Finite Group Databasebeta

← #6387724

Subgroups — #6387724

Order 512.

2901 conjugacy classes of subgroups.

The subgroup lattice has 1782 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2976C211yesmaximal, characteristic, complemented
2C2×#2879C211yesmaximal, characteristic, complemented
3#34736C211yesmaximal, characteristic
4#22852C211yesmaximal, characteristic, complemented
5#22850C211yesmaximal, characteristic, complemented
6#22849C211yesmaximal, characteristic, complemented
7#22849C211yesmaximal, characteristic, complemented
8#22848C211yesmaximal, characteristic, complemented
9#22847C211yesmaximal, characteristic, complemented
10#22847C211yesmaximal, characteristic, complemented
11#22846C211yesmaximal, characteristic, complemented
12#22561C211yesmaximal, characteristic, complemented
13#22560C211yesmaximal, characteristic, complemented
14#22559C211yesmaximal, characteristic, complemented
15#22559C211yesmaximal, characteristic, complemented
16#22401C211yesmaximal, characteristic, complemented
17#22400C211yesmaximal, characteristic, complemented
18#22399C211yesmaximal, characteristic, complemented
19#22398C211yesmaximal, characteristic, complemented
20#22039C211yesmaximal, characteristic, complemented
21#22037C211yesmaximal, characteristic, complemented
22#22035C211yesmaximal, characteristic, complemented
23#22029C211yesmaximal, characteristic, complemented
24#21936C211yesmaximal, characteristic, complemented
25#21744C211yesmaximal, characteristic, complemented
26#21441C211yesmaximal, characteristic, complemented
27#21441C211yesmaximal, characteristic, complemented
28#21439C211yesmaximal, characteristic, complemented
29#21439C211yesmaximal, characteristic, complemented
30#20581C211yesmaximal, characteristic, complemented
31#20531C211yesmaximal, characteristic, complemented
32C23×#41C2211yescharacteristic
33C23×M16C2211yescharacteristic, complemented
34C23×M16C2211yescharacteristic, complemented
35C2×#525C2211yescharacteristic
36C2×#525C2211yescharacteristic
37C22×C4×D4C2211yescharacteristic
38#2976—28no—
39C2×#436C2211yescharacteristic
40C2×#436C2211yescharacteristic
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×C8×D4C2211yescharacteristic, complemented
55C2×#433C2211yescharacteristic, complemented
56C2×#433C2211yescharacteristic, complemented
57#2879—28no—
58C2×#408C2211yescharacteristic
59C2×#408C2211yescharacteristic
60C2×#408C2211yescharacteristic
61C2×#408C2211yescharacteristic
62C2×#408C2211yescharacteristic
63C2×#408C2211yescharacteristic
64C2×#408C2211yescharacteristic, complemented
65C2×#408C2211yescharacteristic, complemented
66C2×#408C2211yescharacteristic, complemented
67C2×#408C2211yescharacteristic, complemented
68C2×#408C2211yescharacteristic, complemented
69C2×#408C2211yescharacteristic, complemented
70C2×#407C2211yescharacteristic
71C2×#407C2211yescharacteristic
72C2×#407C2211yescharacteristic, complemented
73C2×#407C2211yescharacteristic, complemented
74C2×#407C2211yescharacteristic, complemented
75C2×#407C2211yescharacteristic, complemented
76C22×C22⋊C8C2211yescharacteristic, complemented
77C22×C22⋊C8C2211yescharacteristic, complemented
78#2409C411yescharacteristic
79#2409C411yescharacteristic
80#2408C411yescharacteristic
81#2408C411yescharacteristic
82#2407C411yescharacteristic
83#2407C411yescharacteristic
84#2407C411yescharacteristic
85#2407C411yescharacteristic
86#2406C411yescharacteristic
87#2406C411yescharacteristic
88#2405C411yescharacteristic
89#2405C411yescharacteristic
90#2404C411yescharacteristic
91#2404C411yescharacteristic
92#2403C411yescharacteristic
93#2403C411yescharacteristic
94#2388C2211yescharacteristic
95#2388C2211yescharacteristic
96#2388C2211yescharacteristic
97#2388C2211yescharacteristic
98C4×#120C2211yescharacteristic
99C4×#120C2211yescharacteristic
100C4×#120C2211yescharacteristic
101C4×#120C2211yescharacteristic
102#2297C2211yescharacteristic
103#2297C2211yescharacteristic
104#2280C2211yescharacteristic
105#1955C2211yescharacteristic, complemented
106#1955C2211yescharacteristic, complemented
107#1955C2211yescharacteristic, complemented
108#1955C2211yescharacteristic, complemented
109#1954C2211yescharacteristic, complemented
110#1954C2211yescharacteristic, complemented
111#1954C2211yescharacteristic, complemented
112#1954C2211yescharacteristic, complemented
113#1924C2211yescharacteristic, complemented
114#1924C2211yescharacteristic, complemented
115#1924C2211yescharacteristic, complemented
116#1924C2211yescharacteristic, complemented
117#1924C2211yescharacteristic, complemented
118#1924C2211yescharacteristic, complemented
119#1924C2211yescharacteristic, complemented
120#1924C2211yescharacteristic, complemented
121#1923C2211yescharacteristic, complemented
122#1923C2211yescharacteristic, complemented
123#1923C2211yescharacteristic, complemented
124#1923C2211yescharacteristic, complemented
125#1923C2211yescharacteristic, complemented
126#1923C2211yescharacteristic, complemented
127#1923C2211yescharacteristic, complemented
128#1923C2211yescharacteristic, complemented
129#1870C2211yescharacteristic
130#1870C2211yescharacteristic
131#1870C2211yescharacteristic
132#1870C2211yescharacteristic
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, complemented
144#1869C2211yescharacteristic, 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#1851C2211yescharacteristic, complemented
154#1851C2211yescharacteristic, complemented
155#1851C2211yescharacteristic, complemented
156#1851C2211yescharacteristic, complemented
157#1851C2211yescharacteristic, complemented
158#1851C2211yescharacteristic, complemented
159#1851C2211yescharacteristic, complemented
160#1851C2211yescharacteristic, complemented
161#1851C2211yescharacteristic, complemented
162#1851C2211yescharacteristic, complemented
163#1850C2211yescharacteristic, complemented
164#1850C2211yescharacteristic, complemented
165#1850C2211yescharacteristic, complemented
166#1850C2211yescharacteristic, complemented
167#1850C2211yescharacteristic, complemented
168#1850C2211yescharacteristic, complemented
169#1818C2211yescharacteristic, complemented
170#1818C2211yescharacteristic, complemented
171#1798C2211yescharacteristic, complemented
172#1798C2211yescharacteristic, complemented
173#1797C2211yescharacteristic, complemented
174#1797C2211yescharacteristic, complemented
175#1780C2211yescharacteristic
176#1780C2211yescharacteristic
177#1780C2211yescharacteristic, complemented
178#1780C2211yescharacteristic, complemented
179#1779C2211yescharacteristic
180#1779C2211yescharacteristic
181#1779C2211yescharacteristic, complemented
182#1779C2211yescharacteristic, complemented
183#1779C2211yescharacteristic, complemented
184#1779C2211yescharacteristic, 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#1753C2211yescharacteristic, complemented
194#1753C2211yescharacteristic, complemented
195#1752C2211yescharacteristic, complemented
196#1752C2211yescharacteristic, complemented
197#1752C2211yescharacteristic, complemented
198C8×C22⋊C4C2211yescharacteristic, complemented
199C8×C22⋊C4C2211yescharacteristic, complemented
200C8×C22⋊C4C2211yescharacteristic, complemented
201#1750C2211yescharacteristic, complemented
202#1750C2211yescharacteristic, complemented
203#1749C2211yescharacteristic, complemented
204C4×C22⋊C8C2211yescharacteristic, complemented
205C22×#41—24no—
206C22×#41—24no—
207C22×#41—42no—
208C22×#41—42no—
209C22×#41—42no—
210C22×#41—42no—
211C22×#41C2×C411yescharacteristic
212C22×#41C2×C411yescharacteristic
213C22×#41C2×C411yescharacteristic
214C22×#41C2×C411yescharacteristic
215C22×#41C2311yescharacteristic
216C22×#41C2311yescharacteristic
217C22×#41C2311yescharacteristic
218C22×#41C2311yescharacteristic
219C23×Q8C2×C411yescharacteristic
220C23×D4C2×C411yescharacteristic
221C23×D4C2×C411yescharacteristic
222C23×D4C2×C411yescharacteristic
223C23×D4C2×C411yescharacteristic
224C24×C4C2311yescharacteristic
225C24×C4C2311yescharacteristic
226C24×C4C2311yescharacteristic
227C24×C4C2311yescharacteristic
228C22×M16—24no—
229C22×M16—24no—
230C22×M16—42no—
231C22×M16—42no—
232C22×M16—42no—
233C22×M16—42no—
234C22×M16C2311yescharacteristic
235C22×M16C2311yescharacteristic
236C22×M16C2311yescharacteristic
237C22×M16C2311yescharacteristic
238C22×M16C2311yescharacteristic
239C22×M16C2311yescharacteristic
240C22×M16C2311yescharacteristic
241C22×M16C2311yescharacteristic
242C22×M16C2311yescharacteristic
243C22×M16C2311yescharacteristic
244C22×M16C2311yescharacteristic
245C22×M16C2311yescharacteristic
246C23×C8C2311yescharacteristic
247C23×C8C2311yescharacteristic
248C23×C8C2311yescharacteristic
249C23×C8C2311yescharacteristic
250C23×C8C2311yescharacteristic
251C23×C8C2311yescharacteristic
252C23×C8C2311yescharacteristic
253C23×C8C2311yescharacteristic
254#525—24no—
255#525—24no—
256#525—42no—
257#525—42no—
258C2×#123C2×C411yescharacteristic
259C2×#123C2×C411yescharacteristic
260C2×#123C2×C411yescharacteristic
261C2×#123C2×C411yescharacteristic
262C2×C22⋊Q8C2×C411yescharacteristic
263C2×C22⋊Q8C2×C411yescharacteristic
264C2×C22⋊Q8C2×C411yescharacteristic
265C2×C22⋊Q8C2×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×#117C2311yescharacteristic
297C2×#117C2311yescharacteristic
298C22×C4⋊C4C2×C411yescharacteristic
299C22×C22⋊C4C2×C411yescharacteristic
300C22×C22⋊C4C2×C411yescharacteristic
301C22×C42C2311yescharacteristic
302#436—24no—
303#436—24no—
304#436—42no—
305#436—42no—
306#436—42no—
307#435—24no—
308#435—24no—
309#435—24no—
310#435—24no—
311#435—42no—
312#435—42no—
313#435—42no—
314#435—42no—
315C8×D4—24no—
316C8×D4—24no—
317C8×D4—42no—
318#433—24no—
319#433—24no—
320C2×C4⋊C8C2311yescharacteristic
321C2×C4⋊C8C2311yescharacteristic
322C2×C4⋊C8C2311yescharacteristic
323C2×C4⋊C8C2311yescharacteristic
324C2×C4⋊C8C2311yescharacteristic
325C2×C4⋊C8C2311yescharacteristic
326C2×C4⋊C8C2311yescharacteristic
327C2×C4⋊C8C2311yescharacteristic
328C2×C4⋊C8C2311yescharacteristic
329C2×C4⋊C8C2311yescharacteristic
330C2×C4⋊C8C2311yescharacteristic
331C2×C4⋊C8C2311yescharacteristic
332#408—24no—
333#408—24no—
334#408—24no—
335#408—24no—
336#408—24no—
337#408—24no—
338#408—24no—
339#408—24no—
340#408—24no—
341#408—42no—
342#408—42no—
343#408D418yescomplemented
344#407—24no—
345#407—24no—
346#407—24no—
347#407—24no—
348#407—24no—
349#407—42no—
350C2×C22⋊C8—24no—
351C2×C22⋊C8—42no—
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×C22⋊C8C2311yescharacteristic
403C2×C22⋊C8C2311yescharacteristic
404C2×#97C2311yescharacteristic
405C2×#97C2311yescharacteristic
406C2×#97C2311yescharacteristic
407C2×#97C2311yescharacteristic
408C2×#97C2311yescharacteristic
409C2×#97C2311yescharacteristic
410C2×C4×C8C2311yescharacteristic
411C2×C4×C8C2311yescharacteristic
412C2×C4×C8C2311yescharacteristic
413C2×C4×C8C2311yescharacteristic
414C2×C4×C8C2311yescharacteristic
415C2×C4×C8C2311yescharacteristic
416#395C2×C411yescharacteristic
417#395C2×C411yescharacteristic
418#395C2×C411yescharacteristic
419#395C2×C411yescharacteristic
420#394C2×C411yescharacteristic
421#394C2×C411yescharacteristic
422#394C2×C411yescharacteristic
423#394C2×C411yescharacteristic
424#394C2×C411yescharacteristic
425#394C2×C411yescharacteristic
426#394C2×C411yescharacteristic
427#394C2×C411yescharacteristic
428#394C2×C411yescharacteristic
429#394C2×C411yescharacteristic
430#394C2×C411yescharacteristic
431#394C2×C411yescharacteristic
432#393C2×C411yescharacteristic
433#393C2×C411yescharacteristic
434#393C2×C411yescharacteristic
435#393C2×C411yescharacteristic
436#392C2×C411yescharacteristic
437#392C2×C411yescharacteristic
438#392C2×C411yescharacteristic
439#392C2×C411yescharacteristic
440#392C2×C411yescharacteristic
441#392C2×C411yescharacteristic
442#392C2×C411yescharacteristic
443#392C2×C411yescharacteristic
444#392C2×C411yescharacteristic
445#392C2×C411yescharacteristic
446#392C2×C411yescharacteristic
447#392C2×C411yescharacteristic
448#391C2×C411yescharacteristic
449#391C2×C411yescharacteristic
450#391C2×C411yescharacteristic
451#391C2×C411yescharacteristic
452#390C2×C411yescharacteristic
453#390C2×C411yescharacteristic
454#390C2×C411yescharacteristic
455#390C2×C411yescharacteristic
456#386C2×C411yescharacteristic
457#386C2×C411yescharacteristic
458#386C2×C411yescharacteristic
459#386C2×C411yescharacteristic
460#386C2×C411yescharacteristic
461#386C2×C411yescharacteristic
462#386C2×C411yescharacteristic
463#386C2×C411yescharacteristic
464#386C2×C411yescharacteristic
465#386C2×C411yescharacteristic
466#386C2×C411yescharacteristic
467#386C2×C411yescharacteristic
468#386C2×C411yescharacteristic
469#386C2×C411yescharacteristic
470#386C2×C411yescharacteristic
471#386C2×C411yescharacteristic
472#386C2×C411yescharacteristic
473#386C2×C411yescharacteristic
474#386C2×C411yescharacteristic
475#386C2×C411yescharacteristic
476#385C2×C411yescharacteristic
477#385C2×C411yescharacteristic
478#385C2×C411yescharacteristic
479#385C2×C411yescharacteristic
480#385C2×C411yescharacteristic
481#385C2×C411yescharacteristic
482#385C2×C411yescharacteristic
483#385C2×C411yescharacteristic
484#385C2×C411yescharacteristic
485#385C2×C411yescharacteristic
486#385C2×C411yescharacteristic
487#385C2×C411yescharacteristic
488#381C2×C411yescharacteristic
489#381C2×C411yescharacteristic
490#380C2×C411yescharacteristic
491#380C2×C411yescharacteristic
492#380C2×C411yescharacteristic
493#380C2×C411yescharacteristic
494#379C2×C411yescharacteristic
495#379C2×C411yescharacteristic
496#379C2×C411yescharacteristic
497#379C2×C411yescharacteristic
498#379C2×C411yescharacteristic
499#379C2×C411yescharacteristic
500C4×C22⋊C4C2311yescharacteristic
501C4×C22⋊C4C2311yescharacteristic
502C4×C22⋊C4C2311yescharacteristic
503C4×C22⋊C4C2311yescharacteristic
504C4×C22⋊C4C2311yescharacteristic
505C4×C22⋊C4C2311yescharacteristic
506C4×C22⋊C4C2311yescharacteristic
507C4×C22⋊C4C2311yescharacteristic
508C4×C22⋊C4C2311yescharacteristic
509C4×C22⋊C4C2311yescharacteristic
510C4×C22⋊C4C2311yescharacteristic
511C4×C22⋊C4C2311yescharacteristic
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
525#336C2311yescharacteristic
526#336C2311yescharacteristic
527#336C2311yescharacteristic
528#336C2311yescharacteristic
529#336C2311yescharacteristic
530#336C2311yescharacteristic
531#336C2311yescharacteristic
532#336C2311yescharacteristic
533#336C2311yescharacteristic
534#336C2311yescharacteristic
535#336C2311yescharacteristic
536C25C22×C411yescharacteristic
537C25C22×C411yescharacteristic
538C25C22×C411yescharacteristic
539C25C22×C411yescharacteristic
540C2×#41—24no—
541C2×#41—24no—
542C2×#41—24no—
543C2×#41—24no—
544C2×#41—22no—
545C2×#41—22no—
546C2×#41—22no—
547C2×#41—22no—
548C2×#41—22no—
549C2×#41—22no—
550C2×#41—22no—
551C2×#41—22no—
552C2×#41—22no—
553C2×#41—22no—
554C2×#41—42no—
555C2×#41—42no—
556C2×#41—42no—
557C2×#41—42no—
558C2×#41—41no—
559C2×#41—41no—
560C2×#41—41no—
561C2×#41—41no—
562C2×#41—41no—
563C2×#41—41no—
564C2×#41—41no—
565C2×#41—41no—
566C2×#41—41no—
567C2×#41—41no—
568C2×#41—41no—
569C2×#41—41no—
570C2×#41—42no—
571C2×#41—42no—
572C2×#41—42no—
573C2×#41—42no—
574C2×#41—416no—
575C2×#41—416no—
576C2×#41—416no—
577C2×#41—416no—
578C2×#41C2×D414yes—
579C2×#41#4114yes—
580C22×Q8—24no—
581C22×Q8—42no—
582C22×Q8—42no—
583C22×Q8C22×C411yescharacteristic
584C22×Q8C22×C411yescharacteristic
585C22×Q8C22×C411yescharacteristic
586C22×Q8C22×C411yescharacteristic
587C22×D4—24no—
588C22×D4—24no—
589C22×D4—24no—
590C22×D4—42no—
591C22×D4—42no—
592C22×D4—42no—
593C22×D4—42no—
594C22×D4—42no—
595C22×D4—42no—
596C22×D4—42no—
597C22×D4—42no—
598C22×D4—42no—
599C22×D4C22×C411yescharacteristic
600C22×D4C22×C411yescharacteristic
601C22×D4C22×C411yescharacteristic
602C22×D4C22×C411yescharacteristic
603C22×D4C22×C411yescharacteristic
604C22×D4C22×C411yescharacteristic
605C22×D4C22×C411yescharacteristic
606C22×D4C22×C411yescharacteristic
607C22×D4C22×C411yescharacteristic
608C22×D4C22×C411yescharacteristic
609C22×D4C22×C411yescharacteristic
610C22×D4C22×C411yescharacteristic
611C22×D4C22×C411yescharacteristic
612C22×D4C22×C411yescharacteristic
613C22×D4C22×C411yescharacteristic
614C22×D4C22×C411yescharacteristic
615C22×D4C22×C411yescharacteristic
616C22×D4C22×C411yescharacteristic
617C22×D4C22×C411yescharacteristic
618C22×D4C22×C411yescharacteristic
619C22×D4C22×C411yescharacteristic
620C22×D4C22×C411yescharacteristic
621C22×D4C22×C411yescharacteristic
622C22×D4C22×C411yescharacteristic
623C23×C4—22no—
624C23×C4—22no—
625C23×C4—22no—
626C23×C4—22no—
627C23×C4—22no—
628C23×C4—22no—
629C23×C4—22no—
630C23×C4—22no—
631C23×C4—22no—
632C23×C4—22no—
633C23×C4—22no—
634C23×C4—22no—
635C23×C4—22no—
636C23×C4—22no—
637C23×C4—22no—
638C23×C4—22no—
639C23×C4—41no—
640C23×C4—41no—
641C23×C4—41no—
642C23×C4—41no—
643C23×C4—41no—
644C23×C4—41no—
645C23×C4—41no—
646C23×C4—41no—
647C23×C4C22×C411yescharacteristic
648C23×C4C22×C411yescharacteristic
649C23×C4C22×C411yescharacteristic
650C23×C4C22×C411yescharacteristic
651C23×C4C22×C411yescharacteristic
652C23×C4C22×C411yescharacteristic
653C23×C4C22×C411yescharacteristic
654C23×C4C22×C411yescharacteristic
655C23×C4C22×C411yescharacteristic
656C23×C4C22×C411yescharacteristic
657C23×C4C22×C411yescharacteristic
658C23×C4C22×C411yescharacteristic
659C23×C4C22×C411yescharacteristic
660C23×C4C22×C411yescharacteristic
661C23×C4C2411yescharacteristic
662C23×C4C2411yescharacteristic
663C23×C4C2411yescharacteristic
664C23×C4C2411yescharacteristic
665C23×C4C2411yescharacteristic
666C23×C4C2411yescharacteristic
667C23×C4C2411yescharacteristic
668C23×C4C2411yescharacteristic
669C23×C4C2411yescharacteristic
670C2×M16—22no—
671C2×M16—22no—
672C2×M16—22no—
673C2×M16—22no—
674C2×M16—22no—
675C2×M16—22no—
676C2×M16—22no—
677C2×M16—22no—
678C2×M16—22no—
679C2×M16—22no—
680C2×M16—22no—
681C2×M16—22no—
682C2×M16—22no—
683C2×M16—22no—
684C2×M16—22no—
685C2×M16—22no—
686C2×M16—22no—
687C2×M16—41no—
688C2×M16—41no—
689C2×M16—41no—
690C2×M16—41no—
691C2×M16—41no—
692C2×M16—41no—
693C2×M16—41no—
694C2×M16—41no—
695C2×M16—41no—
696C2×M16—41no—
697C2×M16—41no—
698C2×M16—41no—
699C2×M16—41no—
700C2×M16—41no—
701C2×M16—41no—
702C2×M16—41no—
703C2×M16—41no—
704C2×M16—41no—
705C2×M16—416no—
706C2×M16—416no—
707C2×M16C2×D414yescomplemented
708C22×C8—22no—
709C22×C8—22no—
710C22×C8—22no—
711C22×C8—22no—
712C22×C8—22no—
713C22×C8—22no—
714C22×C8—22no—
715C22×C8—22no—
716C22×C8—22no—
717C22×C8—41no—
718C22×C8—41no—
719C22×C8—41no—
720C22×C8—41no—
721C22×C8—41no—
722C22×C8—41no—
723C22×C8—41no—
724C22×C8—41no—
725C22×C8—41no—
726C22×C8—41no—
727C22×C8—41no—
728C22×C8—41no—
729C22×C8—41no—
730C22×C8—41no—
731C22×C8C2×D414yescomplemented
732C22×C8C2411yescharacteristic
733C22×C8C2411yescharacteristic
734C22×C8C2411yescharacteristic
735C22×C8C2411yescharacteristic
736C22×C8C2411yescharacteristic
737C22×C8C2411yescharacteristic
738C22×C8C2411yescharacteristic
739C22×C8C2411yescharacteristic
740C22×C8C2411yescharacteristic
741C22×C8C2411yescharacteristic
742C22×C8C2411yescharacteristic
743C22×C8C2411yescharacteristic
744C22×C8C2411yescharacteristic
745C22×C8C2411yescharacteristic
746C22×C8C2411yescharacteristic
747C22×C8C2411yescharacteristic
748#123—24no—
749#123—24no—
750#123—42no—
751#123—42no—
752C22⋊Q8—24no—
753C22⋊Q8—24no—
754C22⋊Q8—42no—
755C22⋊Q8—42no—
756#121—24no—
757#121—24no—
758#121—42no—
759#121—42no—
760#120—24no—
761#120—24no—
762#120—42no—
763#120—42no—
764#120—42no—
765#120—42no—
766#120—42no—
767#120—42no—
768C4×D4—22no—
769C4×D4—22no—
770C4×D4—22no—
771C4×D4—22no—
772C4×D4—22no—
773C4×D4—22no—
774C4×D4—22no—
775C4×D4—22no—
776C4×D4—22no—
777C4×D4—22no—
778C4×D4—22no—
779C4×D4—22no—
780C4×D4—22no—
781C4×D4—22no—
782C4×D4—22no—
783C4×D4—22no—
784C4×D4—41no—
785C4×D4—41no—
786C4×D4—41no—
787C4×D4—41no—
788C4×D4—41no—
789C4×D4—41no—
790C4×D4—41no—
791C4×D4—41no—
792C4×D4—42no—
793C4×D4—42no—
794C4×D4—42no—
795C4×D4—42no—
796#117—22no—
797#117—22no—
798#117—41no—
799#117—41no—
800C2×C4⋊C4—42no—
801C2×C4⋊C4C22×C411yescharacteristic
802C2×C4⋊C4C22×C411yescharacteristic
803C2×C4⋊C4C22×C411yescharacteristic
804C2×C4⋊C4C22×C411yescharacteristic
805C2×C4⋊C4C22×C411yescharacteristic
806C2×C4⋊C4C22×C411yescharacteristic
807C2×C4⋊C4C22×C411yescharacteristic
808C2×C4⋊C4C22×C411yescharacteristic
809C2×C4⋊C4C22×C411yescharacteristic
810C2×C4⋊C4C22×C411yescharacteristic
811C2×C4⋊C4C22×C411yescharacteristic
812C2×C4⋊C4C22×C411yescharacteristic
813C2×C4⋊C4C22×C411yescharacteristic
814C2×C4⋊C4C22×C411yescharacteristic
815C2×C4⋊C4C22×C411yescharacteristic
816C2×C4⋊C4C22×C411yescharacteristic
817C2×C22⋊C4—42no—
818C2×C22⋊C4—42no—
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×C22⋊C4C22×C411yescharacteristic
840C2×C22⋊C4C22×C411yescharacteristic
841C2×C22⋊C4C22×C411yescharacteristic
842C2×C22⋊C4C22×C411yescharacteristic
843C2×C22⋊C4C22×C411yescharacteristic
844C2×C22⋊C4C22×C411yescharacteristic
845C2×C22⋊C4C22×C411yescharacteristic
846C2×C22⋊C4C22×C411yescharacteristic
847C2×C22⋊C4C22×C411yescharacteristic
848C2×C22⋊C4C22×C411yescharacteristic
849C2×C22⋊C4C22×C411yescharacteristic
850C2×C22⋊C4C22×C411yescharacteristic
851C2×C22⋊C4C22×C411yescharacteristic
852C2×C22⋊C4C22×C411yescharacteristic
853C2×C22⋊C4C22×C411yescharacteristic
854C2×C22⋊C4C22×C411yescharacteristic
855C2×C22⋊C4C22×C411yescharacteristic
856C2×C22⋊C4C22×C411yescharacteristic
857C2×C22⋊C4C22×C411yescharacteristic
858C2×C22⋊C4C22×C411yescharacteristic
859C2×C22⋊C4C22×C411yescharacteristic
860C2×C22⋊C4C22×C411yescharacteristic
861C2×C22⋊C4C22×C411yescharacteristic
862C2×C22⋊C4C22×C411yescharacteristic
863C2×C22⋊C4C22×C411yescharacteristic
864C2×C22⋊C4C22×C411yescharacteristic
865C2×C22⋊C4C22×C411yescharacteristic
866C2×C22⋊C4C22×C411yescharacteristic
867C2×C22⋊C4C22×C411yescharacteristic
868C2×C22⋊C4C22×C411yescharacteristic
869C2×C22⋊C4C22×C411yescharacteristic
870C2×C22⋊C4C22×C411yescharacteristic
871C2×C42—41no—
872C2×C42—41no—
873C2×C42C22×C411yescharacteristic
874C2×C42C22×C411yescharacteristic
875C2×C42C2411yescharacteristic
876C2×C42C2411yescharacteristic
877C2×C42C2411yescharacteristic
878C2×C42C2411yescharacteristic
879C2×C42C2411yescharacteristic
880C2×C42C2411yescharacteristic
881C4⋊C8—22no—
882C4⋊C8—22no—
883C4⋊C8—22no—
884C4⋊C8—22no—
885C4⋊C8—41no—
886C4⋊C8—41no—
887C4⋊C8—41no—
888C4⋊C8—41no—
889C4⋊C8—41no—
890C4⋊C8—41no—
891C4⋊C8—41no—
892C4⋊C8—41no—
893C22⋊C8—22no—
894C22⋊C8—22no—
895C22⋊C8—22no—
896C22⋊C8—22no—
897C22⋊C8—22no—
898C22⋊C8—22no—
899C22⋊C8—22no—
900C22⋊C8—22no—
901C22⋊C8—22no—
902C22⋊C8—22no—
903C22⋊C8—22no—
904C22⋊C8—22no—
905C22⋊C8—22no—
906C22⋊C8—22no—
907C22⋊C8—22no—
908C22⋊C8—22no—
909C22⋊C8—22no—
910C22⋊C8—22no—
911C22⋊C8—22no—
912C22⋊C8—22no—
913C22⋊C8—22no—
914C22⋊C8—22no—
915C22⋊C8—22no—
916C22⋊C8—22no—
917C22⋊C8—22no—
918C22⋊C8—22no—
919C22⋊C8—22no—
920C22⋊C8—22no—
921C22⋊C8—22no—
922C22⋊C8—22no—
923C22⋊C8—22no—
924C22⋊C8—22no—
925C22⋊C8—41no—
926C22⋊C8—41no—
927C22⋊C8—41no—
928C22⋊C8—41no—
929C22⋊C8—41no—
930C22⋊C8—41no—
931C22⋊C8—41no—
932C22⋊C8—41no—
933C22⋊C8—41no—
934C22⋊C8—41no—
935C22⋊C8—41no—
936C22⋊C8—41no—
937C22⋊C8—41no—
938C22⋊C8—41no—
939C22⋊C8—41no—
940C22⋊C8—41no—
941C22⋊C8C2×D414yes—
942C22⋊C8C2×D414yes—
943C22⋊C8C2×D414yescomplemented
944C22⋊C8C2×D414yescomplemented
945#97—22no—
946#97—22no—
947#97—41no—
948#97—41no—
949#97—41no—
950#97—41no—
951C4×C8—22no—
952C4×C8—22no—
953C4×C8—41no—
954C4×C8—41no—
955C4×C8—41no—
956C4×C8—41no—
957#95C22×C411yescharacteristic
958#95C22×C411yescharacteristic
959#95C22×C411yescharacteristic
960#95C22×C411yescharacteristic
961#95C22×C411yescharacteristic
962#95C22×C411yescharacteristic
963#95C22×C411yescharacteristic
964#95C22×C411yescharacteristic
965#95C22×C411yescharacteristic
966#95C22×C411yescharacteristic
967#95C22×C411yescharacteristic
968#95C22×C411yescharacteristic
969#95C22×C411yescharacteristic
970#95C22×C411yescharacteristic
971#95C22×C411yescharacteristic
972#95C22×C411yescharacteristic
973#95C22×C411yescharacteristic
974#95C22×C411yescharacteristic
975#95C22×C411yescharacteristic
976#95C22×C411yescharacteristic
977#95C22×C411yescharacteristic
978#95C22×C411yescharacteristic
979#95C22×C411yescharacteristic
980#95C22×C411yescharacteristic
981C24—22no—
982C24—22no—
983C24—22no—
984C24—22no—
985C24—22no—
986C24—22no—
987C24—22no—
988C24—22no—
989C24—22no—
990C24—41no—
991C24—41no—
992C24—41no—
993C24—41no—
994C24—41no—
995C24—41no—
996C24—41no—
997C24—41no—
998C24—41no—
999C24—41no—
1000C24—41no—
1001C24—41no—
1002C24—41no—
1003C24—41no—
1004C24—41no—
1005C24—41no—
1006C24—41no—
1007C24—41no—
1008C24—41no—
1009C24C23×C411yescharacteristic
1010C24C23×C411yescharacteristic
1011C24C23×C411yescharacteristic
1012C24C23×C411yescharacteristic
1013C24C23×C411yescharacteristic
1014C24C23×C411yescharacteristic
1015C24C23×C411yescharacteristic
1016C24C23×C411yescharacteristic
1017C24C23×C411yescharacteristic
1018#41—44no—
1019#41—44no—
1020#41—44no—
1021#41—44no—
1022#41—44no—
1023#41—44no—
1024#41—44no—
1025#41—44no—
1026#41—44no—
1027#41—44no—
1028#41—44no—
1029#41—44no—
1030#41—416no—
1031#41—416no—
1032#41—416no—
1033#41—416no—
1034#41—44no—
1035#41—44no—
1036#41—44no—
1037#41—44no—
1038C2×Q8—22no—
1039C2×Q8—22no—
1040C2×Q8—22no—
1041C2×Q8—22no—
1042C2×Q8—22no—
1043C2×Q8—41no—
1044C2×Q8—41no—
1045C2×Q8—41no—
1046C2×Q8—41no—
1047C2×Q8—41no—
1048C2×Q8—41no—
1049C2×Q8—416no—
1050C2×Q8C4×D414yes—
1051C2×D4—22no—
1052C2×D4—22no—
1053C2×D4—22no—
1054C2×D4—22no—
1055C2×D4—22no—
1056C2×D4—22no—
1057C2×D4—22no—
1058C2×D4—22no—
1059C2×D4—22no—
1060C2×D4—22no—
1061C2×D4—22no—
1062C2×D4—22no—
1063C2×D4—22no—
1064C2×D4—22no—
1065C2×D4—22no—
1066C2×D4—22no—
1067C2×D4—22no—
1068C2×D4—22no—
1069C2×D4—22no—
1070C2×D4—22no—
1071C2×D4—22no—
1072C2×D4—22no—
1073C2×D4—22no—
1074C2×D4—22no—
1075C2×D4—22no—
1076C2×D4—22no—
1077C2×D4—22no—
1078C2×D4—22no—
1079C2×D4—22no—
1080C2×D4—22no—
1081C2×D4—22no—
1082C2×D4—41no—
1083C2×D4—41no—
1084C2×D4—41no—
1085C2×D4—41no—
1086C2×D4—41no—
1087C2×D4—41no—
1088C2×D4—41no—
1089C2×D4—41no—
1090C2×D4—41no—
1091C2×D4—41no—
1092C2×D4—41no—
1093C2×D4—41no—
1094C2×D4—41no—
1095C2×D4—41no—
1096C2×D4—41no—
1097C2×D4—41no—
1098C2×D4—41no—
1099C2×D4—41no—
1100C2×D4—41no—
1101C2×D4—41no—
1102C2×D4—41no—
1103C2×D4—41no—
1104C2×D4—41no—
1105C2×D4—41no—
1106C2×D4—41no—
1107C2×D4—41no—
1108C2×D4—41no—
1109C2×D4—416no—
1110C2×D4—41no—
1111C2×D4—41no—
1112C2×D4—41no—
1113C2×D4—41no—
1114C2×D4—41no—
1115C2×D4—41no—
1116C2×D4—41no—
1117C2×D4—41no—
1118C2×D4—41no—
1119C2×D4—41no—
1120C2×D4—41no—
1121C2×D4—416no—
1122C2×D4—416no—
1123C2×D4—416no—
1124C2×D4C4×D414yes—
1125C2×D4C4×D414yes—
1126C2×D4C4×D414yes—
1127C22×C4—28no—
1128C22×C4—28no—
1129C22×C4—28no—
1130C22×C4—28no—
1131C22×C4—22no—
1132C22×C4—22no—
1133C22×C4—22no—
1134C22×C4—22no—
1135C22×C4—22no—
1136C22×C4—22no—
1137C22×C4—22no—
1138C22×C4—22no—
1139C22×C4—22no—
1140C22×C4—21no—
1141C22×C4—21no—
1142C22×C4—21no—
1143C22×C4—21no—
1144C22×C4—21no—
1145C22×C4—21no—
1146C22×C4—21no—
1147C22×C4—21no—
1148C22×C4—21no—
1149C22×C4—21no—
1150C22×C4—21no—
1151C22×C4—21no—
1152C22×C4—21no—
1153C22×C4—21no—
1154C22×C4—21no—
1155C22×C4—21no—
1156C22×C4—21no—
1157C22×C4—21no—
1158C22×C4—21no—
1159C22×C4—21no—
1160C22×C4—22no—
1161C22×C4—22no—
1162C22×C4—22no—
1163C22×C4—22no—
1164C22×C4—22no—
1165C22×C4—22no—
1166C22×C4—22no—
1167C22×C4—22no—
1168C22×C4—22no—
1169C22×C4—22no—
1170C22×C4—22no—
1171C22×C4—22no—
1172C22×C4—22no—
1173C22×C4—22no—
1174C22×C4—21no—
1175C22×C4—21no—
1176C22×C4—21no—
1177C22×C4—21no—
1178C22×C4—21no—
1179C22×C4—21no—
1180C22×C4—21no—
1181C22×C4—21no—
1182C22×C4—21no—
1183C22×C4—21no—
1184C22×C4—21no—
1185C22×C4—21no—
1186C22×C4—21no—
1187C22×C4—21no—
1188C22×C4—21no—
1189C22×C4—21no—
1190C22×C4—21no—
1191C22×C4—21no—
1192C22×C4—21no—
1193C22×C4—21no—
1194C22×C4—21no—
1195C22×C4—21no—
1196C22×C4—21no—
1197C22×C4—21no—
1198C22×C4—22no—
1199C22×C4—22no—
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—44no—
1209C22×C4—44no—
1210C22×C4—44no—
1211C22×C4—44no—
1212C22×C4—44no—
1213C22×C4—44no—
1214C22×C4—44no—
1215C22×C4—44no—
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—82no—
1226C22×C4—82no—
1227C22×C4—82no—
1228C22×C4—82no—
1229C22×C4C23×C411yescharacteristic
1230C22×C4C23×C411yescharacteristic
1231C22×C4C23×C411yescharacteristic
1232C22×C4C23×C411yescharacteristic
1233C22×C4C23×C411yescharacteristic
1234C22×C4C23×C411yescharacteristic
1235C22×C4C23×C411yescharacteristic
1236C22×C4C23×C411yescharacteristic
1237C22×C4C23×C411yescharacteristic
1238C22×C4C23×C411yescharacteristic
1239C22×C4C23×C411yescharacteristic
1240C22×C4C23×C411yescharacteristic
1241C22×C4C23×C411yescharacteristic
1242C22×C4C23×C411yescharacteristic
1243C22×C4C23×C411yescharacteristic
1244C22×C4C23×C411yescharacteristic
1245C22×C4C23×C411yescharacteristic
1246C22×C4C23×C411yescharacteristic
1247C22×C4C23×C411yescharacteristic
1248C22×C4C23×C411yescharacteristic
1249C22×C4C23×C411yescharacteristic
1250C22×C4C22×D412yes—
1251C22×C4C22×D412yes—
1252C22×C4C22×D412yes—
1253C22×C4C2×#4112yes—
1254C22×C4C2×#4112yes—
1255C22×C4C2×#4112yes—
1256C22×C4H(5,𝔽2)12yes—
1257C22×C4H(5,𝔽2)12yes—
1258C22×C4H(5,𝔽2)12yes—
1259C22×C4H(5,𝔽2)12yes—
1260C22×C4C2511yescharacteristic
1261M16—44no—
1262M16—44no—
1263M16—44no—
1264M16—44no—
1265M16—44no—
1266M16—44no—
1267M16—44no—
1268M16—44no—
1269M16—82no—
1270M16—82no—
1271M16—82no—
1272M16—82no—
1273C2×C8—21no—
1274C2×C8—21no—
1275C2×C8—21no—
1276C2×C8—21no—
1277C2×C8—21no—
1278C2×C8—21no—
1279C2×C8—21no—
1280C2×C8—21no—
1281C2×C8—21no—
1282C2×C8—21no—
1283C2×C8—21no—
1284C2×C8—21no—
1285C2×C8—21no—
1286C2×C8—21no—
1287C2×C8—21no—
1288C2×C8—21no—
1289C2×C8—21no—
1290C2×C8—21no—
1291C2×C8—21no—
1292C2×C8—21no—
1293C2×C8—21no—
1294C2×C8—21no—
1295C2×C8—21no—
1296C2×C8—21no—
1297C2×C8—21no—
1298C2×C8—21no—
1299C2×C8—21no—
1300C2×C8—21no—
1301C2×C8—21no—
1302C2×C8—21no—
1303C2×C8—21no—
1304C2×C8—21no—
1305C2×C8—21no—
1306C2×C8—21no—
1307C2×C8—21no—
1308C2×C8—21no—
1309C2×C8—21no—
1310C2×C8—21no—
1311C2×C8—21no—
1312C2×C8—21no—
1313C2×C8—21no—
1314C2×C8—21no—
1315C2×C8—21no—
1316C2×C8—21no—
1317C2×C8—44no—
1318C2×C8—44no—
1319C2×C8—44no—
1320C2×C8—44no—
1321C2×C8—82no—
1322C2×C8—82no—
1323C2×C8—82no—
1324C2×C8—82no—
1325C2×C8C22×D412yes—
1326C2×C8C22×D412yes—
1327C2×C8C22×D412yes—
1328C2×C8C22×D412yes—
1329C4⋊C4—22no—
1330C4⋊C4—22no—
1331C4⋊C4—22no—
1332C4⋊C4—22no—
1333C4⋊C4—22no—
1334C4⋊C4—22no—
1335C4⋊C4—22no—
1336C4⋊C4—22no—
1337C4⋊C4—22no—
1338C4⋊C4—22no—
1339C4⋊C4—41no—
1340C4⋊C4—41no—
1341C4⋊C4—41no—
1342C4⋊C4—41no—
1343C4⋊C4—41no—
1344C4⋊C4—41no—
1345C22⋊C4—22no—
1346C22⋊C4—22no—
1347C22⋊C4—22no—
1348C22⋊C4—22no—
1349C22⋊C4—22no—
1350C22⋊C4—22no—
1351C22⋊C4—22no—
1352C22⋊C4—22no—
1353C22⋊C4—22no—
1354C22⋊C4—22no—
1355C22⋊C4—22no—
1356C22⋊C4—22no—
1357C22⋊C4—22no—
1358C22⋊C4—22no—
1359C22⋊C4—22no—
1360C22⋊C4—22no—
1361C22⋊C4—22no—
1362C22⋊C4—22no—
1363C22⋊C4—22no—
1364C22⋊C4—22no—
1365C22⋊C4—22no—
1366C22⋊C4—22no—
1367C22⋊C4—41no—
1368C22⋊C4—41no—
1369C22⋊C4—41no—
1370C22⋊C4—41no—
1371C22⋊C4—41no—
1372C22⋊C4—41no—
1373C22⋊C4—41no—
1374C22⋊C4—41no—
1375C22⋊C4—41no—
1376C22⋊C4—41no—
1377C22⋊C4—41no—
1378C22⋊C4—41no—
1379C22⋊C4—41no—
1380C22⋊C4—41no—
1381C22⋊C4—41no—
1382C22⋊C4—41no—
1383C22⋊C4—41no—
1384C22⋊C4—41no—
1385C22⋊C4—41no—
1386C22⋊C4—41no—
1387C22⋊C4—41no—
1388C22⋊C4—41no—
1389C22⋊C4—41no—
1390C22⋊C4—41no—
1391C22⋊C4—41no—
1392C22⋊C4—41no—
1393C22⋊C4—41no—
1394C22⋊C4—41no—
1395C22⋊C4—41no—
1396C22⋊C4—41no—
1397C42—21no—
1398C42—21no—
1399C42—21no—
1400C42—21no—
1401C42—21no—
1402C42—21no—
1403C42—21no—
1404C42—21no—
1405C42—21no—
1406C42—21no—
1407C42—21no—
1408C42—21no—
1409C42—41no—
1410C42—41no—
1411C23—28no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—44no—
1470C23—44no—
1471C23—44no—
1472C23—44no—
1473C23—44no—
1474C23—44no—
1475C23—82no—
1476C23—82no—
1477C23—82no—
1478C23—82no—
1479C23—82no—
1480C23—82no—
1481C23—82no—
1482C23—82no—
1483C23—82no—
1484C23—82no—
1485C23—82no—
1486C23—82no—
1487C23—82no—
1488C23—82no—
1489C23—82no—
1490C23—82no—
1491C23—82no—
1492C23—82no—
1493C23—82no—
1494C23—82no—
1495C23—82no—
1496C23C2×C4×D412yes—
1497C23C2×C4×D412yes—
1498C23C2×C4×D412yes—
1499C23#51812yes—
1500C23#51812yes—
1501C23#56812yes—
1502C23C24×C411yescharacteristic
1503Q8—44no—
1504Q8—44no—
1505Q8—44no—
1506Q8—44no—
1507D4—44no—
1508D4—44no—
1509D4—44no—
1510D4—44no—
1511D4—44no—
1512D4—44no—
1513D4—44no—
1514D4—44no—
1515D4—44no—
1516D4—44no—
1517D4—44no—
1518D4—44no—
1519D4—44no—
1520D4—44no—
1521D4—44no—
1522D4—44no—
1523D4—44no—
1524D4—44no—
1525D4—44no—
1526D4—82no—
1527D4—82no—
1528D4—82no—
1529D4—82no—
1530D4—82no—
1531C2×C4—28no—
1532C2×C4—28no—
1533C2×C4—28no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—44no—
1612C2×C4—44no—
1613C2×C4—44no—
1614C2×C4—44no—
1615C2×C4—44no—
1616C2×C4—44no—
1617C2×C4—44no—
1618C2×C4—41no—
1619C2×C4—41no—
1620C2×C4—41no—
1621C2×C4—41no—
1622C2×C4—41no—
1623C2×C4—41no—
1624C2×C4—41no—
1625C2×C4—41no—
1626C2×C4—41no—
1627C2×C4—41no—
1628C2×C4—41no—
1629C2×C4—41no—
1630C2×C4—41no—
1631C2×C4—41no—
1632C2×C4—41no—
1633C2×C4—41no—
1634C2×C4—82no—
1635C2×C4—82no—
1636C2×C4—82no—
1637C2×C4—82no—
1638C2×C4C2×C4×D412yes—
1639C2×C4C2×C4×D412yes—
1640C2×C4C2×C4×D412yes—
1641C2×C4#51812yes—
1642C2×C4#51812yes—
1643C2×C4#56812yes—
1644C2×C4C23×D411yescharacteristic
1645C2×C4C22×#4111yescharacteristic
1646C2×C4C2×H(5,𝔽2)11yescharacteristic
1647C2×C4C2×H(5,𝔽2)11yescharacteristic
1648C2×C4C2×H(5,𝔽2)11yescharacteristic
1649C2×C4C2×H(5,𝔽2)11yescharacteristic
1650C8—22no—
1651C8—22no—
1652C8—22no—
1653C8—22no—
1654C8—41no—
1655C8—41no—
1656C8—41no—
1657C8—41no—
1658C8—41no—
1659C8—41no—
1660C8—41no—
1661C8—41no—
1662C8—41no—
1663C8—41no—
1664C8—41no—
1665C8—41no—
1666C22—22no—
1667C22—22no—
1668C22—22no—
1669C22—22no—
1670C22—22no—
1671C22—22no—
1672C22—22no—
1673C22—22no—
1674C22—22no—
1675C22—22no—
1676C22—22no—
1677C22—22no—
1678C22—22no—
1679C22—22no—
1680C22—22no—
1681C22—22no—
1682C22—22no—
1683C22—22no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—88no—
1730C22—88no—
1731C22—88no—
1732C22—88no—
1733C22C22×C4×D411yescharacteristic
1734C22C2×#51811yescharacteristic
1735C22C2×#51811yescharacteristic
1736C22C2×#56811yescharacteristic
1737C22C2×#56811yescharacteristic
1738C22#357311yescharacteristic
1739C22#357311yescharacteristic
1740C4—22no—
1741C4—22no—
1742C4—22no—
1743C4—22no—
1744C4—22no—
1745C4—22no—
1746C4—41no—
1747C4—41no—
1748C4—41no—
1749C4—41no—
1750C4—41no—
1751C4—41no—
1752C4—41no—
1753C4—41no—
1754C4—41no—
1755C4—41no—
1756C4—41no—
1757C4—41no—
1758C4—41no—
1759C4—41no—
1760C4—41no—
1761C4#348411yescharacteristic
1762C4#348411yescharacteristic
1763C4#349011yescharacteristic
1764C4#349011yescharacteristic
1765C2—42no—
1766C2—42no—
1767C2—42no—
1768C2—42no—
1769C2—42no—
1770C2—42no—
1771C2—81no—
1772C2—81no—
1773C2—81no—
1774C2#3419811yescharacteristic
1775C2#6014611yescharacteristic
1776C2#6014711yescharacteristic
1777C2#6023111yescharacteristic
1778C2#6023511yescharacteristic
1779C2#6024011yescharacteristic
1780C2#6024111yescharacteristic
subgroupG/H
center, Frattini, cosocleC22×C4C25
commutator, socleC23C24×C4
prime radical#34736C2
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×#2976C2semidirect
2. C2×#2879C2semidirect
4. #22852C2semidirect
5. #22850C2semidirect
6. #22849C2semidirect
7. #22849C2semidirect
8. #22848C2semidirect
9. #22847C2semidirect
10. #22847C2semidirect
11. #22846C2semidirect
12. #22561C2semidirect
13. #22560C2semidirect
14. #22559C2semidirect
15. #22559C2semidirect
16. #22401C2semidirect
17. #22400C2semidirect
18. #22399C2semidirect
19. #22398C2semidirect
20. #22039C2semidirect
21. #22037C2semidirect
22. #22035C2semidirect
23. #22029C2semidirect
24. #21936C2semidirect
25. #21744C2semidirect
26. #21441C2semidirect
27. #21441C2semidirect
28. #21439C2semidirect
29. #21439C2semidirect
30. #20581C2semidirect
31. #20531C2semidirect
33. C23×M16C22semidirect
34. C23×M16C22semidirect
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
54. C2×C8×D4C22semidirect
55. C2×#433C22semidirect
56. C2×#433C22semidirect
64. C2×#408C22semidirect
65. C2×#408C22semidirect
66. C2×#408C22semidirect
67. C2×#408C22semidirect
68. C2×#408C22semidirect
69. C2×#408C22semidirect
72. C2×#407C22semidirect
73. C2×#407C22semidirect
74. C2×#407C22semidirect
75. C2×#407C22semidirect
76. C22×C22⋊C8C22semidirect
77. C22×C22⋊C8C22semidirect
105. #1955C22semidirect
106. #1955C22semidirect
107. #1955C22semidirect
108. #1955C22semidirect
109. #1954C22semidirect
110. #1954C22semidirect
111. #1954C22semidirect
112. #1954C22semidirect
113. #1924C22semidirect
114. #1924C22semidirect
115. #1924C22semidirect
116. #1924C22semidirect
117. #1924C22semidirect
118. #1924C22semidirect
119. #1924C22semidirect
120. #1924C22semidirect
121. #1923C22semidirect
122. #1923C22semidirect
123. #1923C22semidirect
124. #1923C22semidirect
125. #1923C22semidirect
126. #1923C22semidirect
127. #1923C22semidirect
128. #1923C22semidirect
133. #1870C22semidirect
134. #1870C22semidirect
135. #1870C22semidirect
136. #1870C22semidirect
137. #1870C22semidirect
138. #1870C22semidirect
139. #1870C22semidirect
140. #1870C22semidirect
141. #1870C22semidirect
142. #1870C22semidirect
143. #1869C22semidirect
144. #1869C22semidirect
145. #1869C22semidirect
146. #1869C22semidirect
147. #1869C22semidirect
148. #1869C22semidirect
149. #1869C22semidirect
150. #1869C22semidirect
151. #1869C22semidirect
152. #1869C22semidirect
153. #1851C22semidirect
154. #1851C22semidirect
155. #1851C22semidirect
156. #1851C22semidirect
157. #1851C22semidirect
158. #1851C22semidirect
159. #1851C22semidirect
160. #1851C22semidirect
161. #1851C22semidirect
162. #1851C22semidirect
163. #1850C22semidirect
164. #1850C22semidirect
165. #1850C22semidirect
166. #1850C22semidirect
167. #1850C22semidirect
168. #1850C22semidirect
169. #1818C22semidirect
170. #1818C22semidirect
171. #1798C22semidirect
172. #1798C22semidirect
173. #1797C22semidirect
174. #1797C22semidirect
177. #1780C22semidirect
178. #1780C22semidirect
181. #1779C22semidirect
182. #1779C22semidirect
183. #1779C22semidirect
184. #1779C22semidirect
185. #1753C22semidirect
186. #1753C22semidirect
187. #1753C22semidirect
188. #1753C22semidirect
189. #1753C22semidirect
190. #1753C22semidirect
191. #1753C22semidirect
192. #1753C22semidirect
193. #1753C22semidirect
194. #1753C22semidirect
195. #1752C22semidirect
196. #1752C22semidirect
197. #1752C22semidirect
198. C8×C22⋊C4C22semidirect
199. C8×C22⋊C4C22semidirect
200. C8×C22⋊C4C22semidirect
201. #1750C22semidirect
202. #1750C22semidirect
203. #1749C22semidirect
204. C4×C22⋊C8C22semidirect
343. #408D4semidirect
707. C2×M16C2×D4semidirect
731. C22×C8C2×D4semidirect
943. C22⋊C8C2×D4semidirect
944. C22⋊C8C2×D4semidirect

Maximal subgroups

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

subgroupindex
C2×#29762
C2×#28792
#347362
#228522
#228502
#228492
#228482
#228472
#228462
#225612
#225602
#225592
#224012
#224002
#223992
#223982
#220392
#220372
#220352
#220292
#219362
#217442
#214412
#214392
#205812
#205312