Finite Group Databasebeta

← #12267966

Subgroups — #12267966

Order 1280.

2938 conjugacy classes of subgroups.

The subgroup lattice has 1714 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#65940C211yesmaximal, characteristic, complemented
2C2×#65856C211yesmaximal, characteristic, complemented
3C5×#2476C211yesmaximal, characteristic, complemented
4#10614389C211yesmaximal, characteristic, complemented
5#10614009C211yesmaximal, characteristic, complemented
6#10609684C211yesmaximal, characteristic, complemented
7#10609470C211yesmaximal, characteristic, complemented
8#10608849C211yesmaximal, characteristic, complemented
9#10608844C211yesmaximal, characteristic, complemented
10#10608842C211yesmaximal, characteristic, complemented
11#10608624C211yesmaximal, characteristic, complemented
12#10608621C211yesmaximal, characteristic, complemented
13#10608620C211yesmaximal, characteristic, complemented
14#10608168C211yesmaximal, characteristic, complemented
15#10608022C211yesmaximal, characteristic, complemented
16#10607592C211yesmaximal, characteristic, complemented
17#10607585C211yesmaximal, characteristic, complemented
18#10607582C211yesmaximal, characteristic, complemented
19#10607184C211yesmaximal, characteristic, complemented
20#10607183C211yesmaximal, characteristic, complemented
21#10607180C211yesmaximal, characteristic, complemented
22#10607048C211yesmaximal, characteristic, complemented
23#10606668C211yesmaximal, characteristic, complemented
24#10606627C211yesmaximal, characteristic, complemented
25#10606617C211yesmaximal, characteristic, complemented
26#10606392C211yesmaximal, characteristic, complemented
27#10606389C211yesmaximal, characteristic, complemented
28#10606164C211yesmaximal, characteristic, complemented
29#10606110C211yesmaximal, characteristic, complemented
30C4×D5×C22⋊C4C211yesmaximal, characteristic, complemented
31#10605233C211yesmaximal, characteristic, complemented
32C22×#711C2211yescharacteristic
33C22×#709C2211yescharacteristic
34C23×C4×D5C2211yescharacteristic
35C2×C5×#121C2211yescharacteristic
36C2×C5×#117C2211yescharacteristic, complemented
37C2×#4084C2211yescharacteristic
38C2×#4084C2211yescharacteristic
39C2×#4083C2211yescharacteristic
40C2×#4083C2211yescharacteristic
41C2×#4081C2211yescharacteristic
42C2×D4×Dic5C2211yescharacteristic
43C2×D4×Dic5C2211yescharacteristic
44C2×#4070C2211yescharacteristic
45C22×C4×Dic5C2211yescharacteristic, complemented
46#65940—28no—
47#65856—28no—
48C2×#4043C2211yescharacteristic
49C2×#4039C2211yescharacteristic
50C2×#4039C2211yescharacteristic
51C2×#4039C2211yescharacteristic
52C2×#4038C2211yescharacteristic
53C2×#4033C2211yescharacteristic, complemented
54C2×#4033C2211yescharacteristic, complemented
55C2×#4030C2211yescharacteristic
56C2×#4029C2211yescharacteristic
57C2×#4029C2211yescharacteristic
58C2×#4029C2211yescharacteristic
59C2×#4028C2211yescharacteristic
60C2×#4027C2211yescharacteristic
61C2×#4027C2211yescharacteristic
62C2×#4027C2211yescharacteristic
63C2×#4027C2211yescharacteristic
64C2×#4027C2211yescharacteristic, complemented
65C2×#4027C2211yescharacteristic, complemented
66C2×#4027C2211yescharacteristic, complemented
67C2×D5×C22⋊C4C2211yescharacteristic
68C2×D5×C22⋊C4C2211yescharacteristic
69C2×#4023C2211yescharacteristic, complemented
70C2×#4018C2211yescharacteristic
71C2×#4018C2211yescharacteristic, complemented
72C2×C42×D5C2211yescharacteristic
73C2×C42×D5C2211yescharacteristic
74C2×C42×D5C2211yescharacteristic, complemented
75C5×#398C2211yescharacteristic, complemented
76C5×#394C2211yescharacteristic
77C5×#394C2211yescharacteristic
78C5×#394C2211yescharacteristic, complemented
79C5×#390C2211yescharacteristic
80C5×#388C2211yescharacteristic, complemented
81C5×#388C2211yescharacteristic, complemented
82C5×#388C2211yescharacteristic, complemented
83C5×#387C2211yescharacteristic, complemented
84C5×#386C2211yescharacteristic
85C5×#386C2211yescharacteristic, complemented
86C5×#385C2211yescharacteristic
87C4×C5×C22⋊C4C2211yescharacteristic
88#65512C2211yescharacteristic
89#65512C2211yescharacteristic, complemented
90#65511C2211yescharacteristic
91#65509C2211yescharacteristic, complemented
92#65502C2211yescharacteristic
93#65502C2211yescharacteristic
94#65499C2211yescharacteristic, complemented
95C4×C22⋊Dic5C2211yescharacteristic
96#65283C2211yescharacteristic
97#65283C2211yescharacteristic
98#65283C2211yescharacteristic, complemented
99#65281C2211yescharacteristic
100#65278C2211yescharacteristic
101#65278C2211yescharacteristic
102#65278C2211yescharacteristic
103#65278C2211yescharacteristic
104#65278C2211yescharacteristic, complemented
105#65276C2211yescharacteristic, complemented
106#65275C2211yescharacteristic, complemented
107#65273C2211yescharacteristic, complemented
108#65270C2211yescharacteristic, complemented
109#65268C2211yescharacteristic, complemented
110C4⋊C4×Dic5C2211yescharacteristic, complemented
111C4⋊C4×Dic5C2211yescharacteristic, complemented
112#65261C2211yescharacteristic, complemented
113#65250C2211yescharacteristic, complemented
114#65249C2211yescharacteristic
115#65249C2211yescharacteristic
116#65248C2211yescharacteristic
117#65248C2211yescharacteristic
118#65248C2211yescharacteristic
119#65247C2211yescharacteristic
120#65246C2211yescharacteristic
121#65246C2211yescharacteristic
122#65246C2211yescharacteristic, complemented
123#65245C2211yescharacteristic
124#65245C2211yescharacteristic
125#65245C2211yescharacteristic
126#65245C2211yescharacteristic
127#65245C2211yescharacteristic
128#65245C2211yescharacteristic, complemented
129#65244C2211yescharacteristic
130#65241C2211yescharacteristic
131#65241C2211yescharacteristic, complemented
132#65241C2211yescharacteristic, complemented
133#65240C2211yescharacteristic, complemented
134#65237C2211yescharacteristic
135#65236C2211yescharacteristic
136#65236C2211yescharacteristic, complemented
137#65234C2211yescharacteristic
138#65234C2211yescharacteristic
139#65234C2211yescharacteristic
140#65234C2211yescharacteristic, complemented
141#65233C2211yescharacteristic, complemented
142#65232C2211yescharacteristic, complemented
143C22⋊C4×Dic5C2211yescharacteristic
144C22⋊C4×Dic5C2211yescharacteristic
145C22⋊C4×Dic5C2211yescharacteristic
146C22⋊C4×Dic5C2211yescharacteristic, complemented
147C22⋊C4×Dic5C2211yescharacteristic, complemented
148C22⋊C4×Dic5C2211yescharacteristic, complemented
149C22⋊C4×Dic5C2211yescharacteristic, complemented
150#65229C2211yescharacteristic
151#65229C2211yescharacteristic, complemented
152C4×#685C2211yescharacteristic
153C4×#685C2211yescharacteristic
154#65222C2211yescharacteristic, complemented
155#65222C2211yescharacteristic, complemented
156#65217C2211yescharacteristic, complemented
157#64962C2211yescharacteristic
158#64962C2211yescharacteristic, complemented
159#64958C2211yescharacteristic
160#64957C2211yescharacteristic
161#64957C2211yescharacteristic, complemented
162#64956C2211yescharacteristic
163#64955C2211yescharacteristic
164#64955C2211yescharacteristic
165#64955C2211yescharacteristic
166#64955C2211yescharacteristic
167#64955C2211yescharacteristic, complemented
168#64954C2211yescharacteristic
169#64954C2211yescharacteristic
170#64954C2211yescharacteristic
171#64954C2211yescharacteristic
172#64954C2211yescharacteristic
173#64953C2211yescharacteristic
174D5×#95C2211yescharacteristic
175D5×#95C2211yescharacteristic
176#64949C2211yescharacteristic, complemented
177#64948C2211yescharacteristic, complemented
178#64946C2211yescharacteristic, complemented
179#64945C2211yescharacteristic, complemented
180#64944C2211yescharacteristic, complemented
181#64944C2211yescharacteristic, complemented
182#64942C2211yescharacteristic, complemented
183#64941C2211yescharacteristic, complemented
184#64938C2211yescharacteristic, complemented
185#64938C2211yescharacteristic, complemented
186#64937C2211yescharacteristic, complemented
187#64935C2211yescharacteristic, complemented
188#64935C2211yescharacteristic, complemented
189#34732—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
205C23×Dic5C2311yescharacteristic
206C23×Dic5C2311yescharacteristic
207C2×#711—24no—
208C2×#711—24no—
209C2×#711—42no—
210C2×#709—24no—
211C2×#709—24no—
212C2×#709—24no—
213C22×D20C2311yescharacteristic
214C22×D20C2311yescharacteristic
215C22×C4×D5—24no—
216C22×C4×D5—24no—
217C22×C4×D5—42no—
218C22×C4×D5C2311yescharacteristic
219C22×C4×D5C2311yescharacteristic
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×C4×D5C2311yescharacteristic
229C22×Dic10C2311yescharacteristic
230C22×Dic10C2311yescharacteristic
231C5×#121—24no—
232C5×#117—24no—
233C2×C5×C4⋊C4C2311yescharacteristic
234C2×C5×C4⋊C4C2311yescharacteristic
235C2×C5×C4⋊C4C2311yescharacteristic
236C2×C5×C4⋊C4C2311yescharacteristic
237C2×C5×C4⋊C4C2311yescharacteristic
238C2×C5×C4⋊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×C42×C5C2311yescharacteristic
253C2×C42×C5C2311yescharacteristic
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
267#4084—24no—
268#4084—24no—
269#4083—24no—
270#4083—24no—
271#4081—24no—
272D4×Dic5—24no—
273D4×Dic5—24no—
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×#685C2311yescharacteristic
291C2×#685C2311yescharacteristic
292C2×#685C2311yescharacteristic
293C2×#685C2311yescharacteristic
294C2×#685C2311yescharacteristic
295C2×C4⋊Dic5C2311yescharacteristic
296C2×C4⋊Dic5C2311yescharacteristic
297C2×C4⋊Dic5C2311yescharacteristic
298C2×C4⋊Dic5C2311yescharacteristic
299C2×C4⋊Dic5C2311yescharacteristic
300#4070—24no—
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—24no—
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
327C2×C4×Dic5C2311yescharacteristic
328C2×C4×Dic5C2311yescharacteristic
329#4043—24no—
330#4039—24no—
331#4039—24no—
332#4039—24no—
333#4038—24no—
334#4033—24no—
335#4033—24no—
336#4030—24no—
337#4029—24no—
338#4029—24no—
339#4029—24no—
340#4028—24no—
341#4027—24no—
342#4027—24no—
343#4027—24no—
344#4027—24no—
345#4027—42no—
346#4027—42no—
347#4027D418yescomplemented
348D5×C22⋊C4—24no—
349D5×C22⋊C4—24no—
350#4023—42no—
351#4018—24no—
352#4018—24no—
353C42×D5—24no—
354C42×D5—24no—
355C42×D5—42no—
356C5×#95C2311yescharacteristic
357C5×#95C2311yescharacteristic
358C5×#95C2311yescharacteristic
359C5×#95C2311yescharacteristic
360C5×#95C2311yescharacteristic
361C5×#95C2311yescharacteristic
362C5×#95C2311yescharacteristic
363C5×#95C2311yescharacteristic
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×#525—51no—
393C2×C4×#41—51no—
394#2477—51no—
395#2476D511yescharacteristic, complemented
396#2471—51no—
397#2470—51no—
398#2465—51no—
399#2464—51no—
400#2458—51no—
401#2457—51no—
402#2450—51no—
403#2444—51no—
404#2438—51no—
405#2430—51no—
406#2424—51no—
407#2418—51no—
408#2411—51no—
409#2404—51no—
410#2398—51no—
411#2396—51no—
412#2392—51no—
413#2388—51no—
414C4×#123—51no—
415C4×#123—51no—
416C4×#121—51no—
417C4×#121—51no—
418C4×#120—51no—
419#2297—51no—
420#2290—51no—
421#2290—51no—
422C2×C4×C22⋊C4—51no—
423C24×C5C2411yescharacteristic
424C24×C5C2411yescharacteristic
425C24×C5C2411yescharacteristic
426C23×D5—22no—
427C23×D5—22no—
428C23×D5—22no—
429C23×D5—22no—
430C23×D5—22no—
431C23×D5—41no—
432C23×D5—41no—
433C23×D5C2411yescharacteristic
434C23×D5C2411yescharacteristic
435C23×D5C2411yescharacteristic
436C2×C5×D4—22no—
437C2×C5×D4—22no—
438C2×C5×D4—22no—
439C2×C5×D4—22no—
440C2×C5×D4—22no—
441C2×C5×D4—22no—
442C2×C5×D4—41no—
443C2×C5×D4—41no—
444C2×C5×D4—41no—
445C22×C4×C5—22no—
446C22×C4×C5—22no—
447C22×C4×C5—22no—
448C22×C4×C5—22no—
449C22×C4×C5—22no—
450C22×C4×C5—41no—
451C22×C4×C5C2411yescharacteristic
452C22×C4×C5C2411yescharacteristic
453C22×C4×C5C2411yescharacteristic
454C22×C4×C5C2411yescharacteristic
455C22×C4×C5C2411yescharacteristic
456C22×C4×C5C2411yescharacteristic
457C22×C4×C5C2411yescharacteristic
458C22×C4×C5C2411yescharacteristic
459C22×C4×C5C2411yescharacteristic
460C22×C4×C5C2411yescharacteristic
461C22×C4×C5C2411yescharacteristic
462C22×C4×C5C2411yescharacteristic
463C2×C22⋊D5—22no—
464C2×C22⋊D5—22no—
465C2×C22⋊D5—22no—
466C2×C22⋊D5—22no—
467C2×C22⋊D5—22no—
468C2×C22⋊D5—22no—
469C2×C22⋊D5—22no—
470C2×C22⋊D5—22no—
471C2×C22⋊D5—22no—
472C2×C22⋊D5—22no—
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—41no—
480C2×C22⋊D5—41no—
481C2×C22⋊D5—41no—
482C2×C22⋊D5—41no—
483C2×C22⋊D5C2×D414yes—
484C22×Dic5—22no—
485C22×Dic5—22no—
486C22×Dic5—22no—
487C22×Dic5—22no—
488C22×Dic5—22no—
489C22×Dic5—22no—
490C22×Dic5—22no—
491C22×Dic5—22no—
492C22×Dic5—22no—
493C22×Dic5—22no—
494C22×Dic5—41no—
495C22×Dic5C2×D414yes—
496C22×Dic5C2411yescharacteristic
497C22×Dic5C2411yescharacteristic
498C22×Dic5C2411yescharacteristic
499C22×Dic5C2411yescharacteristic
500C22×Dic5C2411yescharacteristic
501C22×Dic5C2411yescharacteristic
502C22×Dic5C2411yescharacteristic
503C22×Dic5C2411yescharacteristic
504C22×Dic5C2411yescharacteristic
505C22×Dic5C2411yescharacteristic
506C22×Dic5C2411yescharacteristic
507C22×Dic5C2411yescharacteristic
508C22×Dic5C2411yescharacteristic
509#711—416no—
510#709—232no—
511C2×D20—22no—
512C2×D20—22no—
513C2×D20—22no—
514C2×D20—22no—
515C2×D20—41no—
516C2×D20#4114yescomplemented
517C2×C4×D5—22no—
518C2×C4×D5—22no—
519C2×C4×D5—22no—
520C2×C4×D5—22no—
521C2×C4×D5—22no—
522C2×C4×D5—22no—
523C2×C4×D5—22no—
524C2×C4×D5—22no—
525C2×C4×D5—22no—
526C2×C4×D5—22no—
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—22no—
539C2×C4×D5—22no—
540C2×C4×D5—416no—
541C2×C4×D5—41no—
542C2×C4×D5—41no—
543C2×C4×D5—41no—
544C2×C4×D5—41no—
545C2×C4×D5—41no—
546C2×C4×D5—41no—
547C2×C4×D5—41no—
548C2×C4×D5C2×D414yes—
549C2×C4×D5#4114yescomplemented
550C2×C4×D5#4114yescomplemented
551C2×Dic10—22no—
552C2×Dic10—22no—
553C2×Dic10—22no—
554C2×Dic10—22no—
555C2×Dic10—22no—
556C2×Dic10—41no—
557C5×C4⋊C4—22no—
558C5×C4⋊C4—22no—
559C5×C4⋊C4—22no—
560C5×C4⋊C4—22no—
561C5×C4⋊C4—41no—
562C5×C4⋊C4—41no—
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—22no—
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—22no—
577C42×C5—22no—
578C42×C5—41no—
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—41no—
589C22⋊Dic5—41no—
590C22⋊Dic5#4114yescomplemented
591#685—22no—
592#685—22no—
593#685—22no—
594#685—22no—
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—22no—
605#685—22no—
606#685—22no—
607#685—41no—
608#685—41no—
609#685—41no—
610#685—41no—
611#685C2×D414yes—
612C4⋊Dic5—22no—
613C4⋊Dic5—22no—
614C4⋊Dic5—22no—
615C4⋊Dic5—22no—
616C4⋊Dic5—22no—
617#683—22no—
618#683—22no—
619#683—22no—
620#683—22no—
621#683—22no—
622#683—22no—
623#683—22no—
624#683—22no—
625#683—41no—
626#683—41no—
627#683—41no—
628#683—41no—
629#683C2×D414yes—
630C4×Dic5—22no—
631C4×Dic5—22no—
632C4×Dic5—22no—
633C4×Dic5—22no—
634C4×Dic5—22no—
635C4×Dic5—22no—
636C4×Dic5—22no—
637C4×Dic5—22no—
638C4×Dic5—22no—
639C4×Dic5—22no—
640C4×Dic5—22no—
641C4×Dic5—22no—
642C4×Dic5—41no—
643C4×Dic5C2×D414yes—
644C22×#41—51no—
645C22×#41—51no—
646C24×C4—51no—
647#525—108no—
648C2×#123—51no—
649C2×#123—51no—
650C2×#123—51no—
651C2×#123—51no—
652C2×C22⋊Q8—51no—
653C2×C22⋊Q8—51no—
654C2×#121—51no—
655C2×#121—51no—
656C2×#121—51no—
657C2×#121C2×D511yescharacteristic
658C2×#120—51no—
659C2×#120—51no—
660C2×#120—51no—
661C4×#41—108no—
662C2×C4×Q8—51no—
663C2×C4×Q8—51no—
664C2×C4×D4—51no—
665C2×C4×D4—51no—
666C2×C4×D4—51no—
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×#117—51no—
677C2×#117—51no—
678C2×#117—51no—
679C2×#117—51no—
680C2×#117C2×D511yescharacteristic, complemented
681C22×C22⋊C4—51no—
682C22×C22⋊C4—51no—
683C22×C42—51no—
684C22×C42—51no—
685C22×C42—51no—
686C22×C42—51no—
687#400—51no—
688#400—51no—
689#400—51no—
690#399—51no—
691#398—51no—
692#398—51no—
693#398C2×D511yescharacteristic, complemented
694#397—51no—
695#397—51no—
696#397—51no—
697#396—51no—
698#396—51no—
699#396—51no—
700#396—51no—
701#395—51no—
702#395—51no—
703#394—51no—
704#394—51no—
705#394—51no—
706#394—51no—
707#394—51no—
708#394C2×D511yescharacteristic
709#394C2×D511yescharacteristic
710#394C2×D511yescharacteristic, complemented
711#393—51no—
712#393—51no—
713#393—51no—
714#393—51no—
715#392—51no—
716#392—51no—
717#392—51no—
718#392—51no—
719#391—51no—
720#391—51no—
721#390—51no—
722#390—51no—
723#390—51no—
724#390C2×D511yescharacteristic
725#389—51no—
726#389—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#388C2×D511yescharacteristic, complemented
737#388C2×D511yescharacteristic, complemented
738#388C2×D511yescharacteristic, complemented
739#387—51no—
740#387—51no—
741#387—51no—
742#387—51no—
743#387—51no—
744#387—51no—
745#387—51no—
746#387C2×D511yescharacteristic, complemented
747#386—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#386—51no—
759#386—51no—
760#386—51no—
761#386—51no—
762#386C2×D511yescharacteristic
763#386C2×D511yescharacteristic, complemented
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#385C2×D511yescharacteristic
773#381—51no—
774#381—51no—
775#380—51no—
776#380—51no—
777#379—51no—
778C4×C4⋊C4—51no—
779C4×C4⋊C4—51no—
780C4×C4⋊C4—51no—
781C4×C4⋊C4—51no—
782C4×C22⋊C4—51no—
783C4×C22⋊C4—51no—
784C4×C22⋊C4—51no—
785C4×C22⋊C4—51no—
786C4×C22⋊C4—51no—
787C4×C22⋊C4—51no—
788C4×C22⋊C4—51no—
789C4×C22⋊C4—51no—
790C4×C22⋊C4—51no—
791C4×C22⋊C4—51no—
792C4×C22⋊C4—51no—
793C4×C22⋊C4—51no—
794C4×C22⋊C4—51no—
795C4×C22⋊C4—51no—
796C4×C22⋊C4—51no—
797C4×C22⋊C4C2×D511yescharacteristic
798#376—51no—
799C2×#95—51no—
800C2×#95—51no—
801C23×C5—21no—
802C23×C5—21no—
803C23×C5—21no—
804C23×C5—21no—
805C23×C5—21no—
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×C5C22×D412yes—
821C23×C5C2×#4112yes—
822C23×C5C2511yescharacteristic
823C22×D5—21no—
824C22×D5—21no—
825C22×D5—21no—
826C22×D5—21no—
827C22×D5—28no—
828C22×D5—21no—
829C22×D5—21no—
830C22×D5—21no—
831C22×D5—21no—
832C22×D5—21no—
833C22×D5—21no—
834C22×D5—21no—
835C22×D5—21no—
836C22×D5—21no—
837C22×D5—21no—
838C22×D5—21no—
839C22×D5—21no—
840C22×D5—44no—
841C22×D5—44no—
842C22×D5—44no—
843C22×D5—44no—
844C22×D5—44no—
845C22×D5—44no—
846C22×D5C22×D412yes—
847C22×D5C2×#4112yes—
848C22×D5C2×#4112yes—
849C22×D5C2×#4112yes—
850C22×D5C2×#4112yes—
851C5×D4—44no—
852C5×D4—44no—
853C5×D4—44no—
854C2×C4×C5—28no—
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—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—44no—
887C2×C4×C5C22×D412yes—
888C2×C4×C5C22×D412yes—
889C2×C4×C5C2×#4112yes—
890C2×C4×C5C2×#4112yes—
891C2×C4×C5C2×#4112yes—
892C22⋊D5—28no—
893C22⋊D5—28no—
894C22⋊D5—44no—
895C22⋊D5—44no—
896C22⋊D5—44no—
897C22⋊D5—44no—
898C22⋊D5—44no—
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—28no—
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—44no—
932C2×Dic5—44no—
933C2×Dic5—44no—
934C2×Dic5C22×D412yes—
935C2×Dic5C22×D412yes—
936C2×Dic5C22×D412yes—
937C2×Dic5C2×#4112yes—
938C2×Dic5C2×#4112yes—
939C2×Dic5C2×#4112yes—
940C2×Dic5C2×#4112yes—
941C2×Dic5H(5,𝔽2)12yes—
942D20—28no—
943D20—44no—
944C4×D5—28no—
945C4×D5—28no—
946C4×D5—28no—
947C4×D5—28no—
948C4×D5—44no—
949C4×D5—44no—
950C4×D5—44no—
951C4×D5—44no—
952C4×D5—44no—
953C4×D5—44no—
954C4×D5—44no—
955Dic10—28no—
956Dic10—44no—
957C25—51no—
958C2×#41—104no—
959C2×#41—104no—
960C2×#41—104no—
961C2×#41—104no—
962C2×#41—104no—
963C2×#41—202no—
964C22×Q8—51no—
965C22×Q8—51no—
966C22×D4—51no—
967C22×D4—51no—
968C22×D4—51no—
969C22×D4—51no—
970C22×D4—51no—
971C22×D4—51no—
972C22×D4—51no—
973C22×D4—51no—
974C22×D4—51no—
975C22×D4C22×D511yescharacteristic
976C22×D4C22×D511yescharacteristic
977C22×D4C22×D511yescharacteristic
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—51no—
992C23×C4—51no—
993C23×C4—104no—
994C23×C4—104no—
995C23×C4—202no—
996C23×C4C22×D511yescharacteristic
997C23×C4C22×D511yescharacteristic
998#123—104no—
999#123—104no—
1000#123—104no—
1001#123—104no—
1002C22⋊Q8—104no—
1003C22⋊Q8—104no—
1004#121—24no—
1005#121—104no—
1006#121—104no—
1007#121—104no—
1008#120—104no—
1009#120—104no—
1010#120—104no—
1011C4×Q8—104no—
1012C4×Q8—104no—
1013C4×D4—58no—
1014C4×D4—104no—
1015C4×D4—104no—
1016C4×D4—104no—
1017C4×D4—104no—
1018C4×D4—104no—
1019C4×D4—104no—
1020C4×D4—104no—
1021C4×D4—104no—
1022C4×D4—104no—
1023C4×D4—202no—
1024C4×D4—202no—
1025#117—24no—
1026#117—104no—
1027#117—104no—
1028#117—104no—
1029#117—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⋊C4C22×D511yescharacteristic
1049C2×C4⋊C4C22×D511yescharacteristic
1050C2×C4⋊C4C22×D511yescharacteristic
1051C2×C4⋊C4C22×D511yescharacteristic
1052C2×C4⋊C4C22×D511yescharacteristic
1053C2×C4⋊C4C22×D511yescharacteristic
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—51no—
1066C2×C22⋊C4—51no—
1067C2×C22⋊C4—51no—
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—104no—
1088C2×C22⋊C4—104no—
1089C2×C22⋊C4C22×D511yescharacteristic
1090C2×C22⋊C4C22×D511yescharacteristic
1091C2×C22⋊C4C22×D511yescharacteristic
1092C2×C22⋊C4C22×D511yescharacteristic
1093C2×C22⋊C4C22×D511yescharacteristic
1094C2×C22⋊C4C22×D511yescharacteristic
1095C2×C22⋊C4C22×D511yescharacteristic
1096C2×C22⋊C4C22×D511yescharacteristic
1097C2×C22⋊C4C22×D511yescharacteristic
1098C2×C22⋊C4C22×D511yescharacteristic
1099C2×C22⋊C4C22×D511yescharacteristic
1100C2×C22⋊C4C22×D511yescharacteristic
1101C2×C22⋊C4C22×D511yescharacteristic
1102C2×C42—51no—
1103C2×C42—51no—
1104C2×C42—51no—
1105C2×C42—51no—
1106C2×C42—51no—
1107C2×C42—51no—
1108C2×C42—51no—
1109C2×C42—51no—
1110C2×C42—51no—
1111C2×C42—51no—
1112C2×C42—51no—
1113C2×C42—51no—
1114C2×C42—51no—
1115C2×C42—51no—
1116C2×C42—104no—
1117C2×C42—104no—
1118C2×C42—104no—
1119C2×C42—202no—
1120C2×C42C22×D511yescharacteristic
1121C2×C42C22×D511yescharacteristic
1122C2×C42C22×D511yescharacteristic
1123#95—51no—
1124#95—51no—
1125#95—51no—
1126#95—51no—
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#95C22×D511yescharacteristic
1152#95C22×D511yescharacteristic
1153#95C22×D511yescharacteristic
1154#95C22×D511yescharacteristic
1155#95C22×D511yescharacteristic
1156#95C22×D511yescharacteristic
1157#95C22×D511yescharacteristic
1158#95C22×D511yescharacteristic
1159C22×C5—22no—
1160C22×C5—22no—
1161C22×C5—22no—
1162C22×C5—22no—
1163C22×C5—22no—
1164C22×C5—22no—
1165C22×C5—41no—
1166C22×C5—41no—
1167C22×C5—41no—
1168C22×C5—41no—
1169C22×C5—41no—
1170C22×C5—41no—
1171C22×C5—41no—
1172C22×C5—41no—
1173C22×C5—41no—
1174C22×C5—41no—
1175C22×C5—41no—
1176C22×C5—41no—
1177C22×C5—41no—
1178C22×C5—41no—
1179C22×C5—41no—
1180C22×C5C23×D411yescharacteristic
1181C22×C5C22×#4111yescharacteristic
1182C22×C5C22×#4111yescharacteristic
1183C22×C5C22×#4111yescharacteristic
1184C22×C5C22×#4111yescharacteristic
1185C22×C5C2×H(5,𝔽2)11yescharacteristic
1186C22×C5#58511yescharacteristic
1187C2×D5—22no—
1188C2×D5—22no—
1189C2×D5—22no—
1190C2×D5—22no—
1191C2×D5—22no—
1192C2×D5—22no—
1193C2×D5—22no—
1194C2×D5—22no—
1195C2×D5—22no—
1196C2×D5—22no—
1197C2×D5—22no—
1198C2×D5—22no—
1199C2×D5—416no—
1200C2×D5—41no—
1201C2×D5—41no—
1202C2×D5—41no—
1203C2×D5—41no—
1204C2×D5—41no—
1205C2×D5—41no—
1206C2×D5—41no—
1207C2×D5—41no—
1208C2×D5#52514yes—
1209C4×C5—22no—
1210C4×C5—22no—
1211C4×C5—22no—
1212C4×C5—22no—
1213C4×C5—22no—
1214C4×C5—41no—
1215C4×C5—41no—
1216C4×C5—41no—
1217C4×C5—41no—
1218C4×C5—41no—
1219C4×C5—41no—
1220C4×C5—41no—
1221Dic5—22no—
1222Dic5—22no—
1223Dic5—22no—
1224Dic5—22no—
1225Dic5—22no—
1226Dic5—41no—
1227Dic5—41no—
1228Dic5—41no—
1229Dic5—41no—
1230Dic5—41no—
1231Dic5—41no—
1232Dic5—41no—
1233Dic5#54614yes—
1234C24—51no—
1235C24—51no—
1236C24—51no—
1237C24—102no—
1238C24—102no—
1239C24—102no—
1240C24—102no—
1241C24—102no—
1242C24—201no—
1243C24—201no—
1244C24C23×D511yescharacteristic
1245C24C23×D511yescharacteristic
1246C24C23×D511yescharacteristic
1247#41—1032no—
1248#41—2016no—
1249C2×Q8—102no—
1250C2×Q8—102no—
1251C2×Q8—102no—
1252C2×Q8—102no—
1253C2×Q8—102no—
1254C2×Q8—201no—
1255C2×D4—22no—
1256C2×D4—22no—
1257C2×D4—22no—
1258C2×D4—22no—
1259C2×D4—22no—
1260C2×D4—22no—
1261C2×D4—41no—
1262C2×D4—41no—
1263C2×D4—41no—
1264C2×D4—54no—
1265C2×D4—54no—
1266C2×D4—102no—
1267C2×D4—102no—
1268C2×D4—102no—
1269C2×D4—102no—
1270C2×D4—102no—
1271C2×D4—102no—
1272C2×D4—102no—
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—102no—
1282C2×D4—102no—
1283C2×D4—102no—
1284C2×D4—102no—
1285C2×D4—102no—
1286C2×D4—201no—
1287C2×D4—201no—
1288C2×D4—201no—
1289C2×D4—201no—
1290C2×D4—201no—
1291C22×C4—22no—
1292C22×C4—22no—
1293C22×C4—22no—
1294C22×C4—22no—
1295C22×C4—22no—
1296C22×C4—41no—
1297C22×C4—51no—
1298C22×C4—54no—
1299C22×C4—51no—
1300C22×C4—51no—
1301C22×C4—51no—
1302C22×C4—51no—
1303C22×C4—51no—
1304C22×C4—54no—
1305C22×C4—54no—
1306C22×C4—54no—
1307C22×C4—51no—
1308C22×C4—51no—
1309C22×C4—51no—
1310C22×C4—51no—
1311C22×C4—51no—
1312C22×C4—51no—
1313C22×C4—51no—
1314C22×C4—102no—
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—102no—
1340C22×C4—102no—
1341C22×C4—102no—
1342C22×C4—102no—
1343C22×C4—102no—
1344C22×C4—102no—
1345C22×C4—102no—
1346C22×C4—102no—
1347C22×C4—201no—
1348C22×C4—201no—
1349C22×C4—201no—
1350C22×C4—201no—
1351C22×C4—201no—
1352C22×C4—201no—
1353C22×C4—201no—
1354C22×C4—2016no—
1355C22×C4—201no—
1356C22×C4C23×D511yescharacteristic
1357C22×C4C23×D511yescharacteristic
1358C22×C4C23×D511yescharacteristic
1359C22×C4C23×D511yescharacteristic
1360C22×C4C23×D511yescharacteristic
1361C22×C4C23×D511yescharacteristic
1362C22×C4C23×D511yescharacteristic
1363C22×C4C23×D511yescharacteristic
1364C22×C4C23×D511yescharacteristic
1365C22×C4C23×D511yescharacteristic
1366C22×C4C23×D511yescharacteristic
1367C22×C4C23×D511yescharacteristic
1368C4⋊C4—22no—
1369C4⋊C4—22no—
1370C4⋊C4—22no—
1371C4⋊C4—22no—
1372C4⋊C4—41no—
1373C4⋊C4—41no—
1374C4⋊C4—54no—
1375C4⋊C4—102no—
1376C4⋊C4—102no—
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—201no—
1389C4⋊C4—201no—
1390C4⋊C4—201no—
1391C4⋊C4—201no—
1392C22⋊C4—22no—
1393C22⋊C4—22no—
1394C22⋊C4—22no—
1395C22⋊C4—22no—
1396C22⋊C4—22no—
1397C22⋊C4—22no—
1398C22⋊C4—22no—
1399C22⋊C4—41no—
1400C22⋊C4—41no—
1401C22⋊C4—41no—
1402C22⋊C4—41no—
1403C22⋊C4—41no—
1404C22⋊C4—54no—
1405C22⋊C4—54no—
1406C22⋊C4—102no—
1407C22⋊C4—102no—
1408C22⋊C4—102no—
1409C22⋊C4—102no—
1410C22⋊C4—102no—
1411C22⋊C4—102no—
1412C22⋊C4—102no—
1413C22⋊C4—102no—
1414C22⋊C4—102no—
1415C22⋊C4—102no—
1416C22⋊C4—102no—
1417C22⋊C4—102no—
1418C22⋊C4—102no—
1419C22⋊C4—102no—
1420C22⋊C4—102no—
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—201no—
1432C22⋊C4—201no—
1433C22⋊C4—201no—
1434C22⋊C4—201no—
1435C22⋊C4—201no—
1436C22⋊C4—201no—
1437C22⋊C4D4×D514yes—
1438C42—22no—
1439C42—22no—
1440C42—41no—
1441C42—54no—
1442C42—102no—
1443C42—102no—
1444C42—102no—
1445C42—102no—
1446C42—102no—
1447C42—102no—
1448C42—102no—
1449C42—102no—
1450C42—102no—
1451C42—102no—
1452C42—102no—
1453C42—102no—
1454C42—201no—
1455C2×C5—42no—
1456C2×C5—42no—
1457C2×C5—81no—
1458C2×C5C2×#52511yescharacteristic
1459C2×C5#344411yescharacteristic
1460C2×C5#346011yescharacteristic
1461C2×C5C2×#54611yescharacteristic
1462C2×C5D4×#4111yescharacteristic
1463C2×C5#347511yescharacteristic
1464C2×C5#348111yescharacteristic
1465D5—24no—
1466D5—42no—
1467D5—42no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—52no—
1488C23—52no—
1489C23—52no—
1490C23—52no—
1491C23—52no—
1492C23—108no—
1493C23—101no—
1494C23—101no—
1495C23—101no—
1496C23—101no—
1497C23—101no—
1498C23—101no—
1499C23—101no—
1500C23—101no—
1501C23—101no—
1502C23—101no—
1503C23—101no—
1504C23—101no—
1505C23—101no—
1506C23—101no—
1507C23—101no—
1508C23—101no—
1509C23—204no—
1510C23—204no—
1511C23—204no—
1512C23—204no—
1513C23—204no—
1514C23—204no—
1515C23C2×D4×D512yes—
1516C23D5×#4112yes—
1517C23C24×D511yescharacteristic
1518Q8—108no—
1519Q8—204no—
1520D4—44no—
1521D4—44no—
1522D4—44no—
1523D4—108no—
1524D4—108no—
1525D4—108no—
1526D4—204no—
1527D4—204no—
1528D4—204no—
1529D4—204no—
1530D4—204no—
1531D4—204no—
1532C2×C4—28no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
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—44no—
1565C2×C4—52no—
1566C2×C4—52no—
1567C2×C4—52no—
1568C2×C4—52no—
1569C2×C4—52no—
1570C2×C4—52no—
1571C2×C4—52no—
1572C2×C4—52no—
1573C2×C4—108no—
1574C2×C4—108no—
1575C2×C4—108no—
1576C2×C4—108no—
1577C2×C4—108no—
1578C2×C4—101no—
1579C2×C4—101no—
1580C2×C4—101no—
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—204no—
1610C2×C4—204no—
1611C2×C4—204no—
1612C2×C4—204no—
1613C2×C4—204no—
1614C2×C4—204no—
1615C2×C4—204no—
1616C2×C4—204no—
1617C2×C4—204no—
1618C2×C4—204no—
1619C2×C4C2×D4×D512yes—
1620C2×C4C2×D4×D512yes—
1621C2×C4D5×#4112yes—
1622C2×C4D5×#4112yes—
1623C2×C4D5×#4112yes—
1624C5#3473211yescharacteristic, complemented, Sylow
1625C22—22no—
1626C22—22no—
1627C22—22no—
1628C22—22no—
1629C22—22no—
1630C22—22no—
1631C22—41no—
1632C22—41no—
1633C22—41no—
1634C22—41no—
1635C22—41no—
1636C22—41no—
1637C22—41no—
1638C22—41no—
1639C22—41no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—54no—
1647C22—102no—
1648C22—102no—
1649C22—102no—
1650C22—102no—
1651C22—102no—
1652C22—102no—
1653C22—102no—
1654C22—102no—
1655C22—102no—
1656C22—102no—
1657C22—102no—
1658C22—102no—
1659C22—2016no—
1660C22—201no—
1661C22—201no—
1662C22—201no—
1663C22—201no—
1664C22—201no—
1665C22—201no—
1666C22—201no—
1667C22—201no—
1668C22C22×D4×D511yescharacteristic
1669C22C2×D5×#4111yescharacteristic
1670C22C2×D5×#4111yescharacteristic
1671C22C2×D5×#4111yescharacteristic
1672C22C2×D5×#4111yescharacteristic
1673C22D5×H(5,𝔽2)11yescharacteristic
1674C22#6628511yescharacteristic
1675C4—22no—
1676C4—22no—
1677C4—22no—
1678C4—22no—
1679C4—22no—
1680C4—41no—
1681C4—41no—
1682C4—41no—
1683C4—41no—
1684C4—41no—
1685C4—41no—
1686C4—41no—
1687C4—54no—
1688C4—102no—
1689C4—102no—
1690C4—102no—
1691C4—102no—
1692C4—102no—
1693C4—201no—
1694C4—201no—
1695C4—201no—
1696C4—201no—
1697C4—201no—
1698C4—201no—
1699C4—201no—
1700C2—42no—
1701C2—42no—
1702C2—81no—
1703C2—104no—
1704C2—202no—
1705C2—202no—
1706C2D5×#52511yescharacteristic
1707C2#1061802011yescharacteristic
1708C2#1061836911yescharacteristic
1709C2#1061852711yescharacteristic
1710C2D5×#54611yescharacteristic
1711C2#1061877711yescharacteristic
1712C2#1061885911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D5
commutator, socle, cosocleC23×C5C25
FittingC5×#2476C2
hypercenter#2476D5
hypocenterC5#34732
LCSG ▷ C23×C5 ▷ C5
UCSC1 ◁ C23 ◁ #2476

Complements

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

NH ≅ G/Ntype
1. C2×#65940C2semidirect
2. C2×#65856C2semidirect
3. C5×#2476C2semidirect
4. #10614389C2semidirect
5. #10614009C2semidirect
6. #10609684C2semidirect
7. #10609470C2semidirect
8. #10608849C2semidirect
9. #10608844C2semidirect
10. #10608842C2semidirect
11. #10608624C2semidirect
12. #10608621C2semidirect
13. #10608620C2semidirect
14. #10608168C2semidirect
15. #10608022C2semidirect
16. #10607592C2semidirect
17. #10607585C2semidirect
18. #10607582C2semidirect
19. #10607184C2semidirect
20. #10607183C2semidirect
21. #10607180C2semidirect
22. #10607048C2semidirect
23. #10606668C2semidirect
24. #10606627C2semidirect
25. #10606617C2semidirect
26. #10606392C2semidirect
27. #10606389C2semidirect
28. #10606164C2semidirect
29. #10606110C2semidirect
30. C4×D5×C22⋊C4C2semidirect
31. #10605233C2semidirect
36. C2×C5×#117C22semidirect
45. C22×C4×Dic5C22semidirect
53. C2×#4033C22semidirect
54. C2×#4033C22semidirect
64. C2×#4027C22semidirect
65. C2×#4027C22semidirect
66. C2×#4027C22semidirect
69. C2×#4023C22semidirect
71. C2×#4018C22semidirect
74. C2×C42×D5C22semidirect
75. C5×#398C22semidirect
78. C5×#394C22semidirect
80. C5×#388C22semidirect
81. C5×#388C22semidirect
82. C5×#388C22semidirect
83. C5×#387C22semidirect
85. C5×#386C22semidirect
89. #65512C22semidirect
91. #65509C22semidirect
94. #65499C22semidirect
98. #65283C22semidirect
104. #65278C22semidirect
105. #65276C22semidirect
106. #65275C22semidirect
107. #65273C22semidirect
108. #65270C22semidirect
109. #65268C22semidirect
110. C4⋊C4×Dic5C22semidirect
111. C4⋊C4×Dic5C22semidirect
112. #65261C22semidirect
113. #65250C22semidirect
122. #65246C22semidirect
128. #65245C22semidirect
131. #65241C22semidirect
132. #65241C22semidirect
133. #65240C22semidirect
136. #65236C22semidirect
140. #65234C22semidirect
141. #65233C22semidirect
142. #65232C22semidirect
146. C22⋊C4×Dic5C22semidirect
147. C22⋊C4×Dic5C22semidirect
148. C22⋊C4×Dic5C22semidirect
149. C22⋊C4×Dic5C22semidirect
151. #65229C22semidirect
154. #65222C22semidirect
155. #65222C22semidirect
156. #65217C22semidirect
158. #64962C22semidirect
161. #64957C22semidirect
167. #64955C22semidirect
176. #64949C22semidirect
177. #64948C22semidirect
178. #64946C22semidirect
179. #64945C22semidirect
180. #64944C22semidirect
181. #64944C22semidirect
182. #64942C22semidirect
183. #64941C22semidirect
184. #64938C22semidirect
185. #64938C22semidirect
186. #64937C22semidirect
187. #64935C22semidirect
188. #64935C22semidirect
347. #4027D4semidirect
395. #2476D5semidirect
516. C2×D20#41semidirect
549. C2×C4×D5#41semidirect
550. C2×C4×D5#41semidirect
590. C22⋊Dic5#41semidirect
680. C2×#117C2×D5semidirect
693. #398C2×D5semidirect
710. #394C2×D5semidirect
736. #388C2×D5semidirect
737. #388C2×D5semidirect
738. #388C2×D5semidirect
746. #387C2×D5semidirect
763. #386C2×D5semidirect
1624. C5#34732semidirect

Maximal subgroups

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

subgroupindex
C2×#659402
C2×#658562
C5×#24762
#106143892
#106140092
#106096842
#106094702
#106088492
#106088442
#106088422
#106086242
#106086212
#106086202
#106081682
#106080222
#106075922
#106075852
#106075822
#106071842
#106071832
#106071802
#106070482
#106066682
#106066272
#106066172
#106063922
#106063892
#106061642
#106061102
C4×D5×C22⋊C42
#106052332
#347325