Finite Group Databasebeta

← D59×#2510 #28757663

Subgroups — D59×#2510 #28757663

Order 15104.

2658 conjugacy classes of subgroups.

The subgroup lattice has 1610 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21428663C211yesmaximal, characteristic, complemented
2#21428662C211yesmaximal, characteristic, complemented
3#21428661C211yesmaximal, characteristic, complemented
4#21428660C211yesmaximal, characteristic, complemented
5#21428659C211yesmaximal, characteristic, complemented
6#21428658C211yesmaximal, characteristic, complemented
7#21428657C211yesmaximal, characteristic, complemented
8#21428656C211yesmaximal, characteristic, complemented
9#21428655C211yesmaximal, characteristic, complemented
10#21428654C211yesmaximal, characteristic, complemented
11#21428653C211yesmaximal, characteristic, complemented
12#21428652C211yesmaximal, characteristic, complemented
13#21428651C211yesmaximal, characteristic, complemented
14#21428650C211yesmaximal, characteristic, complemented
15#21428649C211yesmaximal, characteristic, complemented
16#401×D59C211yesmaximal, characteristic, complemented
17#400×D59C211yesmaximal, characteristic, complemented
18#397×D59C211yesmaximal, characteristic, complemented
19#397×D59C211yesmaximal, characteristic, complemented
20#388×D59C211yesmaximal, characteristic, complemented
21#388×D59C211yesmaximal, characteristic, complemented
22#387×D59C211yesmaximal, characteristic, complemented
23#386×D59C211yesmaximal, characteristic
24#386×D59C211yesmaximal, characteristic
25#386×D59C211yesmaximal, characteristic
26#385×D59C211yesmaximal, characteristic, complemented
27#383×D59C211yesmaximal, characteristic, complemented
28#380×D59C211yesmaximal, characteristic, complemented
29C4×C22⋊C4×D59C211yesmaximal, characteristic, complemented
30C2×#95×D59C211yesmaximal, characteristic, complemented
31C59×#2510C211yesmaximal, characteristic, complemented
32C22×D4×D59C2211yescharacteristic
33C23×C4×D59C2211yescharacteristic
34C23×C4×D59C2211yescharacteristic
35C23×C4×D59C2211yescharacteristic
36C2×C4⋊C4×D59C2211yescharacteristic
37C2×C4⋊C4×D59C2211yescharacteristic
38C2×C4⋊C4×D59C2211yescharacteristic
39C2×C4⋊C4×D59C2211yescharacteristic
40C2×C22⋊C4×D59C2211yescharacteristic
41C2×C22⋊C4×D59C2211yescharacteristic
42C2×C22⋊C4×D59C2211yescharacteristic
43C2×C22⋊C4×D59C2211yescharacteristic
44C2×C22⋊C4×D59C2211yescharacteristic
45C2×C22⋊C4×D59C2211yescharacteristic
46C2×C22⋊C4×D59C2211yescharacteristic
47C2×C22⋊C4×D59C2211yescharacteristic
48C2×C22⋊C4×D59C2211yescharacteristic
49C2×C42×D59C2211yescharacteristic
50C2×C42×D59C2211yescharacteristic
51C59⋊#401C2211yescharacteristic, complemented
52C59⋊#401C2211yescharacteristic, complemented
53C59⋊#401C2211yescharacteristic, complemented
54C59⋊#401C2211yescharacteristic, complemented
55C59⋊#401C2211yescharacteristic, complemented
56C59⋊#401C2211yescharacteristic, complemented
57C59⋊#401C2211yescharacteristic, complemented
58#16837344C2211yescharacteristic, complemented
59#16837344C2211yescharacteristic, complemented
60#16837343C2211yescharacteristic, complemented
61#16837343C2211yescharacteristic, complemented
62#16837342C2211yescharacteristic, complemented
63#16837341C2211yescharacteristic, complemented
64#16837340C2211yescharacteristic, complemented
65#16837331C2211yescharacteristic, complemented
66#16837331C2211yescharacteristic, complemented
67#16837331C2211yescharacteristic, complemented
68#16837331C2211yescharacteristic, complemented
69#16837330C2211yescharacteristic, complemented
70#16837330C2211yescharacteristic, complemented
71#16837330C2211yescharacteristic, complemented
72#16837330C2211yescharacteristic, complemented
73#16837329C2211yescharacteristic, complemented
74#16837329C2211yescharacteristic, complemented
75#16837328C2211yescharacteristic, complemented
76#16837328C2211yescharacteristic, complemented
77#16837327C2211yescharacteristic, complemented
78#16837327C2211yescharacteristic, complemented
79#16837296C2211yescharacteristic, complemented
80#16837296C2211yescharacteristic, complemented
81#16837295C2211yescharacteristic, complemented
82#16837295C2211yescharacteristic, complemented
83#16837294C2211yescharacteristic, complemented
84#16837294C2211yescharacteristic, complemented
85#16837293C2211yescharacteristic, complemented
86#16837293C2211yescharacteristic, complemented
87#16837292C2211yescharacteristic, complemented
88#16837292C2211yescharacteristic, complemented
89#16837291C2211yescharacteristic, complemented
90#16837291C2211yescharacteristic, complemented
91#16837290C2211yescharacteristic, complemented
92#16837290C2211yescharacteristic, complemented
93#16837289C2211yescharacteristic, complemented
94#16837288C2211yescharacteristic, complemented
95#16837287C2211yescharacteristic, complemented
96#16837286C2211yescharacteristic, complemented
97#16837285C2211yescharacteristic, complemented
98#16837284C2211yescharacteristic, complemented
99#16837283C2211yescharacteristic, complemented
100#16837282C2211yescharacteristic
101#16837282C2211yescharacteristic
102#16837282C2211yescharacteristic
103#16837281C2211yescharacteristic
104#16837281C2211yescharacteristic
105#16837281C2211yescharacteristic
106#16837280C2211yescharacteristic
107#16837280C2211yescharacteristic
108#16837280C2211yescharacteristic
109#16837280C2211yescharacteristic
110#16837280C2211yescharacteristic
111#16837280C2211yescharacteristic
112#16837279C2211yescharacteristic
113#16837279C2211yescharacteristic
114#16837279C2211yescharacteristic
115#16837278C2211yescharacteristic
116#16837278C2211yescharacteristic
117#16837278C2211yescharacteristic
118#16837278C2211yescharacteristic
119#16837278C2211yescharacteristic
120#16837278C2211yescharacteristic
121#16837277C2211yescharacteristic, complemented
122#16837276C2211yescharacteristic, complemented
123#16837276C2211yescharacteristic, complemented
124#16837275C2211yescharacteristic, complemented
125#16837274C2211yescharacteristic, complemented
126#16837273C2211yescharacteristic, complemented
127#16837273C2211yescharacteristic, complemented
128#16837270C2211yescharacteristic, complemented
129#16837269C2211yescharacteristic, complemented
130#16837269C2211yescharacteristic, complemented
131#16837269C2211yescharacteristic, complemented
132#16837269C2211yescharacteristic, complemented
133#16837269C2211yescharacteristic, complemented
134#16837269C2211yescharacteristic, complemented
135#16837262C2211yescharacteristic, complemented
136#16837261C2211yescharacteristic, complemented
137#16837261C2211yescharacteristic, complemented
138#16837260C2211yescharacteristic, complemented
139#16837260C2211yescharacteristic, complemented
140#16837259C2211yescharacteristic, complemented
141#16837259C2211yescharacteristic, complemented
142C22⋊C4×Dic59C2211yescharacteristic, complemented
143C22⋊C4×Dic59C2211yescharacteristic, complemented
144C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
145C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
146C4×C22⋊Dic59C2211yescharacteristic, complemented
147#16837249C2211yescharacteristic, complemented
148#16837249C2211yescharacteristic, complemented
149C2×C59⋊#95C2211yescharacteristic, complemented
150C2×C59⋊#95C2211yescharacteristic, complemented
151C2×C59⋊#95C2211yescharacteristic, complemented
152#95×D59C2211yescharacteristic
153#95×D59C2211yescharacteristic
154#95×D59C2211yescharacteristic
155#95×D59C2211yescharacteristic
156#95×D59C2211yescharacteristic
157#95×D59C2211yescharacteristic
158#95×D59C2211yescharacteristic
159#95×D59C2211yescharacteristic
160#95×D59C2211yescharacteristic
161#95×D59C2211yescharacteristic
162#95×D59C2211yescharacteristic
163#95×D59C2211yescharacteristic
164#95×D59C2211yescharacteristic
165#95×D59C2211yescharacteristic
166#95×D59C2211yescharacteristic
167#95×D59C2211yescharacteristic
168#95×D59C2211yescharacteristic, complemented
169#95×D59C2211yescharacteristic, complemented
170#95×D59C2211yescharacteristic, complemented
171#95×D59C2211yescharacteristic, complemented
172C59×#401C2211yescharacteristic, complemented
173C59×#400C2211yescharacteristic, complemented
174C59×#397C2211yescharacteristic, complemented
175C59×#397C2211yescharacteristic, complemented
176C59×#388C2211yescharacteristic, complemented
177C59×#388C2211yescharacteristic, complemented
178C59×#387C2211yescharacteristic, complemented
179C59×#386C2211yescharacteristic
180C59×#386C2211yescharacteristic
181C59×#386C2211yescharacteristic
182C59×#385C2211yescharacteristic, complemented
183C59×#383C2211yescharacteristic, complemented
184C59×#380C2211yescharacteristic, complemented
185C4×C22⋊C4×C59C2211yescharacteristic, complemented
186C2×#95×C59C2211yescharacteristic, complemented
187C24×D59C2311yescharacteristic
188C24×D59C2311yescharacteristic
189C22×D236C2311yescharacteristic
190C22×C22⋊D59C2311yescharacteristic
191C22×C22⋊D59C2311yescharacteristic
192C2×D4×D59—24no—
193C2×D4×D59—24no—
194C2×D4×D59—24no—
195C23×Dic59C2311yescharacteristic
196C23×Dic59C2311yescharacteristic
197C23×Dic59C2311yescharacteristic
198C22×C4×D59—24no—
199C22×C4×D59—24no—
200C22×C4×D59—24no—
201C22×C4×D59—24no—
202C22×C4×D59—24no—
203C22×C4×D59—42no—
204C22×C4×D59—42no—
205C22×C4×D59—42no—
206C22×C4×D59—42no—
207C22×C4×D59C2311yescharacteristic
208C22×C4×D59C2311yescharacteristic
209C22×C4×D59C2311yescharacteristic
210C22×C4×D59C2311yescharacteristic
211C22×C4×D59C2311yescharacteristic
212C22×C4×D59C2311yescharacteristic
213C22×C4×D59C2311yescharacteristic
214C22×C4×D59C2311yescharacteristic
215C22×C4×D59C2311yescharacteristic
216C22×C4×D59C2311yescharacteristic
217C22×C4×D59C2311yescharacteristic
218C22×C4×D59C2311yescharacteristic
219C22×C4×D59C2311yescharacteristic
220C22×C4×D59C2311yescharacteristic
221C22×C4×D59C2311yescharacteristic
222C22×C4×D59C2311yescharacteristic
223C22×C4×D59C2311yescharacteristic
224C22×C4×D59C2311yescharacteristic
225C22×C4×D59C2311yescharacteristic
226C2×C4⋊Dic59C2311yescharacteristic
227C2×C4⋊Dic59C2311yescharacteristic
228C2×C4⋊Dic59C2311yescharacteristic
229C2×C4⋊Dic59C2311yescharacteristic
230C2×Dic59⋊C4C2311yescharacteristic
231C2×Dic59⋊C4C2311yescharacteristic
232C2×Dic59⋊C4C2311yescharacteristic
233C2×Dic59⋊C4C2311yescharacteristic
234C2×Dic59⋊C4C2311yescharacteristic
235C2×Dic59⋊C4C2311yescharacteristic
236C2×Dic59⋊C4C2311yescharacteristic
237C2×Dic59⋊C4C2311yescharacteristic
238C4⋊C4×D59—24no—
239C4⋊C4×D59—42no—
240C4⋊C4×D59—42no—
241C4⋊C4×D59—42no—
242C2×C22⋊Dic59C2311yescharacteristic
243C2×C22⋊Dic59C2311yescharacteristic
244C2×C22⋊Dic59C2311yescharacteristic
245C2×C22⋊Dic59C2311yescharacteristic
246C2×C22⋊Dic59C2311yescharacteristic
247C2×C22⋊Dic59C2311yescharacteristic
248C2×C22⋊Dic59C2311yescharacteristic
249C2×C22⋊Dic59C2311yescharacteristic
250C2×C22⋊Dic59C2311yescharacteristic
251C2×(C2×D59)⋊C4C2311yescharacteristic
252C2×(C2×D59)⋊C4C2311yescharacteristic
253C2×(C2×D59)⋊C4C2311yescharacteristic
254C2×(C2×D59)⋊C4C2311yescharacteristic
255C2×(C2×D59)⋊C4C2311yescharacteristic
256C2×(C2×D59)⋊C4C2311yescharacteristic
257C2×(C2×D59)⋊C4C2311yescharacteristic
258C2×(C2×D59)⋊C4C2311yescharacteristic
259C2×(C2×D59)⋊C4C2311yescharacteristic
260C2×(C2×D59)⋊C4C2311yescharacteristic
261C2×(C2×D59)⋊C4C2311yescharacteristic
262C2×(C2×D59)⋊C4C2311yescharacteristic
263C2×(C2×D59)⋊C4C2311yescharacteristic
264C2×(C2×D59)⋊C4C2311yescharacteristic
265C2×(C2×D59)⋊C4C2311yescharacteristic
266C2×(C2×D59)⋊C4C2311yescharacteristic
267C2×(C2×D59)⋊C4C2311yescharacteristic
268C2×(C2×D59)⋊C4C2311yescharacteristic
269C22⋊C4×D59—24no—
270C22⋊C4×D59—24no—
271C22⋊C4×D59—24no—
272C22⋊C4×D59—24no—
273C22⋊C4×D59—24no—
274C22⋊C4×D59—42no—
275C22⋊C4×D59—42no—
276C22⋊C4×D59—42no—
277C22⋊C4×D59—42no—
278C2×C4×Dic59C2311yescharacteristic
279C2×C4×Dic59C2311yescharacteristic
280C2×C4×Dic59C2311yescharacteristic
281C2×C4×Dic59C2311yescharacteristic
282C2×C4×Dic59C2311yescharacteristic
283C2×C4×Dic59C2311yescharacteristic
284C42×D59—24no—
285C42×D59—42no—
286C59⋊#95C2311yescharacteristic
287C59⋊#95C2311yescharacteristic
288C59⋊#95C2311yescharacteristic
289C59⋊#95C2311yescharacteristic
290C59⋊#95C2311yescharacteristic
291C59⋊#95C2311yescharacteristic
292C59⋊#95C2311yescharacteristic
293C59⋊#95C2311yescharacteristic
294C59⋊#95C2311yescharacteristic
295C59⋊#95C2311yescharacteristic
296C59⋊#95C2311yescharacteristic
297C59⋊#95C2311yescharacteristic
298C59⋊#95C2311yescharacteristic
299C59⋊#95C2311yescharacteristic
300C59⋊#95C2311yescharacteristic
301C59⋊#95C2311yescharacteristic
302C59⋊#95C2311yescharacteristic
303C59⋊#95C2311yescharacteristic
304C59⋊#95C2311yescharacteristic
305C59⋊#95C2311yescharacteristic
306C59⋊#95C2311yescharacteristic
307C59⋊#95C2311yescharacteristic
308C59⋊#95C2311yescharacteristic
309C59⋊#95C2311yescharacteristic
310C59⋊#95C2311yescharacteristic
311C59⋊#95C2311yescharacteristic
312C59⋊#95C2311yescharacteristic
313C59⋊#95C2311yescharacteristic
314C59⋊#95C2311yescharacteristic
315C59⋊#95C2311yescharacteristic
316C59⋊#95C2311yescharacteristic
317C59⋊#95C2311yescharacteristic
318C59⋊#95C2311yescharacteristic
319C59⋊#95C2311yescharacteristic
320C59⋊#95C2311yescharacteristic
321C59⋊#95C2311yescharacteristic
322C59⋊#95C2311yescharacteristic
323C59⋊#95C2311yescharacteristic
324C59⋊#95C2311yescharacteristic
325C59⋊#95C2311yescharacteristic
326C59⋊#95C2311yescharacteristic
327C59⋊#95C2311yescharacteristic
328C59⋊#95C2311yescharacteristic
329C59⋊#95C2311yescharacteristic
330C59⋊#95C2311yescharacteristic
331C59⋊#95C2311yescharacteristic
332C59⋊#95C2311yescharacteristic
333C59⋊#95C2311yescharacteristic
334C22×D4×C59C2311yescharacteristic
335C23×C4×C59C2311yescharacteristic
336C23×C4×C59C2311yescharacteristic
337C23×C4×C59C2311yescharacteristic
338C2×C4⋊C4×C59C2311yescharacteristic
339C2×C4⋊C4×C59C2311yescharacteristic
340C2×C4⋊C4×C59C2311yescharacteristic
341C2×C4⋊C4×C59C2311yescharacteristic
342C2×C22⋊C4×C59C2311yescharacteristic
343C2×C22⋊C4×C59C2311yescharacteristic
344C2×C22⋊C4×C59C2311yescharacteristic
345C2×C22⋊C4×C59C2311yescharacteristic
346C2×C22⋊C4×C59C2311yescharacteristic
347C2×C22⋊C4×C59C2311yescharacteristic
348C2×C22⋊C4×C59C2311yescharacteristic
349C2×C22⋊C4×C59C2311yescharacteristic
350C2×C22⋊C4×C59C2311yescharacteristic
351C2×C42×C59C2311yescharacteristic
352C2×C42×C59C2311yescharacteristic
353#95×C59C2311yescharacteristic
354#95×C59C2311yescharacteristic
355#95×C59C2311yescharacteristic
356#95×C59C2311yescharacteristic
357#95×C59C2311yescharacteristic
358#95×C59C2311yescharacteristic
359#95×C59C2311yescharacteristic
360#95×C59C2311yescharacteristic
361#95×C59C2311yescharacteristic
362#95×C59C2311yescharacteristic
363#95×C59C2311yescharacteristic
364#95×C59C2311yescharacteristic
365#95×C59C2311yescharacteristic
366#95×C59C2311yescharacteristic
367#95×C59C2311yescharacteristic
368#95×C59C2311yescharacteristic
369C24×C59C2411yescharacteristic
370C24×C59C2411yescharacteristic
371C23×D59—22no—
372C23×D59—22no—
373C23×D59—22no—
374C23×D59—22no—
375C23×D59—22no—
376C23×D59—22no—
377C23×D59—22no—
378C23×D59—22no—
379C23×D59—22no—
380C23×D59—22no—
381C23×D59—22no—
382C23×D59#4114yes—
383C23×D59#4114yes—
384C23×D59#4114yes—
385C23×D59C2411yescharacteristic
386C23×D59C2411yescharacteristic
387C23×D59C2411yescharacteristic
388C2×D4×C59—22no—
389C2×D4×C59—22no—
390C2×D4×C59—22no—
391C22×C4×C59—22no—
392C22×C4×C59—22no—
393C22×C4×C59—22no—
394C22×C4×C59—22no—
395C22×C4×C59—22no—
396C22×C4×C59—41no—
397C22×C4×C59—41no—
398C22×C4×C59—41no—
399C22×C4×C59—41no—
400C22×C4×C59C2411yescharacteristic
401C22×C4×C59C2411yescharacteristic
402C22×C4×C59C2411yescharacteristic
403C22×C4×C59C2411yescharacteristic
404C22×C4×C59C2411yescharacteristic
405C22×C4×C59C2411yescharacteristic
406C22×C4×C59C2411yescharacteristic
407C22×C4×C59C2411yescharacteristic
408C22×C4×C59C2411yescharacteristic
409C22×C4×C59C2411yescharacteristic
410C22×C4×C59C2411yescharacteristic
411C22×C4×C59C2411yescharacteristic
412C22×C4×C59C2411yescharacteristic
413C2×C22⋊D59—22no—
414C2×C22⋊D59—22no—
415C2×C22⋊D59—22no—
416C2×C22⋊D59—22no—
417C2×C22⋊D59—22no—
418C2×C22⋊D59—22no—
419C22×Dic59—22no—
420C22×Dic59—22no—
421C22×Dic59—22no—
422C22×Dic59—22no—
423C22×Dic59—22no—
424C22×Dic59—41no—
425C22×Dic59—41no—
426C22×Dic59—41no—
427C22×Dic59—41no—
428C22×Dic59C2411yescharacteristic
429C22×Dic59C2411yescharacteristic
430C22×Dic59C2411yescharacteristic
431C22×Dic59C2411yescharacteristic
432C22×Dic59C2411yescharacteristic
433C22×Dic59C2411yescharacteristic
434C22×Dic59C2411yescharacteristic
435C22×Dic59C2411yescharacteristic
436C22×Dic59C2411yescharacteristic
437C22×Dic59C2411yescharacteristic
438C22×Dic59C2411yescharacteristic
439C22×Dic59C2411yescharacteristic
440C22×Dic59C2411yescharacteristic
441D4×D59—416no—
442C2×D236—22no—
443C2×D236—22no—
444C2×D236—22no—
445C2×C4×D59—22no—
446C2×C4×D59—22no—
447C2×C4×D59—22no—
448C2×C4×D59—22no—
449C2×C4×D59—22no—
450C2×C4×D59—22no—
451C2×C4×D59—22no—
452C2×C4×D59—22no—
453C2×C4×D59—22no—
454C2×C4×D59—22no—
455C2×C4×D59—22no—
456C2×C4×D59—22no—
457C2×C4×D59—22no—
458C2×C4×D59—22no—
459C2×C4×D59—22no—
460C2×C4×D59—22no—
461C2×C4×D59—22no—
462C2×C4×D59—22no—
463C2×C4×D59—22no—
464C2×C4×D59—22no—
465C2×C4×D59—22no—
466C2×C4×D59—22no—
467C2×C4×D59—22no—
468C2×C4×D59—22no—
469C2×C4×D59—22no—
470C2×C4×D59—22no—
471C2×C4×D59—22no—
472C2×C4×D59—22no—
473C2×C4×D59—22no—
474C2×C4×D59—22no—
475C2×C4×D59—22no—
476C2×C4×D59—22no—
477C2×C4×D59—22no—
478C2×C4×D59—22no—
479C2×C4×D59—22no—
480C2×C4×D59—22no—
481C2×C4×D59—22no—
482C2×C4×D59—22no—
483C2×C4×D59—22no—
484C2×C4×D59—22no—
485C2×C4×D59—22no—
486C2×C4×D59—22no—
487C2×C4×D59—22no—
488C2×C4×D59—22no—
489C2×C4×D59—22no—
490C2×C4×D59—22no—
491C2×C4×D59—22no—
492C2×C4×D59—416no—
493C2×C4×D59—416no—
494C2×C4×D59—41no—
495C2×C4×D59—41no—
496C2×C4×D59—41no—
497C2×C4×D59—41no—
498C2×C4×D59—41no—
499C2×C4×D59—41no—
500C2×C4×D59—41no—
501C2×C4×D59—41no—
502C2×C4×D59—416no—
503C2×C4×D59#4114yes—
504C2×C4×D59#4114yes—
505C4⋊C4×C59—22no—
506C4⋊C4×C59—41no—
507C4⋊C4×C59—41no—
508C4⋊C4×C59—41no—
509C22⋊C4×C59—22no—
510C22⋊C4×C59—22no—
511C22⋊C4×C59—22no—
512C22⋊C4×C59—22no—
513C22⋊C4×C59—22no—
514C22⋊C4×C59—41no—
515C22⋊C4×C59—41no—
516C22⋊C4×C59—41no—
517C22⋊C4×C59—41no—
518C42×C59—22no—
519C42×C59—41no—
520C22⋊Dic59—22no—
521C22⋊Dic59—22no—
522C22⋊Dic59—22no—
523C22⋊Dic59—22no—
524C22⋊Dic59—22no—
525C22⋊Dic59—41no—
526C22⋊Dic59—41no—
527C22⋊Dic59—41no—
528C22⋊Dic59—41no—
529(C2×D59)⋊C4—22no—
530(C2×D59)⋊C4—22no—
531(C2×D59)⋊C4—22no—
532(C2×D59)⋊C4—22no—
533(C2×D59)⋊C4—22no—
534(C2×D59)⋊C4—22no—
535(C2×D59)⋊C4—22no—
536(C2×D59)⋊C4—22no—
537(C2×D59)⋊C4—22no—
538(C2×D59)⋊C4—22no—
539(C2×D59)⋊C4—41no—
540(C2×D59)⋊C4—41no—
541(C2×D59)⋊C4—41no—
542(C2×D59)⋊C4—41no—
543(C2×D59)⋊C4—41no—
544(C2×D59)⋊C4—41no—
545(C2×D59)⋊C4—41no—
546(C2×D59)⋊C4—41no—
547C4⋊Dic59—22no—
548C4⋊Dic59—41no—
549C4⋊Dic59—41no—
550C4⋊Dic59—41no—
551Dic59⋊C4—22no—
552Dic59⋊C4—22no—
553Dic59⋊C4—41no—
554Dic59⋊C4—41no—
555Dic59⋊C4—41no—
556Dic59⋊C4—41no—
557Dic59⋊C4—41no—
558Dic59⋊C4—41no—
559C4×Dic59—22no—
560C4×Dic59—22no—
561C4×Dic59—22no—
562C4×Dic59—41no—
563C4×Dic59—41no—
564C4×Dic59—41no—
565C23×C59—21no—
566C23×C59—21no—
567C23×C59—21no—
568C23×C59—21no—
569C23×C59—21no—
570C23×C59—21no—
571C23×C59—21no—
572C23×C59—21no—
573C23×C59—21no—
574C23×C59—21no—
575C23×C59—21no—
576C23×C59C2×#4112yes—
577C23×C59C2×#4112yes—
578C23×C59C2×#4112yes—
579C23×C59C2511yescharacteristic
580C22×D59—21no—
581C22×D59—21no—
582C22×D59—21no—
583C22×D59—21no—
584C22×D59—28no—
585C22×D59—28no—
586C22×D59—28no—
587C22×D59—28no—
588C22×D59—28no—
589C22×D59—28no—
590C22×D59—21no—
591C22×D59—21no—
592C22×D59—21no—
593C22×D59—21no—
594C22×D59—21no—
595C22×D59—21no—
596C22×D59—21no—
597C22×D59—44no—
598C22×D59—44no—
599C22×D59—44no—
600C22×D59—44no—
601C22×D59—44no—
602C22×D59—44no—
603C22×D59—44no—
604C22×D59#126116yes—
605C22×D59C2×#4112yes—
606C22×D59C2×#4112yes—
607C22×D59C2×#4112yes—
608C22×D59C2×#4112yes—
609C22×D59C2×#4112yes—
610C22×D59C2×#4112yes—
611C22×D59C2×#4112yes—
612C22×D59C2×#4112yes—
613C22×D59H(5,𝔽2)12yes—
614C22×D59H(5,𝔽2)12yes—
615D4×C59—44no—
616C2×C4×C59—21no—
617C2×C4×C59—21no—
618C2×C4×C59—21no—
619C2×C4×C59—21no—
620C2×C4×C59—21no—
621C2×C4×C59—21no—
622C2×C4×C59—21no—
623C2×C4×C59—21no—
624C2×C4×C59—21no—
625C2×C4×C59—21no—
626C2×C4×C59—21no—
627C2×C4×C59—21no—
628C2×C4×C59—21no—
629C2×C4×C59—21no—
630C2×C4×C59—21no—
631C2×C4×C59—21no—
632C2×C4×C59—21no—
633C2×C4×C59—21no—
634C2×C4×C59—21no—
635C2×C4×C59—21no—
636C2×C4×C59—21no—
637C2×C4×C59—21no—
638C2×C4×C59—21no—
639C2×C4×C59—21no—
640C2×C4×C59—21no—
641C2×C4×C59—21no—
642C2×C4×C59—21no—
643C2×C4×C59—21no—
644C2×C4×C59—21no—
645C2×C4×C59—21no—
646C2×C4×C59—21no—
647C2×C4×C59—21no—
648C2×C4×C59—21no—
649C2×C4×C59—21no—
650C2×C4×C59—21no—
651C2×C4×C59—21no—
652C2×C4×C59—21no—
653C2×C4×C59—44no—
654C2×C4×C59—44no—
655C2×C4×C59—44no—
656C2×C4×C59C2×#4112yes—
657C2×C4×C59C2×#4112yes—
658C22⋊D59—44no—
659C22⋊D59—44no—
660C2×Dic59—21no—
661C2×Dic59—21no—
662C2×Dic59—21no—
663C2×Dic59—21no—
664C2×Dic59—21no—
665C2×Dic59—21no—
666C2×Dic59—21no—
667C2×Dic59—21no—
668C2×Dic59—21no—
669C2×Dic59—21no—
670C2×Dic59—21no—
671C2×Dic59—21no—
672C2×Dic59—21no—
673C2×Dic59—21no—
674C2×Dic59—21no—
675C2×Dic59—21no—
676C2×Dic59—21no—
677C2×Dic59—21no—
678C2×Dic59—21no—
679C2×Dic59—21no—
680C2×Dic59—21no—
681C2×Dic59—21no—
682C2×Dic59—21no—
683C2×Dic59—21no—
684C2×Dic59—21no—
685C2×Dic59—21no—
686C2×Dic59—21no—
687C2×Dic59—21no—
688C2×Dic59—21no—
689C2×Dic59—21no—
690C2×Dic59—21no—
691C2×Dic59—21no—
692C2×Dic59—21no—
693C2×Dic59—21no—
694C2×Dic59—21no—
695C2×Dic59—21no—
696C2×Dic59—21no—
697C2×Dic59—44no—
698C2×Dic59—44no—
699C2×Dic59—44no—
700C2×Dic59C2×#4112yes—
701C2×Dic59C2×#4112yes—
702D236—44no—
703C4×D59—28no—
704C4×D59—28no—
705C4×D59—44no—
706C4×D59—44no—
707C4×D59—44no—
708C4×D59—44no—
709C4×D59—44no—
710C4×D59—44no—
711C4×D59—44no—
712C4×D59—44no—
713C4×D59—44no—
714C4×D59—44no—
715C4×D59—44no—
716C4×D59—44no—
717C4×D59—44no—
718C4×D59—44no—
719C4×D59—44no—
720C4×D59—44no—
721C4×D59—44no—
722C2×#2510—591nomaximal, Sylow
723C22×C59—22no—
724C22×C59—22no—
725C22×C59—22no—
726C22×C59—22no—
727C22×C59—22no—
728C22×C59—22no—
729C22×C59—41no—
730C22×C59—41no—
731C22×C59—41no—
732C22×C59—41no—
733C22×C59—41no—
734C22×C59—41no—
735C22×C59—41no—
736C22×C59C2×#12614yes—
737C22×C59C22×#4111yescharacteristic
738C22×C59C22×#4111yescharacteristic
739C22×C59C22×#4111yescharacteristic
740C22×C59C22×#4111yescharacteristic
741C22×C59C22×#4111yescharacteristic
742C22×C59C2×H(5,𝔽2)11yescharacteristic
743C22×C59C2×H(5,𝔽2)11yescharacteristic
744C2×D59—22no—
745C2×D59—22no—
746C2×D59—22no—
747C2×D59—22no—
748C2×D59—22no—
749C2×D59—22no—
750C2×D59—232no—
751C2×D59—41no—
752C2×D59—41no—
753C2×D59—41no—
754C2×D59—41no—
755C2×D59—41no—
756C2×D59—41no—
757C2×D59—41no—
758C2×D59—88no—
759C2×D59C2×#12614yes—
760C2×D59C2×#12614yes—
761C2×D59#52914yes—
762C2×D59#53814yes—
763C2×D59#55114yes—
764C2×D59#55114yes—
765C2×D59#55314yes—
766C2×D59#55314yes—
767C4×C59—22no—
768C4×C59—22no—
769C4×C59—41no—
770C4×C59—41no—
771C4×C59—41no—
772C4×C59—41no—
773C4×C59—41no—
774C4×C59—41no—
775C4×C59—41no—
776C4×C59—41no—
777C4×C59—41no—
778C4×C59—41no—
779C4×C59—41no—
780Dic59—22no—
781Dic59—22no—
782Dic59—41no—
783Dic59—41no—
784Dic59—41no—
785Dic59—41no—
786Dic59—41no—
787Dic59—41no—
788Dic59—41no—
789Dic59—41no—
790Dic59—41no—
791Dic59—41no—
792Dic59—41no—
793#2510—591no—
794#2510—591no—
795#2510—591no—
796#2510—591no—
797#2510—591no—
798#2510—591no—
799#2510—591no—
800#2510—591no—
801#2510—591no—
802#2510—591no—
803#2510—591no—
804#2510—591no—
805#2510—591no—
806#2510—591no—
807#2510—591no—
808#2510D5911yescharacteristic, direct product factor
809C2×#401—591no—
810C2×#400—591no—
811C2×#397—591no—
812C2×#397—591no—
813C2×#388—591no—
814C2×#388—591no—
815C2×#387—591no—
816C2×#386—591no—
817C2×#386—591no—
818C2×#386—591no—
819C2×#385—591no—
820C2×#383—591no—
821C2×#380—591no—
822C2×C4×C22⋊C4—591no—
823C22×#95—591no—
824C2×C59—24no—
825C2×C59—81no—
826C2×C59C22×#12611yescharacteristic
827C2×C59C2×#52911yescharacteristic
828C2×C59C2×#53811yescharacteristic
829C2×C59C2×#55111yescharacteristic
830C2×C59C2×#55111yescharacteristic
831C2×C59C2×#55311yescharacteristic
832C2×C59C2×#55311yescharacteristic
833D59—24no—
834D59—81no—
835D59#251018yesdirect product factor
836C23×D4—591no—
837C24×C4—591no—
838C24×C4—591no—
839C24×C4—591no—
840C22×C4⋊C4—591no—
841C22×C4⋊C4—591no—
842C22×C4⋊C4—591no—
843C22×C4⋊C4—591no—
844C22×C22⋊C4—591no—
845C22×C22⋊C4—591no—
846C22×C22⋊C4—591no—
847C22×C22⋊C4—591no—
848C22×C22⋊C4—591no—
849C22×C22⋊C4—591no—
850C22×C22⋊C4—591no—
851C22×C22⋊C4—591no—
852C22×C22⋊C4—591no—
853C22×C42—591no—
854C22×C42—591no—
855#401—591no—
856#401—591no—
857#401—591no—
858#401—591no—
859#401—591no—
860#401—591no—
861#401—591no—
862#401C2×D5911yescharacteristic, complemented
863#400—591no—
864#400—591no—
865#400—591no—
866#400—591no—
867#400—591no—
868#400—591no—
869#400—591no—
870#400C2×D5911yescharacteristic, complemented
871#397—591no—
872#397—591no—
873#397—591no—
874#397—591no—
875#397—591no—
876#397—591no—
877#397—591no—
878#397—591no—
879#397—591no—
880#397—591no—
881#397—591no—
882#397—591no—
883#397—591no—
884#397—591no—
885#397C2×D5911yescharacteristic, complemented
886#397C2×D5911yescharacteristic, complemented
887#388—591no—
888#388—591no—
889#388—591no—
890#388—591no—
891#388—591no—
892#388—591no—
893#388—591no—
894#388—591no—
895#388—591no—
896#388—591no—
897#388—591no—
898#388—591no—
899#388—591no—
900#388—591no—
901#388C2×D5911yescharacteristic, complemented
902#388C2×D5911yescharacteristic, complemented
903#387—591no—
904#387—591no—
905#387—591no—
906#387—591no—
907#387—591no—
908#387—591no—
909#387—591no—
910#387C2×D5911yescharacteristic, complemented
911#386—591no—
912#386—591no—
913#386—591no—
914#386—591no—
915#386—591no—
916#386—591no—
917#386—591no—
918#386—591no—
919#386—591no—
920#386—591no—
921#386—591no—
922#386—591no—
923#386—591no—
924#386—591no—
925#386—591no—
926#386—591no—
927#386—591no—
928#386—591no—
929#386—591no—
930#386—591no—
931#386—591no—
932#386C2×D5911yescharacteristic
933#386C2×D5911yescharacteristic
934#386C2×D5911yescharacteristic
935#385—591no—
936#385—591no—
937#385—591no—
938#385—591no—
939#385—591no—
940#385—591no—
941#385—591no—
942#385C2×D5911yescharacteristic, complemented
943#383—591no—
944#383—591no—
945#383—591no—
946#383—591no—
947#383—591no—
948#383—591no—
949#383—591no—
950#383C2×D5911yescharacteristic, complemented
951#380—591no—
952#380—591no—
953#380—591no—
954#380—591no—
955#380—591no—
956#380—591no—
957#380—591no—
958#380C2×D5911yescharacteristic, complemented
959C4×C22⋊C4—591no—
960C4×C22⋊C4—591no—
961C4×C22⋊C4—591no—
962C4×C22⋊C4—591no—
963C4×C22⋊C4—591no—
964C4×C22⋊C4—591no—
965C4×C22⋊C4—591no—
966C4×C22⋊C4C2×D5911yescharacteristic, complemented
967C2×#95—591no—
968C2×#95—591no—
969C2×#95—591no—
970C2×#95—591no—
971C2×#95—591no—
972C2×#95—591no—
973C2×#95—591no—
974C2×#95—591no—
975C2×#95—591no—
976C2×#95—591no—
977C2×#95—591no—
978C2×#95—591no—
979C2×#95—591no—
980C2×#95—591no—
981C2×#95—591no—
982C2×#95—591no—
983C2×#95—591no—
984C2×#95—591no—
985C2×#95—591no—
986C2×#95—591no—
987C2×#95—591no—
988C2×#95—591no—
989C2×#95—591no—
990C2×#95C2×D5911yescharacteristic, complemented
991C59C2×#251011yescharacteristic, complemented, Sylow
992C25—591no—
993C25—591no—
994C22×D4—591no—
995C22×D4—591no—
996C22×D4—591no—
997C22×D4—1184no—
998C22×D4—1184no—
999C22×D4—1184no—
1000C22×D4C22×D5911yescharacteristic
1001C23×C4—591no—
1002C23×C4—591no—
1003C23×C4—591no—
1004C23×C4—591no—
1005C23×C4—591no—
1006C23×C4—591no—
1007C23×C4—591no—
1008C23×C4—591no—
1009C23×C4—591no—
1010C23×C4—591no—
1011C23×C4—591no—
1012C23×C4—591no—
1013C23×C4—591no—
1014C23×C4—591no—
1015C23×C4—591no—
1016C23×C4—591no—
1017C23×C4—591no—
1018C23×C4—591no—
1019C23×C4—591no—
1020C23×C4—591no—
1021C23×C4—591no—
1022C23×C4—591no—
1023C23×C4—1184no—
1024C23×C4—1184no—
1025C23×C4—1184no—
1026C23×C4—1184no—
1027C23×C4—1184no—
1028C23×C4—2362no—
1029C23×C4—2362no—
1030C23×C4—2362no—
1031C23×C4—2362no—
1032C23×C4C22×D5911yescharacteristic
1033C23×C4C22×D5911yescharacteristic
1034C23×C4C22×D5911yescharacteristic
1035C2×C4⋊C4—591no—
1036C2×C4⋊C4—591no—
1037C2×C4⋊C4—591no—
1038C2×C4⋊C4—591no—
1039C2×C4⋊C4—591no—
1040C2×C4⋊C4—591no—
1041C2×C4⋊C4—591no—
1042C2×C4⋊C4—591no—
1043C2×C4⋊C4—591no—
1044C2×C4⋊C4—591no—
1045C2×C4⋊C4—591no—
1046C2×C4⋊C4—591no—
1047C2×C4⋊C4—1184no—
1048C2×C4⋊C4—2362no—
1049C2×C4⋊C4—2362no—
1050C2×C4⋊C4—2362no—
1051C2×C4⋊C4C22×D5911yescharacteristic
1052C2×C4⋊C4C22×D5911yescharacteristic
1053C2×C4⋊C4C22×D5911yescharacteristic
1054C2×C4⋊C4C22×D5911yescharacteristic
1055C2×C22⋊C4—591no—
1056C2×C22⋊C4—591no—
1057C2×C22⋊C4—591no—
1058C2×C22⋊C4—591no—
1059C2×C22⋊C4—591no—
1060C2×C22⋊C4—591no—
1061C2×C22⋊C4—591no—
1062C2×C22⋊C4—591no—
1063C2×C22⋊C4—591no—
1064C2×C22⋊C4—591no—
1065C2×C22⋊C4—591no—
1066C2×C22⋊C4—591no—
1067C2×C22⋊C4—591no—
1068C2×C22⋊C4—591no—
1069C2×C22⋊C4—591no—
1070C2×C22⋊C4—591no—
1071C2×C22⋊C4—591no—
1072C2×C22⋊C4—591no—
1073C2×C22⋊C4—591no—
1074C2×C22⋊C4—591no—
1075C2×C22⋊C4—591no—
1076C2×C22⋊C4—591no—
1077C2×C22⋊C4—591no—
1078C2×C22⋊C4—591no—
1079C2×C22⋊C4—591no—
1080C2×C22⋊C4—591no—
1081C2×C22⋊C4—591no—
1082C2×C22⋊C4—1184no—
1083C2×C22⋊C4—1184no—
1084C2×C22⋊C4—1184no—
1085C2×C22⋊C4—1184no—
1086C2×C22⋊C4—1184no—
1087C2×C22⋊C4—2362no—
1088C2×C22⋊C4—2362no—
1089C2×C22⋊C4—2362no—
1090C2×C22⋊C4—2362no—
1091C2×C22⋊C4C22×D5911yescharacteristic
1092C2×C22⋊C4C22×D5911yescharacteristic
1093C2×C22⋊C4C22×D5911yescharacteristic
1094C2×C22⋊C4C22×D5911yescharacteristic
1095C2×C22⋊C4C22×D5911yescharacteristic
1096C2×C22⋊C4C22×D5911yescharacteristic
1097C2×C22⋊C4C22×D5911yescharacteristic
1098C2×C22⋊C4C22×D5911yescharacteristic
1099C2×C22⋊C4C22×D5911yescharacteristic
1100C2×C42—591no—
1101C2×C42—591no—
1102C2×C42—591no—
1103C2×C42—591no—
1104C2×C42—591no—
1105C2×C42—591no—
1106C2×C42—1184no—
1107C2×C42—2362no—
1108C2×C42C22×D5911yescharacteristic
1109C2×C42C22×D5911yescharacteristic
1110#95—591no—
1111#95—591no—
1112#95—591no—
1113#95—591no—
1114#95—591no—
1115#95—591no—
1116#95—591no—
1117#95—591no—
1118#95—591no—
1119#95—591no—
1120#95—591no—
1121#95—591no—
1122#95—591no—
1123#95—591no—
1124#95—591no—
1125#95—591no—
1126#95—591no—
1127#95—591no—
1128#95—591no—
1129#95—591no—
1130#95—591no—
1131#95—591no—
1132#95—591no—
1133#95—591no—
1134#95—591no—
1135#95—591no—
1136#95—591no—
1137#95—591no—
1138#95—591no—
1139#95—591no—
1140#95—591no—
1141#95—591no—
1142#95—591no—
1143#95—591no—
1144#95—591no—
1145#95—591no—
1146#95—591no—
1147#95—591no—
1148#95—591no—
1149#95—591no—
1150#95—591no—
1151#95—591no—
1152#95—591no—
1153#95—591no—
1154#95—591no—
1155#95—591no—
1156#95—591no—
1157#95—591no—
1158#95C22×D5911yescharacteristic
1159#95C22×D5911yescharacteristic
1160#95C22×D5911yescharacteristic
1161#95C22×D5911yescharacteristic
1162#95C22×D5911yescharacteristic
1163#95C22×D5911yescharacteristic
1164#95C22×D5911yescharacteristic
1165#95C22×D5911yescharacteristic
1166#95C22×D5911yescharacteristic
1167#95C22×D5911yescharacteristic
1168#95C22×D5911yescharacteristic
1169#95C22×D5911yescharacteristic
1170#95C22×D5911yescharacteristic
1171#95C22×D5911yescharacteristic
1172#95C22×D5911yescharacteristic
1173#95C22×D5911yescharacteristic
1174C24—591no—
1175C24—594no—
1176C24—594no—
1177C24—594no—
1178C24—591no—
1179C24—591no—
1180C24—1182no—
1181C24—1182no—
1182C24—1182no—
1183C24—1182no—
1184C24—1182no—
1185C24—1182no—
1186C24—1182no—
1187C24—1182no—
1188C24—1182no—
1189C24—1182no—
1190C24—1182no—
1191C24C23×D5911yescharacteristic
1192C24C23×D5911yescharacteristic
1193C2×D4—22no—
1194C2×D4—22no—
1195C2×D4—22no—
1196C2×D4—1182no—
1197C2×D4—1182no—
1198C2×D4—1182no—
1199C2×D4—1182no—
1200C2×D4—1182no—
1201C2×D4—1182no—
1202C2×D4—1182no—
1203C2×D4—1182no—
1204C2×D4—1182no—
1205C2×D4—23616no—
1206C22×C4—22no—
1207C22×C4—22no—
1208C22×C4—22no—
1209C22×C4—22no—
1210C22×C4—22no—
1211C22×C4—41no—
1212C22×C4—41no—
1213C22×C4—41no—
1214C22×C4—41no—
1215C22×C4—591no—
1216C22×C4—591no—
1217C22×C4—594no—
1218C22×C4—594no—
1219C22×C4—591no—
1220C22×C4—591no—
1221C22×C4—591no—
1222C22×C4—591no—
1223C22×C4—591no—
1224C22×C4—591no—
1225C22×C4—591no—
1226C22×C4—591no—
1227C22×C4—591no—
1228C22×C4—591no—
1229C22×C4—591no—
1230C22×C4—1182no—
1231C22×C4—1182no—
1232C22×C4—1182no—
1233C22×C4—1182no—
1234C22×C4—1182no—
1235C22×C4—1182no—
1236C22×C4—1182no—
1237C22×C4—1182no—
1238C22×C4—1182no—
1239C22×C4—1182no—
1240C22×C4—1182no—
1241C22×C4—1182no—
1242C22×C4—1182no—
1243C22×C4—1182no—
1244C22×C4—1182no—
1245C22×C4—1182no—
1246C22×C4—1182no—
1247C22×C4—1182no—
1248C22×C4—1182no—
1249C22×C4—1182no—
1250C22×C4—1182no—
1251C22×C4—1182no—
1252C22×C4—1182no—
1253C22×C4—1182no—
1254C22×C4—1182no—
1255C22×C4—1182no—
1256C22×C4—1182no—
1257C22×C4—1182no—
1258C22×C4—1182no—
1259C22×C4—1182no—
1260C22×C4—1182no—
1261C22×C4—1182no—
1262C22×C4—1182no—
1263C22×C4—1182no—
1264C22×C4—1182no—
1265C22×C4—1182no—
1266C22×C4—1182no—
1267C22×C4—1182no—
1268C22×C4—1182no—
1269C22×C4—1182no—
1270C22×C4—1182no—
1271C22×C4—1182no—
1272C22×C4—1182no—
1273C22×C4—1182no—
1274C22×C4—1182no—
1275C22×C4—1182no—
1276C22×C4—1182no—
1277C22×C4—1182no—
1278C22×C4—1182no—
1279C22×C4—1182no—
1280C22×C4—1182no—
1281C22×C4—1182no—
1282C22×C4—2361no—
1283C22×C4—2361no—
1284C22×C4—2361no—
1285C22×C4—2361no—
1286C22×C4—2361no—
1287C22×C4—2361no—
1288C22×C4—2361no—
1289C22×C4—2361no—
1290C22×C4—23616no—
1291C22×C4—23616no—
1292C22×C4—23616no—
1293C22×C4—2361no—
1294C22×C4—2361no—
1295C22×C4—2361no—
1296C22×C4—2361no—
1297C22×C4C23×D5911yescharacteristic
1298C22×C4C23×D5911yescharacteristic
1299C22×C4C23×D5911yescharacteristic
1300C22×C4C23×D5911yescharacteristic
1301C22×C4C23×D5911yescharacteristic
1302C22×C4C23×D5911yescharacteristic
1303C22×C4C23×D5911yescharacteristic
1304C22×C4C23×D5911yescharacteristic
1305C22×C4C23×D5911yescharacteristic
1306C22×C4C23×D5911yescharacteristic
1307C22×C4C23×D5911yescharacteristic
1308C22×C4C23×D5911yescharacteristic
1309C22×C4C23×D5911yescharacteristic
1310C4⋊C4—22no—
1311C4⋊C4—41no—
1312C4⋊C4—41no—
1313C4⋊C4—41no—
1314C4⋊C4—1182no—
1315C4⋊C4—1182no—
1316C4⋊C4—1182no—
1317C4⋊C4—2361no—
1318C4⋊C4—2361no—
1319C4⋊C4—2361no—
1320C4⋊C4—2361no—
1321C4⋊C4—2361no—
1322C4⋊C4—2361no—
1323C4⋊C4—2361no—
1324C4⋊C4—2361no—
1325C4⋊C4—2361no—
1326C22⋊C4—22no—
1327C22⋊C4—22no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—41no—
1332C22⋊C4—41no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—1182no—
1336C22⋊C4—1182no—
1337C22⋊C4—1182no—
1338C22⋊C4—1182no—
1339C22⋊C4—1182no—
1340C22⋊C4—1182no—
1341C22⋊C4—1182no—
1342C22⋊C4—1182no—
1343C22⋊C4—1182no—
1344C22⋊C4—1182no—
1345C22⋊C4—1182no—
1346C22⋊C4—1182no—
1347C22⋊C4—1182no—
1348C22⋊C4—1182no—
1349C22⋊C4—1182no—
1350C22⋊C4—2361no—
1351C22⋊C4—2361no—
1352C22⋊C4—2361no—
1353C22⋊C4—2361no—
1354C22⋊C4—2361no—
1355C22⋊C4—2361no—
1356C22⋊C4—2361no—
1357C22⋊C4—2361no—
1358C22⋊C4—2361no—
1359C22⋊C4—2361no—
1360C22⋊C4—2361no—
1361C22⋊C4—2361no—
1362C42—22no—
1363C42—41no—
1364C42—1182no—
1365C42—1182no—
1366C42—1182no—
1367C42—2361no—
1368C42—2361no—
1369C42—2361no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23—592no—
1382C23—592no—
1383C23—592no—
1384C23—592no—
1385C23—592no—
1386C23—592no—
1387C23—592no—
1388C23—5916no—
1389C23—592no—
1390C23—592no—
1391C23—592no—
1392C23—1188no—
1393C23—1188no—
1394C23—1188no—
1395C23—1188no—
1396C23—1188no—
1397C23—1188no—
1398C23—1181no—
1399C23—1181no—
1400C23—1181no—
1401C23—1181no—
1402C23—1181no—
1403C23—1181no—
1404C23—1181no—
1405C23—1181no—
1406C23—1181no—
1407C23—1181no—
1408C23—1181no—
1409C23—2364no—
1410C23—2364no—
1411C23—2364no—
1412C23—2364no—
1413C23—2364no—
1414C23—2364no—
1415C23—2364no—
1416C23#41×D5912yes—
1417C23#41×D5912yes—
1418C23#41×D5912yes—
1419C23C24×D5911yescharacteristic
1420D4—44no—
1421D4—2364no—
1422D4—2364no—
1423D4—2364no—
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—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—44no—
1462C2×C4—44no—
1463C2×C4—44no—
1464C2×C4—592no—
1465C2×C4—592no—
1466C2×C4—1188no—
1467C2×C4—1188no—
1468C2×C4—1181no—
1469C2×C4—1181no—
1470C2×C4—1181no—
1471C2×C4—1181no—
1472C2×C4—1181no—
1473C2×C4—1181no—
1474C2×C4—1181no—
1475C2×C4—1181no—
1476C2×C4—1181no—
1477C2×C4—1181no—
1478C2×C4—1181no—
1479C2×C4—1181no—
1480C2×C4—1181no—
1481C2×C4—1181no—
1482C2×C4—1181no—
1483C2×C4—1181no—
1484C2×C4—1181no—
1485C2×C4—1181no—
1486C2×C4—1181no—
1487C2×C4—1181no—
1488C2×C4—1181no—
1489C2×C4—1181no—
1490C2×C4—1181no—
1491C2×C4—1181no—
1492C2×C4—1181no—
1493C2×C4—1181no—
1494C2×C4—1181no—
1495C2×C4—1181no—
1496C2×C4—1181no—
1497C2×C4—1181no—
1498C2×C4—1181no—
1499C2×C4—1181no—
1500C2×C4—1181no—
1501C2×C4—1181no—
1502C2×C4—1181no—
1503C2×C4—1181no—
1504C2×C4—1181no—
1505C2×C4—2364no—
1506C2×C4—2364no—
1507C2×C4—2364no—
1508C2×C4—2364no—
1509C2×C4—2364no—
1510C2×C4—2364no—
1511C2×C4—2364no—
1512C2×C4—2364no—
1513C2×C4—2364no—
1514C2×C4—2364no—
1515C2×C4—2364no—
1516C2×C4—2364no—
1517C2×C4—2364no—
1518C2×C4—2364no—
1519C2×C4—2364no—
1520C2×C4—2364no—
1521C2×C4—2364no—
1522C2×C4—2364no—
1523C2×C4—2364no—
1524C2×C4—2364no—
1525C2×C4#41×D5912yes—
1526C2×C4#41×D5912yes—
1527C22—22no—
1528C22—22no—
1529C22—22no—
1530C22—22no—
1531C22—22no—
1532C22—22no—
1533C22—41no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—594no—
1541C22—594no—
1542C22—594no—
1543C22—594no—
1544C22—594no—
1545C22—594no—
1546C22—594no—
1547C22—594no—
1548C22—11832no—
1549C22—1182no—
1550C22—1182no—
1551C22—1182no—
1552C22—1182no—
1553C22—1182no—
1554C22—1182no—
1555C22—4728no—
1556C22—2361no—
1557C22—2361no—
1558C22—2361no—
1559C22—2361no—
1560C22—2361no—
1561C22—2361no—
1562C22—2361no—
1563C22#126×D5914yes—
1564C22C2×#41×D5911yescharacteristic
1565C22C2×#41×D5911yescharacteristic
1566C22C2×#41×D5911yescharacteristic
1567C22C2×#41×D5911yescharacteristic
1568C22C2×#41×D5911yescharacteristic
1569C22H(5,𝔽2)×D5911yescharacteristic
1570C22H(5,𝔽2)×D5911yescharacteristic
1571C4—22no—
1572C4—22no—
1573C4—41no—
1574C4—41no—
1575C4—41no—
1576C4—41no—
1577C4—41no—
1578C4—41no—
1579C4—41no—
1580C4—41no—
1581C4—41no—
1582C4—41no—
1583C4—41no—
1584C4—1182no—
1585C4—1182no—
1586C4—2361no—
1587C4—2361no—
1588C4—2361no—
1589C4—2361no—
1590C4—2361no—
1591C4—2361no—
1592C4—2361no—
1593C4—2361no—
1594C4—2361no—
1595C4—2361no—
1596C4—2361no—
1597C2—24no—
1598C2—81no—
1599C2—598no—
1600C2—1184no—
1601C2—4721no—
1602C2C2×#126×D5911yescharacteristic
1603C2#529×D5911yescharacteristic
1604C2#538×D5911yescharacteristic
1605C2#551×D5911yescharacteristic
1606C2#551×D5911yescharacteristic
1607C2#553×D5911yescharacteristic
1608C2#553×D5911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2510C2
prime radicalC22×D4×D59C22
hypercenter#2510D59
hypocenterC59C2×#2510
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2510

Complements

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

NH ≅ G/Ntype
1. #21428663C2semidirect
2. #21428662C2semidirect
3. #21428661C2semidirect
4. #21428660C2semidirect
5. #21428659C2semidirect
6. #21428658C2semidirect
7. #21428657C2semidirect
8. #21428656C2semidirect
9. #21428655C2semidirect
10. #21428654C2semidirect
11. #21428653C2semidirect
12. #21428652C2semidirect
13. #21428651C2semidirect
14. #21428650C2semidirect
15. #21428649C2semidirect
16. #401×D59C2semidirect
17. #400×D59C2semidirect
18. #397×D59C2semidirect
19. #397×D59C2semidirect
20. #388×D59C2semidirect
21. #388×D59C2semidirect
22. #387×D59C2semidirect
26. #385×D59C2semidirect
27. #383×D59C2semidirect
28. #380×D59C2semidirect
29. C4×C22⋊C4×D59C2semidirect
30. C2×#95×D59C2semidirect
31. C59×#2510C2semidirect
51. C59⋊#401C22semidirect
52. C59⋊#401C22semidirect
53. C59⋊#401C22semidirect
54. C59⋊#401C22semidirect
55. C59⋊#401C22semidirect
56. C59⋊#401C22semidirect
57. C59⋊#401C22semidirect
58. #16837344C22semidirect
59. #16837344C22semidirect
60. #16837343C22semidirect
61. #16837343C22semidirect
62. #16837342C22semidirect
63. #16837341C22semidirect
64. #16837340C22semidirect
65. #16837331C22semidirect
66. #16837331C22semidirect
67. #16837331C22semidirect
68. #16837331C22semidirect
69. #16837330C22semidirect
70. #16837330C22semidirect
71. #16837330C22semidirect
72. #16837330C22semidirect
73. #16837329C22semidirect
74. #16837329C22semidirect
75. #16837328C22semidirect
76. #16837328C22semidirect
77. #16837327C22semidirect
78. #16837327C22semidirect
79. #16837296C22semidirect
80. #16837296C22semidirect
81. #16837295C22semidirect
82. #16837295C22semidirect
83. #16837294C22semidirect
84. #16837294C22semidirect
85. #16837293C22semidirect
86. #16837293C22semidirect
87. #16837292C22semidirect
88. #16837292C22semidirect
89. #16837291C22semidirect
90. #16837291C22semidirect
91. #16837290C22semidirect
92. #16837290C22semidirect
93. #16837289C22semidirect
94. #16837288C22semidirect
95. #16837287C22semidirect
96. #16837286C22semidirect
97. #16837285C22semidirect
98. #16837284C22semidirect
99. #16837283C22semidirect
121. #16837277C22semidirect
122. #16837276C22semidirect
123. #16837276C22semidirect
124. #16837275C22semidirect
125. #16837274C22semidirect
126. #16837273C22semidirect
127. #16837273C22semidirect
128. #16837270C22semidirect
129. #16837269C22semidirect
130. #16837269C22semidirect
131. #16837269C22semidirect
132. #16837269C22semidirect
133. #16837269C22semidirect
134. #16837269C22semidirect
135. #16837262C22semidirect
136. #16837261C22semidirect
137. #16837261C22semidirect
138. #16837260C22semidirect
139. #16837260C22semidirect
140. #16837259C22semidirect
141. #16837259C22semidirect
142. C22⋊C4×Dic59C22semidirect
143. C22⋊C4×Dic59C22semidirect
144. C4×(C2×D59)⋊C4C22semidirect
145. C4×(C2×D59)⋊C4C22semidirect
146. C4×C22⋊Dic59C22semidirect
147. #16837249C22semidirect
148. #16837249C22semidirect
149. C2×C59⋊#95C22semidirect
150. C2×C59⋊#95C22semidirect
151. C2×C59⋊#95C22semidirect
168. #95×D59C22semidirect
169. #95×D59C22semidirect
170. #95×D59C22semidirect
171. #95×D59C22semidirect
172. C59×#401C22semidirect
173. C59×#400C22semidirect
174. C59×#397C22semidirect
175. C59×#397C22semidirect
176. C59×#388C22semidirect
177. C59×#388C22semidirect
178. C59×#387C22semidirect
182. C59×#385C22semidirect
183. C59×#383C22semidirect
184. C59×#380C22semidirect
185. C4×C22⋊C4×C59C22semidirect
186. C2×#95×C59C22semidirect
808. #2510D59direct (N × H)
835. D59#2510direct (N × H)
862. #401C2×D59semidirect
870. #400C2×D59semidirect
885. #397C2×D59semidirect
886. #397C2×D59semidirect
901. #388C2×D59semidirect
902. #388C2×D59semidirect
910. #387C2×D59semidirect
942. #385C2×D59semidirect
950. #383C2×D59semidirect
958. #380C2×D59semidirect
966. C4×C22⋊C4C2×D59semidirect
990. C2×#95C2×D59semidirect
991. C59C2×#2510semidirect

Maximal subgroups

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

subgroupindex
#214286632
#214286622
#214286612
#214286602
#214286592
#214286582
#214286572
#214286562
#214286552
#214286542
#214286532
#214286522
#214286512
#214286502
#214286492
#401×D592
#400×D592
#397×D592
#388×D592
#387×D592
#386×D592
#385×D592
#383×D592
#380×D592
C4×C22⋊C4×D592
C2×#95×D592
C59×#25102
C2×#251059