Finite Group Databasebeta

← #1094066

Subgroups — #1094066

Order 512.

4429 conjugacy classes of subgroups.

The subgroup lattice has 2068 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#538C211yesmaximal, characteristic, complemented
2C2×#2714C211yesmaximal, characteristic, complemented
3C2×#2702C211yesmaximal, characteristic, complemented
4C2×#2512C211yesmaximal, characteristic, complemented
5#16680C211yesmaximal, characteristic, complemented
6#16500C211yesmaximal, characteristic, complemented
7#16257C211yesmaximal, characteristic, complemented
8#16094C211yesmaximal, characteristic, complemented
9#15928C211yesmaximal, characteristic, complemented
10#15913C211yesmaximal, characteristic, complemented
11#15674C211yesmaximal, characteristic, complemented
12#15317C211yesmaximal, characteristic, complemented
13#15315C211yesmaximal, characteristic, complemented
14#15281C211yesmaximal, characteristic, complemented
15#15272C211yesmaximal, characteristic, complemented
16#15271C211yesmaximal, characteristic, complemented
17#15268C211yesmaximal, characteristic, complemented
18#15267C211yesmaximal, characteristic, complemented
19#15267C211yesmaximal, characteristic, complemented
20#15217C211yesmaximal, characteristic, complemented
21#15130C211yesmaximal, characteristic, complemented
22#14820C211yesmaximal, characteristic, complemented
23#14806C211yesmaximal, characteristic, complemented
24#14760C211yesmaximal, characteristic, complemented
25#14732C211yesmaximal, characteristic, complemented
26#14493C211yesmaximal, characteristic, complemented
27#14185C211yesmaximal, characteristic, complemented
28#14176C211yesmaximal, characteristic, complemented
29#14099C211yesmaximal, characteristic, complemented
30#13998C211yesmaximal, characteristic, complemented
31#13995C211yesmaximal, characteristic, complemented
32C2×#538—28no—
33C2×#538—28no—
34C2×#538—28no—
35C22×#126C2211yescharacteristic
36C22×#126C2211yescharacteristic
37C22×#126C2211yescharacteristic, complemented
38C22×#124C2211yescharacteristic
39C22×#124C2211yescharacteristic
40C22×#123C2211yescharacteristic
41C22×#123C2211yescharacteristic
42C22×C22⋊Q8C2211yescharacteristic
43C22×#121C2211yescharacteristic
44C22×#121C2211yescharacteristic
45C22×#121C2211yescharacteristic
46C22×#120C2211yescharacteristic
47C22×#120C2211yescharacteristic
48C22×#120C2211yescharacteristic
49C22×C4×D4C2211yescharacteristic
50C22×C4×D4C2211yescharacteristic
51C23×C22⋊C4C2211yescharacteristic
52#2714—28no—
53#2702—28no—
54#2512—28no—
55C2×#400C2211yescharacteristic, complemented
56C2×#398C2211yescharacteristic, complemented
57C2×#397C2211yescharacteristic
58C2×#397C2211yescharacteristic
59C2×#397C2211yescharacteristic, complemented
60C2×#396C2211yescharacteristic
61C2×#396C2211yescharacteristic, complemented
62C2×#396C2211yescharacteristic, complemented
63C2×#394C2211yescharacteristic
64C2×#394C2211yescharacteristic
65C2×#394C2211yescharacteristic
66C2×#394C2211yescharacteristic
67C2×#394C2211yescharacteristic
68C2×#394C2211yescharacteristic
69C2×#394C2211yescharacteristic
70C2×#394C2211yescharacteristic
71C2×#394C2211yescharacteristic, complemented
72C2×#393C2211yescharacteristic, complemented
73C2×#392C2211yescharacteristic
74C2×#392C2211yescharacteristic
75C2×#392C2211yescharacteristic
76C2×#392C2211yescharacteristic
77C2×#392C2211yescharacteristic
78C2×#392C2211yescharacteristic
79C2×#392C2211yescharacteristic, complemented
80C2×#391C2211yescharacteristic, complemented
81C2×#391C2211yescharacteristic, complemented
82C2×#390C2211yescharacteristic
83C2×#390C2211yescharacteristic
84C2×#390C2211yescharacteristic
85C2×#390C2211yescharacteristic
86C2×#390C2211yescharacteristic
87C2×#390C2211yescharacteristic
88C2×#390C2211yescharacteristic
89C2×#390C2211yescharacteristic
90C2×#390C2211yescharacteristic, complemented
91C2×#390C2211yescharacteristic, complemented
92C2×#389C2211yescharacteristic, complemented
93C2×#389C2211yescharacteristic, complemented
94C2×#388C2211yescharacteristic
95C2×#388C2211yescharacteristic
96C2×#388C2211yescharacteristic
97C2×#388C2211yescharacteristic, complemented
98C2×#388C2211yescharacteristic, complemented
99C2×#388C2211yescharacteristic, complemented
100C2×#387C2211yescharacteristic, complemented
101C2×#386C2211yescharacteristic
102C2×#386C2211yescharacteristic
103C2×#386C2211yescharacteristic, complemented
104C2×#386C2211yescharacteristic, complemented
105C2×#385C2211yescharacteristic
106C2×#385C2211yescharacteristic, complemented
107C2×#385C2211yescharacteristic, complemented
108C2×#384C2211yescharacteristic, complemented
109C2×#380C2211yescharacteristic
110C2×#380C2211yescharacteristic, complemented
111C2×#379C2211yescharacteristic
112C2×#379C2211yescharacteristic
113C2×#379C2211yescharacteristic
114C2×C4×C4⋊C4C2211yescharacteristic, complemented
115C2×C4×C4⋊C4C2211yescharacteristic, complemented
116C2×C4×C22⋊C4C2211yescharacteristic
117C2×C4×C22⋊C4C2211yescharacteristic, complemented
118#1446C2211yescharacteristic, complemented
119#1445C2211yescharacteristic, complemented
120#1444C2211yescharacteristic, complemented
121#1441C2211yescharacteristic, complemented
122#1441C2211yescharacteristic, complemented
123#1441C2211yescharacteristic, complemented
124#1441C2211yescharacteristic, complemented
125#1440C2211yescharacteristic
126#1440C2211yescharacteristic
127#1440C2211yescharacteristic
128#1440C2211yescharacteristic
129#1440C2211yescharacteristic
130#1440C2211yescharacteristic, complemented
131#1440C2211yescharacteristic, complemented
132#1440C2211yescharacteristic, complemented
133#1440C2211yescharacteristic, complemented
134#1439C2211yescharacteristic
135#1439C2211yescharacteristic
136#1439C2211yescharacteristic
137#1439C2211yescharacteristic
138#1439C2211yescharacteristic
139#1439C2211yescharacteristic
140#1439C2211yescharacteristic
141#1439C2211yescharacteristic
142#1439C2211yescharacteristic
143#1439C2211yescharacteristic
144#1439C2211yescharacteristic
145#1439C2211yescharacteristic
146#1439C2211yescharacteristic
147#1439C2211yescharacteristic
148#1439C2211yescharacteristic, complemented
149#1439C2211yescharacteristic, complemented
150#1439C2211yescharacteristic, complemented
151#1439C2211yescharacteristic, complemented
152#1439C2211yescharacteristic, complemented
153#1439C2211yescharacteristic, complemented
154#1439C2211yescharacteristic, complemented
155#1438C2211yescharacteristic
156#1438C2211yescharacteristic
157#1438C2211yescharacteristic
158#1438C2211yescharacteristic
159#1438C2211yescharacteristic
160#1438C2211yescharacteristic
161#1438C2211yescharacteristic
162#1438C2211yescharacteristic
163#1438C2211yescharacteristic
164#1438C2211yescharacteristic
165#1438C2211yescharacteristic
166#1438C2211yescharacteristic
167#1438C2211yescharacteristic, complemented
168#1438C2211yescharacteristic, complemented
169#1438C2211yescharacteristic, complemented
170#1438C2211yescharacteristic, complemented
171#1437C2211yescharacteristic
172#1437C2211yescharacteristic
173#1437C2211yescharacteristic
174#1437C2211yescharacteristic
175#1437C2211yescharacteristic
176#1437C2211yescharacteristic, complemented
177#1437C2211yescharacteristic, complemented
178#1436C2211yescharacteristic, complemented
179#1436C2211yescharacteristic, complemented
180#1436C2211yescharacteristic, complemented
181#1436C2211yescharacteristic, complemented
182#1436C2211yescharacteristic, complemented
183#1436C2211yescharacteristic, complemented
184#1436C2211yescharacteristic, complemented
185C4⋊#95C2211yescharacteristic, complemented
186C4⋊#95C2211yescharacteristic, complemented
187#1434C2211yescharacteristic, complemented
188C22⋊#95C2211yescharacteristic
189C22⋊#95C2211yescharacteristic
190C22⋊#95C2211yescharacteristic
191C22⋊#95C2211yescharacteristic, complemented
192C22⋊#95C2211yescharacteristic, complemented
193C26C2311yescharacteristic
194C23×Q8C2311yescharacteristic
195C23×D4C2311yescharacteristic
196C23×D4C2311yescharacteristic
197C23×D4C2311yescharacteristic
198C23×D4C2311yescharacteristic
199C23×D4C2311yescharacteristic
200C23×D4C2311yescharacteristic
201C23×D4C2311yescharacteristic
202C23×D4C2311yescharacteristic
203C23×D4C2311yescharacteristic
204C23×D4C2311yescharacteristic
205C23×D4C2311yescharacteristic
206C23×D4C2311yescharacteristic
207C24×C4C2311yescharacteristic
208C24×C4C2311yescharacteristic
209C24×C4C2311yescharacteristic
210C24×C4C2311yescharacteristic
211#538—2128no—
212C2×#126—24no—
213C2×#126—24no—
214C2×#126—24no—
215C2×#126—24no—
216C2×#126—24no—
217C2×#126—24no—
218C2×#126—24no—
219C2×#126—24no—
220C2×#126D418yescomplemented
221C2×#124—24no—
222C2×#124—24no—
223C2×#124—24no—
224C2×#124—24no—
225C2×#124—24no—
226C2×#124—24no—
227C2×#123—24no—
228C2×#123—24no—
229C2×#123—24no—
230C2×#123—24no—
231C2×#123—24no—
232C2×#123—24no—
233C2×C22⋊Q8—24no—
234C2×C22⋊Q8—24no—
235C2×C22⋊Q8D418yescomplemented
236C2×#121—24no—
237C2×#121—24no—
238C2×#121—24no—
239C2×#121—24no—
240C2×#121—24no—
241C2×#121—24no—
242C2×#121—24no—
243C2×#121—24no—
244C2×#121D418yescomplemented
245C2×#120—24no—
246C2×#120—24no—
247C2×#120—24no—
248C2×#120—24no—
249C2×#120—24no—
250C2×#120—24no—
251C2×#120—24no—
252C2×#120—42no—
253C2×#120—42no—
254C2×C4×D4—24no—
255C2×C4×D4—24no—
256C2×C4×D4—24no—
257C2×C4×D4—24no—
258C2×C4×D4—24no—
259C2×C4×D4—24no—
260C22×C4⋊C4C2311yescharacteristic
261C22×C4⋊C4C2311yescharacteristic
262C22×C4⋊C4C2311yescharacteristic
263C22×C4⋊C4C2311yescharacteristic
264C22×C4⋊C4C2311yescharacteristic
265C22×C4⋊C4C2311yescharacteristic
266C22×C4⋊C4C2311yescharacteristic
267C22×C4⋊C4C2311yescharacteristic
268C22×C4⋊C4C2311yescharacteristic
269C22×C4⋊C4C2311yescharacteristic
270C22×C4⋊C4C2311yescharacteristic
271C22×C4⋊C4C2311yescharacteristic
272C22×C4⋊C4C2311yescharacteristic
273C22×C4⋊C4C2311yescharacteristic
274C22×C4⋊C4C2311yescharacteristic
275C22×C4⋊C4C2311yescharacteristic
276C22×C4⋊C4C2311yescharacteristic
277C22×C4⋊C4C2311yescharacteristic
278C22×C4⋊C4C2311yescharacteristic
279C22×C4⋊C4C2311yescharacteristic
280C22×C22⋊C4—24no—
281C22×C22⋊C4—24no—
282C22×C22⋊C4—24no—
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×C22⋊C4C2311yescharacteristic
312C22×C22⋊C4C2311yescharacteristic
313C22×C22⋊C4C2311yescharacteristic
314C22×C22⋊C4C2311yescharacteristic
315C22×C22⋊C4C2311yescharacteristic
316C22×C22⋊C4C2311yescharacteristic
317C22×C22⋊C4C2311yescharacteristic
318C22×C22⋊C4C2311yescharacteristic
319C22×C22⋊C4C2311yescharacteristic
320C22×C22⋊C4C2311yescharacteristic
321C22×C22⋊C4C2311yescharacteristic
322C22×C22⋊C4C2311yescharacteristic
323C22×C22⋊C4C2311yescharacteristic
324C22×C22⋊C4C2311yescharacteristic
325C22×C22⋊C4C2311yescharacteristic
326C22×C22⋊C4C2311yescharacteristic
327C22×C22⋊C4C2311yescharacteristic
328C22×C22⋊C4C2311yescharacteristic
329C22×C22⋊C4C2311yescharacteristic
330C22×C22⋊C4C2311yescharacteristic
331C22×C22⋊C4C2311yescharacteristic
332C22×C22⋊C4C2311yescharacteristic
333C22×C22⋊C4C2311yescharacteristic
334C22×C22⋊C4C2311yescharacteristic
335C22×C22⋊C4C2311yescharacteristic
336C22×C22⋊C4C2311yescharacteristic
337C22×C22⋊C4C2311yescharacteristic
338C22×C22⋊C4C2311yescharacteristic
339C22×C22⋊C4C2311yescharacteristic
340C22×C22⋊C4C2311yescharacteristic
341C22×C22⋊C4C2311yescharacteristic
342C22×C42C2311yescharacteristic
343C22×C42C2311yescharacteristic
344C22×C42C2311yescharacteristic
345C22×C42C2311yescharacteristic
346C22×C42C2311yescharacteristic
347C22×C42C2311yescharacteristic
348C22×C42C2311yescharacteristic
349C22×C42C2311yescharacteristic
350#400—24no—
351#398—24no—
352#397—24no—
353#397—24no—
354#397—24no—
355#396—24no—
356#396—24no—
357#396—24no—
358#394—24no—
359#394—24no—
360#394—24no—
361#394—24no—
362#394—24no—
363#394—24no—
364#394—42no—
365#394—42no—
366#394—42no—
367#393—24no—
368#392—24no—
369#392—24no—
370#392—24no—
371#392—42no—
372#392—42no—
373#392—42no—
374#392—42no—
375#391—24no—
376#391—42no—
377#390—24no—
378#390—24no—
379#390—24no—
380#390—24no—
381#390—24no—
382#390—24no—
383#390—42no—
384#390—42no—
385#390—42no—
386#390—42no—
387#389—24no—
388#389—24no—
389#388—24no—
390#388—24no—
391#388—24no—
392#388—24no—
393#388—24no—
394#388—24no—
395#387—24no—
396#386—24no—
397#386—24no—
398#386—42no—
399#386—42no—
400#385—24no—
401#385—42no—
402#385—42no—
403#384—24no—
404#380—24no—
405#380—42no—
406#379—42no—
407#379—42no—
408#379—42no—
409C4×C4⋊C4—24no—
410C4×C4⋊C4—24no—
411C4×C22⋊C4—42no—
412C4×C22⋊C4—42no—
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
455C2×#95C2311yescharacteristic
456C2×#95C2311yescharacteristic
457C2×#95C2311yescharacteristic
458C2×#95C2311yescharacteristic
459C2×#95C2311yescharacteristic
460C2×#95C2311yescharacteristic
461C2×#95C2311yescharacteristic
462C2×#95C2311yescharacteristic
463C25—22no—
464C25—22no—
465C25—22no—
466C25—22no—
467C25—22no—
468C25—41no—
469C25—41no—
470C25—41no—
471C25—41no—
472C25—41no—
473C25—41no—
474C25—41no—
475C25—41no—
476C25—41no—
477C25—41no—
478C25C2411yescharacteristic
479C25C2411yescharacteristic
480C25C2411yescharacteristic
481C25C2411yescharacteristic
482C25C2411yescharacteristic
483C25C2411yescharacteristic
484C22×Q8—22no—
485C22×Q8—22no—
486C22×Q8—41no—
487C22×Q8—41no—
488C22×Q8—41no—
489C22×Q8—41no—
490C22×Q8C2×D414yes—
491C22×D4—22no—
492C22×D4—22no—
493C22×D4—22no—
494C22×D4—22no—
495C22×D4—22no—
496C22×D4—22no—
497C22×D4—22no—
498C22×D4—22no—
499C22×D4—22no—
500C22×D4—22no—
501C22×D4—22no—
502C22×D4—22no—
503C22×D4—22no—
504C22×D4—22no—
505C22×D4—22no—
506C22×D4—22no—
507C22×D4—22no—
508C22×D4—22no—
509C22×D4—22no—
510C22×D4—22no—
511C22×D4—22no—
512C22×D4—22no—
513C22×D4—22no—
514C22×D4—22no—
515C22×D4—22no—
516C22×D4—22no—
517C22×D4—22no—
518C22×D4—22no—
519C22×D4—22no—
520C22×D4—22no—
521C22×D4—22no—
522C22×D4—22no—
523C22×D4—22no—
524C22×D4—41no—
525C22×D4—41no—
526C22×D4—41no—
527C22×D4—41no—
528C22×D4—41no—
529C22×D4—41no—
530C22×D4—41no—
531C22×D4—41no—
532C22×D4—41no—
533C22×D4—41no—
534C22×D4—41no—
535C22×D4—41no—
536C22×D4—41no—
537C22×D4—41no—
538C22×D4—41no—
539C22×D4—41no—
540C22×D4—41no—
541C22×D4—41no—
542C22×D4—41no—
543C22×D4—41no—
544C22×D4—41no—
545C22×D4—41no—
546C22×D4—41no—
547C22×D4—41no—
548C22×D4—41no—
549C22×D4—41no—
550C22×D4—41no—
551C22×D4—41no—
552C22×D4—41no—
553C22×D4—41no—
554C22×D4—41no—
555C22×D4—41no—
556C22×D4—41no—
557C22×D4—41no—
558C22×D4—41no—
559C22×D4—41no—
560C22×D4—41no—
561C22×D4—41no—
562C22×D4—41no—
563C22×D4—41no—
564C22×D4—41no—
565C22×D4—41no—
566C22×D4—41no—
567C22×D4—41no—
568C22×D4—41no—
569C22×D4—41no—
570C22×D4—41no—
571C22×D4—41no—
572C22×D4C2×D414yes—
573C22×D4C2×D414yes—
574C22×D4C2×D414yes—
575C23×C4—22no—
576C23×C4—22no—
577C23×C4—22no—
578C23×C4—22no—
579C23×C4—22no—
580C23×C4—22no—
581C23×C4—22no—
582C23×C4—22no—
583C23×C4—22no—
584C23×C4—22no—
585C23×C4—41no—
586C23×C4—41no—
587C23×C4—41no—
588C23×C4—41no—
589C23×C4—41no—
590C23×C4—41no—
591C23×C4—41no—
592C23×C4—41no—
593C23×C4—41no—
594C23×C4—41no—
595C23×C4—41no—
596C23×C4—41no—
597C23×C4—41no—
598C23×C4—41no—
599C23×C4—41no—
600C23×C4—41no—
601C23×C4C2×D414yes—
602C23×C4C2×D414yes—
603C23×C4C2411yescharacteristic
604C23×C4C2411yescharacteristic
605C23×C4C2411yescharacteristic
606C23×C4C2411yescharacteristic
607C23×C4C2411yescharacteristic
608C23×C4C2411yescharacteristic
609C23×C4C2411yescharacteristic
610C23×C4C2411yescharacteristic
611C23×C4C2411yescharacteristic
612C23×C4C2411yescharacteristic
613C23×C4C2411yescharacteristic
614C23×C4C2411yescharacteristic
615C23×C4C2411yescharacteristic
616C23×C4C2411yescharacteristic
617C23×C4C2411yescharacteristic
618C23×C4C2411yescharacteristic
619C23×C4C2411yescharacteristic
620C23×C4C2411yescharacteristic
621C23×C4C2411yescharacteristic
622C23×C4C2411yescharacteristic
623C23×C4C2411yescharacteristic
624C23×C4C2411yescharacteristic
625C23×C4C2411yescharacteristic
626C23×C4C2411yescharacteristic
627C23×C4C2411yescharacteristic
628#126—232no—
629#126—232no—
630#126—416no—
631#124—232no—
632#124—232no—
633#123—232no—
634#123—232no—
635C22⋊Q8—232no—
636#121—232no—
637#121—232no—
638#121—232no—
639#120—232no—
640#120—232no—
641#120—416no—
642C4×D4—232no—
643C4×D4—232no—
644C2×C4⋊C4—22no—
645C2×C4⋊C4—22no—
646C2×C4⋊C4—22no—
647C2×C4⋊C4—22no—
648C2×C4⋊C4—22no—
649C2×C4⋊C4—22no—
650C2×C4⋊C4—22no—
651C2×C4⋊C4—22no—
652C2×C4⋊C4—22no—
653C2×C4⋊C4—22no—
654C2×C4⋊C4—22no—
655C2×C4⋊C4—22no—
656C2×C4⋊C4—22no—
657C2×C4⋊C4—22no—
658C2×C4⋊C4—22no—
659C2×C4⋊C4—22no—
660C2×C4⋊C4—22no—
661C2×C4⋊C4—22no—
662C2×C4⋊C4—22no—
663C2×C4⋊C4—22no—
664C2×C4⋊C4—22no—
665C2×C4⋊C4—22no—
666C2×C4⋊C4—22no—
667C2×C4⋊C4—22no—
668C2×C4⋊C4—22no—
669C2×C4⋊C4—22no—
670C2×C4⋊C4—22no—
671C2×C4⋊C4—22no—
672C2×C4⋊C4—22no—
673C2×C4⋊C4—22no—
674C2×C4⋊C4—22no—
675C2×C4⋊C4—22no—
676C2×C4⋊C4—22no—
677C2×C4⋊C4—41no—
678C2×C4⋊C4—41no—
679C2×C4⋊C4—41no—
680C2×C4⋊C4—41no—
681C2×C4⋊C4—41no—
682C2×C4⋊C4—41no—
683C2×C4⋊C4—41no—
684C2×C4⋊C4—41no—
685C2×C4⋊C4—41no—
686C2×C4⋊C4—41no—
687C2×C4⋊C4—41no—
688C2×C4⋊C4—41no—
689C2×C4⋊C4—41no—
690C2×C4⋊C4—41no—
691C2×C4⋊C4—41no—
692C2×C4⋊C4—41no—
693C2×C4⋊C4—41no—
694C2×C4⋊C4—41no—
695C2×C4⋊C4—41no—
696C2×C4⋊C4—41no—
697C2×C4⋊C4C2×D414yes—
698C2×C4⋊C4C2×D414yes—
699C2×C4⋊C4C2×D414yes—
700C2×C4⋊C4C2×D414yes—
701C2×C4⋊C4C2×D414yes—
702C2×C4⋊C4C2×D414yes—
703C2×C4⋊C4C2×D414yes—
704C2×C22⋊C4—232no—
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—22no—
747C2×C22⋊C4—22no—
748C2×C22⋊C4—22no—
749C2×C22⋊C4—22no—
750C2×C22⋊C4—22no—
751C2×C22⋊C4—22no—
752C2×C22⋊C4—22no—
753C2×C22⋊C4—22no—
754C2×C22⋊C4—22no—
755C2×C22⋊C4—22no—
756C2×C22⋊C4—22no—
757C2×C22⋊C4—22no—
758C2×C22⋊C4—22no—
759C2×C22⋊C4—22no—
760C2×C22⋊C4—22no—
761C2×C22⋊C4—22no—
762C2×C22⋊C4—22no—
763C2×C22⋊C4—22no—
764C2×C22⋊C4—22no—
765C2×C22⋊C4—22no—
766C2×C22⋊C4—22no—
767C2×C22⋊C4—22no—
768C2×C22⋊C4—22no—
769C2×C22⋊C4—22no—
770C2×C22⋊C4—22no—
771C2×C22⋊C4—22no—
772C2×C22⋊C4—22no—
773C2×C22⋊C4—22no—
774C2×C22⋊C4—22no—
775C2×C22⋊C4—22no—
776C2×C22⋊C4—22no—
777C2×C22⋊C4—22no—
778C2×C22⋊C4—22no—
779C2×C22⋊C4—22no—
780C2×C22⋊C4—22no—
781C2×C22⋊C4—22no—
782C2×C22⋊C4—22no—
783C2×C22⋊C4—22no—
784C2×C22⋊C4—22no—
785C2×C22⋊C4—22no—
786C2×C22⋊C4—22no—
787C2×C22⋊C4—22no—
788C2×C22⋊C4—22no—
789C2×C22⋊C4—22no—
790C2×C22⋊C4—22no—
791C2×C22⋊C4—22no—
792C2×C22⋊C4—22no—
793C2×C22⋊C4—22no—
794C2×C22⋊C4—22no—
795C2×C22⋊C4—22no—
796C2×C22⋊C4—22no—
797C2×C22⋊C4—22no—
798C2×C22⋊C4—41no—
799C2×C22⋊C4—41no—
800C2×C22⋊C4—41no—
801C2×C22⋊C4—41no—
802C2×C22⋊C4—41no—
803C2×C22⋊C4—41no—
804C2×C22⋊C4—41no—
805C2×C22⋊C4—41no—
806C2×C22⋊C4—41no—
807C2×C22⋊C4—41no—
808C2×C22⋊C4—41no—
809C2×C22⋊C4—41no—
810C2×C22⋊C4—41no—
811C2×C22⋊C4—41no—
812C2×C22⋊C4—41no—
813C2×C22⋊C4—41no—
814C2×C22⋊C4—41no—
815C2×C22⋊C4—41no—
816C2×C22⋊C4—41no—
817C2×C22⋊C4—41no—
818C2×C22⋊C4—41no—
819C2×C22⋊C4—41no—
820C2×C22⋊C4—41no—
821C2×C22⋊C4—41no—
822C2×C22⋊C4—41no—
823C2×C22⋊C4—41no—
824C2×C22⋊C4—41no—
825C2×C22⋊C4—41no—
826C2×C22⋊C4—41no—
827C2×C22⋊C4—41no—
828C2×C22⋊C4—41no—
829C2×C22⋊C4—41no—
830C2×C22⋊C4—41no—
831C2×C22⋊C4—41no—
832C2×C22⋊C4—41no—
833C2×C22⋊C4—41no—
834C2×C22⋊C4—41no—
835C2×C22⋊C4—41no—
836C2×C22⋊C4—41no—
837C2×C22⋊C4—41no—
838C2×C22⋊C4—41no—
839C2×C22⋊C4—41no—
840C2×C22⋊C4—41no—
841C2×C22⋊C4—41no—
842C2×C22⋊C4—41no—
843C2×C22⋊C4—41no—
844C2×C22⋊C4—41no—
845C2×C22⋊C4—41no—
846C2×C22⋊C4—41no—
847C2×C22⋊C4—41no—
848C2×C22⋊C4—41no—
849C2×C22⋊C4—41no—
850C2×C22⋊C4—41no—
851C2×C22⋊C4—41no—
852C2×C22⋊C4—41no—
853C2×C22⋊C4—41no—
854C2×C22⋊C4—41no—
855C2×C22⋊C4—41no—
856C2×C22⋊C4—41no—
857C2×C22⋊C4—41no—
858C2×C22⋊C4—41no—
859C2×C22⋊C4—41no—
860C2×C22⋊C4—41no—
861C2×C22⋊C4—41no—
862C2×C22⋊C4—41no—
863C2×C22⋊C4—41no—
864C2×C22⋊C4—41no—
865C2×C22⋊C4—41no—
866C2×C22⋊C4—41no—
867C2×C22⋊C4—41no—
868C2×C22⋊C4—41no—
869C2×C22⋊C4—41no—
870C2×C22⋊C4—41no—
871C2×C22⋊C4—41no—
872C2×C22⋊C4—41no—
873C2×C22⋊C4—41no—
874C2×C22⋊C4C2×D414yes—
875C2×C22⋊C4C2×D414yes—
876C2×C22⋊C4C2×D414yes—
877C2×C22⋊C4C2×D414yes—
878C2×C22⋊C4C2×D414yes—
879C2×C22⋊C4C2×D414yes—
880C2×C22⋊C4C2×D414yes—
881C2×C22⋊C4#4114yes—
882C2×C42—22no—
883C2×C42—22no—
884C2×C42—22no—
885C2×C42—22no—
886C2×C42—22no—
887C2×C42—22no—
888C2×C42—22no—
889C2×C42—22no—
890C2×C42—22no—
891C2×C42—22no—
892C2×C42—22no—
893C2×C42—22no—
894C2×C42—22no—
895C2×C42—22no—
896C2×C42—22no—
897C2×C42—22no—
898C2×C42—41no—
899C2×C42—41no—
900C2×C42—41no—
901C2×C42—41no—
902C2×C42—41no—
903C2×C42—41no—
904C2×C42—41no—
905C2×C42C2×D414yes—
906#95—22no—
907#95—22no—
908#95—22no—
909#95—22no—
910#95—22no—
911#95—22no—
912#95—22no—
913#95—22no—
914#95—22no—
915#95—22no—
916#95—22no—
917#95—22no—
918#95—22no—
919#95—22no—
920#95—22no—
921#95—22no—
922#95—22no—
923#95—22no—
924#95—22no—
925#95—22no—
926#95—22no—
927#95—22no—
928#95—22no—
929#95—22no—
930#95—22no—
931#95—22no—
932#95—22no—
933#95—22no—
934#95—22no—
935#95—22no—
936#95—41no—
937#95—41no—
938#95—41no—
939#95—41no—
940#95—41no—
941#95—41no—
942#95—41no—
943#95—41no—
944#95—41no—
945#95—41no—
946#95—41no—
947#95—41no—
948#95—41no—
949#95—41no—
950#95—41no—
951#95—41no—
952#95—41no—
953#95—41no—
954#95—41no—
955#95—41no—
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—28no—
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—21no—
993C24—21no—
994C24—21no—
995C24—21no—
996C24—21no—
997C24—21no—
998C24—21no—
999C24—21no—
1000C24—21no—
1001C24—21no—
1002C24—21no—
1003C24—21no—
1004C24—21no—
1005C24—21no—
1006C24—21no—
1007C24—21no—
1008C24—21no—
1009C24—21no—
1010C24—21no—
1011C24—21no—
1012C24—21no—
1013C24—21no—
1014C24—21no—
1015C24—21no—
1016C24—21no—
1017C24—21no—
1018C24—21no—
1019C24—21no—
1020C24—21no—
1021C24—21no—
1022C24—21no—
1023C24—21no—
1024C24—21no—
1025C24—21no—
1026C24—21no—
1027C24—21no—
1028C24—21no—
1029C24—21no—
1030C24—21no—
1031C24—21no—
1032C24—21no—
1033C24—21no—
1034C24—21no—
1035C24—21no—
1036C24—21no—
1037C24—21no—
1038C24—21no—
1039C24—21no—
1040C24—44no—
1041C24—44no—
1042C24—44no—
1043C24—44no—
1044C24—44no—
1045C24—44no—
1046C24—44no—
1047C24—44no—
1048C24—44no—
1049C24—44no—
1050C24—82no—
1051C24—82no—
1052C24—82no—
1053C24—82no—
1054C24—82no—
1055C24—82no—
1056C24—82no—
1057C24—82no—
1058C24—82no—
1059C24—82no—
1060C24—82no—
1061C24—82no—
1062C24—82no—
1063C24—82no—
1064C24—82no—
1065C24—82no—
1066C24—82no—
1067C24—82no—
1068C24—82no—
1069C24—82no—
1070C24—82no—
1071C24—82no—
1072C24—82no—
1073C24—82no—
1074C24C22×D412yes—
1075C24C22×D412yes—
1076C24C22×D412yes—
1077C24C22×D412yes—
1078C24C22×D412yes—
1079C24C2×#4112yes—
1080C24H(5,𝔽2)12yes—
1081C24C2511yescharacteristic
1082C2×Q8—28no—
1083C2×Q8—44no—
1084C2×Q8—44no—
1085C2×Q8—82no—
1086C2×Q8—82no—
1087C2×Q8—82no—
1088C2×Q8—82no—
1089C2×D4—28no—
1090C2×D4—28no—
1091C2×D4—28no—
1092C2×D4—28no—
1093C2×D4—28no—
1094C2×D4—28no—
1095C2×D4—28no—
1096C2×D4—44no—
1097C2×D4—44no—
1098C2×D4—44no—
1099C2×D4—44no—
1100C2×D4—44no—
1101C2×D4—44no—
1102C2×D4—44no—
1103C2×D4—44no—
1104C2×D4—44no—
1105C2×D4—44no—
1106C2×D4—44no—
1107C2×D4—44no—
1108C2×D4—44no—
1109C2×D4—44no—
1110C2×D4—44no—
1111C2×D4—44no—
1112C2×D4—44no—
1113C2×D4—44no—
1114C2×D4—44no—
1115C2×D4—44no—
1116C2×D4—44no—
1117C2×D4—44no—
1118C2×D4—44no—
1119C2×D4—44no—
1120C2×D4—44no—
1121C2×D4—44no—
1122C2×D4—44no—
1123C2×D4—44no—
1124C2×D4—44no—
1125C2×D4—82no—
1126C2×D4—82no—
1127C2×D4—82no—
1128C2×D4—82no—
1129C2×D4—82no—
1130C2×D4—82no—
1131C2×D4—82no—
1132C2×D4—82no—
1133C2×D4—82no—
1134C2×D4—82no—
1135C2×D4—82no—
1136C2×D4—82no—
1137C2×D4—82no—
1138C2×D4—82no—
1139C2×D4—82no—
1140C2×D4—82no—
1141C2×D4—82no—
1142C2×D4—82no—
1143C2×D4—82no—
1144C2×D4—82no—
1145C2×D4—82no—
1146C2×D4—82no—
1147C2×D4—82no—
1148C2×D4—82no—
1149C2×D4—82no—
1150C2×D4—82no—
1151C2×D4—82no—
1152C2×D4—82no—
1153C2×D4—82no—
1154C2×D4—82no—
1155C2×D4—82no—
1156C2×D4—82no—
1157C2×D4—82no—
1158C2×D4—82no—
1159C2×D4—82no—
1160C2×D4—82no—
1161C2×D4—82no—
1162C2×D4—82no—
1163C2×D4—82no—
1164C2×D4—82no—
1165C2×D4—82no—
1166C2×D4—82no—
1167C2×D4—82no—
1168C2×D4—82no—
1169C2×D4—82no—
1170C2×D4—82no—
1171C2×D4—82no—
1172C2×D4—82no—
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—21no—
1196C22×C4—21no—
1197C22×C4—21no—
1198C22×C4—21no—
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—21no—
1242C22×C4—21no—
1243C22×C4—28no—
1244C22×C4—28no—
1245C22×C4—28no—
1246C22×C4—28no—
1247C22×C4—21no—
1248C22×C4—21no—
1249C22×C4—21no—
1250C22×C4—21no—
1251C22×C4—21no—
1252C22×C4—21no—
1253C22×C4—21no—
1254C22×C4—21no—
1255C22×C4—21no—
1256C22×C4—21no—
1257C22×C4—21no—
1258C22×C4—21no—
1259C22×C4—21no—
1260C22×C4—21no—
1261C22×C4—21no—
1262C22×C4—21no—
1263C22×C4—21no—
1264C22×C4—21no—
1265C22×C4—21no—
1266C22×C4—21no—
1267C22×C4—21no—
1268C22×C4—21no—
1269C22×C4—21no—
1270C22×C4—21no—
1271C22×C4—21no—
1272C22×C4—21no—
1273C22×C4—21no—
1274C22×C4—21no—
1275C22×C4—21no—
1276C22×C4—21no—
1277C22×C4—21no—
1278C22×C4—21no—
1279C22×C4—21no—
1280C22×C4—21no—
1281C22×C4—21no—
1282C22×C4—21no—
1283C22×C4—21no—
1284C22×C4—21no—
1285C22×C4—21no—
1286C22×C4—21no—
1287C22×C4—21no—
1288C22×C4—21no—
1289C22×C4—21no—
1290C22×C4—21no—
1291C22×C4—21no—
1292C22×C4—21no—
1293C22×C4—21no—
1294C22×C4—21no—
1295C22×C4—21no—
1296C22×C4—21no—
1297C22×C4—21no—
1298C22×C4—21no—
1299C22×C4—21no—
1300C22×C4—21no—
1301C22×C4—21no—
1302C22×C4—21no—
1303C22×C4—21no—
1304C22×C4—21no—
1305C22×C4—21no—
1306C22×C4—21no—
1307C22×C4—21no—
1308C22×C4—21no—
1309C22×C4—21no—
1310C22×C4—21no—
1311C22×C4—21no—
1312C22×C4—21no—
1313C22×C4—21no—
1314C22×C4—21no—
1315C22×C4—21no—
1316C22×C4—21no—
1317C22×C4—21no—
1318C22×C4—21no—
1319C22×C4—21no—
1320C22×C4—21no—
1321C22×C4—21no—
1322C22×C4—21no—
1323C22×C4—21no—
1324C22×C4—21no—
1325C22×C4—21no—
1326C22×C4—21no—
1327C22×C4—21no—
1328C22×C4—21no—
1329C22×C4—21no—
1330C22×C4—21no—
1331C22×C4—44no—
1332C22×C4—44no—
1333C22×C4—44no—
1334C22×C4—44no—
1335C22×C4—82no—
1336C22×C4—82no—
1337C22×C4—82no—
1338C22×C4—82no—
1339C22×C4—82no—
1340C22×C4—82no—
1341C22×C4—82no—
1342C22×C4—82no—
1343C22×C4—82no—
1344C22×C4—82no—
1345C22×C4—82no—
1346C22×C4—82no—
1347C22×C4—82no—
1348C22×C4—82no—
1349C22×C4—82no—
1350C22×C4—82no—
1351C22×C4—82no—
1352C22×C4—82no—
1353C22×C4—82no—
1354C22×C4—82no—
1355C22×C4C22×D412yes—
1356C22×C4C22×D412yes—
1357C22×C4C22×D412yes—
1358C22×C4C22×D412yes—
1359C22×C4C22×D412yes—
1360C22×C4C22×D412yes—
1361C22×C4C22×D412yes—
1362C22×C4C22×D412yes—
1363C22×C4C22×D412yes—
1364C22×C4C22×D412yes—
1365C22×C4C22×D412yes—
1366C22×C4C22×D412yes—
1367C22×C4C22×D412yes—
1368C22×C4C22×D412yes—
1369C22×C4C22×D412yes—
1370C22×C4C22×D412yes—
1371C22×C4C2×#4112yes—
1372C22×C4C2×#4112yes—
1373C22×C4H(5,𝔽2)12yes—
1374C22×C4H(5,𝔽2)12yes—
1375C22×C4H(5,𝔽2)12yes—
1376C4⋊C4—28no—
1377C4⋊C4—28no—
1378C4⋊C4—28no—
1379C4⋊C4—28no—
1380C4⋊C4—28no—
1381C4⋊C4—44no—
1382C4⋊C4—44no—
1383C4⋊C4—44no—
1384C4⋊C4—44no—
1385C4⋊C4—44no—
1386C4⋊C4—44no—
1387C4⋊C4—82no—
1388C4⋊C4—82no—
1389C4⋊C4—82no—
1390C4⋊C4—82no—
1391C4⋊C4—82no—
1392C4⋊C4—82no—
1393C4⋊C4—82no—
1394C4⋊C4—82no—
1395C4⋊C4#120116yescomplemented
1396C22⋊C4—28no—
1397C22⋊C4—28no—
1398C22⋊C4—28no—
1399C22⋊C4—28no—
1400C22⋊C4—28no—
1401C22⋊C4—28no—
1402C22⋊C4—28no—
1403C22⋊C4—28no—
1404C22⋊C4—28no—
1405C22⋊C4—28no—
1406C22⋊C4—28no—
1407C22⋊C4—28no—
1408C22⋊C4—28no—
1409C22⋊C4—28no—
1410C22⋊C4—28no—
1411C22⋊C4—44no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—44no—
1415C22⋊C4—44no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C22⋊C4—44no—
1419C22⋊C4—44no—
1420C22⋊C4—44no—
1421C22⋊C4—44no—
1422C22⋊C4—44no—
1423C22⋊C4—44no—
1424C22⋊C4—44no—
1425C22⋊C4—44no—
1426C22⋊C4—44no—
1427C22⋊C4—82no—
1428C22⋊C4—82no—
1429C22⋊C4—82no—
1430C22⋊C4—82no—
1431C22⋊C4—82no—
1432C22⋊C4—82no—
1433C22⋊C4—82no—
1434C22⋊C4—82no—
1435C22⋊C4—82no—
1436C22⋊C4—82no—
1437C22⋊C4—82no—
1438C22⋊C4—82no—
1439C22⋊C4—82no—
1440C22⋊C4—82no—
1441C22⋊C4—82no—
1442C22⋊C4—82no—
1443C22⋊C4—82no—
1444C22⋊C4—82no—
1445C22⋊C4—82no—
1446C22⋊C4—82no—
1447C22⋊C4—82no—
1448C22⋊C4—82no—
1449C22⋊C4—82no—
1450C22⋊C4—82no—
1451C22⋊C4—82no—
1452C22⋊C4—82no—
1453C22⋊C4—82no—
1454C22⋊C4—82no—
1455C42—28no—
1456C42—28no—
1457C42—44no—
1458C42—44no—
1459C42—44no—
1460C42—44no—
1461C42—82no—
1462C42—82no—
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—22no—
1480C23—22no—
1481C23—22no—
1482C23—22no—
1483C23—22no—
1484C23—22no—
1485C23—22no—
1486C23—22no—
1487C23—22no—
1488C23—22no—
1489C23—22no—
1490C23—22no—
1491C23—22no—
1492C23—22no—
1493C23—22no—
1494C23—22no—
1495C23—22no—
1496C23—22no—
1497C23—22no—
1498C23—22no—
1499C23—22no—
1500C23—22no—
1501C23—22no—
1502C23—22no—
1503C23—22no—
1504C23—22no—
1505C23—22no—
1506C23—22no—
1507C23—22no—
1508C23—22no—
1509C23—416no—
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—41no—
1587C23—41no—
1588C23—41no—
1589C23—41no—
1590C23—41no—
1591C23—41no—
1592C23—41no—
1593C23—41no—
1594C23—41no—
1595C23—41no—
1596C23—41no—
1597C23—41no—
1598C23—41no—
1599C23—41no—
1600C23—41no—
1601C23—41no—
1602C23—41no—
1603C23—41no—
1604C23—41no—
1605C23—41no—
1606C23—41no—
1607C23—41no—
1608C23—41no—
1609C23—41no—
1610C23—41no—
1611C23—41no—
1612C23—41no—
1613C23—41no—
1614C23—41no—
1615C23—41no—
1616C23—41no—
1617C23—41no—
1618C23—41no—
1619C23—41no—
1620C23—41no—
1621C23—41no—
1622C23—41no—
1623C23—41no—
1624C23—41no—
1625C23—41no—
1626C23—41no—
1627C23—41no—
1628C23—41no—
1629C23—41no—
1630C23—41no—
1631C23—41no—
1632C23—41no—
1633C23—41no—
1634C23—41no—
1635C23—41no—
1636C23—41no—
1637C23—41no—
1638C23—41no—
1639C23—41no—
1640C23—41no—
1641C23—41no—
1642C23—41no—
1643C23—41no—
1644C23—41no—
1645C23—41no—
1646C23—41no—
1647C23—41no—
1648C23—41no—
1649C23—41no—
1650C23—41no—
1651C23—41no—
1652C23—41no—
1653C23—41no—
1654C23—41no—
1655C23—41no—
1656C23—41no—
1657C23—41no—
1658C23—41no—
1659C23—41no—
1660C23—41no—
1661C23—41no—
1662C23—41no—
1663C23—41no—
1664C23—41no—
1665C23—41no—
1666C23—41no—
1667C23—41no—
1668C23—41no—
1669C23—41no—
1670C23—41no—
1671C23—41no—
1672C23—41no—
1673C23—88no—
1674C23—88no—
1675C23—88no—
1676C23—88no—
1677C23—88no—
1678C23—88no—
1679C23—88no—
1680C23—88no—
1681C23—88no—
1682C23—88no—
1683C23—88no—
1684C23—88no—
1685C23—88no—
1686C23—88no—
1687C23#55014yes—
1688C23C23×D411yescharacteristic
1689C23C23×D411yescharacteristic
1690C23C23×D411yescharacteristic
1691C23C22×#4111yescharacteristic
1692C23C2×H(5,𝔽2)11yescharacteristic
1693C23C2×H(5,𝔽2)11yescharacteristic
1694C23C2×H(5,𝔽2)11yescharacteristic
1695C23C2×H(5,𝔽2)11yescharacteristic
1696C23#58511yescharacteristic
1697C23#58511yescharacteristic
1698C23#58511yescharacteristic
1699C23#58511yescharacteristic
1700C23#58511yescharacteristic
1701C23#58511yescharacteristic
1702C23#58511yescharacteristic
1703Q8—88no—
1704D4—416no—
1705D4—416no—
1706D4—88no—
1707D4—88no—
1708D4—88no—
1709D4—88no—
1710D4—88no—
1711D4—88no—
1712D4—88no—
1713D4—88no—
1714D4—88no—
1715D4—88no—
1716C2×C4—22no—
1717C2×C4—22no—
1718C2×C4—22no—
1719C2×C4—22no—
1720C2×C4—22no—
1721C2×C4—22no—
1722C2×C4—22no—
1723C2×C4—22no—
1724C2×C4—22no—
1725C2×C4—22no—
1726C2×C4—22no—
1727C2×C4—22no—
1728C2×C4—22no—
1729C2×C4—22no—
1730C2×C4—22no—
1731C2×C4—22no—
1732C2×C4—22no—
1733C2×C4—22no—
1734C2×C4—22no—
1735C2×C4—22no—
1736C2×C4—22no—
1737C2×C4—22no—
1738C2×C4—22no—
1739C2×C4—22no—
1740C2×C4—22no—
1741C2×C4—22no—
1742C2×C4—22no—
1743C2×C4—22no—
1744C2×C4—22no—
1745C2×C4—22no—
1746C2×C4—22no—
1747C2×C4—22no—
1748C2×C4—22no—
1749C2×C4—22no—
1750C2×C4—22no—
1751C2×C4—22no—
1752C2×C4—22no—
1753C2×C4—22no—
1754C2×C4—22no—
1755C2×C4—22no—
1756C2×C4—22no—
1757C2×C4—22no—
1758C2×C4—22no—
1759C2×C4—22no—
1760C2×C4—22no—
1761C2×C4—22no—
1762C2×C4—22no—
1763C2×C4—22no—
1764C2×C4—22no—
1765C2×C4—22no—
1766C2×C4—22no—
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—41no—
1801C2×C4—41no—
1802C2×C4—41no—
1803C2×C4—41no—
1804C2×C4—41no—
1805C2×C4—41no—
1806C2×C4—41no—
1807C2×C4—41no—
1808C2×C4—41no—
1809C2×C4—41no—
1810C2×C4—41no—
1811C2×C4—41no—
1812C2×C4—41no—
1813C2×C4—41no—
1814C2×C4—41no—
1815C2×C4—41no—
1816C2×C4—41no—
1817C2×C4—41no—
1818C2×C4—41no—
1819C2×C4—41no—
1820C2×C4—41no—
1821C2×C4—41no—
1822C2×C4—41no—
1823C2×C4—41no—
1824C2×C4—41no—
1825C2×C4—41no—
1826C2×C4—41no—
1827C2×C4—41no—
1828C2×C4—41no—
1829C2×C4—41no—
1830C2×C4—41no—
1831C2×C4—41no—
1832C2×C4—41no—
1833C2×C4—41no—
1834C2×C4—41no—
1835C2×C4—41no—
1836C2×C4—41no—
1837C2×C4—41no—
1838C2×C4—41no—
1839C2×C4—41no—
1840C2×C4—41no—
1841C2×C4—41no—
1842C2×C4—41no—
1843C2×C4—41no—
1844C2×C4—41no—
1845C2×C4—41no—
1846C2×C4—41no—
1847C2×C4—41no—
1848C2×C4—41no—
1849C2×C4—41no—
1850C2×C4—41no—
1851C2×C4—41no—
1852C2×C4—41no—
1853C2×C4—41no—
1854C2×C4—41no—
1855C2×C4—41no—
1856C2×C4—41no—
1857C2×C4—41no—
1858C2×C4—41no—
1859C2×C4—41no—
1860C2×C4—41no—
1861C2×C4—41no—
1862C2×C4—41no—
1863C2×C4—41no—
1864C2×C4—41no—
1865C2×C4—41no—
1866C2×C4—41no—
1867C2×C4—41no—
1868C2×C4—41no—
1869C2×C4—41no—
1870C2×C4—41no—
1871C2×C4—41no—
1872C2×C4—41no—
1873C2×C4—41no—
1874C2×C4—41no—
1875C2×C4—41no—
1876C2×C4—41no—
1877C2×C4—41no—
1878C2×C4—41no—
1879C2×C4—41no—
1880C2×C4—41no—
1881C2×C4—41no—
1882C2×C4—41no—
1883C2×C4—41no—
1884C2×C4—41no—
1885C2×C4—41no—
1886C2×C4—41no—
1887C2×C4—88no—
1888C2×C4—88no—
1889C2×C4—88no—
1890C2×C4—88no—
1891C2×C4C2×#12014yes—
1892C2×C4C2×#12014yes—
1893C2×C4C2×#12014yes—
1894C2×C4#53814yescomplemented
1895C22—24no—
1896C22—24no—
1897C22—24no—
1898C22—42no—
1899C22—42no—
1900C22—42no—
1901C22—42no—
1902C22—42no—
1903C22—42no—
1904C22—42no—
1905C22—42no—
1906C22—42no—
1907C22—42no—
1908C22—42no—
1909C22—42no—
1910C22—42no—
1911C22—42no—
1912C22—42no—
1913C22—42no—
1914C22—42no—
1915C22—42no—
1916C22—42no—
1917C22—42no—
1918C22—42no—
1919C22—42no—
1920C22—42no—
1921C22—42no—
1922C22—42no—
1923C22—42no—
1924C22—42no—
1925C22—42no—
1926C22—42no—
1927C22—42no—
1928C22—42no—
1929C22—42no—
1930C22—42no—
1931C22—42no—
1932C22—42no—
1933C22—42no—
1934C22—42no—
1935C22—42no—
1936C22—42no—
1937C22—42no—
1938C22—832no—
1939C22—81no—
1940C22—81no—
1941C22—81no—
1942C22—81no—
1943C22—81no—
1944C22—81no—
1945C22—81no—
1946C22—81no—
1947C22—81no—
1948C22—81no—
1949C22—81no—
1950C22—81no—
1951C22—81no—
1952C22—81no—
1953C22—81no—
1954C22—81no—
1955C22—81no—
1956C22—81no—
1957C22—81no—
1958C22—81no—
1959C22—81no—
1960C22—81no—
1961C22—81no—
1962C22—81no—
1963C22—81no—
1964C22—81no—
1965C22—81no—
1966C22—81no—
1967C22—81no—
1968C22—81no—
1969C22—81no—
1970C22—81no—
1971C22—81no—
1972C22—81no—
1973C22—81no—
1974C22—81no—
1975C22—81no—
1976C22—81no—
1977C22—81no—
1978C22—81no—
1979C22—81no—
1980C22—81no—
1981C22—81no—
1982C22—81no—
1983C22—81no—
1984C22—81no—
1985C22—81no—
1986C22C22×#12011yescharacteristic
1987C22C2×#53811yescharacteristic
1988C22C2×#55011yescharacteristic
1989C22D4×#4111yescharacteristic
1990C22D4×#4111yescharacteristic
1991C22#348511yescharacteristic
1992C22#348511yescharacteristic
1993C22#348711yescharacteristic
1994C22#348811yescharacteristic
1995C22#348811yescharacteristic
1996C22#348811yescharacteristic
1997C22#348811yescharacteristic
1998C22#348811yescharacteristic
1999C22#349611yescharacteristic
2000C22#349611yescharacteristic
2001C22#349611yescharacteristic
2002C22#349611yescharacteristic
2003C22#349811yescharacteristic
2004C22#350011yescharacteristic
2005C22#350011yescharacteristic
2006C22#350611yescharacteristic
2007C22#352111yescharacteristic
2008C22#352111yescharacteristic
2009C22#353311yescharacteristic
2010C22#353311yescharacteristic
2011C22#353711yescharacteristic
2012C22#354011yescharacteristic
2013C22#354011yescharacteristic
2014C22#355111yescharacteristic
2015C22#355811yescharacteristic
2016C22#356011yescharacteristic
2017C22#356011yescharacteristic
2018C22#356011yescharacteristic
2019C22#356611yescharacteristic
2020C22#356811yescharacteristic
2021C4—24no—
2022C4—24no—
2023C4—24no—
2024C4—24no—
2025C4—42no—
2026C4—42no—
2027C4—42no—
2028C4—42no—
2029C4—42no—
2030C4—42no—
2031C4—42no—
2032C4—42no—
2033C4—42no—
2034C4—81no—
2035C4—81no—
2036C4—81no—
2037C4—81no—
2038C4—81no—
2039C4—81no—
2040C4—81no—
2041C4—81no—
2042C4—81no—
2043C4—81no—
2044C4—81no—
2045C4—81no—
2046C2—44no—
2047C2—82no—
2048C2—82no—
2049C2—82no—
2050C2—82no—
2051C2—161no—
2052C2#3551311yescharacteristic
2053C2#3575011yescharacteristic
2054C2#3642911yescharacteristic
2055C2#3772511yescharacteristic
2056C2#3938311yescharacteristic
2057C2#3940811yescharacteristic
2058C2#4304211yescharacteristic
2059C2#4418211yescharacteristic
2060C2#4445111yescharacteristic
2061C2#4638111yescharacteristic
2062C2#4721211yescharacteristic
2063C2#4768611yescharacteristic
2064C2#4786611yescharacteristic
2065C2#4957111yescharacteristic
2066C2#5064011yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C24 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C22×#538C2semidirect
2. C2×#2714C2semidirect
3. C2×#2702C2semidirect
4. C2×#2512C2semidirect
5. #16680C2semidirect
6. #16500C2semidirect
7. #16257C2semidirect
8. #16094C2semidirect
9. #15928C2semidirect
10. #15913C2semidirect
11. #15674C2semidirect
12. #15317C2semidirect
13. #15315C2semidirect
14. #15281C2semidirect
15. #15272C2semidirect
16. #15271C2semidirect
17. #15268C2semidirect
18. #15267C2semidirect
19. #15267C2semidirect
20. #15217C2semidirect
21. #15130C2semidirect
22. #14820C2semidirect
23. #14806C2semidirect
24. #14760C2semidirect
25. #14732C2semidirect
26. #14493C2semidirect
27. #14185C2semidirect
28. #14176C2semidirect
29. #14099C2semidirect
30. #13998C2semidirect
31. #13995C2semidirect
37. C22×#126C22semidirect
55. C2×#400C22semidirect
56. C2×#398C22semidirect
59. C2×#397C22semidirect
61. C2×#396C22semidirect
62. C2×#396C22semidirect
71. C2×#394C22semidirect
72. C2×#393C22semidirect
79. C2×#392C22semidirect
80. C2×#391C22semidirect
81. C2×#391C22semidirect
90. C2×#390C22semidirect
91. C2×#390C22semidirect
92. C2×#389C22semidirect
93. C2×#389C22semidirect
97. C2×#388C22semidirect
98. C2×#388C22semidirect
99. C2×#388C22semidirect
100. C2×#387C22semidirect
103. C2×#386C22semidirect
104. C2×#386C22semidirect
106. C2×#385C22semidirect
107. C2×#385C22semidirect
108. C2×#384C22semidirect
110. C2×#380C22semidirect
114. C2×C4×C4⋊C4C22semidirect
115. C2×C4×C4⋊C4C22semidirect
117. C2×C4×C22⋊C4C22semidirect
118. #1446C22semidirect
119. #1445C22semidirect
120. #1444C22semidirect
121. #1441C22semidirect
122. #1441C22semidirect
123. #1441C22semidirect
124. #1441C22semidirect
130. #1440C22semidirect
131. #1440C22semidirect
132. #1440C22semidirect
133. #1440C22semidirect
148. #1439C22semidirect
149. #1439C22semidirect
150. #1439C22semidirect
151. #1439C22semidirect
152. #1439C22semidirect
153. #1439C22semidirect
154. #1439C22semidirect
167. #1438C22semidirect
168. #1438C22semidirect
169. #1438C22semidirect
170. #1438C22semidirect
176. #1437C22semidirect
177. #1437C22semidirect
178. #1436C22semidirect
179. #1436C22semidirect
180. #1436C22semidirect
181. #1436C22semidirect
182. #1436C22semidirect
183. #1436C22semidirect
184. #1436C22semidirect
185. C4⋊#95C22semidirect
186. C4⋊#95C22semidirect
187. #1434C22semidirect
191. C22⋊#95C22semidirect
192. C22⋊#95C22semidirect
220. C2×#126D4semidirect
235. C2×C22⋊Q8D4semidirect
244. C2×#121D4semidirect
1395. C4⋊C4#120semidirect
1894. C2×C4#538semidirect

Maximal subgroups

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

subgroupindex
C22×#5382
C2×#27142
C2×#27022
C2×#25122
#166802
#165002
#162572
#160942
#159282
#159132
#156742
#153172
#153152
#152812
#152722
#152712
#152682
#152672
#152172
#151302
#148202
#148062
#147602
#147322
#144932
#141852
#141762
#140992
#139982
#139952