Finite Group Databasebeta

← #28797024

Subgroups — #28797024

Order 15104.

2454 conjugacy classes of subgroups.

The subgroup lattice has 1786 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21432388C211yesmaximal, characteristic, complemented
2#21432378C211yesmaximal, characteristic, complemented
3#21431715C211yesmaximal, characteristic, complemented
4#21431714C211yesmaximal, characteristic, complemented
5#21431472C211yesmaximal, characteristic, complemented
6#21431328C211yesmaximal, characteristic, complemented
7#21431319C211yesmaximal, characteristic, complemented
8#21431313C211yesmaximal, characteristic, complemented
9#21431239C211yesmaximal, characteristic, complemented
10#21430740C211yesmaximal, characteristic, complemented
11#21430660C211yesmaximal, characteristic, complemented
12#21430650C211yesmaximal, characteristic, complemented
13#21430536C211yesmaximal, characteristic, complemented
14#21430529C211yesmaximal, characteristic, complemented
15#21430473C211yesmaximal, characteristic, complemented
16#21430422C211yesmaximal, characteristic, complemented
17#21430398C211yesmaximal, characteristic, complemented
18#21430301C211yesmaximal, characteristic, complemented
19#21430049C211yesmaximal, characteristic, complemented
20#21430024C211yesmaximal, characteristic, complemented
21#21428656C211yesmaximal, characteristic, complemented
22#21428216C211yesmaximal, characteristic, complemented
23#21427846C211yesmaximal, characteristic, complemented
24#21427757C211yesmaximal, characteristic, complemented
25#21427632C211yesmaximal, characteristic, complemented
26#21427470C211yesmaximal, characteristic, complemented
27#21427464C211yesmaximal, characteristic, complemented
28#21427406C211yesmaximal, characteristic, complemented
29#21426754C211yesmaximal, characteristic, complemented
30#21426671C211yesmaximal, characteristic, complemented
31C2×C59×#386C211yesmaximal, characteristic, complemented
32C23×C22⋊D59C2211yescharacteristic
33C2×#14273713C2211yescharacteristic, complemented
34C2×#14273710C2211yescharacteristic, complemented
35C2×#14273710C2211yescharacteristic, complemented
36C2×#14273706C2211yescharacteristic, complemented
37C2×#14273704C2211yescharacteristic, complemented
38C2×#14273701C2211yescharacteristic
39C2×#14273701C2211yescharacteristic
40C2×#14273701C2211yescharacteristic, complemented
41C2×#14273701C2211yescharacteristic, complemented
42C2×#14273700C2211yescharacteristic, complemented
43C2×#14273699C2211yescharacteristic, complemented
44C2×#14273699C2211yescharacteristic, complemented
45C2×#14273697C2211yescharacteristic, complemented
46C2×#14273696C2211yescharacteristic
47C2×#14273696C2211yescharacteristic
48C2×#14273696C2211yescharacteristic
49C2×#14273696C2211yescharacteristic, complemented
50C2×#14273695C2211yescharacteristic
51C2×#14273695C2211yescharacteristic
52C2×C4×C22⋊D59C2211yescharacteristic, complemented
53C22×C22⋊Dic59C2211yescharacteristic
54C59⋊#401C2211yescharacteristic, complemented
55C59⋊#401C2211yescharacteristic, complemented
56#16837344C2211yescharacteristic, complemented
57#16837344C2211yescharacteristic, complemented
58#16837343C2211yescharacteristic, complemented
59#16837343C2211yescharacteristic, complemented
60#16837343C2211yescharacteristic, complemented
61#16837342C2211yescharacteristic, complemented
62#16837342C2211yescharacteristic, complemented
63#16837338C2211yescharacteristic, complemented
64#16837331C2211yescharacteristic, complemented
65#16837331C2211yescharacteristic, complemented
66#16837331C2211yescharacteristic, complemented
67#16837331C2211yescharacteristic, complemented
68#16837331C2211yescharacteristic, complemented
69#16837331C2211yescharacteristic, complemented
70#16837330C2211yescharacteristic, complemented
71#16837329C2211yescharacteristic, complemented
72#16837329C2211yescharacteristic, complemented
73#16837329C2211yescharacteristic, complemented
74#16837326C2211yescharacteristic, complemented
75#16837325C2211yescharacteristic, complemented
76#16837325C2211yescharacteristic, complemented
77#16837325C2211yescharacteristic, complemented
78#16837320C2211yescharacteristic, complemented
79#16837320C2211yescharacteristic, complemented
80#16837320C2211yescharacteristic, complemented
81#16837318C2211yescharacteristic, complemented
82#16837318C2211yescharacteristic, complemented
83#16837318C2211yescharacteristic, complemented
84#16837317C2211yescharacteristic, complemented
85#16837317C2211yescharacteristic, complemented
86#16837317C2211yescharacteristic, complemented
87#16837316C2211yescharacteristic
88#16837316C2211yescharacteristic
89#16837315C2211yescharacteristic, complemented
90#16837315C2211yescharacteristic, complemented
91#16837314C2211yescharacteristic, complemented
92#16837314C2211yescharacteristic, complemented
93#16837311C2211yescharacteristic, complemented
94#16837311C2211yescharacteristic, complemented
95#16837311C2211yescharacteristic, complemented
96#16837310C2211yescharacteristic
97#16837310C2211yescharacteristic
98#16837310C2211yescharacteristic
99#16837310C2211yescharacteristic
100#16837310C2211yescharacteristic
101#16837310C2211yescharacteristic
102#16837302C2211yescharacteristic, complemented
103#16837302C2211yescharacteristic, complemented
104#16837302C2211yescharacteristic, complemented
105#16837302C2211yescharacteristic, complemented
106#16837296C2211yescharacteristic, complemented
107#16837296C2211yescharacteristic, complemented
108#16837295C2211yescharacteristic, complemented
109#16837295C2211yescharacteristic, complemented
110#16837294C2211yescharacteristic, complemented
111#16837291C2211yescharacteristic, complemented
112#16837291C2211yescharacteristic, complemented
113#16837290C2211yescharacteristic, complemented
114#16837290C2211yescharacteristic, complemented
115#16837290C2211yescharacteristic, complemented
116#16837289C2211yescharacteristic, complemented
117#16837285C2211yescharacteristic, complemented
118#16837282C2211yescharacteristic
119#16837282C2211yescharacteristic
120#16837282C2211yescharacteristic, complemented
121#16837282C2211yescharacteristic, complemented
122#16837281C2211yescharacteristic
123#16837281C2211yescharacteristic
124#16837281C2211yescharacteristic
125#16837281C2211yescharacteristic
126#16837281C2211yescharacteristic
127#16837281C2211yescharacteristic
128#16837281C2211yescharacteristic
129#16837281C2211yescharacteristic
130#16837281C2211yescharacteristic, complemented
131#16837281C2211yescharacteristic, complemented
132#16837281C2211yescharacteristic, complemented
133#16837281C2211yescharacteristic, complemented
134#16837281C2211yescharacteristic, complemented
135#16837281C2211yescharacteristic, complemented
136#16837281C2211yescharacteristic, complemented
137#16837281C2211yescharacteristic, complemented
138#16837280C2211yescharacteristic, complemented
139#16837279C2211yescharacteristic, complemented
140#16837279C2211yescharacteristic, complemented
141#16837279C2211yescharacteristic, complemented
142#16837279C2211yescharacteristic, complemented
143#16837279C2211yescharacteristic, complemented
144#16837278C2211yescharacteristic, complemented
145#16837278C2211yescharacteristic, complemented
146#16837278C2211yescharacteristic, complemented
147#16837277C2211yescharacteristic, complemented
148#16837277C2211yescharacteristic, complemented
149#16837275C2211yescharacteristic, complemented
150#16837275C2211yescharacteristic, complemented
151#16837275C2211yescharacteristic, complemented
152#16837275C2211yescharacteristic, complemented
153#16837275C2211yescharacteristic, complemented
154#16837275C2211yescharacteristic, complemented
155#16837274C2211yescharacteristic, complemented
156#16837269C2211yescharacteristic, complemented
157#16837265C2211yescharacteristic, complemented
158#16837265C2211yescharacteristic, complemented
159#16837264C2211yescharacteristic, complemented
160#16837263C2211yescharacteristic, complemented
161#16837263C2211yescharacteristic, complemented
162#16837262C2211yescharacteristic, complemented
163#16837262C2211yescharacteristic, complemented
164#16837262C2211yescharacteristic, complemented
165#16837260C2211yescharacteristic, complemented
166#16837258C2211yescharacteristic
167#16837258C2211yescharacteristic, complemented
168#16837257C2211yescharacteristic, complemented
169#16837257C2211yescharacteristic, complemented
170#16837257C2211yescharacteristic, complemented
171C4×C22⋊Dic59C2211yescharacteristic, complemented
172C23×D4×C59C2211yescharacteristic
173C24×C4×C59C2211yescharacteristic, complemented
174C22×C22⋊C4×C59C2211yescharacteristic
175C22×C22⋊C4×C59C2211yescharacteristic
176C22×C22⋊C4×C59C2211yescharacteristic, complemented
177C59×#386C2211yescharacteristic
178C59×#386C2211yescharacteristic
179C59×#386C2211yescharacteristic
180C59×#386C2211yescharacteristic
181C59×#386C2211yescharacteristic, complemented
182C59×#386C2211yescharacteristic, complemented
183C59×#386C2211yescharacteristic, complemented
184C59×#386C2211yescharacteristic, complemented
185C2×#95×C59C2211yescharacteristic, complemented
186C2×#95×C59C2211yescharacteristic, complemented
187C24×D59C2311yescharacteristic
188C22×Dic118C2311yescharacteristic
189C22×D236C2311yescharacteristic
190C22×D236C2311yescharacteristic
191C22×C22⋊D59—24no—
192C22×C22⋊D59—42no—
193C22×C22⋊D59—42no—
194C22×C22⋊D59C2311yescharacteristic
195C22×C22⋊D59C2311yescharacteristic
196C22×C22⋊D59C2311yescharacteristic
197C22×C22⋊D59C2311yescharacteristic
198C22×C22⋊D59C2311yescharacteristic
199C22×C22⋊D59C2311yescharacteristic
200C22×C22⋊D59C2311yescharacteristic
201C22×C22⋊D59C2311yescharacteristic
202C22×C22⋊D59C2311yescharacteristic
203C22×C22⋊D59C2311yescharacteristic
204C22×C22⋊D59C2311yescharacteristic
205C22×C22⋊D59C2311yescharacteristic
206C22×C22⋊D59C2311yescharacteristic
207C23×Dic59C2311yescharacteristic
208C23×Dic59C2311yescharacteristic
209C23×Dic59C2311yescharacteristic
210C22×C4×D59C2311yescharacteristic
211#14273713—42no—
212#14273710—42no—
213#14273710—42no—
214#14273706—42no—
215#14273704—42no—
216#14273701—42no—
217#14273701—42no—
218#14273701—42no—
219#14273701—42no—
220#14273700—42no—
221#14273699—42no—
222#14273699—42no—
223#14273697—42no—
224#14273696—24no—
225#14273696—42no—
226#14273696—42no—
227#14273696—42no—
228#14273695—42no—
229#14273695—42no—
230C4×C22⋊D59—42no—
231C2×C4⋊Dic59C2311yescharacteristic
232C2×C4⋊Dic59C2311yescharacteristic
233C2×C4⋊Dic59C2311yescharacteristic
234C2×C4⋊Dic59C2311yescharacteristic
235C2×C4⋊Dic59C2311yescharacteristic
236C2×Dic59⋊C4C2311yescharacteristic
237C2×Dic59⋊C4C2311yescharacteristic
238C2×Dic59⋊C4C2311yescharacteristic
239C2×Dic59⋊C4C2311yescharacteristic
240C2×Dic59⋊C4C2311yescharacteristic
241C2×Dic59⋊C4C2311yescharacteristic
242C2×Dic59⋊C4C2311yescharacteristic
243C2×Dic59⋊C4C2311yescharacteristic
244C2×Dic59⋊C4C2311yescharacteristic
245C2×Dic59⋊C4C2311yescharacteristic
246C2×Dic59⋊C4C2311yescharacteristic
247C2×C22⋊Dic59—42no—
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×C22⋊Dic59C2311yescharacteristic
261C2×C22⋊Dic59C2311yescharacteristic
262C2×C22⋊Dic59C2311yescharacteristic
263C2×C22⋊Dic59C2311yescharacteristic
264C2×C22⋊Dic59C2311yescharacteristic
265C2×C22⋊Dic59C2311yescharacteristic
266C2×C22⋊Dic59C2311yescharacteristic
267C2×C22⋊Dic59C2311yescharacteristic
268C2×C22⋊Dic59C2311yescharacteristic
269C2×C22⋊Dic59C2311yescharacteristic
270C2×C22⋊Dic59C2311yescharacteristic
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
288C2×(C2×D59)⋊C4C2311yescharacteristic
289C2×(C2×D59)⋊C4C2311yescharacteristic
290C2×(C2×D59)⋊C4C2311yescharacteristic
291C2×(C2×D59)⋊C4C2311yescharacteristic
292C2×(C2×D59)⋊C4C2311yescharacteristic
293C2×(C2×D59)⋊C4C2311yescharacteristic
294C2×(C2×D59)⋊C4C2311yescharacteristic
295C2×(C2×D59)⋊C4C2311yescharacteristic
296C2×C4×Dic59C2311yescharacteristic
297C2×C4×Dic59C2311yescharacteristic
298C2×C4×Dic59C2311yescharacteristic
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
331C25×C59C2311yescharacteristic
332C25×C59C2311yescharacteristic
333C22×D4×C59—24no—
334C22×D4×C59—42no—
335C22×D4×C59—42no—
336C22×D4×C59C2311yescharacteristic
337C22×D4×C59C2311yescharacteristic
338C22×D4×C59C2311yescharacteristic
339C22×D4×C59C2311yescharacteristic
340C23×C4×C59—42no—
341C23×C4×C59—42no—
342C23×C4×C59—42no—
343C23×C4×C59C2311yescharacteristic
344C23×C4×C59C2311yescharacteristic
345C23×C4×C59C2311yescharacteristic
346C23×C4×C59C2311yescharacteristic
347C23×C4×C59C2311yescharacteristic
348C23×C4×C59C2311yescharacteristic
349C23×C4×C59C2311yescharacteristic
350C23×C4×C59C2311yescharacteristic
351C23×C4×C59C2311yescharacteristic
352C2×C22⋊C4×C59—42no—
353C2×C22⋊C4×C59—42no—
354C2×C22⋊C4×C59—42no—
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×C22⋊C4×C59C2311yescharacteristic
364C2×C22⋊C4×C59C2311yescharacteristic
365C2×C22⋊C4×C59C2311yescharacteristic
366C2×C22⋊C4×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×C59—22no—
376C24×C59—22no—
377C24×C59—22no—
378C24×C59—22no—
379C24×C59—22no—
380C24×C59—22no—
381C24×C59—22no—
382C24×C59—41no—
383C24×C59—41no—
384C24×C59—41no—
385C24×C59—41no—
386C24×C59—41no—
387C24×C59—41no—
388C24×C59#4114yes—
389C24×C59C2411yescharacteristic
390C24×C59C2411yescharacteristic
391C24×C59C2411yescharacteristic
392C24×C59C2411yescharacteristic
393C24×C59C2411yescharacteristic
394C23×D59—22no—
395C23×D59—41no—
396C23×D59—41no—
397C23×D59—41no—
398C23×D59—41no—
399C23×D59—41no—
400C23×D59—41no—
401C23×D59C2411yescharacteristic
402C23×D59C2411yescharacteristic
403C23×D59C2411yescharacteristic
404C2×D4×C59—22no—
405C2×D4×C59—22no—
406C2×D4×C59—22no—
407C2×D4×C59—22no—
408C2×D4×C59—22no—
409C2×D4×C59—22no—
410C2×D4×C59—22no—
411C2×D4×C59—22no—
412C2×D4×C59—41no—
413C2×D4×C59—41no—
414C2×D4×C59—41no—
415C2×D4×C59—41no—
416C2×D4×C59—416no—
417C22×C4×C59—22no—
418C22×C4×C59—22no—
419C22×C4×C59—22no—
420C22×C4×C59—22no—
421C22×C4×C59—22no—
422C22×C4×C59—22no—
423C22×C4×C59—22no—
424C22×C4×C59—22no—
425C22×C4×C59—22no—
426C22×C4×C59—22no—
427C22×C4×C59—41no—
428C22×C4×C59—41no—
429C22×C4×C59—41no—
430C22×C4×C59—41no—
431C22×C4×C59—41no—
432C22×C4×C59—41no—
433C22×C4×C59—41no—
434C22×C4×C59—41no—
435C22×C4×C59—41no—
436C22×C4×C59—41no—
437C22×C4×C59—41no—
438C22×C4×C59—41no—
439C22×C4×C59—41no—
440C22×C4×C59—41no—
441C22×C4×C59—41no—
442C22×C4×C59—41no—
443C22×C4×C59—41no—
444C22×C4×C59—416no—
445C22×C4×C59C2411yescharacteristic
446C22×C4×C59C2411yescharacteristic
447C22×C4×C59C2411yescharacteristic
448C22×C4×C59C2411yescharacteristic
449C22×C4×C59C2411yescharacteristic
450C22×C4×C59C2411yescharacteristic
451C22×C4×C59C2411yescharacteristic
452C22×C4×C59C2411yescharacteristic
453C22×C4×C59C2411yescharacteristic
454C22×C4×C59C2411yescharacteristic
455C2×C22⋊D59—22no—
456C2×C22⋊D59—22no—
457C2×C22⋊D59—22no—
458C2×C22⋊D59—22no—
459C2×C22⋊D59—22no—
460C2×C22⋊D59—22no—
461C2×C22⋊D59—22no—
462C2×C22⋊D59—22no—
463C2×C22⋊D59—22no—
464C2×C22⋊D59—22no—
465C2×C22⋊D59—22no—
466C2×C22⋊D59—22no—
467C2×C22⋊D59—22no—
468C2×C22⋊D59—22no—
469C2×C22⋊D59—22no—
470C2×C22⋊D59—22no—
471C2×C22⋊D59—22no—
472C2×C22⋊D59—22no—
473C2×C22⋊D59—22no—
474C2×C22⋊D59—41no—
475C2×C22⋊D59—41no—
476C2×C22⋊D59—41no—
477C2×C22⋊D59—41no—
478C2×C22⋊D59—41no—
479C2×C22⋊D59—41no—
480C2×C22⋊D59—41no—
481C2×C22⋊D59—41no—
482C2×C22⋊D59—41no—
483C2×C22⋊D59—41no—
484C2×C22⋊D59—41no—
485C2×C22⋊D59—41no—
486C2×C22⋊D59—41no—
487C2×C22⋊D59—41no—
488C2×C22⋊D59—41no—
489C2×C22⋊D59—41no—
490C2×C22⋊D59—41no—
491C2×C22⋊D59—41no—
492C2×C22⋊D59—41no—
493C2×C22⋊D59—41no—
494C2×C22⋊D59—416no—
495C22×Dic59—22no—
496C22×Dic59—41no—
497C22×Dic59—41no—
498C22×Dic59—41no—
499C22×Dic59—41no—
500C22×Dic59—41no—
501C22×Dic59—41no—
502C22×Dic59—41no—
503C22×Dic59—41no—
504C22×Dic59C2411yescharacteristic
505C22×Dic59C2411yescharacteristic
506C22×Dic59C2411yescharacteristic
507C22×Dic59C2411yescharacteristic
508C22×Dic59C2411yescharacteristic
509C22×Dic59C2411yescharacteristic
510C22×Dic59C2411yescharacteristic
511C22×Dic59C2411yescharacteristic
512C22×Dic59C2411yescharacteristic
513C22×Dic59C2411yescharacteristic
514C22×Dic59C2411yescharacteristic
515C22×Dic59C2411yescharacteristic
516C22×Dic59C2411yescharacteristic
517C2×D236—22no—
518C2×D236—41no—
519C2×D236—41no—
520C2×D236—41no—
521C2×D236—41no—
522C2×D236—41no—
523C2×C4×D59—41no—
524C2×C4×D59—41no—
525C2×C4×D59—41no—
526C2×Dic118—41no—
527C2×Dic118—41no—
528C2×Dic118—41no—
529C22⋊C4×C59—22no—
530C22⋊C4×C59—22no—
531C22⋊C4×C59—22no—
532C22⋊C4×C59—22no—
533C22⋊C4×C59—41no—
534C22⋊C4×C59—41no—
535C22⋊C4×C59—41no—
536C22⋊C4×C59—41no—
537C22⋊C4×C59—41no—
538C22⋊C4×C59—41no—
539C22⋊C4×C59—41no—
540C22⋊C4×C59—41no—
541C22⋊Dic59—22no—
542C22⋊Dic59—22no—
543C22⋊Dic59—22no—
544C22⋊Dic59—22no—
545C22⋊Dic59—22no—
546C22⋊Dic59—22no—
547C22⋊Dic59—22no—
548C22⋊Dic59—22no—
549C22⋊Dic59—22no—
550C22⋊Dic59—41no—
551C22⋊Dic59—41no—
552C22⋊Dic59—41no—
553C22⋊Dic59—41no—
554C22⋊Dic59—41no—
555C22⋊Dic59—41no—
556C22⋊Dic59—41no—
557C22⋊Dic59—41no—
558C22⋊Dic59—41no—
559C22⋊Dic59—41no—
560C22⋊Dic59—41no—
561C22⋊Dic59—41no—
562C22⋊Dic59—41no—
563C22⋊Dic59—41no—
564(C2×D59)⋊C4—22no—
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—
578(C2×D59)⋊C4—41no—
579(C2×D59)⋊C4—41no—
580(C2×D59)⋊C4—41no—
581(C2×D59)⋊C4—41no—
582(C2×D59)⋊C4—41no—
583(C2×D59)⋊C4—41no—
584(C2×D59)⋊C4—41no—
585(C2×D59)⋊C4—41no—
586(C2×D59)⋊C4—41no—
587(C2×D59)⋊C4—41no—
588(C2×D59)⋊C4—41no—
589C4⋊Dic59—22no—
590C4⋊Dic59—41no—
591C4⋊Dic59—41no—
592C4⋊Dic59—41no—
593C4⋊Dic59—41no—
594Dic59⋊C4—22no—
595Dic59⋊C4—41no—
596Dic59⋊C4—41no—
597Dic59⋊C4—41no—
598Dic59⋊C4—41no—
599Dic59⋊C4—41no—
600Dic59⋊C4—41no—
601Dic59⋊C4—41no—
602Dic59⋊C4—41no—
603Dic59⋊C4—41no—
604Dic59⋊C4—41no—
605C4×Dic59—41no—
606C4×Dic59—41no—
607C4×Dic59—41no—
608C23×C59—21no—
609C23×C59—21no—
610C23×C59—21no—
611C23×C59—21no—
612C23×C59—28no—
613C23×C59—21no—
614C23×C59—21no—
615C23×C59—21no—
616C23×C59—21no—
617C23×C59—21no—
618C23×C59—21no—
619C23×C59—21no—
620C23×C59—21no—
621C23×C59—21no—
622C23×C59—21no—
623C23×C59—21no—
624C23×C59—21no—
625C23×C59—21no—
626C23×C59—21no—
627C23×C59—21no—
628C23×C59—21no—
629C23×C59—21no—
630C23×C59—21no—
631C23×C59—21no—
632C23×C59—21no—
633C23×C59—21no—
634C23×C59—21no—
635C23×C59—21no—
636C23×C59—21no—
637C23×C59—28no—
638C23×C59—44no—
639C23×C59—44no—
640C23×C59—44no—
641C23×C59—44no—
642C23×C59—44no—
643C23×C59—44no—
644C23×C59—44no—
645C23×C59—44no—
646C23×C59—82no—
647C23×C59—82no—
648C23×C59—82no—
649C23×C59—82no—
650C23×C59C2×#4112yes—
651C23×C59C2×#4112yes—
652C23×C59C2×#4112yes—
653C23×C59H(5,𝔽2)12yes—
654C23×C59H(5,𝔽2)12yes—
655C23×C59H(5,𝔽2)12yes—
656C23×C59H(5,𝔽2)12yes—
657C23×C59C2511yescharacteristic
658C22×D59—21no—
659C22×D59—21no—
660C22×D59—21no—
661C22×D59—21no—
662C22×D59—21no—
663C22×D59—21no—
664C22×D59—21no—
665C22×D59—21no—
666C22×D59—21no—
667C22×D59—21no—
668C22×D59—21no—
669C22×D59—21no—
670C22×D59—21no—
671C22×D59—21no—
672C22×D59—21no—
673C22×D59—21no—
674C22×D59—21no—
675C22×D59—21no—
676C22×D59—21no—
677C22×D59—21no—
678C22×D59—21no—
679C22×D59—44no—
680C22×D59—82no—
681C22×D59—82no—
682C22×D59—82no—
683C22×D59—82no—
684C22×D59—82no—
685C22×D59—82no—
686D4×C59—44no—
687D4×C59—44no—
688D4×C59—44no—
689D4×C59—44no—
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—21no—
708C2×C4×C59—21no—
709C2×C4×C59—21no—
710C2×C4×C59—21no—
711C2×C4×C59—21no—
712C2×C4×C59—21no—
713C2×C4×C59—21no—
714C2×C4×C59—21no—
715C2×C4×C59—21no—
716C2×C4×C59—21no—
717C2×C4×C59—21no—
718C2×C4×C59—21no—
719C2×C4×C59—44no—
720C2×C4×C59—44no—
721C2×C4×C59—44no—
722C2×C4×C59—44no—
723C2×C4×C59—44no—
724C2×C4×C59—44no—
725C2×C4×C59—44no—
726C2×C4×C59—82no—
727C2×C4×C59—82no—
728C2×C4×C59H(5,𝔽2)12yes—
729C22⋊D59—44no—
730C22⋊D59—44no—
731C22⋊D59—44no—
732C22⋊D59—44no—
733C22⋊D59—44no—
734C22⋊D59—82no—
735C22⋊D59—82no—
736C22⋊D59—82no—
737C22⋊D59—82no—
738C22⋊D59—82no—
739C22⋊D59—82no—
740C22⋊D59—82no—
741C22⋊D59—82no—
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—21no—
751C2×Dic59—21no—
752C2×Dic59—21no—
753C2×Dic59—21no—
754C2×Dic59—21no—
755C2×Dic59—21no—
756C2×Dic59—21no—
757C2×Dic59—21no—
758C2×Dic59—21no—
759C2×Dic59—21no—
760C2×Dic59—21no—
761C2×Dic59—21no—
762C2×Dic59—21no—
763C2×Dic59—21no—
764C2×Dic59—21no—
765C2×Dic59—21no—
766C2×Dic59—21no—
767C2×Dic59—21no—
768C2×Dic59—21no—
769C2×Dic59—21no—
770C2×Dic59—21no—
771C2×Dic59—21no—
772C2×Dic59—21no—
773C2×Dic59—21no—
774C2×Dic59—21no—
775C2×Dic59—21no—
776C2×Dic59—21no—
777C2×Dic59—21no—
778C2×Dic59—21no—
779C2×Dic59—21no—
780C2×Dic59—21no—
781C2×Dic59—44no—
782C2×Dic59—82no—
783C2×Dic59—82no—
784D236—82no—
785D236—82no—
786C4×D59—82no—
787Dic118—82no—
788#36776—591nomaximal, Sylow
789C22×C59—22no—
790C22×C59—22no—
791C22×C59—22no—
792C22×C59—22no—
793C22×C59—22no—
794C22×C59—22no—
795C22×C59—22no—
796C22×C59—22no—
797C22×C59—22no—
798C22×C59—22no—
799C22×C59—22no—
800C22×C59—22no—
801C22×C59—22no—
802C22×C59—22no—
803C22×C59—22no—
804C22×C59—22no—
805C22×C59—22no—
806C22×C59—22no—
807C22×C59—416no—
808C22×C59—41no—
809C22×C59—41no—
810C22×C59—41no—
811C22×C59—41no—
812C22×C59—41no—
813C22×C59—41no—
814C22×C59—41no—
815C22×C59—41no—
816C22×C59—41no—
817C22×C59—41no—
818C22×C59—41no—
819C22×C59—41no—
820C22×C59—41no—
821C22×C59—41no—
822C22×C59—41no—
823C22×C59—41no—
824C22×C59—88no—
825C22×C59#53814yes—
826C22×C59C22×#4111yescharacteristic
827C22×C59C2×H(5,𝔽2)11yescharacteristic
828C22×C59C2×H(5,𝔽2)11yescharacteristic
829C22×C59C2×H(5,𝔽2)11yescharacteristic
830C22×C59C2×H(5,𝔽2)11yescharacteristic
831C22×C59C2×H(5,𝔽2)11yescharacteristic
832C22×C59#58511yescharacteristic
833C2×D59—41no—
834C2×D59—41no—
835C2×D59—41no—
836C2×D59—41no—
837C2×D59—41no—
838C2×D59—41no—
839C2×D59—41no—
840C2×D59—41no—
841C2×D59—41no—
842C2×D59—41no—
843C2×D59—41no—
844C2×D59—41no—
845C2×D59—41no—
846C2×D59—41no—
847C2×D59—41no—
848C2×D59—41no—
849C2×D59—41no—
850C2×D59—41no—
851C2×D59—41no—
852C2×D59—41no—
853C2×D59—41no—
854C2×D59—88no—
855C4×C59—22no—
856C4×C59—41no—
857C4×C59—41no—
858C4×C59—41no—
859C4×C59—41no—
860C4×C59—41no—
861C4×C59—41no—
862C4×C59—41no—
863C4×C59—41no—
864C4×C59—41no—
865Dic59—41no—
866Dic59—41no—
867Dic59—41no—
868Dic59—41no—
869Dic59—41no—
870Dic59—41no—
871Dic59—41no—
872Dic59—41no—
873Dic59—41no—
874Dic59—41no—
875Dic59—41no—
876Dic59—41no—
877Dic59—41no—
878#2849—591no—
879#2847—591no—
880#2778—591no—
881#2778—591no—
882#2760—591no—
883#2750—591no—
884#2749—591no—
885#2749—591no—
886#2743—591no—
887#2703—591no—
888#2697—591no—
889#2696—591no—
890#2688—591no—
891#2688—591no—
892#2684—591no—
893#2678—591no—
894#2676—591no—
895#2668—591no—
896#2643—591no—
897#2639—591no—
898#2510—591no—
899#2472—591no—
900#2444—591no—
901#2437—591no—
902#2424—591no—
903#2410—591no—
904#2410—591no—
905#2403—591no—
906#2321—591no—
907#2308—591no—
908C2×#386D5911yescharacteristic, complemented
909C2×C59—24no—
910C2×C59—42no—
911C2×C59—42no—
912C2×C59—42no—
913C2×C59—42no—
914C2×C59C2×#53811yescharacteristic
915C2×C59#349011yescharacteristic
916C2×C59#350511yescharacteristic
917C2×C59#353211yescharacteristic
918C2×C59#353411yescharacteristic
919C2×C59#353411yescharacteristic
920C2×C59#353711yescharacteristic
921D59—81no—
922D59—81no—
923D59—81no—
924C23×D4—591no—
925C23×D4C2×D5911yescharacteristic
926C24×C4C2×D5911yescharacteristic, complemented
927C2×#124—591no—
928C2×#123—591no—
929C2×#123—591no—
930C2×C22⋊Q8—591no—
931C2×C22⋊Q8—591no—
932C2×#121—591no—
933C2×#121—591no—
934C2×#121—591no—
935C2×#121—591no—
936C2×#121—591no—
937C2×#121—591no—
938C2×#121—591no—
939C2×#120—591no—
940C2×#120—591no—
941C2×#120—591no—
942C2×#120—591no—
943C2×#120—591no—
944C2×#120—591no—
945C2×#120—591no—
946C2×C4×D4—591no—
947C22×C22⋊C4—591no—
948C22×C22⋊C4C2×D5911yescharacteristic
949C22×C22⋊C4C2×D5911yescharacteristic
950C22×C22⋊C4C2×D5911yescharacteristic, complemented
951#401—591no—
952#401—591no—
953#400—591no—
954#400—591no—
955#400—591no—
956#400—591no—
957#400—591no—
958#400—591no—
959#400—591no—
960#399—591no—
961#397—591no—
962#397—591no—
963#397—591no—
964#397—591no—
965#397—591no—
966#397—591no—
967#397—591no—
968#397—591no—
969#397—591no—
970#397—591no—
971#396—591no—
972#396—591no—
973#396—591no—
974#396—591no—
975#394—591no—
976#394—591no—
977#394—591no—
978#394—591no—
979#394—591no—
980#394—591no—
981#394—591no—
982#394—591no—
983#394—591no—
984#394—591no—
985#394—591no—
986#393—591no—
987#393—591no—
988#393—591no—
989#393—591no—
990#392—591no—
991#392—591no—
992#392—591no—
993#392—591no—
994#392—591no—
995#392—591no—
996#392—591no—
997#392—591no—
998#392—591no—
999#390—591no—
1000#390—591no—
1001#390—591no—
1002#390—591no—
1003#388—591no—
1004#388—591no—
1005#388—591no—
1006#388—591no—
1007#388—591no—
1008#388—591no—
1009#388—591no—
1010#388—591no—
1011#388—591no—
1012#388—591no—
1013#387—591no—
1014#387—591no—
1015#386—591no—
1016#386—591no—
1017#386—591no—
1018#386—591no—
1019#386—591no—
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#386—591no—
1035#386—591no—
1036#386—591no—
1037#386—591no—
1038#386—591no—
1039#386—591no—
1040#386—591no—
1041#386—591no—
1042#386—591no—
1043#386—591no—
1044#386C2×D5911yescharacteristic
1045#386C2×D5911yescharacteristic
1046#386C2×D5911yescharacteristic
1047#386C2×D5911yescharacteristic
1048#386C2×D5911yescharacteristic, complemented
1049#386C2×D5911yescharacteristic, complemented
1050#386C2×D5911yescharacteristic, complemented
1051#386C2×D5911yescharacteristic, complemented
1052#385—591no—
1053#385—591no—
1054#385—591no—
1055#385—591no—
1056#385—591no—
1057#385—591no—
1058#385—591no—
1059#385—591no—
1060#385—591no—
1061#383—591no—
1062#381—591no—
1063#381—591no—
1064#381—591no—
1065#381—591no—
1066#381—591no—
1067#380—591no—
1068#380—591no—
1069#380—591no—
1070#380—591no—
1071#379—591no—
1072#379—591no—
1073#379—591no—
1074#379—591no—
1075#379—591no—
1076C4×C22⋊C4—591no—
1077C2×#95C2×D5911yescharacteristic, complemented
1078C2×#95C2×D5911yescharacteristic, complemented
1079C59#3677611yescharacteristic, complemented, Sylow
1080C25—591no—
1081C25C22×D5911yescharacteristic
1082C25C22×D5911yescharacteristic
1083C22×Q8—591no—
1084C22×D4—24no—
1085C22×D4—42no—
1086C22×D4—42no—
1087C22×D4—591no—
1088C22×D4—591no—
1089C22×D4—591no—
1090C22×D4—591no—
1091C22×D4—591no—
1092C22×D4—591no—
1093C22×D4—591no—
1094C22×D4—591no—
1095C22×D4—591no—
1096C22×D4—591no—
1097C22×D4—591no—
1098C22×D4—591no—
1099C22×D4—591no—
1100C22×D4—591no—
1101C22×D4—591no—
1102C22×D4—1184no—
1103C22×D4—2362no—
1104C22×D4—2362no—
1105C22×D4C22×D5911yescharacteristic
1106C22×D4C22×D5911yescharacteristic
1107C22×D4C22×D5911yescharacteristic
1108C22×D4C22×D5911yescharacteristic
1109C23×C4—42no—
1110C23×C4—42no—
1111C23×C4—42no—
1112C23×C4—591no—
1113C23×C4—591no—
1114C23×C4—591no—
1115C23×C4—591no—
1116C23×C4C22×D5911yescharacteristic
1117C23×C4C22×D5911yescharacteristic
1118C23×C4C22×D5911yescharacteristic
1119C23×C4C22×D5911yescharacteristic
1120C23×C4C22×D5911yescharacteristic
1121C23×C4C22×D5911yescharacteristic
1122C23×C4C22×D5911yescharacteristic
1123C23×C4C22×D5911yescharacteristic
1124C23×C4C22×D5911yescharacteristic
1125#124—2362no—
1126#123—2362no—
1127#123—2362no—
1128C22⋊Q8—2362no—
1129C22⋊Q8—2362no—
1130#121—2362no—
1131#121—2362no—
1132#121—2362no—
1133#121—2362no—
1134#121—2362no—
1135#121—2362no—
1136#121—2362no—
1137#120—1184no—
1138#120—2362no—
1139#120—2362no—
1140#120—2362no—
1141#120—2362no—
1142#120—2362no—
1143#120—2362no—
1144C4×D4—2362no—
1145C2×C4⋊C4—591no—
1146C2×C4⋊C4—591no—
1147C2×C4⋊C4—591no—
1148C2×C4⋊C4—591no—
1149C2×C4⋊C4—591no—
1150C2×C4⋊C4—591no—
1151C2×C4⋊C4—591no—
1152C2×C4⋊C4—591no—
1153C2×C4⋊C4—591no—
1154C2×C4⋊C4—591no—
1155C2×C4⋊C4—591no—
1156C2×C4⋊C4—591no—
1157C2×C4⋊C4—591no—
1158C2×C4⋊C4—591no—
1159C2×C4⋊C4—591no—
1160C2×C4⋊C4—591no—
1161C2×C22⋊C4—42no—
1162C2×C22⋊C4—42no—
1163C2×C22⋊C4—42no—
1164C2×C22⋊C4—591no—
1165C2×C22⋊C4—591no—
1166C2×C22⋊C4—591no—
1167C2×C22⋊C4—591no—
1168C2×C22⋊C4—591no—
1169C2×C22⋊C4—591no—
1170C2×C22⋊C4—591no—
1171C2×C22⋊C4—591no—
1172C2×C22⋊C4—591no—
1173C2×C22⋊C4—591no—
1174C2×C22⋊C4—591no—
1175C2×C22⋊C4—591no—
1176C2×C22⋊C4—591no—
1177C2×C22⋊C4—591no—
1178C2×C22⋊C4—591no—
1179C2×C22⋊C4—591no—
1180C2×C22⋊C4—591no—
1181C2×C22⋊C4—591no—
1182C2×C22⋊C4—591no—
1183C2×C22⋊C4—591no—
1184C2×C22⋊C4—591no—
1185C2×C22⋊C4—591no—
1186C2×C22⋊C4—591no—
1187C2×C22⋊C4—591no—
1188C2×C22⋊C4—591no—
1189C2×C22⋊C4—591no—
1190C2×C22⋊C4—591no—
1191C2×C22⋊C4—591no—
1192C2×C22⋊C4—591no—
1193C2×C22⋊C4—591no—
1194C2×C22⋊C4—591no—
1195C2×C22⋊C4—591no—
1196C2×C22⋊C4—591no—
1197C2×C22⋊C4—591no—
1198C2×C22⋊C4—591no—
1199C2×C22⋊C4—591no—
1200C2×C22⋊C4—591no—
1201C2×C22⋊C4—591no—
1202C2×C22⋊C4—591no—
1203C2×C22⋊C4—591no—
1204C2×C22⋊C4—591no—
1205C2×C22⋊C4—591no—
1206C2×C22⋊C4—591no—
1207C2×C22⋊C4—591no—
1208C2×C22⋊C4—591no—
1209C2×C22⋊C4—591no—
1210C2×C22⋊C4—591no—
1211C2×C22⋊C4—591no—
1212C2×C22⋊C4—2362no—
1213C2×C22⋊C4C22×D5911yescharacteristic
1214C2×C22⋊C4C22×D5911yescharacteristic
1215C2×C22⋊C4C22×D5911yescharacteristic
1216C2×C22⋊C4C22×D5911yescharacteristic
1217C2×C22⋊C4C22×D5911yescharacteristic
1218C2×C22⋊C4C22×D5911yescharacteristic
1219C2×C22⋊C4C22×D5911yescharacteristic
1220C2×C22⋊C4C22×D5911yescharacteristic
1221C2×C22⋊C4C22×D5911yescharacteristic
1222C2×C22⋊C4C22×D5911yescharacteristic
1223C2×C22⋊C4C22×D5911yescharacteristic
1224C2×C22⋊C4C22×D5911yescharacteristic
1225C2×C42—591no—
1226C2×C42—591no—
1227C2×C42—591no—
1228#95—591no—
1229#95—591no—
1230#95—591no—
1231#95—591no—
1232#95—591no—
1233#95—591no—
1234#95—591no—
1235#95—591no—
1236#95—591no—
1237#95—591no—
1238#95—591no—
1239#95—591no—
1240#95—591no—
1241#95—591no—
1242#95—591no—
1243#95—591no—
1244#95—591no—
1245#95—591no—
1246#95—591no—
1247#95—591no—
1248#95—591no—
1249#95—591no—
1250#95—591no—
1251#95—591no—
1252#95—591no—
1253#95—591no—
1254#95—591no—
1255#95—591no—
1256#95—591no—
1257#95—591no—
1258#95—591no—
1259#95—591no—
1260#95C22×D5911yescharacteristic
1261#95C22×D5911yescharacteristic
1262#95C22×D5911yescharacteristic
1263#95C22×D5911yescharacteristic
1264#95C22×D5911yescharacteristic
1265#95C22×D5911yescharacteristic
1266#95C22×D5911yescharacteristic
1267#95C22×D5911yescharacteristic
1268C24—22no—
1269C24—22no—
1270C24—22no—
1271C24—22no—
1272C24—22no—
1273C24—22no—
1274C24—22no—
1275C24—41no—
1276C24—41no—
1277C24—41no—
1278C24—41no—
1279C24—41no—
1280C24—41no—
1281C24—591no—
1282C24—591no—
1283C24—591no—
1284C24—1182no—
1285C24—2361no—
1286C24—2361no—
1287C24—2361no—
1288C24—2361no—
1289C24—2361no—
1290C24—2361no—
1291C24#1174568514yes—
1292C24C23×D5911yescharacteristic
1293C24C23×D5911yescharacteristic
1294C24C23×D5911yescharacteristic
1295C24C23×D5911yescharacteristic
1296C24C23×D5911yescharacteristic
1297C2×Q8—2361no—
1298C2×Q8—2361no—
1299C2×Q8—2361no—
1300C2×D4—22no—
1301C2×D4—22no—
1302C2×D4—22no—
1303C2×D4—22no—
1304C2×D4—22no—
1305C2×D4—22no—
1306C2×D4—22no—
1307C2×D4—22no—
1308C2×D4—41no—
1309C2×D4—41no—
1310C2×D4—41no—
1311C2×D4—41no—
1312C2×D4—416no—
1313C2×D4—1182no—
1314C2×D4—1182no—
1315C2×D4—1182no—
1316C2×D4—1182no—
1317C2×D4—1182no—
1318C2×D4—1182no—
1319C2×D4—1182no—
1320C2×D4—1182no—
1321C2×D4—1182no—
1322C2×D4—1182no—
1323C2×D4—1182no—
1324C2×D4—1182no—
1325C2×D4—1182no—
1326C2×D4—1182no—
1327C2×D4—1182no—
1328C2×D4—1182no—
1329C2×D4—1182no—
1330C2×D4—1182no—
1331C2×D4—1182no—
1332C2×D4—1182no—
1333C2×D4—2361no—
1334C2×D4—2361no—
1335C2×D4—2361no—
1336C2×D4—2361no—
1337C2×D4—2361no—
1338C2×D4—2361no—
1339C2×D4—2361no—
1340C2×D4—2361no—
1341C2×D4—2361no—
1342C2×D4—2361no—
1343C2×D4—2361no—
1344C2×D4—2361no—
1345C2×D4—2361no—
1346C2×D4—2361no—
1347C2×D4—2361no—
1348C2×D4—2361no—
1349C2×D4—2361no—
1350C2×D4—2361no—
1351C2×D4—2361no—
1352C2×D4—2361no—
1353C2×D4—2361no—
1354C2×D4—2361no—
1355C2×D4—2361no—
1356C2×D4—2361no—
1357C2×D4—2361no—
1358C2×D4—23616no—
1359C22×C4—22no—
1360C22×C4—22no—
1361C22×C4—22no—
1362C22×C4—22no—
1363C22×C4—22no—
1364C22×C4—22no—
1365C22×C4—22no—
1366C22×C4—22no—
1367C22×C4—22no—
1368C22×C4—22no—
1369C22×C4—41no—
1370C22×C4—41no—
1371C22×C4—41no—
1372C22×C4—41no—
1373C22×C4—41no—
1374C22×C4—41no—
1375C22×C4—41no—
1376C22×C4—41no—
1377C22×C4—41no—
1378C22×C4—41no—
1379C22×C4—41no—
1380C22×C4—41no—
1381C22×C4—41no—
1382C22×C4—41no—
1383C22×C4—41no—
1384C22×C4—41no—
1385C22×C4—41no—
1386C22×C4—416no—
1387C22×C4—591no—
1388C22×C4—591no—
1389C22×C4—591no—
1390C22×C4—591no—
1391C22×C4—591no—
1392C22×C4—591no—
1393C22×C4—591no—
1394C22×C4—591no—
1395C22×C4—591no—
1396C22×C4—591no—
1397C22×C4—591no—
1398C22×C4—591no—
1399C22×C4—591no—
1400C22×C4—1182no—
1401C22×C4—2361no—
1402C22×C4—2361no—
1403C22×C4—2361no—
1404C22×C4—2361no—
1405C22×C4—2361no—
1406C22×C4—2361no—
1407C22×C4—2361no—
1408C22×C4—2361no—
1409C22×C4—2361no—
1410C22×C4—2361no—
1411C22×C4—2361no—
1412C22×C4C23×D5911yescharacteristic
1413C22×C4C23×D5911yescharacteristic
1414C22×C4C23×D5911yescharacteristic
1415C22×C4C23×D5911yescharacteristic
1416C22×C4C23×D5911yescharacteristic
1417C22×C4C23×D5911yescharacteristic
1418C22×C4C23×D5911yescharacteristic
1419C22×C4C23×D5911yescharacteristic
1420C22×C4C23×D5911yescharacteristic
1421C22×C4C23×D5911yescharacteristic
1422C4⋊C4—1182no—
1423C4⋊C4—1182no—
1424C4⋊C4—2361no—
1425C4⋊C4—2361no—
1426C4⋊C4—2361no—
1427C4⋊C4—2361no—
1428C4⋊C4—2361no—
1429C4⋊C4—2361no—
1430C4⋊C4—2361no—
1431C4⋊C4—2361no—
1432C4⋊C4—2361no—
1433C4⋊C4—2361no—
1434C4⋊C4—2361no—
1435C4⋊C4—2361no—
1436C4⋊C4—2361no—
1437C4⋊C4—2361no—
1438C22⋊C4—22no—
1439C22⋊C4—22no—
1440C22⋊C4—22no—
1441C22⋊C4—22no—
1442C22⋊C4—41no—
1443C22⋊C4—41no—
1444C22⋊C4—41no—
1445C22⋊C4—41no—
1446C22⋊C4—41no—
1447C22⋊C4—41no—
1448C22⋊C4—41no—
1449C22⋊C4—41no—
1450C22⋊C4—1182no—
1451C22⋊C4—1182no—
1452C22⋊C4—1182no—
1453C22⋊C4—1182no—
1454C22⋊C4—1182no—
1455C22⋊C4—1182no—
1456C22⋊C4—1182no—
1457C22⋊C4—1182no—
1458C22⋊C4—1182no—
1459C22⋊C4—1182no—
1460C22⋊C4—2361no—
1461C22⋊C4—2361no—
1462C22⋊C4—2361no—
1463C22⋊C4—2361no—
1464C22⋊C4—2361no—
1465C22⋊C4—2361no—
1466C22⋊C4—2361no—
1467C22⋊C4—2361no—
1468C22⋊C4—2361no—
1469C22⋊C4—2361no—
1470C22⋊C4—2361no—
1471C22⋊C4—2361no—
1472C22⋊C4—2361no—
1473C22⋊C4—2361no—
1474C22⋊C4—2361no—
1475C22⋊C4—2361no—
1476C22⋊C4—2361no—
1477C22⋊C4—2361no—
1478C22⋊C4—2361no—
1479C22⋊C4—2361no—
1480C22⋊C4—2361no—
1481C22⋊C4—2361no—
1482C22⋊C4—2361no—
1483C22⋊C4—2361no—
1484C22⋊C4—2361no—
1485C22⋊C4—2361no—
1486C22⋊C4—2361no—
1487C22⋊C4—2361no—
1488C22⋊C4—2361no—
1489C22⋊C4—2361no—
1490C22⋊C4—2361no—
1491C22⋊C4—2361no—
1492C22⋊C4—2361no—
1493C22⋊C4—2361no—
1494C22⋊C4—2361no—
1495C22⋊C4—2361no—
1496C22⋊C4—2361no—
1497C22⋊C4—2361no—
1498C42—2361no—
1499C42—2361no—
1500C42—2361no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—28no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—21no—
1529C23—21no—
1530C23—28no—
1531C23—44no—
1532C23—44no—
1533C23—44no—
1534C23—44no—
1535C23—44no—
1536C23—44no—
1537C23—44no—
1538C23—44no—
1539C23—82no—
1540C23—82no—
1541C23—82no—
1542C23—82no—
1543C23—1181no—
1544C23—1181no—
1545C23—1181no—
1546C23—1181no—
1547C23—1181no—
1548C23—1181no—
1549C23—1181no—
1550C23—1181no—
1551C23—1181no—
1552C23—1181no—
1553C23—1181no—
1554C23—1181no—
1555C23—1181no—
1556C23—1181no—
1557C23—1181no—
1558C23—1181no—
1559C23—1181no—
1560C23—1181no—
1561C23—1181no—
1562C23—1181no—
1563C23—1181no—
1564C23—4722no—
1565C23—4722no—
1566C23—4722no—
1567C23—4722no—
1568C23—4722no—
1569C23—4722no—
1570C23—2364no—
1571C23C2×#1174568512yes—
1572C23C2×#1174568512yes—
1573C23C2×#1174568512yes—
1574C23#1427377212yes—
1575C23#1427377212yes—
1576C23#1427377212yes—
1577C23#1427377312yes—
1578C23C24×D5911yescharacteristic
1579Q8—4722no—
1580D4—44no—
1581D4—44no—
1582D4—44no—
1583D4—44no—
1584D4—4722no—
1585D4—4722no—
1586D4—4722no—
1587D4—4722no—
1588D4—4722no—
1589D4—4722no—
1590D4—4722no—
1591D4—4722no—
1592D4—4722no—
1593D4—4722no—
1594D4—2364no—
1595D4—2364no—
1596D4—2364no—
1597D4—2364no—
1598D4—2364no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—44no—
1629C2×C4—44no—
1630C2×C4—44no—
1631C2×C4—44no—
1632C2×C4—44no—
1633C2×C4—44no—
1634C2×C4—44no—
1635C2×C4—82no—
1636C2×C4—82no—
1637C2×C4—1181no—
1638C2×C4—1181no—
1639C2×C4—1181no—
1640C2×C4—1181no—
1641C2×C4—1181no—
1642C2×C4—1181no—
1643C2×C4—1181no—
1644C2×C4—1181no—
1645C2×C4—1181no—
1646C2×C4—1181no—
1647C2×C4—1181no—
1648C2×C4—1181no—
1649C2×C4—1181no—
1650C2×C4—1181no—
1651C2×C4—1181no—
1652C2×C4—1181no—
1653C2×C4—1181no—
1654C2×C4—1181no—
1655C2×C4—1181no—
1656C2×C4—1181no—
1657C2×C4—1181no—
1658C2×C4—1181no—
1659C2×C4—1181no—
1660C2×C4—1181no—
1661C2×C4—1181no—
1662C2×C4—1181no—
1663C2×C4—1181no—
1664C2×C4—1181no—
1665C2×C4—1181no—
1666C2×C4—1181no—
1667C2×C4—1181no—
1668C2×C4—1181no—
1669C2×C4—1181no—
1670C2×C4—1181no—
1671C2×C4—1181no—
1672C2×C4—1181no—
1673C2×C4—1181no—
1674C2×C4—1181no—
1675C2×C4—1181no—
1676C2×C4—4722no—
1677C2×C4—4722no—
1678C2×C4—4722no—
1679C2×C4—2364no—
1680C2×C4#1427377212yes—
1681C22—22no—
1682C22—22no—
1683C22—22no—
1684C22—22no—
1685C22—22no—
1686C22—22no—
1687C22—22no—
1688C22—22no—
1689C22—22no—
1690C22—22no—
1691C22—22no—
1692C22—22no—
1693C22—22no—
1694C22—22no—
1695C22—22no—
1696C22—22no—
1697C22—22no—
1698C22—22no—
1699C22—416no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—88no—
1717C22—4728no—
1718C22—2361no—
1719C22—2361no—
1720C22—2361no—
1721C22—2361no—
1722C22—2361no—
1723C22—2361no—
1724C22—2361no—
1725C22—2361no—
1726C22—2361no—
1727C22—2361no—
1728C22—2361no—
1729C22—2361no—
1730C22—2361no—
1731C22—2361no—
1732C22—2361no—
1733C22—2361no—
1734C22—2361no—
1735C22—2361no—
1736C22—2361no—
1737C22—2361no—
1738C22—2361no—
1739C22#1683798514yes—
1740C22C22×#1174568511yescharacteristic
1741C22C2×#1427377211yescharacteristic
1742C22C2×#1427377211yescharacteristic
1743C22C2×#1427377211yescharacteristic
1744C22C2×#1427377211yescharacteristic
1745C22C2×#1427377311yescharacteristic
1746C22#1683823811yescharacteristic
1747C4—22no—
1748C4—41no—
1749C4—41no—
1750C4—41no—
1751C4—41no—
1752C4—41no—
1753C4—41no—
1754C4—41no—
1755C4—41no—
1756C4—41no—
1757C4—2361no—
1758C4—2361no—
1759C4—2361no—
1760C4—2361no—
1761C4—2361no—
1762C4—2361no—
1763C4—2361no—
1764C4—2361no—
1765C4—2361no—
1766C4—2361no—
1767C4—2361no—
1768C4—2361no—
1769C4—2361no—
1770C2—24no—
1771C2—42no—
1772C2—42no—
1773C2—42no—
1774C2—42no—
1775C2—4721no—
1776C2—4721no—
1777C2—4721no—
1778C2C2×#1683798511yescharacteristic
1779C2#2143778511yescharacteristic
1780C2#2143793511yescharacteristic
1781C2#2143825111yescharacteristic
1782C2#2143828611yescharacteristic
1783C2#2143829011yescharacteristic
1784C2#2143833111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC2×C59×#386C2
hypercenterC2×#386D59
hypocenterC59#36776
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ C2×#386

Complements

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

NH ≅ G/Ntype
1. #21432388C2semidirect
2. #21432378C2semidirect
3. #21431715C2semidirect
4. #21431714C2semidirect
5. #21431472C2semidirect
6. #21431328C2semidirect
7. #21431319C2semidirect
8. #21431313C2semidirect
9. #21431239C2semidirect
10. #21430740C2semidirect
11. #21430660C2semidirect
12. #21430650C2semidirect
13. #21430536C2semidirect
14. #21430529C2semidirect
15. #21430473C2semidirect
16. #21430422C2semidirect
17. #21430398C2semidirect
18. #21430301C2semidirect
19. #21430049C2semidirect
20. #21430024C2semidirect
21. #21428656C2semidirect
22. #21428216C2semidirect
23. #21427846C2semidirect
24. #21427757C2semidirect
25. #21427632C2semidirect
26. #21427470C2semidirect
27. #21427464C2semidirect
28. #21427406C2semidirect
29. #21426754C2semidirect
30. #21426671C2semidirect
31. C2×C59×#386C2semidirect
33. C2×#14273713C22semidirect
34. C2×#14273710C22semidirect
35. C2×#14273710C22semidirect
36. C2×#14273706C22semidirect
37. C2×#14273704C22semidirect
40. C2×#14273701C22semidirect
41. C2×#14273701C22semidirect
42. C2×#14273700C22semidirect
43. C2×#14273699C22semidirect
44. C2×#14273699C22semidirect
45. C2×#14273697C22semidirect
49. C2×#14273696C22semidirect
52. C2×C4×C22⋊D59C22semidirect
54. C59⋊#401C22semidirect
55. C59⋊#401C22semidirect
56. #16837344C22semidirect
57. #16837344C22semidirect
58. #16837343C22semidirect
59. #16837343C22semidirect
60. #16837343C22semidirect
61. #16837342C22semidirect
62. #16837342C22semidirect
63. #16837338C22semidirect
64. #16837331C22semidirect
65. #16837331C22semidirect
66. #16837331C22semidirect
67. #16837331C22semidirect
68. #16837331C22semidirect
69. #16837331C22semidirect
70. #16837330C22semidirect
71. #16837329C22semidirect
72. #16837329C22semidirect
73. #16837329C22semidirect
74. #16837326C22semidirect
75. #16837325C22semidirect
76. #16837325C22semidirect
77. #16837325C22semidirect
78. #16837320C22semidirect
79. #16837320C22semidirect
80. #16837320C22semidirect
81. #16837318C22semidirect
82. #16837318C22semidirect
83. #16837318C22semidirect
84. #16837317C22semidirect
85. #16837317C22semidirect
86. #16837317C22semidirect
89. #16837315C22semidirect
90. #16837315C22semidirect
91. #16837314C22semidirect
92. #16837314C22semidirect
93. #16837311C22semidirect
94. #16837311C22semidirect
95. #16837311C22semidirect
102. #16837302C22semidirect
103. #16837302C22semidirect
104. #16837302C22semidirect
105. #16837302C22semidirect
106. #16837296C22semidirect
107. #16837296C22semidirect
108. #16837295C22semidirect
109. #16837295C22semidirect
110. #16837294C22semidirect
111. #16837291C22semidirect
112. #16837291C22semidirect
113. #16837290C22semidirect
114. #16837290C22semidirect
115. #16837290C22semidirect
116. #16837289C22semidirect
117. #16837285C22semidirect
120. #16837282C22semidirect
121. #16837282C22semidirect
130. #16837281C22semidirect
131. #16837281C22semidirect
132. #16837281C22semidirect
133. #16837281C22semidirect
134. #16837281C22semidirect
135. #16837281C22semidirect
136. #16837281C22semidirect
137. #16837281C22semidirect
138. #16837280C22semidirect
139. #16837279C22semidirect
140. #16837279C22semidirect
141. #16837279C22semidirect
142. #16837279C22semidirect
143. #16837279C22semidirect
144. #16837278C22semidirect
145. #16837278C22semidirect
146. #16837278C22semidirect
147. #16837277C22semidirect
148. #16837277C22semidirect
149. #16837275C22semidirect
150. #16837275C22semidirect
151. #16837275C22semidirect
152. #16837275C22semidirect
153. #16837275C22semidirect
154. #16837275C22semidirect
155. #16837274C22semidirect
156. #16837269C22semidirect
157. #16837265C22semidirect
158. #16837265C22semidirect
159. #16837264C22semidirect
160. #16837263C22semidirect
161. #16837263C22semidirect
162. #16837262C22semidirect
163. #16837262C22semidirect
164. #16837262C22semidirect
165. #16837260C22semidirect
167. #16837258C22semidirect
168. #16837257C22semidirect
169. #16837257C22semidirect
170. #16837257C22semidirect
171. C4×C22⋊Dic59C22semidirect
173. C24×C4×C59C22semidirect
176. C22×C22⋊C4×C59C22semidirect
181. C59×#386C22semidirect
182. C59×#386C22semidirect
183. C59×#386C22semidirect
184. C59×#386C22semidirect
185. C2×#95×C59C22semidirect
186. C2×#95×C59C22semidirect
908. C2×#386D59semidirect
926. C24×C4C2×D59semidirect
950. C22×C22⋊C4C2×D59semidirect
1048. #386C2×D59semidirect
1049. #386C2×D59semidirect
1050. #386C2×D59semidirect
1051. #386C2×D59semidirect
1077. C2×#95C2×D59semidirect
1078. C2×#95C2×D59semidirect
1079. C59#36776semidirect

Maximal subgroups

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

subgroupindex
#214323882
#214323782
#214317152
#214317142
#214314722
#214313282
#214313192
#214313132
#214312392
#214307402
#214306602
#214306502
#214305362
#214305292
#214304732
#214304222
#214303982
#214303012
#214300492
#214300242
#214286562
#214282162
#214278462
#214277572
#214276322
#214274702
#214274642
#214274062
#214267542
#214266712
C2×C59×#3862
#3677659