Finite Group Databasebeta

← #648125

Subgroups — #648125

Order 512.

4350 conjugacy classes of subgroups.

The subgroup lattice has 1845 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2419C211yesmaximal, characteristic, complemented
2C2×#2418C211yesmaximal, characteristic
3C2×C4×#120C211yesmaximal, characteristic
4C22×#381C211yesmaximal, characteristic, complemented
5#15982C211yesmaximal, characteristic, complemented
6#15952C211yesmaximal, characteristic, complemented
7#15929C211yesmaximal, characteristic, complemented
8#15539C211yesmaximal, characteristic, complemented
9#15538C211yesmaximal, characteristic, complemented
10#15469C211yesmaximal, characteristic, complemented
11#15383C211yesmaximal, characteristic, complemented
12#15298C211yesmaximal, characteristic, complemented
13#14837C211yesmaximal, characteristic, complemented
14#14823C211yesmaximal, characteristic, complemented
15#14820C211yesmaximal, characteristic, complemented
16#14772C211yesmaximal, characteristic, complemented
17#14767C211yesmaximal, characteristic, complemented
18#14736C211yesmaximal, characteristic, complemented
19#14731C211yesmaximal, characteristic, complemented
20#14727C211yesmaximal, characteristic, complemented
21#14693C211yesmaximal, characteristic, complemented
22#14131C211yesmaximal, characteristic, complemented
23#14103C211yesmaximal, characteristic, complemented
24#14008C211yesmaximal, characteristic, complemented
25#13980C211yesmaximal, characteristic, complemented
26#13975C211yesmaximal, characteristic, complemented
27#13967C211yesmaximal, characteristic
28#13899C211yesmaximal, characteristic, complemented
29#13894C211yesmaximal, characteristic, complemented
30#13894C211yesmaximal, characteristic, complemented
31D4×#95C211yesmaximal, characteristic, complemented
32C25×C4C2211yescharacteristic
33C22×#123C2211yescharacteristic
34C22×#120C2211yescharacteristic
35C22×C4×D4C2211yescharacteristic
36C22×C4×D4C2211yescharacteristic
37C22×C4×D4C2211yescharacteristic
38C22×C4×D4C2211yescharacteristic
39C22×C4×D4C2211yescharacteristic
40C23×C22⋊C4C2211yescharacteristic
41C23×C22⋊C4C2211yescharacteristic
42#2419—28no—
43#2418—28no—
44C2×#400C2211yescharacteristic, complemented
45C2×#399C2211yescharacteristic
46C2×#398C2211yescharacteristic, complemented
47C2×#397C2211yescharacteristic
48C2×#397C2211yescharacteristic
49C2×#397C2211yescharacteristic
50C2×#397C2211yescharacteristic
51C2×#397C2211yescharacteristic
52C2×#394C2211yescharacteristic
53C2×#394C2211yescharacteristic
54C4×#120—28no—
55C2×#388C2211yescharacteristic
56C2×#388C2211yescharacteristic
57C2×#387C2211yescharacteristic, complemented
58C2×#387C2211yescharacteristic, complemented
59C2×#386C2211yescharacteristic
60C2×#386C2211yescharacteristic
61C2×#386C2211yescharacteristic
62C2×#386C2211yescharacteristic
63C2×#386C2211yescharacteristic
64C2×#386C2211yescharacteristic
65C2×#386C2211yescharacteristic
66C2×#386C2211yescharacteristic
67C2×#385C2211yescharacteristic
68C2×#385C2211yescharacteristic
69C2×#385C2211yescharacteristic
70C2×#385C2211yescharacteristic
71C2×#385C2211yescharacteristic
72C2×#385C2211yescharacteristic
73C2×#385C2211yescharacteristic
74C2×#385C2211yescharacteristic
75C2×#385C2211yescharacteristic
76C2×#385C2211yescharacteristic
77C2×#385C2211yescharacteristic
78C2×#385C2211yescharacteristic, complemented
79C2×#381—28no—
80C2×#381C2211yescharacteristic
81C2×#381C2211yescharacteristic
82C2×#381C2211yescharacteristic
83C2×#381C2211yescharacteristic
84C2×#381C2211yescharacteristic
85C2×#381C2211yescharacteristic
86C2×#381C2211yescharacteristic
87C2×#381C2211yescharacteristic
88C2×#381C2211yescharacteristic, complemented
89C2×#380C2211yescharacteristic
90C2×#380C2211yescharacteristic
91C2×#380C2211yescharacteristic, complemented
92C2×#379C2211yescharacteristic
93C2×#379C2211yescharacteristic
94C2×#379C2211yescharacteristic
95C2×C4×C22⋊C4C2211yescharacteristic
96C2×C4×C22⋊C4C2211yescharacteristic
97C2×C4×C22⋊C4C2211yescharacteristic
98C22×#95C2211yescharacteristic
99C22×#95C2211yescharacteristic
100C22×#95C2211yescharacteristic
101C22×#95C2211yescharacteristic
102C22×#95C2211yescharacteristic, complemented
103#1445C2211yescharacteristic, complemented
104#1445C2211yescharacteristic, complemented
105#1445C2211yescharacteristic, complemented
106#1445C2211yescharacteristic, complemented
107#1445C2211yescharacteristic, complemented
108#1445C2211yescharacteristic, complemented
109#1444C2211yescharacteristic, complemented
110#1444C2211yescharacteristic, complemented
111#1443C2211yescharacteristic, complemented
112#1443C2211yescharacteristic, complemented
113#1443C2211yescharacteristic, complemented
114#1443C2211yescharacteristic, complemented
115#1442C2211yescharacteristic, complemented
116#1442C2211yescharacteristic, complemented
117#1442C2211yescharacteristic, complemented
118#1442C2211yescharacteristic, complemented
119#1442C2211yescharacteristic, complemented
120#1442C2211yescharacteristic, complemented
121#1442C2211yescharacteristic, complemented
122#1442C2211yescharacteristic, complemented
123#1441C2211yescharacteristic, complemented
124#1441C2211yescharacteristic, complemented
125#1441C2211yescharacteristic, complemented
126#1441C2211yescharacteristic, complemented
127#1441C2211yescharacteristic, complemented
128#1441C2211yescharacteristic, complemented
129#1441C2211yescharacteristic, complemented
130#1441C2211yescharacteristic, complemented
131#1440C2211yescharacteristic
132#1440C2211yescharacteristic
133#1440C2211yescharacteristic
134#1440C2211yescharacteristic
135#1440C2211yescharacteristic
136#1440C2211yescharacteristic
137#1440C2211yescharacteristic
138#1440C2211yescharacteristic
139#1440C2211yescharacteristic, complemented
140#1440C2211yescharacteristic, complemented
141#1439C2211yescharacteristic
142#1439C2211yescharacteristic
143#1439C2211yescharacteristic
144#1439C2211yescharacteristic
145#1439C2211yescharacteristic
146#1439C2211yescharacteristic
147#1439C2211yescharacteristic, complemented
148#1439C2211yescharacteristic, complemented
149#1439C2211yescharacteristic, complemented
150#1439C2211yescharacteristic, complemented
151#1438C2211yescharacteristic
152#1438C2211yescharacteristic
153#1437C2211yescharacteristic
154#1437C2211yescharacteristic
155#1436C2211yescharacteristic, complemented
156#1436C2211yescharacteristic, complemented
157#1436C2211yescharacteristic, complemented
158#1436C2211yescharacteristic, complemented
159#1436C2211yescharacteristic, complemented
160#1436C2211yescharacteristic, complemented
161C4⋊#95C2211yescharacteristic, complemented
162C4⋊#95C2211yescharacteristic, complemented
163C4⋊#95C2211yescharacteristic, complemented
164C4⋊#95C2211yescharacteristic, complemented
165#1434C2211yescharacteristic, complemented
166#1434C2211yescharacteristic, complemented
167#1434C2211yescharacteristic, complemented
168#1434C2211yescharacteristic, complemented
169#1434C2211yescharacteristic, complemented
170C22⋊#95C2211yescharacteristic
171C22⋊#95C2211yescharacteristic
172C22⋊#95C2211yescharacteristic
173C22⋊#95C2211yescharacteristic
174C22⋊#95C2211yescharacteristic
175C22⋊#95C2211yescharacteristic
176C22⋊#95C2211yescharacteristic
177C22⋊#95C2211yescharacteristic
178C22⋊#95C2211yescharacteristic
179C22⋊#95C2211yescharacteristic
180C22⋊#95C2211yescharacteristic
181C22⋊#95C2211yescharacteristic
182C22⋊#95C2211yescharacteristic
183C22⋊#95C2211yescharacteristic
184C22⋊#95C2211yescharacteristic, complemented
185C22⋊#95C2211yescharacteristic, complemented
186C22⋊#95C2211yescharacteristic, complemented
187C22⋊#95C2211yescharacteristic, complemented
188C22⋊#95C2211yescharacteristic, complemented
189C22⋊#95C2211yescharacteristic, complemented
190C4×#95C2211yescharacteristic, complemented
191C26C2311yescharacteristic
192C23×D4C2311yescharacteristic
193C23×D4C2311yescharacteristic
194C23×D4C2311yescharacteristic
195C24×C4—24no—
196C24×C4—24no—
197C24×C4—24no—
198C24×C4—24no—
199C24×C4—42no—
200C24×C4—42no—
201C24×C4—42no—
202C24×C4C2311yescharacteristic
203C24×C4C2311yescharacteristic
204C24×C4C2311yescharacteristic
205C24×C4C2311yescharacteristic
206C24×C4C2311yescharacteristic
207C24×C4C2311yescharacteristic
208C24×C4C2311yescharacteristic
209C24×C4C2311yescharacteristic
210C24×C4C2311yescharacteristic
211C24×C4C2311yescharacteristic
212C24×C4C2311yescharacteristic
213C24×C4C2311yescharacteristic
214C24×C4C2311yescharacteristic
215C2×#123—24no—
216C2×#123—24no—
217C2×#123—42no—
218C2×#120—24no—
219C2×#120—24no—
220C2×#120D418yes—
221C2×C4×D4—24no—
222C2×C4×D4—24no—
223C2×C4×D4—24no—
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—42no—
233C2×C4×D4—42no—
234C2×C4×D4—42no—
235C2×C4×D4—42no—
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⋊C4—24no—
254C22×C22⋊C4—24no—
255C22×C22⋊C4—24no—
256C22×C22⋊C4—42no—
257C22×C22⋊C4—42no—
258C22×C22⋊C4—42no—
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×C42C2311yescharacteristic
298C22×C42C2311yescharacteristic
299C22×C42C2311yescharacteristic
300C22×C42C2311yescharacteristic
301C22×C42C2311yescharacteristic
302#400—24no—
303#399—24no—
304#398—24no—
305#397—24no—
306#397—24no—
307#397—24no—
308#397—42no—
309#397—42no—
310#394—24no—
311#394—24no—
312#388—24no—
313#388—24no—
314#387—24no—
315#387—24no—
316#386—24no—
317#386—24no—
318#386—24no—
319#386—24no—
320#386—24no—
321#386—24no—
322#386—24no—
323#386—42no—
324#385—24no—
325#385—24no—
326#385—24no—
327#385—24no—
328#385—24no—
329#385—24no—
330#385—24no—
331#385—24no—
332#385—24no—
333#385—42no—
334#385—42no—
335#385—42no—
336#381—24no—
337#381—24no—
338#381—24no—
339#381—24no—
340#381—24no—
341#381—24no—
342#381—24no—
343#381—24no—
344#381D418yescomplemented
345#380—24no—
346#380—24no—
347#380—42no—
348#379—24no—
349#379—24no—
350#379—24no—
351C4×C22⋊C4—24no—
352C4×C22⋊C4—24no—
353C4×C22⋊C4—24no—
354C2×#95—24no—
355C2×#95—24no—
356C2×#95—24no—
357C2×#95—24no—
358C2×#95—24no—
359C2×#95C2311yescharacteristic
360C2×#95C2311yescharacteristic
361C2×#95C2311yescharacteristic
362C2×#95C2311yescharacteristic
363C2×#95C2311yescharacteristic
364C2×#95C2311yescharacteristic
365C2×#95C2311yescharacteristic
366C2×#95C2311yescharacteristic
367C2×#95C2311yescharacteristic
368C2×#95C2311yescharacteristic
369C2×#95C2311yescharacteristic
370C2×#95C2311yescharacteristic
371C2×#95C2311yescharacteristic
372C2×#95C2311yescharacteristic
373C2×#95C2311yescharacteristic
374C2×#95C2311yescharacteristic
375C2×#95C2311yescharacteristic
376C2×#95C2311yescharacteristic
377C2×#95C2311yescharacteristic
378C2×#95C2311yescharacteristic
379C2×#95C2311yescharacteristic
380C2×#95C2311yescharacteristic
381C2×#95C2311yescharacteristic
382C2×#95C2311yescharacteristic
383C2×#95C2311yescharacteristic
384C2×#95C2311yescharacteristic
385C2×#95C2311yescharacteristic
386C2×#95C2311yescharacteristic
387C2×#95C2311yescharacteristic
388C2×#95C2311yescharacteristic
389C2×#95C2311yescharacteristic
390C2×#95C2311yescharacteristic
391C2×#95C2311yescharacteristic
392C2×#95C2311yescharacteristic
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
437C25—22no—
438C25—22no—
439C25—22no—
440C25—22no—
441C25—22no—
442C25—22no—
443C25—22no—
444C25—22no—
445C25—22no—
446C25—22no—
447C25—41no—
448C25—41no—
449C25—41no—
450C25—41no—
451C25C2×D414yes—
452C25C2411yescharacteristic
453C25C2411yescharacteristic
454C25C2411yescharacteristic
455C25C2411yescharacteristic
456C22×D4—22no—
457C22×D4—22no—
458C22×D4—22no—
459C22×D4—22no—
460C22×D4—22no—
461C22×D4—22no—
462C22×D4—22no—
463C22×D4—22no—
464C22×D4—22no—
465C22×D4—22no—
466C22×D4—22no—
467C22×D4—22no—
468C22×D4—41no—
469C22×D4—41no—
470C22×D4—41no—
471C22×D4—41no—
472C22×D4C2×D414yes—
473C22×D4C2×D414yes—
474C22×D4C2×D414yes—
475C22×D4#4114yes—
476C22×D4#4114yes—
477C23×C4—232no—
478C23×C4—22no—
479C23×C4—22no—
480C23×C4—22no—
481C23×C4—22no—
482C23×C4—22no—
483C23×C4—22no—
484C23×C4—22no—
485C23×C4—22no—
486C23×C4—22no—
487C23×C4—22no—
488C23×C4—22no—
489C23×C4—22no—
490C23×C4—22no—
491C23×C4—22no—
492C23×C4—22no—
493C23×C4—22no—
494C23×C4—22no—
495C23×C4—22no—
496C23×C4—22no—
497C23×C4—22no—
498C23×C4—22no—
499C23×C4—22no—
500C23×C4—22no—
501C23×C4—22no—
502C23×C4—22no—
503C23×C4—22no—
504C23×C4—22no—
505C23×C4—22no—
506C23×C4—22no—
507C23×C4—22no—
508C23×C4—22no—
509C23×C4—22no—
510C23×C4—22no—
511C23×C4—22no—
512C23×C4—22no—
513C23×C4—22no—
514C23×C4—22no—
515C23×C4—22no—
516C23×C4—22no—
517C23×C4—22no—
518C23×C4—22no—
519C23×C4—22no—
520C23×C4—22no—
521C23×C4—22no—
522C23×C4—22no—
523C23×C4—22no—
524C23×C4—22no—
525C23×C4—22no—
526C23×C4—22no—
527C23×C4—22no—
528C23×C4—22no—
529C23×C4—22no—
530C23×C4—22no—
531C23×C4—22no—
532C23×C4—41no—
533C23×C4—41no—
534C23×C4—41no—
535C23×C4—41no—
536C23×C4—41no—
537C23×C4—41no—
538C23×C4—41no—
539C23×C4—41no—
540C23×C4—41no—
541C23×C4—41no—
542C23×C4—41no—
543C23×C4—41no—
544C23×C4—41no—
545C23×C4—41no—
546C23×C4—41no—
547C23×C4—41no—
548C23×C4—41no—
549C23×C4—41no—
550C23×C4—41no—
551C23×C4—41no—
552C23×C4—41no—
553C23×C4—41no—
554C23×C4—41no—
555C23×C4—41no—
556C23×C4—41no—
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—416no—
567C23×C4—416no—
568C23×C4—416no—
569C23×C4—416no—
570C23×C4—416no—
571C23×C4—416no—
572C23×C4C2×D414yes—
573C23×C4#4114yes—
574C23×C4#4114yes—
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
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
602#123—416no—
603#120—232no—
604C4×D4—416no—
605C4×D4—416no—
606C4×D4—416no—
607C4×D4—416no—
608C4×D4—416no—
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—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—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⋊C4—41no—
656C2×C4⋊C4—41no—
657C2×C4⋊C4—41no—
658C2×C4⋊C4—41no—
659C2×C4⋊C4—41no—
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—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—416no—
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—416no—
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⋊C4C2×D414yes—
771C2×C22⋊C4C2×D414yes—
772C2×C22⋊C4C2×D414yes—
773C2×C22⋊C4C2×D414yes—
774C2×C22⋊C4C2×D414yes—
775C2×C22⋊C4#4114yes—
776C2×C42—22no—
777C2×C42—22no—
778C2×C42—22no—
779C2×C42—22no—
780C2×C42—22no—
781C2×C42—22no—
782C2×C42—22no—
783C2×C42—22no—
784C2×C42—22no—
785C2×C42—22no—
786C2×C42—22no—
787C2×C42—41no—
788C2×C42—41no—
789C2×C42—41no—
790C2×C42—41no—
791#95—22no—
792#95—22no—
793#95—22no—
794#95—22no—
795#95—22no—
796#95—22no—
797#95—22no—
798#95—22no—
799#95—22no—
800#95—22no—
801#95—22no—
802#95—22no—
803#95—22no—
804#95—22no—
805#95—22no—
806#95—22no—
807#95—22no—
808#95—22no—
809#95—22no—
810#95—22no—
811#95—22no—
812#95—22no—
813#95—22no—
814#95—22no—
815#95—22no—
816#95—22no—
817#95—22no—
818#95—22no—
819#95—22no—
820#95—22no—
821#95—22no—
822#95—22no—
823#95—22no—
824#95—22no—
825#95—22no—
826#95—22no—
827#95—22no—
828#95—22no—
829#95—22no—
830#95—22no—
831#95—22no—
832#95—22no—
833#95—41no—
834#95—41no—
835#95—41no—
836#95—41no—
837#95—41no—
838#95—41no—
839#95—41no—
840#95—41no—
841#95—41no—
842#95—41no—
843#95—41no—
844#95—41no—
845#95—41no—
846#95—41no—
847#95—41no—
848#95—41no—
849#95—41no—
850#95—41no—
851#95—41no—
852#95—41no—
853#95—41no—
854#95—41no—
855#95—41no—
856#95—41no—
857#95—41no—
858#95—41no—
859#95—41no—
860#95—41no—
861#95—41no—
862#95—41no—
863#95—41no—
864#95—41no—
865#95C2×D414yes—
866#95C2×D414yes—
867#95C2×D414yes—
868#95C2×D414yes—
869C24—21no—
870C24—21no—
871C24—21no—
872C24—21no—
873C24—21no—
874C24—21no—
875C24—21no—
876C24—21no—
877C24—28no—
878C24—28no—
879C24—28no—
880C24—28no—
881C24—28no—
882C24—28no—
883C24—28no—
884C24—21no—
885C24—21no—
886C24—21no—
887C24—21no—
888C24—21no—
889C24—21no—
890C24—21no—
891C24—21no—
892C24—21no—
893C24—21no—
894C24—21no—
895C24—21no—
896C24—21no—
897C24—21no—
898C24—21no—
899C24—21no—
900C24—21no—
901C24—21no—
902C24—21no—
903C24—21no—
904C24—21no—
905C24—21no—
906C24—21no—
907C24—21no—
908C24—21no—
909C24—21no—
910C24—21no—
911C24—21no—
912C24—21no—
913C24—21no—
914C24—21no—
915C24—21no—
916C24—21no—
917C24—21no—
918C24—21no—
919C24—21no—
920C24—28no—
921C24—28no—
922C24—44no—
923C24—44no—
924C24—44no—
925C24—44no—
926C24—44no—
927C24—44no—
928C24—44no—
929C24—44no—
930C24—44no—
931C24—44no—
932C24—44no—
933C24—44no—
934C24—44no—
935C24—44no—
936C24—44no—
937C24—44no—
938C24—44no—
939C24—44no—
940C24—44no—
941C24—44no—
942C24—44no—
943C24—44no—
944C24—44no—
945C24—44no—
946C24—44no—
947C24—44no—
948C24C22×D412yes—
949C24C22×D412yes—
950C24C22×D412yes—
951C24C22×D412yes—
952C24C22×D412yes—
953C24C2×#4112yes—
954C24C2×#4112yes—
955C24C2×#4112yes—
956C24C2×#4112yes—
957C24C2×#4112yes—
958C24C2×#4112yes—
959C24C2×#4112yes—
960C24H(5,𝔽2)12yes—
961C24H(5,𝔽2)12yes—
962C24H(5,𝔽2)12yes—
963C242−1+412yes—
964C24C2511yescharacteristic
965C2×D4—28no—
966C2×D4—28no—
967C2×D4—28no—
968C2×D4—28no—
969C2×D4—28no—
970C2×D4—28no—
971C2×D4—28no—
972C2×D4—28no—
973C2×D4—28no—
974C2×D4—28no—
975C2×D4—44no—
976C2×D4—44no—
977C2×D4—44no—
978C2×D4—44no—
979C2×D4—44no—
980C2×D4—44no—
981C2×D4—44no—
982C2×D4—44no—
983C2×D4—44no—
984C2×D4—44no—
985C2×D4#123116yes—
986C22×C4—21no—
987C22×C4—21no—
988C22×C4—21no—
989C22×C4—21no—
990C22×C4—21no—
991C22×C4—21no—
992C22×C4—21no—
993C22×C4—21no—
994C22×C4—28no—
995C22×C4—28no—
996C22×C4—28no—
997C22×C4—28no—
998C22×C4—28no—
999C22×C4—28no—
1000C22×C4—21no—
1001C22×C4—21no—
1002C22×C4—21no—
1003C22×C4—21no—
1004C22×C4—21no—
1005C22×C4—21no—
1006C22×C4—21no—
1007C22×C4—21no—
1008C22×C4—21no—
1009C22×C4—21no—
1010C22×C4—21no—
1011C22×C4—21no—
1012C22×C4—21no—
1013C22×C4—21no—
1014C22×C4—21no—
1015C22×C4—21no—
1016C22×C4—21no—
1017C22×C4—21no—
1018C22×C4—21no—
1019C22×C4—21no—
1020C22×C4—21no—
1021C22×C4—21no—
1022C22×C4—21no—
1023C22×C4—21no—
1024C22×C4—21no—
1025C22×C4—21no—
1026C22×C4—21no—
1027C22×C4—21no—
1028C22×C4—21no—
1029C22×C4—21no—
1030C22×C4—21no—
1031C22×C4—21no—
1032C22×C4—21no—
1033C22×C4—21no—
1034C22×C4—21no—
1035C22×C4—21no—
1036C22×C4—21no—
1037C22×C4—21no—
1038C22×C4—21no—
1039C22×C4—21no—
1040C22×C4—21no—
1041C22×C4—21no—
1042C22×C4—21no—
1043C22×C4—21no—
1044C22×C4—21no—
1045C22×C4—21no—
1046C22×C4—21no—
1047C22×C4—21no—
1048C22×C4—21no—
1049C22×C4—21no—
1050C22×C4—21no—
1051C22×C4—21no—
1052C22×C4—21no—
1053C22×C4—21no—
1054C22×C4—21no—
1055C22×C4—21no—
1056C22×C4—21no—
1057C22×C4—21no—
1058C22×C4—21no—
1059C22×C4—21no—
1060C22×C4—21no—
1061C22×C4—21no—
1062C22×C4—21no—
1063C22×C4—21no—
1064C22×C4—21no—
1065C22×C4—21no—
1066C22×C4—28no—
1067C22×C4—28no—
1068C22×C4—28no—
1069C22×C4—21no—
1070C22×C4—21no—
1071C22×C4—21no—
1072C22×C4—21no—
1073C22×C4—21no—
1074C22×C4—21no—
1075C22×C4—21no—
1076C22×C4—21no—
1077C22×C4—21no—
1078C22×C4—21no—
1079C22×C4—21no—
1080C22×C4—21no—
1081C22×C4—21no—
1082C22×C4—21no—
1083C22×C4—21no—
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—21no—
1101C22×C4—21no—
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—44no—
1168C22×C4—44no—
1169C22×C4—44no—
1170C22×C4—44no—
1171C22×C4—44no—
1172C22×C4—44no—
1173C22×C4—44no—
1174C22×C4—44no—
1175C22×C4—44no—
1176C22×C4—44no—
1177C22×C4—44no—
1178C22×C4—44no—
1179C22×C4—44no—
1180C22×C4—44no—
1181C22×C4—44no—
1182C22×C4—44no—
1183C22×C4—44no—
1184C22×C4—44no—
1185C22×C4—44no—
1186C22×C4—44no—
1187C22×C4—44no—
1188C22×C4—44no—
1189C22×C4—44no—
1190C22×C4—44no—
1191C22×C4—44no—
1192C22×C4—44no—
1193C22×C4—44no—
1194C22×C4—44no—
1195C22×C4—44no—
1196C22×C4—44no—
1197C22×C4—44no—
1198C22×C4—44no—
1199C22×C4—44no—
1200C22×C4—44no—
1201C22×C4—44no—
1202C22×C4—44no—
1203C22×C4—44no—
1204C22×C4—44no—
1205C22×C4—44no—
1206C22×C4—44no—
1207C22×C4—44no—
1208C22×C4—44no—
1209C22×C4—44no—
1210C22×C4—44no—
1211C22×C4—44no—
1212C22×C4—44no—
1213C22×C4—44no—
1214C22×C4—44no—
1215C22×C4—4128no—
1216C22×C4—44no—
1217C22×C4—44no—
1218C22×C4—44no—
1219C22×C4—44no—
1220C22×C4—44no—
1221C22×C4—44no—
1222C22×C4—44no—
1223C22×C4—44no—
1224C22×C4—44no—
1225C22×C4—44no—
1226C22×C4—44no—
1227C22×C4—44no—
1228C22×C4—82no—
1229C22×C4—82no—
1230C22×C4—82no—
1231C22×C4—82no—
1232C22×C4—82no—
1233C22×C4—82no—
1234C22×C4—82no—
1235C22×C4—82no—
1236C22×C4—82no—
1237C22×C4—82no—
1238C22×C4—82no—
1239C22×C4—82no—
1240C22×C4—82no—
1241C22×C4—82no—
1242C22×C4—82no—
1243C22×C4—82no—
1244C22×C4—82no—
1245C22×C4—82no—
1246C22×C4—82no—
1247C22×C4—82no—
1248C22×C4—82no—
1249C22×C4—82no—
1250C22×C4C22×D412yes—
1251C22×C4C22×D412yes—
1252C22×C4C22×D412yes—
1253C22×C4C22×D412yes—
1254C22×C4C22×D412yes—
1255C22×C4C22×D412yes—
1256C22×C4C22×D412yes—
1257C22×C4C22×D412yes—
1258C22×C4C22×D412yes—
1259C22×C4C2×#4112yes—
1260C22×C4C2×#4112yes—
1261C22×C4C2×#4112yes—
1262C22×C4C2×#4112yes—
1263C22×C4C2×#4112yes—
1264C22×C4C2×#4112yes—
1265C22×C4C2×#4112yes—
1266C22×C4C2×#4112yes—
1267C4⋊C4—44no—
1268C4⋊C4—44no—
1269C4⋊C4—44no—
1270C4⋊C4—44no—
1271C4⋊C4—44no—
1272C4⋊C4—44no—
1273C4⋊C4—44no—
1274C4⋊C4—44no—
1275C4⋊C4—44no—
1276C4⋊C4—82no—
1277C4⋊C4—82no—
1278C4⋊C4—82no—
1279C4⋊C4—82no—
1280C4⋊C4—82no—
1281C4⋊C4—82no—
1282C4⋊C4—82no—
1283C4⋊C4—82no—
1284C22⋊C4—28no—
1285C22⋊C4—28no—
1286C22⋊C4—28no—
1287C22⋊C4—28no—
1288C22⋊C4—28no—
1289C22⋊C4—44no—
1290C22⋊C4—44no—
1291C22⋊C4—44no—
1292C22⋊C4—44no—
1293C22⋊C4—44no—
1294C22⋊C4—44no—
1295C22⋊C4—44no—
1296C22⋊C4—44no—
1297C22⋊C4—44no—
1298C22⋊C4—44no—
1299C22⋊C4—44no—
1300C22⋊C4—44no—
1301C22⋊C4—44no—
1302C22⋊C4—44no—
1303C22⋊C4—44no—
1304C22⋊C4—44no—
1305C22⋊C4—44no—
1306C22⋊C4—44no—
1307C22⋊C4—44no—
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—44no—
1317C22⋊C4—44no—
1318C22⋊C4—82no—
1319C22⋊C4—82no—
1320C22⋊C4—82no—
1321C22⋊C4—82no—
1322C42—44no—
1323C42—44no—
1324C42—44no—
1325C42—44no—
1326C42—44no—
1327C23—22no—
1328C23—22no—
1329C23—22no—
1330C23—22no—
1331C23—22no—
1332C23—22no—
1333C23—22no—
1334C23—22no—
1335C23—22no—
1336C23—22no—
1337C23—22no—
1338C23—22no—
1339C23—22no—
1340C23—22no—
1341C23—22no—
1342C23—22no—
1343C23—22no—
1344C23—22no—
1345C23—22no—
1346C23—22no—
1347C23—22no—
1348C23—22no—
1349C23—22no—
1350C23—22no—
1351C23—22no—
1352C23—22no—
1353C23—22no—
1354C23—22no—
1355C23—232no—
1356C23—22no—
1357C23—22no—
1358C23—22no—
1359C23—22no—
1360C23—22no—
1361C23—22no—
1362C23—22no—
1363C23—22no—
1364C23—22no—
1365C23—22no—
1366C23—22no—
1367C23—22no—
1368C23—22no—
1369C23—22no—
1370C23—22no—
1371C23—22no—
1372C23—22no—
1373C23—22no—
1374C23—22no—
1375C23—22no—
1376C23—22no—
1377C23—22no—
1378C23—22no—
1379C23—22no—
1380C23—22no—
1381C23—22no—
1382C23—22no—
1383C23—22no—
1384C23—22no—
1385C23—22no—
1386C23—22no—
1387C23—22no—
1388C23—22no—
1389C23—22no—
1390C23—22no—
1391C23—22no—
1392C23—22no—
1393C23—22no—
1394C23—22no—
1395C23—22no—
1396C23—22no—
1397C23—22no—
1398C23—22no—
1399C23—22no—
1400C23—22no—
1401C23—22no—
1402C23—22no—
1403C23—22no—
1404C23—22no—
1405C23—22no—
1406C23—22no—
1407C23—22no—
1408C23—22no—
1409C23—22no—
1410C23—416no—
1411C23—416no—
1412C23—416no—
1413C23—416no—
1414C23—416no—
1415C23—416no—
1416C23—416no—
1417C23—416no—
1418C23—416no—
1419C23—416no—
1420C23—416no—
1421C23—416no—
1422C23—416no—
1423C23—41no—
1424C23—41no—
1425C23—41no—
1426C23—416no—
1427C23—41no—
1428C23—41no—
1429C23—41no—
1430C23—41no—
1431C23—41no—
1432C23—41no—
1433C23—41no—
1434C23—41no—
1435C23—41no—
1436C23—41no—
1437C23—41no—
1438C23—41no—
1439C23—41no—
1440C23—41no—
1441C23—41no—
1442C23—41no—
1443C23—41no—
1444C23—41no—
1445C23—41no—
1446C23—41no—
1447C23—41no—
1448C23—41no—
1449C23—41no—
1450C23—41no—
1451C23—41no—
1452C23—41no—
1453C23—41no—
1454C23—41no—
1455C23—41no—
1456C23—41no—
1457C23—41no—
1458C23—41no—
1459C23—41no—
1460C23—41no—
1461C23—41no—
1462C23—41no—
1463C23—41no—
1464C23—41no—
1465C23—41no—
1466C23—41no—
1467C23—41no—
1468C23—41no—
1469C23—41no—
1470C23—41no—
1471C23—41no—
1472C23C2×#12314yes—
1473C23C2×#12314yes—
1474C23#52914yes—
1475C23#53914yes—
1476C23D4214yes—
1477C23#54614yes—
1478C23#54614yes—
1479C23#54714yes—
1480C23#55114yes—
1481C23#55214yes—
1482C23C23×D411yescharacteristic
1483C23C23×D411yescharacteristic
1484C23C22×#4111yescharacteristic
1485C23C22×#4111yescharacteristic
1486C23C22×#4111yescharacteristic
1487C23C22×#4111yescharacteristic
1488C23C22×#4111yescharacteristic
1489C23C2×H(5,𝔽2)11yescharacteristic
1490C23C2×H(5,𝔽2)11yescharacteristic
1491C23C2×H(5,𝔽2)11yescharacteristic
1492C23C2×2−1+411yescharacteristic
1493C23#58511yescharacteristic
1494C23#58511yescharacteristic
1495C23#58511yescharacteristic
1496C23#58511yescharacteristic
1497D4—232no—
1498D4—416no—
1499D4—416no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—416no—
1546C2×C4—416no—
1547C2×C4—416no—
1548C2×C4—416no—
1549C2×C4—416no—
1550C2×C4—416no—
1551C2×C4—41no—
1552C2×C4—41no—
1553C2×C4—41no—
1554C2×C4—41no—
1555C2×C4—41no—
1556C2×C4—41no—
1557C2×C4—41no—
1558C2×C4—41no—
1559C2×C4—41no—
1560C2×C4—41no—
1561C2×C4—41no—
1562C2×C4—41no—
1563C2×C4—41no—
1564C2×C4—41no—
1565C2×C4—41no—
1566C2×C4—41no—
1567C2×C4—41no—
1568C2×C4—41no—
1569C2×C4—41no—
1570C2×C4—41no—
1571C2×C4—41no—
1572C2×C4—41no—
1573C2×C4—41no—
1574C2×C4—41no—
1575C2×C4—41no—
1576C2×C4—41no—
1577C2×C4—41no—
1578C2×C4—41no—
1579C2×C4—41no—
1580C2×C4—41no—
1581C2×C4—41no—
1582C2×C4—41no—
1583C2×C4—41no—
1584C2×C4—41no—
1585C2×C4—41no—
1586C2×C4—41no—
1587C2×C4—41no—
1588C2×C4—41no—
1589C2×C4—41no—
1590C2×C4—41no—
1591C2×C4—41no—
1592C2×C4—41no—
1593C2×C4—41no—
1594C2×C4—41no—
1595C2×C4—41no—
1596C2×C4—41no—
1597C2×C4—41no—
1598C2×C4—41no—
1599C2×C4—41no—
1600C2×C4—41no—
1601C2×C4—41no—
1602C2×C4—41no—
1603C2×C4—41no—
1604C2×C4—41no—
1605C2×C4—41no—
1606C2×C4—41no—
1607C2×C4—41no—
1608C2×C4—41no—
1609C2×C4—41no—
1610C2×C4—41no—
1611C2×C4—41no—
1612C2×C4—41no—
1613C2×C4—41no—
1614C2×C4—41no—
1615C2×C4—41no—
1616C2×C4—41no—
1617C2×C4—41no—
1618C2×C4—41no—
1619C2×C4—41no—
1620C2×C4—41no—
1621C2×C4—41no—
1622C2×C4—41no—
1623C2×C4—41no—
1624C2×C4—41no—
1625C2×C4—41no—
1626C2×C4—41no—
1627C2×C4—41no—
1628C2×C4—41no—
1629C2×C4—41no—
1630C2×C4—41no—
1631C2×C4—41no—
1632C2×C4—41no—
1633C2×C4—41no—
1634C2×C4—41no—
1635C2×C4—41no—
1636C2×C4—41no—
1637C2×C4—41no—
1638C2×C4—41no—
1639C2×C4—41no—
1640C2×C4—41no—
1641C2×C4—41no—
1642C2×C4—41no—
1643C2×C4—41no—
1644C2×C4—41no—
1645C2×C4—41no—
1646C2×C4—41no—
1647C2×C4—41no—
1648C2×C4—41no—
1649C2×C4—41no—
1650C2×C4—41no—
1651C2×C4—41no—
1652C2×C4—41no—
1653C2×C4—41no—
1654C2×C4—41no—
1655C2×C4—41no—
1656C2×C4—41no—
1657C2×C4—41no—
1658C2×C4—41no—
1659C2×C4—41no—
1660C2×C4—41no—
1661C2×C4—41no—
1662C2×C4—41no—
1663C2×C4—41no—
1664C2×C4—41no—
1665C2×C4—41no—
1666C2×C4—41no—
1667C2×C4—41no—
1668C2×C4—41no—
1669C2×C4—41no—
1670C2×C4—41no—
1671C2×C4—41no—
1672C2×C4—41no—
1673C2×C4—41no—
1674C2×C4—41no—
1675C2×C4—41no—
1676C2×C4—41no—
1677C2×C4—41no—
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—88no—
1694C2×C4—88no—
1695C2×C4—88no—
1696C2×C4—88no—
1697C2×C4—88no—
1698C2×C4—88no—
1699C2×C4—88no—
1700C2×C4C2×#12314yes—
1701C2×C4#52514yes—
1702C22—24no—
1703C22—24no—
1704C22—24no—
1705C22—24no—
1706C22—24no—
1707C22—24no—
1708C22—24no—
1709C22—24no—
1710C22—24no—
1711C22—24no—
1712C22—24no—
1713C22—24no—
1714C22—24no—
1715C22—24no—
1716C22—24no—
1717C22—24no—
1718C22—24no—
1719C22—24no—
1720C22—24no—
1721C22—24no—
1722C22—24no—
1723C22—24no—
1724C22—24no—
1725C22—464no—
1726C22—42no—
1727C22—42no—
1728C22—42no—
1729C22—42no—
1730C22—42no—
1731C22—42no—
1732C22—42no—
1733C22—42no—
1734C22—42no—
1735C22—42no—
1736C22—42no—
1737C22—42no—
1738C22—42no—
1739C22—42no—
1740C22—42no—
1741C22—42no—
1742C22—42no—
1743C22—42no—
1744C22—42no—
1745C22—42no—
1746C22—42no—
1747C22—42no—
1748C22—42no—
1749C22—42no—
1750C22—42no—
1751C22—42no—
1752C22—42no—
1753C22—42no—
1754C22—42no—
1755C22—42no—
1756C22—42no—
1757C22—42no—
1758C22—42no—
1759C22—42no—
1760C22—42no—
1761C22—42no—
1762C22#241918yescomplemented
1763C22C22×#12311yescharacteristic
1764C22C2×#52511yescharacteristic
1765C22C2×#52911yescharacteristic
1766C22C2×#53911yescharacteristic
1767C22#345511yescharacteristic
1768C22C2×D4211yescharacteristic
1769C22C2×#54611yescharacteristic
1770C22C2×#54611yescharacteristic
1771C22C2×#54711yescharacteristic
1772C22D4×#4111yescharacteristic
1773C22D4×#4111yescharacteristic
1774C22D4×#4111yescharacteristic
1775C22C2×#55111yescharacteristic
1776C22C2×#55211yescharacteristic
1777C22#347511yescharacteristic
1778C22#347511yescharacteristic
1779C22#347511yescharacteristic
1780C22#348411yescharacteristic
1781C22#348511yescharacteristic
1782C22#348511yescharacteristic
1783C22#348911yescharacteristic
1784C22#349011yescharacteristic
1785C22#349011yescharacteristic
1786C22#349311yescharacteristic
1787C22#349511yescharacteristic
1788C22#351311yescharacteristic
1789C22#351311yescharacteristic
1790C22#351311yescharacteristic
1791C22#351311yescharacteristic
1792C22#351311yescharacteristic
1793C22#351311yescharacteristic
1794C22#353311yescharacteristic
1795C22#353311yescharacteristic
1796C22#353511yescharacteristic
1797C22#353511yescharacteristic
1798C4—24no—
1799C4—24no—
1800C4—42no—
1801C4—42no—
1802C4—42no—
1803C4—42no—
1804C4—42no—
1805C4—42no—
1806C4—42no—
1807C4—42no—
1808C4—42no—
1809C4—42no—
1810C4—42no—
1811C4—81no—
1812C4—81no—
1813C4—81no—
1814C4—81no—
1815C4—81no—
1816C4—81no—
1817C4—81no—
1818C4—81no—
1819C4—81no—
1820C4—81no—
1821C4—81no—
1822C4—81no—
1823C4—81no—
1824C4—81no—
1825C2—28no—
1826C2—44no—
1827C2—44no—
1828C2—44no—
1829C2C2×#241911yescharacteristic
1830C2#3474011yescharacteristic
1831C2#3537311yescharacteristic
1832C2D4×#12311yescharacteristic
1833C2#3609811yescharacteristic
1834C2#3615511yescharacteristic
1835C2#3623411yescharacteristic
1836C2#3766711yescharacteristic
1837C2#3771211yescharacteristic
1838C2#3790111yescharacteristic
1839C2#3892411yescharacteristic
1840C2#5899511yescharacteristic
1841C2#5901011yescharacteristic
1842C2#5919111yescharacteristic
1843C2#5936911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
prime radicalC22×#120C22
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×#2419C2semidirect
4. C22×#381C2semidirect
5. #15982C2semidirect
6. #15952C2semidirect
7. #15929C2semidirect
8. #15539C2semidirect
9. #15538C2semidirect
10. #15469C2semidirect
11. #15383C2semidirect
12. #15298C2semidirect
13. #14837C2semidirect
14. #14823C2semidirect
15. #14820C2semidirect
16. #14772C2semidirect
17. #14767C2semidirect
18. #14736C2semidirect
19. #14731C2semidirect
20. #14727C2semidirect
21. #14693C2semidirect
22. #14131C2semidirect
23. #14103C2semidirect
24. #14008C2semidirect
25. #13980C2semidirect
26. #13975C2semidirect
28. #13899C2semidirect
29. #13894C2semidirect
30. #13894C2semidirect
31. D4×#95C2semidirect
44. C2×#400C22semidirect
46. C2×#398C22semidirect
57. C2×#387C22semidirect
58. C2×#387C22semidirect
78. C2×#385C22semidirect
88. C2×#381C22semidirect
91. C2×#380C22semidirect
102. C22×#95C22semidirect
103. #1445C22semidirect
104. #1445C22semidirect
105. #1445C22semidirect
106. #1445C22semidirect
107. #1445C22semidirect
108. #1445C22semidirect
109. #1444C22semidirect
110. #1444C22semidirect
111. #1443C22semidirect
112. #1443C22semidirect
113. #1443C22semidirect
114. #1443C22semidirect
115. #1442C22semidirect
116. #1442C22semidirect
117. #1442C22semidirect
118. #1442C22semidirect
119. #1442C22semidirect
120. #1442C22semidirect
121. #1442C22semidirect
122. #1442C22semidirect
123. #1441C22semidirect
124. #1441C22semidirect
125. #1441C22semidirect
126. #1441C22semidirect
127. #1441C22semidirect
128. #1441C22semidirect
129. #1441C22semidirect
130. #1441C22semidirect
139. #1440C22semidirect
140. #1440C22semidirect
147. #1439C22semidirect
148. #1439C22semidirect
149. #1439C22semidirect
150. #1439C22semidirect
155. #1436C22semidirect
156. #1436C22semidirect
157. #1436C22semidirect
158. #1436C22semidirect
159. #1436C22semidirect
160. #1436C22semidirect
161. C4⋊#95C22semidirect
162. C4⋊#95C22semidirect
163. C4⋊#95C22semidirect
164. C4⋊#95C22semidirect
165. #1434C22semidirect
166. #1434C22semidirect
167. #1434C22semidirect
168. #1434C22semidirect
169. #1434C22semidirect
184. C22⋊#95C22semidirect
185. C22⋊#95C22semidirect
186. C22⋊#95C22semidirect
187. C22⋊#95C22semidirect
188. C22⋊#95C22semidirect
189. C22⋊#95C22semidirect
190. C4×#95C22semidirect
344. #381D4semidirect
1762. C22#2419semidirect

Maximal subgroups

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

subgroupindex
C2×#24192
C2×#24182
C2×C4×#1202
C22×#3812
#159822
#159522
#159292
#155392
#155382
#154692
#153832
#152982
#148372
#148232
#148202
#147722
#147672
#147362
#147312
#147272
#146932
#141312
#141032
#140082
#139802
#139752
#139672
#138992
#138942
D4×#952