Finite Group Databasebeta

← #6394736

Subgroups — #6394736

Order 512.

2402 conjugacy classes of subgroups.

The subgroup lattice has 1585 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2974C211yesmaximal, characteristic, complemented
2C2×D4×M16C211yesmaximal, characteristic, complemented
3C4×#534C211yesmaximal, characteristic
4#23120C211yesmaximal, characteristic, complemented
5#23117C211yesmaximal, characteristic, complemented
6#23117C211yesmaximal, characteristic, complemented
7#23116C211yesmaximal, characteristic, complemented
8#22989C211yesmaximal, characteristic, complemented
9#22987C211yesmaximal, characteristic, complemented
10#22987C211yesmaximal, characteristic, complemented
11#22985C211yesmaximal, characteristic, complemented
12#22914C211yesmaximal, characteristic, complemented
13#22912C211yesmaximal, characteristic, complemented
14#22906C211yesmaximal, characteristic, complemented
15#22904C211yesmaximal, characteristic, complemented
16#22852C211yesmaximal, characteristic, complemented
17#22850C211yesmaximal, characteristic, complemented
18#22848C211yesmaximal, characteristic, complemented
19#22846C211yesmaximal, characteristic, complemented
20#22073C211yesmaximal, characteristic, complemented
21#22071C211yesmaximal, characteristic, complemented
22#22038C211yesmaximal, characteristic, complemented
23#22036C211yesmaximal, characteristic, complemented
24#21740C211yesmaximal, characteristic, complemented
25#21565C211yesmaximal, characteristic, complemented
26#21562C211yesmaximal, characteristic, complemented
27#21441C211yesmaximal, characteristic, complemented
28#21439C211yesmaximal, characteristic, complemented
29#20898C211yesmaximal, characteristic, complemented
30C2×#1851C211yesmaximal, characteristic, complemented
31#20524C211yesmaximal, characteristic, complemented
32C23×M16C2211yescharacteristic
33C23×M16C2211yescharacteristic, complemented
34C2×#534C411yescharacteristic
35C22×C4×D4C2211yescharacteristic
36C22×C4×D4C2211yescharacteristic
37#2974—28no—
38D4×M16—28no—
39C2×#436C2211yescharacteristic
40C2×#436C2211yescharacteristic
41C2×#436C2211yescharacteristic
42C2×#436C2211yescharacteristic
43C2×#436C2211yescharacteristic, complemented
44C2×#435C2211yescharacteristic
45C2×#435C2211yescharacteristic
46C2×#435C2211yescharacteristic
47C2×#435C2211yescharacteristic
48C2×#435C2211yescharacteristic, complemented
49C2×#435C2211yescharacteristic, complemented
50C2×#435C2211yescharacteristic, complemented
51C2×#435C2211yescharacteristic, complemented
52C2×#435C2211yescharacteristic, complemented
53C2×#435C2211yescharacteristic, complemented
54C2×C8×D4C2211yescharacteristic, complemented
55C2×C8×D4C2211yescharacteristic, complemented
56C2×C8×D4C2211yescharacteristic, complemented
57C2×C8×D4C2211yescharacteristic, complemented
58C2×C8×D4C2211yescharacteristic, complemented
59C2×#432C2211yescharacteristic, complemented
60C2×#431C2211yescharacteristic, complemented
61C2×#423C2211yescharacteristic, complemented
62C22×C4⋊C8C2211yescharacteristic, complemented
63C22×C4⋊C8C2211yescharacteristic, complemented
64C2×#407C2211yescharacteristic
65C2×#407C2211yescharacteristic
66C2×#407C2211yescharacteristic, complemented
67C2×#407C2211yescharacteristic, complemented
68C2×#407C2211yescharacteristic, complemented
69C2×#407C2211yescharacteristic, complemented
70C22×C22⋊C8C2211yescharacteristic
71C22×C22⋊C8C2211yescharacteristic, complemented
72C2×C4×M16C2211yescharacteristic, complemented
73#2325C411yescharacteristic
74#2325C411yescharacteristic
75#2325C411yescharacteristic
76#2325C411yescharacteristic
77#2322C411yescharacteristic
78#2322C411yescharacteristic
79#2322C411yescharacteristic
80#2322C411yescharacteristic
81#2321C411yescharacteristic
82#2321C411yescharacteristic
83#2321C411yescharacteristic
84#2321C411yescharacteristic
85#2315C411yescharacteristic
86#2308C411yescharacteristic
87#2308C411yescharacteristic
88C4×#123C2211yescharacteristic
89C4×#123C2211yescharacteristic
90C4×#123C2211yescharacteristic
91C4×#123C2211yescharacteristic
92C4×#121C2211yescharacteristic
93C4×#121C2211yescharacteristic
94C4×#121C2211yescharacteristic
95C4×#121C2211yescharacteristic
96C4×#120C2211yescharacteristic
97C4×#120C2211yescharacteristic
98C4×#120C2211yescharacteristic
99C4×#120C2211yescharacteristic
100C2×C4×C22⋊C4C2211yescharacteristic
101#1955C2211yescharacteristic, complemented
102#1955C2211yescharacteristic, complemented
103#1954C2211yescharacteristic, complemented
104#1954C2211yescharacteristic, complemented
105#1940C2211yescharacteristic, complemented
106#1940C2211yescharacteristic, complemented
107#1939C2211yescharacteristic, complemented
108#1939C2211yescharacteristic, complemented
109#1924C2211yescharacteristic, complemented
110#1924C2211yescharacteristic, complemented
111#1924C2211yescharacteristic, complemented
112#1924C2211yescharacteristic, complemented
113#1924C2211yescharacteristic, complemented
114#1924C2211yescharacteristic, complemented
115#1924C2211yescharacteristic, complemented
116#1924C2211yescharacteristic, 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#1917C2211yescharacteristic, complemented
126#1917C2211yescharacteristic, complemented
127#1917C2211yescharacteristic, complemented
128#1917C2211yescharacteristic, complemented
129#1916C2211yescharacteristic, complemented
130#1916C2211yescharacteristic, complemented
131#1916C2211yescharacteristic, complemented
132#1916C2211yescharacteristic, complemented
133#1870C2211yescharacteristic
134#1870C2211yescharacteristic
135#1870C2211yescharacteristic
136#1870C2211yescharacteristic
137#1870C2211yescharacteristic
138#1870C2211yescharacteristic
139#1870C2211yescharacteristic
140#1870C2211yescharacteristic
141#1870C2211yescharacteristic, complemented
142#1870C2211yescharacteristic, complemented
143#1870C2211yescharacteristic, complemented
144#1870C2211yescharacteristic, complemented
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#1851C2211yescharacteristic, complemented
158#1851C2211yescharacteristic, complemented
159#1851C2211yescharacteristic, complemented
160#1851C2211yescharacteristic, complemented
161#1851C2211yescharacteristic, complemented
162#1851C2211yescharacteristic, complemented
163#1851C2211yescharacteristic, complemented
164#1851C2211yescharacteristic, complemented
165#1851C2211yescharacteristic, complemented
166#1851C2211yescharacteristic, complemented
167#1851C2211yescharacteristic, complemented
168#1851C2211yescharacteristic, complemented
169#1850C2211yescharacteristic, complemented
170#1850C2211yescharacteristic, complemented
171#1850C2211yescharacteristic, complemented
172#1850C2211yescharacteristic, complemented
173#1817C2211yescharacteristic, complemented
174#1817C2211yescharacteristic, complemented
175#1779C2211yescharacteristic, complemented
176#1779C2211yescharacteristic, complemented
177#1771C2211yescharacteristic, complemented
178#1771C2211yescharacteristic, complemented
179#1770C2211yescharacteristic, complemented
180C8×C4⋊C4C2211yescharacteristic, complemented
181#1753C2211yescharacteristic, complemented
182#1753C2211yescharacteristic, complemented
183#1753C2211yescharacteristic, complemented
184#1753C2211yescharacteristic, complemented
185#1753C2211yescharacteristic, complemented
186#1753C2211yescharacteristic, 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
197#1749C2211yescharacteristic, complemented
198#1749C2211yescharacteristic, complemented
199C4×C22⋊C8C2211yescharacteristic, complemented
200C4×C22⋊C8C2211yescharacteristic, complemented
201#1728C2211yescharacteristic, complemented
202#1728C2211yescharacteristic, complemented
203C2×#336C2211yescharacteristic, complemented
204C2×#336C2211yescharacteristic, complemented
205C23×D4C2×C411yescharacteristic
206C23×D4C2×C411yescharacteristic
207C24×C4C2311yescharacteristic
208C24×C4C2311yescharacteristic
209C24×C4C2311yescharacteristic
210C22×M16—24no—
211C22×M16—24no—
212C22×M16—42no—
213C22×M16—42no—
214C22×M16—42no—
215C22×M16—42no—
216C22×M16C2311yescharacteristic
217C22×M16C2311yescharacteristic
218C22×M16C2311yescharacteristic
219C22×M16C2311yescharacteristic
220C22×M16C2311yescharacteristic
221C22×M16C2311yescharacteristic
222C22×M16C2311yescharacteristic
223C22×M16C2311yescharacteristic
224C22×M16C2311yescharacteristic
225C22×M16C2311yescharacteristic
226C22×M16C2311yescharacteristic
227C22×M16C2311yescharacteristic
228C23×C8C2311yescharacteristic
229C23×C8C2311yescharacteristic
230C23×C8C2311yescharacteristic
231C23×C8C2311yescharacteristic
232C23×C8C2311yescharacteristic
233C23×C8C2311yescharacteristic
234C23×C8C2311yescharacteristic
235C23×C8C2311yescharacteristic
236#534—28no—
237C2×#123C2×C411yescharacteristic
238C2×#123C2×C411yescharacteristic
239C2×#123C2×C411yescharacteristic
240C2×#123C2×C411yescharacteristic
241C2×#121C2×C411yescharacteristic
242C2×#121C2×C411yescharacteristic
243C2×#121C2×C411yescharacteristic
244C2×#121C2×C411yescharacteristic
245C2×#120C2×C411yescharacteristic
246C2×#120C2×C411yescharacteristic
247C2×#120C2×C411yescharacteristic
248C2×#120C2×C411yescharacteristic
249C2×C4×D4—24no—
250C2×C4×D4—24no—
251C2×C4×D4—24no—
252C2×C4×D4—24no—
253C2×C4×D4C2×C411yescharacteristic
254C2×C4×D4C2×C411yescharacteristic
255C2×C4×D4C2×C411yescharacteristic
256C2×C4×D4C2×C411yescharacteristic
257C2×C4×D4C2×C411yescharacteristic
258C2×C4×D4C2×C411yescharacteristic
259C2×C4×D4C2×C411yescharacteristic
260C2×C4×D4C2×C411yescharacteristic
261C2×C4×D4C2311yescharacteristic
262C2×C4×D4C2311yescharacteristic
263C2×C4×D4C2311yescharacteristic
264C2×C4×D4C2311yescharacteristic
265C2×C4×D4C2311yescharacteristic
266C2×C4×D4C2311yescharacteristic
267C2×C4×D4C2311yescharacteristic
268C2×C4×D4C2311yescharacteristic
269C2×C4×D4C2311yescharacteristic
270C2×C4×D4C2311yescharacteristic
271C2×C4×D4C2311yescharacteristic
272C2×C4×D4C2311yescharacteristic
273C22×C4⋊C4C2×C411yescharacteristic
274C22×C4⋊C4C2×C411yescharacteristic
275C22×C22⋊C4C2×C411yescharacteristic
276C22×C22⋊C4C2×C411yescharacteristic
277C22×C22⋊C4C2×C411yescharacteristic
278C22×C22⋊C4C2×C411yescharacteristic
279C22×C22⋊C4C2×C411yescharacteristic
280C22×C22⋊C4C2×C411yescharacteristic
281C22×C42C2311yescharacteristic
282C22×C42C2311yescharacteristic
283C22×C42C2311yescharacteristic
284C22×C42C2311yescharacteristic
285#436—24no—
286#436—24no—
287#436—24no—
288#436—24no—
289#436—42no—
290#435—24no—
291#435—24no—
292#435—24no—
293#435—24no—
294#435—24no—
295#435—24no—
296#435—24no—
297#435—24no—
298#435—42no—
299#435—42no—
300C8×D4—24no—
301C8×D4—24no—
302C8×D4—24no—
303C8×D4—24no—
304C8×D4—42no—
305#432—24no—
306#431—24no—
307#423—24no—
308C2×C4⋊C8—42no—
309C2×C4⋊C8—42no—
310C2×C4⋊C8C2311yescharacteristic
311C2×C4⋊C8C2311yescharacteristic
312C2×C4⋊C8C2311yescharacteristic
313C2×C4⋊C8C2311yescharacteristic
314C2×C4⋊C8C2311yescharacteristic
315C2×C4⋊C8C2311yescharacteristic
316C2×C4⋊C8C2311yescharacteristic
317C2×C4⋊C8C2311yescharacteristic
318C2×C4⋊C8C2311yescharacteristic
319C2×C4⋊C8C2311yescharacteristic
320C2×C4⋊C8C2311yescharacteristic
321C2×C4⋊C8C2311yescharacteristic
322C2×C4⋊C8C2311yescharacteristic
323C2×C4⋊C8C2311yescharacteristic
324C2×C4⋊C8C2311yescharacteristic
325C2×C4⋊C8C2311yescharacteristic
326#407—24no—
327#407—24no—
328#407—24no—
329#407—42no—
330#407—42no—
331#407D418yescomplemented
332C2×C22⋊C8—24no—
333C2×C22⋊C8—24no—
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×C22⋊C8C2311yescharacteristic
367C2×C22⋊C8C2311yescharacteristic
368C2×C22⋊C8C2311yescharacteristic
369C2×C22⋊C8C2311yescharacteristic
370C4×M16—24no—
371C2×#97C2311yescharacteristic
372C2×#97C2311yescharacteristic
373C2×#97C2311yescharacteristic
374C2×#97C2311yescharacteristic
375C2×#97C2311yescharacteristic
376C2×#97C2311yescharacteristic
377C2×#97C2311yescharacteristic
378C2×#97C2311yescharacteristic
379C2×C4×C8C2311yescharacteristic
380C2×C4×C8C2311yescharacteristic
381C2×C4×C8C2311yescharacteristic
382C2×C4×C8C2311yescharacteristic
383C2×C4×C8C2311yescharacteristic
384C2×C4×C8C2311yescharacteristic
385C2×C4×C8C2311yescharacteristic
386C2×C4×C8C2311yescharacteristic
387#390C2×C411yescharacteristic
388#390C2×C411yescharacteristic
389#390C2×C411yescharacteristic
390#390C2×C411yescharacteristic
391#389C2×C411yescharacteristic
392#389C2×C411yescharacteristic
393#389C2×C411yescharacteristic
394#389C2×C411yescharacteristic
395#388C2×C411yescharacteristic
396#388C2×C411yescharacteristic
397#388C2×C411yescharacteristic
398#388C2×C411yescharacteristic
399#388C2×C411yescharacteristic
400#388C2×C411yescharacteristic
401#388C2×C411yescharacteristic
402#388C2×C411yescharacteristic
403#388C2×C411yescharacteristic
404#388C2×C411yescharacteristic
405#388C2×C411yescharacteristic
406#388C2×C411yescharacteristic
407#388C2×C411yescharacteristic
408#388C2×C411yescharacteristic
409#388C2×C411yescharacteristic
410#388C2×C411yescharacteristic
411#387C2×C411yescharacteristic
412#387C2×C411yescharacteristic
413#387C2×C411yescharacteristic
414#387C2×C411yescharacteristic
415#387C2×C411yescharacteristic
416#387C2×C411yescharacteristic
417#387C2×C411yescharacteristic
418#387C2×C411yescharacteristic
419#386C2×C411yescharacteristic
420#386C2×C411yescharacteristic
421#386C2×C411yescharacteristic
422#386C2×C411yescharacteristic
423#386C2×C411yescharacteristic
424#386C2×C411yescharacteristic
425#386C2×C411yescharacteristic
426#386C2×C411yescharacteristic
427#386C2×C411yescharacteristic
428#386C2×C411yescharacteristic
429#386C2×C411yescharacteristic
430#386C2×C411yescharacteristic
431#386C2×C411yescharacteristic
432#386C2×C411yescharacteristic
433#386C2×C411yescharacteristic
434#386C2×C411yescharacteristic
435#386C2×C411yescharacteristic
436#386C2×C411yescharacteristic
437#386C2×C411yescharacteristic
438#386C2×C411yescharacteristic
439#386C2×C411yescharacteristic
440#386C2×C411yescharacteristic
441#386C2×C411yescharacteristic
442#386C2×C411yescharacteristic
443#385C2×C411yescharacteristic
444#385C2×C411yescharacteristic
445#385C2×C411yescharacteristic
446#385C2×C411yescharacteristic
447#385C2×C411yescharacteristic
448#385C2×C411yescharacteristic
449#385C2×C411yescharacteristic
450#385C2×C411yescharacteristic
451#385C2×C411yescharacteristic
452#385C2×C411yescharacteristic
453#385C2×C411yescharacteristic
454#385C2×C411yescharacteristic
455#385C2×C411yescharacteristic
456#385C2×C411yescharacteristic
457#385C2×C411yescharacteristic
458#385C2×C411yescharacteristic
459#381C2×C411yescharacteristic
460#381C2×C411yescharacteristic
461#381C2×C411yescharacteristic
462#381C2×C411yescharacteristic
463#380C2×C411yescharacteristic
464#380C2×C411yescharacteristic
465#380C2×C411yescharacteristic
466#380C2×C411yescharacteristic
467#379C2×C411yescharacteristic
468#379C2×C411yescharacteristic
469#379C2×C411yescharacteristic
470#379C2×C411yescharacteristic
471C4×C4⋊C4C2311yescharacteristic
472C4×C4⋊C4C2311yescharacteristic
473C4×C4⋊C4C2311yescharacteristic
474C4×C4⋊C4C2311yescharacteristic
475C4×C22⋊C4C2×C411yescharacteristic
476C4×C22⋊C4C2×C411yescharacteristic
477C4×C22⋊C4C2×C411yescharacteristic
478C4×C22⋊C4C2×C411yescharacteristic
479C4×C22⋊C4C2311yescharacteristic
480C4×C22⋊C4C2311yescharacteristic
481C4×C22⋊C4C2311yescharacteristic
482C4×C22⋊C4C2311yescharacteristic
483C4×C22⋊C4C2311yescharacteristic
484C4×C22⋊C4C2311yescharacteristic
485C4×C22⋊C4C2311yescharacteristic
486C4×C22⋊C4C2311yescharacteristic
487C4×C22⋊C4C2311yescharacteristic
488C4×C22⋊C4C2311yescharacteristic
489C4×C22⋊C4C2311yescharacteristic
490C4×C22⋊C4C2311yescharacteristic
491C2×#95C2×C411yescharacteristic
492C2×#95C2×C411yescharacteristic
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
514#336C2311yescharacteristic
515#336C2311yescharacteristic
516#336C2311yescharacteristic
517#336C2311yescharacteristic
518#336C2311yescharacteristic
519#336C2311yescharacteristic
520#336C2311yescharacteristic
521#336C2311yescharacteristic
522#336C2311yescharacteristic
523#336C2311yescharacteristic
524#336C2311yescharacteristic
525C25C22×C411yescharacteristic
526C25C22×C411yescharacteristic
527C25C22×C411yescharacteristic
528C22×D4—24no—
529C22×D4—24no—
530C22×D4—24no—
531C22×D4—24no—
532C22×D4—42no—
533C22×D4—42no—
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×C4—41no—
559C23×C4—41no—
560C23×C4—41no—
561C23×C4—41no—
562C23×C4C22×C411yescharacteristic
563C23×C4C22×C411yescharacteristic
564C23×C4C22×C411yescharacteristic
565C23×C4C22×C411yescharacteristic
566C23×C4C22×C411yescharacteristic
567C23×C4C22×C411yescharacteristic
568C23×C4C22×C411yescharacteristic
569C23×C4C22×C411yescharacteristic
570C23×C4C22×C411yescharacteristic
571C23×C4C22×C411yescharacteristic
572C23×C4C22×C411yescharacteristic
573C23×C4C22×C411yescharacteristic
574C23×C4C22×C411yescharacteristic
575C23×C4C22×C411yescharacteristic
576C23×C4C22×C411yescharacteristic
577C23×C4C22×C411yescharacteristic
578C23×C4C22×C411yescharacteristic
579C23×C4C2×D414yes—
580C23×C4#4114yes—
581C23×C4C2411yescharacteristic
582C23×C4C2411yescharacteristic
583C23×C4C2411yescharacteristic
584C23×C4C2411yescharacteristic
585C23×C4C2411yescharacteristic
586C23×C4C2411yescharacteristic
587C23×C4C2411yescharacteristic
588C2×M16—22no—
589C2×M16—22no—
590C2×M16—22no—
591C2×M16—22no—
592C2×M16—22no—
593C2×M16—22no—
594C2×M16—22no—
595C2×M16—22no—
596C2×M16—22no—
597C2×M16—22no—
598C2×M16—22no—
599C2×M16—22no—
600C2×M16—22no—
601C2×M16—22no—
602C2×M16—22no—
603C2×M16—22no—
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—
622C2×M16—416no—
623C2×M16—416no—
624C2×M16C2×D414yes—
625C2×M16C2×D414yes—
626C22×C8—22no—
627C22×C8—22no—
628C22×C8—22no—
629C22×C8—22no—
630C22×C8—22no—
631C22×C8—22no—
632C22×C8—22no—
633C22×C8—22no—
634C22×C8—22no—
635C22×C8—22no—
636C22×C8—22no—
637C22×C8—22no—
638C22×C8—41no—
639C22×C8—41no—
640C22×C8—41no—
641C22×C8—41no—
642C22×C8—41no—
643C22×C8—41no—
644C22×C8—41no—
645C22×C8—41no—
646C22×C8—41no—
647C22×C8—41no—
648C22×C8—41no—
649C22×C8—41no—
650C22×C8C2411yescharacteristic
651C22×C8C2411yescharacteristic
652C22×C8C2411yescharacteristic
653C22×C8C2411yescharacteristic
654C22×C8C2411yescharacteristic
655C22×C8C2411yescharacteristic
656C22×C8C2411yescharacteristic
657C22×C8C2411yescharacteristic
658C22×C8C2411yescharacteristic
659C22×C8C2411yescharacteristic
660C22×C8C2411yescharacteristic
661C22×C8C2411yescharacteristic
662C22×C8C2411yescharacteristic
663C22×C8C2411yescharacteristic
664C22×C8C2411yescharacteristic
665C22×C8C2411yescharacteristic
666#123—24no—
667#123—24no—
668#123—24no—
669#123—24no—
670#121—24no—
671#121—24no—
672#121—24no—
673#121M1618yescomplemented
674#120—24no—
675#120—24no—
676#120—24no—
677#120—24no—
678C4×D4—24no—
679C4×D4—24no—
680C4×D4—24no—
681C4×D4—24no—
682C4×D4—24no—
683C4×D4—24no—
684C4×D4—24no—
685C4×D4—24no—
686C4×D4—22no—
687C4×D4—22no—
688C4×D4—22no—
689C4×D4—22no—
690C4×D4—22no—
691C4×D4—22no—
692C4×D4—22no—
693C4×D4—22no—
694C4×D4—22no—
695C4×D4—22no—
696C4×D4—22no—
697C4×D4—22no—
698C4×D4—22no—
699C4×D4—22no—
700C4×D4—22no—
701C4×D4—22no—
702C4×D4—41no—
703C4×D4—41no—
704C4×D4—41no—
705C4×D4—41no—
706C4×D4—41no—
707C4×D4—41no—
708C4×D4—41no—
709C4×D4—41no—
710C2×C4⋊C4—24no—
711C2×C4⋊C4—24no—
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×C22⋊C4—24no—
733C2×C22⋊C4—24no—
734C2×C22⋊C4—24no—
735C2×C22⋊C4—24no—
736C2×C22⋊C4—24no—
737C2×C22⋊C4—42no—
738C2×C22⋊C4C22×C411yescharacteristic
739C2×C22⋊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×C42—22no—
787C2×C42—22no—
788C2×C42—22no—
789C2×C42—22no—
790C2×C42—41no—
791C2×C42—41no—
792C2×C42—41no—
793C2×C42—41no—
794C2×C42C22×C411yescharacteristic
795C2×C42C22×C411yescharacteristic
796C2×C42C22×C411yescharacteristic
797C2×C42C22×C411yescharacteristic
798C2×C42C22×C411yescharacteristic
799C2×C42C22×C411yescharacteristic
800C2×C42C22×C411yescharacteristic
801C2×C42C22×C411yescharacteristic
802C2×C42C2411yescharacteristic
803C2×C42C2411yescharacteristic
804C2×C42C2411yescharacteristic
805C2×C42C2411yescharacteristic
806C2×C42C2411yescharacteristic
807C2×C42C2411yescharacteristic
808C2×C42C2411yescharacteristic
809C2×C42C2411yescharacteristic
810C4⋊C8—22no—
811C4⋊C8—22no—
812C4⋊C8—22no—
813C4⋊C8—22no—
814C4⋊C8—22no—
815C4⋊C8—22no—
816C4⋊C8—22no—
817C4⋊C8—22no—
818C4⋊C8—22no—
819C4⋊C8—22no—
820C4⋊C8—22no—
821C4⋊C8—22no—
822C4⋊C8—41no—
823C4⋊C8—41no—
824C4⋊C8—41no—
825C4⋊C8—41no—
826C22⋊C8—22no—
827C22⋊C8—22no—
828C22⋊C8—22no—
829C22⋊C8—22no—
830C22⋊C8—22no—
831C22⋊C8—22no—
832C22⋊C8—22no—
833C22⋊C8—22no—
834C22⋊C8—22no—
835C22⋊C8—22no—
836C22⋊C8—22no—
837C22⋊C8—22no—
838C22⋊C8—22no—
839C22⋊C8—22no—
840C22⋊C8—22no—
841C22⋊C8—22no—
842C22⋊C8—22no—
843C22⋊C8—22no—
844C22⋊C8—22no—
845C22⋊C8—22no—
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⋊C8C2×D414yes—
859C22⋊C8C2×D414yes—
860C22⋊C8C2×D414yes—
861C22⋊C8C2×D414yes—
862#97—22no—
863#97—22no—
864#97—22no—
865#97—22no—
866#97—41no—
867#97—41no—
868#97—41no—
869#97—41no—
870C4×C8—22no—
871C4×C8—22no—
872C4×C8—22no—
873C4×C8—22no—
874C4×C8—41no—
875C4×C8—41no—
876C4×C8—41no—
877C4×C8—41no—
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
895#95C22×C411yescharacteristic
896#95C22×C411yescharacteristic
897#95C22×C411yescharacteristic
898#95C22×C411yescharacteristic
899#95C22×C411yescharacteristic
900#95C22×C411yescharacteristic
901#95C22×C411yescharacteristic
902#95C22×C411yescharacteristic
903#95C22×C411yescharacteristic
904#95C22×C411yescharacteristic
905#95C22×C411yescharacteristic
906#95C22×C411yescharacteristic
907#95C22×C411yescharacteristic
908#95C22×C411yescharacteristic
909#95C22×C411yescharacteristic
910C24—22no—
911C24—22no—
912C24—22no—
913C24—22no—
914C24—22no—
915C24—22no—
916C24—41no—
917C24—41no—
918C24—41no—
919C24—41no—
920C24—41no—
921C24—41no—
922C24—41no—
923C24—41no—
924C24—41no—
925C24—41no—
926C24—41no—
927C24—41no—
928C24—41no—
929C24—41no—
930C24C4×D414yes—
931C24C23×C411yescharacteristic
932C24C23×C411yescharacteristic
933C24C23×C411yescharacteristic
934C24C23×C411yescharacteristic
935C24C23×C411yescharacteristic
936C24C23×C411yescharacteristic
937C24C23×C411yescharacteristic
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—22no—
949C2×D4—22no—
950C2×D4—22no—
951C2×D4—22no—
952C2×D4—22no—
953C2×D4—22no—
954C2×D4—22no—
955C2×D4—22no—
956C2×D4—22no—
957C2×D4—22no—
958C2×D4—22no—
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—416no—
972C2×D4—416no—
973C2×D4C2×M1614yes—
974C2×D4C2×M1614yescomplemented
975C2×D4C2×M1614yescomplemented
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—21no—
986C22×C4—21no—
987C22×C4—21no—
988C22×C4—22no—
989C22×C4—22no—
990C22×C4—22no—
991C22×C4—22no—
992C22×C4—22no—
993C22×C4—22no—
994C22×C4—22no—
995C22×C4—22no—
996C22×C4—22no—
997C22×C4—22no—
998C22×C4—22no—
999C22×C4—22no—
1000C22×C4—22no—
1001C22×C4—21no—
1002C22×C4—21no—
1003C22×C4—21no—
1004C22×C4—21no—
1005C22×C4—21no—
1006C22×C4—21no—
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—22no—
1026C22×C4—22no—
1027C22×C4—44no—
1028C22×C4—44no—
1029C22×C4—44no—
1030C22×C4—44no—
1031C22×C4—41no—
1032C22×C4—41no—
1033C22×C4—41no—
1034C22×C4—41no—
1035C22×C4—41no—
1036C22×C4—41no—
1037C22×C4—41no—
1038C22×C4—41no—
1039C22×C4—41no—
1040C22×C4—41no—
1041C22×C4—41no—
1042C22×C4—41no—
1043C22×C4—41no—
1044C22×C4—41no—
1045C22×C4—41no—
1046C22×C4—41no—
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—41no—
1060C22×C4—41no—
1061C22×C4—41no—
1062C22×C4—41no—
1063C22×C4—44no—
1064C22×C4—44no—
1065C22×C4—44no—
1066C22×C4—44no—
1067C22×C4—82no—
1068C22×C4—82no—
1069C22×C4—82no—
1070C22×C4—82no—
1071C22×C4C4×D414yes—
1072C22×C4C4×D414yes—
1073C22×C4C4×D414yes—
1074C22×C4C2×M1614yescomplemented
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×C4C23×C411yescharacteristic
1090C22×C4C23×C411yescharacteristic
1091C22×C4C23×C411yescharacteristic
1092C22×C4C23×C411yescharacteristic
1093C22×C4C23×C411yescharacteristic
1094C22×C4C23×C411yescharacteristic
1095C22×C4C23×C411yescharacteristic
1096C22×C4C23×C411yescharacteristic
1097C22×C4C23×C411yescharacteristic
1098C22×C4C22×D412yes—
1099C22×C4C22×D412yes—
1100C22×C4C22×D412yes—
1101C22×C4C2×#4112yes—
1102C22×C4C2×#4112yes—
1103C22×C4C2×#4112yes—
1104C22×C4C2511yescharacteristic
1105M16—28no—
1106M16—44no—
1107M16—44no—
1108M16—44no—
1109M16—44no—
1110M16—44no—
1111M16—44no—
1112M16—44no—
1113M16—82no—
1114M16—82no—
1115M16—82no—
1116M16—82no—
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—21no—
1150C2×C8—21no—
1151C2×C8—21no—
1152C2×C8—21no—
1153C2×C8—21no—
1154C2×C8—21no—
1155C2×C8—21no—
1156C2×C8—21no—
1157C2×C8—21no—
1158C2×C8—21no—
1159C2×C8—44no—
1160C2×C8—44no—
1161C2×C8—44no—
1162C2×C8—44no—
1163C2×C8—82no—
1164C2×C8—82no—
1165C2×C8—82no—
1166C2×C8—82no—
1167C2×C8C22×D412yes—
1168C2×C8C22×D412yes—
1169C2×C8C22×D412yes—
1170C2×C8C22×D412yes—
1171C2×C8H(5,𝔽2)12yes—
1172C2×C8H(5,𝔽2)12yes—
1173C4⋊C4—22no—
1174C4⋊C4—22no—
1175C4⋊C4—22no—
1176C4⋊C4—22no—
1177C4⋊C4—22no—
1178C4⋊C4—22no—
1179C4⋊C4—22no—
1180C4⋊C4—22no—
1181C4⋊C4—22no—
1182C4⋊C4—22no—
1183C4⋊C4—22no—
1184C4⋊C4—41no—
1185C4⋊C4—41no—
1186C4⋊C4—41no—
1187C4⋊C4—41no—
1188C4⋊C4—41no—
1189C4⋊C4—41no—
1190C4⋊C4—41no—
1191C4⋊C4—41no—
1192C4⋊C4C2×M1614yescomplemented
1193C22⋊C4—22no—
1194C22⋊C4—22no—
1195C22⋊C4—22no—
1196C22⋊C4—22no—
1197C22⋊C4—22no—
1198C22⋊C4—22no—
1199C22⋊C4—22no—
1200C22⋊C4—22no—
1201C22⋊C4—22no—
1202C22⋊C4—22no—
1203C22⋊C4—22no—
1204C22⋊C4—22no—
1205C22⋊C4—22no—
1206C22⋊C4—22no—
1207C22⋊C4—22no—
1208C22⋊C4—22no—
1209C22⋊C4—22no—
1210C22⋊C4—22no—
1211C22⋊C4—22no—
1212C22⋊C4—22no—
1213C22⋊C4—22no—
1214C22⋊C4—22no—
1215C22⋊C4—22no—
1216C22⋊C4—22no—
1217C22⋊C4—22no—
1218C22⋊C4—22no—
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⋊C4C2×M1614yescomplemented
1240C22⋊C4C2×M1614yescomplemented
1241C42—22no—
1242C42—22no—
1243C42—22no—
1244C42—22no—
1245C42—21no—
1246C42—21no—
1247C42—21no—
1248C42—21no—
1249C42—21no—
1250C42—21no—
1251C42—21no—
1252C42—21no—
1253C42—21no—
1254C42—21no—
1255C42—21no—
1256C42—21no—
1257C42—21no—
1258C42—21no—
1259C42—21no—
1260C42—21no—
1261C42—41no—
1262C42—41no—
1263C42—41no—
1264C42—41no—
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—28no—
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—44no—
1309C23—44no—
1310C23—44no—
1311C23—44no—
1312C23—44no—
1313C23—44no—
1314C23—82no—
1315C23—82no—
1316C23—82no—
1317C23—82no—
1318C23—82no—
1319C23—82no—
1320C23—82no—
1321C23—82no—
1322C23—82no—
1323C23—82no—
1324C23—82no—
1325C23—82no—
1326C23—82no—
1327C23—82no—
1328C23C2×C4×D412yes—
1329C23C2×C4×D412yes—
1330C23C2×C4×D412yes—
1331C23C22×M1612yes—
1332C23C22×M1612yes—
1333C23C22×M1612yes—
1334C23#56812yes—
1335C23C24×C411yescharacteristic
1336D4—28no—
1337D4—28no—
1338D4—44no—
1339D4—44no—
1340D4—44no—
1341D4—44no—
1342D4—44no—
1343D4—44no—
1344D4—44no—
1345D4—82no—
1346D4—82no—
1347D4—82no—
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—22no—
1363C2×C4—22no—
1364C2×C4—22no—
1365C2×C4—22no—
1366C2×C4—22no—
1367C2×C4—22no—
1368C2×C4—22no—
1369C2×C4—22no—
1370C2×C4—22no—
1371C2×C4—22no—
1372C2×C4—22no—
1373C2×C4—22no—
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—44no—
1423C2×C4—44no—
1424C2×C4—44no—
1425C2×C4—44no—
1426C2×C4—44no—
1427C2×C4—44no—
1428C2×C4—44no—
1429C2×C4—44no—
1430C2×C4—44no—
1431C2×C4—44no—
1432C2×C4—44no—
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—82no—
1450C2×C4—82no—
1451C2×C4—82no—
1452C2×C4—82no—
1453C2×C4—82no—
1454C2×C4—82no—
1455C2×C4C2×C4×D412yes—
1456C2×C4C2×C4×D412yes—
1457C2×C4C2×C4×D412yes—
1458C2×C4C22×M1612yes—
1459C2×C4C22×M1612yes—
1460C2×C4C22×M1612yes—
1461C2×C4C22×M1612yes—
1462C2×C4C23×D411yescharacteristic
1463C2×C4C22×#4111yescharacteristic
1464C2×C4C2×H(5,𝔽2)11yescharacteristic
1465C2×C4C2×H(5,𝔽2)11yescharacteristic
1466C2×C4#58511yescharacteristic
1467C2×C4#58511yescharacteristic
1468C8—22no—
1469C8—22no—
1470C8—22no—
1471C8—22no—
1472C8—22no—
1473C8—22no—
1474C8—41no—
1475C8—41no—
1476C8—41no—
1477C8—41no—
1478C8—41no—
1479C8—41no—
1480C8—41no—
1481C8—41no—
1482C8—41no—
1483C8—41no—
1484C22—22no—
1485C22—22no—
1486C22—22no—
1487C22—22no—
1488C22—22no—
1489C22—22no—
1490C22—22no—
1491C22—22no—
1492C22—22no—
1493C22—22no—
1494C22—22no—
1495C22—22no—
1496C22—22no—
1497C22—22no—
1498C22—22no—
1499C22—22no—
1500C22—22no—
1501C22—22no—
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—88no—
1533C22—88no—
1534C22—88no—
1535C22D4×M1614yes—
1536C22C22×C4×D411yescharacteristic
1537C22C4×H(5,𝔽2)11yescharacteristic
1538C22C4×H(5,𝔽2)11yescharacteristic
1539C22C23×M1611yescharacteristic
1540C22C2×#56811yescharacteristic
1541C22#357311yescharacteristic
1542C22#357311yescharacteristic
1543C4—22no—
1544C4—22no—
1545C4—22no—
1546C4—22no—
1547C4—22no—
1548C4—22no—
1549C4—22no—
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#348411yescharacteristic
1567C4#348511yescharacteristic
1568C4#350511yescharacteristic
1569C4#350511yescharacteristic
1570C2—24no—
1571C2—42no—
1572C2—42no—
1573C2—42no—
1574C2—42no—
1575C2—81no—
1576C2—81no—
1577C2#3426411yescharacteristic
1578C2C2×D4×M1611yescharacteristic
1579C2#6014211yescharacteristic
1580C2#6030911yescharacteristic
1581C2#6031311yescharacteristic
1582C2#6032211yescharacteristic
1583C2#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
1. C2×#2974C2semidirect
2. C2×D4×M16C2semidirect
4. #23120C2semidirect
5. #23117C2semidirect
6. #23117C2semidirect
7. #23116C2semidirect
8. #22989C2semidirect
9. #22987C2semidirect
10. #22987C2semidirect
11. #22985C2semidirect
12. #22914C2semidirect
13. #22912C2semidirect
14. #22906C2semidirect
15. #22904C2semidirect
16. #22852C2semidirect
17. #22850C2semidirect
18. #22848C2semidirect
19. #22846C2semidirect
20. #22073C2semidirect
21. #22071C2semidirect
22. #22038C2semidirect
23. #22036C2semidirect
24. #21740C2semidirect
25. #21565C2semidirect
26. #21562C2semidirect
27. #21441C2semidirect
28. #21439C2semidirect
29. #20898C2semidirect
30. C2×#1851C2semidirect
31. #20524C2semidirect
33. C23×M16C22semidirect
43. C2×#436C22semidirect
48. C2×#435C22semidirect
49. C2×#435C22semidirect
50. C2×#435C22semidirect
51. C2×#435C22semidirect
52. C2×#435C22semidirect
53. C2×#435C22semidirect
54. C2×C8×D4C22semidirect
55. C2×C8×D4C22semidirect
56. C2×C8×D4C22semidirect
57. C2×C8×D4C22semidirect
58. C2×C8×D4C22semidirect
59. C2×#432C22semidirect
60. C2×#431C22semidirect
61. C2×#423C22semidirect
62. C22×C4⋊C8C22semidirect
63. C22×C4⋊C8C22semidirect
66. C2×#407C22semidirect
67. C2×#407C22semidirect
68. C2×#407C22semidirect
69. C2×#407C22semidirect
71. C22×C22⋊C8C22semidirect
72. C2×C4×M16C22semidirect
101. #1955C22semidirect
102. #1955C22semidirect
103. #1954C22semidirect
104. #1954C22semidirect
105. #1940C22semidirect
106. #1940C22semidirect
107. #1939C22semidirect
108. #1939C22semidirect
109. #1924C22semidirect
110. #1924C22semidirect
111. #1924C22semidirect
112. #1924C22semidirect
113. #1924C22semidirect
114. #1924C22semidirect
115. #1924C22semidirect
116. #1924C22semidirect
117. #1923C22semidirect
118. #1923C22semidirect
119. #1923C22semidirect
120. #1923C22semidirect
121. #1923C22semidirect
122. #1923C22semidirect
123. #1923C22semidirect
124. #1923C22semidirect
125. #1917C22semidirect
126. #1917C22semidirect
127. #1917C22semidirect
128. #1917C22semidirect
129. #1916C22semidirect
130. #1916C22semidirect
131. #1916C22semidirect
132. #1916C22semidirect
141. #1870C22semidirect
142. #1870C22semidirect
143. #1870C22semidirect
144. #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. #1851C22semidirect
158. #1851C22semidirect
159. #1851C22semidirect
160. #1851C22semidirect
161. #1851C22semidirect
162. #1851C22semidirect
163. #1851C22semidirect
164. #1851C22semidirect
165. #1851C22semidirect
166. #1851C22semidirect
167. #1851C22semidirect
168. #1851C22semidirect
169. #1850C22semidirect
170. #1850C22semidirect
171. #1850C22semidirect
172. #1850C22semidirect
173. #1817C22semidirect
174. #1817C22semidirect
175. #1779C22semidirect
176. #1779C22semidirect
177. #1771C22semidirect
178. #1771C22semidirect
179. #1770C22semidirect
180. C8×C4⋊C4C22semidirect
181. #1753C22semidirect
182. #1753C22semidirect
183. #1753C22semidirect
184. #1753C22semidirect
185. #1753C22semidirect
186. #1753C22semidirect
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. #1749C22semidirect
198. #1749C22semidirect
199. C4×C22⋊C8C22semidirect
200. C4×C22⋊C8C22semidirect
201. #1728C22semidirect
202. #1728C22semidirect
203. C2×#336C22semidirect
204. C2×#336C22semidirect
331. #407D4semidirect
673. #121M16semidirect
974. C2×D4C2×M16semidirect
975. C2×D4C2×M16semidirect
1074. C22×C4C2×M16semidirect
1192. C4⋊C4C2×M16semidirect
1239. C22⋊C4C2×M16semidirect
1240. C22⋊C4C2×M16semidirect

Maximal subgroups

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

subgroupindex
C2×#29742
C2×D4×M162
C4×#5342
#231202
#231172
#231162
#229892
#229872
#229852
#229142
#229122
#229062
#229042
#228522
#228502
#228482
#228462
#220732
#220712
#220382
#220362
#217402
#215652
#215622
#214412
#214392
#208982
C2×#18512
#205242