Finite Group Databasebeta

← #28796556

Subgroups — #28796556

Order 15104.

2210 conjugacy classes of subgroups.

The subgroup lattice has 1686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21432382C211yesmaximal, characteristic, complemented
2#21432375C211yesmaximal, characteristic, complemented
3#21431950C211yesmaximal, characteristic, complemented
4#21431758C211yesmaximal, characteristic, complemented
5#21431727C211yesmaximal, characteristic, complemented
6#21431719C211yesmaximal, characteristic, complemented
7#21431717C211yesmaximal, characteristic, complemented
8#21431423C211yesmaximal, characteristic, complemented
9#21431372C211yesmaximal, characteristic, complemented
10#21431323C211yesmaximal, characteristic, complemented
11#21431209C211yesmaximal, characteristic, complemented
12#21431099C211yesmaximal, characteristic, complemented
13#21430899C211yesmaximal, characteristic, complemented
14#21430746C211yesmaximal, characteristic, complemented
15#21430730C211yesmaximal, characteristic, complemented
16#21430641C211yesmaximal, characteristic, complemented
17#21430528C211yesmaximal, characteristic, complemented
18#21430391C211yesmaximal, characteristic, complemented
19#21429810C211yesmaximal, characteristic, complemented
20#21429810C211yesmaximal, characteristic, complemented
21#21428479C211yesmaximal, characteristic, complemented
22#21428424C211yesmaximal, characteristic, complemented
23#21428336C211yesmaximal, characteristic, complemented
24#21428221C211yesmaximal, characteristic, complemented
25#21427653C211yesmaximal, characteristic, complemented
26#21427567C211yesmaximal, characteristic, complemented
27#21427554C211yesmaximal, characteristic, complemented
28#21426759C211yesmaximal, characteristic, complemented
29#21426750C211yesmaximal, characteristic, complemented
30C2×#16837278C211yesmaximal, characteristic, complemented
31C59×#2424C211yesmaximal, characteristic, complemented
32C23×C22⋊D59C2211yescharacteristic
33C23×C4×D59C2211yescharacteristic
34C2×#14273720C2211yescharacteristic, complemented
35C2×#14273714C2211yescharacteristic, complemented
36C2×#14273708C2211yescharacteristic
37C2×#14273708C2211yescharacteristic
38C2×#14273708C2211yescharacteristic, complemented
39C2×#14273705C2211yescharacteristic, complemented
40C2×#14273705C2211yescharacteristic, complemented
41C2×#14273704C2211yescharacteristic
42C2×#14273698C2211yescharacteristic, complemented
43C2×#14273698C2211yescharacteristic, complemented
44C2×#14273695C2211yescharacteristic
45C2×#14273695C2211yescharacteristic
46C2×D4×Dic59C2211yescharacteristic
47C22×C22⋊Dic59C2211yescharacteristic
48C22×(C2×D59)⋊C4C2211yescharacteristic
49C59⋊#401C2211yescharacteristic, complemented
50#16837344C2211yescharacteristic, complemented
51#16837344C2211yescharacteristic, complemented
52#16837343C2211yescharacteristic, complemented
53#16837341C2211yescharacteristic, complemented
54#16837340C2211yescharacteristic, complemented
55#16837340C2211yescharacteristic, complemented
56#16837338C2211yescharacteristic, complemented
57#16837335C2211yescharacteristic, complemented
58#16837333C2211yescharacteristic, complemented
59#16837330C2211yescharacteristic, complemented
60#16837330C2211yescharacteristic, complemented
61#16837330C2211yescharacteristic, complemented
62#16837330C2211yescharacteristic, complemented
63#16837330C2211yescharacteristic, complemented
64#16837330C2211yescharacteristic, complemented
65#16837327C2211yescharacteristic, complemented
66#16837327C2211yescharacteristic, complemented
67#16837327C2211yescharacteristic, complemented
68#16837325C2211yescharacteristic, complemented
69#16837325C2211yescharacteristic, complemented
70#16837317C2211yescharacteristic
71#16837317C2211yescharacteristic
72#16837317C2211yescharacteristic
73#16837317C2211yescharacteristic
74#16837317C2211yescharacteristic
75#16837317C2211yescharacteristic
76#16837317C2211yescharacteristic
77#16837317C2211yescharacteristic
78#16837316C2211yescharacteristic, complemented
79#16837316C2211yescharacteristic, complemented
80#16837316C2211yescharacteristic, complemented
81#16837316C2211yescharacteristic, complemented
82#16837316C2211yescharacteristic, complemented
83#16837314C2211yescharacteristic, complemented
84#16837314C2211yescharacteristic, complemented
85#16837310C2211yescharacteristic
86#16837310C2211yescharacteristic
87#16837310C2211yescharacteristic
88#16837310C2211yescharacteristic
89#16837310C2211yescharacteristic
90#16837310C2211yescharacteristic
91#16837310C2211yescharacteristic
92#16837310C2211yescharacteristic
93#16837306C2211yescharacteristic, complemented
94#16837305C2211yescharacteristic, complemented
95#16837302C2211yescharacteristic, complemented
96#16837302C2211yescharacteristic, complemented
97#16837302C2211yescharacteristic, complemented
98#16837302C2211yescharacteristic, complemented
99#16837297C2211yescharacteristic, complemented
100#16837296C2211yescharacteristic, complemented
101#16837296C2211yescharacteristic, complemented
102#16837296C2211yescharacteristic, complemented
103#16837296C2211yescharacteristic, complemented
104#16837295C2211yescharacteristic, complemented
105#16837295C2211yescharacteristic, complemented
106#16837294C2211yescharacteristic, complemented
107#16837294C2211yescharacteristic, complemented
108#16837293C2211yescharacteristic, complemented
109#16837293C2211yescharacteristic, complemented
110#16837292C2211yescharacteristic, complemented
111#16837292C2211yescharacteristic, complemented
112#16837291C2211yescharacteristic, complemented
113#16837291C2211yescharacteristic, complemented
114#16837290C2211yescharacteristic, complemented
115#16837290C2211yescharacteristic, complemented
116#16837290C2211yescharacteristic, complemented
117#16837290C2211yescharacteristic, complemented
118#16837288C2211yescharacteristic, complemented
119#16837286C2211yescharacteristic, complemented
120#16837286C2211yescharacteristic, complemented
121#16837285C2211yescharacteristic, complemented
122#16837283C2211yescharacteristic, complemented
123#16837282C2211yescharacteristic
124#16837282C2211yescharacteristic
125#16837282C2211yescharacteristic
126#16837282C2211yescharacteristic, complemented
127#16837282C2211yescharacteristic, complemented
128#16837281C2211yescharacteristic, complemented
129#16837281C2211yescharacteristic, complemented
130#16837279C2211yescharacteristic, complemented
131#16837279C2211yescharacteristic, complemented
132#16837278C2211yescharacteristic
133#16837278C2211yescharacteristic
134#16837278C2211yescharacteristic
135#16837278C2211yescharacteristic
136#16837278C2211yescharacteristic
137#16837278C2211yescharacteristic
138#16837278C2211yescharacteristic
139#16837278C2211yescharacteristic
140#16837278C2211yescharacteristic, complemented
141#16837278C2211yescharacteristic, complemented
142#16837278C2211yescharacteristic, complemented
143#16837278C2211yescharacteristic, complemented
144#16837276C2211yescharacteristic, complemented
145#16837276C2211yescharacteristic, complemented
146#16837275C2211yescharacteristic
147#16837275C2211yescharacteristic
148#16837275C2211yescharacteristic, complemented
149#16837274C2211yescharacteristic
150#16837273C2211yescharacteristic, complemented
151#16837273C2211yescharacteristic, complemented
152#16837269C2211yescharacteristic, complemented
153#16837266C2211yescharacteristic, complemented
154#16837265C2211yescharacteristic, complemented
155#16837263C2211yescharacteristic
156#16837263C2211yescharacteristic
157#16837262C2211yescharacteristic
158#16837261C2211yescharacteristic, complemented
159#16837261C2211yescharacteristic, complemented
160#16837260C2211yescharacteristic
161#16837260C2211yescharacteristic, complemented
162#16837259C2211yescharacteristic, complemented
163#16837259C2211yescharacteristic, complemented
164#16837258C2211yescharacteristic
165#16837258C2211yescharacteristic
166#16837257C2211yescharacteristic
167#16837257C2211yescharacteristic
168C22⋊C4×Dic59C2211yescharacteristic
169C4×C22⋊Dic59C2211yescharacteristic
170C2×C59⋊#95C2211yescharacteristic
171C2×C59⋊#95C2211yescharacteristic
172C2×#121×C59C2211yescharacteristic
173C2×#121×C59C2211yescharacteristic, complemented
174C2×#120×C59C2211yescharacteristic
175C2×#120×C59C2211yescharacteristic
176C2×C4×D4×C59C2211yescharacteristic
177C22×C22⋊C4×C59C2211yescharacteristic
178C59×#396C2211yescharacteristic, complemented
179C59×#394C2211yescharacteristic, complemented
180C59×#394C2211yescharacteristic, complemented
181C59×#392C2211yescharacteristic, complemented
182C59×#390C2211yescharacteristic, complemented
183C59×#388C2211yescharacteristic, complemented
184C59×#386C2211yescharacteristic
185C59×#386C2211yescharacteristic, complemented
186C59×#385C2211yescharacteristic
187C24×D59C2311yescharacteristic
188C22×Dic118C2311yescharacteristic
189C22×C22⋊D59—24no—
190C22×C22⋊D59—42no—
191C22×C22⋊D59—42no—
192C22×C22⋊D59C2311yescharacteristic
193C22×C22⋊D59C2311yescharacteristic
194C22×C22⋊D59C2311yescharacteristic
195C22×C22⋊D59C2311yescharacteristic
196C22×C22⋊D59C2311yescharacteristic
197C22×C22⋊D59C2311yescharacteristic
198C22×C22⋊D59C2311yescharacteristic
199C22×C22⋊D59C2311yescharacteristic
200C23×Dic59C2311yescharacteristic
201C23×Dic59C2311yescharacteristic
202C23×Dic59C2311yescharacteristic
203C23×Dic59C2311yescharacteristic
204C22×C4×D59—42no—
205C22×C4×D59—42no—
206C22×C4×D59—42no—
207C22×C4×D59C2311yescharacteristic
208C22×C4×D59C2311yescharacteristic
209C22×C4×D59C2311yescharacteristic
210C22×C4×D59C2311yescharacteristic
211#14273720—42no—
212#14273714—42no—
213#14273708—42no—
214#14273708—42no—
215#14273708—42no—
216#14273705—42no—
217#14273705—42no—
218#14273704—42no—
219#14273698—42no—
220#14273698—42no—
221#14273695—24no—
222#14273695—24no—
223D4×Dic59—42no—
224C2×C4⋊Dic59C2311yescharacteristic
225C2×C4⋊Dic59C2311yescharacteristic
226C2×C4⋊Dic59C2311yescharacteristic
227C2×C4⋊Dic59C2311yescharacteristic
228C2×Dic59⋊C4C2311yescharacteristic
229C2×Dic59⋊C4C2311yescharacteristic
230C2×Dic59⋊C4C2311yescharacteristic
231C2×Dic59⋊C4C2311yescharacteristic
232C2×Dic59⋊C4C2311yescharacteristic
233C2×Dic59⋊C4C2311yescharacteristic
234C2×Dic59⋊C4C2311yescharacteristic
235C2×Dic59⋊C4C2311yescharacteristic
236C2×Dic59⋊C4C2311yescharacteristic
237C2×Dic59⋊C4C2311yescharacteristic
238C2×Dic59⋊C4C2311yescharacteristic
239C2×Dic59⋊C4C2311yescharacteristic
240C2×Dic59⋊C4C2311yescharacteristic
241C2×Dic59⋊C4C2311yescharacteristic
242C2×C22⋊Dic59—42no—
243C2×C22⋊Dic59C2311yescharacteristic
244C2×C22⋊Dic59C2311yescharacteristic
245C2×C22⋊Dic59C2311yescharacteristic
246C2×C22⋊Dic59C2311yescharacteristic
247C2×C22⋊Dic59C2311yescharacteristic
248C2×C22⋊Dic59C2311yescharacteristic
249C2×C22⋊Dic59C2311yescharacteristic
250C2×C22⋊Dic59C2311yescharacteristic
251C2×C22⋊Dic59C2311yescharacteristic
252C2×C22⋊Dic59C2311yescharacteristic
253C2×C22⋊Dic59C2311yescharacteristic
254C2×C22⋊Dic59C2311yescharacteristic
255C2×C22⋊Dic59C2311yescharacteristic
256C2×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×(C2×D59)⋊C4—42no—
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×C4×Dic59C2311yescharacteristic
288C2×C4×Dic59C2311yescharacteristic
289C2×C4×Dic59C2311yescharacteristic
290C2×C4×Dic59C2311yescharacteristic
291C2×C4×Dic59C2311yescharacteristic
292C59⋊#95C2311yescharacteristic
293C59⋊#95C2311yescharacteristic
294C59⋊#95C2311yescharacteristic
295C59⋊#95C2311yescharacteristic
296C59⋊#95C2311yescharacteristic
297C59⋊#95C2311yescharacteristic
298C59⋊#95C2311yescharacteristic
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
328C25×C59C2311yescharacteristic
329C22×D4×C59C2311yescharacteristic
330C22×D4×C59C2311yescharacteristic
331C22×D4×C59C2311yescharacteristic
332C22×D4×C59C2311yescharacteristic
333C22×D4×C59C2311yescharacteristic
334C22×D4×C59C2311yescharacteristic
335C22×D4×C59C2311yescharacteristic
336C23×C4×C59C2311yescharacteristic
337C23×C4×C59C2311yescharacteristic
338C23×C4×C59C2311yescharacteristic
339#121×C59—42no—
340#121×C59—42no—
341#120×C59—42no—
342#120×C59—42no—
343C4×D4×C59—42no—
344C2×C4⋊C4×C59C2311yescharacteristic
345C2×C4⋊C4×C59C2311yescharacteristic
346C2×C4⋊C4×C59C2311yescharacteristic
347C2×C4⋊C4×C59C2311yescharacteristic
348C2×C22⋊C4×C59—42no—
349C2×C22⋊C4×C59C2311yescharacteristic
350C2×C22⋊C4×C59C2311yescharacteristic
351C2×C22⋊C4×C59C2311yescharacteristic
352C2×C22⋊C4×C59C2311yescharacteristic
353C2×C22⋊C4×C59C2311yescharacteristic
354C2×C22⋊C4×C59C2311yescharacteristic
355C2×C22⋊C4×C59C2311yescharacteristic
356C2×C22⋊C4×C59C2311yescharacteristic
357C2×C22⋊C4×C59C2311yescharacteristic
358C2×C22⋊C4×C59C2311yescharacteristic
359C2×C22⋊C4×C59C2311yescharacteristic
360C2×C22⋊C4×C59C2311yescharacteristic
361C2×C22⋊C4×C59C2311yescharacteristic
362C2×C22⋊C4×C59C2311yescharacteristic
363C2×C22⋊C4×C59C2311yescharacteristic
364C2×C42×C59C2311yescharacteristic
365#95×C59C2311yescharacteristic
366#95×C59C2311yescharacteristic
367#95×C59C2311yescharacteristic
368#95×C59C2311yescharacteristic
369C24×C59—22no—
370C24×C59—22no—
371C24×C59—22no—
372C24×C59—41no—
373C24×C59—41no—
374C24×C59—41no—
375C24×C59—41no—
376C24×C59C2411yescharacteristic
377C24×C59C2411yescharacteristic
378C24×C59C2411yescharacteristic
379C24×C59C2411yescharacteristic
380C24×C59C2411yescharacteristic
381C23×D59—22no—
382C23×D59—22no—
383C23×D59—41no—
384C23×D59—41no—
385C23×D59—41no—
386C23×D59—41no—
387C23×D59#4114yes—
388C23×D59C2411yescharacteristic
389C23×D59C2411yescharacteristic
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—41no—
398C2×D4×C59—41no—
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—
410C2×D4×C59—41no—
411C22×C4×C59—22no—
412C22×C4×C59—22no—
413C22×C4×C59—22no—
414C22×C4×C59—41no—
415C22×C4×C59—41no—
416C22×C4×C59—41no—
417C22×C4×C59—41no—
418C22×C4×C59—41no—
419C22×C4×C59—41no—
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
429C22×C4×C59C2411yescharacteristic
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—41no—
439C2×C22⋊D59—41no—
440C2×C22⋊D59—41no—
441C2×C22⋊D59—41no—
442C2×C22⋊D59—41no—
443C2×C22⋊D59—41no—
444C2×C22⋊D59—41no—
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—416no—
455C22×Dic59—22no—
456C22×Dic59—22no—
457C22×Dic59—22no—
458C22×Dic59—22no—
459C22×Dic59—22no—
460C22×Dic59—22no—
461C22×Dic59—41no—
462C22×Dic59—41no—
463C22×Dic59—41no—
464C22×Dic59—41no—
465C22×Dic59—41no—
466C22×Dic59—41no—
467C22×Dic59C2411yescharacteristic
468C22×Dic59C2411yescharacteristic
469C22×Dic59C2411yescharacteristic
470C22×Dic59C2411yescharacteristic
471C22×Dic59C2411yescharacteristic
472C22×Dic59C2411yescharacteristic
473C22×Dic59C2411yescharacteristic
474C22×Dic59C2411yescharacteristic
475C22×Dic59C2411yescharacteristic
476C22×Dic59C2411yescharacteristic
477C22×Dic59C2411yescharacteristic
478C22×Dic59C2411yescharacteristic
479C22×Dic59C2411yescharacteristic
480C22×Dic59C2411yescharacteristic
481C2×C4×D59—22no—
482C2×C4×D59—22no—
483C2×C4×D59—22no—
484C2×C4×D59—22no—
485C2×C4×D59—41no—
486C2×C4×D59—41no—
487C2×C4×D59—41no—
488C2×C4×D59—41no—
489C2×C4×D59—41no—
490C2×C4×D59—41no—
491C2×C4×D59—41no—
492C2×C4×D59—41no—
493C2×C4×D59—416no—
494C2×Dic118—22no—
495C2×Dic118—41no—
496C2×Dic118—41no—
497C4⋊C4×C59—22no—
498C4⋊C4×C59—41no—
499C4⋊C4×C59—41no—
500C4⋊C4×C59—41no—
501C22⋊C4×C59—22no—
502C22⋊C4×C59—22no—
503C22⋊C4×C59—22no—
504C22⋊C4×C59—22no—
505C22⋊C4×C59—41no—
506C22⋊C4×C59—41no—
507C22⋊C4×C59—41no—
508C22⋊C4×C59—41no—
509C22⋊C4×C59—41no—
510C22⋊C4×C59—41no—
511C22⋊C4×C59—41no—
512C22⋊C4×C59—41no—
513C22⋊C4×C59—41no—
514C22⋊C4×C59—41no—
515C22⋊C4×C59—41no—
516C42×C59—41no—
517C22⋊Dic59—22no—
518C22⋊Dic59—22no—
519C22⋊Dic59—22no—
520C22⋊Dic59—22no—
521C22⋊Dic59—22no—
522C22⋊Dic59—22no—
523C22⋊Dic59—22no—
524C22⋊Dic59—22no—
525C22⋊Dic59—41no—
526C22⋊Dic59—41no—
527C22⋊Dic59—41no—
528C22⋊Dic59—41no—
529C22⋊Dic59—41no—
530C22⋊Dic59—41no—
531C22⋊Dic59—41no—
532C22⋊Dic59—41no—
533C22⋊Dic59—41no—
534C22⋊Dic59—41no—
535C22⋊Dic59—41no—
536C22⋊Dic59—41no—
537C22⋊Dic59—41no—
538C22⋊Dic59—41no—
539C22⋊Dic59—41no—
540C22⋊Dic59—41no—
541C22⋊Dic59—41no—
542C22⋊Dic59—41no—
543C22⋊Dic59—41no—
544(C2×D59)⋊C4—22no—
545(C2×D59)⋊C4—22no—
546(C2×D59)⋊C4—22no—
547(C2×D59)⋊C4—22no—
548(C2×D59)⋊C4—41no—
549(C2×D59)⋊C4—41no—
550(C2×D59)⋊C4—41no—
551(C2×D59)⋊C4—41no—
552(C2×D59)⋊C4—41no—
553(C2×D59)⋊C4—41no—
554(C2×D59)⋊C4—41no—
555(C2×D59)⋊C4—41no—
556(C2×D59)⋊C4—41no—
557(C2×D59)⋊C4—41no—
558(C2×D59)⋊C4—41no—
559(C2×D59)⋊C4—41no—
560C4⋊Dic59—22no—
561C4⋊Dic59—41no—
562C4⋊Dic59—41no—
563C4⋊Dic59—41no—
564Dic59⋊C4—22no—
565Dic59⋊C4—22no—
566Dic59⋊C4—41no—
567Dic59⋊C4—41no—
568Dic59⋊C4—41no—
569Dic59⋊C4—41no—
570Dic59⋊C4—41no—
571Dic59⋊C4—41no—
572Dic59⋊C4—41no—
573Dic59⋊C4—41no—
574Dic59⋊C4—41no—
575Dic59⋊C4—41no—
576Dic59⋊C4—41no—
577Dic59⋊C4—41no—
578C4×Dic59—41no—
579C4×Dic59—41no—
580C4×Dic59—41no—
581C4×Dic59—41no—
582C4×Dic59—41no—
583C23×C59—21no—
584C23×C59—21no—
585C23×C59—21no—
586C23×C59—21no—
587C23×C59—21no—
588C23×C59—21no—
589C23×C59—21no—
590C23×C59—21no—
591C23×C59—21no—
592C23×C59—21no—
593C23×C59—21no—
594C23×C59—21no—
595C23×C59—21no—
596C23×C59—21no—
597C23×C59—21no—
598C23×C59—21no—
599C23×C59—21no—
600C23×C59—21no—
601C23×C59—21no—
602C23×C59—21no—
603C23×C59—21no—
604C23×C59—21no—
605C23×C59—21no—
606C23×C59—21no—
607C23×C59—21no—
608C23×C59—21no—
609C23×C59—21no—
610C23×C59—21no—
611C23×C59—21no—
612C23×C59—21no—
613C23×C59—21no—
614C23×C59—21no—
615C23×C59—44no—
616C23×C59—44no—
617C23×C59—44no—
618C23×C59—82no—
619C23×C59—82no—
620C23×C59—82no—
621C23×C59—82no—
622C23×C59C2×#4112yes—
623C23×C59H(5,𝔽2)12yes—
624C23×C59H(5,𝔽2)12yes—
625C23×C59C2511yescharacteristic
626C22×D59—28no—
627C22×D59—21no—
628C22×D59—21no—
629C22×D59—21no—
630C22×D59—21no—
631C22×D59—21no—
632C22×D59—21no—
633C22×D59—21no—
634C22×D59—21no—
635C22×D59—21no—
636C22×D59—21no—
637C22×D59—21no—
638C22×D59—21no—
639C22×D59—44no—
640C22×D59—44no—
641C22×D59—44no—
642C22×D59—44no—
643C22×D59—44no—
644C22×D59—44no—
645C22×D59C2×#4112yes—
646C22×D59C2×#4112yes—
647D4×C59—44no—
648D4×C59—44no—
649D4×C59—82no—
650D4×C59—82no—
651D4×C59—82no—
652D4×C59—82no—
653D4×C59—82no—
654C2×C4×C59—21no—
655C2×C4×C59—21no—
656C2×C4×C59—21no—
657C2×C4×C59—21no—
658C2×C4×C59—21no—
659C2×C4×C59—21no—
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—44no—
684C2×C4×C59—82no—
685C2×C4×C59—82no—
686C2×C4×C59H(5,𝔽2)12yes—
687C22⋊D59—44no—
688C22⋊D59—44no—
689C22⋊D59—44no—
690C22⋊D59—44no—
691C22⋊D59—82no—
692C22⋊D59—82no—
693C22⋊D59—82no—
694C22⋊D59—82no—
695C2×Dic59—21no—
696C2×Dic59—21no—
697C2×Dic59—21no—
698C2×Dic59—21no—
699C2×Dic59—21no—
700C2×Dic59—21no—
701C2×Dic59—21no—
702C2×Dic59—21no—
703C2×Dic59—21no—
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—44no—
737C2×Dic59—44no—
738C2×Dic59—82no—
739C2×Dic59—82no—
740C2×Dic59H(5,𝔽2)12yes—
741C4×D59—44no—
742C4×D59—44no—
743C4×D59—44no—
744C4×D59—44no—
745Dic118—82no—
746#36758—591nomaximal, Sylow
747C22×C59—22no—
748C22×C59—22no—
749C22×C59—22no—
750C22×C59—22no—
751C22×C59—22no—
752C22×C59—22no—
753C22×C59—41no—
754C22×C59—41no—
755C22×C59—41no—
756C22×C59—41no—
757C22×C59—41no—
758C22×C59—41no—
759C22×C59—41no—
760C22×C59—41no—
761C22×C59—41no—
762C22×C59—41no—
763C22×C59—41no—
764C22×C59—41no—
765C22×C59—41no—
766C22×C59—41no—
767C22×C59—41no—
768C22×C59—41no—
769C22×C59—41no—
770C22×C59—41no—
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—88no—
782C22×C59#53814yes—
783C22×C59C22×#4111yescharacteristic
784C22×C59C2×H(5,𝔽2)11yescharacteristic
785C22×C59C2×H(5,𝔽2)11yescharacteristic
786C22×C59C2×H(5,𝔽2)11yescharacteristic
787C22×C59C2×H(5,𝔽2)11yescharacteristic
788C22×C59#58511yescharacteristic
789C22×C59#58511yescharacteristic
790C2×D59—22no—
791C2×D59—22no—
792C2×D59—22no—
793C2×D59—22no—
794C2×D59—22no—
795C2×D59—22no—
796C2×D59—416no—
797C2×D59—41no—
798C2×D59—41no—
799C2×D59—41no—
800C2×D59—41no—
801C2×D59—41no—
802C2×D59—41no—
803C2×D59—41no—
804C2×D59—41no—
805C4×C59—22no—
806C4×C59—41no—
807C4×C59—41no—
808C4×C59—41no—
809C4×C59—41no—
810C4×C59—41no—
811C4×C59—41no—
812C4×C59—41no—
813C4×C59—41no—
814C4×C59—41no—
815Dic59—22no—
816Dic59—41no—
817Dic59—41no—
818Dic59—41no—
819Dic59—41no—
820Dic59—41no—
821Dic59—41no—
822Dic59—41no—
823Dic59—41no—
824Dic59—41no—
825Dic59—41no—
826Dic59—41no—
827Dic59—41no—
828Dic59—41no—
829#2848—591no—
830#2847—591no—
831#2797—591no—
832#2781—591no—
833#2779—591no—
834#2778—591no—
835#2778—591no—
836#2756—591no—
837#2753—591no—
838#2749—591no—
839#2741—591no—
840#2730—591no—
841#2714—591no—
842#2703—591no—
843#2702—591no—
844#2696—591no—
845#2688—591no—
846#2676—591no—
847#2613—591no—
848#2613—591no—
849#2493—591no—
850#2488—591no—
851#2480—591no—
852#2472—591no—
853#2425—591no—
854#2424D5911yescharacteristic, complemented
855#2419—591no—
856#2418—591no—
857#2321—591no—
858#2321—591no—
859C2×#386—591no—
860C2×C59—24no—
861C2×C59—81no—
862C2×C59—81no—
863C2×C59—81no—
864C2×C59—81no—
865C2×C59C2×#53811yescharacteristic
866C2×C59#350511yescharacteristic
867C2×C59#350511yescharacteristic
868C2×C59#353211yescharacteristic
869C2×C59#353311yescharacteristic
870C2×C59#354211yescharacteristic
871C2×C59#354211yescharacteristic
872D59—42no—
873D59—42no—
874C23×D4—591no—
875C24×C4—591no—
876C2×#126—591no—
877C2×#124—591no—
878C2×#123—591no—
879C2×#123—591no—
880C2×#123—591no—
881C2×C22⋊Q8—591no—
882C2×C22⋊Q8—591no—
883C2×C22⋊Q8—591no—
884C2×#121—591no—
885C2×#121—591no—
886C2×#121C2×D5911yescharacteristic
887C2×#121C2×D5911yescharacteristic, complemented
888C2×#120—591no—
889C2×#120—591no—
890C2×#120C2×D5911yescharacteristic
891C2×#120C2×D5911yescharacteristic
892C2×C4×D4—591no—
893C2×C4×D4C2×D5911yescharacteristic
894C22×C22⋊C4—591no—
895C22×C22⋊C4—591no—
896C22×C22⋊C4C2×D5911yescharacteristic
897#401—591no—
898#400—591no—
899#400—591no—
900#400—591no—
901#400—591no—
902#400—591no—
903#400—591no—
904#399—591no—
905#398—591no—
906#398—591no—
907#397—591no—
908#397—591no—
909#397—591no—
910#397—591no—
911#397—591no—
912#397—591no—
913#397—591no—
914#397—591no—
915#397—591no—
916#396—591no—
917#396—591no—
918#396C2×D5911yescharacteristic, complemented
919#394—591no—
920#394—591no—
921#394—591no—
922#394—591no—
923#394—591no—
924#394—591no—
925#394—591no—
926#394—591no—
927#394—591no—
928#394—591no—
929#394—591no—
930#394—591no—
931#394—591no—
932#394C2×D5911yescharacteristic, complemented
933#394C2×D5911yescharacteristic, complemented
934#393—591no—
935#393—591no—
936#392—591no—
937#392—591no—
938#392—591no—
939#392—591no—
940#392—591no—
941#392—591no—
942#392—591no—
943#392—591no—
944#392C2×D5911yescharacteristic, complemented
945#391—591no—
946#390—591no—
947#390—591no—
948#390—591no—
949#390—591no—
950#390—591no—
951#390C2×D5911yescharacteristic, complemented
952#389—591no—
953#388—591no—
954#388—591no—
955#388—591no—
956#388—591no—
957#388—591no—
958#388—591no—
959#388—591no—
960#388—591no—
961#388—591no—
962#388—591no—
963#388—591no—
964#388—591no—
965#388—591no—
966#388—591no—
967#388—591no—
968#388—591no—
969#388—591no—
970#388—591no—
971#388C2×D5911yescharacteristic, complemented
972#387—591no—
973#387—591no—
974#387—591no—
975#387—591no—
976#387—591no—
977#386—591no—
978#386—591no—
979#386—591no—
980#386—591no—
981#386—591no—
982#386—591no—
983#386—591no—
984#386—591no—
985#386—591no—
986#386—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#386C2×D5911yescharacteristic
999#386C2×D5911yescharacteristic, complemented
1000#385—591no—
1001#385—591no—
1002#385—591no—
1003#385—591no—
1004#385—591no—
1005#385—591no—
1006#385—591no—
1007#385—591no—
1008#385C2×D5911yescharacteristic
1009#383—591no—
1010#382—591no—
1011#381—591no—
1012#381—591no—
1013#381—591no—
1014#380—591no—
1015#380—591no—
1016#380—591no—
1017#380—591no—
1018#380—591no—
1019#380—591no—
1020#380—591no—
1021#379—591no—
1022#379—591no—
1023#379—591no—
1024#379—591no—
1025C4×C22⋊C4—591no—
1026C4×C22⋊C4—591no—
1027C2×#95—591no—
1028C2×#95—591no—
1029C59#3675811yescharacteristic, complemented, Sylow
1030C25—591no—
1031C25C22×D5911yescharacteristic
1032C22×Q8—591no—
1033C22×D4—591no—
1034C22×D4—591no—
1035C22×D4—591no—
1036C22×D4—591no—
1037C22×D4—591no—
1038C22×D4—591no—
1039C22×D4—591no—
1040C22×D4—591no—
1041C22×D4—1184no—
1042C22×D4—2362no—
1043C22×D4—2362no—
1044C22×D4C22×D5911yescharacteristic
1045C22×D4C22×D5911yescharacteristic
1046C22×D4C22×D5911yescharacteristic
1047C22×D4C22×D5911yescharacteristic
1048C22×D4C22×D5911yescharacteristic
1049C22×D4C22×D5911yescharacteristic
1050C22×D4C22×D5911yescharacteristic
1051C23×C4—591no—
1052C23×C4—591no—
1053C23×C4—591no—
1054C23×C4—591no—
1055C23×C4—591no—
1056C23×C4—591no—
1057C23×C4—591no—
1058C23×C4—591no—
1059C23×C4—2362no—
1060C23×C4—2362no—
1061C23×C4—2362no—
1062C23×C4C22×D5911yescharacteristic
1063C23×C4C22×D5911yescharacteristic
1064C23×C4C22×D5911yescharacteristic
1065#126—2362no—
1066#124—2362no—
1067#123—2362no—
1068#123—2362no—
1069#123—2362no—
1070C22⋊Q8—2362no—
1071C22⋊Q8—2362no—
1072C22⋊Q8—2362no—
1073#121—42no—
1074#121—42no—
1075#121—2362no—
1076#121—2362no—
1077#120—42no—
1078#120—42no—
1079#120—1184no—
1080#120—1184no—
1081C4×D4—42no—
1082C4×D4—2362no—
1083C2×C4⋊C4—591no—
1084C2×C4⋊C4—591no—
1085C2×C4⋊C4—591no—
1086C2×C4⋊C4—591no—
1087C2×C4⋊C4—591no—
1088C2×C4⋊C4—591no—
1089C2×C4⋊C4—591no—
1090C2×C4⋊C4—591no—
1091C2×C4⋊C4—591no—
1092C2×C4⋊C4—591no—
1093C2×C4⋊C4—591no—
1094C2×C4⋊C4—591no—
1095C2×C4⋊C4—591no—
1096C2×C4⋊C4—591no—
1097C2×C4⋊C4—591no—
1098C2×C4⋊C4—591no—
1099C2×C4⋊C4—591no—
1100C2×C4⋊C4—591no—
1101C2×C4⋊C4C22×D5911yescharacteristic
1102C2×C4⋊C4C22×D5911yescharacteristic
1103C2×C4⋊C4C22×D5911yescharacteristic
1104C2×C4⋊C4C22×D5911yescharacteristic
1105C2×C22⋊C4—42no—
1106C2×C22⋊C4—591no—
1107C2×C22⋊C4—591no—
1108C2×C22⋊C4—591no—
1109C2×C22⋊C4—591no—
1110C2×C22⋊C4—591no—
1111C2×C22⋊C4—591no—
1112C2×C22⋊C4—591no—
1113C2×C22⋊C4—591no—
1114C2×C22⋊C4—591no—
1115C2×C22⋊C4—591no—
1116C2×C22⋊C4—591no—
1117C2×C22⋊C4—591no—
1118C2×C22⋊C4—591no—
1119C2×C22⋊C4—591no—
1120C2×C22⋊C4—591no—
1121C2×C22⋊C4—591no—
1122C2×C22⋊C4—591no—
1123C2×C22⋊C4—591no—
1124C2×C22⋊C4—591no—
1125C2×C22⋊C4—591no—
1126C2×C22⋊C4—591no—
1127C2×C22⋊C4—591no—
1128C2×C22⋊C4—591no—
1129C2×C22⋊C4—591no—
1130C2×C22⋊C4—591no—
1131C2×C22⋊C4—591no—
1132C2×C22⋊C4—591no—
1133C2×C22⋊C4—591no—
1134C2×C22⋊C4—591no—
1135C2×C22⋊C4—591no—
1136C2×C22⋊C4—591no—
1137C2×C22⋊C4—591no—
1138C2×C22⋊C4—591no—
1139C2×C22⋊C4—591no—
1140C2×C22⋊C4—591no—
1141C2×C22⋊C4—591no—
1142C2×C22⋊C4—591no—
1143C2×C22⋊C4—591no—
1144C2×C22⋊C4—591no—
1145C2×C22⋊C4—591no—
1146C2×C22⋊C4—591no—
1147C2×C22⋊C4—591no—
1148C2×C22⋊C4—591no—
1149C2×C22⋊C4—2362no—
1150C2×C22⋊C4—2362no—
1151C2×C22⋊C4C22×D5911yescharacteristic
1152C2×C22⋊C4C22×D5911yescharacteristic
1153C2×C22⋊C4C22×D5911yescharacteristic
1154C2×C22⋊C4C22×D5911yescharacteristic
1155C2×C22⋊C4C22×D5911yescharacteristic
1156C2×C22⋊C4C22×D5911yescharacteristic
1157C2×C22⋊C4C22×D5911yescharacteristic
1158C2×C22⋊C4C22×D5911yescharacteristic
1159C2×C22⋊C4C22×D5911yescharacteristic
1160C2×C22⋊C4C22×D5911yescharacteristic
1161C2×C22⋊C4C22×D5911yescharacteristic
1162C2×C22⋊C4C22×D5911yescharacteristic
1163C2×C22⋊C4C22×D5911yescharacteristic
1164C2×C22⋊C4C22×D5911yescharacteristic
1165C2×C22⋊C4C22×D5911yescharacteristic
1166C2×C42—591no—
1167C2×C42—591no—
1168C2×C42—591no—
1169C2×C42—591no—
1170C2×C42—591no—
1171C2×C42C22×D5911yescharacteristic
1172#95—591no—
1173#95—591no—
1174#95—591no—
1175#95—591no—
1176#95—591no—
1177#95—591no—
1178#95—591no—
1179#95—591no—
1180#95—591no—
1181#95—591no—
1182#95—591no—
1183#95—591no—
1184#95—591no—
1185#95—591no—
1186#95—591no—
1187#95—591no—
1188#95—591no—
1189#95—591no—
1190#95—591no—
1191#95—591no—
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#95C22×D5911yescharacteristic
1209#95C22×D5911yescharacteristic
1210#95C22×D5911yescharacteristic
1211#95C22×D5911yescharacteristic
1212C24—22no—
1213C24—22no—
1214C24—22no—
1215C24—41no—
1216C24—41no—
1217C24—41no—
1218C24—41no—
1219C24—591no—
1220C24—591no—
1221C24—594no—
1222C24—1182no—
1223C24—1182no—
1224C24—2361no—
1225C24—2361no—
1226C24—2361no—
1227C24—2361no—
1228C24C23×D5911yescharacteristic
1229C24C23×D5911yescharacteristic
1230C24C23×D5911yescharacteristic
1231C24C23×D5911yescharacteristic
1232C24C23×D5911yescharacteristic
1233C2×Q8—1182no—
1234C2×Q8—2361no—
1235C2×Q8—2361no—
1236C2×D4—22no—
1237C2×D4—22no—
1238C2×D4—22no—
1239C2×D4—22no—
1240C2×D4—22no—
1241C2×D4—22no—
1242C2×D4—22no—
1243C2×D4—41no—
1244C2×D4—41no—
1245C2×D4—41no—
1246C2×D4—41no—
1247C2×D4—41no—
1248C2×D4—41no—
1249C2×D4—41no—
1250C2×D4—41no—
1251C2×D4—41no—
1252C2×D4—41no—
1253C2×D4—41no—
1254C2×D4—41no—
1255C2×D4—41no—
1256C2×D4—41no—
1257C2×D4—1182no—
1258C2×D4—1182no—
1259C2×D4—1182no—
1260C2×D4—1182no—
1261C2×D4—1182no—
1262C2×D4—1182no—
1263C2×D4—1182no—
1264C2×D4—1182no—
1265C2×D4—2361no—
1266C2×D4—2361no—
1267C2×D4—2361no—
1268C2×D4—2361no—
1269C2×D4—2361no—
1270C2×D4—2361no—
1271C2×D4—2361no—
1272C2×D4—2361no—
1273C2×D4—2361no—
1274C2×D4—2361no—
1275C2×D4—2361no—
1276C2×D4—2361no—
1277C2×D4—2361no—
1278C2×D4—2361no—
1279C2×D4—2361no—
1280C2×D4—2361no—
1281C2×D4—23616no—
1282C22×C4—22no—
1283C22×C4—22no—
1284C22×C4—22no—
1285C22×C4—41no—
1286C22×C4—41no—
1287C22×C4—41no—
1288C22×C4—41no—
1289C22×C4—41no—
1290C22×C4—41no—
1291C22×C4—591no—
1292C22×C4—591no—
1293C22×C4—591no—
1294C22×C4—591no—
1295C22×C4—591no—
1296C22×C4—591no—
1297C22×C4—591no—
1298C22×C4—591no—
1299C22×C4—591no—
1300C22×C4—591no—
1301C22×C4—591no—
1302C22×C4—591no—
1303C22×C4—591no—
1304C22×C4—591no—
1305C22×C4—1182no—
1306C22×C4—1182no—
1307C22×C4—1182no—
1308C22×C4—1182no—
1309C22×C4—1182no—
1310C22×C4—1182no—
1311C22×C4—1182no—
1312C22×C4—1182no—
1313C22×C4—1182no—
1314C22×C4—1182no—
1315C22×C4—2361no—
1316C22×C4—2361no—
1317C22×C4—2361no—
1318C22×C4—2361no—
1319C22×C4—2361no—
1320C22×C4—2361no—
1321C22×C4—2361no—
1322C22×C4—2361no—
1323C22×C4—23616no—
1324C22×C4—2361no—
1325C22×C4—2361no—
1326C22×C4—2361no—
1327C22×C4—2361no—
1328C22×C4—2361no—
1329C22×C4—2361no—
1330C22×C4C23×D5911yescharacteristic
1331C22×C4C23×D5911yescharacteristic
1332C22×C4C23×D5911yescharacteristic
1333C22×C4C23×D5911yescharacteristic
1334C22×C4C23×D5911yescharacteristic
1335C22×C4C23×D5911yescharacteristic
1336C22×C4C23×D5911yescharacteristic
1337C22×C4C23×D5911yescharacteristic
1338C22×C4C23×D5911yescharacteristic
1339C22×C4C23×D5911yescharacteristic
1340C4⋊C4—22no—
1341C4⋊C4—41no—
1342C4⋊C4—41no—
1343C4⋊C4—41no—
1344C4⋊C4—1182no—
1345C4⋊C4—1182no—
1346C4⋊C4—1182no—
1347C4⋊C4—2361no—
1348C4⋊C4—2361no—
1349C4⋊C4—2361no—
1350C4⋊C4—2361no—
1351C4⋊C4—2361no—
1352C4⋊C4—2361no—
1353C4⋊C4—2361no—
1354C4⋊C4—2361no—
1355C4⋊C4—2361no—
1356C4⋊C4—2361no—
1357C4⋊C4—2361no—
1358C4⋊C4—2361no—
1359C4⋊C4—2361no—
1360C4⋊C4—2361no—
1361C4⋊C4—2361no—
1362C22⋊C4—22no—
1363C22⋊C4—22no—
1364C22⋊C4—22no—
1365C22⋊C4—22no—
1366C22⋊C4—41no—
1367C22⋊C4—41no—
1368C22⋊C4—41no—
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—1182no—
1378C22⋊C4—1182no—
1379C22⋊C4—1182no—
1380C22⋊C4—1182no—
1381C22⋊C4—1182no—
1382C22⋊C4—1182no—
1383C22⋊C4—1182no—
1384C22⋊C4—1182no—
1385C22⋊C4—1182no—
1386C22⋊C4—1182no—
1387C22⋊C4—1182no—
1388C22⋊C4—1182no—
1389C22⋊C4—2361no—
1390C22⋊C4—2361no—
1391C22⋊C4—2361no—
1392C22⋊C4—2361no—
1393C22⋊C4—2361no—
1394C22⋊C4—2361no—
1395C22⋊C4—2361no—
1396C22⋊C4—2361no—
1397C22⋊C4—2361no—
1398C22⋊C4—2361no—
1399C22⋊C4—2361no—
1400C22⋊C4—2361no—
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⋊C4—2361no—
1413C22⋊C4—2361no—
1414C22⋊C4—2361no—
1415C22⋊C4—2361no—
1416C22⋊C4—2361no—
1417C22⋊C4—2361no—
1418C22⋊C4—2361no—
1419C22⋊C4—2361no—
1420C42—41no—
1421C42—2361no—
1422C42—2361no—
1423C42—2361no—
1424C42—2361no—
1425C42—2361no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—44no—
1459C23—44no—
1460C23—44no—
1461C23—82no—
1462C23—82no—
1463C23—82no—
1464C23—82no—
1465C23—592no—
1466C23—592no—
1467C23—1181no—
1468C23—1181no—
1469C23—1181no—
1470C23—1181no—
1471C23—1181no—
1472C23—1181no—
1473C23—1181no—
1474C23—1181no—
1475C23—1181no—
1476C23—1181no—
1477C23—1181no—
1478C23—1181no—
1479C23—1188no—
1480C23—2364no—
1481C23—2364no—
1482C23—2364no—
1483C23—2364no—
1484C23—2364no—
1485C23—2364no—
1486C23#41×D5912yes—
1487C23#1427377212yes—
1488C23#1427377212yes—
1489C23C24×D5911yescharacteristic
1490Q8—4722no—
1491D4—44no—
1492D4—44no—
1493D4—82no—
1494D4—82no—
1495D4—82no—
1496D4—82no—
1497D4—82no—
1498D4—4722no—
1499D4—4722no—
1500D4—4722no—
1501D4—4722no—
1502D4—2364no—
1503D4—2364no—
1504D4—2364no—
1505D4—2364no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
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—44no—
1536C2×C4—82no—
1537C2×C4—82no—
1538C2×C4—592no—
1539C2×C4—1181no—
1540C2×C4—1181no—
1541C2×C4—1181no—
1542C2×C4—1181no—
1543C2×C4—1181no—
1544C2×C4—1181no—
1545C2×C4—1181no—
1546C2×C4—1181no—
1547C2×C4—1181no—
1548C2×C4—1181no—
1549C2×C4—1181no—
1550C2×C4—1181no—
1551C2×C4—1181no—
1552C2×C4—1181no—
1553C2×C4—1181no—
1554C2×C4—1181no—
1555C2×C4—1181no—
1556C2×C4—1181no—
1557C2×C4—1181no—
1558C2×C4—1181no—
1559C2×C4—1181no—
1560C2×C4—1181no—
1561C2×C4—1181no—
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—4722no—
1581C2×C4—4722no—
1582C2×C4—2364no—
1583C2×C4—2364no—
1584C2×C4—2364no—
1585C2×C4—2364no—
1586C2×C4—2364no—
1587C2×C4—2364no—
1588C2×C4#1427377212yes—
1589C22—22no—
1590C22—22no—
1591C22—22no—
1592C22—22no—
1593C22—22no—
1594C22—22no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—88no—
1624C22—1182no—
1625C22—1182no—
1626C22—1182no—
1627C22—1182no—
1628C22—1182no—
1629C22—1182no—
1630C22—23616no—
1631C22—2361no—
1632C22—2361no—
1633C22—2361no—
1634C22—2361no—
1635C22—2361no—
1636C22—2361no—
1637C22—2361no—
1638C22—2361no—
1639C22#1683798414yes—
1640C22C2×#41×D5911yescharacteristic
1641C22H(5,𝔽2)×D5911yescharacteristic
1642C22C2×#1427377211yescharacteristic
1643C22C2×#1427377211yescharacteristic
1644C22C2×#1427377211yescharacteristic
1645C22#1683823711yescharacteristic
1646C22#1683823811yescharacteristic
1647C4—22no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—1182no—
1658C4—2361no—
1659C4—2361no—
1660C4—2361no—
1661C4—2361no—
1662C4—2361no—
1663C4—2361no—
1664C4—2361no—
1665C4—2361no—
1666C4—2361no—
1667C4—2361no—
1668C4—2361no—
1669C4—2361no—
1670C4—2361no—
1671C2—24no—
1672C2—81no—
1673C2—81no—
1674C2—81no—
1675C2—81no—
1676C2—2362no—
1677C2—2362no—
1678C2C2×#1683798411yescharacteristic
1679C2#2143792411yescharacteristic
1680C2#2143793411yescharacteristic
1681C2#2143824611yescharacteristic
1682C2#2143825511yescharacteristic
1683C2#2143839711yescharacteristic
1684C2#2143841711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2424C2
hypercenter#2424D59
hypocenterC59#36758
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2424

Complements

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

NH ≅ G/Ntype
1. #21432382C2semidirect
2. #21432375C2semidirect
3. #21431950C2semidirect
4. #21431758C2semidirect
5. #21431727C2semidirect
6. #21431719C2semidirect
7. #21431717C2semidirect
8. #21431423C2semidirect
9. #21431372C2semidirect
10. #21431323C2semidirect
11. #21431209C2semidirect
12. #21431099C2semidirect
13. #21430899C2semidirect
14. #21430746C2semidirect
15. #21430730C2semidirect
16. #21430641C2semidirect
17. #21430528C2semidirect
18. #21430391C2semidirect
19. #21429810C2semidirect
20. #21429810C2semidirect
21. #21428479C2semidirect
22. #21428424C2semidirect
23. #21428336C2semidirect
24. #21428221C2semidirect
25. #21427653C2semidirect
26. #21427567C2semidirect
27. #21427554C2semidirect
28. #21426759C2semidirect
29. #21426750C2semidirect
30. C2×#16837278C2semidirect
31. C59×#2424C2semidirect
34. C2×#14273720C22semidirect
35. C2×#14273714C22semidirect
38. C2×#14273708C22semidirect
39. C2×#14273705C22semidirect
40. C2×#14273705C22semidirect
42. C2×#14273698C22semidirect
43. C2×#14273698C22semidirect
49. C59⋊#401C22semidirect
50. #16837344C22semidirect
51. #16837344C22semidirect
52. #16837343C22semidirect
53. #16837341C22semidirect
54. #16837340C22semidirect
55. #16837340C22semidirect
56. #16837338C22semidirect
57. #16837335C22semidirect
58. #16837333C22semidirect
59. #16837330C22semidirect
60. #16837330C22semidirect
61. #16837330C22semidirect
62. #16837330C22semidirect
63. #16837330C22semidirect
64. #16837330C22semidirect
65. #16837327C22semidirect
66. #16837327C22semidirect
67. #16837327C22semidirect
68. #16837325C22semidirect
69. #16837325C22semidirect
78. #16837316C22semidirect
79. #16837316C22semidirect
80. #16837316C22semidirect
81. #16837316C22semidirect
82. #16837316C22semidirect
83. #16837314C22semidirect
84. #16837314C22semidirect
93. #16837306C22semidirect
94. #16837305C22semidirect
95. #16837302C22semidirect
96. #16837302C22semidirect
97. #16837302C22semidirect
98. #16837302C22semidirect
99. #16837297C22semidirect
100. #16837296C22semidirect
101. #16837296C22semidirect
102. #16837296C22semidirect
103. #16837296C22semidirect
104. #16837295C22semidirect
105. #16837295C22semidirect
106. #16837294C22semidirect
107. #16837294C22semidirect
108. #16837293C22semidirect
109. #16837293C22semidirect
110. #16837292C22semidirect
111. #16837292C22semidirect
112. #16837291C22semidirect
113. #16837291C22semidirect
114. #16837290C22semidirect
115. #16837290C22semidirect
116. #16837290C22semidirect
117. #16837290C22semidirect
118. #16837288C22semidirect
119. #16837286C22semidirect
120. #16837286C22semidirect
121. #16837285C22semidirect
122. #16837283C22semidirect
126. #16837282C22semidirect
127. #16837282C22semidirect
128. #16837281C22semidirect
129. #16837281C22semidirect
130. #16837279C22semidirect
131. #16837279C22semidirect
140. #16837278C22semidirect
141. #16837278C22semidirect
142. #16837278C22semidirect
143. #16837278C22semidirect
144. #16837276C22semidirect
145. #16837276C22semidirect
148. #16837275C22semidirect
150. #16837273C22semidirect
151. #16837273C22semidirect
152. #16837269C22semidirect
153. #16837266C22semidirect
154. #16837265C22semidirect
158. #16837261C22semidirect
159. #16837261C22semidirect
161. #16837260C22semidirect
162. #16837259C22semidirect
163. #16837259C22semidirect
173. C2×#121×C59C22semidirect
178. C59×#396C22semidirect
179. C59×#394C22semidirect
180. C59×#394C22semidirect
181. C59×#392C22semidirect
182. C59×#390C22semidirect
183. C59×#388C22semidirect
185. C59×#386C22semidirect
854. #2424D59semidirect
887. C2×#121C2×D59semidirect
918. #396C2×D59semidirect
932. #394C2×D59semidirect
933. #394C2×D59semidirect
944. #392C2×D59semidirect
951. #390C2×D59semidirect
971. #388C2×D59semidirect
999. #386C2×D59semidirect
1029. C59#36758semidirect

Maximal subgroups

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

subgroupindex
#214323822
#214323752
#214319502
#214317582
#214317272
#214317192
#214317172
#214314232
#214313722
#214313232
#214312092
#214310992
#214308992
#214307462
#214307302
#214306412
#214305282
#214303912
#214298102
#214284792
#214284242
#214283362
#214282212
#214276532
#214275672
#214275542
#214267592
#214267502
C2×#168372782
C59×#24242
#3675859