Finite Group Databasebeta

← #12985860

Subgroups — #12985860

Order 1280.

2100 conjugacy classes of subgroups.

The subgroup lattice has 1902 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C5×#3488C211yesmaximal, characteristic, complemented
2#10617957C211yesmaximal, characteristic, complemented
3#10615836C211yesmaximal, characteristic, complemented
4#10615833C211yesmaximal, characteristic, complemented
5#10615815C211yesmaximal, characteristic, complemented
6#10615812C211yesmaximal, characteristic, complemented
7#10615315C211yesmaximal, characteristic, complemented
8#10615314C211yesmaximal, characteristic, complemented
9#10615306C211yesmaximal, characteristic, complemented
10#10615303C211yesmaximal, characteristic, complemented
11#10615279C211yesmaximal, characteristic, complemented
12#10615274C211yesmaximal, characteristic, complemented
13#10615272C211yesmaximal, characteristic, complemented
14#10615268C211yesmaximal, characteristic, complemented
15#10615239C211yesmaximal, characteristic, complemented
16#10615237C211yesmaximal, characteristic, complemented
17#10615231C211yesmaximal, characteristic, complemented
18#10615229C211yesmaximal, characteristic, complemented
19#10615222C211yesmaximal, characteristic, complemented
20#10615220C211yesmaximal, characteristic, complemented
21#10615217C211yesmaximal, characteristic, complemented
22#10615215C211yesmaximal, characteristic, complemented
23#10615159C211yesmaximal, characteristic, complemented
24#10615157C211yesmaximal, characteristic, complemented
25#10615124C211yesmaximal, characteristic, complemented
26#10615120C211yesmaximal, characteristic, complemented
27#10614652C211yesmaximal, characteristic, complemented
28#10614362C211yesmaximal, characteristic, complemented
29#10614359C211yesmaximal, characteristic, complemented
30#10614306C211yesmaximal, characteristic, complemented
31#10614300C211yesmaximal, characteristic, complemented
32C2×C5×H(5,𝔽2)C2211yescharacteristic
33C22×C5×#41C2211yescharacteristic
34C5×#550C2211yescharacteristic
35C5×#550C2211yescharacteristic
36C5×#548C2211yescharacteristic
37C5×#548C2211yescharacteristic
38C5×#546—21no—
39C5×#546—21no—
40C5×#546C2211yescharacteristic
41C5×#546C2211yescharacteristic
42C5×D42—21no—
43C5×D42—21no—
44C5×D42C2211yescharacteristic
45C5×D42C2211yescharacteristic
46C5×#537—21no—
47C5×#537C2211yescharacteristic
48C5×#535—21no—
49C5×#535C2211yescharacteristic
50C5×#525—21no—
51C5×#525C2211yescharacteristic
52C2×C5×#121—21no—
53C2×C5×#121C2211yescharacteristic
54C5×#520C2211yescharacteristic
55#66167C2211yescharacteristic, complemented
56#66159C2211yescharacteristic, complemented
57C2×#4097C2211yescharacteristic, complemented
58C2×#4097C2211yescharacteristic, complemented
59C2×#4097C2211yescharacteristic, complemented
60C2×#4096C2211yescharacteristic, complemented
61C2×#4088C2211yescharacteristic, complemented
62C22×#687C2211yescharacteristic, complemented
63C2×#4078C2211yescharacteristic, complemented
64C2×#4078C2211yescharacteristic, complemented
65#66125C2211yescharacteristic, complemented
66C2×#4070C2211yescharacteristic, complemented
67#65996—21no—
68#65994—21no—
69#65980—21no—
70#65970—21no—
71#65955—21no—
72#65935—21no—
73#65927—21no—
74#65927—21no—
75#65899C2211yescharacteristic, complemented
76#65886C2211yescharacteristic, complemented
77#65886C2211yescharacteristic, complemented
78#65885C2211yescharacteristic, complemented
79#65877C2211yescharacteristic, complemented
80#65876C2211yescharacteristic, complemented
81#65875C2211yescharacteristic, complemented
82D4×Dic10C2211yescharacteristic, complemented
83#65868C2211yescharacteristic, complemented
84#65852C2211yescharacteristic, complemented
85#65528C2211yescharacteristic
86#65528C2211yescharacteristic
87#65528C2211yescharacteristic
88#65528C2211yescharacteristic, complemented
89#65528C2211yescharacteristic, complemented
90#65528C2211yescharacteristic, complemented
91#65528C2211yescharacteristic, complemented
92#65528C2211yescharacteristic, complemented
93#65528C2211yescharacteristic, complemented
94#65528C2211yescharacteristic, complemented
95#65528C2211yescharacteristic, complemented
96#65527C2211yescharacteristic
97#65527C2211yescharacteristic, complemented
98#65527C2211yescharacteristic, complemented
99#65527C2211yescharacteristic, complemented
100#65527C2211yescharacteristic, complemented
101#65523C2211yescharacteristic, complemented
102#65523C2211yescharacteristic, complemented
103#65522C2211yescharacteristic, complemented
104#65521C2211yescharacteristic, complemented
105#65521C2211yescharacteristic, complemented
106#65521C2211yescharacteristic, complemented
107#65517C2211yescharacteristic, complemented
108#65517C2211yescharacteristic, complemented
109#65514C2211yescharacteristic, complemented
110#65507C2211yescharacteristic, complemented
111#65507C2211yescharacteristic, complemented
112#65507C2211yescharacteristic, complemented
113#65507C2211yescharacteristic, complemented
114#65507C2211yescharacteristic, complemented
115#65507C2211yescharacteristic, complemented
116#65507C2211yescharacteristic, complemented
117#65507C2211yescharacteristic, complemented
118#65506C2211yescharacteristic, complemented
119#65506C2211yescharacteristic, complemented
120#65504C2211yescharacteristic, complemented
121#65504C2211yescharacteristic, complemented
122C2×#3964C2211yescharacteristic, complemented
123#65496C2211yescharacteristic, complemented
124#65496C2211yescharacteristic, complemented
125#65365C2211yescharacteristic, complemented
126#65364C2211yescharacteristic, complemented
127#65364C2211yescharacteristic, complemented
128#65364C2211yescharacteristic, complemented
129#65363C2211yescharacteristic, complemented
130#65361C2211yescharacteristic, complemented
131#65360C2211yescharacteristic, complemented
132#65359C2211yescharacteristic, complemented
133#65349C2211yescharacteristic, complemented
134#65348C2211yescharacteristic, complemented
135#65346C2211yescharacteristic, complemented
136#65345C2211yescharacteristic, complemented
137#65344C2211yescharacteristic, complemented
138#65343C2211yescharacteristic, complemented
139#65343C2211yescharacteristic, complemented
140#65343C2211yescharacteristic, complemented
141#65341C2211yescharacteristic, complemented
142#65340C2211yescharacteristic, complemented
143#65340C2211yescharacteristic, complemented
144#65339C2211yescharacteristic, complemented
145#65338C2211yescharacteristic, complemented
146#65336C2211yescharacteristic, complemented
147#65334C2211yescharacteristic, complemented
148#65333C2211yescharacteristic, complemented
149#65331C2211yescharacteristic, complemented
150#65331C2211yescharacteristic, complemented
151#65331C2211yescharacteristic, complemented
152#65331C2211yescharacteristic, complemented
153#65331C2211yescharacteristic, complemented
154#65331C2211yescharacteristic, complemented
155#65331C2211yescharacteristic, complemented
156#65331C2211yescharacteristic, complemented
157#65330C2211yescharacteristic, complemented
158#65329C2211yescharacteristic, complemented
159#65329C2211yescharacteristic, complemented
160#65329C2211yescharacteristic, complemented
161#65328C2211yescharacteristic, complemented
162#65328C2211yescharacteristic, complemented
163#65327C2211yescharacteristic, complemented
164#65326C2211yescharacteristic, complemented
165#65326C2211yescharacteristic, complemented
166#65326C2211yescharacteristic, complemented
167#65324C2211yescharacteristic, complemented
168#65324C2211yescharacteristic, complemented
169#65324C2211yescharacteristic, complemented
170#65322C2211yescharacteristic, complemented
171#65322C2211yescharacteristic, complemented
172#65322C2211yescharacteristic, complemented
173#65320C2211yescharacteristic, complemented
174#65319C2211yescharacteristic, complemented
175C4×#689C2211yescharacteristic, complemented
176C4×#689C2211yescharacteristic, complemented
177#65317C2211yescharacteristic, complemented
178#65315C2211yescharacteristic, complemented
179#65311C2211yescharacteristic, complemented
180#65310C2211yescharacteristic, complemented
181#65308C2211yescharacteristic, complemented
182#65307C2211yescharacteristic, complemented
183#65307C2211yescharacteristic, complemented
184C4×#687C2211yescharacteristic, complemented
185#65305C2211yescharacteristic, complemented
186C4×#686C2211yescharacteristic, complemented
187#65301C2211yescharacteristic, complemented
188#65301C2211yescharacteristic, complemented
189#65301C2211yescharacteristic, complemented
190#65301C2211yescharacteristic, complemented
191#65300C2211yescharacteristic, complemented
192#65300C2211yescharacteristic, complemented
193#65300C2211yescharacteristic, complemented
194#65300C2211yescharacteristic, complemented
195#65298C2211yescharacteristic, complemented
196#65296C2211yescharacteristic, complemented
197#65289C2211yescharacteristic, complemented
198#65289C2211yescharacteristic, complemented
199#65260C2211yescharacteristic, complemented
200#65259C2211yescharacteristic, complemented
201#65259C2211yescharacteristic, complemented
202#65256C2211yescharacteristic, complemented
203#61654—51nomaximal, Sylow
204C5×H(5,𝔽2)—42no—
205C5×H(5,𝔽2)—42no—
206C2×C5×#41—21no—
207C2×C5×#41—21no—
208C2×C5×#41—21no—
209C2×C5×#41—42no—
210C2×C5×#41—42no—
211C2×C5×#41C2311yescharacteristic
212C2×C5×#41C2311yescharacteristic
213C2×C5×#41C2311yescharacteristic
214C2×C5×#41C2311yescharacteristic
215C2×C5×#41C2311yescharacteristic
216C2×C5×#41C2311yescharacteristic
217C2×C5×#41C2311yescharacteristic
218C22×C5×Q8C2311yescharacteristic
219C22×C5×D4—21no—
220C22×C5×D4—21no—
221C22×C5×D4—21no—
222C22×C5×D4—21no—
223C22×C5×D4—21no—
224C22×C5×D4—21no—
225C22×C5×D4—21no—
226C22×C5×D4C2311yescharacteristic
227C22×C5×D4C2311yescharacteristic
228C22×C5×D4C2311yescharacteristic
229C22×C5×D4C2311yescharacteristic
230C23×C4×C5—21no—
231C23×C4×C5C2311yescharacteristic
232C2×#709C2311yescharacteristic
233C2×#709C2311yescharacteristic
234C22×Dic10C2311yescharacteristic
235C22×Dic10C2311yescharacteristic
236C5×#127—21no—
237C5×#127—21no—
238C5×#127C2311yescharacteristic
239C5×#127C2311yescharacteristic
240C5×#124—21no—
241C5×#124—21no—
242C5×#124C2311yescharacteristic
243C5×#124C2311yescharacteristic
244C5×#123—21no—
245C5×#123—21no—
246C5×#123D411yescharacteristic
247C5×#123D411yescharacteristic
248C5×C22⋊Q8—21no—
249C5×C22⋊Q8—21no—
250C5×C22⋊Q8—21no—
251C5×C22⋊Q8D411yescharacteristic
252C5×C22⋊Q8D411yescharacteristic
253C5×C22⋊Q8C2311yescharacteristic
254C5×C22⋊Q8C2311yescharacteristic
255C5×#121—21no—
256C5×#121—21no—
257C5×#121—21no—
258C5×#121—21no—
259C5×#121—21no—
260C5×#121—21no—
261C5×#121—21no—
262C5×#121—21no—
263C5×#121—21no—
264C5×#121—21no—
265C5×#121—21no—
266C5×#121—21no—
267C5×#121—21no—
268C5×#121—21no—
269C5×#121—21no—
270C5×#121—21no—
271C5×#121—21no—
272C5×#121D411yescharacteristic
273C5×#121D411yescharacteristic
274C5×#121C2311yescharacteristic
275C5×#121C2311yescharacteristic
276C5×#121C2311yescharacteristic
277C5×#121C2311yescharacteristic
278C5×#121C2311yescharacteristic
279C5×#121C2311yescharacteristic
280C5×#120—21no—
281C5×#120—21no—
282C5×#120—21no—
283C5×#120—21no—
284C5×#120—21no—
285C5×#120—21no—
286C5×#120—21no—
287C5×#120—21no—
288C5×#120D411yescharacteristic
289C5×#120D411yescharacteristic
290C4×C5×Q8C2311yescharacteristic
291C4×C5×Q8C2311yescharacteristic
292C4×C5×D4—21no—
293C4×C5×D4—21no—
294C4×C5×D4—21no—
295C4×C5×D4—21no—
296C4×C5×D4—21no—
297C4×C5×D4—21no—
298C4×C5×D4C2311yescharacteristic
299C4×C5×D4C2311yescharacteristic
300C4×C5×D4C2311yescharacteristic
301C4×C5×D4C2311yescharacteristic
302C4×C5×D4C2311yescharacteristic
303C4×C5×D4C2311yescharacteristic
304C5×#117—21no—
305C5×#117C2311yescharacteristic
306C2×C5×C4⋊C4—21no—
307C2×C5×C4⋊C4C2311yescharacteristic
308C2×C5×C22⋊C4—21no—
309C2×C5×C22⋊C4—21no—
310C2×C5×C22⋊C4—21no—
311#4099—21no—
312C2×C22⋊Dic5—21no—
313#4097—42no—
314#4097—42no—
315#4097—42no—
316#4096—42no—
317#4092—21no—
318#4090—21no—
319C2×#689C2311yescharacteristic
320C2×#689C2311yescharacteristic
321C2×#689C2311yescharacteristic
322C2×#689C2311yescharacteristic
323C2×#689C2311yescharacteristic
324C2×#689C2311yescharacteristic
325#4088—42no—
326C2×#688C2311yescharacteristic
327C2×#688C2311yescharacteristic
328#4085—21no—
329#4085—21no—
330#4085—21no—
331#4085—21no—
332#4085—21no—
333#4084—21no—
334#4084—21no—
335#4082—21no—
336#4082—21no—
337#4081—21no—
338#4081—21no—
339#4081—21no—
340D4×Dic5—21no—
341D4×Dic5—21no—
342C2×#687—42no—
343C2×#687C2311yescharacteristic
344C2×#687C2311yescharacteristic
345C2×#687C2311yescharacteristic
346C2×#687C2311yescharacteristic
347C2×#687C2311yescharacteristic
348C2×#687C2311yescharacteristic
349C2×#687C2311yescharacteristic
350C2×#687C2311yescharacteristic
351C2×#687C2311yescharacteristic
352C2×#687C2311yescharacteristic
353C2×#687C2311yescharacteristic
354C2×#687C2311yescharacteristic
355#4078—42no—
356#4078—42no—
357C2×#686C2311yescharacteristic
358C2×#686C2311yescharacteristic
359C2×#686C2311yescharacteristic
360C2×#686C2311yescharacteristic
361#4076C2311yescharacteristic
362#4076C2311yescharacteristic
363#4076C2311yescharacteristic
364#4075—21no—
365C4×C22⋊D5—21no—
366C4×C22⋊D5—21no—
367#4072C2311yescharacteristic
368#4072C2311yescharacteristic
369C2×C4⋊Dic5C2311yescharacteristic
370C2×C4⋊Dic5C2311yescharacteristic
371#4070—21no—
372#4070—21no—
373#4070C2311yescharacteristic
374#4070C2311yescharacteristic
375#4070C2311yescharacteristic
376#4070C2311yescharacteristic
377#4070C2311yescharacteristic
378#4070C2311yescharacteristic
379#4070C2311yescharacteristic
380#4070C2311yescharacteristic
381#4070C2311yescharacteristic
382C2×#683—21no—
383C2×#681C2311yescharacteristic
384C2×#681C2311yescharacteristic
385C2×#681C2311yescharacteristic
386C2×#681C2311yescharacteristic
387C2×#681C2311yescharacteristic
388C2×#681C2311yescharacteristic
389C22×#168C2311yescharacteristic
390C22×#168C2311yescharacteristic
391#4044—21no—
392#4044—21no—
393#4042—21no—
394#4042—21no—
395#4042—21no—
396D5×C4⋊C4—21no—
397#4036—21no—
398#4035—21no—
399#4035—21no—
400#4035—21no—
401#4034—21no—
402#4033—21no—
403#4031—21no—
404#4031—21no—
405#4031—21no—
406#4029—21no—
407#4029—21no—
408#4029—21no—
409#4029—21no—
410#4027—21no—
411#4027—21no—
412#4027—21no—
413#4025—21no—
414#4025—21no—
415#4025—21no—
416#4025—21no—
417#4025—21no—
418#4024—21no—
419#4024—21no—
420#4024—21no—
421#4024—21no—
422#4023—21no—
423#4021C2311yescharacteristic
424C4×D20C2311yescharacteristic
425#4016C2311yescharacteristic
426#4015C2311yescharacteristic
427#4015C2311yescharacteristic
428C4×Dic10C2311yescharacteristic
429C4×Dic10C2311yescharacteristic
430C4×Dic10C2311yescharacteristic
431#3967C2311yescharacteristic
432#3967C2311yescharacteristic
433#3967C2311yescharacteristic
434#3967C2311yescharacteristic
435#3967C2311yescharacteristic
436#3967C2311yescharacteristic
437#3967C2311yescharacteristic
438#3967C2311yescharacteristic
439#3964C2311yescharacteristic
440#3964C2311yescharacteristic
441#3964C2311yescharacteristic
442#3964C2311yescharacteristic
443#3964C2311yescharacteristic
444#3964C2311yescharacteristic
445#3964C2311yescharacteristic
446#3964C2311yescharacteristic
447#3964C2311yescharacteristic
448#3964C2311yescharacteristic
449#3964C2311yescharacteristic
450#3964C2311yescharacteristic
451#3964C2311yescharacteristic
452#3964C2311yescharacteristic
453#3964C2311yescharacteristic
454#3964C2311yescharacteristic
455C22⋊#168C2311yescharacteristic
456C22⋊#168C2311yescharacteristic
457C22⋊#168C2311yescharacteristic
458C22⋊#168C2311yescharacteristic
459C22⋊#168C2311yescharacteristic
460C22⋊#168C2311yescharacteristic
461C22⋊#168C2311yescharacteristic
462C22⋊#168C2311yescharacteristic
463C22⋊#168C2311yescharacteristic
464C22⋊#168C2311yescharacteristic
465C22⋊#168C2311yescharacteristic
466C22⋊#168C2311yescharacteristic
467#3942C2311yescharacteristic
468#3942C2311yescharacteristic
469#3942C2311yescharacteristic
470#3942C2311yescharacteristic
471#3942C2311yescharacteristic
472#3942C2311yescharacteristic
473#3941C2311yescharacteristic
474#3941C2311yescharacteristic
475#3940C2311yescharacteristic
476#3940C2311yescharacteristic
477#3939C2311yescharacteristic
478#3939C2311yescharacteristic
479#3939C2311yescharacteristic
480#3939C2311yescharacteristic
481#3939C2311yescharacteristic
482#3939C2311yescharacteristic
483C4⋊#168C2311yescharacteristic
484C4⋊#168C2311yescharacteristic
485C4⋊#168C2311yescharacteristic
486C4⋊#168C2311yescharacteristic
487#3935C2311yescharacteristic
488#3935C2311yescharacteristic
489C4×#168C2311yescharacteristic
490C4×#168C2311yescharacteristic
491#3541—51no—
492#3488D511yescharacteristic, complemented
493#3333—51no—
494#3327—51no—
495#3324—51no—
496#3322—51no—
497#3314—51no—
498#3313—51no—
499#3310—51no—
500#3309—51no—
501#3278—51no—
502#3277—51no—
503#3275—51no—
504#3272—51no—
505#3271—51no—
506#3269—51no—
507#3266—51no—
508#3265—51no—
509#3224—51no—
510#3222—51no—
511#3203—51no—
512#3201—51no—
513#3194—51no—
514#3193—51no—
515#3124—51no—
516#3120—51no—
517#3012—51no—
518#3009—51no—
519#3007—51no—
520#3005—51no—
521#2978—51no—
522C24×C5—21no—
523C24×C5—21no—
524C24×C5—21no—
525C24×C5—21no—
526C24×C5C2×D411yescharacteristic
527C5×#41—22no—
528C5×#41—22no—
529C5×#41—22no—
530C5×#41—22no—
531C5×#41—22no—
532C5×#41—22no—
533C5×#41—41no—
534C5×#41—41no—
535C5×#41—41no—
536C5×#41—41no—
537C5×#41—41no—
538C5×#41—41no—
539C5×#41—41no—
540C5×#41—41no—
541C5×#41—44no—
542C5×#41—44no—
543C5×#41—44no—
544C2×C5×Q8—21no—
545C2×C5×Q8—22no—
546C2×C5×Q8—41no—
547C2×C5×Q8C2×D411yescharacteristic
548C2×C5×Q8C2411yescharacteristic
549C2×C5×Q8C2411yescharacteristic
550C2×C5×D4—21no—
551C2×C5×D4—22no—
552C2×C5×D4—22no—
553C2×C5×D4—22no—
554C2×C5×D4—21no—
555C2×C5×D4—21no—
556C2×C5×D4—21no—
557C2×C5×D4—21no—
558C2×C5×D4—21no—
559C2×C5×D4—21no—
560C2×C5×D4—21no—
561C2×C5×D4—21no—
562C2×C5×D4—21no—
563C2×C5×D4—21no—
564C2×C5×D4—21no—
565C2×C5×D4—21no—
566C2×C5×D4—21no—
567C2×C5×D4—21no—
568C2×C5×D4—21no—
569C2×C5×D4—21no—
570C2×C5×D4—21no—
571C2×C5×D4—21no—
572C2×C5×D4—21no—
573C2×C5×D4—41no—
574C2×C5×D4—41no—
575C2×C5×D4—41no—
576C2×C5×D4—41no—
577C2×C5×D4—41no—
578C2×C5×D4—44no—
579C2×C5×D4—44no—
580C2×C5×D4—44no—
581C2×C5×D4—44no—
582C2×C5×D4—82no—
583C2×C5×D4—82no—
584C2×C5×D4—82no—
585C2×C5×D4C2×D411yescharacteristic
586C2×C5×D4C2×D411yescharacteristic
587C2×C5×D4C2×D411yescharacteristic
588C2×C5×D4C2×D411yescharacteristic
589C2×C5×D4C2×D411yescharacteristic
590C2×C5×D4C2×D411yescharacteristic
591C2×C5×D4C2×D411yescharacteristic
592C2×C5×D4C2411yescharacteristic
593C2×C5×D4C2411yescharacteristic
594C2×C5×D4C2411yescharacteristic
595C2×C5×D4C2411yescharacteristic
596C22×C4×C5—21no—
597C22×C4×C5—21no—
598C22×C4×C5—21no—
599C22×C4×C5—21no—
600C22×C4×C5—21no—
601C22×C4×C5—21no—
602C22×C4×C5—21no—
603C22×C4×C5—21no—
604C22×C4×C5—21no—
605C22×C4×C5—21no—
606C22×C4×C5—41no—
607C22×C4×C5—41no—
608C22×C4×C5—44no—
609C22×C4×C5C2×D411yescharacteristic
610C22×C4×C5C2×D411yescharacteristic
611C22×C4×C5C2×D411yescharacteristic
612C22×C4×C5C2411yescharacteristic
613C22×C4×C5C2411yescharacteristic
614C22×C4×C5C2411yescharacteristic
615C22×C4×C5C2411yescharacteristic
616C22×C4×C5C2411yescharacteristic
617C2×C22⋊D5—21no—
618C2×C22⋊D5—21no—
619C2×C22⋊D5—21no—
620C2×C22⋊D5—21no—
621C2×C22⋊D5—21no—
622C22×Dic5—21no—
623C22×Dic5—21no—
624C22×Dic5—21no—
625C22×Dic5—21no—
626#709—41no—
627#709—41no—
628#709—41no—
629#709—41no—
630C2×D20C2411yescharacteristic
631C2×C4×D5—21no—
632C2×C4×D5—21no—
633C2×C4×D5—21no—
634C2×Dic10—21no—
635C2×Dic10—21no—
636C2×Dic10—21no—
637C2×Dic10—41no—
638C2×Dic10—41no—
639C2×Dic10—41no—
640C2×Dic10—41no—
641C2×Dic10C2411yescharacteristic
642C2×Dic10C2411yescharacteristic
643C2×Dic10C2411yescharacteristic
644C5×C4⋊C4—21no—
645C5×C4⋊C4—21no—
646C5×C4⋊C4—21no—
647C5×C4⋊C4—21no—
648C5×C4⋊C4—21no—
649C5×C4⋊C4C2×D411yescharacteristic
650C5×C4⋊C4C2×D411yescharacteristic
651C5×C4⋊C4C2×D411yescharacteristic
652C5×C4⋊C4C2×D411yescharacteristic
653C5×C4⋊C4C2×D411yescharacteristic
654C5×C4⋊C4C2×D411yescharacteristic
655C5×C4⋊C4C2411yescharacteristic
656C5×C4⋊C4C2411yescharacteristic
657C5×C22⋊C4—21no—
658C5×C22⋊C4—21no—
659C5×C22⋊C4—21no—
660C5×C22⋊C4—21no—
661C5×C22⋊C4—21no—
662C5×C22⋊C4—21no—
663C5×C22⋊C4—21no—
664C5×C22⋊C4—21no—
665C5×C22⋊C4—21no—
666C5×C22⋊C4—21no—
667C5×C22⋊C4—21no—
668C5×C22⋊C4—21no—
669C5×C22⋊C4—21no—
670C5×C22⋊C4—21no—
671C5×C22⋊C4C2×D411yescharacteristic
672C5×C22⋊C4C2×D411yescharacteristic
673C5×C22⋊C4C2×D411yescharacteristic
674C5×C22⋊C4C2×D411yescharacteristic
675C5×C22⋊C4C2×D411yescharacteristic
676C5×C22⋊C4C2×D411yescharacteristic
677C5×C22⋊C4C2×D411yescharacteristic
678C5×C22⋊C4C2×D411yescharacteristic
679C5×C22⋊C4C2×D411yescharacteristic
680C5×C22⋊C4C2×D411yescharacteristic
681C42×C5—21no—
682C42×C5—21no—
683C42×C5C2411yescharacteristic
684C42×C5C2411yescharacteristic
685C22⋊Dic5—21no—
686C22⋊Dic5—21no—
687C22⋊Dic5—21no—
688C22⋊Dic5—21no—
689C22⋊Dic5—21no—
690C22⋊Dic5—21no—
691C22⋊Dic5—21no—
692C22⋊Dic5—21no—
693C22⋊Dic5—21no—
694C22⋊Dic5—21no—
695C22⋊Dic5—21no—
696#689—22no—
697#689—22no—
698#689—22no—
699#689—41no—
700#689—41no—
701#689—41no—
702#688—22no—
703#688—41no—
704#687—22no—
705#687—22no—
706#687—22no—
707#687—41no—
708#687—41no—
709#687—41no—
710#687—41no—
711#687—41no—
712#687—41no—
713#687—41no—
714#687—41no—
715#687—41no—
716#686—22no—
717#686—41no—
718#686—41no—
719#686—41no—
720#685—21no—
721#685—21no—
722#685—21no—
723#685—21no—
724#685—21no—
725#685—21no—
726C4⋊Dic5—21no—
727C4⋊Dic5—21no—
728C4⋊Dic5—21no—
729C4⋊Dic5—21no—
730C4⋊Dic5—21no—
731C4⋊Dic5C2411yescharacteristic
732C4⋊Dic5C2411yescharacteristic
733C4⋊Dic5C2411yescharacteristic
734C4⋊Dic5C2411yescharacteristic
735#683—21no—
736#683—21no—
737#683—21no—
738#683—21no—
739#683—21no—
740#683—21no—
741#683—21no—
742#683—21no—
743#683—21no—
744#683—21no—
745#683—21no—
746#683—21no—
747#683—21no—
748#683—21no—
749C4×Dic5—21no—
750C4×Dic5—21no—
751C4×Dic5—21no—
752C4×Dic5—21no—
753C4×Dic5—21no—
754#681—41no—
755#681—41no—
756#681—41no—
757#681—41no—
758#681—41no—
759#681—41no—
760C2×#168—41no—
761C2×#168—41no—
762C2×#168C2411yescharacteristic
763C2×#168C2411yescharacteristic
764C2×#168C2411yescharacteristic
765C2×#168C2411yescharacteristic
766C2×#168C2411yescharacteristic
767C2×#168C2411yescharacteristic
768C2×#168C2411yescharacteristic
769C2×#168C2411yescharacteristic
770C2×H(5,𝔽2)C2×D511yescharacteristic
771C22×#41C2×D511yescharacteristic
772C2×#137—51no—
773C2×#137—51no—
774C2×#137—51no—
775C2×#137—51no—
776C2×AGL(1,ℤ/8)—51no—
777C2×AGL(1,ℤ/8)—51no—
778C2×#135—51no—
779C22×SD16—51no—
780#563—101no—
781#562—101no—
782#556—51no—
783#554—51no—
784#554—101no—
785#553—51no—
786#553—101no—
787#552—51no—
788#550C2×D511yescharacteristic
789#550C2×D511yescharacteristic
790D4×Q8—51no—
791#548—51no—
792#548—51no—
793#548C2×D511yescharacteristic
794#548C2×D511yescharacteristic
795#547—51no—
796#546—21no—
797#546—21no—
798#546C2×D511yescharacteristic
799#546C2×D511yescharacteristic
800D42—21no—
801D42—21no—
802D42C2×D511yescharacteristic
803D42C2×D511yescharacteristic
804#542—51no—
805#542—101no—
806#541—51no—
807#539—101no—
808#538—101no—
809#538—101no—
810#537—21no—
811#537—51no—
812#537C2×D511yescharacteristic
813#536—51no—
814#535—21no—
815#535C2×D511yescharacteristic
816#525—21no—
817#525—51no—
818#525C2×D511yescharacteristic
819C2×C22⋊Q8—51no—
820C2×#121—21no—
821C2×#121C2×D511yescharacteristic
822#520C2×D511yescharacteristic
823#497—51no—
824#496—51no—
825#495—51no—
826#492—51no—
827#490—51no—
828#489—51no—
829#488—51no—
830#486—51no—
831#485—51no—
832#484—51no—
833#484—51no—
834#484—51no—
835#483—51no—
836#482—51no—
837#482—51no—
838#482—51no—
839#480—51no—
840#480—51no—
841#480—51no—
842#480—51no—
843#479—51no—
844#478—51no—
845#477—51no—
846#474—51no—
847#470—51no—
848#469—51no—
849#469—51no—
850#468—51no—
851#468—51no—
852#468—51no—
853#468—51no—
854#468—51no—
855#468—51no—
856#468—51no—
857#468—51no—
858#468—51no—
859#467—51no—
860#467—51no—
861#466—51no—
862#465—51no—
863#464—51no—
864#464—51no—
865#464—51no—
866#464—51no—
867#463—51no—
868#463—51no—
869#462—51no—
870#461—51no—
871#460—51no—
872#460—51no—
873#460—51no—
874#459—51no—
875#452—51no—
876#452—51no—
877#452—51no—
878#452—51no—
879#452—51no—
880#452—51no—
881#452—51no—
882#452—51no—
883#452—51no—
884#452—51no—
885#452—51no—
886#452—51no—
887#451—51no—
888#451—51no—
889#451—51no—
890#450—51no—
891#450—51no—
892#450—51no—
893#450—51no—
894#450—51no—
895#450—51no—
896#450—51no—
897#450—51no—
898#449—51no—
899#449—51no—
900#449—51no—
901#449—51no—
902#449—51no—
903#449—51no—
904#449—51no—
905#449—51no—
906#448—51no—
907#448—51no—
908#448—51no—
909#447—51no—
910#447—51no—
911#441—51no—
912#440—51no—
913#440—51no—
914#440—51no—
915C4×Q16—51no—
916C4×Q16—51no—
917C4×SD16—51no—
918C4×D8—51no—
919#436—51no—
920#436—51no—
921#436—51no—
922#436—51no—
923#435—51no—
924#435—51no—
925#435—51no—
926#435—51no—
927#433—51no—
928#433—51no—
929#419—51no—
930#418—51no—
931#418—51no—
932#417—51no—
933#417—51no—
934#417—51no—
935#416—51no—
936C2×#102—51no—
937#408—51no—
938#408—51no—
939#407—51no—
940#407—51no—
941C23×C5—21no—
942C23×C5—21no—
943C23×C5—21no—
944C23×C5—21no—
945C23×C5—41no—
946C23×C5—41no—
947C23×C5—41no—
948C23×C5—42no—
949C23×C5—42no—
950C23×C5—42no—
951C23×C5—42no—
952C23×C5—42no—
953C23×C5—81no—
954C23×C5—81no—
955C23×C5—81no—
956C23×C5—81no—
957C23×C5—81no—
958C23×C5—81no—
959C23×C5—81no—
960C23×C5C22×D411yescharacteristic
961C23×C5C22×D411yescharacteristic
962C23×C5C22×D411yescharacteristic
963C23×C5C22×D411yescharacteristic
964C23×C5C22×D411yescharacteristic
965C22×D5—21no—
966C5×Q8—21no—
967C5×Q8—21no—
968C5×Q8—21no—
969C5×Q8—41no—
970C5×Q8—42no—
971C5×Q8H(5,𝔽2)12yes—
972C5×D4—24no—
973C5×D4—21no—
974C5×D4—21no—
975C5×D4—21no—
976C5×D4—21no—
977C5×D4—21no—
978C5×D4—21no—
979C5×D4—21no—
980C5×D4—41no—
981C5×D4—41no—
982C5×D4—41no—
983C5×D4—41no—
984C5×D4—41no—
985C5×D4—41no—
986C5×D4—41no—
987C5×D4—42no—
988C5×D4—42no—
989C5×D4—42no—
990C5×D4—42no—
991C5×D4—42no—
992C5×D4—42no—
993C5×D4—42no—
994C5×D4—42no—
995C5×D4—42no—
996C5×D4—42no—
997C5×D4—42no—
998C5×D4—81no—
999C5×D4—81no—
1000C5×D4—81no—
1001C5×D4—81no—
1002C5×D4—81no—
1003C5×D4—81no—
1004C5×D4—81no—
1005C5×D4—81no—
1006C5×D4H(5,𝔽2)12yes—
1007C2×C4×C5—24no—
1008C2×C4×C5—21no—
1009C2×C4×C5—21no—
1010C2×C4×C5—21no—
1011C2×C4×C5—21no—
1012C2×C4×C5—21no—
1013C2×C4×C5—21no—
1014C2×C4×C5—21no—
1015C2×C4×C5—21no—
1016C2×C4×C5—21no—
1017C2×C4×C5—21no—
1018C2×C4×C5—21no—
1019C2×C4×C5—21no—
1020C2×C4×C5—21no—
1021C2×C4×C5—21no—
1022C2×C4×C5—41no—
1023C2×C4×C5—41no—
1024C2×C4×C5—41no—
1025C2×C4×C5—42no—
1026C2×C4×C5—42no—
1027C2×C4×C5—42no—
1028C2×C4×C5—42no—
1029C2×C4×C5—42no—
1030C2×C4×C5—42no—
1031C2×C4×C5—81no—
1032C2×C4×C5—81no—
1033C2×C4×C5—81no—
1034C2×C4×C5C22×D411yescharacteristic
1035C2×C4×C5C22×D411yescharacteristic
1036C2×C4×C5C22×D411yescharacteristic
1037C2×C4×C5C22×D411yescharacteristic
1038C2×C4×C5C22×D411yescharacteristic
1039C2×C4×C5C22×D411yescharacteristic
1040C2×C4×C5C22×D411yescharacteristic
1041C2×C4×C5C22×D411yescharacteristic
1042C2×C4×C5C22×D411yescharacteristic
1043C2×C4×C5C2511yescharacteristic
1044C22⋊D5—42no—
1045C22⋊D5—81no—
1046C22⋊D5—81no—
1047C22⋊D5—81no—
1048C22⋊D5—81no—
1049C2×Dic5—21no—
1050C2×Dic5—21no—
1051C2×Dic5—21no—
1052C2×Dic5—21no—
1053C2×Dic5—21no—
1054C2×Dic5—21no—
1055C2×Dic5—21no—
1056C2×Dic5—81no—
1057C2×Dic5—81no—
1058C2×Dic5—81no—
1059C2×Dic5—81no—
1060D20—21no—
1061D20—21no—
1062C4×D5—81no—
1063C4×D5—81no—
1064C4×D5—81no—
1065Dic10—21no—
1066Dic10—21no—
1067Dic10—21no—
1068Dic10—21no—
1069Dic10—21no—
1070Dic10—21no—
1071Dic10—81no—
1072Dic10—81no—
1073Dic10—81no—
1074#168—21no—
1075#168—21no—
1076#168—21no—
1077#168—21no—
1078#168—21no—
1079#168—21no—
1080#168—21no—
1081#168—21no—
1082H(5,𝔽2)—42no—
1083H(5,𝔽2)—42no—
1084C2×#41—21no—
1085C2×#41—21no—
1086C2×#41—21no—
1087C2×#41—42no—
1088C2×#41—42no—
1089C2×#41—51no—
1090C2×#41—51no—
1091C2×#41C22×D511yescharacteristic
1092C2×#41C22×D511yescharacteristic
1093C2×#41C22×D511yescharacteristic
1094C2×#41C22×D511yescharacteristic
1095C2×#41C22×D511yescharacteristic
1096C2×#41C22×D511yescharacteristic
1097C2×#41C22×D511yescharacteristic
1098C22×Q8—51no—
1099C22×Q8—51no—
1100C22×Q8C22×D511yescharacteristic
1101C22×D4—21no—
1102C22×D4—21no—
1103C22×D4—21no—
1104C22×D4—21no—
1105C22×D4—21no—
1106C22×D4—21no—
1107C22×D4—21no—
1108C22×D4C22×D511yescharacteristic
1109C22×D4C22×D511yescharacteristic
1110C22×D4C22×D511yescharacteristic
1111C22×D4C22×D511yescharacteristic
1112C23×C4—21no—
1113C23×C4C22×D511yescharacteristic
1114#137—202no—
1115#137—202no—
1116#137—202no—
1117#137—202no—
1118AGL(1,ℤ/8)—202no—
1119AGL(1,ℤ/8)—202no—
1120#135—202no—
1121C2×Q16—51no—
1122C2×Q16—51no—
1123C2×Q16—51no—
1124C2×Q16—51no—
1125C2×Q16—51no—
1126C2×Q16—51no—
1127C2×SD16—51no—
1128C2×SD16—51no—
1129C2×SD16—51no—
1130C2×SD16—51no—
1131C2×SD16—51no—
1132C2×SD16—51no—
1133C2×SD16—51no—
1134C2×SD16—51no—
1135C2×SD16—51no—
1136C2×SD16—51no—
1137C2×SD16—51no—
1138C2×SD16—51no—
1139C2×SD16—51no—
1140C2×SD16—51no—
1141C2×SD16—202no—
1142C2×D8—51no—
1143C2×D8—51no—
1144C2×D8—51no—
1145C2×D8—51no—
1146C2×M16—51no—
1147C2×M16—51no—
1148C2×M16—51no—
1149C2×M16—51no—
1150C2×M16—51no—
1151C2×M16—51no—
1152C22×C8—51no—
1153C22×C8—51no—
1154C4⋊Q8—51no—
1155C4⋊Q8—51no—
1156C4⋊Q8—101no—
1157C4⋊Q8—101no—
1158#127—21no—
1159#127—21no—
1160#127C22×D511yescharacteristic
1161#127C22×D511yescharacteristic
1162#126—101no—
1163#126—101no—
1164#126—101no—
1165#126—101no—
1166#126—101no—
1167#126—101no—
1168#126—101no—
1169#125—51no—
1170#125—101no—
1171#125—101no—
1172#125—101no—
1173#125—101no—
1174#124—21no—
1175#124—21no—
1176#124—51no—
1177#124—101no—
1178#124—101no—
1179#124—101no—
1180#124—101no—
1181#124—101no—
1182#124C22×D511yescharacteristic
1183#124C22×D511yescharacteristic
1184#123—21no—
1185#123—21no—
1186#123—101no—
1187#123—101no—
1188#123—101no—
1189#123—101no—
1190#123—101no—
1191#123—101no—
1192#123—101no—
1193#123—101no—
1194#123C22⋊D511yescharacteristic
1195#123C22⋊D511yescharacteristic
1196C22⋊Q8—21no—
1197C22⋊Q8—21no—
1198C22⋊Q8—21no—
1199C22⋊Q8—51no—
1200C22⋊Q8—51no—
1201C22⋊Q8—51no—
1202C22⋊Q8—51no—
1203C22⋊Q8—51no—
1204C22⋊Q8—51no—
1205C22⋊Q8—51no—
1206C22⋊Q8—51no—
1207C22⋊Q8—51no—
1208C22⋊Q8—101no—
1209C22⋊Q8—101no—
1210C22⋊Q8—101no—
1211C22⋊Q8—101no—
1212C22⋊Q8—101no—
1213C22⋊Q8—101no—
1214C22⋊Q8—101no—
1215C22⋊Q8—101no—
1216C22⋊Q8—101no—
1217C22⋊Q8—101no—
1218C22⋊Q8C22⋊D511yescharacteristic
1219C22⋊Q8C22⋊D511yescharacteristic
1220C22⋊Q8C22×D511yescharacteristic
1221C22⋊Q8C22×D511yescharacteristic
1222#121—21no—
1223#121—21no—
1224#121—21no—
1225#121—21no—
1226#121—21no—
1227#121—21no—
1228#121—21no—
1229#121—21no—
1230#121—21no—
1231#121—21no—
1232#121—21no—
1233#121—21no—
1234#121—21no—
1235#121—21no—
1236#121—21no—
1237#121—21no—
1238#121—21no—
1239#121—51no—
1240#121—51no—
1241#121—51no—
1242#121—101no—
1243#121—101no—
1244#121—101no—
1245#121—101no—
1246#121—101no—
1247#121—101no—
1248#121—101no—
1249#121C22⋊D511yescharacteristic
1250#121C22⋊D511yescharacteristic
1251#121C22×D511yescharacteristic
1252#121C22×D511yescharacteristic
1253#121C22×D511yescharacteristic
1254#121C22×D511yescharacteristic
1255#121C22×D511yescharacteristic
1256#121C22×D511yescharacteristic
1257#120—21no—
1258#120—21no—
1259#120—21no—
1260#120—21no—
1261#120—21no—
1262#120—21no—
1263#120—21no—
1264#120—21no—
1265#120—101no—
1266#120C22⋊D511yescharacteristic
1267#120C22⋊D511yescharacteristic
1268C4×Q8—51no—
1269C4×Q8—51no—
1270C4×Q8—51no—
1271C4×Q8—101no—
1272C4×Q8C22×D511yescharacteristic
1273C4×Q8C22×D511yescharacteristic
1274C4×D4—21no—
1275C4×D4—21no—
1276C4×D4—21no—
1277C4×D4—21no—
1278C4×D4—21no—
1279C4×D4—21no—
1280C4×D4—51no—
1281C4×D4—101no—
1282C4×D4—101no—
1283C4×D4—101no—
1284C4×D4—101no—
1285C4×D4—101no—
1286C4×D4—101no—
1287C4×D4—101no—
1288C4×D4C22×D511yescharacteristic
1289C4×D4C22×D511yescharacteristic
1290C4×D4C22×D511yescharacteristic
1291C4×D4C22×D511yescharacteristic
1292C4×D4C22×D511yescharacteristic
1293C4×D4C22×D511yescharacteristic
1294#117—21no—
1295#117—51no—
1296#117—51no—
1297#117—101no—
1298#117C22×D511yescharacteristic
1299C2×C4⋊C4—21no—
1300C2×C4⋊C4—51no—
1301C2×C4⋊C4—51no—
1302C2×C4⋊C4—101no—
1303C2×C4⋊C4—101no—
1304C2×C4⋊C4C22×D511yescharacteristic
1305C2×C22⋊C4—21no—
1306C2×C22⋊C4—21no—
1307C2×C22⋊C4—21no—
1308C2×C22⋊C4—101no—
1309#107—51no—
1310#107—51no—
1311#107—51no—
1312#107—51no—
1313#107—51no—
1314#107—51no—
1315#106—51no—
1316#106—51no—
1317C4⋊C8—51no—
1318C4⋊C8—51no—
1319C4⋊C8—51no—
1320C4⋊C8—51no—
1321#103—51no—
1322#103—51no—
1323#103—51no—
1324#103—51no—
1325#103—51no—
1326#103—51no—
1327#103—51no—
1328#103—51no—
1329#103—51no—
1330#103—51no—
1331#103—51no—
1332#103—51no—
1333#103—51no—
1334#103—51no—
1335#102—51no—
1336#102—51no—
1337#102—51no—
1338#102—51no—
1339#102—51no—
1340#102—51no—
1341#102—51no—
1342#102—51no—
1343#102—51no—
1344#102—51no—
1345#102—51no—
1346#102—51no—
1347#102—51no—
1348#102—51no—
1349#102—51no—
1350#102—51no—
1351#102—51no—
1352#102—51no—
1353C22⋊C8—51no—
1354C22⋊C8—51no—
1355C22⋊C8—51no—
1356C22⋊C8—51no—
1357C22⋊C8—51no—
1358C22⋊C8—51no—
1359C22⋊C8—51no—
1360C22⋊C8—51no—
1361C22⋊C8—51no—
1362C22⋊C8—51no—
1363C22⋊C8—51no—
1364C22⋊C8—51no—
1365#97—51no—
1366#97—51no—
1367C4×C8—51no—
1368C4×C8—51no—
1369C22×C5—21no—
1370C22×C5—21no—
1371C22×C5—21no—
1372C22×C5—21no—
1373C22×C5—21no—
1374C22×C5—21no—
1375C22×C5—21no—
1376C22×C5—21no—
1377C22×C5—21no—
1378C22×C5—21no—
1379C22×C5—21no—
1380C22×C5—21no—
1381C22×C5—21no—
1382C22×C5—21no—
1383C22×C5—21no—
1384C22×C5—22no—
1385C22×C5—41no—
1386C22×C5—41no—
1387C22×C5—41no—
1388C22×C5—41no—
1389C22×C5—41no—
1390C22×C5—41no—
1391C22×C5—41no—
1392C22×C5—41no—
1393C22×C5—41no—
1394C22×C5—41no—
1395C22×C5—41no—
1396C22×C5—82no—
1397C22×C5—84no—
1398C22×C5—162no—
1399C22×C5—162no—
1400C22×C5—162no—
1401C22×C5C23×D411yescharacteristic
1402C2×D5—41no—
1403C2×D5—41no—
1404C2×D5—41no—
1405C4×C5—21no—
1406C4×C5—21no—
1407C4×C5—21no—
1408C4×C5—21no—
1409C4×C5—21no—
1410C4×C5—21no—
1411C4×C5—21no—
1412C4×C5—21no—
1413C4×C5—21no—
1414C4×C5—22no—
1415C4×C5—41no—
1416C4×C5—41no—
1417C4×C5—41no—
1418C4×C5C2×H(5,𝔽2)11yescharacteristic
1419C4×C5C2×H(5,𝔽2)11yescharacteristic
1420Dic5—41no—
1421Dic5—41no—
1422Dic5—41no—
1423Dic5—41no—
1424Dic5—41no—
1425Dic5—41no—
1426Dic5—41no—
1427C24—21no—
1428C24—21no—
1429C24—21no—
1430C24—21no—
1431C24C2×C22⋊D511yescharacteristic
1432#41—22no—
1433#41—22no—
1434#41—22no—
1435#41—22no—
1436#41—22no—
1437#41—22no—
1438#41—41no—
1439#41—41no—
1440#41—41no—
1441#41—41no—
1442#41—41no—
1443#41—41no—
1444#41—41no—
1445#41—41no—
1446#41—44no—
1447#41—44no—
1448#41—44no—
1449#41—201no—
1450#41—201no—
1451#41—201no—
1452#41—201no—
1453C2×Q8—21no—
1454C2×Q8—22no—
1455C2×Q8—41no—
1456C2×Q8—51no—
1457C2×Q8—51no—
1458C2×Q8—51no—
1459C2×Q8—101no—
1460C2×Q8—101no—
1461C2×Q8—101no—
1462C2×Q8—201no—
1463C2×Q8—201no—
1464C2×Q8—201no—
1465C2×Q8—201no—
1466C2×Q8C2×C22⋊D511yescharacteristic
1467C2×Q8C23×D511yescharacteristic
1468C2×Q8C23×D511yescharacteristic
1469C2×D4—21no—
1470C2×D4—22no—
1471C2×D4—22no—
1472C2×D4—22no—
1473C2×D4—21no—
1474C2×D4—21no—
1475C2×D4—21no—
1476C2×D4—21no—
1477C2×D4—21no—
1478C2×D4—21no—
1479C2×D4—21no—
1480C2×D4—21no—
1481C2×D4—21no—
1482C2×D4—21no—
1483C2×D4—21no—
1484C2×D4—21no—
1485C2×D4—21no—
1486C2×D4—21no—
1487C2×D4—21no—
1488C2×D4—21no—
1489C2×D4—21no—
1490C2×D4—21no—
1491C2×D4—21no—
1492C2×D4—41no—
1493C2×D4—41no—
1494C2×D4—41no—
1495C2×D4—41no—
1496C2×D4—41no—
1497C2×D4—44no—
1498C2×D4—44no—
1499C2×D4—44no—
1500C2×D4—44no—
1501C2×D4—51no—
1502C2×D4—82no—
1503C2×D4—82no—
1504C2×D4—82no—
1505C2×D4—101no—
1506C2×D4—101no—
1507C2×D4—101no—
1508C2×D4—101no—
1509C2×D4—101no—
1510C2×D4C2×C22⋊D511yescharacteristic
1511C2×D4C2×C22⋊D511yescharacteristic
1512C2×D4C2×C22⋊D511yescharacteristic
1513C2×D4C2×C22⋊D511yescharacteristic
1514C2×D4C2×C22⋊D511yescharacteristic
1515C2×D4C2×C22⋊D511yescharacteristic
1516C2×D4C2×C22⋊D511yescharacteristic
1517C2×D4C23×D511yescharacteristic
1518C2×D4C23×D511yescharacteristic
1519C2×D4C23×D511yescharacteristic
1520C2×D4C23×D511yescharacteristic
1521C22×C4—21no—
1522C22×C4—21no—
1523C22×C4—21no—
1524C22×C4—21no—
1525C22×C4—21no—
1526C22×C4—21no—
1527C22×C4—21no—
1528C22×C4—21no—
1529C22×C4—21no—
1530C22×C4—21no—
1531C22×C4—41no—
1532C22×C4—41no—
1533C22×C4—44no—
1534C22×C4—101no—
1535C22×C4—101no—
1536C22×C4—101no—
1537C22×C4—101no—
1538C22×C4—101no—
1539C22×C4—101no—
1540C22×C4—101no—
1541C22×C4C2×C22⋊D511yescharacteristic
1542C22×C4C2×C22⋊D511yescharacteristic
1543C22×C4C2×C22⋊D511yescharacteristic
1544C22×C4C23×D511yescharacteristic
1545C22×C4C23×D511yescharacteristic
1546C22×C4C23×D511yescharacteristic
1547C22×C4C23×D511yescharacteristic
1548C22×C4C23×D511yescharacteristic
1549Q16—102no—
1550Q16—102no—
1551Q16—102no—
1552Q16—201no—
1553Q16—201no—
1554Q16—201no—
1555SD16—102no—
1556SD16—102no—
1557SD16—102no—
1558SD16—102no—
1559SD16—201no—
1560SD16—201no—
1561SD16—201no—
1562SD16—201no—
1563SD16—201no—
1564SD16—201no—
1565SD16—201no—
1566SD16—201no—
1567SD16—201no—
1568SD16—201no—
1569D8—102no—
1570D8—201no—
1571D8—201no—
1572D8—201no—
1573M16—201no—
1574M16—201no—
1575M16—201no—
1576M16—201no—
1577M16—201no—
1578M16—201no—
1579C2×C8—51no—
1580C2×C8—51no—
1581C2×C8—51no—
1582C2×C8—51no—
1583C2×C8—51no—
1584C2×C8—51no—
1585C2×C8—51no—
1586C2×C8—51no—
1587C2×C8—201no—
1588C2×C8—201no—
1589C4⋊C4—21no—
1590C4⋊C4—21no—
1591C4⋊C4—21no—
1592C4⋊C4—21no—
1593C4⋊C4—21no—
1594C4⋊C4—51no—
1595C4⋊C4—51no—
1596C4⋊C4—51no—
1597C4⋊C4—51no—
1598C4⋊C4—101no—
1599C4⋊C4—101no—
1600C4⋊C4—101no—
1601C4⋊C4—101no—
1602C4⋊C4—101no—
1603C4⋊C4—101no—
1604C4⋊C4—101no—
1605C4⋊C4—101no—
1606C4⋊C4—101no—
1607C4⋊C4—101no—
1608C4⋊C4—101no—
1609C4⋊C4—101no—
1610C4⋊C4—101no—
1611C4⋊C4—101no—
1612C4⋊C4—101no—
1613C4⋊C4—101no—
1614C4⋊C4—101no—
1615C4⋊C4—101no—
1616C4⋊C4—101no—
1617C4⋊C4C2×C22⋊D511yescharacteristic
1618C4⋊C4C2×C22⋊D511yescharacteristic
1619C4⋊C4C2×C22⋊D511yescharacteristic
1620C4⋊C4C2×C22⋊D511yescharacteristic
1621C4⋊C4C2×C22⋊D511yescharacteristic
1622C4⋊C4C2×C22⋊D511yescharacteristic
1623C4⋊C4C23×D511yescharacteristic
1624C4⋊C4C23×D511yescharacteristic
1625C22⋊C4—21no—
1626C22⋊C4—21no—
1627C22⋊C4—21no—
1628C22⋊C4—21no—
1629C22⋊C4—21no—
1630C22⋊C4—21no—
1631C22⋊C4—21no—
1632C22⋊C4—21no—
1633C22⋊C4—21no—
1634C22⋊C4—21no—
1635C22⋊C4—21no—
1636C22⋊C4—21no—
1637C22⋊C4—21no—
1638C22⋊C4—21no—
1639C22⋊C4—101no—
1640C22⋊C4—101no—
1641C22⋊C4—101no—
1642C22⋊C4—101no—
1643C22⋊C4—101no—
1644C22⋊C4—101no—
1645C22⋊C4—101no—
1646C22⋊C4—101no—
1647C22⋊C4—101no—
1648C22⋊C4—101no—
1649C22⋊C4—101no—
1650C22⋊C4—101no—
1651C22⋊C4—101no—
1652C22⋊C4—101no—
1653C22⋊C4—101no—
1654C22⋊C4—101no—
1655C22⋊C4—101no—
1656C22⋊C4C2×C22⋊D511yescharacteristic
1657C22⋊C4C2×C22⋊D511yescharacteristic
1658C22⋊C4C2×C22⋊D511yescharacteristic
1659C22⋊C4C2×C22⋊D511yescharacteristic
1660C22⋊C4C2×C22⋊D511yescharacteristic
1661C22⋊C4C2×C22⋊D511yescharacteristic
1662C22⋊C4C2×C22⋊D511yescharacteristic
1663C22⋊C4C2×C22⋊D511yescharacteristic
1664C22⋊C4C2×C22⋊D511yescharacteristic
1665C22⋊C4C2×C22⋊D511yescharacteristic
1666C42—21no—
1667C42—21no—
1668C42—101no—
1669C42—101no—
1670C42—101no—
1671C42—101no—
1672C42—101no—
1673C42C23×D511yescharacteristic
1674C42C23×D511yescharacteristic
1675C2×C5—41no—
1676C2×C5—41no—
1677C2×C5—41no—
1678C2×C5—41no—
1679C2×C5—41no—
1680C2×C5—42no—
1681C2×C5—81no—
1682C2×C5—81no—
1683C2×C5—81no—
1684C2×C5#348411yescharacteristic
1685C2×C5#358511yescharacteristic
1686C2×C5#358611yescharacteristic
1687D5—81no—
1688C23—21no—
1689C23—21no—
1690C23—21no—
1691C23—21no—
1692C23—41no—
1693C23—41no—
1694C23—41no—
1695C23—42no—
1696C23—42no—
1697C23—42no—
1698C23—42no—
1699C23—42no—
1700C23—81no—
1701C23—81no—
1702C23—81no—
1703C23—81no—
1704C23—81no—
1705C23—81no—
1706C23—81no—
1707C23—101no—
1708C23C22×C22⋊D511yescharacteristic
1709C23C22×C22⋊D511yescharacteristic
1710C23C22×C22⋊D511yescharacteristic
1711C23C22×C22⋊D511yescharacteristic
1712C23C22×C22⋊D511yescharacteristic
1713Q8—21no—
1714Q8—21no—
1715Q8—21no—
1716Q8—41no—
1717Q8—42no—
1718Q8—101no—
1719Q8—101no—
1720Q8—101no—
1721Q8—101no—
1722Q8—101no—
1723Q8—101no—
1724Q8—401no—
1725Q8—401no—
1726Q8—401no—
1727Q8#414412yes—
1728D4—24no—
1729D4—21no—
1730D4—21no—
1731D4—21no—
1732D4—21no—
1733D4—21no—
1734D4—21no—
1735D4—21no—
1736D4—41no—
1737D4—41no—
1738D4—41no—
1739D4—41no—
1740D4—41no—
1741D4—41no—
1742D4—41no—
1743D4—42no—
1744D4—42no—
1745D4—42no—
1746D4—42no—
1747D4—42no—
1748D4—42no—
1749D4—42no—
1750D4—42no—
1751D4—42no—
1752D4—42no—
1753D4—42no—
1754D4—81no—
1755D4—81no—
1756D4—81no—
1757D4—81no—
1758D4—81no—
1759D4—81no—
1760D4—81no—
1761D4—81no—
1762D4—101no—
1763D4—101no—
1764D4—202no—
1765D4—401no—
1766D4—401no—
1767D4—401no—
1768D4—401no—
1769D4#414412yes—
1770C2×C4—24no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—21no—
1778C2×C4—21no—
1779C2×C4—21no—
1780C2×C4—21no—
1781C2×C4—21no—
1782C2×C4—21no—
1783C2×C4—21no—
1784C2×C4—21no—
1785C2×C4—41no—
1786C2×C4—41no—
1787C2×C4—41no—
1788C2×C4—42no—
1789C2×C4—42no—
1790C2×C4—42no—
1791C2×C4—42no—
1792C2×C4—42no—
1793C2×C4—42no—
1794C2×C4—81no—
1795C2×C4—81no—
1796C2×C4—81no—
1797C2×C4—101no—
1798C2×C4—101no—
1799C2×C4—101no—
1800C2×C4—101no—
1801C2×C4—101no—
1802C2×C4—101no—
1803C2×C4—101no—
1804C2×C4—401no—
1805C2×C4—401no—
1806C2×C4—401no—
1807C2×C4—401no—
1808C2×C4—401no—
1809C2×C4—401no—
1810C2×C4—401no—
1811C2×C4C22×C22⋊D511yescharacteristic
1812C2×C4C22×C22⋊D511yescharacteristic
1813C2×C4C22×C22⋊D511yescharacteristic
1814C2×C4C22×C22⋊D511yescharacteristic
1815C2×C4C22×C22⋊D511yescharacteristic
1816C2×C4C22×C22⋊D511yescharacteristic
1817C2×C4C22×C22⋊D511yescharacteristic
1818C2×C4C22×C22⋊D511yescharacteristic
1819C2×C4C22×C22⋊D511yescharacteristic
1820C2×C4C24×D511yescharacteristic
1821C8—101no—
1822C8—101no—
1823C8—101no—
1824C8—101no—
1825C8—101no—
1826C8—101no—
1827C8—101no—
1828C8—101no—
1829C5#6165411yescharacteristic, complemented, Sylow
1830C22—21no—
1831C22—21no—
1832C22—21no—
1833C22—22no—
1834C22—21no—
1835C22—21no—
1836C22—21no—
1837C22—21no—
1838C22—21no—
1839C22—21no—
1840C22—21no—
1841C22—21no—
1842C22—21no—
1843C22—21no—
1844C22—21no—
1845C22—21no—
1846C22—41no—
1847C22—41no—
1848C22—41no—
1849C22—41no—
1850C22—41no—
1851C22—41no—
1852C22—41no—
1853C22—41no—
1854C22—41no—
1855C22—41no—
1856C22—41no—
1857C22—82no—
1858C22—84no—
1859C22—162no—
1860C22—162no—
1861C22—162no—
1862C22—201no—
1863C22—201no—
1864C22—201no—
1865C22C23×C22⋊D511yescharacteristic
1866C4—21no—
1867C4—22no—
1868C4—21no—
1869C4—21no—
1870C4—21no—
1871C4—21no—
1872C4—21no—
1873C4—21no—
1874C4—21no—
1875C4—21no—
1876C4—41no—
1877C4—41no—
1878C4—41no—
1879C4—201no—
1880C4—201no—
1881C4—201no—
1882C4—201no—
1883C4—201no—
1884C4—201no—
1885C4—201no—
1886C4C2×#414411yescharacteristic
1887C4C2×#414411yescharacteristic
1888C2—41no—
1889C2—41no—
1890C2—41no—
1891C2—41no—
1892C2—41no—
1893C2—42no—
1894C2—81no—
1895C2—81no—
1896C2—81no—
1897C2—401no—
1898C2#1061914011yescharacteristic
1899C2#1061917811yescharacteristic
1900C2#1061920011yescharacteristic
subgroupG/H
centerC22C23×C22⋊D5
commutator, cosocleC2×C4×C5C25
FrattiniC2×C4C24×D5
FittingC5×#3488C2
socleC22×C5C23×D4
hypercenter#3488D5
hypocenterC5#61654
LCSG ▷ C2×C4×C5 ▷ C2×C5 ▷ C5
UCSC1 ◁ C22 ◁ #525 ◁ #3488

Complements

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

NH ≅ G/Ntype
1. C5×#3488C2semidirect
2. #10617957C2semidirect
3. #10615836C2semidirect
4. #10615833C2semidirect
5. #10615815C2semidirect
6. #10615812C2semidirect
7. #10615315C2semidirect
8. #10615314C2semidirect
9. #10615306C2semidirect
10. #10615303C2semidirect
11. #10615279C2semidirect
12. #10615274C2semidirect
13. #10615272C2semidirect
14. #10615268C2semidirect
15. #10615239C2semidirect
16. #10615237C2semidirect
17. #10615231C2semidirect
18. #10615229C2semidirect
19. #10615222C2semidirect
20. #10615220C2semidirect
21. #10615217C2semidirect
22. #10615215C2semidirect
23. #10615159C2semidirect
24. #10615157C2semidirect
25. #10615124C2semidirect
26. #10615120C2semidirect
27. #10614652C2semidirect
28. #10614362C2semidirect
29. #10614359C2semidirect
30. #10614306C2semidirect
31. #10614300C2semidirect
55. #66167C22semidirect
56. #66159C22semidirect
57. C2×#4097C22semidirect
58. C2×#4097C22semidirect
59. C2×#4097C22semidirect
60. C2×#4096C22semidirect
61. C2×#4088C22semidirect
62. C22×#687C22semidirect
63. C2×#4078C22semidirect
64. C2×#4078C22semidirect
65. #66125C22semidirect
66. C2×#4070C22semidirect
75. #65899C22semidirect
76. #65886C22semidirect
77. #65886C22semidirect
78. #65885C22semidirect
79. #65877C22semidirect
80. #65876C22semidirect
81. #65875C22semidirect
82. D4×Dic10C22semidirect
83. #65868C22semidirect
84. #65852C22semidirect
88. #65528C22semidirect
89. #65528C22semidirect
90. #65528C22semidirect
91. #65528C22semidirect
92. #65528C22semidirect
93. #65528C22semidirect
94. #65528C22semidirect
95. #65528C22semidirect
97. #65527C22semidirect
98. #65527C22semidirect
99. #65527C22semidirect
100. #65527C22semidirect
101. #65523C22semidirect
102. #65523C22semidirect
103. #65522C22semidirect
104. #65521C22semidirect
105. #65521C22semidirect
106. #65521C22semidirect
107. #65517C22semidirect
108. #65517C22semidirect
109. #65514C22semidirect
110. #65507C22semidirect
111. #65507C22semidirect
112. #65507C22semidirect
113. #65507C22semidirect
114. #65507C22semidirect
115. #65507C22semidirect
116. #65507C22semidirect
117. #65507C22semidirect
118. #65506C22semidirect
119. #65506C22semidirect
120. #65504C22semidirect
121. #65504C22semidirect
122. C2×#3964C22semidirect
123. #65496C22semidirect
124. #65496C22semidirect
125. #65365C22semidirect
126. #65364C22semidirect
127. #65364C22semidirect
128. #65364C22semidirect
129. #65363C22semidirect
130. #65361C22semidirect
131. #65360C22semidirect
132. #65359C22semidirect
133. #65349C22semidirect
134. #65348C22semidirect
135. #65346C22semidirect
136. #65345C22semidirect
137. #65344C22semidirect
138. #65343C22semidirect
139. #65343C22semidirect
140. #65343C22semidirect
141. #65341C22semidirect
142. #65340C22semidirect
143. #65340C22semidirect
144. #65339C22semidirect
145. #65338C22semidirect
146. #65336C22semidirect
147. #65334C22semidirect
148. #65333C22semidirect
149. #65331C22semidirect
150. #65331C22semidirect
151. #65331C22semidirect
152. #65331C22semidirect
153. #65331C22semidirect
154. #65331C22semidirect
155. #65331C22semidirect
156. #65331C22semidirect
157. #65330C22semidirect
158. #65329C22semidirect
159. #65329C22semidirect
160. #65329C22semidirect
161. #65328C22semidirect
162. #65328C22semidirect
163. #65327C22semidirect
164. #65326C22semidirect
165. #65326C22semidirect
166. #65326C22semidirect
167. #65324C22semidirect
168. #65324C22semidirect
169. #65324C22semidirect
170. #65322C22semidirect
171. #65322C22semidirect
172. #65322C22semidirect
173. #65320C22semidirect
174. #65319C22semidirect
175. C4×#689C22semidirect
176. C4×#689C22semidirect
177. #65317C22semidirect
178. #65315C22semidirect
179. #65311C22semidirect
180. #65310C22semidirect
181. #65308C22semidirect
182. #65307C22semidirect
183. #65307C22semidirect
184. C4×#687C22semidirect
185. #65305C22semidirect
186. C4×#686C22semidirect
187. #65301C22semidirect
188. #65301C22semidirect
189. #65301C22semidirect
190. #65301C22semidirect
191. #65300C22semidirect
192. #65300C22semidirect
193. #65300C22semidirect
194. #65300C22semidirect
195. #65298C22semidirect
196. #65296C22semidirect
197. #65289C22semidirect
198. #65289C22semidirect
199. #65260C22semidirect
200. #65259C22semidirect
201. #65259C22semidirect
202. #65256C22semidirect
492. #3488D5semidirect
1829. C5#61654semidirect

Maximal subgroups

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

subgroupindex
C5×#34882
#106179572
#106158362
#106158332
#106158152
#106158122
#106153152
#106153142
#106153062
#106153032
#106152792
#106152742
#106152722
#106152682
#106152392
#106152372
#106152312
#106152292
#106152222
#106152202
#106152172
#106152152
#106151592
#106151572
#106151242
#106151202
#106146522
#106143622
#106143592
#106143062
#106143002
#616545