Finite Group Databasebeta

← #28796572

Subgroups — #28796572

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#21432379C211yesmaximal, characteristic, complemented
3#21431946C211yesmaximal, characteristic, complemented
4#21431763C211yesmaximal, characteristic, complemented
5#21431731C211yesmaximal, characteristic, complemented
6#21431713C211yesmaximal, characteristic, complemented
7#21431712C211yesmaximal, characteristic, complemented
8#21431416C211yesmaximal, characteristic, complemented
9#21431377C211yesmaximal, characteristic, complemented
10#21431318C211yesmaximal, characteristic, complemented
11#21431213C211yesmaximal, characteristic, complemented
12#21431090C211yesmaximal, characteristic, complemented
13#21430888C211yesmaximal, characteristic, complemented
14#21430734C211yesmaximal, characteristic, complemented
15#21430718C211yesmaximal, characteristic, complemented
16#21430648C211yesmaximal, characteristic, complemented
17#21430537C211yesmaximal, characteristic, complemented
18#21430403C211yesmaximal, characteristic, complemented
19#21429811C211yesmaximal, characteristic, complemented
20#21429811C211yesmaximal, characteristic, complemented
21#21428487C211yesmaximal, characteristic, complemented
22#21428416C211yesmaximal, characteristic, complemented
23#21428219C211yesmaximal, characteristic, complemented
24#21427645C211yesmaximal, characteristic, complemented
25#21427632C211yesmaximal, characteristic, complemented
26#21427575C211yesmaximal, characteristic, complemented
27#21427562C211yesmaximal, characteristic, complemented
28#21426756C211yesmaximal, characteristic, complemented
29#21426753C211yesmaximal, characteristic, complemented
30C2×#16837278C211yesmaximal, characteristic, complemented
31C59×#2480C211yesmaximal, characteristic, complemented
32C23×C22⋊D59C2211yescharacteristic
33C23×C4×D59C2211yescharacteristic
34C2×#14273713C2211yescharacteristic, complemented
35C2×#14273711C2211yescharacteristic
36C2×#14273711C2211yescharacteristic
37C2×#14273709C2211yescharacteristic, complemented
38C2×#14273705C2211yescharacteristic, complemented
39C2×#14273705C2211yescharacteristic, complemented
40C2×#14273704C2211yescharacteristic
41C2×#14273702C2211yescharacteristic, complemented
42C2×#14273702C2211yescharacteristic, complemented
43C2×#14273701C2211yescharacteristic
44C2×#14273700C2211yescharacteristic, complemented
45C2×#14273697C2211yescharacteristic
46C2×#14273697C2211yescharacteristic
47C2×#14273696C2211yescharacteristic
48C2×#14273696C2211yescharacteristic
49C2×C4×C22⋊D59C2211yescharacteristic
50C2×(C22⋊D59)⋊C4C2211yescharacteristic
51C22×C22⋊Dic59C2211yescharacteristic
52C22×(C2×D59)⋊C4C2211yescharacteristic
53C59⋊#401C2211yescharacteristic, complemented
54#16837344C2211yescharacteristic, complemented
55#16837344C2211yescharacteristic, complemented
56#16837342C2211yescharacteristic, complemented
57#16837342C2211yescharacteristic, complemented
58#16837341C2211yescharacteristic, complemented
59#16837340C2211yescharacteristic, complemented
60#16837338C2211yescharacteristic, complemented
61#16837335C2211yescharacteristic, complemented
62#16837334C2211yescharacteristic, complemented
63#16837331C2211yescharacteristic, complemented
64#16837330C2211yescharacteristic, complemented
65#16837330C2211yescharacteristic, complemented
66#16837329C2211yescharacteristic, complemented
67#16837329C2211yescharacteristic, complemented
68#16837328C2211yescharacteristic, complemented
69#16837325C2211yescharacteristic, complemented
70#16837324C2211yescharacteristic, complemented
71#16837319C2211yescharacteristic, complemented
72#16837318C2211yescharacteristic
73#16837318C2211yescharacteristic
74#16837318C2211yescharacteristic
75#16837318C2211yescharacteristic
76#16837318C2211yescharacteristic
77#16837318C2211yescharacteristic
78#16837318C2211yescharacteristic
79#16837318C2211yescharacteristic
80#16837318C2211yescharacteristic, complemented
81#16837318C2211yescharacteristic, complemented
82#16837317C2211yescharacteristic, complemented
83#16837317C2211yescharacteristic, complemented
84#16837317C2211yescharacteristic, complemented
85#16837317C2211yescharacteristic, complemented
86#16837315C2211yescharacteristic, complemented
87#16837314C2211yescharacteristic, complemented
88#16837311C2211yescharacteristic
89#16837311C2211yescharacteristic
90#16837311C2211yescharacteristic
91#16837311C2211yescharacteristic
92#16837311C2211yescharacteristic
93#16837311C2211yescharacteristic
94#16837311C2211yescharacteristic
95#16837311C2211yescharacteristic
96#16837311C2211yescharacteristic, complemented
97#16837308C2211yescharacteristic, complemented
98#16837304C2211yescharacteristic, complemented
99#16837304C2211yescharacteristic, complemented
100#16837303C2211yescharacteristic, complemented
101#16837303C2211yescharacteristic, complemented
102#16837302C2211yescharacteristic, complemented
103#16837302C2211yescharacteristic, complemented
104#16837301C2211yescharacteristic, complemented
105#16837296C2211yescharacteristic, complemented
106#16837295C2211yescharacteristic, complemented
107#16837295C2211yescharacteristic, complemented
108#16837295C2211yescharacteristic, complemented
109#16837294C2211yescharacteristic, complemented
110#16837294C2211yescharacteristic, complemented
111#16837294C2211yescharacteristic, complemented
112#16837293C2211yescharacteristic, complemented
113#16837293C2211yescharacteristic, complemented
114#16837293C2211yescharacteristic, complemented
115#16837293C2211yescharacteristic, complemented
116#16837292C2211yescharacteristic, complemented
117#16837292C2211yescharacteristic, complemented
118#16837291C2211yescharacteristic, complemented
119#16837291C2211yescharacteristic, complemented
120#16837290C2211yescharacteristic, complemented
121#16837289C2211yescharacteristic, complemented
122#16837288C2211yescharacteristic, complemented
123#16837288C2211yescharacteristic, complemented
124#16837285C2211yescharacteristic, complemented
125#16837283C2211yescharacteristic, complemented
126#16837281C2211yescharacteristic
127#16837280C2211yescharacteristic, complemented
128#16837280C2211yescharacteristic, complemented
129#16837280C2211yescharacteristic, complemented
130#16837280C2211yescharacteristic, complemented
131#16837280C2211yescharacteristic, complemented
132#16837280C2211yescharacteristic, complemented
133#16837280C2211yescharacteristic, complemented
134#16837280C2211yescharacteristic, complemented
135#16837280C2211yescharacteristic, complemented
136#16837279C2211yescharacteristic
137#16837279C2211yescharacteristic
138#16837279C2211yescharacteristic
139#16837278C2211yescharacteristic
140#16837278C2211yescharacteristic
141#16837278C2211yescharacteristic
142#16837278C2211yescharacteristic
143#16837278C2211yescharacteristic
144#16837278C2211yescharacteristic
145#16837278C2211yescharacteristic
146#16837278C2211yescharacteristic
147#16837278C2211yescharacteristic, complemented
148#16837278C2211yescharacteristic, complemented
149#16837277C2211yescharacteristic
150#16837276C2211yescharacteristic, complemented
151#16837276C2211yescharacteristic, complemented
152#16837275C2211yescharacteristic
153#16837273C2211yescharacteristic, complemented
154#16837273C2211yescharacteristic, complemented
155#16837273C2211yescharacteristic, complemented
156#16837269C2211yescharacteristic, complemented
157#16837268C2211yescharacteristic, complemented
158#16837264C2211yescharacteristic, complemented
159#16837263C2211yescharacteristic
160#16837263C2211yescharacteristic
161#16837261C2211yescharacteristic, complemented
162#16837261C2211yescharacteristic, complemented
163#16837260C2211yescharacteristic
164#16837259C2211yescharacteristic, complemented
165#16837259C2211yescharacteristic, complemented
166#16837259C2211yescharacteristic, complemented
167#16837257C2211yescharacteristic
168#16837257C2211yescharacteristic
169C22⋊C4×Dic59C2211yescharacteristic
170C2×C59⋊#95C2211yescharacteristic
171C2×C59⋊#95C2211yescharacteristic
172C2×#126×C59C2211yescharacteristic, complemented
173C22×C22⋊C4×C59C2211yescharacteristic
174C59×#397C2211yescharacteristic, complemented
175C59×#397C2211yescharacteristic, complemented
176C59×#397C2211yescharacteristic, complemented
177C59×#396C2211yescharacteristic, complemented
178C59×#388C2211yescharacteristic, complemented
179C59×#388C2211yescharacteristic, complemented
180C59×#388C2211yescharacteristic, complemented
181C59×#385C2211yescharacteristic
182C59×#385C2211yescharacteristic
183C59×#380C2211yescharacteristic
184C59×#379C2211yescharacteristic
185C59×#379C2211yescharacteristic
186C4×C22⋊C4×C59C2211yescharacteristic
187C24×D59C2311yescharacteristic
188C22×Dic118C2311yescharacteristic
189C22×D236C2311yescharacteristic
190C22×D236C2311yescharacteristic
191C22×D236C2311yescharacteristic
192C22×D236C2311yescharacteristic
193C22×D236C2311yescharacteristic
194C22×C22⋊D59—24no—
195C22×C22⋊D59—42no—
196C22×C22⋊D59—42no—
197C22×C22⋊D59C2311yescharacteristic
198C22×C22⋊D59C2311yescharacteristic
199C22×C22⋊D59C2311yescharacteristic
200C22×C22⋊D59C2311yescharacteristic
201C22×C22⋊D59C2311yescharacteristic
202C22×C22⋊D59C2311yescharacteristic
203C22×C22⋊D59C2311yescharacteristic
204C22×C22⋊D59C2311yescharacteristic
205C22×C22⋊D59C2311yescharacteristic
206C22×C22⋊D59C2311yescharacteristic
207C23×Dic59C2311yescharacteristic
208C23×Dic59C2311yescharacteristic
209C23×Dic59C2311yescharacteristic
210C22×C4×D59—42no—
211C22×C4×D59—42no—
212C22×C4×D59—42no—
213C22×C4×D59C2311yescharacteristic
214C22×C4×D59C2311yescharacteristic
215C22×C4×D59C2311yescharacteristic
216C22×C4×D59C2311yescharacteristic
217C22×C4×D59C2311yescharacteristic
218C22×C4×D59C2311yescharacteristic
219#14273713—42no—
220#14273711—42no—
221#14273711—42no—
222#14273709—42no—
223#14273705—42no—
224#14273705—42no—
225#14273704—42no—
226#14273702—42no—
227#14273702—42no—
228#14273701—42no—
229#14273700—42no—
230#14273697—24no—
231#14273697—24no—
232#14273696—42no—
233#14273696—42no—
234C4×C22⋊D59—42no—
235(C22⋊D59)⋊C4—42no—
236C2×C4⋊Dic59C2311yescharacteristic
237C2×C4⋊Dic59C2311yescharacteristic
238C2×C4⋊Dic59C2311yescharacteristic
239C2×C4⋊Dic59C2311yescharacteristic
240C2×C4⋊Dic59C2311yescharacteristic
241C2×C4⋊Dic59C2311yescharacteristic
242C2×C4⋊Dic59C2311yescharacteristic
243C2×C4⋊Dic59C2311yescharacteristic
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×C22⋊Dic59—42no—
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×(C2×D59)⋊C4—42no—
264C2×(C2×D59)⋊C4C2311yescharacteristic
265C2×(C2×D59)⋊C4C2311yescharacteristic
266C2×(C2×D59)⋊C4C2311yescharacteristic
267C2×(C2×D59)⋊C4C2311yescharacteristic
268C2×(C2×D59)⋊C4C2311yescharacteristic
269C2×(C2×D59)⋊C4C2311yescharacteristic
270C2×(C2×D59)⋊C4C2311yescharacteristic
271C2×(C2×D59)⋊C4C2311yescharacteristic
272C2×(C2×D59)⋊C4C2311yescharacteristic
273C2×(C2×D59)⋊C4C2311yescharacteristic
274C2×(C2×D59)⋊C4C2311yescharacteristic
275C2×(C2×D59)⋊C4C2311yescharacteristic
276C2×(C2×D59)⋊C4C2311yescharacteristic
277C2×(C2×D59)⋊C4C2311yescharacteristic
278C2×(C2×D59)⋊C4C2311yescharacteristic
279C2×(C2×D59)⋊C4C2311yescharacteristic
280C2×(C2×D59)⋊C4C2311yescharacteristic
281C2×(C2×D59)⋊C4C2311yescharacteristic
282C2×(C2×D59)⋊C4C2311yescharacteristic
283C2×(C2×D59)⋊C4C2311yescharacteristic
284C2×(C2×D59)⋊C4C2311yescharacteristic
285C2×(C2×D59)⋊C4C2311yescharacteristic
286C2×(C2×D59)⋊C4C2311yescharacteristic
287C2×(C2×D59)⋊C4C2311yescharacteristic
288C2×(C2×D59)⋊C4C2311yescharacteristic
289C2×(C2×D59)⋊C4C2311yescharacteristic
290C2×(C2×D59)⋊C4C2311yescharacteristic
291C2×(C2×D59)⋊C4C2311yescharacteristic
292C2×(C2×D59)⋊C4C2311yescharacteristic
293C2×(C2×D59)⋊C4C2311yescharacteristic
294C2×(C2×D59)⋊C4C2311yescharacteristic
295C2×(C2×D59)⋊C4C2311yescharacteristic
296C2×C4×Dic59C2311yescharacteristic
297C2×C4×Dic59C2311yescharacteristic
298C2×C4×Dic59C2311yescharacteristic
299C2×C4×Dic59C2311yescharacteristic
300C59⋊#95C2311yescharacteristic
301C59⋊#95C2311yescharacteristic
302C59⋊#95C2311yescharacteristic
303C59⋊#95C2311yescharacteristic
304C59⋊#95C2311yescharacteristic
305C59⋊#95C2311yescharacteristic
306C59⋊#95C2311yescharacteristic
307C59⋊#95C2311yescharacteristic
308C59⋊#95C2311yescharacteristic
309C59⋊#95C2311yescharacteristic
310C59⋊#95C2311yescharacteristic
311C59⋊#95C2311yescharacteristic
312C59⋊#95C2311yescharacteristic
313C59⋊#95C2311yescharacteristic
314C59⋊#95C2311yescharacteristic
315C59⋊#95C2311yescharacteristic
316C59⋊#95C2311yescharacteristic
317C59⋊#95C2311yescharacteristic
318C59⋊#95C2311yescharacteristic
319C59⋊#95C2311yescharacteristic
320C59⋊#95C2311yescharacteristic
321C59⋊#95C2311yescharacteristic
322C59⋊#95C2311yescharacteristic
323C59⋊#95C2311yescharacteristic
324C59⋊#95C2311yescharacteristic
325C59⋊#95C2311yescharacteristic
326C59⋊#95C2311yescharacteristic
327C59⋊#95C2311yescharacteristic
328C59⋊#95C2311yescharacteristic
329C59⋊#95C2311yescharacteristic
330C59⋊#95C2311yescharacteristic
331C59⋊#95C2311yescharacteristic
332C25×C59C2311yescharacteristic
333C23×C4×C59C2311yescharacteristic
334C23×C4×C59C2311yescharacteristic
335#126×C59—42no—
336C2×C4⋊C4×C59C2311yescharacteristic
337C2×C4⋊C4×C59C2311yescharacteristic
338C2×C4⋊C4×C59C2311yescharacteristic
339C2×C4⋊C4×C59C2311yescharacteristic
340C2×C4⋊C4×C59C2311yescharacteristic
341C2×C4⋊C4×C59C2311yescharacteristic
342C2×C22⋊C4×C59—42no—
343C2×C22⋊C4×C59C2311yescharacteristic
344C2×C22⋊C4×C59C2311yescharacteristic
345C2×C22⋊C4×C59C2311yescharacteristic
346C2×C22⋊C4×C59C2311yescharacteristic
347C2×C22⋊C4×C59C2311yescharacteristic
348C2×C22⋊C4×C59C2311yescharacteristic
349C2×C22⋊C4×C59C2311yescharacteristic
350C2×C22⋊C4×C59C2311yescharacteristic
351C2×C22⋊C4×C59C2311yescharacteristic
352C2×C22⋊C4×C59C2311yescharacteristic
353C2×C22⋊C4×C59C2311yescharacteristic
354C2×C22⋊C4×C59C2311yescharacteristic
355C2×C22⋊C4×C59C2311yescharacteristic
356C2×C22⋊C4×C59C2311yescharacteristic
357C2×C22⋊C4×C59C2311yescharacteristic
358C2×C22⋊C4×C59C2311yescharacteristic
359C2×C42×C59C2311yescharacteristic
360C2×C42×C59C2311yescharacteristic
361#95×C59C2311yescharacteristic
362#95×C59C2311yescharacteristic
363#95×C59C2311yescharacteristic
364#95×C59C2311yescharacteristic
365#95×C59C2311yescharacteristic
366#95×C59C2311yescharacteristic
367#95×C59C2311yescharacteristic
368#95×C59C2311yescharacteristic
369C24×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
379C23×D59—22no—
380C23×D59—22no—
381C23×D59—41no—
382C23×D59—41no—
383C23×D59—41no—
384C23×D59—41no—
385C23×D59#4114yes—
386C23×D59C2411yescharacteristic
387C23×D59C2411yescharacteristic
388C23×D59C2411yescharacteristic
389C23×D59C2411yescharacteristic
390C22×C4×C59—22no—
391C22×C4×C59—22no—
392C22×C4×C59—22no—
393C22×C4×C59—41no—
394C22×C4×C59—41no—
395C22×C4×C59—41no—
396C22×C4×C59C2411yescharacteristic
397C22×C4×C59C2411yescharacteristic
398C22×C4×C59C2411yescharacteristic
399C22×C4×C59C2411yescharacteristic
400C22×C4×C59C2411yescharacteristic
401C22×C4×C59C2411yescharacteristic
402C22×C4×C59C2411yescharacteristic
403C22×C4×C59C2411yescharacteristic
404C22×C4×C59C2411yescharacteristic
405C22×C4×C59C2411yescharacteristic
406C22×C4×C59C2411yescharacteristic
407C22×C4×C59C2411yescharacteristic
408C2×C22⋊D59—22no—
409C2×C22⋊D59—22no—
410C2×C22⋊D59—22no—
411C2×C22⋊D59—22no—
412C2×C22⋊D59—22no—
413C2×C22⋊D59—22no—
414C2×C22⋊D59—22no—
415C2×C22⋊D59—22no—
416C2×C22⋊D59—22no—
417C2×C22⋊D59—22no—
418C2×C22⋊D59—41no—
419C2×C22⋊D59—41no—
420C2×C22⋊D59—41no—
421C2×C22⋊D59—41no—
422C2×C22⋊D59—41no—
423C2×C22⋊D59—41no—
424C2×C22⋊D59—41no—
425C2×C22⋊D59—41no—
426C2×C22⋊D59—41no—
427C2×C22⋊D59—41no—
428C2×C22⋊D59—41no—
429C2×C22⋊D59—41no—
430C2×C22⋊D59—41no—
431C2×C22⋊D59—41no—
432C2×C22⋊D59—41no—
433C2×C22⋊D59—41no—
434C2×C22⋊D59—41no—
435C2×C22⋊D59—41no—
436C2×C22⋊D59—41no—
437C2×C22⋊D59—41no—
438C2×C22⋊D59—416no—
439C22×Dic59—22no—
440C22×Dic59—22no—
441C22×Dic59—22no—
442C22×Dic59—22no—
443C22×Dic59—22no—
444C22×Dic59—22no—
445C22×Dic59—41no—
446C22×Dic59—41no—
447C22×Dic59—41no—
448C22×Dic59C2411yescharacteristic
449C22×Dic59C2411yescharacteristic
450C22×Dic59C2411yescharacteristic
451C22×Dic59C2411yescharacteristic
452C22×Dic59C2411yescharacteristic
453C22×Dic59C2411yescharacteristic
454C22×Dic59C2411yescharacteristic
455C22×Dic59C2411yescharacteristic
456C22×Dic59C2411yescharacteristic
457C22×Dic59C2411yescharacteristic
458C22×Dic59C2411yescharacteristic
459C22×Dic59C2411yescharacteristic
460C2×D236—22no—
461C2×D236—22no—
462C2×D236—22no—
463C2×D236—22no—
464C2×D236—22no—
465C2×D236—41no—
466C2×D236—41no—
467C2×D236—41no—
468C2×D236—41no—
469C2×D236—41no—
470C2×D236—41no—
471C2×D236—41no—
472C2×D236—41no—
473C2×D236—41no—
474C2×D236—41no—
475C2×C4×D59—22no—
476C2×C4×D59—22no—
477C2×C4×D59—22no—
478C2×C4×D59—22no—
479C2×C4×D59—41no—
480C2×C4×D59—41no—
481C2×C4×D59—41no—
482C2×C4×D59—41no—
483C2×C4×D59—41no—
484C2×C4×D59—41no—
485C2×C4×D59—41no—
486C2×C4×D59—41no—
487C2×C4×D59—416no—
488C2×C4×D59—41no—
489C2×C4×D59—41no—
490C2×C4×D59—41no—
491C2×C4×D59—41no—
492C2×C4×D59—41no—
493C2×C4×D59—41no—
494C2×Dic118—22no—
495C2×Dic118—41no—
496C2×Dic118—41no—
497C4⋊C4×C59—22no—
498C4⋊C4×C59—22no—
499C4⋊C4×C59—41no—
500C4⋊C4×C59—41no—
501C4⋊C4×C59—41no—
502C4⋊C4×C59—41no—
503C22⋊C4×C59—22no—
504C22⋊C4×C59—22no—
505C22⋊C4×C59—22no—
506C22⋊C4×C59—22no—
507C22⋊C4×C59—22no—
508C22⋊C4×C59—22no—
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—
516C22⋊C4×C59—41no—
517C22⋊C4×C59—41no—
518C22⋊C4×C59—41no—
519C42×C59—41no—
520C42×C59—41no—
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—
531(C2×D59)⋊C4—22no—
532(C2×D59)⋊C4—22no—
533(C2×D59)⋊C4—22no—
534(C2×D59)⋊C4—22no—
535(C2×D59)⋊C4—22no—
536(C2×D59)⋊C4—22no—
537(C2×D59)⋊C4—41no—
538(C2×D59)⋊C4—41no—
539(C2×D59)⋊C4—41no—
540(C2×D59)⋊C4—41no—
541(C2×D59)⋊C4—41no—
542(C2×D59)⋊C4—41no—
543(C2×D59)⋊C4—41no—
544(C2×D59)⋊C4—41no—
545(C2×D59)⋊C4—41no—
546(C2×D59)⋊C4—41no—
547(C2×D59)⋊C4—41no—
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—
560(C2×D59)⋊C4—41no—
561(C2×D59)⋊C4—41no—
562(C2×D59)⋊C4—41no—
563C4⋊Dic59—41no—
564C4⋊Dic59—41no—
565C4⋊Dic59—41no—
566C4⋊Dic59—41no—
567C4⋊Dic59—41no—
568C4⋊Dic59—41no—
569C4⋊Dic59—41no—
570C4⋊Dic59—41no—
571Dic59⋊C4—22no—
572Dic59⋊C4—22no—
573Dic59⋊C4—41no—
574Dic59⋊C4—41no—
575Dic59⋊C4—41no—
576Dic59⋊C4—41no—
577Dic59⋊C4—41no—
578Dic59⋊C4—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—44no—
602C23×C59—44no—
603C23×C59—44no—
604C23×C59—82no—
605C23×C59—82no—
606C23×C59—82no—
607C23×C59—82no—
608C23×C59C2×#4112yes—
609C23×C59H(5,𝔽2)12yes—
610C23×C59H(5,𝔽2)12yes—
611C23×C59C2511yescharacteristic
612C22×D59—28no—
613C22×D59—21no—
614C22×D59—21no—
615C22×D59—21no—
616C22×D59—21no—
617C22×D59—21no—
618C22×D59—21no—
619C22×D59—21no—
620C22×D59—21no—
621C22×D59—21no—
622C22×D59—21no—
623C22×D59—21no—
624C22×D59—21no—
625C22×D59—21no—
626C22×D59—21no—
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—
647C2×C4×C59—21no—
648C2×C4×C59—21no—
649C2×C4×C59—21no—
650C2×C4×C59—21no—
651C2×C4×C59—21no—
652C2×C4×C59—21no—
653C2×C4×C59—21no—
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—44no—
683C2×C4×C59—82no—
684C2×C4×C59H(5,𝔽2)12yes—
685C22⋊D59—44no—
686C22⋊D59—44no—
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—44no—
731C2×Dic59—44no—
732C2×Dic59—82no—
733C2×Dic59H(5,𝔽2)12yes—
734D236—82no—
735D236—82no—
736D236—82no—
737D236—82no—
738D236—82no—
739C4×D59—44no—
740C4×D59—44no—
741C4×D59—44no—
742C4×D59—44no—
743C4×D59—82no—
744C4×D59—82no—
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—88no—
768C22×C59#53814yes—
769C22×C59C22×#4111yescharacteristic
770C22×C59C2×H(5,𝔽2)11yescharacteristic
771C22×C59C2×H(5,𝔽2)11yescharacteristic
772C22×C59C2×H(5,𝔽2)11yescharacteristic
773C22×C59C2×H(5,𝔽2)11yescharacteristic
774C22×C59#58511yescharacteristic
775C22×C59#58511yescharacteristic
776C2×D59—22no—
777C2×D59—22no—
778C2×D59—22no—
779C2×D59—22no—
780C2×D59—22no—
781C2×D59—22no—
782C2×D59—416no—
783C2×D59—41no—
784C2×D59—41no—
785C2×D59—41no—
786C2×D59—41no—
787C2×D59—41no—
788C2×D59—41no—
789C2×D59—41no—
790C2×D59—41no—
791C2×D59—41no—
792C2×D59—41no—
793C2×D59—41no—
794C2×D59—41no—
795C2×D59—41no—
796C2×D59—41no—
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—
815C4×C59—41no—
816C4×C59—41no—
817Dic59—22no—
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#2480D5911yescharacteristic, complemented
852#2472—591no—
853#2425—591no—
854#2424—591no—
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×C59C2×#53811yescharacteristic
864C2×C59#350511yescharacteristic
865C2×C59#350511yescharacteristic
866C2×C59#353211yescharacteristic
867C2×C59#353311yescharacteristic
868C2×C59#354211yescharacteristic
869C2×C59#354211yescharacteristic
870D59—42no—
871D59—42no—
872D59—81no—
873D59—81no—
874C23×D4—591no—
875C24×C4—591no—
876C2×#126C2×D5911yescharacteristic, complemented
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×#121—591no—
887C2×#121—591no—
888C2×#120—591no—
889C2×#120—591no—
890C2×#120—591no—
891C2×#120—591no—
892C2×C4×D4—591no—
893C2×C4×D4—591no—
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#397C2×D5911yescharacteristic, complemented
914#397C2×D5911yescharacteristic, complemented
915#397C2×D5911yescharacteristic, complemented
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#394—591no—
933#394—591no—
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#392—591no—
945#391—591no—
946#390—591no—
947#390—591no—
948#390—591no—
949#390—591no—
950#390—591no—
951#390—591no—
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#388C2×D5911yescharacteristic, complemented
970#388C2×D5911yescharacteristic, complemented
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#386—591no—
999#386—591no—
1000#385—591no—
1001#385—591no—
1002#385—591no—
1003#385—591no—
1004#385—591no—
1005#385—591no—
1006#385—591no—
1007#385C2×D5911yescharacteristic
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#380C2×D5911yescharacteristic
1021#379—591no—
1022#379—591no—
1023#379C2×D5911yescharacteristic
1024#379C2×D5911yescharacteristic
1025C4×C22⋊C4—591no—
1026C4×C22⋊C4C2×D5911yescharacteristic
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—591no—
1042C22×D4—591no—
1043C22×D4—591no—
1044C22×D4—591no—
1045C22×D4—591no—
1046C22×D4—591no—
1047C22×D4—591no—
1048C22×D4—1184no—
1049C22×D4—2362no—
1050C22×D4—2362no—
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—591no—
1060C23×C4—2362no—
1061C23×C4—2362no—
1062C23×C4—2362no—
1063C23×C4C22×D5911yescharacteristic
1064C23×C4C22×D5911yescharacteristic
1065#126—42no—
1066#124—2362no—
1067#123—2362no—
1068#123—2362no—
1069#123—2362no—
1070C22⋊Q8—2362no—
1071C22⋊Q8—2362no—
1072C22⋊Q8—2362no—
1073#121—2362no—
1074#121—2362no—
1075#121—2362no—
1076#121—2362no—
1077#120—1184no—
1078#120—1184no—
1079#120—2362no—
1080#120—2362no—
1081C4×D4—2362no—
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⋊C4C22×D5911yescharacteristic
1100C2×C4⋊C4C22×D5911yescharacteristic
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—2362no—
1149C2×C22⋊C4—2362no—
1150C2×C22⋊C4C22×D5911yescharacteristic
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×C42C22×D5911yescharacteristic
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#95C22×D5911yescharacteristic
1205#95C22×D5911yescharacteristic
1206#95C22×D5911yescharacteristic
1207#95C22×D5911yescharacteristic
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—591no—
1223C24—591no—
1224C24—1182no—
1225C24—1182no—
1226C24—2361no—
1227C24—2361no—
1228C24—2361no—
1229C24—2361no—
1230C24C23×D5911yescharacteristic
1231C24C23×D5911yescharacteristic
1232C24C23×D5911yescharacteristic
1233C2×Q8—1182no—
1234C2×Q8—2361no—
1235C2×Q8—2361no—
1236C2×D4—1182no—
1237C2×D4—1182no—
1238C2×D4—1182no—
1239C2×D4—1182no—
1240C2×D4—1182no—
1241C2×D4—1182no—
1242C2×D4—1182no—
1243C2×D4—1182no—
1244C2×D4—1182no—
1245C2×D4—1182no—
1246C2×D4—1182no—
1247C2×D4—1182no—
1248C2×D4—1182no—
1249C2×D4—1182no—
1250C2×D4—1182no—
1251C2×D4—2361no—
1252C2×D4—2361no—
1253C2×D4—2361no—
1254C2×D4—2361no—
1255C2×D4—2361no—
1256C2×D4—2361no—
1257C2×D4—2361no—
1258C2×D4—2361no—
1259C2×D4—2361no—
1260C2×D4—2361no—
1261C2×D4—2361no—
1262C2×D4—2361no—
1263C2×D4—2361no—
1264C2×D4—2361no—
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—591no—
1289C22×C4—591no—
1290C22×C4—591no—
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—1182no—
1301C22×C4—1182no—
1302C22×C4—1182no—
1303C22×C4—1182no—
1304C22×C4—1182no—
1305C22×C4—1182no—
1306C22×C4—1182no—
1307C22×C4—1182no—
1308C22×C4—1182no—
1309C22×C4—1182no—
1310C22×C4—2361no—
1311C22×C4—2361no—
1312C22×C4—2361no—
1313C22×C4—2361no—
1314C22×C4—2361no—
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—2361no—
1324C22×C4—23616no—
1325C22×C4—2361no—
1326C22×C4—2361no—
1327C22×C4—2361no—
1328C22×C4C23×D5911yescharacteristic
1329C22×C4C23×D5911yescharacteristic
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—22no—
1342C4⋊C4—41no—
1343C4⋊C4—41no—
1344C4⋊C4—41no—
1345C4⋊C4—41no—
1346C4⋊C4—1182no—
1347C4⋊C4—1182no—
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—22no—
1367C22⋊C4—22no—
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—41no—
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—2361no—
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—41no—
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—44no—
1445C23—44no—
1446C23—44no—
1447C23—82no—
1448C23—82no—
1449C23—82no—
1450C23—82no—
1451C23—592no—
1452C23—592no—
1453C23—1181no—
1454C23—1181no—
1455C23—1181no—
1456C23—1181no—
1457C23—1181no—
1458C23—1181no—
1459C23—1181no—
1460C23—1181no—
1461C23—1181no—
1462C23—1181no—
1463C23—1181no—
1464C23—1181no—
1465C23—1188no—
1466C23—1181no—
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—1181no—
1480C23—2364no—
1481C23—2364no—
1482C23—2364no—
1483C23—2364no—
1484C23—2364no—
1485C23—2364no—
1486C23#41×D5912yes—
1487C23#1427377312yes—
1488C23#1427377312yes—
1489C23C24×D5911yescharacteristic
1490Q8—4722no—
1491D4—4722no—
1492D4—4722no—
1493D4—4722no—
1494D4—4722no—
1495D4—4722no—
1496D4—4722no—
1497D4—4722no—
1498D4—4722no—
1499D4—4722no—
1500D4—2364no—
1501D4—2364no—
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—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—44no—
1542C2×C4—82no—
1543C2×C4—592no—
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—4722no—
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—88no—
1610C22—1182no—
1611C22—1182no—
1612C22—1182no—
1613C22—1182no—
1614C22—1182no—
1615C22—1182no—
1616C22—23616no—
1617C22—2361no—
1618C22—2361no—
1619C22—2361no—
1620C22—2361no—
1621C22—2361no—
1622C22—2361no—
1623C22—2361no—
1624C22—2361no—
1625C22—2361no—
1626C22—2361no—
1627C22—2361no—
1628C22—2361no—
1629C22—2361no—
1630C22—2361no—
1631C22—2361no—
1632C22—2361no—
1633C22—2361no—
1634C22—2361no—
1635C22—2361no—
1636C22—2361no—
1637C22—2361no—
1638C22—2361no—
1639C22#1683799114yes—
1640C22C2×#41×D5911yescharacteristic
1641C22H(5,𝔽2)×D5911yescharacteristic
1642C22C2×#1427377211yescharacteristic
1643C22C2×#1427377311yescharacteristic
1644C22C2×#1427377311yescharacteristic
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—41no—
1658C4—41no—
1659C4—1182no—
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—4721no—
1675C2—4721no—
1676C2—2362no—
1677C2—2362no—
1678C2C2×#1683799111yescharacteristic
1679C2#2143792411yescharacteristic
1680C2#2143793411yescharacteristic
1681C2#2143824511yescharacteristic
1682C2#2143826811yescharacteristic
1683C2#2143839811yescharacteristic
1684C2#2143840511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2480C2
hypercenter#2480D59
hypocenterC59#36758
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2480

Complements

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

NH ≅ G/Ntype
1. #21432382C2semidirect
2. #21432379C2semidirect
3. #21431946C2semidirect
4. #21431763C2semidirect
5. #21431731C2semidirect
6. #21431713C2semidirect
7. #21431712C2semidirect
8. #21431416C2semidirect
9. #21431377C2semidirect
10. #21431318C2semidirect
11. #21431213C2semidirect
12. #21431090C2semidirect
13. #21430888C2semidirect
14. #21430734C2semidirect
15. #21430718C2semidirect
16. #21430648C2semidirect
17. #21430537C2semidirect
18. #21430403C2semidirect
19. #21429811C2semidirect
20. #21429811C2semidirect
21. #21428487C2semidirect
22. #21428416C2semidirect
23. #21428219C2semidirect
24. #21427645C2semidirect
25. #21427632C2semidirect
26. #21427575C2semidirect
27. #21427562C2semidirect
28. #21426756C2semidirect
29. #21426753C2semidirect
30. C2×#16837278C2semidirect
31. C59×#2480C2semidirect
34. C2×#14273713C22semidirect
37. C2×#14273709C22semidirect
38. C2×#14273705C22semidirect
39. C2×#14273705C22semidirect
41. C2×#14273702C22semidirect
42. C2×#14273702C22semidirect
44. C2×#14273700C22semidirect
53. C59⋊#401C22semidirect
54. #16837344C22semidirect
55. #16837344C22semidirect
56. #16837342C22semidirect
57. #16837342C22semidirect
58. #16837341C22semidirect
59. #16837340C22semidirect
60. #16837338C22semidirect
61. #16837335C22semidirect
62. #16837334C22semidirect
63. #16837331C22semidirect
64. #16837330C22semidirect
65. #16837330C22semidirect
66. #16837329C22semidirect
67. #16837329C22semidirect
68. #16837328C22semidirect
69. #16837325C22semidirect
70. #16837324C22semidirect
71. #16837319C22semidirect
80. #16837318C22semidirect
81. #16837318C22semidirect
82. #16837317C22semidirect
83. #16837317C22semidirect
84. #16837317C22semidirect
85. #16837317C22semidirect
86. #16837315C22semidirect
87. #16837314C22semidirect
96. #16837311C22semidirect
97. #16837308C22semidirect
98. #16837304C22semidirect
99. #16837304C22semidirect
100. #16837303C22semidirect
101. #16837303C22semidirect
102. #16837302C22semidirect
103. #16837302C22semidirect
104. #16837301C22semidirect
105. #16837296C22semidirect
106. #16837295C22semidirect
107. #16837295C22semidirect
108. #16837295C22semidirect
109. #16837294C22semidirect
110. #16837294C22semidirect
111. #16837294C22semidirect
112. #16837293C22semidirect
113. #16837293C22semidirect
114. #16837293C22semidirect
115. #16837293C22semidirect
116. #16837292C22semidirect
117. #16837292C22semidirect
118. #16837291C22semidirect
119. #16837291C22semidirect
120. #16837290C22semidirect
121. #16837289C22semidirect
122. #16837288C22semidirect
123. #16837288C22semidirect
124. #16837285C22semidirect
125. #16837283C22semidirect
127. #16837280C22semidirect
128. #16837280C22semidirect
129. #16837280C22semidirect
130. #16837280C22semidirect
131. #16837280C22semidirect
132. #16837280C22semidirect
133. #16837280C22semidirect
134. #16837280C22semidirect
135. #16837280C22semidirect
147. #16837278C22semidirect
148. #16837278C22semidirect
150. #16837276C22semidirect
151. #16837276C22semidirect
153. #16837273C22semidirect
154. #16837273C22semidirect
155. #16837273C22semidirect
156. #16837269C22semidirect
157. #16837268C22semidirect
158. #16837264C22semidirect
161. #16837261C22semidirect
162. #16837261C22semidirect
164. #16837259C22semidirect
165. #16837259C22semidirect
166. #16837259C22semidirect
172. C2×#126×C59C22semidirect
174. C59×#397C22semidirect
175. C59×#397C22semidirect
176. C59×#397C22semidirect
177. C59×#396C22semidirect
178. C59×#388C22semidirect
179. C59×#388C22semidirect
180. C59×#388C22semidirect
851. #2480D59semidirect
876. C2×#126C2×D59semidirect
913. #397C2×D59semidirect
914. #397C2×D59semidirect
915. #397C2×D59semidirect
918. #396C2×D59semidirect
969. #388C2×D59semidirect
970. #388C2×D59semidirect
971. #388C2×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
#214323792
#214319462
#214317632
#214317312
#214317132
#214317122
#214314162
#214313772
#214313182
#214312132
#214310902
#214308882
#214307342
#214307182
#214306482
#214305372
#214304032
#214298112
#214284872
#214284162
#214282192
#214276452
#214276322
#214275752
#214275622
#214267562
#214267532
C2×#168372782
C59×#24802
#3675859