Finite Group Databasebeta

← #4063955

Subgroups — #4063955

Order 512.

2783 conjugacy classes of subgroups.

The subgroup lattice has 1809 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#17232C211yesmaximal, characteristic, complemented
2#17138C211yesmaximal, characteristic, complemented
3#17095C211yesmaximal, characteristic, complemented
4#16087C211yesmaximal, characteristic, complemented
5#15979C211yesmaximal, characteristic, complemented
6#15815C211yesmaximal, characteristic, complemented
7#15777C211yesmaximal, characteristic, complemented
8#15643C211yesmaximal, characteristic, complemented
9#15605C211yesmaximal, characteristic, complemented
10#15594C211yesmaximal, characteristic, complemented
11#15498C211yesmaximal, characteristic, complemented
12#15483C211yesmaximal, characteristic, complemented
13#15420C211yesmaximal, characteristic, complemented
14#15299C211yesmaximal, characteristic, complemented
15#15281C211yesmaximal, characteristic, complemented
16#15267C211yesmaximal, characteristic
17#15245C211yesmaximal, characteristic, complemented
18#15041C211yesmaximal, characteristic, complemented
19#14947C211yesmaximal, characteristic, complemented
20#14918C211yesmaximal, characteristic, complemented
21#14750C211yesmaximal, characteristic, complemented
22#14718C211yesmaximal, characteristic, complemented
23#14444C211yesmaximal, characteristic, complemented
24#14413C211yesmaximal, characteristic, complemented
25#14376C211yesmaximal, characteristic, complemented
26#14376C211yesmaximal, characteristic, complemented
27#14366C211yesmaximal, characteristic, complemented
28#14358C211yesmaximal, characteristic, complemented
29#14187C211yesmaximal, characteristic, complemented
30#13977C211yesmaximal, characteristic, complemented
31#13967C211yesmaximal, characteristic, complemented
32C22×#120C2211yescharacteristic
33C22×#120C2211yescharacteristic
34C22×C4×D4C2211yescharacteristic
35C23×C22⋊C4C2211yescharacteristic
36C2×#400C2211yescharacteristic, complemented
37C2×#400C2211yescharacteristic, complemented
38C2×#394C2211yescharacteristic
39C2×#394C2211yescharacteristic
40C2×#394C2211yescharacteristic
41C2×#394C2211yescharacteristic
42C2×#394C2211yescharacteristic
43C2×#394C2211yescharacteristic
44C2×#394C2211yescharacteristic, complemented
45C2×#392C2211yescharacteristic
46C2×#392C2211yescharacteristic
47C2×#392C2211yescharacteristic
48C2×#390C2211yescharacteristic
49C2×#390C2211yescharacteristic
50C2×#390C2211yescharacteristic
51C2×#390C2211yescharacteristic
52C2×#390C2211yescharacteristic
53C2×#389C2211yescharacteristic, complemented
54C2×#388C2211yescharacteristic
55C2×#388C2211yescharacteristic
56C2×#388C2211yescharacteristic
57C2×#388C2211yescharacteristic
58C2×#388C2211yescharacteristic
59C2×#388C2211yescharacteristic
60C2×#388C2211yescharacteristic, complemented
61C2×#388C2211yescharacteristic, complemented
62C2×#387C2211yescharacteristic, complemented
63C2×#386C2211yescharacteristic
64C2×#386C2211yescharacteristic
65C2×#386C2211yescharacteristic
66C2×#386C2211yescharacteristic
67C2×#386C2211yescharacteristic
68C2×#386C2211yescharacteristic, complemented
69C2×#385C2211yescharacteristic
70C2×#385C2211yescharacteristic
71C2×#385C2211yescharacteristic, complemented
72C2×#385C2211yescharacteristic, complemented
73C2×#384C2211yescharacteristic, complemented
74C2×#381C2211yescharacteristic
75C2×#381C2211yescharacteristic
76C2×#379C2211yescharacteristic
77C2×#379C2211yescharacteristic
78C2×#379C2211yescharacteristic
79C2×#379C2211yescharacteristic
80C2×C4×C22⋊C4C2211yescharacteristic, complemented
81#1445C2211yescharacteristic, complemented
82#1443C2211yescharacteristic, complemented
83#1443C2211yescharacteristic, complemented
84#1443C2211yescharacteristic, complemented
85#1443C2211yescharacteristic, complemented
86#1443C2211yescharacteristic, complemented
87#1443C2211yescharacteristic, complemented
88#1443C2211yescharacteristic, complemented
89#1442C2211yescharacteristic, complemented
90#1442C2211yescharacteristic, complemented
91#1442C2211yescharacteristic, complemented
92#1442C2211yescharacteristic, complemented
93#1442C2211yescharacteristic, complemented
94#1441C2211yescharacteristic, complemented
95#1441C2211yescharacteristic, complemented
96#1441C2211yescharacteristic, complemented
97#1440C2211yescharacteristic
98#1440C2211yescharacteristic
99#1440C2211yescharacteristic
100#1440C2211yescharacteristic
101#1440C2211yescharacteristic
102#1440C2211yescharacteristic
103#1440C2211yescharacteristic
104#1440C2211yescharacteristic
105#1440C2211yescharacteristic, complemented
106#1440C2211yescharacteristic, complemented
107#1440C2211yescharacteristic, complemented
108#1440C2211yescharacteristic, complemented
109#1440C2211yescharacteristic, complemented
110#1440C2211yescharacteristic, complemented
111#1440C2211yescharacteristic, complemented
112#1439C2211yescharacteristic
113#1439C2211yescharacteristic
114#1439C2211yescharacteristic
115#1439C2211yescharacteristic
116#1439C2211yescharacteristic
117#1439C2211yescharacteristic
118#1439C2211yescharacteristic
119#1439C2211yescharacteristic
120#1439C2211yescharacteristic
121#1439C2211yescharacteristic
122#1439C2211yescharacteristic
123#1439C2211yescharacteristic
124#1439C2211yescharacteristic
125#1439C2211yescharacteristic
126#1439C2211yescharacteristic
127#1439C2211yescharacteristic
128#1439C2211yescharacteristic
129#1439C2211yescharacteristic
130#1439C2211yescharacteristic
131#1439C2211yescharacteristic
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#1438C2211yescharacteristic
141#1438C2211yescharacteristic
142#1438C2211yescharacteristic
143#1438C2211yescharacteristic
144#1438C2211yescharacteristic
145#1438C2211yescharacteristic
146#1438C2211yescharacteristic
147#1438C2211yescharacteristic
148#1438C2211yescharacteristic
149#1438C2211yescharacteristic
150#1438C2211yescharacteristic
151#1438C2211yescharacteristic
152#1438C2211yescharacteristic
153#1438C2211yescharacteristic, complemented
154#1438C2211yescharacteristic, complemented
155#1437C2211yescharacteristic
156#1437C2211yescharacteristic
157#1437C2211yescharacteristic
158#1437C2211yescharacteristic
159#1437C2211yescharacteristic
160#1437C2211yescharacteristic
161#1437C2211yescharacteristic
162#1437C2211yescharacteristic
163#1437C2211yescharacteristic
164#1437C2211yescharacteristic, complemented
165#1437C2211yescharacteristic, complemented
166#1437C2211yescharacteristic, complemented
167#1437C2211yescharacteristic, complemented
168#1436C2211yescharacteristic, complemented
169#1436C2211yescharacteristic, complemented
170#1436C2211yescharacteristic, complemented
171#1436C2211yescharacteristic, complemented
172#1436C2211yescharacteristic, complemented
173#1436C2211yescharacteristic, complemented
174#1436C2211yescharacteristic, complemented
175#1436C2211yescharacteristic, complemented
176#1436C2211yescharacteristic, complemented
177C4⋊#95C2211yescharacteristic, complemented
178C4⋊#95C2211yescharacteristic, complemented
179#1434C2211yescharacteristic, complemented
180#1434C2211yescharacteristic, complemented
181#1434C2211yescharacteristic, complemented
182C22⋊#95C2211yescharacteristic
183C22⋊#95C2211yescharacteristic
184C22⋊#95C2211yescharacteristic
185C22⋊#95C2211yescharacteristic
186C4×#95C2211yescharacteristic, complemented
187C26C2311yescharacteristic
188C23×D4C2311yescharacteristic
189C23×D4C2311yescharacteristic
190C23×D4C2311yescharacteristic
191C23×D4C2311yescharacteristic
192C23×D4C2311yescharacteristic
193C23×D4C2311yescharacteristic
194C23×D4C2311yescharacteristic
195C24×C4C2311yescharacteristic
196C24×C4C2311yescharacteristic
197C24×C4C2311yescharacteristic
198C2×#120—24no—
199C2×#120—24no—
200C2×#120—42no—
201C2×#120—42no—
202C2×#120—42no—
203C2×#120—42no—
204C2×C4×D4—42no—
205C2×C4×D4—42no—
206C2×C4×D4—42no—
207C22×C4⋊C4C2311yescharacteristic
208C22×C4⋊C4C2311yescharacteristic
209C22×C4⋊C4C2311yescharacteristic
210C22×C4⋊C4C2311yescharacteristic
211C22×C4⋊C4C2311yescharacteristic
212C22×C4⋊C4C2311yescharacteristic
213C22×C4⋊C4C2311yescharacteristic
214C22×C4⋊C4C2311yescharacteristic
215C22×C4⋊C4C2311yescharacteristic
216C22×C4⋊C4C2311yescharacteristic
217C22×C4⋊C4C2311yescharacteristic
218C22×C4⋊C4C2311yescharacteristic
219C22×C4⋊C4C2311yescharacteristic
220C22×C4⋊C4C2311yescharacteristic
221C22×C22⋊C4—42no—
222C22×C22⋊C4—42no—
223C22×C22⋊C4—42no—
224C22×C22⋊C4C2311yescharacteristic
225C22×C22⋊C4C2311yescharacteristic
226C22×C22⋊C4C2311yescharacteristic
227C22×C22⋊C4C2311yescharacteristic
228C22×C22⋊C4C2311yescharacteristic
229C22×C22⋊C4C2311yescharacteristic
230C22×C22⋊C4C2311yescharacteristic
231C22×C22⋊C4C2311yescharacteristic
232C22×C22⋊C4C2311yescharacteristic
233C22×C22⋊C4C2311yescharacteristic
234C22×C22⋊C4C2311yescharacteristic
235C22×C22⋊C4C2311yescharacteristic
236C22×C22⋊C4C2311yescharacteristic
237C22×C22⋊C4C2311yescharacteristic
238C22×C22⋊C4C2311yescharacteristic
239C22×C22⋊C4C2311yescharacteristic
240C22×C22⋊C4C2311yescharacteristic
241C22×C22⋊C4C2311yescharacteristic
242C22×C22⋊C4C2311yescharacteristic
243C22×C22⋊C4C2311yescharacteristic
244C22×C22⋊C4C2311yescharacteristic
245C22×C22⋊C4C2311yescharacteristic
246C22×C22⋊C4C2311yescharacteristic
247C22×C22⋊C4C2311yescharacteristic
248C22×C22⋊C4C2311yescharacteristic
249C22×C22⋊C4C2311yescharacteristic
250C22×C22⋊C4C2311yescharacteristic
251C22×C22⋊C4C2311yescharacteristic
252C22×C22⋊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×C42C2311yescharacteristic
280C22×C42C2311yescharacteristic
281C22×C42C2311yescharacteristic
282C22×C42C2311yescharacteristic
283C22×C42C2311yescharacteristic
284C22×C42C2311yescharacteristic
285C22×C42C2311yescharacteristic
286#400—42no—
287#400—42no—
288#394—42no—
289#394—42no—
290#394—42no—
291#394—42no—
292#394—42no—
293#394—42no—
294#394—42no—
295#392—24no—
296#392—42no—
297#392—42no—
298#390—24no—
299#390—24no—
300#390—42no—
301#390—42no—
302#390—42no—
303#389—42no—
304#388—24no—
305#388—42no—
306#388—42no—
307#388—42no—
308#388—42no—
309#388—42no—
310#388—42no—
311#388—42no—
312#387—42no—
313#386—24no—
314#386—24no—
315#386—42no—
316#386—42no—
317#386—42no—
318#386—42no—
319#385—42no—
320#385—42no—
321#385—42no—
322#385—42no—
323#384—42no—
324#381—42no—
325#381—42no—
326#379—24no—
327#379—42no—
328#379—42no—
329#379—42no—
330C4×C22⋊C4—42no—
331C2×#95C2311yescharacteristic
332C2×#95C2311yescharacteristic
333C2×#95C2311yescharacteristic
334C2×#95C2311yescharacteristic
335C2×#95C2311yescharacteristic
336C2×#95C2311yescharacteristic
337C2×#95C2311yescharacteristic
338C2×#95C2311yescharacteristic
339C2×#95C2311yescharacteristic
340C2×#95C2311yescharacteristic
341C2×#95C2311yescharacteristic
342C2×#95C2311yescharacteristic
343C2×#95C2311yescharacteristic
344C2×#95C2311yescharacteristic
345C2×#95C2311yescharacteristic
346C2×#95C2311yescharacteristic
347C2×#95C2311yescharacteristic
348C2×#95C2311yescharacteristic
349C2×#95C2311yescharacteristic
350C2×#95C2311yescharacteristic
351C2×#95C2311yescharacteristic
352C2×#95C2311yescharacteristic
353C2×#95C2311yescharacteristic
354C2×#95C2311yescharacteristic
355C2×#95C2311yescharacteristic
356C2×#95C2311yescharacteristic
357C2×#95C2311yescharacteristic
358C2×#95C2311yescharacteristic
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
399C25—22no—
400C25—22no—
401C25—22no—
402C25—22no—
403C25—22no—
404C25—41no—
405C25—41no—
406C25—41no—
407C25—41no—
408C25—41no—
409C25—41no—
410C25—41no—
411C25—41no—
412C25—41no—
413C25—41no—
414C25C2411yescharacteristic
415C25C2411yescharacteristic
416C25C2411yescharacteristic
417C25C2411yescharacteristic
418C25C2411yescharacteristic
419C22×D4—22no—
420C22×D4—22no—
421C22×D4—22no—
422C22×D4—22no—
423C22×D4—22no—
424C22×D4—22no—
425C22×D4—22no—
426C22×D4—22no—
427C22×D4—22no—
428C22×D4—22no—
429C22×D4—22no—
430C22×D4—22no—
431C22×D4—22no—
432C22×D4—22no—
433C22×D4—22no—
434C22×D4—22no—
435C22×D4—22no—
436C22×D4—41no—
437C22×D4—41no—
438C22×D4—41no—
439C22×D4—41no—
440C22×D4—41no—
441C22×D4—41no—
442C22×D4—41no—
443C22×D4—41no—
444C22×D4—41no—
445C22×D4—41no—
446C22×D4—41no—
447C22×D4—41no—
448C22×D4—41no—
449C22×D4—41no—
450C22×D4—41no—
451C22×D4—41no—
452C22×D4—41no—
453C22×D4—41no—
454C22×D4—41no—
455C22×D4—41no—
456C22×D4—41no—
457C22×D4—41no—
458C22×D4—41no—
459C22×D4—41no—
460C22×D4—41no—
461C22×D4—41no—
462C22×D4—41no—
463C22×D4—41no—
464C22×D4—41no—
465C22×D4—41no—
466C22×D4—41no—
467C22×D4#4114yes—
468C23×C4—22no—
469C23×C4—22no—
470C23×C4—22no—
471C23×C4—22no—
472C23×C4—22no—
473C23×C4—22no—
474C23×C4—22no—
475C23×C4—41no—
476C23×C4—41no—
477C23×C4—41no—
478C23×C4—41no—
479C23×C4—41no—
480C23×C4—41no—
481C23×C4—41no—
482C23×C4—41no—
483C23×C4—41no—
484C23×C4—41no—
485C23×C4—41no—
486C23×C4—41no—
487C23×C4—41no—
488C23×C4—41no—
489C23×C4C2411yescharacteristic
490C23×C4C2411yescharacteristic
491C23×C4C2411yescharacteristic
492C23×C4C2411yescharacteristic
493C23×C4C2411yescharacteristic
494C23×C4C2411yescharacteristic
495C23×C4C2411yescharacteristic
496C23×C4C2411yescharacteristic
497C23×C4C2411yescharacteristic
498C23×C4C2411yescharacteristic
499C23×C4C2411yescharacteristic
500C23×C4C2411yescharacteristic
501C23×C4C2411yescharacteristic
502C23×C4C2411yescharacteristic
503C23×C4C2411yescharacteristic
504C23×C4C2411yescharacteristic
505C23×C4C2411yescharacteristic
506C23×C4C2411yescharacteristic
507C23×C4C2411yescharacteristic
508C23×C4C2411yescharacteristic
509C23×C4C2411yescharacteristic
510C23×C4C2411yescharacteristic
511C23×C4C2411yescharacteristic
512C23×C4C2411yescharacteristic
513C23×C4C2411yescharacteristic
514C23×C4C2411yescharacteristic
515#120—416no—
516#120—416no—
517C4×D4—416no—
518C2×C4⋊C4—22no—
519C2×C4⋊C4—22no—
520C2×C4⋊C4—22no—
521C2×C4⋊C4—22no—
522C2×C4⋊C4—22no—
523C2×C4⋊C4—22no—
524C2×C4⋊C4—22no—
525C2×C4⋊C4—22no—
526C2×C4⋊C4—22no—
527C2×C4⋊C4—22no—
528C2×C4⋊C4—22no—
529C2×C4⋊C4—22no—
530C2×C4⋊C4—22no—
531C2×C4⋊C4—41no—
532C2×C4⋊C4—41no—
533C2×C4⋊C4—41no—
534C2×C4⋊C4—41no—
535C2×C4⋊C4—41no—
536C2×C4⋊C4—41no—
537C2×C4⋊C4—41no—
538C2×C4⋊C4—41no—
539C2×C4⋊C4—41no—
540C2×C4⋊C4—41no—
541C2×C4⋊C4—41no—
542C2×C4⋊C4—41no—
543C2×C4⋊C4—41no—
544C2×C4⋊C4—41no—
545C2×C4⋊C4—41no—
546C2×C4⋊C4—41no—
547C2×C4⋊C4—41no—
548C2×C4⋊C4—41no—
549C2×C4⋊C4—41no—
550C2×C4⋊C4—41no—
551C2×C4⋊C4—41no—
552C2×C4⋊C4—41no—
553C2×C4⋊C4—41no—
554C2×C4⋊C4—41no—
555C2×C4⋊C4—41no—
556C2×C4⋊C4—41no—
557C2×C4⋊C4—41no—
558C2×C4⋊C4—41no—
559C2×C4⋊C4—41no—
560C2×C22⋊C4—22no—
561C2×C22⋊C4—22no—
562C2×C22⋊C4—22no—
563C2×C22⋊C4—22no—
564C2×C22⋊C4—22no—
565C2×C22⋊C4—22no—
566C2×C22⋊C4—22no—
567C2×C22⋊C4—22no—
568C2×C22⋊C4—22no—
569C2×C22⋊C4—22no—
570C2×C22⋊C4—22no—
571C2×C22⋊C4—22no—
572C2×C22⋊C4—22no—
573C2×C22⋊C4—22no—
574C2×C22⋊C4—22no—
575C2×C22⋊C4—22no—
576C2×C22⋊C4—22no—
577C2×C22⋊C4—22no—
578C2×C22⋊C4—22no—
579C2×C22⋊C4—22no—
580C2×C22⋊C4—22no—
581C2×C22⋊C4—22no—
582C2×C22⋊C4—22no—
583C2×C22⋊C4—22no—
584C2×C22⋊C4—22no—
585C2×C22⋊C4—22no—
586C2×C22⋊C4—22no—
587C2×C22⋊C4—22no—
588C2×C22⋊C4—22no—
589C2×C22⋊C4—22no—
590C2×C22⋊C4—22no—
591C2×C22⋊C4—22no—
592C2×C22⋊C4—22no—
593C2×C22⋊C4—22no—
594C2×C22⋊C4—22no—
595C2×C22⋊C4—22no—
596C2×C22⋊C4—22no—
597C2×C22⋊C4—22no—
598C2×C22⋊C4—22no—
599C2×C22⋊C4—22no—
600C2×C22⋊C4—22no—
601C2×C22⋊C4—22no—
602C2×C22⋊C4—22no—
603C2×C22⋊C4—22no—
604C2×C22⋊C4—22no—
605C2×C22⋊C4—22no—
606C2×C22⋊C4—22no—
607C2×C22⋊C4—22no—
608C2×C22⋊C4—22no—
609C2×C22⋊C4—22no—
610C2×C22⋊C4—22no—
611C2×C22⋊C4—22no—
612C2×C22⋊C4—22no—
613C2×C22⋊C4—22no—
614C2×C22⋊C4—22no—
615C2×C22⋊C4—22no—
616C2×C22⋊C4—22no—
617C2×C22⋊C4—41no—
618C2×C22⋊C4—41no—
619C2×C22⋊C4—41no—
620C2×C22⋊C4—41no—
621C2×C22⋊C4—41no—
622C2×C22⋊C4—41no—
623C2×C22⋊C4—41no—
624C2×C22⋊C4—41no—
625C2×C22⋊C4—41no—
626C2×C22⋊C4—41no—
627C2×C22⋊C4—41no—
628C2×C22⋊C4—41no—
629C2×C22⋊C4—41no—
630C2×C22⋊C4—41no—
631C2×C22⋊C4—41no—
632C2×C22⋊C4—41no—
633C2×C22⋊C4—41no—
634C2×C22⋊C4—41no—
635C2×C22⋊C4—41no—
636C2×C22⋊C4—41no—
637C2×C22⋊C4—41no—
638C2×C22⋊C4—41no—
639C2×C22⋊C4—41no—
640C2×C22⋊C4—41no—
641C2×C22⋊C4—41no—
642C2×C22⋊C4—41no—
643C2×C22⋊C4—41no—
644C2×C22⋊C4—41no—
645C2×C22⋊C4—41no—
646C2×C22⋊C4—41no—
647C2×C22⋊C4—41no—
648C2×C22⋊C4—41no—
649C2×C22⋊C4—41no—
650C2×C22⋊C4—41no—
651C2×C22⋊C4—416no—
652C2×C22⋊C4—41no—
653C2×C22⋊C4—41no—
654C2×C22⋊C4—41no—
655C2×C22⋊C4—41no—
656C2×C22⋊C4—41no—
657C2×C22⋊C4—41no—
658C2×C22⋊C4—41no—
659C2×C22⋊C4—41no—
660C2×C22⋊C4—41no—
661C2×C22⋊C4—41no—
662C2×C22⋊C4—41no—
663C2×C22⋊C4—41no—
664C2×C22⋊C4—41no—
665C2×C22⋊C4—41no—
666C2×C22⋊C4—41no—
667C2×C22⋊C4—41no—
668C2×C22⋊C4—41no—
669C2×C22⋊C4—41no—
670C2×C22⋊C4—41no—
671C2×C22⋊C4—41no—
672C2×C22⋊C4—41no—
673C2×C22⋊C4—41no—
674C2×C22⋊C4—41no—
675C2×C22⋊C4—41no—
676C2×C22⋊C4—41no—
677C2×C22⋊C4—41no—
678C2×C22⋊C4—41no—
679C2×C22⋊C4—41no—
680C2×C22⋊C4—41no—
681C2×C22⋊C4—41no—
682C2×C22⋊C4—41no—
683C2×C22⋊C4—41no—
684C2×C22⋊C4—41no—
685C2×C22⋊C4—41no—
686C2×C22⋊C4—41no—
687C2×C22⋊C4—41no—
688C2×C22⋊C4—41no—
689C2×C22⋊C4—41no—
690C2×C22⋊C4—41no—
691C2×C22⋊C4—41no—
692C2×C22⋊C4—41no—
693C2×C22⋊C4—41no—
694C2×C22⋊C4—41no—
695C2×C22⋊C4—41no—
696C2×C22⋊C4—41no—
697C2×C22⋊C4—41no—
698C2×C22⋊C4—41no—
699C2×C22⋊C4—41no—
700C2×C22⋊C4—41no—
701C2×C22⋊C4—41no—
702C2×C22⋊C4—41no—
703C2×C22⋊C4—41no—
704C2×C22⋊C4—41no—
705C2×C22⋊C4—41no—
706C2×C22⋊C4—41no—
707C2×C22⋊C4—41no—
708C2×C22⋊C4—41no—
709C2×C22⋊C4—41no—
710C2×C22⋊C4—41no—
711C2×C22⋊C4—41no—
712C2×C22⋊C4—41no—
713C2×C22⋊C4—41no—
714C2×C22⋊C4—41no—
715C2×C22⋊C4—41no—
716C2×C22⋊C4—41no—
717C2×C22⋊C4—41no—
718C2×C22⋊C4—41no—
719C2×C22⋊C4—41no—
720C2×C22⋊C4—41no—
721C2×C22⋊C4—41no—
722C2×C22⋊C4—41no—
723C2×C22⋊C4—41no—
724C2×C22⋊C4#4114yes—
725C2×C22⋊C4#4114yes—
726C2×C42—22no—
727C2×C42—22no—
728C2×C42—22no—
729C2×C42—22no—
730C2×C42—22no—
731C2×C42—41no—
732C2×C42—41no—
733C2×C42—41no—
734C2×C42—41no—
735C2×C42—41no—
736C2×C42—41no—
737C2×C42—41no—
738C2×C42—41no—
739C2×C42—41no—
740C2×C42—41no—
741C2×C42—41no—
742C2×C42—41no—
743C2×C42—41no—
744C2×C42—41no—
745C2×C42—41no—
746C2×C42—41no—
747#95—22no—
748#95—22no—
749#95—22no—
750#95—22no—
751#95—22no—
752#95—22no—
753#95—22no—
754#95—22no—
755#95—22no—
756#95—22no—
757#95—22no—
758#95—22no—
759#95—22no—
760#95—22no—
761#95—22no—
762#95—22no—
763#95—22no—
764#95—22no—
765#95—22no—
766#95—22no—
767#95—22no—
768#95—22no—
769#95—41no—
770#95—41no—
771#95—41no—
772#95—41no—
773#95—41no—
774#95—41no—
775#95—41no—
776#95—41no—
777#95—41no—
778#95—41no—
779#95—41no—
780#95—41no—
781#95—41no—
782#95—41no—
783#95—41no—
784#95—41no—
785#95—41no—
786#95—41no—
787#95—41no—
788#95—41no—
789#95—41no—
790#95—41no—
791#95—41no—
792#95—41no—
793#95—41no—
794#95—41no—
795#95—41no—
796#95—41no—
797#95—41no—
798#95—41no—
799#95—41no—
800#95—41no—
801#95—41no—
802#95—41no—
803#95—41no—
804#95—41no—
805#95—41no—
806#95—41no—
807#95—41no—
808#95—41no—
809#95—41no—
810#95—41no—
811#95—41no—
812#95—41no—
813#95—41no—
814#95—41no—
815C24—21no—
816C24—21no—
817C24—21no—
818C24—21no—
819C24—21no—
820C24—21no—
821C24—21no—
822C24—21no—
823C24—21no—
824C24—21no—
825C24—21no—
826C24—21no—
827C24—21no—
828C24—21no—
829C24—21no—
830C24—21no—
831C24—21no—
832C24—21no—
833C24—21no—
834C24—21no—
835C24—21no—
836C24—21no—
837C24—21no—
838C24—21no—
839C24—21no—
840C24—21no—
841C24—21no—
842C24—21no—
843C24—21no—
844C24—21no—
845C24—21no—
846C24—21no—
847C24—21no—
848C24—21no—
849C24—21no—
850C24—21no—
851C24—21no—
852C24—21no—
853C24—21no—
854C24—21no—
855C24—21no—
856C24—21no—
857C24—21no—
858C24—21no—
859C24—21no—
860C24—21no—
861C24—21no—
862C24—21no—
863C24—21no—
864C24—21no—
865C24—21no—
866C24—21no—
867C24—21no—
868C24—21no—
869C24—21no—
870C24—21no—
871C24—21no—
872C24—21no—
873C24—21no—
874C24—21no—
875C24—21no—
876C24—21no—
877C24—21no—
878C24—21no—
879C24—21no—
880C24—21no—
881C24—21no—
882C24—21no—
883C24—21no—
884C24—44no—
885C24—44no—
886C24—44no—
887C24—44no—
888C24—44no—
889C24—44no—
890C24—44no—
891C24—44no—
892C24—44no—
893C24—44no—
894C24—44no—
895C24—44no—
896C24—44no—
897C24—82no—
898C24—82no—
899C24—82no—
900C24—82no—
901C24—82no—
902C24—82no—
903C24—82no—
904C24—82no—
905C24—82no—
906C24—82no—
907C24—82no—
908C24—82no—
909C24—82no—
910C24—82no—
911C24—82no—
912C24—82no—
913C24—82no—
914C24—82no—
915C24—82no—
916C24—82no—
917C24—82no—
918C24—82no—
919C24C2×#4112yes—
920C24C2×#4112yes—
921C24C2×#4112yes—
922C24C2×#4112yes—
923C24H(5,𝔽2)12yes—
924C24H(5,𝔽2)12yes—
925C24C2511yescharacteristic
926C2×D4—28no—
927C2×D4—28no—
928C2×D4—44no—
929C2×D4—44no—
930C2×D4—44no—
931C2×D4—44no—
932C2×D4—44no—
933C2×D4—44no—
934C2×D4—44no—
935C2×D4—44no—
936C2×D4—44no—
937C2×D4—44no—
938C2×D4—44no—
939C2×D4—44no—
940C2×D4—44no—
941C2×D4—44no—
942C2×D4—44no—
943C2×D4—44no—
944C2×D4—44no—
945C2×D4—44no—
946C2×D4—82no—
947C2×D4—82no—
948C2×D4—82no—
949C2×D4—82no—
950C2×D4—82no—
951C2×D4—82no—
952C2×D4—82no—
953C2×D4—82no—
954C2×D4—82no—
955C2×D4—82no—
956C2×D4—82no—
957C2×D4—82no—
958C2×D4—82no—
959C2×D4—82no—
960C2×D4—82no—
961C2×D4—82no—
962C2×D4—82no—
963C2×D4—82no—
964C2×D4—82no—
965C2×D4—82no—
966C2×D4—82no—
967C2×D4—82no—
968C2×D4—82no—
969C2×D4—82no—
970C2×D4—82no—
971C2×D4—82no—
972C2×D4—82no—
973C2×D4—82no—
974C2×D4—82no—
975C22×C4—21no—
976C22×C4—21no—
977C22×C4—21no—
978C22×C4—21no—
979C22×C4—21no—
980C22×C4—21no—
981C22×C4—21no—
982C22×C4—21no—
983C22×C4—21no—
984C22×C4—21no—
985C22×C4—21no—
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—21no—
995C22×C4—21no—
996C22×C4—21no—
997C22×C4—21no—
998C22×C4—21no—
999C22×C4—21no—
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—21no—
1067C22×C4—21no—
1068C22×C4—21no—
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—44no—
1147C22×C4—44no—
1148C22×C4—44no—
1149C22×C4—44no—
1150C22×C4—44no—
1151C22×C4—44no—
1152C22×C4—44no—
1153C22×C4—82no—
1154C22×C4—82no—
1155C22×C4—82no—
1156C22×C4—82no—
1157C22×C4—82no—
1158C22×C4—82no—
1159C22×C4—82no—
1160C22×C4—82no—
1161C22×C4—82no—
1162C22×C4—82no—
1163C22×C4—82no—
1164C22×C4—82no—
1165C22×C4—82no—
1166C22×C4—82no—
1167C22×C4C2×#4112yes—
1168C22×C4C2×#4112yes—
1169C22×C4C2×#4112yes—
1170C22×C4C2×#4112yes—
1171C22×C4C2×#4112yes—
1172C22×C4H(5,𝔽2)12yes—
1173C22×C4H(5,𝔽2)12yes—
1174C22×C4H(5,𝔽2)12yes—
1175C22×C4H(5,𝔽2)12yes—
1176C22×C4H(5,𝔽2)12yes—
1177C22×C4H(5,𝔽2)12yes—
1178C4⋊C4—44no—
1179C4⋊C4—44no—
1180C4⋊C4—44no—
1181C4⋊C4—82no—
1182C4⋊C4—82no—
1183C4⋊C4—82no—
1184C4⋊C4—82no—
1185C4⋊C4—82no—
1186C4⋊C4—82no—
1187C4⋊C4—82no—
1188C4⋊C4—82no—
1189C4⋊C4—82no—
1190C4⋊C4—82no—
1191C4⋊C4—82no—
1192C22⋊C4—28no—
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—44no—
1216C22⋊C4—82no—
1217C22⋊C4—82no—
1218C22⋊C4—82no—
1219C22⋊C4—82no—
1220C22⋊C4—82no—
1221C22⋊C4—82no—
1222C22⋊C4—82no—
1223C22⋊C4—82no—
1224C22⋊C4—82no—
1225C22⋊C4—82no—
1226C22⋊C4—82no—
1227C22⋊C4—82no—
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—
1247C42—44no—
1248C42—44no—
1249C42—82no—
1250C42—82no—
1251C42—82no—
1252C42—82no—
1253C42—82no—
1254C23—22no—
1255C23—22no—
1256C23—22no—
1257C23—22no—
1258C23—22no—
1259C23—22no—
1260C23—22no—
1261C23—22no—
1262C23—22no—
1263C23—22no—
1264C23—22no—
1265C23—22no—
1266C23—22no—
1267C23—22no—
1268C23—22no—
1269C23—22no—
1270C23—22no—
1271C23—22no—
1272C23—22no—
1273C23—22no—
1274C23—22no—
1275C23—22no—
1276C23—22no—
1277C23—22no—
1278C23—22no—
1279C23—22no—
1280C23—22no—
1281C23—22no—
1282C23—22no—
1283C23—22no—
1284C23—22no—
1285C23—22no—
1286C23—22no—
1287C23—22no—
1288C23—22no—
1289C23—22no—
1290C23—22no—
1291C23—22no—
1292C23—22no—
1293C23—41no—
1294C23—41no—
1295C23—41no—
1296C23—41no—
1297C23—41no—
1298C23—41no—
1299C23—41no—
1300C23—41no—
1301C23—41no—
1302C23—41no—
1303C23—41no—
1304C23—41no—
1305C23—41no—
1306C23—41no—
1307C23—41no—
1308C23—41no—
1309C23—416no—
1310C23—41no—
1311C23—41no—
1312C23—41no—
1313C23—41no—
1314C23—41no—
1315C23—41no—
1316C23—41no—
1317C23—41no—
1318C23—41no—
1319C23—41no—
1320C23—41no—
1321C23—41no—
1322C23—41no—
1323C23—41no—
1324C23—41no—
1325C23—41no—
1326C23—41no—
1327C23—41no—
1328C23—41no—
1329C23—41no—
1330C23—41no—
1331C23—41no—
1332C23—41no—
1333C23—41no—
1334C23—41no—
1335C23—41no—
1336C23—41no—
1337C23—41no—
1338C23—41no—
1339C23—41no—
1340C23—41no—
1341C23—41no—
1342C23—41no—
1343C23—41no—
1344C23—41no—
1345C23—41no—
1346C23—41no—
1347C23—41no—
1348C23—41no—
1349C23—41no—
1350C23—41no—
1351C23—41no—
1352C23—41no—
1353C23—41no—
1354C23—41no—
1355C23—41no—
1356C23—41no—
1357C23—41no—
1358C23—41no—
1359C23—41no—
1360C23—41no—
1361C23—41no—
1362C23—41no—
1363C23—41no—
1364C23—41no—
1365C23—41no—
1366C23—41no—
1367C23—41no—
1368C23—41no—
1369C23—41no—
1370C23—41no—
1371C23—41no—
1372C23—41no—
1373C23—41no—
1374C23—41no—
1375C23—41no—
1376C23—41no—
1377C23—41no—
1378C23—41no—
1379C23—41no—
1380C23—41no—
1381C23—41no—
1382C23—41no—
1383C23—41no—
1384C23—41no—
1385C23—41no—
1386C23—41no—
1387C23—41no—
1388C23—41no—
1389C23—41no—
1390C23—41no—
1391C23—41no—
1392C23—41no—
1393C23—41no—
1394C23—41no—
1395C23—41no—
1396C23—41no—
1397C23—41no—
1398C23—41no—
1399C23—41no—
1400C23—41no—
1401C23—41no—
1402C23—41no—
1403C23—41no—
1404C23—41no—
1405C23—41no—
1406C23—41no—
1407C23—41no—
1408C23—41no—
1409C23—41no—
1410C23—41no—
1411C23—41no—
1412C23—41no—
1413C23—41no—
1414C23—41no—
1415C23—41no—
1416C23—41no—
1417C23—41no—
1418C23—41no—
1419C23—41no—
1420C23—41no—
1421C23—41no—
1422C23—41no—
1423C23—41no—
1424C23—41no—
1425C23—41no—
1426C23—41no—
1427C23—41no—
1428C23—41no—
1429C23—88no—
1430C23—88no—
1431C23—88no—
1432C23—88no—
1433C23—88no—
1434C23—88no—
1435C23—88no—
1436C23—88no—
1437C23—88no—
1438C23—88no—
1439C23—88no—
1440C23—88no—
1441C23—88no—
1442C23—88no—
1443C23#55314yes—
1444C23C22×#4111yescharacteristic
1445C23C22×#4111yescharacteristic
1446C23C22×#4111yescharacteristic
1447C23C2×H(5,𝔽2)11yescharacteristic
1448C23C2×H(5,𝔽2)11yescharacteristic
1449C23C2×H(5,𝔽2)11yescharacteristic
1450C23C2×H(5,𝔽2)11yescharacteristic
1451C23C2×H(5,𝔽2)11yescharacteristic
1452C23C2×H(5,𝔽2)11yescharacteristic
1453C23C2×H(5,𝔽2)11yescharacteristic
1454C23C2×H(5,𝔽2)11yescharacteristic
1455C23#58511yescharacteristic
1456C23#58511yescharacteristic
1457C23#58511yescharacteristic
1458C23#58511yescharacteristic
1459D4—416no—
1460D4—88no—
1461D4—88no—
1462D4—88no—
1463D4—88no—
1464D4—88no—
1465D4—88no—
1466C2×C4—22no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—41no—
1497C2×C4—41no—
1498C2×C4—41no—
1499C2×C4—41no—
1500C2×C4—41no—
1501C2×C4—41no—
1502C2×C4—41no—
1503C2×C4—41no—
1504C2×C4—41no—
1505C2×C4—41no—
1506C2×C4—41no—
1507C2×C4—41no—
1508C2×C4—41no—
1509C2×C4—41no—
1510C2×C4—41no—
1511C2×C4—41no—
1512C2×C4—41no—
1513C2×C4—41no—
1514C2×C4—41no—
1515C2×C4—41no—
1516C2×C4—41no—
1517C2×C4—41no—
1518C2×C4—41no—
1519C2×C4—41no—
1520C2×C4—41no—
1521C2×C4—41no—
1522C2×C4—41no—
1523C2×C4—41no—
1524C2×C4—41no—
1525C2×C4—41no—
1526C2×C4—41no—
1527C2×C4—41no—
1528C2×C4—41no—
1529C2×C4—41no—
1530C2×C4—41no—
1531C2×C4—41no—
1532C2×C4—41no—
1533C2×C4—41no—
1534C2×C4—41no—
1535C2×C4—41no—
1536C2×C4—41no—
1537C2×C4—41no—
1538C2×C4—41no—
1539C2×C4—41no—
1540C2×C4—41no—
1541C2×C4—41no—
1542C2×C4—41no—
1543C2×C4—41no—
1544C2×C4—41no—
1545C2×C4—41no—
1546C2×C4—41no—
1547C2×C4—41no—
1548C2×C4—41no—
1549C2×C4—41no—
1550C2×C4—41no—
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—88no—
1648C2×C4—88no—
1649C2×C4—88no—
1650C2×C4#55114yes—
1651C22—24no—
1652C22—24no—
1653C22—24no—
1654C22—42no—
1655C22—42no—
1656C22—42no—
1657C22—42no—
1658C22—42no—
1659C22—42no—
1660C22—42no—
1661C22—42no—
1662C22—42no—
1663C22—42no—
1664C22—42no—
1665C22—42no—
1666C22—42no—
1667C22—42no—
1668C22—42no—
1669C22—42no—
1670C22—42no—
1671C22—42no—
1672C22—42no—
1673C22—42no—
1674C22—42no—
1675C22—42no—
1676C22—42no—
1677C22—42no—
1678C22—42no—
1679C22—42no—
1680C22—42no—
1681C22—42no—
1682C22—42no—
1683C22—42no—
1684C22—42no—
1685C22—42no—
1686C22—42no—
1687C22—832no—
1688C22—81no—
1689C22—81no—
1690C22—81no—
1691C22—81no—
1692C22—81no—
1693C22—81no—
1694C22—81no—
1695C22—81no—
1696C22—81no—
1697C22—81no—
1698C22—81no—
1699C22—81no—
1700C22—81no—
1701C22—81no—
1702C22—81no—
1703C22—81no—
1704C22—81no—
1705C22—81no—
1706C22—81no—
1707C22—81no—
1708C22—81no—
1709C22—81no—
1710C22—81no—
1711C22—81no—
1712C22—81no—
1713C22—81no—
1714C22—81no—
1715C22—81no—
1716C22—81no—
1717C22—81no—
1718C22—81no—
1719C22—81no—
1720C22—81no—
1721C22—81no—
1722C22—81no—
1723C22—81no—
1724C22—81no—
1725C22—81no—
1726C22—81no—
1727C22C2×#55111yescharacteristic
1728C22C2×#55311yescharacteristic
1729C22#348111yescharacteristic
1730C22#349411yescharacteristic
1731C22#349411yescharacteristic
1732C22#350511yescharacteristic
1733C22#350511yescharacteristic
1734C22#350611yescharacteristic
1735C22#351311yescharacteristic
1736C22#351311yescharacteristic
1737C22#351311yescharacteristic
1738C22#351311yescharacteristic
1739C22#351311yescharacteristic
1740C22#351411yescharacteristic
1741C22#351411yescharacteristic
1742C22#351911yescharacteristic
1743C22#351911yescharacteristic
1744C22#351911yescharacteristic
1745C22#352911yescharacteristic
1746C22#353211yescharacteristic
1747C22#353211yescharacteristic
1748C22#353211yescharacteristic
1749C22#353311yescharacteristic
1750C22#353311yescharacteristic
1751C22#353711yescharacteristic
1752C22#353711yescharacteristic
1753C22#354011yescharacteristic
1754C22#354211yescharacteristic
1755C22#354311yescharacteristic
1756C22#354311yescharacteristic
1757C22#354611yescharacteristic
1758C22#355811yescharacteristic
1759C22#355811yescharacteristic
1760C22#356211yescharacteristic
1761C22#356211yescharacteristic
1762C4—24no—
1763C4—42no—
1764C4—42no—
1765C4—42no—
1766C4—42no—
1767C4—42no—
1768C4—42no—
1769C4—42no—
1770C4—42no—
1771C4—81no—
1772C4—81no—
1773C4—81no—
1774C4—81no—
1775C4—81no—
1776C4—81no—
1777C4—81no—
1778C4—81no—
1779C4—81no—
1780C4—81no—
1781C4—81no—
1782C4—81no—
1783C4—81no—
1784C4—81no—
1785C4—81no—
1786C4—81no—
1787C4—81no—
1788C2—44no—
1789C2—82no—
1790C2—82no—
1791C2—82no—
1792C2—161no—
1793C2#4344011yescharacteristic
1794C2#4346311yescharacteristic
1795C2#4394111yescharacteristic
1796C2#4406311yescharacteristic
1797C2#4490311yescharacteristic
1798C2#4503111yescharacteristic
1799C2#4570611yescharacteristic
1800C2#4591211yescharacteristic
1801C2#4591711yescharacteristic
1802C2#4664211yescharacteristic
1803C2#4676811yescharacteristic
1804C2#4707911yescharacteristic
1805C2#5504011yescharacteristic
1806C2#5661011yescharacteristic
1807C2#5985111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
prime radical#15267C2
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C24 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #17232C2semidirect
2. #17138C2semidirect
3. #17095C2semidirect
4. #16087C2semidirect
5. #15979C2semidirect
6. #15815C2semidirect
7. #15777C2semidirect
8. #15643C2semidirect
9. #15605C2semidirect
10. #15594C2semidirect
11. #15498C2semidirect
12. #15483C2semidirect
13. #15420C2semidirect
14. #15299C2semidirect
15. #15281C2semidirect
17. #15245C2semidirect
18. #15041C2semidirect
19. #14947C2semidirect
20. #14918C2semidirect
21. #14750C2semidirect
22. #14718C2semidirect
23. #14444C2semidirect
24. #14413C2semidirect
25. #14376C2semidirect
26. #14376C2semidirect
27. #14366C2semidirect
28. #14358C2semidirect
29. #14187C2semidirect
30. #13977C2semidirect
31. #13967C2semidirect
36. C2×#400C22semidirect
37. C2×#400C22semidirect
44. C2×#394C22semidirect
53. C2×#389C22semidirect
60. C2×#388C22semidirect
61. C2×#388C22semidirect
62. C2×#387C22semidirect
68. C2×#386C22semidirect
71. C2×#385C22semidirect
72. C2×#385C22semidirect
73. C2×#384C22semidirect
80. C2×C4×C22⋊C4C22semidirect
81. #1445C22semidirect
82. #1443C22semidirect
83. #1443C22semidirect
84. #1443C22semidirect
85. #1443C22semidirect
86. #1443C22semidirect
87. #1443C22semidirect
88. #1443C22semidirect
89. #1442C22semidirect
90. #1442C22semidirect
91. #1442C22semidirect
92. #1442C22semidirect
93. #1442C22semidirect
94. #1441C22semidirect
95. #1441C22semidirect
96. #1441C22semidirect
105. #1440C22semidirect
106. #1440C22semidirect
107. #1440C22semidirect
108. #1440C22semidirect
109. #1440C22semidirect
110. #1440C22semidirect
111. #1440C22semidirect
132. #1439C22semidirect
133. #1439C22semidirect
134. #1439C22semidirect
135. #1439C22semidirect
136. #1439C22semidirect
137. #1439C22semidirect
138. #1439C22semidirect
139. #1439C22semidirect
153. #1438C22semidirect
154. #1438C22semidirect
164. #1437C22semidirect
165. #1437C22semidirect
166. #1437C22semidirect
167. #1437C22semidirect
168. #1436C22semidirect
169. #1436C22semidirect
170. #1436C22semidirect
171. #1436C22semidirect
172. #1436C22semidirect
173. #1436C22semidirect
174. #1436C22semidirect
175. #1436C22semidirect
176. #1436C22semidirect
177. C4⋊#95C22semidirect
178. C4⋊#95C22semidirect
179. #1434C22semidirect
180. #1434C22semidirect
181. #1434C22semidirect
186. C4×#95C22semidirect

Maximal subgroups

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

subgroupindex
#172322
#171382
#170952
#160872
#159792
#158152
#157772
#156432
#156052
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