Finite Group Databasebeta

← #532562

Subgroups — #532562

Order 512.

4332 conjugacy classes of subgroups.

The subgroup lattice has 1868 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2418C211yesmaximal, characteristic
2C2×#2359C211yesmaximal, characteristic, complemented
3C2×#2358C211yesmaximal, characteristic
4C2×#2290C211yesmaximal, characteristic, complemented
5C22×#388C211yesmaximal, characteristic, complemented
6#14571C211yesmaximal, characteristic, complemented
7#14541C211yesmaximal, characteristic, complemented
8#14529C211yesmaximal, characteristic, complemented
9#14527C211yesmaximal, characteristic, complemented
10#14231C211yesmaximal, characteristic, complemented
11#14209C211yesmaximal, characteristic, complemented
12#14205C211yesmaximal, characteristic, complemented
13#14176C211yesmaximal, characteristic, complemented
14#14146C211yesmaximal, characteristic, complemented
15#14140C211yesmaximal, characteristic, complemented
16#14131C211yesmaximal, characteristic, complemented
17#14130C211yesmaximal, characteristic, complemented
18#14127C211yesmaximal, characteristic, complemented
19#14112C211yesmaximal, characteristic, complemented
20#14096C211yesmaximal, characteristic, complemented
21#14079C211yesmaximal, characteristic, complemented
22#14071C211yesmaximal, characteristic, complemented
23#14047C211yesmaximal, characteristic, complemented
24#14015C211yesmaximal, characteristic, complemented
25#13971C211yesmaximal, characteristic, complemented
26#13967C211yesmaximal, characteristic
27#13816C211yesmaximal, characteristic, complemented
28#13813C211yesmaximal, characteristic, complemented
29D4×#95C211yesmaximal, characteristic, complemented
30C22⋊C42C211yesmaximal, characteristic, complemented
31C4×#385C211yesmaximal, characteristic, complemented
32C22×#123C2211yescharacteristic
33C22×#120C2211yescharacteristic
34C22×C4×D4C2211yescharacteristic
35C22×C4×D4C2211yescharacteristic
36C22×C4×D4C2211yescharacteristic
37C22×C4×D4C2211yescharacteristic
38C22×#117C2211yescharacteristic, complemented
39C23×C4⋊C4C2211yescharacteristic
40C23×C22⋊C4C2211yescharacteristic
41C23×C22⋊C4C2211yescharacteristic
42C23×C22⋊C4C2211yescharacteristic
43C23×C22⋊C4C2211yescharacteristic
44C23×C42C2211yescharacteristic
45#2418C4116yescomplemented
46C2×#399C2211yescharacteristic
47C2×#397C2211yescharacteristic
48C2×#394C2211yescharacteristic
49C2×#394C2211yescharacteristic
50#2359—28no—
51#2358—28no—
52C2×#390C2211yescharacteristic
53C2×#389C2211yescharacteristic, complemented
54C2×#389C2211yescharacteristic, complemented
55#2290—28no—
56C2×#388—28no—
57C2×#388C2211yescharacteristic
58C2×#388C2211yescharacteristic
59C2×#388C2211yescharacteristic
60C2×#388C2211yescharacteristic
61C2×#388C2211yescharacteristic
62C2×#388C2211yescharacteristic
63C2×#388C2211yescharacteristic
64C2×#388C2211yescharacteristic
65C2×#388C2211yescharacteristic
66C2×#388C2211yescharacteristic
67C2×#388C2211yescharacteristic
68C2×#388C2211yescharacteristic
69C2×#388C2211yescharacteristic
70C2×#388C2211yescharacteristic
71C2×#388C2211yescharacteristic, complemented
72C2×#388C2211yescharacteristic, complemented
73C2×#387C2211yescharacteristic, complemented
74C2×#387C2211yescharacteristic, complemented
75C2×#387C2211yescharacteristic, complemented
76C2×#387C2211yescharacteristic, complemented
77C2×#386C2211yescharacteristic
78C2×#386C2211yescharacteristic
79C2×#386C2211yescharacteristic
80C2×#386C2211yescharacteristic
81C2×#386C2211yescharacteristic
82C2×#386C2211yescharacteristic
83C2×#386C2211yescharacteristic
84C2×#386C2211yescharacteristic
85C2×#385C2211yescharacteristic
86C2×#385C2211yescharacteristic
87C2×#385C2211yescharacteristic
88C2×#385C2211yescharacteristic
89C2×#385C2211yescharacteristic
90C2×#385C2211yescharacteristic
91C2×#385C2211yescharacteristic
92C2×#385C2211yescharacteristic
93C2×#385C2211yescharacteristic, complemented
94C2×#385C2211yescharacteristic, complemented
95C2×#380C2211yescharacteristic
96C2×#379C2211yescharacteristic
97C2×#379C2211yescharacteristic
98C2×C4×C4⋊C4C2211yescharacteristic, complemented
99C2×C4×C4⋊C4C2211yescharacteristic, complemented
100C2×C4×C4⋊C4C2211yescharacteristic, complemented
101C2×C4×C22⋊C4C2211yescharacteristic
102C2×C4×C22⋊C4C2211yescharacteristic
103C2×C4×C22⋊C4C2211yescharacteristic
104C2×C4×C22⋊C4C2211yescharacteristic
105C2×C4×C22⋊C4C2211yescharacteristic
106C2×C4×C22⋊C4C2211yescharacteristic
107C2×C4×C22⋊C4C2211yescharacteristic
108C2×C4×C22⋊C4C2211yescharacteristic, complemented
109C2×C4×C22⋊C4C2211yescharacteristic, complemented
110C2×#376C2211yescharacteristic, complemented
111C22×#95C2211yescharacteristic
112C22×#95C2211yescharacteristic
113C22×#95C2211yescharacteristic, complemented
114#1445C2211yescharacteristic, complemented
115#1445C2211yescharacteristic, complemented
116#1444C2211yescharacteristic, complemented
117#1444C2211yescharacteristic, complemented
118#1444C2211yescharacteristic, complemented
119#1444C2211yescharacteristic, complemented
120#1443C2211yescharacteristic, complemented
121#1443C2211yescharacteristic, complemented
122#1442C2211yescharacteristic, complemented
123#1442C2211yescharacteristic, complemented
124#1442C2211yescharacteristic, complemented
125#1442C2211yescharacteristic, complemented
126#1441C2211yescharacteristic, complemented
127#1441C2211yescharacteristic, complemented
128#1440C2211yescharacteristic
129#1440C2211yescharacteristic
130#1439C2211yescharacteristic
131#1439C2211yescharacteristic
132#1439C2211yescharacteristic
133#1439C2211yescharacteristic
134#1439C2211yescharacteristic
135#1439C2211yescharacteristic
136#1439C2211yescharacteristic
137#1439C2211yescharacteristic
138#1439C2211yescharacteristic, complemented
139#1439C2211yescharacteristic, complemented
140#1438C2211yescharacteristic
141#1438C2211yescharacteristic
142#1437C2211yescharacteristic
143#1437C2211yescharacteristic
144#1437C2211yescharacteristic
145#1437C2211yescharacteristic
146#1437C2211yescharacteristic
147#1437C2211yescharacteristic
148#1437C2211yescharacteristic
149#1437C2211yescharacteristic
150#1437C2211yescharacteristic, complemented
151#1437C2211yescharacteristic, complemented
152#1436C2211yescharacteristic, complemented
153#1436C2211yescharacteristic, complemented
154#1436C2211yescharacteristic, complemented
155#1436C2211yescharacteristic, complemented
156#1436C2211yescharacteristic, complemented
157#1436C2211yescharacteristic, complemented
158#1436C2211yescharacteristic, complemented
159#1436C2211yescharacteristic, complemented
160#1436C2211yescharacteristic, complemented
161#1436C2211yescharacteristic, complemented
162#1436C2211yescharacteristic, complemented
163#1436C2211yescharacteristic, complemented
164C4⋊#95C2211yescharacteristic, complemented
165C4⋊#95C2211yescharacteristic, complemented
166C4⋊#95C2211yescharacteristic, complemented
167C4⋊#95C2211yescharacteristic, complemented
168C4⋊#95C2211yescharacteristic, complemented
169#1434C2211yescharacteristic, complemented
170#1434C2211yescharacteristic, complemented
171#1434C2211yescharacteristic, complemented
172C22⋊#95C2211yescharacteristic
173C22⋊#95C2211yescharacteristic
174C22⋊#95C2211yescharacteristic
175C22⋊#95C2211yescharacteristic
176C22⋊#95C2211yescharacteristic
177C22⋊#95C2211yescharacteristic
178C22⋊#95C2211yescharacteristic
179C22⋊#95C2211yescharacteristic
180C22⋊#95C2211yescharacteristic
181C22⋊#95C2211yescharacteristic
182C22⋊#95C2211yescharacteristic
183C22⋊#95C2211yescharacteristic
184C22⋊#95C2211yescharacteristic, complemented
185C22⋊#95C2211yescharacteristic, complemented
186C22⋊#95C2211yescharacteristic, complemented
187C22⋊#95C2211yescharacteristic, complemented
188C4×#95C2211yescharacteristic, complemented
189C4×#95C2211yescharacteristic, complemented
190C4×#95C2211yescharacteristic, complemented
191C4×#95C2211yescharacteristic, complemented
192C26C2311yescharacteristic
193C23×D4C2311yescharacteristic
194C23×D4C2311yescharacteristic
195C23×D4C2311yescharacteristic
196C24×C4C2311yescharacteristic
197C24×C4C2311yescharacteristic
198C24×C4C2311yescharacteristic
199C24×C4C2311yescharacteristic
200C24×C4C2311yescharacteristic
201C24×C4C2311yescharacteristic
202C24×C4C2311yescharacteristic
203C24×C4C2311yescharacteristic
204C24×C4C2311yescharacteristic
205C24×C4C2311yescharacteristic
206C24×C4C2311yescharacteristic
207C2×#123—24no—
208C2×#123—24no—
209C2×#123C2×C418yescomplemented
210C2×#120—24no—
211C2×#120—24no—
212C2×#120C2×C418yes—
213C2×C4×D4—24no—
214C2×C4×D4—24no—
215C2×C4×D4—24no—
216C2×C4×D4—24no—
217C2×C4×D4—24no—
218C2×C4×D4—24no—
219C2×C4×D4—24no—
220C2×C4×D4—24no—
221C2×C4×D4—42no—
222C2×C4×D4—42no—
223C2×C4×D4—42no—
224C2×C4×D4C2×C418yescomplemented
225C2×#117—24no—
226C2×#117—24no—
227C2×#117—42no—
228C22×C4⋊C4—24no—
229C22×C4⋊C4—42no—
230C22×C4⋊C4—42no—
231C22×C4⋊C4C2311yescharacteristic
232C22×C4⋊C4C2311yescharacteristic
233C22×C4⋊C4C2311yescharacteristic
234C22×C4⋊C4C2311yescharacteristic
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×C22⋊C4—24no—
251C22×C22⋊C4—24no—
252C22×C22⋊C4—24no—
253C22×C22⋊C4—24no—
254C22×C22⋊C4—24no—
255C22×C22⋊C4—24no—
256C22×C22⋊C4—24no—
257C22×C22⋊C4—42no—
258C22×C22⋊C4—42no—
259C22×C22⋊C4—42no—
260C22×C22⋊C4—42no—
261C22×C22⋊C4C2×C418yescomplemented
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×C42—24no—
303C22×C42—24no—
304C22×C42—42no—
305C22×C42C2311yescharacteristic
306C22×C42C2311yescharacteristic
307C22×C42C2311yescharacteristic
308C22×C42C2311yescharacteristic
309C22×C42C2311yescharacteristic
310C22×C42C2311yescharacteristic
311C22×C42C2311yescharacteristic
312C22×C42C2311yescharacteristic
313C22×C42C2311yescharacteristic
314C22×C42C2311yescharacteristic
315C22×C42C2311yescharacteristic
316C22×C42C2311yescharacteristic
317C22×C42C2311yescharacteristic
318C22×C42C2311yescharacteristic
319C22×C42C2311yescharacteristic
320#399C2×C418yescomplemented
321#397C2×C418yescomplemented
322#394C2×C418yescomplemented
323#394C2×C418yescomplemented
324#390—24no—
325#389—24no—
326#389—42no—
327#388—24no—
328#388—24no—
329#388—24no—
330#388—24no—
331#388—24no—
332#388—24no—
333#388—24no—
334#388—24no—
335#388—24no—
336#388—24no—
337#388—24no—
338#388—24no—
339#388—42no—
340#388C2×C418yescomplemented
341#388C2×C418yescomplemented
342#388D418yescomplemented
343#387—24no—
344#387—24no—
345#387—24no—
346#387—24no—
347#386—24no—
348#386—24no—
349#386—24no—
350#386—24no—
351#386—42no—
352#386C2×C418yescomplemented
353#386C2×C418yescomplemented
354#386D418yes—
355#385—24no—
356#385—24no—
357#385—24no—
358#385—24no—
359#385—24no—
360#385—24no—
361#385—24no—
362#385—42no—
363#385—42no—
364#385C2×C418yescomplemented
365#380C2×C418yescomplemented
366#379—24no—
367#379C2×C418yescomplemented
368C4×C4⋊C4—24no—
369C4×C4⋊C4—24no—
370C4×C4⋊C4—42no—
371C4×C22⋊C4—24no—
372C4×C22⋊C4—24no—
373C4×C22⋊C4—24no—
374C4×C22⋊C4—24no—
375C4×C22⋊C4—24no—
376C4×C22⋊C4—24no—
377C4×C22⋊C4—24no—
378C4×C22⋊C4—24no—
379C4×C22⋊C4—42no—
380#376—24no—
381C2×#95—24no—
382C2×#95—24no—
383C2×#95—24no—
384C2×#95C2311yescharacteristic
385C2×#95C2311yescharacteristic
386C2×#95C2311yescharacteristic
387C2×#95C2311yescharacteristic
388C2×#95C2311yescharacteristic
389C2×#95C2311yescharacteristic
390C2×#95C2311yescharacteristic
391C2×#95C2311yescharacteristic
392C2×#95C2311yescharacteristic
393C2×#95C2311yescharacteristic
394C2×#95C2311yescharacteristic
395C2×#95C2311yescharacteristic
396C2×#95C2311yescharacteristic
397C2×#95C2311yescharacteristic
398C2×#95C2311yescharacteristic
399C2×#95C2311yescharacteristic
400C2×#95C2311yescharacteristic
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
450C25—22no—
451C25—22no—
452C25—22no—
453C25—22no—
454C25—22no—
455C25—22no—
456C25—22no—
457C25—22no—
458C25—41no—
459C25—41no—
460C25—41no—
461C25—41no—
462C25—41no—
463C25—41no—
464C25C22×C414yes—
465C25C2411yescharacteristic
466C25C2411yescharacteristic
467C25C2411yescharacteristic
468C25C2411yescharacteristic
469C22×D4—22no—
470C22×D4—22no—
471C22×D4—22no—
472C22×D4—22no—
473C22×D4—22no—
474C22×D4—22no—
475C22×D4—22no—
476C22×D4—22no—
477C22×D4—22no—
478C22×D4—22no—
479C22×D4—41no—
480C22×D4—41no—
481C22×D4—41no—
482C22×D4—41no—
483C22×D4—41no—
484C22×D4—41no—
485C22×D4C22×C414yes—
486C22×D4C22×C414yes—
487C22×D4C22×C414yes—
488C22×D4C2×D414yes—
489C22×D4#4114yes—
490C23×C4—22no—
491C23×C4—22no—
492C23×C4—22no—
493C23×C4—22no—
494C23×C4—22no—
495C23×C4—22no—
496C23×C4—22no—
497C23×C4—22no—
498C23×C4—22no—
499C23×C4—22no—
500C23×C4—22no—
501C23×C4—22no—
502C23×C4—22no—
503C23×C4—22no—
504C23×C4—22no—
505C23×C4—22no—
506C23×C4—22no—
507C23×C4—22no—
508C23×C4—22no—
509C23×C4—22no—
510C23×C4—22no—
511C23×C4—22no—
512C23×C4—22no—
513C23×C4—22no—
514C23×C4—22no—
515C23×C4—22no—
516C23×C4—22no—
517C23×C4—22no—
518C23×C4—22no—
519C23×C4—22no—
520C23×C4—22no—
521C23×C4—22no—
522C23×C4—22no—
523C23×C4—22no—
524C23×C4—22no—
525C23×C4—22no—
526C23×C4—22no—
527C23×C4—22no—
528C23×C4—22no—
529C23×C4—22no—
530C23×C4—22no—
531C23×C4—41no—
532C23×C4—41no—
533C23×C4—41no—
534C23×C4—41no—
535C23×C4—41no—
536C23×C4—41no—
537C23×C4—41no—
538C23×C4—41no—
539C23×C4—41no—
540C23×C4—41no—
541C23×C4—41no—
542C23×C4—41no—
543C23×C4—41no—
544C23×C4—41no—
545C23×C4—41no—
546C23×C4—41no—
547C23×C4—41no—
548C23×C4—41no—
549C23×C4—41no—
550C23×C4—41no—
551C23×C4—41no—
552C23×C4—41no—
553C23×C4—41no—
554C23×C4—41no—
555C23×C4—41no—
556C23×C4—41no—
557C23×C4—41no—
558C23×C4—41no—
559C23×C4—41no—
560C23×C4—41no—
561C23×C4—41no—
562C23×C4—41no—
563C23×C4C22×C414yes—
564C23×C4C22×C414yes—
565C23×C4C22×C414yes—
566C23×C4C2×D414yes—
567C23×C4C2411yescharacteristic
568C23×C4C2411yescharacteristic
569C23×C4C2411yescharacteristic
570C23×C4C2411yescharacteristic
571C23×C4C2411yescharacteristic
572C23×C4C2411yescharacteristic
573C23×C4C2411yescharacteristic
574C23×C4C2411yescharacteristic
575C23×C4C2411yescharacteristic
576C23×C4C2411yescharacteristic
577C23×C4C2411yescharacteristic
578C23×C4C2411yescharacteristic
579C23×C4C2411yescharacteristic
580C23×C4C2411yescharacteristic
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
594#123—232no—
595#120—232no—
596C4×D4—232no—
597C4×D4—416no—
598C4×D4—416no—
599C4×D4—416no—
600#117—416no—
601C2×C4⋊C4—22no—
602C2×C4⋊C4—22no—
603C2×C4⋊C4—22no—
604C2×C4⋊C4—22no—
605C2×C4⋊C4—22no—
606C2×C4⋊C4—22no—
607C2×C4⋊C4—22no—
608C2×C4⋊C4—22no—
609C2×C4⋊C4—22no—
610C2×C4⋊C4—22no—
611C2×C4⋊C4—22no—
612C2×C4⋊C4—22no—
613C2×C4⋊C4—22no—
614C2×C4⋊C4—22no—
615C2×C4⋊C4—22no—
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—41no—
632C2×C4⋊C4—41no—
633C2×C4⋊C4—41no—
634C2×C4⋊C4—41no—
635C2×C4⋊C4—41no—
636C2×C4⋊C4—41no—
637C2×C4⋊C4—41no—
638C2×C4⋊C4—41no—
639C2×C4⋊C4—41no—
640C2×C4⋊C4—41no—
641C2×C4⋊C4—41no—
642C2×C4⋊C4—41no—
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—416no—
651C2×C4⋊C4—41no—
652C2×C4⋊C4—41no—
653C2×C4⋊C4C22×C414yes—
654C2×C4⋊C4C22×C414yes—
655C2×C4⋊C4C22×C414yes—
656C2×C4⋊C4C22×C414yes—
657C2×C4⋊C4C22×C414yes—
658C2×C4⋊C4C2×D414yes—
659C2×C22⋊C4—22no—
660C2×C22⋊C4—22no—
661C2×C22⋊C4—22no—
662C2×C22⋊C4—22no—
663C2×C22⋊C4—22no—
664C2×C22⋊C4—22no—
665C2×C22⋊C4—22no—
666C2×C22⋊C4—22no—
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—232no—
692C2×C22⋊C4—22no—
693C2×C22⋊C4—22no—
694C2×C22⋊C4—22no—
695C2×C22⋊C4—22no—
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—416no—
726C2×C22⋊C4—416no—
727C2×C22⋊C4—41no—
728C2×C22⋊C4—41no—
729C2×C22⋊C4—41no—
730C2×C22⋊C4—41no—
731C2×C22⋊C4—41no—
732C2×C22⋊C4—41no—
733C2×C22⋊C4—41no—
734C2×C22⋊C4—41no—
735C2×C22⋊C4—41no—
736C2×C22⋊C4—41no—
737C2×C22⋊C4—41no—
738C2×C22⋊C4—41no—
739C2×C22⋊C4—41no—
740C2×C22⋊C4—41no—
741C2×C22⋊C4—41no—
742C2×C22⋊C4—41no—
743C2×C22⋊C4—41no—
744C2×C22⋊C4—41no—
745C2×C22⋊C4—41no—
746C2×C22⋊C4—41no—
747C2×C22⋊C4—41no—
748C2×C22⋊C4—41no—
749C2×C22⋊C4—41no—
750C2×C22⋊C4—41no—
751C2×C22⋊C4—41no—
752C2×C22⋊C4—41no—
753C2×C22⋊C4—416no—
754C2×C22⋊C4—41no—
755C2×C22⋊C4—41no—
756C2×C22⋊C4—41no—
757C2×C22⋊C4—41no—
758C2×C22⋊C4C22×C414yes—
759C2×C22⋊C4C22×C414yes—
760C2×C22⋊C4C22×C414yes—
761C2×C22⋊C4C22×C414yes—
762C2×C22⋊C4C22×C414yes—
763C2×C22⋊C4C22×C414yes—
764C2×C22⋊C4C22×C414yes—
765C2×C22⋊C4C22×C414yes—
766C2×C22⋊C4C22×C414yes—
767C2×C22⋊C4C22×C414yes—
768C2×C22⋊C4C22×C414yes—
769C2×C22⋊C4C22×C414yes—
770C2×C22⋊C4C22×C414yes—
771C2×C22⋊C4C22×C414yes—
772C2×C22⋊C4C22×C414yes—
773C2×C22⋊C4C22×C414yes—
774C2×C22⋊C4C2×D414yes—
775C2×C22⋊C4C2×D414yes—
776C2×C22⋊C4C2×D414yes—
777C2×C22⋊C4C2×D414yes—
778C2×C22⋊C4C2×D414yes—
779C2×C22⋊C4C2×D414yes—
780C2×C22⋊C4#4114yes—
781C2×C22⋊C4#4114yes—
782C2×C22⋊C4#4114yes—
783C2×C42—22no—
784C2×C42—22no—
785C2×C42—22no—
786C2×C42—22no—
787C2×C42—22no—
788C2×C42—22no—
789C2×C42—22no—
790C2×C42—22no—
791C2×C42—22no—
792C2×C42—22no—
793C2×C42—22no—
794C2×C42—22no—
795C2×C42—22no—
796C2×C42—22no—
797C2×C42—22no—
798C2×C42—22no—
799C2×C42—22no—
800C2×C42—22no—
801C2×C42—22no—
802C2×C42—22no—
803C2×C42—22no—
804C2×C42—22no—
805C2×C42—22no—
806C2×C42—22no—
807C2×C42—22no—
808C2×C42—22no—
809C2×C42—22no—
810C2×C42—22no—
811C2×C42—22no—
812C2×C42—416no—
813C2×C42—41no—
814C2×C42—41no—
815C2×C42—41no—
816C2×C42—41no—
817C2×C42—41no—
818C2×C42—41no—
819C2×C42—41no—
820C2×C42—41no—
821C2×C42—41no—
822C2×C42—41no—
823C2×C42—41no—
824C2×C42—41no—
825C2×C42—41no—
826C2×C42—41no—
827C2×C42C22×C414yes—
828C2×C42C2×D414yes—
829#95—22no—
830#95—22no—
831#95—22no—
832#95—22no—
833#95—22no—
834#95—22no—
835#95—22no—
836#95—22no—
837#95—22no—
838#95—22no—
839#95—22no—
840#95—22no—
841#95—22no—
842#95—22no—
843#95—22no—
844#95—22no—
845#95—22no—
846#95—22no—
847#95—22no—
848#95—22no—
849#95—22no—
850#95—22no—
851#95—22no—
852#95—22no—
853#95—22no—
854#95—22no—
855#95—22no—
856#95—22no—
857#95—22no—
858#95—22no—
859#95—22no—
860#95—22no—
861#95—22no—
862#95—41no—
863#95—41no—
864#95—41no—
865#95—41no—
866#95—41no—
867#95—41no—
868#95—41no—
869#95—41no—
870#95—41no—
871#95—41no—
872#95—41no—
873#95—41no—
874#95—41no—
875#95—41no—
876#95—41no—
877#95—41no—
878#95—41no—
879#95—41no—
880#95—41no—
881#95—41no—
882#95—41no—
883#95—41no—
884#95—41no—
885#95C22×C414yes—
886#95C22×C414yes—
887#95C22×C414yes—
888#95C22×C414yes—
889#95C22×C414yes—
890#95C22×C414yes—
891#95C2×D414yes—
892#95C2×D414yes—
893#95C2×D414yes—
894#95C2×D414yes—
895C24—21no—
896C24—21no—
897C24—21no—
898C24—21no—
899C24—21no—
900C24—21no—
901C24—21no—
902C24—21no—
903C24—21no—
904C24—21no—
905C24—21no—
906C24—21no—
907C24—21no—
908C24—21no—
909C24—21no—
910C24—21no—
911C24—21no—
912C24—21no—
913C24—21no—
914C24—21no—
915C24—21no—
916C24—21no—
917C24—21no—
918C24—21no—
919C24—21no—
920C24—21no—
921C24—21no—
922C24—21no—
923C24—21no—
924C24—21no—
925C24—21no—
926C24—21no—
927C24—28no—
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—28no—
943C24—28no—
944C24—28no—
945C24—44no—
946C24—44no—
947C24—44no—
948C24—44no—
949C24—44no—
950C24—44no—
951C24—44no—
952C24—44no—
953C24—44no—
954C24—44no—
955C24—44no—
956C24—44no—
957C24—44no—
958C24—44no—
959C24—44no—
960C24—44no—
961C24—44no—
962C24—44no—
963C24—44no—
964C24—82no—
965C24—82no—
966C24—82no—
967C24—82no—
968C24—82no—
969C24—82no—
970C24—82no—
971C24—82no—
972C24—82no—
973C24—82no—
974C24—82no—
975C24—82no—
976C24C23×C412yes—
977C24C23×C412yes—
978C24C23×C412yes—
979C24C23×C412yes—
980C24C22×D412yes—
981C24C22×D412yes—
982C24C22×D412yes—
983C24C2×#4112yes—
984C24C2×#4112yes—
985C24C2×#4112yes—
986C24C2×#4112yes—
987C24C2×#4112yes—
988C24H(5,𝔽2)12yes—
989C242−1+412yes—
990C24C2511yescharacteristic
991C2×D4—28no—
992C2×D4—28no—
993C2×D4—28no—
994C2×D4—28no—
995C2×D4—28no—
996C2×D4—28no—
997C2×D4—28no—
998C2×D4—28no—
999C2×D4—28no—
1000C2×D4—44no—
1001C2×D4—44no—
1002C2×D4—44no—
1003C2×D4—44no—
1004C2×D4—44no—
1005C2×D4—44no—
1006C2×D4—44no—
1007C2×D4—82no—
1008C2×D4—82no—
1009C2×D4—82no—
1010C2×D4—82no—
1011C2×D4C4×D4116yes—
1012C22×C4—21no—
1013C22×C4—21no—
1014C22×C4—21no—
1015C22×C4—21no—
1016C22×C4—21no—
1017C22×C4—21no—
1018C22×C4—21no—
1019C22×C4—21no—
1020C22×C4—21no—
1021C22×C4—21no—
1022C22×C4—21no—
1023C22×C4—21no—
1024C22×C4—21no—
1025C22×C4—21no—
1026C22×C4—21no—
1027C22×C4—21no—
1028C22×C4—28no—
1029C22×C4—28no—
1030C22×C4—28no—
1031C22×C4—28no—
1032C22×C4—28no—
1033C22×C4—21no—
1034C22×C4—21no—
1035C22×C4—21no—
1036C22×C4—21no—
1037C22×C4—21no—
1038C22×C4—21no—
1039C22×C4—21no—
1040C22×C4—21no—
1041C22×C4—21no—
1042C22×C4—21no—
1043C22×C4—21no—
1044C22×C4—21no—
1045C22×C4—21no—
1046C22×C4—21no—
1047C22×C4—21no—
1048C22×C4—21no—
1049C22×C4—21no—
1050C22×C4—21no—
1051C22×C4—21no—
1052C22×C4—21no—
1053C22×C4—21no—
1054C22×C4—21no—
1055C22×C4—21no—
1056C22×C4—21no—
1057C22×C4—21no—
1058C22×C4—21no—
1059C22×C4—21no—
1060C22×C4—21no—
1061C22×C4—21no—
1062C22×C4—21no—
1063C22×C4—21no—
1064C22×C4—21no—
1065C22×C4—21no—
1066C22×C4—21no—
1067C22×C4—21no—
1068C22×C4—21no—
1069C22×C4—21no—
1070C22×C4—21no—
1071C22×C4—21no—
1072C22×C4—21no—
1073C22×C4—21no—
1074C22×C4—21no—
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—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—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—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—28no—
1148C22×C4—28no—
1149C22×C4—28no—
1150C22×C4—28no—
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—44no—
1180C22×C4—44no—
1181C22×C4—44no—
1182C22×C4—44no—
1183C22×C4—44no—
1184C22×C4—44no—
1185C22×C4—44no—
1186C22×C4—44no—
1187C22×C4—44no—
1188C22×C4—44no—
1189C22×C4—44no—
1190C22×C4—44no—
1191C22×C4—44no—
1192C22×C4—44no—
1193C22×C4—44no—
1194C22×C4—44no—
1195C22×C4—44no—
1196C22×C4—44no—
1197C22×C4—44no—
1198C22×C4—44no—
1199C22×C4—44no—
1200C22×C4—44no—
1201C22×C4—44no—
1202C22×C4—44no—
1203C22×C4—44no—
1204C22×C4—44no—
1205C22×C4—44no—
1206C22×C4—44no—
1207C22×C4—44no—
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—44no—
1217C22×C4—44no—
1218C22×C4—44no—
1219C22×C4—44no—
1220C22×C4—44no—
1221C22×C4—44no—
1222C22×C4—44no—
1223C22×C4—44no—
1224C22×C4—44no—
1225C22×C4—82no—
1226C22×C4—82no—
1227C22×C4—82no—
1228C22×C4—82no—
1229C22×C4—82no—
1230C22×C4—82no—
1231C22×C4—82no—
1232C22×C4—82no—
1233C22×C4—82no—
1234C22×C4—82no—
1235C22×C4—82no—
1236C22×C4—82no—
1237C22×C4—82no—
1238C22×C4—82no—
1239C22×C4—82no—
1240C22×C4—82no—
1241C22×C4—82no—
1242C22×C4—82no—
1243C22×C4—82no—
1244C22×C4—82no—
1245C22×C4—82no—
1246C22×C4—82no—
1247C22×C4C23×C412yes—
1248C22×C4C23×C412yes—
1249C22×C4C23×C412yes—
1250C22×C4C23×C412yes—
1251C22×C4C23×C412yes—
1252C22×C4C23×C412yes—
1253C22×C4C23×C412yes—
1254C22×C4C23×C412yes—
1255C22×C4C23×C412yes—
1256C22×C4C23×C412yes—
1257C22×C4C23×C412yes—
1258C22×C4C22×D412yes—
1259C22×C4C22×D412yes—
1260C22×C4C22×D412yes—
1261C22×C4C22×D412yes—
1262C22×C4C22×D412yes—
1263C22×C4C22×D412yes—
1264C22×C4C22×D412yes—
1265C22×C4C22×D412yes—
1266C22×C4C22×D412yes—
1267C22×C4C22×D412yes—
1268C22×C4C22×D412yes—
1269C22×C4C2×#4112yes—
1270C22×C4C2×#4112yes—
1271C22×C4C2×#4112yes—
1272C22×C4C2×#4112yes—
1273C22×C4C2×#4112yes—
1274C22×C4C2×#4112yes—
1275C22×C4C2×#4112yes—
1276C22×C4H(5,𝔽2)12yes—
1277C22×C4H(5,𝔽2)12yes—
1278C4⋊C4—28no—
1279C4⋊C4—28no—
1280C4⋊C4—28no—
1281C4⋊C4—44no—
1282C4⋊C4—44no—
1283C4⋊C4—44no—
1284C4⋊C4—44no—
1285C4⋊C4—44no—
1286C4⋊C4—44no—
1287C4⋊C4—44no—
1288C4⋊C4—44no—
1289C4⋊C4—44no—
1290C4⋊C4—44no—
1291C4⋊C4—44no—
1292C4⋊C4—44no—
1293C4⋊C4—44no—
1294C4⋊C4—44no—
1295C4⋊C4—44no—
1296C4⋊C4—82no—
1297C22⋊C4—28no—
1298C22⋊C4—28no—
1299C22⋊C4—28no—
1300C22⋊C4—28no—
1301C22⋊C4—28no—
1302C22⋊C4—28no—
1303C22⋊C4—28no—
1304C22⋊C4—28no—
1305C22⋊C4—28no—
1306C22⋊C4—28no—
1307C22⋊C4—28no—
1308C22⋊C4—28no—
1309C22⋊C4—28no—
1310C22⋊C4—28no—
1311C22⋊C4—28no—
1312C22⋊C4—28no—
1313C22⋊C4—44no—
1314C22⋊C4—44no—
1315C22⋊C4—44no—
1316C22⋊C4—44no—
1317C22⋊C4—44no—
1318C22⋊C4—44no—
1319C22⋊C4—44no—
1320C22⋊C4—44no—
1321C22⋊C4—44no—
1322C22⋊C4—44no—
1323C22⋊C4—44no—
1324C22⋊C4—44no—
1325C22⋊C4—44no—
1326C22⋊C4—44no—
1327C22⋊C4—44no—
1328C22⋊C4—44no—
1329C22⋊C4—44no—
1330C22⋊C4—44no—
1331C22⋊C4—44no—
1332C22⋊C4—44no—
1333C22⋊C4—44no—
1334C22⋊C4—82no—
1335C22⋊C4—82no—
1336C22⋊C4C4×D4116yescomplemented
1337C42—28no—
1338C42—28no—
1339C42—44no—
1340C42—44no—
1341C42—44no—
1342C42—44no—
1343C42—44no—
1344C42—44no—
1345C42—44no—
1346C42—44no—
1347C42—44no—
1348C42—44no—
1349C42—82no—
1350C42—82no—
1351C42—82no—
1352C23—22no—
1353C23—22no—
1354C23—22no—
1355C23—22no—
1356C23—22no—
1357C23—22no—
1358C23—22no—
1359C23—22no—
1360C23—22no—
1361C23—22no—
1362C23—22no—
1363C23—22no—
1364C23—22no—
1365C23—22no—
1366C23—22no—
1367C23—22no—
1368C23—22no—
1369C23—22no—
1370C23—22no—
1371C23—22no—
1372C23—22no—
1373C23—22no—
1374C23—22no—
1375C23—22no—
1376C23—22no—
1377C23—22no—
1378C23—22no—
1379C23—22no—
1380C23—22no—
1381C23—22no—
1382C23—22no—
1383C23—22no—
1384C23—22no—
1385C23—22no—
1386C23—22no—
1387C23—22no—
1388C23—22no—
1389C23—22no—
1390C23—22no—
1391C23—22no—
1392C23—22no—
1393C23—22no—
1394C23—22no—
1395C23—22no—
1396C23—22no—
1397C23—22no—
1398C23—22no—
1399C23—22no—
1400C23—22no—
1401C23—22no—
1402C23—22no—
1403C23—22no—
1404C23—22no—
1405C23—22no—
1406C23—22no—
1407C23—22no—
1408C23—22no—
1409C23—22no—
1410C23—22no—
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—416no—
1424C23—416no—
1425C23—416no—
1426C23—41no—
1427C23—41no—
1428C23—41no—
1429C23—41no—
1430C23—41no—
1431C23—41no—
1432C23—41no—
1433C23—41no—
1434C23—41no—
1435C23—41no—
1436C23—41no—
1437C23—41no—
1438C23—41no—
1439C23—41no—
1440C23—41no—
1441C23—41no—
1442C23—41no—
1443C23—41no—
1444C23—41no—
1445C23—41no—
1446C23—41no—
1447C23—41no—
1448C23—41no—
1449C23—41no—
1450C23—41no—
1451C23—41no—
1452C23—41no—
1453C23—41no—
1454C23—41no—
1455C23—41no—
1456C23—41no—
1457C23—41no—
1458C23—416no—
1459C23—41no—
1460C23—41no—
1461C23—41no—
1462C23—41no—
1463C23—41no—
1464C23—41no—
1465C23—41no—
1466C23—41no—
1467C23—41no—
1468C23—41no—
1469C23—41no—
1470C23—41no—
1471C23—41no—
1472C23—41no—
1473C23—41no—
1474C23—41no—
1475C23—41no—
1476C23—41no—
1477C23—41no—
1478C23—41no—
1479C23—41no—
1480C23—41no—
1481C23—41no—
1482C23—41no—
1483C23—41no—
1484C23—41no—
1485C23—41no—
1486C23—41no—
1487C23—88no—
1488C23—88no—
1489C23—88no—
1490C23—88no—
1491C23—88no—
1492C23—88no—
1493C23—88no—
1494C23—88no—
1495C23—88no—
1496C23—88no—
1497C23—88no—
1498C23C2×C4×D414yes—
1499C23C2×C4×D414yes—
1500C23C2×C4×D414yes—
1501C23C4×#4114yes—
1502C23#52014yes—
1503C23#54614yes—
1504C23#54714yes—
1505C23#55114yes—
1506C23#55214yes—
1507C23C24×C411yescharacteristic
1508C23C23×D411yescharacteristic
1509C23C23×D411yescharacteristic
1510C23C22×#4111yescharacteristic
1511C23C22×#4111yescharacteristic
1512C23C22×#4111yescharacteristic
1513C23C22×#4111yescharacteristic
1514C23C2×H(5,𝔽2)11yescharacteristic
1515C23C2×H(5,𝔽2)11yescharacteristic
1516C23C2×H(5,𝔽2)11yescharacteristic
1517C23C2×2−1+411yescharacteristic
1518C23#58511yescharacteristic
1519C23#58511yescharacteristic
1520C23#58511yescharacteristic
1521C23#58511yescharacteristic
1522D4—232no—
1523D4—416no—
1524D4—88no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
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—22no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—416no—
1607C2×C4—416no—
1608C2×C4—416no—
1609C2×C4—416no—
1610C2×C4—416no—
1611C2×C4—41no—
1612C2×C4—41no—
1613C2×C4—41no—
1614C2×C4—41no—
1615C2×C4—41no—
1616C2×C4—41no—
1617C2×C4—41no—
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—41no—
1635C2×C4—41no—
1636C2×C4—41no—
1637C2×C4—41no—
1638C2×C4—41no—
1639C2×C4—41no—
1640C2×C4—41no—
1641C2×C4—41no—
1642C2×C4—41no—
1643C2×C4—41no—
1644C2×C4—41no—
1645C2×C4—41no—
1646C2×C4—41no—
1647C2×C4—41no—
1648C2×C4—41no—
1649C2×C4—41no—
1650C2×C4—41no—
1651C2×C4—41no—
1652C2×C4—41no—
1653C2×C4—41no—
1654C2×C4—41no—
1655C2×C4—41no—
1656C2×C4—41no—
1657C2×C4—41no—
1658C2×C4—41no—
1659C2×C4—41no—
1660C2×C4—41no—
1661C2×C4—41no—
1662C2×C4—41no—
1663C2×C4—41no—
1664C2×C4—41no—
1665C2×C4—41no—
1666C2×C4—41no—
1667C2×C4—41no—
1668C2×C4—41no—
1669C2×C4—41no—
1670C2×C4—41no—
1671C2×C4—41no—
1672C2×C4—41no—
1673C2×C4—41no—
1674C2×C4—41no—
1675C2×C4—41no—
1676C2×C4—41no—
1677C2×C4—41no—
1678C2×C4—41no—
1679C2×C4—41no—
1680C2×C4—41no—
1681C2×C4—41no—
1682C2×C4—41no—
1683C2×C4—41no—
1684C2×C4—41no—
1685C2×C4—41no—
1686C2×C4—41no—
1687C2×C4—41no—
1688C2×C4—41no—
1689C2×C4—41no—
1690C2×C4—41no—
1691C2×C4—41no—
1692C2×C4—41no—
1693C2×C4—41no—
1694C2×C4—41no—
1695C2×C4—41no—
1696C2×C4—41no—
1697C2×C4—41no—
1698C2×C4—41no—
1699C2×C4—41no—
1700C2×C4—41no—
1701C2×C4—41no—
1702C2×C4—41no—
1703C2×C4—41no—
1704C2×C4—41no—
1705C2×C4—41no—
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—88no—
1716C2×C4—88no—
1717C2×C4—88no—
1718C2×C4—88no—
1719C2×C4—88no—
1720C2×C4—88no—
1721C2×C4C2×C4×D414yes—
1722C2×C4C2×C4×D414yes—
1723C2×C4C2×C4×D414yes—
1724C2×C4D4214yes—
1725C22—24no—
1726C22—24no—
1727C22—24no—
1728C22—24no—
1729C22—24no—
1730C22—24no—
1731C22—24no—
1732C22—24no—
1733C22—24no—
1734C22—24no—
1735C22—24no—
1736C22—24no—
1737C22—24no—
1738C22—24no—
1739C22—24no—
1740C22—24no—
1741C22—24no—
1742C22—24no—
1743C22—24no—
1744C22—24no—
1745C22—42no—
1746C22—42no—
1747C22—42no—
1748C22—42no—
1749C22—42no—
1750C22—42no—
1751C22—42no—
1752C22—42no—
1753C22—42no—
1754C22—42no—
1755C22—42no—
1756C22—42no—
1757C22—42no—
1758C22—42no—
1759C22—42no—
1760C22—42no—
1761C22—42no—
1762C22—42no—
1763C22—42no—
1764C22—42no—
1765C22—42no—
1766C22—42no—
1767C22—42no—
1768C22—42no—
1769C22—42no—
1770C22—42no—
1771C22—42no—
1772C22—42no—
1773C22—42no—
1774C22—42no—
1775C22—42no—
1776C22—832no—
1777C22—81no—
1778C22—81no—
1779C22—81no—
1780C22—81no—
1781C22—81no—
1782C22—81no—
1783C22—81no—
1784C22—81no—
1785C22#235918yescomplemented
1786C22C22×C4×D411yescharacteristic
1787C22C22×C4×D411yescharacteristic
1788C22C2×C4×#4111yescharacteristic
1789C22C2×#52011yescharacteristic
1790C22#342811yescharacteristic
1791C22C4×H(5,𝔽2)11yescharacteristic
1792C22C4×H(5,𝔽2)11yescharacteristic
1793C22C2×D4211yescharacteristic
1794C22C2×#54611yescharacteristic
1795C22C2×#54711yescharacteristic
1796C22D4×#4111yescharacteristic
1797C22D4×#4111yescharacteristic
1798C22D4×#4111yescharacteristic
1799C22D4×#4111yescharacteristic
1800C22C2×#55111yescharacteristic
1801C22C2×#55211yescharacteristic
1802C22#347511yescharacteristic
1803C22#347511yescharacteristic
1804C22#348111yescharacteristic
1805C22#348411yescharacteristic
1806C22#348511yescharacteristic
1807C22#348811yescharacteristic
1808C22#348911yescharacteristic
1809C22#351311yescharacteristic
1810C22#351311yescharacteristic
1811C22#351411yescharacteristic
1812C22#351411yescharacteristic
1813C22#351911yescharacteristic
1814C22#352011yescharacteristic
1815C22#352111yescharacteristic
1816C22#352111yescharacteristic
1817C22#353511yescharacteristic
1818C22#354211yescharacteristic
1819C22#354511yescharacteristic
1820C22#356411yescharacteristic
1821C4—24no—
1822C4—24no—
1823C4—24no—
1824C4—24no—
1825C4—42no—
1826C4—42no—
1827C4—42no—
1828C4—42no—
1829C4—42no—
1830C4—42no—
1831C4—42no—
1832C4—42no—
1833C4—42no—
1834C4—42no—
1835C4—42no—
1836C4—42no—
1837C4—42no—
1838C4—42no—
1839C4—42no—
1840C4—42no—
1841C4—42no—
1842C4—42no—
1843C4—42no—
1844C4—81no—
1845C4—81no—
1846C4—81no—
1847C4—81no—
1848C2—28no—
1849C2—44no—
1850C2—44no—
1851C2—82no—
1852C2C2×#235911yescharacteristic
1853C2#3413611yescharacteristic
1854C2C4×D4211yescharacteristic
1855C2#3428311yescharacteristic
1856C2#3428811yescharacteristic
1857C2#3429211yescharacteristic
1858C2#3447911yescharacteristic
1859C2#5899511yescharacteristic
1860C2#5900411yescharacteristic
1861C2#5903211yescharacteristic
1862C2#5910811yescharacteristic
1863C2#5916211yescharacteristic
1864C2#5916911yescharacteristic
1865C2#5949211yescharacteristic
1866C2#5994311yescharacteristic
subgroupG/H
center, Frattini, socle, cosocleC24C25
commutatorC23C24×C4
prime radicalC22×#120C22
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×#2359C2semidirect
4. C2×#2290C2semidirect
5. C22×#388C2semidirect
6. #14571C2semidirect
7. #14541C2semidirect
8. #14529C2semidirect
9. #14527C2semidirect
10. #14231C2semidirect
11. #14209C2semidirect
12. #14205C2semidirect
13. #14176C2semidirect
14. #14146C2semidirect
15. #14140C2semidirect
16. #14131C2semidirect
17. #14130C2semidirect
18. #14127C2semidirect
19. #14112C2semidirect
20. #14096C2semidirect
21. #14079C2semidirect
22. #14071C2semidirect
23. #14047C2semidirect
24. #14015C2semidirect
25. #13971C2semidirect
27. #13816C2semidirect
28. #13813C2semidirect
29. D4×#95C2semidirect
30. C22⋊C42C2semidirect
31. C4×#385C2semidirect
38. C22×#117C22semidirect
45. #2418C4semidirect
53. C2×#389C22semidirect
54. C2×#389C22semidirect
71. C2×#388C22semidirect
72. C2×#388C22semidirect
73. C2×#387C22semidirect
74. C2×#387C22semidirect
75. C2×#387C22semidirect
76. C2×#387C22semidirect
93. C2×#385C22semidirect
94. C2×#385C22semidirect
98. C2×C4×C4⋊C4C22semidirect
99. C2×C4×C4⋊C4C22semidirect
100. C2×C4×C4⋊C4C22semidirect
108. C2×C4×C22⋊C4C22semidirect
109. C2×C4×C22⋊C4C22semidirect
110. C2×#376C22semidirect
113. C22×#95C22semidirect
114. #1445C22semidirect
115. #1445C22semidirect
116. #1444C22semidirect
117. #1444C22semidirect
118. #1444C22semidirect
119. #1444C22semidirect
120. #1443C22semidirect
121. #1443C22semidirect
122. #1442C22semidirect
123. #1442C22semidirect
124. #1442C22semidirect
125. #1442C22semidirect
126. #1441C22semidirect
127. #1441C22semidirect
138. #1439C22semidirect
139. #1439C22semidirect
150. #1437C22semidirect
151. #1437C22semidirect
152. #1436C22semidirect
153. #1436C22semidirect
154. #1436C22semidirect
155. #1436C22semidirect
156. #1436C22semidirect
157. #1436C22semidirect
158. #1436C22semidirect
159. #1436C22semidirect
160. #1436C22semidirect
161. #1436C22semidirect
162. #1436C22semidirect
163. #1436C22semidirect
164. C4⋊#95C22semidirect
165. C4⋊#95C22semidirect
166. C4⋊#95C22semidirect
167. C4⋊#95C22semidirect
168. C4⋊#95C22semidirect
169. #1434C22semidirect
170. #1434C22semidirect
171. #1434C22semidirect
184. C22⋊#95C22semidirect
185. C22⋊#95C22semidirect
186. C22⋊#95C22semidirect
187. C22⋊#95C22semidirect
188. C4×#95C22semidirect
189. C4×#95C22semidirect
190. C4×#95C22semidirect
191. C4×#95C22semidirect
209. C2×#123C2×C4semidirect
224. C2×C4×D4C2×C4semidirect
261. C22×C22⋊C4C2×C4semidirect
320. #399C2×C4semidirect
321. #397C2×C4semidirect
322. #394C2×C4semidirect
323. #394C2×C4semidirect
340. #388C2×C4semidirect
341. #388C2×C4semidirect
342. #388D4semidirect
352. #386C2×C4semidirect
353. #386C2×C4semidirect
364. #385C2×C4semidirect
365. #380C2×C4semidirect
367. #379C2×C4semidirect
1336. C22⋊C4C4×D4semidirect
1785. C22#2359semidirect

Maximal subgroups

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

subgroupindex
C2×#24182
C2×#23592
C2×#23582
C2×#22902
C22×#3882
#145712
#145412
#145292
#145272
#142312
#142092
#142052
#141762
#141462
#141402
#141312
#141302
#141272
#141122
#140962
#140792
#140712
#140472
#140152
#139712
#139672
#138162
#138132
D4×#952
C22⋊C422
C4×#3852