Finite Group Databasebeta

← #12307167

Subgroups — #12307167

Order 1280.

2210 conjugacy classes of subgroups.

The subgroup lattice has 1686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C5×#2424C211yesmaximal, characteristic, complemented
2#10614454C211yesmaximal, characteristic, complemented
3#10614450C211yesmaximal, characteristic, complemented
4#10614419C211yesmaximal, characteristic, complemented
5#10614376C211yesmaximal, characteristic, complemented
6#10614338C211yesmaximal, characteristic, complemented
7#10614338C211yesmaximal, characteristic, complemented
8#10614320C211yesmaximal, characteristic, complemented
9#10614316C211yesmaximal, characteristic, complemented
10#10614126C211yesmaximal, characteristic, complemented
11#10614085C211yesmaximal, characteristic, complemented
12C2×#65245C211yesmaximal, characteristic, complemented
13#10613843C211yesmaximal, characteristic, complemented
14#10609171C211yesmaximal, characteristic, complemented
15#10609121C211yesmaximal, characteristic, complemented
16#10608795C211yesmaximal, characteristic, complemented
17#10608791C211yesmaximal, characteristic, complemented
18#10608789C211yesmaximal, characteristic, complemented
19#10608775C211yesmaximal, characteristic, complemented
20#10608461C211yesmaximal, characteristic, complemented
21#10608454C211yesmaximal, characteristic, complemented
22#10608202C211yesmaximal, characteristic, complemented
23#10608115C211yesmaximal, characteristic, complemented
24#10607681C211yesmaximal, characteristic, complemented
25#10607670C211yesmaximal, characteristic, complemented
26#10606661C211yesmaximal, characteristic, complemented
27#10606606C211yesmaximal, characteristic, complemented
28#10606586C211yesmaximal, characteristic, complemented
29#10606470C211yesmaximal, characteristic, complemented
30#10606386C211yesmaximal, characteristic, complemented
31#10606190C211yesmaximal, characteristic, complemented
32C23×C22⋊D5C2211yescharacteristic
33C23×C4×D5C2211yescharacteristic
34C2×C5×#121C2211yescharacteristic
35C2×C5×#121C2211yescharacteristic, complemented
36C2×C5×#120C2211yescharacteristic
37C2×C5×#120C2211yescharacteristic
38C2×C4×C5×D4C2211yescharacteristic
39C22×C5×C22⋊C4C2211yescharacteristic
40C22×C22⋊Dic5C2211yescharacteristic
41C2×#4084C2211yescharacteristic, complemented
42C2×#4084C2211yescharacteristic, complemented
43C2×#4083C2211yescharacteristic
44C2×#4083C2211yescharacteristic
45C2×#4082C2211yescharacteristic, complemented
46C2×#4081C2211yescharacteristic
47C2×#4081C2211yescharacteristic
48C2×#4081C2211yescharacteristic, complemented
49C2×D4×Dic5C2211yescharacteristic
50C22×#685C2211yescharacteristic
51C2×#4042C2211yescharacteristic, complemented
52C2×#4042C2211yescharacteristic, complemented
53C2×#4025C2211yescharacteristic, complemented
54C2×#4024C2211yescharacteristic
55C5×#396C2211yescharacteristic, complemented
56C5×#394C2211yescharacteristic, complemented
57C5×#394C2211yescharacteristic, complemented
58C5×#392C2211yescharacteristic, complemented
59C5×#390C2211yescharacteristic, complemented
60C5×#388C2211yescharacteristic, complemented
61C5×#386C2211yescharacteristic
62C5×#386C2211yescharacteristic, complemented
63C5×#385C2211yescharacteristic
64#65536C2211yescharacteristic
65#65536C2211yescharacteristic
66#65512C2211yescharacteristic
67#65512C2211yescharacteristic
68#65512C2211yescharacteristic
69#65512C2211yescharacteristic
70#65512C2211yescharacteristic
71#65512C2211yescharacteristic
72#65512C2211yescharacteristic
73#65512C2211yescharacteristic
74#65511C2211yescharacteristic, complemented
75#65511C2211yescharacteristic, complemented
76#65511C2211yescharacteristic, complemented
77#65511C2211yescharacteristic, complemented
78#65511C2211yescharacteristic, complemented
79#65510C2211yescharacteristic, complemented
80#65509C2211yescharacteristic
81#65509C2211yescharacteristic
82#65509C2211yescharacteristic
83#65509C2211yescharacteristic, complemented
84#65509C2211yescharacteristic, complemented
85#65502C2211yescharacteristic, complemented
86#65502C2211yescharacteristic, complemented
87#65501C2211yescharacteristic
88#65500C2211yescharacteristic, complemented
89#65499C2211yescharacteristic
90#65499C2211yescharacteristic
91#65499C2211yescharacteristic, complemented
92C4×C22⋊Dic5C2211yescharacteristic
93C2×#3963C2211yescharacteristic
94C2×#3963C2211yescharacteristic
95#65279C2211yescharacteristic, complemented
96#65279C2211yescharacteristic, complemented
97#65278C2211yescharacteristic, complemented
98#65278C2211yescharacteristic, complemented
99#65276C2211yescharacteristic, complemented
100#65276C2211yescharacteristic, complemented
101#65275C2211yescharacteristic, complemented
102#65273C2211yescharacteristic, complemented
103#65271C2211yescharacteristic, complemented
104#65271C2211yescharacteristic, complemented
105#65270C2211yescharacteristic, complemented
106#65269C2211yescharacteristic, complemented
107#65267C2211yescharacteristic, complemented
108#65261C2211yescharacteristic, complemented
109#65248C2211yescharacteristic
110#65248C2211yescharacteristic
111#65248C2211yescharacteristic
112#65248C2211yescharacteristic
113#65248C2211yescharacteristic
114#65248C2211yescharacteristic
115#65248C2211yescharacteristic
116#65248C2211yescharacteristic
117#65247C2211yescharacteristic, complemented
118#65247C2211yescharacteristic, complemented
119#65246C2211yescharacteristic, complemented
120#65246C2211yescharacteristic, complemented
121#65246C2211yescharacteristic, complemented
122#65246C2211yescharacteristic, complemented
123#65245C2211yescharacteristic
124#65245C2211yescharacteristic
125#65245C2211yescharacteristic
126#65245C2211yescharacteristic
127#65245C2211yescharacteristic
128#65245C2211yescharacteristic
129#65245C2211yescharacteristic
130#65245C2211yescharacteristic
131#65245C2211yescharacteristic, complemented
132#65245C2211yescharacteristic, complemented
133#65245C2211yescharacteristic, complemented
134#65245C2211yescharacteristic, complemented
135#65244C2211yescharacteristic
136#65244C2211yescharacteristic
137#65242C2211yescharacteristic, complemented
138#65242C2211yescharacteristic, complemented
139#65242C2211yescharacteristic, complemented
140#65241C2211yescharacteristic, complemented
141#65241C2211yescharacteristic, complemented
142#65241C2211yescharacteristic, complemented
143#65241C2211yescharacteristic, complemented
144#65241C2211yescharacteristic, complemented
145#65241C2211yescharacteristic, complemented
146#65240C2211yescharacteristic, complemented
147#65240C2211yescharacteristic, complemented
148#65238C2211yescharacteristic, complemented
149#65237C2211yescharacteristic, complemented
150#65237C2211yescharacteristic, complemented
151#65236C2211yescharacteristic, complemented
152#65236C2211yescharacteristic, complemented
153#65235C2211yescharacteristic
154#65234C2211yescharacteristic, complemented
155#65234C2211yescharacteristic, complemented
156#65234C2211yescharacteristic, complemented
157#65234C2211yescharacteristic, complemented
158#65233C2211yescharacteristic, complemented
159#65233C2211yescharacteristic, complemented
160#65233C2211yescharacteristic, complemented
161#65233C2211yescharacteristic, complemented
162#65232C2211yescharacteristic
163#65232C2211yescharacteristic
164#65231C2211yescharacteristic
165#65231C2211yescharacteristic, complemented
166C22⋊C4×Dic5C2211yescharacteristic
167#65229C2211yescharacteristic, complemented
168#65229C2211yescharacteristic, complemented
169#65222C2211yescharacteristic, complemented
170#65222C2211yescharacteristic, complemented
171#64959C2211yescharacteristic, complemented
172#64959C2211yescharacteristic, complemented
173#64958C2211yescharacteristic, complemented
174#64958C2211yescharacteristic, complemented
175#64957C2211yescharacteristic, complemented
176#64957C2211yescharacteristic, complemented
177#64956C2211yescharacteristic, complemented
178#64956C2211yescharacteristic, complemented
179C5⋊#401C2211yescharacteristic, complemented
180#64949C2211yescharacteristic, complemented
181#64949C2211yescharacteristic, complemented
182#64947C2211yescharacteristic, complemented
183#64943C2211yescharacteristic, complemented
184#64940C2211yescharacteristic, complemented
185#64939C2211yescharacteristic, complemented
186#64935C2211yescharacteristic, complemented
187#36758—51nomaximal, Sylow
188C25×C5C2311yescharacteristic
189C24×D5C2311yescharacteristic
190C22×C5×D4C2311yescharacteristic
191C22×C5×D4C2311yescharacteristic
192C22×C5×D4C2311yescharacteristic
193C22×C5×D4C2311yescharacteristic
194C22×C5×D4C2311yescharacteristic
195C22×C5×D4C2311yescharacteristic
196C22×C5×D4C2311yescharacteristic
197C23×C4×C5C2311yescharacteristic
198C23×C4×C5C2311yescharacteristic
199C23×C4×C5C2311yescharacteristic
200C22×C22⋊D5—24no—
201C22×C22⋊D5—42no—
202C22×C22⋊D5—42no—
203C22×C22⋊D5C2311yescharacteristic
204C22×C22⋊D5C2311yescharacteristic
205C22×C22⋊D5C2311yescharacteristic
206C22×C22⋊D5C2311yescharacteristic
207C22×C22⋊D5C2311yescharacteristic
208C22×C22⋊D5C2311yescharacteristic
209C22×C22⋊D5C2311yescharacteristic
210C22×C22⋊D5C2311yescharacteristic
211C23×Dic5C2311yescharacteristic
212C23×Dic5C2311yescharacteristic
213C23×Dic5C2311yescharacteristic
214C23×Dic5C2311yescharacteristic
215C22×C4×D5—42no—
216C22×C4×D5—42no—
217C22×C4×D5—42no—
218C22×C4×D5C2311yescharacteristic
219C22×C4×D5C2311yescharacteristic
220C22×C4×D5C2311yescharacteristic
221C22×C4×D5C2311yescharacteristic
222C22×Dic10C2311yescharacteristic
223C5×#121—42no—
224C5×#121—42no—
225C5×#120—42no—
226C5×#120—42no—
227C4×C5×D4—42no—
228C2×C5×C4⋊C4C2311yescharacteristic
229C2×C5×C4⋊C4C2311yescharacteristic
230C2×C5×C4⋊C4C2311yescharacteristic
231C2×C5×C4⋊C4C2311yescharacteristic
232C2×C5×C22⋊C4—42no—
233C2×C5×C22⋊C4C2311yescharacteristic
234C2×C5×C22⋊C4C2311yescharacteristic
235C2×C5×C22⋊C4C2311yescharacteristic
236C2×C5×C22⋊C4C2311yescharacteristic
237C2×C5×C22⋊C4C2311yescharacteristic
238C2×C5×C22⋊C4C2311yescharacteristic
239C2×C5×C22⋊C4C2311yescharacteristic
240C2×C5×C22⋊C4C2311yescharacteristic
241C2×C5×C22⋊C4C2311yescharacteristic
242C2×C5×C22⋊C4C2311yescharacteristic
243C2×C5×C22⋊C4C2311yescharacteristic
244C2×C5×C22⋊C4C2311yescharacteristic
245C2×C5×C22⋊C4C2311yescharacteristic
246C2×C5×C22⋊C4C2311yescharacteristic
247C2×C5×C22⋊C4C2311yescharacteristic
248C2×C42×C5C2311yescharacteristic
249C2×C22⋊Dic5—42no—
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
270C2×C22⋊Dic5C2311yescharacteristic
271C2×C22⋊Dic5C2311yescharacteristic
272C2×C22⋊Dic5C2311yescharacteristic
273C2×C22⋊Dic5C2311yescharacteristic
274C2×C22⋊Dic5C2311yescharacteristic
275C2×C22⋊Dic5C2311yescharacteristic
276C2×C22⋊Dic5C2311yescharacteristic
277#4084—42no—
278#4084—42no—
279#4083—24no—
280#4083—24no—
281#4082—42no—
282#4081—42no—
283#4081—42no—
284#4081—42no—
285D4×Dic5—42no—
286C2×#685—42no—
287C2×#685C2311yescharacteristic
288C2×#685C2311yescharacteristic
289C2×#685C2311yescharacteristic
290C2×#685C2311yescharacteristic
291C2×#685C2311yescharacteristic
292C2×#685C2311yescharacteristic
293C2×#685C2311yescharacteristic
294C2×#685C2311yescharacteristic
295C2×#685C2311yescharacteristic
296C2×#685C2311yescharacteristic
297C2×#685C2311yescharacteristic
298C2×#685C2311yescharacteristic
299C2×#685C2311yescharacteristic
300C2×#685C2311yescharacteristic
301C2×#685C2311yescharacteristic
302C2×#685C2311yescharacteristic
303C2×C4⋊Dic5C2311yescharacteristic
304C2×C4⋊Dic5C2311yescharacteristic
305C2×C4⋊Dic5C2311yescharacteristic
306C2×C4⋊Dic5C2311yescharacteristic
307C2×#683C2311yescharacteristic
308C2×#683C2311yescharacteristic
309C2×#683C2311yescharacteristic
310C2×#683C2311yescharacteristic
311C2×#683C2311yescharacteristic
312C2×#683C2311yescharacteristic
313C2×#683C2311yescharacteristic
314C2×#683C2311yescharacteristic
315C2×#683C2311yescharacteristic
316C2×#683C2311yescharacteristic
317C2×#683C2311yescharacteristic
318C2×#683C2311yescharacteristic
319C2×#683C2311yescharacteristic
320C2×#683C2311yescharacteristic
321C2×C4×Dic5C2311yescharacteristic
322C2×C4×Dic5C2311yescharacteristic
323C2×C4×Dic5C2311yescharacteristic
324C2×C4×Dic5C2311yescharacteristic
325C2×C4×Dic5C2311yescharacteristic
326#4042—42no—
327#4042—42no—
328#4025—42no—
329#4024—42no—
330C5×#95C2311yescharacteristic
331C5×#95C2311yescharacteristic
332C5×#95C2311yescharacteristic
333C5×#95C2311yescharacteristic
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#3963C2311yescharacteristic
365#3963C2311yescharacteristic
366#3963C2311yescharacteristic
367#3963C2311yescharacteristic
368#3963C2311yescharacteristic
369#3963C2311yescharacteristic
370#2848—51no—
371#2847—51no—
372#2797—51no—
373#2781—51no—
374#2779—51no—
375#2778—51no—
376#2778—51no—
377#2756—51no—
378#2753—51no—
379#2749—51no—
380#2741—51no—
381#2730—51no—
382#2714—51no—
383#2703—51no—
384#2702—51no—
385#2696—51no—
386#2688—51no—
387#2676—51no—
388#2613—51no—
389#2613—51no—
390#2493—51no—
391#2488—51no—
392#2480—51no—
393#2472—51no—
394#2425—51no—
395#2424D511yescharacteristic, complemented
396#2419—51no—
397#2418—51no—
398#2321—51no—
399#2321—51no—
400C2×#386—51no—
401C24×C5—22no—
402C24×C5—22no—
403C24×C5—22no—
404C24×C5—41no—
405C24×C5—41no—
406C24×C5—41no—
407C24×C5—41no—
408C24×C5C2411yescharacteristic
409C24×C5C2411yescharacteristic
410C24×C5C2411yescharacteristic
411C24×C5C2411yescharacteristic
412C24×C5C2411yescharacteristic
413C23×D5—22no—
414C23×D5—22no—
415C23×D5—41no—
416C23×D5—41no—
417C23×D5—41no—
418C23×D5—41no—
419C23×D5#4114yes—
420C23×D5C2411yescharacteristic
421C23×D5C2411yescharacteristic
422C2×C5×D4—22no—
423C2×C5×D4—22no—
424C2×C5×D4—22no—
425C2×C5×D4—22no—
426C2×C5×D4—22no—
427C2×C5×D4—22no—
428C2×C5×D4—22no—
429C2×C5×D4—41no—
430C2×C5×D4—41no—
431C2×C5×D4—41no—
432C2×C5×D4—41no—
433C2×C5×D4—41no—
434C2×C5×D4—41no—
435C2×C5×D4—41no—
436C2×C5×D4—41no—
437C2×C5×D4—41no—
438C2×C5×D4—41no—
439C2×C5×D4—41no—
440C2×C5×D4—41no—
441C2×C5×D4—41no—
442C2×C5×D4—41no—
443C22×C4×C5—22no—
444C22×C4×C5—22no—
445C22×C4×C5—22no—
446C22×C4×C5—41no—
447C22×C4×C5—41no—
448C22×C4×C5—41no—
449C22×C4×C5—41no—
450C22×C4×C5—41no—
451C22×C4×C5—41no—
452C22×C4×C5C2411yescharacteristic
453C22×C4×C5C2411yescharacteristic
454C22×C4×C5C2411yescharacteristic
455C22×C4×C5C2411yescharacteristic
456C22×C4×C5C2411yescharacteristic
457C22×C4×C5C2411yescharacteristic
458C22×C4×C5C2411yescharacteristic
459C22×C4×C5C2411yescharacteristic
460C22×C4×C5C2411yescharacteristic
461C22×C4×C5C2411yescharacteristic
462C2×C22⋊D5—22no—
463C2×C22⋊D5—22no—
464C2×C22⋊D5—22no—
465C2×C22⋊D5—22no—
466C2×C22⋊D5—22no—
467C2×C22⋊D5—22no—
468C2×C22⋊D5—22no—
469C2×C22⋊D5—22no—
470C2×C22⋊D5—41no—
471C2×C22⋊D5—41no—
472C2×C22⋊D5—41no—
473C2×C22⋊D5—41no—
474C2×C22⋊D5—41no—
475C2×C22⋊D5—41no—
476C2×C22⋊D5—41no—
477C2×C22⋊D5—41no—
478C2×C22⋊D5—41no—
479C2×C22⋊D5—41no—
480C2×C22⋊D5—41no—
481C2×C22⋊D5—41no—
482C2×C22⋊D5—41no—
483C2×C22⋊D5—41no—
484C2×C22⋊D5—41no—
485C2×C22⋊D5—41no—
486C2×C22⋊D5—416no—
487C22×Dic5—22no—
488C22×Dic5—22no—
489C22×Dic5—22no—
490C22×Dic5—22no—
491C22×Dic5—22no—
492C22×Dic5—22no—
493C22×Dic5—41no—
494C22×Dic5—41no—
495C22×Dic5—41no—
496C22×Dic5—41no—
497C22×Dic5—41no—
498C22×Dic5—41no—
499C22×Dic5C2411yescharacteristic
500C22×Dic5C2411yescharacteristic
501C22×Dic5C2411yescharacteristic
502C22×Dic5C2411yescharacteristic
503C22×Dic5C2411yescharacteristic
504C22×Dic5C2411yescharacteristic
505C22×Dic5C2411yescharacteristic
506C22×Dic5C2411yescharacteristic
507C22×Dic5C2411yescharacteristic
508C22×Dic5C2411yescharacteristic
509C22×Dic5C2411yescharacteristic
510C22×Dic5C2411yescharacteristic
511C22×Dic5C2411yescharacteristic
512C22×Dic5C2411yescharacteristic
513C2×C4×D5—22no—
514C2×C4×D5—22no—
515C2×C4×D5—22no—
516C2×C4×D5—22no—
517C2×C4×D5—41no—
518C2×C4×D5—41no—
519C2×C4×D5—41no—
520C2×C4×D5—41no—
521C2×C4×D5—41no—
522C2×C4×D5—41no—
523C2×C4×D5—41no—
524C2×C4×D5—41no—
525C2×C4×D5—416no—
526C2×Dic10—22no—
527C2×Dic10—41no—
528C2×Dic10—41no—
529C5×C4⋊C4—22no—
530C5×C4⋊C4—41no—
531C5×C4⋊C4—41no—
532C5×C4⋊C4—41no—
533C5×C22⋊C4—22no—
534C5×C22⋊C4—22no—
535C5×C22⋊C4—22no—
536C5×C22⋊C4—22no—
537C5×C22⋊C4—41no—
538C5×C22⋊C4—41no—
539C5×C22⋊C4—41no—
540C5×C22⋊C4—41no—
541C5×C22⋊C4—41no—
542C5×C22⋊C4—41no—
543C5×C22⋊C4—41no—
544C5×C22⋊C4—41no—
545C5×C22⋊C4—41no—
546C5×C22⋊C4—41no—
547C5×C22⋊C4—41no—
548C42×C5—41no—
549C22⋊Dic5—22no—
550C22⋊Dic5—22no—
551C22⋊Dic5—22no—
552C22⋊Dic5—22no—
553C22⋊Dic5—22no—
554C22⋊Dic5—22no—
555C22⋊Dic5—22no—
556C22⋊Dic5—22no—
557C22⋊Dic5—41no—
558C22⋊Dic5—41no—
559C22⋊Dic5—41no—
560C22⋊Dic5—41no—
561C22⋊Dic5—41no—
562C22⋊Dic5—41no—
563C22⋊Dic5—41no—
564C22⋊Dic5—41no—
565C22⋊Dic5—41no—
566C22⋊Dic5—41no—
567C22⋊Dic5—41no—
568C22⋊Dic5—41no—
569C22⋊Dic5—41no—
570C22⋊Dic5—41no—
571C22⋊Dic5—41no—
572C22⋊Dic5—41no—
573C22⋊Dic5—41no—
574C22⋊Dic5—41no—
575C22⋊Dic5—41no—
576#685—22no—
577#685—22no—
578#685—22no—
579#685—22no—
580#685—41no—
581#685—41no—
582#685—41no—
583#685—41no—
584#685—41no—
585#685—41no—
586#685—41no—
587#685—41no—
588#685—41no—
589#685—41no—
590#685—41no—
591#685—41no—
592C4⋊Dic5—22no—
593C4⋊Dic5—41no—
594C4⋊Dic5—41no—
595C4⋊Dic5—41no—
596#683—22no—
597#683—22no—
598#683—41no—
599#683—41no—
600#683—41no—
601#683—41no—
602#683—41no—
603#683—41no—
604#683—41no—
605#683—41no—
606#683—41no—
607#683—41no—
608#683—41no—
609#683—41no—
610C4×Dic5—41no—
611C4×Dic5—41no—
612C4×Dic5—41no—
613C4×Dic5—41no—
614C4×Dic5—41no—
615C23×D4—51no—
616C24×C4—51no—
617C2×#126—51no—
618C2×#124—51no—
619C2×#123—51no—
620C2×#123—51no—
621C2×#123—51no—
622C2×C22⋊Q8—51no—
623C2×C22⋊Q8—51no—
624C2×C22⋊Q8—51no—
625C2×#121—51no—
626C2×#121—51no—
627C2×#121C2×D511yescharacteristic
628C2×#121C2×D511yescharacteristic, complemented
629C2×#120—51no—
630C2×#120—51no—
631C2×#120C2×D511yescharacteristic
632C2×#120C2×D511yescharacteristic
633C2×C4×D4—51no—
634C2×C4×D4C2×D511yescharacteristic
635C22×C22⋊C4—51no—
636C22×C22⋊C4—51no—
637C22×C22⋊C4C2×D511yescharacteristic
638#401—51no—
639#400—51no—
640#400—51no—
641#400—51no—
642#400—51no—
643#400—51no—
644#400—51no—
645#399—51no—
646#398—51no—
647#398—51no—
648#397—51no—
649#397—51no—
650#397—51no—
651#397—51no—
652#397—51no—
653#397—51no—
654#397—51no—
655#397—51no—
656#397—51no—
657#396—51no—
658#396—51no—
659#396C2×D511yescharacteristic, complemented
660#394—51no—
661#394—51no—
662#394—51no—
663#394—51no—
664#394—51no—
665#394—51no—
666#394—51no—
667#394—51no—
668#394—51no—
669#394—51no—
670#394—51no—
671#394—51no—
672#394—51no—
673#394C2×D511yescharacteristic, complemented
674#394C2×D511yescharacteristic, complemented
675#393—51no—
676#393—51no—
677#392—51no—
678#392—51no—
679#392—51no—
680#392—51no—
681#392—51no—
682#392—51no—
683#392—51no—
684#392—51no—
685#392C2×D511yescharacteristic, complemented
686#391—51no—
687#390—51no—
688#390—51no—
689#390—51no—
690#390—51no—
691#390—51no—
692#390C2×D511yescharacteristic, complemented
693#389—51no—
694#388—51no—
695#388—51no—
696#388—51no—
697#388—51no—
698#388—51no—
699#388—51no—
700#388—51no—
701#388—51no—
702#388—51no—
703#388—51no—
704#388—51no—
705#388—51no—
706#388—51no—
707#388—51no—
708#388—51no—
709#388—51no—
710#388—51no—
711#388—51no—
712#388C2×D511yescharacteristic, complemented
713#387—51no—
714#387—51no—
715#387—51no—
716#387—51no—
717#387—51no—
718#386—51no—
719#386—51no—
720#386—51no—
721#386—51no—
722#386—51no—
723#386—51no—
724#386—51no—
725#386—51no—
726#386—51no—
727#386—51no—
728#386—51no—
729#386—51no—
730#386—51no—
731#386—51no—
732#386—51no—
733#386—51no—
734#386—51no—
735#386—51no—
736#386—51no—
737#386—51no—
738#386—51no—
739#386C2×D511yescharacteristic
740#386C2×D511yescharacteristic, complemented
741#385—51no—
742#385—51no—
743#385—51no—
744#385—51no—
745#385—51no—
746#385—51no—
747#385—51no—
748#385—51no—
749#385C2×D511yescharacteristic
750#383—51no—
751#382—51no—
752#381—51no—
753#381—51no—
754#381—51no—
755#380—51no—
756#380—51no—
757#380—51no—
758#380—51no—
759#380—51no—
760#380—51no—
761#380—51no—
762#379—51no—
763#379—51no—
764#379—51no—
765#379—51no—
766C4×C22⋊C4—51no—
767C4×C22⋊C4—51no—
768C2×#95—51no—
769C2×#95—51no—
770C23×C5—21no—
771C23×C5—21no—
772C23×C5—21no—
773C23×C5—21no—
774C23×C5—21no—
775C23×C5—21no—
776C23×C5—21no—
777C23×C5—21no—
778C23×C5—21no—
779C23×C5—21no—
780C23×C5—21no—
781C23×C5—21no—
782C23×C5—21no—
783C23×C5—21no—
784C23×C5—21no—
785C23×C5—21no—
786C23×C5—21no—
787C23×C5—21no—
788C23×C5—21no—
789C23×C5—21no—
790C23×C5—21no—
791C23×C5—21no—
792C23×C5—21no—
793C23×C5—21no—
794C23×C5—21no—
795C23×C5—21no—
796C23×C5—21no—
797C23×C5—21no—
798C23×C5—21no—
799C23×C5—21no—
800C23×C5—21no—
801C23×C5—21no—
802C23×C5—44no—
803C23×C5—44no—
804C23×C5—44no—
805C23×C5—82no—
806C23×C5—82no—
807C23×C5—82no—
808C23×C5—82no—
809C23×C5C2×#4112yes—
810C23×C5H(5,𝔽2)12yes—
811C23×C5H(5,𝔽2)12yes—
812C23×C5C2511yescharacteristic
813C22×D5—28no—
814C22×D5—21no—
815C22×D5—21no—
816C22×D5—21no—
817C22×D5—21no—
818C22×D5—21no—
819C22×D5—21no—
820C22×D5—21no—
821C22×D5—21no—
822C22×D5—21no—
823C22×D5—21no—
824C22×D5—21no—
825C22×D5—21no—
826C22×D5—44no—
827C22×D5—44no—
828C22×D5—44no—
829C22×D5—44no—
830C22×D5—44no—
831C22×D5—44no—
832C22×D5C2×#4112yes—
833C22×D5C2×#4112yes—
834C5×D4—44no—
835C5×D4—44no—
836C5×D4—82no—
837C5×D4—82no—
838C5×D4—82no—
839C5×D4—82no—
840C5×D4—82no—
841C2×C4×C5—21no—
842C2×C4×C5—21no—
843C2×C4×C5—21no—
844C2×C4×C5—21no—
845C2×C4×C5—21no—
846C2×C4×C5—21no—
847C2×C4×C5—21no—
848C2×C4×C5—21no—
849C2×C4×C5—21no—
850C2×C4×C5—21no—
851C2×C4×C5—21no—
852C2×C4×C5—21no—
853C2×C4×C5—21no—
854C2×C4×C5—21no—
855C2×C4×C5—21no—
856C2×C4×C5—21no—
857C2×C4×C5—21no—
858C2×C4×C5—21no—
859C2×C4×C5—21no—
860C2×C4×C5—21no—
861C2×C4×C5—21no—
862C2×C4×C5—21no—
863C2×C4×C5—21no—
864C2×C4×C5—21no—
865C2×C4×C5—21no—
866C2×C4×C5—21no—
867C2×C4×C5—21no—
868C2×C4×C5—21no—
869C2×C4×C5—21no—
870C2×C4×C5—44no—
871C2×C4×C5—82no—
872C2×C4×C5—82no—
873C2×C4×C5H(5,𝔽2)12yes—
874C22⋊D5—44no—
875C22⋊D5—44no—
876C22⋊D5—44no—
877C22⋊D5—44no—
878C22⋊D5—82no—
879C22⋊D5—82no—
880C22⋊D5—82no—
881C22⋊D5—82no—
882C2×Dic5—21no—
883C2×Dic5—21no—
884C2×Dic5—21no—
885C2×Dic5—21no—
886C2×Dic5—21no—
887C2×Dic5—21no—
888C2×Dic5—21no—
889C2×Dic5—21no—
890C2×Dic5—21no—
891C2×Dic5—21no—
892C2×Dic5—21no—
893C2×Dic5—21no—
894C2×Dic5—21no—
895C2×Dic5—21no—
896C2×Dic5—21no—
897C2×Dic5—21no—
898C2×Dic5—21no—
899C2×Dic5—21no—
900C2×Dic5—21no—
901C2×Dic5—21no—
902C2×Dic5—21no—
903C2×Dic5—21no—
904C2×Dic5—21no—
905C2×Dic5—21no—
906C2×Dic5—21no—
907C2×Dic5—21no—
908C2×Dic5—21no—
909C2×Dic5—21no—
910C2×Dic5—21no—
911C2×Dic5—21no—
912C2×Dic5—21no—
913C2×Dic5—21no—
914C2×Dic5—21no—
915C2×Dic5—21no—
916C2×Dic5—21no—
917C2×Dic5—21no—
918C2×Dic5—21no—
919C2×Dic5—21no—
920C2×Dic5—21no—
921C2×Dic5—21no—
922C2×Dic5—21no—
923C2×Dic5—44no—
924C2×Dic5—44no—
925C2×Dic5—82no—
926C2×Dic5—82no—
927C2×Dic5H(5,𝔽2)12yes—
928C4×D5—44no—
929C4×D5—44no—
930C4×D5—44no—
931C4×D5—44no—
932Dic10—82no—
933C25—51no—
934C25C22×D511yescharacteristic
935C22×Q8—51no—
936C22×D4—51no—
937C22×D4—51no—
938C22×D4—51no—
939C22×D4—51no—
940C22×D4—51no—
941C22×D4—51no—
942C22×D4—51no—
943C22×D4—51no—
944C22×D4—104no—
945C22×D4—202no—
946C22×D4—202no—
947C22×D4C22×D511yescharacteristic
948C22×D4C22×D511yescharacteristic
949C22×D4C22×D511yescharacteristic
950C22×D4C22×D511yescharacteristic
951C22×D4C22×D511yescharacteristic
952C22×D4C22×D511yescharacteristic
953C22×D4C22×D511yescharacteristic
954C23×C4—51no—
955C23×C4—51no—
956C23×C4—51no—
957C23×C4—51no—
958C23×C4—51no—
959C23×C4—51no—
960C23×C4—51no—
961C23×C4—51no—
962C23×C4—202no—
963C23×C4—202no—
964C23×C4—202no—
965C23×C4C22×D511yescharacteristic
966C23×C4C22×D511yescharacteristic
967C23×C4C22×D511yescharacteristic
968#126—202no—
969#124—202no—
970#123—202no—
971#123—202no—
972#123—202no—
973C22⋊Q8—202no—
974C22⋊Q8—202no—
975C22⋊Q8—202no—
976#121—42no—
977#121—42no—
978#121—202no—
979#121—202no—
980#120—42no—
981#120—42no—
982#120—104no—
983#120—104no—
984C4×D4—42no—
985C4×D4—202no—
986C2×C4⋊C4—51no—
987C2×C4⋊C4—51no—
988C2×C4⋊C4—51no—
989C2×C4⋊C4—51no—
990C2×C4⋊C4—51no—
991C2×C4⋊C4—51no—
992C2×C4⋊C4—51no—
993C2×C4⋊C4—51no—
994C2×C4⋊C4—51no—
995C2×C4⋊C4—51no—
996C2×C4⋊C4—51no—
997C2×C4⋊C4—51no—
998C2×C4⋊C4—51no—
999C2×C4⋊C4—51no—
1000C2×C4⋊C4—51no—
1001C2×C4⋊C4—51no—
1002C2×C4⋊C4—51no—
1003C2×C4⋊C4—51no—
1004C2×C4⋊C4C22×D511yescharacteristic
1005C2×C4⋊C4C22×D511yescharacteristic
1006C2×C4⋊C4C22×D511yescharacteristic
1007C2×C4⋊C4C22×D511yescharacteristic
1008C2×C22⋊C4—42no—
1009C2×C22⋊C4—51no—
1010C2×C22⋊C4—51no—
1011C2×C22⋊C4—51no—
1012C2×C22⋊C4—51no—
1013C2×C22⋊C4—51no—
1014C2×C22⋊C4—51no—
1015C2×C22⋊C4—51no—
1016C2×C22⋊C4—51no—
1017C2×C22⋊C4—51no—
1018C2×C22⋊C4—51no—
1019C2×C22⋊C4—51no—
1020C2×C22⋊C4—51no—
1021C2×C22⋊C4—51no—
1022C2×C22⋊C4—51no—
1023C2×C22⋊C4—51no—
1024C2×C22⋊C4—51no—
1025C2×C22⋊C4—51no—
1026C2×C22⋊C4—51no—
1027C2×C22⋊C4—51no—
1028C2×C22⋊C4—51no—
1029C2×C22⋊C4—51no—
1030C2×C22⋊C4—51no—
1031C2×C22⋊C4—51no—
1032C2×C22⋊C4—51no—
1033C2×C22⋊C4—51no—
1034C2×C22⋊C4—51no—
1035C2×C22⋊C4—51no—
1036C2×C22⋊C4—51no—
1037C2×C22⋊C4—51no—
1038C2×C22⋊C4—51no—
1039C2×C22⋊C4—51no—
1040C2×C22⋊C4—51no—
1041C2×C22⋊C4—51no—
1042C2×C22⋊C4—51no—
1043C2×C22⋊C4—51no—
1044C2×C22⋊C4—51no—
1045C2×C22⋊C4—51no—
1046C2×C22⋊C4—51no—
1047C2×C22⋊C4—51no—
1048C2×C22⋊C4—51no—
1049C2×C22⋊C4—51no—
1050C2×C22⋊C4—51no—
1051C2×C22⋊C4—51no—
1052C2×C22⋊C4—202no—
1053C2×C22⋊C4—202no—
1054C2×C22⋊C4C22×D511yescharacteristic
1055C2×C22⋊C4C22×D511yescharacteristic
1056C2×C22⋊C4C22×D511yescharacteristic
1057C2×C22⋊C4C22×D511yescharacteristic
1058C2×C22⋊C4C22×D511yescharacteristic
1059C2×C22⋊C4C22×D511yescharacteristic
1060C2×C22⋊C4C22×D511yescharacteristic
1061C2×C22⋊C4C22×D511yescharacteristic
1062C2×C22⋊C4C22×D511yescharacteristic
1063C2×C22⋊C4C22×D511yescharacteristic
1064C2×C22⋊C4C22×D511yescharacteristic
1065C2×C22⋊C4C22×D511yescharacteristic
1066C2×C22⋊C4C22×D511yescharacteristic
1067C2×C22⋊C4C22×D511yescharacteristic
1068C2×C22⋊C4C22×D511yescharacteristic
1069C2×C42—51no—
1070C2×C42—51no—
1071C2×C42—51no—
1072C2×C42—51no—
1073C2×C42—51no—
1074C2×C42C22×D511yescharacteristic
1075#95—51no—
1076#95—51no—
1077#95—51no—
1078#95—51no—
1079#95—51no—
1080#95—51no—
1081#95—51no—
1082#95—51no—
1083#95—51no—
1084#95—51no—
1085#95—51no—
1086#95—51no—
1087#95—51no—
1088#95—51no—
1089#95—51no—
1090#95—51no—
1091#95—51no—
1092#95—51no—
1093#95—51no—
1094#95—51no—
1095#95—51no—
1096#95—51no—
1097#95—51no—
1098#95—51no—
1099#95—51no—
1100#95—51no—
1101#95—51no—
1102#95—51no—
1103#95—51no—
1104#95—51no—
1105#95—51no—
1106#95—51no—
1107#95—51no—
1108#95—51no—
1109#95—51no—
1110#95—51no—
1111#95C22×D511yescharacteristic
1112#95C22×D511yescharacteristic
1113#95C22×D511yescharacteristic
1114#95C22×D511yescharacteristic
1115C22×C5—22no—
1116C22×C5—22no—
1117C22×C5—22no—
1118C22×C5—22no—
1119C22×C5—22no—
1120C22×C5—22no—
1121C22×C5—41no—
1122C22×C5—41no—
1123C22×C5—41no—
1124C22×C5—41no—
1125C22×C5—41no—
1126C22×C5—41no—
1127C22×C5—41no—
1128C22×C5—41no—
1129C22×C5—41no—
1130C22×C5—41no—
1131C22×C5—41no—
1132C22×C5—41no—
1133C22×C5—41no—
1134C22×C5—41no—
1135C22×C5—41no—
1136C22×C5—41no—
1137C22×C5—41no—
1138C22×C5—41no—
1139C22×C5—41no—
1140C22×C5—41no—
1141C22×C5—41no—
1142C22×C5—41no—
1143C22×C5—41no—
1144C22×C5—41no—
1145C22×C5—41no—
1146C22×C5—41no—
1147C22×C5—41no—
1148C22×C5—41no—
1149C22×C5—88no—
1150C22×C5#53814yes—
1151C22×C5C22×#4111yescharacteristic
1152C22×C5C2×H(5,𝔽2)11yescharacteristic
1153C22×C5C2×H(5,𝔽2)11yescharacteristic
1154C22×C5C2×H(5,𝔽2)11yescharacteristic
1155C22×C5C2×H(5,𝔽2)11yescharacteristic
1156C22×C5#58511yescharacteristic
1157C22×C5#58511yescharacteristic
1158C2×D5—22no—
1159C2×D5—22no—
1160C2×D5—22no—
1161C2×D5—22no—
1162C2×D5—22no—
1163C2×D5—22no—
1164C2×D5—416no—
1165C2×D5—41no—
1166C2×D5—41no—
1167C2×D5—41no—
1168C2×D5—41no—
1169C2×D5—41no—
1170C2×D5—41no—
1171C2×D5—41no—
1172C2×D5—41no—
1173C4×C5—22no—
1174C4×C5—41no—
1175C4×C5—41no—
1176C4×C5—41no—
1177C4×C5—41no—
1178C4×C5—41no—
1179C4×C5—41no—
1180C4×C5—41no—
1181C4×C5—41no—
1182C4×C5—41no—
1183Dic5—22no—
1184Dic5—41no—
1185Dic5—41no—
1186Dic5—41no—
1187Dic5—41no—
1188Dic5—41no—
1189Dic5—41no—
1190Dic5—41no—
1191Dic5—41no—
1192Dic5—41no—
1193Dic5—41no—
1194Dic5—41no—
1195Dic5—41no—
1196Dic5—41no—
1197C24—22no—
1198C24—22no—
1199C24—22no—
1200C24—41no—
1201C24—41no—
1202C24—41no—
1203C24—41no—
1204C24—51no—
1205C24—51no—
1206C24—54no—
1207C24—102no—
1208C24—102no—
1209C24—201no—
1210C24—201no—
1211C24—201no—
1212C24—201no—
1213C24C23×D511yescharacteristic
1214C24C23×D511yescharacteristic
1215C24C23×D511yescharacteristic
1216C24C23×D511yescharacteristic
1217C24C23×D511yescharacteristic
1218C2×Q8—102no—
1219C2×Q8—201no—
1220C2×Q8—201no—
1221C2×D4—22no—
1222C2×D4—22no—
1223C2×D4—22no—
1224C2×D4—22no—
1225C2×D4—22no—
1226C2×D4—22no—
1227C2×D4—22no—
1228C2×D4—41no—
1229C2×D4—41no—
1230C2×D4—41no—
1231C2×D4—41no—
1232C2×D4—41no—
1233C2×D4—41no—
1234C2×D4—41no—
1235C2×D4—41no—
1236C2×D4—41no—
1237C2×D4—41no—
1238C2×D4—41no—
1239C2×D4—41no—
1240C2×D4—41no—
1241C2×D4—41no—
1242C2×D4—102no—
1243C2×D4—102no—
1244C2×D4—102no—
1245C2×D4—102no—
1246C2×D4—102no—
1247C2×D4—102no—
1248C2×D4—102no—
1249C2×D4—102no—
1250C2×D4—201no—
1251C2×D4—201no—
1252C2×D4—201no—
1253C2×D4—201no—
1254C2×D4—201no—
1255C2×D4—201no—
1256C2×D4—201no—
1257C2×D4—201no—
1258C2×D4—201no—
1259C2×D4—201no—
1260C2×D4—201no—
1261C2×D4—201no—
1262C2×D4—201no—
1263C2×D4—201no—
1264C2×D4—201no—
1265C2×D4—201no—
1266C2×D4—2016no—
1267C22×C4—22no—
1268C22×C4—22no—
1269C22×C4—22no—
1270C22×C4—41no—
1271C22×C4—41no—
1272C22×C4—41no—
1273C22×C4—41no—
1274C22×C4—41no—
1275C22×C4—41no—
1276C22×C4—51no—
1277C22×C4—51no—
1278C22×C4—51no—
1279C22×C4—51no—
1280C22×C4—51no—
1281C22×C4—51no—
1282C22×C4—51no—
1283C22×C4—51no—
1284C22×C4—51no—
1285C22×C4—51no—
1286C22×C4—51no—
1287C22×C4—51no—
1288C22×C4—51no—
1289C22×C4—51no—
1290C22×C4—102no—
1291C22×C4—102no—
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—201no—
1301C22×C4—201no—
1302C22×C4—201no—
1303C22×C4—201no—
1304C22×C4—201no—
1305C22×C4—201no—
1306C22×C4—201no—
1307C22×C4—201no—
1308C22×C4—2016no—
1309C22×C4—201no—
1310C22×C4—201no—
1311C22×C4—201no—
1312C22×C4—201no—
1313C22×C4—201no—
1314C22×C4—201no—
1315C22×C4C23×D511yescharacteristic
1316C22×C4C23×D511yescharacteristic
1317C22×C4C23×D511yescharacteristic
1318C22×C4C23×D511yescharacteristic
1319C22×C4C23×D511yescharacteristic
1320C22×C4C23×D511yescharacteristic
1321C22×C4C23×D511yescharacteristic
1322C22×C4C23×D511yescharacteristic
1323C22×C4C23×D511yescharacteristic
1324C22×C4C23×D511yescharacteristic
1325C4⋊C4—22no—
1326C4⋊C4—41no—
1327C4⋊C4—41no—
1328C4⋊C4—41no—
1329C4⋊C4—102no—
1330C4⋊C4—102no—
1331C4⋊C4—102no—
1332C4⋊C4—201no—
1333C4⋊C4—201no—
1334C4⋊C4—201no—
1335C4⋊C4—201no—
1336C4⋊C4—201no—
1337C4⋊C4—201no—
1338C4⋊C4—201no—
1339C4⋊C4—201no—
1340C4⋊C4—201no—
1341C4⋊C4—201no—
1342C4⋊C4—201no—
1343C4⋊C4—201no—
1344C4⋊C4—201no—
1345C4⋊C4—201no—
1346C4⋊C4—201no—
1347C22⋊C4—22no—
1348C22⋊C4—22no—
1349C22⋊C4—22no—
1350C22⋊C4—22no—
1351C22⋊C4—41no—
1352C22⋊C4—41no—
1353C22⋊C4—41no—
1354C22⋊C4—41no—
1355C22⋊C4—41no—
1356C22⋊C4—41no—
1357C22⋊C4—41no—
1358C22⋊C4—41no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—41no—
1362C22⋊C4—102no—
1363C22⋊C4—102no—
1364C22⋊C4—102no—
1365C22⋊C4—102no—
1366C22⋊C4—102no—
1367C22⋊C4—102no—
1368C22⋊C4—102no—
1369C22⋊C4—102no—
1370C22⋊C4—102no—
1371C22⋊C4—102no—
1372C22⋊C4—102no—
1373C22⋊C4—102no—
1374C22⋊C4—201no—
1375C22⋊C4—201no—
1376C22⋊C4—201no—
1377C22⋊C4—201no—
1378C22⋊C4—201no—
1379C22⋊C4—201no—
1380C22⋊C4—201no—
1381C22⋊C4—201no—
1382C22⋊C4—201no—
1383C22⋊C4—201no—
1384C22⋊C4—201no—
1385C22⋊C4—201no—
1386C22⋊C4—201no—
1387C22⋊C4—201no—
1388C22⋊C4—201no—
1389C22⋊C4—201no—
1390C22⋊C4—201no—
1391C22⋊C4—201no—
1392C22⋊C4—201no—
1393C22⋊C4—201no—
1394C22⋊C4—201no—
1395C22⋊C4—201no—
1396C22⋊C4—201no—
1397C22⋊C4—201no—
1398C22⋊C4—201no—
1399C22⋊C4—201no—
1400C22⋊C4—201no—
1401C22⋊C4—201no—
1402C22⋊C4—201no—
1403C22⋊C4—201no—
1404C22⋊C4—201no—
1405C42—41no—
1406C42—201no—
1407C42—201no—
1408C42—201no—
1409C42—201no—
1410C42—201no—
1411C2×C5—24no—
1412C2×C5—81no—
1413C2×C5—81no—
1414C2×C5—81no—
1415C2×C5—81no—
1416C2×C5C2×#53811yescharacteristic
1417C2×C5#350511yescharacteristic
1418C2×C5#350511yescharacteristic
1419C2×C5#353211yescharacteristic
1420C2×C5#353311yescharacteristic
1421C2×C5#354211yescharacteristic
1422C2×C5#354211yescharacteristic
1423D5—42no—
1424D5—42no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—44no—
1458C23—44no—
1459C23—44no—
1460C23—52no—
1461C23—52no—
1462C23—82no—
1463C23—82no—
1464C23—82no—
1465C23—82no—
1466C23—108no—
1467C23—101no—
1468C23—101no—
1469C23—101no—
1470C23—101no—
1471C23—101no—
1472C23—101no—
1473C23—101no—
1474C23—101no—
1475C23—101no—
1476C23—101no—
1477C23—101no—
1478C23—101no—
1479C23—204no—
1480C23—204no—
1481C23—204no—
1482C23—204no—
1483C23—204no—
1484C23—204no—
1485C23#414412yes—
1486C23#414412yes—
1487C23D5×#4112yes—
1488C23C24×D511yescharacteristic
1489Q8—402no—
1490D4—44no—
1491D4—44no—
1492D4—82no—
1493D4—82no—
1494D4—82no—
1495D4—82no—
1496D4—82no—
1497D4—204no—
1498D4—204no—
1499D4—204no—
1500D4—204no—
1501D4—402no—
1502D4—402no—
1503D4—402no—
1504D4—402no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—44no—
1535C2×C4—52no—
1536C2×C4—82no—
1537C2×C4—82no—
1538C2×C4—101no—
1539C2×C4—101no—
1540C2×C4—101no—
1541C2×C4—101no—
1542C2×C4—101no—
1543C2×C4—101no—
1544C2×C4—101no—
1545C2×C4—101no—
1546C2×C4—101no—
1547C2×C4—101no—
1548C2×C4—101no—
1549C2×C4—101no—
1550C2×C4—101no—
1551C2×C4—101no—
1552C2×C4—101no—
1553C2×C4—101no—
1554C2×C4—101no—
1555C2×C4—101no—
1556C2×C4—101no—
1557C2×C4—101no—
1558C2×C4—101no—
1559C2×C4—101no—
1560C2×C4—101no—
1561C2×C4—101no—
1562C2×C4—101no—
1563C2×C4—101no—
1564C2×C4—101no—
1565C2×C4—101no—
1566C2×C4—101no—
1567C2×C4—101no—
1568C2×C4—101no—
1569C2×C4—101no—
1570C2×C4—101no—
1571C2×C4—101no—
1572C2×C4—101no—
1573C2×C4—101no—
1574C2×C4—101no—
1575C2×C4—101no—
1576C2×C4—101no—
1577C2×C4—101no—
1578C2×C4—101no—
1579C2×C4—204no—
1580C2×C4—204no—
1581C2×C4—204no—
1582C2×C4—204no—
1583C2×C4—204no—
1584C2×C4—204no—
1585C2×C4—402no—
1586C2×C4—402no—
1587C2×C4#414412yes—
1588C5#3675811yescharacteristic, complemented, Sylow
1589C22—22no—
1590C22—22no—
1591C22—22no—
1592C22—22no—
1593C22—22no—
1594C22—22no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—88no—
1624C22—102no—
1625C22—102no—
1626C22—102no—
1627C22—102no—
1628C22—102no—
1629C22—102no—
1630C22—2016no—
1631C22—201no—
1632C22—201no—
1633C22—201no—
1634C22—201no—
1635C22—201no—
1636C22—201no—
1637C22—201no—
1638C22—201no—
1639C22#6594714yes—
1640C22C2×#414411yescharacteristic
1641C22C2×#414411yescharacteristic
1642C22C2×#414411yescharacteristic
1643C22C2×D5×#4111yescharacteristic
1644C22#6628311yescharacteristic
1645C22D5×H(5,𝔽2)11yescharacteristic
1646C22#6628511yescharacteristic
1647C4—22no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—102no—
1658C4—201no—
1659C4—201no—
1660C4—201no—
1661C4—201no—
1662C4—201no—
1663C4—201no—
1664C4—201no—
1665C4—201no—
1666C4—201no—
1667C4—201no—
1668C4—201no—
1669C4—201no—
1670C4—201no—
1671C2—24no—
1672C2—81no—
1673C2—81no—
1674C2—81no—
1675C2—81no—
1676C2—202no—
1677C2—202no—
1678C2C2×#6594711yescharacteristic
1679C2#1061794511yescharacteristic
1680C2#1061831611yescharacteristic
1681C2#1061851611yescharacteristic
1682C2#1061852311yescharacteristic
1683C2#1061855111yescharacteristic
1684C2#1061856911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D5
commutator, socle, cosocleC23×C5C25
FittingC5×#2424C2
hypercenter#2424D5
hypocenterC5#36758
LCSG ▷ C23×C5 ▷ C5
UCSC1 ◁ C23 ◁ #2424

Complements

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

NH ≅ G/Ntype
1. C5×#2424C2semidirect
2. #10614454C2semidirect
3. #10614450C2semidirect
4. #10614419C2semidirect
5. #10614376C2semidirect
6. #10614338C2semidirect
7. #10614338C2semidirect
8. #10614320C2semidirect
9. #10614316C2semidirect
10. #10614126C2semidirect
11. #10614085C2semidirect
12. C2×#65245C2semidirect
13. #10613843C2semidirect
14. #10609171C2semidirect
15. #10609121C2semidirect
16. #10608795C2semidirect
17. #10608791C2semidirect
18. #10608789C2semidirect
19. #10608775C2semidirect
20. #10608461C2semidirect
21. #10608454C2semidirect
22. #10608202C2semidirect
23. #10608115C2semidirect
24. #10607681C2semidirect
25. #10607670C2semidirect
26. #10606661C2semidirect
27. #10606606C2semidirect
28. #10606586C2semidirect
29. #10606470C2semidirect
30. #10606386C2semidirect
31. #10606190C2semidirect
35. C2×C5×#121C22semidirect
41. C2×#4084C22semidirect
42. C2×#4084C22semidirect
45. C2×#4082C22semidirect
48. C2×#4081C22semidirect
51. C2×#4042C22semidirect
52. C2×#4042C22semidirect
53. C2×#4025C22semidirect
55. C5×#396C22semidirect
56. C5×#394C22semidirect
57. C5×#394C22semidirect
58. C5×#392C22semidirect
59. C5×#390C22semidirect
60. C5×#388C22semidirect
62. C5×#386C22semidirect
74. #65511C22semidirect
75. #65511C22semidirect
76. #65511C22semidirect
77. #65511C22semidirect
78. #65511C22semidirect
79. #65510C22semidirect
83. #65509C22semidirect
84. #65509C22semidirect
85. #65502C22semidirect
86. #65502C22semidirect
88. #65500C22semidirect
91. #65499C22semidirect
95. #65279C22semidirect
96. #65279C22semidirect
97. #65278C22semidirect
98. #65278C22semidirect
99. #65276C22semidirect
100. #65276C22semidirect
101. #65275C22semidirect
102. #65273C22semidirect
103. #65271C22semidirect
104. #65271C22semidirect
105. #65270C22semidirect
106. #65269C22semidirect
107. #65267C22semidirect
108. #65261C22semidirect
117. #65247C22semidirect
118. #65247C22semidirect
119. #65246C22semidirect
120. #65246C22semidirect
121. #65246C22semidirect
122. #65246C22semidirect
131. #65245C22semidirect
132. #65245C22semidirect
133. #65245C22semidirect
134. #65245C22semidirect
137. #65242C22semidirect
138. #65242C22semidirect
139. #65242C22semidirect
140. #65241C22semidirect
141. #65241C22semidirect
142. #65241C22semidirect
143. #65241C22semidirect
144. #65241C22semidirect
145. #65241C22semidirect
146. #65240C22semidirect
147. #65240C22semidirect
148. #65238C22semidirect
149. #65237C22semidirect
150. #65237C22semidirect
151. #65236C22semidirect
152. #65236C22semidirect
154. #65234C22semidirect
155. #65234C22semidirect
156. #65234C22semidirect
157. #65234C22semidirect
158. #65233C22semidirect
159. #65233C22semidirect
160. #65233C22semidirect
161. #65233C22semidirect
165. #65231C22semidirect
167. #65229C22semidirect
168. #65229C22semidirect
169. #65222C22semidirect
170. #65222C22semidirect
171. #64959C22semidirect
172. #64959C22semidirect
173. #64958C22semidirect
174. #64958C22semidirect
175. #64957C22semidirect
176. #64957C22semidirect
177. #64956C22semidirect
178. #64956C22semidirect
179. C5⋊#401C22semidirect
180. #64949C22semidirect
181. #64949C22semidirect
182. #64947C22semidirect
183. #64943C22semidirect
184. #64940C22semidirect
185. #64939C22semidirect
186. #64935C22semidirect
395. #2424D5semidirect
628. C2×#121C2×D5semidirect
659. #396C2×D5semidirect
673. #394C2×D5semidirect
674. #394C2×D5semidirect
685. #392C2×D5semidirect
692. #390C2×D5semidirect
712. #388C2×D5semidirect
740. #386C2×D5semidirect
1588. C5#36758semidirect

Maximal subgroups

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

subgroupindex
C5×#24242
#106144542
#106144502
#106144192
#106143762
#106143382
#106143202
#106143162
#106141262
#106140852
C2×#652452
#106138432
#106091712
#106091212
#106087952
#106087912
#106087892
#106087752
#106084612
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