Finite Group Databasebeta

← #12984961

Subgroups — #12984961

Order 1280.

2056 conjugacy classes of subgroups.

The subgroup lattice has 1870 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C5×#3541C211yesmaximal, characteristic, complemented
2#10617941C211yesmaximal, characteristic, complemented
3#10615396C211yesmaximal, characteristic, complemented
4#10615395C211yesmaximal, characteristic, complemented
5#10615367C211yesmaximal, characteristic, complemented
6#10615366C211yesmaximal, characteristic, complemented
7#10615348C211yesmaximal, characteristic, complemented
8#10615346C211yesmaximal, characteristic, complemented
9#10615331C211yesmaximal, characteristic, complemented
10#10615329C211yesmaximal, characteristic, complemented
11#10615291C211yesmaximal, characteristic, complemented
12#10615290C211yesmaximal, characteristic, complemented
13#10615276C211yesmaximal, characteristic, complemented
14#10615275C211yesmaximal, characteristic, complemented
15#10615274C211yesmaximal, characteristic, complemented
16#10615274C211yesmaximal, characteristic, complemented
17#10615255C211yesmaximal, characteristic, complemented
18#10615253C211yesmaximal, characteristic, complemented
19#10615195C211yesmaximal, characteristic, complemented
20#10615191C211yesmaximal, characteristic, complemented
21#10615183C211yesmaximal, characteristic, complemented
22#10615178C211yesmaximal, characteristic, complemented
23#10615159C211yesmaximal, characteristic, complemented
24#10615155C211yesmaximal, characteristic, complemented
25#10615144C211yesmaximal, characteristic, complemented
26#10615135C211yesmaximal, characteristic, complemented
27#10614663C211yesmaximal, characteristic, complemented
28#10614657C211yesmaximal, characteristic, complemented
29#10614650C211yesmaximal, characteristic, complemented
30#10614468C211yesmaximal, characteristic, complemented
31#10614466C211yesmaximal, characteristic, complemented
32C2×#4149C2211yescharacteristic
33C22×#709C2211yescharacteristic
34C5×#563—21no—
35C5×#562—21no—
36C5×#556C2211yescharacteristic, complemented
37C5×#554—21no—
38C5×#554C2211yescharacteristic, complemented
39C5×#553—21no—
40C5×#553C2211yescharacteristic, complemented
41C5×#552C2211yescharacteristic, complemented
42C5×D4×Q8C2211yescharacteristic, complemented
43C5×#548C2211yescharacteristic, complemented
44C5×#548C2211yescharacteristic, complemented
45C5×#547C2211yescharacteristic, complemented
46C5×#542—21no—
47C5×#542C2211yescharacteristic, complemented
48C5×#541C2211yescharacteristic, complemented
49C5×#539—21no—
50C5×#538—21no—
51C5×#538—21no—
52C5×#537C2211yescharacteristic
53C5×#536C2211yescharacteristic
54C5×#525C2211yescharacteristic
55C5×#525C2211yescharacteristic, complemented
56C2×C5×C22⋊Q8C2211yescharacteristic, complemented
57#66159C2211yescharacteristic
58C2×#4096C2211yescharacteristic, complemented
59C2×#4096C2211yescharacteristic, complemented
60C2×#4096C2211yescharacteristic, complemented
61C2×#4095C2211yescharacteristic, complemented
62C2×#4088C2211yescharacteristic, complemented
63C2×#4088C2211yescharacteristic, complemented
64C2×#4088C2211yescharacteristic, complemented
65C22×#688C2211yescharacteristic, complemented
66#66125C2211yescharacteristic
67D5×#123—21no—
68D5×#123—21no—
69#65965—21no—
70#65965—21no—
71#65946—21no—
72#65946—21no—
73#65923—21no—
74#65923—21no—
75#65885C2211yescharacteristic
76#65885C2211yescharacteristic
77#65885C2211yescharacteristic
78#65885C2211yescharacteristic
79#65884C2211yescharacteristic
80#65884C2211yescharacteristic
81#65884C2211yescharacteristic
82#65884C2211yescharacteristic
83#65860C2211yescharacteristic
84#65855C2211yescharacteristic
85#65528C2211yescharacteristic, complemented
86#65528C2211yescharacteristic, complemented
87#65528C2211yescharacteristic, complemented
88#65527C2211yescharacteristic, complemented
89#65523C2211yescharacteristic
90#65523C2211yescharacteristic
91#65517C2211yescharacteristic, complemented
92#65517C2211yescharacteristic, complemented
93#65517C2211yescharacteristic, complemented
94#65516C2211yescharacteristic, complemented
95#65496C2211yescharacteristic, complemented
96C2×C22⋊#168C2211yescharacteristic, complemented
97#65382C2211yescharacteristic, complemented
98#65381C2211yescharacteristic, complemented
99#65378C2211yescharacteristic, complemented
100#65376C2211yescharacteristic, complemented
101#65375C2211yescharacteristic, complemented
102#65373C2211yescharacteristic, complemented
103#65372C2211yescharacteristic, complemented
104#65372C2211yescharacteristic, complemented
105#65358C2211yescharacteristic, complemented
106#65357C2211yescharacteristic, complemented
107#65355C2211yescharacteristic, complemented
108#65355C2211yescharacteristic, complemented
109#65349C2211yescharacteristic, complemented
110#65348C2211yescharacteristic, complemented
111#65346C2211yescharacteristic, complemented
112#65346C2211yescharacteristic, complemented
113#65341C2211yescharacteristic, complemented
114#65341C2211yescharacteristic, complemented
115#65341C2211yescharacteristic, complemented
116#65341C2211yescharacteristic, complemented
117#65340C2211yescharacteristic, complemented
118#65340C2211yescharacteristic, complemented
119#65340C2211yescharacteristic, complemented
120#65340C2211yescharacteristic, complemented
121#65340C2211yescharacteristic, complemented
122#65339C2211yescharacteristic, complemented
123#65339C2211yescharacteristic, complemented
124#65339C2211yescharacteristic, complemented
125#65338C2211yescharacteristic, complemented
126#65337C2211yescharacteristic, complemented
127#65337C2211yescharacteristic, complemented
128#65336C2211yescharacteristic
129#65336C2211yescharacteristic
130#65336C2211yescharacteristic
131#65336C2211yescharacteristic, complemented
132#65336C2211yescharacteristic, complemented
133#65336C2211yescharacteristic, complemented
134#65336C2211yescharacteristic, complemented
135#65336C2211yescharacteristic, complemented
136#65336C2211yescharacteristic, complemented
137#65336C2211yescharacteristic, complemented
138#65336C2211yescharacteristic, complemented
139#65336C2211yescharacteristic, complemented
140#65335C2211yescharacteristic
141#65335C2211yescharacteristic
142#65335C2211yescharacteristic
143#65335C2211yescharacteristic, complemented
144#65335C2211yescharacteristic, complemented
145#65335C2211yescharacteristic, complemented
146#65334C2211yescharacteristic, complemented
147#65334C2211yescharacteristic, complemented
148#65334C2211yescharacteristic, complemented
149#65331C2211yescharacteristic, complemented
150#65331C2211yescharacteristic, complemented
151#65330C2211yescharacteristic, complemented
152#65329C2211yescharacteristic, complemented
153#65328C2211yescharacteristic, complemented
154#65326C2211yescharacteristic
155#65326C2211yescharacteristic, complemented
156#65326C2211yescharacteristic, complemented
157#65326C2211yescharacteristic, complemented
158#65325C2211yescharacteristic
159#65325C2211yescharacteristic, complemented
160#65324C2211yescharacteristic, complemented
161#65320C2211yescharacteristic, complemented
162#65320C2211yescharacteristic, complemented
163#65320C2211yescharacteristic, complemented
164#65317C2211yescharacteristic, complemented
165#65317C2211yescharacteristic, complemented
166#65317C2211yescharacteristic, complemented
167#65315C2211yescharacteristic, complemented
168#65315C2211yescharacteristic, complemented
169#65315C2211yescharacteristic, complemented
170C4×#688C2211yescharacteristic, complemented
171C4×#688C2211yescharacteristic, complemented
172C4×#688C2211yescharacteristic, complemented
173#65308C2211yescharacteristic, complemented
174#65305C2211yescharacteristic, complemented
175#65303C2211yescharacteristic, complemented
176C4×#686C2211yescharacteristic, complemented
177#65301C2211yescharacteristic, complemented
178#65301C2211yescharacteristic, complemented
179#65300C2211yescharacteristic, complemented
180#65300C2211yescharacteristic, complemented
181#65300C2211yescharacteristic, complemented
182#65300C2211yescharacteristic, complemented
183D4×#168C2211yescharacteristic, complemented
184D4×#168C2211yescharacteristic, complemented
185#65292C2211yescharacteristic, complemented
186#65291C2211yescharacteristic, complemented
187#65291C2211yescharacteristic, complemented
188#65291C2211yescharacteristic, complemented
189#65290C2211yescharacteristic, complemented
190#65289C2211yescharacteristic, complemented
191#65289C2211yescharacteristic, complemented
192#65285C2211yescharacteristic, complemented
193#65285C2211yescharacteristic, complemented
194#65285C2211yescharacteristic, complemented
195#65260C2211yescharacteristic, complemented
196#65260C2211yescharacteristic, complemented
197#65259C2211yescharacteristic, complemented
198#65256C2211yescharacteristic, complemented
199#65255C2211yescharacteristic, complemented
200#65255C2211yescharacteristic, complemented
201#65255C2211yescharacteristic, complemented
202C2×#3941C2211yescharacteristic, complemented
203#61613—51nomaximal, Sylow
204C2×C5×#41C2311yescharacteristic
205C2×C5×#41C2311yescharacteristic
206C2×C5×#41C2311yescharacteristic
207C22×C5×Q8C2311yescharacteristic
208C22×C5×Q8C2311yescharacteristic
209C23×C4×C5C2311yescharacteristic
210C22×C22⋊D5—21no—
211#4149—42no—
212#4149—42no—
213C2×#713—21no—
214C2×D4×D5—21no—
215C2×D4×D5—21no—
216C2×D4×D5—21no—
217C2×#709—21no—
218C2×#709—21no—
219C2×#709—42no—
220C2×#709—42no—
221C2×#709C2311yescharacteristic
222C2×#709C2311yescharacteristic
223C2×#709C2311yescharacteristic
224C2×#709C2311yescharacteristic
225C2×#709C2311yescharacteristic
226C2×#709C2311yescharacteristic
227C2×#709C2311yescharacteristic
228C22×D20C2311yescharacteristic
229C22×D20C2311yescharacteristic
230C22×D20C2311yescharacteristic
231C22×C4×D5—21no—
232C22×Dic10C2311yescharacteristic
233C5×C4⋊Q8—21no—
234C5×C4⋊Q8—21no—
235C5×C4⋊Q8C2311yescharacteristic
236C5×C4⋊Q8C2311yescharacteristic
237C5×#126—21no—
238C5×#126—21no—
239C5×#126—21no—
240C5×#126—21no—
241C5×#126—21no—
242C5×#126—21no—
243C5×#126—21no—
244C5×#125—21no—
245C5×#125—21no—
246C5×#125—21no—
247C5×#125—21no—
248C5×#125C2311yescharacteristic
249C5×#124—21no—
250C5×#124—21no—
251C5×#124—21no—
252C5×#124—21no—
253C5×#124—21no—
254C5×#124C2311yescharacteristic
255C5×#123—21no—
256C5×#123—21no—
257C5×#123—21no—
258C5×#123—21no—
259C5×#123—21no—
260C5×#123—21no—
261C5×#123—21no—
262C5×#123—21no—
263C5×#123D411yescharacteristic
264C5×#123D411yescharacteristic
265C5×C22⋊Q8—21no—
266C5×C22⋊Q8—21no—
267C5×C22⋊Q8—21no—
268C5×C22⋊Q8—21no—
269C5×C22⋊Q8—21no—
270C5×C22⋊Q8—21no—
271C5×C22⋊Q8—21no—
272C5×C22⋊Q8—21no—
273C5×C22⋊Q8—21no—
274C5×C22⋊Q8—21no—
275C5×C22⋊Q8D411yescharacteristic
276C5×C22⋊Q8D411yescharacteristic
277C5×C22⋊Q8C2311yescharacteristic
278C5×C22⋊Q8C2311yescharacteristic
279C5×C22⋊Q8C2311yescharacteristic
280C5×C22⋊Q8C2311yescharacteristic
281C5×C22⋊Q8C2311yescharacteristic
282C5×C22⋊Q8C2311yescharacteristic
283C5×C22⋊Q8C2311yescharacteristic
284C5×C22⋊Q8C2311yescharacteristic
285C5×C22⋊Q8C2311yescharacteristic
286C5×#121—21no—
287C5×#121—21no—
288C5×#121—21no—
289C5×#121—21no—
290C5×#121—21no—
291C5×#121—21no—
292C5×#121—21no—
293C5×#121D411yescharacteristic
294C5×#121D411yescharacteristic
295C5×#121C2311yescharacteristic
296C5×#121C2311yescharacteristic
297C5×#121C2311yescharacteristic
298C5×#120—21no—
299C5×#120D411yescharacteristic
300C5×#120D411yescharacteristic
301C4×C5×Q8—21no—
302C4×C5×Q8C2311yescharacteristic
303C4×C5×Q8C2311yescharacteristic
304C4×C5×Q8C2311yescharacteristic
305C4×C5×D4—21no—
306C4×C5×D4—21no—
307C4×C5×D4—21no—
308C4×C5×D4—21no—
309C4×C5×D4—21no—
310C4×C5×D4—21no—
311C4×C5×D4—21no—
312C4×C5×D4C2311yescharacteristic
313C4×C5×D4C2311yescharacteristic
314C4×C5×D4C2311yescharacteristic
315C4×C5×D4C2311yescharacteristic
316C4×C5×D4C2311yescharacteristic
317C5×#117—21no—
318C5×#117C2311yescharacteristic
319C5×#117C2311yescharacteristic
320C5×#117C2311yescharacteristic
321C2×C5×C4⋊C4—21no—
322C2×C5×C4⋊C4—21no—
323C2×C5×C4⋊C4C2311yescharacteristic
324C2×C5×C4⋊C4C2311yescharacteristic
325C2×C5×C22⋊C4—21no—
326#4099—21no—
327#4096—42no—
328#4096—42no—
329#4096—42no—
330#4095—42no—
331#4090—21no—
332C2×#689C2311yescharacteristic
333C2×#689C2311yescharacteristic
334C2×#689C2311yescharacteristic
335C2×#689C2311yescharacteristic
336C2×#689C2311yescharacteristic
337C2×#689C2311yescharacteristic
338C2×#689C2311yescharacteristic
339C2×#689C2311yescharacteristic
340C2×#689C2311yescharacteristic
341#4088—42no—
342#4088—42no—
343#4088—42no—
344C2×#688—42no—
345C2×#688C2311yescharacteristic
346C2×#688C2311yescharacteristic
347C2×#688C2311yescharacteristic
348C2×#688C2311yescharacteristic
349C2×#688C2311yescharacteristic
350C2×#688C2311yescharacteristic
351C2×#688C2311yescharacteristic
352C2×#688C2311yescharacteristic
353C2×#688C2311yescharacteristic
354#4084—21no—
355#4084—21no—
356#4084—21no—
357#4084—21no—
358#4083—21no—
359#4083—21no—
360#4083—21no—
361#4083—21no—
362#4082—21no—
363#4081—21no—
364#4081—21no—
365C2×#687C2311yescharacteristic
366C2×#687C2311yescharacteristic
367C2×#687C2311yescharacteristic
368C2×#686C2311yescharacteristic
369C2×#686C2311yescharacteristic
370C2×#686C2311yescharacteristic
371#4076C2311yescharacteristic
372#4076C2311yescharacteristic
373#4075—21no—
374C4×C22⋊D5—21no—
375C4×C22⋊D5—21no—
376#4072C2311yescharacteristic
377#4070C2311yescharacteristic
378#4070C2311yescharacteristic
379#4070C2311yescharacteristic
380#4070C2311yescharacteristic
381#4070C2311yescharacteristic
382#4070C2311yescharacteristic
383C2×#681C2311yescharacteristic
384C2×#681C2311yescharacteristic
385C2×#681C2311yescharacteristic
386C2×#681C2311yescharacteristic
387C22×#168C2311yescharacteristic
388C22×#168C2311yescharacteristic
389C22×#168C2311yescharacteristic
390C22×#168C2311yescharacteristic
391#4043—21no—
392#4043—21no—
393#4040—21no—
394#4040—21no—
395#4040—21no—
396#4040—21no—
397#4039—21no—
398#4039—21no—
399D5×C4⋊C4—21no—
400D5×C4⋊C4—21no—
401D5×C4⋊C4—21no—
402D5×C4⋊C4—21no—
403#4032—21no—
404#4032—21no—
405#4030—21no—
406#4030—21no—
407#4030—21no—
408#4030—21no—
409#4029—21no—
410#4029—21no—
411#4029—21no—
412#4029—21no—
413#4029—21no—
414#4029—21no—
415#4029—21no—
416#4029—21no—
417D5×C22⋊C4—21no—
418D5×C22⋊C4—21no—
419D5×C22⋊C4—21no—
420D5×C22⋊C4—21no—
421D5×C22⋊C4—21no—
422D5×C22⋊C4—21no—
423#4021C2311yescharacteristic
424#4021C2311yescharacteristic
425C4×D20C2311yescharacteristic
426C4×D20C2311yescharacteristic
427C4×D20C2311yescharacteristic
428C4×D20C2311yescharacteristic
429#4015C2311yescharacteristic
430#4015C2311yescharacteristic
431#3967C2311yescharacteristic
432#3967C2311yescharacteristic
433#3967C2311yescharacteristic
434#3967C2311yescharacteristic
435#3967C2311yescharacteristic
436#3967C2311yescharacteristic
437#3964C2311yescharacteristic
438#3964C2311yescharacteristic
439C22⋊#168C2311yescharacteristic
440C22⋊#168C2311yescharacteristic
441C22⋊#168C2311yescharacteristic
442C22⋊#168C2311yescharacteristic
443C22⋊#168C2311yescharacteristic
444C22⋊#168C2311yescharacteristic
445C22⋊#168C2311yescharacteristic
446C22⋊#168C2311yescharacteristic
447C22⋊#168C2311yescharacteristic
448C22⋊#168C2311yescharacteristic
449C22⋊#168C2311yescharacteristic
450C22⋊#168C2311yescharacteristic
451#3942C2311yescharacteristic
452#3942C2311yescharacteristic
453#3942C2311yescharacteristic
454#3942C2311yescharacteristic
455#3942C2311yescharacteristic
456#3942C2311yescharacteristic
457#3942C2311yescharacteristic
458#3942C2311yescharacteristic
459#3942C2311yescharacteristic
460#3942C2311yescharacteristic
461#3942C2311yescharacteristic
462#3942C2311yescharacteristic
463#3941C2311yescharacteristic
464#3941C2311yescharacteristic
465#3941C2311yescharacteristic
466#3941C2311yescharacteristic
467#3941C2311yescharacteristic
468#3941C2311yescharacteristic
469#3941C2311yescharacteristic
470#3941C2311yescharacteristic
471#3941C2311yescharacteristic
472#3941C2311yescharacteristic
473#3941C2311yescharacteristic
474#3941C2311yescharacteristic
475#3940C2311yescharacteristic
476#3940C2311yescharacteristic
477#3940C2311yescharacteristic
478#3940C2311yescharacteristic
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#3541D511yescharacteristic, complemented
492#3485—51no—
493#3331—51no—
494#3322—51no—
495#3315—51no—
496#3314—51no—
497#3311—51no—
498#3307—51no—
499#3302—51no—
500#3296—51no—
501#3283—51no—
502#3282—51no—
503#3276—51no—
504#3275—51no—
505#3269—51no—
506#3269—51no—
507#3267—51no—
508#3266—51no—
509#3225—51no—
510#3223—51no—
511#3202—51no—
512#3201—51no—
513#3197—51no—
514#3190—51no—
515#3123—51no—
516#3118—51no—
517#3012—51no—
518#3009—51no—
519#3007—51no—
520#3002—51no—
521#2976—51no—
522C24×C5C2×D411yescharacteristic
523C23×D5—21no—
524C23×D5—21no—
525C23×D5—21no—
526C5×#41—41no—
527C5×#41—41no—
528C5×#41—41no—
529C5×#41—41no—
530C5×#41—41no—
531C5×#41—41no—
532C2×C5×Q8—21no—
533C2×C5×Q8—21no—
534C2×C5×Q8—21no—
535C2×C5×Q8—41no—
536C2×C5×Q8—41no—
537C2×C5×Q8—41no—
538C2×C5×Q8—41no—
539C2×C5×Q8C2×D411yescharacteristic
540C2×C5×Q8C2411yescharacteristic
541C2×C5×Q8C2411yescharacteristic
542C2×C5×Q8C2411yescharacteristic
543C2×C5×D4—21no—
544C2×C5×D4—21no—
545C2×C5×D4—21no—
546C2×C5×D4—21no—
547C2×C5×D4—21no—
548C2×C5×D4C2×D411yescharacteristic
549C2×C5×D4C2×D411yescharacteristic
550C2×C5×D4C2×D411yescharacteristic
551C2×C5×D4C2×D411yescharacteristic
552C2×C5×D4C2×D411yescharacteristic
553C2×C5×D4C2×D411yescharacteristic
554C2×C5×D4C2×D411yescharacteristic
555C2×C5×D4C2411yescharacteristic
556C22×C4×C5—21no—
557C22×C4×C5—21no—
558C22×C4×C5—21no—
559C22×C4×C5—21no—
560C22×C4×C5—21no—
561C22×C4×C5—21no—
562C22×C4×C5—21no—
563C22×C4×C5—41no—
564C22×C4×C5—41no—
565C22×C4×C5C2×D411yescharacteristic
566C22×C4×C5C2×D411yescharacteristic
567C22×C4×C5C2×D411yescharacteristic
568C22×C4×C5C2411yescharacteristic
569C22×C4×C5C2411yescharacteristic
570C22×C4×C5C2411yescharacteristic
571C22×C4×C5C2411yescharacteristic
572C22×C4×C5C2411yescharacteristic
573C2×C22⋊D5—21no—
574C2×C22⋊D5—21no—
575C2×C22⋊D5—21no—
576C2×C22⋊D5—21no—
577C2×C22⋊D5—21no—
578C2×C22⋊D5—21no—
579C2×C22⋊D5—21no—
580C2×C22⋊D5—21no—
581C2×C22⋊D5—21no—
582C2×C22⋊D5—44no—
583C22×Dic5—21no—
584#713—44no—
585D4×D5—44no—
586D4×D5—44no—
587D4×D5—44no—
588#709—22no—
589#709—22no—
590#709—22no—
591#709—22no—
592#709—22no—
593#709—22no—
594#709—41no—
595#709—41no—
596#709—41no—
597#709—41no—
598#709—41no—
599#709—41no—
600#709—41no—
601#709—41no—
602#709—44no—
603#709—44no—
604C2×D20—21no—
605C2×D20—22no—
606C2×D20—22no—
607C2×D20—22no—
608C2×D20—22no—
609C2×D20—21no—
610C2×D20—21no—
611C2×D20—41no—
612C2×D20—41no—
613C2×D20C2411yescharacteristic
614C2×D20C2411yescharacteristic
615C2×D20C2411yescharacteristic
616C2×C4×D5—21no—
617C2×C4×D5—21no—
618C2×C4×D5—21no—
619C2×C4×D5—21no—
620C2×C4×D5—21no—
621C2×C4×D5—21no—
622C2×C4×D5—21no—
623C2×C4×D5—21no—
624C2×C4×D5—21no—
625C2×C4×D5—21no—
626C2×C4×D5—21no—
627C2×C4×D5—44no—
628C2×Dic10—21no—
629C2×Dic10—41no—
630C2×Dic10—41no—
631C2×Dic10C2411yescharacteristic
632C2×Dic10C2411yescharacteristic
633C2×Dic10C2411yescharacteristic
634C5×C4⋊C4—21no—
635C5×C4⋊C4—21no—
636C5×C4⋊C4—21no—
637C5×C4⋊C4—21no—
638C5×C4⋊C4—21no—
639C5×C4⋊C4—21no—
640C5×C4⋊C4—21no—
641C5×C4⋊C4—21no—
642C5×C4⋊C4—21no—
643C5×C4⋊C4—21no—
644C5×C4⋊C4—21no—
645C5×C4⋊C4—21no—
646C5×C4⋊C4—21no—
647C5×C4⋊C4—21no—
648C5×C4⋊C4—21no—
649C5×C4⋊C4—21no—
650C5×C4⋊C4—21no—
651C5×C4⋊C4—21no—
652C5×C4⋊C4—21no—
653C5×C4⋊C4C2×D411yescharacteristic
654C5×C4⋊C4C2×D411yescharacteristic
655C5×C4⋊C4C2×D411yescharacteristic
656C5×C4⋊C4C2×D411yescharacteristic
657C5×C4⋊C4C2×D411yescharacteristic
658C5×C4⋊C4C2×D411yescharacteristic
659C5×C4⋊C4C2411yescharacteristic
660C5×C4⋊C4C2411yescharacteristic
661C5×C4⋊C4C2411yescharacteristic
662C5×C4⋊C4C2411yescharacteristic
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⋊C4—21no—
672C5×C22⋊C4—21no—
673C5×C22⋊C4—21no—
674C5×C22⋊C4—21no—
675C5×C22⋊C4—21no—
676C5×C22⋊C4—21no—
677C5×C22⋊C4—21no—
678C5×C22⋊C4—21no—
679C5×C22⋊C4—21no—
680C5×C22⋊C4C2×D411yescharacteristic
681C5×C22⋊C4C2×D411yescharacteristic
682C5×C22⋊C4C2×D411yescharacteristic
683C5×C22⋊C4C2×D411yescharacteristic
684C5×C22⋊C4C2×D411yescharacteristic
685C5×C22⋊C4C2×D411yescharacteristic
686C5×C22⋊C4C2×D411yescharacteristic
687C5×C22⋊C4C2×D411yescharacteristic
688C5×C22⋊C4C2×D411yescharacteristic
689C5×C22⋊C4C2×D411yescharacteristic
690C42×C5—21no—
691C42×C5—21no—
692C42×C5—21no—
693C42×C5—21no—
694C42×C5—21no—
695C42×C5C2411yescharacteristic
696C42×C5C2411yescharacteristic
697C22⋊Dic5—21no—
698C22⋊Dic5—21no—
699C22⋊Dic5—21no—
700C22⋊Dic5—21no—
701C22⋊Dic5—21no—
702C22⋊Dic5—21no—
703C22⋊Dic5—21no—
704#689—41no—
705#689—41no—
706#689—41no—
707#689—41no—
708#689—41no—
709#689—41no—
710#689—41no—
711#689—41no—
712#689—41no—
713#688—22no—
714#688—22no—
715#688—22no—
716#688—22no—
717#688—22no—
718#688—22no—
719#688—41no—
720#688—41no—
721#688—41no—
722#687—41no—
723#687—41no—
724#687—41no—
725#686—22no—
726#686—22no—
727#686—41no—
728#685—21no—
729#685—21no—
730#685—21no—
731#685—21no—
732#685—21no—
733#685—21no—
734#685—21no—
735#685—21no—
736#685—21no—
737#685—21no—
738C4⋊Dic5—21no—
739C4⋊Dic5—21no—
740C4⋊Dic5—21no—
741C4⋊Dic5—21no—
742C4⋊Dic5C2411yescharacteristic
743C4⋊Dic5C2411yescharacteristic
744#683—21no—
745#683—21no—
746#683—21no—
747#683—21no—
748#683—21no—
749#683—21no—
750C4×Dic5—21no—
751#681—41no—
752#681—41no—
753#681—41no—
754#681—41no—
755C2×#168—41no—
756C2×#168—41no—
757C2×#168—41no—
758C2×#168—41no—
759C2×#168C2411yescharacteristic
760C2×#168C2411yescharacteristic
761C2×#168C2411yescharacteristic
762C2×#168C2411yescharacteristic
763C2×#168C2411yescharacteristic
764C2×#168C2411yescharacteristic
765C2×#168C2411yescharacteristic
766C2×#168C2411yescharacteristic
767C2×H(5,𝔽2)—51no—
768C22×#41—51no—
769C2×#137—51no—
770C2×#137—51no—
771C2×#137—51no—
772C2×AGL(1,ℤ/8)—51no—
773C2×#135—51no—
774C2×#135—51no—
775C2×#135—51no—
776C22×SD16—51no—
777#563—21no—
778#562—21no—
779#556C2×D511yescharacteristic, complemented
780#554—21no—
781#554C2×D511yescharacteristic, complemented
782#553—21no—
783#553C2×D511yescharacteristic, complemented
784#552C2×D511yescharacteristic, complemented
785D4×Q8C2×D511yescharacteristic, complemented
786#548C2×D511yescharacteristic, complemented
787#548C2×D511yescharacteristic, complemented
788#547—51no—
789#547—51no—
790#547—51no—
791#547—51no—
792#547—101no—
793#547—101no—
794#547C2×D511yescharacteristic, complemented
795#546—51no—
796#546—51no—
797#546—51no—
798#546—51no—
799#546—101no—
800#546—101no—
801#542—21no—
802#542C2×D511yescharacteristic, complemented
803#541C2×D511yescharacteristic, complemented
804#539—21no—
805#538—21no—
806#538—21no—
807#537C2×D511yescharacteristic
808#536—51no—
809#536—51no—
810#536C2×D511yescharacteristic
811#534—101no—
812#534—101no—
813#525—51no—
814#525C2×D511yescharacteristic
815#525C2×D511yescharacteristic, complemented
816C2×#123—101no—
817C2×#123—101no—
818C2×C22⋊Q8C2×D511yescharacteristic, complemented
819#518—51no—
820#497—51no—
821#497—51no—
822#495—51no—
823#494—51no—
824#491—51no—
825#489—51no—
826#488—51no—
827#487—51no—
828#485—51no—
829#485—51no—
830#485—51no—
831#485—51no—
832#485—51no—
833#485—51no—
834#484—51no—
835#483—51no—
836#483—51no—
837#482—51no—
838#482—51no—
839#480—51no—
840#478—51no—
841#478—51no—
842#476—51no—
843#474—51no—
844#470—51no—
845#470—51no—
846#470—51no—
847#470—51no—
848#469—51no—
849#468—51no—
850#468—51no—
851#468—51no—
852#467—51no—
853#467—51no—
854#467—51no—
855#467—51no—
856#467—51no—
857#465—51no—
858#465—51no—
859#465—51no—
860#464—51no—
861#464—51no—
862#464—51no—
863#463—51no—
864#463—51no—
865#463—51no—
866#462—51no—
867#462—51no—
868#462—51no—
869#461—51no—
870#461—51no—
871#461—51no—
872#452—51no—
873#452—51no—
874#452—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#451—51no—
891#451—51no—
892#451—51no—
893#450—51no—
894#450—51no—
895#450—51no—
896#450—51no—
897#450—51no—
898#450—51no—
899#449—51no—
900#449—51no—
901#449—51no—
902#449—51no—
903#449—51no—
904#448—51no—
905#448—51no—
906#447—51no—
907#447—51no—
908#442—51no—
909#440—51no—
910#440—51no—
911#440—51no—
912C4×SD16—51no—
913C4×SD16—51no—
914C4×SD16—51no—
915C4×D8—51no—
916#436—51no—
917#436—51no—
918#435—51no—
919#435—51no—
920#435—51no—
921#435—51no—
922C8×D4—51no—
923C8×D4—51no—
924#433—51no—
925#433—51no—
926#418—51no—
927#417—51no—
928#417—51no—
929#417—51no—
930#416—51no—
931#416—51no—
932#416—51no—
933C2×#102—51no—
934#408—51no—
935#408—51no—
936#407—51no—
937C2×C22⋊C8—51no—
938C23×C5—21no—
939C23×C5—41no—
940C23×C5—41no—
941C23×C5—41no—
942C23×C5C22×D411yescharacteristic
943C23×C5C22×D411yescharacteristic
944C23×C5C22×D411yescharacteristic
945C23×C5C22×D411yescharacteristic
946C23×C5C22×D411yescharacteristic
947C22×D5—21no—
948C22×D5—21no—
949C22×D5—24no—
950C22×D5—21no—
951C22×D5—42no—
952C22×D5—42no—
953C22×D5—81no—
954C22×D5—81no—
955C22×D5—81no—
956C22×D5—81no—
957C22×D5—81no—
958C22×D5—81no—
959C5×Q8—21no—
960C5×Q8—21no—
961C5×Q8—21no—
962C5×Q8—21no—
963C5×Q8—21no—
964C5×Q8—21no—
965C5×Q8—41no—
966C5×Q8—81no—
967C5×Q8—81no—
968C5×Q8—81no—
969C5×D4—21no—
970C5×D4—21no—
971C5×D4—41no—
972C5×D4—41no—
973C5×D4—41no—
974C5×D4—41no—
975C5×D4—41no—
976C5×D4—41no—
977C5×D4—41no—
978C5×D4—42no—
979C5×D4—81no—
980C5×D4—81no—
981C5×D4—81no—
982C5×D4—81no—
983C2×C4×C5—21no—
984C2×C4×C5—21no—
985C2×C4×C5—21no—
986C2×C4×C5—21no—
987C2×C4×C5—21no—
988C2×C4×C5—21no—
989C2×C4×C5—21no—
990C2×C4×C5—21no—
991C2×C4×C5—21no—
992C2×C4×C5—21no—
993C2×C4×C5—21no—
994C2×C4×C5—21no—
995C2×C4×C5—21no—
996C2×C4×C5—21no—
997C2×C4×C5—21no—
998C2×C4×C5—21no—
999C2×C4×C5—21no—
1000C2×C4×C5—41no—
1001C2×C4×C5—41no—
1002C2×C4×C5—41no—
1003C2×C4×C5—81no—
1004C2×C4×C5—81no—
1005C2×C4×C5—81no—
1006C2×C4×C5—81no—
1007C2×C4×C5—81no—
1008C2×C4×C5—81no—
1009C2×C4×C5—81no—
1010C2×C4×C5C22×D411yescharacteristic
1011C2×C4×C5C22×D411yescharacteristic
1012C2×C4×C5C22×D411yescharacteristic
1013C2×C4×C5C22×D411yescharacteristic
1014C2×C4×C5C22×D411yescharacteristic
1015C2×C4×C5C22×D411yescharacteristic
1016C2×C4×C5C22×D411yescharacteristic
1017C2×C4×C5C22×D411yescharacteristic
1018C2×C4×C5C22×D411yescharacteristic
1019C2×C4×C5C2511yescharacteristic
1020C22⋊D5—42no—
1021C22⋊D5—42no—
1022C22⋊D5—42no—
1023C22⋊D5—42no—
1024C22⋊D5—42no—
1025C22⋊D5—42no—
1026C22⋊D5—42no—
1027C22⋊D5—81no—
1028C22⋊D5—81no—
1029C2×Dic5—21no—
1030C2×Dic5—21no—
1031C2×Dic5—21no—
1032C2×Dic5—21no—
1033C2×Dic5—21no—
1034C2×Dic5—42no—
1035D20—24no—
1036D20—21no—
1037D20—21no—
1038D20—21no—
1039D20—21no—
1040D20—42no—
1041D20—42no—
1042D20H(5,𝔽2)12yes—
1043D20H(5,𝔽2)12yes—
1044C4×D5—42no—
1045C4×D5—42no—
1046C4×D5—42no—
1047C4×D5—42no—
1048C4×D5—42no—
1049C4×D5—42no—
1050C4×D5—42no—
1051C4×D5—81no—
1052C4×D5—81no—
1053C4×D5—81no—
1054C4×D5—81no—
1055Dic10—21no—
1056Dic10—21no—
1057Dic10—21no—
1058Dic10—21no—
1059Dic10—21no—
1060Dic10—21no—
1061Dic10—42no—
1062#168—21no—
1063#168—21no—
1064#168—21no—
1065#168—21no—
1066#168—21no—
1067#168—21no—
1068#168—21no—
1069#168—21no—
1070H(5,𝔽2)—202no—
1071H(5,𝔽2)—202no—
1072C2×#41—51no—
1073C2×#41—51no—
1074C2×#41—51no—
1075C2×#41—51no—
1076C2×#41—51no—
1077C2×#41—51no—
1078C2×#41—51no—
1079C2×#41—101no—
1080C2×#41—101no—
1081C2×#41—101no—
1082C2×#41—202no—
1083C2×#41—202no—
1084C2×#41C22×D511yescharacteristic
1085C2×#41C22×D511yescharacteristic
1086C2×#41C22×D511yescharacteristic
1087C22×Q8—51no—
1088C22×Q8C22×D511yescharacteristic
1089C22×Q8C22×D511yescharacteristic
1090C22×D4—51no—
1091C22×D4—51no—
1092C22×D4—51no—
1093C22×D4—101no—
1094C22×D4—101no—
1095C22×D4—101no—
1096C22×D4—101no—
1097C23×C4—101no—
1098C23×C4C22×D511yescharacteristic
1099#137—202no—
1100#137—202no—
1101#137—202no—
1102AGL(1,ℤ/8)—202no—
1103#135—202no—
1104#135—202no—
1105#135—202no—
1106C2×Q16—51no—
1107C2×Q16—51no—
1108C2×Q16—51no—
1109C2×Q16—51no—
1110C2×Q16—51no—
1111C2×Q16—51no—
1112C2×Q16—51no—
1113C2×Q16—51no—
1114C2×Q16—51no—
1115C2×SD16—51no—
1116C2×SD16—51no—
1117C2×SD16—51no—
1118C2×SD16—51no—
1119C2×SD16—51no—
1120C2×SD16—51no—
1121C2×SD16—51no—
1122C2×SD16—51no—
1123C2×SD16—51no—
1124C2×SD16—51no—
1125C2×SD16—51no—
1126C2×SD16—51no—
1127C2×SD16—202no—
1128C2×D8—51no—
1129C2×D8—51no—
1130C2×D8—51no—
1131C2×M16—51no—
1132C2×M16—51no—
1133C2×M16—51no—
1134C2×M16—51no—
1135C22×C8—51no—
1136C22×C8—51no—
1137C22×C8—51no—
1138C22×C8—51no—
1139C4⋊Q8—21no—
1140C4⋊Q8—21no—
1141C4⋊Q8—51no—
1142C4⋊Q8—51no—
1143C4⋊Q8—101no—
1144C4⋊Q8C22×D511yescharacteristic
1145C4⋊Q8C22×D511yescharacteristic
1146#126—21no—
1147#126—21no—
1148#126—21no—
1149#126—21no—
1150#126—21no—
1151#126—21no—
1152#126—21no—
1153#125—21no—
1154#125—21no—
1155#125—21no—
1156#125—21no—
1157#125C22×D511yescharacteristic
1158#124—21no—
1159#124—21no—
1160#124—21no—
1161#124—21no—
1162#124—21no—
1163#124—51no—
1164#124—51no—
1165#124—101no—
1166#124C22×D511yescharacteristic
1167#123—21no—
1168#123—21no—
1169#123—21no—
1170#123—21no—
1171#123—21no—
1172#123—21no—
1173#123—21no—
1174#123—21no—
1175#123—101no—
1176#123—101no—
1177#123—101no—
1178#123—101no—
1179#123—101no—
1180#123—101no—
1181#123—101no—
1182#123—101no—
1183#123—101no—
1184#123—101no—
1185#123—101no—
1186#123—101no—
1187#123—101no—
1188#123—101no—
1189#123—101no—
1190#123—101no—
1191#123—101no—
1192#123C22⋊D511yescharacteristic
1193#123C22⋊D511yescharacteristic
1194C22⋊Q8—21no—
1195C22⋊Q8—21no—
1196C22⋊Q8—21no—
1197C22⋊Q8—21no—
1198C22⋊Q8—21no—
1199C22⋊Q8—21no—
1200C22⋊Q8—21no—
1201C22⋊Q8—21no—
1202C22⋊Q8—21no—
1203C22⋊Q8—21no—
1204C22⋊Q8—51no—
1205C22⋊Q8—51no—
1206C22⋊Q8—51no—
1207C22⋊Q8—51no—
1208C22⋊Q8—51no—
1209C22⋊Q8—51no—
1210C22⋊Q8—101no—
1211C22⋊Q8—101no—
1212C22⋊Q8C22⋊D511yescharacteristic
1213C22⋊Q8C22⋊D511yescharacteristic
1214C22⋊Q8C22×D511yescharacteristic
1215C22⋊Q8C22×D511yescharacteristic
1216C22⋊Q8C22×D511yescharacteristic
1217C22⋊Q8C22×D511yescharacteristic
1218C22⋊Q8C22×D511yescharacteristic
1219C22⋊Q8C22×D511yescharacteristic
1220C22⋊Q8C22×D511yescharacteristic
1221C22⋊Q8C22×D511yescharacteristic
1222C22⋊Q8C22×D511yescharacteristic
1223#121—21no—
1224#121—21no—
1225#121—21no—
1226#121—21no—
1227#121—21no—
1228#121—21no—
1229#121—21no—
1230#121—51no—
1231#121—51no—
1232#121—101no—
1233#121—101no—
1234#121—101no—
1235#121—101no—
1236#121—101no—
1237#121—101no—
1238#121—101no—
1239#121—101no—
1240#121C22⋊D511yescharacteristic
1241#121C22⋊D511yescharacteristic
1242#121C22×D511yescharacteristic
1243#121C22×D511yescharacteristic
1244#121C22×D511yescharacteristic
1245#120—21no—
1246#120—101no—
1247#120—101no—
1248#120—101no—
1249#120—101no—
1250#120—101no—
1251#120C22⋊D511yescharacteristic
1252#120C22⋊D511yescharacteristic
1253C4×Q8—21no—
1254C4×Q8C22×D511yescharacteristic
1255C4×Q8C22×D511yescharacteristic
1256C4×Q8C22×D511yescharacteristic
1257C4×D4—21no—
1258C4×D4—21no—
1259C4×D4—21no—
1260C4×D4—21no—
1261C4×D4—21no—
1262C4×D4—21no—
1263C4×D4—21no—
1264C4×D4—51no—
1265C4×D4—51no—
1266C4×D4—51no—
1267C4×D4—51no—
1268C4×D4—101no—
1269C4×D4—101no—
1270C4×D4—101no—
1271C4×D4—101no—
1272C4×D4C22×D511yescharacteristic
1273C4×D4C22×D511yescharacteristic
1274C4×D4C22×D511yescharacteristic
1275C4×D4C22×D511yescharacteristic
1276C4×D4C22×D511yescharacteristic
1277#117—21no—
1278#117—51no—
1279#117C22×D511yescharacteristic
1280#117C22×D511yescharacteristic
1281#117C22×D511yescharacteristic
1282C2×C4⋊C4—21no—
1283C2×C4⋊C4—21no—
1284C2×C4⋊C4—101no—
1285C2×C4⋊C4—101no—
1286C2×C4⋊C4—101no—
1287C2×C4⋊C4—101no—
1288C2×C4⋊C4C22×D511yescharacteristic
1289C2×C4⋊C4C22×D511yescharacteristic
1290C2×C22⋊C4—21no—
1291C2×C22⋊C4—101no—
1292C2×C22⋊C4—101no—
1293C2×C22⋊C4—101no—
1294C2×C22⋊C4—101no—
1295C2×C22⋊C4—101no—
1296C2×C22⋊C4—101no—
1297#107—51no—
1298#107—51no—
1299#107—51no—
1300#107—51no—
1301#106—51no—
1302#106—51no—
1303#106—51no—
1304#106—51no—
1305C4⋊C8—51no—
1306C4⋊C8—51no—
1307C4⋊C8—51no—
1308C4⋊C8—51no—
1309#103—51no—
1310#103—51no—
1311#103—51no—
1312#103—51no—
1313#103—51no—
1314#103—51no—
1315#103—51no—
1316#103—51no—
1317#103—51no—
1318#103—51no—
1319#103—51no—
1320#103—51no—
1321#103—51no—
1322#103—51no—
1323#103—51no—
1324#103—51no—
1325#103—51no—
1326#103—51no—
1327#102—51no—
1328#102—51no—
1329#102—51no—
1330#102—51no—
1331#102—51no—
1332#102—51no—
1333#102—51no—
1334#102—51no—
1335#102—51no—
1336#102—51no—
1337#102—51no—
1338#102—51no—
1339#102—51no—
1340#102—51no—
1341C22⋊C8—51no—
1342C22⋊C8—51no—
1343C22⋊C8—51no—
1344C22⋊C8—51no—
1345C22⋊C8—51no—
1346C22⋊C8—51no—
1347C22⋊C8—51no—
1348C22⋊C8—51no—
1349C22⋊C8—51no—
1350C22⋊C8—51no—
1351C22⋊C8—51no—
1352C22⋊C8—51no—
1353#97—51no—
1354#97—51no—
1355C4×C8—51no—
1356C4×C8—51no—
1357C22×C5—21no—
1358C22×C5—21no—
1359C22×C5—21no—
1360C22×C5—21no—
1361C22×C5—21no—
1362C22×C5—21no—
1363C22×C5—21no—
1364C22×C5—21no—
1365C22×C5—21no—
1366C22×C5—21no—
1367C22×C5—21no—
1368C22×C5—21no—
1369C22×C5—21no—
1370C22×C5—21no—
1371C22×C5—21no—
1372C22×C5—41no—
1373C22×C5—41no—
1374C22×C5—41no—
1375C22×C5—82no—
1376C22×C5C23×D411yescharacteristic
1377C2×D5—22no—
1378C2×D5—22no—
1379C2×D5—41no—
1380C2×D5—41no—
1381C2×D5—41no—
1382C2×D5—41no—
1383C2×D5—41no—
1384C2×D5—41no—
1385C2×D5—41no—
1386C2×D5—84no—
1387C2×D5—162no—
1388C2×D5—162no—
1389C4×C5—21no—
1390C4×C5—21no—
1391C4×C5—21no—
1392C4×C5—21no—
1393C4×C5—21no—
1394C4×C5—21no—
1395C4×C5—21no—
1396C4×C5—21no—
1397C4×C5—21no—
1398C4×C5—41no—
1399C4×C5—41no—
1400C4×C5—41no—
1401C4×C5—41no—
1402C4×C5—41no—
1403C4×C5—41no—
1404C4×C5—41no—
1405C4×C5C2×H(5,𝔽2)11yescharacteristic
1406C4×C5C2×H(5,𝔽2)11yescharacteristic
1407Dic5—41no—
1408Dic5—41no—
1409Dic5—41no—
1410Dic5—41no—
1411Dic5—41no—
1412C24—101no—
1413C24—101no—
1414C24—101no—
1415C24C2×C22⋊D511yescharacteristic
1416#41—41no—
1417#41—41no—
1418#41—41no—
1419#41—41no—
1420#41—41no—
1421#41—41no—
1422#41—102no—
1423#41—102no—
1424#41—102no—
1425#41—102no—
1426#41—102no—
1427#41—102no—
1428#41—201no—
1429#41—201no—
1430#41—201no—
1431#41—201no—
1432#41—201no—
1433#41—201no—
1434#41—201no—
1435#41—201no—
1436#41—204no—
1437#41—204no—
1438#41—204no—
1439C2×Q8—21no—
1440C2×Q8—21no—
1441C2×Q8—21no—
1442C2×Q8—41no—
1443C2×Q8—41no—
1444C2×Q8—41no—
1445C2×Q8—41no—
1446C2×Q8—51no—
1447C2×Q8—51no—
1448C2×Q8—51no—
1449C2×Q8—101no—
1450C2×Q8—201no—
1451C2×Q8—201no—
1452C2×Q8C2×C22⋊D511yescharacteristic
1453C2×Q8C23×D511yescharacteristic
1454C2×Q8C23×D511yescharacteristic
1455C2×Q8C23×D511yescharacteristic
1456C2×D4—21no—
1457C2×D4—21no—
1458C2×D4—21no—
1459C2×D4—21no—
1460C2×D4—21no—
1461C2×D4—51no—
1462C2×D4—51no—
1463C2×D4—51no—
1464C2×D4—102no—
1465C2×D4—102no—
1466C2×D4—102no—
1467C2×D4—102no—
1468C2×D4—101no—
1469C2×D4—101no—
1470C2×D4—101no—
1471C2×D4—101no—
1472C2×D4—101no—
1473C2×D4—101no—
1474C2×D4—101no—
1475C2×D4—101no—
1476C2×D4—101no—
1477C2×D4—101no—
1478C2×D4—101no—
1479C2×D4—101no—
1480C2×D4—201no—
1481C2×D4—201no—
1482C2×D4—204no—
1483C2×D4—204no—
1484C2×D4—204no—
1485C2×D4—204no—
1486C2×D4C2×C22⋊D511yescharacteristic
1487C2×D4C2×C22⋊D511yescharacteristic
1488C2×D4C2×C22⋊D511yescharacteristic
1489C2×D4C2×C22⋊D511yescharacteristic
1490C2×D4C2×C22⋊D511yescharacteristic
1491C2×D4C2×C22⋊D511yescharacteristic
1492C2×D4C2×C22⋊D511yescharacteristic
1493C2×D4C23×D511yescharacteristic
1494C22×C4—21no—
1495C22×C4—21no—
1496C22×C4—21no—
1497C22×C4—21no—
1498C22×C4—21no—
1499C22×C4—21no—
1500C22×C4—21no—
1501C22×C4—41no—
1502C22×C4—41no—
1503C22×C4—101no—
1504C22×C4—101no—
1505C22×C4—101no—
1506C22×C4—101no—
1507C22×C4—101no—
1508C22×C4—101no—
1509C22×C4—101no—
1510C22×C4—101no—
1511C22×C4—101no—
1512C22×C4—101no—
1513C22×C4—101no—
1514C22×C4—101no—
1515C22×C4—204no—
1516C22×C4C2×C22⋊D511yescharacteristic
1517C22×C4C2×C22⋊D511yescharacteristic
1518C22×C4C2×C22⋊D511yescharacteristic
1519C22×C4C23×D511yescharacteristic
1520C22×C4C23×D511yescharacteristic
1521C22×C4C23×D511yescharacteristic
1522C22×C4C23×D511yescharacteristic
1523C22×C4C23×D511yescharacteristic
1524Q16—201no—
1525Q16—201no—
1526Q16—201no—
1527Q16—201no—
1528Q16—201no—
1529Q16—201no—
1530Q16—201no—
1531Q16—201no—
1532Q16—201no—
1533SD16—102no—
1534SD16—102no—
1535SD16—102no—
1536SD16—102no—
1537SD16—102no—
1538SD16—102no—
1539SD16—201no—
1540SD16—201no—
1541SD16—201no—
1542SD16—201no—
1543SD16—201no—
1544SD16—201no—
1545D8—102no—
1546D8—102no—
1547D8—201no—
1548M16—201no—
1549M16—201no—
1550M16—201no—
1551M16—201no—
1552C2×C8—51no—
1553C2×C8—51no—
1554C2×C8—51no—
1555C2×C8—51no—
1556C2×C8—51no—
1557C2×C8—51no—
1558C2×C8—51no—
1559C2×C8—51no—
1560C2×C8—201no—
1561C2×C8—201no—
1562C2×C8—201no—
1563C2×C8—201no—
1564C4⋊C4—21no—
1565C4⋊C4—21no—
1566C4⋊C4—21no—
1567C4⋊C4—21no—
1568C4⋊C4—21no—
1569C4⋊C4—21no—
1570C4⋊C4—21no—
1571C4⋊C4—21no—
1572C4⋊C4—21no—
1573C4⋊C4—21no—
1574C4⋊C4—21no—
1575C4⋊C4—21no—
1576C4⋊C4—21no—
1577C4⋊C4—21no—
1578C4⋊C4—21no—
1579C4⋊C4—21no—
1580C4⋊C4—21no—
1581C4⋊C4—21no—
1582C4⋊C4—21no—
1583C4⋊C4—51no—
1584C4⋊C4—51no—
1585C4⋊C4—101no—
1586C4⋊C4—101no—
1587C4⋊C4—101no—
1588C4⋊C4—101no—
1589C4⋊C4—101no—
1590C4⋊C4—101no—
1591C4⋊C4—101no—
1592C4⋊C4—101no—
1593C4⋊C4—101no—
1594C4⋊C4—101no—
1595C4⋊C4C2×C22⋊D511yescharacteristic
1596C4⋊C4C2×C22⋊D511yescharacteristic
1597C4⋊C4C2×C22⋊D511yescharacteristic
1598C4⋊C4C2×C22⋊D511yescharacteristic
1599C4⋊C4C2×C22⋊D511yescharacteristic
1600C4⋊C4C2×C22⋊D511yescharacteristic
1601C4⋊C4C23×D511yescharacteristic
1602C4⋊C4C23×D511yescharacteristic
1603C4⋊C4C23×D511yescharacteristic
1604C4⋊C4C23×D511yescharacteristic
1605C22⋊C4—21no—
1606C22⋊C4—21no—
1607C22⋊C4—21no—
1608C22⋊C4—21no—
1609C22⋊C4—21no—
1610C22⋊C4—21no—
1611C22⋊C4—21no—
1612C22⋊C4—21no—
1613C22⋊C4—21no—
1614C22⋊C4—21no—
1615C22⋊C4—21no—
1616C22⋊C4—21no—
1617C22⋊C4—21no—
1618C22⋊C4—21no—
1619C22⋊C4—21no—
1620C22⋊C4—21no—
1621C22⋊C4—21no—
1622C22⋊C4—101no—
1623C22⋊C4—101no—
1624C22⋊C4—101no—
1625C22⋊C4—101no—
1626C22⋊C4—101no—
1627C22⋊C4—101no—
1628C22⋊C4—101no—
1629C22⋊C4—101no—
1630C22⋊C4—101no—
1631C22⋊C4—101no—
1632C22⋊C4—101no—
1633C22⋊C4—101no—
1634C22⋊C4—101no—
1635C22⋊C4—101no—
1636C22⋊C4—101no—
1637C22⋊C4—101no—
1638C22⋊C4—101no—
1639C22⋊C4C2×C22⋊D511yescharacteristic
1640C22⋊C4C2×C22⋊D511yescharacteristic
1641C22⋊C4C2×C22⋊D511yescharacteristic
1642C22⋊C4C2×C22⋊D511yescharacteristic
1643C22⋊C4C2×C22⋊D511yescharacteristic
1644C22⋊C4C2×C22⋊D511yescharacteristic
1645C22⋊C4C2×C22⋊D511yescharacteristic
1646C22⋊C4C2×C22⋊D511yescharacteristic
1647C22⋊C4C2×C22⋊D511yescharacteristic
1648C22⋊C4C2×C22⋊D511yescharacteristic
1649C42—21no—
1650C42—21no—
1651C42—21no—
1652C42—21no—
1653C42—21no—
1654C42—101no—
1655C42C23×D511yescharacteristic
1656C42C23×D511yescharacteristic
1657C2×C5—41no—
1658C2×C5—41no—
1659C2×C5—41no—
1660C2×C5—41no—
1661C2×C5—41no—
1662C2×C5—81no—
1663C2×C5#348411yescharacteristic
1664C2×C5#358411yescharacteristic
1665C2×C5#358611yescharacteristic
1666D5—42no—
1667D5—42no—
1668D5—81no—
1669C23—21no—
1670C23—41no—
1671C23—41no—
1672C23—41no—
1673C23—104no—
1674C23—101no—
1675C23—101no—
1676C23—101no—
1677C23—202no—
1678C23—202no—
1679C23—401no—
1680C23—401no—
1681C23—401no—
1682C23—401no—
1683C23—401no—
1684C23—401no—
1685C23C22×C22⋊D511yescharacteristic
1686C23C22×C22⋊D511yescharacteristic
1687C23C22×C22⋊D511yescharacteristic
1688C23C22×C22⋊D511yescharacteristic
1689C23C22×C22⋊D511yescharacteristic
1690Q8—21no—
1691Q8—21no—
1692Q8—21no—
1693Q8—21no—
1694Q8—21no—
1695Q8—21no—
1696Q8—41no—
1697Q8—81no—
1698Q8—81no—
1699Q8—81no—
1700Q8—101no—
1701Q8—101no—
1702Q8—101no—
1703Q8—101no—
1704Q8—101no—
1705Q8—101no—
1706Q8—202no—
1707D4—21no—
1708D4—21no—
1709D4—41no—
1710D4—41no—
1711D4—41no—
1712D4—41no—
1713D4—41no—
1714D4—41no—
1715D4—41no—
1716D4—42no—
1717D4—52no—
1718D4—52no—
1719D4—81no—
1720D4—81no—
1721D4—81no—
1722D4—81no—
1723D4—104no—
1724D4—101no—
1725D4—101no—
1726D4—101no—
1727D4—101no—
1728D4—202no—
1729D4—202no—
1730D4—202no—
1731D4—202no—
1732D4—202no—
1733D4—202no—
1734D4—202no—
1735D4—202no—
1736D4—202no—
1737D4—401no—
1738D4—401no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—41no—
1757C2×C4—41no—
1758C2×C4—41no—
1759C2×C4—81no—
1760C2×C4—81no—
1761C2×C4—81no—
1762C2×C4—81no—
1763C2×C4—81no—
1764C2×C4—81no—
1765C2×C4—81no—
1766C2×C4—101no—
1767C2×C4—101no—
1768C2×C4—101no—
1769C2×C4—101no—
1770C2×C4—101no—
1771C2×C4—202no—
1772C2×C4—202no—
1773C2×C4—202no—
1774C2×C4—202no—
1775C2×C4—202no—
1776C2×C4—202no—
1777C2×C4—202no—
1778C2×C4—202no—
1779C2×C4—401no—
1780C2×C4—401no—
1781C2×C4—401no—
1782C2×C4—401no—
1783C2×C4C22×C22⋊D511yescharacteristic
1784C2×C4C22×C22⋊D511yescharacteristic
1785C2×C4C22×C22⋊D511yescharacteristic
1786C2×C4C22×C22⋊D511yescharacteristic
1787C2×C4C22×C22⋊D511yescharacteristic
1788C2×C4C22×C22⋊D511yescharacteristic
1789C2×C4C22×C22⋊D511yescharacteristic
1790C2×C4C22×C22⋊D511yescharacteristic
1791C2×C4C22×C22⋊D511yescharacteristic
1792C2×C4C24×D511yescharacteristic
1793C8—101no—
1794C8—101no—
1795C8—101no—
1796C8—101no—
1797C8—101no—
1798C8—101no—
1799C8—101no—
1800C8—101no—
1801C5#6161311yescharacteristic, complemented, Sylow
1802C22—21no—
1803C22—21no—
1804C22—21no—
1805C22—21no—
1806C22—21no—
1807C22—21no—
1808C22—21no—
1809C22—21no—
1810C22—21no—
1811C22—21no—
1812C22—21no—
1813C22—21no—
1814C22—21no—
1815C22—21no—
1816C22—21no—
1817C22—41no—
1818C22—41no—
1819C22—41no—
1820C22—82no—
1821C22—102no—
1822C22—102no—
1823C22—201no—
1824C22—201no—
1825C22—201no—
1826C22—201no—
1827C22—201no—
1828C22—201no—
1829C22—201no—
1830C22—404no—
1831C22—802no—
1832C22—802no—
1833C22C23×C22⋊D511yescharacteristic
1834C4—21no—
1835C4—21no—
1836C4—21no—
1837C4—21no—
1838C4—21no—
1839C4—21no—
1840C4—21no—
1841C4—21no—
1842C4—21no—
1843C4—41no—
1844C4—41no—
1845C4—41no—
1846C4—41no—
1847C4—41no—
1848C4—41no—
1849C4—41no—
1850C4—201no—
1851C4—201no—
1852C4—201no—
1853C4—201no—
1854C4—201no—
1855C4D5×H(5,𝔽2)11yescharacteristic
1856C4D5×H(5,𝔽2)11yescharacteristic
1857C2—41no—
1858C2—41no—
1859C2—41no—
1860C2—41no—
1861C2—41no—
1862C2—81no—
1863C2—202no—
1864C2—202no—
1865C2—401no—
1866C2#1061918511yescharacteristic
1867C2#1061918811yescharacteristic
1868C2#1061919811yescharacteristic
subgroupG/H
centerC22C23×C22⋊D5
commutator, cosocleC2×C4×C5C25
FrattiniC2×C4C24×D5
FittingC5×#3541C2
socleC22×C5C23×D4
hypercenter#3541D5
hypocenterC5#61613
LCSG ▷ C2×C4×C5 ▷ C2×C5 ▷ C5
UCSC1 ◁ C22 ◁ #525 ◁ #3541

Complements

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

NH ≅ G/Ntype
1. C5×#3541C2semidirect
2. #10617941C2semidirect
3. #10615396C2semidirect
4. #10615395C2semidirect
5. #10615367C2semidirect
6. #10615366C2semidirect
7. #10615348C2semidirect
8. #10615346C2semidirect
9. #10615331C2semidirect
10. #10615329C2semidirect
11. #10615291C2semidirect
12. #10615290C2semidirect
13. #10615276C2semidirect
14. #10615275C2semidirect
15. #10615274C2semidirect
16. #10615274C2semidirect
17. #10615255C2semidirect
18. #10615253C2semidirect
19. #10615195C2semidirect
20. #10615191C2semidirect
21. #10615183C2semidirect
22. #10615178C2semidirect
23. #10615159C2semidirect
24. #10615155C2semidirect
25. #10615144C2semidirect
26. #10615135C2semidirect
27. #10614663C2semidirect
28. #10614657C2semidirect
29. #10614650C2semidirect
30. #10614468C2semidirect
31. #10614466C2semidirect
36. C5×#556C22semidirect
38. C5×#554C22semidirect
40. C5×#553C22semidirect
41. C5×#552C22semidirect
42. C5×D4×Q8C22semidirect
43. C5×#548C22semidirect
44. C5×#548C22semidirect
45. C5×#547C22semidirect
47. C5×#542C22semidirect
48. C5×#541C22semidirect
55. C5×#525C22semidirect
56. C2×C5×C22⋊Q8C22semidirect
58. C2×#4096C22semidirect
59. C2×#4096C22semidirect
60. C2×#4096C22semidirect
61. C2×#4095C22semidirect
62. C2×#4088C22semidirect
63. C2×#4088C22semidirect
64. C2×#4088C22semidirect
65. C22×#688C22semidirect
85. #65528C22semidirect
86. #65528C22semidirect
87. #65528C22semidirect
88. #65527C22semidirect
91. #65517C22semidirect
92. #65517C22semidirect
93. #65517C22semidirect
94. #65516C22semidirect
95. #65496C22semidirect
96. C2×C22⋊#168C22semidirect
97. #65382C22semidirect
98. #65381C22semidirect
99. #65378C22semidirect
100. #65376C22semidirect
101. #65375C22semidirect
102. #65373C22semidirect
103. #65372C22semidirect
104. #65372C22semidirect
105. #65358C22semidirect
106. #65357C22semidirect
107. #65355C22semidirect
108. #65355C22semidirect
109. #65349C22semidirect
110. #65348C22semidirect
111. #65346C22semidirect
112. #65346C22semidirect
113. #65341C22semidirect
114. #65341C22semidirect
115. #65341C22semidirect
116. #65341C22semidirect
117. #65340C22semidirect
118. #65340C22semidirect
119. #65340C22semidirect
120. #65340C22semidirect
121. #65340C22semidirect
122. #65339C22semidirect
123. #65339C22semidirect
124. #65339C22semidirect
125. #65338C22semidirect
126. #65337C22semidirect
127. #65337C22semidirect
131. #65336C22semidirect
132. #65336C22semidirect
133. #65336C22semidirect
134. #65336C22semidirect
135. #65336C22semidirect
136. #65336C22semidirect
137. #65336C22semidirect
138. #65336C22semidirect
139. #65336C22semidirect
143. #65335C22semidirect
144. #65335C22semidirect
145. #65335C22semidirect
146. #65334C22semidirect
147. #65334C22semidirect
148. #65334C22semidirect
149. #65331C22semidirect
150. #65331C22semidirect
151. #65330C22semidirect
152. #65329C22semidirect
153. #65328C22semidirect
155. #65326C22semidirect
156. #65326C22semidirect
157. #65326C22semidirect
159. #65325C22semidirect
160. #65324C22semidirect
161. #65320C22semidirect
162. #65320C22semidirect
163. #65320C22semidirect
164. #65317C22semidirect
165. #65317C22semidirect
166. #65317C22semidirect
167. #65315C22semidirect
168. #65315C22semidirect
169. #65315C22semidirect
170. C4×#688C22semidirect
171. C4×#688C22semidirect
172. C4×#688C22semidirect
173. #65308C22semidirect
174. #65305C22semidirect
175. #65303C22semidirect
176. C4×#686C22semidirect
177. #65301C22semidirect
178. #65301C22semidirect
179. #65300C22semidirect
180. #65300C22semidirect
181. #65300C22semidirect
182. #65300C22semidirect
183. D4×#168C22semidirect
184. D4×#168C22semidirect
185. #65292C22semidirect
186. #65291C22semidirect
187. #65291C22semidirect
188. #65291C22semidirect
189. #65290C22semidirect
190. #65289C22semidirect
191. #65289C22semidirect
192. #65285C22semidirect
193. #65285C22semidirect
194. #65285C22semidirect
195. #65260C22semidirect
196. #65260C22semidirect
197. #65259C22semidirect
198. #65256C22semidirect
199. #65255C22semidirect
200. #65255C22semidirect
201. #65255C22semidirect
202. C2×#3941C22semidirect
491. #3541D5semidirect
779. #556C2×D5semidirect
781. #554C2×D5semidirect
783. #553C2×D5semidirect
784. #552C2×D5semidirect
785. D4×Q8C2×D5semidirect
786. #548C2×D5semidirect
787. #548C2×D5semidirect
794. #547C2×D5semidirect
802. #542C2×D5semidirect
803. #541C2×D5semidirect
815. #525C2×D5semidirect
818. C2×C22⋊Q8C2×D5semidirect
1801. C5#61613semidirect

Maximal subgroups

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

subgroupindex
C5×#35412
#106179412
#106153962
#106153952
#106153672
#106153662
#106153482
#106153462
#106153312
#106153292
#106152912
#106152902
#106152762
#106152752
#106152742
#106152552
#106152532
#106151952
#106151912
#106151832
#106151782
#106151592
#106151552
#106151442
#106151352
#106146632
#106146572
#106146502
#106144682
#106144662
#616135