Finite Group Databasebeta

← #648019

Subgroups — #648019

Order 512.

4190 conjugacy classes of subgroups.

The subgroup lattice has 1963 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2534C211yesmaximal, characteristic, complemented
2C2×#2455C211yesmaximal, characteristic, complemented
3C2×#2418C211yesmaximal, characteristic, complemented
4C2×#2358C211yesmaximal, characteristic, complemented
5C2×C4×#123C211yesmaximal, characteristic, complemented
6C2×C4×#121C211yesmaximal, characteristic, complemented
7#15398C211yesmaximal, characteristic, complemented
8#15365C211yesmaximal, characteristic, complemented
9#15335C211yesmaximal, characteristic, complemented
10#15303C211yesmaximal, characteristic, complemented
11#15274C211yesmaximal, characteristic, complemented
12#15269C211yesmaximal, characteristic, complemented
13#15268C211yesmaximal, characteristic, complemented
14#15257C211yesmaximal, characteristic
15#15160C211yesmaximal, characteristic, complemented
16#15159C211yesmaximal, characteristic, complemented
17#15084C211yesmaximal, characteristic, complemented
18#15002C211yesmaximal, characteristic, complemented
19#14756C211yesmaximal, characteristic, complemented
20#14752C211yesmaximal, characteristic, complemented
21#14731C211yesmaximal, characteristic, complemented
22#14730C211yesmaximal, characteristic, complemented
23#14696C211yesmaximal, characteristic, complemented
24#14200C211yesmaximal, characteristic, complemented
25#14176C211yesmaximal, characteristic, complemented
26#14068C211yesmaximal, characteristic, complemented
27#13994C211yesmaximal, characteristic, complemented
28#13991C211yesmaximal, characteristic, complemented
29#13891C211yesmaximal, characteristic, complemented
30#13886C211yesmaximal, characteristic, complemented
31#13873C211yesmaximal, characteristic, complemented
32C22×#123C2211yescharacteristic
33C22×#123C2211yescharacteristic
34C22×#121C2211yescharacteristic
35C22×#120C2211yescharacteristic
36C22×#120C2211yescharacteristic
37C22×C4×D4C2211yescharacteristic
38C22×C4×D4C2211yescharacteristic
39C22×C4×D4C2211yescharacteristic
40C22×C4×D4C2211yescharacteristic
41C22×C4×D4C2211yescharacteristic, complemented
42C23×C22⋊C4C2211yescharacteristic
43C23×C22⋊C4C2211yescharacteristic
44C23×C42C2211yescharacteristic, complemented
45#2534—28no—
46#2455—28no—
47#2418—28no—
48C2×#399C2211yescharacteristic
49C2×#399C2211yescharacteristic, complemented
50C2×#397C2211yescharacteristic
51C2×#397C2211yescharacteristic, complemented
52C2×#396C2211yescharacteristic
53C2×#396C2211yescharacteristic
54C2×#396C2211yescharacteristic
55C2×#394C2211yescharacteristic
56C2×#394C2211yescharacteristic
57C2×#394C2211yescharacteristic
58C2×#394C2211yescharacteristic
59C2×#394C2211yescharacteristic
60C2×#394C2211yescharacteristic
61C2×#394C2211yescharacteristic, complemented
62C2×#392C2211yescharacteristic
63C2×#392C2211yescharacteristic
64#2358—28no—
65C4×#123—28no—
66C4×#121—28no—
67C2×#390C2211yescharacteristic
68C2×#390C2211yescharacteristic
69C2×#389C2211yescharacteristic, complemented
70C2×#389C2211yescharacteristic, complemented
71C2×#389C2211yescharacteristic, complemented
72C2×#388C2211yescharacteristic
73C2×#388C2211yescharacteristic
74C2×#388C2211yescharacteristic
75C2×#388C2211yescharacteristic
76C2×#388C2211yescharacteristic
77C2×#388C2211yescharacteristic
78C2×#388C2211yescharacteristic
79C2×#388C2211yescharacteristic
80C2×#388C2211yescharacteristic
81C2×#388C2211yescharacteristic
82C2×#388C2211yescharacteristic
83C2×#388C2211yescharacteristic, complemented
84C2×#388C2211yescharacteristic, complemented
85C2×#388C2211yescharacteristic, complemented
86C2×#387C2211yescharacteristic, complemented
87C2×#387C2211yescharacteristic, complemented
88C2×#386C2211yescharacteristic
89C2×#386C2211yescharacteristic
90C2×#386C2211yescharacteristic
91C2×#386C2211yescharacteristic
92C2×#386C2211yescharacteristic
93C2×#386C2211yescharacteristic
94C2×#386C2211yescharacteristic
95C2×#386C2211yescharacteristic
96C2×#386C2211yescharacteristic
97C2×#386C2211yescharacteristic, complemented
98C2×#385C2211yescharacteristic
99C2×#385C2211yescharacteristic
100C2×#385C2211yescharacteristic
101C2×#385C2211yescharacteristic
102C2×#385C2211yescharacteristic, complemented
103C2×#385C2211yescharacteristic, complemented
104C2×#385C2211yescharacteristic, complemented
105C2×#381C2211yescharacteristic
106C2×#381C2211yescharacteristic, complemented
107C2×#380C2211yescharacteristic
108C2×#380C2211yescharacteristic
109C2×#380C2211yescharacteristic
110C2×#380C2211yescharacteristic, complemented
111C2×#379C2211yescharacteristic
112C2×#379C2211yescharacteristic
113C2×#379C2211yescharacteristic
114C2×C4×C4⋊C4C2211yescharacteristic, complemented
115C2×C4×C4⋊C4C2211yescharacteristic, complemented
116C2×C4×C4⋊C4C2211yescharacteristic, complemented
117C2×C4×C22⋊C4C2211yescharacteristic
118C2×C4×C22⋊C4C2211yescharacteristic
119C2×C4×C22⋊C4C2211yescharacteristic
120C2×C4×C22⋊C4C2211yescharacteristic
121C2×C4×C22⋊C4C2211yescharacteristic, complemented
122C2×C4×C22⋊C4C2211yescharacteristic, complemented
123#1445C2211yescharacteristic, complemented
124#1444C2211yescharacteristic, complemented
125#1444C2211yescharacteristic, complemented
126#1444C2211yescharacteristic, complemented
127#1444C2211yescharacteristic, complemented
128#1444C2211yescharacteristic, complemented
129#1443C2211yescharacteristic, complemented
130#1442C2211yescharacteristic, complemented
131#1442C2211yescharacteristic, complemented
132#1441C2211yescharacteristic, complemented
133#1441C2211yescharacteristic, complemented
134#1441C2211yescharacteristic, complemented
135#1441C2211yescharacteristic, complemented
136#1441C2211yescharacteristic, complemented
137#1441C2211yescharacteristic, complemented
138#1440C2211yescharacteristic
139#1440C2211yescharacteristic
140#1440C2211yescharacteristic
141#1440C2211yescharacteristic
142#1440C2211yescharacteristic
143#1440C2211yescharacteristic
144#1440C2211yescharacteristic, complemented
145#1440C2211yescharacteristic, complemented
146#1439C2211yescharacteristic
147#1439C2211yescharacteristic
148#1439C2211yescharacteristic
149#1439C2211yescharacteristic
150#1439C2211yescharacteristic
151#1439C2211yescharacteristic
152#1439C2211yescharacteristic
153#1439C2211yescharacteristic
154#1439C2211yescharacteristic, complemented
155#1439C2211yescharacteristic, complemented
156#1439C2211yescharacteristic, complemented
157#1439C2211yescharacteristic, complemented
158#1439C2211yescharacteristic, complemented
159#1438C2211yescharacteristic
160#1438C2211yescharacteristic
161#1438C2211yescharacteristic
162#1438C2211yescharacteristic
163#1438C2211yescharacteristic
164#1438C2211yescharacteristic
165#1438C2211yescharacteristic
166#1438C2211yescharacteristic, complemented
167#1437C2211yescharacteristic
168#1437C2211yescharacteristic
169#1437C2211yescharacteristic
170#1437C2211yescharacteristic
171#1437C2211yescharacteristic
172#1437C2211yescharacteristic, complemented
173#1436C2211yescharacteristic, complemented
174#1436C2211yescharacteristic, complemented
175#1436C2211yescharacteristic, complemented
176#1436C2211yescharacteristic, complemented
177#1436C2211yescharacteristic, complemented
178#1436C2211yescharacteristic, complemented
179C4⋊#95C2211yescharacteristic, complemented
180C4⋊#95C2211yescharacteristic, complemented
181#1434C2211yescharacteristic, complemented
182#1434C2211yescharacteristic, complemented
183#1434C2211yescharacteristic, complemented
184#1434C2211yescharacteristic, complemented
185#1434C2211yescharacteristic, complemented
186C22⋊#95C2211yescharacteristic
187C22⋊#95C2211yescharacteristic
188C22⋊#95C2211yescharacteristic
189C22⋊#95C2211yescharacteristic
190C22⋊#95C2211yescharacteristic, complemented
191C22⋊#95C2211yescharacteristic, complemented
192C22⋊#95C2211yescharacteristic, complemented
193C26C2311yescharacteristic
194C23×D4C2311yescharacteristic
195C23×D4C2311yescharacteristic
196C23×D4C2311yescharacteristic
197C23×D4C2311yescharacteristic
198C23×D4C2311yescharacteristic
199C23×D4C2311yescharacteristic
200C23×D4C2311yescharacteristic
201C24×C4C2311yescharacteristic
202C24×C4C2311yescharacteristic
203C24×C4C2311yescharacteristic
204C24×C4C2311yescharacteristic
205C24×C4C2311yescharacteristic
206C24×C4C2311yescharacteristic
207C24×C4C2311yescharacteristic
208C24×C4C2311yescharacteristic
209C2×#123—24no—
210C2×#123—24no—
211C2×#123—24no—
212C2×#123—24no—
213C2×#123—42no—
214C2×#123D418yescomplemented
215C2×#121—24no—
216C2×#121—24no—
217C2×#121—24no—
218C2×#120—24no—
219C2×#120—24no—
220C2×#120—24no—
221C2×#120—24no—
222C2×#120—24no—
223C2×#120—42no—
224C2×C4×D4—24no—
225C2×C4×D4—24no—
226C2×C4×D4—24no—
227C2×C4×D4—24no—
228C2×C4×D4—24no—
229C2×C4×D4—24no—
230C2×C4×D4—24no—
231C2×C4×D4—24no—
232C2×C4×D4—24no—
233C2×C4×D4—24no—
234C2×C4×D4—24no—
235C2×C4×D4—42no—
236C2×C4×D4—42no—
237C2×C4×D4—42no—
238C2×C4×D4—42no—
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×C4⋊C4C2311yescharacteristic
254C22×C4⋊C4C2311yescharacteristic
255C22×C4⋊C4C2311yescharacteristic
256C22×C4⋊C4C2311yescharacteristic
257C22×C4⋊C4C2311yescharacteristic
258C22×C4⋊C4C2311yescharacteristic
259C22×C4⋊C4C2311yescharacteristic
260C22×C22⋊C4—24no—
261C22×C22⋊C4—24no—
262C22×C22⋊C4—24no—
263C22×C22⋊C4—24no—
264C22×C22⋊C4—24no—
265C22×C22⋊C4—42no—
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×C42—24no—
317C22×C42—24no—
318C22×C42—42no—
319C22×C42C2311yescharacteristic
320C22×C42C2311yescharacteristic
321C22×C42C2311yescharacteristic
322C22×C42C2311yescharacteristic
323C22×C42C2311yescharacteristic
324C22×C42C2311yescharacteristic
325C22×C42C2311yescharacteristic
326C22×C42C2311yescharacteristic
327C22×C42C2311yescharacteristic
328C22×C42C2311yescharacteristic
329#399—24no—
330#399—24no—
331#397—24no—
332#397—42no—
333#396—24no—
334#396—24no—
335#396—24no—
336#394—24no—
337#394—24no—
338#394—24no—
339#394—24no—
340#394—24no—
341#394—24no—
342#394—24no—
343#392—24no—
344#392—42no—
345#390—24no—
346#390—24no—
347#389—24no—
348#389—24no—
349#389—24no—
350#388—24no—
351#388—24no—
352#388—24no—
353#388—24no—
354#388—24no—
355#388—24no—
356#388—24no—
357#388—24no—
358#388—24no—
359#388—24no—
360#388—24no—
361#388—24no—
362#388—42no—
363#388—42no—
364#387—24no—
365#387—24no—
366#386—24no—
367#386—24no—
368#386—24no—
369#386—24no—
370#386—24no—
371#386—24no—
372#386—24no—
373#386—24no—
374#386—24no—
375#386D418yescomplemented
376#385—24no—
377#385—24no—
378#385—24no—
379#385—24no—
380#385—24no—
381#385—24no—
382#385—24no—
383#381—24no—
384#381—24no—
385#380—24no—
386#380—24no—
387#380—24no—
388#380—24no—
389#379—24no—
390#379—24no—
391#379—24no—
392C4×C4⋊C4—24no—
393C4×C4⋊C4—24no—
394C4×C4⋊C4—24no—
395C4×C22⋊C4—24no—
396C4×C22⋊C4—24no—
397C4×C22⋊C4—24no—
398C4×C22⋊C4—24no—
399C4×C22⋊C4—24no—
400C4×C22⋊C4D418yescomplemented
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
443C2×#95C2311yescharacteristic
444C2×#95C2311yescharacteristic
445C2×#95C2311yescharacteristic
446C2×#95C2311yescharacteristic
447C2×#95C2311yescharacteristic
448C2×#95C2311yescharacteristic
449C2×#95C2311yescharacteristic
450C2×#95C2311yescharacteristic
451C2×#95C2311yescharacteristic
452C2×#95C2311yescharacteristic
453C2×#95C2311yescharacteristic
454C2×#95C2311yescharacteristic
455C2×#95C2311yescharacteristic
456C2×#95C2311yescharacteristic
457C2×#95C2311yescharacteristic
458C2×#95C2311yescharacteristic
459C25—22no—
460C25—22no—
461C25—22no—
462C25—22no—
463C25—22no—
464C25—22no—
465C25—22no—
466C25—41no—
467C25—41no—
468C25—41no—
469C25—41no—
470C25—41no—
471C25—41no—
472C25—41no—
473C25—41no—
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—41no—
509C22×D4—41no—
510C22×D4—41no—
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×D4C2×D414yes—
526C22×D4C2×D414yes—
527C22×D4#4114yes—
528C23×C4—22no—
529C23×C4—22no—
530C23×C4—22no—
531C23×C4—22no—
532C23×C4—22no—
533C23×C4—22no—
534C23×C4—22no—
535C23×C4—22no—
536C23×C4—22no—
537C23×C4—22no—
538C23×C4—22no—
539C23×C4—22no—
540C23×C4—22no—
541C23×C4—22no—
542C23×C4—22no—
543C23×C4—22no—
544C23×C4—22no—
545C23×C4—22no—
546C23×C4—22no—
547C23×C4—22no—
548C23×C4—22no—
549C23×C4—22no—
550C23×C4—22no—
551C23×C4—22no—
552C23×C4—22no—
553C23×C4—22no—
554C23×C4—22no—
555C23×C4—22no—
556C23×C4—22no—
557C23×C4—41no—
558C23×C4—41no—
559C23×C4—41no—
560C23×C4—41no—
561C23×C4—41no—
562C23×C4—41no—
563C23×C4—41no—
564C23×C4—41no—
565C23×C4—41no—
566C23×C4—41no—
567C23×C4—41no—
568C23×C4—41no—
569C23×C4—41no—
570C23×C4—41no—
571C23×C4—41no—
572C23×C4—41no—
573C23×C4—41no—
574C23×C4—41no—
575C23×C4—41no—
576C23×C4—41no—
577C23×C4—41no—
578C23×C4—41no—
579C23×C4—41no—
580C23×C4—41no—
581C23×C4C2×D414yes—
582C23×C4C2×D414yes—
583C23×C4C2×D414yes—
584C23×C4C2411yescharacteristic
585C23×C4C2411yescharacteristic
586C23×C4C2411yescharacteristic
587C23×C4C2411yescharacteristic
588C23×C4C2411yescharacteristic
589C23×C4C2411yescharacteristic
590C23×C4C2411yescharacteristic
591C23×C4C2411yescharacteristic
592C23×C4C2411yescharacteristic
593C23×C4C2411yescharacteristic
594C23×C4C2411yescharacteristic
595C23×C4C2411yescharacteristic
596C23×C4C2411yescharacteristic
597C23×C4C2411yescharacteristic
598C23×C4C2411yescharacteristic
599C23×C4C2411yescharacteristic
600C23×C4C2411yescharacteristic
601C23×C4C2411yescharacteristic
602C23×C4C2411yescharacteristic
603C23×C4C2411yescharacteristic
604C23×C4C2411yescharacteristic
605C23×C4C2411yescharacteristic
606C23×C4C2411yescharacteristic
607C23×C4C2411yescharacteristic
608C23×C4C2411yescharacteristic
609C23×C4C2411yescharacteristic
610#123—232no—
611#123—416no—
612#121—232no—
613#120—232no—
614#120—416no—
615C4×D4—416no—
616C4×D4—416no—
617C4×D4—416no—
618C4×D4—416no—
619C4×D4—416no—
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—22no—
629C2×C4⋊C4—22no—
630C2×C4⋊C4—22no—
631C2×C4⋊C4—22no—
632C2×C4⋊C4—22no—
633C2×C4⋊C4—22no—
634C2×C4⋊C4—22no—
635C2×C4⋊C4—22no—
636C2×C4⋊C4—22no—
637C2×C4⋊C4—22no—
638C2×C4⋊C4—22no—
639C2×C4⋊C4—22no—
640C2×C4⋊C4—22no—
641C2×C4⋊C4—22no—
642C2×C4⋊C4—22no—
643C2×C4⋊C4—22no—
644C2×C4⋊C4—22no—
645C2×C4⋊C4—22no—
646C2×C4⋊C4—22no—
647C2×C4⋊C4—22no—
648C2×C4⋊C4—22no—
649C2×C4⋊C4—22no—
650C2×C4⋊C4—22no—
651C2×C4⋊C4—22no—
652C2×C4⋊C4—22no—
653C2×C4⋊C4—22no—
654C2×C4⋊C4—22no—
655C2×C4⋊C4—22no—
656C2×C4⋊C4—22no—
657C2×C4⋊C4—22no—
658C2×C4⋊C4—22no—
659C2×C4⋊C4—41no—
660C2×C4⋊C4—41no—
661C2×C4⋊C4—41no—
662C2×C4⋊C4—41no—
663C2×C4⋊C4—41no—
664C2×C4⋊C4—41no—
665C2×C4⋊C4—41no—
666C2×C4⋊C4—41no—
667C2×C4⋊C4—41no—
668C2×C4⋊C4—41no—
669C2×C4⋊C4—41no—
670C2×C4⋊C4—41no—
671C2×C4⋊C4—41no—
672C2×C4⋊C4—41no—
673C2×C4⋊C4—41no—
674C2×C4⋊C4—41no—
675C2×C4⋊C4—41no—
676C2×C4⋊C4—41no—
677C2×C4⋊C4—41no—
678C2×C4⋊C4—41no—
679C2×C4⋊C4—41no—
680C2×C4⋊C4—41no—
681C2×C4⋊C4C2×D414yes—
682C2×C4⋊C4C2×D414yes—
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—22no—
731C2×C22⋊C4—22no—
732C2×C22⋊C4—22no—
733C2×C22⋊C4—22no—
734C2×C22⋊C4—22no—
735C2×C22⋊C4—22no—
736C2×C22⋊C4—22no—
737C2×C22⋊C4—22no—
738C2×C22⋊C4—22no—
739C2×C22⋊C4—22no—
740C2×C22⋊C4—22no—
741C2×C22⋊C4—22no—
742C2×C22⋊C4—22no—
743C2×C22⋊C4—22no—
744C2×C22⋊C4—22no—
745C2×C22⋊C4—22no—
746C2×C22⋊C4—22no—
747C2×C22⋊C4—22no—
748C2×C22⋊C4—22no—
749C2×C22⋊C4—22no—
750C2×C22⋊C4—22no—
751C2×C22⋊C4—22no—
752C2×C22⋊C4—22no—
753C2×C22⋊C4—22no—
754C2×C22⋊C4—22no—
755C2×C22⋊C4—22no—
756C2×C22⋊C4—22no—
757C2×C22⋊C4—22no—
758C2×C22⋊C4—22no—
759C2×C22⋊C4—22no—
760C2×C22⋊C4—22no—
761C2×C22⋊C4—22no—
762C2×C22⋊C4—22no—
763C2×C22⋊C4—22no—
764C2×C22⋊C4—22no—
765C2×C22⋊C4—22no—
766C2×C22⋊C4—22no—
767C2×C22⋊C4—22no—
768C2×C22⋊C4—22no—
769C2×C22⋊C4—22no—
770C2×C22⋊C4—22no—
771C2×C22⋊C4—22no—
772C2×C22⋊C4—22no—
773C2×C22⋊C4—22no—
774C2×C22⋊C4—22no—
775C2×C22⋊C4—22no—
776C2×C22⋊C4—22no—
777C2×C22⋊C4—22no—
778C2×C22⋊C4—416no—
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—416no—
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⋊C4C2×D414yes—
825C2×C22⋊C4C2×D414yes—
826C2×C22⋊C4C2×D414yes—
827C2×C22⋊C4C2×D414yes—
828C2×C22⋊C4C2×D414yes—
829C2×C22⋊C4C2×D414yes—
830C2×C22⋊C4C2×D414yes—
831C2×C22⋊C4C2×D414yes—
832C2×C22⋊C4#4114yes—
833C2×C22⋊C4#4114yes—
834C2×C22⋊C4#4114yes—
835C2×C42—22no—
836C2×C42—22no—
837C2×C42—22no—
838C2×C42—22no—
839C2×C42—22no—
840C2×C42—22no—
841C2×C42—22no—
842C2×C42—22no—
843C2×C42—22no—
844C2×C42—22no—
845C2×C42—22no—
846C2×C42—22no—
847C2×C42—22no—
848C2×C42—22no—
849C2×C42—22no—
850C2×C42—22no—
851C2×C42—22no—
852C2×C42—22no—
853C2×C42—22no—
854C2×C42—22no—
855C2×C42—416no—
856C2×C42—41no—
857C2×C42—41no—
858C2×C42—41no—
859C2×C42—41no—
860C2×C42—41no—
861C2×C42—41no—
862C2×C42—41no—
863C2×C42—41no—
864C2×C42C2×D414yes—
865C2×C42C2×D414yes—
866#95—22no—
867#95—22no—
868#95—22no—
869#95—22no—
870#95—22no—
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—22no—
894#95—22no—
895#95—22no—
896#95—22no—
897#95—22no—
898#95—22no—
899#95—22no—
900#95—22no—
901#95—22no—
902#95—22no—
903#95—22no—
904#95—22no—
905#95—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#95—41no—
919#95—41no—
920#95C2×D414yes—
921#95C2×D414yes—
922#95C2×D414yes—
923#95C2×D414yes—
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—28no—
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—44no—
990C24—44no—
991C24—44no—
992C24—44no—
993C24—44no—
994C24—44no—
995C24—44no—
996C24—44no—
997C24—44no—
998C24—44no—
999C24—44no—
1000C24—44no—
1001C24—44no—
1002C24—44no—
1003C24—44no—
1004C24—44no—
1005C24—82no—
1006C24—82no—
1007C24—82no—
1008C24—82no—
1009C24—82no—
1010C24—82no—
1011C24—82no—
1012C24—82no—
1013C24—82no—
1014C24—82no—
1015C24—82no—
1016C24—82no—
1017C24—82no—
1018C24—82no—
1019C24—82no—
1020C24—82no—
1021C24—82no—
1022C24—82no—
1023C24C22×D412yes—
1024C24C22×D412yes—
1025C24C22×D412yes—
1026C24C22×D412yes—
1027C24C22×D412yes—
1028C24C2×#4112yes—
1029C24C2×#4112yes—
1030C24C2×#4112yes—
1031C24C2×#4112yes—
1032C24C2×#4112yes—
1033C24H(5,𝔽2)12yes—
1034C24C2511yescharacteristic
1035C2×D4—28no—
1036C2×D4—28no—
1037C2×D4—28no—
1038C2×D4—28no—
1039C2×D4—28no—
1040C2×D4—28no—
1041C2×D4—28no—
1042C2×D4—28no—
1043C2×D4—28no—
1044C2×D4—44no—
1045C2×D4—44no—
1046C2×D4—44no—
1047C2×D4—44no—
1048C2×D4—44no—
1049C2×D4—44no—
1050C2×D4—44no—
1051C2×D4—44no—
1052C2×D4—44no—
1053C2×D4—44no—
1054C2×D4—44no—
1055C2×D4—44no—
1056C2×D4—44no—
1057C2×D4—44no—
1058C2×D4—44no—
1059C2×D4—44no—
1060C2×D4—44no—
1061C2×D4—44no—
1062C2×D4—44no—
1063C2×D4—44no—
1064C2×D4—44no—
1065C2×D4—44no—
1066C2×D4—44no—
1067C2×D4—44no—
1068C2×D4—44no—
1069C2×D4—44no—
1070C2×D4—44no—
1071C2×D4—44no—
1072C2×D4—44no—
1073C2×D4—44no—
1074C2×D4—44no—
1075C2×D4—82no—
1076C2×D4—82no—
1077C2×D4—82no—
1078C2×D4—82no—
1079C2×D4—82no—
1080C2×D4—82no—
1081C2×D4—82no—
1082C2×D4—82no—
1083C2×D4—82no—
1084C22×C4—21no—
1085C22×C4—21no—
1086C22×C4—21no—
1087C22×C4—21no—
1088C22×C4—21no—
1089C22×C4—21no—
1090C22×C4—21no—
1091C22×C4—21no—
1092C22×C4—21no—
1093C22×C4—21no—
1094C22×C4—21no—
1095C22×C4—21no—
1096C22×C4—21no—
1097C22×C4—21no—
1098C22×C4—21no—
1099C22×C4—21no—
1100C22×C4—28no—
1101C22×C4—28no—
1102C22×C4—21no—
1103C22×C4—21no—
1104C22×C4—21no—
1105C22×C4—21no—
1106C22×C4—21no—
1107C22×C4—21no—
1108C22×C4—21no—
1109C22×C4—21no—
1110C22×C4—21no—
1111C22×C4—21no—
1112C22×C4—21no—
1113C22×C4—21no—
1114C22×C4—21no—
1115C22×C4—21no—
1116C22×C4—21no—
1117C22×C4—21no—
1118C22×C4—21no—
1119C22×C4—21no—
1120C22×C4—21no—
1121C22×C4—21no—
1122C22×C4—21no—
1123C22×C4—21no—
1124C22×C4—21no—
1125C22×C4—21no—
1126C22×C4—21no—
1127C22×C4—21no—
1128C22×C4—21no—
1129C22×C4—21no—
1130C22×C4—21no—
1131C22×C4—21no—
1132C22×C4—21no—
1133C22×C4—21no—
1134C22×C4—21no—
1135C22×C4—21no—
1136C22×C4—21no—
1137C22×C4—21no—
1138C22×C4—21no—
1139C22×C4—21no—
1140C22×C4—21no—
1141C22×C4—21no—
1142C22×C4—21no—
1143C22×C4—21no—
1144C22×C4—21no—
1145C22×C4—21no—
1146C22×C4—21no—
1147C22×C4—21no—
1148C22×C4—21no—
1149C22×C4—21no—
1150C22×C4—21no—
1151C22×C4—21no—
1152C22×C4—21no—
1153C22×C4—21no—
1154C22×C4—21no—
1155C22×C4—21no—
1156C22×C4—21no—
1157C22×C4—21no—
1158C22×C4—21no—
1159C22×C4—21no—
1160C22×C4—21no—
1161C22×C4—21no—
1162C22×C4—21no—
1163C22×C4—21no—
1164C22×C4—21no—
1165C22×C4—21no—
1166C22×C4—21no—
1167C22×C4—21no—
1168C22×C4—21no—
1169C22×C4—21no—
1170C22×C4—21no—
1171C22×C4—21no—
1172C22×C4—21no—
1173C22×C4—21no—
1174C22×C4—28no—
1175C22×C4—28no—
1176C22×C4—28no—
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—21no—
1209C22×C4—21no—
1210C22×C4—21no—
1211C22×C4—21no—
1212C22×C4—21no—
1213C22×C4—21no—
1214C22×C4—21no—
1215C22×C4—21no—
1216C22×C4—21no—
1217C22×C4—21no—
1218C22×C4—21no—
1219C22×C4—21no—
1220C22×C4—21no—
1221C22×C4—21no—
1222C22×C4—21no—
1223C22×C4—21no—
1224C22×C4—21no—
1225C22×C4—21no—
1226C22×C4—21no—
1227C22×C4—21no—
1228C22×C4—21no—
1229C22×C4—21no—
1230C22×C4—21no—
1231C22×C4—21no—
1232C22×C4—21no—
1233C22×C4—21no—
1234C22×C4—21no—
1235C22×C4—21no—
1236C22×C4—21no—
1237C22×C4—21no—
1238C22×C4—21no—
1239C22×C4—21no—
1240C22×C4—21no—
1241C22×C4—21no—
1242C22×C4—21no—
1243C22×C4—21no—
1244C22×C4—21no—
1245C22×C4—21no—
1246C22×C4—21no—
1247C22×C4—44no—
1248C22×C4—44no—
1249C22×C4—44no—
1250C22×C4—44no—
1251C22×C4—44no—
1252C22×C4—44no—
1253C22×C4—44no—
1254C22×C4—44no—
1255C22×C4—44no—
1256C22×C4—44no—
1257C22×C4—44no—
1258C22×C4—44no—
1259C22×C4—44no—
1260C22×C4—44no—
1261C22×C4—44no—
1262C22×C4—44no—
1263C22×C4—44no—
1264C22×C4—44no—
1265C22×C4—44no—
1266C22×C4—44no—
1267C22×C4—44no—
1268C22×C4—44no—
1269C22×C4—44no—
1270C22×C4—44no—
1271C22×C4—44no—
1272C22×C4—44no—
1273C22×C4—44no—
1274C22×C4—44no—
1275C22×C4—44no—
1276C22×C4—44no—
1277C22×C4—44no—
1278C22×C4—44no—
1279C22×C4—44no—
1280C22×C4—44no—
1281C22×C4—44no—
1282C22×C4—82no—
1283C22×C4—82no—
1284C22×C4—82no—
1285C22×C4—82no—
1286C22×C4—82no—
1287C22×C4—82no—
1288C22×C4—82no—
1289C22×C4—82no—
1290C22×C4—82no—
1291C22×C4—82no—
1292C22×C4—82no—
1293C22×C4—82no—
1294C22×C4—82no—
1295C22×C4—82no—
1296C22×C4—82no—
1297C22×C4—82no—
1298C22×C4C22×D412yes—
1299C22×C4C22×D412yes—
1300C22×C4C22×D412yes—
1301C22×C4C22×D412yes—
1302C22×C4C22×D412yes—
1303C22×C4C22×D412yes—
1304C22×C4C22×D412yes—
1305C22×C4C22×D412yes—
1306C22×C4C22×D412yes—
1307C22×C4C22×D412yes—
1308C22×C4C22×D412yes—
1309C22×C4C22×D412yes—
1310C22×C4C22×D412yes—
1311C22×C4C22×D412yes—
1312C22×C4C22×D412yes—
1313C22×C4C22×D412yes—
1314C22×C4C2×#4112yes—
1315C22×C4C2×#4112yes—
1316C22×C4C2×#4112yes—
1317C22×C4C2×#4112yes—
1318C22×C4C2×#4112yes—
1319C22×C4C2×#4112yes—
1320C22×C4C2×#4112yes—
1321C22×C4H(5,𝔽2)12yes—
1322C4⋊C4—28no—
1323C4⋊C4—28no—
1324C4⋊C4—28no—
1325C4⋊C4—44no—
1326C4⋊C4—44no—
1327C4⋊C4—44no—
1328C4⋊C4—44no—
1329C4⋊C4—44no—
1330C4⋊C4—44no—
1331C4⋊C4—44no—
1332C4⋊C4—44no—
1333C4⋊C4—44no—
1334C4⋊C4—44no—
1335C4⋊C4—44no—
1336C4⋊C4—44no—
1337C4⋊C4—82no—
1338C4⋊C4—82no—
1339C4⋊C4—82no—
1340C4⋊C4—82no—
1341C4⋊C4—82no—
1342C4⋊C4—82no—
1343C22⋊C4—28no—
1344C22⋊C4—28no—
1345C22⋊C4—28no—
1346C22⋊C4—28no—
1347C22⋊C4—28no—
1348C22⋊C4—28no—
1349C22⋊C4—28no—
1350C22⋊C4—28no—
1351C22⋊C4—28no—
1352C22⋊C4—44no—
1353C22⋊C4—44no—
1354C22⋊C4—44no—
1355C22⋊C4—44no—
1356C22⋊C4—44no—
1357C22⋊C4—44no—
1358C22⋊C4—44no—
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—44no—
1381C22⋊C4—44no—
1382C22⋊C4—44no—
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#121116yescomplemented
1393C42—28no—
1394C42—44no—
1395C42—44no—
1396C42—44no—
1397C42—44no—
1398C42—44no—
1399C42—44no—
1400C42—44no—
1401C42—44no—
1402C42—44no—
1403C23—22no—
1404C23—22no—
1405C23—22no—
1406C23—22no—
1407C23—22no—
1408C23—22no—
1409C23—22no—
1410C23—22no—
1411C23—22no—
1412C23—22no—
1413C23—22no—
1414C23—22no—
1415C23—22no—
1416C23—22no—
1417C23—22no—
1418C23—22no—
1419C23—22no—
1420C23—22no—
1421C23—22no—
1422C23—22no—
1423C23—22no—
1424C23—22no—
1425C23—22no—
1426C23—22no—
1427C23—22no—
1428C23—22no—
1429C23—22no—
1430C23—22no—
1431C23—22no—
1432C23—22no—
1433C23—22no—
1434C23—22no—
1435C23—22no—
1436C23—22no—
1437C23—22no—
1438C23—22no—
1439C23—22no—
1440C23—22no—
1441C23—22no—
1442C23—22no—
1443C23—22no—
1444C23—22no—
1445C23—22no—
1446C23—22no—
1447C23—22no—
1448C23—22no—
1449C23—22no—
1450C23—22no—
1451C23—22no—
1452C23—22no—
1453C23—22no—
1454C23—22no—
1455C23—22no—
1456C23—22no—
1457C23—22no—
1458C23—22no—
1459C23—22no—
1460C23—22no—
1461C23—22no—
1462C23—22no—
1463C23—22no—
1464C23—22no—
1465C23—22no—
1466C23—22no—
1467C23—22no—
1468C23—22no—
1469C23—22no—
1470C23—22no—
1471C23—416no—
1472C23—416no—
1473C23—41no—
1474C23—41no—
1475C23—41no—
1476C23—41no—
1477C23—41no—
1478C23—41no—
1479C23—41no—
1480C23—41no—
1481C23—41no—
1482C23—41no—
1483C23—41no—
1484C23—41no—
1485C23—41no—
1486C23—41no—
1487C23—41no—
1488C23—41no—
1489C23—41no—
1490C23—41no—
1491C23—41no—
1492C23—41no—
1493C23—41no—
1494C23—41no—
1495C23—41no—
1496C23—41no—
1497C23—41no—
1498C23—41no—
1499C23—41no—
1500C23—41no—
1501C23—41no—
1502C23—41no—
1503C23—41no—
1504C23—41no—
1505C23—41no—
1506C23—41no—
1507C23—41no—
1508C23—41no—
1509C23—41no—
1510C23—41no—
1511C23—41no—
1512C23—41no—
1513C23—41no—
1514C23—41no—
1515C23—41no—
1516C23—41no—
1517C23—41no—
1518C23—41no—
1519C23—41no—
1520C23—41no—
1521C23—41no—
1522C23—41no—
1523C23—41no—
1524C23—41no—
1525C23—41no—
1526C23—41no—
1527C23—41no—
1528C23—41no—
1529C23—41no—
1530C23—41no—
1531C23—41no—
1532C23—41no—
1533C23—41no—
1534C23—41no—
1535C23—41no—
1536C23—41no—
1537C23—41no—
1538C23—41no—
1539C23—41no—
1540C23—41no—
1541C23—41no—
1542C23—41no—
1543C23—41no—
1544C23—41no—
1545C23—41no—
1546C23—41no—
1547C23—41no—
1548C23—41no—
1549C23—41no—
1550C23—41no—
1551C23—41no—
1552C23—41no—
1553C23—41no—
1554C23—41no—
1555C23—41no—
1556C23—41no—
1557C23—41no—
1558C23—41no—
1559C23—41no—
1560C23—41no—
1561C23—41no—
1562C23—41no—
1563C23—41no—
1564C23—41no—
1565C23—41no—
1566C23—41no—
1567C23—41no—
1568C23—41no—
1569C23—41no—
1570C23—41no—
1571C23—41no—
1572C23—41no—
1573C23—41no—
1574C23—41no—
1575C23—41no—
1576C23—41no—
1577C23—88no—
1578C23—88no—
1579C23—88no—
1580C23—88no—
1581C23—88no—
1582C23—88no—
1583C23—88no—
1584C23—88no—
1585C23—88no—
1586C23—88no—
1587C23—88no—
1588C23—88no—
1589C23—88no—
1590C23C2×#12114yes—
1591C23#52514yes—
1592C23D4214yes—
1593C23C23×D411yescharacteristic
1594C23C23×D411yescharacteristic
1595C23C23×D411yescharacteristic
1596C23C22×#4111yescharacteristic
1597C23C22×#4111yescharacteristic
1598C23C22×#4111yescharacteristic
1599C23C22×#4111yescharacteristic
1600C23C2×H(5,𝔽2)11yescharacteristic
1601C23C2×H(5,𝔽2)11yescharacteristic
1602C23#58511yescharacteristic
1603C23#58511yescharacteristic
1604C23#58511yescharacteristic
1605C23#58511yescharacteristic
1606C23#58511yescharacteristic
1607C23#58511yescharacteristic
1608D4—416no—
1609D4—416no—
1610D4—416no—
1611D4—416no—
1612D4—416no—
1613D4—88no—
1614D4—88no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—22no—
1638C2×C4—22no—
1639C2×C4—22no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—22no—
1646C2×C4—22no—
1647C2×C4—22no—
1648C2×C4—22no—
1649C2×C4—22no—
1650C2×C4—22no—
1651C2×C4—22no—
1652C2×C4—22no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—22no—
1662C2×C4—22no—
1663C2×C4—22no—
1664C2×C4—22no—
1665C2×C4—22no—
1666C2×C4—22no—
1667C2×C4—22no—
1668C2×C4—22no—
1669C2×C4—22no—
1670C2×C4—22no—
1671C2×C4—22no—
1672C2×C4—22no—
1673C2×C4—22no—
1674C2×C4—22no—
1675C2×C4—416no—
1676C2×C4—416no—
1677C2×C4—416no—
1678C2×C4—41no—
1679C2×C4—41no—
1680C2×C4—41no—
1681C2×C4—41no—
1682C2×C4—41no—
1683C2×C4—41no—
1684C2×C4—41no—
1685C2×C4—41no—
1686C2×C4—41no—
1687C2×C4—41no—
1688C2×C4—41no—
1689C2×C4—41no—
1690C2×C4—41no—
1691C2×C4—41no—
1692C2×C4—41no—
1693C2×C4—41no—
1694C2×C4—41no—
1695C2×C4—41no—
1696C2×C4—41no—
1697C2×C4—41no—
1698C2×C4—41no—
1699C2×C4—41no—
1700C2×C4—41no—
1701C2×C4—41no—
1702C2×C4—41no—
1703C2×C4—41no—
1704C2×C4—41no—
1705C2×C4—41no—
1706C2×C4—41no—
1707C2×C4—41no—
1708C2×C4—41no—
1709C2×C4—41no—
1710C2×C4—41no—
1711C2×C4—41no—
1712C2×C4—41no—
1713C2×C4—41no—
1714C2×C4—41no—
1715C2×C4—41no—
1716C2×C4—41no—
1717C2×C4—41no—
1718C2×C4—41no—
1719C2×C4—41no—
1720C2×C4—41no—
1721C2×C4—41no—
1722C2×C4—41no—
1723C2×C4—41no—
1724C2×C4—41no—
1725C2×C4—41no—
1726C2×C4—41no—
1727C2×C4—41no—
1728C2×C4—41no—
1729C2×C4—41no—
1730C2×C4—41no—
1731C2×C4—41no—
1732C2×C4—41no—
1733C2×C4—41no—
1734C2×C4—41no—
1735C2×C4—41no—
1736C2×C4—41no—
1737C2×C4—41no—
1738C2×C4—41no—
1739C2×C4—41no—
1740C2×C4—41no—
1741C2×C4—41no—
1742C2×C4—41no—
1743C2×C4—41no—
1744C2×C4—41no—
1745C2×C4—41no—
1746C2×C4—41no—
1747C2×C4—41no—
1748C2×C4—41no—
1749C2×C4—41no—
1750C2×C4—41no—
1751C2×C4—41no—
1752C2×C4—41no—
1753C2×C4—41no—
1754C2×C4—41no—
1755C2×C4—41no—
1756C2×C4—41no—
1757C2×C4—41no—
1758C2×C4—41no—
1759C2×C4—41no—
1760C2×C4—41no—
1761C2×C4—41no—
1762C2×C4—41no—
1763C2×C4—41no—
1764C2×C4—41no—
1765C2×C4—41no—
1766C2×C4—41no—
1767C2×C4—41no—
1768C2×C4—41no—
1769C2×C4—41no—
1770C2×C4—41no—
1771C2×C4—41no—
1772C2×C4—41no—
1773C2×C4—41no—
1774C2×C4—41no—
1775C2×C4—41no—
1776C2×C4—41no—
1777C2×C4—41no—
1778C2×C4—41no—
1779C2×C4—41no—
1780C2×C4—41no—
1781C2×C4—41no—
1782C2×C4—41no—
1783C2×C4—41no—
1784C2×C4—41no—
1785C2×C4—41no—
1786C2×C4—41no—
1787C2×C4—41no—
1788C2×C4—41no—
1789C2×C4—41no—
1790C2×C4—41no—
1791C2×C4—41no—
1792C2×C4—41no—
1793C2×C4—41no—
1794C2×C4—41no—
1795C2×C4—41no—
1796C2×C4—88no—
1797C2×C4—88no—
1798C2×C4—88no—
1799C2×C4—88no—
1800C2×C4—88no—
1801C2×C4C2×#12114yes—
1802C2×C4C2×#12114yes—
1803C2×C4#52514yes—
1804C2×C4D4214yes—
1805C22—24no—
1806C22—24no—
1807C22—24no—
1808C22—24no—
1809C22—24no—
1810C22—24no—
1811C22—24no—
1812C22—24no—
1813C22—24no—
1814C22—42no—
1815C22—42no—
1816C22—42no—
1817C22—42no—
1818C22—42no—
1819C22—42no—
1820C22—42no—
1821C22—42no—
1822C22—42no—
1823C22—42no—
1824C22—42no—
1825C22—42no—
1826C22—42no—
1827C22—42no—
1828C22—42no—
1829C22—42no—
1830C22—42no—
1831C22—42no—
1832C22—42no—
1833C22—42no—
1834C22—42no—
1835C22—42no—
1836C22—42no—
1837C22—42no—
1838C22—42no—
1839C22—42no—
1840C22—42no—
1841C22—42no—
1842C22—42no—
1843C22—42no—
1844C22—42no—
1845C22—42no—
1846C22—42no—
1847C22—42no—
1848C22—42no—
1849C22—42no—
1850C22—42no—
1851C22—42no—
1852C22—42no—
1853C22—42no—
1854C22—42no—
1855C22—42no—
1856C22—42no—
1857C22—42no—
1858C22—42no—
1859C22—42no—
1860C22—42no—
1861C22—42no—
1862C22—42no—
1863C22—42no—
1864C22—832no—
1865C22—81no—
1866C22—81no—
1867C22—81no—
1868C22—81no—
1869C22—81no—
1870C22—81no—
1871C22—81no—
1872C22—81no—
1873C22—81no—
1874C22—81no—
1875C22—81no—
1876C22—81no—
1877C22—81no—
1878C22—81no—
1879C22—81no—
1880C22—81no—
1881C22C22×#12111yescharacteristic
1882C22C2×#52511yescharacteristic
1883C22C2×#52511yescharacteristic
1884C22#344911yescharacteristic
1885C22#345911yescharacteristic
1886C22C2×D4211yescharacteristic
1887C22C2×D4211yescharacteristic
1888C22D4×#4111yescharacteristic
1889C22D4×#4111yescharacteristic
1890C22D4×#4111yescharacteristic
1891C22D4×#4111yescharacteristic
1892C22D4×#4111yescharacteristic
1893C22D4×#4111yescharacteristic
1894C22#347511yescharacteristic
1895C22#347511yescharacteristic
1896C22#347511yescharacteristic
1897C22#348111yescharacteristic
1898C22#348511yescharacteristic
1899C22#348511yescharacteristic
1900C22#348511yescharacteristic
1901C22#348811yescharacteristic
1902C22#349411yescharacteristic
1903C22#349611yescharacteristic
1904C22#350011yescharacteristic
1905C22#351011yescharacteristic
1906C22#351011yescharacteristic
1907C22#351311yescharacteristic
1908C22#351311yescharacteristic
1909C22#351911yescharacteristic
1910C22#352111yescharacteristic
1911C22#352111yescharacteristic
1912C22#353311yescharacteristic
1913C22#353311yescharacteristic
1914C22#356011yescharacteristic
1915C22#356611yescharacteristic
1916C4—24no—
1917C4—24no—
1918C4—24no—
1919C4—24no—
1920C4—42no—
1921C4—42no—
1922C4—42no—
1923C4—42no—
1924C4—42no—
1925C4—42no—
1926C4—42no—
1927C4—42no—
1928C4—42no—
1929C4—42no—
1930C4—42no—
1931C4—42no—
1932C4—81no—
1933C4—81no—
1934C4—81no—
1935C4—81no—
1936C4—81no—
1937C4—81no—
1938C4—81no—
1939C4—81no—
1940C4—81no—
1941C4—81no—
1942C2—44no—
1943C2—44no—
1944C2—44no—
1945C2—82no—
1946C2—82no—
1947C2#3465511yescharacteristic
1948C2#3493511yescharacteristic
1949C2#3552311yescharacteristic
1950C2D4×#12111yescharacteristic
1951C2#3609911yescharacteristic
1952C2#3621811yescharacteristic
1953C2#3622411yescharacteristic
1954C2#3765411yescharacteristic
1955C2#3910011yescharacteristic
1956C2#3944811yescharacteristic
1957C2#3987211yescharacteristic
1958C2#5912211yescharacteristic
1959C2#5918111yescharacteristic
1960C2#5959411yescharacteristic
1961C2#5984611yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
prime radical#15257C2
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×#2534C2semidirect
2. C2×#2455C2semidirect
3. C2×#2418C2semidirect
4. C2×#2358C2semidirect
5. C2×C4×#123C2semidirect
6. C2×C4×#121C2semidirect
7. #15398C2semidirect
8. #15365C2semidirect
9. #15335C2semidirect
10. #15303C2semidirect
11. #15274C2semidirect
12. #15269C2semidirect
13. #15268C2semidirect
15. #15160C2semidirect
16. #15159C2semidirect
17. #15084C2semidirect
18. #15002C2semidirect
19. #14756C2semidirect
20. #14752C2semidirect
21. #14731C2semidirect
22. #14730C2semidirect
23. #14696C2semidirect
24. #14200C2semidirect
25. #14176C2semidirect
26. #14068C2semidirect
27. #13994C2semidirect
28. #13991C2semidirect
29. #13891C2semidirect
30. #13886C2semidirect
31. #13873C2semidirect
41. C22×C4×D4C22semidirect
44. C23×C42C22semidirect
49. C2×#399C22semidirect
51. C2×#397C22semidirect
61. C2×#394C22semidirect
69. C2×#389C22semidirect
70. C2×#389C22semidirect
71. C2×#389C22semidirect
83. C2×#388C22semidirect
84. C2×#388C22semidirect
85. C2×#388C22semidirect
86. C2×#387C22semidirect
87. C2×#387C22semidirect
97. C2×#386C22semidirect
102. C2×#385C22semidirect
103. C2×#385C22semidirect
104. C2×#385C22semidirect
106. C2×#381C22semidirect
110. C2×#380C22semidirect
114. C2×C4×C4⋊C4C22semidirect
115. C2×C4×C4⋊C4C22semidirect
116. C2×C4×C4⋊C4C22semidirect
121. C2×C4×C22⋊C4C22semidirect
122. C2×C4×C22⋊C4C22semidirect
123. #1445C22semidirect
124. #1444C22semidirect
125. #1444C22semidirect
126. #1444C22semidirect
127. #1444C22semidirect
128. #1444C22semidirect
129. #1443C22semidirect
130. #1442C22semidirect
131. #1442C22semidirect
132. #1441C22semidirect
133. #1441C22semidirect
134. #1441C22semidirect
135. #1441C22semidirect
136. #1441C22semidirect
137. #1441C22semidirect
144. #1440C22semidirect
145. #1440C22semidirect
154. #1439C22semidirect
155. #1439C22semidirect
156. #1439C22semidirect
157. #1439C22semidirect
158. #1439C22semidirect
166. #1438C22semidirect
172. #1437C22semidirect
173. #1436C22semidirect
174. #1436C22semidirect
175. #1436C22semidirect
176. #1436C22semidirect
177. #1436C22semidirect
178. #1436C22semidirect
179. C4⋊#95C22semidirect
180. C4⋊#95C22semidirect
181. #1434C22semidirect
182. #1434C22semidirect
183. #1434C22semidirect
184. #1434C22semidirect
185. #1434C22semidirect
190. C22⋊#95C22semidirect
191. C22⋊#95C22semidirect
192. C22⋊#95C22semidirect
214. C2×#123D4semidirect
375. #386D4semidirect
400. C4×C22⋊C4D4semidirect
1392. C22⋊C4#121semidirect

Maximal subgroups

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

subgroupindex
C2×#25342
C2×#24552
C2×#24182
C2×#23582
C2×C4×#1232
C2×C4×#1212
#153982
#153652
#153352
#153032
#152742
#152692
#152682
#152572
#151602
#151592
#150842
#150022
#147562
#147522
#147312
#147302
#146962
#142002
#141762
#140682
#139942
#139912
#138912
#138862
#138732