Finite Group Databasebeta

← #781995

Subgroups — #781995

Order 512.

5638 conjugacy classes of subgroups.

The subgroup lattice has 2149 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#546C211yesmaximal, characteristic
2C2×#2559C211yesmaximal, characteristic, complemented
3C2×#2553C211yesmaximal, characteristic, complemented
4C2×#2480C211yesmaximal, characteristic, complemented
5#16501C211yesmaximal, characteristic, complemented
6#16255C211yesmaximal, characteristic, complemented
7#15784C211yesmaximal, characteristic, complemented
8#15670C211yesmaximal, characteristic, complemented
9#15614C211yesmaximal, characteristic, complemented
10#15312C211yesmaximal, characteristic, complemented
11#15311C211yesmaximal, characteristic, complemented
12#15283C211yesmaximal, characteristic, complemented
13#15277C211yesmaximal, characteristic, complemented
14#15268C211yesmaximal, characteristic, complemented
15#15219C211yesmaximal, characteristic, complemented
16#14964C211yesmaximal, characteristic, complemented
17#14889C211yesmaximal, characteristic, complemented
18#14825C211yesmaximal, characteristic, complemented
19#14761C211yesmaximal, characteristic, complemented
20#14725C211yesmaximal, characteristic, complemented
21#14724C211yesmaximal, characteristic, complemented
22#14185C211yesmaximal, characteristic, complemented
23#14185C211yesmaximal, characteristic, complemented
24#14173C211yesmaximal, characteristic, complemented
25#14100C211yesmaximal, characteristic, complemented
26#14096C211yesmaximal, characteristic, complemented
27#13991C211yesmaximal, characteristic, complemented
28#13971C211yesmaximal, characteristic, complemented
29#13867C211yesmaximal, characteristic, complemented
30#13851C211yesmaximal, characteristic, complemented
31C22⋊C42C211yesmaximal, characteristic, complemented
32C23×#41C2211yescharacteristic
33C24×D4C2211yescharacteristic
34C2×#546—28no—
35C2×#546—28no—
36C2×#546—28no—
37C22×#126C2211yescharacteristic, complemented
38C22×#124C2211yescharacteristic
39C22×#123C2211yescharacteristic
40C22×#123C2211yescharacteristic
41C22×C22⋊Q8C2211yescharacteristic
42C22×#121C2211yescharacteristic
43C22×#121C2211yescharacteristic
44C22×#121C2211yescharacteristic
45C22×#120C2211yescharacteristic
46C22×#120C2211yescharacteristic
47C22×C4×D4C2211yescharacteristic
48C22×C4×D4C2211yescharacteristic
49C23×C22⋊C4C2211yescharacteristic
50C23×C22⋊C4C2211yescharacteristic
51C23×C22⋊C4C2211yescharacteristic
52#2559—28no—
53#2553—28no—
54#2480—28no—
55C2×#400C2211yescharacteristic, complemented
56C2×#399C2211yescharacteristic, complemented
57C2×#398C2211yescharacteristic, complemented
58C2×#397C2211yescharacteristic
59C2×#397C2211yescharacteristic, complemented
60C2×#397C2211yescharacteristic, complemented
61C2×#397C2211yescharacteristic, complemented
62C2×#396C2211yescharacteristic
63C2×#395C2211yescharacteristic, complemented
64C2×#394C2211yescharacteristic
65C2×#394C2211yescharacteristic
66C2×#394C2211yescharacteristic
67C2×#394C2211yescharacteristic
68C2×#394C2211yescharacteristic
69C2×#394C2211yescharacteristic
70C2×#394C2211yescharacteristic, complemented
71C2×#394C2211yescharacteristic, complemented
72C2×#394C2211yescharacteristic, complemented
73C2×#394C2211yescharacteristic, complemented
74C2×#390C2211yescharacteristic, complemented
75C2×#390C2211yescharacteristic, complemented
76C2×#389C2211yescharacteristic, complemented
77C2×#389C2211yescharacteristic, complemented
78C2×#388C2211yescharacteristic
79C2×#388C2211yescharacteristic
80C2×#388C2211yescharacteristic, complemented
81C2×#388C2211yescharacteristic, complemented
82C2×#388C2211yescharacteristic, complemented
83C2×#388C2211yescharacteristic, complemented
84C2×#387C2211yescharacteristic, complemented
85C2×#386C2211yescharacteristic
86C2×#386C2211yescharacteristic
87C2×#386C2211yescharacteristic
88C2×#386C2211yescharacteristic
89C2×#386C2211yescharacteristic, complemented
90C2×#386C2211yescharacteristic, complemented
91C2×#385C2211yescharacteristic
92C2×#385C2211yescharacteristic, complemented
93C2×#385C2211yescharacteristic, complemented
94C2×#385C2211yescharacteristic, complemented
95C2×#385C2211yescharacteristic, complemented
96C2×#385C2211yescharacteristic, complemented
97C2×#382C2211yescharacteristic, complemented
98C2×#380C2211yescharacteristic, complemented
99C2×#380C2211yescharacteristic, complemented
100C2×#379C2211yescharacteristic
101C2×#379C2211yescharacteristic
102C2×#379C2211yescharacteristic
103C2×#379C2211yescharacteristic
104C2×#379C2211yescharacteristic
105C2×#379C2211yescharacteristic
106C2×#379C2211yescharacteristic
107C2×C4×C22⋊C4C2211yescharacteristic, complemented
108C2×C4×C22⋊C4C2211yescharacteristic, complemented
109C2×C4×C22⋊C4C2211yescharacteristic, complemented
110C2×C4×C22⋊C4C2211yescharacteristic, complemented
111C2×C4×C22⋊C4C2211yescharacteristic, complemented
112C2×C4×C22⋊C4C2211yescharacteristic, complemented
113C2×C4×C22⋊C4C2211yescharacteristic, complemented
114C2×C4×C22⋊C4C2211yescharacteristic, complemented
115C2×C4×C22⋊C4C2211yescharacteristic, complemented
116#1446C2211yescharacteristic, complemented
117#1446C2211yescharacteristic, complemented
118#1446C2211yescharacteristic, complemented
119#1445C2211yescharacteristic, complemented
120#1444C2211yescharacteristic, complemented
121#1442C2211yescharacteristic, complemented
122#1442C2211yescharacteristic, complemented
123#1441C2211yescharacteristic, complemented
124#1441C2211yescharacteristic, complemented
125#1440C2211yescharacteristic
126#1440C2211yescharacteristic
127#1440C2211yescharacteristic, complemented
128#1440C2211yescharacteristic, complemented
129#1440C2211yescharacteristic, complemented
130#1440C2211yescharacteristic, complemented
131#1440C2211yescharacteristic, complemented
132#1440C2211yescharacteristic, complemented
133#1440C2211yescharacteristic, complemented
134#1439C2211yescharacteristic
135#1439C2211yescharacteristic
136#1439C2211yescharacteristic, complemented
137#1439C2211yescharacteristic, complemented
138#1439C2211yescharacteristic, complemented
139#1439C2211yescharacteristic, complemented
140#1439C2211yescharacteristic, complemented
141#1439C2211yescharacteristic, complemented
142#1439C2211yescharacteristic, complemented
143#1439C2211yescharacteristic, complemented
144#1439C2211yescharacteristic, complemented
145#1439C2211yescharacteristic, complemented
146#1439C2211yescharacteristic, complemented
147#1438C2211yescharacteristic
148#1438C2211yescharacteristic
149#1438C2211yescharacteristic
150#1438C2211yescharacteristic
151#1438C2211yescharacteristic
152#1438C2211yescharacteristic
153#1438C2211yescharacteristic
154#1438C2211yescharacteristic
155#1438C2211yescharacteristic
156#1438C2211yescharacteristic
157#1438C2211yescharacteristic, complemented
158#1438C2211yescharacteristic, complemented
159#1438C2211yescharacteristic, complemented
160#1438C2211yescharacteristic, complemented
161#1438C2211yescharacteristic, complemented
162#1438C2211yescharacteristic, complemented
163#1438C2211yescharacteristic, complemented
164#1438C2211yescharacteristic, complemented
165#1437C2211yescharacteristic
166#1437C2211yescharacteristic
167#1437C2211yescharacteristic
168#1437C2211yescharacteristic
169#1437C2211yescharacteristic, complemented
170#1437C2211yescharacteristic, complemented
171#1437C2211yescharacteristic, complemented
172#1436C2211yescharacteristic, complemented
173#1436C2211yescharacteristic, complemented
174#1436C2211yescharacteristic, complemented
175#1436C2211yescharacteristic, complemented
176#1436C2211yescharacteristic, complemented
177#1436C2211yescharacteristic, complemented
178#1436C2211yescharacteristic, complemented
179C4⋊#95C2211yescharacteristic, complemented
180C22⋊#95C2211yescharacteristic
181C22⋊#95C2211yescharacteristic
182C22⋊#95C2211yescharacteristic
183C22⋊#95C2211yescharacteristic, complemented
184C22⋊#95C2211yescharacteristic, complemented
185C22⋊#95C2211yescharacteristic, complemented
186C22⋊#95C2211yescharacteristic, complemented
187C22⋊#95C2211yescharacteristic, complemented
188C22⋊#95C2211yescharacteristic, complemented
189C22⋊#95C2211yescharacteristic, complemented
190C22⋊#95C2211yescharacteristic, complemented
191C22⋊#95C2211yescharacteristic, complemented
192C22⋊#95C2211yescharacteristic, complemented
193C26C2311yescharacteristic
194C26C2311yescharacteristic
195C22×#41—24no—
196C22×#41—24no—
197C22×#41—24no—
198C22×#41—24no—
199C22×#41—42no—
200C22×#41—42no—
201C22×#41—42no—
202C23×Q8C2311yescharacteristic
203C23×D4—24no—
204C23×D4—24no—
205C23×D4—24no—
206C23×D4—24no—
207C23×D4—42no—
208C23×D4—42no—
209C23×D4—42no—
210C23×D4C2311yescharacteristic
211C23×D4C2311yescharacteristic
212C23×D4C2311yescharacteristic
213C23×D4C2311yescharacteristic
214C23×D4C2311yescharacteristic
215C23×D4C2311yescharacteristic
216C23×D4C2311yescharacteristic
217C23×D4C2311yescharacteristic
218C23×D4C2311yescharacteristic
219C24×C4C2311yescharacteristic
220C24×C4C2311yescharacteristic
221C24×C4C2311yescharacteristic
222C24×C4C2311yescharacteristic
223C24×C4C2311yescharacteristic
224C24×C4C2311yescharacteristic
225C24×C4C2311yescharacteristic
226C24×C4C2311yescharacteristic
227#546—2128no—
228C2×#126—24no—
229C2×#126—24no—
230C2×#126—24no—
231C2×#124—24no—
232C2×#124—24no—
233C2×#124—24no—
234C2×#123—24no—
235C2×#123—24no—
236C2×#123—24no—
237C2×#123—24no—
238C2×#123—24no—
239C2×#123D418yes—
240C2×C22⋊Q8—24no—
241C2×C22⋊Q8—24no—
242C2×C22⋊Q8—24no—
243C2×#121—24no—
244C2×#121—24no—
245C2×#121—24no—
246C2×#121—24no—
247C2×#121—24no—
248C2×#121—24no—
249C2×#121—24no—
250C2×#121—24no—
251C2×#121D418yes—
252C2×#120—24no—
253C2×#120—24no—
254C2×#120—24no—
255C2×#120—24no—
256C2×#120—24no—
257C2×#120—24no—
258C2×C4×D4—24no—
259C2×C4×D4—24no—
260C2×C4×D4—24no—
261C2×C4×D4—24no—
262C2×C4×D4—24no—
263C2×C4×D4—24no—
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⋊C4—24no—
284C22×C22⋊C4—24no—
285C22×C22⋊C4—24no—
286C22×C22⋊C4—42no—
287C22×C22⋊C4—42no—
288C22×C22⋊C4D418yes—
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×C22⋊C4C2311yescharacteristic
343C22×C22⋊C4C2311yescharacteristic
344C22×C22⋊C4C2311yescharacteristic
345C22×C22⋊C4C2311yescharacteristic
346C22×C22⋊C4C2311yescharacteristic
347C22×C42C2311yescharacteristic
348C22×C42C2311yescharacteristic
349C22×C42C2311yescharacteristic
350C22×C42C2311yescharacteristic
351C22×C42C2311yescharacteristic
352C22×C42C2311yescharacteristic
353C22×C42C2311yescharacteristic
354#400—24no—
355#399—24no—
356#398—24no—
357#397—24no—
358#397—24no—
359#397—24no—
360#397—24no—
361#396—24no—
362#395—42no—
363#394—24no—
364#394—24no—
365#394—24no—
366#394—24no—
367#394—24no—
368#394—24no—
369#394—24no—
370#394—42no—
371#394—42no—
372#394—42no—
373#390—24no—
374#390—42no—
375#389—24no—
376#389—24no—
377#388—24no—
378#388—24no—
379#388—24no—
380#388—24no—
381#388—24no—
382#388—24no—
383#387—24no—
384#386—24no—
385#386—24no—
386#386—24no—
387#386—42no—
388#386—42no—
389#386—42no—
390#385—24no—
391#385—24no—
392#385—24no—
393#385—24no—
394#385—42no—
395#385—42no—
396#382—24no—
397#380—24no—
398#380—24no—
399#379—24no—
400#379—24no—
401#379—24no—
402#379—24no—
403#379—24no—
404#379—42no—
405#379—42no—
406C4×C22⋊C4—24no—
407C4×C22⋊C4—24no—
408C4×C22⋊C4—24no—
409C4×C22⋊C4—24no—
410C4×C22⋊C4—24no—
411C4×C22⋊C4—42no—
412C4×C22⋊C4—42no—
413C4×C22⋊C4—42no—
414C4×C22⋊C4—42no—
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
463C2×#95C2311yescharacteristic
464C2×#95C2311yescharacteristic
465C2×#95C2311yescharacteristic
466C2×#95C2311yescharacteristic
467C2×#95C2311yescharacteristic
468C2×#95C2311yescharacteristic
469C25—22no—
470C25—22no—
471C25—22no—
472C25—22no—
473C25—22no—
474C25—22no—
475C25—22no—
476C25—22no—
477C25—22no—
478C25—22no—
479C25—22no—
480C25—22no—
481C25—22no—
482C25—41no—
483C25—41no—
484C25—41no—
485C25—41no—
486C25—41no—
487C25—41no—
488C25—41no—
489C25—41no—
490C25—41no—
491C25—41no—
492C25—41no—
493C25—41no—
494C25—41no—
495C25—41no—
496C25—41no—
497C25—41no—
498C25C2×D414yes—
499C25C2411yescharacteristic
500C25C2411yescharacteristic
501C25C2411yescharacteristic
502C25C2411yescharacteristic
503C25C2411yescharacteristic
504C25C2411yescharacteristic
505C2×#41—232no—
506C2×#41—416no—
507C2×#41—416no—
508C2×#41—416no—
509C2×#41—416no—
510C2×#41—416no—
511C2×#41—416no—
512C22×Q8—22no—
513C22×Q8—22no—
514C22×Q8—22no—
515C22×Q8—22no—
516C22×Q8—22no—
517C22×Q8—41no—
518C22×Q8—41no—
519C22×D4—22no—
520C22×D4—22no—
521C22×D4—22no—
522C22×D4—22no—
523C22×D4—232no—
524C22×D4—22no—
525C22×D4—22no—
526C22×D4—22no—
527C22×D4—22no—
528C22×D4—22no—
529C22×D4—22no—
530C22×D4—22no—
531C22×D4—22no—
532C22×D4—22no—
533C22×D4—22no—
534C22×D4—22no—
535C22×D4—22no—
536C22×D4—22no—
537C22×D4—22no—
538C22×D4—22no—
539C22×D4—22no—
540C22×D4—22no—
541C22×D4—22no—
542C22×D4—22no—
543C22×D4—22no—
544C22×D4—22no—
545C22×D4—22no—
546C22×D4—22no—
547C22×D4—22no—
548C22×D4—22no—
549C22×D4—22no—
550C22×D4—22no—
551C22×D4—22no—
552C22×D4—22no—
553C22×D4—22no—
554C22×D4—22no—
555C22×D4—22no—
556C22×D4—22no—
557C22×D4—22no—
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×D4—41no—
573C22×D4—41no—
574C22×D4—41no—
575C22×D4—41no—
576C22×D4—41no—
577C22×D4—41no—
578C22×D4—416no—
579C22×D4—416no—
580C22×D4—416no—
581C22×D4—416no—
582C22×D4—416no—
583C22×D4—416no—
584C22×D4C2×D414yes—
585C22×D4C2×D414yes—
586C22×D4C2×D414yes—
587C22×D4C2×D414yes—
588C22×D4#4114yes—
589C23×C4—22no—
590C23×C4—22no—
591C23×C4—22no—
592C23×C4—22no—
593C23×C4—22no—
594C23×C4—22no—
595C23×C4—22no—
596C23×C4—22no—
597C23×C4—22no—
598C23×C4—22no—
599C23×C4—22no—
600C23×C4—22no—
601C23×C4—22no—
602C23×C4—22no—
603C23×C4—22no—
604C23×C4—22no—
605C23×C4—22no—
606C23×C4—22no—
607C23×C4—22no—
608C23×C4—22no—
609C23×C4—22no—
610C23×C4—22no—
611C23×C4—22no—
612C23×C4—22no—
613C23×C4—22no—
614C23×C4—22no—
615C23×C4—22no—
616C23×C4—41no—
617C23×C4—41no—
618C23×C4—41no—
619C23×C4—41no—
620C23×C4—41no—
621C23×C4—41no—
622C23×C4—41no—
623C23×C4—41no—
624C23×C4—41no—
625C23×C4—41no—
626C23×C4—41no—
627C23×C4—41no—
628C23×C4—41no—
629C23×C4—41no—
630C23×C4—41no—
631C23×C4—41no—
632C23×C4—41no—
633C23×C4—41no—
634C23×C4—41no—
635C23×C4—41no—
636C23×C4—41no—
637C23×C4—41no—
638C23×C4—41no—
639C23×C4—41no—
640C23×C4—41no—
641C23×C4C2×D414yes—
642C23×C4C2×D414yes—
643C23×C4C2×D414yes—
644C23×C4C2×D414yes—
645C23×C4C2411yescharacteristic
646C23×C4C2411yescharacteristic
647C23×C4C2411yescharacteristic
648C23×C4C2411yescharacteristic
649C23×C4C2411yescharacteristic
650C23×C4C2411yescharacteristic
651C23×C4C2411yescharacteristic
652C23×C4C2411yescharacteristic
653C23×C4C2411yescharacteristic
654C23×C4C2411yescharacteristic
655C23×C4C2411yescharacteristic
656C23×C4C2411yescharacteristic
657C23×C4C2411yescharacteristic
658C23×C4C2411yescharacteristic
659C23×C4C2411yescharacteristic
660C23×C4C2411yescharacteristic
661C23×C4C2411yescharacteristic
662C23×C4C2411yescharacteristic
663C23×C4C2411yescharacteristic
664C23×C4C2411yescharacteristic
665C23×C4C2411yescharacteristic
666C23×C4C2411yescharacteristic
667C23×C4C2411yescharacteristic
668C23×C4C2411yescharacteristic
669C23×C4C2411yescharacteristic
670#126—416no—
671#124—232no—
672#123—232no—
673#123—232no—
674C22⋊Q8—232no—
675#121—232no—
676#121—232no—
677#121—232no—
678#120—232no—
679#120—232no—
680C4×D4—232no—
681C4×D4—232no—
682C2×C4⋊C4—22no—
683C2×C4⋊C4—22no—
684C2×C4⋊C4—22no—
685C2×C4⋊C4—22no—
686C2×C4⋊C4—22no—
687C2×C4⋊C4—22no—
688C2×C4⋊C4—22no—
689C2×C4⋊C4—22no—
690C2×C4⋊C4—22no—
691C2×C4⋊C4—22no—
692C2×C4⋊C4—22no—
693C2×C4⋊C4—22no—
694C2×C4⋊C4—22no—
695C2×C4⋊C4—22no—
696C2×C4⋊C4—22no—
697C2×C4⋊C4—22no—
698C2×C4⋊C4—22no—
699C2×C4⋊C4—22no—
700C2×C4⋊C4—22no—
701C2×C4⋊C4—22no—
702C2×C4⋊C4—22no—
703C2×C4⋊C4—22no—
704C2×C4⋊C4—22no—
705C2×C4⋊C4—22no—
706C2×C4⋊C4—22no—
707C2×C4⋊C4—22no—
708C2×C4⋊C4—22no—
709C2×C4⋊C4—22no—
710C2×C4⋊C4—22no—
711C2×C4⋊C4—22no—
712C2×C4⋊C4—22no—
713C2×C4⋊C4—41no—
714C2×C4⋊C4—41no—
715C2×C4⋊C4—41no—
716C2×C4⋊C4—41no—
717C2×C4⋊C4—41no—
718C2×C4⋊C4—41no—
719C2×C4⋊C4—41no—
720C2×C4⋊C4—41no—
721C2×C4⋊C4—41no—
722C2×C4⋊C4—41no—
723C2×C4⋊C4—41no—
724C2×C4⋊C4—41no—
725C2×C4⋊C4—41no—
726C2×C4⋊C4—41no—
727C2×C4⋊C4C2×D414yes—
728C2×C4⋊C4C2×D414yes—
729C2×C4⋊C4C2×D414yes—
730C2×C22⋊C4—232no—
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—232no—
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—22no—
799C2×C22⋊C4—22no—
800C2×C22⋊C4—22no—
801C2×C22⋊C4—22no—
802C2×C22⋊C4—22no—
803C2×C22⋊C4—22no—
804C2×C22⋊C4—22no—
805C2×C22⋊C4—22no—
806C2×C22⋊C4—22no—
807C2×C22⋊C4—22no—
808C2×C22⋊C4—22no—
809C2×C22⋊C4—22no—
810C2×C22⋊C4—22no—
811C2×C22⋊C4—22no—
812C2×C22⋊C4—22no—
813C2×C22⋊C4—22no—
814C2×C22⋊C4—22no—
815C2×C22⋊C4—22no—
816C2×C22⋊C4—22no—
817C2×C22⋊C4—22no—
818C2×C22⋊C4—22no—
819C2×C22⋊C4—22no—
820C2×C22⋊C4—22no—
821C2×C22⋊C4—22no—
822C2×C22⋊C4—22no—
823C2×C22⋊C4—22no—
824C2×C22⋊C4—22no—
825C2×C22⋊C4—22no—
826C2×C22⋊C4—22no—
827C2×C22⋊C4—22no—
828C2×C22⋊C4—22no—
829C2×C22⋊C4—22no—
830C2×C22⋊C4—416no—
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⋊C4—41no—
875C2×C22⋊C4—41no—
876C2×C22⋊C4—41no—
877C2×C22⋊C4—41no—
878C2×C22⋊C4—41no—
879C2×C22⋊C4—41no—
880C2×C22⋊C4—41no—
881C2×C22⋊C4—41no—
882C2×C22⋊C4—41no—
883C2×C22⋊C4—41no—
884C2×C22⋊C4—41no—
885C2×C22⋊C4—41no—
886C2×C22⋊C4—41no—
887C2×C22⋊C4—41no—
888C2×C22⋊C4—41no—
889C2×C22⋊C4—41no—
890C2×C22⋊C4—41no—
891C2×C22⋊C4—41no—
892C2×C22⋊C4—41no—
893C2×C22⋊C4—41no—
894C2×C22⋊C4—41no—
895C2×C22⋊C4—41no—
896C2×C22⋊C4C2×D414yes—
897C2×C22⋊C4C2×D414yes—
898C2×C22⋊C4C2×D414yes—
899C2×C22⋊C4C2×D414yes—
900C2×C22⋊C4C2×D414yes—
901C2×C22⋊C4C2×D414yes—
902C2×C22⋊C4C2×D414yes—
903C2×C22⋊C4C2×D414yes—
904C2×C22⋊C4C2×D414yes—
905C2×C22⋊C4#4114yescomplemented
906C2×C22⋊C4#4114yescomplemented
907C2×C42—22no—
908C2×C42—22no—
909C2×C42—22no—
910C2×C42—22no—
911C2×C42—22no—
912C2×C42—22no—
913C2×C42—22no—
914C2×C42—22no—
915C2×C42—22no—
916C2×C42—22no—
917C2×C42—22no—
918C2×C42—22no—
919C2×C42—41no—
920C2×C42—41no—
921C2×C42—41no—
922C2×C42—41no—
923C2×C42—41no—
924C2×C42—41no—
925C2×C42—41no—
926C2×C42—41no—
927C2×C42—41no—
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—22no—
937#95—22no—
938#95—22no—
939#95—22no—
940#95—22no—
941#95—22no—
942#95—22no—
943#95—22no—
944#95—22no—
945#95—22no—
946#95—22no—
947#95—22no—
948#95—22no—
949#95—22no—
950#95—22no—
951#95—22no—
952#95—22no—
953#95—22no—
954#95—22no—
955#95—22no—
956#95—22no—
957#95—22no—
958#95—22no—
959#95—22no—
960#95—22no—
961#95—22no—
962#95—41no—
963#95—41no—
964#95—41no—
965#95—41no—
966#95—41no—
967#95—41no—
968#95—41no—
969#95—41no—
970#95—41no—
971#95—41no—
972#95—41no—
973#95—41no—
974#95—41no—
975#95—41no—
976#95—41no—
977#95—41no—
978#95—41no—
979#95—41no—
980#95—41no—
981#95—41no—
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—28no—
1031C24—21no—
1032C24—21no—
1033C24—21no—
1034C24—21no—
1035C24—21no—
1036C24—21no—
1037C24—21no—
1038C24—21no—
1039C24—21no—
1040C24—21no—
1041C24—21no—
1042C24—21no—
1043C24—21no—
1044C24—21no—
1045C24—21no—
1046C24—21no—
1047C24—21no—
1048C24—21no—
1049C24—21no—
1050C24—21no—
1051C24—21no—
1052C24—21no—
1053C24—21no—
1054C24—21no—
1055C24—21no—
1056C24—21no—
1057C24—21no—
1058C24—21no—
1059C24—28no—
1060C24—28no—
1061C24—28no—
1062C24—44no—
1063C24—44no—
1064C24—44no—
1065C24—44no—
1066C24—44no—
1067C24—44no—
1068C24—44no—
1069C24—44no—
1070C24—44no—
1071C24—44no—
1072C24—44no—
1073C24—44no—
1074C24—44no—
1075C24—44no—
1076C24—44no—
1077C24—44no—
1078C24—44no—
1079C24—44no—
1080C24—44no—
1081C24—44no—
1082C24—44no—
1083C24—44no—
1084C24—44no—
1085C24—44no—
1086C24—44no—
1087C24—44no—
1088C24—44no—
1089C24—44no—
1090C24—44no—
1091C24—44no—
1092C24—44no—
1093C24—44no—
1094C24—82no—
1095C24—82no—
1096C24—82no—
1097C24—82no—
1098C24—82no—
1099C24—82no—
1100C24—82no—
1101C24—82no—
1102C24—82no—
1103C24—82no—
1104C24—82no—
1105C24—82no—
1106C24—82no—
1107C24—82no—
1108C24—82no—
1109C24—82no—
1110C24—82no—
1111C24—82no—
1112C24—82no—
1113C24—82no—
1114C24—82no—
1115C24—82no—
1116C24—82no—
1117C24—82no—
1118C24—82no—
1119C24—82no—
1120C24—82no—
1121C24—82no—
1122C24—82no—
1123C24—82no—
1124C24—82no—
1125C24—82no—
1126C24—82no—
1127C24—82no—
1128C24C22×D412yes—
1129C24C22×D412yes—
1130C24C22×D412yes—
1131C24C22×D412yes—
1132C24C22×D412yes—
1133C24C22×D412yes—
1134C24C22×D412yes—
1135C24C22×D412yes—
1136C24C2×#4112yes—
1137C24C2×#4112yes—
1138C24C2×#4112yes—
1139C24C2×#4112yes—
1140C24H(5,𝔽2)12yes—
1141C24H(5,𝔽2)12yes—
1142C24C2511yescharacteristic
1143#41—4128no—
1144C2×Q8—28no—
1145C2×Q8—44no—
1146C2×Q8—44no—
1147C2×Q8—44no—
1148C2×Q8—44no—
1149C2×Q8—44no—
1150C2×Q8—44no—
1151C2×D4—28no—
1152C2×D4—28no—
1153C2×D4—28no—
1154C2×D4—28no—
1155C2×D4—28no—
1156C2×D4—28no—
1157C2×D4—28no—
1158C2×D4—28no—
1159C2×D4—28no—
1160C2×D4—28no—
1161C2×D4—28no—
1162C2×D4—28no—
1163C2×D4—28no—
1164C2×D4—28no—
1165C2×D4—28no—
1166C2×D4—28no—
1167C2×D4—28no—
1168C2×D4—44no—
1169C2×D4—44no—
1170C2×D4—44no—
1171C2×D4—44no—
1172C2×D4—44no—
1173C2×D4—44no—
1174C2×D4—44no—
1175C2×D4—44no—
1176C2×D4—44no—
1177C2×D4—44no—
1178C2×D4—44no—
1179C2×D4—44no—
1180C2×D4—44no—
1181C2×D4—44no—
1182C2×D4—44no—
1183C2×D4—44no—
1184C2×D4—44no—
1185C2×D4—44no—
1186C2×D4—4128no—
1187C2×D4—44no—
1188C2×D4—44no—
1189C2×D4—44no—
1190C2×D4—44no—
1191C2×D4—44no—
1192C2×D4—44no—
1193C2×D4—44no—
1194C2×D4—44no—
1195C2×D4—44no—
1196C2×D4—44no—
1197C2×D4—44no—
1198C2×D4—44no—
1199C2×D4—44no—
1200C2×D4—44no—
1201C2×D4—44no—
1202C2×D4—44no—
1203C2×D4—44no—
1204C2×D4—44no—
1205C2×D4—44no—
1206C2×D4—44no—
1207C2×D4—82no—
1208C2×D4—82no—
1209C2×D4—82no—
1210C2×D4—82no—
1211C2×D4—82no—
1212C2×D4—82no—
1213C2×D4—82no—
1214C2×D4—82no—
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—28no—
1228C22×C4—28no—
1229C22×C4—28no—
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—21no—
1244C22×C4—21no—
1245C22×C4—21no—
1246C22×C4—21no—
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—28no—
1297C22×C4—28no—
1298C22×C4—28no—
1299C22×C4—28no—
1300C22×C4—28no—
1301C22×C4—28no—
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—21no—
1332C22×C4—21no—
1333C22×C4—21no—
1334C22×C4—21no—
1335C22×C4—21no—
1336C22×C4—21no—
1337C22×C4—21no—
1338C22×C4—21no—
1339C22×C4—21no—
1340C22×C4—21no—
1341C22×C4—21no—
1342C22×C4—21no—
1343C22×C4—21no—
1344C22×C4—21no—
1345C22×C4—21no—
1346C22×C4—21no—
1347C22×C4—21no—
1348C22×C4—21no—
1349C22×C4—21no—
1350C22×C4—21no—
1351C22×C4—21no—
1352C22×C4—21no—
1353C22×C4—21no—
1354C22×C4—21no—
1355C22×C4—21no—
1356C22×C4—21no—
1357C22×C4—21no—
1358C22×C4—21no—
1359C22×C4—21no—
1360C22×C4—21no—
1361C22×C4—21no—
1362C22×C4—21no—
1363C22×C4—21no—
1364C22×C4—21no—
1365C22×C4—21no—
1366C22×C4—21no—
1367C22×C4—21no—
1368C22×C4—21no—
1369C22×C4—21no—
1370C22×C4—21no—
1371C22×C4—21no—
1372C22×C4—21no—
1373C22×C4—21no—
1374C22×C4—21no—
1375C22×C4—21no—
1376C22×C4—21no—
1377C22×C4—21no—
1378C22×C4—21no—
1379C22×C4—44no—
1380C22×C4—44no—
1381C22×C4—44no—
1382C22×C4—44no—
1383C22×C4—44no—
1384C22×C4—44no—
1385C22×C4—44no—
1386C22×C4—44no—
1387C22×C4—44no—
1388C22×C4—44no—
1389C22×C4—44no—
1390C22×C4—44no—
1391C22×C4—44no—
1392C22×C4—44no—
1393C22×C4—44no—
1394C22×C4—44no—
1395C22×C4—44no—
1396C22×C4—44no—
1397C22×C4—44no—
1398C22×C4—44no—
1399C22×C4—44no—
1400C22×C4—44no—
1401C22×C4—44no—
1402C22×C4—44no—
1403C22×C4—44no—
1404C22×C4—44no—
1405C22×C4—44no—
1406C22×C4—44no—
1407C22×C4—82no—
1408C22×C4—82no—
1409C22×C4—82no—
1410C22×C4—82no—
1411C22×C4—82no—
1412C22×C4—82no—
1413C22×C4—82no—
1414C22×C4—82no—
1415C22×C4—82no—
1416C22×C4—82no—
1417C22×C4—82no—
1418C22×C4—82no—
1419C22×C4—82no—
1420C22×C4—82no—
1421C22×C4—82no—
1422C22×C4—82no—
1423C22×C4—82no—
1424C22×C4—82no—
1425C22×C4—82no—
1426C22×C4C22×D412yes—
1427C22×C4C22×D412yes—
1428C22×C4C22×D412yes—
1429C22×C4C22×D412yes—
1430C22×C4C22×D412yes—
1431C22×C4C22×D412yes—
1432C22×C4C22×D412yes—
1433C22×C4C22×D412yes—
1434C22×C4C22×D412yes—
1435C22×C4C22×D412yes—
1436C22×C4C22×D412yes—
1437C22×C4C22×D412yes—
1438C22×C4C22×D412yes—
1439C22×C4C2×#4112yes—
1440C22×C4C2×#4112yes—
1441C22×C4C2×#4112yes—
1442C22×C4C2×#4112yes—
1443C22×C4C2×#4112yes—
1444C22×C4H(5,𝔽2)12yes—
1445C22×C4H(5,𝔽2)12yes—
1446C4⋊C4—28no—
1447C4⋊C4—28no—
1448C4⋊C4—28no—
1449C4⋊C4—28no—
1450C4⋊C4—44no—
1451C4⋊C4—44no—
1452C4⋊C4—44no—
1453C4⋊C4—44no—
1454C4⋊C4—44no—
1455C4⋊C4—44no—
1456C4⋊C4—82no—
1457C4⋊C4—82no—
1458C4⋊C4—82no—
1459C4⋊C4—82no—
1460C4⋊C4—82no—
1461C4⋊C4—82no—
1462C22⋊C4—28no—
1463C22⋊C4—28no—
1464C22⋊C4—28no—
1465C22⋊C4—28no—
1466C22⋊C4—28no—
1467C22⋊C4—28no—
1468C22⋊C4—28no—
1469C22⋊C4—28no—
1470C22⋊C4—28no—
1471C22⋊C4—28no—
1472C22⋊C4—28no—
1473C22⋊C4—28no—
1474C22⋊C4—44no—
1475C22⋊C4—44no—
1476C22⋊C4—44no—
1477C22⋊C4—44no—
1478C22⋊C4—44no—
1479C22⋊C4—44no—
1480C22⋊C4—44no—
1481C22⋊C4—44no—
1482C22⋊C4—44no—
1483C22⋊C4—44no—
1484C22⋊C4—44no—
1485C22⋊C4—44no—
1486C22⋊C4—44no—
1487C22⋊C4—44no—
1488C22⋊C4—44no—
1489C22⋊C4—44no—
1490C22⋊C4—44no—
1491C22⋊C4—44no—
1492C22⋊C4—44no—
1493C22⋊C4—44no—
1494C22⋊C4—44no—
1495C22⋊C4—44no—
1496C22⋊C4—44no—
1497C22⋊C4—44no—
1498C22⋊C4—44no—
1499C22⋊C4—44no—
1500C22⋊C4—44no—
1501C22⋊C4—44no—
1502C22⋊C4—44no—
1503C22⋊C4—44no—
1504C22⋊C4—82no—
1505C22⋊C4—82no—
1506C22⋊C4—82no—
1507C22⋊C4—82no—
1508C22⋊C4—82no—
1509C22⋊C4—82no—
1510C22⋊C4—82no—
1511C22⋊C4—82no—
1512C22⋊C4—82no—
1513C22⋊C4—82no—
1514C22⋊C4—82no—
1515C22⋊C4—82no—
1516C22⋊C4—82no—
1517C22⋊C4—82no—
1518C22⋊C4—82no—
1519C22⋊C4#120116yes—
1520C42—28no—
1521C42—44no—
1522C42—44no—
1523C42—82no—
1524C42—82no—
1525C42—82no—
1526C42—82no—
1527C23—22no—
1528C23—22no—
1529C23—22no—
1530C23—22no—
1531C23—22no—
1532C23—22no—
1533C23—22no—
1534C23—22no—
1535C23—22no—
1536C23—22no—
1537C23—22no—
1538C23—22no—
1539C23—22no—
1540C23—22no—
1541C23—22no—
1542C23—22no—
1543C23—22no—
1544C23—22no—
1545C23—22no—
1546C23—22no—
1547C23—22no—
1548C23—22no—
1549C23—22no—
1550C23—22no—
1551C23—22no—
1552C23—22no—
1553C23—22no—
1554C23—22no—
1555C23—22no—
1556C23—22no—
1557C23—22no—
1558C23—22no—
1559C23—22no—
1560C23—22no—
1561C23—22no—
1562C23—22no—
1563C23—22no—
1564C23—22no—
1565C23—22no—
1566C23—22no—
1567C23—22no—
1568C23—22no—
1569C23—22no—
1570C23—22no—
1571C23—22no—
1572C23—22no—
1573C23—22no—
1574C23—22no—
1575C23—22no—
1576C23—22no—
1577C23—22no—
1578C23—22no—
1579C23—22no—
1580C23—22no—
1581C23—22no—
1582C23—22no—
1583C23—22no—
1584C23—22no—
1585C23—22no—
1586C23—22no—
1587C23—22no—
1588C23—22no—
1589C23—22no—
1590C23—22no—
1591C23—22no—
1592C23—22no—
1593C23—22no—
1594C23—22no—
1595C23—22no—
1596C23—22no—
1597C23—22no—
1598C23—22no—
1599C23—22no—
1600C23—22no—
1601C23—22no—
1602C23—22no—
1603C23—22no—
1604C23—22no—
1605C23—22no—
1606C23—22no—
1607C23—22no—
1608C23—22no—
1609C23—22no—
1610C23—22no—
1611C23—22no—
1612C23—22no—
1613C23—416no—
1614C23—416no—
1615C23—416no—
1616C23—416no—
1617C23—416no—
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—41no—
1674C23—41no—
1675C23—41no—
1676C23—41no—
1677C23—41no—
1678C23—41no—
1679C23—41no—
1680C23—41no—
1681C23—41no—
1682C23—41no—
1683C23—41no—
1684C23—41no—
1685C23—41no—
1686C23—41no—
1687C23—41no—
1688C23—41no—
1689C23—41no—
1690C23—41no—
1691C23—41no—
1692C23—41no—
1693C23—41no—
1694C23—41no—
1695C23—41no—
1696C23—41no—
1697C23—41no—
1698C23—41no—
1699C23—41no—
1700C23—41no—
1701C23—41no—
1702C23—41no—
1703C23—41no—
1704C23—41no—
1705C23—41no—
1706C23—41no—
1707C23—41no—
1708C23—41no—
1709C23—41no—
1710C23—41no—
1711C23—41no—
1712C23—41no—
1713C23—41no—
1714C23—41no—
1715C23—41no—
1716C23—41no—
1717C23—41no—
1718C23—41no—
1719C23—41no—
1720C23—41no—
1721C23—41no—
1722C23—41no—
1723C23—41no—
1724C23—41no—
1725C23—41no—
1726C23—41no—
1727C23—41no—
1728C23—41no—
1729C23—41no—
1730C23—41no—
1731C23—41no—
1732C23—41no—
1733C23—41no—
1734C23—41no—
1735C23—41no—
1736C23—41no—
1737C23—41no—
1738C23—88no—
1739C23—88no—
1740C23—88no—
1741C23—88no—
1742C23—88no—
1743C23—88no—
1744C23—88no—
1745C23—88no—
1746C23—88no—
1747C23—88no—
1748C23—88no—
1749C23—88no—
1750C23—88no—
1751C23—88no—
1752C23—88no—
1753C23—88no—
1754C23—88no—
1755C23—88no—
1756C23—88no—
1757C23—88no—
1758C23—88no—
1759C23—88no—
1760C23—88no—
1761C23—88no—
1762C23—88no—
1763C23C2×#12014yes—
1764C23#53214yes—
1765C23#54614yes—
1766C23#54614yes—
1767C23C23×D411yescharacteristic
1768C23C23×D411yescharacteristic
1769C23C23×D411yescharacteristic
1770C23C22×#4111yescharacteristic
1771C23C22×#4111yescharacteristic
1772C23C22×#4111yescharacteristic
1773C23C2×H(5,𝔽2)11yescharacteristic
1774C23C2×H(5,𝔽2)11yescharacteristic
1775C23C2×H(5,𝔽2)11yescharacteristic
1776C23C2×H(5,𝔽2)11yescharacteristic
1777C23#58511yescharacteristic
1778C23#58511yescharacteristic
1779C23#58511yescharacteristic
1780C23#58511yescharacteristic
1781C23#58511yescharacteristic
1782Q8—416no—
1783D4—232no—
1784D4—416no—
1785D4—416no—
1786D4—416no—
1787D4—416no—
1788D4—416no—
1789D4—416no—
1790D4—88no—
1791D4—88no—
1792C2×C4—22no—
1793C2×C4—22no—
1794C2×C4—22no—
1795C2×C4—22no—
1796C2×C4—22no—
1797C2×C4—22no—
1798C2×C4—22no—
1799C2×C4—22no—
1800C2×C4—22no—
1801C2×C4—22no—
1802C2×C4—22no—
1803C2×C4—22no—
1804C2×C4—22no—
1805C2×C4—22no—
1806C2×C4—22no—
1807C2×C4—22no—
1808C2×C4—22no—
1809C2×C4—22no—
1810C2×C4—22no—
1811C2×C4—22no—
1812C2×C4—22no—
1813C2×C4—22no—
1814C2×C4—22no—
1815C2×C4—22no—
1816C2×C4—22no—
1817C2×C4—22no—
1818C2×C4—22no—
1819C2×C4—22no—
1820C2×C4—22no—
1821C2×C4—22no—
1822C2×C4—22no—
1823C2×C4—22no—
1824C2×C4—22no—
1825C2×C4—22no—
1826C2×C4—22no—
1827C2×C4—22no—
1828C2×C4—22no—
1829C2×C4—22no—
1830C2×C4—22no—
1831C2×C4—22no—
1832C2×C4—22no—
1833C2×C4—22no—
1834C2×C4—22no—
1835C2×C4—22no—
1836C2×C4—22no—
1837C2×C4—22no—
1838C2×C4—22no—
1839C2×C4—22no—
1840C2×C4—22no—
1841C2×C4—22no—
1842C2×C4—22no—
1843C2×C4—416no—
1844C2×C4—416no—
1845C2×C4—416no—
1846C2×C4—416no—
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—41no—
1888C2×C4—41no—
1889C2×C4—41no—
1890C2×C4—41no—
1891C2×C4—41no—
1892C2×C4—41no—
1893C2×C4—41no—
1894C2×C4—41no—
1895C2×C4—41no—
1896C2×C4—41no—
1897C2×C4—41no—
1898C2×C4—41no—
1899C2×C4—41no—
1900C2×C4—41no—
1901C2×C4—41no—
1902C2×C4—41no—
1903C2×C4—41no—
1904C2×C4—41no—
1905C2×C4—41no—
1906C2×C4—41no—
1907C2×C4—41no—
1908C2×C4—41no—
1909C2×C4—41no—
1910C2×C4—41no—
1911C2×C4—41no—
1912C2×C4—41no—
1913C2×C4—41no—
1914C2×C4—41no—
1915C2×C4—41no—
1916C2×C4—41no—
1917C2×C4—41no—
1918C2×C4—41no—
1919C2×C4—41no—
1920C2×C4—41no—
1921C2×C4—41no—
1922C2×C4—41no—
1923C2×C4—41no—
1924C2×C4—41no—
1925C2×C4—41no—
1926C2×C4—41no—
1927C2×C4—41no—
1928C2×C4—41no—
1929C2×C4—41no—
1930C2×C4—41no—
1931C2×C4—41no—
1932C2×C4—41no—
1933C2×C4—41no—
1934C2×C4—41no—
1935C2×C4—41no—
1936C2×C4—41no—
1937C2×C4—41no—
1938C2×C4—41no—
1939C2×C4—41no—
1940C2×C4—41no—
1941C2×C4—41no—
1942C2×C4—41no—
1943C2×C4—41no—
1944C2×C4—41no—
1945C2×C4—41no—
1946C2×C4—41no—
1947C2×C4—41no—
1948C2×C4—41no—
1949C2×C4—41no—
1950C2×C4—41no—
1951C2×C4—41no—
1952C2×C4—41no—
1953C2×C4—41no—
1954C2×C4—41no—
1955C2×C4—41no—
1956C2×C4—41no—
1957C2×C4—41no—
1958C2×C4—41no—
1959C2×C4—41no—
1960C2×C4—41no—
1961C2×C4—41no—
1962C2×C4—41no—
1963C2×C4—41no—
1964C2×C4—41no—
1965C2×C4—41no—
1966C2×C4—41no—
1967C2×C4—41no—
1968C2×C4—88no—
1969C2×C4—88no—
1970C2×C4—88no—
1971C2×C4—88no—
1972C2×C4C2×#12014yes—
1973C2×C4C2×#12014yes—
1974C2×C4#54614yes—
1975C22—24no—
1976C22—24no—
1977C22—24no—
1978C22—24no—
1979C22—24no—
1980C22—24no—
1981C22—24no—
1982C22—24no—
1983C22—24no—
1984C22—24no—
1985C22—24no—
1986C22—24no—
1987C22—42no—
1988C22—42no—
1989C22—42no—
1990C22—42no—
1991C22—42no—
1992C22—42no—
1993C22—42no—
1994C22—42no—
1995C22—42no—
1996C22—42no—
1997C22—42no—
1998C22—42no—
1999C22—42no—
2000C22—42no—
2001C22—42no—
2002C22—42no—
2003C22—42no—
2004C22—42no—
2005C22—42no—
2006C22—42no—
2007C22—42no—
2008C22—42no—
2009C22—42no—
2010C22—42no—
2011C22—42no—
2012C22—42no—
2013C22—42no—
2014C22—42no—
2015C22—42no—
2016C22—42no—
2017C22—42no—
2018C22—42no—
2019C22—42no—
2020C22—42no—
2021C22—42no—
2022C22—42no—
2023C22—42no—
2024C22—42no—
2025C22—42no—
2026C22—42no—
2027C22—42no—
2028C22—42no—
2029C22—42no—
2030C22—42no—
2031C22—42no—
2032C22—42no—
2033C22—42no—
2034C22—42no—
2035C22—42no—
2036C22—42no—
2037C22—42no—
2038C22—42no—
2039C22—42no—
2040C22—42no—
2041C22—42no—
2042C22—42no—
2043C22—42no—
2044C22—42no—
2045C22—42no—
2046C22—42no—
2047C22—42no—
2048C22—42no—
2049C22—832no—
2050C22—832no—
2051C22—81no—
2052C22—81no—
2053C22—81no—
2054C22—81no—
2055C22—81no—
2056C22—81no—
2057C22—81no—
2058C22—81no—
2059C22—81no—
2060C22—81no—
2061C22—81no—
2062C22—81no—
2063C22—81no—
2064C22—81no—
2065C22—81no—
2066C22—81no—
2067C22C22×#12011yescharacteristic
2068C22C2×#53211yescharacteristic
2069C22#344911yescharacteristic
2070C22C2×#54611yescharacteristic
2071C22C2×#54611yescharacteristic
2072C22C2×#54611yescharacteristic
2073C22D4×#4111yescharacteristic
2074C22D4×#4111yescharacteristic
2075C22D4×#4111yescharacteristic
2076C22D4×#4111yescharacteristic
2077C22#347511yescharacteristic
2078C22#348111yescharacteristic
2079C22#348411yescharacteristic
2080C22#348411yescharacteristic
2081C22#348411yescharacteristic
2082C22#348511yescharacteristic
2083C22#348511yescharacteristic
2084C22#348811yescharacteristic
2085C22#349011yescharacteristic
2086C22#349411yescharacteristic
2087C22#349611yescharacteristic
2088C22#349611yescharacteristic
2089C22#350011yescharacteristic
2090C22#350511yescharacteristic
2091C22#351311yescharacteristic
2092C22#351311yescharacteristic
2093C22#351411yescharacteristic
2094C22#352111yescharacteristic
2095C22#352111yescharacteristic
2096C22#353311yescharacteristic
2097C22#354211yescharacteristic
2098C22#355811yescharacteristic
2099C22#356011yescharacteristic
2100C22#356011yescharacteristic
2101C22#356211yescharacteristic
2102C4—24no—
2103C4—24no—
2104C4—24no—
2105C4—42no—
2106C4—42no—
2107C4—42no—
2108C4—42no—
2109C4—42no—
2110C4—42no—
2111C4—42no—
2112C4—42no—
2113C4—42no—
2114C4—42no—
2115C4—42no—
2116C4—81no—
2117C4—81no—
2118C4—81no—
2119C4—81no—
2120C4—81no—
2121C4—81no—
2122C4—81no—
2123C4—81no—
2124C4—81no—
2125C4—81no—
2126C4—81no—
2127C2—44no—
2128C2—44no—
2129C2—44no—
2130C2—44no—
2131C2—82no—
2132C2—82no—
2133C2#3473811yescharacteristic
2134C2#3575011yescharacteristic
2135C2#3576411yescharacteristic
2136C2#3615211yescharacteristic
2137C2#3631811yescharacteristic
2138C2#3803011yescharacteristic
2139C2#4049611yescharacteristic
2140C2#4300811yescharacteristic
2141C2#4301311yescharacteristic
2142C2#4310911yescharacteristic
2143C2#4311411yescharacteristic
2144C2#5908711yescharacteristic
2145C2#5910311yescharacteristic
2146C2#5980411yescharacteristic
2147C2#5981211yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
prime radicalC22×#546C2
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C24 ▷ C1

Complements

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

NH ≅ G/Ntype
2. C2×#2559C2semidirect
3. C2×#2553C2semidirect
4. C2×#2480C2semidirect
5. #16501C2semidirect
6. #16255C2semidirect
7. #15784C2semidirect
8. #15670C2semidirect
9. #15614C2semidirect
10. #15312C2semidirect
11. #15311C2semidirect
12. #15283C2semidirect
13. #15277C2semidirect
14. #15268C2semidirect
15. #15219C2semidirect
16. #14964C2semidirect
17. #14889C2semidirect
18. #14825C2semidirect
19. #14761C2semidirect
20. #14725C2semidirect
21. #14724C2semidirect
22. #14185C2semidirect
23. #14185C2semidirect
24. #14173C2semidirect
25. #14100C2semidirect
26. #14096C2semidirect
27. #13991C2semidirect
28. #13971C2semidirect
29. #13867C2semidirect
30. #13851C2semidirect
31. C22⋊C42C2semidirect
37. C22×#126C22semidirect
55. C2×#400C22semidirect
56. C2×#399C22semidirect
57. C2×#398C22semidirect
59. C2×#397C22semidirect
60. C2×#397C22semidirect
61. C2×#397C22semidirect
63. C2×#395C22semidirect
70. C2×#394C22semidirect
71. C2×#394C22semidirect
72. C2×#394C22semidirect
73. C2×#394C22semidirect
74. C2×#390C22semidirect
75. C2×#390C22semidirect
76. C2×#389C22semidirect
77. C2×#389C22semidirect
80. C2×#388C22semidirect
81. C2×#388C22semidirect
82. C2×#388C22semidirect
83. C2×#388C22semidirect
84. C2×#387C22semidirect
89. C2×#386C22semidirect
90. C2×#386C22semidirect
92. C2×#385C22semidirect
93. C2×#385C22semidirect
94. C2×#385C22semidirect
95. C2×#385C22semidirect
96. C2×#385C22semidirect
97. C2×#382C22semidirect
98. C2×#380C22semidirect
99. C2×#380C22semidirect
107. C2×C4×C22⋊C4C22semidirect
108. C2×C4×C22⋊C4C22semidirect
109. C2×C4×C22⋊C4C22semidirect
110. C2×C4×C22⋊C4C22semidirect
111. C2×C4×C22⋊C4C22semidirect
112. C2×C4×C22⋊C4C22semidirect
113. C2×C4×C22⋊C4C22semidirect
114. C2×C4×C22⋊C4C22semidirect
115. C2×C4×C22⋊C4C22semidirect
116. #1446C22semidirect
117. #1446C22semidirect
118. #1446C22semidirect
119. #1445C22semidirect
120. #1444C22semidirect
121. #1442C22semidirect
122. #1442C22semidirect
123. #1441C22semidirect
124. #1441C22semidirect
127. #1440C22semidirect
128. #1440C22semidirect
129. #1440C22semidirect
130. #1440C22semidirect
131. #1440C22semidirect
132. #1440C22semidirect
133. #1440C22semidirect
136. #1439C22semidirect
137. #1439C22semidirect
138. #1439C22semidirect
139. #1439C22semidirect
140. #1439C22semidirect
141. #1439C22semidirect
142. #1439C22semidirect
143. #1439C22semidirect
144. #1439C22semidirect
145. #1439C22semidirect
146. #1439C22semidirect
157. #1438C22semidirect
158. #1438C22semidirect
159. #1438C22semidirect
160. #1438C22semidirect
161. #1438C22semidirect
162. #1438C22semidirect
163. #1438C22semidirect
164. #1438C22semidirect
169. #1437C22semidirect
170. #1437C22semidirect
171. #1437C22semidirect
172. #1436C22semidirect
173. #1436C22semidirect
174. #1436C22semidirect
175. #1436C22semidirect
176. #1436C22semidirect
177. #1436C22semidirect
178. #1436C22semidirect
179. C4⋊#95C22semidirect
183. C22⋊#95C22semidirect
184. C22⋊#95C22semidirect
185. C22⋊#95C22semidirect
186. C22⋊#95C22semidirect
187. C22⋊#95C22semidirect
188. C22⋊#95C22semidirect
189. C22⋊#95C22semidirect
190. C22⋊#95C22semidirect
191. C22⋊#95C22semidirect
192. C22⋊#95C22semidirect
905. C2×C22⋊C4#41semidirect
906. C2×C22⋊C4#41semidirect

Maximal subgroups

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

subgroupindex
C22×#5462
C2×#25592
C2×#25532
C2×#24802
#165012
#162552
#157842
#156702
#156142
#153122
#153112
#152832
#152772
#152682
#152192
#149642
#148892
#148252
#147612
#147252
#147242
#141852
#141732
#141002
#140962
#139912
#139712
#138672
#138512
C22⋊C422