Finite Group Databasebeta

← D59×#2648 #28755144

Subgroups — D59×#2648 #28755144

Order 15104.

2654 conjugacy classes of subgroups.

The subgroup lattice has 1736 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21430091C211yesmaximal, characteristic, complemented
2#21430090C211yesmaximal, characteristic, complemented
3#21430089C211yesmaximal, characteristic, complemented
4#21430088C211yesmaximal, characteristic, complemented
5#21430087C211yesmaximal, characteristic, complemented
6#21430086C211yesmaximal, characteristic, complemented
7#21430085C211yesmaximal, characteristic, complemented
8#21430084C211yesmaximal, characteristic, complemented
9#21430083C211yesmaximal, characteristic, complemented
10#21430082C211yesmaximal, characteristic, complemented
11#21430081C211yesmaximal, characteristic, complemented
12#21430080C211yesmaximal, characteristic, complemented
13#21430079C211yesmaximal, characteristic, complemented
14#21430078C211yesmaximal, characteristic, complemented
15#21430077C211yesmaximal, characteristic, complemented
16#400×D59C211yesmaximal, characteristic, complemented
17#397×D59C211yesmaximal, characteristic, complemented
18#397×D59C211yesmaximal, characteristic, complemented
19#396×D59C211yesmaximal, characteristic, complemented
20#394×D59C211yesmaximal, characteristic, complemented
21#394×D59C211yesmaximal, characteristic, complemented
22#394×D59C211yesmaximal, characteristic, complemented
23#392×D59C211yesmaximal, characteristic
24#390×D59C211yesmaximal, characteristic, complemented
25#388×D59C211yesmaximal, characteristic, complemented
26#388×D59C211yesmaximal, characteristic, complemented
27#387×D59C211yesmaximal, characteristic, complemented
28#386×D59C211yesmaximal, characteristic, complemented
29#386×D59C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D59C211yesmaximal, characteristic, complemented
31C59×#2648C211yesmaximal, characteristic, complemented
32C22×D4×D59C2211yescharacteristic
33C22×D4×D59C2211yescharacteristic
34C22×D4×D59C2211yescharacteristic
35C23×C4×D59C2211yescharacteristic
36C2×C4⋊C4×D59C2211yescharacteristic
37C2×C4⋊C4×D59C2211yescharacteristic
38C2×C4⋊C4×D59C2211yescharacteristic
39C2×C4⋊C4×D59C2211yescharacteristic
40C2×C4⋊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×C22⋊C4×D59C2211yescharacteristic
52C2×C22⋊C4×D59C2211yescharacteristic
53C2×C22⋊C4×D59C2211yescharacteristic
54C2×C22⋊C4×D59C2211yescharacteristic
55C2×C42×D59C2211yescharacteristic
56C2×C42×D59C2211yescharacteristic
57#16837344C2211yescharacteristic, complemented
58#16837344C2211yescharacteristic, complemented
59#16837343C2211yescharacteristic, complemented
60#16837343C2211yescharacteristic, complemented
61#16837342C2211yescharacteristic, complemented
62#16837341C2211yescharacteristic, complemented
63#16837340C2211yescharacteristic, complemented
64#16837331C2211yescharacteristic, complemented
65#16837331C2211yescharacteristic, complemented
66#16837331C2211yescharacteristic, complemented
67#16837331C2211yescharacteristic, complemented
68#16837330C2211yescharacteristic, complemented
69#16837330C2211yescharacteristic, complemented
70#16837330C2211yescharacteristic, complemented
71#16837330C2211yescharacteristic, complemented
72#16837329C2211yescharacteristic, complemented
73#16837329C2211yescharacteristic, complemented
74#16837328C2211yescharacteristic, complemented
75#16837328C2211yescharacteristic, complemented
76#16837327C2211yescharacteristic, complemented
77#16837327C2211yescharacteristic, complemented
78#16837326C2211yescharacteristic, complemented
79#16837325C2211yescharacteristic, complemented
80#16837325C2211yescharacteristic, complemented
81#16837325C2211yescharacteristic, complemented
82#16837324C2211yescharacteristic, complemented
83#16837324C2211yescharacteristic, complemented
84#16837324C2211yescharacteristic, complemented
85#16837320C2211yescharacteristic, complemented
86#16837320C2211yescharacteristic, complemented
87#16837320C2211yescharacteristic, complemented
88#16837319C2211yescharacteristic, complemented
89#16837319C2211yescharacteristic, complemented
90#16837319C2211yescharacteristic, complemented
91#16837318C2211yescharacteristic, complemented
92#16837318C2211yescharacteristic, complemented
93#16837318C2211yescharacteristic, complemented
94#16837318C2211yescharacteristic, complemented
95#16837318C2211yescharacteristic, complemented
96#16837318C2211yescharacteristic, complemented
97#16837317C2211yescharacteristic, complemented
98#16837317C2211yescharacteristic, complemented
99#16837317C2211yescharacteristic, complemented
100#16837317C2211yescharacteristic, complemented
101#16837317C2211yescharacteristic, complemented
102#16837317C2211yescharacteristic, complemented
103#16837316C2211yescharacteristic, complemented
104#16837316C2211yescharacteristic, complemented
105#16837316C2211yescharacteristic, complemented
106#16837312C2211yescharacteristic
107#16837311C2211yescharacteristic
108#16837311C2211yescharacteristic
109#16837311C2211yescharacteristic
110#16837310C2211yescharacteristic
111#16837310C2211yescharacteristic
112#16837310C2211yescharacteristic
113#16837305C2211yescharacteristic, complemented
114#16837304C2211yescharacteristic, complemented
115#16837303C2211yescharacteristic, complemented
116#16837302C2211yescharacteristic, complemented
117#16837302C2211yescharacteristic, complemented
118#16837302C2211yescharacteristic, complemented
119#16837302C2211yescharacteristic, complemented
120#16837296C2211yescharacteristic, complemented
121#16837296C2211yescharacteristic, complemented
122#16837295C2211yescharacteristic, complemented
123#16837295C2211yescharacteristic, complemented
124#16837294C2211yescharacteristic, complemented
125#16837294C2211yescharacteristic, complemented
126#16837293C2211yescharacteristic, complemented
127#16837293C2211yescharacteristic, complemented
128#16837292C2211yescharacteristic, complemented
129#16837292C2211yescharacteristic, complemented
130#16837291C2211yescharacteristic, complemented
131#16837291C2211yescharacteristic, complemented
132#16837290C2211yescharacteristic, complemented
133#16837290C2211yescharacteristic, complemented
134#16837289C2211yescharacteristic, complemented
135#16837288C2211yescharacteristic, complemented
136#16837287C2211yescharacteristic, complemented
137#16837286C2211yescharacteristic, complemented
138#16837285C2211yescharacteristic, complemented
139#16837284C2211yescharacteristic, complemented
140#16837283C2211yescharacteristic, complemented
141#16837282C2211yescharacteristic, complemented
142#16837282C2211yescharacteristic, complemented
143#16837281C2211yescharacteristic, complemented
144#16837281C2211yescharacteristic, complemented
145#16837280C2211yescharacteristic, complemented
146#16837280C2211yescharacteristic, complemented
147#16837280C2211yescharacteristic, complemented
148#16837280C2211yescharacteristic, complemented
149#16837279C2211yescharacteristic, complemented
150#16837279C2211yescharacteristic, complemented
151#16837278C2211yescharacteristic, complemented
152#16837278C2211yescharacteristic, complemented
153#16837278C2211yescharacteristic, complemented
154#16837278C2211yescharacteristic, complemented
155C22⋊C4×Dic59C2211yescharacteristic, complemented
156C22⋊C4×Dic59C2211yescharacteristic, complemented
157C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
158C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
159C4×C22⋊Dic59C2211yescharacteristic, complemented
160#16837249C2211yescharacteristic, complemented
161#16837249C2211yescharacteristic, complemented
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×#397C2211yescharacteristic, complemented
175C59×#396C2211yescharacteristic, complemented
176C59×#394C2211yescharacteristic, complemented
177C59×#394C2211yescharacteristic, complemented
178C59×#394C2211yescharacteristic, complemented
179C59×#392C2211yescharacteristic
180C59×#390C2211yescharacteristic, complemented
181C59×#388C2211yescharacteristic, complemented
182C59×#388C2211yescharacteristic, complemented
183C59×#387C2211yescharacteristic, complemented
184C59×#386C2211yescharacteristic, complemented
185C59×#386C2211yescharacteristic, complemented
186C4×C22⋊C4×C59C2211yescharacteristic, complemented
187C24×D59C2311yescharacteristic
188C24×D59C2311yescharacteristic
189C24×D59C2311yescharacteristic
190C22×D236C2311yescharacteristic
191C22×D236C2311yescharacteristic
192C22×D236C2311yescharacteristic
193C22×C22⋊D59C2311yescharacteristic
194C22×C22⋊D59C2311yescharacteristic
195C22×C22⋊D59C2311yescharacteristic
196C22×C22⋊D59C2311yescharacteristic
197C22×C22⋊D59C2311yescharacteristic
198C22×C22⋊D59C2311yescharacteristic
199C2×D4×D59—24no—
200C2×D4×D59—24no—
201C2×D4×D59—24no—
202C2×D4×D59—42no—
203C2×D4×D59—42no—
204C2×D4×D59—42no—
205C2×D4×D59—42no—
206C2×D4×D59—42no—
207C2×D4×D59—42no—
208C23×Dic59C2311yescharacteristic
209C22×C4×D59—24no—
210C22×C4×D59—42no—
211C22×C4×D59—42no—
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×C4⋊Dic59C2311yescharacteristic
231C2×Dic59⋊C4C2311yescharacteristic
232C2×Dic59⋊C4C2311yescharacteristic
233C2×Dic59⋊C4C2311yescharacteristic
234C2×Dic59⋊C4C2311yescharacteristic
235C2×Dic59⋊C4C2311yescharacteristic
236C2×Dic59⋊C4C2311yescharacteristic
237C2×Dic59⋊C4C2311yescharacteristic
238C2×Dic59⋊C4C2311yescharacteristic
239C2×Dic59⋊C4C2311yescharacteristic
240C2×Dic59⋊C4C2311yescharacteristic
241C4⋊C4×D59—24no—
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×C22⋊Dic59C2311yescharacteristic
258C2×C22⋊Dic59C2311yescharacteristic
259C2×C22⋊Dic59C2311yescharacteristic
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
279C2×(C2×D59)⋊C4C2311yescharacteristic
280C2×(C2×D59)⋊C4C2311yescharacteristic
281C2×(C2×D59)⋊C4C2311yescharacteristic
282C2×(C2×D59)⋊C4C2311yescharacteristic
283C2×(C2×D59)⋊C4C2311yescharacteristic
284C2×(C2×D59)⋊C4C2311yescharacteristic
285C2×(C2×D59)⋊C4C2311yescharacteristic
286C2×(C2×D59)⋊C4C2311yescharacteristic
287C2×(C2×D59)⋊C4C2311yescharacteristic
288C22⋊C4×D59—24no—
289C22⋊C4×D59—24no—
290C22⋊C4×D59—24no—
291C22⋊C4×D59—24no—
292C22⋊C4×D59—42no—
293C22⋊C4×D59—42no—
294C22⋊C4×D59—42no—
295C22⋊C4×D59—42no—
296C22⋊C4×D59—42no—
297C22⋊C4×D59—42no—
298C22⋊C4×D59—42no—
299C22⋊C4×D59—42no—
300C22⋊C4×D59—42no—
301C22⋊C4×D59—42no—
302C2×C4×Dic59C2311yescharacteristic
303C2×C4×Dic59C2311yescharacteristic
304C2×C4×Dic59C2311yescharacteristic
305C2×C4×Dic59C2311yescharacteristic
306C2×C4×Dic59C2311yescharacteristic
307C2×C4×Dic59C2311yescharacteristic
308C42×D59—42no—
309C42×D59—42no—
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
334C59⋊#95C2311yescharacteristic
335C59⋊#95C2311yescharacteristic
336C59⋊#95C2311yescharacteristic
337C59⋊#95C2311yescharacteristic
338C59⋊#95C2311yescharacteristic
339C59⋊#95C2311yescharacteristic
340C22×D4×C59C2311yescharacteristic
341C22×D4×C59C2311yescharacteristic
342C22×D4×C59C2311yescharacteristic
343C23×C4×C59C2311yescharacteristic
344C2×C4⋊C4×C59C2311yescharacteristic
345C2×C4⋊C4×C59C2311yescharacteristic
346C2×C4⋊C4×C59C2311yescharacteristic
347C2×C4⋊C4×C59C2311yescharacteristic
348C2×C4⋊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×C22⋊C4×C59C2311yescharacteristic
356C2×C22⋊C4×C59C2311yescharacteristic
357C2×C22⋊C4×C59C2311yescharacteristic
358C2×C22⋊C4×C59C2311yescharacteristic
359C2×C22⋊C4×C59C2311yescharacteristic
360C2×C22⋊C4×C59C2311yescharacteristic
361C2×C22⋊C4×C59C2311yescharacteristic
362C2×C22⋊C4×C59C2311yescharacteristic
363C2×C42×C59C2311yescharacteristic
364C2×C42×C59C2311yescharacteristic
365#95×C59C2311yescharacteristic
366#95×C59C2311yescharacteristic
367#95×C59C2311yescharacteristic
368#95×C59C2311yescharacteristic
369#95×C59C2311yescharacteristic
370#95×C59C2311yescharacteristic
371#95×C59C2311yescharacteristic
372#95×C59C2311yescharacteristic
373#95×C59C2311yescharacteristic
374#95×C59C2311yescharacteristic
375C24×C59C2411yescharacteristic
376C24×C59C2411yescharacteristic
377C24×C59C2411yescharacteristic
378C23×D59—22no—
379C23×D59—22no—
380C23×D59—22no—
381C23×D59—22no—
382C23×D59—22no—
383C23×D59—22no—
384C23×D59—22no—
385C23×D59—22no—
386C23×D59—22no—
387C23×D59—22no—
388C23×D59—22no—
389C23×D59—22no—
390C23×D59—22no—
391C23×D59—22no—
392C23×D59—22no—
393C23×D59—22no—
394C23×D59—22no—
395C23×D59—22no—
396C23×D59—22no—
397C23×D59—22no—
398C23×D59#4114yes—
399C23×D59C2411yescharacteristic
400C23×D59C2411yescharacteristic
401C23×D59C2411yescharacteristic
402C23×D59C2411yescharacteristic
403C2×D4×C59—22no—
404C2×D4×C59—22no—
405C2×D4×C59—22no—
406C2×D4×C59—41no—
407C2×D4×C59—41no—
408C2×D4×C59—41no—
409C2×D4×C59—41no—
410C2×D4×C59—41no—
411C2×D4×C59—41no—
412C22×C4×C59—22no—
413C22×C4×C59—41no—
414C22×C4×C59—41no—
415C22×C4×C59C2411yescharacteristic
416C22×C4×C59C2411yescharacteristic
417C22×C4×C59C2411yescharacteristic
418C22×C4×C59C2411yescharacteristic
419C22×C4×C59C2411yescharacteristic
420C22×C4×C59C2411yescharacteristic
421C22×C4×C59C2411yescharacteristic
422C22×C4×C59C2411yescharacteristic
423C22×C4×C59C2411yescharacteristic
424C22×C4×C59C2411yescharacteristic
425C22×C4×C59C2411yescharacteristic
426C22×C4×C59C2411yescharacteristic
427C2×C22⋊D59—22no—
428C2×C22⋊D59—22no—
429C2×C22⋊D59—22no—
430C2×C22⋊D59—22no—
431C2×C22⋊D59—22no—
432C2×C22⋊D59—22no—
433C2×C22⋊D59—41no—
434C2×C22⋊D59—41no—
435C2×C22⋊D59—41no—
436C2×C22⋊D59—41no—
437C2×C22⋊D59—41no—
438C2×C22⋊D59—41no—
439C2×C22⋊D59—41no—
440C2×C22⋊D59—41no—
441C2×C22⋊D59—41no—
442C2×C22⋊D59—41no—
443C2×C22⋊D59—41no—
444C2×C22⋊D59—41no—
445C22×Dic59—22no—
446C22×Dic59—41no—
447C22×Dic59—41no—
448C22×Dic59C2411yescharacteristic
449C22×Dic59C2411yescharacteristic
450C22×Dic59C2411yescharacteristic
451C22×Dic59C2411yescharacteristic
452C22×Dic59C2411yescharacteristic
453C22×Dic59C2411yescharacteristic
454C22×Dic59C2411yescharacteristic
455C22×Dic59C2411yescharacteristic
456C22×Dic59C2411yescharacteristic
457C22×Dic59C2411yescharacteristic
458C22×Dic59C2411yescharacteristic
459C22×Dic59C2411yescharacteristic
460D4×D59—416no—
461D4×D59—416no—
462D4×D59—416no—
463C2×D236—22no—
464C2×D236—22no—
465C2×D236—22no—
466C2×D236—41no—
467C2×D236—41no—
468C2×D236—41no—
469C2×D236—41no—
470C2×D236—41no—
471C2×D236—41no—
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—22no—
493C2×C4×D59—22no—
494C2×C4×D59—22no—
495C2×C4×D59—22no—
496C2×C4×D59—22no—
497C2×C4×D59—22no—
498C2×C4×D59—22no—
499C2×C4×D59—22no—
500C2×C4×D59—22no—
501C2×C4×D59—22no—
502C2×C4×D59—22no—
503C2×C4×D59—22no—
504C2×C4×D59—22no—
505C2×C4×D59—22no—
506C2×C4×D59—22no—
507C2×C4×D59—22no—
508C2×C4×D59—416no—
509C2×C4×D59—41no—
510C2×C4×D59—41no—
511C2×C4×D59—41no—
512C2×C4×D59—41no—
513C2×C4×D59#4114yes—
514C2×C4×D59#4114yes—
515C4⋊C4×C59—22no—
516C4⋊C4×C59—41no—
517C4⋊C4×C59—41no—
518C4⋊C4×C59—41no—
519C4⋊C4×C59—41no—
520C22⋊C4×C59—22no—
521C22⋊C4×C59—22no—
522C22⋊C4×C59—22no—
523C22⋊C4×C59—22no—
524C22⋊C4×C59—41no—
525C22⋊C4×C59—41no—
526C22⋊C4×C59—41no—
527C22⋊C4×C59—41no—
528C22⋊C4×C59—41no—
529C22⋊C4×C59—41no—
530C22⋊C4×C59—41no—
531C22⋊C4×C59—41no—
532C22⋊C4×C59—41no—
533C22⋊C4×C59—41no—
534C42×C59—41no—
535C42×C59—41no—
536C22⋊Dic59—22no—
537C22⋊Dic59—22no—
538C22⋊Dic59—22no—
539C22⋊Dic59—22no—
540C22⋊Dic59—41no—
541C22⋊Dic59—41no—
542C22⋊Dic59—41no—
543C22⋊Dic59—41no—
544C22⋊Dic59—41no—
545C22⋊Dic59—41no—
546C22⋊Dic59—41no—
547C22⋊Dic59—41no—
548C22⋊Dic59—41no—
549C22⋊Dic59—41no—
550(C2×D59)⋊C4—22no—
551(C2×D59)⋊C4—22no—
552(C2×D59)⋊C4—22no—
553(C2×D59)⋊C4—22no—
554(C2×D59)⋊C4—22no—
555(C2×D59)⋊C4—22no—
556(C2×D59)⋊C4—22no—
557(C2×D59)⋊C4—22no—
558(C2×D59)⋊C4—41no—
559(C2×D59)⋊C4—41no—
560(C2×D59)⋊C4—41no—
561(C2×D59)⋊C4—41no—
562(C2×D59)⋊C4—41no—
563(C2×D59)⋊C4—41no—
564(C2×D59)⋊C4—41no—
565(C2×D59)⋊C4—41no—
566(C2×D59)⋊C4—41no—
567(C2×D59)⋊C4—41no—
568(C2×D59)⋊C4—41no—
569(C2×D59)⋊C4—41no—
570(C2×D59)⋊C4—41no—
571(C2×D59)⋊C4—41no—
572(C2×D59)⋊C4—41no—
573(C2×D59)⋊C4—41no—
574(C2×D59)⋊C4—41no—
575(C2×D59)⋊C4—41no—
576(C2×D59)⋊C4—41no—
577(C2×D59)⋊C4—41no—
578C4⋊Dic59—22no—
579C4⋊Dic59—41no—
580C4⋊Dic59—41no—
581C4⋊Dic59—41no—
582C4⋊Dic59—41no—
583Dic59⋊C4—22no—
584Dic59⋊C4—22no—
585Dic59⋊C4—41no—
586Dic59⋊C4—41no—
587Dic59⋊C4—41no—
588Dic59⋊C4—41no—
589Dic59⋊C4—41no—
590Dic59⋊C4—41no—
591Dic59⋊C4—41no—
592Dic59⋊C4—41no—
593C4×Dic59—41no—
594C4×Dic59—41no—
595C4×Dic59—41no—
596C4×Dic59—41no—
597C4×Dic59—41no—
598C4×Dic59—41no—
599C23×C59—21no—
600C23×C59—21no—
601C23×C59—21no—
602C23×C59—21no—
603C23×C59—21no—
604C23×C59—21no—
605C23×C59—21no—
606C23×C59—21no—
607C23×C59—21no—
608C23×C59—21no—
609C23×C59—21no—
610C23×C59—21no—
611C23×C59—21no—
612C23×C59—21no—
613C23×C59—21no—
614C23×C59—21no—
615C23×C59—21no—
616C23×C59—21no—
617C23×C59—21no—
618C23×C59—21no—
619C23×C59C2×#4112yes—
620C23×C59C2511yescharacteristic
621C22×D59—21no—
622C22×D59—21no—
623C22×D59—21no—
624C22×D59—21no—
625C22×D59—21no—
626C22×D59—21no—
627C22×D59—28no—
628C22×D59—28no—
629C22×D59—28no—
630C22×D59—21no—
631C22×D59—21no—
632C22×D59—21no—
633C22×D59—21no—
634C22×D59—21no—
635C22×D59—21no—
636C22×D59—21no—
637C22×D59—21no—
638C22×D59—21no—
639C22×D59—21no—
640C22×D59—21no—
641C22×D59—21no—
642C22×D59—21no—
643C22×D59—21no—
644C22×D59—44no—
645C22×D59—44no—
646C22×D59—44no—
647C22×D59—44no—
648C22×D59—44no—
649C22×D59—44no—
650C22×D59—44no—
651C22×D59—44no—
652C22×D59—44no—
653C22×D59—44no—
654C22×D59—44no—
655C22×D59—44no—
656C22×D59—44no—
657C22×D59—44no—
658C22×D59—44no—
659C22×D59—44no—
660C22×D59—44no—
661C22×D59—44no—
662C22×D59C2×#4112yes—
663C22×D59C2×#4112yes—
664C22×D59C2×#4112yes—
665C22×D59C2×#4112yes—
666C22×D59H(5,𝔽2)12yes—
667C22×D59H(5,𝔽2)12yes—
668C22×D59H(5,𝔽2)12yes—
669C22×D59H(5,𝔽2)12yes—
670D4×C59—44no—
671D4×C59—44no—
672D4×C59—44no—
673C2×C4×C59—21no—
674C2×C4×C59—21no—
675C2×C4×C59—21no—
676C2×C4×C59—21no—
677C2×C4×C59—21no—
678C2×C4×C59—21no—
679C2×C4×C59—21no—
680C2×C4×C59—21no—
681C2×C4×C59—21no—
682C2×C4×C59—21no—
683C2×C4×C59—21no—
684C2×C4×C59—21no—
685C2×C4×C59—21no—
686C2×C4×C59—21no—
687C2×C4×C59—21no—
688C2×C4×C59—21no—
689C2×C4×C59—21no—
690C2×C4×C59—21no—
691C2×C4×C59—21no—
692C2×C4×C59—21no—
693C2×C4×C59—21no—
694C2×C4×C59—21no—
695C2×C4×C59—21no—
696C2×C4×C59—21no—
697C2×C4×C59—21no—
698C2×C4×C59—21no—
699C2×C4×C59—21no—
700C2×C4×C59—21no—
701C2×C4×C59—21no—
702C2×C4×C59—21no—
703C2×C4×C59—21no—
704C2×C4×C59—21no—
705C2×C4×C59—21no—
706C2×C4×C59—21no—
707C2×C4×C59—44no—
708C2×C4×C59C2×#4112yes—
709C2×C4×C59C2×#4112yes—
710C22⋊D59—44no—
711C22⋊D59—44no—
712C22⋊D59—44no—
713C22⋊D59—44no—
714C22⋊D59—44no—
715C22⋊D59—44no—
716C2×Dic59—21no—
717C2×Dic59—21no—
718C2×Dic59—21no—
719C2×Dic59—21no—
720C2×Dic59—21no—
721C2×Dic59—21no—
722C2×Dic59—21no—
723C2×Dic59—21no—
724C2×Dic59—21no—
725C2×Dic59—21no—
726C2×Dic59—21no—
727C2×Dic59—21no—
728C2×Dic59—21no—
729C2×Dic59—21no—
730C2×Dic59—21no—
731C2×Dic59—21no—
732C2×Dic59—21no—
733C2×Dic59—21no—
734C2×Dic59—21no—
735C2×Dic59—21no—
736C2×Dic59—21no—
737C2×Dic59—21no—
738C2×Dic59—21no—
739C2×Dic59—21no—
740C2×Dic59—21no—
741C2×Dic59—21no—
742C2×Dic59—21no—
743C2×Dic59—21no—
744C2×Dic59—21no—
745C2×Dic59—21no—
746C2×Dic59—21no—
747C2×Dic59—21no—
748C2×Dic59—21no—
749C2×Dic59—21no—
750C2×Dic59—44no—
751C2×Dic59C2×#4112yes—
752C2×Dic59C2×#4112yes—
753D236—44no—
754D236—44no—
755D236—44no—
756C4×D59—28no—
757C4×D59—28no—
758C4×D59—44no—
759C4×D59—44no—
760C4×D59—44no—
761C4×D59—44no—
762C4×D59—44no—
763C4×D59—44no—
764C4×D59—44no—
765C4×D59—44no—
766C4×D59—44no—
767C4×D59—44no—
768C4×D59—44no—
769C4×D59—44no—
770C2×#2648—591nomaximal, Sylow
771C22×C59—22no—
772C22×C59—22no—
773C22×C59—22no—
774C22×C59—41no—
775C22×C59—41no—
776C22×C59—41no—
777C22×C59—41no—
778C22×C59—41no—
779C22×C59—41no—
780C22×C59—41no—
781C22×C59—41no—
782C22×C59—41no—
783C22×C59—41no—
784C22×C59—41no—
785C22×C59—41no—
786C22×C59—41no—
787C22×C59—41no—
788C22×C59—41no—
789C22×C59—41no—
790C22×C59—41no—
791C22×C59—41no—
792C22×C59C22×#4111yescharacteristic
793C22×C59C22×#4111yescharacteristic
794C22×C59C22×#4111yescharacteristic
795C22×C59C2×H(5,𝔽2)11yescharacteristic
796C22×C59C2×H(5,𝔽2)11yescharacteristic
797C22×C59C2×H(5,𝔽2)11yescharacteristic
798C22×C59C2×H(5,𝔽2)11yescharacteristic
799C2×D59—22no—
800C2×D59—22no—
801C2×D59—22no—
802C2×D59—41no—
803C2×D59—41no—
804C2×D59—41no—
805C2×D59—41no—
806C2×D59—416no—
807C2×D59—41no—
808C2×D59—41no—
809C2×D59—41no—
810C2×D59—41no—
811C2×D59—41no—
812C2×D59—41no—
813C2×D59—41no—
814C2×D59—41no—
815C2×D59—41no—
816C2×D59—41no—
817C2×D59—41no—
818C2×D59—41no—
819C2×D59—41no—
820C2×D59—41no—
821C2×D59—88no—
822C2×D59—88no—
823C2×D59#52914yes—
824C2×D59#53814yes—
825C2×D59#53814yes—
826C2×D59#53814yes—
827C2×D59#53814yes—
828C2×D59#54014yes—
829C2×D59#54014yes—
830C4×C59—22no—
831C4×C59—22no—
832C4×C59—41no—
833C4×C59—41no—
834C4×C59—41no—
835C4×C59—41no—
836C4×C59—41no—
837C4×C59—41no—
838C4×C59—41no—
839C4×C59—41no—
840C4×C59—41no—
841C4×C59—41no—
842Dic59—22no—
843Dic59—22no—
844Dic59—41no—
845Dic59—41no—
846Dic59—41no—
847Dic59—41no—
848Dic59—41no—
849Dic59—41no—
850Dic59—41no—
851Dic59—41no—
852Dic59—41no—
853Dic59—41no—
854#2648—591no—
855#2648—591no—
856#2648—591no—
857#2648—591no—
858#2648—591no—
859#2648—591no—
860#2648—591no—
861#2648—591no—
862#2648—591no—
863#2648—591no—
864#2648—591no—
865#2648—591no—
866#2648—591no—
867#2648—591no—
868#2648—591no—
869#2648D5911yescharacteristic, direct product factor
870C2×#400—591no—
871C2×#397—591no—
872C2×#397—591no—
873C2×#396—591no—
874C2×#394—591no—
875C2×#394—591no—
876C2×#394—591no—
877C2×#392—591no—
878C2×#390—591no—
879C2×#388—591no—
880C2×#388—591no—
881C2×#387—591no—
882C2×#386—591no—
883C2×#386—591no—
884C2×C4×C22⋊C4—591no—
885C2×C59—42no—
886C2×C59—81no—
887C2×C59—81no—
888C2×C59C2×#52911yescharacteristic
889C2×C59C2×#53811yescharacteristic
890C2×C59C2×#53811yescharacteristic
891C2×C59C2×#53811yescharacteristic
892C2×C59C2×#53811yescharacteristic
893C2×C59C2×#54011yescharacteristic
894C2×C59C2×#54011yescharacteristic
895D59—42no—
896D59—81no—
897D59—81no—
898D59#264818yesdirect product factor
899C23×D4—591no—
900C23×D4—591no—
901C23×D4—591no—
902C24×C4—591no—
903C22×C4⋊C4—591no—
904C22×C4⋊C4—591no—
905C22×C4⋊C4—591no—
906C22×C4⋊C4—591no—
907C22×C4⋊C4—591no—
908C22×C22⋊C4—591no—
909C22×C22⋊C4—591no—
910C22×C22⋊C4—591no—
911C22×C22⋊C4—591no—
912C22×C22⋊C4—591no—
913C22×C22⋊C4—591no—
914C22×C22⋊C4—591no—
915C22×C22⋊C4—591no—
916C22×C22⋊C4—591no—
917C22×C22⋊C4—591no—
918C22×C22⋊C4—591no—
919C22×C22⋊C4—591no—
920C22×C22⋊C4—591no—
921C22×C22⋊C4—591no—
922C22×C42—591no—
923C22×C42—591no—
924#400—591no—
925#400—591no—
926#400—591no—
927#400—591no—
928#400—591no—
929#400—591no—
930#400—591no—
931#400C2×D5911yescharacteristic, complemented
932#397—591no—
933#397—591no—
934#397—591no—
935#397—591no—
936#397—591no—
937#397—591no—
938#397—591no—
939#397—591no—
940#397—591no—
941#397—591no—
942#397—591no—
943#397—591no—
944#397—591no—
945#397—591no—
946#397C2×D5911yescharacteristic, complemented
947#397C2×D5911yescharacteristic, complemented
948#396—591no—
949#396—591no—
950#396—591no—
951#396—591no—
952#396—591no—
953#396—591no—
954#396—591no—
955#396C2×D5911yescharacteristic, complemented
956#394—591no—
957#394—591no—
958#394—591no—
959#394—591no—
960#394—591no—
961#394—591no—
962#394—591no—
963#394—591no—
964#394—591no—
965#394—591no—
966#394—591no—
967#394—591no—
968#394—591no—
969#394—591no—
970#394—591no—
971#394—591no—
972#394—591no—
973#394—591no—
974#394—591no—
975#394—591no—
976#394—591no—
977#394C2×D5911yescharacteristic, complemented
978#394C2×D5911yescharacteristic, complemented
979#394C2×D5911yescharacteristic, complemented
980#392—591no—
981#392—591no—
982#392—591no—
983#392—591no—
984#392—591no—
985#392—591no—
986#392—591no—
987#392C2×D5911yescharacteristic
988#390—591no—
989#390—591no—
990#390—591no—
991#390—591no—
992#390—591no—
993#390—591no—
994#390—591no—
995#390C2×D5911yescharacteristic, complemented
996#388—591no—
997#388—591no—
998#388—591no—
999#388—591no—
1000#388—591no—
1001#388—591no—
1002#388—591no—
1003#388—591no—
1004#388—591no—
1005#388—591no—
1006#388—591no—
1007#388—591no—
1008#388—591no—
1009#388—591no—
1010#388C2×D5911yescharacteristic, complemented
1011#388C2×D5911yescharacteristic, complemented
1012#387—591no—
1013#387—591no—
1014#387—591no—
1015#387—591no—
1016#387—591no—
1017#387—591no—
1018#387—591no—
1019#387C2×D5911yescharacteristic, complemented
1020#386—591no—
1021#386—591no—
1022#386—591no—
1023#386—591no—
1024#386—591no—
1025#386—591no—
1026#386—591no—
1027#386—591no—
1028#386—591no—
1029#386—591no—
1030#386—591no—
1031#386—591no—
1032#386—591no—
1033#386—591no—
1034#386C2×D5911yescharacteristic, complemented
1035#386C2×D5911yescharacteristic, complemented
1036C4×C22⋊C4—591no—
1037C4×C22⋊C4—591no—
1038C4×C22⋊C4—591no—
1039C4×C22⋊C4—591no—
1040C4×C22⋊C4—591no—
1041C4×C22⋊C4—591no—
1042C4×C22⋊C4—591no—
1043C4×C22⋊C4C2×D5911yescharacteristic, complemented
1044C2×#95—591no—
1045C2×#95—591no—
1046C2×#95—591no—
1047C2×#95—591no—
1048C2×#95—591no—
1049C2×#95—591no—
1050C2×#95—591no—
1051C2×#95—591no—
1052C2×#95—591no—
1053C2×#95—591no—
1054C59C2×#264811yescharacteristic, complemented, Sylow
1055C25—591no—
1056C25—591no—
1057C25—591no—
1058C22×D4—591no—
1059C22×D4—591no—
1060C22×D4—591no—
1061C22×D4—591no—
1062C22×D4—591no—
1063C22×D4—591no—
1064C22×D4—591no—
1065C22×D4—591no—
1066C22×D4—591no—
1067C22×D4—1184no—
1068C22×D4—1184no—
1069C22×D4—1184no—
1070C22×D4—2362no—
1071C22×D4—2362no—
1072C22×D4—2362no—
1073C22×D4—2362no—
1074C22×D4—2362no—
1075C22×D4—2362no—
1076C22×D4C22×D5911yescharacteristic
1077C22×D4C22×D5911yescharacteristic
1078C22×D4C22×D5911yescharacteristic
1079C23×C4—591no—
1080C23×C4—591no—
1081C23×C4—591no—
1082C23×C4—591no—
1083C23×C4—591no—
1084C23×C4—591no—
1085C23×C4—591no—
1086C23×C4—591no—
1087C23×C4—591no—
1088C23×C4—591no—
1089C23×C4—591no—
1090C23×C4—591no—
1091C23×C4—591no—
1092C23×C4—591no—
1093C23×C4—591no—
1094C23×C4—1184no—
1095C23×C4—2362no—
1096C23×C4—2362no—
1097C23×C4C22×D5911yescharacteristic
1098C2×C4⋊C4—591no—
1099C2×C4⋊C4—591no—
1100C2×C4⋊C4—591no—
1101C2×C4⋊C4—591no—
1102C2×C4⋊C4—591no—
1103C2×C4⋊C4—591no—
1104C2×C4⋊C4—591no—
1105C2×C4⋊C4—591no—
1106C2×C4⋊C4—591no—
1107C2×C4⋊C4—591no—
1108C2×C4⋊C4—591no—
1109C2×C4⋊C4—591no—
1110C2×C4⋊C4—591no—
1111C2×C4⋊C4—591no—
1112C2×C4⋊C4—591no—
1113C2×C4⋊C4—1184no—
1114C2×C4⋊C4—2362no—
1115C2×C4⋊C4—2362no—
1116C2×C4⋊C4—2362no—
1117C2×C4⋊C4—2362no—
1118C2×C4⋊C4C22×D5911yescharacteristic
1119C2×C4⋊C4C22×D5911yescharacteristic
1120C2×C4⋊C4C22×D5911yescharacteristic
1121C2×C4⋊C4C22×D5911yescharacteristic
1122C2×C4⋊C4C22×D5911yescharacteristic
1123C2×C22⋊C4—591no—
1124C2×C22⋊C4—591no—
1125C2×C22⋊C4—591no—
1126C2×C22⋊C4—591no—
1127C2×C22⋊C4—591no—
1128C2×C22⋊C4—591no—
1129C2×C22⋊C4—591no—
1130C2×C22⋊C4—591no—
1131C2×C22⋊C4—591no—
1132C2×C22⋊C4—591no—
1133C2×C22⋊C4—591no—
1134C2×C22⋊C4—591no—
1135C2×C22⋊C4—591no—
1136C2×C22⋊C4—591no—
1137C2×C22⋊C4—591no—
1138C2×C22⋊C4—591no—
1139C2×C22⋊C4—591no—
1140C2×C22⋊C4—591no—
1141C2×C22⋊C4—591no—
1142C2×C22⋊C4—591no—
1143C2×C22⋊C4—591no—
1144C2×C22⋊C4—591no—
1145C2×C22⋊C4—591no—
1146C2×C22⋊C4—591no—
1147C2×C22⋊C4—591no—
1148C2×C22⋊C4—591no—
1149C2×C22⋊C4—591no—
1150C2×C22⋊C4—591no—
1151C2×C22⋊C4—591no—
1152C2×C22⋊C4—591no—
1153C2×C22⋊C4—591no—
1154C2×C22⋊C4—591no—
1155C2×C22⋊C4—591no—
1156C2×C22⋊C4—591no—
1157C2×C22⋊C4—591no—
1158C2×C22⋊C4—591no—
1159C2×C22⋊C4—591no—
1160C2×C22⋊C4—591no—
1161C2×C22⋊C4—591no—
1162C2×C22⋊C4—591no—
1163C2×C22⋊C4—591no—
1164C2×C22⋊C4—591no—
1165C2×C22⋊C4—1184no—
1166C2×C22⋊C4—1184no—
1167C2×C22⋊C4—1184no—
1168C2×C22⋊C4—1184no—
1169C2×C22⋊C4—2362no—
1170C2×C22⋊C4—2362no—
1171C2×C22⋊C4—2362no—
1172C2×C22⋊C4—2362no—
1173C2×C22⋊C4—2362no—
1174C2×C22⋊C4—2362no—
1175C2×C22⋊C4—2362no—
1176C2×C22⋊C4—2362no—
1177C2×C22⋊C4—2362no—
1178C2×C22⋊C4—2362no—
1179C2×C22⋊C4C22×D5911yescharacteristic
1180C2×C22⋊C4C22×D5911yescharacteristic
1181C2×C22⋊C4C22×D5911yescharacteristic
1182C2×C22⋊C4C22×D5911yescharacteristic
1183C2×C22⋊C4C22×D5911yescharacteristic
1184C2×C22⋊C4C22×D5911yescharacteristic
1185C2×C22⋊C4C22×D5911yescharacteristic
1186C2×C22⋊C4C22×D5911yescharacteristic
1187C2×C22⋊C4C22×D5911yescharacteristic
1188C2×C22⋊C4C22×D5911yescharacteristic
1189C2×C22⋊C4C22×D5911yescharacteristic
1190C2×C22⋊C4C22×D5911yescharacteristic
1191C2×C22⋊C4C22×D5911yescharacteristic
1192C2×C22⋊C4C22×D5911yescharacteristic
1193C2×C42—591no—
1194C2×C42—591no—
1195C2×C42—591no—
1196C2×C42—591no—
1197C2×C42—591no—
1198C2×C42—591no—
1199C2×C42—2362no—
1200C2×C42—2362no—
1201C2×C42C22×D5911yescharacteristic
1202C2×C42C22×D5911yescharacteristic
1203#95—591no—
1204#95—591no—
1205#95—591no—
1206#95—591no—
1207#95—591no—
1208#95—591no—
1209#95—591no—
1210#95—591no—
1211#95—591no—
1212#95—591no—
1213#95—591no—
1214#95—591no—
1215#95—591no—
1216#95—591no—
1217#95—591no—
1218#95—591no—
1219#95—591no—
1220#95—591no—
1221#95—591no—
1222#95—591no—
1223#95—591no—
1224#95—591no—
1225#95—591no—
1226#95—591no—
1227#95—591no—
1228#95—591no—
1229#95—591no—
1230#95—591no—
1231#95—591no—
1232#95—591no—
1233#95C22×D5911yescharacteristic
1234#95C22×D5911yescharacteristic
1235#95C22×D5911yescharacteristic
1236#95C22×D5911yescharacteristic
1237#95C22×D5911yescharacteristic
1238#95C22×D5911yescharacteristic
1239#95C22×D5911yescharacteristic
1240#95C22×D5911yescharacteristic
1241#95C22×D5911yescharacteristic
1242#95C22×D5911yescharacteristic
1243C24—591no—
1244C24—594no—
1245C24—591no—
1246C24—591no—
1247C24—591no—
1248C24—1182no—
1249C24—1182no—
1250C24—1182no—
1251C24—1182no—
1252C24—1182no—
1253C24—1182no—
1254C24—1182no—
1255C24—1182no—
1256C24—1182no—
1257C24—1182no—
1258C24—1182no—
1259C24—1182no—
1260C24—1182no—
1261C24—1182no—
1262C24—1182no—
1263C24—1182no—
1264C24—1182no—
1265C24—1182no—
1266C24—1182no—
1267C24—1182no—
1268C24C23×D5911yescharacteristic
1269C24C23×D5911yescharacteristic
1270C24C23×D5911yescharacteristic
1271C2×D4—22no—
1272C2×D4—22no—
1273C2×D4—22no—
1274C2×D4—41no—
1275C2×D4—41no—
1276C2×D4—41no—
1277C2×D4—41no—
1278C2×D4—41no—
1279C2×D4—41no—
1280C2×D4—1182no—
1281C2×D4—1182no—
1282C2×D4—1182no—
1283C2×D4—1182no—
1284C2×D4—1182no—
1285C2×D4—1182no—
1286C2×D4—1182no—
1287C2×D4—1182no—
1288C2×D4—1182no—
1289C2×D4—2361no—
1290C2×D4—2361no—
1291C2×D4—2361no—
1292C2×D4—2361no—
1293C2×D4—2361no—
1294C2×D4—2361no—
1295C2×D4—23616no—
1296C2×D4—2361no—
1297C2×D4—2361no—
1298C2×D4—2361no—
1299C2×D4—2361no—
1300C2×D4—2361no—
1301C2×D4—2361no—
1302C2×D4—2361no—
1303C2×D4—2361no—
1304C2×D4—2361no—
1305C2×D4—2361no—
1306C2×D4—2361no—
1307C2×D4—2361no—
1308C2×D4—23616no—
1309C2×D4—23616no—
1310C22×C4—22no—
1311C22×C4—41no—
1312C22×C4—41no—
1313C22×C4—591no—
1314C22×C4—591no—
1315C22×C4—594no—
1316C22×C4—594no—
1317C22×C4—591no—
1318C22×C4—591no—
1319C22×C4—591no—
1320C22×C4—591no—
1321C22×C4—591no—
1322C22×C4—591no—
1323C22×C4—591no—
1324C22×C4—591no—
1325C22×C4—591no—
1326C22×C4—591no—
1327C22×C4—1182no—
1328C22×C4—1182no—
1329C22×C4—1182no—
1330C22×C4—1182no—
1331C22×C4—1182no—
1332C22×C4—1182no—
1333C22×C4—1182no—
1334C22×C4—1182no—
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—1182no—
1351C22×C4—1182no—
1352C22×C4—1182no—
1353C22×C4—1182no—
1354C22×C4—1182no—
1355C22×C4—1182no—
1356C22×C4—1182no—
1357C22×C4—1182no—
1358C22×C4—1182no—
1359C22×C4—1182no—
1360C22×C4—1182no—
1361C22×C4—1182no—
1362C22×C4—1182no—
1363C22×C4—1182no—
1364C22×C4—2361no—
1365C22×C4—2361no—
1366C22×C4—2361no—
1367C22×C4—2361no—
1368C22×C4—23616no—
1369C22×C4—2361no—
1370C22×C4—2361no—
1371C22×C4C23×D5911yescharacteristic
1372C22×C4C23×D5911yescharacteristic
1373C22×C4C23×D5911yescharacteristic
1374C22×C4C23×D5911yescharacteristic
1375C22×C4C23×D5911yescharacteristic
1376C22×C4C23×D5911yescharacteristic
1377C22×C4C23×D5911yescharacteristic
1378C22×C4C23×D5911yescharacteristic
1379C22×C4C23×D5911yescharacteristic
1380C22×C4C23×D5911yescharacteristic
1381C22×C4C23×D5911yescharacteristic
1382C22×C4C23×D5911yescharacteristic
1383C4⋊C4—22no—
1384C4⋊C4—41no—
1385C4⋊C4—41no—
1386C4⋊C4—41no—
1387C4⋊C4—41no—
1388C4⋊C4—1182no—
1389C4⋊C4—1182no—
1390C4⋊C4—1182no—
1391C4⋊C4—2361no—
1392C4⋊C4—2361no—
1393C4⋊C4—2361no—
1394C4⋊C4—2361no—
1395C4⋊C4—2361no—
1396C4⋊C4—2361no—
1397C4⋊C4—2361no—
1398C4⋊C4—2361no—
1399C4⋊C4—2361no—
1400C4⋊C4—2361no—
1401C4⋊C4—2361no—
1402C4⋊C4—2361no—
1403C22⋊C4—22no—
1404C22⋊C4—22no—
1405C22⋊C4—22no—
1406C22⋊C4—22no—
1407C22⋊C4—41no—
1408C22⋊C4—41no—
1409C22⋊C4—41no—
1410C22⋊C4—41no—
1411C22⋊C4—41no—
1412C22⋊C4—41no—
1413C22⋊C4—41no—
1414C22⋊C4—41no—
1415C22⋊C4—41no—
1416C22⋊C4—41no—
1417C22⋊C4—1182no—
1418C22⋊C4—1182no—
1419C22⋊C4—1182no—
1420C22⋊C4—1182no—
1421C22⋊C4—1182no—
1422C22⋊C4—1182no—
1423C22⋊C4—1182no—
1424C22⋊C4—1182no—
1425C22⋊C4—1182no—
1426C22⋊C4—1182no—
1427C22⋊C4—1182no—
1428C22⋊C4—1182no—
1429C22⋊C4—2361no—
1430C22⋊C4—2361no—
1431C22⋊C4—2361no—
1432C22⋊C4—2361no—
1433C22⋊C4—2361no—
1434C22⋊C4—2361no—
1435C22⋊C4—2361no—
1436C22⋊C4—2361no—
1437C22⋊C4—2361no—
1438C22⋊C4—2361no—
1439C22⋊C4—2361no—
1440C22⋊C4—2361no—
1441C22⋊C4—2361no—
1442C22⋊C4—2361no—
1443C22⋊C4—2361no—
1444C22⋊C4—2361no—
1445C22⋊C4—2361no—
1446C22⋊C4—2361no—
1447C22⋊C4—2361no—
1448C22⋊C4—2361no—
1449C22⋊C4—2361no—
1450C22⋊C4—2361no—
1451C22⋊C4—2361no—
1452C22⋊C4—2361no—
1453C22⋊C4—2361no—
1454C22⋊C4—2361no—
1455C22⋊C4—2361no—
1456C22⋊C4—2361no—
1457C22⋊C4—2361no—
1458C22⋊C4—2361no—
1459C42—41no—
1460C42—41no—
1461C42—2361no—
1462C42—2361no—
1463C42—2361no—
1464C42—2361no—
1465C42—2361no—
1466C42—2361no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—592no—
1488C23—592no—
1489C23—592no—
1490C23—592no—
1491C23—592no—
1492C23—592no—
1493C23—592no—
1494C23—592no—
1495C23—1188no—
1496C23—1188no—
1497C23—1188no—
1498C23—1181no—
1499C23—1181no—
1500C23—1181no—
1501C23—1181no—
1502C23—1181no—
1503C23—1181no—
1504C23—1181no—
1505C23—1181no—
1506C23—1181no—
1507C23—1181no—
1508C23—1181no—
1509C23—1181no—
1510C23—1181no—
1511C23—1181no—
1512C23—1181no—
1513C23—1181no—
1514C23—1181no—
1515C23—1181no—
1516C23—1181no—
1517C23—1181no—
1518C23—2364no—
1519C23—2364no—
1520C23—2364no—
1521C23—2364no—
1522C23—2364no—
1523C23—2364no—
1524C23—2364no—
1525C23—2364no—
1526C23—2364no—
1527C23—2364no—
1528C23—2364no—
1529C23—2364no—
1530C23—2364no—
1531C23—2364no—
1532C23—2364no—
1533C23—2364no—
1534C23—2364no—
1535C23—2364no—
1536C23#41×D5912yes—
1537C23C24×D5911yescharacteristic
1538D4—44no—
1539D4—44no—
1540D4—44no—
1541D4—2364no—
1542D4—2364no—
1543D4—2364no—
1544D4—2364no—
1545D4—2364no—
1546D4—2364no—
1547D4—2364no—
1548D4—2364no—
1549D4—2364no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—44no—
1585C2×C4—592no—
1586C2×C4—592no—
1587C2×C4—1188no—
1588C2×C4—1188no—
1589C2×C4—1181no—
1590C2×C4—1181no—
1591C2×C4—1181no—
1592C2×C4—1181no—
1593C2×C4—1181no—
1594C2×C4—1181no—
1595C2×C4—1181no—
1596C2×C4—1181no—
1597C2×C4—1181no—
1598C2×C4—1181no—
1599C2×C4—1181no—
1600C2×C4—1181no—
1601C2×C4—1181no—
1602C2×C4—1181no—
1603C2×C4—1181no—
1604C2×C4—1181no—
1605C2×C4—1181no—
1606C2×C4—1181no—
1607C2×C4—1181no—
1608C2×C4—1181no—
1609C2×C4—1181no—
1610C2×C4—1181no—
1611C2×C4—1181no—
1612C2×C4—1181no—
1613C2×C4—1181no—
1614C2×C4—1181no—
1615C2×C4—1181no—
1616C2×C4—1181no—
1617C2×C4—1181no—
1618C2×C4—1181no—
1619C2×C4—1181no—
1620C2×C4—1181no—
1621C2×C4—1181no—
1622C2×C4—1181no—
1623C2×C4—2364no—
1624C2×C4—2364no—
1625C2×C4—2364no—
1626C2×C4—2364no—
1627C2×C4—2364no—
1628C2×C4—2364no—
1629C2×C4—2364no—
1630C2×C4—2364no—
1631C2×C4—2364no—
1632C2×C4—2364no—
1633C2×C4—2364no—
1634C2×C4—2364no—
1635C2×C4—2364no—
1636C2×C4#41×D5912yes—
1637C2×C4#41×D5912yes—
1638C22—22no—
1639C22—22no—
1640C22—22no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—41no—
1655C22—41no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—594no—
1660C22—594no—
1661C22—594no—
1662C22—594no—
1663C22—594no—
1664C22—594no—
1665C22—594no—
1666C22—1182no—
1667C22—1182no—
1668C22—1182no—
1669C22—4728no—
1670C22—4728no—
1671C22—23616no—
1672C22—2361no—
1673C22—2361no—
1674C22—2361no—
1675C22—2361no—
1676C22—2361no—
1677C22—2361no—
1678C22—2361no—
1679C22—2361no—
1680C22—2361no—
1681C22—2361no—
1682C22—2361no—
1683C22—2361no—
1684C22—2361no—
1685C22—2361no—
1686C22—2361no—
1687C22—2361no—
1688C22—2361no—
1689C22—2361no—
1690C22C2×#41×D5911yescharacteristic
1691C22C2×#41×D5911yescharacteristic
1692C22C2×#41×D5911yescharacteristic
1693C22H(5,𝔽2)×D5911yescharacteristic
1694C22H(5,𝔽2)×D5911yescharacteristic
1695C22H(5,𝔽2)×D5911yescharacteristic
1696C22H(5,𝔽2)×D5911yescharacteristic
1697C4—22no—
1698C4—22no—
1699C4—41no—
1700C4—41no—
1701C4—41no—
1702C4—41no—
1703C4—41no—
1704C4—41no—
1705C4—41no—
1706C4—41no—
1707C4—41no—
1708C4—41no—
1709C4—1182no—
1710C4—1182no—
1711C4—2361no—
1712C4—2361no—
1713C4—2361no—
1714C4—2361no—
1715C4—2361no—
1716C4—2361no—
1717C4—2361no—
1718C4—2361no—
1719C4—2361no—
1720C4—2361no—
1721C2—42no—
1722C2—81no—
1723C2—81no—
1724C2—598no—
1725C2—4721no—
1726C2—4721no—
1727C2—2362no—
1728C2#529×D5911yescharacteristic
1729C2#538×D5911yescharacteristic
1730C2#538×D5911yescharacteristic
1731C2#538×D5911yescharacteristic
1732C2#538×D5911yescharacteristic
1733C2#540×D5911yescharacteristic
1734C2#540×D5911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2648C2
prime radical#392×D59C2
hypercenter#2648D59
hypocenterC59C2×#2648
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2648

Complements

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

NH ≅ G/Ntype
1. #21430091C2semidirect
2. #21430090C2semidirect
3. #21430089C2semidirect
4. #21430088C2semidirect
5. #21430087C2semidirect
6. #21430086C2semidirect
7. #21430085C2semidirect
8. #21430084C2semidirect
9. #21430083C2semidirect
10. #21430082C2semidirect
11. #21430081C2semidirect
12. #21430080C2semidirect
13. #21430079C2semidirect
14. #21430078C2semidirect
15. #21430077C2semidirect
16. #400×D59C2semidirect
17. #397×D59C2semidirect
18. #397×D59C2semidirect
19. #396×D59C2semidirect
20. #394×D59C2semidirect
21. #394×D59C2semidirect
22. #394×D59C2semidirect
24. #390×D59C2semidirect
25. #388×D59C2semidirect
26. #388×D59C2semidirect
27. #387×D59C2semidirect
28. #386×D59C2semidirect
29. #386×D59C2semidirect
30. C4×C22⋊C4×D59C2semidirect
31. C59×#2648C2semidirect
57. #16837344C22semidirect
58. #16837344C22semidirect
59. #16837343C22semidirect
60. #16837343C22semidirect
61. #16837342C22semidirect
62. #16837341C22semidirect
63. #16837340C22semidirect
64. #16837331C22semidirect
65. #16837331C22semidirect
66. #16837331C22semidirect
67. #16837331C22semidirect
68. #16837330C22semidirect
69. #16837330C22semidirect
70. #16837330C22semidirect
71. #16837330C22semidirect
72. #16837329C22semidirect
73. #16837329C22semidirect
74. #16837328C22semidirect
75. #16837328C22semidirect
76. #16837327C22semidirect
77. #16837327C22semidirect
78. #16837326C22semidirect
79. #16837325C22semidirect
80. #16837325C22semidirect
81. #16837325C22semidirect
82. #16837324C22semidirect
83. #16837324C22semidirect
84. #16837324C22semidirect
85. #16837320C22semidirect
86. #16837320C22semidirect
87. #16837320C22semidirect
88. #16837319C22semidirect
89. #16837319C22semidirect
90. #16837319C22semidirect
91. #16837318C22semidirect
92. #16837318C22semidirect
93. #16837318C22semidirect
94. #16837318C22semidirect
95. #16837318C22semidirect
96. #16837318C22semidirect
97. #16837317C22semidirect
98. #16837317C22semidirect
99. #16837317C22semidirect
100. #16837317C22semidirect
101. #16837317C22semidirect
102. #16837317C22semidirect
103. #16837316C22semidirect
104. #16837316C22semidirect
105. #16837316C22semidirect
113. #16837305C22semidirect
114. #16837304C22semidirect
115. #16837303C22semidirect
116. #16837302C22semidirect
117. #16837302C22semidirect
118. #16837302C22semidirect
119. #16837302C22semidirect
120. #16837296C22semidirect
121. #16837296C22semidirect
122. #16837295C22semidirect
123. #16837295C22semidirect
124. #16837294C22semidirect
125. #16837294C22semidirect
126. #16837293C22semidirect
127. #16837293C22semidirect
128. #16837292C22semidirect
129. #16837292C22semidirect
130. #16837291C22semidirect
131. #16837291C22semidirect
132. #16837290C22semidirect
133. #16837290C22semidirect
134. #16837289C22semidirect
135. #16837288C22semidirect
136. #16837287C22semidirect
137. #16837286C22semidirect
138. #16837285C22semidirect
139. #16837284C22semidirect
140. #16837283C22semidirect
141. #16837282C22semidirect
142. #16837282C22semidirect
143. #16837281C22semidirect
144. #16837281C22semidirect
145. #16837280C22semidirect
146. #16837280C22semidirect
147. #16837280C22semidirect
148. #16837280C22semidirect
149. #16837279C22semidirect
150. #16837279C22semidirect
151. #16837278C22semidirect
152. #16837278C22semidirect
153. #16837278C22semidirect
154. #16837278C22semidirect
155. C22⋊C4×Dic59C22semidirect
156. C22⋊C4×Dic59C22semidirect
157. C4×(C2×D59)⋊C4C22semidirect
158. C4×(C2×D59)⋊C4C22semidirect
159. C4×C22⋊Dic59C22semidirect
160. #16837249C22semidirect
161. #16837249C22semidirect
172. C59×#400C22semidirect
173. C59×#397C22semidirect
174. C59×#397C22semidirect
175. C59×#396C22semidirect
176. C59×#394C22semidirect
177. C59×#394C22semidirect
178. C59×#394C22semidirect
180. C59×#390C22semidirect
181. C59×#388C22semidirect
182. C59×#388C22semidirect
183. C59×#387C22semidirect
184. C59×#386C22semidirect
185. C59×#386C22semidirect
186. C4×C22⋊C4×C59C22semidirect
869. #2648D59direct (N × H)
898. D59#2648direct (N × H)
931. #400C2×D59semidirect
946. #397C2×D59semidirect
947. #397C2×D59semidirect
955. #396C2×D59semidirect
977. #394C2×D59semidirect
978. #394C2×D59semidirect
979. #394C2×D59semidirect
995. #390C2×D59semidirect
1010. #388C2×D59semidirect
1011. #388C2×D59semidirect
1019. #387C2×D59semidirect
1034. #386C2×D59semidirect
1035. #386C2×D59semidirect
1043. C4×C22⋊C4C2×D59semidirect
1054. C59C2×#2648semidirect

Maximal subgroups

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

subgroupindex
#214300912
#214300902
#214300892
#214300882
#214300872
#214300862
#214300852
#214300842
#214300832
#214300822
#214300812
#214300802
#214300792
#214300782
#214300772
#400×D592
#397×D592
#396×D592
#394×D592
#392×D592
#390×D592
#388×D592
#387×D592
#386×D592
C4×C22⋊C4×D592
C59×#26482
C2×#264859