Finite Group Databasebeta

← #12271991

Subgroups — #12271991

Order 1280.

2878 conjugacy classes of subgroups.

The subgroup lattice has 1724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#65994C211yesmaximal, characteristic, complemented
2C22×#4027C211yesmaximal, characteristic, complemented
3C5×#2418C211yesmaximal, characteristic, complemented
4#10614629C211yesmaximal, characteristic, complemented
5#10614336C211yesmaximal, characteristic
6#10614333C211yesmaximal, characteristic, complemented
7C4×#4083C211yesmaximal, characteristic, complemented
8#10614091C211yesmaximal, characteristic, complemented
9#10613843C211yesmaximal, characteristic, complemented
10#10609835C211yesmaximal, characteristic, complemented
11#10609782C211yesmaximal, characteristic, complemented
12#10609402C211yesmaximal, characteristic, complemented
13#10609277C211yesmaximal, characteristic, complemented
14#10608848C211yesmaximal, characteristic, complemented
15#10608846C211yesmaximal, characteristic, complemented
16#10608712C211yesmaximal, characteristic, complemented
17#10608706C211yesmaximal, characteristic, complemented
18#10607559C211yesmaximal, characteristic, complemented
19#10607247C211yesmaximal, characteristic, complemented
20#10607241C211yesmaximal, characteristic, complemented
21#10607188C211yesmaximal, characteristic, complemented
22#10606631C211yesmaximal, characteristic, complemented
23#10606621C211yesmaximal, characteristic, complemented
24#10606608C211yesmaximal, characteristic, complemented
25#10606601C211yesmaximal, characteristic, complemented
26D5×#385C211yesmaximal, characteristic, complemented
27#10606171C211yesmaximal, characteristic, complemented
28#10605729C211yesmaximal, characteristic, complemented
29#10605627C211yesmaximal, characteristic, complemented
30#10605584C211yesmaximal, characteristic, complemented
31#10605577C211yesmaximal, characteristic, complemented
32C23×C22⋊D5C2211yescharacteristic
33C24×Dic5C2211yescharacteristic
34C23×C4×D5C2211yescharacteristic
35C2×C5×#123C2211yescharacteristic, complemented
36C2×C5×#120C2211yescharacteristic
37C2×C4×C5×D4C2211yescharacteristic
38C22×C5×C22⋊C4C2211yescharacteristic
39C2×#4084C2211yescharacteristic
40C2×#4084C2211yescharacteristic
41C2×#4083C2211yescharacteristic
42C2×#4081C2211yescharacteristic, complemented
43C2×#4081C2211yescharacteristic, complemented
44C2×C4×C22⋊D5C2211yescharacteristic, complemented
45C2×C4×C22⋊D5C2211yescharacteristic, complemented
46C22×#685C2211yescharacteristic
47C2×#4070C2211yescharacteristic, complemented
48C22×#683C2211yescharacteristic
49C22×C4×Dic5C2211yescharacteristic
50#65994—28no—
51C2×#4042C2211yescharacteristic, complemented
52C2×D5×C4⋊C4C2211yescharacteristic, complemented
53C2×D5×C4⋊C4C2211yescharacteristic, complemented
54C2×#4036C2211yescharacteristic, complemented
55C2×#4035C2211yescharacteristic, complemented
56C2×#4029C2211yescharacteristic
57C2×#4029C2211yescharacteristic
58C2×#4029C2211yescharacteristic, complemented
59C2×#4027—28no—
60C2×#4027C2211yescharacteristic
61C2×#4027C2211yescharacteristic
62C2×#4027C2211yescharacteristic
63C2×#4027C2211yescharacteristic
64C2×#4027C2211yescharacteristic
65C2×#4027C2211yescharacteristic
66C2×#4027C2211yescharacteristic
67C2×#4027C2211yescharacteristic
68C2×D5×C22⋊C4C2211yescharacteristic
69C2×D5×C22⋊C4C2211yescharacteristic
70C2×#4025C2211yescharacteristic, complemented
71C2×#4025C2211yescharacteristic, complemented
72C2×#4024C2211yescharacteristic
73C2×#4024C2211yescharacteristic, complemented
74C2×#4024C2211yescharacteristic, complemented
75C5×#399C2211yescharacteristic, complemented
76C5×#397C2211yescharacteristic, complemented
77C5×#394C2211yescharacteristic, complemented
78C5×#394C2211yescharacteristic, complemented
79C5×#388C2211yescharacteristic, complemented
80C5×#388C2211yescharacteristic, complemented
81C5×#386C2211yescharacteristic
82C5×#386C2211yescharacteristic, complemented
83C5×#385C2211yescharacteristic
84C5×#380C2211yescharacteristic
85C5×#379C2211yescharacteristic
86#65536C2211yescharacteristic
87#65536C2211yescharacteristic
88#65512C2211yescharacteristic
89#65512C2211yescharacteristic
90#65509C2211yescharacteristic
91#65509C2211yescharacteristic
92#65509C2211yescharacteristic
93#65509C2211yescharacteristic, complemented
94#65509C2211yescharacteristic, complemented
95#65501C2211yescharacteristic
96#65499C2211yescharacteristic
97#65499C2211yescharacteristic
98#65499C2211yescharacteristic, complemented
99C4×C22⋊Dic5C2211yescharacteristic
100#65283C2211yescharacteristic, complemented
101#65281C2211yescharacteristic, complemented
102#65278C2211yescharacteristic, complemented
103#65278C2211yescharacteristic, complemented
104#65278C2211yescharacteristic, complemented
105#65278C2211yescharacteristic, complemented
106#65278C2211yescharacteristic, complemented
107#65274C2211yescharacteristic, complemented
108#65273C2211yescharacteristic, complemented
109#65273C2211yescharacteristic, complemented
110#65269C2211yescharacteristic, complemented
111#65268C2211yescharacteristic, complemented
112#65266C2211yescharacteristic, complemented
113#65262C2211yescharacteristic, complemented
114#65261C2211yescharacteristic, complemented
115#65250C2211yescharacteristic
116#65250C2211yescharacteristic
117#65250C2211yescharacteristic
118#65250C2211yescharacteristic
119#65250C2211yescharacteristic, complemented
120#65248C2211yescharacteristic
121#65248C2211yescharacteristic
122#65248C2211yescharacteristic, complemented
123#65245C2211yescharacteristic
124#65245C2211yescharacteristic
125#65245C2211yescharacteristic
126#65245C2211yescharacteristic
127#65245C2211yescharacteristic, complemented
128#65245C2211yescharacteristic, complemented
129#65245C2211yescharacteristic, complemented
130#65244C2211yescharacteristic
131#65242C2211yescharacteristic, complemented
132#65241C2211yescharacteristic, complemented
133#65241C2211yescharacteristic, complemented
134#65240C2211yescharacteristic, complemented
135#65240C2211yescharacteristic, complemented
136#65239C2211yescharacteristic
137#65239C2211yescharacteristic
138#65239C2211yescharacteristic
139#65239C2211yescharacteristic, complemented
140#65239C2211yescharacteristic, complemented
141#65238C2211yescharacteristic, complemented
142#65237C2211yescharacteristic, complemented
143#65237C2211yescharacteristic, complemented
144#65235C2211yescharacteristic
145#65235C2211yescharacteristic
146#65235C2211yescharacteristic
147#65235C2211yescharacteristic
148#65235C2211yescharacteristic, complemented
149#65235C2211yescharacteristic, complemented
150#65235C2211yescharacteristic, complemented
151#65235C2211yescharacteristic, complemented
152#65234C2211yescharacteristic, complemented
153#65234C2211yescharacteristic, complemented
154#65233C2211yescharacteristic, complemented
155#65233C2211yescharacteristic, complemented
156#65232C2211yescharacteristic, complemented
157#65232C2211yescharacteristic, complemented
158#65231C2211yescharacteristic
159#65231C2211yescharacteristic, complemented
160#65231C2211yescharacteristic, complemented
161C4×#685C2211yescharacteristic, complemented
162C4×#685C2211yescharacteristic, complemented
163#65222C2211yescharacteristic, complemented
164#65217C2211yescharacteristic, complemented
165#64965C2211yescharacteristic, complemented
166#64964C2211yescharacteristic, complemented
167#64963C2211yescharacteristic, complemented
168#64962C2211yescharacteristic, complemented
169#64957C2211yescharacteristic, complemented
170#64957C2211yescharacteristic, complemented
171#64957C2211yescharacteristic, complemented
172#64957C2211yescharacteristic, complemented
173#64956C2211yescharacteristic, complemented
174#64953C2211yescharacteristic, complemented
175D5×#95C2211yescharacteristic, complemented
176D5×#95C2211yescharacteristic, complemented
177#64947C2211yescharacteristic, complemented
178#64946C2211yescharacteristic, complemented
179#64944C2211yescharacteristic, complemented
180#64944C2211yescharacteristic, complemented
181#64944C2211yescharacteristic, complemented
182#64943C2211yescharacteristic, complemented
183#64943C2211yescharacteristic, complemented
184#64942C2211yescharacteristic, complemented
185#64942C2211yescharacteristic, complemented
186#64941C2211yescharacteristic, complemented
187#64941C2211yescharacteristic, complemented
188#64940C2211yescharacteristic, complemented
189#34991—51nomaximal, Sylow
190C25×C5C2311yescharacteristic
191C24×D5C2311yescharacteristic
192C22×C5×D4C2311yescharacteristic
193C22×C5×D4C2311yescharacteristic
194C22×C5×D4C2311yescharacteristic
195C23×C4×C5C2311yescharacteristic
196C23×C4×C5C2311yescharacteristic
197C23×C4×C5C2311yescharacteristic
198C22×C22⋊D5—24no—
199C22×C22⋊D5—24no—
200C22×C22⋊D5—24no—
201C22×C22⋊D5C2311yescharacteristic
202C22×C22⋊D5C2311yescharacteristic
203C22×C22⋊D5C2311yescharacteristic
204C22×C22⋊D5C2311yescharacteristic
205C22×C22⋊D5C2311yescharacteristic
206C22×C22⋊D5C2311yescharacteristic
207C23×Dic5—24no—
208C23×Dic5—42no—
209C23×Dic5—42no—
210C23×Dic5C2311yescharacteristic
211C23×Dic5C2311yescharacteristic
212C23×Dic5C2311yescharacteristic
213C23×Dic5C2311yescharacteristic
214C23×Dic5C2311yescharacteristic
215C23×Dic5C2311yescharacteristic
216C23×Dic5C2311yescharacteristic
217C22×C4×D5—24no—
218C22×C4×D5—42no—
219C22×C4×D5—42no—
220C22×C4×D5C2311yescharacteristic
221C22×C4×D5C2311yescharacteristic
222C22×C4×D5C2311yescharacteristic
223C22×C4×D5C2311yescharacteristic
224C22×C4×D5C2311yescharacteristic
225C22×C4×D5C2311yescharacteristic
226C22×C4×D5C2311yescharacteristic
227C22×C4×D5C2311yescharacteristic
228C22×Dic10C2311yescharacteristic
229C5×#123—24no—
230C5×#120—42no—
231C4×C5×D4—42no—
232C2×C5×C4⋊C4C2311yescharacteristic
233C2×C5×C4⋊C4C2311yescharacteristic
234C2×C5×C4⋊C4C2311yescharacteristic
235C2×C5×C4⋊C4C2311yescharacteristic
236C2×C5×C4⋊C4C2311yescharacteristic
237C2×C5×C22⋊C4—24no—
238C2×C5×C22⋊C4C2311yescharacteristic
239C2×C5×C22⋊C4C2311yescharacteristic
240C2×C5×C22⋊C4C2311yescharacteristic
241C2×C5×C22⋊C4C2311yescharacteristic
242C2×C5×C22⋊C4C2311yescharacteristic
243C2×C5×C22⋊C4C2311yescharacteristic
244C2×C5×C22⋊C4C2311yescharacteristic
245C2×C5×C22⋊C4C2311yescharacteristic
246C2×C5×C22⋊C4C2311yescharacteristic
247C2×C5×C22⋊C4C2311yescharacteristic
248C2×C5×C22⋊C4C2311yescharacteristic
249C2×C5×C22⋊C4C2311yescharacteristic
250C2×C5×C22⋊C4C2311yescharacteristic
251C2×C5×C22⋊C4C2311yescharacteristic
252C2×C5×C22⋊C4C2311yescharacteristic
253C2×C5×C22⋊C4C2311yescharacteristic
254C2×C42×C5C2311yescharacteristic
255C2×C22⋊Dic5C2311yescharacteristic
256C2×C22⋊Dic5C2311yescharacteristic
257C2×C22⋊Dic5C2311yescharacteristic
258C2×C22⋊Dic5C2311yescharacteristic
259C2×C22⋊Dic5C2311yescharacteristic
260C2×C22⋊Dic5C2311yescharacteristic
261C2×C22⋊Dic5C2311yescharacteristic
262C2×C22⋊Dic5C2311yescharacteristic
263C2×C22⋊Dic5C2311yescharacteristic
264C2×C22⋊Dic5C2311yescharacteristic
265C2×C22⋊Dic5C2311yescharacteristic
266C2×C22⋊Dic5C2311yescharacteristic
267C2×C22⋊Dic5C2311yescharacteristic
268C2×C22⋊Dic5C2311yescharacteristic
269C2×C22⋊Dic5C2311yescharacteristic
270C2×C22⋊Dic5C2311yescharacteristic
271C2×C22⋊Dic5C2311yescharacteristic
272C2×C22⋊Dic5C2311yescharacteristic
273#4084—24no—
274#4084—24no—
275#4083—24no—
276#4081—24no—
277#4081—42no—
278C4×C22⋊D5—24no—
279C4×C22⋊D5—42no—
280C2×#685—24no—
281C2×#685C2311yescharacteristic
282C2×#685C2311yescharacteristic
283C2×#685C2311yescharacteristic
284C2×#685C2311yescharacteristic
285C2×#685C2311yescharacteristic
286C2×#685C2311yescharacteristic
287C2×#685C2311yescharacteristic
288C2×#685C2311yescharacteristic
289C2×#685C2311yescharacteristic
290C2×#685C2311yescharacteristic
291C2×#685C2311yescharacteristic
292C2×#685C2311yescharacteristic
293C2×#685C2311yescharacteristic
294C2×#685C2311yescharacteristic
295C2×C4⋊Dic5C2311yescharacteristic
296C2×C4⋊Dic5C2311yescharacteristic
297C2×C4⋊Dic5C2311yescharacteristic
298C2×C4⋊Dic5C2311yescharacteristic
299C2×C4⋊Dic5C2311yescharacteristic
300C2×C4⋊Dic5C2311yescharacteristic
301C2×C4⋊Dic5C2311yescharacteristic
302C2×C4⋊Dic5C2311yescharacteristic
303C2×C4⋊Dic5C2311yescharacteristic
304#4070—24no—
305C2×#683—24no—
306C2×#683C2311yescharacteristic
307C2×#683C2311yescharacteristic
308C2×#683C2311yescharacteristic
309C2×#683C2311yescharacteristic
310C2×#683C2311yescharacteristic
311C2×#683C2311yescharacteristic
312C2×#683C2311yescharacteristic
313C2×#683C2311yescharacteristic
314C2×#683C2311yescharacteristic
315C2×#683C2311yescharacteristic
316C2×#683C2311yescharacteristic
317C2×#683C2311yescharacteristic
318C2×#683C2311yescharacteristic
319C2×#683C2311yescharacteristic
320C2×#683C2311yescharacteristic
321C2×#683C2311yescharacteristic
322C2×#683C2311yescharacteristic
323C2×#683C2311yescharacteristic
324C2×#683C2311yescharacteristic
325C2×#683C2311yescharacteristic
326C2×C4×Dic5—24no—
327C2×C4×Dic5C2311yescharacteristic
328C2×C4×Dic5C2311yescharacteristic
329C2×C4×Dic5C2311yescharacteristic
330C2×C4×Dic5C2311yescharacteristic
331C2×C4×Dic5C2311yescharacteristic
332C2×C4×Dic5C2311yescharacteristic
333#4042—24no—
334D5×C4⋊C4—24no—
335D5×C4⋊C4—42no—
336#4036—24no—
337#4035—24no—
338#4029—24no—
339#4029—24no—
340#4029—24no—
341#4027—24no—
342#4027—24no—
343#4027—24no—
344#4027—24no—
345#4027—24no—
346#4027—24no—
347#4027—24no—
348#4027D418yescomplemented
349D5×C22⋊C4—24no—
350D5×C22⋊C4—42no—
351#4025—24no—
352#4025—24no—
353#4024—24no—
354#4024—42no—
355#4024—42no—
356C5×#95C2311yescharacteristic
357C5×#95C2311yescharacteristic
358C5×#95C2311yescharacteristic
359C5×#95C2311yescharacteristic
360C5×#95C2311yescharacteristic
361C5×#95C2311yescharacteristic
362#3963C2311yescharacteristic
363#3963C2311yescharacteristic
364#3963C2311yescharacteristic
365#3963C2311yescharacteristic
366#3963C2311yescharacteristic
367#3963C2311yescharacteristic
368#3963C2311yescharacteristic
369#3963C2311yescharacteristic
370#3963C2311yescharacteristic
371#3963C2311yescharacteristic
372#3963C2311yescharacteristic
373#3963C2311yescharacteristic
374#3963C2311yescharacteristic
375#3963C2311yescharacteristic
376#3963C2311yescharacteristic
377#3963C2311yescharacteristic
378#3963C2311yescharacteristic
379#3963C2311yescharacteristic
380#3963C2311yescharacteristic
381#3963C2311yescharacteristic
382#3963C2311yescharacteristic
383#3963C2311yescharacteristic
384#3963C2311yescharacteristic
385#3963C2311yescharacteristic
386#3963C2311yescharacteristic
387#3963C2311yescharacteristic
388#3963C2311yescharacteristic
389#3963C2311yescharacteristic
390#3963C2311yescharacteristic
391#3963C2311yescharacteristic
392C2×#539—51no—
393C22×C4×D4—51no—
394#2852—51no—
395#2851—51no—
396#2849—51no—
397#2848—51no—
398#2638—51no—
399#2636—51no—
400#2633—51no—
401#2630—51no—
402#2480—51no—
403#2473—51no—
404#2466—51no—
405#2463—51no—
406#2460—51no—
407#2455—51no—
408#2449—51no—
409#2449—51no—
410#2443—51no—
411#2437—51no—
412#2425—51no—
413#2419—51no—
414#2418D511yescharacteristic, complemented
415#2412—51no—
416#2410—51no—
417#2405—51no—
418#2325—51no—
419#2322—51no—
420#2318—51no—
421C4×#120—51no—
422C2×#385—51no—
423C24×C5—22no—
424C24×C5—22no—
425C24×C5—22no—
426C24×C5—22no—
427C24×C5—22no—
428C24×C5—41no—
429C24×C5—41no—
430C24×C5C2411yescharacteristic
431C24×C5C2411yescharacteristic
432C24×C5C2411yescharacteristic
433C24×C5C2411yescharacteristic
434C23×D5—22no—
435C23×D5—22no—
436C23×D5—22no—
437C23×D5—22no—
438C23×D5—41no—
439C23×D5—41no—
440C23×D5#4114yes—
441C23×D5C2411yescharacteristic
442C23×D5C2411yescharacteristic
443C2×C5×D4—22no—
444C2×C5×D4—22no—
445C2×C5×D4—22no—
446C2×C5×D4—22no—
447C2×C5×D4—22no—
448C2×C5×D4—41no—
449C2×C5×D4—41no—
450C2×C5×D4—41no—
451C2×C5×D4—41no—
452C22×C4×C5—22no—
453C22×C4×C5—22no—
454C22×C4×C5—22no—
455C22×C4×C5—22no—
456C22×C4×C5—22no—
457C22×C4×C5—41no—
458C22×C4×C5—41no—
459C22×C4×C5—41no—
460C22×C4×C5—41no—
461C22×C4×C5C2411yescharacteristic
462C22×C4×C5C2411yescharacteristic
463C22×C4×C5C2411yescharacteristic
464C22×C4×C5C2411yescharacteristic
465C22×C4×C5C2411yescharacteristic
466C22×C4×C5C2411yescharacteristic
467C22×C4×C5C2411yescharacteristic
468C22×C4×C5C2411yescharacteristic
469C22×C4×C5C2411yescharacteristic
470C22×C4×C5C2411yescharacteristic
471C22×C4×C5C2411yescharacteristic
472C2×C22⋊D5—232no—
473C2×C22⋊D5—22no—
474C2×C22⋊D5—22no—
475C2×C22⋊D5—22no—
476C2×C22⋊D5—22no—
477C2×C22⋊D5—22no—
478C2×C22⋊D5—22no—
479C2×C22⋊D5—22no—
480C2×C22⋊D5—22no—
481C2×C22⋊D5—22no—
482C2×C22⋊D5—22no—
483C2×C22⋊D5—22no—
484C2×C22⋊D5—22no—
485C2×C22⋊D5—22no—
486C2×C22⋊D5—22no—
487C2×C22⋊D5—41no—
488C2×C22⋊D5—41no—
489C2×C22⋊D5C2×D414yes—
490C2×C22⋊D5#4114yes—
491C22×Dic5—22no—
492C22×Dic5—22no—
493C22×Dic5—22no—
494C22×Dic5—22no—
495C22×Dic5—22no—
496C22×Dic5—22no—
497C22×Dic5—22no—
498C22×Dic5—22no—
499C22×Dic5—22no—
500C22×Dic5—22no—
501C22×Dic5—22no—
502C22×Dic5—22no—
503C22×Dic5—22no—
504C22×Dic5—41no—
505C22×Dic5—41no—
506C22×Dic5—41no—
507C22×Dic5—41no—
508C22×Dic5—41no—
509C22×Dic5—41no—
510C22×Dic5—41no—
511C22×Dic5—416no—
512C22×Dic5C2×D414yes—
513C22×Dic5C2411yescharacteristic
514C22×Dic5C2411yescharacteristic
515C22×Dic5C2411yescharacteristic
516C22×Dic5C2411yescharacteristic
517C22×Dic5C2411yescharacteristic
518C22×Dic5C2411yescharacteristic
519C22×Dic5C2411yescharacteristic
520C22×Dic5C2411yescharacteristic
521C22×Dic5C2411yescharacteristic
522C22×Dic5C2411yescharacteristic
523C22×Dic5C2411yescharacteristic
524C22×Dic5C2411yescharacteristic
525C22×Dic5C2411yescharacteristic
526C22×Dic5C2411yescharacteristic
527C2×C4×D5—22no—
528C2×C4×D5—22no—
529C2×C4×D5—22no—
530C2×C4×D5—22no—
531C2×C4×D5—22no—
532C2×C4×D5—22no—
533C2×C4×D5—22no—
534C2×C4×D5—22no—
535C2×C4×D5—22no—
536C2×C4×D5—22no—
537C2×C4×D5—22no—
538C2×C4×D5—41no—
539C2×C4×D5—41no—
540C2×C4×D5—41no—
541C2×C4×D5—41no—
542C2×C4×D5—41no—
543C2×C4×D5—41no—
544C2×C4×D5—41no—
545C2×C4×D5—41no—
546C2×C4×D5—416no—
547C2×C4×D5—41no—
548C2×C4×D5—41no—
549C2×C4×D5—41no—
550C2×C4×D5—41no—
551C2×C4×D5C2×D414yes—
552C2×Dic10—22no—
553C2×Dic10—41no—
554C2×Dic10—41no—
555C5×C4⋊C4—22no—
556C5×C4⋊C4—22no—
557C5×C4⋊C4—41no—
558C5×C4⋊C4—41no—
559C5×C4⋊C4—41no—
560C5×C22⋊C4—22no—
561C5×C22⋊C4—22no—
562C5×C22⋊C4—22no—
563C5×C22⋊C4—22no—
564C5×C22⋊C4—22no—
565C5×C22⋊C4—22no—
566C5×C22⋊C4—22no—
567C5×C22⋊C4—22no—
568C5×C22⋊C4—22no—
569C5×C22⋊C4—41no—
570C5×C22⋊C4—41no—
571C5×C22⋊C4—41no—
572C5×C22⋊C4—41no—
573C5×C22⋊C4—41no—
574C5×C22⋊C4—41no—
575C5×C22⋊C4C2×D414yes—
576C42×C5—41no—
577C22⋊Dic5—22no—
578C22⋊Dic5—22no—
579C22⋊Dic5—22no—
580C22⋊Dic5—22no—
581C22⋊Dic5—22no—
582C22⋊Dic5—22no—
583C22⋊Dic5—22no—
584C22⋊Dic5—22no—
585C22⋊Dic5—22no—
586C22⋊Dic5—22no—
587C22⋊Dic5—22no—
588C22⋊Dic5—22no—
589C22⋊Dic5—22no—
590C22⋊Dic5—41no—
591C22⋊Dic5—41no—
592C22⋊Dic5—41no—
593C22⋊Dic5—41no—
594C22⋊Dic5—41no—
595#685—22no—
596#685—22no—
597#685—22no—
598#685—22no—
599#685—22no—
600#685—22no—
601#685—22no—
602#685—22no—
603#685—22no—
604#685—41no—
605#685—41no—
606#685—41no—
607#685—41no—
608#685C2×D414yes—
609C4⋊Dic5—22no—
610C4⋊Dic5—22no—
611C4⋊Dic5—22no—
612C4⋊Dic5—22no—
613C4⋊Dic5—22no—
614C4⋊Dic5—22no—
615C4⋊Dic5—22no—
616C4⋊Dic5—41no—
617C4⋊Dic5—41no—
618#683—22no—
619#683—22no—
620#683—22no—
621#683—22no—
622#683—22no—
623#683—22no—
624#683—22no—
625#683—22no—
626#683—22no—
627#683—22no—
628#683—22no—
629#683—22no—
630#683—22no—
631#683—41no—
632#683—41no—
633#683—41no—
634#683—41no—
635#683—41no—
636#683—41no—
637#683C2×D414yes—
638C4×Dic5—22no—
639C4×Dic5—22no—
640C4×Dic5—22no—
641C4×Dic5—22no—
642C4×Dic5—41no—
643C4×Dic5C2×D414yes—
644C23×D4—51no—
645C24×C4—51no—
646C24×C4—51no—
647#539—108no—
648C2×#126—51no—
649C2×#126—51no—
650C2×#125—51no—
651C2×#125—51no—
652C2×#123—51no—
653C2×#123—51no—
654C2×#123—51no—
655C2×#123—51no—
656C2×#123—51no—
657C2×#123C2×D511yescharacteristic, complemented
658C2×C22⋊Q8—51no—
659C2×C22⋊Q8—51no—
660C2×C22⋊Q8—51no—
661C2×C22⋊Q8—51no—
662C2×C22⋊Q8—51no—
663C2×#121—51no—
664C2×#121—51no—
665C2×#120—51no—
666C2×#120C2×D511yescharacteristic
667C2×C4×D4—51no—
668C2×C4×D4—51no—
669C2×C4×D4—51no—
670C2×C4×D4—51no—
671C2×C4×D4—51no—
672C2×C4×D4—51no—
673C2×C4×D4—51no—
674C2×C4×D4—51no—
675C2×C4×D4—51no—
676C2×C4×D4—51no—
677C2×C4×D4—108no—
678C2×C4×D4C2×D511yescharacteristic
679C22×C4⋊C4—51no—
680C22×C4⋊C4—51no—
681C22×C4⋊C4—51no—
682C22×C22⋊C4—51no—
683C22×C22⋊C4—51no—
684C22×C22⋊C4—51no—
685C22×C22⋊C4C2×D511yescharacteristic
686C22×C42—51no—
687#400—51no—
688#399—51no—
689#399—51no—
690#399C2×D511yescharacteristic, complemented
691#398—51no—
692#398—51no—
693#398—51no—
694#398—51no—
695#397—51no—
696#397—51no—
697#397—51no—
698#397—51no—
699#397—51no—
700#397C2×D511yescharacteristic, complemented
701#396—51no—
702#396—51no—
703#396—51no—
704#396—51no—
705#395—51no—
706#394—51no—
707#394—51no—
708#394—51no—
709#394—51no—
710#394—51no—
711#394—51no—
712#394—51no—
713#394—51no—
714#394C2×D511yescharacteristic, complemented
715#394C2×D511yescharacteristic, complemented
716#393—51no—
717#392—51no—
718#392—51no—
719#389—51no—
720#389—51no—
721#389—51no—
722#389—51no—
723#388—51no—
724#388—51no—
725#388—51no—
726#388—51no—
727#388—51no—
728#388—51no—
729#388C2×D511yescharacteristic, complemented
730#388C2×D511yescharacteristic, complemented
731#387—51no—
732#387—51no—
733#387—51no—
734#387—51no—
735#387—51no—
736#387—51no—
737#387—51no—
738#387—51no—
739#387—51no—
740#387—51no—
741#386—51no—
742#386—51no—
743#386—51no—
744#386—51no—
745#386—51no—
746#386—51no—
747#386—51no—
748#386—51no—
749#386—51no—
750#386—51no—
751#386—51no—
752#386—51no—
753#386C2×D511yescharacteristic
754#386C2×D511yescharacteristic, complemented
755#385—51no—
756#385—51no—
757#385—51no—
758#385—51no—
759#385—51no—
760#385—51no—
761#385—51no—
762#385—51no—
763#385—51no—
764#385—51no—
765#385—51no—
766#385—51no—
767#385—51no—
768#385—51no—
769#385—51no—
770#385—51no—
771#385—51no—
772#385—51no—
773#385—51no—
774#385—51no—
775#385—51no—
776#385—51no—
777#385—51no—
778#385—51no—
779#385—51no—
780#385C2×D511yescharacteristic
781#383—51no—
782#382—51no—
783#381—51no—
784#381—51no—
785#381—51no—
786#380—51no—
787#380—51no—
788#380—51no—
789#380—51no—
790#380—51no—
791#380C2×D511yescharacteristic
792#379—51no—
793#379—51no—
794#379—51no—
795#379C2×D511yescharacteristic
796C4×C22⋊C4—51no—
797C4×C22⋊C4—51no—
798C4×C22⋊C4—51no—
799C2×#95—51no—
800C2×#95—51no—
801C23×C5—21no—
802C23×C5—21no—
803C23×C5—21no—
804C23×C5—21no—
805C23×C5—28no—
806C23×C5—21no—
807C23×C5—21no—
808C23×C5—21no—
809C23×C5—21no—
810C23×C5—21no—
811C23×C5—21no—
812C23×C5—21no—
813C23×C5—21no—
814C23×C5—21no—
815C23×C5—21no—
816C23×C5—21no—
817C23×C5—21no—
818C23×C5—21no—
819C23×C5—21no—
820C23×C5—21no—
821C23×C5—21no—
822C23×C5—21no—
823C23×C5—21no—
824C23×C5—21no—
825C23×C5—44no—
826C23×C5—44no—
827C23×C5—44no—
828C23×C5—44no—
829C23×C5—44no—
830C23×C5—44no—
831C23×C5C22×D412yes—
832C23×C5C2×#4112yes—
833C23×C5C2×#4112yes—
834C23×C5H(5,𝔽2)12yes—
835C23×C52−1+412yes—
836C23×C5C2511yescharacteristic
837C22×D5—21no—
838C22×D5—21no—
839C22×D5—21no—
840C22×D5—21no—
841C22×D5—28no—
842C22×D5—21no—
843C22×D5—21no—
844C22×D5—21no—
845C22×D5—21no—
846C22×D5—21no—
847C22×D5—21no—
848C22×D5—28no—
849C22×D5—44no—
850C22×D5—44no—
851C22×D5—44no—
852C22×D5—44no—
853C22×D5—44no—
854C22×D5C22×D412yes—
855C22×D5C2×#4112yes—
856C22×D5C2×#4112yes—
857C22×D5C2×#4112yes—
858C5×D4—44no—
859C5×D4—82no—
860C5×D4—82no—
861C2×C4×C5—21no—
862C2×C4×C5—21no—
863C2×C4×C5—21no—
864C2×C4×C5—21no—
865C2×C4×C5—21no—
866C2×C4×C5—21no—
867C2×C4×C5—21no—
868C2×C4×C5—21no—
869C2×C4×C5—21no—
870C2×C4×C5—21no—
871C2×C4×C5—21no—
872C2×C4×C5—21no—
873C2×C4×C5—21no—
874C2×C4×C5—21no—
875C2×C4×C5—21no—
876C2×C4×C5—21no—
877C2×C4×C5—21no—
878C2×C4×C5—21no—
879C2×C4×C5—21no—
880C2×C4×C5—21no—
881C2×C4×C5—21no—
882C2×C4×C5—21no—
883C2×C4×C5—21no—
884C2×C4×C5—21no—
885C2×C4×C5—21no—
886C2×C4×C5—21no—
887C2×C4×C5—21no—
888C2×C4×C5—21no—
889C2×C4×C5—21no—
890C2×C4×C5—21no—
891C2×C4×C5—21no—
892C2×C4×C5—44no—
893C2×C4×C5—44no—
894C2×C4×C5—82no—
895C2×C4×C5C22×D412yes—
896C2×C4×C5C22×D412yes—
897C22⋊D5—28no—
898C22⋊D5—28no—
899C22⋊D5—28no—
900C22⋊D5—28no—
901C22⋊D5—44no—
902C22⋊D5—44no—
903C2×Dic5—28no—
904C2×Dic5—28no—
905C2×Dic5—21no—
906C2×Dic5—21no—
907C2×Dic5—21no—
908C2×Dic5—21no—
909C2×Dic5—21no—
910C2×Dic5—21no—
911C2×Dic5—21no—
912C2×Dic5—21no—
913C2×Dic5—21no—
914C2×Dic5—21no—
915C2×Dic5—21no—
916C2×Dic5—21no—
917C2×Dic5—21no—
918C2×Dic5—21no—
919C2×Dic5—21no—
920C2×Dic5—21no—
921C2×Dic5—21no—
922C2×Dic5—21no—
923C2×Dic5—21no—
924C2×Dic5—21no—
925C2×Dic5—21no—
926C2×Dic5—21no—
927C2×Dic5—21no—
928C2×Dic5—21no—
929C2×Dic5—21no—
930C2×Dic5—21no—
931C2×Dic5—21no—
932C2×Dic5—21no—
933C2×Dic5—21no—
934C2×Dic5—21no—
935C2×Dic5—21no—
936C2×Dic5—21no—
937C2×Dic5—21no—
938C2×Dic5—21no—
939C2×Dic5—21no—
940C2×Dic5—21no—
941C2×Dic5—21no—
942C2×Dic5—44no—
943C2×Dic5—44no—
944C2×Dic5—44no—
945C2×Dic5—44no—
946C2×Dic5—44no—
947C2×Dic5C22×D412yes—
948C2×Dic5C22×D412yes—
949C2×Dic5C22×D412yes—
950C2×Dic5C2×#4112yes—
951C2×Dic5H(5,𝔽2)12yes—
952C4×D5—44no—
953C4×D5—44no—
954C4×D5—44no—
955C4×D5—44no—
956C4×D5—44no—
957C4×D5—44no—
958C4×D5—82no—
959C4×D5—82no—
960Dic10—82no—
961C25—51no—
962C25C22×D511yescharacteristic
963C22×Q8—51no—
964C22×D4—51no—
965C22×D4—51no—
966C22×D4—51no—
967C22×D4—51no—
968C22×D4—51no—
969C22×D4—51no—
970C22×D4—104no—
971C22×D4—104no—
972C22×D4—104no—
973C22×D4C22×D511yescharacteristic
974C22×D4C22×D511yescharacteristic
975C22×D4C22×D511yescharacteristic
976C23×C4—51no—
977C23×C4—51no—
978C23×C4—51no—
979C23×C4—51no—
980C23×C4—51no—
981C23×C4—51no—
982C23×C4—51no—
983C23×C4—51no—
984C23×C4—51no—
985C23×C4—51no—
986C23×C4—51no—
987C23×C4—51no—
988C23×C4—51no—
989C23×C4—51no—
990C23×C4—51no—
991C23×C4—104no—
992C23×C4—104no—
993C23×C4—202no—
994C23×C4—202no—
995C23×C4—202no—
996C23×C4—202no—
997C23×C4C22×D511yescharacteristic
998C23×C4C22×D511yescharacteristic
999C23×C4C22×D511yescharacteristic
1000#126—104no—
1001#126—104no—
1002#125—104no—
1003#125—104no—
1004#123—24no—
1005#123—104no—
1006#123—104no—
1007#123—104no—
1008#123—104no—
1009#123—202no—
1010C22⋊Q8—104no—
1011C22⋊Q8—104no—
1012C22⋊Q8—104no—
1013C22⋊Q8—202no—
1014C22⋊Q8—202no—
1015#121—104no—
1016#121—104no—
1017#120—42no—
1018#120—104no—
1019C4×D4—42no—
1020C4×D4—58no—
1021C4×D4—104no—
1022C4×D4—104no—
1023C4×D4—104no—
1024C4×D4—104no—
1025C4×D4—104no—
1026C4×D4—104no—
1027C4×D4—104no—
1028C4×D4—104no—
1029C4×D4—202no—
1030C2×C4⋊C4—51no—
1031C2×C4⋊C4—51no—
1032C2×C4⋊C4—51no—
1033C2×C4⋊C4—51no—
1034C2×C4⋊C4—51no—
1035C2×C4⋊C4—51no—
1036C2×C4⋊C4—51no—
1037C2×C4⋊C4—51no—
1038C2×C4⋊C4—51no—
1039C2×C4⋊C4—51no—
1040C2×C4⋊C4—51no—
1041C2×C4⋊C4—51no—
1042C2×C4⋊C4—51no—
1043C2×C4⋊C4—51no—
1044C2×C4⋊C4—51no—
1045C2×C4⋊C4—51no—
1046C2×C4⋊C4—51no—
1047C2×C4⋊C4—51no—
1048C2×C4⋊C4—51no—
1049C2×C4⋊C4—51no—
1050C2×C4⋊C4—51no—
1051C2×C4⋊C4—51no—
1052C2×C4⋊C4—51no—
1053C2×C4⋊C4—51no—
1054C2×C4⋊C4—51no—
1055C2×C4⋊C4—51no—
1056C2×C4⋊C4—51no—
1057C2×C4⋊C4—51no—
1058C2×C4⋊C4—51no—
1059C2×C4⋊C4—104no—
1060C2×C4⋊C4—104no—
1061C2×C4⋊C4—202no—
1062C2×C4⋊C4C22×D511yescharacteristic
1063C2×C4⋊C4C22×D511yescharacteristic
1064C2×C4⋊C4C22×D511yescharacteristic
1065C2×C4⋊C4C22×D511yescharacteristic
1066C2×C4⋊C4C22×D511yescharacteristic
1067C2×C22⋊C4—24no—
1068C2×C22⋊C4—51no—
1069C2×C22⋊C4—51no—
1070C2×C22⋊C4—51no—
1071C2×C22⋊C4—51no—
1072C2×C22⋊C4—51no—
1073C2×C22⋊C4—51no—
1074C2×C22⋊C4—51no—
1075C2×C22⋊C4—51no—
1076C2×C22⋊C4—51no—
1077C2×C22⋊C4—51no—
1078C2×C22⋊C4—51no—
1079C2×C22⋊C4—51no—
1080C2×C22⋊C4—51no—
1081C2×C22⋊C4—51no—
1082C2×C22⋊C4—51no—
1083C2×C22⋊C4—51no—
1084C2×C22⋊C4—51no—
1085C2×C22⋊C4—51no—
1086C2×C22⋊C4—51no—
1087C2×C22⋊C4—51no—
1088C2×C22⋊C4—51no—
1089C2×C22⋊C4—51no—
1090C2×C22⋊C4—51no—
1091C2×C22⋊C4—51no—
1092C2×C22⋊C4—51no—
1093C2×C22⋊C4—51no—
1094C2×C22⋊C4—51no—
1095C2×C22⋊C4—51no—
1096C2×C22⋊C4—51no—
1097C2×C22⋊C4—51no—
1098C2×C22⋊C4—51no—
1099C2×C22⋊C4—51no—
1100C2×C22⋊C4—104no—
1101C2×C22⋊C4—104no—
1102C2×C22⋊C4—202no—
1103C2×C22⋊C4C22×D511yescharacteristic
1104C2×C22⋊C4C22×D511yescharacteristic
1105C2×C22⋊C4C22×D511yescharacteristic
1106C2×C22⋊C4C22×D511yescharacteristic
1107C2×C22⋊C4C22×D511yescharacteristic
1108C2×C22⋊C4C22×D511yescharacteristic
1109C2×C22⋊C4C22×D511yescharacteristic
1110C2×C22⋊C4C22×D511yescharacteristic
1111C2×C22⋊C4C22×D511yescharacteristic
1112C2×C22⋊C4C22×D511yescharacteristic
1113C2×C22⋊C4C22×D511yescharacteristic
1114C2×C22⋊C4C22×D511yescharacteristic
1115C2×C22⋊C4C22×D511yescharacteristic
1116C2×C22⋊C4C22×D511yescharacteristic
1117C2×C22⋊C4C22×D511yescharacteristic
1118C2×C22⋊C4C22×D511yescharacteristic
1119C2×C42—51no—
1120C2×C42—51no—
1121C2×C42—51no—
1122C2×C42—51no—
1123C2×C42—51no—
1124C2×C42—51no—
1125C2×C42—104no—
1126C2×C42C22×D511yescharacteristic
1127#95—51no—
1128#95—51no—
1129#95—51no—
1130#95—51no—
1131#95—51no—
1132#95—51no—
1133#95—51no—
1134#95—51no—
1135#95—51no—
1136#95—51no—
1137#95—51no—
1138#95—51no—
1139#95—51no—
1140#95—51no—
1141#95—51no—
1142#95—51no—
1143#95—51no—
1144#95—51no—
1145#95—51no—
1146#95—51no—
1147#95—51no—
1148#95—51no—
1149#95—51no—
1150#95—51no—
1151#95—51no—
1152#95—51no—
1153#95—51no—
1154#95—51no—
1155#95—51no—
1156#95—51no—
1157#95C22×D511yescharacteristic
1158#95C22×D511yescharacteristic
1159#95C22×D511yescharacteristic
1160#95C22×D511yescharacteristic
1161#95C22×D511yescharacteristic
1162#95C22×D511yescharacteristic
1163C22×C5—22no—
1164C22×C5—22no—
1165C22×C5—22no—
1166C22×C5—22no—
1167C22×C5—22no—
1168C22×C5—22no—
1169C22×C5—22no—
1170C22×C5—22no—
1171C22×C5—22no—
1172C22×C5—22no—
1173C22×C5—22no—
1174C22×C5—22no—
1175C22×C5—416no—
1176C22×C5—41no—
1177C22×C5—41no—
1178C22×C5—41no—
1179C22×C5—41no—
1180C22×C5—41no—
1181C22×C5—41no—
1182C22×C5—41no—
1183C22×C5—41no—
1184C22×C5—41no—
1185C22×C5—41no—
1186C22×C5—41no—
1187C22×C5—41no—
1188C22×C5—41no—
1189C22×C5—41no—
1190C22×C5—41no—
1191C22×C5#53914yescomplemented
1192C22×C5C23×D411yescharacteristic
1193C22×C5C22×#4111yescharacteristic
1194C22×C5C22×#4111yescharacteristic
1195C22×C5C2×H(5,𝔽2)11yescharacteristic
1196C22×C5C2×H(5,𝔽2)11yescharacteristic
1197C22×C5C2×2−1+411yescharacteristic
1198C22×C5#58511yescharacteristic
1199C2×D5—22no—
1200C2×D5—22no—
1201C2×D5—22no—
1202C2×D5—22no—
1203C2×D5—22no—
1204C2×D5—22no—
1205C2×D5—22no—
1206C2×D5—22no—
1207C2×D5—22no—
1208C2×D5—416no—
1209C2×D5—41no—
1210C2×D5—41no—
1211C2×D5—41no—
1212C2×D5—41no—
1213C2×D5#52514yes—
1214C4×C5—22no—
1215C4×C5—22no—
1216C4×C5—41no—
1217C4×C5—41no—
1218C4×C5—41no—
1219C4×C5—41no—
1220C4×C5—41no—
1221C4×C5—41no—
1222C4×C5—41no—
1223C4×C5—41no—
1224C4×C5—41no—
1225Dic5—22no—
1226Dic5—22no—
1227Dic5—22no—
1228Dic5—22no—
1229Dic5—22no—
1230Dic5—41no—
1231Dic5—41no—
1232Dic5—41no—
1233Dic5—41no—
1234Dic5—41no—
1235Dic5—41no—
1236Dic5—41no—
1237Dic5—41no—
1238Dic5—41no—
1239C24—22no—
1240C24—22no—
1241C24—22no—
1242C24—22no—
1243C24—22no—
1244C24—41no—
1245C24—41no—
1246C24—51no—
1247C24—51no—
1248C24—54no—
1249C24—102no—
1250C24—102no—
1251C24—102no—
1252C24—102no—
1253C24—201no—
1254C24—201no—
1255C24C23×D511yescharacteristic
1256C24C23×D511yescharacteristic
1257C24C23×D511yescharacteristic
1258C24C23×D511yescharacteristic
1259C2×Q8—102no—
1260C2×Q8—201no—
1261C2×Q8—201no—
1262C2×D4—22no—
1263C2×D4—22no—
1264C2×D4—22no—
1265C2×D4—22no—
1266C2×D4—22no—
1267C2×D4—41no—
1268C2×D4—41no—
1269C2×D4—41no—
1270C2×D4—41no—
1271C2×D4—54no—
1272C2×D4—54no—
1273C2×D4—102no—
1274C2×D4—102no—
1275C2×D4—102no—
1276C2×D4—102no—
1277C2×D4—102no—
1278C2×D4—102no—
1279C2×D4—102no—
1280C2×D4—102no—
1281C2×D4—1032no—
1282C2×D4—102no—
1283C2×D4—102no—
1284C2×D4—102no—
1285C2×D4—102no—
1286C2×D4—102no—
1287C2×D4—102no—
1288C2×D4—201no—
1289C2×D4—201no—
1290C22×C4—22no—
1291C22×C4—22no—
1292C22×C4—22no—
1293C22×C4—22no—
1294C22×C4—22no—
1295C22×C4—41no—
1296C22×C4—41no—
1297C22×C4—41no—
1298C22×C4—41no—
1299C22×C4—51no—
1300C22×C4—51no—
1301C22×C4—51no—
1302C22×C4—51no—
1303C22×C4—51no—
1304C22×C4—54no—
1305C22×C4—54no—
1306C22×C4—51no—
1307C22×C4—51no—
1308C22×C4—51no—
1309C22×C4—51no—
1310C22×C4—51no—
1311C22×C4—51no—
1312C22×C4—51no—
1313C22×C4—51no—
1314C22×C4—51no—
1315C22×C4—102no—
1316C22×C4—102no—
1317C22×C4—102no—
1318C22×C4—102no—
1319C22×C4—102no—
1320C22×C4—102no—
1321C22×C4—102no—
1322C22×C4—102no—
1323C22×C4—102no—
1324C22×C4—102no—
1325C22×C4—102no—
1326C22×C4—102no—
1327C22×C4—102no—
1328C22×C4—102no—
1329C22×C4—102no—
1330C22×C4—102no—
1331C22×C4—102no—
1332C22×C4—102no—
1333C22×C4—102no—
1334C22×C4—102no—
1335C22×C4—102no—
1336C22×C4—102no—
1337C22×C4—102no—
1338C22×C4—102no—
1339C22×C4—201no—
1340C22×C4—201no—
1341C22×C4—201no—
1342C22×C4—201no—
1343C22×C4—201no—
1344C22×C4—201no—
1345C22×C4—201no—
1346C22×C4—201no—
1347C22×C4—201no—
1348C22×C4—201no—
1349C22×C4—201no—
1350C22×C4—201no—
1351C22×C4—2016no—
1352C22×C4—201no—
1353C22×C4—201no—
1354C22×C4—201no—
1355C22×C4—201no—
1356C22×C4—201no—
1357C22×C4—201no—
1358C22×C4—201no—
1359C22×C4—2016no—
1360C22×C4C23×D511yescharacteristic
1361C22×C4C23×D511yescharacteristic
1362C22×C4C23×D511yescharacteristic
1363C22×C4C23×D511yescharacteristic
1364C22×C4C23×D511yescharacteristic
1365C22×C4C23×D511yescharacteristic
1366C22×C4C23×D511yescharacteristic
1367C22×C4C23×D511yescharacteristic
1368C22×C4C23×D511yescharacteristic
1369C22×C4C23×D511yescharacteristic
1370C22×C4C23×D511yescharacteristic
1371C4⋊C4—22no—
1372C4⋊C4—22no—
1373C4⋊C4—41no—
1374C4⋊C4—41no—
1375C4⋊C4—41no—
1376C4⋊C4—54no—
1377C4⋊C4—102no—
1378C4⋊C4—102no—
1379C4⋊C4—102no—
1380C4⋊C4—102no—
1381C4⋊C4—102no—
1382C4⋊C4—102no—
1383C4⋊C4—102no—
1384C4⋊C4—102no—
1385C4⋊C4—102no—
1386C4⋊C4—102no—
1387C4⋊C4—102no—
1388C4⋊C4—102no—
1389C4⋊C4—102no—
1390C4⋊C4—102no—
1391C4⋊C4—102no—
1392C4⋊C4—102no—
1393C4⋊C4—102no—
1394C4⋊C4—102no—
1395C4⋊C4—102no—
1396C4⋊C4—102no—
1397C4⋊C4—201no—
1398C4⋊C4—201no—
1399C4⋊C4—201no—
1400C4⋊C4—201no—
1401C4⋊C4—201no—
1402C4⋊C4—201no—
1403C4⋊C4—201no—
1404C4⋊C4—201no—
1405C22⋊C4—22no—
1406C22⋊C4—22no—
1407C22⋊C4—22no—
1408C22⋊C4—22no—
1409C22⋊C4—22no—
1410C22⋊C4—22no—
1411C22⋊C4—22no—
1412C22⋊C4—22no—
1413C22⋊C4—22no—
1414C22⋊C4—41no—
1415C22⋊C4—41no—
1416C22⋊C4—41no—
1417C22⋊C4—41no—
1418C22⋊C4—41no—
1419C22⋊C4—41no—
1420C22⋊C4—54no—
1421C22⋊C4—102no—
1422C22⋊C4—102no—
1423C22⋊C4—102no—
1424C22⋊C4—102no—
1425C22⋊C4—102no—
1426C22⋊C4—102no—
1427C22⋊C4—102no—
1428C22⋊C4—102no—
1429C22⋊C4—102no—
1430C22⋊C4—102no—
1431C22⋊C4—102no—
1432C22⋊C4—102no—
1433C22⋊C4—102no—
1434C22⋊C4—102no—
1435C22⋊C4—102no—
1436C22⋊C4—102no—
1437C22⋊C4—102no—
1438C22⋊C4—102no—
1439C22⋊C4—102no—
1440C22⋊C4—102no—
1441C22⋊C4—102no—
1442C22⋊C4—102no—
1443C22⋊C4—201no—
1444C22⋊C4—201no—
1445C22⋊C4—201no—
1446C22⋊C4—201no—
1447C22⋊C4—201no—
1448C22⋊C4—201no—
1449C22⋊C4—201no—
1450C22⋊C4—201no—
1451C22⋊C4—201no—
1452C22⋊C4D4×D514yes—
1453C42—41no—
1454C42—54no—
1455C42—102no—
1456C42—102no—
1457C42—102no—
1458C42—102no—
1459C42—201no—
1460C2×C5—24no—
1461C2×C5—42no—
1462C2×C5—42no—
1463C2×C5—81no—
1464C2×C5C2×#52511yescharacteristic
1465C2×C5C2×#53911yescharacteristic
1466C2×C5#345911yescharacteristic
1467C2×C5#348411yescharacteristic
1468C2×C5#348911yescharacteristic
1469C2×C5#351311yescharacteristic
1470C2×C5#352011yescharacteristic
1471D5—24no—
1472D5—42no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—28no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—21no—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—44no—
1498C23—44no—
1499C23—44no—
1500C23—44no—
1501C23—44no—
1502C23—44no—
1503C23—52no—
1504C23—52no—
1505C23—52no—
1506C23—52no—
1507C23—108no—
1508C23—101no—
1509C23—101no—
1510C23—101no—
1511C23—101no—
1512C23—108no—
1513C23—101no—
1514C23—101no—
1515C23—101no—
1516C23—101no—
1517C23—101no—
1518C23—101no—
1519C23—204no—
1520C23—204no—
1521C23—204no—
1522C23—204no—
1523C23—204no—
1524C23C2×D4×D512yes—
1525C23#414412yes—
1526C23D5×#4112yes—
1527C23D5×#4112yes—
1528C23#415012yes—
1529C23C24×D511yescharacteristic
1530Q8—402no—
1531D4—44no—
1532D4—82no—
1533D4—82no—
1534D4—108no—
1535D4—108no—
1536D4—108no—
1537D4—108no—
1538D4—204no—
1539D4—204no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—44no—
1572C2×C4—44no—
1573C2×C4—52no—
1574C2×C4—52no—
1575C2×C4—52no—
1576C2×C4—52no—
1577C2×C4—52no—
1578C2×C4—82no—
1579C2×C4—108no—
1580C2×C4—108no—
1581C2×C4—101no—
1582C2×C4—101no—
1583C2×C4—101no—
1584C2×C4—101no—
1585C2×C4—101no—
1586C2×C4—101no—
1587C2×C4—101no—
1588C2×C4—101no—
1589C2×C4—101no—
1590C2×C4—101no—
1591C2×C4—101no—
1592C2×C4—101no—
1593C2×C4—101no—
1594C2×C4—101no—
1595C2×C4—101no—
1596C2×C4—101no—
1597C2×C4—101no—
1598C2×C4—101no—
1599C2×C4—101no—
1600C2×C4—101no—
1601C2×C4—101no—
1602C2×C4—101no—
1603C2×C4—101no—
1604C2×C4—101no—
1605C2×C4—101no—
1606C2×C4—101no—
1607C2×C4—101no—
1608C2×C4—101no—
1609C2×C4—101no—
1610C2×C4—101no—
1611C2×C4—101no—
1612C2×C4—101no—
1613C2×C4—101no—
1614C2×C4—101no—
1615C2×C4—101no—
1616C2×C4—101no—
1617C2×C4—101no—
1618C2×C4—204no—
1619C2×C4—204no—
1620C2×C4—204no—
1621C2×C4—204no—
1622C2×C4—204no—
1623C2×C4—204no—
1624C2×C4—204no—
1625C2×C4—204no—
1626C2×C4—204no—
1627C2×C4—204no—
1628C2×C4—204no—
1629C2×C4—402no—
1630C2×C4—402no—
1631C2×C4C2×D4×D512yes—
1632C2×C4C2×D4×D512yes—
1633C5#3499111yescharacteristic, complemented, Sylow
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—22no—
1638C22—22no—
1639C22—22no—
1640C22—22no—
1641C22—22no—
1642C22—22no—
1643C22—22no—
1644C22—22no—
1645C22—22no—
1646C22—416no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—41no—
1655C22—41no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—54no—
1663C22—102no—
1664C22—102no—
1665C22—102no—
1666C22—102no—
1667C22—102no—
1668C22—102no—
1669C22—102no—
1670C22—102no—
1671C22—102no—
1672C22—2016no—
1673C22—201no—
1674C22—201no—
1675C22—201no—
1676C22—201no—
1677C22#6599414yescomplemented
1678C22C22×D4×D511yescharacteristic
1679C22C2×#414411yescharacteristic
1680C22C2×D5×#4111yescharacteristic
1681C22C2×D5×#4111yescharacteristic
1682C22C2×#415011yescharacteristic
1683C22D5×H(5,𝔽2)11yescharacteristic
1684C22#6628511yescharacteristic
1685C4—22no—
1686C4—22no—
1687C4—41no—
1688C4—41no—
1689C4—41no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C4—102no—
1697C4—102no—
1698C4—102no—
1699C4—102no—
1700C4—102no—
1701C4—201no—
1702C4—201no—
1703C4—201no—
1704C4—201no—
1705C4—201no—
1706C4—201no—
1707C4—201no—
1708C4—201no—
1709C4—201no—
1710C2—24no—
1711C2—42no—
1712C2—42no—
1713C2—81no—
1714C2—104no—
1715C2—202no—
1716C2C2×#6599411yescharacteristic
1717C2D5×#52511yescharacteristic
1718C2#1061828911yescharacteristic
1719C2#1061852111yescharacteristic
1720C2#1061853111yescharacteristic
1721C2#1061853611yescharacteristic
1722C2#1061869911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D5
commutator, socle, cosocleC23×C5C25
FittingC5×#2418C2
prime radical#10614336C2
hypercenter#2418D5
hypocenterC5#34991
LCSG ▷ C23×C5 ▷ C5
UCSC1 ◁ C23 ◁ #2418

Complements

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

NH ≅ G/Ntype
1. C2×#65994C2semidirect
2. C22×#4027C2semidirect
3. C5×#2418C2semidirect
4. #10614629C2semidirect
6. #10614333C2semidirect
7. C4×#4083C2semidirect
8. #10614091C2semidirect
9. #10613843C2semidirect
10. #10609835C2semidirect
11. #10609782C2semidirect
12. #10609402C2semidirect
13. #10609277C2semidirect
14. #10608848C2semidirect
15. #10608846C2semidirect
16. #10608712C2semidirect
17. #10608706C2semidirect
18. #10607559C2semidirect
19. #10607247C2semidirect
20. #10607241C2semidirect
21. #10607188C2semidirect
22. #10606631C2semidirect
23. #10606621C2semidirect
24. #10606608C2semidirect
25. #10606601C2semidirect
26. D5×#385C2semidirect
27. #10606171C2semidirect
28. #10605729C2semidirect
29. #10605627C2semidirect
30. #10605584C2semidirect
31. #10605577C2semidirect
35. C2×C5×#123C22semidirect
42. C2×#4081C22semidirect
43. C2×#4081C22semidirect
44. C2×C4×C22⋊D5C22semidirect
45. C2×C4×C22⋊D5C22semidirect
47. C2×#4070C22semidirect
51. C2×#4042C22semidirect
52. C2×D5×C4⋊C4C22semidirect
53. C2×D5×C4⋊C4C22semidirect
54. C2×#4036C22semidirect
55. C2×#4035C22semidirect
58. C2×#4029C22semidirect
70. C2×#4025C22semidirect
71. C2×#4025C22semidirect
73. C2×#4024C22semidirect
74. C2×#4024C22semidirect
75. C5×#399C22semidirect
76. C5×#397C22semidirect
77. C5×#394C22semidirect
78. C5×#394C22semidirect
79. C5×#388C22semidirect
80. C5×#388C22semidirect
82. C5×#386C22semidirect
93. #65509C22semidirect
94. #65509C22semidirect
98. #65499C22semidirect
100. #65283C22semidirect
101. #65281C22semidirect
102. #65278C22semidirect
103. #65278C22semidirect
104. #65278C22semidirect
105. #65278C22semidirect
106. #65278C22semidirect
107. #65274C22semidirect
108. #65273C22semidirect
109. #65273C22semidirect
110. #65269C22semidirect
111. #65268C22semidirect
112. #65266C22semidirect
113. #65262C22semidirect
114. #65261C22semidirect
119. #65250C22semidirect
122. #65248C22semidirect
127. #65245C22semidirect
128. #65245C22semidirect
129. #65245C22semidirect
131. #65242C22semidirect
132. #65241C22semidirect
133. #65241C22semidirect
134. #65240C22semidirect
135. #65240C22semidirect
139. #65239C22semidirect
140. #65239C22semidirect
141. #65238C22semidirect
142. #65237C22semidirect
143. #65237C22semidirect
148. #65235C22semidirect
149. #65235C22semidirect
150. #65235C22semidirect
151. #65235C22semidirect
152. #65234C22semidirect
153. #65234C22semidirect
154. #65233C22semidirect
155. #65233C22semidirect
156. #65232C22semidirect
157. #65232C22semidirect
159. #65231C22semidirect
160. #65231C22semidirect
161. C4×#685C22semidirect
162. C4×#685C22semidirect
163. #65222C22semidirect
164. #65217C22semidirect
165. #64965C22semidirect
166. #64964C22semidirect
167. #64963C22semidirect
168. #64962C22semidirect
169. #64957C22semidirect
170. #64957C22semidirect
171. #64957C22semidirect
172. #64957C22semidirect
173. #64956C22semidirect
174. #64953C22semidirect
175. D5×#95C22semidirect
176. D5×#95C22semidirect
177. #64947C22semidirect
178. #64946C22semidirect
179. #64944C22semidirect
180. #64944C22semidirect
181. #64944C22semidirect
182. #64943C22semidirect
183. #64943C22semidirect
184. #64942C22semidirect
185. #64942C22semidirect
186. #64941C22semidirect
187. #64941C22semidirect
188. #64940C22semidirect
348. #4027D4semidirect
414. #2418D5semidirect
657. C2×#123C2×D5semidirect
690. #399C2×D5semidirect
700. #397C2×D5semidirect
714. #394C2×D5semidirect
715. #394C2×D5semidirect
729. #388C2×D5semidirect
730. #388C2×D5semidirect
754. #386C2×D5semidirect
1191. C22×C5#539semidirect
1633. C5#34991semidirect
1677. C22#65994semidirect

Maximal subgroups

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

subgroupindex
C2×#659942
C22×#40272
C5×#24182
#106146292
#106143362
#106143332
C4×#40832
#106140912
#106138432
#106098352
#106097822
#106094022
#106092772
#106088482
#106088462
#106087122
#106087062
#106075592
#106072472
#106072412
#106071882
#106066312
#106066212
#106066082
#106066012
D5×#3852
#106061712
#106057292
#106056272
#106055842
#106055772
#349915