Finite Group Databasebeta

← #6384019

Subgroups — #6384019

Order 512.

2881 conjugacy classes of subgroups.

The subgroup lattice has 1702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D4×M16C211yesmaximal, characteristic, complemented
2C2×#2930C211yesmaximal, characteristic, complemented
3C2×#2929C211yesmaximal, characteristic, complemented
4C22×#435C211yesmaximal, characteristic, complemented
5#34655C211yesmaximal, characteristic
6#23178C211yesmaximal, characteristic, complemented
7#22994C211yesmaximal, characteristic, complemented
8#22993C211yesmaximal, characteristic, complemented
9#22989C211yesmaximal, characteristic, complemented
10#22988C211yesmaximal, characteristic, complemented
11#22850C211yesmaximal, characteristic, complemented
12#22848C211yesmaximal, characteristic, complemented
13#22848C211yesmaximal, characteristic, complemented
14#22845C211yesmaximal, characteristic, complemented
15#22649C211yesmaximal, characteristic, complemented
16#22647C211yesmaximal, characteristic, complemented
17#22401C211yesmaximal, characteristic, complemented
18#22400C211yesmaximal, characteristic, complemented
19#22399C211yesmaximal, characteristic, complemented
20#22398C211yesmaximal, characteristic, complemented
21#21685C211yesmaximal, characteristic, complemented
22#21495C211yesmaximal, characteristic, complemented
23#21493C211yesmaximal, characteristic, complemented
24#21489C211yesmaximal, characteristic, complemented
25#21486C211yesmaximal, characteristic, complemented
26#21444C211yesmaximal, characteristic, complemented
27#21440C211yesmaximal, characteristic, complemented
28#21439C211yesmaximal, characteristic, complemented
29#21439C211yesmaximal, characteristic, complemented
30#20493C211yesmaximal, characteristic, complemented
31#20487C211yesmaximal, characteristic, complemented
32C22×#131C2211yescharacteristic, complemented
33C23×M16C2211yescharacteristic
34C23×M16C2211yescharacteristic, complemented
35C24×C8C2211yescharacteristic, complemented
36C2×#525C2211yescharacteristic
37C2×#525C2211yescharacteristic
38C22×C4×D4C2211yescharacteristic
39C22×C4×D4C2211yescharacteristic
40D4×M16—28no—
41#2930—28no—
42#2929—28no—
43C2×#436C2211yescharacteristic
44C2×#436C2211yescharacteristic
45C2×#436C2211yescharacteristic, complemented
46C2×#436C2211yescharacteristic, complemented
47C2×#436C2211yescharacteristic, complemented
48C2×#436C2211yescharacteristic, complemented
49C2×#436C2211yescharacteristic, complemented
50C2×#435—28no—
51C2×#435C2211yescharacteristic
52C2×#435C2211yescharacteristic
53C2×#435C2211yescharacteristic
54C2×#435C2211yescharacteristic
55C2×#435C2211yescharacteristic
56C2×#435C2211yescharacteristic
57C2×#435C2211yescharacteristic
58C2×#435C2211yescharacteristic
59C2×#435C2211yescharacteristic, complemented
60C2×#435C2211yescharacteristic, complemented
61C2×#435C2211yescharacteristic, complemented
62C2×#435C2211yescharacteristic, complemented
63C2×#435C2211yescharacteristic, complemented
64C2×#435C2211yescharacteristic, complemented
65C2×#435C2211yescharacteristic, complemented
66C2×#435C2211yescharacteristic, complemented
67C2×#435C2211yescharacteristic, complemented
68C2×#435C2211yescharacteristic, complemented
69C2×#435C2211yescharacteristic, complemented
70C2×#435C2211yescharacteristic, complemented
71C2×#435C2211yescharacteristic, complemented
72C2×#435C2211yescharacteristic, complemented
73C2×C8×D4C2211yescharacteristic
74C2×C8×D4C2211yescharacteristic
75C2×C8×D4C2211yescharacteristic, complemented
76C2×C8×D4C2211yescharacteristic, complemented
77C2×C8×D4C2211yescharacteristic, complemented
78C2×#424C2211yescharacteristic, complemented
79C2×#424C2211yescharacteristic, complemented
80C2×#423C2211yescharacteristic, complemented
81C22×C4⋊C8C2211yescharacteristic, complemented
82C2×#408C2211yescharacteristic, complemented
83C2×#408C2211yescharacteristic, complemented
84C2×#407C2211yescharacteristic
85C2×#407C2211yescharacteristic, complemented
86C2×#407C2211yescharacteristic, complemented
87C2×#407C2211yescharacteristic, complemented
88C22×C22⋊C8C2211yescharacteristic
89C22×C22⋊C8C2211yescharacteristic, complemented
90C2×#405C2211yescharacteristic, complemented
91C2×#405C2211yescharacteristic, complemented
92C2×C4×M16C2211yescharacteristic, complemented
93C22×#97C2211yescharacteristic, complemented
94#2463C411yescharacteristic
95#2456C411yescharacteristic
96#2456C411yescharacteristic
97#2455C411yescharacteristic
98#2449C411yescharacteristic
99#2449C411yescharacteristic
100#2443C411yescharacteristic
101#2443C411yescharacteristic
102#2437C411yescharacteristic
103#2424C411yescharacteristic
104#2424C411yescharacteristic
105#2418C411yescharacteristic
106#2418C411yescharacteristic
107#2410C411yescharacteristic
108#2410C411yescharacteristic
109#2403C411yescharacteristic
110#2397C2211yescharacteristic
111#2392C2211yescharacteristic
112#2392C2211yescharacteristic
113#2388C2211yescharacteristic
114C4×#121C2211yescharacteristic
115C4×#121C2211yescharacteristic
116C4×#120C2211yescharacteristic
117C4×#120C2211yescharacteristic
118C4×#120C2211yescharacteristic
119#2290C2211yescharacteristic
120#2290C2211yescharacteristic
121#1955C2211yescharacteristic, complemented
122#1955C2211yescharacteristic, complemented
123#1955C2211yescharacteristic, complemented
124#1955C2211yescharacteristic, complemented
125#1954C2211yescharacteristic, complemented
126#1954C2211yescharacteristic, complemented
127#1954C2211yescharacteristic, complemented
128#1954C2211yescharacteristic, complemented
129#1954C2211yescharacteristic, complemented
130#1954C2211yescharacteristic, complemented
131#1940C2211yescharacteristic, complemented
132#1940C2211yescharacteristic, complemented
133#1939C2211yescharacteristic, complemented
134#1939C2211yescharacteristic, complemented
135#1924C2211yescharacteristic, complemented
136#1924C2211yescharacteristic, complemented
137#1924C2211yescharacteristic, complemented
138#1924C2211yescharacteristic, complemented
139#1924C2211yescharacteristic, complemented
140#1924C2211yescharacteristic, complemented
141#1923C2211yescharacteristic, complemented
142#1923C2211yescharacteristic, complemented
143#1870C2211yescharacteristic
144#1870C2211yescharacteristic
145#1870C2211yescharacteristic, complemented
146#1870C2211yescharacteristic, complemented
147#1870C2211yescharacteristic, complemented
148#1870C2211yescharacteristic, complemented
149#1870C2211yescharacteristic, complemented
150#1870C2211yescharacteristic, complemented
151#1870C2211yescharacteristic, complemented
152#1870C2211yescharacteristic, complemented
153#1870C2211yescharacteristic, complemented
154#1870C2211yescharacteristic, complemented
155#1870C2211yescharacteristic, complemented
156#1869C2211yescharacteristic
157#1869C2211yescharacteristic
158#1869C2211yescharacteristic, complemented
159#1869C2211yescharacteristic, complemented
160#1869C2211yescharacteristic, complemented
161#1869C2211yescharacteristic, complemented
162#1869C2211yescharacteristic, complemented
163#1851C2211yescharacteristic, complemented
164#1851C2211yescharacteristic, complemented
165#1851C2211yescharacteristic, complemented
166#1851C2211yescharacteristic, complemented
167#1851C2211yescharacteristic, complemented
168#1851C2211yescharacteristic, complemented
169#1851C2211yescharacteristic, complemented
170#1850C2211yescharacteristic, complemented
171#1850C2211yescharacteristic, complemented
172#1850C2211yescharacteristic, complemented
173#1850C2211yescharacteristic, complemented
174#1850C2211yescharacteristic, complemented
175#1843C2211yescharacteristic, complemented
176#1798C2211yescharacteristic, complemented
177#1798C2211yescharacteristic, complemented
178#1797C2211yescharacteristic, complemented
179#1797C2211yescharacteristic, complemented
180#1780C2211yescharacteristic, complemented
181#1779C2211yescharacteristic
182#1779C2211yescharacteristic, complemented
183#1779C2211yescharacteristic, complemented
184#1771C2211yescharacteristic, complemented
185#1771C2211yescharacteristic, complemented
186#1770C2211yescharacteristic, complemented
187#1770C2211yescharacteristic, complemented
188#1768C2211yescharacteristic, complemented
189#1768C2211yescharacteristic, complemented
190#1753C2211yescharacteristic, complemented
191#1753C2211yescharacteristic, complemented
192#1753C2211yescharacteristic, complemented
193#1753C2211yescharacteristic, complemented
194#1753C2211yescharacteristic, complemented
195#1753C2211yescharacteristic, complemented
196#1752C2211yescharacteristic, complemented
197#1752C2211yescharacteristic, complemented
198#1752C2211yescharacteristic, complemented
199#1752C2211yescharacteristic, complemented
200#1752C2211yescharacteristic, complemented
201C8×C22⋊C4C2211yescharacteristic, complemented
202#1750C2211yescharacteristic, complemented
203#1750C2211yescharacteristic, complemented
204#1749C2211yescharacteristic, complemented
205C4×C22⋊C8C2211yescharacteristic, complemented
206#1726C2211yescharacteristic, complemented
207C22×#41C2311yescharacteristic
208C23×D4C2×C411yescharacteristic
209C23×D4C2×C411yescharacteristic
210C24×C4C2311yescharacteristic
211C24×C4C2311yescharacteristic
212C24×C4C2311yescharacteristic
213C2×#131—24no—
214C2×#131—24no—
215C2×#131—42no—
216C22×M16—24no—
217C22×M16—24no—
218C22×M16—24no—
219C22×M16—24no—
220C22×M16—42no—
221C22×M16—42no—
222C22×M16C2311yescharacteristic
223C22×M16C2311yescharacteristic
224C22×M16C2311yescharacteristic
225C22×M16C2311yescharacteristic
226C22×M16C2311yescharacteristic
227C22×M16C2311yescharacteristic
228C22×M16C2311yescharacteristic
229C22×M16C2311yescharacteristic
230C22×M16C2311yescharacteristic
231C22×M16C2311yescharacteristic
232C22×M16C2311yescharacteristic
233C22×M16C2311yescharacteristic
234C22×M16C2311yescharacteristic
235C23×C8—24no—
236C23×C8—24no—
237C23×C8—42no—
238C23×C8C2311yescharacteristic
239C23×C8C2311yescharacteristic
240C23×C8C2311yescharacteristic
241C23×C8C2311yescharacteristic
242C23×C8C2311yescharacteristic
243C23×C8C2311yescharacteristic
244C23×C8C2311yescharacteristic
245C23×C8C2311yescharacteristic
246C23×C8C2311yescharacteristic
247C23×C8C2311yescharacteristic
248C23×C8C2311yescharacteristic
249#525—24no—
250#525—24no—
251#525—24no—
252#525—24no—
253C2×#123C2×C411yescharacteristic
254C2×#123C2×C411yescharacteristic
255C2×#123C2×C411yescharacteristic
256C2×#123C2×C411yescharacteristic
257C2×C22⋊Q8C2×C411yescharacteristic
258C2×C22⋊Q8C2×C411yescharacteristic
259C2×C22⋊Q8C2×C411yescharacteristic
260C2×C22⋊Q8C2×C411yescharacteristic
261C2×#121C2×C411yescharacteristic
262C2×#121C2×C411yescharacteristic
263C2×#121C2×C411yescharacteristic
264C2×#121C2×C411yescharacteristic
265C2×#121C2×C411yescharacteristic
266C2×#121C2×C411yescharacteristic
267C2×#120C2×C411yescharacteristic
268C2×#120C2×C411yescharacteristic
269C2×#120C2×C411yescharacteristic
270C2×#120C2×C411yescharacteristic
271C2×#120C2×C411yescharacteristic
272C2×#120C2×C411yescharacteristic
273C2×#120C2×C411yescharacteristic
274C2×C4×D4—24no—
275C2×C4×D4—24no—
276C2×C4×D4—24no—
277C2×C4×D4—24no—
278C2×C4×D4C2×C411yescharacteristic
279C2×C4×D4C2×C411yescharacteristic
280C2×C4×D4C2×C411yescharacteristic
281C2×C4×D4C2×C411yescharacteristic
282C2×C4×D4C2×C411yescharacteristic
283C2×C4×D4C2×C411yescharacteristic
284C2×C4×D4C2×C411yescharacteristic
285C2×C4×D4C2×C411yescharacteristic
286C2×C4×D4C2311yescharacteristic
287C2×C4×D4C2311yescharacteristic
288C2×C4×D4C2311yescharacteristic
289C2×C4×D4C2311yescharacteristic
290C2×C4×D4C2311yescharacteristic
291C2×C4×D4C2311yescharacteristic
292C2×C4×D4C2311yescharacteristic
293C2×C4×D4C2311yescharacteristic
294C2×C4×D4C2311yescharacteristic
295C2×C4×D4C2311yescharacteristic
296C2×C4×D4C2311yescharacteristic
297C2×C4×D4C2311yescharacteristic
298C2×C4×D4C2311yescharacteristic
299C2×C4×D4C2311yescharacteristic
300C2×C4×D4C2311yescharacteristic
301C2×C4×D4C2311yescharacteristic
302C2×#117C2311yescharacteristic
303C2×#117C2311yescharacteristic
304C22×C4⋊C4C2×C411yescharacteristic
305C22×C4⋊C4C2×C411yescharacteristic
306C22×C22⋊C4C2×C411yescharacteristic
307C22×C22⋊C4C2×C411yescharacteristic
308C22×C22⋊C4C2×C411yescharacteristic
309C22×C22⋊C4C2×C411yescharacteristic
310C22×C42C2311yescharacteristic
311C22×C42C2311yescharacteristic
312#436—24no—
313#436—24no—
314#436—24no—
315#436—24no—
316#436—24no—
317#436—24no—
318#436—24no—
319#435—24no—
320#435—24no—
321#435—24no—
322#435—24no—
323#435—24no—
324#435—24no—
325#435—24no—
326#435—24no—
327#435—24no—
328#435—24no—
329#435—24no—
330#435—24no—
331#435—24no—
332#435—24no—
333#435—24no—
334#435—24no—
335#435—24no—
336#435—24no—
337#435—24no—
338#435—42no—
339#435—42no—
340#435D418yescomplemented
341C8×D4—24no—
342C8×D4—24no—
343C8×D4—24no—
344C8×D4—24no—
345C8×D4D418yescomplemented
346#424—24no—
347#424—24no—
348#423—24no—
349C2×C4⋊C8—24no—
350C2×C4⋊C8C2311yescharacteristic
351C2×C4⋊C8C2311yescharacteristic
352C2×C4⋊C8C2311yescharacteristic
353C2×C4⋊C8C2311yescharacteristic
354C2×C4⋊C8C2311yescharacteristic
355C2×C4⋊C8C2311yescharacteristic
356C2×C4⋊C8C2311yescharacteristic
357C2×C4⋊C8C2311yescharacteristic
358C2×C4⋊C8C2311yescharacteristic
359C2×C4⋊C8C2311yescharacteristic
360C2×C4⋊C8C2311yescharacteristic
361C2×C4⋊C8C2311yescharacteristic
362C2×C4⋊C8C2311yescharacteristic
363C2×C4⋊C8C2311yescharacteristic
364C2×C4⋊C8C2311yescharacteristic
365C2×C4⋊C8C2311yescharacteristic
366C2×C4⋊C8C2311yescharacteristic
367C2×C4⋊C8C2311yescharacteristic
368#408—24no—
369#408—24no—
370#407—24no—
371#407—24no—
372#407—24no—
373#407—24no—
374C2×C22⋊C8—24no—
375C2×C22⋊C8—24no—
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×C22⋊C8C2311yescharacteristic
405C2×C22⋊C8C2311yescharacteristic
406C2×C22⋊C8C2311yescharacteristic
407C2×C22⋊C8C2311yescharacteristic
408C2×C22⋊C8C2311yescharacteristic
409C2×C22⋊C8C2311yescharacteristic
410C2×C22⋊C8C2311yescharacteristic
411C2×C22⋊C8C2311yescharacteristic
412C2×C22⋊C8C2311yescharacteristic
413C2×C22⋊C8C2311yescharacteristic
414C2×C22⋊C8C2311yescharacteristic
415C2×C22⋊C8C2311yescharacteristic
416#405—24no—
417#405—24no—
418C4×M16—24no—
419C2×#97—24no—
420C2×#97C2311yescharacteristic
421C2×#97C2311yescharacteristic
422C2×#97C2311yescharacteristic
423C2×#97C2311yescharacteristic
424C2×#97C2311yescharacteristic
425C2×#97C2311yescharacteristic
426C2×#97C2311yescharacteristic
427C2×#97C2311yescharacteristic
428C2×#97C2311yescharacteristic
429C2×#97C2311yescharacteristic
430C2×#97C2311yescharacteristic
431C2×C4×C8C2311yescharacteristic
432C2×C4×C8C2311yescharacteristic
433C2×C4×C8C2311yescharacteristic
434C2×C4×C8C2311yescharacteristic
435C2×C4×C8C2311yescharacteristic
436C2×C4×C8C2311yescharacteristic
437C2×C4×C8C2311yescharacteristic
438#399C2×C411yescharacteristic
439#399C2×C411yescharacteristic
440#399C2×C411yescharacteristic
441#399C2×C411yescharacteristic
442#398C2×C411yescharacteristic
443#398C2×C411yescharacteristic
444#397C2×C411yescharacteristic
445#397C2×C411yescharacteristic
446#396C2×C411yescharacteristic
447#396C2×C411yescharacteristic
448#396C2×C411yescharacteristic
449#396C2×C411yescharacteristic
450#395C2×C411yescharacteristic
451#394C2×C411yescharacteristic
452#394C2×C411yescharacteristic
453#394C2×C411yescharacteristic
454#394C2×C411yescharacteristic
455#394C2×C411yescharacteristic
456#394C2×C411yescharacteristic
457#394C2×C411yescharacteristic
458#394C2×C411yescharacteristic
459#394C2×C411yescharacteristic
460#393C2×C411yescharacteristic
461#392C2×C411yescharacteristic
462#392C2×C411yescharacteristic
463#392C2×C411yescharacteristic
464#392C2×C411yescharacteristic
465#392C2×C411yescharacteristic
466#392C2×C411yescharacteristic
467#392C2×C411yescharacteristic
468#392C2×C411yescharacteristic
469#392C2×C411yescharacteristic
470#390C2×C411yescharacteristic
471#390C2×C411yescharacteristic
472#389C2×C411yescharacteristic
473#389C2×C411yescharacteristic
474#388C2×C411yescharacteristic
475#388C2×C411yescharacteristic
476#388C2×C411yescharacteristic
477#388C2×C411yescharacteristic
478#388C2×C411yescharacteristic
479#388C2×C411yescharacteristic
480#388C2×C411yescharacteristic
481#388C2×C411yescharacteristic
482#387C2×C411yescharacteristic
483#387C2×C411yescharacteristic
484#387C2×C411yescharacteristic
485#387C2×C411yescharacteristic
486#386C2×C411yescharacteristic
487#386C2×C411yescharacteristic
488#386C2×C411yescharacteristic
489#386C2×C411yescharacteristic
490#386C2×C411yescharacteristic
491#386C2×C411yescharacteristic
492#386C2×C411yescharacteristic
493#386C2×C411yescharacteristic
494#386C2×C411yescharacteristic
495#386C2×C411yescharacteristic
496#386C2×C411yescharacteristic
497#386C2×C411yescharacteristic
498#386C2×C411yescharacteristic
499#386C2×C411yescharacteristic
500#386C2×C411yescharacteristic
501#386C2×C411yescharacteristic
502#386C2×C411yescharacteristic
503#385C2×C411yescharacteristic
504#385C2×C411yescharacteristic
505#385C2×C411yescharacteristic
506#385C2×C411yescharacteristic
507#385C2×C411yescharacteristic
508#385C2×C411yescharacteristic
509#385C2×C411yescharacteristic
510#385C2×C411yescharacteristic
511#385C2×C411yescharacteristic
512#385C2×C411yescharacteristic
513#385C2×C411yescharacteristic
514#385C2×C411yescharacteristic
515#385C2×C411yescharacteristic
516#380C2×C411yescharacteristic
517#380C2×C411yescharacteristic
518#379C2×C411yescharacteristic
519#379C2×C411yescharacteristic
520#379C2×C411yescharacteristic
521C4×C4⋊C4C2311yescharacteristic
522C4×C4⋊C4C2311yescharacteristic
523C4×C22⋊C4C2311yescharacteristic
524C4×C22⋊C4C2311yescharacteristic
525C4×C22⋊C4C2311yescharacteristic
526C4×C22⋊C4C2311yescharacteristic
527C4×C22⋊C4C2311yescharacteristic
528C4×C22⋊C4C2311yescharacteristic
529C4×C22⋊C4C2311yescharacteristic
530C4×C22⋊C4C2311yescharacteristic
531#376C2311yescharacteristic
532#336C2311yescharacteristic
533#336C2311yescharacteristic
534#336C2311yescharacteristic
535#336C2311yescharacteristic
536#336C2311yescharacteristic
537#336C2311yescharacteristic
538#336C2311yescharacteristic
539#336C2311yescharacteristic
540#336C2311yescharacteristic
541#336C2311yescharacteristic
542#336C2311yescharacteristic
543#336C2311yescharacteristic
544#336C2311yescharacteristic
545#336C2311yescharacteristic
546#336C2311yescharacteristic
547#336C2311yescharacteristic
548#336C2311yescharacteristic
549#336C2311yescharacteristic
550#336C2311yescharacteristic
551#336C2311yescharacteristic
552C25C22×C411yescharacteristic
553C25C22×C411yescharacteristic
554C25C22×C411yescharacteristic
555C2×#41—22no—
556C2×#41—22no—
557C2×#41—22no—
558C2×#41—22no—
559C2×#41—41no—
560C2×#41—41no—
561C22×Q8C22×C411yescharacteristic
562C22×D4—24no—
563C22×D4—24no—
564C22×D4—42no—
565C22×D4—42no—
566C22×D4—42no—
567C22×D4—42no—
568C22×D4C22×C411yescharacteristic
569C22×D4C22×C411yescharacteristic
570C22×D4C22×C411yescharacteristic
571C22×D4C22×C411yescharacteristic
572C22×D4C22×C411yescharacteristic
573C22×D4C22×C411yescharacteristic
574C22×D4C22×C411yescharacteristic
575C22×D4C22×C411yescharacteristic
576C22×D4C22×C411yescharacteristic
577C22×D4C22×C411yescharacteristic
578C22×D4C22×C411yescharacteristic
579C22×D4C22×C411yescharacteristic
580C22×D4C22×C411yescharacteristic
581C22×D4C22×C411yescharacteristic
582C22×D4C22×C411yescharacteristic
583C22×D4C22×C411yescharacteristic
584C22×D4C22×C411yescharacteristic
585C22×D4C22×C411yescharacteristic
586C22×D4C22×C411yescharacteristic
587C23×C4—22no—
588C23×C4—22no—
589C23×C4—22no—
590C23×C4—22no—
591C23×C4—22no—
592C23×C4—22no—
593C23×C4—22no—
594C23×C4—22no—
595C23×C4—22no—
596C23×C4—22no—
597C23×C4—22no—
598C23×C4—22no—
599C23×C4—41no—
600C23×C4—41no—
601C23×C4—41no—
602C23×C4—41no—
603C23×C4—41no—
604C23×C4—41no—
605C23×C4C22×C411yescharacteristic
606C23×C4C22×C411yescharacteristic
607C23×C4C22×C411yescharacteristic
608C23×C4C22×C411yescharacteristic
609C23×C4C22×C411yescharacteristic
610C23×C4C22×C411yescharacteristic
611C23×C4C22×C411yescharacteristic
612C23×C4C22×C411yescharacteristic
613C23×C4C22×C411yescharacteristic
614C23×C4C22×C411yescharacteristic
615C23×C4C22×C411yescharacteristic
616C23×C4C22×C411yescharacteristic
617C23×C4C22×C411yescharacteristic
618C23×C4C2411yescharacteristic
619C23×C4C2411yescharacteristic
620C23×C4C2411yescharacteristic
621C23×C4C2411yescharacteristic
622C23×C4C2411yescharacteristic
623C23×C4C2411yescharacteristic
624C23×C4C2411yescharacteristic
625C23×C4C2411yescharacteristic
626#131—416no—
627C2×M16—22no—
628C2×M16—22no—
629C2×M16—22no—
630C2×M16—22no—
631C2×M16—22no—
632C2×M16—22no—
633C2×M16—22no—
634C2×M16—22no—
635C2×M16—22no—
636C2×M16—22no—
637C2×M16—22no—
638C2×M16—22no—
639C2×M16—22no—
640C2×M16—22no—
641C2×M16—22no—
642C2×M16—22no—
643C2×M16—22no—
644C2×M16—22no—
645C2×M16—22no—
646C2×M16—22no—
647C2×M16—22no—
648C2×M16—22no—
649C2×M16—22no—
650C2×M16—22no—
651C2×M16—22no—
652C2×M16—22no—
653C2×M16—22no—
654C2×M16—22no—
655C2×M16—41no—
656C2×M16—41no—
657C2×M16—41no—
658C2×M16—41no—
659C2×M16—41no—
660C2×M16—41no—
661C2×M16—41no—
662C2×M16—41no—
663C2×M16—41no—
664C2×M16—41no—
665C2×M16—416no—
666C2×M16—416no—
667C2×M16C2×D414yes—
668C22×C8—22no—
669C22×C8—22no—
670C22×C8—22no—
671C22×C8—22no—
672C22×C8—22no—
673C22×C8—22no—
674C22×C8—22no—
675C22×C8—22no—
676C22×C8—22no—
677C22×C8—22no—
678C22×C8—22no—
679C22×C8—22no—
680C22×C8—22no—
681C22×C8—22no—
682C22×C8—22no—
683C22×C8—22no—
684C22×C8—22no—
685C22×C8—22no—
686C22×C8—22no—
687C22×C8—22no—
688C22×C8—22no—
689C22×C8—22no—
690C22×C8—22no—
691C22×C8—22no—
692C22×C8—41no—
693C22×C8—41no—
694C22×C8—41no—
695C22×C8—41no—
696C22×C8—41no—
697C22×C8—41no—
698C22×C8—416no—
699C22×C8C2×D414yes—
700C22×C8C2×D414yescomplemented
701C22×C8C2×D414yescomplemented
702C22×C8C2411yescharacteristic
703C22×C8C2411yescharacteristic
704C22×C8C2411yescharacteristic
705C22×C8C2411yescharacteristic
706C22×C8C2411yescharacteristic
707C22×C8C2411yescharacteristic
708C22×C8C2411yescharacteristic
709C22×C8C2411yescharacteristic
710C22×C8C2411yescharacteristic
711C22×C8C2411yescharacteristic
712C22×C8C2411yescharacteristic
713C22×C8C2411yescharacteristic
714C22×C8C2411yescharacteristic
715C22×C8C2411yescharacteristic
716C22×C8C2411yescharacteristic
717C22×C8C2411yescharacteristic
718#123—24no—
719#123—24no—
720#123—24no—
721#123—24no—
722C22⋊Q8—24no—
723C22⋊Q8—24no—
724C22⋊Q8—24no—
725C22⋊Q8—24no—
726#121—24no—
727#121—24no—
728#121—24no—
729#121—24no—
730#121—42no—
731#121—42no—
732#120—24no—
733#120—24no—
734#120—24no—
735#120—24no—
736#120—42no—
737#120—42no—
738#120—42no—
739C4×D4—24no—
740C4×D4—24no—
741C4×D4—22no—
742C4×D4—22no—
743C4×D4—22no—
744C4×D4—22no—
745C4×D4—22no—
746C4×D4—22no—
747C4×D4—22no—
748C4×D4—22no—
749C4×D4—22no—
750C4×D4—22no—
751C4×D4—22no—
752C4×D4—22no—
753C4×D4—22no—
754C4×D4—22no—
755C4×D4—22no—
756C4×D4—22no—
757C4×D4—24no—
758C4×D4—24no—
759C4×D4—24no—
760C4×D4—24no—
761C4×D4—24no—
762C4×D4—24no—
763C4×D4—22no—
764C4×D4—22no—
765C4×D4—22no—
766C4×D4—22no—
767C4×D4—22no—
768C4×D4—22no—
769C4×D4—22no—
770C4×D4—22no—
771C4×D4—41no—
772C4×D4—41no—
773C4×D4—41no—
774C4×D4—41no—
775C4×D4C2×D414yes—
776C4×D4C2×D414yes—
777C4×D4#4114yes—
778C4×D4#4114yes—
779#117—22no—
780#117—22no—
781#117—22no—
782#117—22no—
783C2×C4⋊C4—24no—
784C2×C4⋊C4—24no—
785C2×C4⋊C4C22×C411yescharacteristic
786C2×C4⋊C4C22×C411yescharacteristic
787C2×C4⋊C4C22×C411yescharacteristic
788C2×C4⋊C4C22×C411yescharacteristic
789C2×C4⋊C4C22×C411yescharacteristic
790C2×C4⋊C4C22×C411yescharacteristic
791C2×C4⋊C4C22×C411yescharacteristic
792C2×C4⋊C4C22×C411yescharacteristic
793C2×C4⋊C4C22×C411yescharacteristic
794C2×C4⋊C4C22×C411yescharacteristic
795C2×C4⋊C4C22×C411yescharacteristic
796C2×C4⋊C4C22×C411yescharacteristic
797C2×C4⋊C4C22×C411yescharacteristic
798C2×C4⋊C4C22×C411yescharacteristic
799C2×C4⋊C4C22×C411yescharacteristic
800C2×C4⋊C4C22×C411yescharacteristic
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×C22⋊C4—24no—
810C2×C22⋊C4—24no—
811C2×C22⋊C4—24no—
812C2×C22⋊C4—24no—
813C2×C22⋊C4C22×C411yescharacteristic
814C2×C22⋊C4C22×C411yescharacteristic
815C2×C22⋊C4C22×C411yescharacteristic
816C2×C22⋊C4C22×C411yescharacteristic
817C2×C22⋊C4C22×C411yescharacteristic
818C2×C22⋊C4C22×C411yescharacteristic
819C2×C22⋊C4C22×C411yescharacteristic
820C2×C22⋊C4C22×C411yescharacteristic
821C2×C22⋊C4C22×C411yescharacteristic
822C2×C22⋊C4C22×C411yescharacteristic
823C2×C22⋊C4C22×C411yescharacteristic
824C2×C22⋊C4C22×C411yescharacteristic
825C2×C22⋊C4C22×C411yescharacteristic
826C2×C22⋊C4C22×C411yescharacteristic
827C2×C22⋊C4C22×C411yescharacteristic
828C2×C22⋊C4C22×C411yescharacteristic
829C2×C22⋊C4C22×C411yescharacteristic
830C2×C22⋊C4C22×C411yescharacteristic
831C2×C22⋊C4C22×C411yescharacteristic
832C2×C22⋊C4C22×C411yescharacteristic
833C2×C22⋊C4C22×C411yescharacteristic
834C2×C22⋊C4C22×C411yescharacteristic
835C2×C22⋊C4C22×C411yescharacteristic
836C2×C22⋊C4C22×C411yescharacteristic
837C2×C22⋊C4C22×C411yescharacteristic
838C2×C22⋊C4C22×C411yescharacteristic
839C2×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×C42—22no—
866C2×C42—22no—
867C2×C42—22no—
868C2×C42—22no—
869C2×C42C22×C411yescharacteristic
870C2×C42C22×C411yescharacteristic
871C2×C42C22×C411yescharacteristic
872C2×C42C22×C411yescharacteristic
873C2×C42C2411yescharacteristic
874C2×C42C2411yescharacteristic
875C2×C42C2411yescharacteristic
876C2×C42C2411yescharacteristic
877C2×C42C2411yescharacteristic
878C2×C42C2411yescharacteristic
879C2×C42C2411yescharacteristic
880C4⋊C8—22no—
881C4⋊C8—22no—
882C4⋊C8—22no—
883C4⋊C8—22no—
884C4⋊C8—22no—
885C4⋊C8—22no—
886C4⋊C8—22no—
887C4⋊C8—22no—
888C4⋊C8—22no—
889C4⋊C8—22no—
890C4⋊C8—22no—
891C4⋊C8—22no—
892C4⋊C8—22no—
893C4⋊C8—22no—
894C4⋊C8—41no—
895C4⋊C8—41no—
896C4⋊C8C2×D414yescomplemented
897C4⋊C8C2×D414yescomplemented
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—22no—
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⋊C8C2×D414yes—
935C22⋊C8C2×D414yes—
936C22⋊C8C2×D414yescomplemented
937C22⋊C8C2×D414yescomplemented
938#97—22no—
939#97—22no—
940#97—22no—
941#97—22no—
942#97—22no—
943#97—22no—
944#97—22no—
945#97—22no—
946#97—22no—
947#97—22no—
948#97C2×D414yescomplemented
949C4×C8—22no—
950C4×C8—22no—
951C4×C8—22no—
952C4×C8—22no—
953C4×C8—22no—
954C4×C8—41no—
955C4×C8C2×D414yescomplemented
956#95C22×C411yescharacteristic
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
980C24—22no—
981C24—22no—
982C24—22no—
983C24—22no—
984C24—22no—
985C24—22no—
986C24—22no—
987C24—22no—
988C24—22no—
989C24—22no—
990C24—22no—
991C24—41no—
992C24—41no—
993C24—41no—
994C24—41no—
995C24—41no—
996C24—41no—
997C24—41no—
998C24—41no—
999C24—41no—
1000C24—41no—
1001C24C23×C411yescharacteristic
1002C24C23×C411yescharacteristic
1003C24C23×C411yescharacteristic
1004C24C23×C411yescharacteristic
1005C24C23×C411yescharacteristic
1006C24C23×C411yescharacteristic
1007C24C23×C411yescharacteristic
1008C24C23×C411yescharacteristic
1009#41—44no—
1010#41—44no—
1011#41—44no—
1012#41—44no—
1013C2×Q8—22no—
1014C2×Q8—22no—
1015C2×Q8—41no—
1016C2×D4—22no—
1017C2×D4—22no—
1018C2×D4—22no—
1019C2×D4—22no—
1020C2×D4—22no—
1021C2×D4—22no—
1022C2×D4—22no—
1023C2×D4—22no—
1024C2×D4—22no—
1025C2×D4—22no—
1026C2×D4—22no—
1027C2×D4—22no—
1028C2×D4—22no—
1029C2×D4—22no—
1030C2×D4—22no—
1031C2×D4—22no—
1032C2×D4—22no—
1033C2×D4—22no—
1034C2×D4—22no—
1035C2×D4—22no—
1036C2×D4—22no—
1037C2×D4—22no—
1038C2×D4—22no—
1039C2×D4—22no—
1040C2×D4—22no—
1041C2×D4—22no—
1042C2×D4—22no—
1043C2×D4—22no—
1044C2×D4—22no—
1045C2×D4—41no—
1046C2×D4—41no—
1047C2×D4—41no—
1048C2×D4—41no—
1049C2×D4—41no—
1050C2×D4—41no—
1051C2×D4—41no—
1052C2×D4—41no—
1053C2×D4—41no—
1054C2×D4—41no—
1055C2×D4—41no—
1056C2×D4—41no—
1057C2×D4—41no—
1058C2×D4—41no—
1059C2×D4—41no—
1060C2×D4—41no—
1061C2×D4—41no—
1062C2×D4—41no—
1063C2×D4—41no—
1064C2×D4—41no—
1065C2×D4—41no—
1066C2×D4—41no—
1067C2×D4—41no—
1068C2×D4—41no—
1069C2×D4—41no—
1070C2×D4—41no—
1071C2×D4—416no—
1072C2×D4—416no—
1073C2×D4C4×D414yes—
1074C2×D4C4×D414yes—
1075C22×C4—21no—
1076C22×C4—21no—
1077C22×C4—21no—
1078C22×C4—21no—
1079C22×C4—21no—
1080C22×C4—21no—
1081C22×C4—21no—
1082C22×C4—21no—
1083C22×C4—21no—
1084C22×C4—21no—
1085C22×C4—21no—
1086C22×C4—21no—
1087C22×C4—21no—
1088C22×C4—21no—
1089C22×C4—21no—
1090C22×C4—21no—
1091C22×C4—22no—
1092C22×C4—22no—
1093C22×C4—22no—
1094C22×C4—22no—
1095C22×C4—22no—
1096C22×C4—22no—
1097C22×C4—22no—
1098C22×C4—22no—
1099C22×C4—22no—
1100C22×C4—22no—
1101C22×C4—22no—
1102C22×C4—22no—
1103C22×C4—22no—
1104C22×C4—22no—
1105C22×C4—22no—
1106C22×C4—22no—
1107C22×C4—22no—
1108C22×C4—22no—
1109C22×C4—22no—
1110C22×C4—22no—
1111C22×C4—22no—
1112C22×C4—22no—
1113C22×C4—22no—
1114C22×C4—21no—
1115C22×C4—21no—
1116C22×C4—21no—
1117C22×C4—21no—
1118C22×C4—21no—
1119C22×C4—21no—
1120C22×C4—21no—
1121C22×C4—21no—
1122C22×C4—21no—
1123C22×C4—21no—
1124C22×C4—21no—
1125C22×C4—21no—
1126C22×C4—21no—
1127C22×C4—21no—
1128C22×C4—21no—
1129C22×C4—21no—
1130C22×C4—21no—
1131C22×C4—21no—
1132C22×C4—21no—
1133C22×C4—21no—
1134C22×C4—21no—
1135C22×C4—21no—
1136C22×C4—21no—
1137C22×C4—21no—
1138C22×C4—22no—
1139C22×C4—41no—
1140C22×C4—41no—
1141C22×C4—41no—
1142C22×C4—41no—
1143C22×C4—41no—
1144C22×C4—41no—
1145C22×C4—41no—
1146C22×C4—41no—
1147C22×C4—41no—
1148C22×C4—41no—
1149C22×C4—41no—
1150C22×C4—41no—
1151C22×C4—41no—
1152C22×C4—44no—
1153C22×C4—44no—
1154C22×C4—44no—
1155C22×C4—44no—
1156C22×C4—44no—
1157C22×C4—44no—
1158C22×C4—44no—
1159C22×C4—44no—
1160C22×C4—44no—
1161C22×C4—44no—
1162C22×C4—44no—
1163C22×C4—44no—
1164C22×C4—41no—
1165C22×C4—41no—
1166C22×C4C23×C411yescharacteristic
1167C22×C4C23×C411yescharacteristic
1168C22×C4C23×C411yescharacteristic
1169C22×C4C23×C411yescharacteristic
1170C22×C4C23×C411yescharacteristic
1171C22×C4C23×C411yescharacteristic
1172C22×C4C23×C411yescharacteristic
1173C22×C4C23×C411yescharacteristic
1174C22×C4C23×C411yescharacteristic
1175C22×C4C23×C411yescharacteristic
1176C22×C4C23×C411yescharacteristic
1177C22×C4C23×C411yescharacteristic
1178C22×C4C23×C411yescharacteristic
1179C22×C4C23×C411yescharacteristic
1180C22×C4C23×C411yescharacteristic
1181C22×C4C23×C411yescharacteristic
1182C22×C4C23×C411yescharacteristic
1183C22×C4C23×C411yescharacteristic
1184C22×C4C23×C411yescharacteristic
1185C22×C4C23×C411yescharacteristic
1186C22×C4C23×C411yescharacteristic
1187C22×C4C23×C411yescharacteristic
1188C22×C4C22×D412yes—
1189C22×C4C22×D412yes—
1190C22×C4C22×D412yes—
1191C22×C4C22×D412yes—
1192C22×C4C2×#4112yes—
1193C22×C4C2×#4112yes—
1194C22×C4C2×#4112yes—
1195C22×C4C2×#4112yes—
1196C22×C4C2511yescharacteristic
1197M16—28no—
1198M16—44no—
1199M16—44no—
1200M16—44no—
1201M16—44no—
1202M16—44no—
1203M16—44no—
1204M16—44no—
1205M16—44no—
1206M16—44no—
1207M16—44no—
1208M16—44no—
1209M16—44no—
1210C2×C8—21no—
1211C2×C8—21no—
1212C2×C8—21no—
1213C2×C8—21no—
1214C2×C8—21no—
1215C2×C8—21no—
1216C2×C8—21no—
1217C2×C8—21no—
1218C2×C8—21no—
1219C2×C8—21no—
1220C2×C8—21no—
1221C2×C8—21no—
1222C2×C8—28no—
1223C2×C8—28no—
1224C2×C8—28no—
1225C2×C8—21no—
1226C2×C8—21no—
1227C2×C8—21no—
1228C2×C8—21no—
1229C2×C8—21no—
1230C2×C8—21no—
1231C2×C8—21no—
1232C2×C8—21no—
1233C2×C8—21no—
1234C2×C8—21no—
1235C2×C8—21no—
1236C2×C8—21no—
1237C2×C8—21no—
1238C2×C8—21no—
1239C2×C8—21no—
1240C2×C8—21no—
1241C2×C8—21no—
1242C2×C8—21no—
1243C2×C8—21no—
1244C2×C8—21no—
1245C2×C8—21no—
1246C2×C8—21no—
1247C2×C8—21no—
1248C2×C8—21no—
1249C2×C8—21no—
1250C2×C8—21no—
1251C2×C8—21no—
1252C2×C8—44no—
1253C2×C8—44no—
1254C2×C8—44no—
1255C2×C8—44no—
1256C2×C8—44no—
1257C2×C8—44no—
1258C2×C8—44no—
1259C2×C8—44no—
1260C2×C8C22×D412yes—
1261C2×C8C22×D412yes—
1262C2×C8C22×D412yes—
1263C2×C8C22×D412yes—
1264C2×C8C22×D412yes—
1265C2×C8C22×D412yes—
1266C2×C8C22×D412yes—
1267C2×C8C22×D412yes—
1268C2×C8H(5,𝔽2)12yes—
1269C4⋊C4—22no—
1270C4⋊C4—22no—
1271C4⋊C4—22no—
1272C4⋊C4—22no—
1273C4⋊C4—22no—
1274C4⋊C4—22no—
1275C4⋊C4—22no—
1276C4⋊C4—22no—
1277C4⋊C4—22no—
1278C4⋊C4—22no—
1279C4⋊C4—22no—
1280C4⋊C4—22no—
1281C4⋊C4—22no—
1282C4⋊C4—22no—
1283C4⋊C4—22no—
1284C4⋊C4—22no—
1285C4⋊C4—41no—
1286C4⋊C4—41no—
1287C4⋊C4—41no—
1288C4⋊C4—41no—
1289C4⋊C4—41no—
1290C4⋊C4—41no—
1291C4⋊C4C4×D414yes—
1292C4⋊C4C4×D414yes—
1293C22⋊C4—22no—
1294C22⋊C4—22no—
1295C22⋊C4—22no—
1296C22⋊C4—22no—
1297C22⋊C4—22no—
1298C22⋊C4—22no—
1299C22⋊C4—22no—
1300C22⋊C4—22no—
1301C22⋊C4—22no—
1302C22⋊C4—22no—
1303C22⋊C4—22no—
1304C22⋊C4—22no—
1305C22⋊C4—22no—
1306C22⋊C4—22no—
1307C22⋊C4—22no—
1308C22⋊C4—22no—
1309C22⋊C4—22no—
1310C22⋊C4—22no—
1311C22⋊C4—22no—
1312C22⋊C4—22no—
1313C22⋊C4—22no—
1314C22⋊C4—22no—
1315C22⋊C4—22no—
1316C22⋊C4—22no—
1317C22⋊C4—22no—
1318C22⋊C4—22no—
1319C22⋊C4—22no—
1320C22⋊C4—22no—
1321C22⋊C4—22no—
1322C22⋊C4—22no—
1323C22⋊C4—22no—
1324C22⋊C4—41no—
1325C22⋊C4—41no—
1326C22⋊C4—41no—
1327C22⋊C4—41no—
1328C22⋊C4—41no—
1329C22⋊C4—41no—
1330C22⋊C4—41no—
1331C22⋊C4—41no—
1332C22⋊C4—41no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4C4×D414yes—
1342C22⋊C4C4×D414yes—
1343C22⋊C4C4×D414yes—
1344C22⋊C4C4×D414yes—
1345C42—22no—
1346C42—22no—
1347C42—22no—
1348C42—22no—
1349C42—21no—
1350C42—21no—
1351C42—21no—
1352C42—21no—
1353C42—21no—
1354C42—21no—
1355C42—21no—
1356C42—21no—
1357C42—21no—
1358C42—21no—
1359C42C22×D412yes—
1360C42C22×D412yes—
1361C42C2×#4112yes—
1362C42C2×#4112yes—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—28no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—44no—
1414C23—44no—
1415C23—44no—
1416C23—44no—
1417C23—44no—
1418C23—44no—
1419C23—44no—
1420C23—44no—
1421C23—44no—
1422C23—44no—
1423C23—44no—
1424C23—44no—
1425C23—82no—
1426C23—82no—
1427C23—82no—
1428C23—82no—
1429C23—82no—
1430C23—82no—
1431C23—82no—
1432C23—82no—
1433C23C2×C4×D412yes—
1434C23C2×C4×D412yes—
1435C23C2×C4×D412yes—
1436C23C2×C4×D412yes—
1437C23#56812yes—
1438C23#56812yes—
1439C23#56812yes—
1440C23C24×C411yescharacteristic
1441Q8—44no—
1442D4—28no—
1443D4—44no—
1444D4—44no—
1445D4—44no—
1446D4—44no—
1447D4—44no—
1448D4—44no—
1449D4—44no—
1450D4—44no—
1451D4—44no—
1452D4—44no—
1453D4—44no—
1454D4—44no—
1455D4—44no—
1456D4—82no—
1457D4—82no—
1458D4—82no—
1459D4—82no—
1460D4—82no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—44no—
1536C2×C4—44no—
1537C2×C4—44no—
1538C2×C4—44no—
1539C2×C4—44no—
1540C2×C4—44no—
1541C2×C4—44no—
1542C2×C4—44no—
1543C2×C4—44no—
1544C2×C4—44no—
1545C2×C4—44no—
1546C2×C4—44no—
1547C2×C4—41no—
1548C2×C4—41no—
1549C2×C4—41no—
1550C2×C4—41no—
1551C2×C4—41no—
1552C2×C4—41no—
1553C2×C4—41no—
1554C2×C4—41no—
1555C2×C4—41no—
1556C2×C4—41no—
1557C2×C4—41no—
1558C2×C4—41no—
1559C2×C4—41no—
1560C2×C4—41no—
1561C2×C4—41no—
1562C2×C4—41no—
1563C2×C4—82no—
1564C2×C4C2×C4×D412yes—
1565C2×C4C2×C4×D412yes—
1566C2×C4C2×C4×D412yes—
1567C2×C4C2×C4×D412yes—
1568C2×C4C2×C4×D412yes—
1569C2×C4C2×C4×D412yes—
1570C2×C4C2×C4×D412yes—
1571C2×C4C2×C4×D412yes—
1572C2×C4C23×D411yescharacteristic
1573C2×C4C23×D411yescharacteristic
1574C2×C4C22×#4111yescharacteristic
1575C2×C4C22×#4111yescharacteristic
1576C2×C4C2×H(5,𝔽2)11yescharacteristic
1577C2×C4#58511yescharacteristic
1578C8—22no—
1579C8—22no—
1580C8—22no—
1581C8—22no—
1582C8—22no—
1583C8—22no—
1584C8—41no—
1585C8—41no—
1586C8—41no—
1587C8—41no—
1588C8—41no—
1589C8—41no—
1590C8—41no—
1591C8—41no—
1592C8—41no—
1593C8D4214yes—
1594C22—22no—
1595C22—22no—
1596C22—22no—
1597C22—22no—
1598C22—22no—
1599C22—22no—
1600C22—22no—
1601C22—22no—
1602C22—22no—
1603C22—22no—
1604C22—22no—
1605C22—22no—
1606C22—22no—
1607C22—22no—
1608C22—22no—
1609C22—22no—
1610C22—22no—
1611C22—22no—
1612C22—416no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—41no—
1633C22—41no—
1634C22—41no—
1635C22—41no—
1636C22—41no—
1637C22—41no—
1638C22—41no—
1639C22—41no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—88no—
1651C22—88no—
1652C22#293014yescomplemented
1653C22C22×C4×D411yescharacteristic
1654C22C22×C4×D411yescharacteristic
1655C22C4×H(5,𝔽2)11yescharacteristic
1656C22C2×#56811yescharacteristic
1657C22C2×#56811yescharacteristic
1658C22C2×#56811yescharacteristic
1659C22#357311yescharacteristic
1660C4—22no—
1661C4—22no—
1662C4—22no—
1663C4—22no—
1664C4—22no—
1665C4—22no—
1666C4—22no—
1667C4—22no—
1668C4—41no—
1669C4—41no—
1670C4—41no—
1671C4—41no—
1672C4—41no—
1673C4—41no—
1674C4—41no—
1675C4—41no—
1676C4—41no—
1677C4—41no—
1678C4—41no—
1679C4—41no—
1680C4—41no—
1681C4—41no—
1682C4C2×D4211yescharacteristic
1683C4D4×#4111yescharacteristic
1684C4D4×#4111yescharacteristic
1685C4#348111yescharacteristic
1686C2—24no—
1687C2—42no—
1688C2—42no—
1689C2—42no—
1690C2—42no—
1691C2—81no—
1692C2—81no—
1693C2—81no—
1694C2C4×D4211yescharacteristic
1695C2C2×#293011yescharacteristic
1696C2#6014111yescharacteristic
1697C2#6014611yescharacteristic
1698C2#6014611yescharacteristic
1699C2#6031311yescharacteristic
1700C2#6031411yescharacteristic
subgroupG/H
center, Frattini, cosocleC22×C4C25
commutator, socleC23C24×C4
prime radical#34655C2
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×D4×M16C2semidirect
2. C2×#2930C2semidirect
3. C2×#2929C2semidirect
4. C22×#435C2semidirect
6. #23178C2semidirect
7. #22994C2semidirect
8. #22993C2semidirect
9. #22989C2semidirect
10. #22988C2semidirect
11. #22850C2semidirect
12. #22848C2semidirect
13. #22848C2semidirect
14. #22845C2semidirect
15. #22649C2semidirect
16. #22647C2semidirect
17. #22401C2semidirect
18. #22400C2semidirect
19. #22399C2semidirect
20. #22398C2semidirect
21. #21685C2semidirect
22. #21495C2semidirect
23. #21493C2semidirect
24. #21489C2semidirect
25. #21486C2semidirect
26. #21444C2semidirect
27. #21440C2semidirect
28. #21439C2semidirect
29. #21439C2semidirect
30. #20493C2semidirect
31. #20487C2semidirect
32. C22×#131C22semidirect
34. C23×M16C22semidirect
35. C24×C8C22semidirect
45. C2×#436C22semidirect
46. C2×#436C22semidirect
47. C2×#436C22semidirect
48. C2×#436C22semidirect
49. C2×#436C22semidirect
59. C2×#435C22semidirect
60. C2×#435C22semidirect
61. C2×#435C22semidirect
62. C2×#435C22semidirect
63. C2×#435C22semidirect
64. C2×#435C22semidirect
65. C2×#435C22semidirect
66. C2×#435C22semidirect
67. C2×#435C22semidirect
68. C2×#435C22semidirect
69. C2×#435C22semidirect
70. C2×#435C22semidirect
71. C2×#435C22semidirect
72. C2×#435C22semidirect
75. C2×C8×D4C22semidirect
76. C2×C8×D4C22semidirect
77. C2×C8×D4C22semidirect
78. C2×#424C22semidirect
79. C2×#424C22semidirect
80. C2×#423C22semidirect
81. C22×C4⋊C8C22semidirect
82. C2×#408C22semidirect
83. C2×#408C22semidirect
85. C2×#407C22semidirect
86. C2×#407C22semidirect
87. C2×#407C22semidirect
89. C22×C22⋊C8C22semidirect
90. C2×#405C22semidirect
91. C2×#405C22semidirect
92. C2×C4×M16C22semidirect
93. C22×#97C22semidirect
121. #1955C22semidirect
122. #1955C22semidirect
123. #1955C22semidirect
124. #1955C22semidirect
125. #1954C22semidirect
126. #1954C22semidirect
127. #1954C22semidirect
128. #1954C22semidirect
129. #1954C22semidirect
130. #1954C22semidirect
131. #1940C22semidirect
132. #1940C22semidirect
133. #1939C22semidirect
134. #1939C22semidirect
135. #1924C22semidirect
136. #1924C22semidirect
137. #1924C22semidirect
138. #1924C22semidirect
139. #1924C22semidirect
140. #1924C22semidirect
141. #1923C22semidirect
142. #1923C22semidirect
145. #1870C22semidirect
146. #1870C22semidirect
147. #1870C22semidirect
148. #1870C22semidirect
149. #1870C22semidirect
150. #1870C22semidirect
151. #1870C22semidirect
152. #1870C22semidirect
153. #1870C22semidirect
154. #1870C22semidirect
155. #1870C22semidirect
158. #1869C22semidirect
159. #1869C22semidirect
160. #1869C22semidirect
161. #1869C22semidirect
162. #1869C22semidirect
163. #1851C22semidirect
164. #1851C22semidirect
165. #1851C22semidirect
166. #1851C22semidirect
167. #1851C22semidirect
168. #1851C22semidirect
169. #1851C22semidirect
170. #1850C22semidirect
171. #1850C22semidirect
172. #1850C22semidirect
173. #1850C22semidirect
174. #1850C22semidirect
175. #1843C22semidirect
176. #1798C22semidirect
177. #1798C22semidirect
178. #1797C22semidirect
179. #1797C22semidirect
180. #1780C22semidirect
182. #1779C22semidirect
183. #1779C22semidirect
184. #1771C22semidirect
185. #1771C22semidirect
186. #1770C22semidirect
187. #1770C22semidirect
188. #1768C22semidirect
189. #1768C22semidirect
190. #1753C22semidirect
191. #1753C22semidirect
192. #1753C22semidirect
193. #1753C22semidirect
194. #1753C22semidirect
195. #1753C22semidirect
196. #1752C22semidirect
197. #1752C22semidirect
198. #1752C22semidirect
199. #1752C22semidirect
200. #1752C22semidirect
201. C8×C22⋊C4C22semidirect
202. #1750C22semidirect
203. #1750C22semidirect
204. #1749C22semidirect
205. C4×C22⋊C8C22semidirect
206. #1726C22semidirect
340. #435D4semidirect
345. C8×D4D4semidirect
700. C22×C8C2×D4semidirect
701. C22×C8C2×D4semidirect
896. C4⋊C8C2×D4semidirect
897. C4⋊C8C2×D4semidirect
936. C22⋊C8C2×D4semidirect
937. C22⋊C8C2×D4semidirect
948. #97C2×D4semidirect
955. C4×C8C2×D4semidirect
1652. C22#2930semidirect

Maximal subgroups

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

subgroupindex
C2×D4×M162
C2×#29302
C2×#29292
C22×#4352
#346552
#231782
#229942
#229932
#229892
#229882
#228502
#228482
#228452
#226492
#226472
#224012
#224002
#223992
#223982
#216852
#214952
#214932
#214892
#214862
#214442
#214402
#214392
#204932
#204872