Finite Group Databasebeta

← D59×#2526 #28758356

Subgroups — D59×#2526 #28758356

Order 15104.

2442 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21428875C211yesmaximal, characteristic, complemented
2#21428874C211yesmaximal, characteristic, complemented
3#21428873C211yesmaximal, characteristic, complemented
4#21428872C211yesmaximal, characteristic, complemented
5#21428871C211yesmaximal, characteristic, complemented
6#21428870C211yesmaximal, characteristic, complemented
7#21428869C211yesmaximal, characteristic, complemented
8#21428868C211yesmaximal, characteristic, complemented
9#21428867C211yesmaximal, characteristic, complemented
10#21428866C211yesmaximal, characteristic, complemented
11#21428865C211yesmaximal, characteristic, complemented
12#21428864C211yesmaximal, characteristic, complemented
13#21428863C211yesmaximal, characteristic, complemented
14#21428862C211yesmaximal, characteristic, complemented
15#21428861C211yesmaximal, characteristic, complemented
16#400×D59C211yesmaximal, characteristic, complemented
17#397×D59C211yesmaximal, characteristic, complemented
18#396×D59C211yesmaximal, characteristic, complemented
19#394×D59C211yesmaximal, characteristic
20#390×D59C211yesmaximal, characteristic
21#389×D59C211yesmaximal, characteristic, complemented
22#388×D59C211yesmaximal, characteristic, complemented
23#388×D59C211yesmaximal, characteristic, complemented
24#388×D59C211yesmaximal, characteristic, complemented
25#388×D59C211yesmaximal, characteristic, complemented
26#387×D59C211yesmaximal, characteristic, complemented
27#386×D59C211yesmaximal, characteristic
28#381×D59C211yesmaximal, characteristic, complemented
29C4×C22⋊C4×D59C211yesmaximal, characteristic, complemented
30#376×D59C211yesmaximal, characteristic, complemented
31C59×#2526C211yesmaximal, characteristic, complemented
32C22×D4×D59C2211yescharacteristic
33C23×C4×D59C2211yescharacteristic
34C2×C4⋊C4×D59C2211yescharacteristic
35C2×C4⋊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×C22⋊C4×D59C2211yescharacteristic
50C2×C22⋊C4×D59C2211yescharacteristic
51C2×C42×D59C2211yescharacteristic
52C2×C42×D59C2211yescharacteristic
53C2×C42×D59C2211yescharacteristic
54C2×C42×D59C2211yescharacteristic
55#16837344C2211yescharacteristic, complemented
56#16837344C2211yescharacteristic, complemented
57#16837343C2211yescharacteristic, complemented
58#16837343C2211yescharacteristic, complemented
59#16837342C2211yescharacteristic, complemented
60#16837341C2211yescharacteristic, complemented
61#16837340C2211yescharacteristic, complemented
62#16837331C2211yescharacteristic, complemented
63#16837331C2211yescharacteristic, complemented
64#16837330C2211yescharacteristic, complemented
65#16837330C2211yescharacteristic, complemented
66#16837329C2211yescharacteristic, complemented
67#16837328C2211yescharacteristic, complemented
68#16837327C2211yescharacteristic, complemented
69#16837326C2211yescharacteristic, complemented
70#16837325C2211yescharacteristic, complemented
71#16837325C2211yescharacteristic, complemented
72#16837325C2211yescharacteristic, complemented
73#16837324C2211yescharacteristic, complemented
74#16837324C2211yescharacteristic, complemented
75#16837324C2211yescharacteristic, complemented
76#16837320C2211yescharacteristic
77#16837319C2211yescharacteristic
78#16837318C2211yescharacteristic
79#16837318C2211yescharacteristic
80#16837317C2211yescharacteristic
81#16837317C2211yescharacteristic
82#16837316C2211yescharacteristic
83#16837305C2211yescharacteristic
84#16837304C2211yescharacteristic
85#16837303C2211yescharacteristic
86#16837302C2211yescharacteristic
87#16837302C2211yescharacteristic
88#16837302C2211yescharacteristic
89#16837302C2211yescharacteristic
90#16837301C2211yescharacteristic, complemented
91#16837300C2211yescharacteristic, complemented
92#16837299C2211yescharacteristic, complemented
93#16837299C2211yescharacteristic, complemented
94#16837298C2211yescharacteristic, complemented
95#16837297C2211yescharacteristic, complemented
96#16837297C2211yescharacteristic, complemented
97#16837296C2211yescharacteristic, complemented
98#16837296C2211yescharacteristic, complemented
99#16837296C2211yescharacteristic, complemented
100#16837296C2211yescharacteristic, complemented
101#16837295C2211yescharacteristic, complemented
102#16837295C2211yescharacteristic, complemented
103#16837295C2211yescharacteristic, complemented
104#16837295C2211yescharacteristic, complemented
105#16837294C2211yescharacteristic, complemented
106#16837294C2211yescharacteristic, complemented
107#16837294C2211yescharacteristic, complemented
108#16837294C2211yescharacteristic, complemented
109#16837293C2211yescharacteristic, complemented
110#16837293C2211yescharacteristic, complemented
111#16837293C2211yescharacteristic, complemented
112#16837293C2211yescharacteristic, complemented
113#16837292C2211yescharacteristic, complemented
114#16837292C2211yescharacteristic, complemented
115#16837292C2211yescharacteristic, complemented
116#16837292C2211yescharacteristic, complemented
117#16837291C2211yescharacteristic, complemented
118#16837291C2211yescharacteristic, complemented
119#16837291C2211yescharacteristic, complemented
120#16837291C2211yescharacteristic, complemented
121#16837290C2211yescharacteristic, complemented
122#16837290C2211yescharacteristic, complemented
123#16837290C2211yescharacteristic, complemented
124#16837290C2211yescharacteristic, complemented
125#16837289C2211yescharacteristic, complemented
126#16837288C2211yescharacteristic, complemented
127#16837287C2211yescharacteristic, complemented
128#16837286C2211yescharacteristic, complemented
129#16837285C2211yescharacteristic, complemented
130#16837284C2211yescharacteristic, complemented
131#16837283C2211yescharacteristic, complemented
132#16837282C2211yescharacteristic
133#16837281C2211yescharacteristic
134#16837280C2211yescharacteristic
135#16837280C2211yescharacteristic
136#16837279C2211yescharacteristic
137#16837278C2211yescharacteristic
138#16837278C2211yescharacteristic
139#16837265C2211yescharacteristic, complemented
140#16837264C2211yescharacteristic, complemented
141#16837264C2211yescharacteristic, complemented
142#16837264C2211yescharacteristic, complemented
143#16837264C2211yescharacteristic, complemented
144#16837263C2211yescharacteristic, complemented
145#16837263C2211yescharacteristic, complemented
146C22⋊C4×Dic59C2211yescharacteristic, complemented
147C22⋊C4×Dic59C2211yescharacteristic, complemented
148C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
149C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
150C4×C22⋊Dic59C2211yescharacteristic, complemented
151#16837249C2211yescharacteristic, complemented
152#16837249C2211yescharacteristic, complemented
153#16837248C2211yescharacteristic, complemented
154#16837248C2211yescharacteristic, complemented
155#16837248C2211yescharacteristic, complemented
156#16837247C2211yescharacteristic, complemented
157#16837247C2211yescharacteristic, complemented
158#16837247C2211yescharacteristic, complemented
159#16837247C2211yescharacteristic, complemented
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
169#95×D59C2211yescharacteristic
170#95×D59C2211yescharacteristic
171#95×D59C2211yescharacteristic
172C59×#400C2211yescharacteristic, complemented
173C59×#397C2211yescharacteristic, complemented
174C59×#396C2211yescharacteristic, complemented
175C59×#394C2211yescharacteristic
176C59×#390C2211yescharacteristic
177C59×#389C2211yescharacteristic, complemented
178C59×#388C2211yescharacteristic, complemented
179C59×#388C2211yescharacteristic, complemented
180C59×#388C2211yescharacteristic, complemented
181C59×#388C2211yescharacteristic, complemented
182C59×#387C2211yescharacteristic, complemented
183C59×#386C2211yescharacteristic
184C59×#381C2211yescharacteristic, complemented
185C4×C22⋊C4×C59C2211yescharacteristic, complemented
186C59×#376C2211yescharacteristic, complemented
187C24×D59C2311yescharacteristic
188C24×D59C2311yescharacteristic
189C22×D236C2311yescharacteristic
190C22×C22⋊D59C2311yescharacteristic
191C22×C22⋊D59C2311yescharacteristic
192C2×D4×D59—24no—
193C2×D4×D59—24no—
194C2×D4×D59—42no—
195C23×Dic59C2311yescharacteristic
196C22×C4×D59—24no—
197C22×C4×D59—24no—
198C22×C4×D59—42no—
199C22×C4×D59C2311yescharacteristic
200C22×C4×D59C2311yescharacteristic
201C22×C4×D59C2311yescharacteristic
202C22×C4×D59C2311yescharacteristic
203C22×C4×D59C2311yescharacteristic
204C22×C4×D59C2311yescharacteristic
205C22×C4×D59C2311yescharacteristic
206C22×C4×D59C2311yescharacteristic
207C22×C4×D59C2311yescharacteristic
208C22×C4×D59C2311yescharacteristic
209C22×C4×D59C2311yescharacteristic
210C22×C4×D59C2311yescharacteristic
211C22×C4×D59C2311yescharacteristic
212C22×C4×D59C2311yescharacteristic
213C22×C4×D59C2311yescharacteristic
214C2×C4⋊Dic59C2311yescharacteristic
215C2×C4⋊Dic59C2311yescharacteristic
216C2×C4⋊Dic59C2311yescharacteristic
217C2×C4⋊Dic59C2311yescharacteristic
218C2×C4⋊Dic59C2311yescharacteristic
219C2×C4⋊Dic59C2311yescharacteristic
220C2×Dic59⋊C4C2311yescharacteristic
221C2×Dic59⋊C4C2311yescharacteristic
222C2×Dic59⋊C4C2311yescharacteristic
223C2×Dic59⋊C4C2311yescharacteristic
224C2×Dic59⋊C4C2311yescharacteristic
225C2×Dic59⋊C4C2311yescharacteristic
226C2×Dic59⋊C4C2311yescharacteristic
227C2×Dic59⋊C4C2311yescharacteristic
228C2×Dic59⋊C4C2311yescharacteristic
229C2×Dic59⋊C4C2311yescharacteristic
230C2×Dic59⋊C4C2311yescharacteristic
231C2×Dic59⋊C4C2311yescharacteristic
232C4⋊C4×D59—24no—
233C4⋊C4×D59—24no—
234C4⋊C4×D59—42no—
235C4⋊C4×D59—42no—
236C4⋊C4×D59—42no—
237C4⋊C4×D59—42no—
238C2×C22⋊Dic59C2311yescharacteristic
239C2×C22⋊Dic59C2311yescharacteristic
240C2×C22⋊Dic59C2311yescharacteristic
241C2×C22⋊Dic59C2311yescharacteristic
242C2×C22⋊Dic59C2311yescharacteristic
243C2×C22⋊Dic59C2311yescharacteristic
244C2×C22⋊Dic59C2311yescharacteristic
245C2×C22⋊Dic59C2311yescharacteristic
246C2×C22⋊Dic59C2311yescharacteristic
247C2×C22⋊Dic59C2311yescharacteristic
248C2×C22⋊Dic59C2311yescharacteristic
249C2×(C2×D59)⋊C4C2311yescharacteristic
250C2×(C2×D59)⋊C4C2311yescharacteristic
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
269C2×(C2×D59)⋊C4C2311yescharacteristic
270C2×(C2×D59)⋊C4C2311yescharacteristic
271C22⋊C4×D59—24no—
272C22⋊C4×D59—24no—
273C22⋊C4×D59—24no—
274C22⋊C4×D59—24no—
275C22⋊C4×D59—24no—
276C22⋊C4×D59—24no—
277C22⋊C4×D59—42no—
278C22⋊C4×D59—42no—
279C22⋊C4×D59—42no—
280C22⋊C4×D59—42no—
281C22⋊C4×D59—42no—
282C2×C4×Dic59C2311yescharacteristic
283C2×C4×Dic59C2311yescharacteristic
284C2×C4×Dic59C2311yescharacteristic
285C2×C4×Dic59C2311yescharacteristic
286C2×C4×Dic59C2311yescharacteristic
287C2×C4×Dic59C2311yescharacteristic
288C2×C4×Dic59C2311yescharacteristic
289C2×C4×Dic59C2311yescharacteristic
290C2×C4×Dic59C2311yescharacteristic
291C2×C4×Dic59C2311yescharacteristic
292C2×C4×Dic59C2311yescharacteristic
293C2×C4×Dic59C2311yescharacteristic
294C42×D59—24no—
295C42×D59—24no—
296C42×D59—24no—
297C42×D59—42no—
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
336C2×C4⋊C4×C59C2311yescharacteristic
337C2×C4⋊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×C22⋊C4×C59C2311yescharacteristic
352C2×C22⋊C4×C59C2311yescharacteristic
353C2×C42×C59C2311yescharacteristic
354C2×C42×C59C2311yescharacteristic
355C2×C42×C59C2311yescharacteristic
356C2×C42×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—22no—
383C23×D59—22no—
384C23×D59#4114yes—
385C23×D59C2411yescharacteristic
386C23×D59C2411yescharacteristic
387C23×D59C2411yescharacteristic
388C2×D4×C59—22no—
389C2×D4×C59—22no—
390C2×D4×C59—41no—
391C22×C4×C59—22no—
392C22×C4×C59—22no—
393C22×C4×C59—41no—
394C22×C4×C59C2411yescharacteristic
395C22×C4×C59C2411yescharacteristic
396C22×C4×C59C2411yescharacteristic
397C22×C4×C59C2411yescharacteristic
398C22×C4×C59C2411yescharacteristic
399C22×C4×C59C2411yescharacteristic
400C22×C4×C59C2411yescharacteristic
401C22×C4×C59C2411yescharacteristic
402C22×C4×C59C2411yescharacteristic
403C22×C4×C59C2411yescharacteristic
404C22×C4×C59C2411yescharacteristic
405C22×C4×C59C2411yescharacteristic
406C22×C4×C59C2411yescharacteristic
407C2×C22⋊D59—22no—
408C2×C22⋊D59—22no—
409C2×C22⋊D59—22no—
410C2×C22⋊D59—22no—
411C2×C22⋊D59—41no—
412C2×C22⋊D59—41no—
413C22×Dic59—22no—
414C22×Dic59—22no—
415C22×Dic59—41no—
416C22×Dic59C2411yescharacteristic
417C22×Dic59C2411yescharacteristic
418C22×Dic59C2411yescharacteristic
419C22×Dic59C2411yescharacteristic
420C22×Dic59C2411yescharacteristic
421C22×Dic59C2411yescharacteristic
422C22×Dic59C2411yescharacteristic
423C22×Dic59C2411yescharacteristic
424C22×Dic59C2411yescharacteristic
425C22×Dic59C2411yescharacteristic
426C22×Dic59C2411yescharacteristic
427C22×Dic59C2411yescharacteristic
428C22×Dic59C2411yescharacteristic
429D4×D59—416no—
430C2×D236—22no—
431C2×D236—22no—
432C2×D236—41no—
433C2×C4×D59—22no—
434C2×C4×D59—22no—
435C2×C4×D59—22no—
436C2×C4×D59—22no—
437C2×C4×D59—22no—
438C2×C4×D59—22no—
439C2×C4×D59—22no—
440C2×C4×D59—22no—
441C2×C4×D59—22no—
442C2×C4×D59—22no—
443C2×C4×D59—22no—
444C2×C4×D59—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—416no—
473C2×C4×D59—41no—
474C2×C4×D59—41no—
475C2×C4×D59#4114yes—
476C2×C4×D59#4114yes—
477C2×C4×D59#4114yes—
478C2×C4×D59#4114yes—
479C4⋊C4×C59—22no—
480C4⋊C4×C59—22no—
481C4⋊C4×C59—41no—
482C4⋊C4×C59—41no—
483C4⋊C4×C59—41no—
484C4⋊C4×C59—41no—
485C22⋊C4×C59—22no—
486C22⋊C4×C59—22no—
487C22⋊C4×C59—22no—
488C22⋊C4×C59—22no—
489C22⋊C4×C59—22no—
490C22⋊C4×C59—22no—
491C22⋊C4×C59—41no—
492C22⋊C4×C59—41no—
493C22⋊C4×C59—41no—
494C22⋊C4×C59—41no—
495C22⋊C4×C59—41no—
496C42×C59—22no—
497C42×C59—22no—
498C42×C59—22no—
499C42×C59—41no—
500C22⋊Dic59—22no—
501C22⋊Dic59—22no—
502C22⋊Dic59—22no—
503C22⋊Dic59—22no—
504C22⋊Dic59—22no—
505C22⋊Dic59—22no—
506C22⋊Dic59—41no—
507C22⋊Dic59—41no—
508C22⋊Dic59—41no—
509C22⋊Dic59—41no—
510C22⋊Dic59—41no—
511(C2×D59)⋊C4—22no—
512(C2×D59)⋊C4—22no—
513(C2×D59)⋊C4—22no—
514(C2×D59)⋊C4—22no—
515(C2×D59)⋊C4—22no—
516(C2×D59)⋊C4—22no—
517(C2×D59)⋊C4—22no—
518(C2×D59)⋊C4—22no—
519(C2×D59)⋊C4—22no—
520(C2×D59)⋊C4—22no—
521(C2×D59)⋊C4—22no—
522(C2×D59)⋊C4—22no—
523(C2×D59)⋊C4—41no—
524(C2×D59)⋊C4—41no—
525(C2×D59)⋊C4—41no—
526(C2×D59)⋊C4—41no—
527(C2×D59)⋊C4—41no—
528(C2×D59)⋊C4—41no—
529(C2×D59)⋊C4—41no—
530(C2×D59)⋊C4—41no—
531(C2×D59)⋊C4—41no—
532(C2×D59)⋊C4—41no—
533C4⋊Dic59—22no—
534C4⋊Dic59—22no—
535C4⋊Dic59—41no—
536C4⋊Dic59—41no—
537C4⋊Dic59—41no—
538C4⋊Dic59—41no—
539Dic59⋊C4—22no—
540Dic59⋊C4—22no—
541Dic59⋊C4—22no—
542Dic59⋊C4—22no—
543Dic59⋊C4—41no—
544Dic59⋊C4—41no—
545Dic59⋊C4—41no—
546Dic59⋊C4—41no—
547Dic59⋊C4—41no—
548Dic59⋊C4—41no—
549Dic59⋊C4—41no—
550Dic59⋊C4—41no—
551C4×Dic59—22no—
552C4×Dic59—22no—
553C4×Dic59—22no—
554C4×Dic59—22no—
555C4×Dic59—22no—
556C4×Dic59—22no—
557C4×Dic59—22no—
558C4×Dic59—22no—
559C4×Dic59—22no—
560C4×Dic59—41no—
561C4×Dic59—41no—
562C4×Dic59—41no—
563C23×C59—21no—
564C23×C59—21no—
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×C59C2511yescharacteristic
578C22×D59—21no—
579C22×D59—21no—
580C22×D59—21no—
581C22×D59—21no—
582C22×D59—21no—
583C22×D59—21no—
584C22×D59—28no—
585C22×D59—28no—
586C22×D59—28no—
587C22×D59—21no—
588C22×D59—21no—
589C22×D59—21no—
590C22×D59—21no—
591C22×D59—21no—
592C22×D59—21no—
593C22×D59—21no—
594C22×D59—44no—
595C22×D59—44no—
596C22×D59—44no—
597C22×D59—44no—
598C22×D59—44no—
599C22×D59—44no—
600C22×D59—44no—
601C22×D59—44no—
602C22×D59—44no—
603C22×D59—44no—
604C22×D59—44no—
605C22×D59C2×#4112yes—
606C22×D59C2×#4112yes—
607C22×D59C2×#4112yes—
608C22×D59C2×#4112yes—
609C22×D59C2×#4112yes—
610C22×D59C2×#4112yes—
611C22×D59H(5,𝔽2)12yes—
612C22×D59H(5,𝔽2)12yes—
613D4×C59—44no—
614C2×C4×C59—21no—
615C2×C4×C59—21no—
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—44no—
650C2×C4×C59C2×#4112yes—
651C2×C4×C59C2×#4112yes—
652C2×C4×C59C2×#4112yes—
653C2×C4×C59C2×#4112yes—
654C22⋊D59—44no—
655C22⋊D59—44no—
656C2×Dic59—21no—
657C2×Dic59—21no—
658C2×Dic59—21no—
659C2×Dic59—21no—
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—44no—
692C2×Dic59C2×#4112yes—
693C2×Dic59C2×#4112yes—
694C2×Dic59C2×#4112yes—
695C2×Dic59C2×#4112yes—
696D236—44no—
697C4×D59—28no—
698C4×D59—28no—
699C4×D59—28no—
700C4×D59—28no—
701C4×D59—44no—
702C4×D59—44no—
703C4×D59—44no—
704C4×D59—44no—
705C4×D59—44no—
706C4×D59—44no—
707C4×D59—44no—
708C4×D59—44no—
709C4×D59—44no—
710C4×D59—44no—
711C4×D59—44no—
712C2×#2526—591nomaximal, Sylow
713C22×C59—22no—
714C22×C59—22no—
715C22×C59—22no—
716C22×C59—41no—
717C22×C59—41no—
718C22×C59—41no—
719C22×C59—41no—
720C22×C59—41no—
721C22×C59—41no—
722C22×C59—41no—
723C22×C59—41no—
724C22×C59—41no—
725C22×C59—41no—
726C22×C59—41no—
727C22×C59C22×#4111yescharacteristic
728C22×C59C22×#4111yescharacteristic
729C22×C59C22×#4111yescharacteristic
730C22×C59C22×#4111yescharacteristic
731C22×C59C22×#4111yescharacteristic
732C22×C59C2×H(5,𝔽2)11yescharacteristic
733C22×C59C2×H(5,𝔽2)11yescharacteristic
734C2×D59—22no—
735C2×D59—22no—
736C2×D59—22no—
737C2×D59—41no—
738C2×D59—41no—
739C2×D59—41no—
740C2×D59—41no—
741C2×D59—416no—
742C2×D59—41no—
743C2×D59—41no—
744C2×D59—41no—
745C2×D59—41no—
746C2×D59—41no—
747C2×D59—41no—
748C2×D59—41no—
749C2×D59—88no—
750C2×D59#52914yes—
751C2×D59#52914yes—
752C2×D59#54014yes—
753C2×D59#55114yes—
754C2×D59#55114yes—
755C2×D59#55314yes—
756C2×D59#55514yes—
757C4×C59—22no—
758C4×C59—22no—
759C4×C59—22no—
760C4×C59—22no—
761C4×C59—41no—
762C4×C59—41no—
763C4×C59—41no—
764C4×C59—41no—
765C4×C59—41no—
766C4×C59—41no—
767C4×C59—41no—
768C4×C59—41no—
769C4×C59—41no—
770Dic59—22no—
771Dic59—22no—
772Dic59—22no—
773Dic59—22no—
774Dic59—41no—
775Dic59—41no—
776Dic59—41no—
777Dic59—41no—
778Dic59—41no—
779Dic59—41no—
780Dic59—41no—
781Dic59—41no—
782Dic59—41no—
783#2526—591no—
784#2526—591no—
785#2526—591no—
786#2526—591no—
787#2526—591no—
788#2526—591no—
789#2526—591no—
790#2526—591no—
791#2526—591no—
792#2526—591no—
793#2526—591no—
794#2526—591no—
795#2526—591no—
796#2526—591no—
797#2526—591no—
798#2526D5911yescharacteristic, direct product factor
799C2×#400—591no—
800C2×#397—591no—
801C2×#396—591no—
802C2×#394—591no—
803C2×#390—591no—
804C2×#389—591no—
805C2×#388—591no—
806C2×#388—591no—
807C2×#388—591no—
808C2×#388—591no—
809C2×#387—591no—
810C2×#386—591no—
811C2×#381—591no—
812C2×C4×C22⋊C4—591no—
813C2×#376—591no—
814C2×C59—42no—
815C2×C59—81no—
816C2×C59C2×#52911yescharacteristic
817C2×C59C2×#52911yescharacteristic
818C2×C59C2×#54011yescharacteristic
819C2×C59C2×#55111yescharacteristic
820C2×C59C2×#55111yescharacteristic
821C2×C59C2×#55311yescharacteristic
822C2×C59C2×#55511yescharacteristic
823D59—42no—
824D59—81no—
825D59#252618yesdirect product factor
826C23×D4—591no—
827C24×C4—591no—
828C22×C4⋊C4—591no—
829C22×C4⋊C4—591no—
830C22×C4⋊C4—591no—
831C22×C4⋊C4—591no—
832C22×C4⋊C4—591no—
833C22×C4⋊C4—591no—
834C22×C22⋊C4—591no—
835C22×C22⋊C4—591no—
836C22×C22⋊C4—591no—
837C22×C22⋊C4—591no—
838C22×C22⋊C4—591no—
839C22×C22⋊C4—591no—
840C22×C22⋊C4—591no—
841C22×C22⋊C4—591no—
842C22×C22⋊C4—591no—
843C22×C22⋊C4—591no—
844C22×C22⋊C4—591no—
845C22×C42—591no—
846C22×C42—591no—
847C22×C42—591no—
848C22×C42—591no—
849#400—591no—
850#400—591no—
851#400—591no—
852#400—591no—
853#400—591no—
854#400—591no—
855#400—591no—
856#400C2×D5911yescharacteristic, complemented
857#397—591no—
858#397—591no—
859#397—591no—
860#397—591no—
861#397—591no—
862#397—591no—
863#397—591no—
864#397C2×D5911yescharacteristic, complemented
865#396—591no—
866#396—591no—
867#396—591no—
868#396—591no—
869#396—591no—
870#396—591no—
871#396—591no—
872#396C2×D5911yescharacteristic, complemented
873#394—591no—
874#394—591no—
875#394—591no—
876#394—591no—
877#394—591no—
878#394—591no—
879#394—591no—
880#394C2×D5911yescharacteristic
881#390—591no—
882#390—591no—
883#390—591no—
884#390—591no—
885#390—591no—
886#390—591no—
887#390—591no—
888#390C2×D5911yescharacteristic
889#389—591no—
890#389—591no—
891#389—591no—
892#389—591no—
893#389—591no—
894#389—591no—
895#389—591no—
896#389C2×D5911yescharacteristic, complemented
897#388—591no—
898#388—591no—
899#388—591no—
900#388—591no—
901#388—591no—
902#388—591no—
903#388—591no—
904#388—591no—
905#388—591no—
906#388—591no—
907#388—591no—
908#388—591no—
909#388—591no—
910#388—591no—
911#388—591no—
912#388—591no—
913#388—591no—
914#388—591no—
915#388—591no—
916#388—591no—
917#388—591no—
918#388—591no—
919#388—591no—
920#388—591no—
921#388—591no—
922#388—591no—
923#388—591no—
924#388—591no—
925#388C2×D5911yescharacteristic, complemented
926#388C2×D5911yescharacteristic, complemented
927#388C2×D5911yescharacteristic, complemented
928#388C2×D5911yescharacteristic, complemented
929#387—591no—
930#387—591no—
931#387—591no—
932#387—591no—
933#387—591no—
934#387—591no—
935#387—591no—
936#387C2×D5911yescharacteristic, complemented
937#386—591no—
938#386—591no—
939#386—591no—
940#386—591no—
941#386—591no—
942#386—591no—
943#386—591no—
944#386C2×D5911yescharacteristic
945#381—591no—
946#381—591no—
947#381—591no—
948#381—591no—
949#381—591no—
950#381—591no—
951#381—591no—
952#381C2×D5911yescharacteristic, complemented
953C4×C22⋊C4—591no—
954C4×C22⋊C4—591no—
955C4×C22⋊C4—591no—
956C4×C22⋊C4—591no—
957C4×C22⋊C4—591no—
958C4×C22⋊C4—591no—
959C4×C22⋊C4—591no—
960C4×C22⋊C4C2×D5911yescharacteristic, complemented
961#376—591no—
962#376—591no—
963#376—591no—
964#376—591no—
965#376—591no—
966#376—591no—
967#376—591no—
968#376C2×D5911yescharacteristic, complemented
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—
981C59C2×#252611yescharacteristic, complemented, Sylow
982C25—591no—
983C25—591no—
984C22×D4—591no—
985C22×D4—591no—
986C22×D4—591no—
987C22×D4—1184no—
988C22×D4—1184no—
989C22×D4—2362no—
990C22×D4C22×D5911yescharacteristic
991C23×C4—591no—
992C23×C4—591no—
993C23×C4—591no—
994C23×C4—591no—
995C23×C4—591no—
996C23×C4—591no—
997C23×C4—591no—
998C23×C4—591no—
999C23×C4—591no—
1000C23×C4—591no—
1001C23×C4—591no—
1002C23×C4—591no—
1003C23×C4—591no—
1004C23×C4—591no—
1005C23×C4—591no—
1006C23×C4—591no—
1007C23×C4—1184no—
1008C23×C4—1184no—
1009C23×C4—2362no—
1010C23×C4C22×D5911yescharacteristic
1011C2×C4⋊C4—591no—
1012C2×C4⋊C4—591no—
1013C2×C4⋊C4—591no—
1014C2×C4⋊C4—591no—
1015C2×C4⋊C4—591no—
1016C2×C4⋊C4—591no—
1017C2×C4⋊C4—591no—
1018C2×C4⋊C4—591no—
1019C2×C4⋊C4—591no—
1020C2×C4⋊C4—591no—
1021C2×C4⋊C4—591no—
1022C2×C4⋊C4—591no—
1023C2×C4⋊C4—591no—
1024C2×C4⋊C4—591no—
1025C2×C4⋊C4—591no—
1026C2×C4⋊C4—591no—
1027C2×C4⋊C4—591no—
1028C2×C4⋊C4—591no—
1029C2×C4⋊C4—1184no—
1030C2×C4⋊C4—1184no—
1031C2×C4⋊C4—2362no—
1032C2×C4⋊C4—2362no—
1033C2×C4⋊C4—2362no—
1034C2×C4⋊C4—2362no—
1035C2×C4⋊C4C22×D5911yescharacteristic
1036C2×C4⋊C4C22×D5911yescharacteristic
1037C2×C4⋊C4C22×D5911yescharacteristic
1038C2×C4⋊C4C22×D5911yescharacteristic
1039C2×C4⋊C4C22×D5911yescharacteristic
1040C2×C4⋊C4C22×D5911yescharacteristic
1041C2×C22⋊C4—591no—
1042C2×C22⋊C4—591no—
1043C2×C22⋊C4—591no—
1044C2×C22⋊C4—591no—
1045C2×C22⋊C4—591no—
1046C2×C22⋊C4—591no—
1047C2×C22⋊C4—591no—
1048C2×C22⋊C4—591no—
1049C2×C22⋊C4—591no—
1050C2×C22⋊C4—591no—
1051C2×C22⋊C4—591no—
1052C2×C22⋊C4—591no—
1053C2×C22⋊C4—591no—
1054C2×C22⋊C4—591no—
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—1184no—
1075C2×C22⋊C4—1184no—
1076C2×C22⋊C4—1184no—
1077C2×C22⋊C4—1184no—
1078C2×C22⋊C4—1184no—
1079C2×C22⋊C4—1184no—
1080C2×C22⋊C4—2362no—
1081C2×C22⋊C4—2362no—
1082C2×C22⋊C4—2362no—
1083C2×C22⋊C4—2362no—
1084C2×C22⋊C4—2362no—
1085C2×C22⋊C4C22×D5911yescharacteristic
1086C2×C22⋊C4C22×D5911yescharacteristic
1087C2×C22⋊C4C22×D5911yescharacteristic
1088C2×C22⋊C4C22×D5911yescharacteristic
1089C2×C22⋊C4C22×D5911yescharacteristic
1090C2×C22⋊C4C22×D5911yescharacteristic
1091C2×C22⋊C4C22×D5911yescharacteristic
1092C2×C22⋊C4C22×D5911yescharacteristic
1093C2×C22⋊C4C22×D5911yescharacteristic
1094C2×C22⋊C4C22×D5911yescharacteristic
1095C2×C22⋊C4C22×D5911yescharacteristic
1096C2×C42—591no—
1097C2×C42—591no—
1098C2×C42—591no—
1099C2×C42—591no—
1100C2×C42—591no—
1101C2×C42—591no—
1102C2×C42—591no—
1103C2×C42—591no—
1104C2×C42—591no—
1105C2×C42—591no—
1106C2×C42—591no—
1107C2×C42—591no—
1108C2×C42—1184no—
1109C2×C42—1184no—
1110C2×C42—1184no—
1111C2×C42—2362no—
1112C2×C42C22×D5911yescharacteristic
1113C2×C42C22×D5911yescharacteristic
1114C2×C42C22×D5911yescharacteristic
1115C2×C42C22×D5911yescharacteristic
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#95C22×D5911yescharacteristic
1153#95C22×D5911yescharacteristic
1154#95C22×D5911yescharacteristic
1155#95C22×D5911yescharacteristic
1156#95C22×D5911yescharacteristic
1157#95C22×D5911yescharacteristic
1158#95C22×D5911yescharacteristic
1159#95C22×D5911yescharacteristic
1160#95C22×D5911yescharacteristic
1161#95C22×D5911yescharacteristic
1162#95C22×D5911yescharacteristic
1163#95C22×D5911yescharacteristic
1164C24—591no—
1165C24—594no—
1166C24—591no—
1167C24—591no—
1168C24—1182no—
1169C24—1182no—
1170C24—1182no—
1171C24—1182no—
1172C24—1182no—
1173C24—1182no—
1174C24—1182no—
1175C24—1182no—
1176C24—1182no—
1177C24—1182no—
1178C24—1182no—
1179C24—1182no—
1180C24—1182no—
1181C24C23×D5911yescharacteristic
1182C24C23×D5911yescharacteristic
1183C2×D4—22no—
1184C2×D4—22no—
1185C2×D4—41no—
1186C2×D4—1182no—
1187C2×D4—1182no—
1188C2×D4—1182no—
1189C2×D4—1182no—
1190C2×D4—1182no—
1191C2×D4—1182no—
1192C2×D4—2361no—
1193C2×D4—23616no—
1194C2×D4—2361no—
1195C2×D4—2361no—
1196C22×C4—22no—
1197C22×C4—22no—
1198C22×C4—41no—
1199C22×C4—591no—
1200C22×C4—591no—
1201C22×C4—591no—
1202C22×C4—591no—
1203C22×C4—594no—
1204C22×C4—594no—
1205C22×C4—594no—
1206C22×C4—594no—
1207C22×C4—591no—
1208C22×C4—591no—
1209C22×C4—591no—
1210C22×C4—591no—
1211C22×C4—591no—
1212C22×C4—591no—
1213C22×C4—591no—
1214C22×C4—591no—
1215C22×C4—591no—
1216C22×C4—1182no—
1217C22×C4—1182no—
1218C22×C4—1182no—
1219C22×C4—1182no—
1220C22×C4—1182no—
1221C22×C4—1182no—
1222C22×C4—1182no—
1223C22×C4—1182no—
1224C22×C4—1182no—
1225C22×C4—1182no—
1226C22×C4—1182no—
1227C22×C4—1182no—
1228C22×C4—1182no—
1229C22×C4—1182no—
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—2361no—
1258C22×C4—2361no—
1259C22×C4—23616no—
1260C22×C4—2361no—
1261C22×C4C23×D5911yescharacteristic
1262C22×C4C23×D5911yescharacteristic
1263C22×C4C23×D5911yescharacteristic
1264C22×C4C23×D5911yescharacteristic
1265C22×C4C23×D5911yescharacteristic
1266C22×C4C23×D5911yescharacteristic
1267C22×C4C23×D5911yescharacteristic
1268C22×C4C23×D5911yescharacteristic
1269C22×C4C23×D5911yescharacteristic
1270C22×C4C23×D5911yescharacteristic
1271C22×C4C23×D5911yescharacteristic
1272C22×C4C23×D5911yescharacteristic
1273C22×C4C23×D5911yescharacteristic
1274C4⋊C4—22no—
1275C4⋊C4—22no—
1276C4⋊C4—41no—
1277C4⋊C4—41no—
1278C4⋊C4—41no—
1279C4⋊C4—41no—
1280C4⋊C4—1182no—
1281C4⋊C4—1182no—
1282C4⋊C4—1182no—
1283C4⋊C4—1182no—
1284C4⋊C4—1182no—
1285C4⋊C4—1182no—
1286C4⋊C4—2361no—
1287C4⋊C4—2361no—
1288C4⋊C4—2361no—
1289C4⋊C4—2361no—
1290C4⋊C4—2361no—
1291C4⋊C4—2361no—
1292C4⋊C4—2361no—
1293C4⋊C4—2361no—
1294C4⋊C4—2361no—
1295C4⋊C4—2361no—
1296C4⋊C4—2361no—
1297C4⋊C4—2361no—
1298C22⋊C4—22no—
1299C22⋊C4—22no—
1300C22⋊C4—22no—
1301C22⋊C4—22no—
1302C22⋊C4—22no—
1303C22⋊C4—22no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
1306C22⋊C4—41no—
1307C22⋊C4—41no—
1308C22⋊C4—41no—
1309C22⋊C4—1182no—
1310C22⋊C4—1182no—
1311C22⋊C4—1182no—
1312C22⋊C4—1182no—
1313C22⋊C4—1182no—
1314C22⋊C4—1182no—
1315C22⋊C4—1182no—
1316C22⋊C4—1182no—
1317C22⋊C4—1182no—
1318C22⋊C4—1182no—
1319C22⋊C4—1182no—
1320C22⋊C4—1182no—
1321C22⋊C4—1182no—
1322C22⋊C4—1182no—
1323C22⋊C4—1182no—
1324C22⋊C4—1182no—
1325C22⋊C4—1182no—
1326C22⋊C4—1182no—
1327C22⋊C4—2361no—
1328C22⋊C4—2361no—
1329C22⋊C4—2361no—
1330C22⋊C4—2361no—
1331C22⋊C4—2361no—
1332C22⋊C4—2361no—
1333C22⋊C4—2361no—
1334C22⋊C4—2361no—
1335C22⋊C4—2361no—
1336C22⋊C4—2361no—
1337C22⋊C4—2361no—
1338C22⋊C4—2361no—
1339C22⋊C4—2361no—
1340C22⋊C4—2361no—
1341C22⋊C4—2361no—
1342C42—22no—
1343C42—22no—
1344C42—22no—
1345C42—41no—
1346C42—1182no—
1347C42—1182no—
1348C42—1182no—
1349C42—1182no—
1350C42—1182no—
1351C42—1182no—
1352C42—1182no—
1353C42—1182no—
1354C42—1182no—
1355C42—2361no—
1356C42—2361no—
1357C42—2361no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—592no—
1372C23—592no—
1373C23—592no—
1374C23—592no—
1375C23—592no—
1376C23—592no—
1377C23—592no—
1378C23—592no—
1379C23—1188no—
1380C23—1188no—
1381C23—1188no—
1382C23—1181no—
1383C23—1181no—
1384C23—1181no—
1385C23—1181no—
1386C23—1181no—
1387C23—1181no—
1388C23—1181no—
1389C23—1181no—
1390C23—1181no—
1391C23—1181no—
1392C23—1181no—
1393C23—1181no—
1394C23—1181no—
1395C23—2364no—
1396C23—2364no—
1397C23—2364no—
1398C23—2364no—
1399C23—2364no—
1400C23—2364no—
1401C23—2364no—
1402C23—2364no—
1403C23—2364no—
1404C23—2364no—
1405C23—2364no—
1406C23#41×D5912yes—
1407C23C24×D5911yescharacteristic
1408D4—44no—
1409D4—2364no—
1410D4—2364no—
1411D4—2364no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—44no—
1448C2×C4—592no—
1449C2×C4—592no—
1450C2×C4—592no—
1451C2×C4—592no—
1452C2×C4—1188no—
1453C2×C4—1188no—
1454C2×C4—1188no—
1455C2×C4—1188no—
1456C2×C4—1181no—
1457C2×C4—1181no—
1458C2×C4—1181no—
1459C2×C4—1181no—
1460C2×C4—1181no—
1461C2×C4—1181no—
1462C2×C4—1181no—
1463C2×C4—1181no—
1464C2×C4—1181no—
1465C2×C4—1181no—
1466C2×C4—1181no—
1467C2×C4—1181no—
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—2364no—
1492C2×C4—2364no—
1493C2×C4—2364no—
1494C2×C4—2364no—
1495C2×C4—2364no—
1496C2×C4—2364no—
1497C2×C4—2364no—
1498C2×C4—2364no—
1499C2×C4—2364no—
1500C2×C4—2364no—
1501C2×C4—2364no—
1502C2×C4—2364no—
1503C2×C4#41×D5912yes—
1504C2×C4#41×D5912yes—
1505C2×C4#41×D5912yes—
1506C2×C4#41×D5912yes—
1507C22—22no—
1508C22—22no—
1509C22—22no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—594no—
1522C22—594no—
1523C22—594no—
1524C22—594no—
1525C22—594no—
1526C22—594no—
1527C22—594no—
1528C22—1182no—
1529C22—1182no—
1530C22—1182no—
1531C22—4728no—
1532C22—23616no—
1533C22—2361no—
1534C22—2361no—
1535C22—2361no—
1536C22—2361no—
1537C22—2361no—
1538C22—2361no—
1539C22—2361no—
1540C22—2361no—
1541C22—2361no—
1542C22—2361no—
1543C22—2361no—
1544C22C2×#41×D5911yescharacteristic
1545C22C2×#41×D5911yescharacteristic
1546C22C2×#41×D5911yescharacteristic
1547C22C2×#41×D5911yescharacteristic
1548C22C2×#41×D5911yescharacteristic
1549C22H(5,𝔽2)×D5911yescharacteristic
1550C22H(5,𝔽2)×D5911yescharacteristic
1551C4—22no—
1552C4—22no—
1553C4—22no—
1554C4—22no—
1555C4—41no—
1556C4—41no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C4—41no—
1561C4—41no—
1562C4—41no—
1563C4—41no—
1564C4—1182no—
1565C4—1182no—
1566C4—1182no—
1567C4—1182no—
1568C4—2361no—
1569C4—2361no—
1570C4—2361no—
1571C4—2361no—
1572C4—2361no—
1573C4—2361no—
1574C4—2361no—
1575C4—2361no—
1576C4—2361no—
1577C2—42no—
1578C2—81no—
1579C2—598no—
1580C2—4721no—
1581C2—2362no—
1582C2#529×D5911yescharacteristic
1583C2#529×D5911yescharacteristic
1584C2#540×D5911yescharacteristic
1585C2#551×D5911yescharacteristic
1586C2#551×D5911yescharacteristic
1587C2#553×D5911yescharacteristic
1588C2#555×D5911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2526C2
prime radicalC22×D4×D59C22
hypercenter#2526D59
hypocenterC59C2×#2526
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2526

Complements

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

NH ≅ G/Ntype
1. #21428875C2semidirect
2. #21428874C2semidirect
3. #21428873C2semidirect
4. #21428872C2semidirect
5. #21428871C2semidirect
6. #21428870C2semidirect
7. #21428869C2semidirect
8. #21428868C2semidirect
9. #21428867C2semidirect
10. #21428866C2semidirect
11. #21428865C2semidirect
12. #21428864C2semidirect
13. #21428863C2semidirect
14. #21428862C2semidirect
15. #21428861C2semidirect
16. #400×D59C2semidirect
17. #397×D59C2semidirect
18. #396×D59C2semidirect
21. #389×D59C2semidirect
22. #388×D59C2semidirect
23. #388×D59C2semidirect
24. #388×D59C2semidirect
25. #388×D59C2semidirect
26. #387×D59C2semidirect
28. #381×D59C2semidirect
29. C4×C22⋊C4×D59C2semidirect
30. #376×D59C2semidirect
31. C59×#2526C2semidirect
55. #16837344C22semidirect
56. #16837344C22semidirect
57. #16837343C22semidirect
58. #16837343C22semidirect
59. #16837342C22semidirect
60. #16837341C22semidirect
61. #16837340C22semidirect
62. #16837331C22semidirect
63. #16837331C22semidirect
64. #16837330C22semidirect
65. #16837330C22semidirect
66. #16837329C22semidirect
67. #16837328C22semidirect
68. #16837327C22semidirect
69. #16837326C22semidirect
70. #16837325C22semidirect
71. #16837325C22semidirect
72. #16837325C22semidirect
73. #16837324C22semidirect
74. #16837324C22semidirect
75. #16837324C22semidirect
90. #16837301C22semidirect
91. #16837300C22semidirect
92. #16837299C22semidirect
93. #16837299C22semidirect
94. #16837298C22semidirect
95. #16837297C22semidirect
96. #16837297C22semidirect
97. #16837296C22semidirect
98. #16837296C22semidirect
99. #16837296C22semidirect
100. #16837296C22semidirect
101. #16837295C22semidirect
102. #16837295C22semidirect
103. #16837295C22semidirect
104. #16837295C22semidirect
105. #16837294C22semidirect
106. #16837294C22semidirect
107. #16837294C22semidirect
108. #16837294C22semidirect
109. #16837293C22semidirect
110. #16837293C22semidirect
111. #16837293C22semidirect
112. #16837293C22semidirect
113. #16837292C22semidirect
114. #16837292C22semidirect
115. #16837292C22semidirect
116. #16837292C22semidirect
117. #16837291C22semidirect
118. #16837291C22semidirect
119. #16837291C22semidirect
120. #16837291C22semidirect
121. #16837290C22semidirect
122. #16837290C22semidirect
123. #16837290C22semidirect
124. #16837290C22semidirect
125. #16837289C22semidirect
126. #16837288C22semidirect
127. #16837287C22semidirect
128. #16837286C22semidirect
129. #16837285C22semidirect
130. #16837284C22semidirect
131. #16837283C22semidirect
139. #16837265C22semidirect
140. #16837264C22semidirect
141. #16837264C22semidirect
142. #16837264C22semidirect
143. #16837264C22semidirect
144. #16837263C22semidirect
145. #16837263C22semidirect
146. C22⋊C4×Dic59C22semidirect
147. C22⋊C4×Dic59C22semidirect
148. C4×(C2×D59)⋊C4C22semidirect
149. C4×(C2×D59)⋊C4C22semidirect
150. C4×C22⋊Dic59C22semidirect
151. #16837249C22semidirect
152. #16837249C22semidirect
153. #16837248C22semidirect
154. #16837248C22semidirect
155. #16837248C22semidirect
156. #16837247C22semidirect
157. #16837247C22semidirect
158. #16837247C22semidirect
159. #16837247C22semidirect
172. C59×#400C22semidirect
173. C59×#397C22semidirect
174. C59×#396C22semidirect
177. C59×#389C22semidirect
178. C59×#388C22semidirect
179. C59×#388C22semidirect
180. C59×#388C22semidirect
181. C59×#388C22semidirect
182. C59×#387C22semidirect
184. C59×#381C22semidirect
185. C4×C22⋊C4×C59C22semidirect
186. C59×#376C22semidirect
798. #2526D59direct (N × H)
825. D59#2526direct (N × H)
856. #400C2×D59semidirect
864. #397C2×D59semidirect
872. #396C2×D59semidirect
896. #389C2×D59semidirect
925. #388C2×D59semidirect
926. #388C2×D59semidirect
927. #388C2×D59semidirect
928. #388C2×D59semidirect
936. #387C2×D59semidirect
952. #381C2×D59semidirect
960. C4×C22⋊C4C2×D59semidirect
968. #376C2×D59semidirect
981. C59C2×#2526semidirect

Maximal subgroups

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

subgroupindex
#214288752
#214288742
#214288732
#214288722
#214288712
#214288702
#214288692
#214288682
#214288672
#214288662
#214288652
#214288642
#214288632
#214288622
#214288612
#400×D592
#397×D592
#396×D592
#394×D592
#390×D592
#389×D592
#388×D592
#387×D592
#386×D592
#381×D592
C4×C22⋊C4×D592
#376×D592
C59×#25262
C2×#252659