Finite Group Databasebeta

← D59×#2651 #28755312

Subgroups — D59×#2651 #28755312

Order 15104.

2222 conjugacy classes of subgroups.

The subgroup lattice has 1580 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21430136C211yesmaximal, characteristic, complemented
2#21430135C211yesmaximal, characteristic, complemented
3#21430134C211yesmaximal, characteristic, complemented
4#21430133C211yesmaximal, characteristic, complemented
5#21430132C211yesmaximal, characteristic, complemented
6#21430131C211yesmaximal, characteristic, complemented
7#21430130C211yesmaximal, characteristic, complemented
8#21430129C211yesmaximal, characteristic, complemented
9#21430128C211yesmaximal, characteristic, complemented
10#21430127C211yesmaximal, characteristic, complemented
11#21430126C211yesmaximal, characteristic, complemented
12#21430125C211yesmaximal, characteristic, complemented
13#21430124C211yesmaximal, characteristic, complemented
14#21430123C211yesmaximal, characteristic, complemented
15#21430122C211yesmaximal, characteristic, complemented
16#399×D59C211yesmaximal, characteristic, complemented
17#398×D59C211yesmaximal, characteristic, complemented
18#398×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#390×D59C211yesmaximal, characteristic
25#388×D59C211yesmaximal, characteristic, complemented
26#388×D59C211yesmaximal, characteristic, complemented
27#388×D59C211yesmaximal, characteristic, complemented
28#388×D59C211yesmaximal, characteristic, complemented
29#387×D59C211yesmaximal, characteristic, complemented
30C4×C4⋊C4×D59C211yesmaximal, characteristic, complemented
31C59×#2651C211yesmaximal, characteristic, complemented
32C22×D4×D59C2211yescharacteristic
33C2×C4⋊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×C22⋊C4×D59C2211yescharacteristic
54C2×C42×D59C2211yescharacteristic
55C2×C42×D59C2211yescharacteristic
56C2×C42×D59C2211yescharacteristic
57#16837339C2211yescharacteristic, complemented
58#16837338C2211yescharacteristic, complemented
59#16837338C2211yescharacteristic, complemented
60#16837338C2211yescharacteristic, complemented
61#16837337C2211yescharacteristic, complemented
62#16837337C2211yescharacteristic, complemented
63#16837337C2211yescharacteristic, complemented
64#16837336C2211yescharacteristic, complemented
65#16837336C2211yescharacteristic, complemented
66#16837336C2211yescharacteristic, complemented
67#16837336C2211yescharacteristic, complemented
68#16837335C2211yescharacteristic, complemented
69#16837335C2211yescharacteristic, complemented
70#16837335C2211yescharacteristic, complemented
71#16837335C2211yescharacteristic, complemented
72#16837334C2211yescharacteristic, complemented
73#16837334C2211yescharacteristic, complemented
74#16837333C2211yescharacteristic, complemented
75#16837333C2211yescharacteristic, complemented
76#16837332C2211yescharacteristic, complemented
77#16837332C2211yescharacteristic, complemented
78#16837331C2211yescharacteristic, complemented
79#16837331C2211yescharacteristic, complemented
80#16837331C2211yescharacteristic, complemented
81#16837331C2211yescharacteristic, complemented
82#16837330C2211yescharacteristic, complemented
83#16837330C2211yescharacteristic, complemented
84#16837330C2211yescharacteristic, complemented
85#16837330C2211yescharacteristic, complemented
86#16837329C2211yescharacteristic, complemented
87#16837329C2211yescharacteristic, complemented
88#16837328C2211yescharacteristic, complemented
89#16837328C2211yescharacteristic, complemented
90#16837327C2211yescharacteristic, complemented
91#16837327C2211yescharacteristic, complemented
92#16837326C2211yescharacteristic, complemented
93#16837325C2211yescharacteristic, complemented
94#16837325C2211yescharacteristic, complemented
95#16837325C2211yescharacteristic, complemented
96#16837324C2211yescharacteristic, complemented
97#16837324C2211yescharacteristic, complemented
98#16837324C2211yescharacteristic, complemented
99#16837320C2211yescharacteristic
100#16837320C2211yescharacteristic
101#16837319C2211yescharacteristic
102#16837319C2211yescharacteristic
103#16837318C2211yescharacteristic
104#16837318C2211yescharacteristic
105#16837318C2211yescharacteristic
106#16837318C2211yescharacteristic
107#16837317C2211yescharacteristic
108#16837317C2211yescharacteristic
109#16837317C2211yescharacteristic
110#16837317C2211yescharacteristic
111#16837316C2211yescharacteristic
112#16837316C2211yescharacteristic
113#16837305C2211yescharacteristic
114#16837304C2211yescharacteristic
115#16837303C2211yescharacteristic
116#16837302C2211yescharacteristic
117#16837302C2211yescharacteristic
118#16837302C2211yescharacteristic
119#16837302C2211yescharacteristic
120#16837296C2211yescharacteristic, complemented
121#16837296C2211yescharacteristic, complemented
122#16837296C2211yescharacteristic, complemented
123#16837296C2211yescharacteristic, complemented
124#16837295C2211yescharacteristic, complemented
125#16837295C2211yescharacteristic, complemented
126#16837295C2211yescharacteristic, complemented
127#16837295C2211yescharacteristic, complemented
128#16837294C2211yescharacteristic, complemented
129#16837294C2211yescharacteristic, complemented
130#16837294C2211yescharacteristic, complemented
131#16837294C2211yescharacteristic, complemented
132#16837293C2211yescharacteristic, complemented
133#16837293C2211yescharacteristic, complemented
134#16837293C2211yescharacteristic, complemented
135#16837293C2211yescharacteristic, complemented
136#16837292C2211yescharacteristic, complemented
137#16837292C2211yescharacteristic, complemented
138#16837292C2211yescharacteristic, complemented
139#16837292C2211yescharacteristic, complemented
140#16837291C2211yescharacteristic, complemented
141#16837291C2211yescharacteristic, complemented
142#16837291C2211yescharacteristic, complemented
143#16837291C2211yescharacteristic, complemented
144#16837290C2211yescharacteristic, complemented
145#16837290C2211yescharacteristic, complemented
146#16837290C2211yescharacteristic, complemented
147#16837290C2211yescharacteristic, complemented
148#16837289C2211yescharacteristic, complemented
149#16837288C2211yescharacteristic, complemented
150#16837287C2211yescharacteristic, complemented
151#16837286C2211yescharacteristic, complemented
152#16837285C2211yescharacteristic, complemented
153#16837284C2211yescharacteristic, complemented
154#16837283C2211yescharacteristic, complemented
155C4⋊C4×Dic59C2211yescharacteristic, complemented
156C4⋊C4×Dic59C2211yescharacteristic, complemented
157C4×Dic59⋊C4C2211yescharacteristic, complemented
158C4×Dic59⋊C4C2211yescharacteristic, complemented
159C4×C4⋊Dic59C2211yescharacteristic, complemented
160#16837253C2211yescharacteristic, complemented
161#16837253C2211yescharacteristic, 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×#399C2211yescharacteristic, complemented
173C59×#398C2211yescharacteristic, complemented
174C59×#398C2211yescharacteristic, complemented
175C59×#397C2211yescharacteristic, complemented
176C59×#397C2211yescharacteristic, complemented
177C59×#396C2211yescharacteristic, complemented
178C59×#394C2211yescharacteristic
179C59×#394C2211yescharacteristic
180C59×#390C2211yescharacteristic
181C59×#388C2211yescharacteristic, complemented
182C59×#388C2211yescharacteristic, complemented
183C59×#388C2211yescharacteristic, complemented
184C59×#388C2211yescharacteristic, complemented
185C59×#387C2211yescharacteristic, complemented
186C4×C4⋊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—
195C22×C4×D59C2311yescharacteristic
196C22×C4×D59C2311yescharacteristic
197C22×C4×D59C2311yescharacteristic
198C22×C4×D59C2311yescharacteristic
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
208C2×C4⋊Dic59C2311yescharacteristic
209C2×C4⋊Dic59C2311yescharacteristic
210C2×C4⋊Dic59C2311yescharacteristic
211C2×C4⋊Dic59C2311yescharacteristic
212C2×C4⋊Dic59C2311yescharacteristic
213C2×C4⋊Dic59C2311yescharacteristic
214C2×C4⋊Dic59C2311yescharacteristic
215C2×C4⋊Dic59C2311yescharacteristic
216C2×C4⋊Dic59C2311yescharacteristic
217C2×Dic59⋊C4C2311yescharacteristic
218C2×Dic59⋊C4C2311yescharacteristic
219C2×Dic59⋊C4C2311yescharacteristic
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
232C2×Dic59⋊C4C2311yescharacteristic
233C2×Dic59⋊C4C2311yescharacteristic
234C2×Dic59⋊C4C2311yescharacteristic
235C4⋊C4×D59—24no—
236C4⋊C4×D59—24no—
237C4⋊C4×D59—24no—
238C4⋊C4×D59—42no—
239C4⋊C4×D59—42no—
240C4⋊C4×D59—42no—
241C4⋊C4×D59—42no—
242C4⋊C4×D59—42no—
243C4⋊C4×D59—42no—
244C2×C22⋊Dic59C2311yescharacteristic
245C2×C22⋊Dic59C2311yescharacteristic
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×(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
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
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—
290C22⋊C4×D59—42no—
291C22⋊C4×D59—42no—
292C2×C4×Dic59C2311yescharacteristic
293C2×C4×Dic59C2311yescharacteristic
294C2×C4×Dic59C2311yescharacteristic
295C2×C4×Dic59C2311yescharacteristic
296C2×C4×Dic59C2311yescharacteristic
297C2×C4×Dic59C2311yescharacteristic
298C2×C4×Dic59C2311yescharacteristic
299C2×C4×Dic59C2311yescharacteristic
300C2×C4×Dic59C2311yescharacteristic
301C42×D59—24no—
302C42×D59—42no—
303C42×D59—42no—
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
335C2×C4⋊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×C22⋊C4×C59C2311yescharacteristic
356C2×C42×C59C2311yescharacteristic
357C2×C42×C59C2311yescharacteristic
358C2×C42×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—22no—
385C23×D59C2411yescharacteristic
386C23×D59C2411yescharacteristic
387C23×D59C2411yescharacteristic
388C2×D4×C59—22no—
389C2×D4×C59—41no—
390C2×D4×C59—41no—
391C22×C4×C59C2411yescharacteristic
392C22×C4×C59C2411yescharacteristic
393C22×C4×C59C2411yescharacteristic
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
404C2×C22⋊D59—22no—
405C2×C22⋊D59—22no—
406C2×C22⋊D59—41no—
407C2×C22⋊D59—41no—
408C2×C22⋊D59—41no—
409C2×C22⋊D59—41no—
410C22×Dic59C2411yescharacteristic
411C22×Dic59C2411yescharacteristic
412C22×Dic59C2411yescharacteristic
413C22×Dic59C2411yescharacteristic
414C22×Dic59C2411yescharacteristic
415C22×Dic59C2411yescharacteristic
416C22×Dic59C2411yescharacteristic
417C22×Dic59C2411yescharacteristic
418C22×Dic59C2411yescharacteristic
419C22×Dic59C2411yescharacteristic
420C22×Dic59C2411yescharacteristic
421C22×Dic59C2411yescharacteristic
422C22×Dic59C2411yescharacteristic
423D4×D59—416no—
424C2×D236—22no—
425C2×D236—41no—
426C2×D236—41no—
427C2×C4×D59—22no—
428C2×C4×D59—22no—
429C2×C4×D59—22no—
430C2×C4×D59—22no—
431C2×C4×D59—22no—
432C2×C4×D59—22no—
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#4114yes—
464C2×C4×D59#4114yes—
465C2×C4×D59#4114yes—
466C4⋊C4×C59—22no—
467C4⋊C4×C59—22no—
468C4⋊C4×C59—22no—
469C4⋊C4×C59—41no—
470C4⋊C4×C59—41no—
471C4⋊C4×C59—41no—
472C4⋊C4×C59—41no—
473C4⋊C4×C59—41no—
474C4⋊C4×C59—41no—
475C22⋊C4×C59—22no—
476C22⋊C4×C59—22no—
477C22⋊C4×C59—22no—
478C22⋊C4×C59—22no—
479C22⋊C4×C59—41no—
480C22⋊C4×C59—41no—
481C22⋊C4×C59—41no—
482C22⋊C4×C59—41no—
483C22⋊C4×C59—41no—
484C22⋊C4×C59—41no—
485C22⋊C4×C59—41no—
486C22⋊C4×C59—41no—
487C42×C59—22no—
488C42×C59—41no—
489C42×C59—41no—
490C22⋊Dic59—22no—
491C22⋊Dic59—22no—
492C22⋊Dic59—22no—
493C22⋊Dic59—22no—
494C22⋊Dic59—41no—
495C22⋊Dic59—41no—
496C22⋊Dic59—41no—
497C22⋊Dic59—41no—
498C22⋊Dic59—41no—
499C22⋊Dic59—41no—
500C22⋊Dic59—41no—
501C22⋊Dic59—41no—
502(C2×D59)⋊C4—22no—
503(C2×D59)⋊C4—22no—
504(C2×D59)⋊C4—22no—
505(C2×D59)⋊C4—22no—
506(C2×D59)⋊C4—22no—
507(C2×D59)⋊C4—22no—
508(C2×D59)⋊C4—22no—
509(C2×D59)⋊C4—22no—
510(C2×D59)⋊C4—41no—
511(C2×D59)⋊C4—41no—
512(C2×D59)⋊C4—41no—
513(C2×D59)⋊C4—41no—
514(C2×D59)⋊C4—41no—
515(C2×D59)⋊C4—41no—
516(C2×D59)⋊C4—41no—
517(C2×D59)⋊C4—41no—
518(C2×D59)⋊C4—41no—
519(C2×D59)⋊C4—41no—
520(C2×D59)⋊C4—41no—
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—
526C4⋊Dic59—22no—
527C4⋊Dic59—22no—
528C4⋊Dic59—22no—
529C4⋊Dic59—41no—
530C4⋊Dic59—41no—
531C4⋊Dic59—41no—
532C4⋊Dic59—41no—
533C4⋊Dic59—41no—
534C4⋊Dic59—41no—
535Dic59⋊C4—22no—
536Dic59⋊C4—22no—
537Dic59⋊C4—22no—
538Dic59⋊C4—22no—
539Dic59⋊C4—22no—
540Dic59⋊C4—22no—
541Dic59⋊C4—41no—
542Dic59⋊C4—41no—
543Dic59⋊C4—41no—
544Dic59⋊C4—41no—
545Dic59⋊C4—41no—
546Dic59⋊C4—41no—
547Dic59⋊C4—41no—
548Dic59⋊C4—41no—
549Dic59⋊C4—41no—
550Dic59⋊C4—41no—
551Dic59⋊C4—41no—
552Dic59⋊C4—41no—
553C4×Dic59—22no—
554C4×Dic59—22no—
555C4×Dic59—22no—
556C4×Dic59—41no—
557C4×Dic59—41no—
558C4×Dic59—41no—
559C4×Dic59—41no—
560C4×Dic59—41no—
561C4×Dic59—41no—
562C23×C59—21no—
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×C59C2511yescharacteristic
577C22×D59—21no—
578C22×D59—21no—
579C22×D59—21no—
580C22×D59—21no—
581C22×D59—21no—
582C22×D59—21no—
583C22×D59—21no—
584C22×D59—21no—
585C22×D59—21no—
586C22×D59—21no—
587C22×D59—21no—
588C22×D59—21no—
589C22×D59—21no—
590C22×D59—21no—
591C22×D59—44no—
592C22×D59—44no—
593C22×D59—44no—
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×D59H(5,𝔽2)12yes—
609C22×D59H(5,𝔽2)12yes—
610C22×D59H(5,𝔽2)12yes—
611C22×D592−1+412yes—
612D4×C59—44no—
613C2×C4×C59—21no—
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×C59C2×#4112yes—
650C2×C4×C59C2×#4112yes—
651C2×C4×C59C2×#4112yes—
652C22⋊D59—44no—
653C22⋊D59—44no—
654C2×Dic59—21no—
655C2×Dic59—21no—
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×Dic59C2×#4112yes—
691C2×Dic59C2×#4112yes—
692C2×Dic59C2×#4112yes—
693D236—44no—
694C4×D59—28no—
695C4×D59—28no—
696C4×D59—28no—
697C4×D59—44no—
698C4×D59—44no—
699C4×D59—44no—
700C4×D59—44no—
701C4×D59—44no—
702C4×D59—44no—
703C4×D59—44no—
704C4×D59—44no—
705C4×D59—44no—
706C4×D59—44no—
707C2×#2651—591nomaximal, Sylow
708C22×C59—41no—
709C22×C59—41no—
710C22×C59—41no—
711C22×C59—41no—
712C22×C59—41no—
713C22×C59—41no—
714C22×C59—41no—
715C22×C59—41no—
716C22×C59—41no—
717C22×C59—41no—
718C22×C59—41no—
719C22×C59—41no—
720C22×C59—41no—
721C22×C59—41no—
722C22×C59C22×#4111yescharacteristic
723C22×C59C22×#4111yescharacteristic
724C22×C59C22×#4111yescharacteristic
725C22×C59C2×H(5,𝔽2)11yescharacteristic
726C22×C59C2×H(5,𝔽2)11yescharacteristic
727C22×C59C2×H(5,𝔽2)11yescharacteristic
728C22×C59C2×2−1+411yescharacteristic
729C2×D59—41no—
730C2×D59—41no—
731C2×D59—41no—
732C2×D59—41no—
733C2×D59—41no—
734C2×D59—41no—
735C2×D59—41no—
736C2×D59—41no—
737C2×D59—41no—
738C2×D59—41no—
739C2×D59—41no—
740C2×D59—41no—
741C2×D59—41no—
742C2×D59—41no—
743C2×D59—88no—
744C2×D59—88no—
745C2×D59#52914yes—
746C2×D59#53814yes—
747C2×D59#53914yes—
748C2×D59#54014yes—
749C2×D59#54014yes—
750C2×D59#54214yes—
751C2×D59#54214yes—
752C4×C59—22no—
753C4×C59—22no—
754C4×C59—22no—
755C4×C59—41no—
756C4×C59—41no—
757C4×C59—41no—
758C4×C59—41no—
759C4×C59—41no—
760C4×C59—41no—
761C4×C59—41no—
762C4×C59—41no—
763C4×C59—41no—
764C4×C59—41no—
765Dic59—22no—
766Dic59—22no—
767Dic59—22no—
768Dic59—41no—
769Dic59—41no—
770Dic59—41no—
771Dic59—41no—
772Dic59—41no—
773Dic59—41no—
774Dic59—41no—
775Dic59—41no—
776Dic59—41no—
777Dic59—41no—
778#2651—591no—
779#2651—591no—
780#2651—591no—
781#2651—591no—
782#2651—591no—
783#2651—591no—
784#2651—591no—
785#2651—591no—
786#2651—591no—
787#2651—591no—
788#2651—591no—
789#2651—591no—
790#2651—591no—
791#2651—591no—
792#2651—591no—
793#2651D5911yescharacteristic, direct product factor
794C2×#399—591no—
795C2×#398—591no—
796C2×#398—591no—
797C2×#397—591no—
798C2×#397—591no—
799C2×#396—591no—
800C2×#394—591no—
801C2×#394—591no—
802C2×#390—591no—
803C2×#388—591no—
804C2×#388—591no—
805C2×#388—591no—
806C2×#388—591no—
807C2×#387—591no—
808C2×C4×C4⋊C4—591no—
809C2×C59—81no—
810C2×C59—81no—
811C2×C59C2×#52911yescharacteristic
812C2×C59C2×#53811yescharacteristic
813C2×C59C2×#53911yescharacteristic
814C2×C59C2×#54011yescharacteristic
815C2×C59C2×#54011yescharacteristic
816C2×C59C2×#54211yescharacteristic
817C2×C59C2×#54211yescharacteristic
818D59—81no—
819D59—81no—
820D59#265118yesdirect product factor
821C23×D4—591no—
822C22×C4⋊C4—591no—
823C22×C4⋊C4—591no—
824C22×C4⋊C4—591no—
825C22×C4⋊C4—591no—
826C22×C4⋊C4—591no—
827C22×C4⋊C4—591no—
828C22×C4⋊C4—591no—
829C22×C4⋊C4—591no—
830C22×C4⋊C4—591no—
831C22×C22⋊C4—591no—
832C22×C22⋊C4—591no—
833C22×C22⋊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×C42—591no—
844C22×C42—591no—
845C22×C42—591no—
846#399—591no—
847#399—591no—
848#399—591no—
849#399—591no—
850#399—591no—
851#399—591no—
852#399—591no—
853#399C2×D5911yescharacteristic, complemented
854#398—591no—
855#398—591no—
856#398—591no—
857#398—591no—
858#398—591no—
859#398—591no—
860#398—591no—
861#398—591no—
862#398—591no—
863#398—591no—
864#398—591no—
865#398—591no—
866#398—591no—
867#398—591no—
868#398C2×D5911yescharacteristic, complemented
869#398C2×D5911yescharacteristic, complemented
870#397—591no—
871#397—591no—
872#397—591no—
873#397—591no—
874#397—591no—
875#397—591no—
876#397—591no—
877#397—591no—
878#397—591no—
879#397—591no—
880#397—591no—
881#397—591no—
882#397—591no—
883#397—591no—
884#397C2×D5911yescharacteristic, complemented
885#397C2×D5911yescharacteristic, complemented
886#396—591no—
887#396—591no—
888#396—591no—
889#396—591no—
890#396—591no—
891#396—591no—
892#396—591no—
893#396C2×D5911yescharacteristic, complemented
894#394—591no—
895#394—591no—
896#394—591no—
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#394C2×D5911yescharacteristic
909#394C2×D5911yescharacteristic
910#390—591no—
911#390—591no—
912#390—591no—
913#390—591no—
914#390—591no—
915#390—591no—
916#390—591no—
917#390C2×D5911yescharacteristic
918#388—591no—
919#388—591no—
920#388—591no—
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#388—591no—
936#388—591no—
937#388—591no—
938#388—591no—
939#388—591no—
940#388—591no—
941#388—591no—
942#388—591no—
943#388—591no—
944#388—591no—
945#388—591no—
946#388C2×D5911yescharacteristic, complemented
947#388C2×D5911yescharacteristic, complemented
948#388C2×D5911yescharacteristic, complemented
949#388C2×D5911yescharacteristic, complemented
950#387—591no—
951#387—591no—
952#387—591no—
953#387—591no—
954#387—591no—
955#387—591no—
956#387—591no—
957#387C2×D5911yescharacteristic, complemented
958C4×C4⋊C4—591no—
959C4×C4⋊C4—591no—
960C4×C4⋊C4—591no—
961C4×C4⋊C4—591no—
962C4×C4⋊C4—591no—
963C4×C4⋊C4—591no—
964C4×C4⋊C4—591no—
965C4×C4⋊C4C2×D5911yescharacteristic, complemented
966C2×#95—591no—
967C2×#95—591no—
968C2×#95—591no—
969C2×#95—591no—
970C2×#95—591no—
971C2×#95—591no—
972C2×#95—591no—
973C2×#95—591no—
974C2×#95—591no—
975C2×#95—591no—
976C59C2×#265111yescharacteristic, complemented, Sylow
977C25—591no—
978C25—591no—
979C22×D4—591no—
980C22×D4—591no—
981C22×D4—591no—
982C22×D4—1184no—
983C22×D4—2362no—
984C22×D4—2362no—
985C22×D4C22×D5911yescharacteristic
986C23×C4—591no—
987C23×C4—591no—
988C23×C4—591no—
989C23×C4—591no—
990C23×C4—591no—
991C23×C4—591no—
992C23×C4—591no—
993C23×C4—591no—
994C23×C4—591no—
995C23×C4—591no—
996C23×C4—591no—
997C23×C4—591no—
998C23×C4—591no—
999C2×C4⋊C4—591no—
1000C2×C4⋊C4—591no—
1001C2×C4⋊C4—591no—
1002C2×C4⋊C4—591no—
1003C2×C4⋊C4—591no—
1004C2×C4⋊C4—591no—
1005C2×C4⋊C4—591no—
1006C2×C4⋊C4—591no—
1007C2×C4⋊C4—591no—
1008C2×C4⋊C4—591no—
1009C2×C4⋊C4—591no—
1010C2×C4⋊C4—591no—
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—1184no—
1027C2×C4⋊C4—1184no—
1028C2×C4⋊C4—1184no—
1029C2×C4⋊C4—2362no—
1030C2×C4⋊C4—2362no—
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×C4⋊C4C22×D5911yescharacteristic
1042C2×C4⋊C4C22×D5911yescharacteristic
1043C2×C4⋊C4C22×D5911yescharacteristic
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—591no—
1075C2×C22⋊C4—591no—
1076C2×C22⋊C4—591no—
1077C2×C22⋊C4—591no—
1078C2×C22⋊C4—591no—
1079C2×C22⋊C4—591no—
1080C2×C22⋊C4—1184no—
1081C2×C22⋊C4—1184no—
1082C2×C22⋊C4—1184no—
1083C2×C22⋊C4—1184no—
1084C2×C22⋊C4—2362no—
1085C2×C22⋊C4—2362no—
1086C2×C22⋊C4—2362no—
1087C2×C22⋊C4—2362no—
1088C2×C22⋊C4—2362no—
1089C2×C22⋊C4—2362no—
1090C2×C22⋊C4—2362no—
1091C2×C22⋊C4—2362no—
1092C2×C22⋊C4C22×D5911yescharacteristic
1093C2×C22⋊C4C22×D5911yescharacteristic
1094C2×C22⋊C4C22×D5911yescharacteristic
1095C2×C22⋊C4C22×D5911yescharacteristic
1096C2×C22⋊C4C22×D5911yescharacteristic
1097C2×C22⋊C4C22×D5911yescharacteristic
1098C2×C22⋊C4C22×D5911yescharacteristic
1099C2×C22⋊C4C22×D5911yescharacteristic
1100C2×C22⋊C4C22×D5911yescharacteristic
1101C2×C22⋊C4C22×D5911yescharacteristic
1102C2×C22⋊C4C22×D5911yescharacteristic
1103C2×C22⋊C4C22×D5911yescharacteristic
1104C2×C42—591no—
1105C2×C42—591no—
1106C2×C42—591no—
1107C2×C42—591no—
1108C2×C42—591no—
1109C2×C42—591no—
1110C2×C42—591no—
1111C2×C42—591no—
1112C2×C42—591no—
1113C2×C42—1184no—
1114C2×C42—2362no—
1115C2×C42—2362no—
1116C2×C42C22×D5911yescharacteristic
1117C2×C42C22×D5911yescharacteristic
1118C2×C42C22×D5911yescharacteristic
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#95C22×D5911yescharacteristic
1150#95C22×D5911yescharacteristic
1151#95C22×D5911yescharacteristic
1152#95C22×D5911yescharacteristic
1153#95C22×D5911yescharacteristic
1154#95C22×D5911yescharacteristic
1155#95C22×D5911yescharacteristic
1156#95C22×D5911yescharacteristic
1157#95C22×D5911yescharacteristic
1158#95C22×D5911yescharacteristic
1159C24—591no—
1160C24—591no—
1161C24—591no—
1162C24—1182no—
1163C24—1182no—
1164C24—1182no—
1165C24—1182no—
1166C24—1182no—
1167C24—1182no—
1168C24—1182no—
1169C24—1182no—
1170C24—1182no—
1171C24—1182no—
1172C24—1182no—
1173C24—1182no—
1174C24—1182no—
1175C24—1182no—
1176C24C23×D5911yescharacteristic
1177C24C23×D5911yescharacteristic
1178C2×D4—22no—
1179C2×D4—41no—
1180C2×D4—41no—
1181C2×D4—1182no—
1182C2×D4—1182no—
1183C2×D4—1182no—
1184C2×D4—2361no—
1185C2×D4—2361no—
1186C2×D4—23616no—
1187C2×D4—2361no—
1188C2×D4—2361no—
1189C2×D4—2361no—
1190C2×D4—2361no—
1191C22×C4—591no—
1192C22×C4—591no—
1193C22×C4—591no—
1194C22×C4—594no—
1195C22×C4—594no—
1196C22×C4—594no—
1197C22×C4—591no—
1198C22×C4—591no—
1199C22×C4—591no—
1200C22×C4—591no—
1201C22×C4—591no—
1202C22×C4—591no—
1203C22×C4—591no—
1204C22×C4—591no—
1205C22×C4—591no—
1206C22×C4—591no—
1207C22×C4—1182no—
1208C22×C4—1182no—
1209C22×C4—1182no—
1210C22×C4—1182no—
1211C22×C4—1182no—
1212C22×C4—1182no—
1213C22×C4—1182no—
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×C4C23×D5911yescharacteristic
1244C22×C4C23×D5911yescharacteristic
1245C22×C4C23×D5911yescharacteristic
1246C22×C4C23×D5911yescharacteristic
1247C22×C4C23×D5911yescharacteristic
1248C22×C4C23×D5911yescharacteristic
1249C22×C4C23×D5911yescharacteristic
1250C22×C4C23×D5911yescharacteristic
1251C22×C4C23×D5911yescharacteristic
1252C22×C4C23×D5911yescharacteristic
1253C22×C4C23×D5911yescharacteristic
1254C22×C4C23×D5911yescharacteristic
1255C22×C4C23×D5911yescharacteristic
1256C4⋊C4—22no—
1257C4⋊C4—22no—
1258C4⋊C4—22no—
1259C4⋊C4—41no—
1260C4⋊C4—41no—
1261C4⋊C4—41no—
1262C4⋊C4—41no—
1263C4⋊C4—41no—
1264C4⋊C4—41no—
1265C4⋊C4—1182no—
1266C4⋊C4—1182no—
1267C4⋊C4—1182no—
1268C4⋊C4—1182no—
1269C4⋊C4—1182no—
1270C4⋊C4—1182no—
1271C4⋊C4—1182no—
1272C4⋊C4—1182no—
1273C4⋊C4—1182no—
1274C4⋊C4—2361no—
1275C4⋊C4—2361no—
1276C4⋊C4—2361no—
1277C4⋊C4—2361no—
1278C4⋊C4—2361no—
1279C4⋊C4—2361no—
1280C4⋊C4—2361no—
1281C4⋊C4—2361no—
1282C4⋊C4—2361no—
1283C4⋊C4—2361no—
1284C4⋊C4—2361no—
1285C4⋊C4—2361no—
1286C4⋊C4—2361no—
1287C4⋊C4—2361no—
1288C4⋊C4—2361no—
1289C4⋊C4—2361no—
1290C4⋊C4—2361no—
1291C4⋊C4—2361no—
1292C22⋊C4—22no—
1293C22⋊C4—22no—
1294C22⋊C4—22no—
1295C22⋊C4—22no—
1296C22⋊C4—41no—
1297C22⋊C4—41no—
1298C22⋊C4—41no—
1299C22⋊C4—41no—
1300C22⋊C4—41no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
1303C22⋊C4—41no—
1304C22⋊C4—1182no—
1305C22⋊C4—1182no—
1306C22⋊C4—1182no—
1307C22⋊C4—1182no—
1308C22⋊C4—1182no—
1309C22⋊C4—1182no—
1310C22⋊C4—1182no—
1311C22⋊C4—1182no—
1312C22⋊C4—1182no—
1313C22⋊C4—1182no—
1314C22⋊C4—1182no—
1315C22⋊C4—1182no—
1316C22⋊C4—2361no—
1317C22⋊C4—2361no—
1318C22⋊C4—2361no—
1319C22⋊C4—2361no—
1320C22⋊C4—2361no—
1321C22⋊C4—2361no—
1322C22⋊C4—2361no—
1323C22⋊C4—2361no—
1324C22⋊C4—2361no—
1325C22⋊C4—2361no—
1326C22⋊C4—2361no—
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—
1340C42—22no—
1341C42—41no—
1342C42—41no—
1343C42—1182no—
1344C42—1182no—
1345C42—1182no—
1346C42—2361no—
1347C42—2361no—
1348C42—2361no—
1349C42—2361no—
1350C42—2361no—
1351C42—2361no—
1352C23—21no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—592no—
1367C23—592no—
1368C23—592no—
1369C23—592no—
1370C23—592no—
1371C23—592no—
1372C23—592no—
1373C23—1181no—
1374C23—1181no—
1375C23—1181no—
1376C23—1181no—
1377C23—1181no—
1378C23—1181no—
1379C23—1181no—
1380C23—1181no—
1381C23—1181no—
1382C23—1181no—
1383C23—1181no—
1384C23—1181no—
1385C23—1181no—
1386C23—1181no—
1387C23—2364no—
1388C23—2364no—
1389C23—2364no—
1390C23—2364no—
1391C23—2364no—
1392C23—2364no—
1393C23—2364no—
1394C23—2364no—
1395C23—2364no—
1396C23—2364no—
1397C23—2364no—
1398C23—2364no—
1399C23—2364no—
1400C23—2364no—
1401C23C24×D5911yescharacteristic
1402D4—44no—
1403D4—2364no—
1404D4—2364no—
1405D4—2364no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
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—592no—
1443C2×C4—592no—
1444C2×C4—592no—
1445C2×C4—1188no—
1446C2×C4—1188no—
1447C2×C4—1188no—
1448C2×C4—1181no—
1449C2×C4—1181no—
1450C2×C4—1181no—
1451C2×C4—1181no—
1452C2×C4—1181no—
1453C2×C4—1181no—
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—2364no—
1485C2×C4—2364no—
1486C2×C4—2364no—
1487C2×C4—2364no—
1488C2×C4—2364no—
1489C2×C4—2364no—
1490C2×C4—2364no—
1491C2×C4—2364no—
1492C2×C4—2364no—
1493C2×C4—2364no—
1494C2×C4#41×D5912yes—
1495C2×C4#41×D5912yes—
1496C2×C4#41×D5912yes—
1497C22—41no—
1498C22—41no—
1499C22—41no—
1500C22—41no—
1501C22—41no—
1502C22—41no—
1503C22—41no—
1504C22—41no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—594no—
1512C22—594no—
1513C22—594no—
1514C22—594no—
1515C22—594no—
1516C22—594no—
1517C22—594no—
1518C22—4728no—
1519C22—4728no—
1520C22—2361no—
1521C22—2361no—
1522C22—2361no—
1523C22—2361no—
1524C22—2361no—
1525C22—2361no—
1526C22—2361no—
1527C22—2361no—
1528C22—2361no—
1529C22—2361no—
1530C22—2361no—
1531C22—2361no—
1532C22—2361no—
1533C22—2361no—
1534C22C2×#41×D5911yescharacteristic
1535C22C2×#41×D5911yescharacteristic
1536C22C2×#41×D5911yescharacteristic
1537C22H(5,𝔽2)×D5911yescharacteristic
1538C22H(5,𝔽2)×D5911yescharacteristic
1539C22H(5,𝔽2)×D5911yescharacteristic
1540C222−1+4×D5911yescharacteristic
1541C4—22no—
1542C4—22no—
1543C4—22no—
1544C4—41no—
1545C4—41no—
1546C4—41no—
1547C4—41no—
1548C4—41no—
1549C4—41no—
1550C4—41no—
1551C4—41no—
1552C4—41no—
1553C4—41no—
1554C4—1182no—
1555C4—1182no—
1556C4—1182no—
1557C4—2361no—
1558C4—2361no—
1559C4—2361no—
1560C4—2361no—
1561C4—2361no—
1562C4—2361no—
1563C4—2361no—
1564C4—2361no—
1565C4—2361no—
1566C4—2361no—
1567C2—81no—
1568C2—81no—
1569C2—598no—
1570C2—4721no—
1571C2—4721no—
1572C2#529×D5911yescharacteristic
1573C2#538×D5911yescharacteristic
1574C2#539×D5911yescharacteristic
1575C2#540×D5911yescharacteristic
1576C2#540×D5911yescharacteristic
1577C2#542×D5911yescharacteristic
1578C2#542×D5911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2651C2
prime radicalC22×D4×D59C22
hypercenter#2651D59
hypocenterC59C2×#2651
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2651

Complements

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

NH ≅ G/Ntype
1. #21430136C2semidirect
2. #21430135C2semidirect
3. #21430134C2semidirect
4. #21430133C2semidirect
5. #21430132C2semidirect
6. #21430131C2semidirect
7. #21430130C2semidirect
8. #21430129C2semidirect
9. #21430128C2semidirect
10. #21430127C2semidirect
11. #21430126C2semidirect
12. #21430125C2semidirect
13. #21430124C2semidirect
14. #21430123C2semidirect
15. #21430122C2semidirect
16. #399×D59C2semidirect
17. #398×D59C2semidirect
18. #398×D59C2semidirect
19. #397×D59C2semidirect
20. #397×D59C2semidirect
21. #396×D59C2semidirect
25. #388×D59C2semidirect
26. #388×D59C2semidirect
27. #388×D59C2semidirect
28. #388×D59C2semidirect
29. #387×D59C2semidirect
30. C4×C4⋊C4×D59C2semidirect
31. C59×#2651C2semidirect
57. #16837339C22semidirect
58. #16837338C22semidirect
59. #16837338C22semidirect
60. #16837338C22semidirect
61. #16837337C22semidirect
62. #16837337C22semidirect
63. #16837337C22semidirect
64. #16837336C22semidirect
65. #16837336C22semidirect
66. #16837336C22semidirect
67. #16837336C22semidirect
68. #16837335C22semidirect
69. #16837335C22semidirect
70. #16837335C22semidirect
71. #16837335C22semidirect
72. #16837334C22semidirect
73. #16837334C22semidirect
74. #16837333C22semidirect
75. #16837333C22semidirect
76. #16837332C22semidirect
77. #16837332C22semidirect
78. #16837331C22semidirect
79. #16837331C22semidirect
80. #16837331C22semidirect
81. #16837331C22semidirect
82. #16837330C22semidirect
83. #16837330C22semidirect
84. #16837330C22semidirect
85. #16837330C22semidirect
86. #16837329C22semidirect
87. #16837329C22semidirect
88. #16837328C22semidirect
89. #16837328C22semidirect
90. #16837327C22semidirect
91. #16837327C22semidirect
92. #16837326C22semidirect
93. #16837325C22semidirect
94. #16837325C22semidirect
95. #16837325C22semidirect
96. #16837324C22semidirect
97. #16837324C22semidirect
98. #16837324C22semidirect
120. #16837296C22semidirect
121. #16837296C22semidirect
122. #16837296C22semidirect
123. #16837296C22semidirect
124. #16837295C22semidirect
125. #16837295C22semidirect
126. #16837295C22semidirect
127. #16837295C22semidirect
128. #16837294C22semidirect
129. #16837294C22semidirect
130. #16837294C22semidirect
131. #16837294C22semidirect
132. #16837293C22semidirect
133. #16837293C22semidirect
134. #16837293C22semidirect
135. #16837293C22semidirect
136. #16837292C22semidirect
137. #16837292C22semidirect
138. #16837292C22semidirect
139. #16837292C22semidirect
140. #16837291C22semidirect
141. #16837291C22semidirect
142. #16837291C22semidirect
143. #16837291C22semidirect
144. #16837290C22semidirect
145. #16837290C22semidirect
146. #16837290C22semidirect
147. #16837290C22semidirect
148. #16837289C22semidirect
149. #16837288C22semidirect
150. #16837287C22semidirect
151. #16837286C22semidirect
152. #16837285C22semidirect
153. #16837284C22semidirect
154. #16837283C22semidirect
155. C4⋊C4×Dic59C22semidirect
156. C4⋊C4×Dic59C22semidirect
157. C4×Dic59⋊C4C22semidirect
158. C4×Dic59⋊C4C22semidirect
159. C4×C4⋊Dic59C22semidirect
160. #16837253C22semidirect
161. #16837253C22semidirect
172. C59×#399C22semidirect
173. C59×#398C22semidirect
174. C59×#398C22semidirect
175. C59×#397C22semidirect
176. C59×#397C22semidirect
177. C59×#396C22semidirect
181. C59×#388C22semidirect
182. C59×#388C22semidirect
183. C59×#388C22semidirect
184. C59×#388C22semidirect
185. C59×#387C22semidirect
186. C4×C4⋊C4×C59C22semidirect
793. #2651D59direct (N × H)
820. D59#2651direct (N × H)
853. #399C2×D59semidirect
868. #398C2×D59semidirect
869. #398C2×D59semidirect
884. #397C2×D59semidirect
885. #397C2×D59semidirect
893. #396C2×D59semidirect
946. #388C2×D59semidirect
947. #388C2×D59semidirect
948. #388C2×D59semidirect
949. #388C2×D59semidirect
957. #387C2×D59semidirect
965. C4×C4⋊C4C2×D59semidirect
976. C59C2×#2651semidirect

Maximal subgroups

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

subgroupindex
#214301362
#214301352
#214301342
#214301332
#214301322
#214301312
#214301302
#214301292
#214301282
#214301272
#214301262
#214301252
#214301242
#214301232
#214301222
#399×D592
#398×D592
#397×D592
#396×D592
#394×D592
#390×D592
#388×D592
#387×D592
C4×C4⋊C4×D592
C59×#26512
C2×#265159