Finite Group Databasebeta

← #12307149

Subgroups — #12307149

Order 1280.

1950 conjugacy classes of subgroups.

The subgroup lattice has 1542 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C5×#2786C211yesmaximal, characteristic, complemented
2#10609684C211yesmaximal, characteristic, complemented
3#10609604C211yesmaximal, characteristic, complemented
4#10609452C211yesmaximal, characteristic, complemented
5#10609416C211yesmaximal, characteristic, complemented
6#10609406C211yesmaximal, characteristic, complemented
7#10609404C211yesmaximal, characteristic, complemented
8#10609367C211yesmaximal, characteristic, complemented
9#10609360C211yesmaximal, characteristic, complemented
10#10609166C211yesmaximal, characteristic, complemented
11#10609150C211yesmaximal, characteristic, complemented
12#10608856C211yesmaximal, characteristic, complemented
13#10608759C211yesmaximal, characteristic, complemented
14#10608160C211yesmaximal, characteristic, complemented
15#10608123C211yesmaximal, characteristic, complemented
16#10607601C211yesmaximal, characteristic, complemented
17#10607557C211yesmaximal, characteristic, complemented
18#10607485C211yesmaximal, characteristic, complemented
19#10607400C211yesmaximal, characteristic, complemented
20#10607158C211yesmaximal, characteristic, complemented
21#10607150C211yesmaximal, characteristic, complemented
22#10607072C211yesmaximal, characteristic, complemented
23#10606880C211yesmaximal, characteristic, complemented
24#10606751C211yesmaximal, characteristic, complemented
25#10606739C211yesmaximal, characteristic, complemented
26#10606666C211yesmaximal, characteristic
27#10606558C211yesmaximal, characteristic, complemented
28D5×#385C211yesmaximal, characteristic, complemented
29#10606268C211yesmaximal, characteristic, complemented
30#10605780C211yesmaximal, characteristic, complemented
31#10605775C211yesmaximal, characteristic, complemented
32C23×C4×D5C2211yescharacteristic
33C2×#4085C2211yescharacteristic
34C2×#4083C2211yescharacteristic
35C2×#4070C2211yescharacteristic
36C2×#4044C2211yescharacteristic, complemented
37C2×#4043C2211yescharacteristic
38C2×#4043C2211yescharacteristic
39C2×#4039C2211yescharacteristic
40C2×D5×C4⋊C4C2211yescharacteristic
41C2×D5×C4⋊C4C2211yescharacteristic
42C2×#4032C2211yescharacteristic, complemented
43C2×#4030C2211yescharacteristic
44C2×#4030C2211yescharacteristic
45C2×#4028C2211yescharacteristic
46C2×#4027C2211yescharacteristic
47C2×D5×C22⋊C4C2211yescharacteristic
48C2×D5×C22⋊C4C2211yescharacteristic
49C2×#4024C2211yescharacteristic, complemented
50C2×#4016C2211yescharacteristic, complemented
51C5×#398C2211yescharacteristic, complemented
52C5×#397C2211yescharacteristic
53C5×#397C2211yescharacteristic, complemented
54C5×#397C2211yescharacteristic, complemented
55C5×#396C2211yescharacteristic, complemented
56C5×#394C2211yescharacteristic
57C5×#390C2211yescharacteristic
58C5×#388C2211yescharacteristic
59C5×#388C2211yescharacteristic, complemented
60C5×#387C2211yescharacteristic, complemented
61C5×#387C2211yescharacteristic, complemented
62C5×#387C2211yescharacteristic, complemented
63C5×#386C2211yescharacteristic
64C5×#385C2211yescharacteristic
65C5×#380C2211yescharacteristic
66#65511C2211yescharacteristic
67#65509C2211yescharacteristic
68#65502C2211yescharacteristic
69#65499C2211yescharacteristic
70#65283C2211yescharacteristic, complemented
71#65283C2211yescharacteristic, complemented
72#65282C2211yescharacteristic
73#65281C2211yescharacteristic, complemented
74#65280C2211yescharacteristic
75#65279C2211yescharacteristic
76#65279C2211yescharacteristic
77#65278C2211yescharacteristic
78#65278C2211yescharacteristic
79#65278C2211yescharacteristic
80#65278C2211yescharacteristic
81#65278C2211yescharacteristic
82#65278C2211yescharacteristic, complemented
83#65276C2211yescharacteristic
84#65276C2211yescharacteristic
85#65276C2211yescharacteristic, complemented
86#65275C2211yescharacteristic, complemented
87#65275C2211yescharacteristic, complemented
88#65274C2211yescharacteristic, complemented
89#65273C2211yescharacteristic, complemented
90#65271C2211yescharacteristic, complemented
91#65269C2211yescharacteristic, complemented
92#65268C2211yescharacteristic, complemented
93#65267C2211yescharacteristic, complemented
94#65267C2211yescharacteristic, complemented
95#65261C2211yescharacteristic, complemented
96#65250C2211yescharacteristic
97#65250C2211yescharacteristic
98#65250C2211yescharacteristic, complemented
99#65248C2211yescharacteristic
100#65248C2211yescharacteristic
101#65248C2211yescharacteristic, complemented
102#65247C2211yescharacteristic
103#65246C2211yescharacteristic
104#65246C2211yescharacteristic
105#65245C2211yescharacteristic
106#65245C2211yescharacteristic
107#65245C2211yescharacteristic
108#65245C2211yescharacteristic
109#65245C2211yescharacteristic
110#65245C2211yescharacteristic
111#65245C2211yescharacteristic, complemented
112#65244C2211yescharacteristic
113#65244C2211yescharacteristic
114#65242C2211yescharacteristic
115#65242C2211yescharacteristic, complemented
116#65241C2211yescharacteristic
117#65241C2211yescharacteristic
118#65241C2211yescharacteristic, complemented
119#65240C2211yescharacteristic
120#65240C2211yescharacteristic, complemented
121#65239C2211yescharacteristic
122#65239C2211yescharacteristic
123#65239C2211yescharacteristic
124#65239C2211yescharacteristic, complemented
125#65238C2211yescharacteristic, complemented
126#65235C2211yescharacteristic
127#65235C2211yescharacteristic, complemented
128#65234C2211yescharacteristic
129#65234C2211yescharacteristic
130#65233C2211yescharacteristic, complemented
131#65231C2211yescharacteristic
132#65229C2211yescharacteristic
133#65229C2211yescharacteristic, complemented
134#65228C2211yescharacteristic
135C4×#685C2211yescharacteristic
136C4×#685C2211yescharacteristic
137#65226C2211yescharacteristic, complemented
138#65217C2211yescharacteristic, complemented
139#64964C2211yescharacteristic
140#64964C2211yescharacteristic
141#64964C2211yescharacteristic, complemented
142#64963C2211yescharacteristic
143#64963C2211yescharacteristic, complemented
144#64962C2211yescharacteristic, complemented
145#64961C2211yescharacteristic
146#64958C2211yescharacteristic
147#64958C2211yescharacteristic, complemented
148#64957C2211yescharacteristic
149#64957C2211yescharacteristic
150#64957C2211yescharacteristic
151#64957C2211yescharacteristic
152#64957C2211yescharacteristic
153#64957C2211yescharacteristic
154#64957C2211yescharacteristic
155#64957C2211yescharacteristic
156#64957C2211yescharacteristic
157#64956C2211yescharacteristic
158#64956C2211yescharacteristic
159#64954C2211yescharacteristic
160#64954C2211yescharacteristic
161#64954C2211yescharacteristic
162#64954C2211yescharacteristic
163#64954C2211yescharacteristic
164#64954C2211yescharacteristic
165#64953C2211yescharacteristic, complemented
166D5×#95C2211yescharacteristic
167D5×#95C2211yescharacteristic
168C5⋊#401C2211yescharacteristic, complemented
169#64950C2211yescharacteristic, complemented
170#64949C2211yescharacteristic, complemented
171#64949C2211yescharacteristic, complemented
172#64949C2211yescharacteristic, complemented
173#64948C2211yescharacteristic, complemented
174#64948C2211yescharacteristic, complemented
175#64947C2211yescharacteristic, complemented
176#64946C2211yescharacteristic, complemented
177#64946C2211yescharacteristic, complemented
178#64946C2211yescharacteristic, complemented
179#64944C2211yescharacteristic, complemented
180#64943C2211yescharacteristic, complemented
181#64943C2211yescharacteristic, complemented
182#64942C2211yescharacteristic, complemented
183#64942C2211yescharacteristic, complemented
184#64941C2211yescharacteristic, complemented
185#64939C2211yescharacteristic, complemented
186#64935C2211yescharacteristic, complemented
187#36757—51nomaximal, Sylow
188C24×D5C2311yescharacteristic
189C22×C5×D4C2311yescharacteristic
190C23×C4×C5C2311yescharacteristic
191C22×C22⋊D5C2311yescharacteristic
192C22×C22⋊D5C2311yescharacteristic
193C22×C22⋊D5C2311yescharacteristic
194C22×C22⋊D5C2311yescharacteristic
195C23×Dic5C2311yescharacteristic
196C23×Dic5C2311yescharacteristic
197C22×D20C2311yescharacteristic
198C22×D20C2311yescharacteristic
199C22×C4×D5—42no—
200C22×C4×D5—42no—
201C22×C4×D5—42no—
202C22×C4×D5C2311yescharacteristic
203C22×C4×D5C2311yescharacteristic
204C22×C4×D5C2311yescharacteristic
205C22×C4×D5C2311yescharacteristic
206C22×C4×D5C2311yescharacteristic
207C22×C4×D5C2311yescharacteristic
208C22×C4×D5C2311yescharacteristic
209C22×C4×D5C2311yescharacteristic
210C22×C4×D5C2311yescharacteristic
211C22×Dic10C2311yescharacteristic
212C2×C5×C4⋊C4C2311yescharacteristic
213C2×C5×C4⋊C4C2311yescharacteristic
214C2×C5×C4⋊C4C2311yescharacteristic
215C2×C5×C4⋊C4C2311yescharacteristic
216C2×C5×C4⋊C4C2311yescharacteristic
217C2×C5×C4⋊C4C2311yescharacteristic
218C2×C5×C4⋊C4C2311yescharacteristic
219C2×C5×C4⋊C4C2311yescharacteristic
220C2×C5×C22⋊C4C2311yescharacteristic
221C2×C5×C22⋊C4C2311yescharacteristic
222C2×C5×C22⋊C4C2311yescharacteristic
223C2×C5×C22⋊C4C2311yescharacteristic
224C2×C5×C22⋊C4C2311yescharacteristic
225C2×C5×C22⋊C4C2311yescharacteristic
226C2×C5×C22⋊C4C2311yescharacteristic
227C2×C5×C22⋊C4C2311yescharacteristic
228C2×C5×C22⋊C4C2311yescharacteristic
229C2×C5×C22⋊C4C2311yescharacteristic
230C2×C5×C22⋊C4C2311yescharacteristic
231C2×C42×C5C2311yescharacteristic
232C2×C42×C5C2311yescharacteristic
233C2×C22⋊Dic5C2311yescharacteristic
234C2×C22⋊Dic5C2311yescharacteristic
235C2×C22⋊Dic5C2311yescharacteristic
236C2×C22⋊Dic5C2311yescharacteristic
237C2×C22⋊Dic5C2311yescharacteristic
238C2×C22⋊Dic5C2311yescharacteristic
239C2×C22⋊Dic5C2311yescharacteristic
240C2×C22⋊Dic5C2311yescharacteristic
241C2×C22⋊Dic5C2311yescharacteristic
242#4085—42no—
243#4083—24no—
244C2×#685C2311yescharacteristic
245C2×#685C2311yescharacteristic
246C2×#685C2311yescharacteristic
247C2×#685C2311yescharacteristic
248C2×#685C2311yescharacteristic
249C2×#685C2311yescharacteristic
250C2×#685C2311yescharacteristic
251C2×#685C2311yescharacteristic
252C2×#685C2311yescharacteristic
253C2×#685C2311yescharacteristic
254C2×#685C2311yescharacteristic
255C2×#685C2311yescharacteristic
256C2×#685C2311yescharacteristic
257C2×#685C2311yescharacteristic
258C2×#685C2311yescharacteristic
259C2×#685C2311yescharacteristic
260C2×#685C2311yescharacteristic
261C2×#685C2311yescharacteristic
262C2×#685C2311yescharacteristic
263C2×#685C2311yescharacteristic
264C2×#685C2311yescharacteristic
265C2×#685C2311yescharacteristic
266C2×#685C2311yescharacteristic
267C2×#685C2311yescharacteristic
268C2×#685C2311yescharacteristic
269C2×#685C2311yescharacteristic
270C2×C4⋊Dic5C2311yescharacteristic
271C2×C4⋊Dic5C2311yescharacteristic
272C2×C4⋊Dic5C2311yescharacteristic
273C2×C4⋊Dic5C2311yescharacteristic
274C2×C4⋊Dic5C2311yescharacteristic
275C2×C4⋊Dic5C2311yescharacteristic
276C2×C4⋊Dic5C2311yescharacteristic
277C2×C4⋊Dic5C2311yescharacteristic
278C2×C4⋊Dic5C2311yescharacteristic
279C2×C4⋊Dic5C2311yescharacteristic
280#4070—42no—
281C2×#683C2311yescharacteristic
282C2×#683C2311yescharacteristic
283C2×#683C2311yescharacteristic
284C2×#683C2311yescharacteristic
285C2×#683C2311yescharacteristic
286C2×#683C2311yescharacteristic
287C2×#683C2311yescharacteristic
288C2×#683C2311yescharacteristic
289C2×#683C2311yescharacteristic
290C2×#683C2311yescharacteristic
291C2×#683C2311yescharacteristic
292C2×#683C2311yescharacteristic
293C2×#683C2311yescharacteristic
294C2×#683C2311yescharacteristic
295C2×#683C2311yescharacteristic
296C2×#683C2311yescharacteristic
297C2×C4×Dic5C2311yescharacteristic
298C2×C4×Dic5C2311yescharacteristic
299C2×C4×Dic5C2311yescharacteristic
300C2×C4×Dic5C2311yescharacteristic
301#4044—42no—
302#4043—42no—
303#4043—42no—
304#4039—42no—
305D5×C4⋊C4—42no—
306D5×C4⋊C4—42no—
307#4032—42no—
308#4030—42no—
309#4030—42no—
310#4028—24no—
311#4027—42no—
312D5×C22⋊C4—24no—
313D5×C22⋊C4—42no—
314#4024—42no—
315#4016—42no—
316C5×#95C2311yescharacteristic
317C5×#95C2311yescharacteristic
318C5×#95C2311yescharacteristic
319C5×#95C2311yescharacteristic
320C5×#95C2311yescharacteristic
321C5×#95C2311yescharacteristic
322C5×#95C2311yescharacteristic
323C5×#95C2311yescharacteristic
324C5×#95C2311yescharacteristic
325C5×#95C2311yescharacteristic
326C5×#95C2311yescharacteristic
327C5×#95C2311yescharacteristic
328#3963C2311yescharacteristic
329#3963C2311yescharacteristic
330#3963C2311yescharacteristic
331#3963C2311yescharacteristic
332#3963C2311yescharacteristic
333#3963C2311yescharacteristic
334#3963C2311yescharacteristic
335#3963C2311yescharacteristic
336#3963C2311yescharacteristic
337#3963C2311yescharacteristic
338#3963C2311yescharacteristic
339#3963C2311yescharacteristic
340#3963C2311yescharacteristic
341#3963C2311yescharacteristic
342#3963C2311yescharacteristic
343#3963C2311yescharacteristic
344#3963C2311yescharacteristic
345#3963C2311yescharacteristic
346#3963C2311yescharacteristic
347#3963C2311yescharacteristic
348#3963C2311yescharacteristic
349#3963C2311yescharacteristic
350#3963C2311yescharacteristic
351#3963C2311yescharacteristic
352#3963C2311yescharacteristic
353#3963C2311yescharacteristic
354#3963C2311yescharacteristic
355#3963C2311yescharacteristic
356#3963C2311yescharacteristic
357#3963C2311yescharacteristic
358#3963C2311yescharacteristic
359#3963C2311yescharacteristic
360#3963C2311yescharacteristic
361#3963C2311yescharacteristic
362#3963C2311yescharacteristic
363#3963C2311yescharacteristic
364#2848—51no—
365#2847—51no—
366#2796—51no—
367#2787—51no—
368#2786D511yescharacteristic, complemented
369#2782—51no—
370#2770—51no—
371#2757—51no—
372#2750—51no—
373#2747—51no—
374#2746—51no—
375#2728—51no—
376#2723—51no—
377#2711—51no—
378#2708—51no—
379#2691—51no—
380#2690—51no—
381#2681—51no—
382#2622—51no—
383#2622—51no—
384#2510—51no—
385#2505—51no—
386#2481—51no—
387#2473—51no—
388#2450—51no—
389#2449—51no—
390#2444—51no—
391#2443—51no—
392#2321—51no—
393#2321—51no—
394C2×#385—51no—
395C24×C5C2411yescharacteristic
396C24×C5C2411yescharacteristic
397C23×D5—22no—
398C23×D5—22no—
399C23×D5—41no—
400C23×D5—41no—
401C23×D5—41no—
402C23×D5—41no—
403C23×D5#4114yes—
404C23×D5C2411yescharacteristic
405C23×D5C2411yescharacteristic
406C23×D5C2411yescharacteristic
407C2×C5×D4—22no—
408C2×C5×D4—41no—
409C2×C5×D4—41no—
410C22×C4×C5—22no—
411C22×C4×C5—41no—
412C22×C4×C5—41no—
413C22×C4×C5C2411yescharacteristic
414C22×C4×C5C2411yescharacteristic
415C22×C4×C5C2411yescharacteristic
416C22×C4×C5C2411yescharacteristic
417C22×C4×C5C2411yescharacteristic
418C22×C4×C5C2411yescharacteristic
419C22×C4×C5C2411yescharacteristic
420C22×C4×C5C2411yescharacteristic
421C22×C4×C5C2411yescharacteristic
422C22×C4×C5C2411yescharacteristic
423C22×C4×C5C2411yescharacteristic
424C22×C4×C5C2411yescharacteristic
425C22×C4×C5C2411yescharacteristic
426C2×C22⋊D5—22no—
427C2×C22⋊D5—22no—
428C2×C22⋊D5—22no—
429C2×C22⋊D5—22no—
430C2×C22⋊D5—22no—
431C2×C22⋊D5—22no—
432C2×C22⋊D5—41no—
433C2×C22⋊D5—41no—
434C2×C22⋊D5—41no—
435C2×C22⋊D5—41no—
436C2×C22⋊D5—41no—
437C2×C22⋊D5—41no—
438C22×Dic5—22no—
439C22×Dic5—41no—
440C22×Dic5—41no—
441C22×Dic5—41no—
442C22×Dic5—41no—
443C22×Dic5—41no—
444C22×Dic5C2411yescharacteristic
445C22×Dic5C2411yescharacteristic
446C22×Dic5C2411yescharacteristic
447C22×Dic5C2411yescharacteristic
448C22×Dic5C2411yescharacteristic
449C22×Dic5C2411yescharacteristic
450C22×Dic5C2411yescharacteristic
451C22×Dic5C2411yescharacteristic
452C22×Dic5C2411yescharacteristic
453C22×Dic5C2411yescharacteristic
454C22×Dic5C2411yescharacteristic
455C22×Dic5C2411yescharacteristic
456C22×Dic5C2411yescharacteristic
457C2×D20—22no—
458C2×D20—22no—
459C2×D20—22no—
460C2×D20—22no—
461C2×D20—41no—
462C2×D20—41no—
463C2×C4×D5—22no—
464C2×C4×D5—22no—
465C2×C4×D5—22no—
466C2×C4×D5—22no—
467C2×C4×D5—22no—
468C2×C4×D5—22no—
469C2×C4×D5—22no—
470C2×C4×D5—22no—
471C2×C4×D5—22no—
472C2×C4×D5—22no—
473C2×C4×D5—41no—
474C2×C4×D5—41no—
475C2×C4×D5—41no—
476C2×C4×D5—41no—
477C2×C4×D5—41no—
478C2×C4×D5—41no—
479C2×C4×D5—41no—
480C2×C4×D5—41no—
481C2×C4×D5—41no—
482C2×C4×D5—41no—
483C2×C4×D5—416no—
484C2×C4×D5—41no—
485C2×C4×D5—41no—
486C2×C4×D5—41no—
487C2×C4×D5—41no—
488C2×C4×D5—41no—
489C2×C4×D5—41no—
490C2×C4×D5—41no—
491C2×Dic10—22no—
492C2×Dic10—41no—
493C2×Dic10—41no—
494C5×C4⋊C4—22no—
495C5×C4⋊C4—41no—
496C5×C4⋊C4—41no—
497C5×C4⋊C4—41no—
498C5×C4⋊C4—41no—
499C5×C4⋊C4—41no—
500C5×C4⋊C4—41no—
501C5×C4⋊C4—41no—
502C5×C22⋊C4—22no—
503C5×C22⋊C4—22no—
504C5×C22⋊C4—22no—
505C5×C22⋊C4—41no—
506C5×C22⋊C4—41no—
507C5×C22⋊C4—41no—
508C5×C22⋊C4—41no—
509C5×C22⋊C4—41no—
510C5×C22⋊C4—41no—
511C5×C22⋊C4—41no—
512C5×C22⋊C4—41no—
513C42×C5—41no—
514C42×C5—41no—
515C22⋊Dic5—22no—
516C22⋊Dic5—22no—
517C22⋊Dic5—41no—
518C22⋊Dic5—41no—
519C22⋊Dic5—41no—
520C22⋊Dic5—41no—
521C22⋊Dic5—41no—
522C22⋊Dic5—41no—
523C22⋊Dic5—41no—
524#685—22no—
525#685—22no—
526#685—22no—
527#685—22no—
528#685—22no—
529#685—22no—
530#685—22no—
531#685—22no—
532#685—22no—
533#685—22no—
534#685—22no—
535#685—41no—
536#685—41no—
537#685—41no—
538#685—41no—
539#685—41no—
540#685—41no—
541#685—41no—
542#685—41no—
543#685—41no—
544#685—41no—
545#685—41no—
546#685—41no—
547#685—41no—
548#685—41no—
549#685—41no—
550C4⋊Dic5—22no—
551C4⋊Dic5—22no—
552C4⋊Dic5—22no—
553C4⋊Dic5—22no—
554C4⋊Dic5—41no—
555C4⋊Dic5—41no—
556C4⋊Dic5—41no—
557C4⋊Dic5—41no—
558C4⋊Dic5—41no—
559C4⋊Dic5—41no—
560#683—22no—
561#683—22no—
562#683—22no—
563#683—41no—
564#683—41no—
565#683—41no—
566#683—41no—
567#683—41no—
568#683—41no—
569#683—41no—
570#683—41no—
571#683—41no—
572#683—41no—
573#683—41no—
574#683—41no—
575#683—41no—
576C4×Dic5—41no—
577C4×Dic5—41no—
578C4×Dic5—41no—
579C4×Dic5—41no—
580C24×C4—51no—
581C2×#126—51no—
582C2×#125—51no—
583C2×#123—51no—
584C2×C22⋊Q8—51no—
585C2×C22⋊Q8—51no—
586C2×C22⋊Q8—51no—
587C2×C22⋊Q8—51no—
588C2×#121—51no—
589C2×#121—51no—
590C2×#121—51no—
591C2×#120—51no—
592C2×#120—51no—
593C2×C4×D4—51no—
594C2×C4×D4—51no—
595C22×C4⋊C4—51no—
596C22×C4⋊C4—51no—
597C22×C22⋊C4—51no—
598C22×C22⋊C4—51no—
599#401—51no—
600#400—51no—
601#400—51no—
602#400—51no—
603#400—51no—
604#400—51no—
605#400—51no—
606#400—51no—
607#400—51no—
608#400—51no—
609#399—51no—
610#399—51no—
611#398—51no—
612#398—51no—
613#398—51no—
614#398—51no—
615#398—51no—
616#398—51no—
617#398C2×D511yescharacteristic, complemented
618#397—51no—
619#397—51no—
620#397—51no—
621#397—51no—
622#397—51no—
623#397—51no—
624#397—51no—
625#397—51no—
626#397—51no—
627#397—51no—
628#397—51no—
629#397C2×D511yescharacteristic
630#397C2×D511yescharacteristic, complemented
631#397C2×D511yescharacteristic, complemented
632#396—51no—
633#396—51no—
634#396C2×D511yescharacteristic, complemented
635#395—51no—
636#394—51no—
637#394—51no—
638#394—51no—
639#394—51no—
640#394—51no—
641#394—51no—
642#394—51no—
643#394—51no—
644#394—51no—
645#394C2×D511yescharacteristic
646#393—51no—
647#391—51no—
648#390—51no—
649#390—51no—
650#390—51no—
651#390C2×D511yescharacteristic
652#389—51no—
653#389—51no—
654#389—51no—
655#388—51no—
656#388—51no—
657#388—51no—
658#388—51no—
659#388—51no—
660#388—51no—
661#388—51no—
662#388—51no—
663#388—51no—
664#388—51no—
665#388—51no—
666#388C2×D511yescharacteristic
667#388C2×D511yescharacteristic, complemented
668#387—51no—
669#387—51no—
670#387—51no—
671#387—51no—
672#387—51no—
673#387—51no—
674#387—51no—
675#387—51no—
676#387C2×D511yescharacteristic, complemented
677#387C2×D511yescharacteristic, complemented
678#387C2×D511yescharacteristic, complemented
679#386—51no—
680#386—51no—
681#386—51no—
682#386—51no—
683#386—51no—
684#386—51no—
685#386—51no—
686#386—51no—
687#386—51no—
688#386—51no—
689#386—51no—
690#386—51no—
691#386—51no—
692#386—51no—
693#386—51no—
694#386—51no—
695#386C2×D511yescharacteristic
696#385—51no—
697#385—51no—
698#385—51no—
699#385—51no—
700#385—51no—
701#385—51no—
702#385—51no—
703#385—51no—
704#385—51no—
705#385—51no—
706#385—51no—
707#385—51no—
708#385—51no—
709#385—51no—
710#385—51no—
711#385—51no—
712#385—51no—
713#385—51no—
714#385—51no—
715#385—51no—
716#385—51no—
717#385—51no—
718#385C2×D511yescharacteristic
719#383—51no—
720#382—51no—
721#381—51no—
722#380—51no—
723#380—51no—
724#380—51no—
725#380—51no—
726#380—51no—
727#380—51no—
728#380C2×D511yescharacteristic
729#379—51no—
730#379—51no—
731C4×C22⋊C4—51no—
732C4×C22⋊C4—51no—
733C2×#95—51no—
734C2×#95—51no—
735C23×C5—21no—
736C23×C5—21no—
737C23×C5—21no—
738C23×C5—21no—
739C23×C5—21no—
740C23×C5—21no—
741C23×C5—21no—
742C23×C5—21no—
743C23×C5—21no—
744C23×C5—21no—
745C23×C5—21no—
746C23×C5—21no—
747C23×C5—21no—
748C23×C5C2×#4112yes—
749C23×C5C2511yescharacteristic
750C22×D5—21no—
751C22×D5—21no—
752C22×D5—21no—
753C22×D5—21no—
754C22×D5—21no—
755C22×D5—21no—
756C22×D5—21no—
757C22×D5—21no—
758C22×D5—21no—
759C22×D5—21no—
760C22×D5—28no—
761C22×D5—21no—
762C22×D5—21no—
763C22×D5—21no—
764C22×D5—21no—
765C22×D5—21no—
766C22×D5—21no—
767C22×D5—21no—
768C22×D5—44no—
769C22×D5—44no—
770C22×D5—44no—
771C22×D5—44no—
772C22×D5—44no—
773C22×D5—44no—
774C22×D5C2×#4112yes—
775C22×D5C2×#4112yes—
776C22×D5H(5,𝔽2)12yes—
777C22×D52−1+412yes—
778C5×D4—82no—
779C2×C4×C5—21no—
780C2×C4×C5—21no—
781C2×C4×C5—21no—
782C2×C4×C5—21no—
783C2×C4×C5—21no—
784C2×C4×C5—21no—
785C2×C4×C5—21no—
786C2×C4×C5—21no—
787C2×C4×C5—21no—
788C2×C4×C5—21no—
789C2×C4×C5—21no—
790C2×C4×C5—21no—
791C2×C4×C5—21no—
792C2×C4×C5—21no—
793C2×C4×C5—21no—
794C2×C4×C5—21no—
795C2×C4×C5—21no—
796C2×C4×C5—21no—
797C2×C4×C5—21no—
798C2×C4×C5—21no—
799C2×C4×C5—21no—
800C2×C4×C5—21no—
801C2×C4×C5—21no—
802C2×C4×C5—21no—
803C2×C4×C5—21no—
804C2×C4×C5—21no—
805C2×C4×C5—21no—
806C2×C4×C5—21no—
807C2×C4×C5—21no—
808C2×C4×C5—21no—
809C2×C4×C5—21no—
810C2×C4×C5—21no—
811C2×C4×C5—21no—
812C2×C4×C5—21no—
813C2×C4×C5—21no—
814C2×C4×C5—21no—
815C2×C4×C5—21no—
816C2×C4×C5—21no—
817C2×C4×C5—44no—
818C2×C4×C5H(5,𝔽2)12yes—
819C22⋊D5—44no—
820C22⋊D5—82no—
821C22⋊D5—82no—
822C22⋊D5—82no—
823C2×Dic5—21no—
824C2×Dic5—21no—
825C2×Dic5—21no—
826C2×Dic5—21no—
827C2×Dic5—21no—
828C2×Dic5—21no—
829C2×Dic5—21no—
830C2×Dic5—21no—
831C2×Dic5—21no—
832C2×Dic5—21no—
833C2×Dic5—21no—
834C2×Dic5—21no—
835C2×Dic5—21no—
836C2×Dic5—21no—
837C2×Dic5—21no—
838C2×Dic5—21no—
839C2×Dic5—21no—
840C2×Dic5—21no—
841C2×Dic5—21no—
842C2×Dic5—21no—
843C2×Dic5—21no—
844C2×Dic5—21no—
845C2×Dic5—21no—
846C2×Dic5—21no—
847C2×Dic5—21no—
848C2×Dic5—21no—
849C2×Dic5—21no—
850C2×Dic5—21no—
851C2×Dic5—21no—
852C2×Dic5—21no—
853C2×Dic5—21no—
854C2×Dic5—21no—
855C2×Dic5—21no—
856C2×Dic5—21no—
857C2×Dic5—21no—
858C2×Dic5—21no—
859C2×Dic5—21no—
860C2×Dic5—21no—
861C2×Dic5—44no—
862C2×Dic5—82no—
863C2×Dic5H(5,𝔽2)12yes—
864D20—44no—
865D20—82no—
866C4×D5—44no—
867C4×D5—44no—
868C4×D5—44no—
869C4×D5—44no—
870C4×D5—44no—
871C4×D5—44no—
872C4×D5—82no—
873C4×D5—82no—
874C4×D5—82no—
875Dic10—82no—
876C25—51no—
877C22×Q8—51no—
878C22×D4—51no—
879C22×D4—51no—
880C22×D4—51no—
881C22×D4—51no—
882C22×D4—51no—
883C22×D4—51no—
884C22×D4C22×D511yescharacteristic
885C23×C4—51no—
886C23×C4—51no—
887C23×C4—51no—
888C23×C4—51no—
889C23×C4—51no—
890C23×C4—51no—
891C23×C4—51no—
892C23×C4—51no—
893C23×C4—51no—
894C23×C4—51no—
895C23×C4—51no—
896C23×C4—202no—
897C23×C4—202no—
898C23×C4—202no—
899C23×C4C22×D511yescharacteristic
900#126—202no—
901#125—202no—
902#123—202no—
903C22⋊Q8—202no—
904C22⋊Q8—202no—
905C22⋊Q8—202no—
906C22⋊Q8—202no—
907#121—202no—
908#121—202no—
909#121—202no—
910#120—104no—
911#120—104no—
912C4×D4—202no—
913C4×D4—202no—
914C2×C4⋊C4—51no—
915C2×C4⋊C4—51no—
916C2×C4⋊C4—51no—
917C2×C4⋊C4—51no—
918C2×C4⋊C4—51no—
919C2×C4⋊C4—51no—
920C2×C4⋊C4—51no—
921C2×C4⋊C4—51no—
922C2×C4⋊C4—51no—
923C2×C4⋊C4—51no—
924C2×C4⋊C4—51no—
925C2×C4⋊C4—51no—
926C2×C4⋊C4—51no—
927C2×C4⋊C4—51no—
928C2×C4⋊C4—51no—
929C2×C4⋊C4—51no—
930C2×C4⋊C4—51no—
931C2×C4⋊C4—51no—
932C2×C4⋊C4—51no—
933C2×C4⋊C4—51no—
934C2×C4⋊C4—51no—
935C2×C4⋊C4—51no—
936C2×C4⋊C4—51no—
937C2×C4⋊C4—51no—
938C2×C4⋊C4—51no—
939C2×C4⋊C4—51no—
940C2×C4⋊C4—202no—
941C2×C4⋊C4—202no—
942C2×C4⋊C4C22×D511yescharacteristic
943C2×C4⋊C4C22×D511yescharacteristic
944C2×C4⋊C4C22×D511yescharacteristic
945C2×C4⋊C4C22×D511yescharacteristic
946C2×C4⋊C4C22×D511yescharacteristic
947C2×C4⋊C4C22×D511yescharacteristic
948C2×C4⋊C4C22×D511yescharacteristic
949C2×C4⋊C4C22×D511yescharacteristic
950C2×C22⋊C4—51no—
951C2×C22⋊C4—51no—
952C2×C22⋊C4—51no—
953C2×C22⋊C4—51no—
954C2×C22⋊C4—51no—
955C2×C22⋊C4—51no—
956C2×C22⋊C4—51no—
957C2×C22⋊C4—51no—
958C2×C22⋊C4—51no—
959C2×C22⋊C4—51no—
960C2×C22⋊C4—51no—
961C2×C22⋊C4—51no—
962C2×C22⋊C4—51no—
963C2×C22⋊C4—51no—
964C2×C22⋊C4—51no—
965C2×C22⋊C4—51no—
966C2×C22⋊C4—51no—
967C2×C22⋊C4—51no—
968C2×C22⋊C4—51no—
969C2×C22⋊C4—51no—
970C2×C22⋊C4—51no—
971C2×C22⋊C4—51no—
972C2×C22⋊C4—51no—
973C2×C22⋊C4—51no—
974C2×C22⋊C4—51no—
975C2×C22⋊C4—51no—
976C2×C22⋊C4—51no—
977C2×C22⋊C4—51no—
978C2×C22⋊C4—51no—
979C2×C22⋊C4—51no—
980C2×C22⋊C4—51no—
981C2×C22⋊C4—51no—
982C2×C22⋊C4—51no—
983C2×C22⋊C4—51no—
984C2×C22⋊C4—51no—
985C2×C22⋊C4—104no—
986C2×C22⋊C4—202no—
987C2×C22⋊C4C22×D511yescharacteristic
988C2×C22⋊C4C22×D511yescharacteristic
989C2×C22⋊C4C22×D511yescharacteristic
990C2×C22⋊C4C22×D511yescharacteristic
991C2×C22⋊C4C22×D511yescharacteristic
992C2×C22⋊C4C22×D511yescharacteristic
993C2×C22⋊C4C22×D511yescharacteristic
994C2×C22⋊C4C22×D511yescharacteristic
995C2×C22⋊C4C22×D511yescharacteristic
996C2×C22⋊C4C22×D511yescharacteristic
997C2×C22⋊C4C22×D511yescharacteristic
998C2×C42—51no—
999C2×C42—51no—
1000C2×C42—51no—
1001C2×C42—51no—
1002C2×C42C22×D511yescharacteristic
1003C2×C42C22×D511yescharacteristic
1004#95—51no—
1005#95—51no—
1006#95—51no—
1007#95—51no—
1008#95—51no—
1009#95—51no—
1010#95—51no—
1011#95—51no—
1012#95—51no—
1013#95—51no—
1014#95—51no—
1015#95—51no—
1016#95—51no—
1017#95—51no—
1018#95—51no—
1019#95—51no—
1020#95—51no—
1021#95—51no—
1022#95—51no—
1023#95—51no—
1024#95—51no—
1025#95—51no—
1026#95—51no—
1027#95—51no—
1028#95—51no—
1029#95—51no—
1030#95—51no—
1031#95—51no—
1032#95—51no—
1033#95—51no—
1034#95—51no—
1035#95—51no—
1036#95—51no—
1037#95—51no—
1038#95—51no—
1039#95—51no—
1040#95C22×D511yescharacteristic
1041#95C22×D511yescharacteristic
1042#95C22×D511yescharacteristic
1043#95C22×D511yescharacteristic
1044#95C22×D511yescharacteristic
1045#95C22×D511yescharacteristic
1046#95C22×D511yescharacteristic
1047#95C22×D511yescharacteristic
1048#95C22×D511yescharacteristic
1049#95C22×D511yescharacteristic
1050#95C22×D511yescharacteristic
1051#95C22×D511yescharacteristic
1052C22×C5—22no—
1053C22×C5—22no—
1054C22×C5—22no—
1055C22×C5—41no—
1056C22×C5—41no—
1057C22×C5—41no—
1058C22×C5—41no—
1059C22×C5—41no—
1060C22×C5—41no—
1061C22×C5—41no—
1062C22×C5—41no—
1063C22×C5—41no—
1064C22×C5—41no—
1065C22×C5—41no—
1066C22×C5C22×#4111yescharacteristic
1067C22×C5C2×H(5,𝔽2)11yescharacteristic
1068C22×C5C2×H(5,𝔽2)11yescharacteristic
1069C22×C5C2×H(5,𝔽2)11yescharacteristic
1070C22×C5C2×2−1+411yescharacteristic
1071C22×C5#58511yescharacteristic
1072C22×C5#58511yescharacteristic
1073C2×D5—22no—
1074C2×D5—22no—
1075C2×D5—22no—
1076C2×D5—22no—
1077C2×D5—22no—
1078C2×D5—22no—
1079C2×D5—22no—
1080C2×D5—22no—
1081C2×D5—22no—
1082C2×D5—416no—
1083C2×D5—41no—
1084C2×D5—41no—
1085C2×D5—41no—
1086C2×D5—41no—
1087C2×D5—41no—
1088C2×D5—41no—
1089C2×D5—41no—
1090C2×D5—41no—
1091C2×D5—41no—
1092C2×D5—41no—
1093C2×D5—41no—
1094C2×D5#53914yes—
1095C4×C5—22no—
1096C4×C5—41no—
1097C4×C5—41no—
1098C4×C5—41no—
1099C4×C5—41no—
1100C4×C5—41no—
1101C4×C5—41no—
1102C4×C5—41no—
1103C4×C5—41no—
1104C4×C5—41no—
1105C4×C5—41no—
1106C4×C5—41no—
1107C4×C5—41no—
1108Dic5—22no—
1109Dic5—41no—
1110Dic5—41no—
1111Dic5—41no—
1112Dic5—41no—
1113Dic5—41no—
1114Dic5—41no—
1115Dic5—41no—
1116Dic5—41no—
1117Dic5—41no—
1118Dic5—41no—
1119Dic5—41no—
1120Dic5—41no—
1121C24—51no—
1122C24—51no—
1123C24—54no—
1124C24—51no—
1125C24—102no—
1126C24—102no—
1127C24—201no—
1128C24—201no—
1129C24—201no—
1130C24—201no—
1131C24C23×D511yescharacteristic
1132C24C23×D511yescharacteristic
1133C2×Q8—102no—
1134C2×Q8—201no—
1135C2×Q8—201no—
1136C2×D4—22no—
1137C2×D4—41no—
1138C2×D4—41no—
1139C2×D4—102no—
1140C2×D4—102no—
1141C2×D4—102no—
1142C2×D4—102no—
1143C2×D4—102no—
1144C2×D4—102no—
1145C2×D4—102no—
1146C2×D4—102no—
1147C2×D4—102no—
1148C2×D4—102no—
1149C2×D4—201no—
1150C2×D4—201no—
1151C2×D4—201no—
1152C2×D4—201no—
1153C2×D4—201no—
1154C2×D4—201no—
1155C2×D4—201no—
1156C2×D4—201no—
1157C22×C4—22no—
1158C22×C4—41no—
1159C22×C4—41no—
1160C22×C4—51no—
1161C22×C4—51no—
1162C22×C4—51no—
1163C22×C4—51no—
1164C22×C4—51no—
1165C22×C4—51no—
1166C22×C4—51no—
1167C22×C4—51no—
1168C22×C4—51no—
1169C22×C4—51no—
1170C22×C4—51no—
1171C22×C4—51no—
1172C22×C4—51no—
1173C22×C4—102no—
1174C22×C4—102no—
1175C22×C4—102no—
1176C22×C4—102no—
1177C22×C4—102no—
1178C22×C4—102no—
1179C22×C4—102no—
1180C22×C4—102no—
1181C22×C4—102no—
1182C22×C4—102no—
1183C22×C4—102no—
1184C22×C4—201no—
1185C22×C4—201no—
1186C22×C4—201no—
1187C22×C4—201no—
1188C22×C4—201no—
1189C22×C4—201no—
1190C22×C4—201no—
1191C22×C4—201no—
1192C22×C4—201no—
1193C22×C4—201no—
1194C22×C4—201no—
1195C22×C4—201no—
1196C22×C4—201no—
1197C22×C4—201no—
1198C22×C4—201no—
1199C22×C4—201no—
1200C22×C4—201no—
1201C22×C4—2016no—
1202C22×C4—201no—
1203C22×C4—201no—
1204C22×C4—201no—
1205C22×C4—201no—
1206C22×C4—201no—
1207C22×C4C23×D511yescharacteristic
1208C22×C4C23×D511yescharacteristic
1209C22×C4C23×D511yescharacteristic
1210C22×C4C23×D511yescharacteristic
1211C22×C4C23×D511yescharacteristic
1212C22×C4C23×D511yescharacteristic
1213C22×C4C23×D511yescharacteristic
1214C22×C4C23×D511yescharacteristic
1215C22×C4C23×D511yescharacteristic
1216C22×C4C23×D511yescharacteristic
1217C22×C4C23×D511yescharacteristic
1218C22×C4C23×D511yescharacteristic
1219C22×C4C23×D511yescharacteristic
1220C4⋊C4—22no—
1221C4⋊C4—41no—
1222C4⋊C4—41no—
1223C4⋊C4—41no—
1224C4⋊C4—41no—
1225C4⋊C4—41no—
1226C4⋊C4—41no—
1227C4⋊C4—41no—
1228C4⋊C4—102no—
1229C4⋊C4—102no—
1230C4⋊C4—102no—
1231C4⋊C4—102no—
1232C4⋊C4—102no—
1233C4⋊C4—102no—
1234C4⋊C4—102no—
1235C4⋊C4—201no—
1236C4⋊C4—201no—
1237C4⋊C4—201no—
1238C4⋊C4—201no—
1239C4⋊C4—201no—
1240C4⋊C4—201no—
1241C4⋊C4—201no—
1242C4⋊C4—201no—
1243C4⋊C4—201no—
1244C4⋊C4—201no—
1245C4⋊C4—201no—
1246C4⋊C4—201no—
1247C4⋊C4—201no—
1248C4⋊C4—201no—
1249C4⋊C4—201no—
1250C4⋊C4—201no—
1251C4⋊C4—201no—
1252C4⋊C4—201no—
1253C4⋊C4—201no—
1254C22⋊C4—22no—
1255C22⋊C4—22no—
1256C22⋊C4—22no—
1257C22⋊C4—41no—
1258C22⋊C4—41no—
1259C22⋊C4—41no—
1260C22⋊C4—41no—
1261C22⋊C4—41no—
1262C22⋊C4—41no—
1263C22⋊C4—41no—
1264C22⋊C4—41no—
1265C22⋊C4—102no—
1266C22⋊C4—102no—
1267C22⋊C4—102no—
1268C22⋊C4—102no—
1269C22⋊C4—102no—
1270C22⋊C4—102no—
1271C22⋊C4—102no—
1272C22⋊C4—102no—
1273C22⋊C4—102no—
1274C22⋊C4—102no—
1275C22⋊C4—102no—
1276C22⋊C4—102no—
1277C22⋊C4—102no—
1278C22⋊C4—201no—
1279C22⋊C4—201no—
1280C22⋊C4—201no—
1281C22⋊C4—201no—
1282C22⋊C4—201no—
1283C22⋊C4—201no—
1284C22⋊C4—201no—
1285C22⋊C4—201no—
1286C22⋊C4—201no—
1287C22⋊C4—201no—
1288C22⋊C4—201no—
1289C22⋊C4—201no—
1290C22⋊C4—201no—
1291C22⋊C4—201no—
1292C22⋊C4—201no—
1293C22⋊C4—201no—
1294C22⋊C4—201no—
1295C22⋊C4—201no—
1296C22⋊C4—201no—
1297C22⋊C4—201no—
1298C22⋊C4—201no—
1299C22⋊C4—201no—
1300C42—41no—
1301C42—41no—
1302C42—201no—
1303C42—201no—
1304C42—201no—
1305C42—201no—
1306C2×C5—42no—
1307C2×C5—81no—
1308C2×C5C2×#53911yescharacteristic
1309C2×C5#350511yescharacteristic
1310C2×C5#350511yescharacteristic
1311C2×C5#353211yescharacteristic
1312C2×C5#353311yescharacteristic
1313C2×C5#354111yescharacteristic
1314C2×C5#354111yescharacteristic
1315D5—24no—
1316D5—42no—
1317D5—81no—
1318C23—21no—
1319C23—21no—
1320C23—21no—
1321C23—21no—
1322C23—21no—
1323C23—21no—
1324C23—21no—
1325C23—21no—
1326C23—21no—
1327C23—21no—
1328C23—21no—
1329C23—21no—
1330C23—21no—
1331C23—52no—
1332C23—52no—
1333C23—52no—
1334C23—52no—
1335C23—108no—
1336C23—101no—
1337C23—101no—
1338C23—101no—
1339C23—101no—
1340C23—101no—
1341C23—101no—
1342C23—101no—
1343C23—101no—
1344C23—101no—
1345C23—101no—
1346C23—101no—
1347C23—101no—
1348C23—101no—
1349C23—101no—
1350C23—101no—
1351C23—101no—
1352C23—101no—
1353C23—204no—
1354C23—204no—
1355C23—204no—
1356C23—204no—
1357C23—204no—
1358C23—204no—
1359C23D5×#4112yes—
1360C23C24×D511yescharacteristic
1361Q8—402no—
1362D4—82no—
1363D4—204no—
1364D4—204no—
1365D4—402no—
1366D4—402no—
1367D4—402no—
1368D4—402no—
1369C2×C4—21no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—44no—
1408C2×C4—52no—
1409C2×C4—101no—
1410C2×C4—101no—
1411C2×C4—101no—
1412C2×C4—101no—
1413C2×C4—101no—
1414C2×C4—101no—
1415C2×C4—101no—
1416C2×C4—101no—
1417C2×C4—101no—
1418C2×C4—101no—
1419C2×C4—101no—
1420C2×C4—101no—
1421C2×C4—101no—
1422C2×C4—101no—
1423C2×C4—101no—
1424C2×C4—101no—
1425C2×C4—101no—
1426C2×C4—101no—
1427C2×C4—101no—
1428C2×C4—101no—
1429C2×C4—101no—
1430C2×C4—101no—
1431C2×C4—101no—
1432C2×C4—101no—
1433C2×C4—101no—
1434C2×C4—101no—
1435C2×C4—101no—
1436C2×C4—101no—
1437C2×C4—101no—
1438C2×C4—101no—
1439C2×C4—101no—
1440C2×C4—101no—
1441C2×C4—101no—
1442C2×C4—101no—
1443C2×C4—101no—
1444C2×C4—101no—
1445C2×C4—101no—
1446C2×C4—101no—
1447C2×C4—204no—
1448C2×C4—204no—
1449C2×C4—204no—
1450C2×C4—204no—
1451C2×C4—204no—
1452C2×C4—204no—
1453C2×C4—204no—
1454C2×C4—402no—
1455C2×C4—402no—
1456C2×C4—402no—
1457C2×C4—402no—
1458C2×C4#414912yes—
1459C5#3675711yescharacteristic, complemented, Sylow
1460C22—22no—
1461C22—22no—
1462C22—22no—
1463C22—41no—
1464C22—41no—
1465C22—41no—
1466C22—41no—
1467C22—41no—
1468C22—41no—
1469C22—41no—
1470C22—41no—
1471C22—41no—
1472C22—41no—
1473C22—41no—
1474C22—54no—
1475C22—102no—
1476C22—102no—
1477C22—102no—
1478C22—102no—
1479C22—102no—
1480C22—102no—
1481C22—102no—
1482C22—102no—
1483C22—102no—
1484C22—2016no—
1485C22—201no—
1486C22—201no—
1487C22—201no—
1488C22—201no—
1489C22—201no—
1490C22—201no—
1491C22—201no—
1492C22—201no—
1493C22—201no—
1494C22—201no—
1495C22—201no—
1496C22C2×D5×#4111yescharacteristic
1497C22C2×#414911yescharacteristic
1498C22#6628311yescharacteristic
1499C22D5×H(5,𝔽2)11yescharacteristic
1500C22D5×H(5,𝔽2)11yescharacteristic
1501C22#6628511yescharacteristic
1502C22D5×2−1+411yescharacteristic
1503C4—22no—
1504C4—41no—
1505C4—41no—
1506C4—41no—
1507C4—41no—
1508C4—41no—
1509C4—41no—
1510C4—41no—
1511C4—41no—
1512C4—41no—
1513C4—41no—
1514C4—41no—
1515C4—41no—
1516C4—102no—
1517C4—201no—
1518C4—201no—
1519C4—201no—
1520C4—201no—
1521C4—201no—
1522C4—201no—
1523C4—201no—
1524C4—201no—
1525C4—201no—
1526C4—201no—
1527C4—201no—
1528C4—201no—
1529C2—42no—
1530C2—81no—
1531C2—104no—
1532C2—202no—
1533C2—401no—
1534C2#1061831911yescharacteristic
1535C2D5×#53911yescharacteristic
1536C2#1061839011yescharacteristic
1537C2#1061871811yescharacteristic
1538C2#1061881211yescharacteristic
1539C2#1061889511yescharacteristic
1540C2#1061899711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D5
commutator, socle, cosocleC23×C5C25
FittingC5×#2786C2
prime radical#10606666C2
hypercenter#2786D5
hypocenterC5#36757
LCSG ▷ C23×C5 ▷ C5
UCSC1 ◁ C23 ◁ #2786

Complements

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

NH ≅ G/Ntype
1. C5×#2786C2semidirect
2. #10609684C2semidirect
3. #10609604C2semidirect
4. #10609452C2semidirect
5. #10609416C2semidirect
6. #10609406C2semidirect
7. #10609404C2semidirect
8. #10609367C2semidirect
9. #10609360C2semidirect
10. #10609166C2semidirect
11. #10609150C2semidirect
12. #10608856C2semidirect
13. #10608759C2semidirect
14. #10608160C2semidirect
15. #10608123C2semidirect
16. #10607601C2semidirect
17. #10607557C2semidirect
18. #10607485C2semidirect
19. #10607400C2semidirect
20. #10607158C2semidirect
21. #10607150C2semidirect
22. #10607072C2semidirect
23. #10606880C2semidirect
24. #10606751C2semidirect
25. #10606739C2semidirect
27. #10606558C2semidirect
28. D5×#385C2semidirect
29. #10606268C2semidirect
30. #10605780C2semidirect
31. #10605775C2semidirect
36. C2×#4044C22semidirect
42. C2×#4032C22semidirect
49. C2×#4024C22semidirect
50. C2×#4016C22semidirect
51. C5×#398C22semidirect
53. C5×#397C22semidirect
54. C5×#397C22semidirect
55. C5×#396C22semidirect
59. C5×#388C22semidirect
60. C5×#387C22semidirect
61. C5×#387C22semidirect
62. C5×#387C22semidirect
70. #65283C22semidirect
71. #65283C22semidirect
73. #65281C22semidirect
82. #65278C22semidirect
85. #65276C22semidirect
86. #65275C22semidirect
87. #65275C22semidirect
88. #65274C22semidirect
89. #65273C22semidirect
90. #65271C22semidirect
91. #65269C22semidirect
92. #65268C22semidirect
93. #65267C22semidirect
94. #65267C22semidirect
95. #65261C22semidirect
98. #65250C22semidirect
101. #65248C22semidirect
111. #65245C22semidirect
115. #65242C22semidirect
118. #65241C22semidirect
120. #65240C22semidirect
124. #65239C22semidirect
125. #65238C22semidirect
127. #65235C22semidirect
130. #65233C22semidirect
133. #65229C22semidirect
137. #65226C22semidirect
138. #65217C22semidirect
141. #64964C22semidirect
143. #64963C22semidirect
144. #64962C22semidirect
147. #64958C22semidirect
165. #64953C22semidirect
168. C5⋊#401C22semidirect
169. #64950C22semidirect
170. #64949C22semidirect
171. #64949C22semidirect
172. #64949C22semidirect
173. #64948C22semidirect
174. #64948C22semidirect
175. #64947C22semidirect
176. #64946C22semidirect
177. #64946C22semidirect
178. #64946C22semidirect
179. #64944C22semidirect
180. #64943C22semidirect
181. #64943C22semidirect
182. #64942C22semidirect
183. #64942C22semidirect
184. #64941C22semidirect
185. #64939C22semidirect
186. #64935C22semidirect
368. #2786D5semidirect
617. #398C2×D5semidirect
630. #397C2×D5semidirect
631. #397C2×D5semidirect
634. #396C2×D5semidirect
667. #388C2×D5semidirect
676. #387C2×D5semidirect
677. #387C2×D5semidirect
678. #387C2×D5semidirect
1459. C5#36757semidirect

Maximal subgroups

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

subgroupindex
C5×#27862
#106096842
#106096042
#106094522
#106094162
#106094062
#106094042
#106093672
#106093602
#106091662
#106091502
#106088562
#106087592
#106081602
#106081232
#106076012
#106075572
#106074852
#106074002
#106071582
#106071502
#106070722
#106068802
#106067512
#106067392
#106066662
#106065582
D5×#3852
#106062682
#106057802
#106057752
#367575