Finite Group Databasebeta

← #2111272

Subgroups — #2111272

Order 512.

3871 conjugacy classes of subgroups.

The subgroup lattice has 1977 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2683C211yesmaximal, characteristic, complemented
2C2×#2415C211yesmaximal, characteristic, complemented
3C2×#2472C211yesmaximal, characteristic, complemented
4C2×#2424C211yesmaximal, characteristic
5C2×#2437C211yesmaximal, characteristic, complemented
6C2×#2620C211yesmaximal, characteristic, complemented
7#17109C211yesmaximal, characteristic, complemented
8#16510C211yesmaximal, characteristic, complemented
9#16467C211yesmaximal, characteristic, complemented
10#16295C211yesmaximal, characteristic, complemented
11#16272C211yesmaximal, characteristic, complemented
12#16261C211yesmaximal, characteristic, complemented
13#16253C211yesmaximal, characteristic, complemented
14#15615C211yesmaximal, characteristic, complemented
15#15493C211yesmaximal, characteristic, complemented
16#15426C211yesmaximal, characteristic, complemented
17#15325C211yesmaximal, characteristic, complemented
18#15316C211yesmaximal, characteristic, complemented
19#15309C211yesmaximal, characteristic, complemented
20#15302C211yesmaximal, characteristic, complemented
21#15281C211yesmaximal, characteristic, complemented
22#15280C211yesmaximal, characteristic, complemented
23#15276C211yesmaximal, characteristic, complemented
24#15268C211yesmaximal, characteristic, complemented
25#15131C211yesmaximal, characteristic, complemented
26#14726C211yesmaximal, characteristic, complemented
27#14725C211yesmaximal, characteristic, complemented
28#14723C211yesmaximal, characteristic, complemented
29#14562C211yesmaximal, characteristic, complemented
30#14405C211yesmaximal, characteristic, complemented
31#14064C211yesmaximal, characteristic, complemented
32C22×#124C2211yescharacteristic
33C22×C22⋊Q8C2211yescharacteristic
34C22×C22⋊Q8C2211yescharacteristic
35C22×C22⋊Q8C2211yescharacteristic
36C22×C22⋊Q8C2211yescharacteristic, complemented
37C22×C22⋊Q8C2211yescharacteristic, complemented
38C22×#121C2211yescharacteristic
39C22×#121C2211yescharacteristic
40C22×#120C2211yescharacteristic
41C22×#120C2211yescharacteristic
42C22×C4×D4C2211yescharacteristic
43C22×#117C2211yescharacteristic, complemented
44C23×C22⋊C4C2211yescharacteristic
45C23×C22⋊C4C2211yescharacteristic
46#2683—28no—
47#2620—28no—
48#2472—28no—
49#2437—28no—
50#2424—28no—
51#2415—28no—
52C2×#399C2211yescharacteristic
53C2×#399C2211yescharacteristic, complemented
54C2×#397C2211yescharacteristic
55C2×#397C2211yescharacteristic, complemented
56C2×#397C2211yescharacteristic, complemented
57C2×#396C2211yescharacteristic
58C2×#396C2211yescharacteristic
59C2×#396C2211yescharacteristic
60C2×#396C2211yescharacteristic
61C2×#396C2211yescharacteristic
62C2×#396C2211yescharacteristic
63C2×#396C2211yescharacteristic, complemented
64C2×#396C2211yescharacteristic, complemented
65C2×#396C2211yescharacteristic, complemented
66C2×#396C2211yescharacteristic, complemented
67C2×#396C2211yescharacteristic, complemented
68C2×#395C2211yescharacteristic, complemented
69C2×#395C2211yescharacteristic, complemented
70C2×#395C2211yescharacteristic, complemented
71C2×#394C2211yescharacteristic
72C2×#394C2211yescharacteristic
73C2×#394C2211yescharacteristic
74C2×#394C2211yescharacteristic
75C2×#394C2211yescharacteristic
76C2×#394C2211yescharacteristic
77C2×#394C2211yescharacteristic
78C2×#394C2211yescharacteristic
79C2×#394C2211yescharacteristic
80C2×#394C2211yescharacteristic
81C2×#394C2211yescharacteristic, complemented
82C2×#394C2211yescharacteristic, complemented
83C2×#393C2211yescharacteristic
84C2×#393C2211yescharacteristic
85C2×#393C2211yescharacteristic, complemented
86C2×#392C2211yescharacteristic
87C2×#391C2211yescharacteristic, complemented
88C2×#391C2211yescharacteristic, complemented
89C2×#390C2211yescharacteristic
90C2×#390C2211yescharacteristic
91C2×#390C2211yescharacteristic
92C2×#390C2211yescharacteristic
93C2×#389C2211yescharacteristic, complemented
94C2×#389C2211yescharacteristic, complemented
95C2×#389C2211yescharacteristic, complemented
96C2×#389C2211yescharacteristic, complemented
97C2×#389C2211yescharacteristic, complemented
98C2×#389C2211yescharacteristic, complemented
99C2×#388C2211yescharacteristic
100C2×#388C2211yescharacteristic
101C2×#388C2211yescharacteristic
102C2×#388C2211yescharacteristic
103C2×#388C2211yescharacteristic
104C2×#388C2211yescharacteristic
105C2×#386C2211yescharacteristic
106C2×#386C2211yescharacteristic
107C2×#386C2211yescharacteristic
108C2×#386C2211yescharacteristic
109C2×#386C2211yescharacteristic
110C2×#386C2211yescharacteristic
111C2×#385C2211yescharacteristic
112C2×#385C2211yescharacteristic
113C2×#385C2211yescharacteristic
114C2×#385C2211yescharacteristic
115C2×#385C2211yescharacteristic
116C2×#385C2211yescharacteristic
117C2×#385C2211yescharacteristic
118C2×#384C2211yescharacteristic, complemented
119C2×#380C2211yescharacteristic
120C2×#380C2211yescharacteristic
121C2×#380C2211yescharacteristic
122C2×#380C2211yescharacteristic
123C2×#379C2211yescharacteristic
124C2×#379C2211yescharacteristic
125C2×#379C2211yescharacteristic
126C2×C4×C22⋊C4C2211yescharacteristic
127#1445C2211yescharacteristic, complemented
128#1444C2211yescharacteristic, complemented
129#1444C2211yescharacteristic, complemented
130#1444C2211yescharacteristic, complemented
131#1444C2211yescharacteristic, complemented
132#1443C2211yescharacteristic, complemented
133#1442C2211yescharacteristic, complemented
134#1442C2211yescharacteristic, complemented
135#1441C2211yescharacteristic, complemented
136#1441C2211yescharacteristic, complemented
137#1441C2211yescharacteristic, complemented
138#1441C2211yescharacteristic, complemented
139#1441C2211yescharacteristic, complemented
140#1441C2211yescharacteristic, complemented
141#1441C2211yescharacteristic, complemented
142#1441C2211yescharacteristic, complemented
143#1441C2211yescharacteristic, complemented
144#1440C2211yescharacteristic
145#1440C2211yescharacteristic
146#1440C2211yescharacteristic
147#1439C2211yescharacteristic
148#1439C2211yescharacteristic
149#1439C2211yescharacteristic
150#1439C2211yescharacteristic
151#1439C2211yescharacteristic
152#1439C2211yescharacteristic
153#1439C2211yescharacteristic
154#1439C2211yescharacteristic
155#1439C2211yescharacteristic
156#1439C2211yescharacteristic
157#1439C2211yescharacteristic
158#1439C2211yescharacteristic
159#1439C2211yescharacteristic
160#1439C2211yescharacteristic
161#1439C2211yescharacteristic, complemented
162#1439C2211yescharacteristic, complemented
163#1439C2211yescharacteristic, complemented
164#1439C2211yescharacteristic, complemented
165#1439C2211yescharacteristic, complemented
166#1439C2211yescharacteristic, complemented
167#1439C2211yescharacteristic, complemented
168#1439C2211yescharacteristic, complemented
169#1439C2211yescharacteristic, complemented
170#1438C2211yescharacteristic
171#1438C2211yescharacteristic
172#1438C2211yescharacteristic
173#1438C2211yescharacteristic
174#1438C2211yescharacteristic
175#1438C2211yescharacteristic
176#1438C2211yescharacteristic
177#1438C2211yescharacteristic
178#1438C2211yescharacteristic, complemented
179#1438C2211yescharacteristic, complemented
180#1437C2211yescharacteristic
181#1437C2211yescharacteristic, complemented
182#1437C2211yescharacteristic, complemented
183#1436C2211yescharacteristic, complemented
184#1436C2211yescharacteristic, complemented
185#1436C2211yescharacteristic, complemented
186#1436C2211yescharacteristic, complemented
187#1436C2211yescharacteristic, complemented
188C4⋊#95C2211yescharacteristic, complemented
189#1434C2211yescharacteristic, complemented
190C22⋊#95C2211yescharacteristic
191C22⋊#95C2211yescharacteristic
192C22⋊#95C2211yescharacteristic, complemented
193C26C2311yescharacteristic
194C23×Q8C2311yescharacteristic
195C23×Q8C2311yescharacteristic
196C23×D4C2311yescharacteristic
197C23×D4C2311yescharacteristic
198C23×D4C2311yescharacteristic
199C23×D4C2311yescharacteristic
200C23×D4C2311yescharacteristic
201C23×D4C2311yescharacteristic
202C23×D4C2311yescharacteristic
203C24×C4C2311yescharacteristic
204C24×C4C2311yescharacteristic
205C24×C4C2311yescharacteristic
206C24×C4C2311yescharacteristic
207C24×C4C2311yescharacteristic
208C2×#124—24no—
209C2×#124—24no—
210C2×#124—42no—
211C2×C22⋊Q8—24no—
212C2×C22⋊Q8—24no—
213C2×C22⋊Q8—24no—
214C2×C22⋊Q8—24no—
215C2×C22⋊Q8—24no—
216C2×C22⋊Q8—24no—
217C2×C22⋊Q8—24no—
218C2×C22⋊Q8—24no—
219C2×C22⋊Q8—24no—
220C2×C22⋊Q8—24no—
221C2×C22⋊Q8—42no—
222C2×C22⋊Q8—42no—
223C2×C22⋊Q8—42no—
224C2×C22⋊Q8—42no—
225C2×C22⋊Q8—42no—
226C2×#121—24no—
227C2×#121—24no—
228C2×#121—24no—
229C2×#121—42no—
230C2×#121—42no—
231C2×#121—42no—
232C2×#120—24no—
233C2×#120—24no—
234C2×#120—24no—
235C2×#120—42no—
236C2×#120—42no—
237C2×#120—42no—
238C2×C4×D4—24no—
239C2×C4×D4—24no—
240C2×C4×D4—42no—
241C2×#117—24no—
242C2×#117—24no—
243C2×#117—42no—
244C22×C4⋊C4C2311yescharacteristic
245C22×C4⋊C4C2311yescharacteristic
246C22×C4⋊C4C2311yescharacteristic
247C22×C4⋊C4C2311yescharacteristic
248C22×C4⋊C4C2311yescharacteristic
249C22×C4⋊C4C2311yescharacteristic
250C22×C4⋊C4C2311yescharacteristic
251C22×C4⋊C4C2311yescharacteristic
252C22×C4⋊C4C2311yescharacteristic
253C22×C4⋊C4C2311yescharacteristic
254C22×C4⋊C4C2311yescharacteristic
255C22×C4⋊C4C2311yescharacteristic
256C22×C4⋊C4C2311yescharacteristic
257C22×C4⋊C4C2311yescharacteristic
258C22×C4⋊C4C2311yescharacteristic
259C22×C4⋊C4C2311yescharacteristic
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×C22⋊C4—24no—
275C22×C22⋊C4—24no—
276C22×C22⋊C4—24no—
277C22×C22⋊C4—24no—
278C22×C22⋊C4—42no—
279C22×C22⋊C4—42no—
280C22×C22⋊C4C2311yescharacteristic
281C22×C22⋊C4C2311yescharacteristic
282C22×C22⋊C4C2311yescharacteristic
283C22×C22⋊C4C2311yescharacteristic
284C22×C22⋊C4C2311yescharacteristic
285C22×C22⋊C4C2311yescharacteristic
286C22×C22⋊C4C2311yescharacteristic
287C22×C22⋊C4C2311yescharacteristic
288C22×C22⋊C4C2311yescharacteristic
289C22×C22⋊C4C2311yescharacteristic
290C22×C22⋊C4C2311yescharacteristic
291C22×C22⋊C4C2311yescharacteristic
292C22×C22⋊C4C2311yescharacteristic
293C22×C22⋊C4C2311yescharacteristic
294C22×C22⋊C4C2311yescharacteristic
295C22×C22⋊C4C2311yescharacteristic
296C22×C22⋊C4C2311yescharacteristic
297C22×C22⋊C4C2311yescharacteristic
298C22×C22⋊C4C2311yescharacteristic
299C22×C22⋊C4C2311yescharacteristic
300C22×C22⋊C4C2311yescharacteristic
301C22×C22⋊C4C2311yescharacteristic
302C22×C22⋊C4C2311yescharacteristic
303C22×C22⋊C4C2311yescharacteristic
304C22×C22⋊C4C2311yescharacteristic
305C22×C22⋊C4C2311yescharacteristic
306C22×C22⋊C4C2311yescharacteristic
307C22×C22⋊C4C2311yescharacteristic
308C22×C22⋊C4C2311yescharacteristic
309C22×C22⋊C4C2311yescharacteristic
310C22×C22⋊C4C2311yescharacteristic
311C22×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×C42C2311yescharacteristic
334C22×C42C2311yescharacteristic
335C22×C42C2311yescharacteristic
336C22×C42C2311yescharacteristic
337C22×C42C2311yescharacteristic
338#399—24no—
339#399—42no—
340#397—24no—
341#397—24no—
342#397—24no—
343#396—24no—
344#396—24no—
345#396—24no—
346#396—24no—
347#396—24no—
348#396—24no—
349#396—24no—
350#396—24no—
351#396—24no—
352#396—42no—
353#396D418yescomplemented
354#395—24no—
355#395—24no—
356#395—42no—
357#394—24no—
358#394—24no—
359#394—24no—
360#394—24no—
361#394—24no—
362#394—24no—
363#394—24no—
364#394—24no—
365#394—24no—
366#394—24no—
367#394—42no—
368#394—42no—
369#393—24no—
370#393—24no—
371#393—42no—
372#392—24no—
373#391—24no—
374#391—24no—
375#390—24no—
376#390—24no—
377#390—24no—
378#390—24no—
379#389—24no—
380#389—24no—
381#389—24no—
382#389—24no—
383#389—24no—
384#389—42no—
385#388—24no—
386#388—24no—
387#388—24no—
388#388—42no—
389#388—42no—
390#388D418yescomplemented
391#386—24no—
392#386—24no—
393#386—24no—
394#386—24no—
395#386—42no—
396#386D418yes—
397#385—24no—
398#385—24no—
399#385—24no—
400#385—24no—
401#385—24no—
402#385—42no—
403#385—42no—
404#384—24no—
405#380—24no—
406#380—24no—
407#380—24no—
408#380—42no—
409#379—24no—
410#379—24no—
411#379—42no—
412C4×C22⋊C4—24no—
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
463C2×#95C2311yescharacteristic
464C2×#95C2311yescharacteristic
465C25—22no—
466C25—22no—
467C25—22no—
468C25—22no—
469C25—22no—
470C25—22no—
471C25—22no—
472C25—41no—
473C25—41no—
474C25—41no—
475C25—41no—
476C25—41no—
477C25—41no—
478C25—41no—
479C25—41no—
480C25C2411yescharacteristic
481C25C2411yescharacteristic
482C25C2411yescharacteristic
483C25C2411yescharacteristic
484C25C2411yescharacteristic
485C22×Q8—22no—
486C22×Q8—22no—
487C22×Q8—22no—
488C22×Q8—22no—
489C22×Q8—22no—
490C22×Q8—22no—
491C22×Q8—22no—
492C22×Q8—22no—
493C22×Q8—41no—
494C22×Q8—41no—
495C22×Q8—41no—
496C22×Q8—41no—
497C22×Q8—41no—
498C22×Q8—41no—
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—41no—
523C22×D4—41no—
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×D4C2×D414yes—
548C23×C4—22no—
549C23×C4—22no—
550C23×C4—22no—
551C23×C4—22no—
552C23×C4—22no—
553C23×C4—22no—
554C23×C4—22no—
555C23×C4—22no—
556C23×C4—22no—
557C23×C4—22no—
558C23×C4—22no—
559C23×C4—22no—
560C23×C4—22no—
561C23×C4—22no—
562C23×C4—22no—
563C23×C4—22no—
564C23×C4—22no—
565C23×C4—22no—
566C23×C4—41no—
567C23×C4—41no—
568C23×C4—41no—
569C23×C4—41no—
570C23×C4—41no—
571C23×C4—41no—
572C23×C4—41no—
573C23×C4—41no—
574C23×C4—41no—
575C23×C4—41no—
576C23×C4—41no—
577C23×C4—41no—
578C23×C4—41no—
579C23×C4—41no—
580C23×C4—41no—
581C23×C4—41no—
582C23×C4C2×D414yes—
583C23×C4C2411yescharacteristic
584C23×C4C2411yescharacteristic
585C23×C4C2411yescharacteristic
586C23×C4C2411yescharacteristic
587C23×C4C2411yescharacteristic
588C23×C4C2411yescharacteristic
589C23×C4C2411yescharacteristic
590C23×C4C2411yescharacteristic
591C23×C4C2411yescharacteristic
592C23×C4C2411yescharacteristic
593C23×C4C2411yescharacteristic
594C23×C4C2411yescharacteristic
595C23×C4C2411yescharacteristic
596C23×C4C2411yescharacteristic
597C23×C4C2411yescharacteristic
598C23×C4C2411yescharacteristic
599C23×C4C2411yescharacteristic
600C23×C4C2411yescharacteristic
601C23×C4C2411yescharacteristic
602C23×C4C2411yescharacteristic
603C23×C4C2411yescharacteristic
604C23×C4C2411yescharacteristic
605C23×C4C2411yescharacteristic
606C23×C4C2411yescharacteristic
607C23×C4C2411yescharacteristic
608C23×C4C2411yescharacteristic
609#124—416no—
610C22⋊Q8—416no—
611C22⋊Q8—416no—
612C22⋊Q8—416no—
613C22⋊Q8—416no—
614C22⋊Q8—416no—
615#121—416no—
616#121—416no—
617#120—416no—
618#120—416no—
619C4×D4—416no—
620#117—416no—
621C2×C4⋊C4—22no—
622C2×C4⋊C4—22no—
623C2×C4⋊C4—22no—
624C2×C4⋊C4—22no—
625C2×C4⋊C4—22no—
626C2×C4⋊C4—22no—
627C2×C4⋊C4—22no—
628C2×C4⋊C4—22no—
629C2×C4⋊C4—22no—
630C2×C4⋊C4—22no—
631C2×C4⋊C4—22no—
632C2×C4⋊C4—22no—
633C2×C4⋊C4—22no—
634C2×C4⋊C4—22no—
635C2×C4⋊C4—22no—
636C2×C4⋊C4—22no—
637C2×C4⋊C4—22no—
638C2×C4⋊C4—22no—
639C2×C4⋊C4—22no—
640C2×C4⋊C4—22no—
641C2×C4⋊C4—22no—
642C2×C4⋊C4—22no—
643C2×C4⋊C4—22no—
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—41no—
673C2×C4⋊C4—41no—
674C2×C4⋊C4—41no—
675C2×C4⋊C4—41no—
676C2×C4⋊C4—41no—
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⋊C4—41no—
698C2×C4⋊C4—41no—
699C2×C4⋊C4—41no—
700C2×C4⋊C4—41no—
701C2×C4⋊C4—41no—
702C2×C4⋊C4—41no—
703C2×C4⋊C4—41no—
704C2×C4⋊C4—41no—
705C2×C4⋊C4—41no—
706C2×C4⋊C4—41no—
707C2×C4⋊C4C2×D414yes—
708C2×C4⋊C4C2×D414yes—
709C2×C4⋊C4C2×D414yes—
710C2×C4⋊C4C2×D414yes—
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—416no—
796C2×C22⋊C4—416no—
797C2×C22⋊C4—41no—
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⋊C4C2×D414yes—
864C2×C22⋊C4C2×D414yes—
865C2×C22⋊C4C2×D414yes—
866C2×C22⋊C4C2×D414yes—
867C2×C22⋊C4C2×D414yes—
868C2×C22⋊C4C2×D414yes—
869C2×C22⋊C4C2×D414yes—
870C2×C22⋊C4C2×D414yes—
871C2×C22⋊C4C2×D414yes—
872C2×C42—22no—
873C2×C42—22no—
874C2×C42—22no—
875C2×C42—22no—
876C2×C42—22no—
877C2×C42—22no—
878C2×C42—22no—
879C2×C42—22no—
880C2×C42—41no—
881C2×C42—41no—
882C2×C42—41no—
883C2×C42—41no—
884C2×C42—41no—
885C2×C42—41no—
886C2×C42C2×D414yes—
887#95—22no—
888#95—22no—
889#95—22no—
890#95—22no—
891#95—22no—
892#95—22no—
893#95—22no—
894#95—22no—
895#95—22no—
896#95—22no—
897#95—22no—
898#95—22no—
899#95—22no—
900#95—22no—
901#95—22no—
902#95—22no—
903#95—22no—
904#95—22no—
905#95—22no—
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—41no—
917#95—41no—
918#95—41no—
919#95—41no—
920#95—41no—
921#95—41no—
922#95—41no—
923#95—41no—
924#95—41no—
925#95—41no—
926#95—41no—
927#95—41no—
928#95—41no—
929#95—41no—
930#95—41no—
931#95—41no—
932#95—41no—
933#95—41no—
934#95C2×D414yes—
935#95C2×D414yes—
936#95C2×D414yes—
937#95C2×D414yes—
938#95C2×D414yes—
939C24—21no—
940C24—21no—
941C24—21no—
942C24—21no—
943C24—21no—
944C24—21no—
945C24—21no—
946C24—21no—
947C24—21no—
948C24—21no—
949C24—21no—
950C24—21no—
951C24—21no—
952C24—21no—
953C24—21no—
954C24—21no—
955C24—21no—
956C24—21no—
957C24—21no—
958C24—21no—
959C24—21no—
960C24—21no—
961C24—21no—
962C24—21no—
963C24—28no—
964C24—21no—
965C24—21no—
966C24—21no—
967C24—21no—
968C24—21no—
969C24—21no—
970C24—21no—
971C24—21no—
972C24—21no—
973C24—21no—
974C24—21no—
975C24—21no—
976C24—21no—
977C24—21no—
978C24—21no—
979C24—21no—
980C24—21no—
981C24—21no—
982C24—21no—
983C24—21no—
984C24—21no—
985C24—21no—
986C24—21no—
987C24—21no—
988C24—21no—
989C24—21no—
990C24—21no—
991C24—21no—
992C24—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—44no—
1008C24—44no—
1009C24—44no—
1010C24—44no—
1011C24—44no—
1012C24—44no—
1013C24—44no—
1014C24—44no—
1015C24—44no—
1016C24—44no—
1017C24—44no—
1018C24—44no—
1019C24—44no—
1020C24—44no—
1021C24—44no—
1022C24—44no—
1023C24—82no—
1024C24—82no—
1025C24—82no—
1026C24—82no—
1027C24—82no—
1028C24—82no—
1029C24—82no—
1030C24—82no—
1031C24—82no—
1032C24—82no—
1033C24—82no—
1034C24—82no—
1035C24—82no—
1036C24—82no—
1037C24—82no—
1038C24—82no—
1039C24—82no—
1040C24—82no—
1041C24C22×D412yes—
1042C24C22×D412yes—
1043C24C22×D412yes—
1044C24C22×D412yes—
1045C24H(5,𝔽2)12yes—
1046C242−1+412yes—
1047C242−1+412yes—
1048C242−1+412yes—
1049C24C2511yescharacteristic
1050C2×Q8—44no—
1051C2×Q8—44no—
1052C2×Q8—44no—
1053C2×Q8—44no—
1054C2×Q8—44no—
1055C2×Q8—44no—
1056C2×Q8—44no—
1057C2×Q8—44no—
1058C2×Q8—82no—
1059C2×Q8—82no—
1060C2×Q8—82no—
1061C2×Q8—82no—
1062C2×Q8—82no—
1063C2×Q8—82no—
1064C2×D4—28no—
1065C2×D4—28no—
1066C2×D4—44no—
1067C2×D4—44no—
1068C2×D4—44no—
1069C2×D4—44no—
1070C2×D4—44no—
1071C2×D4—44no—
1072C2×D4—44no—
1073C2×D4—44no—
1074C2×D4—44no—
1075C2×D4—44no—
1076C2×D4—44no—
1077C2×D4—44no—
1078C2×D4—44no—
1079C2×D4—44no—
1080C2×D4—44no—
1081C2×D4—44no—
1082C2×D4—44no—
1083C2×D4—44no—
1084C2×D4—44no—
1085C2×D4—44no—
1086C2×D4—44no—
1087C2×D4—44no—
1088C2×D4—44no—
1089C2×D4—44no—
1090C2×D4—82no—
1091C2×D4—82no—
1092C2×D4—82no—
1093C2×D4—82no—
1094C2×D4—82no—
1095C2×D4—82no—
1096C2×D4—82no—
1097C2×D4—82no—
1098C2×D4—82no—
1099C2×D4—82no—
1100C2×D4—82no—
1101C2×D4—82no—
1102C2×D4—82no—
1103C2×D4—82no—
1104C2×D4—82no—
1105C2×D4—82no—
1106C2×D4—82no—
1107C2×D4—82no—
1108C2×D4—82no—
1109C2×D4—82no—
1110C2×D4—82no—
1111C2×D4—82no—
1112C2×D4—82no—
1113C22×C4—21no—
1114C22×C4—21no—
1115C22×C4—21no—
1116C22×C4—21no—
1117C22×C4—21no—
1118C22×C4—21no—
1119C22×C4—21no—
1120C22×C4—21no—
1121C22×C4—21no—
1122C22×C4—21no—
1123C22×C4—21no—
1124C22×C4—21no—
1125C22×C4—21no—
1126C22×C4—21no—
1127C22×C4—21no—
1128C22×C4—21no—
1129C22×C4—21no—
1130C22×C4—21no—
1131C22×C4—21no—
1132C22×C4—21no—
1133C22×C4—21no—
1134C22×C4—21no—
1135C22×C4—21no—
1136C22×C4—21no—
1137C22×C4—21no—
1138C22×C4—21no—
1139C22×C4—21no—
1140C22×C4—21no—
1141C22×C4—21no—
1142C22×C4—21no—
1143C22×C4—21no—
1144C22×C4—21no—
1145C22×C4—21no—
1146C22×C4—21no—
1147C22×C4—21no—
1148C22×C4—21no—
1149C22×C4—21no—
1150C22×C4—21no—
1151C22×C4—21no—
1152C22×C4—21no—
1153C22×C4—21no—
1154C22×C4—21no—
1155C22×C4—21no—
1156C22×C4—21no—
1157C22×C4—21no—
1158C22×C4—21no—
1159C22×C4—21no—
1160C22×C4—21no—
1161C22×C4—21no—
1162C22×C4—21no—
1163C22×C4—21no—
1164C22×C4—21no—
1165C22×C4—21no—
1166C22×C4—21no—
1167C22×C4—21no—
1168C22×C4—21no—
1169C22×C4—21no—
1170C22×C4—21no—
1171C22×C4—21no—
1172C22×C4—21no—
1173C22×C4—21no—
1174C22×C4—21no—
1175C22×C4—21no—
1176C22×C4—21no—
1177C22×C4—21no—
1178C22×C4—21no—
1179C22×C4—21no—
1180C22×C4—21no—
1181C22×C4—21no—
1182C22×C4—21no—
1183C22×C4—21no—
1184C22×C4—21no—
1185C22×C4—21no—
1186C22×C4—21no—
1187C22×C4—21no—
1188C22×C4—21no—
1189C22×C4—21no—
1190C22×C4—21no—
1191C22×C4—21no—
1192C22×C4—21no—
1193C22×C4—21no—
1194C22×C4—21no—
1195C22×C4—21no—
1196C22×C4—21no—
1197C22×C4—28no—
1198C22×C4—28no—
1199C22×C4—21no—
1200C22×C4—21no—
1201C22×C4—21no—
1202C22×C4—21no—
1203C22×C4—21no—
1204C22×C4—21no—
1205C22×C4—21no—
1206C22×C4—21no—
1207C22×C4—21no—
1208C22×C4—21no—
1209C22×C4—21no—
1210C22×C4—21no—
1211C22×C4—21no—
1212C22×C4—21no—
1213C22×C4—21no—
1214C22×C4—21no—
1215C22×C4—21no—
1216C22×C4—21no—
1217C22×C4—21no—
1218C22×C4—21no—
1219C22×C4—21no—
1220C22×C4—21no—
1221C22×C4—21no—
1222C22×C4—21no—
1223C22×C4—21no—
1224C22×C4—21no—
1225C22×C4—21no—
1226C22×C4—21no—
1227C22×C4—21no—
1228C22×C4—21no—
1229C22×C4—21no—
1230C22×C4—21no—
1231C22×C4—21no—
1232C22×C4—21no—
1233C22×C4—21no—
1234C22×C4—21no—
1235C22×C4—21no—
1236C22×C4—21no—
1237C22×C4—21no—
1238C22×C4—21no—
1239C22×C4—21no—
1240C22×C4—21no—
1241C22×C4—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—44no—
1277C22×C4—44no—
1278C22×C4—44no—
1279C22×C4—44no—
1280C22×C4—44no—
1281C22×C4—44no—
1282C22×C4—44no—
1283C22×C4—44no—
1284C22×C4—44no—
1285C22×C4—44no—
1286C22×C4—44no—
1287C22×C4—44no—
1288C22×C4—44no—
1289C22×C4—44no—
1290C22×C4—44no—
1291C22×C4—44no—
1292C22×C4—44no—
1293C22×C4—44no—
1294C22×C4—44no—
1295C22×C4—82no—
1296C22×C4—82no—
1297C22×C4—82no—
1298C22×C4—82no—
1299C22×C4—82no—
1300C22×C4—82no—
1301C22×C4—82no—
1302C22×C4—82no—
1303C22×C4—82no—
1304C22×C4—82no—
1305C22×C4—82no—
1306C22×C4—82no—
1307C22×C4—82no—
1308C22×C4—82no—
1309C22×C4C22×D412yes—
1310C22×C4C22×D412yes—
1311C22×C4C22×D412yes—
1312C22×C4C22×D412yes—
1313C22×C4C22×D412yes—
1314C22×C4C22×D412yes—
1315C22×C4C22×D412yes—
1316C22×C4C22×D412yes—
1317C22×C4C22×D412yes—
1318C22×C4C22×D412yes—
1319C22×C4C22×D412yes—
1320C22×C4C22×D412yes—
1321C22×C4C22×D412yes—
1322C22×C4C22×D412yes—
1323C22×C4C22×D412yes—
1324C22×C4C22×D412yes—
1325C22×C4C22×D412yes—
1326C22×C4H(5,𝔽2)12yes—
1327C22×C4H(5,𝔽2)12yes—
1328C22×C4H(5,𝔽2)12yes—
1329C22×C4H(5,𝔽2)12yes—
1330C4⋊C4—28no—
1331C4⋊C4—28no—
1332C4⋊C4—28no—
1333C4⋊C4—44no—
1334C4⋊C4—44no—
1335C4⋊C4—44no—
1336C4⋊C4—44no—
1337C4⋊C4—44no—
1338C4⋊C4—44no—
1339C4⋊C4—44no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—44no—
1343C4⋊C4—44no—
1344C4⋊C4—44no—
1345C4⋊C4—44no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4—44no—
1350C4⋊C4—82no—
1351C4⋊C4—82no—
1352C4⋊C4—82no—
1353C4⋊C4—82no—
1354C4⋊C4—82no—
1355C4⋊C4—82no—
1356C4⋊C4—82no—
1357C4⋊C4—82no—
1358C4⋊C4—82no—
1359C4⋊C4—82no—
1360C22⋊C4—28no—
1361C22⋊C4—28no—
1362C22⋊C4—28no—
1363C22⋊C4—28no—
1364C22⋊C4—28no—
1365C22⋊C4—28no—
1366C22⋊C4—28no—
1367C22⋊C4—44no—
1368C22⋊C4—44no—
1369C22⋊C4—44no—
1370C22⋊C4—44no—
1371C22⋊C4—44no—
1372C22⋊C4—44no—
1373C22⋊C4—44no—
1374C22⋊C4—44no—
1375C22⋊C4—44no—
1376C22⋊C4—44no—
1377C22⋊C4—44no—
1378C22⋊C4—44no—
1379C22⋊C4—44no—
1380C22⋊C4—44no—
1381C22⋊C4—44no—
1382C22⋊C4—44no—
1383C22⋊C4—44no—
1384C22⋊C4—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—82no—
1398C22⋊C4—82no—
1399C22⋊C4—82no—
1400C22⋊C4—82no—
1401C22⋊C4—82no—
1402C22⋊C4—82no—
1403C22⋊C4—82no—
1404C22⋊C4—82no—
1405C22⋊C4—82no—
1406C22⋊C4—82no—
1407C22⋊C4—82no—
1408C22⋊C4—82no—
1409C22⋊C4—82no—
1410C22⋊C4—82no—
1411C22⋊C4—82no—
1412C22⋊C4—82no—
1413C42—28no—
1414C42—44no—
1415C42—44no—
1416C42—82no—
1417C42—82no—
1418C23—22no—
1419C23—22no—
1420C23—22no—
1421C23—22no—
1422C23—22no—
1423C23—22no—
1424C23—22no—
1425C23—22no—
1426C23—22no—
1427C23—22no—
1428C23—22no—
1429C23—22no—
1430C23—22no—
1431C23—22no—
1432C23—22no—
1433C23—22no—
1434C23—22no—
1435C23—22no—
1436C23—22no—
1437C23—22no—
1438C23—22no—
1439C23—22no—
1440C23—22no—
1441C23—22no—
1442C23—22no—
1443C23—22no—
1444C23—22no—
1445C23—22no—
1446C23—22no—
1447C23—22no—
1448C23—22no—
1449C23—22no—
1450C23—22no—
1451C23—22no—
1452C23—22no—
1453C23—22no—
1454C23—22no—
1455C23—22no—
1456C23—22no—
1457C23—22no—
1458C23—22no—
1459C23—22no—
1460C23—22no—
1461C23—22no—
1462C23—22no—
1463C23—22no—
1464C23—22no—
1465C23—22no—
1466C23—22no—
1467C23—22no—
1468C23—416no—
1469C23—416no—
1470C23—41no—
1471C23—41no—
1472C23—41no—
1473C23—41no—
1474C23—41no—
1475C23—41no—
1476C23—41no—
1477C23—41no—
1478C23—41no—
1479C23—41no—
1480C23—41no—
1481C23—41no—
1482C23—41no—
1483C23—41no—
1484C23—41no—
1485C23—41no—
1486C23—41no—
1487C23—41no—
1488C23—41no—
1489C23—41no—
1490C23—41no—
1491C23—41no—
1492C23—41no—
1493C23—41no—
1494C23—41no—
1495C23—41no—
1496C23—41no—
1497C23—41no—
1498C23—41no—
1499C23—41no—
1500C23—41no—
1501C23—41no—
1502C23—41no—
1503C23—41no—
1504C23—41no—
1505C23—41no—
1506C23—41no—
1507C23—41no—
1508C23—41no—
1509C23—41no—
1510C23—41no—
1511C23—41no—
1512C23—41no—
1513C23—41no—
1514C23—41no—
1515C23—41no—
1516C23—41no—
1517C23—41no—
1518C23—41no—
1519C23—41no—
1520C23—41no—
1521C23—41no—
1522C23—41no—
1523C23—41no—
1524C23—41no—
1525C23—41no—
1526C23—41no—
1527C23—41no—
1528C23—41no—
1529C23—41no—
1530C23—41no—
1531C23—41no—
1532C23—41no—
1533C23—41no—
1534C23—41no—
1535C23—41no—
1536C23—41no—
1537C23—41no—
1538C23—41no—
1539C23—41no—
1540C23—41no—
1541C23—41no—
1542C23—41no—
1543C23—41no—
1544C23—41no—
1545C23—41no—
1546C23—41no—
1547C23—41no—
1548C23—41no—
1549C23—41no—
1550C23—41no—
1551C23—41no—
1552C23—41no—
1553C23—41no—
1554C23—41no—
1555C23—41no—
1556C23—41no—
1557C23—41no—
1558C23—41no—
1559C23—41no—
1560C23—41no—
1561C23—41no—
1562C23—41no—
1563C23—41no—
1564C23—41no—
1565C23—41no—
1566C23—41no—
1567C23—41no—
1568C23—41no—
1569C23—41no—
1570C23—41no—
1571C23—41no—
1572C23—41no—
1573C23—41no—
1574C23—41no—
1575C23—41no—
1576C23—41no—
1577C23—41no—
1578C23—41no—
1579C23—41no—
1580C23—41no—
1581C23—41no—
1582C23—41no—
1583C23—41no—
1584C23—41no—
1585C23—41no—
1586C23—41no—
1587C23—41no—
1588C23—41no—
1589C23—41no—
1590C23—41no—
1591C23—41no—
1592C23—41no—
1593C23—88no—
1594C23—88no—
1595C23—88no—
1596C23—88no—
1597C23—88no—
1598C23—88no—
1599C23—88no—
1600C23—88no—
1601C23—88no—
1602C23—88no—
1603C23—88no—
1604C23—88no—
1605C23—88no—
1606C23#53614yes—
1607C23#53714yes—
1608C23C23×D411yescharacteristic
1609C23C23×D411yescharacteristic
1610C23C23×D411yescharacteristic
1611C23C2×H(5,𝔽2)11yescharacteristic
1612C23C2×H(5,𝔽2)11yescharacteristic
1613C23C2×H(5,𝔽2)11yescharacteristic
1614C23C2×H(5,𝔽2)11yescharacteristic
1615C23C2×H(5,𝔽2)11yescharacteristic
1616C23C2×2−1+411yescharacteristic
1617C23C2×2−1+411yescharacteristic
1618C23C2×2−1+411yescharacteristic
1619C23#58511yescharacteristic
1620C23#58511yescharacteristic
1621C23#58511yescharacteristic
1622C23#58511yescharacteristic
1623Q8—88no—
1624Q8—88no—
1625D4—416no—
1626D4—88no—
1627D4—88no—
1628D4—88no—
1629D4—88no—
1630D4—88no—
1631D4—88no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—22no—
1638C2×C4—22no—
1639C2×C4—22no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—22no—
1646C2×C4—22no—
1647C2×C4—22no—
1648C2×C4—22no—
1649C2×C4—22no—
1650C2×C4—22no—
1651C2×C4—22no—
1652C2×C4—22no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—22no—
1662C2×C4—22no—
1663C2×C4—22no—
1664C2×C4—22no—
1665C2×C4—22no—
1666C2×C4—22no—
1667C2×C4—22no—
1668C2×C4—22no—
1669C2×C4—22no—
1670C2×C4—22no—
1671C2×C4—22no—
1672C2×C4—22no—
1673C2×C4—22no—
1674C2×C4—22no—
1675C2×C4—22no—
1676C2×C4—22no—
1677C2×C4—22no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—22no—
1681C2×C4—22no—
1682C2×C4—22no—
1683C2×C4—22no—
1684C2×C4—22no—
1685C2×C4—22no—
1686C2×C4—416no—
1687C2×C4—41no—
1688C2×C4—41no—
1689C2×C4—41no—
1690C2×C4—41no—
1691C2×C4—41no—
1692C2×C4—41no—
1693C2×C4—41no—
1694C2×C4—41no—
1695C2×C4—41no—
1696C2×C4—41no—
1697C2×C4—41no—
1698C2×C4—41no—
1699C2×C4—41no—
1700C2×C4—41no—
1701C2×C4—41no—
1702C2×C4—41no—
1703C2×C4—41no—
1704C2×C4—41no—
1705C2×C4—41no—
1706C2×C4—41no—
1707C2×C4—41no—
1708C2×C4—41no—
1709C2×C4—41no—
1710C2×C4—41no—
1711C2×C4—41no—
1712C2×C4—41no—
1713C2×C4—41no—
1714C2×C4—41no—
1715C2×C4—41no—
1716C2×C4—41no—
1717C2×C4—41no—
1718C2×C4—41no—
1719C2×C4—41no—
1720C2×C4—41no—
1721C2×C4—41no—
1722C2×C4—41no—
1723C2×C4—41no—
1724C2×C4—41no—
1725C2×C4—41no—
1726C2×C4—41no—
1727C2×C4—41no—
1728C2×C4—41no—
1729C2×C4—41no—
1730C2×C4—41no—
1731C2×C4—41no—
1732C2×C4—41no—
1733C2×C4—41no—
1734C2×C4—41no—
1735C2×C4—41no—
1736C2×C4—41no—
1737C2×C4—41no—
1738C2×C4—41no—
1739C2×C4—41no—
1740C2×C4—41no—
1741C2×C4—41no—
1742C2×C4—41no—
1743C2×C4—41no—
1744C2×C4—41no—
1745C2×C4—41no—
1746C2×C4—41no—
1747C2×C4—41no—
1748C2×C4—41no—
1749C2×C4—41no—
1750C2×C4—41no—
1751C2×C4—41no—
1752C2×C4—41no—
1753C2×C4—41no—
1754C2×C4—41no—
1755C2×C4—41no—
1756C2×C4—41no—
1757C2×C4—41no—
1758C2×C4—41no—
1759C2×C4—41no—
1760C2×C4—41no—
1761C2×C4—41no—
1762C2×C4—41no—
1763C2×C4—41no—
1764C2×C4—41no—
1765C2×C4—41no—
1766C2×C4—41no—
1767C2×C4—41no—
1768C2×C4—41no—
1769C2×C4—41no—
1770C2×C4—41no—
1771C2×C4—41no—
1772C2×C4—41no—
1773C2×C4—41no—
1774C2×C4—41no—
1775C2×C4—41no—
1776C2×C4—41no—
1777C2×C4—41no—
1778C2×C4—41no—
1779C2×C4—41no—
1780C2×C4—41no—
1781C2×C4—41no—
1782C2×C4—41no—
1783C2×C4—41no—
1784C2×C4—41no—
1785C2×C4—41no—
1786C2×C4—41no—
1787C2×C4—41no—
1788C2×C4—41no—
1789C2×C4—41no—
1790C2×C4—41no—
1791C2×C4—41no—
1792C2×C4—41no—
1793C2×C4—41no—
1794C2×C4—41no—
1795C2×C4—41no—
1796C2×C4—41no—
1797C2×C4—41no—
1798C2×C4—41no—
1799C2×C4—41no—
1800C2×C4—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—88no—
1813C2×C4—88no—
1814C2×C4—88no—
1815C2×C4—88no—
1816C2×C4D4214yes—
1817C2×C4D4214yes—
1818C2×C4D4214yes—
1819C22—24no—
1820C22—24no—
1821C22—24no—
1822C22—24no—
1823C22—24no—
1824C22—24no—
1825C22—42no—
1826C22—42no—
1827C22—42no—
1828C22—42no—
1829C22—42no—
1830C22—42no—
1831C22—42no—
1832C22—42no—
1833C22—42no—
1834C22—42no—
1835C22—42no—
1836C22—42no—
1837C22—42no—
1838C22—42no—
1839C22—42no—
1840C22—42no—
1841C22—42no—
1842C22—42no—
1843C22—42no—
1844C22—42no—
1845C22—42no—
1846C22—42no—
1847C22—42no—
1848C22—42no—
1849C22—42no—
1850C22—42no—
1851C22—42no—
1852C22—42no—
1853C22—42no—
1854C22—42no—
1855C22—42no—
1856C22—42no—
1857C22—42no—
1858C22—42no—
1859C22—42no—
1860C22—42no—
1861C22—42no—
1862C22—42no—
1863C22—832no—
1864C22—81no—
1865C22—81no—
1866C22—81no—
1867C22—81no—
1868C22—81no—
1869C22—81no—
1870C22—81no—
1871C22—81no—
1872C22—81no—
1873C22—81no—
1874C22—81no—
1875C22—81no—
1876C22—81no—
1877C22—81no—
1878C22—81no—
1879C22—81no—
1880C22—81no—
1881C22—81no—
1882C22—81no—
1883C22—81no—
1884C22—81no—
1885C22—81no—
1886C22—81no—
1887C22—81no—
1888C22—81no—
1889C22—81no—
1890C22—81no—
1891C22—81no—
1892C22—81no—
1893C22—81no—
1894C22—81no—
1895C22C2×#53611yescharacteristic
1896C22C2×#53711yescharacteristic
1897C22C2×D4211yescharacteristic
1898C22C2×D4211yescharacteristic
1899C22C2×D4211yescharacteristic
1900C22#348411yescharacteristic
1901C22#348611yescharacteristic
1902C22#348811yescharacteristic
1903C22#348811yescharacteristic
1904C22#348811yescharacteristic
1905C22#348811yescharacteristic
1906C22#348911yescharacteristic
1907C22#348911yescharacteristic
1908C22#348911yescharacteristic
1909C22#348911yescharacteristic
1910C22#349611yescharacteristic
1911C22#349611yescharacteristic
1912C22#350011yescharacteristic
1913C22#353511yescharacteristic
1914C22#353611yescharacteristic
1915C22#353611yescharacteristic
1916C22#353611yescharacteristic
1917C22#353711yescharacteristic
1918C22#353811yescharacteristic
1919C22#354111yescharacteristic
1920C22#354111yescharacteristic
1921C22#354211yescharacteristic
1922C22#354211yescharacteristic
1923C22#354611yescharacteristic
1924C22#356011yescharacteristic
1925C22#356111yescharacteristic
1926C22#356111yescharacteristic
1927C22#356111yescharacteristic
1928C22#356411yescharacteristic
1929C22#356811yescharacteristic
1930C4—24no—
1931C4—24no—
1932C4—24no—
1933C4—42no—
1934C4—42no—
1935C4—42no—
1936C4—42no—
1937C4—42no—
1938C4—42no—
1939C4—42no—
1940C4—42no—
1941C4—42no—
1942C4—42no—
1943C4—42no—
1944C4—42no—
1945C4—81no—
1946C4—81no—
1947C4—81no—
1948C4—81no—
1949C4—81no—
1950C4—81no—
1951C4—81no—
1952C4—81no—
1953C4—81no—
1954C4—81no—
1955C4—81no—
1956C2—44no—
1957C2—44no—
1958C2—82no—
1959C2—82no—
1960C2—161no—
1961C2#3764811yescharacteristic
1962C2#3764911yescharacteristic
1963C2#3765111yescharacteristic
1964C2#3767611yescharacteristic
1965C2#4048711yescharacteristic
1966C2#4198411yescharacteristic
1967C2#4390711yescharacteristic
1968C2#4486811yescharacteristic
1969C2#4637311yescharacteristic
1970C2#4787211yescharacteristic
1971C2#5064111yescharacteristic
1972C2#5141011yescharacteristic
1973C2#5641811yescharacteristic
1974C2#5667111yescharacteristic
1975C2#5899711yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
prime radicalC2×#2424C2
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C24 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#2683C2semidirect
2. C2×#2415C2semidirect
3. C2×#2472C2semidirect
5. C2×#2437C2semidirect
6. C2×#2620C2semidirect
7. #17109C2semidirect
8. #16510C2semidirect
9. #16467C2semidirect
10. #16295C2semidirect
11. #16272C2semidirect
12. #16261C2semidirect
13. #16253C2semidirect
14. #15615C2semidirect
15. #15493C2semidirect
16. #15426C2semidirect
17. #15325C2semidirect
18. #15316C2semidirect
19. #15309C2semidirect
20. #15302C2semidirect
21. #15281C2semidirect
22. #15280C2semidirect
23. #15276C2semidirect
24. #15268C2semidirect
25. #15131C2semidirect
26. #14726C2semidirect
27. #14725C2semidirect
28. #14723C2semidirect
29. #14562C2semidirect
30. #14405C2semidirect
31. #14064C2semidirect
36. C22×C22⋊Q8C22semidirect
37. C22×C22⋊Q8C22semidirect
43. C22×#117C22semidirect
53. C2×#399C22semidirect
55. C2×#397C22semidirect
56. C2×#397C22semidirect
63. C2×#396C22semidirect
64. C2×#396C22semidirect
65. C2×#396C22semidirect
66. C2×#396C22semidirect
67. C2×#396C22semidirect
68. C2×#395C22semidirect
69. C2×#395C22semidirect
70. C2×#395C22semidirect
81. C2×#394C22semidirect
82. C2×#394C22semidirect
85. C2×#393C22semidirect
87. C2×#391C22semidirect
88. C2×#391C22semidirect
93. C2×#389C22semidirect
94. C2×#389C22semidirect
95. C2×#389C22semidirect
96. C2×#389C22semidirect
97. C2×#389C22semidirect
98. C2×#389C22semidirect
118. C2×#384C22semidirect
127. #1445C22semidirect
128. #1444C22semidirect
129. #1444C22semidirect
130. #1444C22semidirect
131. #1444C22semidirect
132. #1443C22semidirect
133. #1442C22semidirect
134. #1442C22semidirect
135. #1441C22semidirect
136. #1441C22semidirect
137. #1441C22semidirect
138. #1441C22semidirect
139. #1441C22semidirect
140. #1441C22semidirect
141. #1441C22semidirect
142. #1441C22semidirect
143. #1441C22semidirect
161. #1439C22semidirect
162. #1439C22semidirect
163. #1439C22semidirect
164. #1439C22semidirect
165. #1439C22semidirect
166. #1439C22semidirect
167. #1439C22semidirect
168. #1439C22semidirect
169. #1439C22semidirect
178. #1438C22semidirect
179. #1438C22semidirect
181. #1437C22semidirect
182. #1437C22semidirect
183. #1436C22semidirect
184. #1436C22semidirect
185. #1436C22semidirect
186. #1436C22semidirect
187. #1436C22semidirect
188. C4⋊#95C22semidirect
189. #1434C22semidirect
192. C22⋊#95C22semidirect
353. #396D4semidirect
390. #388D4semidirect

Maximal subgroups

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

subgroupindex
C2×#26832
C2×#24152
C2×#24722
C2×#24242
C2×#24372
C2×#26202
#171092
#165102
#164672
#162952
#162722
#162612
#162532
#156152
#154932
#154262
#153252
#153162
#153092
#153022
#152812
#152802
#152762
#152682
#151312
#147262
#147252
#147232
#145622
#144052
#140642