Finite Group Databasebeta

← #12307327

Subgroups — #12307327

Order 1280.

1842 conjugacy classes of subgroups.

The subgroup lattice has 1536 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C5×#2418C211yesmaximal, characteristic, complemented
2#10614616C211yesmaximal, characteristic, complemented
3#10614601C211yesmaximal, characteristic, complemented
4#10614323C211yesmaximal, characteristic
5#10614320C211yesmaximal, characteristic, complemented
6#10614091C211yesmaximal, characteristic, complemented
7#10614058C211yesmaximal, characteristic, complemented
8#10613859C211yesmaximal, characteristic, complemented
9C2×#65233C211yesmaximal, characteristic, complemented
10#10609846C211yesmaximal, characteristic, complemented
11#10609813C211yesmaximal, characteristic, complemented
12#10609343C211yesmaximal, characteristic, complemented
13#10609341C211yesmaximal, characteristic, complemented
14#10608884C211yesmaximal, characteristic, complemented
15#10608809C211yesmaximal, characteristic, complemented
16#10608803C211yesmaximal, characteristic, complemented
17#10608775C211yesmaximal, characteristic, complemented
18#10607536C211yesmaximal, characteristic, complemented
19#10607524C211yesmaximal, characteristic, complemented
20#10607492C211yesmaximal, characteristic, complemented
21#10607476C211yesmaximal, characteristic, complemented
22#10606600C211yesmaximal, characteristic, complemented
23#10606581C211yesmaximal, characteristic, complemented
24#10606560C211yesmaximal, characteristic, complemented
25#10606474C211yesmaximal, characteristic, complemented
26#10606152C211yesmaximal, characteristic, complemented
27#10606118C211yesmaximal, characteristic, complemented
28#10605732C211yesmaximal, characteristic, complemented
29#10605659C211yesmaximal, characteristic, complemented
30#10605567C211yesmaximal, characteristic, complemented
31#10605560C211yesmaximal, characteristic, complemented
32C2×C5×#123C2211yescharacteristic
33C2×C5×#120C2211yescharacteristic
34C2×C4×C5×D4C2211yescharacteristic
35C22×C5×C22⋊C4C2211yescharacteristic
36C2×#4099C2211yescharacteristic
37C22×C22⋊Dic5C2211yescharacteristic
38C22×C22⋊Dic5C2211yescharacteristic
39C2×#4085C2211yescharacteristic
40C2×#4082C2211yescharacteristic
41C2×C4×C22⋊D5C2211yescharacteristic
42C2×#4070C2211yescharacteristic, complemented
43C22×#683C2211yescharacteristic
44C22×C4×Dic5C2211yescharacteristic
45C2×#4042C2211yescharacteristic, complemented
46C2×#4034C2211yescharacteristic, complemented
47C2×#4031C2211yescharacteristic
48C2×#4031C2211yescharacteristic, complemented
49C2×#4029C2211yescharacteristic
50C2×#4024C2211yescharacteristic
51C2×#4024C2211yescharacteristic
52C2×#4024C2211yescharacteristic
53C5×#399C2211yescharacteristic
54C5×#397C2211yescharacteristic
55C5×#394C2211yescharacteristic
56C5×#394C2211yescharacteristic
57C5×#388C2211yescharacteristic
58C5×#388C2211yescharacteristic
59C5×#386C2211yescharacteristic
60C5×#386C2211yescharacteristic
61C5×#385C2211yescharacteristic
62C5×#380C2211yescharacteristic
63C5×#379C2211yescharacteristic
64#65536C2211yescharacteristic
65#65512C2211yescharacteristic
66#65512C2211yescharacteristic
67#65511C2211yescharacteristic
68#65511C2211yescharacteristic
69#65511C2211yescharacteristic
70#65511C2211yescharacteristic
71#65510C2211yescharacteristic
72#65509C2211yescharacteristic
73#65509C2211yescharacteristic
74#65509C2211yescharacteristic
75#65502C2211yescharacteristic
76#65502C2211yescharacteristic, complemented
77#65501C2211yescharacteristic
78#65499C2211yescharacteristic
79#65499C2211yescharacteristic, complemented
80#65499C2211yescharacteristic, complemented
81C2×#3963C2211yescharacteristic
82C2×#3963C2211yescharacteristic
83#65282C2211yescharacteristic, complemented
84#65281C2211yescharacteristic, complemented
85#65279C2211yescharacteristic, complemented
86#65278C2211yescharacteristic, complemented
87#65275C2211yescharacteristic, complemented
88#65274C2211yescharacteristic, complemented
89#65273C2211yescharacteristic, complemented
90#65270C2211yescharacteristic, complemented
91#65268C2211yescharacteristic, complemented
92#65268C2211yescharacteristic, complemented
93#65267C2211yescharacteristic, complemented
94#65267C2211yescharacteristic, complemented
95#65265C2211yescharacteristic, complemented
96#65263C2211yescharacteristic, complemented
97#65262C2211yescharacteristic, complemented
98#65262C2211yescharacteristic, complemented
99#65261C2211yescharacteristic, complemented
100#65261C2211yescharacteristic, complemented
101#65250C2211yescharacteristic
102#65250C2211yescharacteristic
103#65248C2211yescharacteristic
104#65248C2211yescharacteristic
105#65248C2211yescharacteristic
106#65248C2211yescharacteristic
107#65247C2211yescharacteristic
108#65247C2211yescharacteristic
109#65247C2211yescharacteristic
110#65246C2211yescharacteristic
111#65246C2211yescharacteristic, complemented
112#65245C2211yescharacteristic
113#65245C2211yescharacteristic, complemented
114#65242C2211yescharacteristic
115#65242C2211yescharacteristic, complemented
116#65241C2211yescharacteristic
117#65241C2211yescharacteristic
118#65241C2211yescharacteristic
119#65241C2211yescharacteristic
120#65241C2211yescharacteristic, complemented
121#65240C2211yescharacteristic
122#65240C2211yescharacteristic
123#65240C2211yescharacteristic, complemented
124#65240C2211yescharacteristic, complemented
125#65239C2211yescharacteristic
126#65238C2211yescharacteristic
127#65238C2211yescharacteristic
128#65238C2211yescharacteristic
129#65238C2211yescharacteristic, complemented
130#65237C2211yescharacteristic
131#65237C2211yescharacteristic
132#65237C2211yescharacteristic
133#65237C2211yescharacteristic
134#65237C2211yescharacteristic, complemented
135#65236C2211yescharacteristic
136#65236C2211yescharacteristic
137#65236C2211yescharacteristic
138#65236C2211yescharacteristic
139#65235C2211yescharacteristic
140#65234C2211yescharacteristic
141#65234C2211yescharacteristic
142#65234C2211yescharacteristic
143#65234C2211yescharacteristic, complemented
144#65233C2211yescharacteristic
145#65233C2211yescharacteristic
146#65233C2211yescharacteristic
147#65233C2211yescharacteristic
148#65233C2211yescharacteristic
149#65233C2211yescharacteristic
150#65233C2211yescharacteristic
151#65233C2211yescharacteristic
152#65233C2211yescharacteristic
153#65233C2211yescharacteristic, complemented
154#65233C2211yescharacteristic, complemented
155#65231C2211yescharacteristic
156#65231C2211yescharacteristic
157C22⋊C4×Dic5C2211yescharacteristic
158C22⋊C4×Dic5C2211yescharacteristic
159#65229C2211yescharacteristic, complemented
160#65222C2211yescharacteristic, complemented
161#65222C2211yescharacteristic, complemented
162#65217C2211yescharacteristic, complemented
163#64965C2211yescharacteristic, complemented
164#64963C2211yescharacteristic, complemented
165#64959C2211yescharacteristic, complemented
166#64959C2211yescharacteristic, complemented
167#64958C2211yescharacteristic, complemented
168#64957C2211yescharacteristic, complemented
169C5⋊#401C2211yescharacteristic, complemented
170C5⋊#401C2211yescharacteristic, complemented
171#64949C2211yescharacteristic, complemented
172#64946C2211yescharacteristic, complemented
173#64942C2211yescharacteristic, complemented
174#64942C2211yescharacteristic, 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#36766—51nomaximal, Sylow
188C25×C5C2311yescharacteristic
189C22×C5×D4C2311yescharacteristic
190C22×C5×D4C2311yescharacteristic
191C22×C5×D4C2311yescharacteristic
192C23×C4×C5C2311yescharacteristic
193C23×C4×C5C2311yescharacteristic
194C23×C4×C5C2311yescharacteristic
195C22×C22⋊D5C2311yescharacteristic
196C22×C22⋊D5C2311yescharacteristic
197C22×C22⋊D5C2311yescharacteristic
198C22×C22⋊D5C2311yescharacteristic
199C23×Dic5C2311yescharacteristic
200C23×Dic5C2311yescharacteristic
201C23×Dic5C2311yescharacteristic
202C23×Dic5C2311yescharacteristic
203C22×C4×D5C2311yescharacteristic
204C22×Dic10C2311yescharacteristic
205C22×Dic10C2311yescharacteristic
206C22×Dic10C2311yescharacteristic
207C5×#123—42no—
208C5×#120—42no—
209C4×C5×D4—42no—
210C2×C5×C4⋊C4C2311yescharacteristic
211C2×C5×C4⋊C4C2311yescharacteristic
212C2×C5×C4⋊C4C2311yescharacteristic
213C2×C5×C4⋊C4C2311yescharacteristic
214C2×C5×C4⋊C4C2311yescharacteristic
215C2×C5×C22⋊C4—42no—
216C2×C5×C22⋊C4C2311yescharacteristic
217C2×C5×C22⋊C4C2311yescharacteristic
218C2×C5×C22⋊C4C2311yescharacteristic
219C2×C5×C22⋊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×C5×C22⋊C4C2311yescharacteristic
232C2×C42×C5C2311yescharacteristic
233#4099—42no—
234C2×C22⋊Dic5—24no—
235C2×C22⋊Dic5—42no—
236C2×C22⋊Dic5C2311yescharacteristic
237C2×C22⋊Dic5C2311yescharacteristic
238C2×C22⋊Dic5C2311yescharacteristic
239C2×C22⋊Dic5C2311yescharacteristic
240C2×C22⋊Dic5C2311yescharacteristic
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
260#4085—24no—
261#4082—42no—
262C4×C22⋊D5—42no—
263C2×#685C2311yescharacteristic
264C2×#685C2311yescharacteristic
265C2×#685C2311yescharacteristic
266C2×#685C2311yescharacteristic
267C2×#685C2311yescharacteristic
268C2×#685C2311yescharacteristic
269C2×#685C2311yescharacteristic
270C2×#685C2311yescharacteristic
271C2×#685C2311yescharacteristic
272C2×#685C2311yescharacteristic
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×#683—42no—
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×#683C2311yescharacteristic
298C2×#683C2311yescharacteristic
299C2×#683C2311yescharacteristic
300C2×#683C2311yescharacteristic
301C2×#683C2311yescharacteristic
302C2×C4×Dic5—42no—
303C2×C4×Dic5C2311yescharacteristic
304C2×C4×Dic5C2311yescharacteristic
305C2×C4×Dic5C2311yescharacteristic
306C2×C4×Dic5C2311yescharacteristic
307C2×C4×Dic5C2311yescharacteristic
308C2×C4×Dic5C2311yescharacteristic
309C2×C4×Dic5C2311yescharacteristic
310C2×C4×Dic5C2311yescharacteristic
311C2×C4×Dic5C2311yescharacteristic
312#4042—42no—
313#4034—42no—
314#4031—42no—
315#4031—42no—
316#4029—42no—
317#4024—24no—
318#4024—42no—
319#4024—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#2857—51no—
365#2850—51no—
366#2801—51no—
367#2801—51no—
368#2795—51no—
369#2795—51no—
370#2773—51no—
371#2773—51no—
372#2759—51no—
373#2759—51no—
374#2757—51no—
375#2757—51no—
376#2730—51no—
377#2730—51no—
378#2710—51no—
379#2710—51no—
380#2674—51no—
381#2674—51no—
382#2626—51no—
383#2617—51no—
384#2510—51no—
385#2510—51no—
386#2472—51no—
387#2472—51no—
388#2449—51no—
389#2449—51no—
390#2418—51no—
391#2418D511yescharacteristic, complemented
392#2329—51no—
393#2325—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
406C23×D5C2411yescharacteristic
407C2×C5×D4—22no—
408C2×C5×D4—22no—
409C2×C5×D4—22no—
410C2×C5×D4—41no—
411C2×C5×D4—41no—
412C2×C5×D4—41no—
413C2×C5×D4—41no—
414C2×C5×D4—41no—
415C2×C5×D4—41no—
416C22×C4×C5—22no—
417C22×C4×C5—22no—
418C22×C4×C5—22no—
419C22×C4×C5—41no—
420C22×C4×C5—41no—
421C22×C4×C5—41no—
422C22×C4×C5—41no—
423C22×C4×C5—41no—
424C22×C4×C5—41no—
425C22×C4×C5C2411yescharacteristic
426C22×C4×C5C2411yescharacteristic
427C22×C4×C5C2411yescharacteristic
428C22×C4×C5C2411yescharacteristic
429C22×C4×C5C2411yescharacteristic
430C22×C4×C5C2411yescharacteristic
431C22×C4×C5C2411yescharacteristic
432C22×C4×C5C2411yescharacteristic
433C22×C4×C5C2411yescharacteristic
434C22×C4×C5C2411yescharacteristic
435C22×C4×C5C2411yescharacteristic
436C2×C22⋊D5—22no—
437C2×C22⋊D5—22no—
438C2×C22⋊D5—22no—
439C2×C22⋊D5—22no—
440C2×C22⋊D5—41no—
441C2×C22⋊D5—41no—
442C2×C22⋊D5—41no—
443C2×C22⋊D5—41no—
444C2×C22⋊D5—41no—
445C2×C22⋊D5—41no—
446C2×C22⋊D5—41no—
447C2×C22⋊D5—41no—
448C22×Dic5—22no—
449C22×Dic5—22no—
450C22×Dic5—22no—
451C22×Dic5—22no—
452C22×Dic5—41no—
453C22×Dic5—41no—
454C22×Dic5—41no—
455C22×Dic5—41no—
456C22×Dic5—41no—
457C22×Dic5—41no—
458C22×Dic5—41no—
459C22×Dic5#4114yes—
460C22×Dic5C2411yescharacteristic
461C22×Dic5C2411yescharacteristic
462C22×Dic5C2411yescharacteristic
463C22×Dic5C2411yescharacteristic
464C22×Dic5C2411yescharacteristic
465C22×Dic5C2411yescharacteristic
466C22×Dic5C2411yescharacteristic
467C22×Dic5C2411yescharacteristic
468C22×Dic5C2411yescharacteristic
469C22×Dic5C2411yescharacteristic
470C22×Dic5C2411yescharacteristic
471C22×Dic5C2411yescharacteristic
472C22×Dic5C2411yescharacteristic
473C22×Dic5C2411yescharacteristic
474C22×Dic5C2411yescharacteristic
475C2×C4×D5—41no—
476C2×C4×D5—41no—
477C2×C4×D5—41no—
478C2×Dic10—22no—
479C2×Dic10—22no—
480C2×Dic10—22no—
481C2×Dic10—41no—
482C2×Dic10—41no—
483C2×Dic10—41no—
484C2×Dic10—41no—
485C2×Dic10—41no—
486C2×Dic10—41no—
487C5×C4⋊C4—22no—
488C5×C4⋊C4—41no—
489C5×C4⋊C4—41no—
490C5×C4⋊C4—41no—
491C5×C4⋊C4—41no—
492C5×C22⋊C4—22no—
493C5×C22⋊C4—22no—
494C5×C22⋊C4—22no—
495C5×C22⋊C4—22no—
496C5×C22⋊C4—22no—
497C5×C22⋊C4—22no—
498C5×C22⋊C4—41no—
499C5×C22⋊C4—41no—
500C5×C22⋊C4—41no—
501C5×C22⋊C4—41no—
502C5×C22⋊C4—41no—
503C5×C22⋊C4—41no—
504C5×C22⋊C4—41no—
505C5×C22⋊C4—41no—
506C5×C22⋊C4—41no—
507C5×C22⋊C4—41no—
508C42×C5—41no—
509C22⋊Dic5—22no—
510C22⋊Dic5—22no—
511C22⋊Dic5—22no—
512C22⋊Dic5—22no—
513C22⋊Dic5—22no—
514C22⋊Dic5—22no—
515C22⋊Dic5—22no—
516C22⋊Dic5—22no—
517C22⋊Dic5—22no—
518C22⋊Dic5—22no—
519C22⋊Dic5—22no—
520C22⋊Dic5—41no—
521C22⋊Dic5—41no—
522C22⋊Dic5—41no—
523C22⋊Dic5—41no—
524C22⋊Dic5—41no—
525C22⋊Dic5—41no—
526C22⋊Dic5—41no—
527C22⋊Dic5—41no—
528C22⋊Dic5—41no—
529C22⋊Dic5—41no—
530C22⋊Dic5—41no—
531C22⋊Dic5—41no—
532C22⋊Dic5—41no—
533#685—22no—
534#685—22no—
535#685—22no—
536#685—41no—
537#685—41no—
538#685—41no—
539#685—41no—
540#685—41no—
541#685—41no—
542#685—41no—
543C4⋊Dic5—22no—
544C4⋊Dic5—22no—
545C4⋊Dic5—41no—
546C4⋊Dic5—41no—
547C4⋊Dic5—41no—
548C4⋊Dic5—41no—
549C4⋊Dic5—41no—
550#683—22no—
551#683—22no—
552#683—22no—
553#683—22no—
554#683—22no—
555#683—41no—
556#683—41no—
557#683—41no—
558#683—41no—
559#683—41no—
560#683—41no—
561#683—41no—
562#683—41no—
563#683—41no—
564#683—41no—
565#683—41no—
566#683—41no—
567#683—41no—
568#683—41no—
569#683—41no—
570C4×Dic5—22no—
571C4×Dic5—22no—
572C4×Dic5—41no—
573C4×Dic5—41no—
574C4×Dic5—41no—
575C4×Dic5—41no—
576C4×Dic5—41no—
577C4×Dic5—41no—
578C4×Dic5—41no—
579C2×C4⋊Q8—51no—
580C2×#124—51no—
581C2×#124—51no—
582C2×#124—51no—
583C2×#123—51no—
584C2×#123C2×D511yescharacteristic
585C2×C22⋊Q8—51no—
586C2×C22⋊Q8—51no—
587C2×C22⋊Q8—51no—
588C2×C22⋊Q8—51no—
589C2×C22⋊Q8—51no—
590C2×#121—51no—
591C2×#120—51no—
592C2×#120C2×D511yescharacteristic
593C2×C4×D4—51no—
594C2×C4×D4C2×D511yescharacteristic
595C22×C4⋊C4—51no—
596C22×C22⋊C4—51no—
597C22×C22⋊C4—51no—
598C22×C22⋊C4C2×D511yescharacteristic
599C22×C42—51no—
600#401—51no—
601#401—51no—
602#400—51no—
603#400—51no—
604#399—51no—
605#399—51no—
606#399—51no—
607#399—51no—
608#399—51no—
609#399C2×D511yescharacteristic
610#398—51no—
611#398—51no—
612#397—51no—
613#397—51no—
614#397—51no—
615#397—51no—
616#397—51no—
617#397—51no—
618#397—51no—
619#397—51no—
620#397—51no—
621#397C2×D511yescharacteristic
622#396—51no—
623#396—51no—
624#396—51no—
625#396—51no—
626#396—51no—
627#396—51no—
628#395—51no—
629#395—51no—
630#394—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#394C2×D511yescharacteristic
641#394C2×D511yescharacteristic
642#393—51no—
643#393—51no—
644#393—51no—
645#393—51no—
646#392—51no—
647#392—51no—
648#391—51no—
649#391—51no—
650#391—51no—
651#391—51no—
652#391—51no—
653#390—51no—
654#390—51no—
655#390—51no—
656#389—51no—
657#389—51no—
658#389—51no—
659#389—51no—
660#389—51no—
661#389—51no—
662#389—51no—
663#389—51no—
664#388—51no—
665#388—51no—
666#388—51no—
667#388—51no—
668#388—51no—
669#388—51no—
670#388—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#388C2×D511yescharacteristic
689#388C2×D511yescharacteristic
690#387—51no—
691#387—51no—
692#387—51no—
693#387—51no—
694#387—51no—
695#387—51no—
696#387—51no—
697#387—51no—
698#387—51no—
699#387—51no—
700#386—51no—
701#386—51no—
702#386—51no—
703#386—51no—
704#386—51no—
705#386—51no—
706#386—51no—
707#386—51no—
708#386—51no—
709#386—51no—
710#386C2×D511yescharacteristic
711#386C2×D511yescharacteristic
712#385—51no—
713#385—51no—
714#385—51no—
715#385—51no—
716#385—51no—
717#385—51no—
718#385—51no—
719#385C2×D511yescharacteristic
720#384—51no—
721#383—51no—
722#383—51no—
723#382—51no—
724#380—51no—
725#380—51no—
726#380—51no—
727#380C2×D511yescharacteristic
728#379—51no—
729#379C2×D511yescharacteristic
730C4×C22⋊C4—51no—
731C4×C22⋊C4—51no—
732C2×#95—51no—
733C2×#95—51no—
734C23×C5—21no—
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×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—44no—
760C23×C5—44no—
761C23×C5—44no—
762C23×C5—82no—
763C23×C5—82no—
764C23×C5—82no—
765C23×C5—82no—
766C23×C5C2×#4112yes—
767C23×C5H(5,𝔽2)12yes—
768C23×C52−1+412yes—
769C23×C5C2511yescharacteristic
770C22×D5—21no—
771C22×D5—21no—
772C22×D5—21no—
773C22×D5—21no—
774C22×D5—21no—
775C22×D5—21no—
776C22×D5—21no—
777C5×D4—44no—
778C5×D4—82no—
779C5×D4—82no—
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—44no—
813C2×C4×C5—82no—
814C2×C4×C5—82no—
815C2×C4×C5H(5,𝔽2)12yes—
816C22⋊D5—44no—
817C22⋊D5—82no—
818C22⋊D5—82no—
819C22⋊D5—82no—
820C2×Dic5—21no—
821C2×Dic5—21no—
822C2×Dic5—21no—
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—21no—
862C2×Dic5—44no—
863C2×Dic5—44no—
864C2×Dic5—44no—
865C2×Dic5—82no—
866C2×Dic5C2×#4112yes—
867C2×Dic5C2×#4112yes—
868C2×Dic5H(5,𝔽2)12yes—
869C4×D5—82no—
870Dic10—82no—
871Dic10—82no—
872Dic10—82no—
873C25C22×D511yescharacteristic
874C22×Q8—51no—
875C22×Q8—51no—
876C22×Q8—51no—
877C22×D4—51no—
878C22×D4—51no—
879C22×D4—51no—
880C22×D4—51no—
881C22×D4C22×D511yescharacteristic
882C22×D4C22×D511yescharacteristic
883C22×D4C22×D511yescharacteristic
884C23×C4—51no—
885C23×C4—51no—
886C23×C4—51no—
887C23×C4—51no—
888C23×C4—51no—
889C23×C4C22×D511yescharacteristic
890C23×C4C22×D511yescharacteristic
891C23×C4C22×D511yescharacteristic
892C4⋊Q8—202no—
893#124—202no—
894#124—202no—
895#124—202no—
896#123—42no—
897#123—202no—
898C22⋊Q8—104no—
899C22⋊Q8—202no—
900C22⋊Q8—202no—
901C22⋊Q8—202no—
902C22⋊Q8—202no—
903#121—104no—
904#120—42no—
905#120—202no—
906C4×D4—42no—
907C4×D4—202no—
908C2×C4⋊C4—51no—
909C2×C4⋊C4—51no—
910C2×C4⋊C4—51no—
911C2×C4⋊C4—51no—
912C2×C4⋊C4—51no—
913C2×C4⋊C4—51no—
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—202no—
936C2×C4⋊C4C22×D511yescharacteristic
937C2×C4⋊C4C22×D511yescharacteristic
938C2×C4⋊C4C22×D511yescharacteristic
939C2×C4⋊C4C22×D511yescharacteristic
940C2×C4⋊C4C22×D511yescharacteristic
941C2×C22⋊C4—42no—
942C2×C22⋊C4—51no—
943C2×C22⋊C4—51no—
944C2×C22⋊C4—51no—
945C2×C22⋊C4—51no—
946C2×C22⋊C4—51no—
947C2×C22⋊C4—51no—
948C2×C22⋊C4—51no—
949C2×C22⋊C4—51no—
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—104no—
977C2×C22⋊C4—202no—
978C2×C22⋊C4C22×D511yescharacteristic
979C2×C22⋊C4C22×D511yescharacteristic
980C2×C22⋊C4C22×D511yescharacteristic
981C2×C22⋊C4C22×D511yescharacteristic
982C2×C22⋊C4C22×D511yescharacteristic
983C2×C22⋊C4C22×D511yescharacteristic
984C2×C22⋊C4C22×D511yescharacteristic
985C2×C22⋊C4C22×D511yescharacteristic
986C2×C22⋊C4C22×D511yescharacteristic
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×C42—51no—
995C2×C42—51no—
996C2×C42—51no—
997C2×C42—51no—
998C2×C42—51no—
999C2×C42—51no—
1000C2×C42—51no—
1001C2×C42—51no—
1002C2×C42—51no—
1003C2×C42—202no—
1004C2×C42C22×D511yescharacteristic
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#95—51no—
1041#95—51no—
1042#95—51no—
1043#95C22×D511yescharacteristic
1044#95C22×D511yescharacteristic
1045#95C22×D511yescharacteristic
1046#95C22×D511yescharacteristic
1047#95C22×D511yescharacteristic
1048#95C22×D511yescharacteristic
1049C22×C5—22no—
1050C22×C5—22no—
1051C22×C5—22no—
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×C5—41no—
1067C22×C5—41no—
1068C22×C5—41no—
1069C22×C5—41no—
1070C22×C5—41no—
1071C22×C5—41no—
1072C22×C5—41no—
1073C22×C5—41no—
1074C22×C5—41no—
1075C22×C5—41no—
1076C22×C5—88no—
1077C22×C5#54214yes—
1078C22×C5C22×#4111yescharacteristic
1079C22×C5C2×H(5,𝔽2)11yescharacteristic
1080C22×C5C2×H(5,𝔽2)11yescharacteristic
1081C22×C5C2×H(5,𝔽2)11yescharacteristic
1082C22×C5C2×2−1+411yescharacteristic
1083C22×C5#58511yescharacteristic
1084C22×C5#58511yescharacteristic
1085C2×D5—41no—
1086C2×D5—41no—
1087C2×D5—41no—
1088C2×D5—41no—
1089C2×D5—41no—
1090C2×D5—41no—
1091C2×D5—41no—
1092C4×C5—22no—
1093C4×C5—41no—
1094C4×C5—41no—
1095C4×C5—41no—
1096C4×C5—41no—
1097C4×C5—41no—
1098C4×C5—41no—
1099C4×C5—41no—
1100C4×C5—41no—
1101C4×C5—41no—
1102C4×C5—41no—
1103Dic5—22no—
1104Dic5—22no—
1105Dic5—22no—
1106Dic5—41no—
1107Dic5—41no—
1108Dic5—41no—
1109Dic5—41no—
1110Dic5—41no—
1111Dic5—41no—
1112Dic5—41no—
1113Dic5—41no—
1114Dic5—41no—
1115Dic5—41no—
1116Dic5—41no—
1117Dic5—41no—
1118C24—22no—
1119C24—22no—
1120C24—22no—
1121C24—41no—
1122C24—41no—
1123C24—41no—
1124C24—41no—
1125C24—51no—
1126C24C23×D511yescharacteristic
1127C24C23×D511yescharacteristic
1128C24C23×D511yescharacteristic
1129C24C23×D511yescharacteristic
1130C2×Q8—102no—
1131C2×Q8—102no—
1132C2×Q8—102no—
1133C2×Q8—201no—
1134C2×Q8—201no—
1135C2×Q8—201no—
1136C2×Q8—201no—
1137C2×Q8—201no—
1138C2×Q8—201no—
1139C2×D4—22no—
1140C2×D4—22no—
1141C2×D4—22no—
1142C2×D4—41no—
1143C2×D4—41no—
1144C2×D4—41no—
1145C2×D4—41no—
1146C2×D4—41no—
1147C2×D4—41no—
1148C2×D4—102no—
1149C2×D4—102no—
1150C2×D4—102no—
1151C2×D4—102no—
1152C2×D4—201no—
1153C2×D4—201no—
1154C2×D4—201no—
1155C2×D4—201no—
1156C2×D4—201no—
1157C2×D4—201no—
1158C2×D4—201no—
1159C2×D4—201no—
1160C22×C4—22no—
1161C22×C4—22no—
1162C22×C4—22no—
1163C22×C4—41no—
1164C22×C4—41no—
1165C22×C4—41no—
1166C22×C4—41no—
1167C22×C4—41no—
1168C22×C4—41no—
1169C22×C4—51no—
1170C22×C4—51no—
1171C22×C4—51no—
1172C22×C4—54no—
1173C22×C4—51no—
1174C22×C4—51no—
1175C22×C4—51no—
1176C22×C4—51no—
1177C22×C4—51no—
1178C22×C4—51no—
1179C22×C4—51no—
1180C22×C4—51no—
1181C22×C4—51no—
1182C22×C4—51no—
1183C22×C4—51no—
1184C22×C4—51no—
1185C22×C4—102no—
1186C22×C4—102no—
1187C22×C4—102no—
1188C22×C4—102no—
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×C4C23×D511yescharacteristic
1200C22×C4C23×D511yescharacteristic
1201C22×C4C23×D511yescharacteristic
1202C22×C4C23×D511yescharacteristic
1203C22×C4C23×D511yescharacteristic
1204C22×C4C23×D511yescharacteristic
1205C22×C4C23×D511yescharacteristic
1206C22×C4C23×D511yescharacteristic
1207C22×C4C23×D511yescharacteristic
1208C22×C4C23×D511yescharacteristic
1209C22×C4C23×D511yescharacteristic
1210C4⋊C4—22no—
1211C4⋊C4—41no—
1212C4⋊C4—41no—
1213C4⋊C4—41no—
1214C4⋊C4—41no—
1215C4⋊C4—102no—
1216C4⋊C4—102no—
1217C4⋊C4—102no—
1218C4⋊C4—102no—
1219C4⋊C4—102no—
1220C4⋊C4—102no—
1221C4⋊C4—102no—
1222C4⋊C4—201no—
1223C4⋊C4—201no—
1224C4⋊C4—201no—
1225C4⋊C4—201no—
1226C4⋊C4—201no—
1227C4⋊C4—201no—
1228C4⋊C4—201no—
1229C4⋊C4—201no—
1230C4⋊C4—201no—
1231C4⋊C4—201no—
1232C4⋊C4—201no—
1233C4⋊C4—201no—
1234C4⋊C4—201no—
1235C4⋊C4—201no—
1236C4⋊C4—201no—
1237C4⋊C4—201no—
1238C4⋊C4—201no—
1239C4⋊C4—201no—
1240C4⋊C4—201no—
1241C4⋊C4—201no—
1242C22⋊C4—22no—
1243C22⋊C4—22no—
1244C22⋊C4—22no—
1245C22⋊C4—22no—
1246C22⋊C4—22no—
1247C22⋊C4—22no—
1248C22⋊C4—41no—
1249C22⋊C4—41no—
1250C22⋊C4—41no—
1251C22⋊C4—41no—
1252C22⋊C4—41no—
1253C22⋊C4—41no—
1254C22⋊C4—41no—
1255C22⋊C4—41no—
1256C22⋊C4—41no—
1257C22⋊C4—41no—
1258C22⋊C4—102no—
1259C22⋊C4—102no—
1260C22⋊C4—102no—
1261C22⋊C4—102no—
1262C22⋊C4—102no—
1263C22⋊C4—102no—
1264C22⋊C4—102no—
1265C22⋊C4—102no—
1266C22⋊C4—102no—
1267C22⋊C4—102no—
1268C22⋊C4—102no—
1269C22⋊C4—102no—
1270C22⋊C4—102no—
1271C22⋊C4—102no—
1272C22⋊C4—201no—
1273C22⋊C4—201no—
1274C22⋊C4—201no—
1275C22⋊C4—201no—
1276C22⋊C4—201no—
1277C22⋊C4—201no—
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—
1292C42—41no—
1293C42—102no—
1294C42—102no—
1295C42—201no—
1296C42—201no—
1297C42—201no—
1298C42—201no—
1299C42—201no—
1300C42—201no—
1301C42—201no—
1302C2×C5—24no—
1303C2×C5—81no—
1304C2×C5—81no—
1305C2×C5—81no—
1306C2×C5C2×#54211yescharacteristic
1307C2×C5#350511yescharacteristic
1308C2×C5#350611yescharacteristic
1309C2×C5#353511yescharacteristic
1310C2×C5#353711yescharacteristic
1311C2×C5#356011yescharacteristic
1312C2×C5#356111yescharacteristic
1313D5—81no—
1314C23—21no—
1315C23—21no—
1316C23—21no—
1317C23—21no—
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—21no—
1332C23—21no—
1333C23—21no—
1334C23—21no—
1335C23—21no—
1336C23—21no—
1337C23—21no—
1338C23—21no—
1339C23—44no—
1340C23—44no—
1341C23—44no—
1342C23—82no—
1343C23—82no—
1344C23—82no—
1345C23—82no—
1346C23—101no—
1347C23—101no—
1348C23—101no—
1349C23—101no—
1350C23—101no—
1351C23—101no—
1352C23—101no—
1353C23#414412yes—
1354C23D5×#4112yes—
1355C23#415012yes—
1356C23C24×D511yescharacteristic
1357Q8—402no—
1358Q8—402no—
1359Q8—402no—
1360D4—44no—
1361D4—82no—
1362D4—82no—
1363D4—204no—
1364D4—402no—
1365D4—402no—
1366D4—402no—
1367C2×C4—21no—
1368C2×C4—21no—
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—44no—
1400C2×C4—52no—
1401C2×C4—52no—
1402C2×C4—52no—
1403C2×C4—82no—
1404C2×C4—82no—
1405C2×C4—101no—
1406C2×C4—101no—
1407C2×C4—101no—
1408C2×C4—101no—
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—402no—
1451C2×C4—402no—
1452C2×C4#414412yes—
1453C5#3676611yescharacteristic, complemented, Sylow
1454C22—22no—
1455C22—22no—
1456C22—22no—
1457C22—22no—
1458C22—22no—
1459C22—22no—
1460C22—41no—
1461C22—41no—
1462C22—41no—
1463C22—41no—
1464C22—41no—
1465C22—41no—
1466C22—41no—
1467C22—41no—
1468C22—41no—
1469C22—41no—
1470C22—41no—
1471C22—41no—
1472C22—41no—
1473C22—41no—
1474C22—41no—
1475C22—41no—
1476C22—41no—
1477C22—41no—
1478C22—41no—
1479C22—41no—
1480C22—41no—
1481C22—88no—
1482C22—201no—
1483C22—201no—
1484C22—201no—
1485C22—201no—
1486C22—201no—
1487C22—201no—
1488C22—201no—
1489C22#6599614yes—
1490C22C2×#414411yescharacteristic
1491C22C2×#414411yescharacteristic
1492C22C2×D5×#4111yescharacteristic
1493C22C2×#415011yescharacteristic
1494C22#6628311yescharacteristic
1495C22D5×H(5,𝔽2)11yescharacteristic
1496C22#6628511yescharacteristic
1497C4—22no—
1498C4—41no—
1499C4—41no—
1500C4—41no—
1501C4—41no—
1502C4—41no—
1503C4—41no—
1504C4—41no—
1505C4—41no—
1506C4—41no—
1507C4—41no—
1508C4—102no—
1509C4—102no—
1510C4—102no—
1511C4—201no—
1512C4—201no—
1513C4—201no—
1514C4—201no—
1515C4—201no—
1516C4—201no—
1517C4—201no—
1518C4—201no—
1519C4—201no—
1520C4—201no—
1521C4—201no—
1522C4—201no—
1523C2—24no—
1524C2—81no—
1525C2—81no—
1526C2—81no—
1527C2—401no—
1528C2C2×#6599611yescharacteristic
1529C2#1061794511yescharacteristic
1530C2#1061829211yescharacteristic
1531C2#1061852411yescharacteristic
1532C2#1061854711yescharacteristic
1533C2#1061855811yescharacteristic
1534C2#1061870911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D5
commutator, socle, cosocleC23×C5C25
FittingC5×#2418C2
prime radical#10614323C2
hypercenter#2418D5
hypocenterC5#36766
LCSG ▷ C23×C5 ▷ C5
UCSC1 ◁ C23 ◁ #2418

Complements

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

NH ≅ G/Ntype
1. C5×#2418C2semidirect
2. #10614616C2semidirect
3. #10614601C2semidirect
5. #10614320C2semidirect
6. #10614091C2semidirect
7. #10614058C2semidirect
8. #10613859C2semidirect
9. C2×#65233C2semidirect
10. #10609846C2semidirect
11. #10609813C2semidirect
12. #10609343C2semidirect
13. #10609341C2semidirect
14. #10608884C2semidirect
15. #10608809C2semidirect
16. #10608803C2semidirect
17. #10608775C2semidirect
18. #10607536C2semidirect
19. #10607524C2semidirect
20. #10607492C2semidirect
21. #10607476C2semidirect
22. #10606600C2semidirect
23. #10606581C2semidirect
24. #10606560C2semidirect
25. #10606474C2semidirect
26. #10606152C2semidirect
27. #10606118C2semidirect
28. #10605732C2semidirect
29. #10605659C2semidirect
30. #10605567C2semidirect
31. #10605560C2semidirect
42. C2×#4070C22semidirect
45. C2×#4042C22semidirect
46. C2×#4034C22semidirect
48. C2×#4031C22semidirect
76. #65502C22semidirect
79. #65499C22semidirect
80. #65499C22semidirect
83. #65282C22semidirect
84. #65281C22semidirect
85. #65279C22semidirect
86. #65278C22semidirect
87. #65275C22semidirect
88. #65274C22semidirect
89. #65273C22semidirect
90. #65270C22semidirect
91. #65268C22semidirect
92. #65268C22semidirect
93. #65267C22semidirect
94. #65267C22semidirect
95. #65265C22semidirect
96. #65263C22semidirect
97. #65262C22semidirect
98. #65262C22semidirect
99. #65261C22semidirect
100. #65261C22semidirect
111. #65246C22semidirect
113. #65245C22semidirect
115. #65242C22semidirect
120. #65241C22semidirect
123. #65240C22semidirect
124. #65240C22semidirect
129. #65238C22semidirect
134. #65237C22semidirect
143. #65234C22semidirect
153. #65233C22semidirect
154. #65233C22semidirect
159. #65229C22semidirect
160. #65222C22semidirect
161. #65222C22semidirect
162. #65217C22semidirect
163. #64965C22semidirect
164. #64963C22semidirect
165. #64959C22semidirect
166. #64959C22semidirect
167. #64958C22semidirect
168. #64957C22semidirect
169. C5⋊#401C22semidirect
170. C5⋊#401C22semidirect
171. #64949C22semidirect
172. #64946C22semidirect
173. #64942C22semidirect
174. #64942C22semidirect
175. #64941C22semidirect
176. #64941C22semidirect
177. #64941C22semidirect
178. #64940C22semidirect
179. #64940C22semidirect
180. #64939C22semidirect
181. #64936C22semidirect
182. #64936C22semidirect
183. #64935C22semidirect
184. #64935C22semidirect
185. #64935C22semidirect
186. #64935C22semidirect
391. #2418D5semidirect
1453. C5#36766semidirect

Maximal subgroups

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

subgroupindex
C5×#24182
#106146162
#106146012
#106143232
#106143202
#106140912
#106140582
#106138592
C2×#652332
#106098462
#106098132
#106093432
#106093412
#106088842
#106088092
#106088032
#106087752
#106075362
#106075242
#106074922
#106074762
#106066002
#106065812
#106065602
#106064742
#106061522
#106061182
#106057322
#106056592
#106055672
#106055602
#367665