Finite Group Databasebeta

← #28795835

Subgroups — #28795835

Order 15104.

2214 conjugacy classes of subgroups.

The subgroup lattice has 1706 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21432376C211yesmaximal, characteristic, complemented
2#21432376C211yesmaximal, characteristic, complemented
3#21431309C211yesmaximal, characteristic, complemented
4#21431307C211yesmaximal, characteristic, complemented
5#21431303C211yesmaximal, characteristic, complemented
6#21431303C211yesmaximal, characteristic, complemented
7#21431216C211yesmaximal, characteristic, complemented
8#21431212C211yesmaximal, characteristic, complemented
9#21431208C211yesmaximal, characteristic, complemented
10#21431204C211yesmaximal, characteristic, complemented
11#21430744C211yesmaximal, characteristic, complemented
12#21430740C211yesmaximal, characteristic, complemented
13#21430736C211yesmaximal, characteristic, complemented
14#21430732C211yesmaximal, characteristic, complemented
15#21430331C211yesmaximal, characteristic, complemented
16#21430328C211yesmaximal, characteristic, complemented
17#21430326C211yesmaximal, characteristic, complemented
18#21430325C211yesmaximal, characteristic, complemented
19#21430200C211yesmaximal, characteristic, complemented
20#21430068C211yesmaximal, characteristic, complemented
21#21427835C211yesmaximal, characteristic, complemented
22#21427833C211yesmaximal, characteristic, complemented
23#21427827C211yesmaximal, characteristic, complemented
24#21427825C211yesmaximal, characteristic, complemented
25#21427636C211yesmaximal, characteristic, complemented
26#21427632C211yesmaximal, characteristic, complemented
27#21427628C211yesmaximal, characteristic, complemented
28#21426797C211yesmaximal, characteristic, complemented
29#21426794C211yesmaximal, characteristic, complemented
30C2×#16837260C211yesmaximal, characteristic, complemented
31C59×#2424C211yesmaximal, characteristic, complemented
32C24×Dic59C2211yescharacteristic
33C2×#14273712C2211yescharacteristic, complemented
34C2×#14273710C2211yescharacteristic, complemented
35C2×#14273709C2211yescharacteristic, complemented
36C2×#14273708C2211yescharacteristic, complemented
37C2×#14273701C2211yescharacteristic
38C2×#14273700C2211yescharacteristic
39C2×#14273699C2211yescharacteristic
40C2×#14273699C2211yescharacteristic
41C2×#14273699C2211yescharacteristic
42C2×#14273699C2211yescharacteristic
43C2×#14273699C2211yescharacteristic
44C2×#14273699C2211yescharacteristic
45C2×#14273699C2211yescharacteristic
46C2×#14273699C2211yescharacteristic
47C2×#14273699C2211yescharacteristic
48C2×#14273698C2211yescharacteristic
49C2×#14273696C2211yescharacteristic
50C2×#14273696C2211yescharacteristic
51C2×D4×Dic59C2211yescharacteristic
52C2×C4×C22⋊D59C2211yescharacteristic
53C2×(C22⋊D59)⋊C4C2211yescharacteristic
54C22×Dic59⋊C4C2211yescharacteristic
55C22×Dic59⋊C4C2211yescharacteristic
56C22×C22⋊Dic59C2211yescharacteristic
57#16837343C2211yescharacteristic, complemented
58#16837343C2211yescharacteristic, complemented
59#16837342C2211yescharacteristic, complemented
60#16837340C2211yescharacteristic, complemented
61#16837338C2211yescharacteristic, complemented
62#16837338C2211yescharacteristic, complemented
63#16837338C2211yescharacteristic, complemented
64#16837338C2211yescharacteristic, complemented
65#16837337C2211yescharacteristic, complemented
66#16837337C2211yescharacteristic, complemented
67#16837337C2211yescharacteristic, complemented
68#16837337C2211yescharacteristic, complemented
69#16837336C2211yescharacteristic, complemented
70#16837336C2211yescharacteristic, complemented
71#16837335C2211yescharacteristic, complemented
72#16837335C2211yescharacteristic, complemented
73#16837333C2211yescharacteristic, complemented
74#16837333C2211yescharacteristic, complemented
75#16837332C2211yescharacteristic, complemented
76#16837332C2211yescharacteristic, complemented
77#16837331C2211yescharacteristic, complemented
78#16837331C2211yescharacteristic, complemented
79#16837330C2211yescharacteristic, complemented
80#16837330C2211yescharacteristic, complemented
81#16837325C2211yescharacteristic
82#16837325C2211yescharacteristic
83#16837325C2211yescharacteristic
84#16837320C2211yescharacteristic, complemented
85#16837318C2211yescharacteristic
86#16837318C2211yescharacteristic
87#16837317C2211yescharacteristic
88#16837317C2211yescharacteristic
89#16837317C2211yescharacteristic, complemented
90#16837317C2211yescharacteristic, complemented
91#16837316C2211yescharacteristic
92#16837316C2211yescharacteristic
93#16837316C2211yescharacteristic, complemented
94#16837311C2211yescharacteristic
95#16837311C2211yescharacteristic, complemented
96#16837311C2211yescharacteristic, complemented
97#16837310C2211yescharacteristic
98#16837310C2211yescharacteristic
99#16837310C2211yescharacteristic, complemented
100#16837310C2211yescharacteristic, complemented
101#16837305C2211yescharacteristic
102#16837302C2211yescharacteristic
103#16837302C2211yescharacteristic
104#16837296C2211yescharacteristic
105#16837296C2211yescharacteristic, complemented
106#16837296C2211yescharacteristic, complemented
107#16837295C2211yescharacteristic
108#16837293C2211yescharacteristic, complemented
109#16837293C2211yescharacteristic, complemented
110#16837291C2211yescharacteristic, complemented
111#16837291C2211yescharacteristic, complemented
112#16837290C2211yescharacteristic
113#16837290C2211yescharacteristic, complemented
114#16837290C2211yescharacteristic, complemented
115#16837289C2211yescharacteristic, complemented
116#16837289C2211yescharacteristic, complemented
117#16837286C2211yescharacteristic, complemented
118#16837286C2211yescharacteristic, complemented
119#16837284C2211yescharacteristic, complemented
120#16837284C2211yescharacteristic, complemented
121#16837283C2211yescharacteristic, complemented
122#16837283C2211yescharacteristic, complemented
123#16837282C2211yescharacteristic
124#16837282C2211yescharacteristic
125#16837282C2211yescharacteristic
126#16837282C2211yescharacteristic
127#16837282C2211yescharacteristic
128#16837282C2211yescharacteristic
129#16837282C2211yescharacteristic
130#16837282C2211yescharacteristic
131#16837281C2211yescharacteristic
132#16837281C2211yescharacteristic, complemented
133#16837279C2211yescharacteristic
134#16837279C2211yescharacteristic
135#16837279C2211yescharacteristic
136#16837279C2211yescharacteristic
137#16837279C2211yescharacteristic
138#16837279C2211yescharacteristic
139#16837279C2211yescharacteristic
140#16837279C2211yescharacteristic, complemented
141#16837278C2211yescharacteristic
142#16837278C2211yescharacteristic
143#16837278C2211yescharacteristic, complemented
144#16837278C2211yescharacteristic, complemented
145#16837277C2211yescharacteristic
146#16837276C2211yescharacteristic, complemented
147#16837276C2211yescharacteristic, complemented
148#16837275C2211yescharacteristic
149#16837275C2211yescharacteristic, complemented
150#16837275C2211yescharacteristic, complemented
151#16837274C2211yescharacteristic
152#16837274C2211yescharacteristic, complemented
153#16837274C2211yescharacteristic, complemented
154#16837273C2211yescharacteristic, complemented
155#16837273C2211yescharacteristic, complemented
156#16837260C2211yescharacteristic
157#16837260C2211yescharacteristic
158#16837260C2211yescharacteristic
159#16837260C2211yescharacteristic
160#16837260C2211yescharacteristic
161#16837260C2211yescharacteristic
162#16837260C2211yescharacteristic
163#16837260C2211yescharacteristic
164#16837260C2211yescharacteristic
165#16837260C2211yescharacteristic
166#16837260C2211yescharacteristic
167#16837260C2211yescharacteristic
168#16837260C2211yescharacteristic
169#16837260C2211yescharacteristic
170C2×C59⋊#95C2211yescharacteristic
171C2×C59⋊#95C2211yescharacteristic
172C2×#121×C59C2211yescharacteristic
173C2×#121×C59C2211yescharacteristic
174C2×#120×C59C2211yescharacteristic
175C2×#120×C59C2211yescharacteristic
176C2×C4×D4×C59C2211yescharacteristic
177C22×C22⋊C4×C59C2211yescharacteristic
178C59×#396C2211yescharacteristic
179C59×#394C2211yescharacteristic
180C59×#394C2211yescharacteristic
181C59×#392C2211yescharacteristic
182C59×#390C2211yescharacteristic
183C59×#388C2211yescharacteristic
184C59×#386C2211yescharacteristic
185C59×#386C2211yescharacteristic
186C59×#385C2211yescharacteristic
187C22×D236C2311yescharacteristic
188C22×C22⋊D59C2311yescharacteristic
189C22×C22⋊D59C2311yescharacteristic
190C22×C22⋊D59C2311yescharacteristic
191C22×C22⋊D59C2311yescharacteristic
192C22×C22⋊D59C2311yescharacteristic
193C22×C22⋊D59C2311yescharacteristic
194C22×C22⋊D59C2311yescharacteristic
195C22×C22⋊D59C2311yescharacteristic
196C22×C22⋊D59C2311yescharacteristic
197C22×C22⋊D59C2311yescharacteristic
198C23×Dic59—24no—
199C23×Dic59—42no—
200C23×Dic59—42no—
201C23×Dic59C2311yescharacteristic
202C23×Dic59C2311yescharacteristic
203C23×Dic59C2311yescharacteristic
204C23×Dic59C2311yescharacteristic
205C23×Dic59C2311yescharacteristic
206C23×Dic59C2311yescharacteristic
207C23×Dic59C2311yescharacteristic
208C23×Dic59C2311yescharacteristic
209C23×Dic59C2311yescharacteristic
210C22×C4×D59C2311yescharacteristic
211C22×C4×D59C2311yescharacteristic
212#14273712—42no—
213#14273710—42no—
214#14273709—42no—
215#14273708—42no—
216#14273701—42no—
217#14273700—42no—
218#14273699—24no—
219#14273699—24no—
220#14273699—42no—
221#14273699—42no—
222#14273699—42no—
223#14273699—42no—
224#14273699—42no—
225#14273699—42no—
226#14273699—42no—
227#14273698—42no—
228#14273696—42no—
229#14273696—42no—
230D4×Dic59—42no—
231C4×C22⋊D59—42no—
232(C22⋊D59)⋊C4—42no—
233C2×C4⋊Dic59C2311yescharacteristic
234C2×C4⋊Dic59C2311yescharacteristic
235C2×C4⋊Dic59C2311yescharacteristic
236C2×C4⋊Dic59C2311yescharacteristic
237C2×Dic59⋊C4—42no—
238C2×Dic59⋊C4—42no—
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×Dic59⋊C4C2311yescharacteristic
248C2×Dic59⋊C4C2311yescharacteristic
249C2×Dic59⋊C4C2311yescharacteristic
250C2×Dic59⋊C4C2311yescharacteristic
251C2×Dic59⋊C4C2311yescharacteristic
252C2×Dic59⋊C4C2311yescharacteristic
253C2×Dic59⋊C4C2311yescharacteristic
254C2×Dic59⋊C4C2311yescharacteristic
255C2×Dic59⋊C4C2311yescharacteristic
256C2×Dic59⋊C4C2311yescharacteristic
257C2×Dic59⋊C4C2311yescharacteristic
258C2×Dic59⋊C4C2311yescharacteristic
259C2×Dic59⋊C4C2311yescharacteristic
260C2×Dic59⋊C4C2311yescharacteristic
261C2×C22⋊Dic59—42no—
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×C22⋊Dic59C2311yescharacteristic
272C2×C22⋊Dic59C2311yescharacteristic
273C2×C22⋊Dic59C2311yescharacteristic
274C2×C22⋊Dic59C2311yescharacteristic
275C2×C22⋊Dic59C2311yescharacteristic
276C2×C22⋊Dic59C2311yescharacteristic
277C2×C22⋊Dic59C2311yescharacteristic
278C2×C22⋊Dic59C2311yescharacteristic
279C2×C22⋊Dic59C2311yescharacteristic
280C2×C22⋊Dic59C2311yescharacteristic
281C2×C22⋊Dic59C2311yescharacteristic
282C2×C22⋊Dic59C2311yescharacteristic
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×(C2×D59)⋊C4C2311yescharacteristic
297C2×(C2×D59)⋊C4C2311yescharacteristic
298C2×(C2×D59)⋊C4C2311yescharacteristic
299C2×C4×Dic59C2311yescharacteristic
300C2×C4×Dic59C2311yescharacteristic
301C2×C4×Dic59C2311yescharacteristic
302C59⋊#95C2311yescharacteristic
303C59⋊#95C2311yescharacteristic
304C59⋊#95C2311yescharacteristic
305C59⋊#95C2311yescharacteristic
306C59⋊#95C2311yescharacteristic
307C59⋊#95C2311yescharacteristic
308C59⋊#95C2311yescharacteristic
309C59⋊#95C2311yescharacteristic
310C59⋊#95C2311yescharacteristic
311C59⋊#95C2311yescharacteristic
312C59⋊#95C2311yescharacteristic
313C59⋊#95C2311yescharacteristic
314C59⋊#95C2311yescharacteristic
315C59⋊#95C2311yescharacteristic
316C59⋊#95C2311yescharacteristic
317C59⋊#95C2311yescharacteristic
318C59⋊#95C2311yescharacteristic
319C59⋊#95C2311yescharacteristic
320C59⋊#95C2311yescharacteristic
321C59⋊#95C2311yescharacteristic
322C59⋊#95C2311yescharacteristic
323C59⋊#95C2311yescharacteristic
324C59⋊#95C2311yescharacteristic
325C59⋊#95C2311yescharacteristic
326C59⋊#95C2311yescharacteristic
327C59⋊#95C2311yescharacteristic
328C59⋊#95C2311yescharacteristic
329C59⋊#95C2311yescharacteristic
330C59⋊#95C2311yescharacteristic
331C59⋊#95C2311yescharacteristic
332C59⋊#95C2311yescharacteristic
333C59⋊#95C2311yescharacteristic
334C25×C59C2311yescharacteristic
335C22×D4×C59C2311yescharacteristic
336C22×D4×C59C2311yescharacteristic
337C22×D4×C59C2311yescharacteristic
338C22×D4×C59C2311yescharacteristic
339C22×D4×C59C2311yescharacteristic
340C22×D4×C59C2311yescharacteristic
341C22×D4×C59C2311yescharacteristic
342C23×C4×C59C2311yescharacteristic
343C23×C4×C59C2311yescharacteristic
344C23×C4×C59C2311yescharacteristic
345#121×C59—42no—
346#121×C59—42no—
347#120×C59—42no—
348#120×C59—42no—
349C4×D4×C59—42no—
350C2×C4⋊C4×C59C2311yescharacteristic
351C2×C4⋊C4×C59C2311yescharacteristic
352C2×C4⋊C4×C59C2311yescharacteristic
353C2×C4⋊C4×C59C2311yescharacteristic
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
367C2×C22⋊C4×C59C2311yescharacteristic
368C2×C22⋊C4×C59C2311yescharacteristic
369C2×C22⋊C4×C59C2311yescharacteristic
370C2×C42×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—41no—
381C24×C59—41no—
382C24×C59C2411yescharacteristic
383C24×C59C2411yescharacteristic
384C24×C59C2411yescharacteristic
385C24×C59C2411yescharacteristic
386C24×C59C2411yescharacteristic
387C23×D59C2411yescharacteristic
388C23×D59C2411yescharacteristic
389C2×D4×C59—22no—
390C2×D4×C59—22no—
391C2×D4×C59—22no—
392C2×D4×C59—22no—
393C2×D4×C59—22no—
394C2×D4×C59—22no—
395C2×D4×C59—22no—
396C2×D4×C59—22no—
397C2×D4×C59—22no—
398C2×D4×C59—22no—
399C2×D4×C59—41no—
400C2×D4×C59—41no—
401C2×D4×C59—41no—
402C2×D4×C59—41no—
403C2×D4×C59—41no—
404C2×D4×C59—41no—
405C2×D4×C59—41no—
406C2×D4×C59—41no—
407C2×D4×C59—41no—
408C2×D4×C59—41no—
409C2×D4×C59—41no—
410C22×C4×C59—22no—
411C22×C4×C59—22no—
412C22×C4×C59—41no—
413C22×C4×C59—41no—
414C22×C4×C59—41no—
415C22×C4×C59—41no—
416C22×C4×C59—41no—
417C22×C4×C59—41no—
418C22×C4×C59—41no—
419C22×C4×C59C2411yescharacteristic
420C22×C4×C59C2411yescharacteristic
421C22×C4×C59C2411yescharacteristic
422C22×C4×C59C2411yescharacteristic
423C22×C4×C59C2411yescharacteristic
424C22×C4×C59C2411yescharacteristic
425C22×C4×C59C2411yescharacteristic
426C22×C4×C59C2411yescharacteristic
427C22×C4×C59C2411yescharacteristic
428C22×C4×C59C2411yescharacteristic
429C2×C22⋊D59—22no—
430C2×C22⋊D59—22no—
431C2×C22⋊D59—22no—
432C2×C22⋊D59—22no—
433C2×C22⋊D59—22no—
434C2×C22⋊D59—22no—
435C2×C22⋊D59—22no—
436C2×C22⋊D59—22no—
437C2×C22⋊D59—22no—
438C2×C22⋊D59—22no—
439C2×C22⋊D59—22no—
440C2×C22⋊D59—22no—
441C2×C22⋊D59—41no—
442C2×C22⋊D59—41no—
443C2×C22⋊D59—41no—
444C2×C22⋊D59—41no—
445C2×C22⋊D59—41no—
446C2×C22⋊D59—41no—
447C2×C22⋊D59—41no—
448C2×C22⋊D59—41no—
449C2×C22⋊D59—41no—
450C2×C22⋊D59—41no—
451C2×C22⋊D59—41no—
452C2×C22⋊D59—41no—
453C2×C22⋊D59—41no—
454C2×C22⋊D59—41no—
455C2×C22⋊D59—41no—
456C2×C22⋊D59—41no—
457C2×C22⋊D59—41no—
458C2×C22⋊D59—41no—
459C22×Dic59—22no—
460C22×Dic59—22no—
461C22×Dic59—22no—
462C22×Dic59—22no—
463C22×Dic59—22no—
464C22×Dic59—22no—
465C22×Dic59—22no—
466C22×Dic59—22no—
467C22×Dic59—22no—
468C22×Dic59—22no—
469C22×Dic59—22no—
470C22×Dic59—22no—
471C22×Dic59—22no—
472C22×Dic59—41no—
473C22×Dic59—41no—
474C22×Dic59—41no—
475C22×Dic59—41no—
476C22×Dic59—41no—
477C22×Dic59—41no—
478C22×Dic59—41no—
479C22×Dic59—41no—
480C22×Dic59—41no—
481C22×Dic59—41no—
482C22×Dic59—41no—
483C22×Dic59—41no—
484C22×Dic59—41no—
485C22×Dic59—416no—
486C22×Dic59#4114yes—
487C22×Dic59C2411yescharacteristic
488C22×Dic59C2411yescharacteristic
489C22×Dic59C2411yescharacteristic
490C22×Dic59C2411yescharacteristic
491C22×Dic59C2411yescharacteristic
492C22×Dic59C2411yescharacteristic
493C22×Dic59C2411yescharacteristic
494C22×Dic59C2411yescharacteristic
495C22×Dic59C2411yescharacteristic
496C22×Dic59C2411yescharacteristic
497C22×Dic59C2411yescharacteristic
498C22×Dic59C2411yescharacteristic
499C22×Dic59C2411yescharacteristic
500C22×Dic59C2411yescharacteristic
501C2×D236—41no—
502C2×D236—41no—
503C2×D236—41no—
504C2×C4×D59—41no—
505C2×C4×D59—41no—
506C2×C4×D59—41no—
507C2×C4×D59—41no—
508C2×C4×D59—41no—
509C2×C4×D59—41no—
510C4⋊C4×C59—41no—
511C4⋊C4×C59—41no—
512C4⋊C4×C59—41no—
513C4⋊C4×C59—41no—
514C22⋊C4×C59—22no—
515C22⋊C4×C59—22no—
516C22⋊C4×C59—22no—
517C22⋊C4×C59—22no—
518C22⋊C4×C59—41no—
519C22⋊C4×C59—41no—
520C22⋊C4×C59—41no—
521C22⋊C4×C59—41no—
522C22⋊C4×C59—41no—
523C22⋊C4×C59—41no—
524C22⋊C4×C59—41no—
525C22⋊C4×C59—41no—
526C22⋊C4×C59—41no—
527C22⋊C4×C59—41no—
528C22⋊C4×C59—41no—
529C42×C59—41no—
530C22⋊Dic59—22no—
531C22⋊Dic59—22no—
532C22⋊Dic59—22no—
533C22⋊Dic59—22no—
534C22⋊Dic59—22no—
535C22⋊Dic59—22no—
536C22⋊Dic59—22no—
537C22⋊Dic59—22no—
538C22⋊Dic59—22no—
539C22⋊Dic59—22no—
540C22⋊Dic59—41no—
541C22⋊Dic59—41no—
542C22⋊Dic59—41no—
543C22⋊Dic59—41no—
544C22⋊Dic59—41no—
545C22⋊Dic59—41no—
546C22⋊Dic59—41no—
547C22⋊Dic59—41no—
548C22⋊Dic59—41no—
549C22⋊Dic59—41no—
550C22⋊Dic59—41no—
551(C2×D59)⋊C4—22no—
552(C2×D59)⋊C4—22no—
553(C2×D59)⋊C4—22no—
554(C2×D59)⋊C4—22no—
555(C2×D59)⋊C4—22no—
556(C2×D59)⋊C4—22no—
557(C2×D59)⋊C4—41no—
558(C2×D59)⋊C4—41no—
559(C2×D59)⋊C4—41no—
560(C2×D59)⋊C4—41no—
561(C2×D59)⋊C4—41no—
562(C2×D59)⋊C4—41no—
563(C2×D59)⋊C4—41no—
564(C2×D59)⋊C4—41no—
565(C2×D59)⋊C4—41no—
566(C2×D59)⋊C4—41no—
567C4⋊Dic59—41no—
568C4⋊Dic59—41no—
569C4⋊Dic59—41no—
570C4⋊Dic59—41no—
571Dic59⋊C4—22no—
572Dic59⋊C4—22no—
573Dic59⋊C4—22no—
574Dic59⋊C4—22no—
575Dic59⋊C4—22no—
576Dic59⋊C4—22no—
577Dic59⋊C4—41no—
578Dic59⋊C4—41no—
579Dic59⋊C4—41no—
580Dic59⋊C4—41no—
581Dic59⋊C4—41no—
582Dic59⋊C4—41no—
583Dic59⋊C4—41no—
584Dic59⋊C4—41no—
585Dic59⋊C4—41no—
586Dic59⋊C4—41no—
587Dic59⋊C4—41no—
588Dic59⋊C4—41no—
589Dic59⋊C4—41no—
590Dic59⋊C4—41no—
591Dic59⋊C4—41no—
592Dic59⋊C4—41no—
593C4×Dic59—41no—
594C4×Dic59—41no—
595C4×Dic59—41no—
596C23×C59—21no—
597C23×C59—21no—
598C23×C59—21no—
599C23×C59—21no—
600C23×C59—28no—
601C23×C59—21no—
602C23×C59—21no—
603C23×C59—21no—
604C23×C59—21no—
605C23×C59—21no—
606C23×C59—21no—
607C23×C59—21no—
608C23×C59—21no—
609C23×C59—21no—
610C23×C59—21no—
611C23×C59—21no—
612C23×C59—21no—
613C23×C59—21no—
614C23×C59—21no—
615C23×C59—21no—
616C23×C59—21no—
617C23×C59—21no—
618C23×C59—21no—
619C23×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—44no—
628C23×C59—44no—
629C23×C59—44no—
630C23×C59—44no—
631C23×C59—44no—
632C23×C59—44no—
633C23×C59C2×#4112yes—
634C23×C59H(5,𝔽2)12yes—
635C23×C59H(5,𝔽2)12yes—
636C23×C59H(5,𝔽2)12yes—
637C23×C592−1+412yes—
638C23×C59C2511yescharacteristic
639C22×D59—21no—
640C22×D59—21no—
641C22×D59—21no—
642C22×D59—21no—
643C22×D59—21no—
644C22×D59—21no—
645C22×D59—21no—
646C22×D59—21no—
647C22×D59—21no—
648C22×D59—21no—
649C22×D59—21no—
650C22×D59—21no—
651C22×D59—21no—
652C22×D59—21no—
653D4×C59—44no—
654D4×C59—44no—
655D4×C59—82no—
656D4×C59—82no—
657D4×C59—82no—
658D4×C59—82no—
659D4×C59—82no—
660C2×C4×C59—21no—
661C2×C4×C59—21no—
662C2×C4×C59—21no—
663C2×C4×C59—21no—
664C2×C4×C59—21no—
665C2×C4×C59—21no—
666C2×C4×C59—21no—
667C2×C4×C59—21no—
668C2×C4×C59—21no—
669C2×C4×C59—21no—
670C2×C4×C59—21no—
671C2×C4×C59—21no—
672C2×C4×C59—21no—
673C2×C4×C59—21no—
674C2×C4×C59—21no—
675C2×C4×C59—21no—
676C2×C4×C59—21no—
677C2×C4×C59—21no—
678C2×C4×C59—21no—
679C2×C4×C59—21no—
680C2×C4×C59—21no—
681C2×C4×C59—21no—
682C2×C4×C59—21no—
683C2×C4×C59—21no—
684C2×C4×C59—21no—
685C2×C4×C59—21no—
686C2×C4×C59—21no—
687C2×C4×C59—21no—
688C2×C4×C59—21no—
689C2×C4×C59—21no—
690C2×C4×C59—82no—
691C2×C4×C59—82no—
692C2×C4×C59—82no—
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—
703C2×Dic59—28no—
704C2×Dic59—21no—
705C2×Dic59—21no—
706C2×Dic59—21no—
707C2×Dic59—21no—
708C2×Dic59—21no—
709C2×Dic59—21no—
710C2×Dic59—21no—
711C2×Dic59—21no—
712C2×Dic59—21no—
713C2×Dic59—21no—
714C2×Dic59—21no—
715C2×Dic59—21no—
716C2×Dic59—21no—
717C2×Dic59—21no—
718C2×Dic59—21no—
719C2×Dic59—21no—
720C2×Dic59—21no—
721C2×Dic59—21no—
722C2×Dic59—21no—
723C2×Dic59—21no—
724C2×Dic59—21no—
725C2×Dic59—21no—
726C2×Dic59—21no—
727C2×Dic59—21no—
728C2×Dic59—21no—
729C2×Dic59—21no—
730C2×Dic59—21no—
731C2×Dic59—21no—
732C2×Dic59—21no—
733C2×Dic59—21no—
734C2×Dic59—21no—
735C2×Dic59—21no—
736C2×Dic59—21no—
737C2×Dic59—21no—
738C2×Dic59—21no—
739C2×Dic59—21no—
740C2×Dic59—21no—
741C2×Dic59—21no—
742C2×Dic59—44no—
743C2×Dic59—44no—
744C2×Dic59—44no—
745C2×Dic59—44no—
746C2×Dic59—44no—
747C2×Dic59—82no—
748C2×Dic59—82no—
749C2×Dic59—82no—
750C2×Dic59C2×#4112yes—
751C2×Dic59C2×#4112yes—
752C2×Dic59H(5,𝔽2)12yes—
753C2×Dic59H(5,𝔽2)12yes—
754D236—82no—
755C4×D59—82no—
756C4×D59—82no—
757#36727—591nomaximal, Sylow
758C22×C59—22no—
759C22×C59—22no—
760C22×C59—22no—
761C22×C59—22no—
762C22×C59—22no—
763C22×C59—22no—
764C22×C59—22no—
765C22×C59—22no—
766C22×C59—22no—
767C22×C59—22no—
768C22×C59—22no—
769C22×C59—22no—
770C22×C59—416no—
771C22×C59—41no—
772C22×C59—41no—
773C22×C59—41no—
774C22×C59—41no—
775C22×C59—41no—
776C22×C59—41no—
777C22×C59—41no—
778C22×C59—41no—
779C22×C59—41no—
780C22×C59—41no—
781C22×C59—41no—
782C22×C59—41no—
783C22×C59—41no—
784C22×C59—41no—
785C22×C59—41no—
786C22×C59—41no—
787C22×C59—41no—
788C22×C59—41no—
789C22×C59—41no—
790C22×C59—41no—
791C22×C59—41no—
792C22×C59—41no—
793C22×C59#54014yes—
794C22×C59C22×#4111yescharacteristic
795C22×C59C2×H(5,𝔽2)11yescharacteristic
796C22×C59C2×H(5,𝔽2)11yescharacteristic
797C22×C59C2×H(5,𝔽2)11yescharacteristic
798C22×C59C2×H(5,𝔽2)11yescharacteristic
799C22×C59C2×H(5,𝔽2)11yescharacteristic
800C22×C59C2×2−1+411yescharacteristic
801C2×D59—41no—
802C2×D59—41no—
803C2×D59—41no—
804C2×D59—41no—
805C2×D59—41no—
806C2×D59—41no—
807C2×D59—41no—
808C2×D59—41no—
809C2×D59—41no—
810C2×D59—41no—
811C2×D59—41no—
812C2×D59—41no—
813C2×D59—41no—
814C2×D59—41no—
815C4×C59—41no—
816C4×C59—41no—
817C4×C59—41no—
818C4×C59—41no—
819C4×C59—41no—
820C4×C59—41no—
821C4×C59—41no—
822C4×C59—41no—
823C4×C59—41no—
824C4×C59—41no—
825Dic59—22no—
826Dic59—22no—
827Dic59—22no—
828Dic59—22no—
829Dic59—41no—
830Dic59—41no—
831Dic59—41no—
832Dic59—41no—
833Dic59—41no—
834Dic59—41no—
835Dic59—41no—
836Dic59—41no—
837Dic59—41no—
838Dic59—41no—
839#2847—591no—
840#2847—591no—
841#2748—591no—
842#2748—591no—
843#2748—591no—
844#2748—591no—
845#2741—591no—
846#2741—591no—
847#2741—591no—
848#2741—591no—
849#2703—591no—
850#2703—591no—
851#2703—591no—
852#2703—591no—
853#2671—591no—
854#2671—591no—
855#2671—591no—
856#2671—591no—
857#2656—591no—
858#2646—591no—
859#2443—591no—
860#2443—591no—
861#2443—591no—
862#2443—591no—
863#2424—591no—
864#2424—591no—
865#2424—591no—
866#2424D5911yescharacteristic, complemented
867#2325—591no—
868#2325—591no—
869C2×#380—591no—
870C2×C59—24no—
871C2×C59—42no—
872C2×C59—42no—
873C2×C59—81no—
874C2×C59—81no—
875C2×C59C2×#54011yescharacteristic
876C2×C59#349011yescharacteristic
877C2×C59#349211yescharacteristic
878C2×C59#353611yescharacteristic
879C2×C59#353611yescharacteristic
880C2×C59#353711yescharacteristic
881C2×C59#353711yescharacteristic
882D59—81no—
883D59—81no—
884C24×C4—591no—
885C2×#123—591no—
886C2×#123—591no—
887C2×#123—591no—
888C2×#123—591no—
889C2×#121—591no—
890C2×#121—591no—
891C2×#121—591no—
892C2×#121—591no—
893C2×#121—591no—
894C2×#121—591no—
895C2×#121—591no—
896C2×#121—591no—
897C2×#121—591no—
898C2×#121—591no—
899C2×#121—591no—
900C2×#121—591no—
901C2×#121C2×D5911yescharacteristic
902C2×#121C2×D5911yescharacteristic
903C2×#120—591no—
904C2×#120—591no—
905C2×#120C2×D5911yescharacteristic
906C2×#120C2×D5911yescharacteristic
907C2×C4×D4—591no—
908C2×C4×D4—591no—
909C2×C4×D4—591no—
910C2×C4×D4C2×D5911yescharacteristic
911C22×C4⋊C4—591no—
912C22×C4⋊C4—591no—
913C22×C22⋊C4—591no—
914C22×C22⋊C4C2×D5911yescharacteristic
915#400—591no—
916#400—591no—
917#400—591no—
918#400—591no—
919#399—591no—
920#399—591no—
921#399—591no—
922#399—591no—
923#399—591no—
924#399—591no—
925#399—591no—
926#399—591no—
927#398—591no—
928#398—591no—
929#398—591no—
930#398—591no—
931#398—591no—
932#398—591no—
933#398—591no—
934#398—591no—
935#397—591no—
936#397—591no—
937#397—591no—
938#397—591no—
939#396—591no—
940#396—591no—
941#396—591no—
942#396C2×D5911yescharacteristic
943#394—591no—
944#394—591no—
945#394—591no—
946#394—591no—
947#394—591no—
948#394—591no—
949#394—591no—
950#394—591no—
951#394—591no—
952#394—591no—
953#394C2×D5911yescharacteristic
954#394C2×D5911yescharacteristic
955#392—591no—
956#392—591no—
957#392—591no—
958#392—591no—
959#392—591no—
960#392—591no—
961#392—591no—
962#392C2×D5911yescharacteristic
963#390—591no—
964#390—591no—
965#390—591no—
966#390C2×D5911yescharacteristic
967#388—591no—
968#388—591no—
969#388—591no—
970#388—591no—
971#388—591no—
972#388—591no—
973#388—591no—
974#388—591no—
975#388—591no—
976#388—591no—
977#388—591no—
978#388C2×D5911yescharacteristic
979#387—591no—
980#387—591no—
981#387—591no—
982#387—591no—
983#387—591no—
984#387—591no—
985#387—591no—
986#387—591no—
987#386—591no—
988#386—591no—
989#386—591no—
990#386—591no—
991#386—591no—
992#386—591no—
993#386—591no—
994#386—591no—
995#386—591no—
996#386—591no—
997#386—591no—
998#386—591no—
999#386—591no—
1000#386—591no—
1001#386—591no—
1002#386—591no—
1003#386—591no—
1004#386—591no—
1005#386—591no—
1006#386—591no—
1007#386—591no—
1008#386—591no—
1009#386C2×D5911yescharacteristic
1010#386C2×D5911yescharacteristic
1011#385—591no—
1012#385—591no—
1013#385—591no—
1014#385—591no—
1015#385—591no—
1016#385—591no—
1017#385—591no—
1018#385—591no—
1019#385—591no—
1020#385—591no—
1021#385—591no—
1022#385C2×D5911yescharacteristic
1023#380—591no—
1024#380—591no—
1025#380—591no—
1026#380—591no—
1027#380—591no—
1028#380—591no—
1029#380—591no—
1030#380—591no—
1031#380—591no—
1032#380—591no—
1033#380—591no—
1034#380—591no—
1035#380—591no—
1036#380—591no—
1037C2×#95—591no—
1038C2×#95—591no—
1039C59#3672711yescharacteristic, complemented, Sylow
1040C25C22×D5911yescharacteristic
1041C22×D4—591no—
1042C22×D4—591no—
1043C22×D4—591no—
1044C22×D4—591no—
1045C22×D4—591no—
1046C22×D4—591no—
1047C22×D4—591no—
1048C22×D4—591no—
1049C22×D4—591no—
1050C22×D4—591no—
1051C22×D4—591no—
1052C22×D4C22×D5911yescharacteristic
1053C22×D4C22×D5911yescharacteristic
1054C22×D4C22×D5911yescharacteristic
1055C22×D4C22×D5911yescharacteristic
1056C22×D4C22×D5911yescharacteristic
1057C22×D4C22×D5911yescharacteristic
1058C22×D4C22×D5911yescharacteristic
1059C23×C4—591no—
1060C23×C4—591no—
1061C23×C4—591no—
1062C23×C4—591no—
1063C23×C4—591no—
1064C23×C4—591no—
1065C23×C4—591no—
1066C23×C4—591no—
1067C23×C4—591no—
1068C23×C4—591no—
1069C23×C4—591no—
1070C23×C4—1184no—
1071C23×C4—2362no—
1072C23×C4—2362no—
1073C23×C4C22×D5911yescharacteristic
1074C23×C4C22×D5911yescharacteristic
1075C23×C4C22×D5911yescharacteristic
1076#123—2362no—
1077#123—2362no—
1078#123—2362no—
1079#123—2362no—
1080#121—42no—
1081#121—42no—
1082#121—1184no—
1083#121—1184no—
1084#121—2362no—
1085#121—2362no—
1086#121—2362no—
1087#121—2362no—
1088#121—2362no—
1089#121—2362no—
1090#121—2362no—
1091#121—2362no—
1092#121—2362no—
1093#121—2362no—
1094#120—42no—
1095#120—42no—
1096#120—2362no—
1097#120—2362no—
1098C4×D4—42no—
1099C4×D4—2362no—
1100C4×D4—2362no—
1101C4×D4—2362no—
1102C2×C4⋊C4—591no—
1103C2×C4⋊C4—591no—
1104C2×C4⋊C4—591no—
1105C2×C4⋊C4—591no—
1106C2×C4⋊C4—591no—
1107C2×C4⋊C4—591no—
1108C2×C4⋊C4—591no—
1109C2×C4⋊C4—591no—
1110C2×C4⋊C4—591no—
1111C2×C4⋊C4—591no—
1112C2×C4⋊C4—591no—
1113C2×C4⋊C4—591no—
1114C2×C4⋊C4—591no—
1115C2×C4⋊C4—591no—
1116C2×C4⋊C4—591no—
1117C2×C4⋊C4—591no—
1118C2×C4⋊C4—591no—
1119C2×C4⋊C4—591no—
1120C2×C4⋊C4—591no—
1121C2×C4⋊C4—591no—
1122C2×C4⋊C4—591no—
1123C2×C4⋊C4—591no—
1124C2×C4⋊C4—591no—
1125C2×C4⋊C4—591no—
1126C2×C4⋊C4—591no—
1127C2×C4⋊C4—591no—
1128C2×C4⋊C4—2362no—
1129C2×C4⋊C4—2362no—
1130C2×C4⋊C4C22×D5911yescharacteristic
1131C2×C4⋊C4C22×D5911yescharacteristic
1132C2×C4⋊C4C22×D5911yescharacteristic
1133C2×C4⋊C4C22×D5911yescharacteristic
1134C2×C22⋊C4—42no—
1135C2×C22⋊C4—591no—
1136C2×C22⋊C4—591no—
1137C2×C22⋊C4—591no—
1138C2×C22⋊C4—591no—
1139C2×C22⋊C4—591no—
1140C2×C22⋊C4—591no—
1141C2×C22⋊C4—591no—
1142C2×C22⋊C4—591no—
1143C2×C22⋊C4—591no—
1144C2×C22⋊C4—591no—
1145C2×C22⋊C4—591no—
1146C2×C22⋊C4—591no—
1147C2×C22⋊C4—591no—
1148C2×C22⋊C4—591no—
1149C2×C22⋊C4—591no—
1150C2×C22⋊C4—591no—
1151C2×C22⋊C4—591no—
1152C2×C22⋊C4—591no—
1153C2×C22⋊C4—591no—
1154C2×C22⋊C4—591no—
1155C2×C22⋊C4—591no—
1156C2×C22⋊C4—591no—
1157C2×C22⋊C4—591no—
1158C2×C22⋊C4—591no—
1159C2×C22⋊C4—591no—
1160C2×C22⋊C4—591no—
1161C2×C22⋊C4—591no—
1162C2×C22⋊C4—591no—
1163C2×C22⋊C4—591no—
1164C2×C22⋊C4—591no—
1165C2×C22⋊C4—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—2362no—
1173C2×C22⋊C4C22×D5911yescharacteristic
1174C2×C22⋊C4C22×D5911yescharacteristic
1175C2×C22⋊C4C22×D5911yescharacteristic
1176C2×C22⋊C4C22×D5911yescharacteristic
1177C2×C22⋊C4C22×D5911yescharacteristic
1178C2×C22⋊C4C22×D5911yescharacteristic
1179C2×C22⋊C4C22×D5911yescharacteristic
1180C2×C22⋊C4C22×D5911yescharacteristic
1181C2×C22⋊C4C22×D5911yescharacteristic
1182C2×C22⋊C4C22×D5911yescharacteristic
1183C2×C22⋊C4C22×D5911yescharacteristic
1184C2×C22⋊C4C22×D5911yescharacteristic
1185C2×C22⋊C4C22×D5911yescharacteristic
1186C2×C22⋊C4C22×D5911yescharacteristic
1187C2×C22⋊C4C22×D5911yescharacteristic
1188C2×C42—591no—
1189C2×C42—591no—
1190C2×C42—591no—
1191C2×C42C22×D5911yescharacteristic
1192#95—591no—
1193#95—591no—
1194#95—591no—
1195#95—591no—
1196#95—591no—
1197#95—591no—
1198#95—591no—
1199#95—591no—
1200#95—591no—
1201#95—591no—
1202#95—591no—
1203#95—591no—
1204#95—591no—
1205#95—591no—
1206#95—591no—
1207#95—591no—
1208#95—591no—
1209#95—591no—
1210#95—591no—
1211#95—591no—
1212#95—591no—
1213#95—591no—
1214#95—591no—
1215#95—591no—
1216#95—591no—
1217#95—591no—
1218#95—591no—
1219#95—591no—
1220#95—591no—
1221#95—591no—
1222#95—591no—
1223#95—591no—
1224#95C22×D5911yescharacteristic
1225#95C22×D5911yescharacteristic
1226#95C22×D5911yescharacteristic
1227#95C22×D5911yescharacteristic
1228C24—22no—
1229C24—22no—
1230C24—22no—
1231C24—22no—
1232C24—22no—
1233C24—41no—
1234C24—41no—
1235C24—591no—
1236C24—591no—
1237C24C23×D5911yescharacteristic
1238C24C23×D5911yescharacteristic
1239C24C23×D5911yescharacteristic
1240C24C23×D5911yescharacteristic
1241C24C23×D5911yescharacteristic
1242C2×D4—22no—
1243C2×D4—22no—
1244C2×D4—22no—
1245C2×D4—22no—
1246C2×D4—22no—
1247C2×D4—22no—
1248C2×D4—22no—
1249C2×D4—22no—
1250C2×D4—22no—
1251C2×D4—22no—
1252C2×D4—41no—
1253C2×D4—41no—
1254C2×D4—41no—
1255C2×D4—41no—
1256C2×D4—41no—
1257C2×D4—41no—
1258C2×D4—41no—
1259C2×D4—41no—
1260C2×D4—41no—
1261C2×D4—41no—
1262C2×D4—41no—
1263C2×D4—1182no—
1264C2×D4—1182no—
1265C2×D4—1182no—
1266C2×D4—1182no—
1267C2×D4—1182no—
1268C2×D4—1182no—
1269C2×D4—1182no—
1270C2×D4—1182no—
1271C2×D4—1182no—
1272C2×D4—1182no—
1273C2×D4—1182no—
1274C2×D4—1182no—
1275C2×D4—2361no—
1276C2×D4—2361no—
1277C2×D4—2361no—
1278C2×D4—2361no—
1279C2×D4—2361no—
1280C2×D4—2361no—
1281C2×D4—2361no—
1282C2×D4—2361no—
1283C2×D4—2361no—
1284C2×D4—2361no—
1285C2×D4—2361no—
1286C2×D4—2361no—
1287C2×D4—2361no—
1288C2×D4—2361no—
1289C2×D4—2361no—
1290C2×D4—2361no—
1291C2×D4—2361no—
1292C2×D4—2361no—
1293C2×D4—2361no—
1294C2×D4—2361no—
1295C2×D4—2361no—
1296C22×C4—22no—
1297C22×C4—22no—
1298C22×C4—41no—
1299C22×C4—41no—
1300C22×C4—41no—
1301C22×C4—41no—
1302C22×C4—41no—
1303C22×C4—41no—
1304C22×C4—41no—
1305C22×C4—591no—
1306C22×C4—591no—
1307C22×C4—591no—
1308C22×C4—591no—
1309C22×C4—594no—
1310C22×C4—591no—
1311C22×C4—591no—
1312C22×C4—591no—
1313C22×C4—591no—
1314C22×C4—591no—
1315C22×C4—591no—
1316C22×C4—591no—
1317C22×C4—591no—
1318C22×C4—591no—
1319C22×C4—591no—
1320C22×C4—1182no—
1321C22×C4—1182no—
1322C22×C4—1182no—
1323C22×C4—1182no—
1324C22×C4—1182no—
1325C22×C4—1182no—
1326C22×C4—1182no—
1327C22×C4—1182no—
1328C22×C4—1182no—
1329C22×C4—1182no—
1330C22×C4—1182no—
1331C22×C4—1182no—
1332C22×C4—1182no—
1333C22×C4—2361no—
1334C22×C4—2361no—
1335C22×C4—2361no—
1336C22×C4—2361no—
1337C22×C4—2361no—
1338C22×C4—2361no—
1339C22×C4—2361no—
1340C22×C4—2361no—
1341C22×C4—2361no—
1342C22×C4—2361no—
1343C22×C4—2361no—
1344C22×C4—2361no—
1345C22×C4—2361no—
1346C22×C4—2361no—
1347C22×C4—2361no—
1348C22×C4—2361no—
1349C22×C4—2361no—
1350C22×C4—2361no—
1351C22×C4—2361no—
1352C22×C4—23616no—
1353C22×C4C23×D5911yescharacteristic
1354C22×C4C23×D5911yescharacteristic
1355C22×C4C23×D5911yescharacteristic
1356C22×C4C23×D5911yescharacteristic
1357C22×C4C23×D5911yescharacteristic
1358C22×C4C23×D5911yescharacteristic
1359C22×C4C23×D5911yescharacteristic
1360C22×C4C23×D5911yescharacteristic
1361C22×C4C23×D5911yescharacteristic
1362C22×C4C23×D5911yescharacteristic
1363C4⋊C4—41no—
1364C4⋊C4—41no—
1365C4⋊C4—41no—
1366C4⋊C4—41no—
1367C4⋊C4—1182no—
1368C4⋊C4—1182no—
1369C4⋊C4—1182no—
1370C4⋊C4—1182no—
1371C4⋊C4—1182no—
1372C4⋊C4—1182no—
1373C4⋊C4—2361no—
1374C4⋊C4—2361no—
1375C4⋊C4—2361no—
1376C4⋊C4—2361no—
1377C4⋊C4—2361no—
1378C4⋊C4—2361no—
1379C4⋊C4—2361no—
1380C4⋊C4—2361no—
1381C4⋊C4—2361no—
1382C4⋊C4—2361no—
1383C4⋊C4—2361no—
1384C4⋊C4—2361no—
1385C4⋊C4—2361no—
1386C4⋊C4—2361no—
1387C4⋊C4—2361no—
1388C4⋊C4—2361no—
1389C4⋊C4—2361no—
1390C4⋊C4—2361no—
1391C4⋊C4—2361no—
1392C4⋊C4—2361no—
1393C22⋊C4—22no—
1394C22⋊C4—22no—
1395C22⋊C4—22no—
1396C22⋊C4—22no—
1397C22⋊C4—41no—
1398C22⋊C4—41no—
1399C22⋊C4—41no—
1400C22⋊C4—41no—
1401C22⋊C4—41no—
1402C22⋊C4—41no—
1403C22⋊C4—41no—
1404C22⋊C4—41no—
1405C22⋊C4—41no—
1406C22⋊C4—41no—
1407C22⋊C4—41no—
1408C22⋊C4—1182no—
1409C22⋊C4—1182no—
1410C22⋊C4—1182no—
1411C22⋊C4—1182no—
1412C22⋊C4—1182no—
1413C22⋊C4—1182no—
1414C22⋊C4—1182no—
1415C22⋊C4—1182no—
1416C22⋊C4—1182no—
1417C22⋊C4—1182no—
1418C22⋊C4—1182no—
1419C22⋊C4—1182no—
1420C22⋊C4—1182no—
1421C22⋊C4—1182no—
1422C22⋊C4—1182no—
1423C22⋊C4—1182no—
1424C22⋊C4—2361no—
1425C22⋊C4—2361no—
1426C22⋊C4—2361no—
1427C22⋊C4—2361no—
1428C22⋊C4—2361no—
1429C22⋊C4—2361no—
1430C22⋊C4—2361no—
1431C22⋊C4—2361no—
1432C22⋊C4—2361no—
1433C22⋊C4—2361no—
1434C22⋊C4—2361no—
1435C22⋊C4—2361no—
1436C22⋊C4—2361no—
1437C22⋊C4—2361no—
1438C22⋊C4—2361no—
1439C22⋊C4—2361no—
1440C22⋊C4—2361no—
1441C22⋊C4—2361no—
1442C22⋊C4—2361no—
1443C22⋊C4—2361no—
1444C22⋊C4—2361no—
1445C42—41no—
1446C42—2361no—
1447C42—2361no—
1448C42—2361no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—28no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—44no—
1481C23—44no—
1482C23—44no—
1483C23—44no—
1484C23—44no—
1485C23—44no—
1486C23—1181no—
1487C23—1181no—
1488C23—1181no—
1489C23—1181no—
1490C23—1181no—
1491C23—1181no—
1492C23—1181no—
1493C23—1181no—
1494C23—1181no—
1495C23—1181no—
1496C23—1181no—
1497C23—1181no—
1498C23—1181no—
1499C23—1181no—
1500C23#41×D5912yes—
1501C23#1427377212yes—
1502C23#1427377212yes—
1503C23#1427377212yes—
1504C23#1427377412yes—
1505C23C24×D5911yescharacteristic
1506D4—44no—
1507D4—44no—
1508D4—82no—
1509D4—82no—
1510D4—82no—
1511D4—82no—
1512D4—82no—
1513D4—4722no—
1514D4—4722no—
1515D4—4722no—
1516D4—4722no—
1517D4—4722no—
1518D4—4722no—
1519D4—4722no—
1520D4—4722no—
1521D4—4722no—
1522D4—2364no—
1523D4—2364no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—82no—
1555C2×C4—82no—
1556C2×C4—82no—
1557C2×C4—592no—
1558C2×C4—592no—
1559C2×C4—592no—
1560C2×C4—592no—
1561C2×C4—1188no—
1562C2×C4—1181no—
1563C2×C4—1181no—
1564C2×C4—1181no—
1565C2×C4—1181no—
1566C2×C4—1181no—
1567C2×C4—1181no—
1568C2×C4—1181no—
1569C2×C4—1181no—
1570C2×C4—1181no—
1571C2×C4—1181no—
1572C2×C4—1181no—
1573C2×C4—1181no—
1574C2×C4—1181no—
1575C2×C4—1181no—
1576C2×C4—1181no—
1577C2×C4—1181no—
1578C2×C4—1181no—
1579C2×C4—1181no—
1580C2×C4—1181no—
1581C2×C4—1181no—
1582C2×C4—1181no—
1583C2×C4—1181no—
1584C2×C4—1181no—
1585C2×C4—1181no—
1586C2×C4—1181no—
1587C2×C4—1181no—
1588C2×C4—1181no—
1589C2×C4—1181no—
1590C2×C4—1181no—
1591C2×C4—1181no—
1592C2×C4—1181no—
1593C2×C4—1181no—
1594C2×C4—1181no—
1595C2×C4—1181no—
1596C2×C4—1181no—
1597C2×C4—1181no—
1598C2×C4—1181no—
1599C2×C4—1181no—
1600C2×C4—4722no—
1601C2×C4—4722no—
1602C2×C4—4722no—
1603C2×C4—4722no—
1604C2×C4—4722no—
1605C2×C4—2364no—
1606C2×C4—2364no—
1607C2×C4—2364no—
1608C2×C4—2364no—
1609C2×C4—2364no—
1610C22—22no—
1611C22—22no—
1612C22—22no—
1613C22—22no—
1614C22—22no—
1615C22—22no—
1616C22—22no—
1617C22—22no—
1618C22—22no—
1619C22—22no—
1620C22—22no—
1621C22—22no—
1622C22—416no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—41no—
1633C22—41no—
1634C22—41no—
1635C22—41no—
1636C22—41no—
1637C22—41no—
1638C22—41no—
1639C22—41no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—2361no—
1646C22—2361no—
1647C22—2361no—
1648C22—2361no—
1649C22—2361no—
1650C22—2361no—
1651C22—2361no—
1652C22—2361no—
1653C22—2361no—
1654C22—2361no—
1655C22—2361no—
1656C22—2361no—
1657C22—2361no—
1658C22—2361no—
1659C22#1683800214yes—
1660C22C2×#41×D5911yescharacteristic
1661C22H(5,𝔽2)×D5911yescharacteristic
1662C22H(5,𝔽2)×D5911yescharacteristic
1663C22C2×#1427377211yescharacteristic
1664C22C2×#1427377211yescharacteristic
1665C22C2×#1427377211yescharacteristic
1666C22C2×#1427377411yescharacteristic
1667C4—41no—
1668C4—41no—
1669C4—41no—
1670C4—41no—
1671C4—41no—
1672C4—41no—
1673C4—41no—
1674C4—41no—
1675C4—41no—
1676C4—41no—
1677C4—1182no—
1678C4—1182no—
1679C4—1182no—
1680C4—1182no—
1681C4—2361no—
1682C4—2361no—
1683C4—2361no—
1684C4—2361no—
1685C4—2361no—
1686C4—2361no—
1687C4—2361no—
1688C4—2361no—
1689C4—2361no—
1690C4—2361no—
1691C2—24no—
1692C2—42no—
1693C2—42no—
1694C2—81no—
1695C2—81no—
1696C2—4721no—
1697C2—4721no—
1698C2C2×#1683800211yescharacteristic
1699C2#2143778211yescharacteristic
1700C2#2143779711yescharacteristic
1701C2#2143831111yescharacteristic
1702C2#2143831111yescharacteristic
1703C2#2143832611yescharacteristic
1704C2#2143832611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2424C2
hypercenter#2424D59
hypocenterC59#36727
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2424

Complements

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

NH ≅ G/Ntype
1. #21432376C2semidirect
2. #21432376C2semidirect
3. #21431309C2semidirect
4. #21431307C2semidirect
5. #21431303C2semidirect
6. #21431303C2semidirect
7. #21431216C2semidirect
8. #21431212C2semidirect
9. #21431208C2semidirect
10. #21431204C2semidirect
11. #21430744C2semidirect
12. #21430740C2semidirect
13. #21430736C2semidirect
14. #21430732C2semidirect
15. #21430331C2semidirect
16. #21430328C2semidirect
17. #21430326C2semidirect
18. #21430325C2semidirect
19. #21430200C2semidirect
20. #21430068C2semidirect
21. #21427835C2semidirect
22. #21427833C2semidirect
23. #21427827C2semidirect
24. #21427825C2semidirect
25. #21427636C2semidirect
26. #21427632C2semidirect
27. #21427628C2semidirect
28. #21426797C2semidirect
29. #21426794C2semidirect
30. C2×#16837260C2semidirect
31. C59×#2424C2semidirect
33. C2×#14273712C22semidirect
34. C2×#14273710C22semidirect
35. C2×#14273709C22semidirect
36. C2×#14273708C22semidirect
57. #16837343C22semidirect
58. #16837343C22semidirect
59. #16837342C22semidirect
60. #16837340C22semidirect
61. #16837338C22semidirect
62. #16837338C22semidirect
63. #16837338C22semidirect
64. #16837338C22semidirect
65. #16837337C22semidirect
66. #16837337C22semidirect
67. #16837337C22semidirect
68. #16837337C22semidirect
69. #16837336C22semidirect
70. #16837336C22semidirect
71. #16837335C22semidirect
72. #16837335C22semidirect
73. #16837333C22semidirect
74. #16837333C22semidirect
75. #16837332C22semidirect
76. #16837332C22semidirect
77. #16837331C22semidirect
78. #16837331C22semidirect
79. #16837330C22semidirect
80. #16837330C22semidirect
84. #16837320C22semidirect
89. #16837317C22semidirect
90. #16837317C22semidirect
93. #16837316C22semidirect
95. #16837311C22semidirect
96. #16837311C22semidirect
99. #16837310C22semidirect
100. #16837310C22semidirect
105. #16837296C22semidirect
106. #16837296C22semidirect
108. #16837293C22semidirect
109. #16837293C22semidirect
110. #16837291C22semidirect
111. #16837291C22semidirect
113. #16837290C22semidirect
114. #16837290C22semidirect
115. #16837289C22semidirect
116. #16837289C22semidirect
117. #16837286C22semidirect
118. #16837286C22semidirect
119. #16837284C22semidirect
120. #16837284C22semidirect
121. #16837283C22semidirect
122. #16837283C22semidirect
132. #16837281C22semidirect
140. #16837279C22semidirect
143. #16837278C22semidirect
144. #16837278C22semidirect
146. #16837276C22semidirect
147. #16837276C22semidirect
149. #16837275C22semidirect
150. #16837275C22semidirect
152. #16837274C22semidirect
153. #16837274C22semidirect
154. #16837273C22semidirect
155. #16837273C22semidirect
866. #2424D59semidirect
1039. C59#36727semidirect

Maximal subgroups

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

subgroupindex
#214323762
#214313092
#214313072
#214313032
#214312162
#214312122
#214312082
#214312042
#214307442
#214307402
#214307362
#214307322
#214303312
#214303282
#214303262
#214303252
#214302002
#214300682
#214278352
#214278332
#214278272
#214278252
#214276362
#214276322
#214276282
#214267972
#214267942
C2×#168372602
C59×#24242
#3672759