Finite Group Databasebeta

← D59×#2649 #28755192

Subgroups — D59×#2649 #28755192

Order 15104.

2330 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#21430106C211yesmaximal, characteristic, complemented
2#21430105C211yesmaximal, characteristic, complemented
3#21430104C211yesmaximal, characteristic, complemented
4#21430103C211yesmaximal, characteristic, complemented
5#21430102C211yesmaximal, characteristic, complemented
6#21430101C211yesmaximal, characteristic, complemented
7#21430100C211yesmaximal, characteristic, complemented
8#21430099C211yesmaximal, characteristic, complemented
9#21430098C211yesmaximal, characteristic, complemented
10#21430097C211yesmaximal, characteristic, complemented
11#21430096C211yesmaximal, characteristic, complemented
12#21430095C211yesmaximal, characteristic, complemented
13#21430094C211yesmaximal, characteristic, complemented
14#21430093C211yesmaximal, characteristic, complemented
15#21430092C211yesmaximal, characteristic, complemented
16#400×D59C211yesmaximal, characteristic, complemented
17#400×D59C211yesmaximal, characteristic, complemented
18#399×D59C211yesmaximal, characteristic, complemented
19#397×D59C211yesmaximal, characteristic, complemented
20#397×D59C211yesmaximal, characteristic, complemented
21#396×D59C211yesmaximal, characteristic, complemented
22#394×D59C211yesmaximal, characteristic
23#394×D59C211yesmaximal, characteristic
24#389×D59C211yesmaximal, characteristic, complemented
25#388×D59C211yesmaximal, characteristic, complemented
26#388×D59C211yesmaximal, characteristic, complemented
27#387×D59C211yesmaximal, characteristic, complemented
28#386×D59C211yesmaximal, characteristic
29#385×D59C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D59C211yesmaximal, characteristic, complemented
31C59×#2649C211yesmaximal, 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×C4⋊C4×D59C2211yescharacteristic
41C2×C4⋊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×C22⋊C4×D59C2211yescharacteristic
52C2×C22⋊C4×D59C2211yescharacteristic
53C2×C42×D59C2211yescharacteristic
54C2×C42×D59C2211yescharacteristic
55#16837344C2211yescharacteristic, complemented
56#16837344C2211yescharacteristic, complemented
57#16837344C2211yescharacteristic, complemented
58#16837344C2211yescharacteristic, complemented
59#16837343C2211yescharacteristic, complemented
60#16837343C2211yescharacteristic, complemented
61#16837343C2211yescharacteristic, complemented
62#16837343C2211yescharacteristic, complemented
63#16837342C2211yescharacteristic, complemented
64#16837342C2211yescharacteristic, complemented
65#16837341C2211yescharacteristic, complemented
66#16837341C2211yescharacteristic, complemented
67#16837340C2211yescharacteristic, complemented
68#16837340C2211yescharacteristic, complemented
69#16837339C2211yescharacteristic, complemented
70#16837338C2211yescharacteristic, complemented
71#16837338C2211yescharacteristic, complemented
72#16837338C2211yescharacteristic, complemented
73#16837337C2211yescharacteristic, complemented
74#16837337C2211yescharacteristic, complemented
75#16837337C2211yescharacteristic, complemented
76#16837331C2211yescharacteristic, complemented
77#16837331C2211yescharacteristic, complemented
78#16837331C2211yescharacteristic, complemented
79#16837331C2211yescharacteristic, complemented
80#16837330C2211yescharacteristic, complemented
81#16837330C2211yescharacteristic, complemented
82#16837330C2211yescharacteristic, complemented
83#16837330C2211yescharacteristic, complemented
84#16837329C2211yescharacteristic, complemented
85#16837329C2211yescharacteristic, complemented
86#16837328C2211yescharacteristic, complemented
87#16837328C2211yescharacteristic, complemented
88#16837327C2211yescharacteristic, complemented
89#16837327C2211yescharacteristic, complemented
90#16837326C2211yescharacteristic, complemented
91#16837325C2211yescharacteristic, complemented
92#16837325C2211yescharacteristic, complemented
93#16837325C2211yescharacteristic, complemented
94#16837324C2211yescharacteristic, complemented
95#16837324C2211yescharacteristic, complemented
96#16837324C2211yescharacteristic, complemented
97#16837320C2211yescharacteristic
98#16837320C2211yescharacteristic
99#16837319C2211yescharacteristic
100#16837319C2211yescharacteristic
101#16837318C2211yescharacteristic
102#16837318C2211yescharacteristic
103#16837318C2211yescharacteristic
104#16837318C2211yescharacteristic
105#16837317C2211yescharacteristic
106#16837317C2211yescharacteristic
107#16837317C2211yescharacteristic
108#16837317C2211yescharacteristic
109#16837316C2211yescharacteristic
110#16837316C2211yescharacteristic
111#16837301C2211yescharacteristic, complemented
112#16837300C2211yescharacteristic, complemented
113#16837299C2211yescharacteristic, complemented
114#16837299C2211yescharacteristic, complemented
115#16837298C2211yescharacteristic, complemented
116#16837297C2211yescharacteristic, complemented
117#16837297C2211yescharacteristic, complemented
118#16837296C2211yescharacteristic, complemented
119#16837296C2211yescharacteristic, complemented
120#16837295C2211yescharacteristic, complemented
121#16837295C2211yescharacteristic, complemented
122#16837294C2211yescharacteristic, complemented
123#16837294C2211yescharacteristic, complemented
124#16837293C2211yescharacteristic, complemented
125#16837293C2211yescharacteristic, complemented
126#16837292C2211yescharacteristic, complemented
127#16837292C2211yescharacteristic, complemented
128#16837291C2211yescharacteristic, complemented
129#16837291C2211yescharacteristic, complemented
130#16837290C2211yescharacteristic, complemented
131#16837290C2211yescharacteristic, complemented
132#16837289C2211yescharacteristic, complemented
133#16837288C2211yescharacteristic, complemented
134#16837287C2211yescharacteristic, complemented
135#16837286C2211yescharacteristic, complemented
136#16837285C2211yescharacteristic, complemented
137#16837284C2211yescharacteristic, complemented
138#16837283C2211yescharacteristic, complemented
139#16837282C2211yescharacteristic
140#16837281C2211yescharacteristic
141#16837280C2211yescharacteristic
142#16837280C2211yescharacteristic
143#16837279C2211yescharacteristic
144#16837278C2211yescharacteristic
145#16837278C2211yescharacteristic
146#16837277C2211yescharacteristic, complemented
147#16837276C2211yescharacteristic, complemented
148#16837276C2211yescharacteristic, complemented
149#16837275C2211yescharacteristic, complemented
150#16837274C2211yescharacteristic, complemented
151#16837273C2211yescharacteristic, complemented
152#16837273C2211yescharacteristic, complemented
153C22⋊C4×Dic59C2211yescharacteristic, complemented
154C22⋊C4×Dic59C2211yescharacteristic, complemented
155C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
156C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
157C4×C22⋊Dic59C2211yescharacteristic, complemented
158#16837249C2211yescharacteristic, complemented
159#16837249C2211yescharacteristic, 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×#400C2211yescharacteristic, complemented
174C59×#399C2211yescharacteristic, complemented
175C59×#397C2211yescharacteristic, complemented
176C59×#397C2211yescharacteristic, complemented
177C59×#396C2211yescharacteristic, complemented
178C59×#394C2211yescharacteristic
179C59×#394C2211yescharacteristic
180C59×#389C2211yescharacteristic, complemented
181C59×#388C2211yescharacteristic, complemented
182C59×#388C2211yescharacteristic, complemented
183C59×#387C2211yescharacteristic, complemented
184C59×#386C2211yescharacteristic
185C59×#385C2211yescharacteristic, complemented
186C4×C22⋊C4×C59C2211yescharacteristic, complemented
187C24×D59C2311yescharacteristic
188C24×D59C2311yescharacteristic
189C22×D236C2311yescharacteristic
190C22×C22⋊D59C2311yescharacteristic
191C22×C22⋊D59C2311yescharacteristic
192C2×D4×D59—24no—
193C2×D4×D59—42no—
194C2×D4×D59—42no—
195C23×Dic59C2311yescharacteristic
196C22×C4×D59—24no—
197C22×C4×D59—42no—
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×C4⋊Dic59C2311yescharacteristic
221C2×C4⋊Dic59C2311yescharacteristic
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
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—24no—
240C4⋊C4×D59—42no—
241C4⋊C4×D59—42no—
242C4⋊C4×D59—42no—
243C4⋊C4×D59—42no—
244C4⋊C4×D59—42no—
245C4⋊C4×D59—42no—
246C2×C22⋊Dic59C2311yescharacteristic
247C2×C22⋊Dic59C2311yescharacteristic
248C2×C22⋊Dic59C2311yescharacteristic
249C2×C22⋊Dic59C2311yescharacteristic
250C2×C22⋊Dic59C2311yescharacteristic
251C2×C22⋊Dic59C2311yescharacteristic
252C2×C22⋊Dic59C2311yescharacteristic
253C2×C22⋊Dic59C2311yescharacteristic
254C2×C22⋊Dic59C2311yescharacteristic
255C2×C22⋊Dic59C2311yescharacteristic
256C2×C22⋊Dic59C2311yescharacteristic
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
271C2×(C2×D59)⋊C4C2311yescharacteristic
272C2×(C2×D59)⋊C4C2311yescharacteristic
273C2×(C2×D59)⋊C4C2311yescharacteristic
274C2×(C2×D59)⋊C4C2311yescharacteristic
275C2×(C2×D59)⋊C4C2311yescharacteristic
276C2×(C2×D59)⋊C4C2311yescharacteristic
277C2×(C2×D59)⋊C4C2311yescharacteristic
278C2×(C2×D59)⋊C4C2311yescharacteristic
279C22⋊C4×D59—24no—
280C22⋊C4×D59—24no—
281C22⋊C4×D59—24no—
282C22⋊C4×D59—24no—
283C22⋊C4×D59—24no—
284C22⋊C4×D59—42no—
285C22⋊C4×D59—42no—
286C22⋊C4×D59—42no—
287C22⋊C4×D59—42no—
288C22⋊C4×D59—42no—
289C22⋊C4×D59—42no—
290C2×C4×Dic59C2311yescharacteristic
291C2×C4×Dic59C2311yescharacteristic
292C2×C4×Dic59C2311yescharacteristic
293C2×C4×Dic59C2311yescharacteristic
294C2×C4×Dic59C2311yescharacteristic
295C2×C4×Dic59C2311yescharacteristic
296C42×D59—42no—
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×C4⋊C4×C59C2311yescharacteristic
343C2×C4⋊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×C22⋊C4×C59C2311yescharacteristic
354C2×C22⋊C4×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—41no—
390C2×D4×C59—41no—
391C22×C4×C59—22no—
392C22×C4×C59—41no—
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—41no—
410C2×C22⋊D59—41no—
411C2×C22⋊D59—41no—
412C2×C22⋊D59—41no—
413C22×Dic59—22no—
414C22×Dic59—41no—
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—41no—
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—41no—
476C2×C4×D59—41no—
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—
485C4⋊C4×C59—41no—
486C4⋊C4×C59—41no—
487C22⋊C4×C59—22no—
488C22⋊C4×C59—22no—
489C22⋊C4×C59—22no—
490C22⋊C4×C59—22no—
491C22⋊C4×C59—22no—
492C22⋊C4×C59—41no—
493C22⋊C4×C59—41no—
494C22⋊C4×C59—41no—
495C22⋊C4×C59—41no—
496C22⋊C4×C59—41no—
497C22⋊C4×C59—41no—
498C42×C59—41no—
499C42×C59—41no—
500C22⋊Dic59—22no—
501C22⋊Dic59—22no—
502C22⋊Dic59—22no—
503C22⋊Dic59—22no—
504C22⋊Dic59—22no—
505C22⋊Dic59—41no—
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—41no—
522(C2×D59)⋊C4—41no—
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—
539C4⋊Dic59—41no—
540C4⋊Dic59—41no—
541Dic59⋊C4—22no—
542Dic59⋊C4—22no—
543Dic59⋊C4—22no—
544Dic59⋊C4—22no—
545Dic59⋊C4—41no—
546Dic59⋊C4—41no—
547Dic59⋊C4—41no—
548Dic59⋊C4—41no—
549Dic59⋊C4—41no—
550Dic59⋊C4—41no—
551Dic59⋊C4—41no—
552Dic59⋊C4—41no—
553Dic59⋊C4—41no—
554Dic59⋊C4—41no—
555Dic59⋊C4—41no—
556Dic59⋊C4—41no—
557C4×Dic59—41no—
558C4×Dic59—41no—
559C4×Dic59—41no—
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×D59H(5,𝔽2)12yes—
610C22×D59H(5,𝔽2)12yes—
611C22×D59H(5,𝔽2)12yes—
612C22×D592−1+412yes—
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—21no—
650C2×C4×C59—21no—
651C2×C4×C59—44no—
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—21no—
692C2×Dic59—21no—
693C2×Dic59—44no—
694C2×Dic59C2×#4112yes—
695C2×Dic59C2×#4112yes—
696D236—44no—
697C4×D59—28no—
698C4×D59—28no—
699C4×D59—44no—
700C4×D59—44no—
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×#2649—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×C59C2×H(5,𝔽2)11yescharacteristic
731C22×C59C2×H(5,𝔽2)11yescharacteristic
732C22×C59C2×H(5,𝔽2)11yescharacteristic
733C22×C59C2×2−1+411yescharacteristic
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#53814yes—
752C2×D59#53814yes—
753C2×D59#53914yes—
754C2×D59#53914yes—
755C2×D59#54014yes—
756C2×D59#54214yes—
757C4×C59—22no—
758C4×C59—22no—
759C4×C59—41no—
760C4×C59—41no—
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—41no—
773Dic59—41no—
774Dic59—41no—
775Dic59—41no—
776Dic59—41no—
777Dic59—41no—
778Dic59—41no—
779Dic59—41no—
780Dic59—41no—
781Dic59—41no—
782Dic59—41no—
783#2649—591no—
784#2649—591no—
785#2649—591no—
786#2649—591no—
787#2649—591no—
788#2649—591no—
789#2649—591no—
790#2649—591no—
791#2649—591no—
792#2649—591no—
793#2649—591no—
794#2649—591no—
795#2649—591no—
796#2649—591no—
797#2649—591no—
798#2649D5911yescharacteristic, direct product factor
799C2×#400—591no—
800C2×#400—591no—
801C2×#399—591no—
802C2×#397—591no—
803C2×#397—591no—
804C2×#396—591no—
805C2×#394—591no—
806C2×#394—591no—
807C2×#389—591no—
808C2×#388—591no—
809C2×#388—591no—
810C2×#387—591no—
811C2×#386—591no—
812C2×#385—591no—
813C2×C4×C22⋊C4—591no—
814C2×C59—42no—
815C2×C59—81no—
816C2×C59C2×#52911yescharacteristic
817C2×C59C2×#53811yescharacteristic
818C2×C59C2×#53811yescharacteristic
819C2×C59C2×#53911yescharacteristic
820C2×C59C2×#53911yescharacteristic
821C2×C59C2×#54011yescharacteristic
822C2×C59C2×#54211yescharacteristic
823D59—42no—
824D59—81no—
825D59#264918yesdirect 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×C4⋊C4—591no—
835C22×C4⋊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×C22⋊C4—591no—
846C22×C22⋊C4—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#400—591no—
857#400—591no—
858#400—591no—
859#400—591no—
860#400—591no—
861#400—591no—
862#400—591no—
863#400C2×D5911yescharacteristic, complemented
864#400C2×D5911yescharacteristic, complemented
865#399—591no—
866#399—591no—
867#399—591no—
868#399—591no—
869#399—591no—
870#399—591no—
871#399—591no—
872#399C2×D5911yescharacteristic, complemented
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#397—591no—
886#397—591no—
887#397C2×D5911yescharacteristic, complemented
888#397C2×D5911yescharacteristic, complemented
889#396—591no—
890#396—591no—
891#396—591no—
892#396—591no—
893#396—591no—
894#396—591no—
895#396—591no—
896#396C2×D5911yescharacteristic, complemented
897#394—591no—
898#394—591no—
899#394—591no—
900#394—591no—
901#394—591no—
902#394—591no—
903#394—591no—
904#394—591no—
905#394—591no—
906#394—591no—
907#394—591no—
908#394—591no—
909#394—591no—
910#394—591no—
911#394C2×D5911yescharacteristic
912#394C2×D5911yescharacteristic
913#389—591no—
914#389—591no—
915#389—591no—
916#389—591no—
917#389—591no—
918#389—591no—
919#389—591no—
920#389C2×D5911yescharacteristic, complemented
921#388—591no—
922#388—591no—
923#388—591no—
924#388—591no—
925#388—591no—
926#388—591no—
927#388—591no—
928#388—591no—
929#388—591no—
930#388—591no—
931#388—591no—
932#388—591no—
933#388—591no—
934#388—591no—
935#388C2×D5911yescharacteristic, complemented
936#388C2×D5911yescharacteristic, complemented
937#387—591no—
938#387—591no—
939#387—591no—
940#387—591no—
941#387—591no—
942#387—591no—
943#387—591no—
944#387C2×D5911yescharacteristic, complemented
945#386—591no—
946#386—591no—
947#386—591no—
948#386—591no—
949#386—591no—
950#386—591no—
951#386—591no—
952#386C2×D5911yescharacteristic
953#385—591no—
954#385—591no—
955#385—591no—
956#385—591no—
957#385—591no—
958#385—591no—
959#385—591no—
960#385C2×D5911yescharacteristic, complemented
961C4×C22⋊C4—591no—
962C4×C22⋊C4—591no—
963C4×C22⋊C4—591no—
964C4×C22⋊C4—591no—
965C4×C22⋊C4—591no—
966C4×C22⋊C4—591no—
967C4×C22⋊C4—591no—
968C4×C22⋊C4C2×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×#264911yescharacteristic, complemented, Sylow
982C25—591no—
983C25—591no—
984C22×D4—591no—
985C22×D4—591no—
986C22×D4—591no—
987C22×D4—1184no—
988C22×D4—2362no—
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—2362no—
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—591no—
1030C2×C4⋊C4—591no—
1031C2×C4⋊C4—591no—
1032C2×C4⋊C4—591no—
1033C2×C4⋊C4—591no—
1034C2×C4⋊C4—591no—
1035C2×C4⋊C4—1184no—
1036C2×C4⋊C4—1184no—
1037C2×C4⋊C4—2362no—
1038C2×C4⋊C4—2362no—
1039C2×C4⋊C4—2362no—
1040C2×C4⋊C4—2362no—
1041C2×C4⋊C4—2362no—
1042C2×C4⋊C4—2362no—
1043C2×C4⋊C4C22×D5911yescharacteristic
1044C2×C4⋊C4C22×D5911yescharacteristic
1045C2×C4⋊C4C22×D5911yescharacteristic
1046C2×C4⋊C4C22×D5911yescharacteristic
1047C2×C4⋊C4C22×D5911yescharacteristic
1048C2×C4⋊C4C22×D5911yescharacteristic
1049C2×C4⋊C4C22×D5911yescharacteristic
1050C2×C4⋊C4C22×D5911yescharacteristic
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—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—591no—
1083C2×C22⋊C4—591no—
1084C2×C22⋊C4—1184no—
1085C2×C22⋊C4—1184no—
1086C2×C22⋊C4—1184no—
1087C2×C22⋊C4—1184no—
1088C2×C22⋊C4—1184no—
1089C2×C22⋊C4—2362no—
1090C2×C22⋊C4—2362no—
1091C2×C22⋊C4—2362no—
1092C2×C22⋊C4—2362no—
1093C2×C22⋊C4—2362no—
1094C2×C22⋊C4—2362no—
1095C2×C22⋊C4C22×D5911yescharacteristic
1096C2×C22⋊C4C22×D5911yescharacteristic
1097C2×C22⋊C4C22×D5911yescharacteristic
1098C2×C22⋊C4C22×D5911yescharacteristic
1099C2×C22⋊C4C22×D5911yescharacteristic
1100C2×C22⋊C4C22×D5911yescharacteristic
1101C2×C22⋊C4C22×D5911yescharacteristic
1102C2×C22⋊C4C22×D5911yescharacteristic
1103C2×C22⋊C4C22×D5911yescharacteristic
1104C2×C22⋊C4C22×D5911yescharacteristic
1105C2×C22⋊C4C22×D5911yescharacteristic
1106C2×C42—591no—
1107C2×C42—591no—
1108C2×C42—591no—
1109C2×C42—591no—
1110C2×C42—591no—
1111C2×C42—591no—
1112C2×C42—2362no—
1113C2×C42—2362no—
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—41no—
1185C2×D4—41no—
1186C2×D4—1182no—
1187C2×D4—1182no—
1188C2×D4—1182no—
1189C2×D4—2361no—
1190C2×D4—2361no—
1191C2×D4—2361no—
1192C2×D4—2361no—
1193C2×D4—2361no—
1194C2×D4—2361no—
1195C2×D4—23616no—
1196C22×C4—22no—
1197C22×C4—41no—
1198C22×C4—41no—
1199C22×C4—591no—
1200C22×C4—591no—
1201C22×C4—594no—
1202C22×C4—594no—
1203C22×C4—591no—
1204C22×C4—591no—
1205C22×C4—591no—
1206C22×C4—591no—
1207C22×C4—591no—
1208C22×C4—591no—
1209C22×C4—591no—
1210C22×C4—591no—
1211C22×C4—591no—
1212C22×C4—591no—
1213C22×C4—591no—
1214C22×C4—1182no—
1215C22×C4—1182no—
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—2361no—
1255C22×C4—2361no—
1256C22×C4—2361no—
1257C22×C4—2361no—
1258C22×C4—23616no—
1259C22×C4—2361no—
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—41no—
1281C4⋊C4—41no—
1282C4⋊C4—1182no—
1283C4⋊C4—1182no—
1284C4⋊C4—1182no—
1285C4⋊C4—1182no—
1286C4⋊C4—1182no—
1287C4⋊C4—1182no—
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—
1298C4⋊C4—2361no—
1299C4⋊C4—2361no—
1300C4⋊C4—2361no—
1301C4⋊C4—2361no—
1302C4⋊C4—2361no—
1303C4⋊C4—2361no—
1304C4⋊C4—2361no—
1305C4⋊C4—2361no—
1306C22⋊C4—22no—
1307C22⋊C4—22no—
1308C22⋊C4—22no—
1309C22⋊C4—22no—
1310C22⋊C4—22no—
1311C22⋊C4—41no—
1312C22⋊C4—41no—
1313C22⋊C4—41no—
1314C22⋊C4—41no—
1315C22⋊C4—41no—
1316C22⋊C4—41no—
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—1182no—
1328C22⋊C4—1182no—
1329C22⋊C4—1182no—
1330C22⋊C4—1182no—
1331C22⋊C4—1182no—
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—
1342C22⋊C4—2361no—
1343C22⋊C4—2361no—
1344C22⋊C4—2361no—
1345C22⋊C4—2361no—
1346C22⋊C4—2361no—
1347C22⋊C4—2361no—
1348C22⋊C4—2361no—
1349C22⋊C4—2361no—
1350C42—41no—
1351C42—41no—
1352C42—2361no—
1353C42—2361no—
1354C42—2361no—
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—21no—
1448C2×C4—21no—
1449C2×C4—44no—
1450C2×C4—592no—
1451C2×C4—592no—
1452C2×C4—1188no—
1453C2×C4—1188no—
1454C2×C4—1181no—
1455C2×C4—1181no—
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—2364no—
1504C2×C4—2364no—
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
1547C22H(5,𝔽2)×D5911yescharacteristic
1548C22H(5,𝔽2)×D5911yescharacteristic
1549C22H(5,𝔽2)×D5911yescharacteristic
1550C222−1+4×D5911yescharacteristic
1551C4—22no—
1552C4—22no—
1553C4—41no—
1554C4—41no—
1555C4—41no—
1556C4—41no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C4—41no—
1561C4—41no—
1562C4—41no—
1563C4—41no—
1564C4—1182no—
1565C4—1182no—
1566C4—2361no—
1567C4—2361no—
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#538×D5911yescharacteristic
1584C2#538×D5911yescharacteristic
1585C2#539×D5911yescharacteristic
1586C2#539×D5911yescharacteristic
1587C2#540×D5911yescharacteristic
1588C2#542×D5911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2649C2
prime radicalC22×D4×D59C22
hypercenter#2649D59
hypocenterC59C2×#2649
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2649

Complements

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

NH ≅ G/Ntype
1. #21430106C2semidirect
2. #21430105C2semidirect
3. #21430104C2semidirect
4. #21430103C2semidirect
5. #21430102C2semidirect
6. #21430101C2semidirect
7. #21430100C2semidirect
8. #21430099C2semidirect
9. #21430098C2semidirect
10. #21430097C2semidirect
11. #21430096C2semidirect
12. #21430095C2semidirect
13. #21430094C2semidirect
14. #21430093C2semidirect
15. #21430092C2semidirect
16. #400×D59C2semidirect
17. #400×D59C2semidirect
18. #399×D59C2semidirect
19. #397×D59C2semidirect
20. #397×D59C2semidirect
21. #396×D59C2semidirect
24. #389×D59C2semidirect
25. #388×D59C2semidirect
26. #388×D59C2semidirect
27. #387×D59C2semidirect
29. #385×D59C2semidirect
30. C4×C22⋊C4×D59C2semidirect
31. C59×#2649C2semidirect
55. #16837344C22semidirect
56. #16837344C22semidirect
57. #16837344C22semidirect
58. #16837344C22semidirect
59. #16837343C22semidirect
60. #16837343C22semidirect
61. #16837343C22semidirect
62. #16837343C22semidirect
63. #16837342C22semidirect
64. #16837342C22semidirect
65. #16837341C22semidirect
66. #16837341C22semidirect
67. #16837340C22semidirect
68. #16837340C22semidirect
69. #16837339C22semidirect
70. #16837338C22semidirect
71. #16837338C22semidirect
72. #16837338C22semidirect
73. #16837337C22semidirect
74. #16837337C22semidirect
75. #16837337C22semidirect
76. #16837331C22semidirect
77. #16837331C22semidirect
78. #16837331C22semidirect
79. #16837331C22semidirect
80. #16837330C22semidirect
81. #16837330C22semidirect
82. #16837330C22semidirect
83. #16837330C22semidirect
84. #16837329C22semidirect
85. #16837329C22semidirect
86. #16837328C22semidirect
87. #16837328C22semidirect
88. #16837327C22semidirect
89. #16837327C22semidirect
90. #16837326C22semidirect
91. #16837325C22semidirect
92. #16837325C22semidirect
93. #16837325C22semidirect
94. #16837324C22semidirect
95. #16837324C22semidirect
96. #16837324C22semidirect
111. #16837301C22semidirect
112. #16837300C22semidirect
113. #16837299C22semidirect
114. #16837299C22semidirect
115. #16837298C22semidirect
116. #16837297C22semidirect
117. #16837297C22semidirect
118. #16837296C22semidirect
119. #16837296C22semidirect
120. #16837295C22semidirect
121. #16837295C22semidirect
122. #16837294C22semidirect
123. #16837294C22semidirect
124. #16837293C22semidirect
125. #16837293C22semidirect
126. #16837292C22semidirect
127. #16837292C22semidirect
128. #16837291C22semidirect
129. #16837291C22semidirect
130. #16837290C22semidirect
131. #16837290C22semidirect
132. #16837289C22semidirect
133. #16837288C22semidirect
134. #16837287C22semidirect
135. #16837286C22semidirect
136. #16837285C22semidirect
137. #16837284C22semidirect
138. #16837283C22semidirect
146. #16837277C22semidirect
147. #16837276C22semidirect
148. #16837276C22semidirect
149. #16837275C22semidirect
150. #16837274C22semidirect
151. #16837273C22semidirect
152. #16837273C22semidirect
153. C22⋊C4×Dic59C22semidirect
154. C22⋊C4×Dic59C22semidirect
155. C4×(C2×D59)⋊C4C22semidirect
156. C4×(C2×D59)⋊C4C22semidirect
157. C4×C22⋊Dic59C22semidirect
158. #16837249C22semidirect
159. #16837249C22semidirect
172. C59×#400C22semidirect
173. C59×#400C22semidirect
174. C59×#399C22semidirect
175. C59×#397C22semidirect
176. C59×#397C22semidirect
177. C59×#396C22semidirect
180. C59×#389C22semidirect
181. C59×#388C22semidirect
182. C59×#388C22semidirect
183. C59×#387C22semidirect
185. C59×#385C22semidirect
186. C4×C22⋊C4×C59C22semidirect
798. #2649D59direct (N × H)
825. D59#2649direct (N × H)
863. #400C2×D59semidirect
864. #400C2×D59semidirect
872. #399C2×D59semidirect
887. #397C2×D59semidirect
888. #397C2×D59semidirect
896. #396C2×D59semidirect
920. #389C2×D59semidirect
935. #388C2×D59semidirect
936. #388C2×D59semidirect
944. #387C2×D59semidirect
960. #385C2×D59semidirect
968. C4×C22⋊C4C2×D59semidirect
981. C59C2×#2649semidirect

Maximal subgroups

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

subgroupindex
#214301062
#214301052
#214301042
#214301032
#214301022
#214301012
#214301002
#214300992
#214300982
#214300972
#214300962
#214300952
#214300942
#214300932
#214300922
#400×D592
#399×D592
#397×D592
#396×D592
#394×D592
#389×D592
#388×D592
#387×D592
#386×D592
#385×D592
C4×C22⋊C4×D592
C59×#26492
C2×#264959