Finite Group Databasebeta

← #12308236

Subgroups — #12308236

Order 1280.

1950 conjugacy classes of subgroups.

The subgroup lattice has 1590 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C5×#2617C211yesmaximal, characteristic, complemented
2#10614387C211yesmaximal, characteristic, complemented
3#10614382C211yesmaximal, characteristic, complemented
4#10614320C211yesmaximal, characteristic, complemented
5#10614318C211yesmaximal, characteristic, complemented
6#10614314C211yesmaximal, characteristic, complemented
7#10614312C211yesmaximal, characteristic, complemented
8#10613862C211yesmaximal, characteristic, complemented
9C2×#65234C211yesmaximal, characteristic, complemented
10#10609365C211yesmaximal, characteristic, complemented
11#10609358C211yesmaximal, characteristic, complemented
12#10609354C211yesmaximal, characteristic, complemented
13#10609343C211yesmaximal, characteristic, complemented
14#10608814C211yesmaximal, characteristic, complemented
15#10608813C211yesmaximal, characteristic, complemented
16#10608812C211yesmaximal, characteristic, complemented
17#10608799C211yesmaximal, characteristic, complemented
18#10608791C211yesmaximal, characteristic, complemented
19#10608786C211yesmaximal, characteristic, complemented
20#10608769C211yesmaximal, characteristic, complemented
21#10608740C211yesmaximal, characteristic, complemented
22#10608469C211yesmaximal, characteristic, complemented
23#10608467C211yesmaximal, characteristic, complemented
24#10608463C211yesmaximal, characteristic, complemented
25#10608460C211yesmaximal, characteristic, complemented
26#10606601C211yesmaximal, characteristic, complemented
27#10606600C211yesmaximal, characteristic, complemented
28#10606395C211yesmaximal, characteristic, complemented
29#10606393C211yesmaximal, characteristic, complemented
30#10605659C211yesmaximal, characteristic, complemented
31#10605628C211yesmaximal, characteristic, complemented
32C22×#711C2211yescharacteristic
33C2×C5×#121C2211yescharacteristic
34C2×C5×#120C2211yescharacteristic
35C2×C5×#120C2211yescharacteristic
36C22×C5×C22⋊C4C2211yescharacteristic
37C2×#4099C2211yescharacteristic
38C22×C22⋊Dic5C2211yescharacteristic
39C22×C22⋊Dic5C2211yescharacteristic
40C2×#4085C2211yescharacteristic
41C2×#4085C2211yescharacteristic
42C2×#4082C2211yescharacteristic
43C2×#4081C2211yescharacteristic
44C2×D4×Dic5C2211yescharacteristic
45C22×#683C2211yescharacteristic
46C22×C4×Dic5C2211yescharacteristic
47C2×#4031C2211yescharacteristic, complemented
48C2×#4025C2211yescharacteristic, complemented
49C2×#4024C2211yescharacteristic
50C2×#4023C2211yescharacteristic
51C5×#397C2211yescharacteristic
52C5×#397C2211yescharacteristic
53C5×#394C2211yescharacteristic
54C5×#394C2211yescharacteristic
55C5×#394C2211yescharacteristic
56C5×#394C2211yescharacteristic
57C5×#392C2211yescharacteristic
58C5×#392C2211yescharacteristic
59C5×#386C2211yescharacteristic
60C5×#386C2211yescharacteristic
61C5×#380C2211yescharacteristic
62#65536C2211yescharacteristic
63#65512C2211yescharacteristic
64#65512C2211yescharacteristic
65#65512C2211yescharacteristic
66#65512C2211yescharacteristic, complemented
67#65511C2211yescharacteristic
68#65511C2211yescharacteristic
69#65511C2211yescharacteristic
70#65511C2211yescharacteristic
71#65511C2211yescharacteristic
72#65511C2211yescharacteristic, complemented
73#65510C2211yescharacteristic
74#65510C2211yescharacteristic
75#65510C2211yescharacteristic
76#65509C2211yescharacteristic
77#65509C2211yescharacteristic
78#65509C2211yescharacteristic
79#65509C2211yescharacteristic
80#65509C2211yescharacteristic
81#65509C2211yescharacteristic
82#65509C2211yescharacteristic
83#65509C2211yescharacteristic, complemented
84#65509C2211yescharacteristic, complemented
85#65502C2211yescharacteristic
86#65502C2211yescharacteristic
87#65499C2211yescharacteristic
88#65499C2211yescharacteristic
89C2×#3963C2211yescharacteristic
90C2×#3963C2211yescharacteristic
91#65282C2211yescharacteristic, complemented
92#65279C2211yescharacteristic, complemented
93#65278C2211yescharacteristic, complemented
94#65275C2211yescharacteristic, complemented
95#65275C2211yescharacteristic, complemented
96#65270C2211yescharacteristic, complemented
97#65270C2211yescharacteristic, complemented
98#65269C2211yescharacteristic, complemented
99#65268C2211yescharacteristic, complemented
100#65268C2211yescharacteristic, complemented
101#65267C2211yescharacteristic, complemented
102#65261C2211yescharacteristic, complemented
103#65250C2211yescharacteristic
104#65248C2211yescharacteristic
105#65248C2211yescharacteristic
106#65248C2211yescharacteristic
107#65248C2211yescharacteristic
108#65248C2211yescharacteristic, complemented
109#65247C2211yescharacteristic
110#65247C2211yescharacteristic
111#65246C2211yescharacteristic
112#65246C2211yescharacteristic, complemented
113#65246C2211yescharacteristic, complemented
114#65246C2211yescharacteristic, complemented
115#65245C2211yescharacteristic
116#65245C2211yescharacteristic
117#65245C2211yescharacteristic, complemented
118#65242C2211yescharacteristic
119#65242C2211yescharacteristic, complemented
120#65241C2211yescharacteristic
121#65241C2211yescharacteristic
122#65241C2211yescharacteristic
123#65241C2211yescharacteristic
124#65241C2211yescharacteristic, complemented
125#65240C2211yescharacteristic, complemented
126#65240C2211yescharacteristic, complemented
127#65239C2211yescharacteristic
128#65237C2211yescharacteristic
129#65237C2211yescharacteristic
130#65237C2211yescharacteristic
131#65236C2211yescharacteristic
132#65236C2211yescharacteristic
133#65236C2211yescharacteristic
134#65236C2211yescharacteristic, complemented
135#65235C2211yescharacteristic
136#65235C2211yescharacteristic, complemented
137#65235C2211yescharacteristic, complemented
138#65235C2211yescharacteristic, complemented
139#65234C2211yescharacteristic
140#65234C2211yescharacteristic
141#65234C2211yescharacteristic
142#65234C2211yescharacteristic
143#65234C2211yescharacteristic
144#65234C2211yescharacteristic
145#65234C2211yescharacteristic
146#65234C2211yescharacteristic
147#65234C2211yescharacteristic
148#65234C2211yescharacteristic
149#65234C2211yescharacteristic
150#65234C2211yescharacteristic, complemented
151#65233C2211yescharacteristic
152#65233C2211yescharacteristic
153#65233C2211yescharacteristic, complemented
154#65233C2211yescharacteristic, complemented
155#65233C2211yescharacteristic, complemented
156#65233C2211yescharacteristic, complemented
157#65233C2211yescharacteristic, complemented
158#65232C2211yescharacteristic
159#65232C2211yescharacteristic, complemented
160#65231C2211yescharacteristic, complemented
161#65231C2211yescharacteristic, complemented
162C22⋊C4×Dic5C2211yescharacteristic
163#64963C2211yescharacteristic, complemented
164#64959C2211yescharacteristic, complemented
165#64959C2211yescharacteristic, complemented
166#64958C2211yescharacteristic, complemented
167#64956C2211yescharacteristic, complemented
168#64956C2211yescharacteristic, complemented
169C5⋊#401C2211yescharacteristic, complemented
170#64947C2211yescharacteristic, complemented
171#64946C2211yescharacteristic, complemented
172#64944C2211yescharacteristic, complemented
173#64942C2211yescharacteristic, complemented
174#64941C2211yescharacteristic, complemented
175#64941C2211yescharacteristic, complemented
176#64941C2211yescharacteristic, complemented
177#64941C2211yescharacteristic, complemented
178#64940C2211yescharacteristic, complemented
179#64940C2211yescharacteristic, complemented
180#64939C2211yescharacteristic, complemented
181#64936C2211yescharacteristic, complemented
182#64936C2211yescharacteristic, complemented
183#64935C2211yescharacteristic, complemented
184#64935C2211yescharacteristic, complemented
185#64935C2211yescharacteristic, complemented
186#64935C2211yescharacteristic, complemented
187#36795—51nomaximal, Sylow
188C25×C5C2311yescharacteristic
189C22×C5×D4C2311yescharacteristic
190C22×C5×D4C2311yescharacteristic
191C22×C5×D4C2311yescharacteristic
192C22×C5×D4C2311yescharacteristic
193C22×C5×D4C2311yescharacteristic
194C22×C5×D4C2311yescharacteristic
195C22×C5×D4C2311yescharacteristic
196C23×C4×C5C2311yescharacteristic
197C23×C4×C5C2311yescharacteristic
198C22×C22⋊D5C2311yescharacteristic
199C22×C22⋊D5C2311yescharacteristic
200C22×C22⋊D5C2311yescharacteristic
201C22×C22⋊D5C2311yescharacteristic
202C22×C22⋊D5C2311yescharacteristic
203C23×Dic5C2311yescharacteristic
204C23×Dic5C2311yescharacteristic
205C23×Dic5C2311yescharacteristic
206C23×Dic5C2311yescharacteristic
207C23×Dic5C2311yescharacteristic
208C23×Dic5C2311yescharacteristic
209C2×#711—24no—
210C2×#711—42no—
211C2×#711—42no—
212C22×C4×D5C2311yescharacteristic
213C22×Dic10C2311yescharacteristic
214C22×Dic10C2311yescharacteristic
215C5×#121—42no—
216C5×#120—42no—
217C5×#120—42no—
218C2×C5×C4⋊C4C2311yescharacteristic
219C2×C5×C4⋊C4C2311yescharacteristic
220C2×C5×C4⋊C4C2311yescharacteristic
221C2×C5×C22⋊C4—42no—
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×C5×C22⋊C4C2311yescharacteristic
232C2×C5×C22⋊C4C2311yescharacteristic
233C2×C5×C22⋊C4C2311yescharacteristic
234C2×C5×C22⋊C4C2311yescharacteristic
235C2×C5×C22⋊C4C2311yescharacteristic
236C2×C5×C22⋊C4C2311yescharacteristic
237C2×C5×C22⋊C4C2311yescharacteristic
238#4099—42no—
239C2×C22⋊Dic5—24no—
240C2×C22⋊Dic5—42no—
241C2×C22⋊Dic5C2311yescharacteristic
242C2×C22⋊Dic5C2311yescharacteristic
243C2×C22⋊Dic5C2311yescharacteristic
244C2×C22⋊Dic5C2311yescharacteristic
245C2×C22⋊Dic5C2311yescharacteristic
246C2×C22⋊Dic5C2311yescharacteristic
247C2×C22⋊Dic5C2311yescharacteristic
248C2×C22⋊Dic5C2311yescharacteristic
249C2×C22⋊Dic5C2311yescharacteristic
250C2×C22⋊Dic5C2311yescharacteristic
251C2×C22⋊Dic5C2311yescharacteristic
252C2×C22⋊Dic5C2311yescharacteristic
253C2×C22⋊Dic5C2311yescharacteristic
254C2×C22⋊Dic5C2311yescharacteristic
255C2×C22⋊Dic5C2311yescharacteristic
256C2×C22⋊Dic5C2311yescharacteristic
257C2×C22⋊Dic5C2311yescharacteristic
258C2×C22⋊Dic5C2311yescharacteristic
259C2×C22⋊Dic5C2311yescharacteristic
260C2×C22⋊Dic5C2311yescharacteristic
261C2×C22⋊Dic5C2311yescharacteristic
262C2×C22⋊Dic5C2311yescharacteristic
263C2×C22⋊Dic5C2311yescharacteristic
264C2×C22⋊Dic5C2311yescharacteristic
265C2×C22⋊Dic5C2311yescharacteristic
266C2×C22⋊Dic5C2311yescharacteristic
267C2×C22⋊Dic5C2311yescharacteristic
268C2×C22⋊Dic5C2311yescharacteristic
269C2×C22⋊Dic5C2311yescharacteristic
270#4085—42no—
271#4085—42no—
272#4082—42no—
273#4081—24no—
274D4×Dic5—42no—
275C2×#685C2311yescharacteristic
276C2×#685C2311yescharacteristic
277C2×#685C2311yescharacteristic
278C2×#685C2311yescharacteristic
279C2×#685C2311yescharacteristic
280C2×#685C2311yescharacteristic
281C2×#685C2311yescharacteristic
282C2×#685C2311yescharacteristic
283C2×#685C2311yescharacteristic
284C2×C4⋊Dic5C2311yescharacteristic
285C2×C4⋊Dic5C2311yescharacteristic
286C2×C4⋊Dic5C2311yescharacteristic
287C2×C4⋊Dic5C2311yescharacteristic
288C2×#683—42no—
289C2×#683C2311yescharacteristic
290C2×#683C2311yescharacteristic
291C2×#683C2311yescharacteristic
292C2×#683C2311yescharacteristic
293C2×#683C2311yescharacteristic
294C2×#683C2311yescharacteristic
295C2×#683C2311yescharacteristic
296C2×#683C2311yescharacteristic
297C2×#683C2311yescharacteristic
298C2×#683C2311yescharacteristic
299C2×#683C2311yescharacteristic
300C2×#683C2311yescharacteristic
301C2×#683C2311yescharacteristic
302C2×#683C2311yescharacteristic
303C2×#683C2311yescharacteristic
304C2×#683C2311yescharacteristic
305C2×#683C2311yescharacteristic
306C2×C4×Dic5—42no—
307C2×C4×Dic5C2311yescharacteristic
308C2×C4×Dic5C2311yescharacteristic
309C2×C4×Dic5C2311yescharacteristic
310C2×C4×Dic5C2311yescharacteristic
311C2×C4×Dic5C2311yescharacteristic
312C2×C4×Dic5C2311yescharacteristic
313C2×C4×Dic5C2311yescharacteristic
314C2×C4×Dic5C2311yescharacteristic
315C2×C4×Dic5C2311yescharacteristic
316#4031—42no—
317#4025—42no—
318#4024—42no—
319#4023—42no—
320C5×#95C2311yescharacteristic
321C5×#95C2311yescharacteristic
322C5×#95C2311yescharacteristic
323C5×#95C2311yescharacteristic
324C5×#95C2311yescharacteristic
325C5×#95C2311yescharacteristic
326#3963C2311yescharacteristic
327#3963C2311yescharacteristic
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#2852—51no—
365#2850—51no—
366#2808—51no—
367#2803—51no—
368#2803—51no—
369#2786—51no—
370#2781—51no—
371#2779—51no—
372#2778—51no—
373#2775—51no—
374#2759—51no—
375#2756—51no—
376#2756—51no—
377#2751—51no—
378#2733—51no—
379#2715—51no—
380#2714—51no—
381#2686—51no—
382#2622—51no—
383#2617D511yescharacteristic, complemented
384#2510—51no—
385#2472—51no—
386#2444—51no—
387#2438—51no—
388#2430—51no—
389#2424—51no—
390#2411—51no—
391#2404—51no—
392#2322—51no—
393#2311—51no—
394C2×#388—51no—
395C24×C5—22no—
396C24×C5—22no—
397C24×C5—22no—
398C24×C5—41no—
399C24×C5—41no—
400C24×C5—41no—
401C24×C5—41no—
402C24×C5C2411yescharacteristic
403C24×C5C2411yescharacteristic
404C24×C5C2411yescharacteristic
405C24×C5C2411yescharacteristic
406C24×C5C2411yescharacteristic
407C23×D5C2411yescharacteristic
408C2×C5×D4—22no—
409C2×C5×D4—22no—
410C2×C5×D4—22no—
411C2×C5×D4—22no—
412C2×C5×D4—22no—
413C2×C5×D4—22no—
414C2×C5×D4—41no—
415C2×C5×D4—41no—
416C2×C5×D4—41no—
417C2×C5×D4—41no—
418C2×C5×D4—41no—
419C2×C5×D4—41no—
420C2×C5×D4—41no—
421C2×C5×D4—41no—
422C2×C5×D4—41no—
423C2×C5×D4—41no—
424C2×C5×D4—41no—
425C2×C5×D4—41no—
426C2×C5×D4—41no—
427C2×C5×D4—41no—
428C2×C5×D4—41no—
429C22×C4×C5—22no—
430C22×C4×C5—22no—
431C22×C4×C5—41no—
432C22×C4×C5—41no—
433C22×C4×C5—41no—
434C22×C4×C5—41no—
435C22×C4×C5C2411yescharacteristic
436C22×C4×C5C2411yescharacteristic
437C22×C4×C5C2411yescharacteristic
438C22×C4×C5C2411yescharacteristic
439C22×C4×C5C2411yescharacteristic
440C22×C4×C5C2411yescharacteristic
441C22×C4×C5C2411yescharacteristic
442C22×C4×C5C2411yescharacteristic
443C22×C4×C5C2411yescharacteristic
444C22×C4×C5C2411yescharacteristic
445C2×C22⋊D5—22no—
446C2×C22⋊D5—22no—
447C2×C22⋊D5—22no—
448C2×C22⋊D5—22no—
449C2×C22⋊D5—22no—
450C2×C22⋊D5—41no—
451C2×C22⋊D5—41no—
452C2×C22⋊D5—41no—
453C2×C22⋊D5—41no—
454C2×C22⋊D5—41no—
455C2×C22⋊D5—41no—
456C2×C22⋊D5—41no—
457C2×C22⋊D5—41no—
458C2×C22⋊D5—41no—
459C2×C22⋊D5—41no—
460C22×Dic5—22no—
461C22×Dic5—22no—
462C22×Dic5—22no—
463C22×Dic5—22no—
464C22×Dic5—22no—
465C22×Dic5—22no—
466C22×Dic5—22no—
467C22×Dic5—41no—
468C22×Dic5—41no—
469C22×Dic5—41no—
470C22×Dic5—41no—
471C22×Dic5—41no—
472C22×Dic5—41no—
473C22×Dic5—41no—
474C22×Dic5—41no—
475C22×Dic5—41no—
476C22×Dic5—41no—
477C22×Dic5#4114yes—
478C22×Dic5C2411yescharacteristic
479C22×Dic5C2411yescharacteristic
480C22×Dic5C2411yescharacteristic
481C22×Dic5C2411yescharacteristic
482C22×Dic5C2411yescharacteristic
483C22×Dic5C2411yescharacteristic
484C22×Dic5C2411yescharacteristic
485C22×Dic5C2411yescharacteristic
486C22×Dic5C2411yescharacteristic
487C22×Dic5C2411yescharacteristic
488C22×Dic5C2411yescharacteristic
489C22×Dic5C2411yescharacteristic
490C22×Dic5C2411yescharacteristic
491C22×Dic5C2411yescharacteristic
492C22×Dic5C2411yescharacteristic
493#711—416no—
494C2×C4×D5—22no—
495C2×C4×D5—41no—
496C2×C4×D5—41no—
497C2×Dic10—22no—
498C2×Dic10—22no—
499C2×Dic10—41no—
500C2×Dic10—41no—
501C2×Dic10—41no—
502C2×Dic10—41no—
503C5×C4⋊C4—41no—
504C5×C4⋊C4—41no—
505C5×C4⋊C4—41no—
506C5×C22⋊C4—22no—
507C5×C22⋊C4—22no—
508C5×C22⋊C4—41no—
509C5×C22⋊C4—41no—
510C5×C22⋊C4—41no—
511C5×C22⋊C4—41no—
512C5×C22⋊C4—41no—
513C5×C22⋊C4—41no—
514C5×C22⋊C4—41no—
515C5×C22⋊C4—41no—
516C5×C22⋊C4—41no—
517C5×C22⋊C4—41no—
518C5×C22⋊C4—41no—
519C5×C22⋊C4—41no—
520C5×C22⋊C4—41no—
521C5×C22⋊C4—41no—
522C22⋊Dic5—22no—
523C22⋊Dic5—22no—
524C22⋊Dic5—22no—
525C22⋊Dic5—22no—
526C22⋊Dic5—22no—
527C22⋊Dic5—22no—
528C22⋊Dic5—22no—
529C22⋊Dic5—22no—
530C22⋊Dic5—22no—
531C22⋊Dic5—22no—
532C22⋊Dic5—22no—
533C22⋊Dic5—22no—
534C22⋊Dic5—41no—
535C22⋊Dic5—41no—
536C22⋊Dic5—41no—
537C22⋊Dic5—41no—
538C22⋊Dic5—41no—
539C22⋊Dic5—41no—
540C22⋊Dic5—41no—
541C22⋊Dic5—41no—
542C22⋊Dic5—41no—
543C22⋊Dic5—41no—
544C22⋊Dic5—41no—
545C22⋊Dic5—41no—
546C22⋊Dic5—41no—
547C22⋊Dic5—41no—
548C22⋊Dic5—41no—
549C22⋊Dic5—41no—
550C22⋊Dic5—41no—
551#685—41no—
552#685—41no—
553#685—41no—
554#685—41no—
555#685—41no—
556#685—41no—
557#685—41no—
558#685—41no—
559#685—41no—
560C4⋊Dic5—41no—
561C4⋊Dic5—41no—
562C4⋊Dic5—41no—
563C4⋊Dic5—41no—
564#683—22no—
565#683—22no—
566#683—22no—
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—
576#683—41no—
577#683—41no—
578#683—41no—
579#683—41no—
580#683—41no—
581C4×Dic5—22no—
582C4×Dic5—22no—
583C4×Dic5—41no—
584C4×Dic5—41no—
585C4×Dic5—41no—
586C4×Dic5—41no—
587C4×Dic5—41no—
588C4×Dic5—41no—
589C4×Dic5—41no—
590C22×#41—51no—
591C2×#126—51no—
592C2×#124—51no—
593C2×#124—51no—
594C2×#123—51no—
595C2×C22⋊Q8—51no—
596C2×#121—51no—
597C2×#121—51no—
598C2×#121C2×D511yescharacteristic
599C2×#120—51no—
600C2×#120C2×D511yescharacteristic
601C2×#120C2×D511yescharacteristic
602C2×C4×D4—51no—
603C2×#117—51no—
604C22×C4⋊C4—51no—
605C22×C22⋊C4—51no—
606C22×C22⋊C4—51no—
607C22×C22⋊C4C2×D511yescharacteristic
608C22×C42—51no—
609#401—51no—
610#400—51no—
611#400—51no—
612#400—51no—
613#398—51no—
614#398—51no—
615#397—51no—
616#397—51no—
617#397—51no—
618#397—51no—
619#397—51no—
620#397—51no—
621#397—51no—
622#397—51no—
623#397—51no—
624#397C2×D511yescharacteristic
625#397C2×D511yescharacteristic
626#396—51no—
627#396—51no—
628#396—51no—
629#395—51no—
630#395—51no—
631#394—51no—
632#394—51no—
633#394—51no—
634#394—51no—
635#394—51no—
636#394—51no—
637#394—51no—
638#394—51no—
639#394—51no—
640#394—51no—
641#394—51no—
642#394—51no—
643#394C2×D511yescharacteristic
644#394C2×D511yescharacteristic
645#394C2×D511yescharacteristic
646#394C2×D511yescharacteristic
647#393—51no—
648#393—51no—
649#393—51no—
650#393—51no—
651#392—51no—
652#392—51no—
653#392—51no—
654#392—51no—
655#392C2×D511yescharacteristic
656#392C2×D511yescharacteristic
657#391—51no—
658#391—51no—
659#391—51no—
660#391—51no—
661#390—51no—
662#390—51no—
663#390—51no—
664#390—51no—
665#390—51no—
666#390—51no—
667#390—51no—
668#389—51no—
669#389—51no—
670#389—51no—
671#388—51no—
672#388—51no—
673#388—51no—
674#388—51no—
675#388—51no—
676#388—51no—
677#388—51no—
678#388—51no—
679#388—51no—
680#388—51no—
681#388—51no—
682#388—51no—
683#388—51no—
684#388—51no—
685#388—51no—
686#388—51no—
687#388—51no—
688#388—51no—
689#388—51no—
690#388—51no—
691#388—51no—
692#388—51no—
693#388—51no—
694#388—51no—
695#388—51no—
696#387—51no—
697#387—51no—
698#387—51no—
699#387—51no—
700#387—51no—
701#387—51no—
702#387—51no—
703#387—51no—
704#387—51no—
705#386—51no—
706#386—51no—
707#386—51no—
708#386—51no—
709#386—51no—
710#386—51no—
711#386—51no—
712#386—51no—
713#386—51no—
714#386—51no—
715#386—51no—
716#386—51no—
717#386—51no—
718#386—51no—
719#386—51no—
720#386—51no—
721#386C2×D511yescharacteristic
722#386C2×D511yescharacteristic
723#385—51no—
724#385—51no—
725#385—51no—
726#385—51no—
727#385—51no—
728#385—51no—
729#385—51no—
730#385—51no—
731#383—51no—
732#383—51no—
733#382—51no—
734#381—51no—
735#381—51no—
736#380—51no—
737#380—51no—
738#380—51no—
739#380—51no—
740#380C2×D511yescharacteristic
741#379—51no—
742C4×C22⋊C4—51no—
743C2×#95—51no—
744C2×#95—51no—
745C23×C5—21no—
746C23×C5—21no—
747C23×C5—21no—
748C23×C5—21no—
749C23×C5—21no—
750C23×C5—21no—
751C23×C5—21no—
752C23×C5—21no—
753C23×C5—21no—
754C23×C5—21no—
755C23×C5—21no—
756C23×C5—21no—
757C23×C5—21no—
758C23×C5—21no—
759C23×C5—21no—
760C23×C5—21no—
761C23×C5—21no—
762C23×C5—21no—
763C23×C5—21no—
764C23×C5—21no—
765C23×C5—21no—
766C23×C5—21no—
767C23×C5—21no—
768C23×C5—21no—
769C23×C5—21no—
770C23×C5—21no—
771C23×C5—21no—
772C23×C5—21no—
773C23×C5—21no—
774C23×C5—21no—
775C23×C5—21no—
776C23×C5—21no—
777C23×C5—44no—
778C23×C5—44no—
779C23×C5—44no—
780C23×C5—82no—
781C23×C5—82no—
782C23×C5—82no—
783C23×C5—82no—
784C23×C5C2×#4112yes—
785C23×C5H(5,𝔽2)12yes—
786C23×C5H(5,𝔽2)12yes—
787C23×C5C2511yescharacteristic
788C22×D5—21no—
789C22×D5—21no—
790C22×D5—21no—
791C22×D5—21no—
792C22×D5—21no—
793C22×D5—21no—
794C22×D5—21no—
795C5×D4—44no—
796C5×D4—44no—
797C5×D4—82no—
798C5×D4—82no—
799C5×D4—82no—
800C5×D4—82no—
801C5×D4—82no—
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—21no—
818C2×C4×C5—21no—
819C2×C4×C5—21no—
820C2×C4×C5—21no—
821C2×C4×C5—21no—
822C2×C4×C5—21no—
823C2×C4×C5—21no—
824C2×C4×C5—21no—
825C2×C4×C5—21no—
826C2×C4×C5—21no—
827C2×C4×C5—21no—
828C2×C4×C5—21no—
829C2×C4×C5—21no—
830C2×C4×C5—21no—
831C2×C4×C5—21no—
832C2×C4×C5—44no—
833C2×C4×C5—82no—
834C22⋊D5—44no—
835C22⋊D5—44no—
836C22⋊D5—82no—
837C22⋊D5—82no—
838C22⋊D5—82no—
839C2×Dic5—28no—
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—21no—
862C2×Dic5—21no—
863C2×Dic5—21no—
864C2×Dic5—21no—
865C2×Dic5—21no—
866C2×Dic5—21no—
867C2×Dic5—21no—
868C2×Dic5—21no—
869C2×Dic5—21no—
870C2×Dic5—21no—
871C2×Dic5—21no—
872C2×Dic5—21no—
873C2×Dic5—21no—
874C2×Dic5—21no—
875C2×Dic5—21no—
876C2×Dic5—21no—
877C2×Dic5—21no—
878C2×Dic5—21no—
879C2×Dic5—21no—
880C2×Dic5—21no—
881C2×Dic5—21no—
882C2×Dic5—44no—
883C2×Dic5—44no—
884C2×Dic5—44no—
885C2×Dic5—82no—
886C2×Dic5—82no—
887C2×Dic5C2×#4112yes—
888C2×Dic5C2×#4112yes—
889C2×Dic5H(5,𝔽2)12yes—
890C4×D5—44no—
891Dic10—44no—
892Dic10—82no—
893C25C22×D511yescharacteristic
894C2×#41—104no—
895C2×#41—202no—
896C2×#41—202no—
897C22×Q8—51no—
898C22×Q8—51no—
899C22×D4—51no—
900C22×D4—51no—
901C22×D4—51no—
902C22×D4—51no—
903C22×D4—51no—
904C22×D4C22×D511yescharacteristic
905C22×D4C22×D511yescharacteristic
906C22×D4C22×D511yescharacteristic
907C22×D4C22×D511yescharacteristic
908C22×D4C22×D511yescharacteristic
909C22×D4C22×D511yescharacteristic
910C22×D4C22×D511yescharacteristic
911C23×C4—51no—
912C23×C4—51no—
913C23×C4—51no—
914C23×C4—51no—
915C23×C4—51no—
916C23×C4—51no—
917C23×C4—51no—
918C23×C4C22×D511yescharacteristic
919C23×C4C22×D511yescharacteristic
920#126—202no—
921#124—202no—
922#124—202no—
923#123—104no—
924C22⋊Q8—202no—
925#121—42no—
926#121—202no—
927#121—202no—
928#120—42no—
929#120—42no—
930#120—202no—
931C4×D4—202no—
932#117—202no—
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—51no—
941C2×C4⋊C4—51no—
942C2×C4⋊C4—51no—
943C2×C4⋊C4—51no—
944C2×C4⋊C4—51no—
945C2×C4⋊C4—51no—
946C2×C4⋊C4—51no—
947C2×C4⋊C4—51no—
948C2×C4⋊C4—51no—
949C2×C4⋊C4—51no—
950C2×C4⋊C4—51no—
951C2×C4⋊C4—51no—
952C2×C4⋊C4—51no—
953C2×C4⋊C4—51no—
954C2×C4⋊C4—202no—
955C2×C4⋊C4C22×D511yescharacteristic
956C2×C4⋊C4C22×D511yescharacteristic
957C2×C4⋊C4C22×D511yescharacteristic
958C2×C22⋊C4—42no—
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—51no—
986C2×C22⋊C4—51no—
987C2×C22⋊C4—51no—
988C2×C22⋊C4—51no—
989C2×C22⋊C4—51no—
990C2×C22⋊C4—51no—
991C2×C22⋊C4—51no—
992C2×C22⋊C4—51no—
993C2×C22⋊C4—51no—
994C2×C22⋊C4—51no—
995C2×C22⋊C4—51no—
996C2×C22⋊C4—51no—
997C2×C22⋊C4—104no—
998C2×C22⋊C4—202no—
999C2×C22⋊C4C22×D511yescharacteristic
1000C2×C22⋊C4C22×D511yescharacteristic
1001C2×C22⋊C4C22×D511yescharacteristic
1002C2×C22⋊C4C22×D511yescharacteristic
1003C2×C22⋊C4C22×D511yescharacteristic
1004C2×C22⋊C4C22×D511yescharacteristic
1005C2×C22⋊C4C22×D511yescharacteristic
1006C2×C22⋊C4C22×D511yescharacteristic
1007C2×C22⋊C4C22×D511yescharacteristic
1008C2×C22⋊C4C22×D511yescharacteristic
1009C2×C22⋊C4C22×D511yescharacteristic
1010C2×C22⋊C4C22×D511yescharacteristic
1011C2×C22⋊C4C22×D511yescharacteristic
1012C2×C22⋊C4C22×D511yescharacteristic
1013C2×C22⋊C4C22×D511yescharacteristic
1014C2×C22⋊C4C22×D511yescharacteristic
1015C2×C42—51no—
1016C2×C42—51no—
1017C2×C42—51no—
1018C2×C42—51no—
1019C2×C42—51no—
1020C2×C42—51no—
1021C2×C42—51no—
1022C2×C42—51no—
1023C2×C42—51no—
1024C2×C42—202no—
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#95—51no—
1041#95—51no—
1042#95—51no—
1043#95—51no—
1044#95—51no—
1045#95—51no—
1046#95—51no—
1047#95—51no—
1048#95—51no—
1049#95—51no—
1050#95—51no—
1051#95—51no—
1052#95—51no—
1053#95—51no—
1054#95—51no—
1055#95—51no—
1056#95—51no—
1057#95—51no—
1058#95—51no—
1059#95—51no—
1060#95—51no—
1061#95—51no—
1062#95—51no—
1063#95C22×D511yescharacteristic
1064#95C22×D511yescharacteristic
1065#95C22×D511yescharacteristic
1066#95C22×D511yescharacteristic
1067#95C22×D511yescharacteristic
1068#95C22×D511yescharacteristic
1069C22×C5—22no—
1070C22×C5—22no—
1071C22×C5—22no—
1072C22×C5—22no—
1073C22×C5—22no—
1074C22×C5—22no—
1075C22×C5—41no—
1076C22×C5—41no—
1077C22×C5—41no—
1078C22×C5—41no—
1079C22×C5—41no—
1080C22×C5—41no—
1081C22×C5—41no—
1082C22×C5—41no—
1083C22×C5—41no—
1084C22×C5—41no—
1085C22×C5—41no—
1086C22×C5—41no—
1087C22×C5—41no—
1088C22×C5—41no—
1089C22×C5—41no—
1090C22×C5—41no—
1091C22×C5—41no—
1092C22×C5—41no—
1093C22×C5—41no—
1094C22×C5—41no—
1095C22×C5—41no—
1096C22×C5—41no—
1097C22×C5—41no—
1098C22×C5—41no—
1099C22×C5—41no—
1100C22×C5—41no—
1101C22×C5—41no—
1102C22×C5—41no—
1103C22×C5—88no—
1104C22×C5#53814yes—
1105C22×C5C22×#4111yescharacteristic
1106C22×C5C2×H(5,𝔽2)11yescharacteristic
1107C22×C5C2×H(5,𝔽2)11yescharacteristic
1108C22×C5C2×H(5,𝔽2)11yescharacteristic
1109C22×C5#58511yescharacteristic
1110C22×C5#58511yescharacteristic
1111C22×C5#58511yescharacteristic
1112C2×D5—41no—
1113C2×D5—41no—
1114C2×D5—41no—
1115C2×D5—41no—
1116C2×D5—41no—
1117C2×D5—41no—
1118C2×D5—41no—
1119C4×C5—41no—
1120C4×C5—41no—
1121C4×C5—41no—
1122C4×C5—41no—
1123C4×C5—41no—
1124C4×C5—41no—
1125C4×C5—41no—
1126C4×C5—41no—
1127C4×C5—41no—
1128C4×C5—41no—
1129Dic5—22no—
1130Dic5—22no—
1131Dic5—22no—
1132Dic5—41no—
1133Dic5—41no—
1134Dic5—41no—
1135Dic5—41no—
1136Dic5—41no—
1137Dic5—41no—
1138Dic5—41no—
1139Dic5—41no—
1140Dic5—41no—
1141Dic5—41no—
1142Dic5—41no—
1143Dic5—41no—
1144C24—22no—
1145C24—22no—
1146C24—22no—
1147C24—41no—
1148C24—41no—
1149C24—41no—
1150C24—41no—
1151C24—51no—
1152C24C23×D511yescharacteristic
1153C24C23×D511yescharacteristic
1154C24C23×D511yescharacteristic
1155C24C23×D511yescharacteristic
1156C24C23×D511yescharacteristic
1157#41—2016no—
1158C2×Q8—102no—
1159C2×Q8—102no—
1160C2×Q8—201no—
1161C2×Q8—201no—
1162C2×Q8—201no—
1163C2×Q8—201no—
1164C2×D4—22no—
1165C2×D4—22no—
1166C2×D4—22no—
1167C2×D4—22no—
1168C2×D4—22no—
1169C2×D4—22no—
1170C2×D4—41no—
1171C2×D4—41no—
1172C2×D4—41no—
1173C2×D4—41no—
1174C2×D4—41no—
1175C2×D4—41no—
1176C2×D4—41no—
1177C2×D4—41no—
1178C2×D4—41no—
1179C2×D4—41no—
1180C2×D4—41no—
1181C2×D4—41no—
1182C2×D4—41no—
1183C2×D4—41no—
1184C2×D4—41no—
1185C2×D4—102no—
1186C2×D4—102no—
1187C2×D4—102no—
1188C2×D4—102no—
1189C2×D4—102no—
1190C2×D4—201no—
1191C2×D4—201no—
1192C2×D4—201no—
1193C2×D4—201no—
1194C2×D4—201no—
1195C2×D4—201no—
1196C2×D4—201no—
1197C2×D4—201no—
1198C2×D4—201no—
1199C2×D4—201no—
1200C22×C4—22no—
1201C22×C4—22no—
1202C22×C4—41no—
1203C22×C4—41no—
1204C22×C4—41no—
1205C22×C4—41no—
1206C22×C4—54no—
1207C22×C4—51no—
1208C22×C4—51no—
1209C22×C4—51no—
1210C22×C4—51no—
1211C22×C4—51no—
1212C22×C4—51no—
1213C22×C4—51no—
1214C22×C4—51no—
1215C22×C4—51no—
1216C22×C4—51no—
1217C22×C4—51no—
1218C22×C4—51no—
1219C22×C4—51no—
1220C22×C4—51no—
1221C22×C4—51no—
1222C22×C4—102no—
1223C22×C4—102no—
1224C22×C4—102no—
1225C22×C4—102no—
1226C22×C4—102no—
1227C22×C4—102no—
1228C22×C4—102no—
1229C22×C4—102no—
1230C22×C4—201no—
1231C22×C4—201no—
1232C22×C4—201no—
1233C22×C4—201no—
1234C22×C4—201no—
1235C22×C4—201no—
1236C22×C4—201no—
1237C22×C4—201no—
1238C22×C4—201no—
1239C22×C4—201no—
1240C22×C4—201no—
1241C22×C4—201no—
1242C22×C4C23×D511yescharacteristic
1243C22×C4C23×D511yescharacteristic
1244C22×C4C23×D511yescharacteristic
1245C22×C4C23×D511yescharacteristic
1246C22×C4C23×D511yescharacteristic
1247C22×C4C23×D511yescharacteristic
1248C22×C4C23×D511yescharacteristic
1249C22×C4C23×D511yescharacteristic
1250C22×C4C23×D511yescharacteristic
1251C22×C4C23×D511yescharacteristic
1252C4⋊C4—41no—
1253C4⋊C4—41no—
1254C4⋊C4—41no—
1255C4⋊C4—102no—
1256C4⋊C4—102no—
1257C4⋊C4—102no—
1258C4⋊C4—201no—
1259C4⋊C4—201no—
1260C4⋊C4—201no—
1261C4⋊C4—201no—
1262C4⋊C4—201no—
1263C4⋊C4—201no—
1264C4⋊C4—201no—
1265C4⋊C4—201no—
1266C4⋊C4—201no—
1267C4⋊C4—201no—
1268C4⋊C4—201no—
1269C4⋊C4—201no—
1270C4⋊C4—201no—
1271C4⋊C4—201no—
1272C4⋊C4—201no—
1273C4⋊C4—201no—
1274C4⋊C4—201no—
1275C4⋊C4—201no—
1276C22⋊C4—22no—
1277C22⋊C4—22no—
1278C22⋊C4—41no—
1279C22⋊C4—41no—
1280C22⋊C4—41no—
1281C22⋊C4—41no—
1282C22⋊C4—41no—
1283C22⋊C4—41no—
1284C22⋊C4—41no—
1285C22⋊C4—41no—
1286C22⋊C4—41no—
1287C22⋊C4—41no—
1288C22⋊C4—41no—
1289C22⋊C4—41no—
1290C22⋊C4—41no—
1291C22⋊C4—41no—
1292C22⋊C4—102no—
1293C22⋊C4—102no—
1294C22⋊C4—102no—
1295C22⋊C4—102no—
1296C22⋊C4—102no—
1297C22⋊C4—102no—
1298C22⋊C4—102no—
1299C22⋊C4—102no—
1300C22⋊C4—102no—
1301C22⋊C4—102no—
1302C22⋊C4—102no—
1303C22⋊C4—102no—
1304C22⋊C4—201no—
1305C22⋊C4—201no—
1306C22⋊C4—201no—
1307C22⋊C4—201no—
1308C22⋊C4—201no—
1309C22⋊C4—201no—
1310C22⋊C4—201no—
1311C22⋊C4—201no—
1312C22⋊C4—201no—
1313C22⋊C4—201no—
1314C22⋊C4—201no—
1315C22⋊C4—201no—
1316C22⋊C4—201no—
1317C22⋊C4—201no—
1318C22⋊C4—201no—
1319C22⋊C4—201no—
1320C22⋊C4—201no—
1321C22⋊C4—201no—
1322C22⋊C4—201no—
1323C22⋊C4—201no—
1324C22⋊C4—201no—
1325C22⋊C4—201no—
1326C22⋊C4—201no—
1327C22⋊C4—201no—
1328C22⋊C4—201no—
1329C22⋊C4—201no—
1330C42—102no—
1331C42—102no—
1332C42—201no—
1333C42—201no—
1334C42—201no—
1335C42—201no—
1336C42—201no—
1337C42—201no—
1338C42—201no—
1339C2×C5—24no—
1340C2×C5—81no—
1341C2×C5—81no—
1342C2×C5—81no—
1343C2×C5—81no—
1344C2×C5C2×#53811yescharacteristic
1345C2×C5#349311yescharacteristic
1346C2×C5#350611yescharacteristic
1347C2×C5#353411yescharacteristic
1348C2×C5#354211yescharacteristic
1349C2×C5#354511yescharacteristic
1350C2×C5#356011yescharacteristic
1351D5—81no—
1352C23—21no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—44no—
1385C23—44no—
1386C23—44no—
1387C23—82no—
1388C23—82no—
1389C23—82no—
1390C23—82no—
1391C23—101no—
1392C23—101no—
1393C23—101no—
1394C23—101no—
1395C23—101no—
1396C23—101no—
1397C23—101no—
1398C23#414412yes—
1399C23#414412yes—
1400C23D5×#4112yes—
1401C23C24×D511yescharacteristic
1402Q8—204no—
1403Q8—402no—
1404D4—44no—
1405D4—44no—
1406D4—82no—
1407D4—82no—
1408D4—82no—
1409D4—82no—
1410D4—82no—
1411D4—204no—
1412D4—204no—
1413D4—402no—
1414D4—402no—
1415D4—402no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—44no—
1447C2×C4—52no—
1448C2×C4—52no—
1449C2×C4—52no—
1450C2×C4—82no—
1451C2×C4—108no—
1452C2×C4—101no—
1453C2×C4—101no—
1454C2×C4—101no—
1455C2×C4—101no—
1456C2×C4—101no—
1457C2×C4—101no—
1458C2×C4—101no—
1459C2×C4—101no—
1460C2×C4—101no—
1461C2×C4—101no—
1462C2×C4—101no—
1463C2×C4—101no—
1464C2×C4—101no—
1465C2×C4—101no—
1466C2×C4—101no—
1467C2×C4—101no—
1468C2×C4—101no—
1469C2×C4—101no—
1470C2×C4—101no—
1471C2×C4—101no—
1472C2×C4—101no—
1473C2×C4—101no—
1474C2×C4—101no—
1475C2×C4—101no—
1476C2×C4—101no—
1477C2×C4—101no—
1478C2×C4—101no—
1479C2×C4—101no—
1480C2×C4—101no—
1481C2×C4—101no—
1482C2×C4—101no—
1483C2×C4—101no—
1484C2×C4—101no—
1485C2×C4—101no—
1486C2×C4—101no—
1487C2×C4—101no—
1488C2×C4—101no—
1489C2×C4—101no—
1490C2×C4—101no—
1491C2×C4—101no—
1492C2×C4—101no—
1493C2×C4—101no—
1494C2×C4—204no—
1495C2×C4—204no—
1496C2×C4—204no—
1497C2×C4—204no—
1498C2×C4—402no—
1499C2×C4—402no—
1500C5#3679511yescharacteristic, complemented, Sylow
1501C22—22no—
1502C22—22no—
1503C22—22no—
1504C22—22no—
1505C22—22no—
1506C22—22no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—41no—
1522C22—41no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—41no—
1529C22—41no—
1530C22—41no—
1531C22—41no—
1532C22—41no—
1533C22—41no—
1534C22—41no—
1535C22—88no—
1536C22—201no—
1537C22—201no—
1538C22—201no—
1539C22—201no—
1540C22—201no—
1541C22—201no—
1542C22—201no—
1543C22#6594714yes—
1544C22C2×#414411yescharacteristic
1545C22C2×#414411yescharacteristic
1546C22C2×D5×#4111yescharacteristic
1547C22D5×H(5,𝔽2)11yescharacteristic
1548C22#6628511yescharacteristic
1549C22#6628511yescharacteristic
1550C22#6628511yescharacteristic
1551C4—41no—
1552C4—41no—
1553C4—41no—
1554C4—41no—
1555C4—41no—
1556C4—41no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C4—41no—
1561C4—102no—
1562C4—102no—
1563C4—102no—
1564C4—201no—
1565C4—201no—
1566C4—201no—
1567C4—201no—
1568C4—201no—
1569C4—201no—
1570C4—201no—
1571C4—201no—
1572C4—201no—
1573C4—201no—
1574C4—201no—
1575C4—201no—
1576C2—24no—
1577C2—81no—
1578C2—81no—
1579C2—81no—
1580C2—81no—
1581C2—401no—
1582C2C2×#6594711yescharacteristic
1583C2#1061820511yescharacteristic
1584C2#1061820711yescharacteristic
1585C2#1061821311yescharacteristic
1586C2#1061822411yescharacteristic
1587C2#1061829111yescharacteristic
1588C2#1061829211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D5
commutator, socle, cosocleC23×C5C25
FittingC5×#2617C2
hypercenter#2617D5
hypocenterC5#36795
LCSG ▷ C23×C5 ▷ C5
UCSC1 ◁ C23 ◁ #2617

Complements

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

NH ≅ G/Ntype
1. C5×#2617C2semidirect
2. #10614387C2semidirect
3. #10614382C2semidirect
4. #10614320C2semidirect
5. #10614318C2semidirect
6. #10614314C2semidirect
7. #10614312C2semidirect
8. #10613862C2semidirect
9. C2×#65234C2semidirect
10. #10609365C2semidirect
11. #10609358C2semidirect
12. #10609354C2semidirect
13. #10609343C2semidirect
14. #10608814C2semidirect
15. #10608813C2semidirect
16. #10608812C2semidirect
17. #10608799C2semidirect
18. #10608791C2semidirect
19. #10608786C2semidirect
20. #10608769C2semidirect
21. #10608740C2semidirect
22. #10608469C2semidirect
23. #10608467C2semidirect
24. #10608463C2semidirect
25. #10608460C2semidirect
26. #10606601C2semidirect
27. #10606600C2semidirect
28. #10606395C2semidirect
29. #10606393C2semidirect
30. #10605659C2semidirect
31. #10605628C2semidirect
47. C2×#4031C22semidirect
48. C2×#4025C22semidirect
66. #65512C22semidirect
72. #65511C22semidirect
83. #65509C22semidirect
84. #65509C22semidirect
91. #65282C22semidirect
92. #65279C22semidirect
93. #65278C22semidirect
94. #65275C22semidirect
95. #65275C22semidirect
96. #65270C22semidirect
97. #65270C22semidirect
98. #65269C22semidirect
99. #65268C22semidirect
100. #65268C22semidirect
101. #65267C22semidirect
102. #65261C22semidirect
108. #65248C22semidirect
112. #65246C22semidirect
113. #65246C22semidirect
114. #65246C22semidirect
117. #65245C22semidirect
119. #65242C22semidirect
124. #65241C22semidirect
125. #65240C22semidirect
126. #65240C22semidirect
134. #65236C22semidirect
136. #65235C22semidirect
137. #65235C22semidirect
138. #65235C22semidirect
150. #65234C22semidirect
153. #65233C22semidirect
154. #65233C22semidirect
155. #65233C22semidirect
156. #65233C22semidirect
157. #65233C22semidirect
159. #65232C22semidirect
160. #65231C22semidirect
161. #65231C22semidirect
163. #64963C22semidirect
164. #64959C22semidirect
165. #64959C22semidirect
166. #64958C22semidirect
167. #64956C22semidirect
168. #64956C22semidirect
169. C5⋊#401C22semidirect
170. #64947C22semidirect
171. #64946C22semidirect
172. #64944C22semidirect
173. #64942C22semidirect
174. #64941C22semidirect
175. #64941C22semidirect
176. #64941C22semidirect
177. #64941C22semidirect
178. #64940C22semidirect
179. #64940C22semidirect
180. #64939C22semidirect
181. #64936C22semidirect
182. #64936C22semidirect
183. #64935C22semidirect
184. #64935C22semidirect
185. #64935C22semidirect
186. #64935C22semidirect
383. #2617D5semidirect
1500. C5#36795semidirect

Maximal subgroups

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

subgroupindex
C5×#26172
#106143872
#106143822
#106143202
#106143182
#106143142
#106143122
#106138622
C2×#652342
#106093652
#106093582
#106093542
#106093432
#106088142
#106088132
#106088122
#106087992
#106087912
#106087862
#106087692
#106087402
#106084692
#106084672
#106084632
#106084602
#106066012
#106066002
#106063952
#106063932
#106056592
#106056282
#367955