Finite Group Databasebeta

← #12984899

Subgroups — #12984899

Order 1280.

2086 conjugacy classes of subgroups.

The subgroup lattice has 1882 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C5×#3542C211yesmaximal, characteristic, complemented
2#10617923C211yesmaximal, characteristic, complemented
3#10615388C211yesmaximal, characteristic, complemented
4#10615387C211yesmaximal, characteristic, complemented
5#10615352C211yesmaximal, characteristic, complemented
6#10615351C211yesmaximal, characteristic, complemented
7#10615334C211yesmaximal, characteristic, complemented
8#10615333C211yesmaximal, characteristic, complemented
9#10615315C211yesmaximal, characteristic, complemented
10#10615314C211yesmaximal, characteristic, complemented
11#10615263C211yesmaximal, characteristic, complemented
12#10615262C211yesmaximal, characteristic, complemented
13#10615240C211yesmaximal, characteristic, complemented
14#10615239C211yesmaximal, characteristic, complemented
15#10615237C211yesmaximal, characteristic, complemented
16#10615237C211yesmaximal, characteristic, complemented
17D4×#687C211yesmaximal, characteristic, complemented
18#10615222C211yesmaximal, characteristic, complemented
19#10615198C211yesmaximal, characteristic, complemented
20#10615195C211yesmaximal, characteristic, complemented
21#10615171C211yesmaximal, characteristic, complemented
22#10615170C211yesmaximal, characteristic, complemented
23#10615159C211yesmaximal, characteristic, complemented
24#10615158C211yesmaximal, characteristic, complemented
25#10615123C211yesmaximal, characteristic, complemented
26#10615121C211yesmaximal, characteristic, complemented
27#10614664C211yesmaximal, characteristic, complemented
28#10614661C211yesmaximal, characteristic, complemented
29#10614650C211yesmaximal, characteristic, complemented
30C2×#65329C211yesmaximal, characteristic, complemented
31#10614359C211yesmaximal, characteristic, complemented
32C2×#4150C2211yescharacteristic, complemented
33C23×Dic10C2211yescharacteristic, complemented
34C5×#562—21no—
35C5×#560—21no—
36C5×#555C2211yescharacteristic
37C5×#553C2211yescharacteristic
38C5×#552C2211yescharacteristic
39C5×#551—21no—
40C5×#550C2211yescharacteristic
41C5×#547C2211yescharacteristic
42C5×#546—21no—
43C5×#546C2211yescharacteristic
44C5×#546C2211yescharacteristic
45C5×D42C2211yescharacteristic
46C5×#542C2211yescharacteristic
47C5×#540—21no—
48C5×#540C2211yescharacteristic
49C5×#538—21no—
50C5×#537C2211yescharacteristic
51C5×#535—21no—
52C5×#535C2211yescharacteristic
53C5×#534—21no—
54C5×#525C2211yescharacteristic
55C5×#525C2211yescharacteristic
56C2×C5×#121C2211yescharacteristic
57#66159C2211yescharacteristic, complemented
58C2×#4097C2211yescharacteristic, complemented
59C2×#4097C2211yescharacteristic, complemented
60C2×#4097C2211yescharacteristic, complemented
61C2×#4096C2211yescharacteristic, complemented
62C22×#687C2211yescharacteristic
63C22×#687C2211yescharacteristic
64C22×#687C2211yescharacteristic, complemented
65C2×#4078C2211yescharacteristic, complemented
66#66125C2211yescharacteristic, complemented
67#65982—21no—
68#65982—21no—
69#65966—21no—
70#65966—21no—
71#65932—21no—
72#65932—21no—
73#65920—21no—
74#65920—21no—
75#65886C2211yescharacteristic
76#65886C2211yescharacteristic, complemented
77#65886C2211yescharacteristic, complemented
78#65886C2211yescharacteristic, complemented
79D4×Dic10C2211yescharacteristic
80D4×Dic10C2211yescharacteristic, complemented
81D4×Dic10C2211yescharacteristic, complemented
82D4×Dic10C2211yescharacteristic, complemented
83#65860C2211yescharacteristic, complemented
84#65850C2211yescharacteristic, complemented
85#65528C2211yescharacteristic, complemented
86#65528C2211yescharacteristic, complemented
87#65528C2211yescharacteristic, complemented
88#65527C2211yescharacteristic, complemented
89#65523C2211yescharacteristic, complemented
90#65523C2211yescharacteristic, complemented
91#65507C2211yescharacteristic
92#65507C2211yescharacteristic, complemented
93#65507C2211yescharacteristic, complemented
94#65506C2211yescharacteristic
95#65496C2211yescharacteristic, complemented
96C2×C22⋊#168C2211yescharacteristic, complemented
97#65383C2211yescharacteristic, complemented
98#65382C2211yescharacteristic, complemented
99#65380C2211yescharacteristic, complemented
100#65378C2211yescharacteristic, complemented
101#65365C2211yescharacteristic, complemented
102#65364C2211yescharacteristic, complemented
103#65364C2211yescharacteristic, complemented
104#65363C2211yescharacteristic, complemented
105#65358C2211yescharacteristic, complemented
106#65357C2211yescharacteristic, complemented
107#65352C2211yescharacteristic, complemented
108#65352C2211yescharacteristic, complemented
109#65349C2211yescharacteristic, complemented
110#65348C2211yescharacteristic, complemented
111#65343C2211yescharacteristic, complemented
112#65343C2211yescharacteristic, complemented
113#65341C2211yescharacteristic, complemented
114#65340C2211yescharacteristic, complemented
115#65340C2211yescharacteristic, complemented
116#65339C2211yescharacteristic, complemented
117#65339C2211yescharacteristic, complemented
118#65339C2211yescharacteristic, complemented
119#65339C2211yescharacteristic, complemented
120#65339C2211yescharacteristic, complemented
121#65337C2211yescharacteristic, complemented
122#65336C2211yescharacteristic, complemented
123#65336C2211yescharacteristic, complemented
124#65334C2211yescharacteristic, complemented
125#65331C2211yescharacteristic
126#65331C2211yescharacteristic, complemented
127#65331C2211yescharacteristic, complemented
128#65331C2211yescharacteristic, complemented
129#65331C2211yescharacteristic, complemented
130#65330C2211yescharacteristic
131#65330C2211yescharacteristic, complemented
132#65330C2211yescharacteristic, complemented
133#65330C2211yescharacteristic, complemented
134#65329C2211yescharacteristic
135#65329C2211yescharacteristic
136#65329C2211yescharacteristic
137#65329C2211yescharacteristic
138#65329C2211yescharacteristic
139#65329C2211yescharacteristic
140#65329C2211yescharacteristic, complemented
141#65329C2211yescharacteristic, complemented
142#65329C2211yescharacteristic, complemented
143#65329C2211yescharacteristic, complemented
144#65329C2211yescharacteristic, complemented
145#65329C2211yescharacteristic, complemented
146#65329C2211yescharacteristic, complemented
147#65329C2211yescharacteristic, complemented
148#65329C2211yescharacteristic, complemented
149#65328C2211yescharacteristic
150#65328C2211yescharacteristic, complemented
151#65327C2211yescharacteristic
152#65326C2211yescharacteristic
153#65326C2211yescharacteristic, complemented
154#65326C2211yescharacteristic, complemented
155#65326C2211yescharacteristic, complemented
156#65326C2211yescharacteristic, complemented
157#65326C2211yescharacteristic, complemented
158#65324C2211yescharacteristic
159#65324C2211yescharacteristic, complemented
160#65324C2211yescharacteristic, complemented
161#65320C2211yescharacteristic, complemented
162#65319C2211yescharacteristic, complemented
163C4×#689C2211yescharacteristic, complemented
164#65317C2211yescharacteristic, complemented
165#65308C2211yescharacteristic, complemented
166#65308C2211yescharacteristic, complemented
167#65308C2211yescharacteristic, complemented
168#65307C2211yescharacteristic, complemented
169#65307C2211yescharacteristic, complemented
170#65307C2211yescharacteristic, complemented
171C4×#687C2211yescharacteristic, complemented
172C4×#687C2211yescharacteristic, complemented
173C4×#687C2211yescharacteristic, complemented
174#65305C2211yescharacteristic, complemented
175#65305C2211yescharacteristic, complemented
176#65305C2211yescharacteristic, complemented
177#65301C2211yescharacteristic, complemented
178#65301C2211yescharacteristic, complemented
179#65300C2211yescharacteristic
180#65300C2211yescharacteristic, complemented
181#65300C2211yescharacteristic, complemented
182#65300C2211yescharacteristic, complemented
183D4×#168C2211yescharacteristic
184D4×#168C2211yescharacteristic, complemented
185#65293C2211yescharacteristic, complemented
186#65293C2211yescharacteristic, complemented
187#65293C2211yescharacteristic, complemented
188#65292C2211yescharacteristic, complemented
189#65291C2211yescharacteristic, 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
198C2×#3942C2211yescharacteristic, complemented
199C2×#3942C2211yescharacteristic, complemented
200C2×#3942C2211yescharacteristic, complemented
201#65256C2211yescharacteristic, complemented
202#65255C2211yescharacteristic, complemented
203#61611—51nomaximal, Sylow
204C2×C5×#41—21no—
205C2×C5×#41C2311yescharacteristic
206C2×C5×#41C2311yescharacteristic
207C2×C5×#41C2311yescharacteristic
208C22×C5×D4—21no—
209C22×C5×D4—21no—
210C22×C5×D4C2311yescharacteristic
211C22×C5×D4C2311yescharacteristic
212C23×C4×C5C2311yescharacteristic
213C23×Dic5—21no—
214#4150—42no—
215#4150—42no—
216C2×Q8×D5—21no—
217C2×#711—21no—
218C2×#711—21no—
219C2×#711—21no—
220C2×#709C2311yescharacteristic
221C2×#709C2311yescharacteristic
222C2×#709C2311yescharacteristic
223C22×Dic10—21no—
224C22×Dic10—21no—
225C22×Dic10—21no—
226C22×Dic10—42no—
227C22×Dic10—42no—
228C22×Dic10C2311yescharacteristic
229C22×Dic10C2311yescharacteristic
230C22×Dic10C2311yescharacteristic
231C22×Dic10C2311yescharacteristic
232C22×Dic10C2311yescharacteristic
233C22×Dic10C2311yescharacteristic
234C22×Dic10C2311yescharacteristic
235C22×Dic10C2311yescharacteristic
236C5×C4⋊Q8C2311yescharacteristic
237C5×#127—21no—
238C5×#127—21no—
239C5×#127C2311yescharacteristic
240C5×#126—21no—
241C5×#126—21no—
242C5×#126—21no—
243C5×#125—21no—
244C5×#125C2311yescharacteristic
245C5×#124—21no—
246C5×#124—21no—
247C5×#124—21no—
248C5×#124—21no—
249C5×#124C2311yescharacteristic
250C5×#123—21no—
251C5×#123—21no—
252C5×#123—21no—
253C5×#123—21no—
254C5×#123—21no—
255C5×#123—21no—
256C5×#123—21no—
257C5×#123—21no—
258C5×#123—21no—
259C5×#123—21no—
260C5×#123D411yescharacteristic
261C5×#123D411yescharacteristic
262C5×C22⋊Q8—21no—
263C5×C22⋊Q8—21no—
264C5×C22⋊Q8—21no—
265C5×C22⋊Q8D411yescharacteristic
266C5×C22⋊Q8D411yescharacteristic
267C5×C22⋊Q8C2311yescharacteristic
268C5×C22⋊Q8C2311yescharacteristic
269C5×C22⋊Q8C2311yescharacteristic
270C5×#121—21no—
271C5×#121—21no—
272C5×#121—21no—
273C5×#121—21no—
274C5×#121—21no—
275C5×#121—21no—
276C5×#121—21no—
277C5×#121—21no—
278C5×#121—21no—
279C5×#121—21no—
280C5×#121—21no—
281C5×#121—21no—
282C5×#121—21no—
283C5×#121—21no—
284C5×#121D411yescharacteristic
285C5×#121D411yescharacteristic
286C5×#121C2311yescharacteristic
287C5×#121C2311yescharacteristic
288C5×#121C2311yescharacteristic
289C5×#121C2311yescharacteristic
290C5×#121C2311yescharacteristic
291C5×#121C2311yescharacteristic
292C5×#121C2311yescharacteristic
293C5×#121C2311yescharacteristic
294C5×#121C2311yescharacteristic
295C5×#120—21no—
296C5×#120—21no—
297C5×#120—21no—
298C5×#120—21no—
299C5×#120—21no—
300C5×#120—21no—
301C5×#120—21no—
302C5×#120D411yescharacteristic
303C5×#120D411yescharacteristic
304C4×C5×Q8C2311yescharacteristic
305C4×C5×D4—21no—
306C4×C5×D4—21no—
307C4×C5×D4—21no—
308C4×C5×D4—21no—
309C4×C5×D4C2311yescharacteristic
310C4×C5×D4C2311yescharacteristic
311C4×C5×D4C2311yescharacteristic
312C4×C5×D4C2311yescharacteristic
313C4×C5×D4C2311yescharacteristic
314C4×C5×D4C2311yescharacteristic
315C4×C5×D4C2311yescharacteristic
316C5×#117—21no—
317C5×#117—21no—
318C5×#117C2311yescharacteristic
319C5×#117C2311yescharacteristic
320C5×#117C2311yescharacteristic
321C2×C5×C4⋊C4C2311yescharacteristic
322C2×C5×C4⋊C4C2311yescharacteristic
323C2×C5×C22⋊C4—21no—
324C2×C5×C22⋊C4—21no—
325C2×C5×C22⋊C4—21no—
326#4099—21no—
327#4097—42no—
328#4097—42no—
329#4097—42no—
330#4096—42no—
331#4090—21no—
332C2×#689C2311yescharacteristic
333C2×#689C2311yescharacteristic
334C2×#689C2311yescharacteristic
335C2×#689C2311yescharacteristic
336C2×#689C2311yescharacteristic
337C2×#688C2311yescharacteristic
338#4085—21no—
339#4085—21no—
340#4085—21no—
341#4085—21no—
342#4082—21no—
343#4081—21no—
344#4081—21no—
345D4×Dic5—21no—
346D4×Dic5—21no—
347D4×Dic5—21no—
348D4×Dic5—21no—
349C2×#687—42no—
350C2×#687—42no—
351C2×#687—42no—
352C2×#687C2311yescharacteristic
353C2×#687C2311yescharacteristic
354C2×#687C2311yescharacteristic
355C2×#687C2311yescharacteristic
356C2×#687C2311yescharacteristic
357C2×#687C2311yescharacteristic
358C2×#687C2311yescharacteristic
359C2×#687C2311yescharacteristic
360C2×#687C2311yescharacteristic
361C2×#687C2311yescharacteristic
362C2×#687C2311yescharacteristic
363C2×#687C2311yescharacteristic
364C2×#687C2311yescharacteristic
365C2×#687C2311yescharacteristic
366C2×#687C2311yescharacteristic
367#4078—42no—
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#4042—21no—
394#4042—21no—
395#4042—21no—
396#4042—21no—
397#4034—21no—
398#4034—21no—
399#4034—21no—
400#4034—21no—
401#4033—21no—
402#4033—21no—
403#4032—21no—
404#4032—21no—
405#4031—21no—
406#4031—21no—
407#4031—21no—
408#4031—21no—
409#4027—21no—
410#4027—21no—
411#4027—21no—
412#4027—21no—
413#4024—21no—
414#4024—21no—
415#4024—21no—
416#4024—21no—
417#4024—21no—
418#4024—21no—
419#4024—21no—
420#4024—21no—
421#4023—21no—
422#4023—21no—
423#4021C2311yescharacteristic
424#4021C2311yescharacteristic
425#4015C2311yescharacteristic
426#4015C2311yescharacteristic
427C4×Dic10C2311yescharacteristic
428C4×Dic10C2311yescharacteristic
429C4×Dic10C2311yescharacteristic
430C4×Dic10C2311yescharacteristic
431#3967C2311yescharacteristic
432#3967C2311yescharacteristic
433#3964C2311yescharacteristic
434#3964C2311yescharacteristic
435#3964C2311yescharacteristic
436#3964C2311yescharacteristic
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#3942C2311yescharacteristic
464#3942C2311yescharacteristic
465#3942C2311yescharacteristic
466#3942C2311yescharacteristic
467#3942C2311yescharacteristic
468#3942C2311yescharacteristic
469#3942C2311yescharacteristic
470#3942C2311yescharacteristic
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#3542D511yescharacteristic, complemented
492#3486—51no—
493#3329—51no—
494#3326—51no—
495#3321—51no—
496#3320—51no—
497#3312—51no—
498#3308—51no—
499#3300—51no—
500#3298—51no—
501#3282—51no—
502D4×SD16—51no—
503#3278—51no—
504#3275—51no—
505#3271—51no—
506#3266—51no—
507#3266—51no—
508#3265—51no—
509#3225—51no—
510#3221—51no—
511#3201—51no—
512#3200—51no—
513#3194—51no—
514#3191—51no—
515#3126—51no—
516#3121—51no—
517#3013—51no—
518#3010—51no—
519#3004—51no—
520C2×#448—51no—
521#2976—51no—
522C24×C5—21no—
523C24×C5—21no—
524C24×C5C2×D411yescharacteristic
525C5×#41—41no—
526C5×#41—41no—
527C5×#41—41no—
528C5×#41—41no—
529C5×#41—41no—
530C5×#41—41no—
531C5×#41—82no—
532C2×C5×Q8—21no—
533C2×C5×Q8C2×D411yescharacteristic
534C2×C5×Q8C2411yescharacteristic
535C2×C5×D4—21no—
536C2×C5×D4—21no—
537C2×C5×D4—21no—
538C2×C5×D4—21no—
539C2×C5×D4—21no—
540C2×C5×D4—21no—
541C2×C5×D4—21no—
542C2×C5×D4—21no—
543C2×C5×D4—21no—
544C2×C5×D4—21no—
545C2×C5×D4—21no—
546C2×C5×D4—21no—
547C2×C5×D4—21no—
548C2×C5×D4—21no—
549C2×C5×D4—21no—
550C2×C5×D4—41no—
551C2×C5×D4—41no—
552C2×C5×D4—41no—
553C2×C5×D4—41no—
554C2×C5×D4—82no—
555C2×C5×D4—82no—
556C2×C5×D4C2×D411yescharacteristic
557C2×C5×D4C2×D411yescharacteristic
558C2×C5×D4C2×D411yescharacteristic
559C2×C5×D4C2×D411yescharacteristic
560C2×C5×D4C2×D411yescharacteristic
561C2×C5×D4C2×D411yescharacteristic
562C2×C5×D4C2×D411yescharacteristic
563C2×C5×D4C2411yescharacteristic
564C2×C5×D4C2411yescharacteristic
565C2×C5×D4C2411yescharacteristic
566C22×C4×C5—21no—
567C22×C4×C5—21no—
568C22×C4×C5—21no—
569C22×C4×C5—21no—
570C22×C4×C5—21no—
571C22×C4×C5—21no—
572C22×C4×C5—21no—
573C22×C4×C5—41no—
574C22×C4×C5—41no—
575C22×C4×C5C2×D411yescharacteristic
576C22×C4×C5C2×D411yescharacteristic
577C22×C4×C5C2×D411yescharacteristic
578C22×C4×C5C2411yescharacteristic
579C22×C4×C5C2411yescharacteristic
580C22×C4×C5C2411yescharacteristic
581C22×C4×C5C2411yescharacteristic
582C22×C4×C5C2411yescharacteristic
583C2×C22⋊D5—21no—
584C2×C22⋊D5—21no—
585C2×C22⋊D5—21no—
586C2×C22⋊D5—21no—
587C2×C22⋊D5—21no—
588C22×Dic5—21no—
589C22×Dic5—21no—
590C22×Dic5—21no—
591C22×Dic5—21no—
592C22×Dic5—21no—
593C22×Dic5—21no—
594C22×Dic5—21no—
595C22×Dic5—21no—
596C22×Dic5—44no—
597Q8×D5—44no—
598#711—44no—
599#711—44no—
600#711—44no—
601#709—22no—
602#709—22no—
603#709—41no—
604#709—41no—
605#709—41no—
606#709—41no—
607C2×D20C2411yescharacteristic
608C2×C4×D5—21no—
609C2×C4×D5—21no—
610C2×C4×D5—21no—
611C2×Dic10—21no—
612C2×Dic10—22no—
613C2×Dic10—22no—
614C2×Dic10—22no—
615C2×Dic10—22no—
616C2×Dic10—22no—
617C2×Dic10—22no—
618C2×Dic10—22no—
619C2×Dic10—22no—
620C2×Dic10—21no—
621C2×Dic10—21no—
622C2×Dic10—21no—
623C2×Dic10—21no—
624C2×Dic10—21no—
625C2×Dic10—21no—
626C2×Dic10—21no—
627C2×Dic10—41no—
628C2×Dic10—41no—
629C2×Dic10—41no—
630C2×Dic10—41no—
631C2×Dic10—41no—
632C2×Dic10—41no—
633C2×Dic10—41no—
634C2×Dic10—41no—
635C2×Dic10—44no—
636C2×Dic10—44no—
637C2×Dic10—44no—
638C2×Dic10C2411yescharacteristic
639C2×Dic10C2411yescharacteristic
640C2×Dic10C2411yescharacteristic
641C2×Dic10C2411yescharacteristic
642C2×Dic10C2411yescharacteristic
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⋊C4C2×D411yescharacteristic
653C5×C4⋊C4C2×D411yescharacteristic
654C5×C4⋊C4C2×D411yescharacteristic
655C5×C4⋊C4C2×D411yescharacteristic
656C5×C4⋊C4C2×D411yescharacteristic
657C5×C4⋊C4C2×D411yescharacteristic
658C5×C4⋊C4C2411yescharacteristic
659C5×C4⋊C4C2411yescharacteristic
660C5×C4⋊C4C2411yescharacteristic
661C5×C4⋊C4C2411yescharacteristic
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⋊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⋊C4—21no—
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
690C5×C22⋊C4C2×D411yescharacteristic
691C42×C5—21no—
692C42×C5—21no—
693C42×C5—21no—
694C42×C5C2411yescharacteristic
695C42×C5C2411yescharacteristic
696C22⋊Dic5—21no—
697C22⋊Dic5—21no—
698C22⋊Dic5—21no—
699C22⋊Dic5—21no—
700C22⋊Dic5—21no—
701C22⋊Dic5—21no—
702C22⋊Dic5—21no—
703#689—22no—
704#689—22no—
705#689—41no—
706#689—41no—
707#689—41no—
708#688—41no—
709#687—22no—
710#687—22no—
711#687—22no—
712#687—22no—
713#687—22no—
714#687—22no—
715#687—41no—
716#687—41no—
717#687—41no—
718#687—41no—
719#687—41no—
720#687—41no—
721#687—41no—
722#687—41no—
723#687—41no—
724#686—41no—
725#686—41no—
726#686—41no—
727#685—21no—
728#685—21no—
729#685—21no—
730#685—21no—
731#685—21no—
732#685—21no—
733C4⋊Dic5—21no—
734C4⋊Dic5—21no—
735C4⋊Dic5—21no—
736C4⋊Dic5—21no—
737C4⋊Dic5C2411yescharacteristic
738C4⋊Dic5C2411yescharacteristic
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—
758C2×#168—41no—
759C2×#168—41no—
760C2×#168—41no—
761C2×#168—41no—
762C2×#168C2411yescharacteristic
763C2×#168C2411yescharacteristic
764C2×#168C2411yescharacteristic
765C2×#168C2411yescharacteristic
766C2×#168C2411yescharacteristic
767C2×#168C2411yescharacteristic
768C2×#168C2411yescharacteristic
769C2×#168C2411yescharacteristic
770C2×2−1+4—51no—
771C23×Q8—51no—
772C2×#137—51no—
773C2×#137—51no—
774C2×#137—51no—
775C2×AGL(1,ℤ/8)—51no—
776C2×#135—51no—
777C22×SD16—51no—
778C22×SD16—51no—
779C22×SD16—51no—
780#562—21no—
781#560—21no—
782#555C2×D511yescharacteristic
783#553C2×D511yescharacteristic
784#552C2×D511yescharacteristic
785#551—21no—
786#550C2×D511yescharacteristic
787D4×Q8—51no—
788D4×Q8—51no—
789D4×Q8—51no—
790D4×Q8—51no—
791D4×Q8—101no—
792D4×Q8—101no—
793#548—51no—
794#548—51no—
795#548—51no—
796#548—51no—
797#548—101no—
798#548—101no—
799#547C2×D511yescharacteristic
800#546—21no—
801#546C2×D511yescharacteristic
802#546C2×D511yescharacteristic
803D42C2×D511yescharacteristic
804#542C2×D511yescharacteristic
805#540—21no—
806#540C2×D511yescharacteristic
807#538—21no—
808#537C2×D511yescharacteristic
809#536—51no—
810#536—51no—
811#536—101no—
812#536—101no—
813#535—21no—
814#535C2×D511yescharacteristic
815#534—21no—
816#525—51no—
817#525—101no—
818#525—101no—
819#525C2×D511yescharacteristic
820#525C2×D511yescharacteristic
821C2×#121C2×D511yescharacteristic
822#519—51no—
823#497—51no—
824#496—51no—
825#495—51no—
826#492—51no—
827#491—51no—
828#489—51no—
829#488—51no—
830#487—51no—
831#485—51no—
832#485—51no—
833#485—51no—
834#485—51no—
835#484—51no—
836#483—51no—
837#483—51no—
838#482—51no—
839#482—51no—
840#482—51no—
841#482—51no—
842#480—51no—
843#479—51no—
844#479—51no—
845#477—51no—
846#475—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#467—51no—
856#467—51no—
857#466—51no—
858#465—51no—
859#465—51no—
860#465—51no—
861#465—51no—
862#465—51no—
863#464—51no—
864#464—51no—
865#464—51no—
866#463—51no—
867#463—51no—
868#463—51no—
869#462—51no—
870#461—51no—
871#461—51no—
872#461—51no—
873#460—51no—
874#460—51no—
875#452—51no—
876#452—51no—
877#452—51no—
878#452—51no—
879#452—51no—
880#451—51no—
881#451—51no—
882#451—51no—
883#451—51no—
884#451—51no—
885#450—51no—
886#450—51no—
887#450—51no—
888#449—51no—
889#449—51no—
890#449—51no—
891#449—51no—
892#449—51no—
893#449—51no—
894#449—51no—
895#448—51no—
896#448—51no—
897#448—51no—
898#448—51no—
899#448—51no—
900#448—51no—
901#448—51no—
902#448—51no—
903#448—51no—
904#448—51no—
905#448—51no—
906#448—51no—
907#448—51no—
908#448—51no—
909#448—51no—
910#447—51no—
911#441—51no—
912#440—51no—
913#440—51no—
914#440—51no—
915C4×Q16—51no—
916C4×SD16—51no—
917C4×SD16—51no—
918C4×SD16—51no—
919#436—51no—
920#436—51no—
921#435—51no—
922#435—51no—
923#435—51no—
924#435—51no—
925C8×D4—51no—
926C8×D4—51no—
927#433—51no—
928#433—51no—
929#419—51no—
930#419—51no—
931#419—51no—
932#417—51no—
933#416—51no—
934C2×#103—51no—
935C2×#103—51no—
936C2×#103—51no—
937#408—51no—
938#408—51no—
939#407—51no—
940C2×C22⋊C8—51no—
941C23×C5—22no—
942C23×C5—21no—
943C23×C5—21no—
944C23×C5—21no—
945C23×C5—41no—
946C23×C5—41no—
947C23×C5—42no—
948C23×C5—81no—
949C23×C5—81no—
950C23×C5—81no—
951C23×C5—81no—
952C23×C5—81no—
953C23×C5C22×D411yescharacteristic
954C23×C5C22×D411yescharacteristic
955C23×C5C22×D411yescharacteristic
956C23×C5C22×D411yescharacteristic
957C23×C5C22×D411yescharacteristic
958C22×D5—21no—
959C5×Q8—21no—
960C5×Q8—21no—
961C5×Q8—41no—
962C5×Q8—81no—
963C5×D4—22no—
964C5×D4—22no—
965C5×D4—21no—
966C5×D4—21no—
967C5×D4—21no—
968C5×D4—21no—
969C5×D4—21no—
970C5×D4—21no—
971C5×D4—41no—
972C5×D4—41no—
973C5×D4—41no—
974C5×D4—41no—
975C5×D4—41no—
976C5×D4—42no—
977C5×D4—81no—
978C5×D4—81no—
979C5×D4—81no—
980C5×D4—81no—
981C5×D4—81no—
982C5×D4—81no—
983C5×D4—81no—
984C5×D4—81no—
985C5×D4—81no—
986C5×D4—81no—
987C5×D4—81no—
988C5×D4—81no—
989C5×D4—81no—
990C5×D4—81no—
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—21no—
1001C2×C4×C5—21no—
1002C2×C4×C5—21no—
1003C2×C4×C5—21no—
1004C2×C4×C5—21no—
1005C2×C4×C5—21no—
1006C2×C4×C5—41no—
1007C2×C4×C5—41no—
1008C2×C4×C5—41no—
1009C2×C4×C5—42no—
1010C2×C4×C5—81no—
1011C2×C4×C5—81no—
1012C2×C4×C5—81no—
1013C2×C4×C5—81no—
1014C2×C4×C5—81no—
1015C2×C4×C5—81no—
1016C2×C4×C5C22×D411yescharacteristic
1017C2×C4×C5C22×D411yescharacteristic
1018C2×C4×C5C22×D411yescharacteristic
1019C2×C4×C5C22×D411yescharacteristic
1020C2×C4×C5C22×D411yescharacteristic
1021C2×C4×C5C22×D411yescharacteristic
1022C2×C4×C5C22×D411yescharacteristic
1023C2×C4×C5C22×D411yescharacteristic
1024C2×C4×C5C22×D411yescharacteristic
1025C2×C4×C5C2511yescharacteristic
1026C22⋊D5—42no—
1027C22⋊D5—42no—
1028C22⋊D5—42no—
1029C22⋊D5—42no—
1030C22⋊D5—42no—
1031C2×Dic5—24no—
1032C2×Dic5—21no—
1033C2×Dic5—21no—
1034C2×Dic5—21no—
1035C2×Dic5—21no—
1036C2×Dic5—21no—
1037C2×Dic5—21no—
1038C2×Dic5—21no—
1039C2×Dic5—42no—
1040C2×Dic5—42no—
1041C2×Dic5—42no—
1042C2×Dic5—42no—
1043C2×Dic5—42no—
1044C2×Dic5—42no—
1045C2×Dic5—42no—
1046D20—21no—
1047D20—21no—
1048C4×D5—42no—
1049C4×D5—42no—
1050C4×D5—42no—
1051Dic10—24no—
1052Dic10—21no—
1053Dic10—21no—
1054Dic10—21no—
1055Dic10—21no—
1056Dic10—21no—
1057Dic10—21no—
1058Dic10—21no—
1059Dic10—21no—
1060Dic10—42no—
1061Dic10—42no—
1062Dic10—42no—
1063Dic10—42no—
1064Dic10—42no—
1065Dic10—42no—
1066Dic10—42no—
1067Dic10H(5,𝔽2)12yes—
1068Dic10H(5,𝔽2)12yes—
1069#168—21no—
1070#168—21no—
1071#168—21no—
1072#168—21no—
1073#168—21no—
1074#168—21no—
1075#168—21no—
1076#168—21no—
10772−1+4—202no—
10782−1+4—202no—
1079C2×#41—21no—
1080C2×#41—51no—
1081C2×#41—51no—
1082C2×#41—51no—
1083C2×#41—101no—
1084C2×#41—101no—
1085C2×#41—101no—
1086C2×#41C22×D511yescharacteristic
1087C2×#41C22×D511yescharacteristic
1088C2×#41C22×D511yescharacteristic
1089C22×Q8—51no—
1090C22×Q8—51no—
1091C22×Q8—51no—
1092C22×Q8—51no—
1093C22×Q8—51no—
1094C22×Q8—51no—
1095C22×Q8—51no—
1096C22×Q8—51no—
1097C22×Q8—101no—
1098C22×Q8—101no—
1099C22×Q8—101no—
1100C22×Q8—101no—
1101C22×Q8—202no—
1102C22×Q8—202no—
1103C22×D4—21no—
1104C22×D4—21no—
1105C22×D4C22×D511yescharacteristic
1106C22×D4C22×D511yescharacteristic
1107C23×C4—101no—
1108C23×C4C22×D511yescharacteristic
1109#137—202no—
1110#137—202no—
1111#137—202no—
1112AGL(1,ℤ/8)—202no—
1113#135—202no—
1114C2×Q16—51no—
1115C2×Q16—51no—
1116C2×Q16—51no—
1117C2×Q16—51no—
1118C2×Q16—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—51no—
1128C2×SD16—51no—
1129C2×SD16—51no—
1130C2×SD16—51no—
1131C2×SD16—51no—
1132C2×SD16—51no—
1133C2×SD16—51no—
1134C2×SD16—51no—
1135C2×SD16—202no—
1136C2×SD16—202no—
1137C2×SD16—202no—
1138C2×D8—51no—
1139C2×D8—51no—
1140C2×D8—51no—
1141C2×M16—51no—
1142C2×M16—51no—
1143C2×M16—51no—
1144C2×M16—51no—
1145C22×C8—51no—
1146C22×C8—51no—
1147C22×C8—51no—
1148C22×C8—51no—
1149C4⋊Q8—51no—
1150C4⋊Q8—51no—
1151C4⋊Q8—101no—
1152C4⋊Q8—101no—
1153C4⋊Q8—101no—
1154C4⋊Q8—101no—
1155C4⋊Q8—101no—
1156C4⋊Q8C22×D511yescharacteristic
1157#127—21no—
1158#127—21no—
1159#127C22×D511yescharacteristic
1160#126—21no—
1161#126—21no—
1162#126—21no—
1163#125—21no—
1164#125C22×D511yescharacteristic
1165#124—21no—
1166#124—21no—
1167#124—21no—
1168#124—21no—
1169#124—51no—
1170#124—51no—
1171#124—101no—
1172#124—101no—
1173#124—101no—
1174#124—101no—
1175#124—101no—
1176#124C22×D511yescharacteristic
1177#123—21no—
1178#123—21no—
1179#123—21no—
1180#123—21no—
1181#123—21no—
1182#123—21no—
1183#123—21no—
1184#123—21no—
1185#123—21no—
1186#123—21no—
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—51no—
1198C22⋊Q8—51no—
1199C22⋊Q8—51no—
1200C22⋊Q8—51no—
1201C22⋊Q8—51no—
1202C22⋊Q8—51no—
1203C22⋊Q8—101no—
1204C22⋊Q8—101no—
1205C22⋊Q8—101no—
1206C22⋊Q8—101no—
1207C22⋊Q8—101no—
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⋊Q8C22⋊D511yescharacteristic
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—51no—
1237#121—51no—
1238#121—101no—
1239#121—101no—
1240#121—101no—
1241#121—101no—
1242#121C22⋊D511yescharacteristic
1243#121C22⋊D511yescharacteristic
1244#121C22×D511yescharacteristic
1245#121C22×D511yescharacteristic
1246#121C22×D511yescharacteristic
1247#121C22×D511yescharacteristic
1248#121C22×D511yescharacteristic
1249#121C22×D511yescharacteristic
1250#121C22×D511yescharacteristic
1251#121C22×D511yescharacteristic
1252#121C22×D511yescharacteristic
1253#120—21no—
1254#120—21no—
1255#120—21no—
1256#120—21no—
1257#120—21no—
1258#120—21no—
1259#120—21no—
1260#120—101no—
1261#120C22⋊D511yescharacteristic
1262#120C22⋊D511yescharacteristic
1263C4×Q8—51no—
1264C4×Q8—51no—
1265C4×Q8—51no—
1266C4×Q8—51no—
1267C4×Q8—101no—
1268C4×Q8—101no—
1269C4×Q8C22×D511yescharacteristic
1270C4×D4—21no—
1271C4×D4—21no—
1272C4×D4—21no—
1273C4×D4—21no—
1274C4×D4—101no—
1275C4×D4—101no—
1276C4×D4—101no—
1277C4×D4—101no—
1278C4×D4—101no—
1279C4×D4—101no—
1280C4×D4—101no—
1281C4×D4—101no—
1282C4×D4—101no—
1283C4×D4—101no—
1284C4×D4C22×D511yescharacteristic
1285C4×D4C22×D511yescharacteristic
1286C4×D4C22×D511yescharacteristic
1287C4×D4C22×D511yescharacteristic
1288C4×D4C22×D511yescharacteristic
1289C4×D4C22×D511yescharacteristic
1290C4×D4C22×D511yescharacteristic
1291#117—21no—
1292#117—21no—
1293#117—51no—
1294#117—101no—
1295#117—101no—
1296#117C22×D511yescharacteristic
1297#117C22×D511yescharacteristic
1298#117C22×D511yescharacteristic
1299C2×C4⋊C4C22×D511yescharacteristic
1300C2×C4⋊C4C22×D511yescharacteristic
1301C2×C22⋊C4—21no—
1302C2×C22⋊C4—21no—
1303C2×C22⋊C4—21no—
1304#107—51no—
1305#107—51no—
1306#107—51no—
1307#107—51no—
1308#106—51no—
1309#106—51no—
1310#106—51no—
1311#106—51no—
1312C4⋊C8—51no—
1313C4⋊C8—51no—
1314C4⋊C8—51no—
1315C4⋊C8—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#103—51no—
1328#103—51no—
1329#103—51no—
1330#103—51no—
1331#103—51no—
1332#103—51no—
1333#103—51no—
1334#103—51no—
1335#103—51no—
1336#103—51no—
1337#103—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—
1348C22⋊C8—51no—
1349C22⋊C8—51no—
1350C22⋊C8—51no—
1351C22⋊C8—51no—
1352C22⋊C8—51no—
1353C22⋊C8—51no—
1354C22⋊C8—51no—
1355C22⋊C8—51no—
1356C22⋊C8—51no—
1357C22⋊C8—51no—
1358C22⋊C8—51no—
1359C22⋊C8—51no—
1360#97—51no—
1361#97—51no—
1362C4×C8—51no—
1363C4×C8—51no—
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—21no—
1373C22×C5—21no—
1374C22×C5—21no—
1375C22×C5—21no—
1376C22×C5—21no—
1377C22×C5—21no—
1378C22×C5—44no—
1379C22×C5—41no—
1380C22×C5—41no—
1381C22×C5—41no—
1382C22×C5—41no—
1383C22×C5—41no—
1384C22×C5—41no—
1385C22×C5—41no—
1386C22×C5—41no—
1387C22×C5—41no—
1388C22×C5—162no—
1389C22×C5—162no—
1390C22×C5#57712yes—
1391C22×C5C23×D411yescharacteristic
1392C2×D5—41no—
1393C2×D5—41no—
1394C2×D5—41no—
1395C4×C5—21no—
1396C4×C5—21no—
1397C4×C5—21no—
1398C4×C5—21no—
1399C4×C5—21no—
1400C4×C5—21no—
1401C4×C5—21no—
1402C4×C5—21no—
1403C4×C5—21no—
1404C4×C5—41no—
1405C4×C5—41no—
1406C4×C5—41no—
1407C4×C5—41no—
1408C4×C5—41no—
1409C4×C5C2×H(5,𝔽2)11yescharacteristic
1410C4×C5C2×H(5,𝔽2)11yescharacteristic
1411Dic5—22no—
1412Dic5—22no—
1413Dic5—41no—
1414Dic5—41no—
1415Dic5—41no—
1416Dic5—41no—
1417Dic5—41no—
1418C24—21no—
1419C24—21no—
1420C24C2×C22⋊D511yescharacteristic
1421#41—41no—
1422#41—41no—
1423#41—41no—
1424#41—41no—
1425#41—41no—
1426#41—41no—
1427#41—82no—
1428#41—102no—
1429#41—102no—
1430#41—201no—
1431#41—201no—
1432#41—201no—
1433#41—201no—
1434#41—204no—
1435#41—204no—
1436#41—204no—
1437C2×Q8—21no—
1438C2×Q8—51no—
1439C2×Q8—51no—
1440C2×Q8—51no—
1441C2×Q8—51no—
1442C2×Q8—51no—
1443C2×Q8—102no—
1444C2×Q8—102no—
1445C2×Q8—102no—
1446C2×Q8—102no—
1447C2×Q8—102no—
1448C2×Q8—102no—
1449C2×Q8—102no—
1450C2×Q8—102no—
1451C2×Q8—101no—
1452C2×Q8—101no—
1453C2×Q8—101no—
1454C2×Q8—101no—
1455C2×Q8—101no—
1456C2×Q8—101no—
1457C2×Q8—101no—
1458C2×Q8—101no—
1459C2×Q8—201no—
1460C2×Q8—201no—
1461C2×Q8—201no—
1462C2×Q8—201no—
1463C2×Q8—201no—
1464C2×Q8—201no—
1465C2×Q8—201no—
1466C2×Q8—201no—
1467C2×Q8—204no—
1468C2×Q8—204no—
1469C2×Q8—204no—
1470C2×Q8—204no—
1471C2×Q8C2×C22⋊D511yescharacteristic
1472C2×Q8C23×D511yescharacteristic
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—41no—
1489C2×D4—41no—
1490C2×D4—41no—
1491C2×D4—41no—
1492C2×D4—51no—
1493C2×D4—82no—
1494C2×D4—82no—
1495C2×D4—101no—
1496C2×D4—101no—
1497C2×D4—101no—
1498C2×D4—101no—
1499C2×D4—101no—
1500C2×D4C2×C22⋊D511yescharacteristic
1501C2×D4C2×C22⋊D511yescharacteristic
1502C2×D4C2×C22⋊D511yescharacteristic
1503C2×D4C2×C22⋊D511yescharacteristic
1504C2×D4C2×C22⋊D511yescharacteristic
1505C2×D4C2×C22⋊D511yescharacteristic
1506C2×D4C2×C22⋊D511yescharacteristic
1507C2×D4C23×D511yescharacteristic
1508C2×D4C23×D511yescharacteristic
1509C2×D4C23×D511yescharacteristic
1510C22×C4—21no—
1511C22×C4—21no—
1512C22×C4—21no—
1513C22×C4—21no—
1514C22×C4—21no—
1515C22×C4—21no—
1516C22×C4—21no—
1517C22×C4—41no—
1518C22×C4—41no—
1519C22×C4—101no—
1520C22×C4—101no—
1521C22×C4—101no—
1522C22×C4—101no—
1523C22×C4—101no—
1524C22×C4—101no—
1525C22×C4—101no—
1526C22×C4—101no—
1527C22×C4—101no—
1528C22×C4—101no—
1529C22×C4—101no—
1530C22×C4—204no—
1531C22×C4C2×C22⋊D511yescharacteristic
1532C22×C4C2×C22⋊D511yescharacteristic
1533C22×C4C2×C22⋊D511yescharacteristic
1534C22×C4C23×D511yescharacteristic
1535C22×C4C23×D511yescharacteristic
1536C22×C4C23×D511yescharacteristic
1537C22×C4C23×D511yescharacteristic
1538C22×C4C23×D511yescharacteristic
1539Q16—102no—
1540Q16—102no—
1541Q16—201no—
1542Q16—201no—
1543Q16—201no—
1544SD16—102no—
1545SD16—102no—
1546SD16—102no—
1547SD16—102no—
1548SD16—102no—
1549SD16—102no—
1550SD16—201no—
1551SD16—201no—
1552SD16—201no—
1553SD16—201no—
1554SD16—201no—
1555SD16—201no—
1556SD16—201no—
1557SD16—201no—
1558SD16—201no—
1559SD16—201no—
1560D8—201no—
1561D8—201no—
1562D8—201no—
1563M16—201no—
1564M16—201no—
1565M16—201no—
1566M16—201no—
1567C2×C8—51no—
1568C2×C8—51no—
1569C2×C8—51no—
1570C2×C8—51no—
1571C2×C8—51no—
1572C2×C8—51no—
1573C2×C8—51no—
1574C2×C8—51no—
1575C2×C8—201no—
1576C2×C8—201no—
1577C2×C8—201no—
1578C2×C8—201no—
1579C4⋊C4—21no—
1580C4⋊C4—21no—
1581C4⋊C4—21no—
1582C4⋊C4—21no—
1583C4⋊C4—21no—
1584C4⋊C4—21no—
1585C4⋊C4—21no—
1586C4⋊C4—21no—
1587C4⋊C4—21no—
1588C4⋊C4—51no—
1589C4⋊C4—51no—
1590C4⋊C4—101no—
1591C4⋊C4—101no—
1592C4⋊C4—101no—
1593C4⋊C4—101no—
1594C4⋊C4—101no—
1595C4⋊C4—101no—
1596C4⋊C4—101no—
1597C4⋊C4—101no—
1598C4⋊C4—101no—
1599C4⋊C4—101no—
1600C4⋊C4—101no—
1601C4⋊C4—101no—
1602C4⋊C4—101no—
1603C4⋊C4—101no—
1604C4⋊C4C2×C22⋊D511yescharacteristic
1605C4⋊C4C2×C22⋊D511yescharacteristic
1606C4⋊C4C2×C22⋊D511yescharacteristic
1607C4⋊C4C2×C22⋊D511yescharacteristic
1608C4⋊C4C2×C22⋊D511yescharacteristic
1609C4⋊C4C2×C22⋊D511yescharacteristic
1610C4⋊C4C23×D511yescharacteristic
1611C4⋊C4C23×D511yescharacteristic
1612C4⋊C4C23×D511yescharacteristic
1613C4⋊C4C23×D511yescharacteristic
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—21no—
1623C22⋊C4—21no—
1624C22⋊C4—21no—
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—101no—
1634C22⋊C4—101no—
1635C22⋊C4—101no—
1636C22⋊C4—101no—
1637C22⋊C4—101no—
1638C22⋊C4—101no—
1639C22⋊C4—101no—
1640C22⋊C4—101no—
1641C22⋊C4—101no—
1642C22⋊C4—101no—
1643C22⋊C4—101no—
1644C22⋊C4—101no—
1645C22⋊C4—101no—
1646C22⋊C4C2×C22⋊D511yescharacteristic
1647C22⋊C4C2×C22⋊D511yescharacteristic
1648C22⋊C4C2×C22⋊D511yescharacteristic
1649C22⋊C4C2×C22⋊D511yescharacteristic
1650C22⋊C4C2×C22⋊D511yescharacteristic
1651C22⋊C4C2×C22⋊D511yescharacteristic
1652C22⋊C4C2×C22⋊D511yescharacteristic
1653C22⋊C4C2×C22⋊D511yescharacteristic
1654C22⋊C4C2×C22⋊D511yescharacteristic
1655C22⋊C4C2×C22⋊D511yescharacteristic
1656C42—21no—
1657C42—21no—
1658C42—21no—
1659C42—101no—
1660C42—101no—
1661C42—101no—
1662C42—101no—
1663C42—101no—
1664C42C23×D511yescharacteristic
1665C42C23×D511yescharacteristic
1666C2×C5—22no—
1667C2×C5—41no—
1668C2×C5—41no—
1669C2×C5—41no—
1670C2×C5—41no—
1671C2×C5—81no—
1672C2×C5—81no—
1673C2×C5—81no—
1674C2×C5#348411yescharacteristic
1675C2×C5C2×#57711yescharacteristic
1676C2×C5#358611yescharacteristic
1677D5—81no—
1678C23—22no—
1679C23—21no—
1680C23—21no—
1681C23—21no—
1682C23—41no—
1683C23—41no—
1684C23—42no—
1685C23—81no—
1686C23—81no—
1687C23—81no—
1688C23—81no—
1689C23—81no—
1690C23—101no—
1691C23C22×C22⋊D511yescharacteristic
1692C23C22×C22⋊D511yescharacteristic
1693C23C22×C22⋊D511yescharacteristic
1694C23C22×C22⋊D511yescharacteristic
1695C23C22×C22⋊D511yescharacteristic
1696Q8—21no—
1697Q8—21no—
1698Q8—41no—
1699Q8—52no—
1700Q8—52no—
1701Q8—81no—
1702Q8—104no—
1703Q8—101no—
1704Q8—101no—
1705Q8—101no—
1706Q8—101no—
1707Q8—101no—
1708Q8—101no—
1709Q8—101no—
1710Q8—101no—
1711Q8—202no—
1712Q8—202no—
1713Q8—202no—
1714Q8—202no—
1715Q8—202no—
1716Q8—202no—
1717Q8—202no—
1718D4—22no—
1719D4—22no—
1720D4—21no—
1721D4—21no—
1722D4—21no—
1723D4—21no—
1724D4—21no—
1725D4—21no—
1726D4—41no—
1727D4—41no—
1728D4—41no—
1729D4—41no—
1730D4—41no—
1731D4—42no—
1732D4—81no—
1733D4—81no—
1734D4—81no—
1735D4—81no—
1736D4—81no—
1737D4—81no—
1738D4—81no—
1739D4—81no—
1740D4—81no—
1741D4—81no—
1742D4—81no—
1743D4—81no—
1744D4—81no—
1745D4—81no—
1746D4—101no—
1747D4—101no—
1748D4—202no—
1749D4—202no—
1750D4—202no—
1751D4—202no—
1752D4—202no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—21no—
1764C2×C4—21no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—41no—
1769C2×C4—41no—
1770C2×C4—41no—
1771C2×C4—42no—
1772C2×C4—81no—
1773C2×C4—81no—
1774C2×C4—81no—
1775C2×C4—81no—
1776C2×C4—81no—
1777C2×C4—81no—
1778C2×C4—104no—
1779C2×C4—101no—
1780C2×C4—101no—
1781C2×C4—101no—
1782C2×C4—101no—
1783C2×C4—101no—
1784C2×C4—101no—
1785C2×C4—101no—
1786C2×C4—202no—
1787C2×C4—202no—
1788C2×C4—202no—
1789C2×C4—202no—
1790C2×C4—202no—
1791C2×C4—202no—
1792C2×C4—202no—
1793C2×C4—202no—
1794C2×C4—202no—
1795C2×C4—202no—
1796C2×C4C22×C22⋊D511yescharacteristic
1797C2×C4C22×C22⋊D511yescharacteristic
1798C2×C4C22×C22⋊D511yescharacteristic
1799C2×C4C22×C22⋊D511yescharacteristic
1800C2×C4C22×C22⋊D511yescharacteristic
1801C2×C4C22×C22⋊D511yescharacteristic
1802C2×C4C22×C22⋊D511yescharacteristic
1803C2×C4C22×C22⋊D511yescharacteristic
1804C2×C4C22×C22⋊D511yescharacteristic
1805C2×C4C24×D511yescharacteristic
1806C8—101no—
1807C8—101no—
1808C8—101no—
1809C8—101no—
1810C8—101no—
1811C8—101no—
1812C8—101no—
1813C8—101no—
1814C5#6161111yescharacteristic, complemented, Sylow
1815C22—21no—
1816C22—21no—
1817C22—21no—
1818C22—21no—
1819C22—21no—
1820C22—21no—
1821C22—21no—
1822C22—21no—
1823C22—21no—
1824C22—21no—
1825C22—21no—
1826C22—21no—
1827C22—21no—
1828C22—21no—
1829C22—44no—
1830C22—41no—
1831C22—41no—
1832C22—41no—
1833C22—41no—
1834C22—41no—
1835C22—41no—
1836C22—41no—
1837C22—41no—
1838C22—41no—
1839C22—162no—
1840C22—162no—
1841C22—201no—
1842C22—201no—
1843C22—201no—
1844C22#6617012yes—
1845C22C23×C22⋊D511yescharacteristic
1846C4—21no—
1847C4—21no—
1848C4—21no—
1849C4—21no—
1850C4—21no—
1851C4—21no—
1852C4—21no—
1853C4—21no—
1854C4—21no—
1855C4—41no—
1856C4—41no—
1857C4—41no—
1858C4—41no—
1859C4—41no—
1860C4—102no—
1861C4—102no—
1862C4—201no—
1863C4—201no—
1864C4—201no—
1865C4—201no—
1866C4—201no—
1867C4D5×H(5,𝔽2)11yescharacteristic
1868C4D5×H(5,𝔽2)11yescharacteristic
1869C2—22no—
1870C2—41no—
1871C2—41no—
1872C2—41no—
1873C2—41no—
1874C2—81no—
1875C2—81no—
1876C2—81no—
1877C2—401no—
1878C2C2×#6617011yescharacteristic
1879C2#1061918511yescharacteristic
1880C2#1061920011yescharacteristic
subgroupG/H
centerC22C23×C22⋊D5
commutator, cosocleC2×C4×C5C25
FrattiniC2×C4C24×D5
FittingC5×#3542C2
socleC22×C5C23×D4
hypercenter#3542D5
hypocenterC5#61611
LCSG ▷ C2×C4×C5 ▷ C2×C5 ▷ C5
UCSC1 ◁ C22 ◁ #525 ◁ #3542

Complements

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

NH ≅ G/Ntype
1. C5×#3542C2semidirect
2. #10617923C2semidirect
3. #10615388C2semidirect
4. #10615387C2semidirect
5. #10615352C2semidirect
6. #10615351C2semidirect
7. #10615334C2semidirect
8. #10615333C2semidirect
9. #10615315C2semidirect
10. #10615314C2semidirect
11. #10615263C2semidirect
12. #10615262C2semidirect
13. #10615240C2semidirect
14. #10615239C2semidirect
15. #10615237C2semidirect
16. #10615237C2semidirect
17. D4×#687C2semidirect
18. #10615222C2semidirect
19. #10615198C2semidirect
20. #10615195C2semidirect
21. #10615171C2semidirect
22. #10615170C2semidirect
23. #10615159C2semidirect
24. #10615158C2semidirect
25. #10615123C2semidirect
26. #10615121C2semidirect
27. #10614664C2semidirect
28. #10614661C2semidirect
29. #10614650C2semidirect
30. C2×#65329C2semidirect
31. #10614359C2semidirect
32. C2×#4150C22semidirect
33. C23×Dic10C22semidirect
57. #66159C22semidirect
58. C2×#4097C22semidirect
59. C2×#4097C22semidirect
60. C2×#4097C22semidirect
61. C2×#4096C22semidirect
64. C22×#687C22semidirect
65. C2×#4078C22semidirect
66. #66125C22semidirect
76. #65886C22semidirect
77. #65886C22semidirect
78. #65886C22semidirect
80. D4×Dic10C22semidirect
81. D4×Dic10C22semidirect
82. D4×Dic10C22semidirect
83. #65860C22semidirect
84. #65850C22semidirect
85. #65528C22semidirect
86. #65528C22semidirect
87. #65528C22semidirect
88. #65527C22semidirect
89. #65523C22semidirect
90. #65523C22semidirect
92. #65507C22semidirect
93. #65507C22semidirect
95. #65496C22semidirect
96. C2×C22⋊#168C22semidirect
97. #65383C22semidirect
98. #65382C22semidirect
99. #65380C22semidirect
100. #65378C22semidirect
101. #65365C22semidirect
102. #65364C22semidirect
103. #65364C22semidirect
104. #65363C22semidirect
105. #65358C22semidirect
106. #65357C22semidirect
107. #65352C22semidirect
108. #65352C22semidirect
109. #65349C22semidirect
110. #65348C22semidirect
111. #65343C22semidirect
112. #65343C22semidirect
113. #65341C22semidirect
114. #65340C22semidirect
115. #65340C22semidirect
116. #65339C22semidirect
117. #65339C22semidirect
118. #65339C22semidirect
119. #65339C22semidirect
120. #65339C22semidirect
121. #65337C22semidirect
122. #65336C22semidirect
123. #65336C22semidirect
124. #65334C22semidirect
126. #65331C22semidirect
127. #65331C22semidirect
128. #65331C22semidirect
129. #65331C22semidirect
131. #65330C22semidirect
132. #65330C22semidirect
133. #65330C22semidirect
140. #65329C22semidirect
141. #65329C22semidirect
142. #65329C22semidirect
143. #65329C22semidirect
144. #65329C22semidirect
145. #65329C22semidirect
146. #65329C22semidirect
147. #65329C22semidirect
148. #65329C22semidirect
150. #65328C22semidirect
153. #65326C22semidirect
154. #65326C22semidirect
155. #65326C22semidirect
156. #65326C22semidirect
157. #65326C22semidirect
159. #65324C22semidirect
160. #65324C22semidirect
161. #65320C22semidirect
162. #65319C22semidirect
163. C4×#689C22semidirect
164. #65317C22semidirect
165. #65308C22semidirect
166. #65308C22semidirect
167. #65308C22semidirect
168. #65307C22semidirect
169. #65307C22semidirect
170. #65307C22semidirect
171. C4×#687C22semidirect
172. C4×#687C22semidirect
173. C4×#687C22semidirect
174. #65305C22semidirect
175. #65305C22semidirect
176. #65305C22semidirect
177. #65301C22semidirect
178. #65301C22semidirect
180. #65300C22semidirect
181. #65300C22semidirect
182. #65300C22semidirect
184. D4×#168C22semidirect
185. #65293C22semidirect
186. #65293C22semidirect
187. #65293C22semidirect
188. #65292C22semidirect
189. #65291C22semidirect
190. #65289C22semidirect
191. #65289C22semidirect
192. #65285C22semidirect
193. #65285C22semidirect
194. #65285C22semidirect
195. #65260C22semidirect
196. #65260C22semidirect
197. #65259C22semidirect
198. C2×#3942C22semidirect
199. C2×#3942C22semidirect
200. C2×#3942C22semidirect
201. #65256C22semidirect
202. #65255C22semidirect
491. #3542D5semidirect
1814. C5#61611semidirect

Maximal subgroups

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

subgroupindex
C5×#35422
#106179232
#106153882
#106153872
#106153522
#106153512
#106153342
#106153332
#106153152
#106153142
#106152632
#106152622
#106152402
#106152392
#106152372
D4×#6872
#106152222
#106151982
#106151952
#106151712
#106151702
#106151592
#106151582
#106151232
#106151212
#106146642
#106146612
#106146502
C2×#653292
#106143592
#616115