Finite Group Databasebeta

← #533395

Subgroups — #533395

Order 512.

4350 conjugacy classes of subgroups.

The subgroup lattice has 1971 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2424C211yesmaximal, characteristic
2C2×#2363C211yesmaximal, characteristic, complemented
3C2×#2358C211yesmaximal, characteristic, complemented
4C2×#2342C211yesmaximal, characteristic, complemented
5C2×#2293C211yesmaximal, characteristic, complemented
6#14540C211yesmaximal, characteristic, complemented
7#14534C211yesmaximal, characteristic, complemented
8#14408C211yesmaximal, characteristic, complemented
9#14358C211yesmaximal, characteristic, complemented
10#14205C211yesmaximal, characteristic, complemented
11#14204C211yesmaximal, characteristic, complemented
12#14204C211yesmaximal, characteristic, complemented
13#14201C211yesmaximal, characteristic, complemented
14#14189C211yesmaximal, characteristic, complemented
15#14185C211yesmaximal, characteristic, complemented
16#14112C211yesmaximal, characteristic, complemented
17#14100C211yesmaximal, characteristic, complemented
18#14100C211yesmaximal, characteristic, complemented
19#14064C211yesmaximal, characteristic, complemented
20#14064C211yesmaximal, characteristic, complemented
21#14036C211yesmaximal, characteristic, complemented
22#14007C211yesmaximal, characteristic, complemented
23#13998C211yesmaximal, characteristic, complemented
24#13995C211yesmaximal, characteristic, complemented
25#13995C211yesmaximal, characteristic, complemented
26#13886C211yesmaximal, characteristic, complemented
27#13824C211yesmaximal, characteristic, complemented
28#13823C211yesmaximal, characteristic, complemented
29C22⋊C42C211yesmaximal, characteristic, complemented
30C4×#390C211yesmaximal, characteristic, complemented
31C4×#388C211yesmaximal, characteristic, complemented
32C22×#121C2211yescharacteristic
33C22×#121C2211yescharacteristic
34C22×#120C2211yescharacteristic
35C22×#120C2211yescharacteristic
36C22×C4×D4C2211yescharacteristic
37C22×C4×D4C2211yescharacteristic
38C22×C4×D4C2211yescharacteristic
39C22×#117C2211yescharacteristic
40C22×#117C2211yescharacteristic, complemented
41C23×C22⋊C4C2211yescharacteristic
42C23×C22⋊C4C2211yescharacteristic
43C23×C22⋊C4C2211yescharacteristic
44#2424C4116yescomplemented
45C2×#396C2211yescharacteristic
46C2×#394C2211yescharacteristic
47C2×#394C2211yescharacteristic
48C2×#392C2211yescharacteristic
49#2363—28no—
50#2358—28no—
51#2342—28no—
52#2293—28no—
53C2×#390C2211yescharacteristic
54C2×#390C2211yescharacteristic
55C2×#390C2211yescharacteristic
56C2×#390C2211yescharacteristic
57C2×#390C2211yescharacteristic
58C2×#390C2211yescharacteristic
59C2×#390C2211yescharacteristic
60C2×#390C2211yescharacteristic
61C2×#390C2211yescharacteristic, complemented
62C2×#390C2211yescharacteristic, complemented
63C2×#389C2211yescharacteristic, complemented
64C2×#389C2211yescharacteristic, complemented
65C2×#389C2211yescharacteristic, complemented
66C2×#389C2211yescharacteristic, complemented
67C2×#388C2211yescharacteristic
68C2×#388C2211yescharacteristic
69C2×#388C2211yescharacteristic
70C2×#388C2211yescharacteristic
71C2×#388C2211yescharacteristic
72C2×#388C2211yescharacteristic
73C2×#388C2211yescharacteristic
74C2×#388C2211yescharacteristic
75C2×#388C2211yescharacteristic
76C2×#388C2211yescharacteristic, complemented
77C2×#388C2211yescharacteristic, complemented
78C2×#388C2211yescharacteristic, complemented
79C2×#388C2211yescharacteristic, complemented
80C2×#386C2211yescharacteristic
81C2×#386C2211yescharacteristic
82C2×#386C2211yescharacteristic
83C2×#386C2211yescharacteristic
84C2×#386C2211yescharacteristic
85C2×#386C2211yescharacteristic
86C2×#386C2211yescharacteristic
87C2×#386C2211yescharacteristic
88C2×#386C2211yescharacteristic
89C2×#386C2211yescharacteristic, complemented
90C2×#385C2211yescharacteristic
91C2×#385C2211yescharacteristic
92C2×#385C2211yescharacteristic
93C2×#385C2211yescharacteristic
94C2×#385C2211yescharacteristic
95C2×#385C2211yescharacteristic
96C2×#385C2211yescharacteristic
97C2×#385C2211yescharacteristic, complemented
98C2×#381C2211yescharacteristic
99C2×#380C2211yescharacteristic
100C2×#379C2211yescharacteristic
101C2×#379C2211yescharacteristic
102C2×C4×C4⋊C4C2211yescharacteristic, complemented
103C2×C4×C4⋊C4C2211yescharacteristic, complemented
104C2×C4×C4⋊C4C2211yescharacteristic, complemented
105C2×C4×C4⋊C4C2211yescharacteristic, complemented
106C2×C4×C22⋊C4C2211yescharacteristic
107C2×C4×C22⋊C4C2211yescharacteristic
108C2×C4×C22⋊C4C2211yescharacteristic
109C2×C4×C22⋊C4C2211yescharacteristic
110C2×C4×C22⋊C4C2211yescharacteristic
111C2×C4×C22⋊C4C2211yescharacteristic
112C2×C4×C22⋊C4C2211yescharacteristic
113C2×C4×C22⋊C4C2211yescharacteristic
114C2×C4×C22⋊C4C2211yescharacteristic
115C2×C4×C22⋊C4C2211yescharacteristic
116C2×C4×C22⋊C4C2211yescharacteristic
117C2×C4×C22⋊C4C2211yescharacteristic, complemented
118C2×C4×C22⋊C4C2211yescharacteristic, complemented
119C2×C4×C22⋊C4C2211yescharacteristic, complemented
120C2×C4×C22⋊C4C2211yescharacteristic, complemented
121C2×C43C2211yescharacteristic, complemented
122#1444C2211yescharacteristic, complemented
123#1442C2211yescharacteristic, complemented
124#1442C2211yescharacteristic, complemented
125#1442C2211yescharacteristic, complemented
126#1441C2211yescharacteristic, complemented
127#1441C2211yescharacteristic, complemented
128#1441C2211yescharacteristic, complemented
129#1440C2211yescharacteristic, complemented
130#1439C2211yescharacteristic
131#1439C2211yescharacteristic
132#1439C2211yescharacteristic
133#1439C2211yescharacteristic
134#1439C2211yescharacteristic
135#1439C2211yescharacteristic
136#1439C2211yescharacteristic, complemented
137#1439C2211yescharacteristic, complemented
138#1439C2211yescharacteristic, complemented
139#1439C2211yescharacteristic, complemented
140#1439C2211yescharacteristic, complemented
141#1438C2211yescharacteristic
142#1438C2211yescharacteristic
143#1438C2211yescharacteristic
144#1438C2211yescharacteristic
145#1438C2211yescharacteristic
146#1438C2211yescharacteristic
147#1438C2211yescharacteristic
148#1438C2211yescharacteristic
149#1438C2211yescharacteristic, complemented
150#1437C2211yescharacteristic
151#1437C2211yescharacteristic
152#1437C2211yescharacteristic
153#1437C2211yescharacteristic
154#1437C2211yescharacteristic
155#1437C2211yescharacteristic
156#1437C2211yescharacteristic
157#1437C2211yescharacteristic
158#1437C2211yescharacteristic
159#1437C2211yescharacteristic
160#1437C2211yescharacteristic, complemented
161#1437C2211yescharacteristic, complemented
162#1437C2211yescharacteristic, complemented
163#1437C2211yescharacteristic, complemented
164#1437C2211yescharacteristic, complemented
165#1437C2211yescharacteristic, complemented
166#1437C2211yescharacteristic, complemented
167#1436C2211yescharacteristic, complemented
168#1436C2211yescharacteristic, complemented
169#1436C2211yescharacteristic, complemented
170#1436C2211yescharacteristic, complemented
171#1436C2211yescharacteristic, complemented
172#1436C2211yescharacteristic, complemented
173#1436C2211yescharacteristic, complemented
174#1436C2211yescharacteristic, complemented
175#1436C2211yescharacteristic, complemented
176#1436C2211yescharacteristic, complemented
177#1436C2211yescharacteristic, complemented
178#1436C2211yescharacteristic, complemented
179#1436C2211yescharacteristic, complemented
180C4⋊#95C2211yescharacteristic, complemented
181C4⋊#95C2211yescharacteristic, complemented
182#1434C2211yescharacteristic, complemented
183#1434C2211yescharacteristic, complemented
184C22⋊#95C2211yescharacteristic
185C22⋊#95C2211yescharacteristic
186C22⋊#95C2211yescharacteristic
187C22⋊#95C2211yescharacteristic
188C22⋊#95C2211yescharacteristic, complemented
189C4×#95C2211yescharacteristic, complemented
190C4×#95C2211yescharacteristic, complemented
191C4×#95C2211yescharacteristic, complemented
192C26C2311yescharacteristic
193C23×D4C2311yescharacteristic
194C23×D4C2311yescharacteristic
195C23×D4C2311yescharacteristic
196C23×D4C2311yescharacteristic
197C23×D4C2311yescharacteristic
198C23×D4C2311yescharacteristic
199C23×D4C2311yescharacteristic
200C24×C4C2311yescharacteristic
201C24×C4C2311yescharacteristic
202C24×C4C2311yescharacteristic
203C24×C4C2311yescharacteristic
204C24×C4C2311yescharacteristic
205C24×C4C2311yescharacteristic
206C24×C4C2311yescharacteristic
207C24×C4C2311yescharacteristic
208C2×#121—24no—
209C2×#121—24no—
210C2×#121—42no—
211C2×#121—42no—
212C2×#121C2×C418yescomplemented
213C2×#121C2×C418yescomplemented
214C2×#120—24no—
215C2×#120—24no—
216C2×#120—42no—
217C2×#120—42no—
218C2×#120C2×C418yes—
219C2×#120C2×C418yescomplemented
220C2×C4×D4—24no—
221C2×C4×D4—24no—
222C2×C4×D4—24no—
223C2×C4×D4—24no—
224C2×C4×D4—24no—
225C2×C4×D4—24no—
226C2×C4×D4—42no—
227C2×C4×D4—42no—
228C2×C4×D4C2×C418yescomplemented
229C2×#117—24no—
230C2×#117—24no—
231C2×#117—24no—
232C2×#117—24no—
233C2×#117—42no—
234C2×#117—42no—
235C22×C4⋊C4C2311yescharacteristic
236C22×C4⋊C4C2311yescharacteristic
237C22×C4⋊C4C2311yescharacteristic
238C22×C4⋊C4C2311yescharacteristic
239C22×C4⋊C4C2311yescharacteristic
240C22×C4⋊C4C2311yescharacteristic
241C22×C4⋊C4C2311yescharacteristic
242C22×C4⋊C4C2311yescharacteristic
243C22×C4⋊C4C2311yescharacteristic
244C22×C4⋊C4C2311yescharacteristic
245C22×C4⋊C4C2311yescharacteristic
246C22×C4⋊C4C2311yescharacteristic
247C22×C4⋊C4C2311yescharacteristic
248C22×C4⋊C4C2311yescharacteristic
249C22×C4⋊C4C2311yescharacteristic
250C22×C4⋊C4C2311yescharacteristic
251C22×C4⋊C4C2311yescharacteristic
252C22×C22⋊C4—24no—
253C22×C22⋊C4—24no—
254C22×C22⋊C4—24no—
255C22×C22⋊C4—24no—
256C22×C22⋊C4—24no—
257C22×C22⋊C4—24no—
258C22×C22⋊C4—42no—
259C22×C22⋊C4—42no—
260C22×C22⋊C4C2×C418yescomplemented
261C22×C22⋊C4C2311yescharacteristic
262C22×C22⋊C4C2311yescharacteristic
263C22×C22⋊C4C2311yescharacteristic
264C22×C22⋊C4C2311yescharacteristic
265C22×C22⋊C4C2311yescharacteristic
266C22×C22⋊C4C2311yescharacteristic
267C22×C22⋊C4C2311yescharacteristic
268C22×C22⋊C4C2311yescharacteristic
269C22×C22⋊C4C2311yescharacteristic
270C22×C22⋊C4C2311yescharacteristic
271C22×C22⋊C4C2311yescharacteristic
272C22×C22⋊C4C2311yescharacteristic
273C22×C22⋊C4C2311yescharacteristic
274C22×C22⋊C4C2311yescharacteristic
275C22×C22⋊C4C2311yescharacteristic
276C22×C22⋊C4C2311yescharacteristic
277C22×C22⋊C4C2311yescharacteristic
278C22×C22⋊C4C2311yescharacteristic
279C22×C22⋊C4C2311yescharacteristic
280C22×C22⋊C4C2311yescharacteristic
281C22×C22⋊C4C2311yescharacteristic
282C22×C22⋊C4C2311yescharacteristic
283C22×C22⋊C4C2311yescharacteristic
284C22×C22⋊C4C2311yescharacteristic
285C22×C22⋊C4C2311yescharacteristic
286C22×C22⋊C4C2311yescharacteristic
287C22×C22⋊C4C2311yescharacteristic
288C22×C22⋊C4C2311yescharacteristic
289C22×C22⋊C4C2311yescharacteristic
290C22×C22⋊C4C2311yescharacteristic
291C22×C22⋊C4C2311yescharacteristic
292C22×C22⋊C4C2311yescharacteristic
293C22×C22⋊C4C2311yescharacteristic
294C22×C22⋊C4C2311yescharacteristic
295C22×C22⋊C4C2311yescharacteristic
296C22×C22⋊C4C2311yescharacteristic
297C22×C22⋊C4C2311yescharacteristic
298C22×C22⋊C4C2311yescharacteristic
299C22×C22⋊C4C2311yescharacteristic
300C22×C22⋊C4C2311yescharacteristic
301C22×C22⋊C4C2311yescharacteristic
302C22×C22⋊C4C2311yescharacteristic
303C22×C22⋊C4C2311yescharacteristic
304C22×C22⋊C4C2311yescharacteristic
305C22×C22⋊C4C2311yescharacteristic
306C22×C22⋊C4C2311yescharacteristic
307C22×C22⋊C4C2311yescharacteristic
308C22×C22⋊C4C2311yescharacteristic
309C22×C22⋊C4C2311yescharacteristic
310C22×C22⋊C4C2311yescharacteristic
311C22×C42C2311yescharacteristic
312C22×C42C2311yescharacteristic
313C22×C42C2311yescharacteristic
314C22×C42C2311yescharacteristic
315C22×C42C2311yescharacteristic
316C22×C42C2311yescharacteristic
317C22×C42C2311yescharacteristic
318C22×C42C2311yescharacteristic
319C22×C42C2311yescharacteristic
320C22×C42C2311yescharacteristic
321C22×C42C2311yescharacteristic
322C22×C42C2311yescharacteristic
323C22×C42C2311yescharacteristic
324C22×C42C2311yescharacteristic
325C22×C42C2311yescharacteristic
326C22×C42C2311yescharacteristic
327C22×C42C2311yescharacteristic
328C22×C42C2311yescharacteristic
329#396C2×C418yescomplemented
330#394C2×C418yescomplemented
331#394C2×C418yescomplemented
332#392C2×C418yescomplemented
333#390—24no—
334#390—24no—
335#390—24no—
336#390—24no—
337#390—24no—
338#390—24no—
339#390—24no—
340#390—24no—
341#390—42no—
342#390C2×C418yescomplemented
343#389—24no—
344#389—24no—
345#389—24no—
346#389—42no—
347#388—24no—
348#388—24no—
349#388—24no—
350#388—24no—
351#388—24no—
352#388—24no—
353#388—24no—
354#388—24no—
355#388—24no—
356#388—42no—
357#388C2×C418yescomplemented
358#388D418yescomplemented
359#388D418yescomplemented
360#386—24no—
361#386—24no—
362#386—24no—
363#386—24no—
364#386—24no—
365#386—24no—
366#386—42no—
367#386—42no—
368#386C2×C418yescomplemented
369#386C2×C418yescomplemented
370#385—24no—
371#385—24no—
372#385—24no—
373#385—24no—
374#385—42no—
375#385—42no—
376#385—42no—
377#385C2×C418yescomplemented
378#381—24no—
379#380—24no—
380#379—24no—
381#379—24no—
382C4×C4⋊C4—24no—
383C4×C4⋊C4—24no—
384C4×C4⋊C4—42no—
385C4×C4⋊C4—42no—
386C4×C22⋊C4—24no—
387C4×C22⋊C4—24no—
388C4×C22⋊C4—24no—
389C4×C22⋊C4—24no—
390C4×C22⋊C4—24no—
391C4×C22⋊C4—24no—
392C4×C22⋊C4—24no—
393C4×C22⋊C4—24no—
394C4×C22⋊C4—24no—
395C4×C22⋊C4—24no—
396C4×C22⋊C4—24no—
397C4×C22⋊C4—42no—
398C4×C22⋊C4—42no—
399C4×C22⋊C4—42no—
400C4×C22⋊C4—42no—
401C2×#95C2311yescharacteristic
402C2×#95C2311yescharacteristic
403C2×#95C2311yescharacteristic
404C2×#95C2311yescharacteristic
405C2×#95C2311yescharacteristic
406C2×#95C2311yescharacteristic
407C2×#95C2311yescharacteristic
408C2×#95C2311yescharacteristic
409C2×#95C2311yescharacteristic
410C2×#95C2311yescharacteristic
411C2×#95C2311yescharacteristic
412C2×#95C2311yescharacteristic
413C2×#95C2311yescharacteristic
414C2×#95C2311yescharacteristic
415C2×#95C2311yescharacteristic
416C2×#95C2311yescharacteristic
417C2×#95C2311yescharacteristic
418C2×#95C2311yescharacteristic
419C2×#95C2311yescharacteristic
420C2×#95C2311yescharacteristic
421C2×#95C2311yescharacteristic
422C2×#95C2311yescharacteristic
423C2×#95C2311yescharacteristic
424C2×#95C2311yescharacteristic
425C2×#95C2311yescharacteristic
426C2×#95C2311yescharacteristic
427C2×#95C2311yescharacteristic
428C2×#95C2311yescharacteristic
429C2×#95C2311yescharacteristic
430C2×#95C2311yescharacteristic
431C2×#95C2311yescharacteristic
432C2×#95C2311yescharacteristic
433C2×#95C2311yescharacteristic
434C2×#95C2311yescharacteristic
435C2×#95C2311yescharacteristic
436C2×#95C2311yescharacteristic
437C2×#95C2311yescharacteristic
438C2×#95C2311yescharacteristic
439C2×#95C2311yescharacteristic
440C2×#95C2311yescharacteristic
441C2×#95C2311yescharacteristic
442C2×#95C2311yescharacteristic
443C2×#95C2311yescharacteristic
444C2×#95C2311yescharacteristic
445C2×#95C2311yescharacteristic
446C2×#95C2311yescharacteristic
447C2×#95C2311yescharacteristic
448C2×#95C2311yescharacteristic
449C2×#95C2311yescharacteristic
450C2×#95C2311yescharacteristic
451C2×#95C2311yescharacteristic
452C2×#95C2311yescharacteristic
453C2×#95C2311yescharacteristic
454C2×#95C2311yescharacteristic
455C43—24no—
456C25—22no—
457C25—22no—
458C25—22no—
459C25—22no—
460C25—22no—
461C25—22no—
462C25—41no—
463C25—41no—
464C25—41no—
465C25—41no—
466C25—41no—
467C25—41no—
468C25—41no—
469C25—41no—
470C25C22×C414yes—
471C25C2411yescharacteristic
472C25C2411yescharacteristic
473C25C2411yescharacteristic
474C25C2411yescharacteristic
475C25C2411yescharacteristic
476C22×D4—22no—
477C22×D4—22no—
478C22×D4—22no—
479C22×D4—22no—
480C22×D4—22no—
481C22×D4—22no—
482C22×D4—22no—
483C22×D4—22no—
484C22×D4—22no—
485C22×D4—22no—
486C22×D4—22no—
487C22×D4—22no—
488C22×D4—22no—
489C22×D4—22no—
490C22×D4—22no—
491C22×D4—22no—
492C22×D4—22no—
493C22×D4—22no—
494C22×D4—22no—
495C22×D4—22no—
496C22×D4—41no—
497C22×D4—41no—
498C22×D4—41no—
499C22×D4—41no—
500C22×D4—41no—
501C22×D4—41no—
502C22×D4—41no—
503C22×D4—41no—
504C22×D4—41no—
505C22×D4—41no—
506C22×D4—41no—
507C22×D4—41no—
508C22×D4—41no—
509C22×D4—41no—
510C22×D4—41no—
511C22×D4—41no—
512C22×D4—41no—
513C22×D4—41no—
514C22×D4—41no—
515C22×D4—41no—
516C22×D4—41no—
517C22×D4—41no—
518C22×D4C22×C414yes—
519C22×D4C22×C414yes—
520C22×D4C22×C414yes—
521C22×D4C22×C414yes—
522C22×D4C22×C414yes—
523C22×D4C22×C414yes—
524C22×D4C22×C414yes—
525C23×C4—22no—
526C23×C4—22no—
527C23×C4—22no—
528C23×C4—22no—
529C23×C4—22no—
530C23×C4—22no—
531C23×C4—22no—
532C23×C4—22no—
533C23×C4—22no—
534C23×C4—22no—
535C23×C4—22no—
536C23×C4—22no—
537C23×C4—22no—
538C23×C4—22no—
539C23×C4—22no—
540C23×C4—22no—
541C23×C4—22no—
542C23×C4—22no—
543C23×C4—22no—
544C23×C4—22no—
545C23×C4—22no—
546C23×C4—22no—
547C23×C4—22no—
548C23×C4—22no—
549C23×C4—22no—
550C23×C4—22no—
551C23×C4—22no—
552C23×C4—22no—
553C23×C4—41no—
554C23×C4—41no—
555C23×C4—41no—
556C23×C4—41no—
557C23×C4—41no—
558C23×C4—41no—
559C23×C4—41no—
560C23×C4—41no—
561C23×C4—41no—
562C23×C4—41no—
563C23×C4—41no—
564C23×C4—41no—
565C23×C4—41no—
566C23×C4—41no—
567C23×C4—41no—
568C23×C4—41no—
569C23×C4—41no—
570C23×C4—41no—
571C23×C4—41no—
572C23×C4—41no—
573C23×C4—41no—
574C23×C4—41no—
575C23×C4—41no—
576C23×C4—41no—
577C23×C4—41no—
578C23×C4C22×C414yes—
579C23×C4C22×C414yes—
580C23×C4C22×C414yes—
581C23×C4C2411yescharacteristic
582C23×C4C2411yescharacteristic
583C23×C4C2411yescharacteristic
584C23×C4C2411yescharacteristic
585C23×C4C2411yescharacteristic
586C23×C4C2411yescharacteristic
587C23×C4C2411yescharacteristic
588C23×C4C2411yescharacteristic
589C23×C4C2411yescharacteristic
590C23×C4C2411yescharacteristic
591C23×C4C2411yescharacteristic
592C23×C4C2411yescharacteristic
593C23×C4C2411yescharacteristic
594C23×C4C2411yescharacteristic
595C23×C4C2411yescharacteristic
596C23×C4C2411yescharacteristic
597C23×C4C2411yescharacteristic
598C23×C4C2411yescharacteristic
599C23×C4C2411yescharacteristic
600C23×C4C2411yescharacteristic
601C23×C4C2411yescharacteristic
602C23×C4C2411yescharacteristic
603C23×C4C2411yescharacteristic
604C23×C4C2411yescharacteristic
605C23×C4C2411yescharacteristic
606C23×C4C2411yescharacteristic
607#121—232no—
608#121—416no—
609#120—232no—
610#120—416no—
611C4×D4—232no—
612C4×D4—416no—
613C4×D4—416no—
614#117—416no—
615#117—416no—
616C2×C4⋊C4—22no—
617C2×C4⋊C4—22no—
618C2×C4⋊C4—22no—
619C2×C4⋊C4—22no—
620C2×C4⋊C4—22no—
621C2×C4⋊C4—22no—
622C2×C4⋊C4—22no—
623C2×C4⋊C4—22no—
624C2×C4⋊C4—22no—
625C2×C4⋊C4—22no—
626C2×C4⋊C4—22no—
627C2×C4⋊C4—22no—
628C2×C4⋊C4—22no—
629C2×C4⋊C4—22no—
630C2×C4⋊C4—22no—
631C2×C4⋊C4—22no—
632C2×C4⋊C4—22no—
633C2×C4⋊C4—22no—
634C2×C4⋊C4—22no—
635C2×C4⋊C4—22no—
636C2×C4⋊C4—22no—
637C2×C4⋊C4—22no—
638C2×C4⋊C4—22no—
639C2×C4⋊C4—22no—
640C2×C4⋊C4—22no—
641C2×C4⋊C4—22no—
642C2×C4⋊C4—22no—
643C2×C4⋊C4—41no—
644C2×C4⋊C4—41no—
645C2×C4⋊C4—41no—
646C2×C4⋊C4—41no—
647C2×C4⋊C4—41no—
648C2×C4⋊C4—41no—
649C2×C4⋊C4—41no—
650C2×C4⋊C4—41no—
651C2×C4⋊C4—41no—
652C2×C4⋊C4—41no—
653C2×C4⋊C4—41no—
654C2×C4⋊C4—41no—
655C2×C4⋊C4—41no—
656C2×C4⋊C4—41no—
657C2×C4⋊C4—41no—
658C2×C4⋊C4—41no—
659C2×C4⋊C4—41no—
660C2×C4⋊C4—41no—
661C2×C4⋊C4C22×C414yes—
662C2×C4⋊C4C22×C414yes—
663C2×C4⋊C4C22×C414yes—
664C2×C4⋊C4C22×C414yes—
665C2×C4⋊C4C2×D414yes—
666C2×C4⋊C4C2×D414yes—
667C2×C22⋊C4—22no—
668C2×C22⋊C4—22no—
669C2×C22⋊C4—22no—
670C2×C22⋊C4—22no—
671C2×C22⋊C4—22no—
672C2×C22⋊C4—22no—
673C2×C22⋊C4—22no—
674C2×C22⋊C4—22no—
675C2×C22⋊C4—22no—
676C2×C22⋊C4—22no—
677C2×C22⋊C4—22no—
678C2×C22⋊C4—22no—
679C2×C22⋊C4—22no—
680C2×C22⋊C4—22no—
681C2×C22⋊C4—22no—
682C2×C22⋊C4—22no—
683C2×C22⋊C4—22no—
684C2×C22⋊C4—22no—
685C2×C22⋊C4—22no—
686C2×C22⋊C4—22no—
687C2×C22⋊C4—22no—
688C2×C22⋊C4—22no—
689C2×C22⋊C4—22no—
690C2×C22⋊C4—22no—
691C2×C22⋊C4—22no—
692C2×C22⋊C4—22no—
693C2×C22⋊C4—22no—
694C2×C22⋊C4—22no—
695C2×C22⋊C4—232no—
696C2×C22⋊C4—22no—
697C2×C22⋊C4—22no—
698C2×C22⋊C4—22no—
699C2×C22⋊C4—22no—
700C2×C22⋊C4—22no—
701C2×C22⋊C4—22no—
702C2×C22⋊C4—22no—
703C2×C22⋊C4—22no—
704C2×C22⋊C4—22no—
705C2×C22⋊C4—22no—
706C2×C22⋊C4—22no—
707C2×C22⋊C4—22no—
708C2×C22⋊C4—22no—
709C2×C22⋊C4—22no—
710C2×C22⋊C4—22no—
711C2×C22⋊C4—22no—
712C2×C22⋊C4—22no—
713C2×C22⋊C4—22no—
714C2×C22⋊C4—22no—
715C2×C22⋊C4—22no—
716C2×C22⋊C4—22no—
717C2×C22⋊C4—22no—
718C2×C22⋊C4—22no—
719C2×C22⋊C4—22no—
720C2×C22⋊C4—22no—
721C2×C22⋊C4—22no—
722C2×C22⋊C4—22no—
723C2×C22⋊C4—22no—
724C2×C22⋊C4—22no—
725C2×C22⋊C4—22no—
726C2×C22⋊C4—22no—
727C2×C22⋊C4—22no—
728C2×C22⋊C4—22no—
729C2×C22⋊C4—22no—
730C2×C22⋊C4—22no—
731C2×C22⋊C4—22no—
732C2×C22⋊C4—22no—
733C2×C22⋊C4—22no—
734C2×C22⋊C4—22no—
735C2×C22⋊C4—22no—
736C2×C22⋊C4—22no—
737C2×C22⋊C4—22no—
738C2×C22⋊C4—22no—
739C2×C22⋊C4—22no—
740C2×C22⋊C4—22no—
741C2×C22⋊C4—22no—
742C2×C22⋊C4—22no—
743C2×C22⋊C4—22no—
744C2×C22⋊C4—22no—
745C2×C22⋊C4—22no—
746C2×C22⋊C4—416no—
747C2×C22⋊C4—416no—
748C2×C22⋊C4—41no—
749C2×C22⋊C4—41no—
750C2×C22⋊C4—41no—
751C2×C22⋊C4—41no—
752C2×C22⋊C4—41no—
753C2×C22⋊C4—41no—
754C2×C22⋊C4—41no—
755C2×C22⋊C4—41no—
756C2×C22⋊C4—41no—
757C2×C22⋊C4—41no—
758C2×C22⋊C4—41no—
759C2×C22⋊C4—41no—
760C2×C22⋊C4—41no—
761C2×C22⋊C4—41no—
762C2×C22⋊C4—41no—
763C2×C22⋊C4—41no—
764C2×C22⋊C4—41no—
765C2×C22⋊C4—41no—
766C2×C22⋊C4—41no—
767C2×C22⋊C4—41no—
768C2×C22⋊C4—41no—
769C2×C22⋊C4—41no—
770C2×C22⋊C4—41no—
771C2×C22⋊C4—41no—
772C2×C22⋊C4—41no—
773C2×C22⋊C4—41no—
774C2×C22⋊C4—41no—
775C2×C22⋊C4—41no—
776C2×C22⋊C4—41no—
777C2×C22⋊C4—41no—
778C2×C22⋊C4—41no—
779C2×C22⋊C4—41no—
780C2×C22⋊C4—41no—
781C2×C22⋊C4—41no—
782C2×C22⋊C4—41no—
783C2×C22⋊C4—41no—
784C2×C22⋊C4—41no—
785C2×C22⋊C4—41no—
786C2×C22⋊C4—41no—
787C2×C22⋊C4—41no—
788C2×C22⋊C4—41no—
789C2×C22⋊C4—41no—
790C2×C22⋊C4—41no—
791C2×C22⋊C4—41no—
792C2×C22⋊C4—41no—
793C2×C22⋊C4—41no—
794C2×C22⋊C4—41no—
795C2×C22⋊C4C22×C414yes—
796C2×C22⋊C4C22×C414yes—
797C2×C22⋊C4C22×C414yes—
798C2×C22⋊C4C22×C414yes—
799C2×C22⋊C4C22×C414yes—
800C2×C22⋊C4C22×C414yes—
801C2×C22⋊C4C22×C414yes—
802C2×C22⋊C4C22×C414yes—
803C2×C22⋊C4C22×C414yes—
804C2×C22⋊C4C22×C414yes—
805C2×C22⋊C4C22×C414yes—
806C2×C22⋊C4C22×C414yes—
807C2×C22⋊C4C22×C414yes—
808C2×C22⋊C4C22×C414yes—
809C2×C22⋊C4C22×C414yes—
810C2×C22⋊C4C2×D414yes—
811C2×C22⋊C4C2×D414yes—
812C2×C22⋊C4C2×D414yes—
813C2×C22⋊C4C2×D414yes—
814C2×C22⋊C4C2×D414yes—
815C2×C22⋊C4C2×D414yes—
816C2×C22⋊C4#4114yes—
817C2×C22⋊C4#4114yes—
818C2×C22⋊C4#4114yes—
819C2×C22⋊C4#4114yes—
820C2×C42—22no—
821C2×C42—22no—
822C2×C42—22no—
823C2×C42—22no—
824C2×C42—22no—
825C2×C42—22no—
826C2×C42—22no—
827C2×C42—22no—
828C2×C42—22no—
829C2×C42—22no—
830C2×C42—22no—
831C2×C42—22no—
832C2×C42—22no—
833C2×C42—22no—
834C2×C42—22no—
835C2×C42—22no—
836C2×C42—22no—
837C2×C42—22no—
838C2×C42—22no—
839C2×C42—22no—
840C2×C42—22no—
841C2×C42—22no—
842C2×C42—22no—
843C2×C42—22no—
844C2×C42—22no—
845C2×C42—22no—
846C2×C42—22no—
847C2×C42—22no—
848C2×C42—22no—
849C2×C42—22no—
850C2×C42—41no—
851C2×C42—41no—
852C2×C42—41no—
853C2×C42—41no—
854C2×C42—41no—
855C2×C42—41no—
856C2×C42—41no—
857C2×C42—41no—
858C2×C42—41no—
859C2×C42—41no—
860C2×C42—41no—
861C2×C42—41no—
862C2×C42—41no—
863C2×C42—41no—
864C2×C42—41no—
865C2×C42—41no—
866C2×C42—41no—
867C2×C42—41no—
868C2×C42—41no—
869C2×C42—41no—
870C2×C42—41no—
871C2×C42C22×C414yes—
872C2×C42C2×D414yes—
873C2×C42C2×D414yes—
874#95—22no—
875#95—22no—
876#95—22no—
877#95—22no—
878#95—22no—
879#95—22no—
880#95—22no—
881#95—22no—
882#95—22no—
883#95—22no—
884#95—22no—
885#95—22no—
886#95—22no—
887#95—22no—
888#95—22no—
889#95—22no—
890#95—22no—
891#95—22no—
892#95—22no—
893#95—22no—
894#95—22no—
895#95—22no—
896#95—22no—
897#95—22no—
898#95—22no—
899#95—22no—
900#95—22no—
901#95—22no—
902#95—22no—
903#95—22no—
904#95—22no—
905#95—41no—
906#95—41no—
907#95—41no—
908#95—41no—
909#95—41no—
910#95—41no—
911#95—41no—
912#95—41no—
913#95—41no—
914#95—41no—
915#95—41no—
916#95—41no—
917#95—41no—
918#95—41no—
919#95—41no—
920#95C22×C414yes—
921#95C22×C414yes—
922#95C22×C414yes—
923#95C22×C414yes—
924#95C2×D414yes—
925#95C2×D414yes—
926#95C2×D414yes—
927#95C2×D414yes—
928C24—21no—
929C24—21no—
930C24—21no—
931C24—21no—
932C24—21no—
933C24—21no—
934C24—21no—
935C24—21no—
936C24—21no—
937C24—21no—
938C24—21no—
939C24—21no—
940C24—21no—
941C24—21no—
942C24—21no—
943C24—21no—
944C24—21no—
945C24—21no—
946C24—21no—
947C24—21no—
948C24—21no—
949C24—21no—
950C24—21no—
951C24—21no—
952C24—21no—
953C24—21no—
954C24—21no—
955C24—21no—
956C24—21no—
957C24—21no—
958C24—21no—
959C24—21no—
960C24—21no—
961C24—21no—
962C24—21no—
963C24—21no—
964C24—21no—
965C24—21no—
966C24—21no—
967C24—21no—
968C24—21no—
969C24—21no—
970C24—21no—
971C24—21no—
972C24—21no—
973C24—21no—
974C24—21no—
975C24—21no—
976C24—21no—
977C24—21no—
978C24—21no—
979C24—21no—
980C24—21no—
981C24—21no—
982C24—21no—
983C24—21no—
984C24—21no—
985C24—21no—
986C24—21no—
987C24—21no—
988C24—21no—
989C24—21no—
990C24—21no—
991C24—21no—
992C24—28no—
993C24—28no—
994C24—28no—
995C24—44no—
996C24—44no—
997C24—44no—
998C24—44no—
999C24—44no—
1000C24—44no—
1001C24—44no—
1002C24—44no—
1003C24—44no—
1004C24—44no—
1005C24—44no—
1006C24—44no—
1007C24—44no—
1008C24—44no—
1009C24—44no—
1010C24—44no—
1011C24—82no—
1012C24—82no—
1013C24—82no—
1014C24—82no—
1015C24—82no—
1016C24—82no—
1017C24—82no—
1018C24—82no—
1019C24—82no—
1020C24—82no—
1021C24—82no—
1022C24—82no—
1023C24—82no—
1024C24—82no—
1025C24—82no—
1026C24—82no—
1027C24C23×C412yes—
1028C24C23×C412yes—
1029C24C23×C412yes—
1030C24C23×C412yes—
1031C24C23×C412yes—
1032C24C22×D412yes—
1033C24C22×D412yes—
1034C24C2×#4112yes—
1035C24C2×#4112yes—
1036C24C2×#4112yes—
1037C24C2×#4112yes—
1038C24C2511yescharacteristic
1039C2×D4—28no—
1040C2×D4—28no—
1041C2×D4—28no—
1042C2×D4—28no—
1043C2×D4—28no—
1044C2×D4—28no—
1045C2×D4—28no—
1046C2×D4—28no—
1047C2×D4—28no—
1048C2×D4—28no—
1049C2×D4—44no—
1050C2×D4—44no—
1051C2×D4—44no—
1052C2×D4—44no—
1053C2×D4—44no—
1054C2×D4—44no—
1055C2×D4—44no—
1056C2×D4—44no—
1057C2×D4—44no—
1058C2×D4—44no—
1059C2×D4—44no—
1060C2×D4—44no—
1061C2×D4—44no—
1062C2×D4—44no—
1063C2×D4—44no—
1064C2×D4—44no—
1065C2×D4—44no—
1066C2×D4—44no—
1067C2×D4—44no—
1068C2×D4—44no—
1069C2×D4—44no—
1070C2×D4—44no—
1071C2×D4—44no—
1072C2×D4—82no—
1073C2×D4—82no—
1074C2×D4—82no—
1075C2×D4—82no—
1076C2×D4—82no—
1077C2×D4—82no—
1078C2×D4—82no—
1079C2×D4—82no—
1080C2×D4—82no—
1081C2×D4—82no—
1082C2×D4—82no—
1083C2×D4—82no—
1084C2×D4—82no—
1085C2×D4—82no—
1086C2×D4—82no—
1087C2×D4—82no—
1088C22×C4—21no—
1089C22×C4—21no—
1090C22×C4—21no—
1091C22×C4—21no—
1092C22×C4—21no—
1093C22×C4—21no—
1094C22×C4—21no—
1095C22×C4—21no—
1096C22×C4—21no—
1097C22×C4—21no—
1098C22×C4—21no—
1099C22×C4—21no—
1100C22×C4—21no—
1101C22×C4—21no—
1102C22×C4—21no—
1103C22×C4—21no—
1104C22×C4—21no—
1105C22×C4—21no—
1106C22×C4—21no—
1107C22×C4—21no—
1108C22×C4—21no—
1109C22×C4—21no—
1110C22×C4—21no—
1111C22×C4—21no—
1112C22×C4—21no—
1113C22×C4—21no—
1114C22×C4—21no—
1115C22×C4—21no—
1116C22×C4—28no—
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—21no—
1139C22×C4—21no—
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—21no—
1161C22×C4—21no—
1162C22×C4—21no—
1163C22×C4—21no—
1164C22×C4—21no—
1165C22×C4—21no—
1166C22×C4—21no—
1167C22×C4—21no—
1168C22×C4—21no—
1169C22×C4—21no—
1170C22×C4—21no—
1171C22×C4—21no—
1172C22×C4—21no—
1173C22×C4—21no—
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—28no—
1196C22×C4—28no—
1197C22×C4—28no—
1198C22×C4—28no—
1199C22×C4—21no—
1200C22×C4—21no—
1201C22×C4—21no—
1202C22×C4—21no—
1203C22×C4—21no—
1204C22×C4—21no—
1205C22×C4—21no—
1206C22×C4—21no—
1207C22×C4—21no—
1208C22×C4—21no—
1209C22×C4—21no—
1210C22×C4—21no—
1211C22×C4—21no—
1212C22×C4—21no—
1213C22×C4—21no—
1214C22×C4—21no—
1215C22×C4—21no—
1216C22×C4—21no—
1217C22×C4—21no—
1218C22×C4—21no—
1219C22×C4—21no—
1220C22×C4—21no—
1221C22×C4—21no—
1222C22×C4—21no—
1223C22×C4—21no—
1224C22×C4—21no—
1225C22×C4—21no—
1226C22×C4—21no—
1227C22×C4—21no—
1228C22×C4—21no—
1229C22×C4—21no—
1230C22×C4—21no—
1231C22×C4—21no—
1232C22×C4—21no—
1233C22×C4—21no—
1234C22×C4—21no—
1235C22×C4—21no—
1236C22×C4—21no—
1237C22×C4—21no—
1238C22×C4—21no—
1239C22×C4—21no—
1240C22×C4—21no—
1241C22×C4—44no—
1242C22×C4—44no—
1243C22×C4—44no—
1244C22×C4—44no—
1245C22×C4—44no—
1246C22×C4—44no—
1247C22×C4—44no—
1248C22×C4—44no—
1249C22×C4—44no—
1250C22×C4—44no—
1251C22×C4—44no—
1252C22×C4—44no—
1253C22×C4—44no—
1254C22×C4—44no—
1255C22×C4—44no—
1256C22×C4—44no—
1257C22×C4—44no—
1258C22×C4—44no—
1259C22×C4—44no—
1260C22×C4—44no—
1261C22×C4—44no—
1262C22×C4—44no—
1263C22×C4—44no—
1264C22×C4—44no—
1265C22×C4—44no—
1266C22×C4—44no—
1267C22×C4—44no—
1268C22×C4—44no—
1269C22×C4—44no—
1270C22×C4—44no—
1271C22×C4—82no—
1272C22×C4—82no—
1273C22×C4—82no—
1274C22×C4—82no—
1275C22×C4—82no—
1276C22×C4—82no—
1277C22×C4—82no—
1278C22×C4—82no—
1279C22×C4—82no—
1280C22×C4—82no—
1281C22×C4—82no—
1282C22×C4—82no—
1283C22×C4—82no—
1284C22×C4—82no—
1285C22×C4—82no—
1286C22×C4—82no—
1287C22×C4—82no—
1288C22×C4—82no—
1289C22×C4—82no—
1290C22×C4—82no—
1291C22×C4—82no—
1292C22×C4C23×C412yes—
1293C22×C4C23×C412yes—
1294C22×C4C23×C412yes—
1295C22×C4C23×C412yes—
1296C22×C4C23×C412yes—
1297C22×C4C23×C412yes—
1298C22×C4C23×C412yes—
1299C22×C4C23×C412yes—
1300C22×C4C23×C412yes—
1301C22×C4C23×C412yes—
1302C22×C4C22×D412yes—
1303C22×C4C22×D412yes—
1304C22×C4C22×D412yes—
1305C22×C4C22×D412yes—
1306C22×C4C22×D412yes—
1307C22×C4C22×D412yes—
1308C22×C4C22×D412yes—
1309C22×C4C22×D412yes—
1310C22×C4C22×D412yes—
1311C22×C4C22×D412yes—
1312C22×C4C22×D412yes—
1313C22×C4C22×D412yes—
1314C22×C4C2×#4112yes—
1315C22×C4C2×#4112yes—
1316C22×C4C2×#4112yes—
1317C22×C4C2×#4112yes—
1318C22×C4C2×#4112yes—
1319C22×C4C2×#4112yes—
1320C22×C4C2×#4112yes—
1321C22×C4C2×#4112yes—
1322C22×C4H(5,𝔽2)12yes—
1323C22×C4H(5,𝔽2)12yes—
1324C22×C4H(5,𝔽2)12yes—
1325C22×C4H(5,𝔽2)12yes—
1326C4⋊C4—28no—
1327C4⋊C4—28no—
1328C4⋊C4—28no—
1329C4⋊C4—28no—
1330C4⋊C4—44no—
1331C4⋊C4—44no—
1332C4⋊C4—44no—
1333C4⋊C4—44no—
1334C4⋊C4—44no—
1335C4⋊C4—44no—
1336C4⋊C4—44no—
1337C4⋊C4—44no—
1338C4⋊C4—44no—
1339C4⋊C4—82no—
1340C4⋊C4—82no—
1341C4⋊C4—82no—
1342C4⋊C4—82no—
1343C22⋊C4—28no—
1344C22⋊C4—28no—
1345C22⋊C4—28no—
1346C22⋊C4—28no—
1347C22⋊C4—28no—
1348C22⋊C4—28no—
1349C22⋊C4—28no—
1350C22⋊C4—28no—
1351C22⋊C4—28no—
1352C22⋊C4—28no—
1353C22⋊C4—28no—
1354C22⋊C4—28no—
1355C22⋊C4—28no—
1356C22⋊C4—28no—
1357C22⋊C4—44no—
1358C22⋊C4—44no—
1359C22⋊C4—44no—
1360C22⋊C4—44no—
1361C22⋊C4—44no—
1362C22⋊C4—44no—
1363C22⋊C4—44no—
1364C22⋊C4—44no—
1365C22⋊C4—44no—
1366C22⋊C4—44no—
1367C22⋊C4—44no—
1368C22⋊C4—44no—
1369C22⋊C4—44no—
1370C22⋊C4—44no—
1371C22⋊C4—44no—
1372C22⋊C4—44no—
1373C22⋊C4—44no—
1374C22⋊C4—44no—
1375C22⋊C4—44no—
1376C22⋊C4—44no—
1377C22⋊C4—44no—
1378C22⋊C4—44no—
1379C22⋊C4—44no—
1380C22⋊C4—44no—
1381C22⋊C4—44no—
1382C22⋊C4—44no—
1383C22⋊C4—44no—
1384C22⋊C4—82no—
1385C22⋊C4—82no—
1386C22⋊C4—82no—
1387C22⋊C4—82no—
1388C22⋊C4—82no—
1389C22⋊C4—82no—
1390C22⋊C4—82no—
1391C22⋊C4C4×D4116yes—
1392C22⋊C4C4×D4116yescomplemented
1393C42—28no—
1394C42—28no—
1395C42—28no—
1396C42—44no—
1397C42—44no—
1398C42—44no—
1399C42—44no—
1400C42—44no—
1401C42—44no—
1402C42—44no—
1403C42—44no—
1404C42—44no—
1405C42—82no—
1406C42—82no—
1407C42—82no—
1408C42—82no—
1409C42—82no—
1410C42—82no—
1411C23—22no—
1412C23—22no—
1413C23—22no—
1414C23—22no—
1415C23—22no—
1416C23—22no—
1417C23—22no—
1418C23—22no—
1419C23—22no—
1420C23—22no—
1421C23—22no—
1422C23—22no—
1423C23—22no—
1424C23—22no—
1425C23—22no—
1426C23—22no—
1427C23—22no—
1428C23—22no—
1429C23—22no—
1430C23—22no—
1431C23—22no—
1432C23—22no—
1433C23—22no—
1434C23—22no—
1435C23—22no—
1436C23—22no—
1437C23—22no—
1438C23—22no—
1439C23—22no—
1440C23—22no—
1441C23—22no—
1442C23—22no—
1443C23—22no—
1444C23—22no—
1445C23—22no—
1446C23—22no—
1447C23—22no—
1448C23—22no—
1449C23—22no—
1450C23—22no—
1451C23—22no—
1452C23—22no—
1453C23—22no—
1454C23—22no—
1455C23—22no—
1456C23—22no—
1457C23—22no—
1458C23—22no—
1459C23—22no—
1460C23—22no—
1461C23—22no—
1462C23—22no—
1463C23—22no—
1464C23—22no—
1465C23—22no—
1466C23—22no—
1467C23—22no—
1468C23—22no—
1469C23—22no—
1470C23—22no—
1471C23—22no—
1472C23—22no—
1473C23—22no—
1474C23—22no—
1475C23—22no—
1476C23—22no—
1477C23—22no—
1478C23—22no—
1479C23—416no—
1480C23—416no—
1481C23—416no—
1482C23—41no—
1483C23—41no—
1484C23—41no—
1485C23—41no—
1486C23—41no—
1487C23—41no—
1488C23—41no—
1489C23—41no—
1490C23—41no—
1491C23—41no—
1492C23—41no—
1493C23—41no—
1494C23—41no—
1495C23—41no—
1496C23—41no—
1497C23—41no—
1498C23—41no—
1499C23—41no—
1500C23—41no—
1501C23—41no—
1502C23—41no—
1503C23—41no—
1504C23—41no—
1505C23—41no—
1506C23—41no—
1507C23—41no—
1508C23—41no—
1509C23—41no—
1510C23—41no—
1511C23—41no—
1512C23—41no—
1513C23—41no—
1514C23—41no—
1515C23—41no—
1516C23—41no—
1517C23—41no—
1518C23—41no—
1519C23—41no—
1520C23—41no—
1521C23—41no—
1522C23—41no—
1523C23—41no—
1524C23—41no—
1525C23—41no—
1526C23—41no—
1527C23—41no—
1528C23—41no—
1529C23—41no—
1530C23—41no—
1531C23—41no—
1532C23—41no—
1533C23—41no—
1534C23—41no—
1535C23—41no—
1536C23—41no—
1537C23—41no—
1538C23—41no—
1539C23—41no—
1540C23—41no—
1541C23—41no—
1542C23—41no—
1543C23—41no—
1544C23—41no—
1545C23—41no—
1546C23—41no—
1547C23—41no—
1548C23—41no—
1549C23—41no—
1550C23—41no—
1551C23—41no—
1552C23—41no—
1553C23—41no—
1554C23—41no—
1555C23—41no—
1556C23—41no—
1557C23—41no—
1558C23—41no—
1559C23—41no—
1560C23—41no—
1561C23—41no—
1562C23—41no—
1563C23—41no—
1564C23—41no—
1565C23—41no—
1566C23—41no—
1567C23—41no—
1568C23—41no—
1569C23—41no—
1570C23—41no—
1571C23—41no—
1572C23—41no—
1573C23—41no—
1574C23—41no—
1575C23—41no—
1576C23—41no—
1577C23—41no—
1578C23—41no—
1579C23—41no—
1580C23—41no—
1581C23—41no—
1582C23—41no—
1583C23—41no—
1584C23—41no—
1585C23—41no—
1586C23—88no—
1587C23—88no—
1588C23—88no—
1589C23—88no—
1590C23—88no—
1591C23—88no—
1592C23—88no—
1593C23—88no—
1594C23—88no—
1595C23—88no—
1596C23—88no—
1597C23—88no—
1598C23C2×C4×D414yes—
1599C23C2×C4×D414yes—
1600C23C4×#4114yes—
1601C23C24×C411yescharacteristic
1602C23C23×D411yescharacteristic
1603C23C23×D411yescharacteristic
1604C23C22×#4111yescharacteristic
1605C23C22×#4111yescharacteristic
1606C23C22×#4111yescharacteristic
1607C23C22×#4111yescharacteristic
1608C23C2×H(5,𝔽2)11yescharacteristic
1609C23C2×H(5,𝔽2)11yescharacteristic
1610C23C2×H(5,𝔽2)11yescharacteristic
1611C23C2×H(5,𝔽2)11yescharacteristic
1612C23#58511yescharacteristic
1613C23#58511yescharacteristic
1614C23#58511yescharacteristic
1615C23#58511yescharacteristic
1616D4—416no—
1617D4—416no—
1618D4—416no—
1619D4—88no—
1620D4—88no—
1621D4—88no—
1622D4—88no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—22no—
1638C2×C4—22no—
1639C2×C4—22no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—22no—
1646C2×C4—22no—
1647C2×C4—22no—
1648C2×C4—22no—
1649C2×C4—22no—
1650C2×C4—22no—
1651C2×C4—22no—
1652C2×C4—22no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—22no—
1662C2×C4—22no—
1663C2×C4—22no—
1664C2×C4—22no—
1665C2×C4—22no—
1666C2×C4—22no—
1667C2×C4—22no—
1668C2×C4—22no—
1669C2×C4—22no—
1670C2×C4—22no—
1671C2×C4—22no—
1672C2×C4—22no—
1673C2×C4—22no—
1674C2×C4—22no—
1675C2×C4—22no—
1676C2×C4—22no—
1677C2×C4—22no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—22no—
1681C2×C4—22no—
1682C2×C4—22no—
1683C2×C4—22no—
1684C2×C4—22no—
1685C2×C4—22no—
1686C2×C4—22no—
1687C2×C4—22no—
1688C2×C4—22no—
1689C2×C4—22no—
1690C2×C4—22no—
1691C2×C4—22no—
1692C2×C4—22no—
1693C2×C4—22no—
1694C2×C4—22no—
1695C2×C4—22no—
1696C2×C4—22no—
1697C2×C4—22no—
1698C2×C4—22no—
1699C2×C4—22no—
1700C2×C4—22no—
1701C2×C4—22no—
1702C2×C4—22no—
1703C2×C4—22no—
1704C2×C4—416no—
1705C2×C4—416no—
1706C2×C4—41no—
1707C2×C4—41no—
1708C2×C4—41no—
1709C2×C4—41no—
1710C2×C4—41no—
1711C2×C4—41no—
1712C2×C4—41no—
1713C2×C4—41no—
1714C2×C4—41no—
1715C2×C4—41no—
1716C2×C4—41no—
1717C2×C4—41no—
1718C2×C4—41no—
1719C2×C4—41no—
1720C2×C4—41no—
1721C2×C4—41no—
1722C2×C4—41no—
1723C2×C4—41no—
1724C2×C4—41no—
1725C2×C4—41no—
1726C2×C4—41no—
1727C2×C4—41no—
1728C2×C4—41no—
1729C2×C4—41no—
1730C2×C4—41no—
1731C2×C4—41no—
1732C2×C4—41no—
1733C2×C4—41no—
1734C2×C4—41no—
1735C2×C4—41no—
1736C2×C4—41no—
1737C2×C4—41no—
1738C2×C4—41no—
1739C2×C4—41no—
1740C2×C4—41no—
1741C2×C4—41no—
1742C2×C4—41no—
1743C2×C4—41no—
1744C2×C4—41no—
1745C2×C4—41no—
1746C2×C4—41no—
1747C2×C4—41no—
1748C2×C4—41no—
1749C2×C4—41no—
1750C2×C4—41no—
1751C2×C4—41no—
1752C2×C4—41no—
1753C2×C4—41no—
1754C2×C4—41no—
1755C2×C4—41no—
1756C2×C4—41no—
1757C2×C4—41no—
1758C2×C4—41no—
1759C2×C4—41no—
1760C2×C4—41no—
1761C2×C4—41no—
1762C2×C4—41no—
1763C2×C4—41no—
1764C2×C4—41no—
1765C2×C4—41no—
1766C2×C4—41no—
1767C2×C4—41no—
1768C2×C4—41no—
1769C2×C4—41no—
1770C2×C4—41no—
1771C2×C4—41no—
1772C2×C4—41no—
1773C2×C4—41no—
1774C2×C4—41no—
1775C2×C4—41no—
1776C2×C4—41no—
1777C2×C4—41no—
1778C2×C4—41no—
1779C2×C4—41no—
1780C2×C4—41no—
1781C2×C4—41no—
1782C2×C4—41no—
1783C2×C4—41no—
1784C2×C4—41no—
1785C2×C4—41no—
1786C2×C4—41no—
1787C2×C4—41no—
1788C2×C4—41no—
1789C2×C4—41no—
1790C2×C4—41no—
1791C2×C4—41no—
1792C2×C4—41no—
1793C2×C4—41no—
1794C2×C4—41no—
1795C2×C4—41no—
1796C2×C4—41no—
1797C2×C4—41no—
1798C2×C4—41no—
1799C2×C4—41no—
1800C2×C4—88no—
1801C2×C4—88no—
1802C2×C4—88no—
1803C2×C4—88no—
1804C2×C4—88no—
1805C2×C4—88no—
1806C2×C4C2×C4×D414yes—
1807C2×C4C2×C4×D414yes—
1808C2×C4C2×C4×D414yes—
1809C2×C4C2×C4×D414yes—
1810C2×C4#51814yes—
1811C2×C4D4214yes—
1812C2×C4#54614yes—
1813C22—24no—
1814C22—24no—
1815C22—24no—
1816C22—24no—
1817C22—24no—
1818C22—24no—
1819C22—24no—
1820C22—24no—
1821C22—24no—
1822C22—42no—
1823C22—42no—
1824C22—42no—
1825C22—42no—
1826C22—42no—
1827C22—42no—
1828C22—42no—
1829C22—42no—
1830C22—42no—
1831C22—42no—
1832C22—42no—
1833C22—42no—
1834C22—42no—
1835C22—42no—
1836C22—42no—
1837C22—42no—
1838C22—42no—
1839C22—42no—
1840C22—42no—
1841C22—42no—
1842C22—42no—
1843C22—42no—
1844C22—42no—
1845C22—42no—
1846C22—42no—
1847C22—42no—
1848C22—42no—
1849C22—42no—
1850C22—42no—
1851C22—42no—
1852C22—42no—
1853C22—42no—
1854C22—42no—
1855C22—42no—
1856C22—42no—
1857C22—42no—
1858C22—42no—
1859C22—42no—
1860C22—42no—
1861C22—42no—
1862C22—42no—
1863C22—42no—
1864C22—42no—
1865C22—42no—
1866C22—42no—
1867C22—42no—
1868C22—42no—
1869C22—42no—
1870C22—42no—
1871C22—42no—
1872C22—832no—
1873C22—81no—
1874C22—81no—
1875C22—81no—
1876C22—81no—
1877C22—81no—
1878C22—81no—
1879C22—81no—
1880C22—81no—
1881C22—81no—
1882C22—81no—
1883C22—81no—
1884C22—81no—
1885C22—81no—
1886C22—81no—
1887C22—81no—
1888C22—81no—
1889C22C22×C4×D411yescharacteristic
1890C22C22×C4×D411yescharacteristic
1891C22C2×C4×#4111yescharacteristic
1892C22C2×#51811yescharacteristic
1893C22#342811yescharacteristic
1894C22C4×H(5,𝔽2)11yescharacteristic
1895C22C4×H(5,𝔽2)11yescharacteristic
1896C22C2×D4211yescharacteristic
1897C22C2×#54611yescharacteristic
1898C22D4×#4111yescharacteristic
1899C22D4×#4111yescharacteristic
1900C22D4×#4111yescharacteristic
1901C22D4×#4111yescharacteristic
1902C22D4×#4111yescharacteristic
1903C22#347511yescharacteristic
1904C22#347511yescharacteristic
1905C22#347511yescharacteristic
1906C22#348111yescharacteristic
1907C22#348111yescharacteristic
1908C22#348811yescharacteristic
1909C22#348811yescharacteristic
1910C22#349411yescharacteristic
1911C22#349411yescharacteristic
1912C22#349611yescharacteristic
1913C22#349811yescharacteristic
1914C22#350511yescharacteristic
1915C22#350811yescharacteristic
1916C22#351411yescharacteristic
1917C22#351411yescharacteristic
1918C22#351911yescharacteristic
1919C22#351911yescharacteristic
1920C22#355811yescharacteristic
1921C22#356011yescharacteristic
1922C22#356211yescharacteristic
1923C22#356611yescharacteristic
1924C4—24no—
1925C4—24no—
1926C4—24no—
1927C4—24no—
1928C4—24no—
1929C4—24no—
1930C4—24no—
1931C4—42no—
1932C4—42no—
1933C4—42no—
1934C4—42no—
1935C4—42no—
1936C4—42no—
1937C4—42no—
1938C4—42no—
1939C4—42no—
1940C4—42no—
1941C4—42no—
1942C4—42no—
1943C4—42no—
1944C4—81no—
1945C4—81no—
1946C4—81no—
1947C4—81no—
1948C4—81no—
1949C4—81no—
1950C2—44no—
1951C2—44no—
1952C2—44no—
1953C2—82no—
1954C2—82no—
1955C2#3413611yescharacteristic
1956C2C4×D4211yescharacteristic
1957C2C4×#54611yescharacteristic
1958C2#3420411yescharacteristic
1959C2#3431011yescharacteristic
1960C2#3432011yescharacteristic
1961C2#3445411yescharacteristic
1962C2#5909111yescharacteristic
1963C2#5909511yescharacteristic
1964C2#5912911yescharacteristic
1965C2#5916411yescharacteristic
1966C2#5983711yescharacteristic
1967C2#5983911yescharacteristic
1968C2#5998411yescharacteristic
1969C2#6001011yescharacteristic
subgroupG/H
center, Frattini, socle, cosocleC24C25
commutatorC23C24×C4
prime radicalC2×#2424C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C24 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
2. C2×#2363C2semidirect
3. C2×#2358C2semidirect
4. C2×#2342C2semidirect
5. C2×#2293C2semidirect
6. #14540C2semidirect
7. #14534C2semidirect
8. #14408C2semidirect
9. #14358C2semidirect
10. #14205C2semidirect
11. #14204C2semidirect
12. #14204C2semidirect
13. #14201C2semidirect
14. #14189C2semidirect
15. #14185C2semidirect
16. #14112C2semidirect
17. #14100C2semidirect
18. #14100C2semidirect
19. #14064C2semidirect
20. #14064C2semidirect
21. #14036C2semidirect
22. #14007C2semidirect
23. #13998C2semidirect
24. #13995C2semidirect
25. #13995C2semidirect
26. #13886C2semidirect
27. #13824C2semidirect
28. #13823C2semidirect
29. C22⋊C42C2semidirect
30. C4×#390C2semidirect
31. C4×#388C2semidirect
40. C22×#117C22semidirect
44. #2424C4semidirect
61. C2×#390C22semidirect
62. C2×#390C22semidirect
63. C2×#389C22semidirect
64. C2×#389C22semidirect
65. C2×#389C22semidirect
66. C2×#389C22semidirect
76. C2×#388C22semidirect
77. C2×#388C22semidirect
78. C2×#388C22semidirect
79. C2×#388C22semidirect
89. C2×#386C22semidirect
97. C2×#385C22semidirect
102. C2×C4×C4⋊C4C22semidirect
103. C2×C4×C4⋊C4C22semidirect
104. C2×C4×C4⋊C4C22semidirect
105. C2×C4×C4⋊C4C22semidirect
117. C2×C4×C22⋊C4C22semidirect
118. C2×C4×C22⋊C4C22semidirect
119. C2×C4×C22⋊C4C22semidirect
120. C2×C4×C22⋊C4C22semidirect
121. C2×C43C22semidirect
122. #1444C22semidirect
123. #1442C22semidirect
124. #1442C22semidirect
125. #1442C22semidirect
126. #1441C22semidirect
127. #1441C22semidirect
128. #1441C22semidirect
129. #1440C22semidirect
136. #1439C22semidirect
137. #1439C22semidirect
138. #1439C22semidirect
139. #1439C22semidirect
140. #1439C22semidirect
149. #1438C22semidirect
160. #1437C22semidirect
161. #1437C22semidirect
162. #1437C22semidirect
163. #1437C22semidirect
164. #1437C22semidirect
165. #1437C22semidirect
166. #1437C22semidirect
167. #1436C22semidirect
168. #1436C22semidirect
169. #1436C22semidirect
170. #1436C22semidirect
171. #1436C22semidirect
172. #1436C22semidirect
173. #1436C22semidirect
174. #1436C22semidirect
175. #1436C22semidirect
176. #1436C22semidirect
177. #1436C22semidirect
178. #1436C22semidirect
179. #1436C22semidirect
180. C4⋊#95C22semidirect
181. C4⋊#95C22semidirect
182. #1434C22semidirect
183. #1434C22semidirect
188. C22⋊#95C22semidirect
189. C4×#95C22semidirect
190. C4×#95C22semidirect
191. C4×#95C22semidirect
212. C2×#121C2×C4semidirect
213. C2×#121C2×C4semidirect
219. C2×#120C2×C4semidirect
228. C2×C4×D4C2×C4semidirect
260. C22×C22⋊C4C2×C4semidirect
329. #396C2×C4semidirect
330. #394C2×C4semidirect
331. #394C2×C4semidirect
332. #392C2×C4semidirect
342. #390C2×C4semidirect
357. #388C2×C4semidirect
358. #388D4semidirect
359. #388D4semidirect
368. #386C2×C4semidirect
369. #386C2×C4semidirect
377. #385C2×C4semidirect
1392. C22⋊C4C4×D4semidirect

Maximal subgroups

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

subgroupindex
C2×#24242
C2×#23632
C2×#23582
C2×#23422
C2×#22932
#145402
#145342
#144082
#143582
#142052
#142042
#142012
#141892
#141852
#141122
#141002
#140642
#140362
#140072
#139982
#139952
#138862
#138242
#138232
C22⋊C422
C4×#3902
C4×#3882