Finite Group Databasebeta

← #12262035

Subgroups — #12262035

Order 1280.

2502 conjugacy classes of subgroups.

The subgroup lattice has 1584 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D5×#123C211yesmaximal, characteristic
2C5×#2335C211yesmaximal, characteristic, complemented
3#10614568C211yesmaximal, characteristic, complemented
4#10608159C211yesmaximal, characteristic
5#10608031C211yesmaximal, characteristic, complemented
6#10607938C211yesmaximal, characteristic, complemented
7#10607931C211yesmaximal, characteristic, complemented
8#10607572C211yesmaximal, characteristic, complemented
9#10607564C211yesmaximal, characteristic, complemented
10#10607563C211yesmaximal, characteristic, complemented
11#10607556C211yesmaximal, characteristic, complemented
12#10607556C211yesmaximal, characteristic, complemented
13#10607218C211yesmaximal, characteristic, complemented
14#10607200C211yesmaximal, characteristic, complemented
15#10607199C211yesmaximal, characteristic, complemented
16#10607043C211yesmaximal, characteristic, complemented
17#10606706C211yesmaximal, characteristic, complemented
18#10606692C211yesmaximal, characteristic, complemented
19#10606692C211yesmaximal, characteristic, complemented
20#10606605C211yesmaximal, characteristic
21#10606401C211yesmaximal, characteristic, complemented
22#10606329C211yesmaximal, characteristic, complemented
23#10606326C211yesmaximal, characteristic, complemented
24#10605606C211yesmaximal, characteristic, complemented
25#10605593C211yesmaximal, characteristic, complemented
26#10605498C211yesmaximal, characteristic, complemented
27#10605398C211yesmaximal, characteristic, complemented
28#10605305C211yesmaximal, characteristic, complemented
29#10605292C211yesmaximal, characteristic, complemented
30#10605210C211yesmaximal, characteristic, complemented
31#10605182C211yesmaximal, characteristic, complemented
32C22×D4×D5C2211yescharacteristic
33C23×C4×D5C2211yescharacteristic
34C2×C5×#123C2211yescharacteristic
35C2×#4081C2211yescharacteristic
36C2×#4075C2211yescharacteristic
37C22×#685C2211yescharacteristic
38D5×#123C4116yescomplemented
39C2×#4040C2211yescharacteristic
40C2×#4040C2211yescharacteristic
41C2×#4038C2211yescharacteristic
42C2×#4038C2211yescharacteristic
43C2×#4038C2211yescharacteristic
44C2×D5×C4⋊C4C2211yescharacteristic
45C2×D5×C4⋊C4C2211yescharacteristic
46C2×#4032C2211yescharacteristic
47C2×#4029C2211yescharacteristic
48C2×#4029C2211yescharacteristic
49C2×D5×C22⋊C4C2211yescharacteristic
50C2×D5×C22⋊C4C2211yescharacteristic
51C2×D5×C22⋊C4C2211yescharacteristic
52C2×D5×C22⋊C4C2211yescharacteristic
53C2×#4018C2211yescharacteristic
54C2×#4018C2211yescharacteristic
55C2×#4018C2211yescharacteristic
56C5×#390C2211yescharacteristic
57C5×#389C2211yescharacteristic, complemented
58C5×#388C2211yescharacteristic, complemented
59C5×#388C2211yescharacteristic, complemented
60C5×#388C2211yescharacteristic, complemented
61C5×#388C2211yescharacteristic, complemented
62C5×#387C2211yescharacteristic, complemented
63C5×#387C2211yescharacteristic, complemented
64C5×#386C2211yescharacteristic
65C5×#385C2211yescharacteristic, complemented
66C5×#380C2211yescharacteristic, complemented
67C4×C5×C4⋊C4C2211yescharacteristic, complemented
68C4×C5×C22⋊C4C2211yescharacteristic, complemented
69C4×C5×C22⋊C4C2211yescharacteristic, complemented
70#65510C2211yescharacteristic
71#65509C2211yescharacteristic
72#65502C2211yescharacteristic
73#65501C2211yescharacteristic, complemented
74#65499C2211yescharacteristic, complemented
75C4×C22⋊Dic5C2211yescharacteristic, complemented
76C4×C22⋊Dic5C2211yescharacteristic, complemented
77#65279C2211yescharacteristic, complemented
78#65279C2211yescharacteristic, complemented
79#65279C2211yescharacteristic, complemented
80#65279C2211yescharacteristic, complemented
81#65278C2211yescharacteristic, complemented
82#65278C2211yescharacteristic, complemented
83#65277C2211yescharacteristic
84#65276C2211yescharacteristic
85#65276C2211yescharacteristic
86#65276C2211yescharacteristic, complemented
87#65276C2211yescharacteristic, complemented
88#65274C2211yescharacteristic, complemented
89#65270C2211yescharacteristic, complemented
90#65270C2211yescharacteristic, complemented
91#65267C2211yescharacteristic, complemented
92#65267C2211yescharacteristic, complemented
93C4⋊C4×Dic5C2211yescharacteristic, complemented
94C4⋊C4×Dic5C2211yescharacteristic, complemented
95#65262C2211yescharacteristic, complemented
96#65261C2211yescharacteristic, complemented
97#65261C2211yescharacteristic, complemented
98#65247C2211yescharacteristic
99#65246C2211yescharacteristic
100#65246C2211yescharacteristic
101#65246C2211yescharacteristic
102#65246C2211yescharacteristic
103#65245C2211yescharacteristic
104#65245C2211yescharacteristic
105#65244C2211yescharacteristic
106#65244C2211yescharacteristic
107#65244C2211yescharacteristic
108#65244C2211yescharacteristic
109#65244C2211yescharacteristic
110#65244C2211yescharacteristic
111#65240C2211yescharacteristic, complemented
112#65240C2211yescharacteristic, complemented
113#65240C2211yescharacteristic, complemented
114#65240C2211yescharacteristic, complemented
115#65239C2211yescharacteristic, complemented
116#65235C2211yescharacteristic, complemented
117#65234C2211yescharacteristic, complemented
118#65234C2211yescharacteristic, complemented
119#65234C2211yescharacteristic, complemented
120#65234C2211yescharacteristic, complemented
121#65233C2211yescharacteristic, complemented
122#65233C2211yescharacteristic, complemented
123#65233C2211yescharacteristic, complemented
124#65233C2211yescharacteristic, complemented
125#65231C2211yescharacteristic, complemented
126#65231C2211yescharacteristic, complemented
127C22⋊C4×Dic5C2211yescharacteristic, complemented
128C22⋊C4×Dic5C2211yescharacteristic, complemented
129C22⋊C4×Dic5C2211yescharacteristic, complemented
130C22⋊C4×Dic5C2211yescharacteristic, complemented
131#65229C2211yescharacteristic, complemented
132#65229C2211yescharacteristic, complemented
133#65229C2211yescharacteristic, complemented
134#65229C2211yescharacteristic, complemented
135#65228C2211yescharacteristic
136C4×#685C2211yescharacteristic
137C4×#685C2211yescharacteristic
138C4×#685C2211yescharacteristic, complemented
139C4×#685C2211yescharacteristic, complemented
140C4×#685C2211yescharacteristic, complemented
141C4×#685C2211yescharacteristic, complemented
142C4×C4⋊Dic5C2211yescharacteristic, complemented
143#65222C2211yescharacteristic, complemented
144#65222C2211yescharacteristic, complemented
145C4×#683C2211yescharacteristic, complemented
146C4×#683C2211yescharacteristic, complemented
147#65217C2211yescharacteristic, complemented
148#64959C2211yescharacteristic, complemented
149#64959C2211yescharacteristic, complemented
150#64959C2211yescharacteristic, complemented
151#64959C2211yescharacteristic, complemented
152#64958C2211yescharacteristic, complemented
153#64958C2211yescharacteristic, complemented
154#64958C2211yescharacteristic, complemented
155#64958C2211yescharacteristic, complemented
156#64957C2211yescharacteristic, complemented
157#64957C2211yescharacteristic, complemented
158#64956C2211yescharacteristic
159#64956C2211yescharacteristic
160#64956C2211yescharacteristic, complemented
161#64956C2211yescharacteristic, complemented
162#64955C2211yescharacteristic
163#64955C2211yescharacteristic
164#64955C2211yescharacteristic, complemented
165#64955C2211yescharacteristic, complemented
166#64955C2211yescharacteristic, complemented
167#64955C2211yescharacteristic, complemented
168#64954C2211yescharacteristic
169#64954C2211yescharacteristic
170#64953C2211yescharacteristic
171#64953C2211yescharacteristic
172#64953C2211yescharacteristic
173#64953C2211yescharacteristic
174#64953C2211yescharacteristic
175#64953C2211yescharacteristic
176#64944C2211yescharacteristic, complemented
177#64944C2211yescharacteristic, complemented
178#64943C2211yescharacteristic, complemented
179#64943C2211yescharacteristic, complemented
180#64942C2211yescharacteristic, complemented
181#64942C2211yescharacteristic, complemented
182#64941C2211yescharacteristic, complemented
183#64941C2211yescharacteristic, complemented
184#64938C2211yescharacteristic, complemented
185#64938C2211yescharacteristic, complemented
186#64936C2211yescharacteristic, complemented
187#64936C2211yescharacteristic, complemented
188#34357—51nomaximal, Sylow
189C24×D5C2311yescharacteristic
190C24×D5C2311yescharacteristic
191C22×C5×D4C2311yescharacteristic
192C23×C4×C5C2311yescharacteristic
193C23×C4×C5C2311yescharacteristic
194C22×C22⋊D5C2311yescharacteristic
195C22×C22⋊D5C2311yescharacteristic
196C23×Dic5C2311yescharacteristic
197C23×Dic5C2311yescharacteristic
198C2×D4×D5—42no—
199C2×D4×D5—42no—
200C2×D4×D5C2×C418yes—
201C22×D20C2311yescharacteristic
202C22×C4×D5—42no—
203C22×C4×D5—42no—
204C22×C4×D5C2×C418yescomplemented
205C22×C4×D5C2311yescharacteristic
206C22×C4×D5C2311yescharacteristic
207C22×C4×D5C2311yescharacteristic
208C22×C4×D5C2311yescharacteristic
209C22×C4×D5C2311yescharacteristic
210C22×C4×D5C2311yescharacteristic
211C22×C4×D5C2311yescharacteristic
212C22×C4×D5C2311yescharacteristic
213C22×C4×D5C2311yescharacteristic
214C5×#123C2×C418yescomplemented
215C2×C5×C4⋊C4C2311yescharacteristic
216C2×C5×C4⋊C4C2311yescharacteristic
217C2×C5×C4⋊C4C2311yescharacteristic
218C2×C5×C4⋊C4C2311yescharacteristic
219C2×C5×C4⋊C4C2311yescharacteristic
220C2×C5×C4⋊C4C2311yescharacteristic
221C2×C5×C4⋊C4C2311yescharacteristic
222C2×C5×C22⋊C4C2311yescharacteristic
223C2×C5×C22⋊C4C2311yescharacteristic
224C2×C5×C22⋊C4C2311yescharacteristic
225C2×C5×C22⋊C4C2311yescharacteristic
226C2×C5×C22⋊C4C2311yescharacteristic
227C2×C5×C22⋊C4C2311yescharacteristic
228C2×C5×C22⋊C4C2311yescharacteristic
229C2×C5×C22⋊C4C2311yescharacteristic
230C2×C5×C22⋊C4C2311yescharacteristic
231C2×C5×C22⋊C4C2311yescharacteristic
232C2×C42×C5C2311yescharacteristic
233C2×C42×C5C2311yescharacteristic
234C2×C42×C5C2311yescharacteristic
235C2×C42×C5C2311yescharacteristic
236C2×C42×C5C2311yescharacteristic
237C2×C22⋊Dic5C2311yescharacteristic
238C2×C22⋊Dic5C2311yescharacteristic
239C2×C22⋊Dic5C2311yescharacteristic
240C2×C22⋊Dic5C2311yescharacteristic
241C2×C22⋊Dic5C2311yescharacteristic
242C2×C22⋊Dic5C2311yescharacteristic
243C2×C22⋊Dic5C2311yescharacteristic
244C2×C22⋊Dic5C2311yescharacteristic
245C2×C22⋊Dic5C2311yescharacteristic
246C2×C22⋊Dic5C2311yescharacteristic
247#4081C2×C418yescomplemented
248#4075C2×C418yescomplemented
249C2×#685—42no—
250C2×#685C2311yescharacteristic
251C2×#685C2311yescharacteristic
252C2×#685C2311yescharacteristic
253C2×#685C2311yescharacteristic
254C2×#685C2311yescharacteristic
255C2×#685C2311yescharacteristic
256C2×#685C2311yescharacteristic
257C2×#685C2311yescharacteristic
258C2×#685C2311yescharacteristic
259C2×#685C2311yescharacteristic
260C2×#685C2311yescharacteristic
261C2×#685C2311yescharacteristic
262C2×#685C2311yescharacteristic
263C2×#685C2311yescharacteristic
264C2×#685C2311yescharacteristic
265C2×#685C2311yescharacteristic
266C2×#685C2311yescharacteristic
267C2×#685C2311yescharacteristic
268C2×#685C2311yescharacteristic
269C2×#685C2311yescharacteristic
270C2×#685C2311yescharacteristic
271C2×#685C2311yescharacteristic
272C2×#685C2311yescharacteristic
273C2×#685C2311yescharacteristic
274C2×#685C2311yescharacteristic
275C2×#685C2311yescharacteristic
276C2×#685C2311yescharacteristic
277C2×#685C2311yescharacteristic
278C2×C4⋊Dic5C2311yescharacteristic
279C2×C4⋊Dic5C2311yescharacteristic
280C2×C4⋊Dic5C2311yescharacteristic
281C2×C4⋊Dic5C2311yescharacteristic
282C2×C4⋊Dic5C2311yescharacteristic
283C2×C4⋊Dic5C2311yescharacteristic
284C2×C4⋊Dic5C2311yescharacteristic
285C2×#683C2311yescharacteristic
286C2×#683C2311yescharacteristic
287C2×#683C2311yescharacteristic
288C2×#683C2311yescharacteristic
289C2×#683C2311yescharacteristic
290C2×#683C2311yescharacteristic
291C2×#683C2311yescharacteristic
292C2×#683C2311yescharacteristic
293C2×#683C2311yescharacteristic
294C2×#683C2311yescharacteristic
295C2×#683C2311yescharacteristic
296C2×#683C2311yescharacteristic
297C2×#683C2311yescharacteristic
298C2×#683C2311yescharacteristic
299C2×C4×Dic5C2311yescharacteristic
300C2×C4×Dic5C2311yescharacteristic
301C2×C4×Dic5C2311yescharacteristic
302C2×C4×Dic5C2311yescharacteristic
303C2×C4×Dic5C2311yescharacteristic
304C2×C4×Dic5C2311yescharacteristic
305C2×C4×Dic5C2311yescharacteristic
306C2×C4×Dic5C2311yescharacteristic
307C2×C4×Dic5C2311yescharacteristic
308C2×C4×Dic5C2311yescharacteristic
309C2×C4×Dic5C2311yescharacteristic
310C2×C4×Dic5C2311yescharacteristic
311C2×C4×Dic5C2311yescharacteristic
312C2×C4×Dic5C2311yescharacteristic
313C2×C4×Dic5C2311yescharacteristic
314#4040C2×C418yescomplemented
315#4040C2×C418yescomplemented
316#4038—42no—
317#4038—42no—
318#4038—42no—
319D5×C4⋊C4C2×C418yescomplemented
320D5×C4⋊C4C2×C418yescomplemented
321#4032C2×C418yescomplemented
322#4029C2×C418yescomplemented
323#4029C2×C418yescomplemented
324D5×C22⋊C4—42no—
325D5×C22⋊C4C2×C418yes—
326D5×C22⋊C4C2×C418yes—
327D5×C22⋊C4C2×C418yescomplemented
328#4018—42no—
329#4018—42no—
330#4018—42no—
331C5×#95C2311yescharacteristic
332C5×#95C2311yescharacteristic
333C5×#95C2311yescharacteristic
334C5×#95C2311yescharacteristic
335C5×#95C2311yescharacteristic
336C5×#95C2311yescharacteristic
337C5×#95C2311yescharacteristic
338C5×#95C2311yescharacteristic
339C5×#95C2311yescharacteristic
340C5×#95C2311yescharacteristic
341#3963C2311yescharacteristic
342#3963C2311yescharacteristic
343#3963C2311yescharacteristic
344#3963C2311yescharacteristic
345#3963C2311yescharacteristic
346#3963C2311yescharacteristic
347#3963C2311yescharacteristic
348#3963C2311yescharacteristic
349#3963C2311yescharacteristic
350#3963C2311yescharacteristic
351#3963C2311yescharacteristic
352#3963C2311yescharacteristic
353#3963C2311yescharacteristic
354#3963C2311yescharacteristic
355#3963C2311yescharacteristic
356#3963C2311yescharacteristic
357#3963C2311yescharacteristic
358#3963C2311yescharacteristic
359#3963C2311yescharacteristic
360#3963C2311yescharacteristic
361#3963C2311yescharacteristic
362#3963C2311yescharacteristic
363#3963C2311yescharacteristic
364#3963C2311yescharacteristic
365#3963C2311yescharacteristic
366#3963C2311yescharacteristic
367#3963C2311yescharacteristic
368#3963C2311yescharacteristic
369#3963C2311yescharacteristic
370#3963C2311yescharacteristic
371C22×#123—51no—
372#2376—51no—
373#2376—51no—
374#2376—51no—
375#2376—51no—
376#2374—51no—
377#2374—51no—
378#2374—51no—
379#2374—51no—
380#2344—51no—
381#2344—51no—
382#2344—51no—
383#2344—51no—
384#2342—51no—
385#2342—51no—
386#2342—51no—
387#2342—51no—
388#2335—51no—
389#2335—51no—
390#2335—51no—
391#2335—51no—
392#2335—51no—
393#2335—51no—
394#2335—51no—
395#2335D511yescharacteristic, complemented
396#2312—51no—
397#2312—51no—
398#2309—51no—
399#2308—51no—
400#2280—51no—
401#2280—51no—
402C24×C5C2411yescharacteristic
403C24×C5C2411yescharacteristic
404C23×D5—22no—
405C23×D5—22no—
406C23×D5—22no—
407C23×D5—22no—
408C23×D5—41no—
409C23×D5—41no—
410C23×D5—41no—
411C23×D5—41no—
412C23×D5—41no—
413C23×D5—41no—
414C23×D5—41no—
415C23×D5—41no—
416C23×D5C22×C414yes—
417C23×D5C22×C414yes—
418C23×D5C2411yescharacteristic
419C23×D5C2411yescharacteristic
420C23×D5C2411yescharacteristic
421C2×C5×D4—41no—
422C2×C5×D4—41no—
423C2×C5×D4C22×C414yes—
424C22×C4×C5—41no—
425C22×C4×C5—41no—
426C22×C4×C5—41no—
427C22×C4×C5—41no—
428C22×C4×C5—41no—
429C22×C4×C5C22×C414yes—
430C22×C4×C5C2411yescharacteristic
431C22×C4×C5C2411yescharacteristic
432C22×C4×C5C2411yescharacteristic
433C22×C4×C5C2411yescharacteristic
434C22×C4×C5C2411yescharacteristic
435C22×C4×C5C2411yescharacteristic
436C22×C4×C5C2411yescharacteristic
437C22×C4×C5C2411yescharacteristic
438C22×C4×C5C2411yescharacteristic
439C22×C4×C5C2411yescharacteristic
440C22×C4×C5C2411yescharacteristic
441C22×C4×C5C2411yescharacteristic
442C22×C4×C5C2411yescharacteristic
443C2×C22⋊D5—41no—
444C2×C22⋊D5—41no—
445C2×C22⋊D5—41no—
446C2×C22⋊D5—41no—
447C2×C22⋊D5C22×C414yes—
448C2×C22⋊D5C22×C414yes—
449C22×Dic5—41no—
450C22×Dic5—41no—
451C22×Dic5—41no—
452C22×Dic5—41no—
453C22×Dic5—41no—
454C22×Dic5C22×C414yes—
455C22×Dic5C2411yescharacteristic
456C22×Dic5C2411yescharacteristic
457C22×Dic5C2411yescharacteristic
458C22×Dic5C2411yescharacteristic
459C22×Dic5C2411yescharacteristic
460C22×Dic5C2411yescharacteristic
461C22×Dic5C2411yescharacteristic
462C22×Dic5C2411yescharacteristic
463C22×Dic5C2411yescharacteristic
464C22×Dic5C2411yescharacteristic
465C22×Dic5C2411yescharacteristic
466C22×Dic5C2411yescharacteristic
467C22×Dic5C2411yescharacteristic
468D4×D5—416no—
469C2×D20—41no—
470C2×D20—41no—
471C2×D20C22×C414yes—
472C2×C4×D5—22no—
473C2×C4×D5—22no—
474C2×C4×D5—22no—
475C2×C4×D5—22no—
476C2×C4×D5—22no—
477C2×C4×D5—22no—
478C2×C4×D5—416no—
479C2×C4×D5—41no—
480C2×C4×D5—41no—
481C2×C4×D5—41no—
482C2×C4×D5—41no—
483C2×C4×D5—41no—
484C2×C4×D5—41no—
485C2×C4×D5—41no—
486C2×C4×D5—41no—
487C2×C4×D5—41no—
488C2×C4×D5—41no—
489C2×C4×D5—41no—
490C2×C4×D5—41no—
491C2×C4×D5—41no—
492C2×C4×D5—41no—
493C2×C4×D5C22×C414yes—
494C2×C4×D5C22×C414yes—
495C2×C4×D5C22×C414yes—
496C2×C4×D5C22×C414yes—
497C2×C4×D5C22×C414yes—
498C2×C4×D5C22×C414yes—
499C2×C4×D5C22×C414yes—
500C5×C4⋊C4—41no—
501C5×C4⋊C4—41no—
502C5×C4⋊C4—41no—
503C5×C4⋊C4—41no—
504C5×C4⋊C4—41no—
505C5×C4⋊C4C22×C414yes—
506C5×C4⋊C4C22×C414yes—
507C5×C22⋊C4—41no—
508C5×C22⋊C4—41no—
509C5×C22⋊C4—41no—
510C5×C22⋊C4—41no—
511C5×C22⋊C4—41no—
512C5×C22⋊C4—41no—
513C5×C22⋊C4—41no—
514C5×C22⋊C4C22×C414yes—
515C5×C22⋊C4C22×C414yes—
516C5×C22⋊C4C22×C414yes—
517C42×C5—41no—
518C42×C5—41no—
519C42×C5—41no—
520C42×C5—41no—
521C42×C5—41no—
522C22⋊Dic5—41no—
523C22⋊Dic5—41no—
524C22⋊Dic5—41no—
525C22⋊Dic5—41no—
526C22⋊Dic5—41no—
527C22⋊Dic5—41no—
528C22⋊Dic5—41no—
529C22⋊Dic5C22×C414yes—
530C22⋊Dic5C22×C414yes—
531C22⋊Dic5C22×C414yes—
532#685—22no—
533#685—22no—
534#685—22no—
535#685—22no—
536#685—22no—
537#685—22no—
538#685—22no—
539#685—22no—
540#685—41no—
541#685—41no—
542#685—41no—
543#685—41no—
544#685—41no—
545#685—41no—
546#685—41no—
547#685—41no—
548#685—41no—
549#685—41no—
550#685—41no—
551#685—41no—
552#685—41no—
553#685—41no—
554#685C22×C414yes—
555#685C22×C414yes—
556#685C22×C414yes—
557#685C22×C414yes—
558#685C22×C414yes—
559#685C22×C414yes—
560C4⋊Dic5—41no—
561C4⋊Dic5—41no—
562C4⋊Dic5—41no—
563C4⋊Dic5—41no—
564C4⋊Dic5—41no—
565C4⋊Dic5C22×C414yes—
566C4⋊Dic5C22×C414yes—
567#683—41no—
568#683—41no—
569#683—41no—
570#683—41no—
571#683—41no—
572#683—41no—
573#683—41no—
574#683—41no—
575#683—41no—
576#683—41no—
577#683C22×C414yes—
578#683C22×C414yes—
579#683C22×C414yes—
580#683C22×C414yes—
581C4×Dic5—41no—
582C4×Dic5—41no—
583C4×Dic5—41no—
584C4×Dic5—41no—
585C4×Dic5—41no—
586C4×Dic5—41no—
587C4×Dic5—41no—
588C4×Dic5—41no—
589C4×Dic5—41no—
590C4×Dic5—41no—
591C4×Dic5—41no—
592C4×Dic5—41no—
593C4×Dic5—41no—
594C4×Dic5—41no—
595C4×Dic5—41no—
596C23×D4—51no—
597C24×C4—51no—
598C2×#123—51no—
599C2×#123—51no—
600C2×#123—516no—
601C2×#123—51no—
602C2×#123—51no—
603C2×#123—51no—
604C2×#123—51no—
605C2×#123—51no—
606C2×#123C2×D511yescharacteristic
607C2×#117—51no—
608C2×#117—51no—
609C2×#117—51no—
610C2×#117—51no—
611C2×#117—51no—
612C2×#117—51no—
613C22×C4⋊C4—51no—
614C22×C4⋊C4—51no—
615C22×C22⋊C4—51no—
616C22×C22⋊C4—51no—
617C22×C22⋊C4—51no—
618C22×C22⋊C4—51no—
619C22×C22⋊C4—51no—
620#390—51no—
621#390—51no—
622#390—51no—
623#390—51no—
624#390—51no—
625#390—51no—
626#390—51no—
627#390C2×D511yescharacteristic
628#389—51no—
629#389—51no—
630#389—51no—
631#389—51no—
632#389—51no—
633#389—51no—
634#389—51no—
635#389C2×D511yescharacteristic, complemented
636#388—51no—
637#388—51no—
638#388—51no—
639#388—51no—
640#388—51no—
641#388—51no—
642#388—51no—
643#388—51no—
644#388—51no—
645#388—51no—
646#388—51no—
647#388—51no—
648#388—51no—
649#388—51no—
650#388—51no—
651#388—51no—
652#388—51no—
653#388—51no—
654#388—51no—
655#388—51no—
656#388—51no—
657#388—51no—
658#388—51no—
659#388—51no—
660#388—51no—
661#388—51no—
662#388—51no—
663#388—51no—
664#388C2×D511yescharacteristic, complemented
665#388C2×D511yescharacteristic, complemented
666#388C2×D511yescharacteristic, complemented
667#388C2×D511yescharacteristic, complemented
668#387—51no—
669#387—51no—
670#387—51no—
671#387—51no—
672#387—51no—
673#387—51no—
674#387—51no—
675#387—51no—
676#387—51no—
677#387—51no—
678#387—51no—
679#387—51no—
680#387—51no—
681#387—51no—
682#387C2×D511yescharacteristic, complemented
683#387C2×D511yescharacteristic, complemented
684#386—51no—
685#386—51no—
686#386—51no—
687#386—51no—
688#386—51no—
689#386—51no—
690#386—51no—
691#386C2×D511yescharacteristic
692#385—51no—
693#385—51no—
694#385—51no—
695#385—51no—
696#385—51no—
697#385—51no—
698#385—51no—
699#385C2×D511yescharacteristic, complemented
700#381—51no—
701#381—51no—
702#381—51no—
703#381—51no—
704#381—51no—
705#381—51no—
706#380—51no—
707#380—51no—
708#380—51no—
709#380—51no—
710#380—51no—
711#380—51no—
712#380—51no—
713#380—51no—
714#380—51no—
715#380—51no—
716#380—51no—
717#380C2×D511yescharacteristic, complemented
718#379—51no—
719#379—51no—
720#379—51no—
721#379—51no—
722#379—51no—
723#379—51no—
724C4×C4⋊C4—51no—
725C4×C4⋊C4—51no—
726C4×C4⋊C4—51no—
727C4×C4⋊C4—51no—
728C4×C4⋊C4—51no—
729C4×C4⋊C4—51no—
730C4×C4⋊C4—51no—
731C4×C4⋊C4C2×D511yescharacteristic, complemented
732C4×C22⋊C4—51no—
733C4×C22⋊C4—51no—
734C4×C22⋊C4—51no—
735C4×C22⋊C4—51no—
736C4×C22⋊C4—51no—
737C4×C22⋊C4—51no—
738C4×C22⋊C4—51no—
739C4×C22⋊C4—51no—
740C4×C22⋊C4—51no—
741C4×C22⋊C4—51no—
742C4×C22⋊C4—51no—
743C4×C22⋊C4—51no—
744C4×C22⋊C4—51no—
745C4×C22⋊C4—51no—
746C4×C22⋊C4—51no—
747C4×C22⋊C4—51no—
748C4×C22⋊C4—51no—
749C4×C22⋊C4—51no—
750C4×C22⋊C4C2×D511yescharacteristic, complemented
751C4×C22⋊C4C2×D511yescharacteristic, complemented
752C23×C5—21no—
753C23×C5—21no—
754C23×C5—21no—
755C23×C5—21no—
756C23×C5—21no—
757C23×C5—21no—
758C23×C5—21no—
759C23×C5—21no—
760C23×C5—21no—
761C23×C5—21no—
762C23×C5—21no—
763C23×C5—21no—
764C23×C5C23×C412yes—
765C23×C5C23×C412yes—
766C23×C5C2511yescharacteristic
767C22×D5—21no—
768C22×D5—21no—
769C22×D5—21no—
770C22×D5—21no—
771C22×D5—21no—
772C22×D5—21no—
773C22×D5—21no—
774C22×D5—21no—
775C22×D5—21no—
776C22×D5—21no—
777C22×D5—21no—
778C22×D5—21no—
779C22×D5—21no—
780C22×D5—21no—
781C22×D5—21no—
782C22×D5—21no—
783C22×D5—28no—
784C22×D5—28no—
785C22×D5—44no—
786C22×D5—44no—
787C22×D5—44no—
788C22×D5—44no—
789C22×D5—44no—
790C22×D5—44no—
791C22×D5—44no—
792C22×D5—44no—
793C22×D5—82no—
794C22×D5—82no—
795C22×D5—82no—
796C22×D5—82no—
797C22×D5C23×C412yes—
798C22×D5C23×C412yes—
799C22×D5C23×C412yes—
800C22×D5H(5,𝔽2)12yes—
801C22×D5H(5,𝔽2)12yes—
802C5×D4—44no—
803C2×C4×C5—21no—
804C2×C4×C5—21no—
805C2×C4×C5—21no—
806C2×C4×C5—21no—
807C2×C4×C5—21no—
808C2×C4×C5—21no—
809C2×C4×C5—21no—
810C2×C4×C5—21no—
811C2×C4×C5—21no—
812C2×C4×C5—21no—
813C2×C4×C5—21no—
814C2×C4×C5—21no—
815C2×C4×C5—21no—
816C2×C4×C5—21no—
817C2×C4×C5—21no—
818C2×C4×C5—21no—
819C2×C4×C5—21no—
820C2×C4×C5—21no—
821C2×C4×C5—21no—
822C2×C4×C5—21no—
823C2×C4×C5—21no—
824C2×C4×C5—21no—
825C2×C4×C5—21no—
826C2×C4×C5—21no—
827C2×C4×C5—21no—
828C2×C4×C5—21no—
829C2×C4×C5—21no—
830C2×C4×C5—21no—
831C2×C4×C5—21no—
832C2×C4×C5—21no—
833C2×C4×C5—21no—
834C2×C4×C5—21no—
835C2×C4×C5—21no—
836C2×C4×C5—21no—
837C2×C4×C5—44no—
838C2×C4×C5—82no—
839C2×C4×C5C23×C412yes—
840C2×C4×C5C23×C412yes—
841C2×C4×C5C23×C412yes—
842C2×C4×C5C23×C412yes—
843C2×C4×C5C23×C412yes—
844C22⋊D5—44no—
845C22⋊D5—44no—
846C2×Dic5—21no—
847C2×Dic5—21no—
848C2×Dic5—21no—
849C2×Dic5—21no—
850C2×Dic5—21no—
851C2×Dic5—21no—
852C2×Dic5—21no—
853C2×Dic5—21no—
854C2×Dic5—21no—
855C2×Dic5—21no—
856C2×Dic5—21no—
857C2×Dic5—21no—
858C2×Dic5—21no—
859C2×Dic5—21no—
860C2×Dic5—21no—
861C2×Dic5—21no—
862C2×Dic5—21no—
863C2×Dic5—21no—
864C2×Dic5—21no—
865C2×Dic5—21no—
866C2×Dic5—21no—
867C2×Dic5—21no—
868C2×Dic5—21no—
869C2×Dic5—21no—
870C2×Dic5—21no—
871C2×Dic5—21no—
872C2×Dic5—21no—
873C2×Dic5—21no—
874C2×Dic5—21no—
875C2×Dic5—21no—
876C2×Dic5—21no—
877C2×Dic5—21no—
878C2×Dic5—21no—
879C2×Dic5—21no—
880C2×Dic5—44no—
881C2×Dic5—82no—
882C2×Dic5C23×C412yes—
883C2×Dic5C23×C412yes—
884C2×Dic5C23×C412yes—
885C2×Dic5C23×C412yes—
886C2×Dic5C23×C412yes—
887D20—44no—
888C4×D5—28no—
889C4×D5—28no—
890C4×D5—28no—
891C4×D5—44no—
892C4×D5—44no—
893C4×D5—44no—
894C4×D5—44no—
895C4×D5—82no—
896C4×D5—82no—
897C25—51no—
898C25—51no—
899C22×D4—51no—
900C22×D4—51no—
901C22×D4—58no—
902C22×D4—51no—
903C22×D4—202no—
904C22×D4—202no—
905C22×D4C22×D511yescharacteristic
906C23×C4—51no—
907C23×C4—51no—
908C23×C4—51no—
909C23×C4—51no—
910C23×C4—58no—
911C23×C4—51no—
912C23×C4—51no—
913C23×C4—51no—
914C23×C4—51no—
915C23×C4—51no—
916C23×C4—51no—
917C23×C4—51no—
918C23×C4—202no—
919C23×C4—202no—
920C23×C4C22×D511yescharacteristic
921C23×C4C22×D511yescharacteristic
922#123—58no—
923#123—58no—
924#123—58no—
925#123—58no—
926#123—58no—
927#123—58no—
928#123—58no—
929#123C4×D518yescomplemented
930#117—202no—
931#117—202no—
932#117—202no—
933#117—202no—
934#117—202no—
935#117—202no—
936C2×C4⋊C4—51no—
937C2×C4⋊C4—51no—
938C2×C4⋊C4—51no—
939C2×C4⋊C4—51no—
940C2×C4⋊C4—51no—
941C2×C4⋊C4—51no—
942C2×C4⋊C4—58no—
943C2×C4⋊C4—58no—
944C2×C4⋊C4—51no—
945C2×C4⋊C4—51no—
946C2×C4⋊C4—51no—
947C2×C4⋊C4—51no—
948C2×C4⋊C4—51no—
949C2×C4⋊C4—51no—
950C2×C4⋊C4—51no—
951C2×C4⋊C4—51no—
952C2×C4⋊C4—51no—
953C2×C4⋊C4—51no—
954C2×C4⋊C4—51no—
955C2×C4⋊C4—51no—
956C2×C4⋊C4—51no—
957C2×C4⋊C4—51no—
958C2×C4⋊C4—51no—
959C2×C4⋊C4C22×D511yescharacteristic
960C2×C4⋊C4C22×D511yescharacteristic
961C2×C4⋊C4C22×D511yescharacteristic
962C2×C4⋊C4C22×D511yescharacteristic
963C2×C4⋊C4C22×D511yescharacteristic
964C2×C4⋊C4C22×D511yescharacteristic
965C2×C4⋊C4C22×D511yescharacteristic
966C2×C22⋊C4—51no—
967C2×C22⋊C4—51no—
968C2×C22⋊C4—51no—
969C2×C22⋊C4—51no—
970C2×C22⋊C4—51no—
971C2×C22⋊C4—51no—
972C2×C22⋊C4—51no—
973C2×C22⋊C4—51no—
974C2×C22⋊C4—51no—
975C2×C22⋊C4—58no—
976C2×C22⋊C4—58no—
977C2×C22⋊C4—58no—
978C2×C22⋊C4—51no—
979C2×C22⋊C4—51no—
980C2×C22⋊C4—51no—
981C2×C22⋊C4—51no—
982C2×C22⋊C4—51no—
983C2×C22⋊C4—51no—
984C2×C22⋊C4—51no—
985C2×C22⋊C4—51no—
986C2×C22⋊C4—51no—
987C2×C22⋊C4—51no—
988C2×C22⋊C4—51no—
989C2×C22⋊C4—51no—
990C2×C22⋊C4—51no—
991C2×C22⋊C4—51no—
992C2×C22⋊C4—51no—
993C2×C22⋊C4—51no—
994C2×C22⋊C4—51no—
995C2×C22⋊C4—51no—
996C2×C22⋊C4—51no—
997C2×C22⋊C4—51no—
998C2×C22⋊C4—51no—
999C2×C22⋊C4—51no—
1000C2×C22⋊C4—51no—
1001C2×C22⋊C4—51no—
1002C2×C22⋊C4—51no—
1003C2×C22⋊C4—51no—
1004C2×C22⋊C4—51no—
1005C2×C22⋊C4—51no—
1006C2×C22⋊C4—51no—
1007C2×C22⋊C4—202no—
1008C2×C22⋊C4—202no—
1009C2×C22⋊C4C22×D511yescharacteristic
1010C2×C22⋊C4C22×D511yescharacteristic
1011C2×C22⋊C4C22×D511yescharacteristic
1012C2×C22⋊C4C22×D511yescharacteristic
1013C2×C22⋊C4C22×D511yescharacteristic
1014C2×C22⋊C4C22×D511yescharacteristic
1015C2×C22⋊C4C22×D511yescharacteristic
1016C2×C22⋊C4C22×D511yescharacteristic
1017C2×C22⋊C4C22×D511yescharacteristic
1018C2×C22⋊C4C22×D511yescharacteristic
1019C2×C42—51no—
1020C2×C42—51no—
1021C2×C42—51no—
1022C2×C42—51no—
1023C2×C42—51no—
1024C2×C42—51no—
1025C2×C42—51no—
1026C2×C42—51no—
1027C2×C42—51no—
1028C2×C42—51no—
1029C2×C42—51no—
1030C2×C42—51no—
1031C2×C42—51no—
1032C2×C42—51no—
1033C2×C42—51no—
1034C2×C42C22×D511yescharacteristic
1035C2×C42C22×D511yescharacteristic
1036C2×C42C22×D511yescharacteristic
1037C2×C42C22×D511yescharacteristic
1038C2×C42C22×D511yescharacteristic
1039#95—51no—
1040#95—51no—
1041#95—51no—
1042#95—51no—
1043#95—51no—
1044#95—51no—
1045#95—51no—
1046#95—51no—
1047#95—51no—
1048#95—51no—
1049#95—51no—
1050#95—51no—
1051#95—51no—
1052#95—51no—
1053#95—51no—
1054#95—51no—
1055#95—51no—
1056#95—51no—
1057#95—51no—
1058#95—51no—
1059#95—51no—
1060#95—51no—
1061#95—51no—
1062#95—51no—
1063#95—51no—
1064#95—51no—
1065#95—51no—
1066#95—51no—
1067#95—51no—
1068#95—51no—
1069#95C22×D511yescharacteristic
1070#95C22×D511yescharacteristic
1071#95C22×D511yescharacteristic
1072#95C22×D511yescharacteristic
1073#95C22×D511yescharacteristic
1074#95C22×D511yescharacteristic
1075#95C22×D511yescharacteristic
1076#95C22×D511yescharacteristic
1077#95C22×D511yescharacteristic
1078#95C22×D511yescharacteristic
1079C22×C5—22no—
1080C22×C5—22no—
1081C22×C5—22no—
1082C22×C5—22no—
1083C22×C5—22no—
1084C22×C5—22no—
1085C22×C5—41no—
1086C22×C5—41no—
1087C22×C5—41no—
1088C22×C5—41no—
1089C22×C5—41no—
1090C22×C5—41no—
1091C22×C5—41no—
1092C22×C5—41no—
1093C22×C5C24×C411yescharacteristic
1094C22×C5C2×H(5,𝔽2)11yescharacteristic
1095C22×C5C2×H(5,𝔽2)11yescharacteristic
1096C22×C5#58511yescharacteristic
1097C22×C5#58511yescharacteristic
1098C22×C5#58511yescharacteristic
1099C22×C5#58511yescharacteristic
1100C2×D5—22no—
1101C2×D5—22no—
1102C2×D5—22no—
1103C2×D5—22no—
1104C2×D5—22no—
1105C2×D5—22no—
1106C2×D5—22no—
1107C2×D5—22no—
1108C2×D5—22no—
1109C2×D5—22no—
1110C2×D5—22no—
1111C2×D5—22no—
1112C2×D5—416no—
1113C2×D5—41no—
1114C2×D5—41no—
1115C2×D5—41no—
1116C2×D5—41no—
1117C2×D5—41no—
1118C2×D5—41no—
1119C2×D5—41no—
1120C2×D5—41no—
1121C2×D5—88no—
1122C2×D5#51814yes—
1123C4×C5—22no—
1124C4×C5—22no—
1125C4×C5—22no—
1126C4×C5—22no—
1127C4×C5—22no—
1128C4×C5—41no—
1129C4×C5—41no—
1130C4×C5—41no—
1131C4×C5—41no—
1132C4×C5—41no—
1133C4×C5—41no—
1134C4×C5—41no—
1135C4×C5—41no—
1136Dic5—22no—
1137Dic5—22no—
1138Dic5—22no—
1139Dic5—22no—
1140Dic5—22no—
1141Dic5—41no—
1142Dic5—41no—
1143Dic5—41no—
1144Dic5—41no—
1145Dic5—41no—
1146Dic5—41no—
1147Dic5—41no—
1148Dic5—41no—
1149C24—51no—
1150C24—51no—
1151C24—51no—
1152C24—54no—
1153C24—54no—
1154C24—102no—
1155C24—102no—
1156C24—102no—
1157C24—102no—
1158C24—201no—
1159C24—201no—
1160C24—201no—
1161C24—201no—
1162C24—201no—
1163C24—201no—
1164C24—201no—
1165C24—201no—
1166C24C23×D511yescharacteristic
1167C24C23×D511yescharacteristic
1168C2×D4—41no—
1169C2×D4—41no—
1170C2×D4—54no—
1171C2×D4—54no—
1172C2×D4—54no—
1173C2×D4—201no—
1174C2×D4—201no—
1175C2×D4—2016no—
1176C2×D4—201no—
1177C2×D4—201no—
1178C2×D4—201no—
1179C2×D4—201no—
1180C2×D4C2×C4×D514yes—
1181C22×C4—41no—
1182C22×C4—41no—
1183C22×C4—41no—
1184C22×C4—41no—
1185C22×C4—41no—
1186C22×C4—51no—
1187C22×C4—51no—
1188C22×C4—51no—
1189C22×C4—51no—
1190C22×C4—51no—
1191C22×C4—54no—
1192C22×C4—54no—
1193C22×C4—54no—
1194C22×C4—54no—
1195C22×C4—54no—
1196C22×C4—54no—
1197C22×C4—54no—
1198C22×C4—54no—
1199C22×C4—51no—
1200C22×C4—51no—
1201C22×C4—51no—
1202C22×C4—51no—
1203C22×C4—51no—
1204C22×C4—51no—
1205C22×C4—51no—
1206C22×C4—51no—
1207C22×C4—102no—
1208C22×C4—102no—
1209C22×C4—102no—
1210C22×C4—102no—
1211C22×C4—102no—
1212C22×C4—102no—
1213C22×C4—201no—
1214C22×C4—201no—
1215C22×C4—201no—
1216C22×C4—201no—
1217C22×C4—201no—
1218C22×C4—201no—
1219C22×C4—201no—
1220C22×C4—201no—
1221C22×C4—201no—
1222C22×C4—201no—
1223C22×C4—201no—
1224C22×C4—201no—
1225C22×C4—201no—
1226C22×C4—201no—
1227C22×C4—2016no—
1228C22×C4—201no—
1229C22×C4—201no—
1230C22×C4—201no—
1231C22×C4—201no—
1232C22×C4—201no—
1233C22×C4C2×C4×D514yes—
1234C22×C4C23×D511yescharacteristic
1235C22×C4C23×D511yescharacteristic
1236C22×C4C23×D511yescharacteristic
1237C22×C4C23×D511yescharacteristic
1238C22×C4C23×D511yescharacteristic
1239C22×C4C23×D511yescharacteristic
1240C22×C4C23×D511yescharacteristic
1241C22×C4C23×D511yescharacteristic
1242C22×C4C23×D511yescharacteristic
1243C22×C4C23×D511yescharacteristic
1244C22×C4C23×D511yescharacteristic
1245C22×C4C23×D511yescharacteristic
1246C22×C4C23×D511yescharacteristic
1247C4⋊C4—41no—
1248C4⋊C4—41no—
1249C4⋊C4—41no—
1250C4⋊C4—41no—
1251C4⋊C4—41no—
1252C4⋊C4—54no—
1253C4⋊C4—54no—
1254C4⋊C4—54no—
1255C4⋊C4—54no—
1256C4⋊C4—54no—
1257C4⋊C4—54no—
1258C4⋊C4—201no—
1259C4⋊C4—201no—
1260C4⋊C4—201no—
1261C4⋊C4—201no—
1262C4⋊C4—201no—
1263C4⋊C4—201no—
1264C4⋊C4—201no—
1265C4⋊C4—201no—
1266C4⋊C4—201no—
1267C4⋊C4—201no—
1268C4⋊C4—201no—
1269C4⋊C4—201no—
1270C4⋊C4—201no—
1271C4⋊C4—201no—
1272C4⋊C4—201no—
1273C4⋊C4C2×C4×D514yes—
1274C4⋊C4C2×C4×D514yes—
1275C22⋊C4—41no—
1276C22⋊C4—41no—
1277C22⋊C4—41no—
1278C22⋊C4—41no—
1279C22⋊C4—41no—
1280C22⋊C4—41no—
1281C22⋊C4—41no—
1282C22⋊C4—54no—
1283C22⋊C4—54no—
1284C22⋊C4—54no—
1285C22⋊C4—54no—
1286C22⋊C4—54no—
1287C22⋊C4—54no—
1288C22⋊C4—54no—
1289C22⋊C4—54no—
1290C22⋊C4—54no—
1291C22⋊C4—102no—
1292C22⋊C4—102no—
1293C22⋊C4—102no—
1294C22⋊C4—102no—
1295C22⋊C4—102no—
1296C22⋊C4—102no—
1297C22⋊C4—102no—
1298C22⋊C4—102no—
1299C22⋊C4—201no—
1300C22⋊C4—201no—
1301C22⋊C4—201no—
1302C22⋊C4—201no—
1303C22⋊C4—201no—
1304C22⋊C4—201no—
1305C22⋊C4—201no—
1306C22⋊C4—201no—
1307C22⋊C4—201no—
1308C22⋊C4—201no—
1309C22⋊C4—201no—
1310C22⋊C4—201no—
1311C22⋊C4—201no—
1312C22⋊C4—201no—
1313C22⋊C4—201no—
1314C22⋊C4—201no—
1315C22⋊C4—201no—
1316C22⋊C4—201no—
1317C22⋊C4—201no—
1318C22⋊C4—201no—
1319C22⋊C4—201no—
1320C22⋊C4C2×C4×D514yes—
1321C22⋊C4C2×C4×D514yes—
1322C22⋊C4C2×C4×D514yes—
1323C42—41no—
1324C42—41no—
1325C42—41no—
1326C42—41no—
1327C42—41no—
1328C42—201no—
1329C42—201no—
1330C42—201no—
1331C42—201no—
1332C42—201no—
1333C42—201no—
1334C42—201no—
1335C42—201no—
1336C42—201no—
1337C42—201no—
1338C42—201no—
1339C42—201no—
1340C42—201no—
1341C42—201no—
1342C42—201no—
1343C2×C5—42no—
1344C2×C5—42no—
1345C2×C5C2×#51811yescharacteristic
1346C2×C5#342811yescharacteristic
1347C2×C5#342811yescharacteristic
1348C2×C5#353311yescharacteristic
1349C2×C5#353311yescharacteristic
1350C2×C5#353311yescharacteristic
1351C2×C5#353311yescharacteristic
1352D5—24no—
1353D5—42no—
1354D5—42no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—52no—
1368C23—52no—
1369C23—52no—
1370C23—52no—
1371C23—52no—
1372C23—108no—
1373C23—108no—
1374C23—101no—
1375C23—101no—
1376C23—101no—
1377C23—101no—
1378C23—101no—
1379C23—101no—
1380C23—101no—
1381C23—101no—
1382C23—101no—
1383C23—101no—
1384C23—101no—
1385C23—101no—
1386C23—101no—
1387C23—101no—
1388C23—101no—
1389C23—101no—
1390C23—204no—
1391C23—204no—
1392C23—204no—
1393C23—204no—
1394C23—204no—
1395C23—204no—
1396C23—204no—
1397C23—204no—
1398C23—402no—
1399C23—402no—
1400C23—402no—
1401C23—402no—
1402C23C22×C4×D512yes—
1403C23C22×C4×D512yes—
1404C23C24×D511yescharacteristic
1405D4—44no—
1406D4—204no—
1407D4—204no—
1408D4—204no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—44no—
1444C2×C4—52no—
1445C2×C4—52no—
1446C2×C4—52no—
1447C2×C4—52no—
1448C2×C4—52no—
1449C2×C4—82no—
1450C2×C4—108no—
1451C2×C4—108no—
1452C2×C4—108no—
1453C2×C4—101no—
1454C2×C4—101no—
1455C2×C4—101no—
1456C2×C4—101no—
1457C2×C4—101no—
1458C2×C4—101no—
1459C2×C4—101no—
1460C2×C4—101no—
1461C2×C4—101no—
1462C2×C4—101no—
1463C2×C4—101no—
1464C2×C4—101no—
1465C2×C4—101no—
1466C2×C4—101no—
1467C2×C4—101no—
1468C2×C4—101no—
1469C2×C4—101no—
1470C2×C4—101no—
1471C2×C4—101no—
1472C2×C4—101no—
1473C2×C4—101no—
1474C2×C4—101no—
1475C2×C4—101no—
1476C2×C4—101no—
1477C2×C4—101no—
1478C2×C4—101no—
1479C2×C4—101no—
1480C2×C4—101no—
1481C2×C4—101no—
1482C2×C4—101no—
1483C2×C4—101no—
1484C2×C4—101no—
1485C2×C4—101no—
1486C2×C4—101no—
1487C2×C4—204no—
1488C2×C4—204no—
1489C2×C4—204no—
1490C2×C4—204no—
1491C2×C4—204no—
1492C2×C4—402no—
1493C2×C4—402no—
1494C2×C4—402no—
1495C2×C4C22×C4×D512yes—
1496C2×C4C22×C4×D512yes—
1497C2×C4C22×C4×D512yes—
1498C2×C4C22×C4×D512yes—
1499C2×C4C22×C4×D512yes—
1500C5#3435711yescharacteristic, complemented, Sylow
1501C22—22no—
1502C22—22no—
1503C22—22no—
1504C22—22no—
1505C22—22no—
1506C22—22no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—54no—
1516C22—102no—
1517C22—102no—
1518C22—102no—
1519C22—102no—
1520C22—102no—
1521C22—102no—
1522C22—102no—
1523C22—102no—
1524C22—102no—
1525C22—102no—
1526C22—102no—
1527C22—102no—
1528C22—2016no—
1529C22—201no—
1530C22—201no—
1531C22—201no—
1532C22—201no—
1533C22—201no—
1534C22—201no—
1535C22—201no—
1536C22—201no—
1537C22—408no—
1538C22C23×C4×D511yescharacteristic
1539C22#6628311yescharacteristic
1540C22#6628311yescharacteristic
1541C22D5×H(5,𝔽2)11yescharacteristic
1542C22D5×H(5,𝔽2)11yescharacteristic
1543C22#6628511yescharacteristic
1544C22#6628711yescharacteristic
1545C4—22no—
1546C4—22no—
1547C4—22no—
1548C4—22no—
1549C4—22no—
1550C4—41no—
1551C4—41no—
1552C4—41no—
1553C4—41no—
1554C4—41no—
1555C4—41no—
1556C4—41no—
1557C4—41no—
1558C4—102no—
1559C4—102no—
1560C4—102no—
1561C4—102no—
1562C4—102no—
1563C4—201no—
1564C4—201no—
1565C4—201no—
1566C4—201no—
1567C4—201no—
1568C4—201no—
1569C4—201no—
1570C4—201no—
1571C2—42no—
1572C2—42no—
1573C2—104no—
1574C2—202no—
1575C2—202no—
1576C2#1061773511yescharacteristic
1577C2D5×#51811yescharacteristic
1578C2#1061778611yescharacteristic
1579C2#1061832011yescharacteristic
1580C2#1061835811yescharacteristic
1581C2#1061839011yescharacteristic
1582C2#1061846011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D5
commutatorC22×C5C24×C4
FittingC5×#2335C2
socle, cosocleC23×C5C25
prime radicalC22×D4×D5C22
hypercenter#2335D5
hypocenterC5#34357
LCSG ▷ C22×C5 ▷ C5
UCSC1 ◁ C23 ◁ #2335

Complements

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

NH ≅ G/Ntype
2. C5×#2335C2semidirect
3. #10614568C2semidirect
5. #10608031C2semidirect
6. #10607938C2semidirect
7. #10607931C2semidirect
8. #10607572C2semidirect
9. #10607564C2semidirect
10. #10607563C2semidirect
11. #10607556C2semidirect
12. #10607556C2semidirect
13. #10607218C2semidirect
14. #10607200C2semidirect
15. #10607199C2semidirect
16. #10607043C2semidirect
17. #10606706C2semidirect
18. #10606692C2semidirect
19. #10606692C2semidirect
21. #10606401C2semidirect
22. #10606329C2semidirect
23. #10606326C2semidirect
24. #10605606C2semidirect
25. #10605593C2semidirect
26. #10605498C2semidirect
27. #10605398C2semidirect
28. #10605305C2semidirect
29. #10605292C2semidirect
30. #10605210C2semidirect
31. #10605182C2semidirect
38. D5×#123C4semidirect
57. C5×#389C22semidirect
58. C5×#388C22semidirect
59. C5×#388C22semidirect
60. C5×#388C22semidirect
61. C5×#388C22semidirect
62. C5×#387C22semidirect
63. C5×#387C22semidirect
65. C5×#385C22semidirect
66. C5×#380C22semidirect
67. C4×C5×C4⋊C4C22semidirect
68. C4×C5×C22⋊C4C22semidirect
69. C4×C5×C22⋊C4C22semidirect
73. #65501C22semidirect
74. #65499C22semidirect
75. C4×C22⋊Dic5C22semidirect
76. C4×C22⋊Dic5C22semidirect
77. #65279C22semidirect
78. #65279C22semidirect
79. #65279C22semidirect
80. #65279C22semidirect
81. #65278C22semidirect
82. #65278C22semidirect
86. #65276C22semidirect
87. #65276C22semidirect
88. #65274C22semidirect
89. #65270C22semidirect
90. #65270C22semidirect
91. #65267C22semidirect
92. #65267C22semidirect
93. C4⋊C4×Dic5C22semidirect
94. C4⋊C4×Dic5C22semidirect
95. #65262C22semidirect
96. #65261C22semidirect
97. #65261C22semidirect
111. #65240C22semidirect
112. #65240C22semidirect
113. #65240C22semidirect
114. #65240C22semidirect
115. #65239C22semidirect
116. #65235C22semidirect
117. #65234C22semidirect
118. #65234C22semidirect
119. #65234C22semidirect
120. #65234C22semidirect
121. #65233C22semidirect
122. #65233C22semidirect
123. #65233C22semidirect
124. #65233C22semidirect
125. #65231C22semidirect
126. #65231C22semidirect
127. C22⋊C4×Dic5C22semidirect
128. C22⋊C4×Dic5C22semidirect
129. C22⋊C4×Dic5C22semidirect
130. C22⋊C4×Dic5C22semidirect
131. #65229C22semidirect
132. #65229C22semidirect
133. #65229C22semidirect
134. #65229C22semidirect
138. C4×#685C22semidirect
139. C4×#685C22semidirect
140. C4×#685C22semidirect
141. C4×#685C22semidirect
142. C4×C4⋊Dic5C22semidirect
143. #65222C22semidirect
144. #65222C22semidirect
145. C4×#683C22semidirect
146. C4×#683C22semidirect
147. #65217C22semidirect
148. #64959C22semidirect
149. #64959C22semidirect
150. #64959C22semidirect
151. #64959C22semidirect
152. #64958C22semidirect
153. #64958C22semidirect
154. #64958C22semidirect
155. #64958C22semidirect
156. #64957C22semidirect
157. #64957C22semidirect
160. #64956C22semidirect
161. #64956C22semidirect
164. #64955C22semidirect
165. #64955C22semidirect
166. #64955C22semidirect
167. #64955C22semidirect
176. #64944C22semidirect
177. #64944C22semidirect
178. #64943C22semidirect
179. #64943C22semidirect
180. #64942C22semidirect
181. #64942C22semidirect
182. #64941C22semidirect
183. #64941C22semidirect
184. #64938C22semidirect
185. #64938C22semidirect
186. #64936C22semidirect
187. #64936C22semidirect
204. C22×C4×D5C2×C4semidirect
214. C5×#123C2×C4semidirect
247. #4081C2×C4semidirect
248. #4075C2×C4semidirect
314. #4040C2×C4semidirect
315. #4040C2×C4semidirect
319. D5×C4⋊C4C2×C4semidirect
320. D5×C4⋊C4C2×C4semidirect
321. #4032C2×C4semidirect
322. #4029C2×C4semidirect
323. #4029C2×C4semidirect
327. D5×C22⋊C4C2×C4semidirect
395. #2335D5semidirect
635. #389C2×D5semidirect
664. #388C2×D5semidirect
665. #388C2×D5semidirect
666. #388C2×D5semidirect
667. #388C2×D5semidirect
682. #387C2×D5semidirect
683. #387C2×D5semidirect
699. #385C2×D5semidirect
717. #380C2×D5semidirect
731. C4×C4⋊C4C2×D5semidirect
750. C4×C22⋊C4C2×D5semidirect
751. C4×C22⋊C4C2×D5semidirect
929. #123C4×D5semidirect
1500. C5#34357semidirect

Maximal subgroups

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

subgroupindex
C2×D5×#1232
C5×#23352
#106145682
#106081592
#106080312
#106079382
#106079312
#106075722
#106075642
#106075632
#106075562
#106072182
#106072002
#106071992
#106070432
#106067062
#106066922
#106066052
#106064012
#106063292
#106063262
#106056062
#106055932
#106054982
#106053982
#106053052
#106052922
#106052102
#106051822
#343575