Finite Group Databasebeta

← #2815160

Subgroups — #2815160

Order 512.

4008 conjugacy classes of subgroups.

The subgroup lattice has 2042 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2722C211yesmaximal, characteristic, complemented
2C2×#2685C211yesmaximal, characteristic, complemented
3C2×#2685C211yesmaximal, characteristic, complemented
4C2×#2408C211yesmaximal, characteristic
5#16811C211yesmaximal, characteristic, complemented
6#16555C211yesmaximal, characteristic, complemented
7#16501C211yesmaximal, characteristic, complemented
8#16372C211yesmaximal, characteristic, complemented
9#16255C211yesmaximal, characteristic, complemented
10#16255C211yesmaximal, characteristic, complemented
11#15986C211yesmaximal, characteristic, complemented
12#15986C211yesmaximal, characteristic, complemented
13#15661C211yesmaximal, characteristic, complemented
14#15661C211yesmaximal, characteristic, complemented
15#15640C211yesmaximal, characteristic, complemented
16#15617C211yesmaximal, characteristic, complemented
17#15615C211yesmaximal, characteristic, complemented
18#15456C211yesmaximal, characteristic, complemented
19#15319C211yesmaximal, characteristic, complemented
20#15316C211yesmaximal, characteristic, complemented
21#15297C211yesmaximal, characteristic, complemented
22#15282C211yesmaximal, characteristic, complemented
23#15007C211yesmaximal, characteristic, complemented
24#14999C211yesmaximal, characteristic, complemented
25#14824C211yesmaximal, characteristic, complemented
26#14724C211yesmaximal, characteristic, complemented
27#14563C211yesmaximal, characteristic, complemented
28#14418C211yesmaximal, characteristic, complemented
29#14185C211yesmaximal, characteristic, complemented
30#14108C211yesmaximal, characteristic, complemented
31#13902C211yesmaximal, characteristic, complemented
32C24×D4C2211yescharacteristic
33C22×#126C2211yescharacteristic
34C22×#126C2211yescharacteristic
35C22×#121C2211yescharacteristic
36C22×#121C2211yescharacteristic
37C22×#120C2211yescharacteristic
38C22×#120C2211yescharacteristic
39C22×C4×D4C2211yescharacteristic
40#2722—28no—
41#2685—28no—
42#2685—28no—
43#2408—28no—
44C2×#399C2211yescharacteristic, complemented
45C2×#399C2211yescharacteristic, complemented
46C2×#398C2211yescharacteristic, complemented
47C2×#398C2211yescharacteristic, complemented
48C2×#398C2211yescharacteristic, complemented
49C2×#398C2211yescharacteristic, complemented
50C2×#398C2211yescharacteristic, complemented
51C2×#397C2211yescharacteristic
52C2×#397C2211yescharacteristic
53C2×#397C2211yescharacteristic, complemented
54C2×#396C2211yescharacteristic, complemented
55C2×#396C2211yescharacteristic, complemented
56C2×#396C2211yescharacteristic, complemented
57C2×#394C2211yescharacteristic
58C2×#394C2211yescharacteristic
59C2×#394C2211yescharacteristic
60C2×#394C2211yescharacteristic
61C2×#394C2211yescharacteristic
62C2×#394C2211yescharacteristic
63C2×#394C2211yescharacteristic
64C2×#394C2211yescharacteristic
65C2×#394C2211yescharacteristic
66C2×#394C2211yescharacteristic, complemented
67C2×#394C2211yescharacteristic, complemented
68C2×#394C2211yescharacteristic, complemented
69C2×#394C2211yescharacteristic, complemented
70C2×#394C2211yescharacteristic, complemented
71C2×#394C2211yescharacteristic, complemented
72C2×#392C2211yescharacteristic
73C2×#392C2211yescharacteristic
74C2×#390C2211yescharacteristic
75C2×#390C2211yescharacteristic
76C2×#390C2211yescharacteristic
77C2×#390C2211yescharacteristic
78C2×#390C2211yescharacteristic
79C2×#390C2211yescharacteristic
80C2×#390C2211yescharacteristic, complemented
81C2×#390C2211yescharacteristic, complemented
82C2×#390C2211yescharacteristic, complemented
83C2×#390C2211yescharacteristic, complemented
84C2×#389C2211yescharacteristic, complemented
85C2×#389C2211yescharacteristic, complemented
86C2×#389C2211yescharacteristic, complemented
87C2×#388C2211yescharacteristic
88C2×#388C2211yescharacteristic
89C2×#388C2211yescharacteristic, complemented
90C2×#388C2211yescharacteristic, complemented
91C2×#388C2211yescharacteristic, complemented
92C2×#388C2211yescharacteristic, complemented
93C2×#388C2211yescharacteristic, complemented
94C2×#388C2211yescharacteristic, complemented
95C2×#387C2211yescharacteristic, complemented
96C2×#387C2211yescharacteristic, complemented
97C2×#387C2211yescharacteristic, complemented
98C2×#385C2211yescharacteristic
99C2×#385C2211yescharacteristic, complemented
100C2×#380C2211yescharacteristic
101C2×#380C2211yescharacteristic
102C2×#379C2211yescharacteristic
103C2×#379C2211yescharacteristic
104C2×#379C2211yescharacteristic
105C2×#379C2211yescharacteristic
106C2×#379C2211yescharacteristic
107C2×#379C2211yescharacteristic
108C2×#379C2211yescharacteristic
109C2×#379C2211yescharacteristic
110C2×#379C2211yescharacteristic
111C2×#379C2211yescharacteristic
112C2×C4×C22⋊C4C2211yescharacteristic
113#1445C2211yescharacteristic, complemented
114#1441C2211yescharacteristic, complemented
115#1441C2211yescharacteristic, complemented
116#1440C2211yescharacteristic
117#1440C2211yescharacteristic
118#1440C2211yescharacteristic
119#1440C2211yescharacteristic
120#1440C2211yescharacteristic
121#1440C2211yescharacteristic, complemented
122#1440C2211yescharacteristic, complemented
123#1440C2211yescharacteristic, complemented
124#1440C2211yescharacteristic, complemented
125#1440C2211yescharacteristic, complemented
126#1439C2211yescharacteristic
127#1439C2211yescharacteristic, complemented
128#1439C2211yescharacteristic, complemented
129#1439C2211yescharacteristic, complemented
130#1439C2211yescharacteristic, complemented
131#1439C2211yescharacteristic, complemented
132#1439C2211yescharacteristic, complemented
133#1439C2211yescharacteristic, complemented
134#1439C2211yescharacteristic, complemented
135#1439C2211yescharacteristic, complemented
136#1439C2211yescharacteristic, complemented
137#1439C2211yescharacteristic, complemented
138#1439C2211yescharacteristic, complemented
139#1439C2211yescharacteristic, complemented
140#1439C2211yescharacteristic, complemented
141#1439C2211yescharacteristic, complemented
142#1439C2211yescharacteristic, complemented
143#1439C2211yescharacteristic, complemented
144#1439C2211yescharacteristic, complemented
145#1439C2211yescharacteristic, complemented
146#1439C2211yescharacteristic, complemented
147#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, complemented
164#1438C2211yescharacteristic, complemented
165#1438C2211yescharacteristic, complemented
166#1438C2211yescharacteristic, complemented
167#1438C2211yescharacteristic, complemented
168#1438C2211yescharacteristic, complemented
169#1437C2211yescharacteristic, complemented
170#1437C2211yescharacteristic, complemented
171#1437C2211yescharacteristic, complemented
172#1437C2211yescharacteristic, complemented
173#1437C2211yescharacteristic, complemented
174#1437C2211yescharacteristic, complemented
175#1437C2211yescharacteristic, complemented
176#1437C2211yescharacteristic, complemented
177#1436C2211yescharacteristic, complemented
178#1436C2211yescharacteristic, complemented
179#1436C2211yescharacteristic, complemented
180#1436C2211yescharacteristic, complemented
181#1436C2211yescharacteristic, complemented
182#1436C2211yescharacteristic, complemented
183#1436C2211yescharacteristic, complemented
184#1436C2211yescharacteristic, complemented
185#1434C2211yescharacteristic, complemented
186C22⋊#95C2211yescharacteristic
187C22⋊#95C2211yescharacteristic, complemented
188C22⋊#95C2211yescharacteristic, complemented
189C22⋊#95C2211yescharacteristic, complemented
190C4×#95C2211yescharacteristic, complemented
191C26C2311yescharacteristic
192C26C2311yescharacteristic
193C23×D4—24no—
194C23×D4—24no—
195C23×D4—42no—
196C23×D4—42no—
197C23×D4—42no—
198C23×D4—42no—
199C23×D4—42no—
200C23×D4C2311yescharacteristic
201C23×D4C2311yescharacteristic
202C23×D4C2311yescharacteristic
203C23×D4C2311yescharacteristic
204C23×D4C2311yescharacteristic
205C23×D4C2311yescharacteristic
206C23×D4C2311yescharacteristic
207C23×D4C2311yescharacteristic
208C23×D4C2311yescharacteristic
209C24×C4C2311yescharacteristic
210C24×C4C2311yescharacteristic
211C2×#126—24no—
212C2×#126—24no—
213C2×#126—24no—
214C2×#126—24no—
215C2×#126—42no—
216C2×#126—42no—
217C2×#121—24no—
218C2×#121—24no—
219C2×#121—24no—
220C2×#121—42no—
221C2×#121—42no—
222C2×#121—42no—
223C2×#120—24no—
224C2×#120—24no—
225C2×#120—24no—
226C2×#120—24no—
227C2×#120—42no—
228C2×#120—42no—
229C2×C4×D4—24no—
230C2×C4×D4—42no—
231C2×C4×D4—42no—
232C22×C4⋊C4C2311yescharacteristic
233C22×C4⋊C4C2311yescharacteristic
234C22×C4⋊C4C2311yescharacteristic
235C22×C4⋊C4C2311yescharacteristic
236C22×C4⋊C4C2311yescharacteristic
237C22×C4⋊C4C2311yescharacteristic
238C22×C4⋊C4C2311yescharacteristic
239C22×C4⋊C4C2311yescharacteristic
240C22×C4⋊C4C2311yescharacteristic
241C22×C4⋊C4C2311yescharacteristic
242C22×C4⋊C4C2311yescharacteristic
243C22×C4⋊C4C2311yescharacteristic
244C22×C4⋊C4C2311yescharacteristic
245C22×C4⋊C4C2311yescharacteristic
246C22×C4⋊C4C2311yescharacteristic
247C22×C4⋊C4C2311yescharacteristic
248C22×C4⋊C4C2311yescharacteristic
249C22×C4⋊C4C2311yescharacteristic
250C22×C4⋊C4C2311yescharacteristic
251C22×C4⋊C4C2311yescharacteristic
252C22×C4⋊C4C2311yescharacteristic
253C22×C22⋊C4C2311yescharacteristic
254C22×C22⋊C4C2311yescharacteristic
255C22×C22⋊C4C2311yescharacteristic
256C22×C22⋊C4C2311yescharacteristic
257C22×C22⋊C4C2311yescharacteristic
258C22×C22⋊C4C2311yescharacteristic
259C22×C22⋊C4C2311yescharacteristic
260C22×C22⋊C4C2311yescharacteristic
261C22×C22⋊C4C2311yescharacteristic
262C22×C22⋊C4C2311yescharacteristic
263C22×C22⋊C4C2311yescharacteristic
264C22×C22⋊C4C2311yescharacteristic
265C22×C22⋊C4C2311yescharacteristic
266C22×C22⋊C4C2311yescharacteristic
267C22×C22⋊C4C2311yescharacteristic
268C22×C22⋊C4C2311yescharacteristic
269C22×C22⋊C4C2311yescharacteristic
270C22×C22⋊C4C2311yescharacteristic
271C22×C22⋊C4C2311yescharacteristic
272C22×C22⋊C4C2311yescharacteristic
273C22×C22⋊C4C2311yescharacteristic
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×C42C2311yescharacteristic
318C22×C42C2311yescharacteristic
319C22×C42C2311yescharacteristic
320C22×C42C2311yescharacteristic
321C22×C42C2311yescharacteristic
322C22×C42C2311yescharacteristic
323C22×C42C2311yescharacteristic
324#399—24no—
325#399—24no—
326#398—24no—
327#398—24no—
328#398—24no—
329#398—24no—
330#398—42no—
331#397—24no—
332#397—24no—
333#397—42no—
334#396—24no—
335#396—24no—
336#396—42no—
337#394—24no—
338#394—24no—
339#394—24no—
340#394—24no—
341#394—24no—
342#394—24no—
343#394—24no—
344#394—24no—
345#394—24no—
346#394—42no—
347#394—42no—
348#394—42no—
349#394—42no—
350#394—42no—
351#394D418yescomplemented
352#392—24no—
353#392—24no—
354#390—24no—
355#390—24no—
356#390—24no—
357#390—24no—
358#390—24no—
359#390—24no—
360#390—42no—
361#390—42no—
362#390—42no—
363#390—42no—
364#389—24no—
365#389—24no—
366#389—42no—
367#388—24no—
368#388—24no—
369#388—24no—
370#388—24no—
371#388—24no—
372#388—24no—
373#388—42no—
374#388—42no—
375#387—24no—
376#387—24no—
377#387—42no—
378#385—24no—
379#385—42no—
380#380—24no—
381#380D418yes—
382#379—24no—
383#379—24no—
384#379—24no—
385#379—24no—
386#379—24no—
387#379—24no—
388#379—42no—
389#379—42no—
390#379—42no—
391#379—42no—
392C4×C22⋊C4—42no—
393C2×#95C2311yescharacteristic
394C2×#95C2311yescharacteristic
395C2×#95C2311yescharacteristic
396C2×#95C2311yescharacteristic
397C2×#95C2311yescharacteristic
398C2×#95C2311yescharacteristic
399C2×#95C2311yescharacteristic
400C2×#95C2311yescharacteristic
401C2×#95C2311yescharacteristic
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
443C25—22no—
444C25—22no—
445C25—22no—
446C25—22no—
447C25—22no—
448C25—22no—
449C25—22no—
450C25—22no—
451C25—22no—
452C25—22no—
453C25—41no—
454C25—41no—
455C25—41no—
456C25—41no—
457C25—41no—
458C25—41no—
459C25—41no—
460C25—41no—
461C25—41no—
462C25—41no—
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
479C22×D4—22no—
480C22×D4—22no—
481C22×D4—22no—
482C22×D4—22no—
483C22×D4—22no—
484C22×D4—22no—
485C22×D4—22no—
486C22×D4—22no—
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—416no—
511C22×D4—41no—
512C22×D4—41no—
513C22×D4—41no—
514C22×D4—41no—
515C22×D4—41no—
516C22×D4—41no—
517C22×D4—41no—
518C22×D4—41no—
519C22×D4—41no—
520C22×D4—41no—
521C22×D4—41no—
522C22×D4—41no—
523C22×D4—41no—
524C22×D4—41no—
525C22×D4—416no—
526C22×D4—41no—
527C22×D4—41no—
528C22×D4—41no—
529C22×D4—41no—
530C22×D4—41no—
531C22×D4—41no—
532C22×D4—41no—
533C22×D4—41no—
534C22×D4—41no—
535C22×D4—41no—
536C22×D4—41no—
537C22×D4—41no—
538C22×D4—41no—
539C22×D4—41no—
540C22×D4—41no—
541C22×D4—41no—
542C22×D4—416no—
543C22×D4—416no—
544C22×D4—416no—
545C22×D4—416no—
546C22×D4—416no—
547C22×D4C2×D414yes—
548C22×D4#4114yes—
549C23×C4—22no—
550C23×C4—22no—
551C23×C4—22no—
552C23×C4—22no—
553C23×C4—22no—
554C23×C4—22no—
555C23×C4—22no—
556C23×C4—41no—
557C23×C4—41no—
558C23×C4—41no—
559C23×C4—41no—
560C23×C4—41no—
561C23×C4—41no—
562C23×C4C2×D414yes—
563C23×C4C2411yescharacteristic
564C23×C4C2411yescharacteristic
565C23×C4C2411yescharacteristic
566C23×C4C2411yescharacteristic
567C23×C4C2411yescharacteristic
568C23×C4C2411yescharacteristic
569C23×C4C2411yescharacteristic
570C23×C4C2411yescharacteristic
571C23×C4C2411yescharacteristic
572C23×C4C2411yescharacteristic
573C23×C4C2411yescharacteristic
574C23×C4C2411yescharacteristic
575C23×C4C2411yescharacteristic
576C23×C4C2411yescharacteristic
577C23×C4C2411yescharacteristic
578C23×C4C2411yescharacteristic
579C23×C4C2411yescharacteristic
580C23×C4C2411yescharacteristic
581C23×C4C2411yescharacteristic
582C23×C4C2411yescharacteristic
583C23×C4C2411yescharacteristic
584C23×C4C2411yescharacteristic
585C23×C4C2411yescharacteristic
586C23×C4C2411yescharacteristic
587C23×C4C2411yescharacteristic
588#126—416no—
589#126—416no—
590#121—416no—
591#121—416no—
592#120—416no—
593#120—416no—
594C4×D4—416no—
595C2×C4⋊C4—22no—
596C2×C4⋊C4—22no—
597C2×C4⋊C4—22no—
598C2×C4⋊C4—22no—
599C2×C4⋊C4—22no—
600C2×C4⋊C4—22no—
601C2×C4⋊C4—22no—
602C2×C4⋊C4—22no—
603C2×C4⋊C4—22no—
604C2×C4⋊C4—22no—
605C2×C4⋊C4—22no—
606C2×C4⋊C4—22no—
607C2×C4⋊C4—22no—
608C2×C4⋊C4—22no—
609C2×C4⋊C4—22no—
610C2×C4⋊C4—22no—
611C2×C4⋊C4—22no—
612C2×C4⋊C4—22no—
613C2×C4⋊C4—22no—
614C2×C4⋊C4—22no—
615C2×C4⋊C4—22no—
616C2×C4⋊C4—22no—
617C2×C4⋊C4—22no—
618C2×C4⋊C4—22no—
619C2×C4⋊C4—22no—
620C2×C4⋊C4—22no—
621C2×C4⋊C4—22no—
622C2×C4⋊C4—22no—
623C2×C4⋊C4—22no—
624C2×C4⋊C4—22no—
625C2×C4⋊C4—22no—
626C2×C4⋊C4—22no—
627C2×C4⋊C4—22no—
628C2×C4⋊C4—41no—
629C2×C4⋊C4—41no—
630C2×C4⋊C4—41no—
631C2×C4⋊C4—41no—
632C2×C4⋊C4—41no—
633C2×C4⋊C4—41no—
634C2×C4⋊C4—41no—
635C2×C4⋊C4—41no—
636C2×C4⋊C4—41no—
637C2×C4⋊C4—41no—
638C2×C4⋊C4—41no—
639C2×C4⋊C4—41no—
640C2×C4⋊C4—41no—
641C2×C4⋊C4—41no—
642C2×C4⋊C4—41no—
643C2×C4⋊C4—41no—
644C2×C4⋊C4—41no—
645C2×C4⋊C4—41no—
646C2×C4⋊C4—41no—
647C2×C4⋊C4—41no—
648C2×C4⋊C4—41no—
649C2×C4⋊C4—41no—
650C2×C4⋊C4—41no—
651C2×C4⋊C4—41no—
652C2×C4⋊C4—41no—
653C2×C4⋊C4—41no—
654C2×C4⋊C4—41no—
655C2×C4⋊C4C2×D414yes—
656C2×C4⋊C4C2×D414yes—
657C2×C4⋊C4C2×D414yescomplemented
658C2×C22⋊C4—22no—
659C2×C22⋊C4—22no—
660C2×C22⋊C4—22no—
661C2×C22⋊C4—22no—
662C2×C22⋊C4—22no—
663C2×C22⋊C4—22no—
664C2×C22⋊C4—22no—
665C2×C22⋊C4—22no—
666C2×C22⋊C4—22no—
667C2×C22⋊C4—22no—
668C2×C22⋊C4—22no—
669C2×C22⋊C4—22no—
670C2×C22⋊C4—22no—
671C2×C22⋊C4—22no—
672C2×C22⋊C4—22no—
673C2×C22⋊C4—22no—
674C2×C22⋊C4—22no—
675C2×C22⋊C4—22no—
676C2×C22⋊C4—22no—
677C2×C22⋊C4—22no—
678C2×C22⋊C4—22no—
679C2×C22⋊C4—22no—
680C2×C22⋊C4—22no—
681C2×C22⋊C4—22no—
682C2×C22⋊C4—22no—
683C2×C22⋊C4—22no—
684C2×C22⋊C4—22no—
685C2×C22⋊C4—22no—
686C2×C22⋊C4—22no—
687C2×C22⋊C4—22no—
688C2×C22⋊C4—22no—
689C2×C22⋊C4—22no—
690C2×C22⋊C4—22no—
691C2×C22⋊C4—22no—
692C2×C22⋊C4—22no—
693C2×C22⋊C4—22no—
694C2×C22⋊C4—22no—
695C2×C22⋊C4—22no—
696C2×C22⋊C4—22no—
697C2×C22⋊C4—22no—
698C2×C22⋊C4—22no—
699C2×C22⋊C4—22no—
700C2×C22⋊C4—22no—
701C2×C22⋊C4—22no—
702C2×C22⋊C4—22no—
703C2×C22⋊C4—22no—
704C2×C22⋊C4—22no—
705C2×C22⋊C4—22no—
706C2×C22⋊C4—22no—
707C2×C22⋊C4—22no—
708C2×C22⋊C4—22no—
709C2×C22⋊C4—22no—
710C2×C22⋊C4—22no—
711C2×C22⋊C4—22no—
712C2×C22⋊C4—22no—
713C2×C22⋊C4—22no—
714C2×C22⋊C4—22no—
715C2×C22⋊C4—22no—
716C2×C22⋊C4—22no—
717C2×C22⋊C4—22no—
718C2×C22⋊C4—22no—
719C2×C22⋊C4—22no—
720C2×C22⋊C4—22no—
721C2×C22⋊C4—22no—
722C2×C22⋊C4—22no—
723C2×C22⋊C4—22no—
724C2×C22⋊C4—22no—
725C2×C22⋊C4—22no—
726C2×C22⋊C4—22no—
727C2×C22⋊C4—22no—
728C2×C22⋊C4—22no—
729C2×C22⋊C4—22no—
730C2×C22⋊C4—41no—
731C2×C22⋊C4—41no—
732C2×C22⋊C4—41no—
733C2×C22⋊C4—41no—
734C2×C22⋊C4—41no—
735C2×C22⋊C4—41no—
736C2×C22⋊C4—41no—
737C2×C22⋊C4—41no—
738C2×C22⋊C4—41no—
739C2×C22⋊C4—41no—
740C2×C22⋊C4—41no—
741C2×C22⋊C4—41no—
742C2×C22⋊C4—41no—
743C2×C22⋊C4—41no—
744C2×C22⋊C4—41no—
745C2×C22⋊C4—41no—
746C2×C22⋊C4—41no—
747C2×C22⋊C4—41no—
748C2×C22⋊C4—41no—
749C2×C22⋊C4—41no—
750C2×C22⋊C4—41no—
751C2×C22⋊C4—41no—
752C2×C22⋊C4—41no—
753C2×C22⋊C4—41no—
754C2×C22⋊C4—41no—
755C2×C22⋊C4—41no—
756C2×C22⋊C4—41no—
757C2×C22⋊C4—41no—
758C2×C22⋊C4—41no—
759C2×C22⋊C4—41no—
760C2×C22⋊C4—41no—
761C2×C22⋊C4—41no—
762C2×C22⋊C4—41no—
763C2×C22⋊C4—41no—
764C2×C22⋊C4—41no—
765C2×C22⋊C4—41no—
766C2×C22⋊C4—41no—
767C2×C22⋊C4—41no—
768C2×C22⋊C4—41no—
769C2×C22⋊C4—41no—
770C2×C22⋊C4—41no—
771C2×C22⋊C4—41no—
772C2×C22⋊C4—41no—
773C2×C22⋊C4—41no—
774C2×C22⋊C4—41no—
775C2×C22⋊C4—41no—
776C2×C22⋊C4—41no—
777C2×C22⋊C4—41no—
778C2×C22⋊C4—41no—
779C2×C22⋊C4—41no—
780C2×C22⋊C4—41no—
781C2×C22⋊C4—41no—
782C2×C22⋊C4—41no—
783C2×C22⋊C4—41no—
784C2×C22⋊C4—41no—
785C2×C22⋊C4—41no—
786C2×C22⋊C4—41no—
787C2×C22⋊C4—41no—
788C2×C22⋊C4—41no—
789C2×C22⋊C4—41no—
790C2×C22⋊C4—41no—
791C2×C22⋊C4—41no—
792C2×C22⋊C4—41no—
793C2×C22⋊C4—41no—
794C2×C22⋊C4—41no—
795C2×C22⋊C4—41no—
796C2×C22⋊C4—41no—
797C2×C22⋊C4—41no—
798C2×C22⋊C4—41no—
799C2×C22⋊C4—41no—
800C2×C22⋊C4—41no—
801C2×C22⋊C4—41no—
802C2×C22⋊C4—41no—
803C2×C22⋊C4—41no—
804C2×C22⋊C4—41no—
805C2×C22⋊C4—41no—
806C2×C22⋊C4—41no—
807C2×C22⋊C4—41no—
808C2×C22⋊C4—41no—
809C2×C22⋊C4—41no—
810C2×C22⋊C4—41no—
811C2×C22⋊C4—41no—
812C2×C22⋊C4—41no—
813C2×C22⋊C4—41no—
814C2×C22⋊C4—41no—
815C2×C22⋊C4—41no—
816C2×C22⋊C4—41no—
817C2×C22⋊C4—41no—
818C2×C22⋊C4—41no—
819C2×C22⋊C4—41no—
820C2×C22⋊C4—41no—
821C2×C22⋊C4—41no—
822C2×C22⋊C4—41no—
823C2×C22⋊C4—41no—
824C2×C22⋊C4—41no—
825C2×C22⋊C4—41no—
826C2×C22⋊C4—41no—
827C2×C22⋊C4—41no—
828C2×C22⋊C4—41no—
829C2×C22⋊C4—41no—
830C2×C22⋊C4—41no—
831C2×C22⋊C4—41no—
832C2×C22⋊C4—41no—
833C2×C22⋊C4—41no—
834C2×C22⋊C4—41no—
835C2×C22⋊C4—41no—
836C2×C22⋊C4—41no—
837C2×C22⋊C4—41no—
838C2×C22⋊C4—41no—
839C2×C22⋊C4—41no—
840C2×C22⋊C4—41no—
841C2×C22⋊C4—41no—
842C2×C22⋊C4—41no—
843C2×C22⋊C4—41no—
844C2×C22⋊C4C2×D414yes—
845C2×C22⋊C4C2×D414yes—
846C2×C22⋊C4C2×D414yes—
847C2×C22⋊C4C2×D414yes—
848C2×C22⋊C4C2×D414yescomplemented
849C2×C22⋊C4C2×D414yescomplemented
850C2×C42—22no—
851C2×C42—22no—
852C2×C42—22no—
853C2×C42—22no—
854C2×C42—22no—
855C2×C42—22no—
856C2×C42—22no—
857C2×C42—22no—
858C2×C42—22no—
859C2×C42—41no—
860C2×C42—41no—
861C2×C42—41no—
862C2×C42—41no—
863C2×C42—41no—
864C2×C42—41no—
865C2×C42—41no—
866C2×C42—41no—
867C2×C42—41no—
868C2×C42—41no—
869C2×C42—41no—
870C2×C42—41no—
871#95—22no—
872#95—22no—
873#95—22no—
874#95—22no—
875#95—22no—
876#95—22no—
877#95—22no—
878#95—22no—
879#95—22no—
880#95—22no—
881#95—22no—
882#95—22no—
883#95—22no—
884#95—22no—
885#95—22no—
886#95—22no—
887#95—22no—
888#95—22no—
889#95—22no—
890#95—22no—
891#95—22no—
892#95—22no—
893#95—41no—
894#95—41no—
895#95—41no—
896#95—41no—
897#95—41no—
898#95—41no—
899#95—41no—
900#95—41no—
901#95—41no—
902#95—41no—
903#95—41no—
904#95—41no—
905#95—41no—
906#95—41no—
907#95—41no—
908#95—41no—
909#95—41no—
910#95—41no—
911#95—41no—
912#95—41no—
913#95—41no—
914#95—41no—
915#95—41no—
916#95—41no—
917#95—41no—
918#95C2×D414yes—
919#95C2×D414yes—
920#95C2×D414yescomplemented
921C24—21no—
922C24—21no—
923C24—21no—
924C24—21no—
925C24—21no—
926C24—21no—
927C24—21no—
928C24—21no—
929C24—21no—
930C24—21no—
931C24—21no—
932C24—21no—
933C24—21no—
934C24—21no—
935C24—21no—
936C24—21no—
937C24—21no—
938C24—21no—
939C24—21no—
940C24—21no—
941C24—21no—
942C24—21no—
943C24—21no—
944C24—21no—
945C24—21no—
946C24—21no—
947C24—21no—
948C24—21no—
949C24—21no—
950C24—21no—
951C24—21no—
952C24—21no—
953C24—21no—
954C24—21no—
955C24—21no—
956C24—21no—
957C24—21no—
958C24—21no—
959C24—21no—
960C24—21no—
961C24—21no—
962C24—21no—
963C24—21no—
964C24—21no—
965C24—21no—
966C24—21no—
967C24—21no—
968C24—21no—
969C24—21no—
970C24—21no—
971C24—21no—
972C24—21no—
973C24—21no—
974C24—21no—
975C24—21no—
976C24—21no—
977C24—21no—
978C24—21no—
979C24—21no—
980C24—21no—
981C24—21no—
982C24—21no—
983C24—21no—
984C24—21no—
985C24—21no—
986C24—21no—
987C24—21no—
988C24—21no—
989C24—21no—
990C24—21no—
991C24—21no—
992C24—21no—
993C24—21no—
994C24—21no—
995C24—21no—
996C24—21no—
997C24—21no—
998C24—21no—
999C24—21no—
1000C24—21no—
1001C24—21no—
1002C24—21no—
1003C24—44no—
1004C24—44no—
1005C24—44no—
1006C24—44no—
1007C24—44no—
1008C24—44no—
1009C24—44no—
1010C24—44no—
1011C24—44no—
1012C24—44no—
1013C24—44no—
1014C24—44no—
1015C24—44no—
1016C24—44no—
1017C24—44no—
1018C24—44no—
1019C24—44no—
1020C24—44no—
1021C24—44no—
1022C24—44no—
1023C24—44no—
1024C24—44no—
1025C24—44no—
1026C24—44no—
1027C24—44no—
1028C24—44no—
1029C24—82no—
1030C24—82no—
1031C24—82no—
1032C24—82no—
1033C24—82no—
1034C24—82no—
1035C24—82no—
1036C24—82no—
1037C24—82no—
1038C24—82no—
1039C24—82no—
1040C24—82no—
1041C24—82no—
1042C24—82no—
1043C24—82no—
1044C24—82no—
1045C24—82no—
1046C24—82no—
1047C24—82no—
1048C24—82no—
1049C24—82no—
1050C24—82no—
1051C24—82no—
1052C24—82no—
1053C24—82no—
1054C24—82no—
1055C24—82no—
1056C24—82no—
1057C24—82no—
1058C24—82no—
1059C24—82no—
1060C24—82no—
1061C24—82no—
1062C24—82no—
1063C24—82no—
1064C24—82no—
1065C24—82no—
1066C24—82no—
1067C24—82no—
1068C24—82no—
1069C24—82no—
1070C24—82no—
1071C24—82no—
1072C24—82no—
1073C24C22×D412yes—
1074C24C22×D412yes—
1075C24C22×D412yes—
1076C24C2×#4112yes—
1077C24C2×#4112yes—
1078C24H(5,𝔽2)12yes—
1079C24H(5,𝔽2)12yes—
1080C24H(5,𝔽2)12yes—
1081C24C2511yescharacteristic
1082C2×D4—28no—
1083C2×D4—28no—
1084C2×D4—28no—
1085C2×D4—28no—
1086C2×D4—28no—
1087C2×D4—44no—
1088C2×D4—44no—
1089C2×D4—44no—
1090C2×D4—44no—
1091C2×D4—44no—
1092C2×D4—44no—
1093C2×D4—44no—
1094C2×D4—44no—
1095C2×D4—44no—
1096C2×D4—44no—
1097C2×D4—44no—
1098C2×D4—44no—
1099C2×D4—44no—
1100C2×D4—44no—
1101C2×D4—44no—
1102C2×D4—44no—
1103C2×D4—44no—
1104C2×D4—44no—
1105C2×D4—44no—
1106C2×D4—44no—
1107C2×D4—44no—
1108C2×D4—44no—
1109C2×D4—44no—
1110C2×D4—44no—
1111C2×D4—44no—
1112C2×D4—44no—
1113C2×D4—44no—
1114C2×D4—44no—
1115C2×D4—44no—
1116C2×D4—44no—
1117C2×D4—44no—
1118C2×D4—44no—
1119C2×D4—44no—
1120C2×D4—44no—
1121C2×D4—44no—
1122C2×D4—4128no—
1123C2×D4—44no—
1124C2×D4—44no—
1125C2×D4—44no—
1126C2×D4—44no—
1127C2×D4—44no—
1128C2×D4—44no—
1129C2×D4—44no—
1130C2×D4—82no—
1131C2×D4—82no—
1132C2×D4—82no—
1133C2×D4—82no—
1134C2×D4—82no—
1135C2×D4—82no—
1136C2×D4—82no—
1137C2×D4—82no—
1138C2×D4—82no—
1139C2×D4—82no—
1140C2×D4—82no—
1141C2×D4—82no—
1142C2×D4—82no—
1143C2×D4—82no—
1144C2×D4—82no—
1145C2×D4—82no—
1146C22×C4—21no—
1147C22×C4—21no—
1148C22×C4—21no—
1149C22×C4—21no—
1150C22×C4—21no—
1151C22×C4—21no—
1152C22×C4—21no—
1153C22×C4—21no—
1154C22×C4—21no—
1155C22×C4—21no—
1156C22×C4—21no—
1157C22×C4—21no—
1158C22×C4—21no—
1159C22×C4—21no—
1160C22×C4—21no—
1161C22×C4—21no—
1162C22×C4—21no—
1163C22×C4—21no—
1164C22×C4—21no—
1165C22×C4—21no—
1166C22×C4—21no—
1167C22×C4—21no—
1168C22×C4—21no—
1169C22×C4—21no—
1170C22×C4—21no—
1171C22×C4—21no—
1172C22×C4—21no—
1173C22×C4—21no—
1174C22×C4—21no—
1175C22×C4—21no—
1176C22×C4—21no—
1177C22×C4—21no—
1178C22×C4—21no—
1179C22×C4—21no—
1180C22×C4—21no—
1181C22×C4—21no—
1182C22×C4—21no—
1183C22×C4—21no—
1184C22×C4—21no—
1185C22×C4—21no—
1186C22×C4—21no—
1187C22×C4—21no—
1188C22×C4—21no—
1189C22×C4—21no—
1190C22×C4—21no—
1191C22×C4—21no—
1192C22×C4—21no—
1193C22×C4—21no—
1194C22×C4—21no—
1195C22×C4—21no—
1196C22×C4—21no—
1197C22×C4—21no—
1198C22×C4—21no—
1199C22×C4—21no—
1200C22×C4—21no—
1201C22×C4—21no—
1202C22×C4—21no—
1203C22×C4—21no—
1204C22×C4—21no—
1205C22×C4—21no—
1206C22×C4—21no—
1207C22×C4—21no—
1208C22×C4—28no—
1209C22×C4—28no—
1210C22×C4—21no—
1211C22×C4—21no—
1212C22×C4—21no—
1213C22×C4—21no—
1214C22×C4—21no—
1215C22×C4—21no—
1216C22×C4—21no—
1217C22×C4—21no—
1218C22×C4—21no—
1219C22×C4—21no—
1220C22×C4—21no—
1221C22×C4—21no—
1222C22×C4—21no—
1223C22×C4—21no—
1224C22×C4—21no—
1225C22×C4—21no—
1226C22×C4—21no—
1227C22×C4—21no—
1228C22×C4—21no—
1229C22×C4—21no—
1230C22×C4—21no—
1231C22×C4—21no—
1232C22×C4—21no—
1233C22×C4—21no—
1234C22×C4—21no—
1235C22×C4—21no—
1236C22×C4—21no—
1237C22×C4—21no—
1238C22×C4—21no—
1239C22×C4—21no—
1240C22×C4—21no—
1241C22×C4—21no—
1242C22×C4—21no—
1243C22×C4—21no—
1244C22×C4—21no—
1245C22×C4—21no—
1246C22×C4—21no—
1247C22×C4—21no—
1248C22×C4—21no—
1249C22×C4—21no—
1250C22×C4—21no—
1251C22×C4—21no—
1252C22×C4—21no—
1253C22×C4—21no—
1254C22×C4—21no—
1255C22×C4—21no—
1256C22×C4—21no—
1257C22×C4—21no—
1258C22×C4—21no—
1259C22×C4—21no—
1260C22×C4—21no—
1261C22×C4—21no—
1262C22×C4—21no—
1263C22×C4—21no—
1264C22×C4—21no—
1265C22×C4—21no—
1266C22×C4—21no—
1267C22×C4—21no—
1268C22×C4—21no—
1269C22×C4—21no—
1270C22×C4—21no—
1271C22×C4—21no—
1272C22×C4—21no—
1273C22×C4—21no—
1274C22×C4—21no—
1275C22×C4—21no—
1276C22×C4—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—44no—
1309C22×C4—44no—
1310C22×C4—44no—
1311C22×C4—44no—
1312C22×C4—44no—
1313C22×C4—44no—
1314C22×C4—44no—
1315C22×C4—44no—
1316C22×C4—82no—
1317C22×C4—82no—
1318C22×C4—82no—
1319C22×C4—82no—
1320C22×C4C22×D412yes—
1321C22×C4C22×D412yes—
1322C22×C4C22×D412yes—
1323C22×C4C22×D412yes—
1324C22×C4C22×D412yes—
1325C22×C4C22×D412yes—
1326C22×C4C22×D412yes—
1327C22×C4C22×D412yes—
1328C22×C4C22×D412yes—
1329C22×C4C22×D412yes—
1330C22×C4C22×D412yes—
1331C22×C4C2×#4112yes—
1332C22×C4H(5,𝔽2)12yes—
1333C22×C4H(5,𝔽2)12yes—
1334C22×C4H(5,𝔽2)12yes—
1335C4⋊C4—28no—
1336C4⋊C4—44no—
1337C4⋊C4—44no—
1338C4⋊C4—44no—
1339C4⋊C4—44no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—44no—
1343C4⋊C4—44no—
1344C4⋊C4—44no—
1345C4⋊C4—44no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4—82no—
1349C4⋊C4—82no—
1350C4⋊C4—82no—
1351C4⋊C4—82no—
1352C4⋊C4—82no—
1353C4⋊C4—82no—
1354C4⋊C4—82no—
1355C4⋊C4—82no—
1356C22⋊C4—28no—
1357C22⋊C4—28no—
1358C22⋊C4—28no—
1359C22⋊C4—44no—
1360C22⋊C4—44no—
1361C22⋊C4—44no—
1362C22⋊C4—44no—
1363C22⋊C4—44no—
1364C22⋊C4—44no—
1365C22⋊C4—44no—
1366C22⋊C4—44no—
1367C22⋊C4—44no—
1368C22⋊C4—44no—
1369C22⋊C4—44no—
1370C22⋊C4—44no—
1371C22⋊C4—44no—
1372C22⋊C4—44no—
1373C22⋊C4—44no—
1374C22⋊C4—44no—
1375C22⋊C4—44no—
1376C22⋊C4—44no—
1377C22⋊C4—44no—
1378C22⋊C4—44no—
1379C22⋊C4—44no—
1380C22⋊C4—82no—
1381C22⋊C4—82no—
1382C22⋊C4—82no—
1383C22⋊C4—82no—
1384C22⋊C4—82no—
1385C22⋊C4—82no—
1386C22⋊C4—82no—
1387C22⋊C4—82no—
1388C22⋊C4—82no—
1389C22⋊C4—82no—
1390C22⋊C4—82no—
1391C22⋊C4—82no—
1392C22⋊C4—82no—
1393C22⋊C4—82no—
1394C22⋊C4—82no—
1395C22⋊C4—82no—
1396C22⋊C4—82no—
1397C22⋊C4—82no—
1398C22⋊C4—82no—
1399C22⋊C4—82no—
1400C22⋊C4—82no—
1401C22⋊C4—82no—
1402C22⋊C4—82no—
1403C22⋊C4—82no—
1404C22⋊C4—82no—
1405C22⋊C4—82no—
1406C22⋊C4—82no—
1407C22⋊C4—82no—
1408C22⋊C4—82no—
1409C22⋊C4—82no—
1410C22⋊C4—82no—
1411C22⋊C4—82no—
1412C22⋊C4—82no—
1413C22⋊C4—82no—
1414C22⋊C4—82no—
1415C22⋊C4—82no—
1416C22⋊C4—82no—
1417C22⋊C4—82no—
1418C22⋊C4—82no—
1419C22⋊C4—82no—
1420C42—44no—
1421C42—44no—
1422C42—44no—
1423C42—82no—
1424C42—82no—
1425C42—82no—
1426C42—82no—
1427C23—22no—
1428C23—22no—
1429C23—22no—
1430C23—22no—
1431C23—22no—
1432C23—22no—
1433C23—22no—
1434C23—22no—
1435C23—22no—
1436C23—22no—
1437C23—22no—
1438C23—22no—
1439C23—22no—
1440C23—22no—
1441C23—22no—
1442C23—22no—
1443C23—22no—
1444C23—22no—
1445C23—22no—
1446C23—22no—
1447C23—22no—
1448C23—22no—
1449C23—22no—
1450C23—22no—
1451C23—22no—
1452C23—22no—
1453C23—22no—
1454C23—22no—
1455C23—22no—
1456C23—22no—
1457C23—22no—
1458C23—22no—
1459C23—22no—
1460C23—22no—
1461C23—22no—
1462C23—22no—
1463C23—22no—
1464C23—22no—
1465C23—22no—
1466C23—22no—
1467C23—22no—
1468C23—22no—
1469C23—22no—
1470C23—22no—
1471C23—22no—
1472C23—22no—
1473C23—22no—
1474C23—22no—
1475C23—22no—
1476C23—22no—
1477C23—22no—
1478C23—22no—
1479C23—22no—
1480C23—41no—
1481C23—41no—
1482C23—41no—
1483C23—41no—
1484C23—41no—
1485C23—41no—
1486C23—41no—
1487C23—41no—
1488C23—41no—
1489C23—41no—
1490C23—41no—
1491C23—41no—
1492C23—41no—
1493C23—41no—
1494C23—41no—
1495C23—41no—
1496C23—416no—
1497C23—416no—
1498C23—41no—
1499C23—41no—
1500C23—41no—
1501C23—41no—
1502C23—41no—
1503C23—41no—
1504C23—41no—
1505C23—41no—
1506C23—41no—
1507C23—41no—
1508C23—41no—
1509C23—41no—
1510C23—41no—
1511C23—41no—
1512C23—41no—
1513C23—41no—
1514C23—41no—
1515C23—41no—
1516C23—41no—
1517C23—41no—
1518C23—41no—
1519C23—41no—
1520C23—41no—
1521C23—41no—
1522C23—41no—
1523C23—41no—
1524C23—41no—
1525C23—41no—
1526C23—41no—
1527C23—41no—
1528C23—41no—
1529C23—41no—
1530C23—41no—
1531C23—41no—
1532C23—41no—
1533C23—41no—
1534C23—41no—
1535C23—41no—
1536C23—41no—
1537C23—41no—
1538C23—41no—
1539C23—41no—
1540C23—41no—
1541C23—41no—
1542C23—41no—
1543C23—41no—
1544C23—41no—
1545C23—41no—
1546C23—41no—
1547C23—41no—
1548C23—41no—
1549C23—41no—
1550C23—41no—
1551C23—41no—
1552C23—41no—
1553C23—41no—
1554C23—41no—
1555C23—41no—
1556C23—41no—
1557C23—41no—
1558C23—41no—
1559C23—41no—
1560C23—41no—
1561C23—41no—
1562C23—41no—
1563C23—41no—
1564C23—41no—
1565C23—41no—
1566C23—41no—
1567C23—41no—
1568C23—41no—
1569C23—41no—
1570C23—41no—
1571C23—41no—
1572C23—41no—
1573C23—41no—
1574C23—41no—
1575C23—41no—
1576C23—41no—
1577C23—41no—
1578C23—41no—
1579C23—41no—
1580C23—41no—
1581C23—41no—
1582C23—41no—
1583C23—41no—
1584C23—41no—
1585C23—41no—
1586C23—41no—
1587C23—41no—
1588C23—41no—
1589C23—41no—
1590C23—41no—
1591C23—41no—
1592C23—41no—
1593C23—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—88no—
1639C23—88no—
1640C23—88no—
1641C23—88no—
1642C23—88no—
1643C23—88no—
1644C23—88no—
1645C23—88no—
1646C23—88no—
1647C23—88no—
1648C23—88no—
1649C23—88no—
1650C23—88no—
1651C23—88no—
1652C23—88no—
1653C23—88no—
1654C23—88no—
1655C23—88no—
1656C23—88no—
1657C23—88no—
1658C23—88no—
1659C23—88no—
1660C23—88no—
1661C23—88no—
1662C23—88no—
1663C23—88no—
1664C23—88no—
1665C23—88no—
1666C23D4214yes—
1667C23C23×D411yescharacteristic
1668C23C23×D411yescharacteristic
1669C23C22×#4111yescharacteristic
1670C23C2×H(5,𝔽2)11yescharacteristic
1671C23C2×H(5,𝔽2)11yescharacteristic
1672C23C2×H(5,𝔽2)11yescharacteristic
1673C23C2×H(5,𝔽2)11yescharacteristic
1674C23C2×H(5,𝔽2)11yescharacteristic
1675C23C2×H(5,𝔽2)11yescharacteristic
1676C23#58511yescharacteristic
1677C23#58511yescharacteristic
1678C23#58511yescharacteristic
1679C23#58511yescharacteristic
1680C23#58511yescharacteristic
1681C23#58511yescharacteristic
1682D4—416no—
1683D4—416no—
1684D4—416no—
1685D4—416no—
1686D4—416no—
1687D4—88no—
1688D4—88no—
1689D4—88no—
1690D4—88no—
1691C2×C4—22no—
1692C2×C4—22no—
1693C2×C4—22no—
1694C2×C4—22no—
1695C2×C4—22no—
1696C2×C4—22no—
1697C2×C4—22no—
1698C2×C4—22no—
1699C2×C4—22no—
1700C2×C4—22no—
1701C2×C4—22no—
1702C2×C4—22no—
1703C2×C4—22no—
1704C2×C4—22no—
1705C2×C4—22no—
1706C2×C4—22no—
1707C2×C4—22no—
1708C2×C4—22no—
1709C2×C4—22no—
1710C2×C4—22no—
1711C2×C4—22no—
1712C2×C4—22no—
1713C2×C4—22no—
1714C2×C4—22no—
1715C2×C4—22no—
1716C2×C4—22no—
1717C2×C4—22no—
1718C2×C4—22no—
1719C2×C4—22no—
1720C2×C4—22no—
1721C2×C4—22no—
1722C2×C4—22no—
1723C2×C4—22no—
1724C2×C4—22no—
1725C2×C4—22no—
1726C2×C4—22no—
1727C2×C4—22no—
1728C2×C4—22no—
1729C2×C4—22no—
1730C2×C4—416no—
1731C2×C4—41no—
1732C2×C4—41no—
1733C2×C4—41no—
1734C2×C4—41no—
1735C2×C4—41no—
1736C2×C4—41no—
1737C2×C4—41no—
1738C2×C4—41no—
1739C2×C4—41no—
1740C2×C4—41no—
1741C2×C4—41no—
1742C2×C4—41no—
1743C2×C4—41no—
1744C2×C4—41no—
1745C2×C4—41no—
1746C2×C4—41no—
1747C2×C4—41no—
1748C2×C4—41no—
1749C2×C4—41no—
1750C2×C4—41no—
1751C2×C4—41no—
1752C2×C4—41no—
1753C2×C4—41no—
1754C2×C4—41no—
1755C2×C4—41no—
1756C2×C4—41no—
1757C2×C4—41no—
1758C2×C4—41no—
1759C2×C4—41no—
1760C2×C4—41no—
1761C2×C4—41no—
1762C2×C4—41no—
1763C2×C4—41no—
1764C2×C4—41no—
1765C2×C4—41no—
1766C2×C4—41no—
1767C2×C4—41no—
1768C2×C4—41no—
1769C2×C4—41no—
1770C2×C4—41no—
1771C2×C4—41no—
1772C2×C4—41no—
1773C2×C4—41no—
1774C2×C4—41no—
1775C2×C4—41no—
1776C2×C4—41no—
1777C2×C4—41no—
1778C2×C4—41no—
1779C2×C4—41no—
1780C2×C4—41no—
1781C2×C4—41no—
1782C2×C4—41no—
1783C2×C4—41no—
1784C2×C4—41no—
1785C2×C4—41no—
1786C2×C4—41no—
1787C2×C4—41no—
1788C2×C4—41no—
1789C2×C4—41no—
1790C2×C4—41no—
1791C2×C4—41no—
1792C2×C4—41no—
1793C2×C4—41no—
1794C2×C4—41no—
1795C2×C4—41no—
1796C2×C4—41no—
1797C2×C4—41no—
1798C2×C4—41no—
1799C2×C4—41no—
1800C2×C4—41no—
1801C2×C4—41no—
1802C2×C4—41no—
1803C2×C4—41no—
1804C2×C4—41no—
1805C2×C4—41no—
1806C2×C4—41no—
1807C2×C4—41no—
1808C2×C4—41no—
1809C2×C4—41no—
1810C2×C4—41no—
1811C2×C4—41no—
1812C2×C4—41no—
1813C2×C4—41no—
1814C2×C4—41no—
1815C2×C4—41no—
1816C2×C4—41no—
1817C2×C4—41no—
1818C2×C4—41no—
1819C2×C4—41no—
1820C2×C4—41no—
1821C2×C4—41no—
1822C2×C4—41no—
1823C2×C4—41no—
1824C2×C4—41no—
1825C2×C4—41no—
1826C2×C4—41no—
1827C2×C4—41no—
1828C2×C4—41no—
1829C2×C4—41no—
1830C2×C4—41no—
1831C2×C4—41no—
1832C2×C4—41no—
1833C2×C4—41no—
1834C2×C4—41no—
1835C2×C4—41no—
1836C2×C4—41no—
1837C2×C4—41no—
1838C2×C4—41no—
1839C2×C4—41no—
1840C2×C4—41no—
1841C2×C4—41no—
1842C2×C4—41no—
1843C2×C4—41no—
1844C2×C4—41no—
1845C2×C4—41no—
1846C2×C4—41no—
1847C2×C4—41no—
1848C2×C4—41no—
1849C2×C4—41no—
1850C2×C4—41no—
1851C2×C4—41no—
1852C2×C4—41no—
1853C2×C4—41no—
1854C2×C4—41no—
1855C2×C4—41no—
1856C2×C4—41no—
1857C2×C4—41no—
1858C2×C4—41no—
1859C2×C4—41no—
1860C2×C4—41no—
1861C2×C4—41no—
1862C2×C4—41no—
1863C2×C4—41no—
1864C2×C4—41no—
1865C2×C4—88no—
1866C2×C4#53514yes—
1867C2×C4#54614yes—
1868C22—24no—
1869C22—24no—
1870C22—24no—
1871C22—42no—
1872C22—42no—
1873C22—42no—
1874C22—42no—
1875C22—42no—
1876C22—42no—
1877C22—42no—
1878C22—42no—
1879C22—42no—
1880C22—42no—
1881C22—42no—
1882C22—42no—
1883C22—42no—
1884C22—42no—
1885C22—42no—
1886C22—42no—
1887C22—42no—
1888C22—42no—
1889C22—42no—
1890C22—42no—
1891C22—42no—
1892C22—42no—
1893C22—42no—
1894C22—42no—
1895C22—42no—
1896C22—42no—
1897C22—42no—
1898C22—42no—
1899C22—42no—
1900C22—42no—
1901C22—42no—
1902C22—42no—
1903C22—42no—
1904C22—42no—
1905C22—42no—
1906C22—42no—
1907C22—42no—
1908C22—42no—
1909C22—42no—
1910C22—42no—
1911C22—42no—
1912C22—42no—
1913C22—42no—
1914C22—42no—
1915C22—42no—
1916C22—42no—
1917C22—42no—
1918C22—832no—
1919C22—832no—
1920C22—81no—
1921C22—81no—
1922C22—81no—
1923C22—81no—
1924C22—81no—
1925C22—81no—
1926C22—81no—
1927C22—81no—
1928C22—81no—
1929C22—81no—
1930C22—81no—
1931C22—81no—
1932C22—81no—
1933C22—81no—
1934C22—81no—
1935C22—81no—
1936C22—81no—
1937C22—81no—
1938C22—81no—
1939C22—81no—
1940C22—81no—
1941C22—81no—
1942C22—81no—
1943C22—81no—
1944C22—81no—
1945C22—81no—
1946C22—81no—
1947C22—81no—
1948C22—81no—
1949C22—81no—
1950C22—81no—
1951C22—81no—
1952C22—81no—
1953C22—81no—
1954C22—81no—
1955C22—81no—
1956C22—81no—
1957C22—81no—
1958C22—81no—
1959C22—81no—
1960C22C2×#53511yescharacteristic
1961C22C2×D4211yescharacteristic
1962C22C2×#54611yescharacteristic
1963C22D4×#4111yescharacteristic
1964C22#348411yescharacteristic
1965C22#348711yescharacteristic
1966C22#348811yescharacteristic
1967C22#348811yescharacteristic
1968C22#349011yescharacteristic
1969C22#349011yescharacteristic
1970C22#349611yescharacteristic
1971C22#349611yescharacteristic
1972C22#349611yescharacteristic
1973C22#350011yescharacteristic
1974C22#350011yescharacteristic
1975C22#351311yescharacteristic
1976C22#352111yescharacteristic
1977C22#352111yescharacteristic
1978C22#353211yescharacteristic
1979C22#353211yescharacteristic
1980C22#353311yescharacteristic
1981C22#353411yescharacteristic
1982C22#353411yescharacteristic
1983C22#354211yescharacteristic
1984C22#354211yescharacteristic
1985C22#354211yescharacteristic
1986C22#354511yescharacteristic
1987C22#356011yescharacteristic
1988C22#356011yescharacteristic
1989C22#356211yescharacteristic
1990C22#356211yescharacteristic
1991C22#356211yescharacteristic
1992C22#356211yescharacteristic
1993C22#356211yescharacteristic
1994C22#356211yescharacteristic
1995C4—24no—
1996C4—24no—
1997C4—42no—
1998C4—42no—
1999C4—42no—
2000C4—42no—
2001C4—42no—
2002C4—42no—
2003C4—42no—
2004C4—42no—
2005C4—42no—
2006C4—81no—
2007C4—81no—
2008C4—81no—
2009C4—81no—
2010C4—81no—
2011C4—81no—
2012C4—81no—
2013C4—81no—
2014C4—81no—
2015C4—81no—
2016C4—81no—
2017C4—81no—
2018C4—81no—
2019C4—81no—
2020C2—44no—
2021C2—82no—
2022C2—82no—
2023C2—82no—
2024C2—82no—
2025C2—82no—
2026C2#3742411yescharacteristic
2027C2#3783311yescharacteristic
2028C2#3933911yescharacteristic
2029C2#4303411yescharacteristic
2030C2#4388911yescharacteristic
2031C2#4422611yescharacteristic
2032C2#4518711yescharacteristic
2033C2#4786111yescharacteristic
2034C2#4786111yescharacteristic
2035C2#4794811yescharacteristic
2036C2#4866411yescharacteristic
2037C2#4866511yescharacteristic
2038C2#5634511yescharacteristic
2039C2#5825611yescharacteristic
2040C2#5980811yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
prime radicalC2×#2408C2
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×#2722C2semidirect
2. C2×#2685C2semidirect
3. C2×#2685C2semidirect
5. #16811C2semidirect
6. #16555C2semidirect
7. #16501C2semidirect
8. #16372C2semidirect
9. #16255C2semidirect
10. #16255C2semidirect
11. #15986C2semidirect
12. #15986C2semidirect
13. #15661C2semidirect
14. #15661C2semidirect
15. #15640C2semidirect
16. #15617C2semidirect
17. #15615C2semidirect
18. #15456C2semidirect
19. #15319C2semidirect
20. #15316C2semidirect
21. #15297C2semidirect
22. #15282C2semidirect
23. #15007C2semidirect
24. #14999C2semidirect
25. #14824C2semidirect
26. #14724C2semidirect
27. #14563C2semidirect
28. #14418C2semidirect
29. #14185C2semidirect
30. #14108C2semidirect
31. #13902C2semidirect
44. C2×#399C22semidirect
45. C2×#399C22semidirect
46. C2×#398C22semidirect
47. C2×#398C22semidirect
48. C2×#398C22semidirect
49. C2×#398C22semidirect
50. C2×#398C22semidirect
53. C2×#397C22semidirect
54. C2×#396C22semidirect
55. C2×#396C22semidirect
56. C2×#396C22semidirect
66. C2×#394C22semidirect
67. C2×#394C22semidirect
68. C2×#394C22semidirect
69. C2×#394C22semidirect
70. C2×#394C22semidirect
71. C2×#394C22semidirect
80. C2×#390C22semidirect
81. C2×#390C22semidirect
82. C2×#390C22semidirect
83. C2×#390C22semidirect
84. C2×#389C22semidirect
85. C2×#389C22semidirect
86. C2×#389C22semidirect
89. C2×#388C22semidirect
90. C2×#388C22semidirect
91. C2×#388C22semidirect
92. C2×#388C22semidirect
93. C2×#388C22semidirect
94. C2×#388C22semidirect
95. C2×#387C22semidirect
96. C2×#387C22semidirect
97. C2×#387C22semidirect
99. C2×#385C22semidirect
113. #1445C22semidirect
114. #1441C22semidirect
115. #1441C22semidirect
121. #1440C22semidirect
122. #1440C22semidirect
123. #1440C22semidirect
124. #1440C22semidirect
125. #1440C22semidirect
127. #1439C22semidirect
128. #1439C22semidirect
129. #1439C22semidirect
130. #1439C22semidirect
131. #1439C22semidirect
132. #1439C22semidirect
133. #1439C22semidirect
134. #1439C22semidirect
135. #1439C22semidirect
136. #1439C22semidirect
137. #1439C22semidirect
138. #1439C22semidirect
139. #1439C22semidirect
140. #1439C22semidirect
141. #1439C22semidirect
142. #1439C22semidirect
143. #1439C22semidirect
144. #1439C22semidirect
145. #1439C22semidirect
146. #1439C22semidirect
147. #1439C22semidirect
148. #1439C22semidirect
149. #1439C22semidirect
150. #1439C22semidirect
151. #1439C22semidirect
152. #1439C22semidirect
153. #1439C22semidirect
163. #1438C22semidirect
164. #1438C22semidirect
165. #1438C22semidirect
166. #1438C22semidirect
167. #1438C22semidirect
168. #1438C22semidirect
169. #1437C22semidirect
170. #1437C22semidirect
171. #1437C22semidirect
172. #1437C22semidirect
173. #1437C22semidirect
174. #1437C22semidirect
175. #1437C22semidirect
176. #1437C22semidirect
177. #1436C22semidirect
178. #1436C22semidirect
179. #1436C22semidirect
180. #1436C22semidirect
181. #1436C22semidirect
182. #1436C22semidirect
183. #1436C22semidirect
184. #1436C22semidirect
185. #1434C22semidirect
187. C22⋊#95C22semidirect
188. C22⋊#95C22semidirect
189. C22⋊#95C22semidirect
190. C4×#95C22semidirect
351. #394D4semidirect
657. C2×C4⋊C4C2×D4semidirect
848. C2×C22⋊C4C2×D4semidirect
849. C2×C22⋊C4C2×D4semidirect
920. #95C2×D4semidirect

Maximal subgroups

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

subgroupindex
C2×#27222
C2×#26852
C2×#24082
#168112
#165552
#165012
#163722
#162552
#159862
#156612
#156402
#156172
#156152
#154562
#153192
#153162
#152972
#152822
#150072
#149992
#148242
#147242
#145632
#144182
#141852
#141082
#139022