Finite Group Databasebeta

← #1515313

Subgroups — #1515313

Order 512.

3968 conjugacy classes of subgroups.

The subgroup lattice has 2183 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2730C211yesmaximal, characteristic, complemented
2C2×#2676C211yesmaximal, characteristic, complemented
3C2×#2670C211yesmaximal, characteristic, complemented
4C2×#2424C211yesmaximal, characteristic, complemented
5#17101C211yesmaximal, characteristic, complemented
6#17086C211yesmaximal, characteristic, complemented
7#17077C211yesmaximal, characteristic, complemented
8#16822C211yesmaximal, characteristic, complemented
9#16819C211yesmaximal, characteristic, complemented
10#16363C211yesmaximal, characteristic, complemented
11#16338C211yesmaximal, characteristic, complemented
12#16291C211yesmaximal, characteristic, complemented
13#16269C211yesmaximal, characteristic, complemented
14#16252C211yesmaximal, characteristic, complemented
15#16249C211yesmaximal, characteristic, complemented
16#15380C211yesmaximal, characteristic, complemented
17#15345C211yesmaximal, characteristic, complemented
18#15335C211yesmaximal, characteristic, complemented
19#15317C211yesmaximal, characteristic, complemented
20#15315C211yesmaximal, characteristic, complemented
21#15280C211yesmaximal, characteristic, complemented
22#15278C211yesmaximal, characteristic, complemented
23#15273C211yesmaximal, characteristic, complemented
24#15267C211yesmaximal, characteristic, complemented
25#15257C211yesmaximal, characteristic, complemented
26#15172C211yesmaximal, characteristic, complemented
27#15123C211yesmaximal, characteristic, complemented
28#14734C211yesmaximal, characteristic, complemented
29#14716C211yesmaximal, characteristic, complemented
30#14279C211yesmaximal, characteristic, complemented
31#14027C211yesmaximal, characteristic, complemented
32C22×#124C2211yescharacteristic
33C22×#124C2211yescharacteristic
34C22×C22⋊Q8C2211yescharacteristic, complemented
35C22×#121C2211yescharacteristic
36C22×#121C2211yescharacteristic
37C22×#121C2211yescharacteristic
38C22×#121C2211yescharacteristic
39C22×#121C2211yescharacteristic, complemented
40C22×#120C2211yescharacteristic
41C22×#120C2211yescharacteristic
42C22×#120C2211yescharacteristic
43C22×#120C2211yescharacteristic
44C22×C4×D4C2211yescharacteristic
45C23×C22⋊C4C2211yescharacteristic
46#2730—28no—
47#2676—28no—
48#2670—28no—
49#2424—28no—
50C2×#399C2211yescharacteristic
51C2×#399C2211yescharacteristic
52C2×#399C2211yescharacteristic, complemented
53C2×#399C2211yescharacteristic, complemented
54C2×#399C2211yescharacteristic, complemented
55C2×#397C2211yescharacteristic, complemented
56C2×#396C2211yescharacteristic
57C2×#396C2211yescharacteristic, complemented
58C2×#396C2211yescharacteristic, complemented
59C2×#394C2211yescharacteristic
60C2×#394C2211yescharacteristic
61C2×#394C2211yescharacteristic
62C2×#394C2211yescharacteristic
63C2×#394C2211yescharacteristic
64C2×#394C2211yescharacteristic
65C2×#394C2211yescharacteristic
66C2×#394C2211yescharacteristic
67C2×#394C2211yescharacteristic, complemented
68C2×#394C2211yescharacteristic, complemented
69C2×#394C2211yescharacteristic, complemented
70C2×#393C2211yescharacteristic
71C2×#393C2211yescharacteristic, complemented
72C2×#392C2211yescharacteristic
73C2×#392C2211yescharacteristic
74C2×#392C2211yescharacteristic
75C2×#392C2211yescharacteristic
76C2×#392C2211yescharacteristic
77C2×#392C2211yescharacteristic
78C2×#392C2211yescharacteristic
79C2×#392C2211yescharacteristic
80C2×#392C2211yescharacteristic
81C2×#392C2211yescharacteristic
82C2×#392C2211yescharacteristic
83C2×#392C2211yescharacteristic
84C2×#392C2211yescharacteristic
85C2×#392C2211yescharacteristic
86C2×#392C2211yescharacteristic, complemented
87C2×#392C2211yescharacteristic, complemented
88C2×#392C2211yescharacteristic, complemented
89C2×#391C2211yescharacteristic, complemented
90C2×#391C2211yescharacteristic, complemented
91C2×#390C2211yescharacteristic
92C2×#390C2211yescharacteristic
93C2×#390C2211yescharacteristic
94C2×#390C2211yescharacteristic
95C2×#390C2211yescharacteristic
96C2×#390C2211yescharacteristic, complemented
97C2×#390C2211yescharacteristic, complemented
98C2×#390C2211yescharacteristic, complemented
99C2×#388C2211yescharacteristic
100C2×#388C2211yescharacteristic
101C2×#388C2211yescharacteristic
102C2×#388C2211yescharacteristic, complemented
103C2×#387C2211yescharacteristic, complemented
104C2×#387C2211yescharacteristic, complemented
105C2×#386C2211yescharacteristic
106C2×#386C2211yescharacteristic
107C2×#386C2211yescharacteristic
108C2×#386C2211yescharacteristic
109C2×#386C2211yescharacteristic
110C2×#386C2211yescharacteristic
111C2×#386C2211yescharacteristic, complemented
112C2×#386C2211yescharacteristic, complemented
113C2×#385C2211yescharacteristic
114C2×#385C2211yescharacteristic
115C2×#385C2211yescharacteristic
116C2×#380C2211yescharacteristic
117C2×#380C2211yescharacteristic, complemented
118C2×#379C2211yescharacteristic
119C2×#379C2211yescharacteristic
120#1444C2211yescharacteristic, complemented
121#1444C2211yescharacteristic, complemented
122#1444C2211yescharacteristic, complemented
123#1443C2211yescharacteristic, complemented
124#1442C2211yescharacteristic, complemented
125#1442C2211yescharacteristic, complemented
126#1442C2211yescharacteristic, complemented
127#1442C2211yescharacteristic, complemented
128#1442C2211yescharacteristic, complemented
129#1441C2211yescharacteristic, complemented
130#1441C2211yescharacteristic, complemented
131#1440C2211yescharacteristic
132#1440C2211yescharacteristic
133#1440C2211yescharacteristic
134#1440C2211yescharacteristic, complemented
135#1440C2211yescharacteristic, complemented
136#1440C2211yescharacteristic, complemented
137#1440C2211yescharacteristic, complemented
138#1440C2211yescharacteristic, complemented
139#1439C2211yescharacteristic
140#1439C2211yescharacteristic
141#1439C2211yescharacteristic
142#1439C2211yescharacteristic
143#1439C2211yescharacteristic
144#1439C2211yescharacteristic
145#1439C2211yescharacteristic
146#1439C2211yescharacteristic
147#1439C2211yescharacteristic
148#1439C2211yescharacteristic
149#1439C2211yescharacteristic
150#1439C2211yescharacteristic
151#1439C2211yescharacteristic
152#1439C2211yescharacteristic, complemented
153#1439C2211yescharacteristic, complemented
154#1439C2211yescharacteristic, complemented
155#1439C2211yescharacteristic, complemented
156#1439C2211yescharacteristic, complemented
157#1439C2211yescharacteristic, complemented
158#1439C2211yescharacteristic, complemented
159#1439C2211yescharacteristic, complemented
160#1439C2211yescharacteristic, complemented
161#1438C2211yescharacteristic
162#1438C2211yescharacteristic
163#1438C2211yescharacteristic
164#1438C2211yescharacteristic
165#1438C2211yescharacteristic
166#1438C2211yescharacteristic
167#1438C2211yescharacteristic
168#1438C2211yescharacteristic
169#1438C2211yescharacteristic
170#1438C2211yescharacteristic
171#1438C2211yescharacteristic
172#1438C2211yescharacteristic
173#1438C2211yescharacteristic
174#1438C2211yescharacteristic
175#1438C2211yescharacteristic, complemented
176#1438C2211yescharacteristic, complemented
177#1438C2211yescharacteristic, complemented
178#1438C2211yescharacteristic, complemented
179#1437C2211yescharacteristic
180#1437C2211yescharacteristic, complemented
181#1436C2211yescharacteristic, complemented
182#1436C2211yescharacteristic, complemented
183C4⋊#95C2211yescharacteristic, complemented
184C4⋊#95C2211yescharacteristic, complemented
185C22⋊#95C2211yescharacteristic
186C22⋊#95C2211yescharacteristic
187C22⋊#95C2211yescharacteristic, complemented
188C22⋊#95C2211yescharacteristic, complemented
189C22⋊#95C2211yescharacteristic, complemented
190C4×#95C2211yescharacteristic, complemented
191C26C2311yescharacteristic
192C23×Q8C2311yescharacteristic
193C23×D4C2311yescharacteristic
194C23×D4C2311yescharacteristic
195C23×D4C2311yescharacteristic
196C23×D4C2311yescharacteristic
197C23×D4C2311yescharacteristic
198C23×D4C2311yescharacteristic
199C23×D4C2311yescharacteristic
200C23×D4C2311yescharacteristic
201C23×D4C2311yescharacteristic
202C23×D4C2311yescharacteristic
203C23×D4C2311yescharacteristic
204C23×D4C2311yescharacteristic
205C23×D4C2311yescharacteristic
206C23×D4C2311yescharacteristic
207C23×D4C2311yescharacteristic
208C23×D4C2311yescharacteristic
209C23×D4C2311yescharacteristic
210C23×D4C2311yescharacteristic
211C24×C4C2311yescharacteristic
212C24×C4C2311yescharacteristic
213C24×C4C2311yescharacteristic
214C24×C4C2311yescharacteristic
215C2×#124—24no—
216C2×#124—24no—
217C2×#124—42no—
218C2×#124—42no—
219C2×#124—42no—
220C2×#124D418yescomplemented
221C2×C22⋊Q8—24no—
222C2×C22⋊Q8—24no—
223C2×C22⋊Q8—42no—
224C2×#121—24no—
225C2×#121—24no—
226C2×#121—24no—
227C2×#121—24no—
228C2×#121—42no—
229C2×#121—42no—
230C2×#121—42no—
231C2×#121—42no—
232C2×#121—42no—
233C2×#121—42no—
234C2×#121—42no—
235C2×#121—42no—
236C2×#121—42no—
237C2×#121—42no—
238C2×#121—42no—
239C2×#120—24no—
240C2×#120—24no—
241C2×#120—24no—
242C2×#120—24no—
243C2×#120—42no—
244C2×#120—42no—
245C2×#120—42no—
246C2×#120—42no—
247C2×#120—42no—
248C2×#120—42no—
249C2×#120—42no—
250C2×#120—42no—
251C2×C4×D4—24no—
252C2×C4×D4—42no—
253C2×C4×D4—42no—
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×C22⋊C4—24no—
272C22×C22⋊C4—42no—
273C22×C22⋊C4—42no—
274C22×C22⋊C4C2311yescharacteristic
275C22×C22⋊C4C2311yescharacteristic
276C22×C22⋊C4C2311yescharacteristic
277C22×C22⋊C4C2311yescharacteristic
278C22×C22⋊C4C2311yescharacteristic
279C22×C22⋊C4C2311yescharacteristic
280C22×C22⋊C4C2311yescharacteristic
281C22×C22⋊C4C2311yescharacteristic
282C22×C22⋊C4C2311yescharacteristic
283C22×C22⋊C4C2311yescharacteristic
284C22×C22⋊C4C2311yescharacteristic
285C22×C22⋊C4C2311yescharacteristic
286C22×C22⋊C4C2311yescharacteristic
287C22×C22⋊C4C2311yescharacteristic
288C22×C22⋊C4C2311yescharacteristic
289C22×C22⋊C4C2311yescharacteristic
290C22×C22⋊C4C2311yescharacteristic
291C22×C22⋊C4C2311yescharacteristic
292C22×C22⋊C4C2311yescharacteristic
293C22×C22⋊C4C2311yescharacteristic
294C22×C22⋊C4C2311yescharacteristic
295C22×C22⋊C4C2311yescharacteristic
296C22×C22⋊C4C2311yescharacteristic
297C22×C22⋊C4C2311yescharacteristic
298C22×C22⋊C4C2311yescharacteristic
299C22×C22⋊C4C2311yescharacteristic
300C22×C22⋊C4C2311yescharacteristic
301C22×C22⋊C4C2311yescharacteristic
302C22×C22⋊C4C2311yescharacteristic
303C22×C22⋊C4C2311yescharacteristic
304C22×C22⋊C4C2311yescharacteristic
305C22×C22⋊C4C2311yescharacteristic
306C22×C22⋊C4C2311yescharacteristic
307C22×C22⋊C4C2311yescharacteristic
308C22×C22⋊C4C2311yescharacteristic
309C22×C22⋊C4C2311yescharacteristic
310C22×C22⋊C4C2311yescharacteristic
311C22×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×C42C2311yescharacteristic
337C22×C42C2311yescharacteristic
338C22×C42C2311yescharacteristic
339C22×C42C2311yescharacteristic
340#399—24no—
341#399—42no—
342#399—42no—
343#399—42no—
344#399—42no—
345#397—24no—
346#396—24no—
347#396—24no—
348#396—24no—
349#394—24no—
350#394—24no—
351#394—24no—
352#394—24no—
353#394—24no—
354#394—24no—
355#394—24no—
356#394—24no—
357#394—42no—
358#394—42no—
359#394—42no—
360#393—24no—
361#393—24no—
362#392—24no—
363#392—24no—
364#392—24no—
365#392—24no—
366#392—24no—
367#392—24no—
368#392—24no—
369#392—42no—
370#392—42no—
371#392—42no—
372#392—42no—
373#392—42no—
374#392—42no—
375#392—42no—
376#392—42no—
377#392—42no—
378#392—42no—
379#391—24no—
380#391—42no—
381#390—24no—
382#390—24no—
383#390—24no—
384#390—24no—
385#390—24no—
386#390—42no—
387#390—42no—
388#390—42no—
389#388—24no—
390#388—24no—
391#388—24no—
392#388D418yescomplemented
393#387—24no—
394#387—24no—
395#386—24no—
396#386—24no—
397#386—24no—
398#386—24no—
399#386—24no—
400#386—24no—
401#386—42no—
402#386—42no—
403#385—24no—
404#385—24no—
405#385—42no—
406#380—42no—
407#380—42no—
408#379—24no—
409#379—42no—
410C2×#95C2311yescharacteristic
411C2×#95C2311yescharacteristic
412C2×#95C2311yescharacteristic
413C2×#95C2311yescharacteristic
414C2×#95C2311yescharacteristic
415C2×#95C2311yescharacteristic
416C2×#95C2311yescharacteristic
417C2×#95C2311yescharacteristic
418C2×#95C2311yescharacteristic
419C2×#95C2311yescharacteristic
420C2×#95C2311yescharacteristic
421C2×#95C2311yescharacteristic
422C2×#95C2311yescharacteristic
423C2×#95C2311yescharacteristic
424C2×#95C2311yescharacteristic
425C2×#95C2311yescharacteristic
426C2×#95C2311yescharacteristic
427C2×#95C2311yescharacteristic
428C2×#95C2311yescharacteristic
429C2×#95C2311yescharacteristic
430C2×#95C2311yescharacteristic
431C2×#95C2311yescharacteristic
432C2×#95C2311yescharacteristic
433C2×#95C2311yescharacteristic
434C2×#95C2311yescharacteristic
435C2×#95C2311yescharacteristic
436C2×#95C2311yescharacteristic
437C2×#95C2311yescharacteristic
438C2×#95C2311yescharacteristic
439C2×#95C2311yescharacteristic
440C2×#95C2311yescharacteristic
441C2×#95C2311yescharacteristic
442C2×#95C2311yescharacteristic
443C2×#95C2311yescharacteristic
444C2×#95C2311yescharacteristic
445C2×#95C2311yescharacteristic
446C2×#95C2311yescharacteristic
447C2×#95C2311yescharacteristic
448C2×#95C2311yescharacteristic
449C2×#95C2311yescharacteristic
450C2×#95C2311yescharacteristic
451C2×#95C2311yescharacteristic
452C2×#95C2311yescharacteristic
453C2×#95C2311yescharacteristic
454C2×#95C2311yescharacteristic
455C2×#95C2311yescharacteristic
456C2×#95C2311yescharacteristic
457C2×#95C2311yescharacteristic
458C25—22no—
459C25—22no—
460C25—22no—
461C25—22no—
462C25—22no—
463C25—41no—
464C25—41no—
465C25—41no—
466C25—41no—
467C25—41no—
468C25—41no—
469C25—41no—
470C25—41no—
471C25—41no—
472C25—41no—
473C25C2411yescharacteristic
474C25C2411yescharacteristic
475C25C2411yescharacteristic
476C25C2411yescharacteristic
477C25C2411yescharacteristic
478C25C2411yescharacteristic
479C25C2411yescharacteristic
480C22×Q8—22no—
481C22×Q8—22no—
482C22×Q8—41no—
483C22×Q8—41no—
484C22×Q8—41no—
485C22×Q8—41no—
486C22×Q8C2×D414yes—
487C22×D4—22no—
488C22×D4—22no—
489C22×D4—22no—
490C22×D4—22no—
491C22×D4—22no—
492C22×D4—22no—
493C22×D4—22no—
494C22×D4—22no—
495C22×D4—22no—
496C22×D4—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—22no—
525C22×D4—22no—
526C22×D4—22no—
527C22×D4—22no—
528C22×D4—22no—
529C22×D4—22no—
530C22×D4—22no—
531C22×D4—22no—
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×D4—41no—
573C22×D4—41no—
574C22×D4—41no—
575C22×D4—41no—
576C22×D4—41no—
577C22×D4—41no—
578C22×D4—41no—
579C22×D4—41no—
580C22×D4—41no—
581C22×D4—41no—
582C22×D4—41no—
583C22×D4—41no—
584C22×D4—41no—
585C22×D4—41no—
586C22×D4—41no—
587C22×D4—41no—
588C22×D4—41no—
589C22×D4—41no—
590C22×D4—41no—
591C22×D4—41no—
592C22×D4—41no—
593C22×D4—41no—
594C22×D4—41no—
595C22×D4—41no—
596C22×D4—41no—
597C22×D4—41no—
598C22×D4—41no—
599C22×D4—41no—
600C22×D4—41no—
601C22×D4—41no—
602C22×D4—41no—
603C22×D4—41no—
604C22×D4—41no—
605C22×D4—41no—
606C22×D4—41no—
607C22×D4—41no—
608C22×D4—41no—
609C22×D4—41no—
610C22×D4—41no—
611C22×D4—41no—
612C22×D4C2×D414yes—
613C23×C4—22no—
614C23×C4—22no—
615C23×C4—22no—
616C23×C4—22no—
617C23×C4—22no—
618C23×C4—22no—
619C23×C4—22no—
620C23×C4—22no—
621C23×C4—22no—
622C23×C4—22no—
623C23×C4—22no—
624C23×C4—22no—
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×C4C2411yescharacteristic
642C23×C4C2411yescharacteristic
643C23×C4C2411yescharacteristic
644C23×C4C2411yescharacteristic
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
665#124—416no—
666#124—416no—
667C22⋊Q8—416no—
668#121—416no—
669#121—416no—
670#121—416no—
671#121—416no—
672#121—416no—
673#120—416no—
674#120—416no—
675#120—416no—
676#120—416no—
677C4×D4—416no—
678C2×C4⋊C4—22no—
679C2×C4⋊C4—22no—
680C2×C4⋊C4—22no—
681C2×C4⋊C4—22no—
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—41no—
702C2×C4⋊C4—41no—
703C2×C4⋊C4—41no—
704C2×C4⋊C4—41no—
705C2×C4⋊C4—41no—
706C2×C4⋊C4—41no—
707C2×C4⋊C4—41no—
708C2×C4⋊C4—41no—
709C2×C4⋊C4—41no—
710C2×C4⋊C4—41no—
711C2×C4⋊C4—41no—
712C2×C4⋊C4—41no—
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⋊C4—41no—
728C2×C4⋊C4C2×D414yes—
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—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—416no—
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⋊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⋊C4—41no—
897C2×C22⋊C4—41no—
898C2×C22⋊C4—41no—
899C2×C22⋊C4—41no—
900C2×C22⋊C4—41no—
901C2×C22⋊C4—41no—
902C2×C22⋊C4—41no—
903C2×C22⋊C4—41no—
904C2×C22⋊C4—41no—
905C2×C22⋊C4—41no—
906C2×C22⋊C4—41no—
907C2×C22⋊C4—41no—
908C2×C22⋊C4—41no—
909C2×C22⋊C4C2×D414yes—
910C2×C22⋊C4C2×D414yes—
911C2×C22⋊C4C2×D414yes—
912C2×C22⋊C4C2×D414yes—
913C2×C22⋊C4C2×D414yes—
914C2×C22⋊C4C2×D414yes—
915C2×C22⋊C4C2×D414yes—
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×C42C2×D414yes—
927C2×C42C2×D414yes—
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—41no—
955#95—41no—
956#95—41no—
957#95—41no—
958#95—41no—
959#95—41no—
960#95—41no—
961#95—41no—
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#95C2×D414yes—
975#95C2×D414yes—
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—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—21no—
1060C24—21no—
1061C24—21no—
1062C24—21no—
1063C24—21no—
1064C24—21no—
1065C24—21no—
1066C24—21no—
1067C24—21no—
1068C24—21no—
1069C24—21no—
1070C24—21no—
1071C24—21no—
1072C24—21no—
1073C24—21no—
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—82no—
1088C24—82no—
1089C24—82no—
1090C24—82no—
1091C24—82no—
1092C24—82no—
1093C24—82no—
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—
1109C24C22×D412yes—
1110C24C22×D412yes—
1111C24C22×D412yes—
1112C24H(5,𝔽2)12yes—
1113C24H(5,𝔽2)12yes—
1114C24H(5,𝔽2)12yes—
1115C242−1+412yes—
1116C24C2511yescharacteristic
1117C2×Q8—28no—
1118C2×Q8—44no—
1119C2×Q8—44no—
1120C2×Q8—82no—
1121C2×Q8—82no—
1122C2×Q8—82no—
1123C2×Q8—82no—
1124C2×D4—28no—
1125C2×D4—28no—
1126C2×D4—44no—
1127C2×D4—44no—
1128C2×D4—44no—
1129C2×D4—44no—
1130C2×D4—44no—
1131C2×D4—44no—
1132C2×D4—44no—
1133C2×D4—44no—
1134C2×D4—44no—
1135C2×D4—44no—
1136C2×D4—44no—
1137C2×D4—44no—
1138C2×D4—44no—
1139C2×D4—44no—
1140C2×D4—44no—
1141C2×D4—44no—
1142C2×D4—44no—
1143C2×D4—44no—
1144C2×D4—44no—
1145C2×D4—44no—
1146C2×D4—44no—
1147C2×D4—44no—
1148C2×D4—44no—
1149C2×D4—44no—
1150C2×D4—44no—
1151C2×D4—44no—
1152C2×D4—44no—
1153C2×D4—44no—
1154C2×D4—44no—
1155C2×D4—44no—
1156C2×D4—44no—
1157C2×D4—44no—
1158C2×D4—44no—
1159C2×D4—44no—
1160C2×D4—44no—
1161C2×D4—44no—
1162C2×D4—44no—
1163C2×D4—44no—
1164C2×D4—44no—
1165C2×D4—44no—
1166C2×D4—44no—
1167C2×D4—44no—
1168C2×D4—44no—
1169C2×D4—44no—
1170C2×D4—44no—
1171C2×D4—44no—
1172C2×D4—82no—
1173C2×D4—82no—
1174C2×D4—82no—
1175C2×D4—82no—
1176C2×D4—82no—
1177C2×D4—82no—
1178C2×D4—82no—
1179C2×D4—82no—
1180C2×D4—82no—
1181C2×D4—82no—
1182C2×D4—82no—
1183C2×D4—82no—
1184C2×D4—82no—
1185C2×D4—82no—
1186C2×D4—82no—
1187C2×D4—82no—
1188C2×D4—82no—
1189C2×D4—82no—
1190C2×D4—82no—
1191C2×D4—82no—
1192C2×D4—82no—
1193C2×D4—82no—
1194C2×D4—82no—
1195C2×D4—82no—
1196C2×D4—82no—
1197C2×D4—82no—
1198C2×D4—82no—
1199C2×D4—82no—
1200C2×D4—82no—
1201C2×D4—82no—
1202C2×D4—82no—
1203C2×D4—82no—
1204C2×D4—82no—
1205C2×D4—82no—
1206C2×D4—82no—
1207C2×D4—82no—
1208C2×D4—82no—
1209C2×D4—82no—
1210C2×D4—82no—
1211C2×D4—82no—
1212C2×D4—82no—
1213C2×D4—82no—
1214C2×D4—82no—
1215C2×D4—82no—
1216C2×D4—82no—
1217C2×D4—82no—
1218C2×D4—82no—
1219C2×D4—82no—
1220C2×D4—82no—
1221C2×D4—82no—
1222C2×D4—82no—
1223C2×D4—82no—
1224C2×D4—82no—
1225C2×D4—82no—
1226C2×D4—82no—
1227C2×D4—82no—
1228C2×D4—82no—
1229C2×D4—82no—
1230C2×D4—82no—
1231C2×D4—82no—
1232C2×D4—82no—
1233C2×D4—82no—
1234C2×D4—82no—
1235C2×D4—82no—
1236C2×D4—82no—
1237C2×D4—82no—
1238C2×D4—82no—
1239C2×D4—82no—
1240C2×D4—82no—
1241C2×D4—82no—
1242C2×D4—82no—
1243C2×D4—82no—
1244C2×D4—82no—
1245C2×D4—82no—
1246C2×D4—82no—
1247C2×D4—82no—
1248C2×D4—82no—
1249C2×D4—82no—
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—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—21no—
1380C22×C4—21no—
1381C22×C4—21no—
1382C22×C4—21no—
1383C22×C4—21no—
1384C22×C4—21no—
1385C22×C4—21no—
1386C22×C4—21no—
1387C22×C4—21no—
1388C22×C4—21no—
1389C22×C4—21no—
1390C22×C4—21no—
1391C22×C4—21no—
1392C22×C4—21no—
1393C22×C4—21no—
1394C22×C4—21no—
1395C22×C4—21no—
1396C22×C4—21no—
1397C22×C4—21no—
1398C22×C4—21no—
1399C22×C4—21no—
1400C22×C4—21no—
1401C22×C4—44no—
1402C22×C4—44no—
1403C22×C4—44no—
1404C22×C4—44no—
1405C22×C4—44no—
1406C22×C4—44no—
1407C22×C4—44no—
1408C22×C4—44no—
1409C22×C4—44no—
1410C22×C4—44no—
1411C22×C4—44no—
1412C22×C4—44no—
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×C4—82no—
1427C22×C4—82no—
1428C22×C4—82no—
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×C4C22×D412yes—
1440C22×C4H(5,𝔽2)12yes—
1441C22×C4H(5,𝔽2)12yes—
1442C22×C4H(5,𝔽2)12yes—
1443C22×C4H(5,𝔽2)12yes—
1444C22×C4H(5,𝔽2)12yes—
1445C22×C4H(5,𝔽2)12yes—
1446C4⋊C4—28no—
1447C4⋊C4—44no—
1448C4⋊C4—44no—
1449C4⋊C4—44no—
1450C4⋊C4—44no—
1451C4⋊C4—44no—
1452C4⋊C4—44no—
1453C4⋊C4—44no—
1454C4⋊C4—44no—
1455C4⋊C4—82no—
1456C4⋊C4—82no—
1457C4⋊C4—82no—
1458C4⋊C4—82no—
1459C4⋊C4—82no—
1460C4⋊C4—82no—
1461C4⋊C4—82no—
1462C4⋊C4—82no—
1463C22⋊C4—28no—
1464C22⋊C4—28no—
1465C22⋊C4—28no—
1466C22⋊C4—28no—
1467C22⋊C4—28no—
1468C22⋊C4—44no—
1469C22⋊C4—44no—
1470C22⋊C4—44no—
1471C22⋊C4—44no—
1472C22⋊C4—44no—
1473C22⋊C4—44no—
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—82no—
1499C22⋊C4—82no—
1500C22⋊C4—82no—
1501C22⋊C4—82no—
1502C22⋊C4—82no—
1503C22⋊C4—82no—
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—82no—
1520C22⋊C4—82no—
1521C22⋊C4—82no—
1522C22⋊C4—82no—
1523C22⋊C4—82no—
1524C22⋊C4—82no—
1525C42—44no—
1526C42—44no—
1527C42—44no—
1528C42—82no—
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—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—416no—
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—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—41no—
1739C23—41no—
1740C23—41no—
1741C23—41no—
1742C23—41no—
1743C23—41no—
1744C23—41no—
1745C23—41no—
1746C23—41no—
1747C23—41no—
1748C23—41no—
1749C23—41no—
1750C23—41no—
1751C23—41no—
1752C23—41no—
1753C23—41no—
1754C23—41no—
1755C23—41no—
1756C23—41no—
1757C23—41no—
1758C23—41no—
1759C23—41no—
1760C23—41no—
1761C23—41no—
1762C23—41no—
1763C23—41no—
1764C23—41no—
1765C23—41no—
1766C23—41no—
1767C23—41no—
1768C23—41no—
1769C23—41no—
1770C23—41no—
1771C23—41no—
1772C23—41no—
1773C23—41no—
1774C23—88no—
1775C23—88no—
1776C23—88no—
1777C23—88no—
1778C23—88no—
1779C23—88no—
1780C23—88no—
1781C23—88no—
1782C23—88no—
1783C23—88no—
1784C23—88no—
1785C23—88no—
1786C23—88no—
1787C23—88no—
1788C23#53414yes—
1789C23C23×D411yescharacteristic
1790C23C23×D411yescharacteristic
1791C23C2×H(5,𝔽2)11yescharacteristic
1792C23C2×H(5,𝔽2)11yescharacteristic
1793C23C2×H(5,𝔽2)11yescharacteristic
1794C23C2×H(5,𝔽2)11yescharacteristic
1795C23C2×H(5,𝔽2)11yescharacteristic
1796C23C2×H(5,𝔽2)11yescharacteristic
1797C23C2×H(5,𝔽2)11yescharacteristic
1798C23C2×H(5,𝔽2)11yescharacteristic
1799C23C2×H(5,𝔽2)11yescharacteristic
1800C23C2×2−1+411yescharacteristic
1801C23#58511yescharacteristic
1802C23#58511yescharacteristic
1803C23#58511yescharacteristic
1804Q8—88no—
1805D4—416no—
1806D4—88no—
1807D4—88no—
1808D4—88no—
1809D4—88no—
1810D4—88no—
1811D4—88no—
1812D4—88no—
1813D4—88no—
1814D4—88no—
1815D4—88no—
1816D4—88no—
1817D4—88no—
1818D4—88no—
1819D4—88no—
1820D4—88no—
1821D4—88no—
1822D4—88no—
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—22no—
1844C2×C4—22no—
1845C2×C4—22no—
1846C2×C4—22no—
1847C2×C4—22no—
1848C2×C4—22no—
1849C2×C4—22no—
1850C2×C4—22no—
1851C2×C4—22no—
1852C2×C4—22no—
1853C2×C4—22no—
1854C2×C4—22no—
1855C2×C4—22no—
1856C2×C4—22no—
1857C2×C4—22no—
1858C2×C4—22no—
1859C2×C4—22no—
1860C2×C4—22no—
1861C2×C4—22no—
1862C2×C4—22no—
1863C2×C4—22no—
1864C2×C4—22no—
1865C2×C4—22no—
1866C2×C4—22no—
1867C2×C4—22no—
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—41no—
1969C2×C4—41no—
1970C2×C4—41no—
1971C2×C4—41no—
1972C2×C4—41no—
1973C2×C4—41no—
1974C2×C4—41no—
1975C2×C4—41no—
1976C2×C4—41no—
1977C2×C4—41no—
1978C2×C4—41no—
1979C2×C4—41no—
1980C2×C4—41no—
1981C2×C4—41no—
1982C2×C4—41no—
1983C2×C4—41no—
1984C2×C4—41no—
1985C2×C4—41no—
1986C2×C4—41no—
1987C2×C4—41no—
1988C2×C4—41no—
1989C2×C4—88no—
1990C2×C4—88no—
1991C2×C4—88no—
1992C2×C4—88no—
1993C2×C4#53514yes—
1994C2×C4D4214yes—
1995C22—24no—
1996C22—24no—
1997C22—24no—
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—832no—
2039C22—81no—
2040C22—81no—
2041C22—81no—
2042C22—81no—
2043C22—81no—
2044C22—81no—
2045C22—81no—
2046C22—81no—
2047C22—81no—
2048C22—81no—
2049C22—81no—
2050C22—81no—
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—
2067C22—81no—
2068C22—81no—
2069C22—81no—
2070C22—81no—
2071C22—81no—
2072C22—81no—
2073C22—81no—
2074C22—81no—
2075C22—81no—
2076C22—81no—
2077C22—81no—
2078C22—81no—
2079C22—81no—
2080C22—81no—
2081C22—81no—
2082C22—81no—
2083C22—81no—
2084C22—81no—
2085C22—81no—
2086C22—81no—
2087C22—81no—
2088C22—81no—
2089C22—81no—
2090C22—81no—
2091C22—81no—
2092C22—81no—
2093C22—81no—
2094C22—81no—
2095C22—81no—
2096C22—81no—
2097C22—81no—
2098C22—81no—
2099C22—81no—
2100C22—81no—
2101C22C2×#53411yescharacteristic
2102C22C2×#53511yescharacteristic
2103C22C2×D4211yescharacteristic
2104C22#348411yescharacteristic
2105C22#348811yescharacteristic
2106C22#348811yescharacteristic
2107C22#348811yescharacteristic
2108C22#348911yescharacteristic
2109C22#348911yescharacteristic
2110C22#349611yescharacteristic
2111C22#349811yescharacteristic
2112C22#349811yescharacteristic
2113C22#349811yescharacteristic
2114C22#353211yescharacteristic
2115C22#353211yescharacteristic
2116C22#353211yescharacteristic
2117C22#353411yescharacteristic
2118C22#353411yescharacteristic
2119C22#353411yescharacteristic
2120C22#353411yescharacteristic
2121C22#353611yescharacteristic
2122C22#353611yescharacteristic
2123C22#353611yescharacteristic
2124C22#353611yescharacteristic
2125C22#353711yescharacteristic
2126C22#354011yescharacteristic
2127C22#354011yescharacteristic
2128C22#354111yescharacteristic
2129C22#354211yescharacteristic
2130C22#354211yescharacteristic
2131C22#354311yescharacteristic
2132C22#354311yescharacteristic
2133C22#355811yescharacteristic
2134C22#355811yescharacteristic
2135C22#356211yescharacteristic
2136C4—24no—
2137C4—24no—
2138C4—42no—
2139C4—42no—
2140C4—42no—
2141C4—42no—
2142C4—42no—
2143C4—42no—
2144C4—42no—
2145C4—42no—
2146C4—42no—
2147C4—42no—
2148C4—42no—
2149C4—81no—
2150C4—81no—
2151C4—81no—
2152C4—81no—
2153C4—81no—
2154C4—81no—
2155C4—81no—
2156C4—81no—
2157C4—81no—
2158C4—81no—
2159C4—81no—
2160C2—44no—
2161C2—82no—
2162C2—82no—
2163C2—82no—
2164C2—82no—
2165C2—161no—
2166C2—161no—
2167C2#3727111yescharacteristic
2168C2#3767211yescharacteristic
2169C2#3936111yescharacteristic
2170C2#4059011yescharacteristic
2171C2#4193211yescharacteristic
2172C2#4195211yescharacteristic
2173C2#4542211yescharacteristic
2174C2#4768311yescharacteristic
2175C2#4795111yescharacteristic
2176C2#5065411yescharacteristic
2177C2#5065511yescharacteristic
2178C2#5398911yescharacteristic
2179C2#5640111yescharacteristic
2180C2#5717811yescharacteristic
2181C2#5730511yescharacteristic
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. C2×#2730C2semidirect
2. C2×#2676C2semidirect
3. C2×#2670C2semidirect
4. C2×#2424C2semidirect
5. #17101C2semidirect
6. #17086C2semidirect
7. #17077C2semidirect
8. #16822C2semidirect
9. #16819C2semidirect
10. #16363C2semidirect
11. #16338C2semidirect
12. #16291C2semidirect
13. #16269C2semidirect
14. #16252C2semidirect
15. #16249C2semidirect
16. #15380C2semidirect
17. #15345C2semidirect
18. #15335C2semidirect
19. #15317C2semidirect
20. #15315C2semidirect
21. #15280C2semidirect
22. #15278C2semidirect
23. #15273C2semidirect
24. #15267C2semidirect
25. #15257C2semidirect
26. #15172C2semidirect
27. #15123C2semidirect
28. #14734C2semidirect
29. #14716C2semidirect
30. #14279C2semidirect
31. #14027C2semidirect
34. C22×C22⋊Q8C22semidirect
39. C22×#121C22semidirect
52. C2×#399C22semidirect
53. C2×#399C22semidirect
54. C2×#399C22semidirect
55. C2×#397C22semidirect
57. C2×#396C22semidirect
58. C2×#396C22semidirect
67. C2×#394C22semidirect
68. C2×#394C22semidirect
69. C2×#394C22semidirect
71. C2×#393C22semidirect
86. C2×#392C22semidirect
87. C2×#392C22semidirect
88. C2×#392C22semidirect
89. C2×#391C22semidirect
90. C2×#391C22semidirect
96. C2×#390C22semidirect
97. C2×#390C22semidirect
98. C2×#390C22semidirect
102. C2×#388C22semidirect
103. C2×#387C22semidirect
104. C2×#387C22semidirect
111. C2×#386C22semidirect
112. C2×#386C22semidirect
117. C2×#380C22semidirect
120. #1444C22semidirect
121. #1444C22semidirect
122. #1444C22semidirect
123. #1443C22semidirect
124. #1442C22semidirect
125. #1442C22semidirect
126. #1442C22semidirect
127. #1442C22semidirect
128. #1442C22semidirect
129. #1441C22semidirect
130. #1441C22semidirect
134. #1440C22semidirect
135. #1440C22semidirect
136. #1440C22semidirect
137. #1440C22semidirect
138. #1440C22semidirect
152. #1439C22semidirect
153. #1439C22semidirect
154. #1439C22semidirect
155. #1439C22semidirect
156. #1439C22semidirect
157. #1439C22semidirect
158. #1439C22semidirect
159. #1439C22semidirect
160. #1439C22semidirect
175. #1438C22semidirect
176. #1438C22semidirect
177. #1438C22semidirect
178. #1438C22semidirect
180. #1437C22semidirect
181. #1436C22semidirect
182. #1436C22semidirect
183. C4⋊#95C22semidirect
184. C4⋊#95C22semidirect
187. C22⋊#95C22semidirect
188. C22⋊#95C22semidirect
189. C22⋊#95C22semidirect
190. C4×#95C22semidirect
220. C2×#124D4semidirect
392. #388D4semidirect

Maximal subgroups

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

subgroupindex
C2×#27302
C2×#26762
C2×#26702
C2×#24242
#171012
#170862
#170772
#168222
#168192
#163632
#163382
#162912
#162692
#162522
#162492
#153802
#153452
#153352
#153172
#153152
#152802
#152782
#152732
#152672
#152572
#151722
#151232
#147342
#147162
#142792
#140272