Finite Group Databasebeta

← #28795659

Subgroups — #28795659

Order 15104.

2842 conjugacy classes of subgroups.

The subgroup lattice has 1812 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16838027C211yesmaximal, characteristic, complemented
2C2×#121×D59C211yesmaximal, characteristic
3#21432382C211yesmaximal, characteristic, complemented
4#21432380C211yesmaximal, characteristic, complemented
5#21430455C211yesmaximal, characteristic, complemented
6#21430452C211yesmaximal, characteristic, complemented
7#21430451C211yesmaximal, characteristic, complemented
8#21430448C211yesmaximal, characteristic, complemented
9#21430445C211yesmaximal, characteristic, complemented
10#21430444C211yesmaximal, characteristic, complemented
11#21430441C211yesmaximal, characteristic, complemented
12#21430354C211yesmaximal, characteristic, complemented
13#21430353C211yesmaximal, characteristic, complemented
14#21430350C211yesmaximal, characteristic, complemented
15#21430349C211yesmaximal, characteristic, complemented
16#21430345C211yesmaximal, characteristic, complemented
17#21430344C211yesmaximal, characteristic, complemented
18#21430341C211yesmaximal, characteristic, complemented
19#21430340C211yesmaximal, characteristic, complemented
20#21429906C211yesmaximal, characteristic, complemented
21#21429900C211yesmaximal, characteristic, complemented
22#21429474C211yesmaximal, characteristic, complemented
23#21429470C211yesmaximal, characteristic, complemented
24#21427746C211yesmaximal, characteristic, complemented
25#21427742C211yesmaximal, characteristic, complemented
26#21427422C211yesmaximal, characteristic, complemented
27#21427420C211yesmaximal, characteristic, complemented
28#21427418C211yesmaximal, characteristic, complemented
29#21427418C211yesmaximal, characteristic, complemented
30#21426690C211yesmaximal, characteristic, complemented
31C59×#2681C211yesmaximal, characteristic, complemented
32C22×D4×D59C2211yescharacteristic
33C22×D4×D59C2211yescharacteristic
34C22×D4×D59C2211yescharacteristic
35C23×C4×D59C2211yescharacteristic
36#16838027—28no—
37C2×#14273715C2211yescharacteristic, complemented
38C2×#14273714C2211yescharacteristic, complemented
39C2×#14273713C2211yescharacteristic, complemented
40C2×#14273713C2211yescharacteristic, complemented
41C2×#14273712C2211yescharacteristic, complemented
42C2×#14273712C2211yescharacteristic, complemented
43C2×#14273711C2211yescharacteristic, complemented
44C2×#14273710C2211yescharacteristic, complemented
45C2×#14273709C2211yescharacteristic, complemented
46C2×#14273709C2211yescharacteristic, complemented
47C2×#14273708C2211yescharacteristic, complemented
48C2×#14273707C2211yescharacteristic
49C2×#14273707C2211yescharacteristic, complemented
50C2×#14273706C2211yescharacteristic, complemented
51C2×#14273705C2211yescharacteristic
52C2×#14273705C2211yescharacteristic
53C2×#14273705C2211yescharacteristic, complemented
54C2×#14273705C2211yescharacteristic, complemented
55C2×#14273705C2211yescharacteristic, complemented
56C2×#14273704C2211yescharacteristic, complemented
57C2×#14273704C2211yescharacteristic, complemented
58C2×#14273704C2211yescharacteristic, complemented
59C2×#14273703C2211yescharacteristic
60C2×#14273703C2211yescharacteristic, complemented
61C2×#14273703C2211yescharacteristic, complemented
62C2×#14273702C2211yescharacteristic
63C2×#14273701C2211yescharacteristic
64C2×#14273700C2211yescharacteristic
65C2×#14273700C2211yescharacteristic
66C2×#14273699C2211yescharacteristic
67C2×#14273699C2211yescharacteristic
68C2×#14273698C2211yescharacteristic
69#121×D59—28no—
70C2×C4⋊C4×D59C2211yescharacteristic
71C22×(C2×D59)⋊C4C2211yescharacteristic
72C2×C22⋊C4×D59C2211yescharacteristic
73C2×C22⋊C4×D59C2211yescharacteristic
74C2×C22⋊C4×D59C2211yescharacteristic
75#16837339C2211yescharacteristic, complemented
76#16837338C2211yescharacteristic, complemented
77#16837338C2211yescharacteristic, complemented
78#16837337C2211yescharacteristic, complemented
79#16837336C2211yescharacteristic, complemented
80#16837335C2211yescharacteristic, complemented
81#16837333C2211yescharacteristic, complemented
82#16837326C2211yescharacteristic, complemented
83#16837326C2211yescharacteristic, complemented
84#16837325C2211yescharacteristic, complemented
85#16837325C2211yescharacteristic, complemented
86#16837325C2211yescharacteristic, complemented
87#16837324C2211yescharacteristic, complemented
88#16837324C2211yescharacteristic, complemented
89#16837323C2211yescharacteristic, complemented
90#16837323C2211yescharacteristic, complemented
91#16837322C2211yescharacteristic, complemented
92#16837322C2211yescharacteristic, complemented
93#16837320C2211yescharacteristic, complemented
94#16837320C2211yescharacteristic, complemented
95#16837320C2211yescharacteristic, complemented
96#16837319C2211yescharacteristic, complemented
97#16837319C2211yescharacteristic, complemented
98#16837319C2211yescharacteristic, complemented
99#16837318C2211yescharacteristic, complemented
100#16837318C2211yescharacteristic, complemented
101#16837318C2211yescharacteristic, complemented
102#16837318C2211yescharacteristic, complemented
103#16837318C2211yescharacteristic, complemented
104#16837318C2211yescharacteristic, complemented
105#16837318C2211yescharacteristic, complemented
106#16837318C2211yescharacteristic, complemented
107#16837317C2211yescharacteristic, complemented
108#16837317C2211yescharacteristic, complemented
109#16837317C2211yescharacteristic, complemented
110#16837317C2211yescharacteristic, complemented
111#16837316C2211yescharacteristic, complemented
112#16837316C2211yescharacteristic, complemented
113#16837316C2211yescharacteristic, complemented
114#16837315C2211yescharacteristic, complemented
115#16837314C2211yescharacteristic, complemented
116#16837313C2211yescharacteristic, complemented
117#16837303C2211yescharacteristic, complemented
118#16837302C2211yescharacteristic, complemented
119#16837302C2211yescharacteristic, complemented
120#16837301C2211yescharacteristic, complemented
121#16837301C2211yescharacteristic, complemented
122#16837300C2211yescharacteristic, complemented
123#16837299C2211yescharacteristic, complemented
124#16837299C2211yescharacteristic, complemented
125#16837297C2211yescharacteristic, complemented
126#16837297C2211yescharacteristic, complemented
127#16837296C2211yescharacteristic, complemented
128#16837295C2211yescharacteristic, complemented
129#16837294C2211yescharacteristic, complemented
130#16837293C2211yescharacteristic, complemented
131#16837292C2211yescharacteristic, complemented
132#16837291C2211yescharacteristic, complemented
133#16837290C2211yescharacteristic, complemented
134#16837282C2211yescharacteristic, complemented
135#16837281C2211yescharacteristic, complemented
136#16837280C2211yescharacteristic, complemented
137#16837280C2211yescharacteristic, complemented
138#16837279C2211yescharacteristic, complemented
139#16837278C2211yescharacteristic, complemented
140#16837278C2211yescharacteristic, complemented
141#16837276C2211yescharacteristic
142#16837276C2211yescharacteristic
143#16837276C2211yescharacteristic
144#16837276C2211yescharacteristic
145#16837276C2211yescharacteristic, complemented
146#16837275C2211yescharacteristic, complemented
147#16837274C2211yescharacteristic, complemented
148#16837274C2211yescharacteristic, complemented
149#16837273C2211yescharacteristic
150#16837273C2211yescharacteristic
151#16837273C2211yescharacteristic
152#16837273C2211yescharacteristic
153#16837273C2211yescharacteristic, complemented
154#16837273C2211yescharacteristic, complemented
155#16837273C2211yescharacteristic, complemented
156#16837262C2211yescharacteristic, complemented
157#16837261C2211yescharacteristic
158#16837261C2211yescharacteristic, complemented
159#16837260C2211yescharacteristic, complemented
160#16837259C2211yescharacteristic
161#16837259C2211yescharacteristic, complemented
162#16837257C2211yescharacteristic
163#16837257C2211yescharacteristic
164#16837257C2211yescharacteristic
165#16837257C2211yescharacteristic
166#16837257C2211yescharacteristic
167#16837257C2211yescharacteristic
168#16837257C2211yescharacteristic
169#16837257C2211yescharacteristic
170#16837257C2211yescharacteristic
171#16837257C2211yescharacteristic
172C4×(C2×D59)⋊C4C2211yescharacteristic
173#16837249C2211yescharacteristic
174C2×#123×C59C2211yescharacteristic, complemented
175C2×C22⋊Q8×C59C2211yescharacteristic, complemented
176C2×C22⋊Q8×C59C2211yescharacteristic, complemented
177C2×#121×C59C2211yescharacteristic
178C59×#398C2211yescharacteristic, complemented
179C59×#396C2211yescharacteristic, complemented
180C59×#394C2211yescharacteristic, complemented
181C59×#394C2211yescharacteristic, complemented
182C59×#394C2211yescharacteristic, complemented
183C59×#393C2211yescharacteristic, complemented
184C59×#390C2211yescharacteristic, complemented
185C59×#389C2211yescharacteristic, complemented
186C59×#388C2211yescharacteristic, complemented
187C59×#386C2211yescharacteristic, complemented
188C59×#385C2211yescharacteristic, complemented
189C24×D59C2311yescharacteristic
190C24×D59C2311yescharacteristic
191C24×D59C2311yescharacteristic
192C22×Dic118C2311yescharacteristic
193C22×Dic118C2311yescharacteristic
194C22×Dic118C2311yescharacteristic
195C22×D236C2311yescharacteristic
196C22×D236C2311yescharacteristic
197C22×D236C2311yescharacteristic
198C22×C22⋊D59C2311yescharacteristic
199C22×C22⋊D59C2311yescharacteristic
200C22×C22⋊D59C2311yescharacteristic
201C22×C22⋊D59C2311yescharacteristic
202C22×C22⋊D59C2311yescharacteristic
203C22×C22⋊D59C2311yescharacteristic
204C2×D4×D59—24no—
205C2×D4×D59—24no—
206C2×D4×D59—24no—
207C2×D4×D59—42no—
208C2×D4×D59—42no—
209C2×D4×D59—42no—
210C2×D4×D59—42no—
211C2×D4×D59—42no—
212C2×D4×D59—42no—
213C23×Dic59C2311yescharacteristic
214C23×Dic59C2311yescharacteristic
215C22×C4×D59—24no—
216C22×C4×D59—42no—
217C22×C4×D59—42no—
218C22×C4×D59C2311yescharacteristic
219C22×C4×D59C2311yescharacteristic
220C22×C4×D59C2311yescharacteristic
221C22×C4×D59C2311yescharacteristic
222C22×C4×D59C2311yescharacteristic
223C22×C4×D59C2311yescharacteristic
224C22×C4×D59C2311yescharacteristic
225C22×C4×D59C2311yescharacteristic
226#14273715—42no—
227#14273714—42no—
228#14273713—42no—
229#14273713—42no—
230#14273712—42no—
231#14273712—42no—
232#14273711—42no—
233#14273710—42no—
234#14273709—42no—
235#14273709—42no—
236#14273708—42no—
237#14273707—24no—
238#14273707—24no—
239#14273706—24no—
240#14273705—24no—
241#14273705—24no—
242#14273705—24no—
243#14273705—24no—
244#14273705—42no—
245#14273704—24no—
246#14273704—24no—
247#14273704—42no—
248#14273703—24no—
249#14273703—24no—
250#14273703—42no—
251#14273702—24no—
252#14273701—24no—
253#14273700—24no—
254#14273700—24no—
255#14273699—24no—
256#14273699—24no—
257#14273698—24no—
258C2×C4⋊Dic59C2311yescharacteristic
259C2×C4⋊Dic59C2311yescharacteristic
260C2×C4⋊Dic59C2311yescharacteristic
261C2×C4⋊Dic59C2311yescharacteristic
262C2×C4⋊Dic59C2311yescharacteristic
263C2×C4⋊Dic59C2311yescharacteristic
264C2×C4⋊Dic59C2311yescharacteristic
265C2×C4⋊Dic59C2311yescharacteristic
266C2×C4⋊Dic59C2311yescharacteristic
267C2×Dic59⋊C4C2311yescharacteristic
268C2×Dic59⋊C4C2311yescharacteristic
269C2×Dic59⋊C4C2311yescharacteristic
270C2×Dic59⋊C4C2311yescharacteristic
271C2×Dic59⋊C4C2311yescharacteristic
272C2×Dic59⋊C4C2311yescharacteristic
273C2×Dic59⋊C4C2311yescharacteristic
274C2×Dic59⋊C4C2311yescharacteristic
275C2×Dic59⋊C4C2311yescharacteristic
276C2×Dic59⋊C4C2311yescharacteristic
277C2×Dic59⋊C4C2311yescharacteristic
278C2×Dic59⋊C4C2311yescharacteristic
279C2×Dic59⋊C4C2311yescharacteristic
280C2×Dic59⋊C4C2311yescharacteristic
281C2×Dic59⋊C4C2311yescharacteristic
282C2×Dic59⋊C4C2311yescharacteristic
283C2×Dic59⋊C4C2311yescharacteristic
284C2×Dic59⋊C4C2311yescharacteristic
285C4⋊C4×D59—24no—
286C2×C22⋊Dic59C2311yescharacteristic
287C2×C22⋊Dic59C2311yescharacteristic
288C2×C22⋊Dic59C2311yescharacteristic
289C2×C22⋊Dic59C2311yescharacteristic
290C2×C22⋊Dic59C2311yescharacteristic
291C2×C22⋊Dic59C2311yescharacteristic
292C2×C22⋊Dic59C2311yescharacteristic
293C2×C22⋊Dic59C2311yescharacteristic
294C2×C22⋊Dic59C2311yescharacteristic
295C2×C22⋊Dic59C2311yescharacteristic
296C2×C22⋊Dic59C2311yescharacteristic
297C2×C22⋊Dic59C2311yescharacteristic
298C2×C22⋊Dic59C2311yescharacteristic
299C2×(C2×D59)⋊C4—24no—
300C2×(C2×D59)⋊C4C2311yescharacteristic
301C2×(C2×D59)⋊C4C2311yescharacteristic
302C2×(C2×D59)⋊C4C2311yescharacteristic
303C2×(C2×D59)⋊C4C2311yescharacteristic
304C2×(C2×D59)⋊C4C2311yescharacteristic
305C2×(C2×D59)⋊C4C2311yescharacteristic
306C2×(C2×D59)⋊C4C2311yescharacteristic
307C2×(C2×D59)⋊C4C2311yescharacteristic
308C2×(C2×D59)⋊C4C2311yescharacteristic
309C2×(C2×D59)⋊C4C2311yescharacteristic
310C2×(C2×D59)⋊C4C2311yescharacteristic
311C2×(C2×D59)⋊C4C2311yescharacteristic
312C2×(C2×D59)⋊C4C2311yescharacteristic
313C2×(C2×D59)⋊C4C2311yescharacteristic
314C2×(C2×D59)⋊C4C2311yescharacteristic
315C2×(C2×D59)⋊C4C2311yescharacteristic
316C2×(C2×D59)⋊C4C2311yescharacteristic
317C2×(C2×D59)⋊C4C2311yescharacteristic
318C2×(C2×D59)⋊C4C2311yescharacteristic
319C2×(C2×D59)⋊C4C2311yescharacteristic
320C2×(C2×D59)⋊C4C2311yescharacteristic
321C2×(C2×D59)⋊C4C2311yescharacteristic
322C2×(C2×D59)⋊C4C2311yescharacteristic
323C2×(C2×D59)⋊C4C2311yescharacteristic
324C2×(C2×D59)⋊C4C2311yescharacteristic
325C2×(C2×D59)⋊C4C2311yescharacteristic
326C2×(C2×D59)⋊C4C2311yescharacteristic
327C2×(C2×D59)⋊C4C2311yescharacteristic
328C2×(C2×D59)⋊C4C2311yescharacteristic
329C2×(C2×D59)⋊C4C2311yescharacteristic
330C2×(C2×D59)⋊C4C2311yescharacteristic
331C2×(C2×D59)⋊C4C2311yescharacteristic
332C2×(C2×D59)⋊C4C2311yescharacteristic
333C2×(C2×D59)⋊C4C2311yescharacteristic
334C22⋊C4×D59—24no—
335C22⋊C4×D59—24no—
336C22⋊C4×D59D418yes—
337C2×C4×Dic59C2311yescharacteristic
338C2×C4×Dic59C2311yescharacteristic
339C2×C4×Dic59C2311yescharacteristic
340C59⋊#95C2311yescharacteristic
341C59⋊#95C2311yescharacteristic
342C59⋊#95C2311yescharacteristic
343C59⋊#95C2311yescharacteristic
344C59⋊#95C2311yescharacteristic
345C59⋊#95C2311yescharacteristic
346C59⋊#95C2311yescharacteristic
347C59⋊#95C2311yescharacteristic
348C59⋊#95C2311yescharacteristic
349C59⋊#95C2311yescharacteristic
350C59⋊#95C2311yescharacteristic
351C59⋊#95C2311yescharacteristic
352C59⋊#95C2311yescharacteristic
353C59⋊#95C2311yescharacteristic
354C59⋊#95C2311yescharacteristic
355C59⋊#95C2311yescharacteristic
356C59⋊#95C2311yescharacteristic
357C59⋊#95C2311yescharacteristic
358C22×Q8×C59C2311yescharacteristic
359C22×D4×C59C2311yescharacteristic
360C22×D4×C59C2311yescharacteristic
361C22×D4×C59C2311yescharacteristic
362C23×C4×C59C2311yescharacteristic
363C23×C4×C59C2311yescharacteristic
364#123×C59—42no—
365C22⋊Q8×C59—24no—
366C22⋊Q8×C59—42no—
367#121×C59—24no—
368C2×C4⋊C4×C59C2311yescharacteristic
369C2×C4⋊C4×C59C2311yescharacteristic
370C2×C4⋊C4×C59C2311yescharacteristic
371C2×C4⋊C4×C59C2311yescharacteristic
372C2×C4⋊C4×C59C2311yescharacteristic
373C2×C4⋊C4×C59C2311yescharacteristic
374C2×C4⋊C4×C59C2311yescharacteristic
375C2×C4⋊C4×C59C2311yescharacteristic
376C2×C4⋊C4×C59C2311yescharacteristic
377C2×C22⋊C4×C59C2311yescharacteristic
378C2×C22⋊C4×C59C2311yescharacteristic
379C2×C22⋊C4×C59C2311yescharacteristic
380C2×C22⋊C4×C59C2311yescharacteristic
381C2×C22⋊C4×C59C2311yescharacteristic
382C2×C22⋊C4×C59C2311yescharacteristic
383C2×C22⋊C4×C59C2311yescharacteristic
384C2×C22⋊C4×C59C2311yescharacteristic
385C2×C22⋊C4×C59C2311yescharacteristic
386C2×C22⋊C4×C59C2311yescharacteristic
387C2×C22⋊C4×C59C2311yescharacteristic
388C2×C22⋊C4×C59C2311yescharacteristic
389C2×C22⋊C4×C59C2311yescharacteristic
390C2×C42×C59C2311yescharacteristic
391#95×C59C2311yescharacteristic
392#95×C59C2311yescharacteristic
393#95×C59C2311yescharacteristic
394#95×C59C2311yescharacteristic
395#95×C59C2311yescharacteristic
396#95×C59C2311yescharacteristic
397C24×C59C2411yescharacteristic
398C24×C59C2411yescharacteristic
399C24×C59C2411yescharacteristic
400C23×D59—22no—
401C23×D59—22no—
402C23×D59—22no—
403C23×D59—22no—
404C23×D59—22no—
405C23×D59—22no—
406C23×D59—22no—
407C23×D59—22no—
408C23×D59—22no—
409C23×D59—22no—
410C23×D59—41no—
411C23×D59—41no—
412C23×D59—41no—
413C23×D59—41no—
414C23×D59—41no—
415C23×D59—41no—
416C23×D59—41no—
417C23×D59—41no—
418C23×D59—41no—
419C23×D59—41no—
420C23×D59C2×D414yes—
421C23×D59C2411yescharacteristic
422C23×D59C2411yescharacteristic
423C23×D59C2411yescharacteristic
424C23×D59C2411yescharacteristic
425C2×Q8×C59—22no—
426C2×Q8×C59—41no—
427C2×Q8×C59—41no—
428C2×D4×C59—22no—
429C2×D4×C59—22no—
430C2×D4×C59—22no—
431C2×D4×C59—22no—
432C2×D4×C59—22no—
433C2×D4×C59—22no—
434C2×D4×C59—41no—
435C2×D4×C59—41no—
436C2×D4×C59—41no—
437C22×C4×C59—22no—
438C22×C4×C59—22no—
439C22×C4×C59—22no—
440C22×C4×C59—41no—
441C22×C4×C59—41no—
442C22×C4×C59—41no—
443C22×C4×C59C2411yescharacteristic
444C22×C4×C59C2411yescharacteristic
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—41no—
468C2×C22⋊D59—41no—
469C2×C22⋊D59—41no—
470C2×C22⋊D59—41no—
471C2×C22⋊D59—41no—
472C2×C22⋊D59—41no—
473C22×Dic59—22no—
474C22×Dic59—22no—
475C22×Dic59—22no—
476C22×Dic59—41no—
477C22×Dic59—41no—
478C22×Dic59—41no—
479C22×Dic59C2411yescharacteristic
480C22×Dic59C2411yescharacteristic
481C22×Dic59C2411yescharacteristic
482C22×Dic59C2411yescharacteristic
483C22×Dic59C2411yescharacteristic
484C22×Dic59C2411yescharacteristic
485C22×Dic59C2411yescharacteristic
486C22×Dic59C2411yescharacteristic
487C22×Dic59C2411yescharacteristic
488C22×Dic59C2411yescharacteristic
489C22×Dic59C2411yescharacteristic
490C22×Dic59C2411yescharacteristic
491D4×D59—416no—
492D4×D59—416no—
493D4×D59—416no—
494C2×D236—22no—
495C2×D236—22no—
496C2×D236—22no—
497C2×D236—22no—
498C2×D236—22no—
499C2×D236—22no—
500C2×D236—41no—
501C2×D236—41no—
502C2×D236—41no—
503C2×C4×D59—22no—
504C2×C4×D59—22no—
505C2×C4×D59—22no—
506C2×C4×D59—22no—
507C2×C4×D59—22no—
508C2×C4×D59—22no—
509C2×C4×D59—22no—
510C2×C4×D59—22no—
511C2×C4×D59—22no—
512C2×C4×D59—22no—
513C2×C4×D59—416no—
514C2×C4×D59—41no—
515C2×C4×D59—41no—
516C2×C4×D59—41no—
517C2×C4×D59—41no—
518C2×C4×D59—41no—
519C2×C4×D59—41no—
520C2×C4×D59—41no—
521C2×C4×D59—41no—
522C2×C4×D59—41no—
523C2×C4×D59—41no—
524C2×C4×D59—41no—
525C2×C4×D59—41no—
526C2×C4×D59C2×D414yes—
527C2×C4×D59C2×D414yes—
528C2×Dic118—22no—
529C2×Dic118—22no—
530C2×Dic118—22no—
531C2×Dic118—41no—
532C2×Dic118—41no—
533C2×Dic118—41no—
534C2×Dic118—41no—
535C2×Dic118—41no—
536C2×Dic118—41no—
537C4⋊C4×C59—22no—
538C4⋊C4×C59—22no—
539C4⋊C4×C59—22no—
540C4⋊C4×C59—22no—
541C4⋊C4×C59—22no—
542C4⋊C4×C59—22no—
543C4⋊C4×C59—22no—
544C4⋊C4×C59—41no—
545C4⋊C4×C59—41no—
546C22⋊C4×C59—22no—
547C22⋊C4×C59—22no—
548C22⋊C4×C59—22no—
549C22⋊C4×C59—41no—
550C22⋊C4×C59—41no—
551C22⋊C4×C59—41no—
552C22⋊C4×C59—41no—
553C22⋊C4×C59—41no—
554C22⋊C4×C59—41no—
555C22⋊C4×C59—41no—
556C22⋊C4×C59—41no—
557C22⋊C4×C59—41no—
558C22⋊C4×C59C2×D414yes—
559C42×C59—41no—
560C22⋊Dic59—22no—
561C22⋊Dic59—22no—
562C22⋊Dic59—22no—
563C22⋊Dic59—22no—
564C22⋊Dic59—22no—
565C22⋊Dic59—41no—
566C22⋊Dic59—41no—
567C22⋊Dic59—41no—
568C22⋊Dic59—41no—
569C22⋊Dic59—41no—
570C22⋊Dic59—41no—
571C22⋊Dic59—41no—
572C22⋊Dic59C2×D414yes—
573(C2×D59)⋊C4—22no—
574(C2×D59)⋊C4—22no—
575(C2×D59)⋊C4—22no—
576(C2×D59)⋊C4—22no—
577(C2×D59)⋊C4—22no—
578(C2×D59)⋊C4—22no—
579(C2×D59)⋊C4—22no—
580(C2×D59)⋊C4—22no—
581(C2×D59)⋊C4—22no—
582(C2×D59)⋊C4—22no—
583(C2×D59)⋊C4—22no—
584(C2×D59)⋊C4—22no—
585(C2×D59)⋊C4—22no—
586(C2×D59)⋊C4—22no—
587(C2×D59)⋊C4—22no—
588(C2×D59)⋊C4—22no—
589(C2×D59)⋊C4—41no—
590(C2×D59)⋊C4—41no—
591(C2×D59)⋊C4—41no—
592(C2×D59)⋊C4—41no—
593(C2×D59)⋊C4—41no—
594(C2×D59)⋊C4—41no—
595(C2×D59)⋊C4—41no—
596(C2×D59)⋊C4—41no—
597(C2×D59)⋊C4—41no—
598(C2×D59)⋊C4—41no—
599(C2×D59)⋊C4—41no—
600(C2×D59)⋊C4—41no—
601(C2×D59)⋊C4—41no—
602(C2×D59)⋊C4—41no—
603(C2×D59)⋊C4—41no—
604(C2×D59)⋊C4—41no—
605(C2×D59)⋊C4C2×D414yes—
606(C2×D59)⋊C4C2×D414yes—
607C4⋊Dic59—22no—
608C4⋊Dic59—22no—
609C4⋊Dic59—22no—
610C4⋊Dic59—22no—
611C4⋊Dic59—22no—
612C4⋊Dic59—41no—
613C4⋊Dic59—41no—
614C4⋊Dic59—41no—
615C4⋊Dic59—41no—
616Dic59⋊C4—22no—
617Dic59⋊C4—22no—
618Dic59⋊C4—22no—
619Dic59⋊C4—22no—
620Dic59⋊C4—22no—
621Dic59⋊C4—22no—
622Dic59⋊C4—22no—
623Dic59⋊C4—22no—
624Dic59⋊C4—22no—
625Dic59⋊C4—22no—
626Dic59⋊C4—22no—
627Dic59⋊C4—22no—
628Dic59⋊C4—41no—
629Dic59⋊C4—41no—
630Dic59⋊C4—41no—
631Dic59⋊C4—41no—
632Dic59⋊C4—41no—
633Dic59⋊C4—41no—
634C4×Dic59—41no—
635C4×Dic59—41no—
636C4×Dic59—41no—
637C23×C59—21no—
638C23×C59—21no—
639C23×C59—21no—
640C23×C59—21no—
641C23×C59—21no—
642C23×C59—21no—
643C23×C59—21no—
644C23×C59—21no—
645C23×C59—21no—
646C23×C59—21no—
647C23×C59—21no—
648C23×C59—21no—
649C23×C59—21no—
650C23×C59—21no—
651C23×C59—21no—
652C23×C59—21no—
653C23×C59—21no—
654C23×C59—21no—
655C23×C59—21no—
656C23×C59C22×D412yes—
657C23×C59H(5,𝔽2)12yes—
658C23×C59C2511yescharacteristic
659C22×D59—21no—
660C22×D59—21no—
661C22×D59—21no—
662C22×D59—21no—
663C22×D59—28no—
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—28no—
677C22×D59—21no—
678C22×D59—21no—
679C22×D59—21no—
680C22×D59—21no—
681C22×D59—21no—
682C22×D59—21no—
683C22×D59—21no—
684C22×D59—44no—
685C22×D59—44no—
686C22×D59—44no—
687C22×D59—44no—
688C22×D59—44no—
689C22×D59—44no—
690C22×D59—44no—
691C22×D59—44no—
692C22×D59—44no—
693C22×D59—44no—
694C22×D59—44no—
695C22×D59—82no—
696C22×D59—82no—
697C22×D59—82no—
698C22×D59—82no—
699C22×D59—82no—
700C22×D59—82no—
701C22×D59—82no—
702C22×D59—82no—
703C22×D59C22×D412yes—
704C22×D59C22×D412yes—
705C22×D59H(5,𝔽2)12yes—
706C22×D592−1+412yes—
707C22×D592−1+412yes—
708Q8×C59—82no—
709D4×C59—44no—
710D4×C59—44no—
711D4×C59—44no—
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—21no—
720C2×C4×C59—21no—
721C2×C4×C59—21no—
722C2×C4×C59—21no—
723C2×C4×C59—21no—
724C2×C4×C59—21no—
725C2×C4×C59—21no—
726C2×C4×C59—21no—
727C2×C4×C59—21no—
728C2×C4×C59—21no—
729C2×C4×C59—21no—
730C2×C4×C59—21no—
731C2×C4×C59—21no—
732C2×C4×C59—21no—
733C2×C4×C59—21no—
734C2×C4×C59—21no—
735C2×C4×C59—21no—
736C2×C4×C59—21no—
737C2×C4×C59—21no—
738C2×C4×C59—21no—
739C2×C4×C59—21no—
740C2×C4×C59—21no—
741C2×C4×C59—21no—
742C2×C4×C59—21no—
743C2×C4×C59—21no—
744C2×C4×C59—21no—
745C2×C4×C59—44no—
746C2×C4×C59—82no—
747C2×C4×C59C22×D412yes—
748C2×C4×C59C22×D412yes—
749C2×C4×C59H(5,𝔽2)12yes—
750C22⋊D59—44no—
751C22⋊D59—44no—
752C22⋊D59—44no—
753C22⋊D59—44no—
754C22⋊D59—44no—
755C22⋊D59—44no—
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—21no—
782C2×Dic59—21no—
783C2×Dic59—21no—
784C2×Dic59—21no—
785C2×Dic59—21no—
786C2×Dic59—21no—
787C2×Dic59—21no—
788C2×Dic59—21no—
789C2×Dic59—44no—
790C2×Dic59—82no—
791C2×Dic59C22×D412yes—
792C2×Dic59C22×D412yes—
793C2×Dic59H(5,𝔽2)12yes—
794D236—44no—
795D236—44no—
796D236—44no—
797C4×D59—28no—
798C4×D59—44no—
799C4×D59—44no—
800C4×D59—44no—
801C4×D59—44no—
802C4×D59—44no—
803C4×D59—82no—
804C4×D59—82no—
805Dic118—82no—
806Dic118—82no—
807Dic118—82no—
808#36718—591nomaximal, Sylow
809C22×C59—22no—
810C22×C59—22no—
811C22×C59—22no—
812C22×C59—22no—
813C22×C59—22no—
814C22×C59—22no—
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—41no—
825C22×C59—41no—
826C22×C59—41no—
827C22×C59—41no—
828C22×C59—41no—
829C22×C59—41no—
830C22×C59C23×D411yescharacteristic
831C22×C59C2×H(5,𝔽2)11yescharacteristic
832C22×C59C2×H(5,𝔽2)11yescharacteristic
833C22×C59C2×H(5,𝔽2)11yescharacteristic
834C22×C59C2×H(5,𝔽2)11yescharacteristic
835C22×C59C2×2−1+411yescharacteristic
836C22×C59C2×2−1+411yescharacteristic
837C2×D59—22no—
838C2×D59—22no—
839C2×D59—22no—
840C2×D59—22no—
841C2×D59—22no—
842C2×D59—22no—
843C2×D59—22no—
844C2×D59—22no—
845C2×D59—22no—
846C2×D59—22no—
847C2×D59—22no—
848C2×D59—22no—
849C2×D59—416no—
850C2×D59—41no—
851C2×D59—41no—
852C2×D59—41no—
853C2×D59—41no—
854C2×D59—41no—
855C2×D59—41no—
856C2×D59—41no—
857C2×D59—41no—
858C2×D59—41no—
859C2×D59—41no—
860C2×D59—41no—
861C2×D59—41no—
862C2×D59—41no—
863C2×D59—41no—
864C2×D59—41no—
865C2×D59—88no—
866C2×D59—88no—
867C2×D59#53614yes—
868C4×C59—22no—
869C4×C59—22no—
870C4×C59—22no—
871C4×C59—41no—
872C4×C59—41no—
873C4×C59—41no—
874C4×C59—41no—
875C4×C59—41no—
876C4×C59—41no—
877C4×C59—41no—
878C4×C59—41no—
879C4×C59—41no—
880Dic59—22no—
881Dic59—22no—
882Dic59—22no—
883Dic59—41no—
884Dic59—41no—
885Dic59—41no—
886Dic59—41no—
887Dic59—41no—
888Dic59—41no—
889Dic59—41no—
890Dic59—41no—
891Dic59—41no—
892C2×#543—591no—
893C22×#121—591no—
894#2848—591no—
895#2848—591no—
896#2681—591no—
897#2681—591no—
898#2681—591no—
899#2681—591no—
900#2681—591no—
901#2681—591no—
902#2681—591no—
903#2681D5911yescharacteristic, complemented
904#2672—591no—
905#2672—591no—
906#2672—591no—
907#2672—591no—
908#2672—591no—
909#2672—591no—
910#2672—591no—
911#2672—591no—
912#2626—591no—
913#2626—591no—
914#2583—591no—
915#2583—591no—
916#2435—591no—
917#2435—591no—
918#2405—591no—
919#2405—591no—
920#2405—591no—
921#2405—591no—
922#2312—591no—
923C2×C59—42no—
924C2×C59—42no—
925C2×C59—81no—
926C2×C59C2×#53611yescharacteristic
927C2×C59#348411yescharacteristic
928C2×C59#348411yescharacteristic
929C2×C59#353611yescharacteristic
930C2×C59#353611yescharacteristic
931C2×C59#353611yescharacteristic
932C2×C59#353611yescharacteristic
933D59—24no—
934D59—42no—
935D59—42no—
936D59—81no—
937C23×D4—591no—
938C23×D4—591no—
939C23×D4—591no—
940C24×C4—591no—
941#543—1188no—
942C2×#124—591no—
943C2×#124—591no—
944C2×#124—591no—
945C2×#124—591no—
946C2×#123—591no—
947C2×#123—591no—
948C2×#123—591no—
949C2×#123—591no—
950C2×#123—591no—
951C2×#123—591no—
952C2×#123—591no—
953C2×#123C2×D5911yescharacteristic, complemented
954C2×C22⋊Q8—591no—
955C2×C22⋊Q8—591no—
956C2×C22⋊Q8—591no—
957C2×C22⋊Q8—591no—
958C2×C22⋊Q8—591no—
959C2×C22⋊Q8—591no—
960C2×C22⋊Q8—591no—
961C2×C22⋊Q8—591no—
962C2×C22⋊Q8—591no—
963C2×C22⋊Q8—591no—
964C2×C22⋊Q8—591no—
965C2×C22⋊Q8—591no—
966C2×C22⋊Q8—591no—
967C2×C22⋊Q8—591no—
968C2×C22⋊Q8C2×D5911yescharacteristic, complemented
969C2×C22⋊Q8C2×D5911yescharacteristic, complemented
970C2×#121—591no—
971C2×#121—591no—
972C2×#121—591no—
973C2×#121—591no—
974C2×#121—591no—
975C2×#121—591no—
976C2×#121—591no—
977C2×#121—1188no—
978C2×#121C2×D5911yescharacteristic
979C22×C4⋊C4—591no—
980C22×C22⋊C4—591no—
981C22×C22⋊C4—591no—
982C22×C22⋊C4—591no—
983C22×C22⋊C4—591no—
984#399—591no—
985#399—591no—
986#399—591no—
987#399—591no—
988#398—591no—
989#398—591no—
990#398—591no—
991#398C2×D5911yescharacteristic, complemented
992#396—591no—
993#396—591no—
994#396—591no—
995#396—591no—
996#396—591no—
997#396—591no—
998#396—591no—
999#396C2×D5911yescharacteristic, complemented
1000#395—591no—
1001#395—591no—
1002#395—591no—
1003#395—591no—
1004#394—591no—
1005#394—591no—
1006#394—591no—
1007#394—591no—
1008#394—591no—
1009#394—591no—
1010#394—591no—
1011#394—591no—
1012#394—591no—
1013#394—591no—
1014#394—591no—
1015#394—591no—
1016#394—591no—
1017#394—591no—
1018#394—591no—
1019#394—591no—
1020#394—591no—
1021#394—591no—
1022#394—591no—
1023#394—591no—
1024#394—591no—
1025#394C2×D5911yescharacteristic, complemented
1026#394C2×D5911yescharacteristic, complemented
1027#394C2×D5911yescharacteristic, complemented
1028#393—591no—
1029#393—591no—
1030#393—591no—
1031#393C2×D5911yescharacteristic, complemented
1032#390—591no—
1033#390—591no—
1034#390—591no—
1035#390C2×D5911yescharacteristic, complemented
1036#389—591no—
1037#389—591no—
1038#389—591no—
1039#389—591no—
1040#389—591no—
1041#389—591no—
1042#389—591no—
1043#389C2×D5911yescharacteristic, complemented
1044#388—591no—
1045#388—591no—
1046#388—591no—
1047#388—591no—
1048#388—591no—
1049#388—591no—
1050#388—591no—
1051#388C2×D5911yescharacteristic, complemented
1052#386—591no—
1053#386—591no—
1054#386—591no—
1055#386—591no—
1056#386—591no—
1057#386—591no—
1058#386—591no—
1059#386C2×D5911yescharacteristic, complemented
1060#385—591no—
1061#385—591no—
1062#385—591no—
1063#385—591no—
1064#385—591no—
1065#385—591no—
1066#385—591no—
1067#385—591no—
1068#385—591no—
1069#385—591no—
1070#385—591no—
1071#385—591no—
1072#385—591no—
1073#385—591no—
1074#385—591no—
1075#385C2×D5911yescharacteristic, complemented
1076#380—591no—
1077#380—591no—
1078#380—591no—
1079#380—591no—
1080#380—591no—
1081#380—591no—
1082#379—591no—
1083#379—591no—
1084#379—591no—
1085#379—591no—
1086#379—591no—
1087#379—591no—
1088#379—591no—
1089#379—591no—
1090#379—591no—
1091#379—591no—
1092C4×C22⋊C4—591no—
1093C4×C22⋊C4—591no—
1094C59#3671811yescharacteristic, complemented, Sylow
1095C25—591no—
1096C25—591no—
1097C25—591no—
1098C22×Q8—591no—
1099C22×Q8—591no—
1100C22×Q8—591no—
1101C22×Q8C22×D5911yescharacteristic
1102C22×D4—591no—
1103C22×D4—591no—
1104C22×D4—591no—
1105C22×D4—591no—
1106C22×D4—591no—
1107C22×D4—591no—
1108C22×D4—591no—
1109C22×D4—591no—
1110C22×D4—591no—
1111C22×D4—1184no—
1112C22×D4—1184no—
1113C22×D4—1184no—
1114C22×D4—2362no—
1115C22×D4—2362no—
1116C22×D4—2362no—
1117C22×D4—2362no—
1118C22×D4—2362no—
1119C22×D4—2362no—
1120C22×D4C22×D5911yescharacteristic
1121C22×D4C22×D5911yescharacteristic
1122C22×D4C22×D5911yescharacteristic
1123C23×C4—591no—
1124C23×C4—591no—
1125C23×C4—591no—
1126C23×C4—591no—
1127C23×C4—591no—
1128C23×C4—591no—
1129C23×C4—591no—
1130C23×C4—591no—
1131C23×C4—591no—
1132C23×C4—591no—
1133C23×C4—1184no—
1134C23×C4—2362no—
1135C23×C4—2362no—
1136C23×C4C22×D5911yescharacteristic
1137C23×C4C22×D5911yescharacteristic
1138#124—2362no—
1139#124—2362no—
1140#124—2362no—
1141#124—2362no—
1142#123—42no—
1143#123—2362no—
1144#123—2362no—
1145#123—2362no—
1146#123—2362no—
1147#123—2362no—
1148#123—2362no—
1149#123—2362no—
1150C22⋊Q8—24no—
1151C22⋊Q8—42no—
1152C22⋊Q8—1184no—
1153C22⋊Q8—1184no—
1154C22⋊Q8—1184no—
1155C22⋊Q8—1184no—
1156C22⋊Q8—1184no—
1157C22⋊Q8—1184no—
1158C22⋊Q8—1184no—
1159C22⋊Q8—1184no—
1160C22⋊Q8—1184no—
1161C22⋊Q8—1184no—
1162C22⋊Q8—1184no—
1163C22⋊Q8—2362no—
1164C22⋊Q8—2362no—
1165C22⋊Q8—2362no—
1166#121—24no—
1167#121—1184no—
1168#121—1184no—
1169#121—1184no—
1170#121—1184no—
1171#121—1184no—
1172#121—1184no—
1173#121—1184no—
1174C2×C4⋊C4—591no—
1175C2×C4⋊C4—591no—
1176C2×C4⋊C4—591no—
1177C2×C4⋊C4—591no—
1178C2×C4⋊C4—591no—
1179C2×C4⋊C4—591no—
1180C2×C4⋊C4—591no—
1181C2×C4⋊C4—591no—
1182C2×C4⋊C4—591no—
1183C2×C4⋊C4—591no—
1184C2×C4⋊C4—591no—
1185C2×C4⋊C4—591no—
1186C2×C4⋊C4—591no—
1187C2×C4⋊C4—591no—
1188C2×C4⋊C4—591no—
1189C2×C4⋊C4—591no—
1190C2×C4⋊C4—591no—
1191C2×C4⋊C4—591no—
1192C2×C4⋊C4—591no—
1193C2×C4⋊C4—591no—
1194C2×C4⋊C4—591no—
1195C2×C4⋊C4—591no—
1196C2×C4⋊C4—591no—
1197C2×C4⋊C4—591no—
1198C2×C4⋊C4—591no—
1199C2×C4⋊C4—591no—
1200C2×C4⋊C4—591no—
1201C2×C4⋊C4—1184no—
1202C2×C4⋊C4C22×D5911yescharacteristic
1203C2×C4⋊C4C22×D5911yescharacteristic
1204C2×C4⋊C4C22×D5911yescharacteristic
1205C2×C4⋊C4C22×D5911yescharacteristic
1206C2×C4⋊C4C22×D5911yescharacteristic
1207C2×C4⋊C4C22×D5911yescharacteristic
1208C2×C4⋊C4C22×D5911yescharacteristic
1209C2×C4⋊C4C22×D5911yescharacteristic
1210C2×C4⋊C4C22×D5911yescharacteristic
1211C2×C22⋊C4—591no—
1212C2×C22⋊C4—591no—
1213C2×C22⋊C4—591no—
1214C2×C22⋊C4—598no—
1215C2×C22⋊C4—591no—
1216C2×C22⋊C4—591no—
1217C2×C22⋊C4—591no—
1218C2×C22⋊C4—591no—
1219C2×C22⋊C4—591no—
1220C2×C22⋊C4—591no—
1221C2×C22⋊C4—591no—
1222C2×C22⋊C4—591no—
1223C2×C22⋊C4—591no—
1224C2×C22⋊C4—591no—
1225C2×C22⋊C4—591no—
1226C2×C22⋊C4—591no—
1227C2×C22⋊C4—591no—
1228C2×C22⋊C4—591no—
1229C2×C22⋊C4—591no—
1230C2×C22⋊C4—591no—
1231C2×C22⋊C4—591no—
1232C2×C22⋊C4—591no—
1233C2×C22⋊C4—591no—
1234C2×C22⋊C4—591no—
1235C2×C22⋊C4—591no—
1236C2×C22⋊C4—591no—
1237C2×C22⋊C4—591no—
1238C2×C22⋊C4—591no—
1239C2×C22⋊C4—591no—
1240C2×C22⋊C4—591no—
1241C2×C22⋊C4—591no—
1242C2×C22⋊C4—591no—
1243C2×C22⋊C4—591no—
1244C2×C22⋊C4—591no—
1245C2×C22⋊C4—591no—
1246C2×C22⋊C4—591no—
1247C2×C22⋊C4—591no—
1248C2×C22⋊C4—591no—
1249C2×C22⋊C4—591no—
1250C2×C22⋊C4—591no—
1251C2×C22⋊C4—591no—
1252C2×C22⋊C4—591no—
1253C2×C22⋊C4—591no—
1254C2×C22⋊C4—591no—
1255C2×C22⋊C4—591no—
1256C2×C22⋊C4—591no—
1257C2×C22⋊C4—591no—
1258C2×C22⋊C4—591no—
1259C2×C22⋊C4—1184no—
1260C2×C22⋊C4—1184no—
1261C2×C22⋊C4—1184no—
1262C2×C22⋊C4C22×D5911yescharacteristic
1263C2×C22⋊C4C22×D5911yescharacteristic
1264C2×C22⋊C4C22×D5911yescharacteristic
1265C2×C22⋊C4C22×D5911yescharacteristic
1266C2×C22⋊C4C22×D5911yescharacteristic
1267C2×C22⋊C4C22×D5911yescharacteristic
1268C2×C22⋊C4C22×D5911yescharacteristic
1269C2×C22⋊C4C22×D5911yescharacteristic
1270C2×C22⋊C4C22×D5911yescharacteristic
1271C2×C22⋊C4C22×D5911yescharacteristic
1272C2×C22⋊C4C22×D5911yescharacteristic
1273C2×C22⋊C4C22×D5911yescharacteristic
1274C2×C22⋊C4C22×D5911yescharacteristic
1275C2×C42—591no—
1276C2×C42—591no—
1277C2×C42—591no—
1278C2×C42C22×D5911yescharacteristic
1279#95—591no—
1280#95—591no—
1281#95—591no—
1282#95—591no—
1283#95—591no—
1284#95—591no—
1285#95—591no—
1286#95—591no—
1287#95—591no—
1288#95—591no—
1289#95—591no—
1290#95—591no—
1291#95—591no—
1292#95—591no—
1293#95—591no—
1294#95—591no—
1295#95—591no—
1296#95—591no—
1297#95C22×D5911yescharacteristic
1298#95C22×D5911yescharacteristic
1299#95C22×D5911yescharacteristic
1300#95C22×D5911yescharacteristic
1301#95C22×D5911yescharacteristic
1302#95C22×D5911yescharacteristic
1303C24—591no—
1304C24—591no—
1305C24—591no—
1306C24—594no—
1307C24—591no—
1308C24—1182no—
1309C24—1182no—
1310C24—1182no—
1311C24—1182no—
1312C24—1182no—
1313C24—1182no—
1314C24—1182no—
1315C24—1182no—
1316C24—1182no—
1317C24—1182no—
1318C24—2361no—
1319C24—2361no—
1320C24—2361no—
1321C24—2361no—
1322C24—2361no—
1323C24—2361no—
1324C24—2361no—
1325C24—2361no—
1326C24—2361no—
1327C24—2361no—
1328C24C23×D5911yescharacteristic
1329C24C23×D5911yescharacteristic
1330C24C23×D5911yescharacteristic
1331C2×Q8—22no—
1332C2×Q8—41no—
1333C2×Q8—41no—
1334C2×Q8—1182no—
1335C2×Q8—1182no—
1336C2×Q8—1182no—
1337C2×Q8—2361no—
1338C2×Q8—2361no—
1339C2×Q8—2361no—
1340C2×Q8—2361no—
1341C2×Q8—2361no—
1342C2×Q8—2361no—
1343C2×D4—22no—
1344C2×D4—22no—
1345C2×D4—22no—
1346C2×D4—22no—
1347C2×D4—22no—
1348C2×D4—22no—
1349C2×D4—41no—
1350C2×D4—41no—
1351C2×D4—41no—
1352C2×D4—1182no—
1353C2×D4—1182no—
1354C2×D4—1182no—
1355C2×D4—1182no—
1356C2×D4—1182no—
1357C2×D4—1182no—
1358C2×D4—1182no—
1359C2×D4—1182no—
1360C2×D4—1182no—
1361C2×D4—1182no—
1362C2×D4—1182no—
1363C2×D4—1182no—
1364C2×D4—1182no—
1365C2×D4—1182no—
1366C2×D4—1182no—
1367C2×D4—1182no—
1368C2×D4—1182no—
1369C2×D4—1182no—
1370C2×D4—2361no—
1371C2×D4—2361no—
1372C2×D4—2361no—
1373C2×D4—23616no—
1374C2×D4—2361no—
1375C2×D4—2361no—
1376C2×D4—2361no—
1377C2×D4—2361no—
1378C2×D4—2361no—
1379C2×D4—2361no—
1380C2×D4—23616no—
1381C2×D4—23616no—
1382C22×C4—22no—
1383C22×C4—22no—
1384C22×C4—22no—
1385C22×C4—41no—
1386C22×C4—41no—
1387C22×C4—41no—
1388C22×C4—591no—
1389C22×C4—591no—
1390C22×C4—591no—
1391C22×C4—594no—
1392C22×C4—594no—
1393C22×C4—591no—
1394C22×C4—591no—
1395C22×C4—591no—
1396C22×C4—591no—
1397C22×C4—591no—
1398C22×C4—591no—
1399C22×C4—591no—
1400C22×C4—591no—
1401C22×C4—591no—
1402C22×C4—1182no—
1403C22×C4—1182no—
1404C22×C4—1182no—
1405C22×C4—1182no—
1406C22×C4—1182no—
1407C22×C4—1182no—
1408C22×C4—1182no—
1409C22×C4—1182no—
1410C22×C4—1182no—
1411C22×C4—1182no—
1412C22×C4—1182no—
1413C22×C4—1182no—
1414C22×C4—1182no—
1415C22×C4—2361no—
1416C22×C4—2361no—
1417C22×C4—2361no—
1418C22×C4—2361no—
1419C22×C4—2361no—
1420C22×C4—2361no—
1421C22×C4—2361no—
1422C22×C4—2361no—
1423C22×C4—2361no—
1424C22×C4—2361no—
1425C22×C4—2361no—
1426C22×C4—2361no—
1427C22×C4—23616no—
1428C22×C4—2361no—
1429C22×C4—2361no—
1430C22×C4—2361no—
1431C22×C4C23×D5911yescharacteristic
1432C22×C4C23×D5911yescharacteristic
1433C22×C4C23×D5911yescharacteristic
1434C22×C4C23×D5911yescharacteristic
1435C22×C4C23×D5911yescharacteristic
1436C22×C4C23×D5911yescharacteristic
1437C22×C4C23×D5911yescharacteristic
1438C22×C4C23×D5911yescharacteristic
1439C22×C4C23×D5911yescharacteristic
1440C22×C4C23×D5911yescharacteristic
1441C22×C4C23×D5911yescharacteristic
1442C22×C4C23×D5911yescharacteristic
1443C4⋊C4—22no—
1444C4⋊C4—22no—
1445C4⋊C4—22no—
1446C4⋊C4—22no—
1447C4⋊C4—22no—
1448C4⋊C4—22no—
1449C4⋊C4—22no—
1450C4⋊C4—41no—
1451C4⋊C4—41no—
1452C4⋊C4—1182no—
1453C4⋊C4—1182no—
1454C4⋊C4—1182no—
1455C4⋊C4—1182no—
1456C4⋊C4—1182no—
1457C4⋊C4—1182no—
1458C4⋊C4—1182no—
1459C4⋊C4—1182no—
1460C4⋊C4—1182no—
1461C4⋊C4—1182no—
1462C4⋊C4—1182no—
1463C4⋊C4—1182no—
1464C4⋊C4—1182no—
1465C4⋊C4—1182no—
1466C4⋊C4—1182no—
1467C4⋊C4—1182no—
1468C4⋊C4—1182no—
1469C4⋊C4—2361no—
1470C4⋊C4—2361no—
1471C4⋊C4—2361no—
1472C4⋊C4—2361no—
1473C4⋊C4—2361no—
1474C4⋊C4—2361no—
1475C4⋊C4—2361no—
1476C4⋊C4—2361no—
1477C4⋊C4—2361no—
1478C4⋊C4—2361no—
1479C22⋊C4—22no—
1480C22⋊C4—22no—
1481C22⋊C4—22no—
1482C22⋊C4—41no—
1483C22⋊C4—41no—
1484C22⋊C4—41no—
1485C22⋊C4—41no—
1486C22⋊C4—41no—
1487C22⋊C4—41no—
1488C22⋊C4—41no—
1489C22⋊C4—41no—
1490C22⋊C4—41no—
1491C22⋊C4—594no—
1492C22⋊C4—594no—
1493C22⋊C4—594no—
1494C22⋊C4—1182no—
1495C22⋊C4—1182no—
1496C22⋊C4—1182no—
1497C22⋊C4—1182no—
1498C22⋊C4—1182no—
1499C22⋊C4—1182no—
1500C22⋊C4—1182no—
1501C22⋊C4—1182no—
1502C22⋊C4—1182no—
1503C22⋊C4—1182no—
1504C22⋊C4—1182no—
1505C22⋊C4—1182no—
1506C22⋊C4—1182no—
1507C22⋊C4—1182no—
1508C22⋊C4—1182no—
1509C22⋊C4—1182no—
1510C22⋊C4—1182no—
1511C22⋊C4—1182no—
1512C22⋊C4—1182no—
1513C22⋊C4—1182no—
1514C22⋊C4—1182no—
1515C22⋊C4—2361no—
1516C22⋊C4—2361no—
1517C22⋊C4—2361no—
1518C22⋊C4—2361no—
1519C22⋊C4—2361no—
1520C22⋊C4—2361no—
1521C22⋊C4—2361no—
1522C22⋊C4—2361no—
1523C22⋊C4—2361no—
1524C22⋊C4—2361no—
1525C22⋊C4—2361no—
1526C22⋊C4—2361no—
1527C22⋊C4—2361no—
1528C22⋊C4—2361no—
1529C22⋊C4—2361no—
1530C22⋊C4—2361no—
1531C22⋊C4—2361no—
1532C22⋊C4—2361no—
1533C22⋊C4—2361no—
1534C22⋊C4—2361no—
1535C22⋊C4—2361no—
1536C22⋊C4—2361no—
1537C22⋊C4—2361no—
1538C22⋊C4D4×D5914yes—
1539C42—41no—
1540C42—2361no—
1541C42—2361no—
1542C42—2361no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—592no—
1563C23—592no—
1564C23—592no—
1565C23—592no—
1566C23—592no—
1567C23—1188no—
1568C23—1188no—
1569C23—1181no—
1570C23—1181no—
1571C23—1181no—
1572C23—1181no—
1573C23—1181no—
1574C23—1181no—
1575C23—1181no—
1576C23—1181no—
1577C23—1181no—
1578C23—1181no—
1579C23—1181no—
1580C23—1181no—
1581C23—1181no—
1582C23—1181no—
1583C23—1181no—
1584C23—1181no—
1585C23—1181no—
1586C23—1181no—
1587C23—1181no—
1588C23—1181no—
1589C23—1181no—
1590C23—1181no—
1591C23—1181no—
1592C23—4722no—
1593C23—4722no—
1594C23—4722no—
1595C23—4722no—
1596C23—4722no—
1597C23—4722no—
1598C23—4722no—
1599C23—4722no—
1600C23—2364no—
1601C23—2364no—
1602C23—2364no—
1603C23—2364no—
1604C23—2364no—
1605C23—2364no—
1606C23—2364no—
1607C23—2364no—
1608C23—2364no—
1609C23—2364no—
1610C23—2364no—
1611C23C2×D4×D5912yes—
1612C23#1427377312yes—
1613C23C24×D5911yescharacteristic
1614Q8—82no—
1615Q8—4722no—
1616Q8—4722no—
1617Q8—4722no—
1618D4—44no—
1619D4—44no—
1620D4—44no—
1621D4—2364no—
1622D4—2364no—
1623D4—2364no—
1624D4—2364no—
1625D4—2364no—
1626D4—2364no—
1627D4—2364no—
1628D4—2364no—
1629D4—2364no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—44no—
1664C2×C4—82no—
1665C2×C4—592no—
1666C2×C4—592no—
1667C2×C4—592no—
1668C2×C4—1188no—
1669C2×C4—1181no—
1670C2×C4—1181no—
1671C2×C4—1181no—
1672C2×C4—1181no—
1673C2×C4—1181no—
1674C2×C4—1181no—
1675C2×C4—1181no—
1676C2×C4—1181no—
1677C2×C4—1181no—
1678C2×C4—1181no—
1679C2×C4—1181no—
1680C2×C4—1181no—
1681C2×C4—1181no—
1682C2×C4—1181no—
1683C2×C4—1181no—
1684C2×C4—1181no—
1685C2×C4—1181no—
1686C2×C4—1181no—
1687C2×C4—1181no—
1688C2×C4—1181no—
1689C2×C4—1181no—
1690C2×C4—1181no—
1691C2×C4—1181no—
1692C2×C4—1181no—
1693C2×C4—1181no—
1694C2×C4—1181no—
1695C2×C4—1181no—
1696C2×C4—1181no—
1697C2×C4—1181no—
1698C2×C4—1181no—
1699C2×C4—1181no—
1700C2×C4—1181no—
1701C2×C4—1181no—
1702C2×C4—4722no—
1703C2×C4—4722no—
1704C2×C4—4722no—
1705C2×C4—2364no—
1706C2×C4—2364no—
1707C2×C4—2364no—
1708C2×C4—2364no—
1709C2×C4—2364no—
1710C2×C4—2364no—
1711C2×C4C2×D4×D5912yes—
1712C2×C4C2×D4×D5912yes—
1713C2×C4#1427377212yes—
1714C22—22no—
1715C22—22no—
1716C22—22no—
1717C22—22no—
1718C22—22no—
1719C22—22no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—594no—
1736C22—1182no—
1737C22—1182no—
1738C22—1182no—
1739C22—1182no—
1740C22—1182no—
1741C22—1182no—
1742C22—1182no—
1743C22—1182no—
1744C22—1182no—
1745C22—1182no—
1746C22—1182no—
1747C22—1182no—
1748C22—4728no—
1749C22—4728no—
1750C22—23616no—
1751C22—2361no—
1752C22—2361no—
1753C22—2361no—
1754C22—2361no—
1755C22—2361no—
1756C22—2361no—
1757C22—2361no—
1758C22—2361no—
1759C22—2361no—
1760C22—2361no—
1761C22—2361no—
1762C22—2361no—
1763C22—2361no—
1764C22—2361no—
1765C22—2361no—
1766C22C22×D4×D5911yescharacteristic
1767C22H(5,𝔽2)×D5911yescharacteristic
1768C22H(5,𝔽2)×D5911yescharacteristic
1769C22C2×#1427377211yescharacteristic
1770C22C2×#1427377311yescharacteristic
1771C222−1+4×D5911yescharacteristic
1772C222−1+4×D5911yescharacteristic
1773C4—22no—
1774C4—22no—
1775C4—22no—
1776C4—41no—
1777C4—41no—
1778C4—41no—
1779C4—41no—
1780C4—41no—
1781C4—41no—
1782C4—41no—
1783C4—41no—
1784C4—41no—
1785C4—1182no—
1786C4—1182no—
1787C4—1182no—
1788C4—2361no—
1789C4—2361no—
1790C4—2361no—
1791C4—2361no—
1792C4—2361no—
1793C4—2361no—
1794C4—2361no—
1795C4—2361no—
1796C4—2361no—
1797C2—42no—
1798C2—42no—
1799C2—81no—
1800C2—1184no—
1801C2—4721no—
1802C2—2362no—
1803C2—2362no—
1804C2#536×D5911yescharacteristic
1805C2#2143772411yescharacteristic
1806C2#2143772611yescharacteristic
1807C2#2143831211yescharacteristic
1808C2#2143831411yescharacteristic
1809C2#2143831511yescharacteristic
1810C2#2143832011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2681C2
prime radicalC2×#121×D59C2
hypercenter#2681D59
hypocenterC59#36718
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2681

Complements

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

NH ≅ G/Ntype
1. C2×#16838027C2semidirect
3. #21432382C2semidirect
4. #21432380C2semidirect
5. #21430455C2semidirect
6. #21430452C2semidirect
7. #21430451C2semidirect
8. #21430448C2semidirect
9. #21430445C2semidirect
10. #21430444C2semidirect
11. #21430441C2semidirect
12. #21430354C2semidirect
13. #21430353C2semidirect
14. #21430350C2semidirect
15. #21430349C2semidirect
16. #21430345C2semidirect
17. #21430344C2semidirect
18. #21430341C2semidirect
19. #21430340C2semidirect
20. #21429906C2semidirect
21. #21429900C2semidirect
22. #21429474C2semidirect
23. #21429470C2semidirect
24. #21427746C2semidirect
25. #21427742C2semidirect
26. #21427422C2semidirect
27. #21427420C2semidirect
28. #21427418C2semidirect
29. #21427418C2semidirect
30. #21426690C2semidirect
31. C59×#2681C2semidirect
37. C2×#14273715C22semidirect
38. C2×#14273714C22semidirect
39. C2×#14273713C22semidirect
40. C2×#14273713C22semidirect
41. C2×#14273712C22semidirect
42. C2×#14273712C22semidirect
43. C2×#14273711C22semidirect
44. C2×#14273710C22semidirect
45. C2×#14273709C22semidirect
46. C2×#14273709C22semidirect
47. C2×#14273708C22semidirect
49. C2×#14273707C22semidirect
50. C2×#14273706C22semidirect
53. C2×#14273705C22semidirect
54. C2×#14273705C22semidirect
55. C2×#14273705C22semidirect
56. C2×#14273704C22semidirect
57. C2×#14273704C22semidirect
58. C2×#14273704C22semidirect
60. C2×#14273703C22semidirect
61. C2×#14273703C22semidirect
75. #16837339C22semidirect
76. #16837338C22semidirect
77. #16837338C22semidirect
78. #16837337C22semidirect
79. #16837336C22semidirect
80. #16837335C22semidirect
81. #16837333C22semidirect
82. #16837326C22semidirect
83. #16837326C22semidirect
84. #16837325C22semidirect
85. #16837325C22semidirect
86. #16837325C22semidirect
87. #16837324C22semidirect
88. #16837324C22semidirect
89. #16837323C22semidirect
90. #16837323C22semidirect
91. #16837322C22semidirect
92. #16837322C22semidirect
93. #16837320C22semidirect
94. #16837320C22semidirect
95. #16837320C22semidirect
96. #16837319C22semidirect
97. #16837319C22semidirect
98. #16837319C22semidirect
99. #16837318C22semidirect
100. #16837318C22semidirect
101. #16837318C22semidirect
102. #16837318C22semidirect
103. #16837318C22semidirect
104. #16837318C22semidirect
105. #16837318C22semidirect
106. #16837318C22semidirect
107. #16837317C22semidirect
108. #16837317C22semidirect
109. #16837317C22semidirect
110. #16837317C22semidirect
111. #16837316C22semidirect
112. #16837316C22semidirect
113. #16837316C22semidirect
114. #16837315C22semidirect
115. #16837314C22semidirect
116. #16837313C22semidirect
117. #16837303C22semidirect
118. #16837302C22semidirect
119. #16837302C22semidirect
120. #16837301C22semidirect
121. #16837301C22semidirect
122. #16837300C22semidirect
123. #16837299C22semidirect
124. #16837299C22semidirect
125. #16837297C22semidirect
126. #16837297C22semidirect
127. #16837296C22semidirect
128. #16837295C22semidirect
129. #16837294C22semidirect
130. #16837293C22semidirect
131. #16837292C22semidirect
132. #16837291C22semidirect
133. #16837290C22semidirect
134. #16837282C22semidirect
135. #16837281C22semidirect
136. #16837280C22semidirect
137. #16837280C22semidirect
138. #16837279C22semidirect
139. #16837278C22semidirect
140. #16837278C22semidirect
145. #16837276C22semidirect
146. #16837275C22semidirect
147. #16837274C22semidirect
148. #16837274C22semidirect
153. #16837273C22semidirect
154. #16837273C22semidirect
155. #16837273C22semidirect
156. #16837262C22semidirect
158. #16837261C22semidirect
159. #16837260C22semidirect
161. #16837259C22semidirect
174. C2×#123×C59C22semidirect
175. C2×C22⋊Q8×C59C22semidirect
176. C2×C22⋊Q8×C59C22semidirect
178. C59×#398C22semidirect
179. C59×#396C22semidirect
180. C59×#394C22semidirect
181. C59×#394C22semidirect
182. C59×#394C22semidirect
183. C59×#393C22semidirect
184. C59×#390C22semidirect
185. C59×#389C22semidirect
186. C59×#388C22semidirect
187. C59×#386C22semidirect
188. C59×#385C22semidirect
903. #2681D59semidirect
953. C2×#123C2×D59semidirect
968. C2×C22⋊Q8C2×D59semidirect
969. C2×C22⋊Q8C2×D59semidirect
991. #398C2×D59semidirect
999. #396C2×D59semidirect
1025. #394C2×D59semidirect
1026. #394C2×D59semidirect
1027. #394C2×D59semidirect
1031. #393C2×D59semidirect
1035. #390C2×D59semidirect
1043. #389C2×D59semidirect
1051. #388C2×D59semidirect
1059. #386C2×D59semidirect
1075. #385C2×D59semidirect
1094. C59#36718semidirect

Maximal subgroups

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

subgroupindex
C2×#168380272
C2×#121×D592
#214323822
#214323802
#214304552
#214304522
#214304512
#214304482
#214304452
#214304442
#214304412
#214303542
#214303532
#214303502
#214303492
#214303452
#214303442
#214303412
#214303402
#214299062
#214299002
#214294742
#214294702
#214277462
#214277422
#214274222
#214274202
#214274182
#214266902
C59×#26812
#3671859