Finite Group Databasebeta

← #1091682

Subgroups — #1091682

Order 512.

4574 conjugacy classes of subgroups.

The subgroup lattice has 2210 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2669C211yesmaximal, characteristic, complemented
2C2×#2404C211yesmaximal, characteristic, complemented
3C2×#2431C211yesmaximal, characteristic, complemented
4C2×#2321C211yesmaximal, characteristic, complemented
5#16504C211yesmaximal, characteristic, complemented
6#16284C211yesmaximal, characteristic, complemented
7#16249C211yesmaximal, characteristic, complemented
8#15921C211yesmaximal, characteristic, complemented
9#15921C211yesmaximal, characteristic, complemented
10#15832C211yesmaximal, characteristic, complemented
11#15824C211yesmaximal, characteristic, complemented
12#15418C211yesmaximal, characteristic, complemented
13#15403C211yesmaximal, characteristic, complemented
14#15369C211yesmaximal, characteristic, complemented
15#15320C211yesmaximal, characteristic, complemented
16#15320C211yesmaximal, characteristic, complemented
17#15299C211yesmaximal, characteristic, complemented
18#15263C211yesmaximal, characteristic, complemented
19#15263C211yesmaximal, characteristic, complemented
20#14984C211yesmaximal, characteristic, complemented
21#14915C211yesmaximal, characteristic, complemented
22#14811C211yesmaximal, characteristic, complemented
23#14747C211yesmaximal, characteristic, complemented
24#14718C211yesmaximal, characteristic, complemented
25#14716C211yesmaximal, characteristic, complemented
26#14438C211yesmaximal, characteristic, complemented
27#14419C211yesmaximal, characteristic, complemented
28#14224C211yesmaximal, characteristic, complemented
29#14134C211yesmaximal, characteristic, complemented
30#14023C211yesmaximal, characteristic, complemented
31#13956C211yesmaximal, characteristic, complemented
32C23×#41C2211yescharacteristic
33C22×#127C2211yescharacteristic
34C22×#124C2211yescharacteristic, complemented
35C22×#121C2211yescharacteristic
36C22×#121C2211yescharacteristic
37C22×#121C2211yescharacteristic
38C22×#121C2211yescharacteristic, complemented
39C22×#120C2211yescharacteristic
40C22×#120C2211yescharacteristic
41C22×#120C2211yescharacteristic
42C22×#120C2211yescharacteristic
43C22×C4×D4C2211yescharacteristic
44C23×C22⋊C4C2211yescharacteristic
45C23×C22⋊C4C2211yescharacteristic
46#2669—28no—
47#2431—28no—
48#2404—28no—
49C2×#394C2211yescharacteristic
50C2×#394C2211yescharacteristic
51C2×#394C2211yescharacteristic
52C2×#394C2211yescharacteristic
53C2×#394C2211yescharacteristic
54C2×#394C2211yescharacteristic
55C2×#394C2211yescharacteristic, complemented
56C2×#393C2211yescharacteristic
57C2×#393C2211yescharacteristic
58C2×#392C2211yescharacteristic
59C2×#392C2211yescharacteristic
60C2×#392C2211yescharacteristic
61C2×#392C2211yescharacteristic
62C2×#392C2211yescharacteristic
63C2×#392C2211yescharacteristic
64C2×#392C2211yescharacteristic
65C2×#392C2211yescharacteristic
66C2×#392C2211yescharacteristic
67C2×#392C2211yescharacteristic
68C2×#392C2211yescharacteristic
69C2×#392C2211yescharacteristic, complemented
70C2×#392C2211yescharacteristic, complemented
71#2321—28no—
72C2×#391C2211yescharacteristic, complemented
73C2×#390C2211yescharacteristic
74C2×#390C2211yescharacteristic
75C2×#390C2211yescharacteristic, complemented
76C2×#388C2211yescharacteristic
77C2×#388C2211yescharacteristic
78C2×#388C2211yescharacteristic
79C2×#388C2211yescharacteristic
80C2×#388C2211yescharacteristic
81C2×#388C2211yescharacteristic
82C2×#388C2211yescharacteristic, complemented
83C2×#386C2211yescharacteristic
84C2×#386C2211yescharacteristic
85C2×#386C2211yescharacteristic
86C2×#386C2211yescharacteristic
87C2×#386C2211yescharacteristic
88C2×#386C2211yescharacteristic
89C2×#386C2211yescharacteristic
90C2×#386C2211yescharacteristic
91C2×#386C2211yescharacteristic
92C2×#386C2211yescharacteristic
93C2×#386C2211yescharacteristic
94C2×#386C2211yescharacteristic
95C2×#386C2211yescharacteristic
96C2×#386C2211yescharacteristic
97C2×#386C2211yescharacteristic
98C2×#386C2211yescharacteristic
99C2×#386C2211yescharacteristic
100C2×#386C2211yescharacteristic
101C2×#386C2211yescharacteristic, complemented
102C2×#386C2211yescharacteristic, complemented
103C2×#386C2211yescharacteristic, complemented
104C2×#386C2211yescharacteristic, complemented
105C2×#386C2211yescharacteristic, complemented
106C2×#386C2211yescharacteristic, complemented
107C2×#385C2211yescharacteristic
108C2×#385C2211yescharacteristic
109C2×#385C2211yescharacteristic, complemented
110C2×#381C2211yescharacteristic
111C2×#381C2211yescharacteristic, complemented
112C2×#379C2211yescharacteristic
113C2×C4×C22⋊C4C2211yescharacteristic
114C2×C4×C22⋊C4C2211yescharacteristic, complemented
115C22×#95C2211yescharacteristic, complemented
116#1446C2211yescharacteristic, complemented
117#1446C2211yescharacteristic, complemented
118#1443C2211yescharacteristic, complemented
119#1443C2211yescharacteristic, complemented
120#1443C2211yescharacteristic, complemented
121#1442C2211yescharacteristic, complemented
122#1441C2211yescharacteristic, complemented
123#1441C2211yescharacteristic, complemented
124#1441C2211yescharacteristic, complemented
125#1441C2211yescharacteristic, complemented
126#1441C2211yescharacteristic, complemented
127#1441C2211yescharacteristic, complemented
128#1441C2211yescharacteristic, complemented
129#1440C2211yescharacteristic
130#1440C2211yescharacteristic
131#1440C2211yescharacteristic
132#1440C2211yescharacteristic
133#1440C2211yescharacteristic
134#1440C2211yescharacteristic
135#1440C2211yescharacteristic, complemented
136#1440C2211yescharacteristic, complemented
137#1440C2211yescharacteristic, complemented
138#1439C2211yescharacteristic
139#1439C2211yescharacteristic
140#1439C2211yescharacteristic
141#1439C2211yescharacteristic
142#1439C2211yescharacteristic
143#1439C2211yescharacteristic, complemented
144#1439C2211yescharacteristic, complemented
145#1439C2211yescharacteristic, complemented
146#1439C2211yescharacteristic, complemented
147#1439C2211yescharacteristic, complemented
148#1439C2211yescharacteristic, complemented
149#1439C2211yescharacteristic, complemented
150#1439C2211yescharacteristic, complemented
151#1439C2211yescharacteristic, complemented
152#1439C2211yescharacteristic, complemented
153#1439C2211yescharacteristic, complemented
154#1438C2211yescharacteristic
155#1438C2211yescharacteristic
156#1438C2211yescharacteristic
157#1438C2211yescharacteristic
158#1438C2211yescharacteristic
159#1438C2211yescharacteristic
160#1438C2211yescharacteristic
161#1438C2211yescharacteristic
162#1438C2211yescharacteristic
163#1438C2211yescharacteristic
164#1438C2211yescharacteristic
165#1438C2211yescharacteristic
166#1438C2211yescharacteristic, complemented
167#1438C2211yescharacteristic, complemented
168#1438C2211yescharacteristic, complemented
169#1438C2211yescharacteristic, complemented
170#1438C2211yescharacteristic, complemented
171#1438C2211yescharacteristic, complemented
172#1437C2211yescharacteristic, complemented
173#1437C2211yescharacteristic, complemented
174#1437C2211yescharacteristic, complemented
175#1436C2211yescharacteristic, complemented
176C4⋊#95C2211yescharacteristic, complemented
177#1434C2211yescharacteristic, complemented
178#1434C2211yescharacteristic, complemented
179#1434C2211yescharacteristic, complemented
180#1434C2211yescharacteristic, complemented
181#1434C2211yescharacteristic, complemented
182C22⋊#95C2211yescharacteristic
183C22⋊#95C2211yescharacteristic
184C22⋊#95C2211yescharacteristic
185C22⋊#95C2211yescharacteristic
186C22⋊#95C2211yescharacteristic
187C22⋊#95C2211yescharacteristic
188C22⋊#95C2211yescharacteristic, complemented
189C22⋊#95C2211yescharacteristic, complemented
190C22⋊#95C2211yescharacteristic, complemented
191C26C2311yescharacteristic
192C22×#41—24no—
193C22×#41—24no—
194C22×#41—24no—
195C22×#41—42no—
196C22×#41—42no—
197C22×#41—42no—
198C22×#41—42no—
199C23×Q8C2311yescharacteristic
200C23×D4C2311yescharacteristic
201C23×D4C2311yescharacteristic
202C23×D4C2311yescharacteristic
203C23×D4C2311yescharacteristic
204C23×D4C2311yescharacteristic
205C23×D4C2311yescharacteristic
206C23×D4C2311yescharacteristic
207C23×D4C2311yescharacteristic
208C23×D4C2311yescharacteristic
209C23×D4C2311yescharacteristic
210C23×D4C2311yescharacteristic
211C23×D4C2311yescharacteristic
212C23×D4C2311yescharacteristic
213C23×D4C2311yescharacteristic
214C23×D4C2311yescharacteristic
215C23×D4C2311yescharacteristic
216C23×D4C2311yescharacteristic
217C23×D4C2311yescharacteristic
218C24×C4C2311yescharacteristic
219C24×C4C2311yescharacteristic
220C24×C4C2311yescharacteristic
221C24×C4C2311yescharacteristic
222C24×C4C2311yescharacteristic
223C24×C4C2311yescharacteristic
224C24×C4C2311yescharacteristic
225C24×C4C2311yescharacteristic
226C2×#127—24no—
227C2×#127—24no—
228C2×#127—24no—
229C2×#124—24no—
230C2×#124—42no—
231C2×#124—42no—
232C2×#121—24no—
233C2×#121—24no—
234C2×#121—24no—
235C2×#121—24no—
236C2×#121—42no—
237C2×#121—42no—
238C2×#121—42no—
239C2×#121—42no—
240C2×#121—42no—
241C2×#121—42no—
242C2×#121—42no—
243C2×#121—42no—
244C2×#120—24no—
245C2×#120—24no—
246C2×#120—24no—
247C2×#120—24no—
248C2×#120—24no—
249C2×#120—24no—
250C2×#120—42no—
251C2×#120—42no—
252C2×#120—42no—
253C2×#120—42no—
254C2×#120—42no—
255C2×#120D418yescomplemented
256C2×C4×D4—24no—
257C2×C4×D4—42no—
258C2×C4×D4—42no—
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×C22⋊C4—24no—
269C22×C22⋊C4—24no—
270C22×C22⋊C4—42no—
271C22×C22⋊C4—42no—
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×C42C2311yescharacteristic
333C22×C42C2311yescharacteristic
334C22×C42C2311yescharacteristic
335C22×C42C2311yescharacteristic
336#394—24no—
337#394—24no—
338#394—24no—
339#394—42no—
340#394—42no—
341#394—42no—
342#394—42no—
343#393—24no—
344#393—24no—
345#392—24no—
346#392—24no—
347#392—24no—
348#392—24no—
349#392—24no—
350#392—24no—
351#392—24no—
352#392—24no—
353#392—24no—
354#392—24no—
355#392—42no—
356#392—42no—
357#392—42no—
358#391—24no—
359#390—24no—
360#390—42no—
361#390D418yescomplemented
362#388—24no—
363#388—24no—
364#388—24no—
365#388—24no—
366#388—24no—
367#388—24no—
368#388—42no—
369#386—24no—
370#386—24no—
371#386—24no—
372#386—24no—
373#386—24no—
374#386—24no—
375#386—24no—
376#386—24no—
377#386—24no—
378#386—24no—
379#386—24no—
380#386—24no—
381#386—24no—
382#386—24no—
383#386—42no—
384#386—42no—
385#386—42no—
386#386—42no—
387#386—42no—
388#386—42no—
389#386—42no—
390#386—42no—
391#386—42no—
392#386—42no—
393#385—24no—
394#385—42no—
395#385—42no—
396#381—24no—
397#381—42no—
398#379—24no—
399C4×C22⋊C4—24no—
400C4×C22⋊C4—24no—
401C2×#95—42no—
402C2×#95C2311yescharacteristic
403C2×#95C2311yescharacteristic
404C2×#95C2311yescharacteristic
405C2×#95C2311yescharacteristic
406C2×#95C2311yescharacteristic
407C2×#95C2311yescharacteristic
408C2×#95C2311yescharacteristic
409C2×#95C2311yescharacteristic
410C2×#95C2311yescharacteristic
411C2×#95C2311yescharacteristic
412C2×#95C2311yescharacteristic
413C2×#95C2311yescharacteristic
414C2×#95C2311yescharacteristic
415C2×#95C2311yescharacteristic
416C2×#95C2311yescharacteristic
417C2×#95C2311yescharacteristic
418C2×#95C2311yescharacteristic
419C2×#95C2311yescharacteristic
420C2×#95C2311yescharacteristic
421C2×#95C2311yescharacteristic
422C2×#95C2311yescharacteristic
423C2×#95C2311yescharacteristic
424C2×#95C2311yescharacteristic
425C2×#95C2311yescharacteristic
426C2×#95C2311yescharacteristic
427C2×#95C2311yescharacteristic
428C2×#95C2311yescharacteristic
429C2×#95C2311yescharacteristic
430C2×#95C2311yescharacteristic
431C2×#95C2311yescharacteristic
432C2×#95C2311yescharacteristic
433C2×#95C2311yescharacteristic
434C2×#95C2311yescharacteristic
435C2×#95C2311yescharacteristic
436C2×#95C2311yescharacteristic
437C2×#95C2311yescharacteristic
438C2×#95C2311yescharacteristic
439C2×#95C2311yescharacteristic
440C2×#95C2311yescharacteristic
441C2×#95C2311yescharacteristic
442C2×#95C2311yescharacteristic
443C2×#95C2311yescharacteristic
444C2×#95C2311yescharacteristic
445C2×#95C2311yescharacteristic
446C2×#95C2311yescharacteristic
447C2×#95C2311yescharacteristic
448C2×#95C2311yescharacteristic
449C2×#95C2311yescharacteristic
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—41no—
463C25—41no—
464C25—41no—
465C25—41no—
466C25—41no—
467C25—41no—
468C25—41no—
469C25—41no—
470C25—41no—
471C25—41no—
472C25C2×D414yes—
473C25C2411yescharacteristic
474C25C2411yescharacteristic
475C25C2411yescharacteristic
476C25C2411yescharacteristic
477C25C2411yescharacteristic
478C25C2411yescharacteristic
479C25C2411yescharacteristic
480C2×#41—416no—
481C2×#41—416no—
482C2×#41—416no—
483C2×#41—416no—
484C2×#41—416no—
485C2×#41—416no—
486C2×#41—416no—
487C22×Q8—22no—
488C22×Q8—22no—
489C22×Q8—22no—
490C22×Q8—22no—
491C22×Q8—22no—
492C22×Q8—41no—
493C22×Q8—41no—
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—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—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×D4—41no—
613C22×D4—41no—
614C22×D4—41no—
615C22×D4C2×D414yes—
616C22×D4C2×D414yes—
617C22×D4C2×D414yes—
618C22×D4C2×D414yes—
619C22×D4#4114yes—
620C23×C4—22no—
621C23×C4—22no—
622C23×C4—22no—
623C23×C4—22no—
624C23×C4—22no—
625C23×C4—22no—
626C23×C4—22no—
627C23×C4—22no—
628C23×C4—22no—
629C23×C4—22no—
630C23×C4—22no—
631C23×C4—22no—
632C23×C4—22no—
633C23×C4—22no—
634C23×C4—22no—
635C23×C4—22no—
636C23×C4—22no—
637C23×C4—22no—
638C23×C4—22no—
639C23×C4—22no—
640C23×C4—22no—
641C23×C4—22no—
642C23×C4—22no—
643C23×C4—22no—
644C23×C4—22no—
645C23×C4—22no—
646C23×C4—41no—
647C23×C4—41no—
648C23×C4—41no—
649C23×C4—41no—
650C23×C4—41no—
651C23×C4—41no—
652C23×C4—41no—
653C23×C4—41no—
654C23×C4—41no—
655C23×C4—41no—
656C23×C4—41no—
657C23×C4—41no—
658C23×C4—41no—
659C23×C4—41no—
660C23×C4—41no—
661C23×C4—41no—
662C23×C4—41no—
663C23×C4—41no—
664C23×C4—41no—
665C23×C4—41no—
666C23×C4—41no—
667C23×C4—41no—
668C23×C4—41no—
669C23×C4—41no—
670C23×C4—41no—
671C23×C4—41no—
672C23×C4—41no—
673C23×C4—41no—
674C23×C4—41no—
675C23×C4—41no—
676C23×C4C2411yescharacteristic
677C23×C4C2411yescharacteristic
678C23×C4C2411yescharacteristic
679C23×C4C2411yescharacteristic
680C23×C4C2411yescharacteristic
681C23×C4C2411yescharacteristic
682C23×C4C2411yescharacteristic
683C23×C4C2411yescharacteristic
684C23×C4C2411yescharacteristic
685C23×C4C2411yescharacteristic
686C23×C4C2411yescharacteristic
687C23×C4C2411yescharacteristic
688C23×C4C2411yescharacteristic
689C23×C4C2411yescharacteristic
690C23×C4C2411yescharacteristic
691C23×C4C2411yescharacteristic
692C23×C4C2411yescharacteristic
693C23×C4C2411yescharacteristic
694C23×C4C2411yescharacteristic
695C23×C4C2411yescharacteristic
696C23×C4C2411yescharacteristic
697C23×C4C2411yescharacteristic
698C23×C4C2411yescharacteristic
699C23×C4C2411yescharacteristic
700#127—416no—
701#124—416no—
702#121—416no—
703#121—416no—
704#121—416no—
705#121—416no—
706#120—232no—
707#120—416no—
708#120—416no—
709#120—416no—
710C4×D4—416no—
711C2×C4⋊C4—22no—
712C2×C4⋊C4—22no—
713C2×C4⋊C4—22no—
714C2×C4⋊C4—22no—
715C2×C4⋊C4—22no—
716C2×C4⋊C4—22no—
717C2×C4⋊C4—22no—
718C2×C4⋊C4—22no—
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⋊C4—41no—
729C2×C4⋊C4—41no—
730C2×C4⋊C4—41no—
731C2×C4⋊C4—41no—
732C2×C4⋊C4—41no—
733C2×C4⋊C4—41no—
734C2×C4⋊C4—41no—
735C2×C4⋊C4—41no—
736C2×C4⋊C4—41no—
737C2×C4⋊C4C2×D414yes—
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—22no—
812C2×C22⋊C4—22no—
813C2×C22⋊C4—22no—
814C2×C22⋊C4—22no—
815C2×C22⋊C4—22no—
816C2×C22⋊C4—22no—
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—416no—
859C2×C22⋊C4—416no—
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⋊C4C2×D414yes—
907C2×C22⋊C4C2×D414yes—
908C2×C22⋊C4C2×D414yes—
909C2×C22⋊C4C2×D414yes—
910C2×C22⋊C4C2×D414yes—
911C2×C22⋊C4C2×D414yes—
912C2×C22⋊C4C2×D414yes—
913C2×C22⋊C4#4114yescomplemented
914C2×C42—22no—
915C2×C42—22no—
916C2×C42—22no—
917C2×C42—22no—
918C2×C42—22no—
919C2×C42—22no—
920C2×C42—41no—
921C2×C42—41no—
922C2×C42—41no—
923C2×C42—41no—
924C2×C42—41no—
925C2×C42C2×D414yes—
926#95—22no—
927#95—22no—
928#95—22no—
929#95—22no—
930#95—22no—
931#95—22no—
932#95—22no—
933#95—22no—
934#95—22no—
935#95—22no—
936#95—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—22no—
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—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—28no—
1047C24—28no—
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—21no—
1075C24—21no—
1076C24—21no—
1077C24—21no—
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—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—
1109C24—82no—
1110C24—82no—
1111C24C22×D412yes—
1112C24C22×D412yes—
1113C24C22×D412yes—
1114C24C22×D412yes—
1115C24C22×D412yes—
1116C24C22×D412yes—
1117C24C2×#4112yes—
1118C24C2×#4112yes—
1119C24C2×#4112yes—
1120C24H(5,𝔽2)12yes—
1121C24H(5,𝔽2)12yes—
1122C24C2511yescharacteristic
1123#41—4128no—
1124C2×Q8—28no—
1125C2×Q8—44no—
1126C2×Q8—44no—
1127C2×Q8—44no—
1128C2×Q8—44no—
1129C2×Q8—44no—
1130C2×Q8—44no—
1131C2×D4—28no—
1132C2×D4—28no—
1133C2×D4—28no—
1134C2×D4—28no—
1135C2×D4—28no—
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—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—44no—
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—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—
1250C2×D4—82no—
1251C2×D4—82no—
1252C2×D4—82no—
1253C2×D4—82no—
1254C2×D4—82no—
1255C2×D4—82no—
1256C2×D4#121116yescomplemented
1257C22×C4—21no—
1258C22×C4—21no—
1259C22×C4—21no—
1260C22×C4—21no—
1261C22×C4—28no—
1262C22×C4—28no—
1263C22×C4—28no—
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—28no—
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—21no—
1402C22×C4—21no—
1403C22×C4—21no—
1404C22×C4—21no—
1405C22×C4—21no—
1406C22×C4—21no—
1407C22×C4—21no—
1408C22×C4—21no—
1409C22×C4—21no—
1410C22×C4—21no—
1411C22×C4—21no—
1412C22×C4—44no—
1413C22×C4—44no—
1414C22×C4—44no—
1415C22×C4—44no—
1416C22×C4—44no—
1417C22×C4—44no—
1418C22×C4—44no—
1419C22×C4—44no—
1420C22×C4—44no—
1421C22×C4—44no—
1422C22×C4—44no—
1423C22×C4—44no—
1424C22×C4—44no—
1425C22×C4—44no—
1426C22×C4—44no—
1427C22×C4—44no—
1428C22×C4—44no—
1429C22×C4—44no—
1430C22×C4—44no—
1431C22×C4—44no—
1432C22×C4—44no—
1433C22×C4—44no—
1434C22×C4—44no—
1435C22×C4—44no—
1436C22×C4—44no—
1437C22×C4—44no—
1438C22×C4—82no—
1439C22×C4—82no—
1440C22×C4—82no—
1441C22×C4—82no—
1442C22×C4—82no—
1443C22×C4—82no—
1444C22×C4—82no—
1445C22×C4—82no—
1446C22×C4—82no—
1447C22×C4—82no—
1448C22×C4—82no—
1449C22×C4—82no—
1450C22×C4—82no—
1451C22×C4—82no—
1452C22×C4—82no—
1453C22×C4—82no—
1454C22×C4—82no—
1455C22×C4—82no—
1456C22×C4—82no—
1457C22×C4—82no—
1458C22×C4—82no—
1459C22×C4—82no—
1460C22×C4—82no—
1461C22×C4—82no—
1462C22×C4—82no—
1463C22×C4—82no—
1464C22×C4C22×D412yes—
1465C22×C4C22×D412yes—
1466C22×C4C22×D412yes—
1467C22×C4C22×D412yes—
1468C22×C4C22×D412yes—
1469C22×C4C22×D412yes—
1470C22×C4C22×D412yes—
1471C22×C4C22×D412yes—
1472C22×C4C2×#4112yes—
1473C22×C4C2×#4112yes—
1474C22×C4C2×#4112yes—
1475C22×C4H(5,𝔽2)12yes—
1476C22×C4H(5,𝔽2)12yes—
1477C22×C4H(5,𝔽2)12yes—
1478C22×C4H(5,𝔽2)12yes—
1479C22×C4H(5,𝔽2)12yes—
1480C22×C4H(5,𝔽2)12yes—
1481C4⋊C4—44no—
1482C4⋊C4—44no—
1483C4⋊C4—44no—
1484C4⋊C4—44no—
1485C4⋊C4—44no—
1486C4⋊C4—82no—
1487C4⋊C4—82no—
1488C4⋊C4—82no—
1489C4⋊C4—82no—
1490C22⋊C4—28no—
1491C22⋊C4—28no—
1492C22⋊C4—28no—
1493C22⋊C4—28no—
1494C22⋊C4—28no—
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—44no—
1505C22⋊C4—44no—
1506C22⋊C4—44no—
1507C22⋊C4—44no—
1508C22⋊C4—44no—
1509C22⋊C4—44no—
1510C22⋊C4—44no—
1511C22⋊C4—44no—
1512C22⋊C4—44no—
1513C22⋊C4—44no—
1514C22⋊C4—44no—
1515C22⋊C4—44no—
1516C22⋊C4—44no—
1517C22⋊C4—44no—
1518C22⋊C4—44no—
1519C22⋊C4—44no—
1520C22⋊C4—44no—
1521C22⋊C4—44no—
1522C22⋊C4—44no—
1523C22⋊C4—44no—
1524C22⋊C4—44no—
1525C22⋊C4—44no—
1526C22⋊C4—44no—
1527C22⋊C4—44no—
1528C22⋊C4—82no—
1529C22⋊C4—82no—
1530C22⋊C4—82no—
1531C22⋊C4—82no—
1532C22⋊C4—82no—
1533C22⋊C4—82no—
1534C22⋊C4—82no—
1535C22⋊C4—82no—
1536C22⋊C4—82no—
1537C22⋊C4—82no—
1538C22⋊C4—82no—
1539C22⋊C4—82no—
1540C22⋊C4—82no—
1541C22⋊C4—82no—
1542C22⋊C4—82no—
1543C22⋊C4—82no—
1544C22⋊C4—82no—
1545C22⋊C4—82no—
1546C22⋊C4—82no—
1547C22⋊C4—82no—
1548C42—44no—
1549C42—44no—
1550C42—44no—
1551C42—82no—
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—22no—
1614C23—22no—
1615C23—22no—
1616C23—22no—
1617C23—22no—
1618C23—22no—
1619C23—22no—
1620C23—416no—
1621C23—416no—
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—41no—
1775C23—41no—
1776C23—41no—
1777C23—41no—
1778C23—41no—
1779C23—41no—
1780C23—41no—
1781C23—41no—
1782C23—41no—
1783C23—41no—
1784C23—41no—
1785C23—41no—
1786C23—41no—
1787C23—41no—
1788C23—41no—
1789C23—41no—
1790C23—41no—
1791C23—41no—
1792C23—41no—
1793C23—41no—
1794C23—41no—
1795C23—41no—
1796C23—88no—
1797C23—88no—
1798C23—88no—
1799C23—88no—
1800C23—88no—
1801C23—88no—
1802C23—88no—
1803C23—88no—
1804C23—88no—
1805C23—88no—
1806C23—88no—
1807C23—88no—
1808C23—88no—
1809C23C2×#12114yes—
1810C23C2×#12114yes—
1811C23#54614yes—
1812C23C23×D411yescharacteristic
1813C23C23×D411yescharacteristic
1814C23C22×#4111yescharacteristic
1815C23C22×#4111yescharacteristic
1816C23C2×H(5,𝔽2)11yescharacteristic
1817C23C2×H(5,𝔽2)11yescharacteristic
1818C23C2×H(5,𝔽2)11yescharacteristic
1819C23C2×H(5,𝔽2)11yescharacteristic
1820C23C2×H(5,𝔽2)11yescharacteristic
1821C23C2×H(5,𝔽2)11yescharacteristic
1822C23C2×H(5,𝔽2)11yescharacteristic
1823C23C2×H(5,𝔽2)11yescharacteristic
1824C23#58511yescharacteristic
1825C23#58511yescharacteristic
1826C23#58511yescharacteristic
1827Q8—416no—
1828D4—416no—
1829D4—416no—
1830D4—416no—
1831D4—416no—
1832D4—88no—
1833D4—88no—
1834D4—88no—
1835D4—88no—
1836D4—88no—
1837D4—88no—
1838D4—88no—
1839D4—88no—
1840D4—88no—
1841D4—88no—
1842D4—88no—
1843D4—88no—
1844D4—88no—
1845D4—88no—
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—22no—
1869C2×C4—22no—
1870C2×C4—22no—
1871C2×C4—22no—
1872C2×C4—22no—
1873C2×C4—22no—
1874C2×C4—22no—
1875C2×C4—22no—
1876C2×C4—22no—
1877C2×C4—22no—
1878C2×C4—22no—
1879C2×C4—22no—
1880C2×C4—22no—
1881C2×C4—22no—
1882C2×C4—22no—
1883C2×C4—22no—
1884C2×C4—22no—
1885C2×C4—22no—
1886C2×C4—22no—
1887C2×C4—22no—
1888C2×C4—22no—
1889C2×C4—22no—
1890C2×C4—22no—
1891C2×C4—22no—
1892C2×C4—22no—
1893C2×C4—22no—
1894C2×C4—416no—
1895C2×C4—416no—
1896C2×C4—416no—
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—41no—
1990C2×C4—41no—
1991C2×C4—41no—
1992C2×C4—41no—
1993C2×C4—41no—
1994C2×C4—41no—
1995C2×C4—41no—
1996C2×C4—41no—
1997C2×C4—41no—
1998C2×C4—41no—
1999C2×C4—41no—
2000C2×C4—41no—
2001C2×C4—41no—
2002C2×C4—41no—
2003C2×C4—41no—
2004C2×C4—41no—
2005C2×C4—41no—
2006C2×C4—41no—
2007C2×C4—41no—
2008C2×C4—41no—
2009C2×C4—41no—
2010C2×C4—41no—
2011C2×C4—41no—
2012C2×C4—41no—
2013C2×C4—41no—
2014C2×C4—41no—
2015C2×C4—41no—
2016C2×C4—88no—
2017C2×C4—88no—
2018C2×C4—88no—
2019C2×C4—88no—
2020C2×C4—88no—
2021C2×C4C2×#12114yes—
2022C22—24no—
2023C22—24no—
2024C22—24no—
2025C22—24no—
2026C22—24no—
2027C22—24no—
2028C22—24no—
2029C22—24no—
2030C22—24no—
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—42no—
2050C22—42no—
2051C22—42no—
2052C22—42no—
2053C22—42no—
2054C22—42no—
2055C22—42no—
2056C22—42no—
2057C22—42no—
2058C22—42no—
2059C22—42no—
2060C22—42no—
2061C22—42no—
2062C22—42no—
2063C22—42no—
2064C22—42no—
2065C22—42no—
2066C22—42no—
2067C22—42no—
2068C22—42no—
2069C22—42no—
2070C22—42no—
2071C22—42no—
2072C22—42no—
2073C22—42no—
2074C22—42no—
2075C22—42no—
2076C22—42no—
2077C22—42no—
2078C22—42no—
2079C22—42no—
2080C22—42no—
2081C22—832no—
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—
2101C22—81no—
2102C22—81no—
2103C22—81no—
2104C22—81no—
2105C22—81no—
2106C22—81no—
2107C22—81no—
2108C22—81no—
2109C22—81no—
2110C22—81no—
2111C22—81no—
2112C22—81no—
2113C22—81no—
2114C22—81no—
2115C22—81no—
2116C22—81no—
2117C22—81no—
2118C22—81no—
2119C22—81no—
2120C22—81no—
2121C22—81no—
2122C22—81no—
2123C22—81no—
2124C22—81no—
2125C22—81no—
2126C22—81no—
2127C22—81no—
2128C22C22×#12111yescharacteristic
2129C22#346011yescharacteristic
2130C22C2×#54611yescharacteristic
2131C22D4×#4111yescharacteristic
2132C22#348111yescharacteristic
2133C22#348411yescharacteristic
2134C22#348411yescharacteristic
2135C22#348411yescharacteristic
2136C22#348411yescharacteristic
2137C22#348411yescharacteristic
2138C22#348411yescharacteristic
2139C22#348511yescharacteristic
2140C22#348811yescharacteristic
2141C22#349011yescharacteristic
2142C22#349011yescharacteristic
2143C22#349611yescharacteristic
2144C22#349611yescharacteristic
2145C22#350611yescharacteristic
2146C22#351311yescharacteristic
2147C22#351311yescharacteristic
2148C22#351411yescharacteristic
2149C22#351911yescharacteristic
2150C22#351911yescharacteristic
2151C22#353211yescharacteristic
2152C22#354211yescharacteristic
2153C22#354211yescharacteristic
2154C22#354211yescharacteristic
2155C22#354211yescharacteristic
2156C22#354311yescharacteristic
2157C22#354311yescharacteristic
2158C22#354611yescharacteristic
2159C22#354611yescharacteristic
2160C22#354911yescharacteristic
2161C22#356011yescharacteristic
2162C22#356211yescharacteristic
2163C4—24no—
2164C4—42no—
2165C4—42no—
2166C4—42no—
2167C4—42no—
2168C4—42no—
2169C4—42no—
2170C4—42no—
2171C4—42no—
2172C4—42no—
2173C4—42no—
2174C4—42no—
2175C4—42no—
2176C4—42no—
2177C4—42no—
2178C4—81no—
2179C4—81no—
2180C4—81no—
2181C4—81no—
2182C4—81no—
2183C4—81no—
2184C4—81no—
2185C4—81no—
2186C4—81no—
2187C2—44no—
2188C2—44no—
2189C2—44no—
2190C2—82no—
2191C2—82no—
2192C2—161no—
2193C2—161no—
2194C2#3534811yescharacteristic
2195C2#3576111yescharacteristic
2196C2#3621411yescharacteristic
2197C2#3777711yescharacteristic
2198C2#3780811yescharacteristic
2199C2#3883811yescharacteristic
2200C2#4301211yescharacteristic
2201C2#4309511yescharacteristic
2202C2#4342011yescharacteristic
2203C2#4641411yescharacteristic
2204C2#4660011yescharacteristic
2205C2#4779411yescharacteristic
2206C2#4783111yescharacteristic
2207C2#4793011yescharacteristic
2208C2#4855011yescharacteristic
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×#2669C2semidirect
2. C2×#2404C2semidirect
3. C2×#2431C2semidirect
4. C2×#2321C2semidirect
5. #16504C2semidirect
6. #16284C2semidirect
7. #16249C2semidirect
8. #15921C2semidirect
9. #15921C2semidirect
10. #15832C2semidirect
11. #15824C2semidirect
12. #15418C2semidirect
13. #15403C2semidirect
14. #15369C2semidirect
15. #15320C2semidirect
16. #15320C2semidirect
17. #15299C2semidirect
18. #15263C2semidirect
19. #15263C2semidirect
20. #14984C2semidirect
21. #14915C2semidirect
22. #14811C2semidirect
23. #14747C2semidirect
24. #14718C2semidirect
25. #14716C2semidirect
26. #14438C2semidirect
27. #14419C2semidirect
28. #14224C2semidirect
29. #14134C2semidirect
30. #14023C2semidirect
31. #13956C2semidirect
34. C22×#124C22semidirect
38. C22×#121C22semidirect
55. C2×#394C22semidirect
69. C2×#392C22semidirect
70. C2×#392C22semidirect
72. C2×#391C22semidirect
75. C2×#390C22semidirect
82. C2×#388C22semidirect
101. C2×#386C22semidirect
102. C2×#386C22semidirect
103. C2×#386C22semidirect
104. C2×#386C22semidirect
105. C2×#386C22semidirect
106. C2×#386C22semidirect
109. C2×#385C22semidirect
111. C2×#381C22semidirect
114. C2×C4×C22⋊C4C22semidirect
115. C22×#95C22semidirect
116. #1446C22semidirect
117. #1446C22semidirect
118. #1443C22semidirect
119. #1443C22semidirect
120. #1443C22semidirect
121. #1442C22semidirect
122. #1441C22semidirect
123. #1441C22semidirect
124. #1441C22semidirect
125. #1441C22semidirect
126. #1441C22semidirect
127. #1441C22semidirect
128. #1441C22semidirect
135. #1440C22semidirect
136. #1440C22semidirect
137. #1440C22semidirect
143. #1439C22semidirect
144. #1439C22semidirect
145. #1439C22semidirect
146. #1439C22semidirect
147. #1439C22semidirect
148. #1439C22semidirect
149. #1439C22semidirect
150. #1439C22semidirect
151. #1439C22semidirect
152. #1439C22semidirect
153. #1439C22semidirect
166. #1438C22semidirect
167. #1438C22semidirect
168. #1438C22semidirect
169. #1438C22semidirect
170. #1438C22semidirect
171. #1438C22semidirect
172. #1437C22semidirect
173. #1437C22semidirect
174. #1437C22semidirect
175. #1436C22semidirect
176. C4⋊#95C22semidirect
177. #1434C22semidirect
178. #1434C22semidirect
179. #1434C22semidirect
180. #1434C22semidirect
181. #1434C22semidirect
188. C22⋊#95C22semidirect
189. C22⋊#95C22semidirect
190. C22⋊#95C22semidirect
255. C2×#120D4semidirect
361. #390D4semidirect
913. C2×C22⋊C4#41semidirect
1256. C2×D4#121semidirect

Maximal subgroups

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

subgroupindex
C2×#26692
C2×#24042
C2×#24312
C2×#23212
#165042
#162842
#162492
#159212
#158322
#158242
#154182
#154032
#153692
#153202
#152992
#152632
#149842
#149152
#148112
#147472
#147182
#147162
#144382
#144192
#142242
#141342
#140232
#139562