Finite Group Databasebeta

← #12272291

Subgroups — #12272291

Order 1280.

2404 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#66041C211yesmaximal, characteristic, complemented
2C2×#65947C211yesmaximal, characteristic, complemented
3C5×#2559C211yesmaximal, characteristic, complemented
4#10614817C211yesmaximal, characteristic, complemented
5#10614390C211yesmaximal, characteristic, complemented
6#10610078C211yesmaximal, characteristic, complemented
7#10609964C211yesmaximal, characteristic, complemented
8#10608846C211yesmaximal, characteristic, complemented
9#10608845C211yesmaximal, characteristic, complemented
10#10608729C211yesmaximal, characteristic, complemented
11#10608728C211yesmaximal, characteristic, complemented
12#10608725C211yesmaximal, characteristic, complemented
13#10608656C211yesmaximal, characteristic, complemented
14#10608185C211yesmaximal, characteristic, complemented
15#10608157C211yesmaximal, characteristic, complemented
16#10607975C211yesmaximal, characteristic, complemented
17#10607922C211yesmaximal, characteristic, complemented
18#10607620C211yesmaximal, characteristic, complemented
19#10607558C211yesmaximal, characteristic, complemented
20D5×#388C211yesmaximal, characteristic, complemented
21#10607296C211yesmaximal, characteristic, complemented
22#10606633C211yesmaximal, characteristic, complemented
23#10606632C211yesmaximal, characteristic, complemented
24#10606603C211yesmaximal, characteristic, complemented
25#10606600C211yesmaximal, characteristic, complemented
26#10606324C211yesmaximal, characteristic, complemented
27#10606162C211yesmaximal, characteristic, complemented
28#10605333C211yesmaximal, characteristic, complemented
29C4×#4030C211yesmaximal, characteristic, complemented
30#10605268C211yesmaximal, characteristic, complemented
31C4×#4027C211yesmaximal, characteristic, complemented
32C2×C5×#126C2211yescharacteristic, complemented
33C2×C5×#121C2211yescharacteristic
34C2×#4085C2211yescharacteristic
35C2×#4085C2211yescharacteristic
36C2×#4084C2211yescharacteristic
37C2×#4083C2211yescharacteristic
38C2×#4083C2211yescharacteristic
39C2×#4082C2211yescharacteristic
40C2×#4081C2211yescharacteristic
41C2×#4075C2211yescharacteristic
42C2×C4×C22⋊D5C2211yescharacteristic
43C2×C4×C22⋊D5C2211yescharacteristic
44C2×C4×C22⋊D5C2211yescharacteristic, complemented
45C22×C4×Dic5C2211yescharacteristic, complemented
46#66041—28no—
47#65947—28no—
48C2×#4044C2211yescharacteristic
49C2×#4044C2211yescharacteristic, complemented
50C2×#4043C2211yescharacteristic
51C2×#4042C2211yescharacteristic
52C2×#4042C2211yescharacteristic, complemented
53C2×#4040C2211yescharacteristic
54C2×D5×C4⋊C4C2211yescharacteristic
55C2×#4036C2211yescharacteristic, complemented
56C2×#4032C2211yescharacteristic, complemented
57C2×#4031C2211yescharacteristic
58C2×#4031C2211yescharacteristic
59C2×#4030C2211yescharacteristic
60C2×#4030C2211yescharacteristic
61C2×#4029C2211yescharacteristic
62C2×#4029C2211yescharacteristic
63C2×#4029C2211yescharacteristic, complemented
64C2×#4028C2211yescharacteristic
65C2×#4027C2211yescharacteristic
66C2×#4027C2211yescharacteristic
67C2×D5×C22⋊C4C2211yescharacteristic
68C2×D5×C22⋊C4C2211yescharacteristic
69C2×D5×C22⋊C4C2211yescharacteristic
70C2×#4025C2211yescharacteristic
71C2×#4024C2211yescharacteristic, complemented
72C2×C4×D20C2211yescharacteristic
73C2×C42×D5C2211yescharacteristic
74C2×#4016C2211yescharacteristic, complemented
75C5×#400C2211yescharacteristic, complemented
76C5×#394C2211yescharacteristic
77C5×#394C2211yescharacteristic
78C5×#394C2211yescharacteristic, complemented
79C5×#390C2211yescharacteristic
80C5×#389C2211yescharacteristic, complemented
81C5×#388C2211yescharacteristic
82C5×#388C2211yescharacteristic
83C5×#386C2211yescharacteristic
84C5×#386C2211yescharacteristic, complemented
85C5×#385C2211yescharacteristic, complemented
86C4×C5×C22⋊C4C2211yescharacteristic, complemented
87C4×C5×C22⋊C4C2211yescharacteristic, complemented
88#65512C2211yescharacteristic
89#65512C2211yescharacteristic, complemented
90#65511C2211yescharacteristic
91#65510C2211yescharacteristic
92#65509C2211yescharacteristic, complemented
93#65502C2211yescharacteristic
94#65502C2211yescharacteristic, complemented
95#65499C2211yescharacteristic, complemented
96#65281C2211yescharacteristic
97#65279C2211yescharacteristic
98#65279C2211yescharacteristic
99#65279C2211yescharacteristic, complemented
100#65278C2211yescharacteristic
101#65278C2211yescharacteristic
102#65277C2211yescharacteristic
103#65277C2211yescharacteristic
104#65274C2211yescharacteristic, complemented
105#65273C2211yescharacteristic, complemented
106#65272C2211yescharacteristic, complemented
107#65268C2211yescharacteristic, complemented
108#65268C2211yescharacteristic, complemented
109#65267C2211yescharacteristic, complemented
110#65263C2211yescharacteristic, complemented
111#65262C2211yescharacteristic, complemented
112#65250C2211yescharacteristic
113#65249C2211yescharacteristic
114#65249C2211yescharacteristic
115#65248C2211yescharacteristic
116#65248C2211yescharacteristic
117#65248C2211yescharacteristic, complemented
118#65247C2211yescharacteristic
119#65246C2211yescharacteristic
120#65246C2211yescharacteristic
121#65246C2211yescharacteristic
122#65246C2211yescharacteristic, complemented
123#65245C2211yescharacteristic
124#65245C2211yescharacteristic
125#65245C2211yescharacteristic
126#65244C2211yescharacteristic
127#65242C2211yescharacteristic, complemented
128#65241C2211yescharacteristic, complemented
129#65240C2211yescharacteristic
130#65240C2211yescharacteristic
131#65240C2211yescharacteristic
132#65240C2211yescharacteristic, complemented
133#65240C2211yescharacteristic, complemented
134#65238C2211yescharacteristic
135#65237C2211yescharacteristic
136#65237C2211yescharacteristic, complemented
137#65236C2211yescharacteristic
138#65234C2211yescharacteristic
139#65233C2211yescharacteristic
140#65233C2211yescharacteristic
141#65233C2211yescharacteristic
142#65233C2211yescharacteristic, complemented
143#65233C2211yescharacteristic, complemented
144#65233C2211yescharacteristic, complemented
145#65231C2211yescharacteristic, complemented
146C22⋊C4×Dic5C2211yescharacteristic, complemented
147C22⋊C4×Dic5C2211yescharacteristic, complemented
148#65229C2211yescharacteristic
149#65229C2211yescharacteristic
150#65228C2211yescharacteristic
151C4×#685C2211yescharacteristic
152C4×#685C2211yescharacteristic, complemented
153C4×#683C2211yescharacteristic, complemented
154C4×#683C2211yescharacteristic, complemented
155C42×Dic5C2211yescharacteristic, complemented
156#65218C2211yescharacteristic, complemented
157#64965C2211yescharacteristic
158#64965C2211yescharacteristic
159#64964C2211yescharacteristic, complemented
160#64963C2211yescharacteristic
161#64962C2211yescharacteristic, complemented
162#64959C2211yescharacteristic
163#64959C2211yescharacteristic
164#64959C2211yescharacteristic
165#64959C2211yescharacteristic, complemented
166#64958C2211yescharacteristic
167#64958C2211yescharacteristic, complemented
168#64958C2211yescharacteristic, complemented
169#64956C2211yescharacteristic
170#64955C2211yescharacteristic
171#64955C2211yescharacteristic
172#64954C2211yescharacteristic
173#64954C2211yescharacteristic
174#64954C2211yescharacteristic
175#64953C2211yescharacteristic
176D5×#95C2211yescharacteristic
177D5×#95C2211yescharacteristic
178#64947C2211yescharacteristic, complemented
179#64946C2211yescharacteristic, complemented
180#64946C2211yescharacteristic, complemented
181#64942C2211yescharacteristic, complemented
182#64939C2211yescharacteristic, complemented
183#64938C2211yescharacteristic, complemented
184#64938C2211yescharacteristic, complemented
185#64936C2211yescharacteristic, complemented
186#64936C2211yescharacteristic, complemented
187#64936C2211yescharacteristic, complemented
188#64935C2211yescharacteristic, complemented
189#35009—51nomaximal, Sylow
190C24×D5C2311yescharacteristic
191C22×C5×D4C2311yescharacteristic
192C22×C5×D4C2311yescharacteristic
193C22×C5×D4C2311yescharacteristic
194C23×C4×C5C2311yescharacteristic
195C23×C4×C5C2311yescharacteristic
196C22×C22⋊D5C2311yescharacteristic
197C22×C22⋊D5C2311yescharacteristic
198C22×C22⋊D5C2311yescharacteristic
199C22×C22⋊D5C2311yescharacteristic
200C22×C22⋊D5C2311yescharacteristic
201C22×C22⋊D5C2311yescharacteristic
202C22×C22⋊D5C2311yescharacteristic
203C23×Dic5C2311yescharacteristic
204C23×Dic5C2311yescharacteristic
205C22×D20C2311yescharacteristic
206C22×D20C2311yescharacteristic
207C22×C4×D5C2311yescharacteristic
208C22×C4×D5C2311yescharacteristic
209C22×C4×D5C2311yescharacteristic
210C22×C4×D5C2311yescharacteristic
211C22×C4×D5C2311yescharacteristic
212C22×C4×D5C2311yescharacteristic
213C22×C4×D5C2311yescharacteristic
214C22×Dic10C2311yescharacteristic
215C22×Dic10C2311yescharacteristic
216C5×#126—24no—
217C5×#121—24no—
218C2×C5×C4⋊C4C2311yescharacteristic
219C2×C5×C4⋊C4C2311yescharacteristic
220C2×C5×C4⋊C4C2311yescharacteristic
221C2×C5×C4⋊C4C2311yescharacteristic
222C2×C5×C4⋊C4C2311yescharacteristic
223C2×C5×C4⋊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×C5×C22⋊C4C2311yescharacteristic
233C2×C5×C22⋊C4C2311yescharacteristic
234C2×C5×C22⋊C4C2311yescharacteristic
235C2×C5×C22⋊C4C2311yescharacteristic
236C2×C5×C22⋊C4C2311yescharacteristic
237C2×C42×C5C2311yescharacteristic
238C2×C42×C5C2311yescharacteristic
239C2×C42×C5C2311yescharacteristic
240C2×C22⋊Dic5C2311yescharacteristic
241C2×C22⋊Dic5C2311yescharacteristic
242C2×C22⋊Dic5C2311yescharacteristic
243C2×C22⋊Dic5C2311yescharacteristic
244C2×C22⋊Dic5C2311yescharacteristic
245C2×C22⋊Dic5C2311yescharacteristic
246C2×C22⋊Dic5C2311yescharacteristic
247C2×C22⋊Dic5C2311yescharacteristic
248C2×C22⋊Dic5C2311yescharacteristic
249C2×C22⋊Dic5C2311yescharacteristic
250C2×C22⋊Dic5C2311yescharacteristic
251C2×C22⋊Dic5C2311yescharacteristic
252C2×C22⋊Dic5C2311yescharacteristic
253C2×C22⋊Dic5C2311yescharacteristic
254#4085—24no—
255#4085—42no—
256#4084—24no—
257#4083—24no—
258#4083—24no—
259#4082—24no—
260#4081—24no—
261#4075—24no—
262C4×C22⋊D5—24no—
263C4×C22⋊D5—24no—
264C4×C22⋊D5—42no—
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×#685C2311yescharacteristic
279C2×#685C2311yescharacteristic
280C2×#685C2311yescharacteristic
281C2×#685C2311yescharacteristic
282C2×#685C2311yescharacteristic
283C2×#685C2311yescharacteristic
284C2×#685C2311yescharacteristic
285C2×#685C2311yescharacteristic
286C2×#685C2311yescharacteristic
287C2×#685C2311yescharacteristic
288C2×#685C2311yescharacteristic
289C2×#685C2311yescharacteristic
290C2×C4⋊Dic5C2311yescharacteristic
291C2×C4⋊Dic5C2311yescharacteristic
292C2×C4⋊Dic5C2311yescharacteristic
293C2×C4⋊Dic5C2311yescharacteristic
294C2×C4⋊Dic5C2311yescharacteristic
295C2×C4⋊Dic5C2311yescharacteristic
296C2×C4⋊Dic5C2311yescharacteristic
297C2×#683C2311yescharacteristic
298C2×#683C2311yescharacteristic
299C2×#683C2311yescharacteristic
300C2×#683C2311yescharacteristic
301C2×#683C2311yescharacteristic
302C2×#683C2311yescharacteristic
303C2×#683C2311yescharacteristic
304C2×#683C2311yescharacteristic
305C2×#683C2311yescharacteristic
306C2×#683C2311yescharacteristic
307C2×#683C2311yescharacteristic
308C2×#683C2311yescharacteristic
309C2×#683C2311yescharacteristic
310C2×#683C2311yescharacteristic
311C2×#683C2311yescharacteristic
312C2×#683C2311yescharacteristic
313C2×#683C2311yescharacteristic
314C2×C4×Dic5—42no—
315C2×C4×Dic5C2311yescharacteristic
316C2×C4×Dic5C2311yescharacteristic
317C2×C4×Dic5C2311yescharacteristic
318C2×C4×Dic5C2311yescharacteristic
319C2×C4×Dic5C2311yescharacteristic
320C2×C4×Dic5C2311yescharacteristic
321C2×C4×Dic5C2311yescharacteristic
322C2×C4×Dic5C2311yescharacteristic
323C2×C4×Dic5C2311yescharacteristic
324C2×C4×Dic5C2311yescharacteristic
325C2×C4×Dic5C2311yescharacteristic
326C2×C4×Dic5C2311yescharacteristic
327#4044—24no—
328#4044—24no—
329#4043—24no—
330#4042—24no—
331#4042—24no—
332#4040—24no—
333D5×C4⋊C4—24no—
334#4036—24no—
335#4032—24no—
336#4031—24no—
337#4031—42no—
338#4030—24no—
339#4030—24no—
340#4029—24no—
341#4029—24no—
342#4029—24no—
343#4028—24no—
344#4027—24no—
345#4027D418yescomplemented
346D5×C22⋊C4—24no—
347D5×C22⋊C4—24no—
348D5×C22⋊C4—42no—
349#4025—24no—
350#4024—24no—
351C4×D20—24no—
352C42×D5—42no—
353#4016—24no—
354C5×#95C2311yescharacteristic
355C5×#95C2311yescharacteristic
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
386C2×#539—51no—
387C2×#538—51no—
388#2861—51no—
389#2860—51no—
390#2854—51no—
391#2850—51no—
392#2664—51no—
393#2663—51no—
394#2662—51no—
395#2661—51no—
396#2560—51no—
397#2559D511yescharacteristic, complemented
398#2558—51no—
399#2557—51no—
400#2549—51no—
401#2543—51no—
402#2539—51no—
403#2534—51no—
404#2521—51no—
405#2519—51no—
406#2488—51no—
407#2472—51no—
408#2464—51no—
409#2461—51no—
410#2425—51no—
411#2424—51no—
412#2322—51no—
413#2321—51no—
414C4×#121—51no—
415C2×#388—51no—
416C42×D4—51no—
417C24×C5C2411yescharacteristic
418C24×C5C2411yescharacteristic
419C24×C5C2411yescharacteristic
420C23×D5—22no—
421C23×D5—22no—
422C23×D5—22no—
423C23×D5—41no—
424C23×D5—41no—
425C23×D5—41no—
426C23×D5—41no—
427C23×D5C2411yescharacteristic
428C23×D5C2411yescharacteristic
429C23×D5C2411yescharacteristic
430C2×C5×D4—22no—
431C2×C5×D4—22no—
432C2×C5×D4—22no—
433C2×C5×D4—41no—
434C2×C5×D4—41no—
435C2×C5×D4—41no—
436C2×C5×D4—41no—
437C2×C5×D4—41no—
438C2×C5×D4—41no—
439C22×C4×C5—22no—
440C22×C4×C5—22no—
441C22×C4×C5—41no—
442C22×C4×C5—41no—
443C22×C4×C5—41no—
444C22×C4×C5—41no—
445C22×C4×C5C2411yescharacteristic
446C22×C4×C5C2411yescharacteristic
447C22×C4×C5C2411yescharacteristic
448C22×C4×C5C2411yescharacteristic
449C22×C4×C5C2411yescharacteristic
450C22×C4×C5C2411yescharacteristic
451C22×C4×C5C2411yescharacteristic
452C22×C4×C5C2411yescharacteristic
453C22×C4×C5C2411yescharacteristic
454C22×C4×C5C2411yescharacteristic
455C22×C4×C5C2411yescharacteristic
456C22×C4×C5C2411yescharacteristic
457C2×C22⋊D5—22no—
458C2×C22⋊D5—22no—
459C2×C22⋊D5—22no—
460C2×C22⋊D5—22no—
461C2×C22⋊D5—22no—
462C2×C22⋊D5—22no—
463C2×C22⋊D5—22no—
464C2×C22⋊D5—22no—
465C2×C22⋊D5—22no—
466C2×C22⋊D5—22no—
467C2×C22⋊D5—41no—
468C2×C22⋊D5—41no—
469C2×C22⋊D5—41no—
470C2×C22⋊D5—41no—
471C2×C22⋊D5—41no—
472C2×C22⋊D5—41no—
473C2×C22⋊D5—41no—
474C2×C22⋊D5—41no—
475C2×C22⋊D5—41no—
476C2×C22⋊D5—41no—
477C2×C22⋊D5C2×D414yes—
478C22×Dic5—22no—
479C22×Dic5—22no—
480C22×Dic5—41no—
481C22×Dic5—41no—
482C22×Dic5—41no—
483C22×Dic5C2×D414yes—
484C22×Dic5C2411yescharacteristic
485C22×Dic5C2411yescharacteristic
486C22×Dic5C2411yescharacteristic
487C22×Dic5C2411yescharacteristic
488C22×Dic5C2411yescharacteristic
489C22×Dic5C2411yescharacteristic
490C22×Dic5C2411yescharacteristic
491C22×Dic5C2411yescharacteristic
492C22×Dic5C2411yescharacteristic
493C22×Dic5C2411yescharacteristic
494C22×Dic5C2411yescharacteristic
495C22×Dic5C2411yescharacteristic
496C22×Dic5C2411yescharacteristic
497C2×D20—22no—
498C2×D20—22no—
499C2×D20—22no—
500C2×D20—22no—
501C2×D20—41no—
502C2×D20—41no—
503C2×C4×D5—22no—
504C2×C4×D5—22no—
505C2×C4×D5—22no—
506C2×C4×D5—22no—
507C2×C4×D5—22no—
508C2×C4×D5—22no—
509C2×C4×D5—22no—
510C2×C4×D5—22no—
511C2×C4×D5—41no—
512C2×C4×D5—41no—
513C2×C4×D5—41no—
514C2×C4×D5—41no—
515C2×C4×D5—41no—
516C2×C4×D5—41no—
517C2×C4×D5—41no—
518C2×C4×D5—41no—
519C2×C4×D5—41no—
520C2×C4×D5—41no—
521C2×C4×D5—41no—
522C2×C4×D5C2×D414yes—
523C2×C4×D5#4114yes—
524C2×Dic10—22no—
525C2×Dic10—22no—
526C2×Dic10—41no—
527C2×Dic10—41no—
528C2×Dic10—41no—
529C2×Dic10—41no—
530C5×C4⋊C4—22no—
531C5×C4⋊C4—22no—
532C5×C4⋊C4—22no—
533C5×C4⋊C4—22no—
534C5×C4⋊C4—41no—
535C5×C4⋊C4—41no—
536C5×C22⋊C4—22no—
537C5×C22⋊C4—22no—
538C5×C22⋊C4—22no—
539C5×C22⋊C4—22no—
540C5×C22⋊C4—22no—
541C5×C22⋊C4—22no—
542C5×C22⋊C4—22no—
543C5×C22⋊C4—22no—
544C5×C22⋊C4—41no—
545C5×C22⋊C4—41no—
546C5×C22⋊C4—41no—
547C5×C22⋊C4—41no—
548C5×C22⋊C4C2×D414yes—
549C42×C5—22no—
550C42×C5—41no—
551C42×C5—41no—
552C22⋊Dic5—22no—
553C22⋊Dic5—22no—
554C22⋊Dic5—22no—
555C22⋊Dic5—22no—
556C22⋊Dic5—22no—
557C22⋊Dic5—22no—
558C22⋊Dic5—22no—
559C22⋊Dic5—22no—
560C22⋊Dic5—22no—
561C22⋊Dic5—22no—
562C22⋊Dic5—22no—
563C22⋊Dic5—22no—
564C22⋊Dic5—41no—
565C22⋊Dic5—41no—
566#685—22no—
567#685—22no—
568#685—22no—
569#685—22no—
570#685—22no—
571#685—22no—
572#685—22no—
573#685—22no—
574#685—22no—
575#685—22no—
576#685—22no—
577#685—22no—
578#685—22no—
579#685—22no—
580#685—22no—
581#685—22no—
582#685—22no—
583#685—41no—
584#685—41no—
585#685—41no—
586#685—41no—
587#685—41no—
588#685—41no—
589#685C2×D414yes—
590#685#4114yes—
591C4⋊Dic5—22no—
592C4⋊Dic5—22no—
593C4⋊Dic5—22no—
594C4⋊Dic5—22no—
595C4⋊Dic5—22no—
596C4⋊Dic5—22no—
597C4⋊Dic5—22no—
598#683—22no—
599#683—22no—
600#683—22no—
601#683—22no—
602#683—22no—
603#683—22no—
604#683—22no—
605#683—22no—
606#683—22no—
607#683—22no—
608#683—22no—
609#683—22no—
610#683—41no—
611#683—41no—
612#683—41no—
613#683—41no—
614#683C2×D414yes—
615C4×Dic5—22no—
616C4×Dic5—22no—
617C4×Dic5—22no—
618C4×Dic5—22no—
619C4×Dic5—22no—
620C4×Dic5—22no—
621C4×Dic5—41no—
622C4×Dic5—41no—
623C4×Dic5—41no—
624C4×Dic5—41no—
625C4×Dic5—41no—
626C4×Dic5C2×D414yes—
627#539—108no—
628#538—108no—
629C2×#126—51no—
630C2×#126—51no—
631C2×#126—51no—
632C2×#126C2×D511yescharacteristic, complemented
633C2×#125—51no—
634C2×#125—51no—
635C2×#124—51no—
636C2×#124—51no—
637C2×#124—51no—
638C2×#123—51no—
639C2×#123—51no—
640C2×#123—51no—
641C2×#123—51no—
642C2×#123—51no—
643C2×#123—51no—
644C2×#123—51no—
645C2×C22⋊Q8—51no—
646C2×C22⋊Q8—51no—
647C2×C22⋊Q8—51no—
648C2×C22⋊Q8—51no—
649C2×#121—51no—
650C2×#121—51no—
651C2×#121—51no—
652C2×#121—51no—
653C2×#121—51no—
654C2×#121C2×D511yescharacteristic
655C2×#120—51no—
656C2×#120—51no—
657C2×#120—51no—
658C2×C4×D4—51no—
659C2×C4×D4—51no—
660C2×C4×D4—51no—
661C2×C4×D4—51no—
662C2×C4×D4—51no—
663C2×C4×D4—51no—
664C22×C4⋊C4—51no—
665C22×C22⋊C4—51no—
666C22×C22⋊C4—51no—
667C22×C22⋊C4—51no—
668C22×C42—51no—
669C22×C42—51no—
670#400—51no—
671#400C2×D511yescharacteristic, complemented
672#399—51no—
673#399—51no—
674#398—51no—
675#398—51no—
676#398—51no—
677#398—51no—
678#397—51no—
679#397—51no—
680#397—51no—
681#397—51no—
682#396—51no—
683#396—51no—
684#396—51no—
685#396—51no—
686#395—51no—
687#395—51no—
688#394—51no—
689#394—51no—
690#394—51no—
691#394—51no—
692#394—51no—
693#394C2×D511yescharacteristic
694#394C2×D511yescharacteristic
695#394C2×D511yescharacteristic, complemented
696#393—51no—
697#393—51no—
698#392—51no—
699#392—51no—
700#392—51no—
701#392—51no—
702#391—51no—
703#391—51no—
704#391—51no—
705#390—51no—
706#390—51no—
707#390—51no—
708#390—51no—
709#390—51no—
710#390—51no—
711#390—51no—
712#390—51no—
713#390C2×D511yescharacteristic
714#389—51no—
715#389—51no—
716#389—51no—
717#389—51no—
718#389—51no—
719#389C2×D511yescharacteristic, complemented
720#388—51no—
721#388—51no—
722#388—51no—
723#388—51no—
724#388—51no—
725#388—51no—
726#388—51no—
727#388—51no—
728#388—51no—
729#388—51no—
730#388—51no—
731#388—51no—
732#388—51no—
733#388—51no—
734#388—51no—
735#388—51no—
736#388—51no—
737#388—51no—
738#388—51no—
739#388—51no—
740#388—51no—
741#388—51no—
742#388—51no—
743#388—51no—
744#388C2×D511yescharacteristic
745#388C2×D511yescharacteristic
746#387—51no—
747#387—51no—
748#386—51no—
749#386—51no—
750#386—51no—
751#386—51no—
752#386—51no—
753#386—51no—
754#386—51no—
755#386—51no—
756#386—51no—
757#386—51no—
758#386C2×D511yescharacteristic
759#386C2×D511yescharacteristic, complemented
760#385—51no—
761#385—51no—
762#385—51no—
763#385C2×D511yescharacteristic, complemented
764#382—51no—
765#381—51no—
766#380—51no—
767#380—51no—
768#379—51no—
769C4×C4⋊C4—51no—
770C4×C4⋊C4—51no—
771C4×C4⋊C4—51no—
772C4×C4⋊C4—51no—
773C4×C22⋊C4—51no—
774C4×C22⋊C4—51no—
775C4×C22⋊C4—51no—
776C4×C22⋊C4—51no—
777C4×C22⋊C4—51no—
778C4×C22⋊C4—51no—
779C4×C22⋊C4C2×D511yescharacteristic, complemented
780C4×C22⋊C4C2×D511yescharacteristic, complemented
781C2×#95—51no—
782C2×#95—51no—
783C43—51no—
784C23×C5—21no—
785C23×C5—21no—
786C23×C5—21no—
787C23×C5—21no—
788C23×C5—21no—
789C23×C5—21no—
790C23×C5—21no—
791C23×C5—21no—
792C23×C5—21no—
793C23×C5—21no—
794C23×C5—21no—
795C23×C5—21no—
796C23×C5—21no—
797C23×C5—21no—
798C23×C5—21no—
799C23×C5—21no—
800C23×C5—21no—
801C23×C5—21no—
802C23×C5—21no—
803C23×C5—21no—
804C23×C5C22×D412yes—
805C23×C5C2511yescharacteristic
806C22×D5—21no—
807C22×D5—21no—
808C22×D5—21no—
809C22×D5—21no—
810C22×D5—21no—
811C22×D5—21no—
812C22×D5—21no—
813C22×D5—21no—
814C22×D5—21no—
815C22×D5—21no—
816C22×D5—21no—
817C22×D5—21no—
818C22×D5—21no—
819C22×D5—21no—
820C22×D5—21no—
821C22×D5—21no—
822C22×D5—21no—
823C22×D5—21no—
824C22×D5—44no—
825C22×D5—44no—
826C22×D5—44no—
827C22×D5—82no—
828C22×D5—82no—
829C22×D5—82no—
830C22×D5—82no—
831C22×D5C22×D412yes—
832C22×D5C2×#4112yes—
833C22×D5C2×#4112yes—
834C5×D4—82no—
835C5×D4—82no—
836C5×D4—82no—
837C2×C4×C5—21no—
838C2×C4×C5—21no—
839C2×C4×C5—21no—
840C2×C4×C5—21no—
841C2×C4×C5—21no—
842C2×C4×C5—21no—
843C2×C4×C5—21no—
844C2×C4×C5—21no—
845C2×C4×C5—21no—
846C2×C4×C5—21no—
847C2×C4×C5—21no—
848C2×C4×C5—21no—
849C2×C4×C5—21no—
850C2×C4×C5—21no—
851C2×C4×C5—21no—
852C2×C4×C5—21no—
853C2×C4×C5—21no—
854C2×C4×C5—21no—
855C2×C4×C5—21no—
856C2×C4×C5—21no—
857C2×C4×C5—21no—
858C2×C4×C5—21no—
859C2×C4×C5—21no—
860C2×C4×C5—21no—
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—44no—
870C2×C4×C5—82no—
871C2×C4×C5C22×D412yes—
872C2×C4×C5C22×D412yes—
873C2×C4×C5C2×#4112yes—
874C2×C4×C5C2×#4112yes—
875C22⋊D5—28no—
876C22⋊D5—44no—
877C22⋊D5—44no—
878C22⋊D5—82no—
879C22⋊D5—82no—
880C22⋊D5—82no—
881C22⋊D5—82no—
882C2×Dic5—21no—
883C2×Dic5—21no—
884C2×Dic5—21no—
885C2×Dic5—21no—
886C2×Dic5—21no—
887C2×Dic5—21no—
888C2×Dic5—21no—
889C2×Dic5—21no—
890C2×Dic5—21no—
891C2×Dic5—21no—
892C2×Dic5—21no—
893C2×Dic5—21no—
894C2×Dic5—21no—
895C2×Dic5—21no—
896C2×Dic5—21no—
897C2×Dic5—21no—
898C2×Dic5—21no—
899C2×Dic5—21no—
900C2×Dic5—21no—
901C2×Dic5—21no—
902C2×Dic5—21no—
903C2×Dic5—21no—
904C2×Dic5—21no—
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—44no—
916C2×Dic5—44no—
917C2×Dic5C22×D412yes—
918C2×Dic5C22×D412yes—
919C2×Dic5C22×D412yes—
920C2×Dic5C2×#4112yes—
921C2×Dic5C2×#4112yes—
922C2×Dic5H(5,𝔽2)12yes—
923D20—44no—
924D20—82no—
925C4×D5—44no—
926C4×D5—44no—
927C4×D5—44no—
928C4×D5—44no—
929C4×D5—82no—
930C4×D5—82no—
931C4×D5—82no—
932Dic10—82no—
933Dic10—82no—
934C25—51no—
935C22×Q8—51no—
936C22×Q8—51no—
937C22×D4—51no—
938C22×D4—51no—
939C22×D4—51no—
940C22×D4—51no—
941C22×D4—51no—
942C22×D4—51no—
943C22×D4—51no—
944C22×D4—51no—
945C22×D4—51no—
946C22×D4C22×D511yescharacteristic
947C22×D4C22×D511yescharacteristic
948C22×D4C22×D511yescharacteristic
949C23×C4—51no—
950C23×C4—51no—
951C23×C4—51no—
952C23×C4—51no—
953C23×C4—51no—
954C23×C4—51no—
955C23×C4—51no—
956C23×C4—51no—
957C23×C4—51no—
958C23×C4C22×D511yescharacteristic
959C23×C4C22×D511yescharacteristic
960#126—24no—
961#126—104no—
962#126—104no—
963#126—104no—
964#125—104no—
965#125—104no—
966#124—104no—
967#124—104no—
968#124—202no—
969#123—104no—
970#123—104no—
971#123—104no—
972#123—104no—
973#123—104no—
974#123—104no—
975#123—104no—
976C22⋊Q8—104no—
977C22⋊Q8—104no—
978C22⋊Q8—104no—
979C22⋊Q8—104no—
980#121—24no—
981#121—104no—
982#121—104no—
983#121—104no—
984#121—104no—
985#121—202no—
986#120—104no—
987#120—104no—
988#120—104no—
989C4×D4—58no—
990C4×D4—104no—
991C4×D4—104no—
992C4×D4—104no—
993C4×D4—104no—
994C4×D4—202no—
995C2×C4⋊C4—51no—
996C2×C4⋊C4—51no—
997C2×C4⋊C4—51no—
998C2×C4⋊C4—51no—
999C2×C4⋊C4—51no—
1000C2×C4⋊C4—51no—
1001C2×C4⋊C4—51no—
1002C2×C4⋊C4—51no—
1003C2×C4⋊C4—51no—
1004C2×C4⋊C4—51no—
1005C2×C4⋊C4—51no—
1006C2×C4⋊C4—51no—
1007C2×C4⋊C4—51no—
1008C2×C4⋊C4—51no—
1009C2×C4⋊C4—51no—
1010C2×C4⋊C4—51no—
1011C2×C4⋊C4—51no—
1012C2×C4⋊C4—51no—
1013C2×C4⋊C4—51no—
1014C2×C4⋊C4—51no—
1015C2×C4⋊C4—51no—
1016C2×C4⋊C4—51no—
1017C2×C4⋊C4—51no—
1018C2×C4⋊C4—51no—
1019C2×C4⋊C4—104no—
1020C2×C4⋊C4C22×D511yescharacteristic
1021C2×C4⋊C4C22×D511yescharacteristic
1022C2×C4⋊C4C22×D511yescharacteristic
1023C2×C4⋊C4C22×D511yescharacteristic
1024C2×C4⋊C4C22×D511yescharacteristic
1025C2×C4⋊C4C22×D511yescharacteristic
1026C2×C22⋊C4—51no—
1027C2×C22⋊C4—51no—
1028C2×C22⋊C4—51no—
1029C2×C22⋊C4—51no—
1030C2×C22⋊C4—51no—
1031C2×C22⋊C4—51no—
1032C2×C22⋊C4—51no—
1033C2×C22⋊C4—51no—
1034C2×C22⋊C4—51no—
1035C2×C22⋊C4—51no—
1036C2×C22⋊C4—51no—
1037C2×C22⋊C4—51no—
1038C2×C22⋊C4—51no—
1039C2×C22⋊C4—51no—
1040C2×C22⋊C4—51no—
1041C2×C22⋊C4—51no—
1042C2×C22⋊C4—51no—
1043C2×C22⋊C4—51no—
1044C2×C22⋊C4—51no—
1045C2×C22⋊C4—51no—
1046C2×C22⋊C4—51no—
1047C2×C22⋊C4—51no—
1048C2×C22⋊C4—51no—
1049C2×C22⋊C4—51no—
1050C2×C22⋊C4—51no—
1051C2×C22⋊C4—51no—
1052C2×C22⋊C4—51no—
1053C2×C22⋊C4—51no—
1054C2×C22⋊C4—51no—
1055C2×C22⋊C4—51no—
1056C2×C22⋊C4—51no—
1057C2×C22⋊C4—51no—
1058C2×C22⋊C4—51no—
1059C2×C22⋊C4—51no—
1060C2×C22⋊C4—51no—
1061C2×C22⋊C4—51no—
1062C2×C22⋊C4—51no—
1063C2×C22⋊C4—51no—
1064C2×C22⋊C4—51no—
1065C2×C22⋊C4—104no—
1066C2×C22⋊C4—104no—
1067C2×C22⋊C4—202no—
1068C2×C22⋊C4C22×D511yescharacteristic
1069C2×C22⋊C4C22×D511yescharacteristic
1070C2×C22⋊C4C22×D511yescharacteristic
1071C2×C22⋊C4C22×D511yescharacteristic
1072C2×C22⋊C4C22×D511yescharacteristic
1073C2×C22⋊C4C22×D511yescharacteristic
1074C2×C22⋊C4C22×D511yescharacteristic
1075C2×C22⋊C4C22×D511yescharacteristic
1076C2×C22⋊C4C22×D511yescharacteristic
1077C2×C22⋊C4C22×D511yescharacteristic
1078C2×C22⋊C4C22×D511yescharacteristic
1079C2×C22⋊C4C22×D511yescharacteristic
1080C2×C22⋊C4C22×D511yescharacteristic
1081C2×C42—51no—
1082C2×C42—51no—
1083C2×C42—51no—
1084C2×C42—51no—
1085C2×C42—51no—
1086C2×C42—51no—
1087C2×C42—51no—
1088C2×C42—51no—
1089C2×C42—51no—
1090C2×C42—51no—
1091C2×C42—51no—
1092C2×C42—51no—
1093C2×C42—202no—
1094C2×C42—202no—
1095C2×C42C22×D511yescharacteristic
1096C2×C42C22×D511yescharacteristic
1097C2×C42C22×D511yescharacteristic
1098#95—51no—
1099#95—51no—
1100#95—51no—
1101#95—51no—
1102#95—51no—
1103#95—51no—
1104#95—51no—
1105#95—51no—
1106#95—51no—
1107#95—51no—
1108#95—51no—
1109#95—51no—
1110#95—51no—
1111#95—51no—
1112#95—51no—
1113#95—51no—
1114#95—51no—
1115#95—51no—
1116#95—51no—
1117#95—51no—
1118#95—51no—
1119#95—51no—
1120#95—51no—
1121#95—51no—
1122#95C22×D511yescharacteristic
1123#95C22×D511yescharacteristic
1124#95C22×D511yescharacteristic
1125#95C22×D511yescharacteristic
1126#95C22×D511yescharacteristic
1127#95C22×D511yescharacteristic
1128#95C22×D511yescharacteristic
1129#95C22×D511yescharacteristic
1130C22×C5—22no—
1131C22×C5—22no—
1132C22×C5—22no—
1133C22×C5—41no—
1134C22×C5—41no—
1135C22×C5—41no—
1136C22×C5—41no—
1137C22×C5—41no—
1138C22×C5—41no—
1139C22×C5—41no—
1140C22×C5—41no—
1141C22×C5—41no—
1142C22×C5—41no—
1143C22×C5—41no—
1144C22×C5—41no—
1145C22×C5—41no—
1146C22×C5—41no—
1147C22×C5—41no—
1148C22×C5—41no—
1149C22×C5—41no—
1150C22×C5—41no—
1151C22×C5C23×D411yescharacteristic
1152C22×C5C22×#4111yescharacteristic
1153C22×C5C22×#4111yescharacteristic
1154C22×C5C2×H(5,𝔽2)11yescharacteristic
1155C22×C5#58511yescharacteristic
1156C22×C5#58511yescharacteristic
1157C22×C5#58511yescharacteristic
1158C2×D5—22no—
1159C2×D5—22no—
1160C2×D5—22no—
1161C2×D5—22no—
1162C2×D5—22no—
1163C2×D5—22no—
1164C2×D5—41no—
1165C2×D5—41no—
1166C2×D5—41no—
1167C2×D5—41no—
1168C2×D5—41no—
1169C2×D5—41no—
1170C2×D5—41no—
1171C2×D5—41no—
1172C2×D5—41no—
1173C2×D5—41no—
1174C2×D5—41no—
1175C2×D5—41no—
1176C2×D5—41no—
1177C2×D5—41no—
1178C2×D5—88no—
1179C2×D5#53214yes—
1180C4×C5—22no—
1181C4×C5—22no—
1182C4×C5—22no—
1183C4×C5—22no—
1184C4×C5—41no—
1185C4×C5—41no—
1186C4×C5—41no—
1187C4×C5—41no—
1188C4×C5—41no—
1189C4×C5—41no—
1190C4×C5—41no—
1191C4×C5—41no—
1192Dic5—22no—
1193Dic5—22no—
1194Dic5—22no—
1195Dic5—22no—
1196Dic5—22no—
1197Dic5—22no—
1198Dic5—41no—
1199Dic5—41no—
1200Dic5—41no—
1201Dic5—41no—
1202Dic5—41no—
1203Dic5—41no—
1204Dic5—41no—
1205C24—51no—
1206C24—51no—
1207C24—51no—
1208C24—102no—
1209C24—102no—
1210C24—102no—
1211C24—201no—
1212C24—201no—
1213C24—201no—
1214C24—201no—
1215C24C23×D511yescharacteristic
1216C24C23×D511yescharacteristic
1217C24C23×D511yescharacteristic
1218C2×Q8—102no—
1219C2×Q8—102no—
1220C2×Q8—201no—
1221C2×Q8—201no—
1222C2×Q8—201no—
1223C2×Q8—201no—
1224C2×D4—22no—
1225C2×D4—22no—
1226C2×D4—22no—
1227C2×D4—41no—
1228C2×D4—41no—
1229C2×D4—41no—
1230C2×D4—41no—
1231C2×D4—41no—
1232C2×D4—41no—
1233C2×D4—54no—
1234C2×D4—102no—
1235C2×D4—102no—
1236C2×D4—102no—
1237C2×D4—102no—
1238C2×D4—102no—
1239C2×D4—102no—
1240C2×D4—102no—
1241C2×D4—102no—
1242C2×D4—102no—
1243C2×D4—102no—
1244C2×D4—102no—
1245C2×D4—102no—
1246C2×D4—102no—
1247C2×D4—102no—
1248C2×D4—201no—
1249C2×D4—201no—
1250C2×D4—201no—
1251C2×D4—201no—
1252C2×D4—201no—
1253C2×D4—201no—
1254C2×D4—201no—
1255C2×D4—201no—
1256C2×D4—201no—
1257C2×D4—201no—
1258C2×D4—201no—
1259C2×D4—201no—
1260C22×C4—22no—
1261C22×C4—22no—
1262C22×C4—41no—
1263C22×C4—41no—
1264C22×C4—41no—
1265C22×C4—41no—
1266C22×C4—51no—
1267C22×C4—51no—
1268C22×C4—51no—
1269C22×C4—51no—
1270C22×C4—51no—
1271C22×C4—51no—
1272C22×C4—54no—
1273C22×C4—54no—
1274C22×C4—54no—
1275C22×C4—51no—
1276C22×C4—51no—
1277C22×C4—51no—
1278C22×C4—51no—
1279C22×C4—51no—
1280C22×C4—51no—
1281C22×C4—51no—
1282C22×C4—102no—
1283C22×C4—102no—
1284C22×C4—102no—
1285C22×C4—102no—
1286C22×C4—102no—
1287C22×C4—102no—
1288C22×C4—102no—
1289C22×C4—102no—
1290C22×C4—102no—
1291C22×C4—102no—
1292C22×C4—201no—
1293C22×C4—201no—
1294C22×C4—201no—
1295C22×C4—201no—
1296C22×C4—201no—
1297C22×C4—201no—
1298C22×C4—201no—
1299C22×C4—201no—
1300C22×C4—201no—
1301C22×C4—201no—
1302C22×C4—201no—
1303C22×C4—201no—
1304C22×C4—201no—
1305C22×C4—201no—
1306C22×C4C23×D511yescharacteristic
1307C22×C4C23×D511yescharacteristic
1308C22×C4C23×D511yescharacteristic
1309C22×C4C23×D511yescharacteristic
1310C22×C4C23×D511yescharacteristic
1311C22×C4C23×D511yescharacteristic
1312C22×C4C23×D511yescharacteristic
1313C22×C4C23×D511yescharacteristic
1314C22×C4C23×D511yescharacteristic
1315C22×C4C23×D511yescharacteristic
1316C22×C4C23×D511yescharacteristic
1317C22×C4C23×D511yescharacteristic
1318C4⋊C4—22no—
1319C4⋊C4—22no—
1320C4⋊C4—22no—
1321C4⋊C4—22no—
1322C4⋊C4—41no—
1323C4⋊C4—41no—
1324C4⋊C4—54no—
1325C4⋊C4—102no—
1326C4⋊C4—102no—
1327C4⋊C4—102no—
1328C4⋊C4—102no—
1329C4⋊C4—102no—
1330C4⋊C4—102no—
1331C4⋊C4—102no—
1332C4⋊C4—102no—
1333C4⋊C4—102no—
1334C4⋊C4—102no—
1335C4⋊C4—102no—
1336C4⋊C4—102no—
1337C4⋊C4—102no—
1338C4⋊C4—102no—
1339C4⋊C4—102no—
1340C4⋊C4—102no—
1341C4⋊C4—102no—
1342C4⋊C4—102no—
1343C4⋊C4—102no—
1344C4⋊C4—201no—
1345C4⋊C4—201no—
1346C4⋊C4—201no—
1347C4⋊C4—201no—
1348C22⋊C4—22no—
1349C22⋊C4—22no—
1350C22⋊C4—22no—
1351C22⋊C4—22no—
1352C22⋊C4—22no—
1353C22⋊C4—22no—
1354C22⋊C4—22no—
1355C22⋊C4—22no—
1356C22⋊C4—41no—
1357C22⋊C4—41no—
1358C22⋊C4—41no—
1359C22⋊C4—41no—
1360C22⋊C4—54no—
1361C22⋊C4—54no—
1362C22⋊C4—102no—
1363C22⋊C4—102no—
1364C22⋊C4—102no—
1365C22⋊C4—102no—
1366C22⋊C4—102no—
1367C22⋊C4—102no—
1368C22⋊C4—102no—
1369C22⋊C4—102no—
1370C22⋊C4—102no—
1371C22⋊C4—102no—
1372C22⋊C4—102no—
1373C22⋊C4—102no—
1374C22⋊C4—102no—
1375C22⋊C4—102no—
1376C22⋊C4—102no—
1377C22⋊C4—102no—
1378C22⋊C4—102no—
1379C22⋊C4—102no—
1380C22⋊C4—102no—
1381C22⋊C4—102no—
1382C22⋊C4—102no—
1383C22⋊C4—102no—
1384C22⋊C4—102no—
1385C22⋊C4—102no—
1386C22⋊C4—102no—
1387C22⋊C4—102no—
1388C22⋊C4—102no—
1389C22⋊C4—102no—
1390C22⋊C4—102no—
1391C22⋊C4—201no—
1392C22⋊C4—201no—
1393C22⋊C4—201no—
1394C22⋊C4—201no—
1395C22⋊C4—201no—
1396C22⋊C4—201no—
1397C22⋊C4—201no—
1398C22⋊C4—201no—
1399C22⋊C4D4×D514yes—
1400C42—22no—
1401C42—41no—
1402C42—41no—
1403C42—54no—
1404C42—102no—
1405C42—102no—
1406C42—102no—
1407C42—102no—
1408C42—102no—
1409C42—102no—
1410C42—201no—
1411C42—201no—
1412C42—201no—
1413C42—201no—
1414C42—201no—
1415C2×C5—42no—
1416C2×C5—81no—
1417C2×C5—81no—
1418C2×C5C2×#53211yescharacteristic
1419C2×C5#345511yescharacteristic
1420C2×C5#345911yescharacteristic
1421C2×C5#349611yescharacteristic
1422C2×C5#350011yescharacteristic
1423C2×C5#351311yescharacteristic
1424C2×C5#352111yescharacteristic
1425D5—24no—
1426D5—81no—
1427D5—81no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—52no—
1449C23—52no—
1450C23—52no—
1451C23—101no—
1452C23—101no—
1453C23—101no—
1454C23—101no—
1455C23—101no—
1456C23—101no—
1457C23—101no—
1458C23—101no—
1459C23—101no—
1460C23—101no—
1461C23—101no—
1462C23—101no—
1463C23—101no—
1464C23—101no—
1465C23—101no—
1466C23—101no—
1467C23—101no—
1468C23—101no—
1469C23—204no—
1470C23—204no—
1471C23—204no—
1472C23—402no—
1473C23—402no—
1474C23—402no—
1475C23—402no—
1476C23C2×D4×D512yes—
1477C23C24×D511yescharacteristic
1478Q8—402no—
1479Q8—402no—
1480D4—82no—
1481D4—82no—
1482D4—82no—
1483D4—108no—
1484D4—204no—
1485D4—204no—
1486D4—204no—
1487D4—402no—
1488D4—402no—
1489D4—402no—
1490D4—402no—
1491D4—402no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—44no—
1525C2×C4—52no—
1526C2×C4—52no—
1527C2×C4—52no—
1528C2×C4—52no—
1529C2×C4—52no—
1530C2×C4—52no—
1531C2×C4—82no—
1532C2×C4—101no—
1533C2×C4—101no—
1534C2×C4—101no—
1535C2×C4—101no—
1536C2×C4—101no—
1537C2×C4—101no—
1538C2×C4—101no—
1539C2×C4—101no—
1540C2×C4—101no—
1541C2×C4—101no—
1542C2×C4—101no—
1543C2×C4—101no—
1544C2×C4—101no—
1545C2×C4—101no—
1546C2×C4—101no—
1547C2×C4—101no—
1548C2×C4—101no—
1549C2×C4—101no—
1550C2×C4—101no—
1551C2×C4—101no—
1552C2×C4—101no—
1553C2×C4—101no—
1554C2×C4—101no—
1555C2×C4—101no—
1556C2×C4—101no—
1557C2×C4—101no—
1558C2×C4—101no—
1559C2×C4—101no—
1560C2×C4—101no—
1561C2×C4—101no—
1562C2×C4—101no—
1563C2×C4—101no—
1564C2×C4—101no—
1565C2×C4—204no—
1566C2×C4—204no—
1567C2×C4—204no—
1568C2×C4—204no—
1569C2×C4—204no—
1570C2×C4—204no—
1571C2×C4—402no—
1572C2×C4—402no—
1573C2×C4—402no—
1574C2×C4C2×D4×D512yes—
1575C2×C4C2×D4×D512yes—
1576C2×C4D5×#4112yes—
1577C2×C4D5×#4112yes—
1578C5#3500911yescharacteristic, complemented, Sylow
1579C22—22no—
1580C22—22no—
1581C22—22no—
1582C22—41no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—54no—
1601C22—102no—
1602C22—102no—
1603C22—102no—
1604C22—102no—
1605C22—102no—
1606C22—102no—
1607C22—201no—
1608C22—201no—
1609C22—201no—
1610C22—201no—
1611C22—201no—
1612C22—201no—
1613C22—201no—
1614C22—201no—
1615C22—201no—
1616C22—201no—
1617C22—201no—
1618C22—201no—
1619C22—201no—
1620C22—201no—
1621C22—408no—
1622C22C22×D4×D511yescharacteristic
1623C22C2×D5×#4111yescharacteristic
1624C22C2×D5×#4111yescharacteristic
1625C22#6628311yescharacteristic
1626C22#6628311yescharacteristic
1627C22D5×H(5,𝔽2)11yescharacteristic
1628C22#6628511yescharacteristic
1629C4—22no—
1630C4—22no—
1631C4—22no—
1632C4—22no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—102no—
1642C4—102no—
1643C4—102no—
1644C4—102no—
1645C4—102no—
1646C4—102no—
1647C4—201no—
1648C4—201no—
1649C4—201no—
1650C4—201no—
1651C4—201no—
1652C4—201no—
1653C4—201no—
1654C2—42no—
1655C2—81no—
1656C2—81no—
1657C2—104no—
1658C2—401no—
1659C2—401no—
1660C2#1061804711yescharacteristic
1661C2D5×#53211yescharacteristic
1662C2#1061828911yescharacteristic
1663C2#1061853311yescharacteristic
1664C2#1061856611yescharacteristic
1665C2#1061878411yescharacteristic
1666C2#1061879011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D5
commutator, socle, cosocleC23×C5C25
FittingC5×#2559C2
hypercenter#2559D5
hypocenterC5#35009
LCSG ▷ C23×C5 ▷ C5
UCSC1 ◁ C23 ◁ #2559

Complements

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

NH ≅ G/Ntype
1. C2×#66041C2semidirect
2. C2×#65947C2semidirect
3. C5×#2559C2semidirect
4. #10614817C2semidirect
5. #10614390C2semidirect
6. #10610078C2semidirect
7. #10609964C2semidirect
8. #10608846C2semidirect
9. #10608845C2semidirect
10. #10608729C2semidirect
11. #10608728C2semidirect
12. #10608725C2semidirect
13. #10608656C2semidirect
14. #10608185C2semidirect
15. #10608157C2semidirect
16. #10607975C2semidirect
17. #10607922C2semidirect
18. #10607620C2semidirect
19. #10607558C2semidirect
20. D5×#388C2semidirect
21. #10607296C2semidirect
22. #10606633C2semidirect
23. #10606632C2semidirect
24. #10606603C2semidirect
25. #10606600C2semidirect
26. #10606324C2semidirect
27. #10606162C2semidirect
28. #10605333C2semidirect
29. C4×#4030C2semidirect
30. #10605268C2semidirect
31. C4×#4027C2semidirect
32. C2×C5×#126C22semidirect
44. C2×C4×C22⋊D5C22semidirect
45. C22×C4×Dic5C22semidirect
49. C2×#4044C22semidirect
52. C2×#4042C22semidirect
55. C2×#4036C22semidirect
56. C2×#4032C22semidirect
63. C2×#4029C22semidirect
71. C2×#4024C22semidirect
74. C2×#4016C22semidirect
75. C5×#400C22semidirect
78. C5×#394C22semidirect
80. C5×#389C22semidirect
84. C5×#386C22semidirect
85. C5×#385C22semidirect
86. C4×C5×C22⋊C4C22semidirect
87. C4×C5×C22⋊C4C22semidirect
89. #65512C22semidirect
92. #65509C22semidirect
94. #65502C22semidirect
95. #65499C22semidirect
99. #65279C22semidirect
104. #65274C22semidirect
105. #65273C22semidirect
106. #65272C22semidirect
107. #65268C22semidirect
108. #65268C22semidirect
109. #65267C22semidirect
110. #65263C22semidirect
111. #65262C22semidirect
117. #65248C22semidirect
122. #65246C22semidirect
127. #65242C22semidirect
128. #65241C22semidirect
132. #65240C22semidirect
133. #65240C22semidirect
136. #65237C22semidirect
142. #65233C22semidirect
143. #65233C22semidirect
144. #65233C22semidirect
145. #65231C22semidirect
146. C22⋊C4×Dic5C22semidirect
147. C22⋊C4×Dic5C22semidirect
152. C4×#685C22semidirect
153. C4×#683C22semidirect
154. C4×#683C22semidirect
155. C42×Dic5C22semidirect
156. #65218C22semidirect
159. #64964C22semidirect
161. #64962C22semidirect
165. #64959C22semidirect
167. #64958C22semidirect
168. #64958C22semidirect
178. #64947C22semidirect
179. #64946C22semidirect
180. #64946C22semidirect
181. #64942C22semidirect
182. #64939C22semidirect
183. #64938C22semidirect
184. #64938C22semidirect
185. #64936C22semidirect
186. #64936C22semidirect
187. #64936C22semidirect
188. #64935C22semidirect
345. #4027D4semidirect
397. #2559D5semidirect
632. C2×#126C2×D5semidirect
671. #400C2×D5semidirect
695. #394C2×D5semidirect
719. #389C2×D5semidirect
759. #386C2×D5semidirect
763. #385C2×D5semidirect
779. C4×C22⋊C4C2×D5semidirect
780. C4×C22⋊C4C2×D5semidirect
1578. C5#35009semidirect

Maximal subgroups

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

subgroupindex
C2×#660412
C2×#659472
C5×#25592
#106148172
#106143902
#106100782
#106099642
#106088462
#106088452
#106087292
#106087282
#106087252
#106086562
#106081852
#106081572
#106079752
#106079222
#106076202
#106075582
D5×#3882
#106072962
#106066332
#106066322
#106066032
#106066002
#106063242
#106061622
#106053332
C4×#40302
#106052682
C4×#40272
#350095