Finite Group Databasebeta

← #29451856

Subgroups — #29451856

Order 15104.

2228 conjugacy classes of subgroups.

The subgroup lattice has 1630 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21430661C211yesmaximal, characteristic, complemented
2#21430660C211yesmaximal, characteristic, complemented
3#21430656C211yesmaximal, characteristic, complemented
4#21430429C211yesmaximal, characteristic
5#21429398C211yesmaximal, characteristic, complemented
6#21429396C211yesmaximal, characteristic, complemented
7#21429395C211yesmaximal, characteristic, complemented
8#21429395C211yesmaximal, characteristic, complemented
9#21429394C211yesmaximal, characteristic, complemented
10#21429295C211yesmaximal, characteristic, complemented
11#21429294C211yesmaximal, characteristic, complemented
12#21429291C211yesmaximal, characteristic, complemented
13#21428991C211yesmaximal, characteristic, complemented
14#21428987C211yesmaximal, characteristic, complemented
15#21428984C211yesmaximal, characteristic, complemented
16#21428054C211yesmaximal, characteristic, complemented
17#21428049C211yesmaximal, characteristic, complemented
18#21428047C211yesmaximal, characteristic, complemented
19#21428046C211yesmaximal, characteristic, complemented
20#21428045C211yesmaximal, characteristic, complemented
21#21428043C211yesmaximal, characteristic, complemented
22#21427228C211yesmaximal, characteristic, complemented
23#21427227C211yesmaximal, characteristic, complemented
24#21427224C211yesmaximal, characteristic, complemented
25#21427078C211yesmaximal, characteristic, complemented
26#21427076C211yesmaximal, characteristic, complemented
27#21427074C211yesmaximal, characteristic, complemented
28#21426601C211yesmaximal, characteristic, complemented
29C4×#14273697C211yesmaximal, characteristic, complemented
30#21426597C211yesmaximal, characteristic, complemented
31C59×#2576C211yesmaximal, characteristic, complemented
32C23×C4×D59C2211yescharacteristic, complemented
33C2×#14273718C2211yescharacteristic, complemented
34C2×#14273717C2211yescharacteristic, complemented
35C2×#14273717C2211yescharacteristic, complemented
36C2×#14273712C2211yescharacteristic
37C2×#14273710C2211yescharacteristic
38C2×#14273709C2211yescharacteristic
39C2×#14273697C2211yescharacteristic
40C2×#14273697C2211yescharacteristic
41C2×#14273697C2211yescharacteristic
42C2×#14273697C2211yescharacteristic
43C2×#14273695C2211yescharacteristic
44C2×#14273695C2211yescharacteristic
45C2×C4×D236C2211yescharacteristic
46C2×C4×D236C2211yescharacteristic
47C2×D4×Dic59C2211yescharacteristic
48C2×#14273689C2211yescharacteristic
49C2×#14273689C2211yescharacteristic
50C2×C4×C22⋊D59C2211yescharacteristic
51C2×(C22⋊D59)⋊C4C2211yescharacteristic
52C2×(C22⋊D59)⋊C4C2211yescharacteristic
53C2×(C22⋊D59)⋊C4C2211yescharacteristic
54C22×(C2×D59)⋊C4C2211yescharacteristic, complemented
55C2×C22⋊C4×D59C2211yescharacteristic, complemented
56C2×C22⋊C4×D59C2211yescharacteristic, complemented
57C59⋊#401C2211yescharacteristic, complemented
58#16837331C2211yescharacteristic, complemented
59#16837331C2211yescharacteristic, complemented
60#16837331C2211yescharacteristic, complemented
61#16837330C2211yescharacteristic, complemented
62#16837329C2211yescharacteristic, complemented
63#16837326C2211yescharacteristic, complemented
64#16837326C2211yescharacteristic, complemented
65#16837326C2211yescharacteristic, complemented
66#16837326C2211yescharacteristic, complemented
67#16837326C2211yescharacteristic, complemented
68#16837325C2211yescharacteristic, complemented
69#16837325C2211yescharacteristic, complemented
70#16837325C2211yescharacteristic, complemented
71#16837324C2211yescharacteristic, complemented
72#16837324C2211yescharacteristic, complemented
73#16837324C2211yescharacteristic, complemented
74#16837320C2211yescharacteristic
75#16837320C2211yescharacteristic
76#16837320C2211yescharacteristic
77#16837320C2211yescharacteristic
78#16837319C2211yescharacteristic
79#16837319C2211yescharacteristic
80#16837318C2211yescharacteristic
81#16837317C2211yescharacteristic
82#16837317C2211yescharacteristic
83#16837317C2211yescharacteristic
84#16837316C2211yescharacteristic
85#16837304C2211yescharacteristic
86#16837303C2211yescharacteristic
87#16837302C2211yescharacteristic
88#16837302C2211yescharacteristic
89#16837302C2211yescharacteristic
90#16837302C2211yescharacteristic
91#16837296C2211yescharacteristic, complemented
92#16837295C2211yescharacteristic, complemented
93#16837294C2211yescharacteristic, complemented
94#16837294C2211yescharacteristic, complemented
95#16837294C2211yescharacteristic, complemented
96#16837294C2211yescharacteristic, complemented
97#16837293C2211yescharacteristic, complemented
98#16837293C2211yescharacteristic, complemented
99#16837292C2211yescharacteristic, complemented
100#16837291C2211yescharacteristic, complemented
101#16837291C2211yescharacteristic, complemented
102#16837291C2211yescharacteristic, complemented
103#16837291C2211yescharacteristic, complemented
104#16837291C2211yescharacteristic, complemented
105#16837290C2211yescharacteristic, complemented
106#16837290C2211yescharacteristic, complemented
107#16837289C2211yescharacteristic, complemented
108#16837287C2211yescharacteristic, complemented
109#16837287C2211yescharacteristic, complemented
110#16837287C2211yescharacteristic, complemented
111#16837286C2211yescharacteristic, complemented
112#16837286C2211yescharacteristic, complemented
113#16837285C2211yescharacteristic, complemented
114#16837284C2211yescharacteristic, complemented
115#16837284C2211yescharacteristic, complemented
116#16837283C2211yescharacteristic, complemented
117#16837281C2211yescharacteristic
118#16837281C2211yescharacteristic
119#16837280C2211yescharacteristic
120#16837280C2211yescharacteristic
121#16837280C2211yescharacteristic
122#16837280C2211yescharacteristic
123#16837280C2211yescharacteristic
124#16837280C2211yescharacteristic
125#16837280C2211yescharacteristic
126#16837279C2211yescharacteristic
127#16837278C2211yescharacteristic
128#16837278C2211yescharacteristic
129#16837278C2211yescharacteristic
130#16837277C2211yescharacteristic, complemented
131#16837277C2211yescharacteristic, complemented
132#16837276C2211yescharacteristic, complemented
133#16837276C2211yescharacteristic, complemented
134#16837276C2211yescharacteristic, complemented
135#16837276C2211yescharacteristic, complemented
136#16837276C2211yescharacteristic, complemented
137#16837276C2211yescharacteristic, complemented
138#16837276C2211yescharacteristic, complemented
139#16837275C2211yescharacteristic, complemented
140#16837274C2211yescharacteristic, complemented
141#16837273C2211yescharacteristic, complemented
142#16837273C2211yescharacteristic, complemented
143#16837273C2211yescharacteristic, complemented
144#16837271C2211yescharacteristic, complemented
145#16837266C2211yescharacteristic, complemented
146#16837266C2211yescharacteristic, complemented
147#16837264C2211yescharacteristic, complemented
148#16837264C2211yescharacteristic, complemented
149#16837261C2211yescharacteristic, complemented
150#16837260C2211yescharacteristic, complemented
151#16837259C2211yescharacteristic, complemented
152#16837257C2211yescharacteristic, complemented
153#16837257C2211yescharacteristic, complemented
154#16837257C2211yescharacteristic, complemented
155#16837257C2211yescharacteristic, complemented
156C4⋊C4×Dic59C2211yescharacteristic, complemented
157C4×Dic59⋊C4C2211yescharacteristic, complemented
158#16837253C2211yescharacteristic, complemented
159C22⋊C4×Dic59C2211yescharacteristic, complemented
160C22⋊C4×Dic59C2211yescharacteristic, complemented
161C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
162C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
163C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
164C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
165C4×C22⋊Dic59C2211yescharacteristic, complemented
166#16837249C2211yescharacteristic, complemented
167#16837249C2211yescharacteristic, complemented
168#16837249C2211yescharacteristic, complemented
169#16837249C2211yescharacteristic, complemented
170#16837249C2211yescharacteristic, complemented
171#16837249C2211yescharacteristic, complemented
172C59×#401C2211yescharacteristic, complemented
173C59×#397C2211yescharacteristic, complemented
174C59×#396C2211yescharacteristic, complemented
175C59×#394C2211yescharacteristic
176C59×#388C2211yescharacteristic, complemented
177C59×#388C2211yescharacteristic, complemented
178C59×#387C2211yescharacteristic, complemented
179C59×#387C2211yescharacteristic, complemented
180C59×#386C2211yescharacteristic
181C59×#386C2211yescharacteristic
182C59×#385C2211yescharacteristic, complemented
183C59×#382C2211yescharacteristic, complemented
184C59×#381C2211yescharacteristic, complemented
185C4×C22⋊C4×C59C2211yescharacteristic, complemented
186C4×C22⋊C4×C59C2211yescharacteristic, complemented
187C24×D59C2311yescharacteristic
188C24×D59C2311yescharacteristic
189C22×D236C2311yescharacteristic
190C22×D236C2311yescharacteristic
191C22×D236C2311yescharacteristic
192C22×D236C2311yescharacteristic
193C22×C22⋊D59C2311yescharacteristic
194C22×C22⋊D59C2311yescharacteristic
195C22×C22⋊D59C2311yescharacteristic
196C22×C22⋊D59C2311yescharacteristic
197C23×Dic59C2311yescharacteristic
198C23×Dic59C2311yescharacteristic
199C22×C4×D59—42no—
200C22×C4×D59—42no—
201C22×C4×D59—42no—
202C22×C4×D59C2311yescharacteristic
203C22×C4×D59C2311yescharacteristic
204C22×C4×D59C2311yescharacteristic
205C22×C4×D59C2311yescharacteristic
206C22×C4×D59C2311yescharacteristic
207C22×C4×D59C2311yescharacteristic
208C22×C4×D59C2311yescharacteristic
209C22×C4×D59C2311yescharacteristic
210#14273718—42no—
211#14273717—42no—
212#14273717—42no—
213#14273712—24no—
214#14273710—24no—
215#14273709—24no—
216#14273697—24no—
217#14273697—24no—
218#14273697—24no—
219#14273697—24no—
220#14273695—24no—
221#14273695—24no—
222C4×D236—42no—
223C4×D236—42no—
224D4×Dic59—42no—
225#14273689—42no—
226#14273689—42no—
227C4×C22⋊D59—42no—
228(C22⋊D59)⋊C4—42no—
229(C22⋊D59)⋊C4—42no—
230(C22⋊D59)⋊C4—42no—
231C2×C4⋊Dic59C2311yescharacteristic
232C2×C4⋊Dic59C2311yescharacteristic
233C2×C4⋊Dic59C2311yescharacteristic
234C2×C4⋊Dic59C2311yescharacteristic
235C2×C4⋊Dic59C2311yescharacteristic
236C2×C4⋊Dic59C2311yescharacteristic
237C2×Dic59⋊C4C2311yescharacteristic
238C2×Dic59⋊C4C2311yescharacteristic
239C2×Dic59⋊C4C2311yescharacteristic
240C2×Dic59⋊C4C2311yescharacteristic
241C2×Dic59⋊C4C2311yescharacteristic
242C2×Dic59⋊C4C2311yescharacteristic
243C2×Dic59⋊C4C2311yescharacteristic
244C2×Dic59⋊C4C2311yescharacteristic
245C2×Dic59⋊C4C2311yescharacteristic
246C2×Dic59⋊C4C2311yescharacteristic
247C2×Dic59⋊C4C2311yescharacteristic
248C2×Dic59⋊C4C2311yescharacteristic
249C2×Dic59⋊C4C2311yescharacteristic
250C2×Dic59⋊C4C2311yescharacteristic
251C2×Dic59⋊C4C2311yescharacteristic
252C2×Dic59⋊C4C2311yescharacteristic
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×(C2×D59)⋊C4—42no—
262C2×(C2×D59)⋊C4C2311yescharacteristic
263C2×(C2×D59)⋊C4C2311yescharacteristic
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×(C2×D59)⋊C4C2311yescharacteristic
297C2×(C2×D59)⋊C4C2311yescharacteristic
298C22⋊C4×D59—42no—
299C22⋊C4×D59—42no—
300C2×C4×Dic59C2311yescharacteristic
301C2×C4×Dic59C2311yescharacteristic
302C2×C4×Dic59C2311yescharacteristic
303C2×C4×Dic59C2311yescharacteristic
304C2×C4×Dic59C2311yescharacteristic
305C2×C4×Dic59C2311yescharacteristic
306C2×C4×Dic59C2311yescharacteristic
307C2×C4×Dic59C2311yescharacteristic
308C2×C4×Dic59C2311yescharacteristic
309C2×C4×Dic59C2311yescharacteristic
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
334C22×D4×C59C2311yescharacteristic
335C23×C4×C59C2311yescharacteristic
336C23×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×C59C2311yescharacteristic
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×C42×C59C2311yescharacteristic
353C2×C42×C59C2311yescharacteristic
354C2×C42×C59C2311yescharacteristic
355#95×C59C2311yescharacteristic
356#95×C59C2311yescharacteristic
357#95×C59C2311yescharacteristic
358#95×C59C2311yescharacteristic
359#95×C59C2311yescharacteristic
360#95×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×C59C2411yescharacteristic
370C24×C59C2411yescharacteristic
371C23×D59—22no—
372C23×D59—22no—
373C23×D59—22no—
374C23×D59—22no—
375C23×D59—22no—
376C23×D59—22no—
377C23×D59—41no—
378C23×D59—41no—
379C23×D59—41no—
380C23×D59—41no—
381C23×D59—41no—
382C23×D59—41no—
383C23×D59—41no—
384C23×D59—41no—
385C23×D59C2411yescharacteristic
386C23×D59C2411yescharacteristic
387C23×D59C2411yescharacteristic
388C23×D59C2411yescharacteristic
389C2×D4×C59—22no—
390C2×D4×C59—22no—
391C2×D4×C59—41no—
392C22×C4×C59—22no—
393C22×C4×C59—22no—
394C22×C4×C59—41no—
395C22×C4×C59—41no—
396C22×C4×C59—41no—
397C22×C4×C59—41no—
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
408C22×C4×C59C2411yescharacteristic
409C22×C4×C59C2411yescharacteristic
410C22×C4×C59C2411yescharacteristic
411C2×C22⋊D59—22no—
412C2×C22⋊D59—22no—
413C2×C22⋊D59—22no—
414C2×C22⋊D59—22no—
415C2×C22⋊D59—41no—
416C2×C22⋊D59—41no—
417C2×C22⋊D59—41no—
418C2×C22⋊D59—41no—
419C2×C22⋊D59—41no—
420C2×C22⋊D59—41no—
421C2×C22⋊D59#4114yes—
422C2×C22⋊D59#4114yes—
423C22×Dic59—22no—
424C22×Dic59—22no—
425C22×Dic59—22no—
426C22×Dic59—41no—
427C22×Dic59—41no—
428C22×Dic59—41no—
429C22×Dic59C2411yescharacteristic
430C22×Dic59C2411yescharacteristic
431C22×Dic59C2411yescharacteristic
432C22×Dic59C2411yescharacteristic
433C22×Dic59C2411yescharacteristic
434C22×Dic59C2411yescharacteristic
435C22×Dic59C2411yescharacteristic
436C22×Dic59C2411yescharacteristic
437C22×Dic59C2411yescharacteristic
438C22×Dic59C2411yescharacteristic
439C22×Dic59C2411yescharacteristic
440C22×Dic59C2411yescharacteristic
441C2×D236—22no—
442C2×D236—22no—
443C2×D236—22no—
444C2×D236—22no—
445C2×D236—22no—
446C2×D236—22no—
447C2×D236—41no—
448C2×D236—41no—
449C2×D236—41no—
450C2×D236—41no—
451C2×D236—41no—
452C2×D236#4114yes—
453C2×C4×D59—22no—
454C2×C4×D59—22no—
455C2×C4×D59—22no—
456C2×C4×D59—22no—
457C2×C4×D59—22no—
458C2×C4×D59—22no—
459C2×C4×D59—22no—
460C2×C4×D59—22no—
461C2×C4×D59—22no—
462C2×C4×D59—22no—
463C2×C4×D59—41no—
464C2×C4×D59—41no—
465C2×C4×D59—41no—
466C2×C4×D59—41no—
467C2×C4×D59—41no—
468C2×C4×D59—41no—
469C2×C4×D59—416no—
470C2×C4×D59—41no—
471C2×C4×D59—41no—
472C2×C4×D59—41no—
473C2×C4×D59—41no—
474C2×C4×D59—41no—
475C2×C4×D59—41no—
476C2×C4×D59—41no—
477C2×C4×D59—41no—
478C4⋊C4×C59—22no—
479C4⋊C4×C59—22no—
480C4⋊C4×C59—41no—
481C4⋊C4×C59—41no—
482C4⋊C4×C59—41no—
483C22⋊C4×C59—22no—
484C22⋊C4×C59—22no—
485C22⋊C4×C59—22no—
486C22⋊C4×C59—22no—
487C22⋊C4×C59—22no—
488C22⋊C4×C59—22no—
489C22⋊C4×C59—41no—
490C22⋊C4×C59—41no—
491C22⋊C4×C59—41no—
492C22⋊C4×C59—41no—
493C42×C59—41no—
494C42×C59—41no—
495C42×C59—41no—
496C22⋊Dic59—22no—
497C22⋊Dic59—22no—
498C22⋊Dic59—22no—
499C22⋊Dic59—22no—
500C22⋊Dic59—22no—
501C22⋊Dic59—41no—
502C22⋊Dic59—41no—
503C22⋊Dic59—41no—
504(C2×D59)⋊C4—22no—
505(C2×D59)⋊C4—22no—
506(C2×D59)⋊C4—22no—
507(C2×D59)⋊C4—22no—
508(C2×D59)⋊C4—22no—
509(C2×D59)⋊C4—22no—
510(C2×D59)⋊C4—22no—
511(C2×D59)⋊C4—22no—
512(C2×D59)⋊C4—22no—
513(C2×D59)⋊C4—22no—
514(C2×D59)⋊C4—22no—
515(C2×D59)⋊C4—22no—
516(C2×D59)⋊C4—22no—
517(C2×D59)⋊C4—22no—
518(C2×D59)⋊C4—22no—
519(C2×D59)⋊C4—22no—
520(C2×D59)⋊C4—22no—
521(C2×D59)⋊C4—22no—
522(C2×D59)⋊C4—22no—
523(C2×D59)⋊C4—22no—
524(C2×D59)⋊C4—22no—
525(C2×D59)⋊C4—22no—
526(C2×D59)⋊C4—41no—
527(C2×D59)⋊C4—41no—
528(C2×D59)⋊C4—41no—
529(C2×D59)⋊C4—41no—
530(C2×D59)⋊C4—41no—
531(C2×D59)⋊C4—41no—
532(C2×D59)⋊C4—41no—
533(C2×D59)⋊C4—41no—
534(C2×D59)⋊C4—41no—
535(C2×D59)⋊C4—41no—
536(C2×D59)⋊C4—41no—
537(C2×D59)⋊C4—41no—
538(C2×D59)⋊C4—41no—
539(C2×D59)⋊C4—41no—
540C4⋊Dic59—22no—
541C4⋊Dic59—22no—
542C4⋊Dic59—22no—
543C4⋊Dic59—22no—
544C4⋊Dic59—41no—
545C4⋊Dic59—41no—
546Dic59⋊C4—22no—
547Dic59⋊C4—22no—
548Dic59⋊C4—22no—
549Dic59⋊C4—22no—
550Dic59⋊C4—22no—
551Dic59⋊C4—22no—
552Dic59⋊C4—41no—
553Dic59⋊C4—41no—
554Dic59⋊C4—41no—
555Dic59⋊C4—41no—
556Dic59⋊C4—41no—
557Dic59⋊C4—41no—
558Dic59⋊C4—41no—
559Dic59⋊C4—41no—
560Dic59⋊C4—41no—
561Dic59⋊C4—41no—
562C4×Dic59—22no—
563C4×Dic59—22no—
564C4×Dic59—22no—
565C4×Dic59—41no—
566C4×Dic59—41no—
567C4×Dic59—41no—
568C4×Dic59—41no—
569C4×Dic59—41no—
570C4×Dic59—41no—
571C4×Dic59—41no—
572C23×C59—21no—
573C23×C59—21no—
574C23×C59—21no—
575C23×C59—21no—
576C23×C59—21no—
577C23×C59—21no—
578C23×C59—21no—
579C23×C59—21no—
580C23×C59—21no—
581C23×C59—21no—
582C23×C59—21no—
583C23×C59—21no—
584C23×C59C2×#4112yes—
585C23×C59C2×#4112yes—
586C23×C59C2511yescharacteristic
587C22×D59—21no—
588C22×D59—21no—
589C22×D59—21no—
590C22×D59—21no—
591C22×D59—21no—
592C22×D59—21no—
593C22×D59—21no—
594C22×D59—21no—
595C22×D59—21no—
596C22×D59—21no—
597C22×D59—21no—
598C22×D59—21no—
599C22×D59—21no—
600C22×D59—21no—
601C22×D59—21no—
602C22×D59—21no—
603C22×D59—21no—
604C22×D59—21no—
605C22×D59—21no—
606C22×D59—21no—
607C22×D59—21no—
608C22×D59—21no—
609C22×D59—21no—
610C22×D59—21no—
611C22×D59—44no—
612C22×D59—44no—
613C22×D59—44no—
614C22×D59—44no—
615C22×D59—44no—
616C22×D59—44no—
617C22×D59—44no—
618C22×D59—44no—
619C22×D59—44no—
620C22×D59—44no—
621C22×D59—82no—
622C22×D59—82no—
623C22×D59—82no—
624C22×D59—82no—
625C22×D59C2×#4112yes—
626C22×D59C2×#4112yes—
627C22×D59C2×#4112yes—
628C22×D59C2×#4112yes—
629D4×C59—44no—
630C2×C4×C59—21no—
631C2×C4×C59—21no—
632C2×C4×C59—21no—
633C2×C4×C59—21no—
634C2×C4×C59—21no—
635C2×C4×C59—21no—
636C2×C4×C59—21no—
637C2×C4×C59—21no—
638C2×C4×C59—21no—
639C2×C4×C59—21no—
640C2×C4×C59—21no—
641C2×C4×C59—21no—
642C2×C4×C59—21no—
643C2×C4×C59—21no—
644C2×C4×C59—21no—
645C2×C4×C59—21no—
646C2×C4×C59—21no—
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—44no—
668C2×C4×C59—82no—
669C2×C4×C59C2×#4112yes—
670C2×C4×C59H(5,𝔽2)12yes—
671C22⋊D59—44no—
672C22⋊D59—44no—
673C22⋊D59—44no—
674C22⋊D59—44no—
675C2×Dic59—21no—
676C2×Dic59—21no—
677C2×Dic59—21no—
678C2×Dic59—21no—
679C2×Dic59—21no—
680C2×Dic59—21no—
681C2×Dic59—21no—
682C2×Dic59—21no—
683C2×Dic59—21no—
684C2×Dic59—21no—
685C2×Dic59—21no—
686C2×Dic59—21no—
687C2×Dic59—21no—
688C2×Dic59—21no—
689C2×Dic59—21no—
690C2×Dic59—21no—
691C2×Dic59—21no—
692C2×Dic59—21no—
693C2×Dic59—21no—
694C2×Dic59—21no—
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—44no—
708C2×Dic59—82no—
709C2×Dic59C2×#4112yes—
710C2×Dic59C2×#4112yes—
711C2×Dic59H(5,𝔽2)12yes—
712C2×Dic59H(5,𝔽2)12yes—
713D236—44no—
714D236—44no—
715D236—44no—
716D236—44no—
717C4×D59—44no—
718C4×D59—44no—
719C4×D59—44no—
720C4×D59—44no—
721C4×D59—82no—
722C4×D59—82no—
723C4×D59—82no—
724C4×D59—82no—
725#60037—591nomaximal, Sylow
726C22×C59—22no—
727C22×C59—22no—
728C22×C59—22no—
729C22×C59—22no—
730C22×C59—22no—
731C22×C59—22no—
732C22×C59—41no—
733C22×C59—41no—
734C22×C59—41no—
735C22×C59—41no—
736C22×C59—41no—
737C22×C59—41no—
738C22×C59—41no—
739C22×C59—41no—
740C22×C59C22×#4111yescharacteristic
741C22×C59C22×#4111yescharacteristic
742C22×C59C22×#4111yescharacteristic
743C22×C59C2×H(5,𝔽2)11yescharacteristic
744C22×C59C2×H(5,𝔽2)11yescharacteristic
745C22×C59C2×H(5,𝔽2)11yescharacteristic
746C22×C59#58511yescharacteristic
747C2×D59—22no—
748C2×D59—22no—
749C2×D59—22no—
750C2×D59—22no—
751C2×D59—22no—
752C2×D59—22no—
753C2×D59—22no—
754C2×D59—22no—
755C2×D59—22no—
756C2×D59—22no—
757C2×D59—22no—
758C2×D59—22no—
759C2×D59—416no—
760C2×D59—41no—
761C2×D59—41no—
762C2×D59—41no—
763C2×D59—41no—
764C2×D59—41no—
765C2×D59—41no—
766C2×D59—41no—
767C2×D59—41no—
768C2×D59—41no—
769C2×D59—41no—
770C2×D59—41no—
771C2×D59—41no—
772C2×D59—41no—
773C2×D59—41no—
774C2×D59—41no—
775C2×D59—41no—
776C2×D59—88no—
777C4×C59—22no—
778C4×C59—22no—
779C4×C59—41no—
780C4×C59—41no—
781C4×C59—41no—
782C4×C59—41no—
783C4×C59—41no—
784C4×C59—41no—
785C4×C59—41no—
786C4×C59—41no—
787C4×C59—41no—
788C4×C59—41no—
789C4×C59—41no—
790Dic59—22no—
791Dic59—22no—
792Dic59—22no—
793Dic59—22no—
794Dic59—41no—
795Dic59—41no—
796Dic59—41no—
797Dic59—41no—
798Dic59—41no—
799Dic59—41no—
800Dic59—41no—
801Dic59—41no—
802#2697—591no—
803#2697—591no—
804#2697—591no—
805#2679—591no—
806#2576—591no—
807#2576—591no—
808#2576—591no—
809#2576—591no—
810#2576—591no—
811#2576D5911yescharacteristic, complemented
812#2566—591no—
813#2566—591no—
814#2566—591no—
815#2534—591no—
816#2534—591no—
817#2534—591no—
818#2460—591no—
819#2460—591no—
820#2460—591no—
821#2460—591no—
822#2460—591no—
823#2460—591no—
824#2374—591no—
825#2374—591no—
826#2374—591no—
827#2358—591no—
828#2358—591no—
829#2358—591no—
830C4×#120—591no—
831C4×#120—591no—
832C4×#120—591no—
833C2×C59—42no—
834C2×C59—42no—
835C2×C59#348111yescharacteristic
836C2×C59#348111yescharacteristic
837C2×C59#348111yescharacteristic
838C2×C59#350511yescharacteristic
839C2×C59#350511yescharacteristic
840C2×C59#350511yescharacteristic
841C2×C59#353211yescharacteristic
842D59—42no—
843D59—42no—
844D59—42no—
845D59—42no—
846C24×C4—591no—
847C2×#125—591no—
848C2×#125—591no—
849C2×#125—591no—
850C2×#123—591no—
851C2×#123—591no—
852C2×#123—591no—
853C2×#120—591no—
854C2×#120—591no—
855C2×#120—591no—
856C2×#120—591no—
857C2×#120—591no—
858C2×#120—591no—
859C2×C4×D4—591no—
860C2×C4×D4—591no—
861C2×C4×D4—591no—
862C2×C4×D4—591no—
863C2×C4×D4—591no—
864C2×C4×D4—591no—
865C2×C4×D4—591no—
866C2×C4×D4—591no—
867C2×C4×D4—591no—
868C22×C22⋊C4—591no—
869C22×C22⋊C4—591no—
870C22×C22⋊C4—591no—
871#401—591no—
872#401C2×D5911yescharacteristic, complemented
873#397—591no—
874#397—591no—
875#397—591no—
876#397—591no—
877#397—591no—
878#397C2×D5911yescharacteristic, complemented
879#396—591no—
880#396—591no—
881#396—591no—
882#396—591no—
883#396—591no—
884#396—591no—
885#396—591no—
886#396—591no—
887#396—591no—
888#396—591no—
889#396—591no—
890#396C2×D5911yescharacteristic, complemented
891#394—591no—
892#394—591no—
893#394—591no—
894#394—591no—
895#394—591no—
896#394—591no—
897#394—591no—
898#394—591no—
899#394—591no—
900#394—591no—
901#394—591no—
902#394C2×D5911yescharacteristic
903#390—591no—
904#390—591no—
905#390—591no—
906#390—591no—
907#390—591no—
908#390—591no—
909#388—591no—
910#388—591no—
911#388—591no—
912#388—591no—
913#388—591no—
914#388—591no—
915#388—591no—
916#388—591no—
917#388—591no—
918#388—591no—
919#388—591no—
920#388—591no—
921#388—591no—
922#388—591no—
923#388—591no—
924#388—591no—
925#388C2×D5911yescharacteristic, complemented
926#388C2×D5911yescharacteristic, complemented
927#387—591no—
928#387—591no—
929#387—591no—
930#387—591no—
931#387—591no—
932#387—591no—
933#387—591no—
934#387—591no—
935#387—591no—
936#387—591no—
937#387C2×D5911yescharacteristic, complemented
938#387C2×D5911yescharacteristic, complemented
939#386—591no—
940#386—591no—
941#386—591no—
942#386—591no—
943#386—591no—
944#386—591no—
945#386—591no—
946#386—591no—
947#386—591no—
948#386—591no—
949#386—591no—
950#386—591no—
951#386—591no—
952#386C2×D5911yescharacteristic
953#386C2×D5911yescharacteristic
954#385—591no—
955#385—591no—
956#385—591no—
957#385—591no—
958#385—591no—
959#385—591no—
960#385—591no—
961#385—591no—
962#385—591no—
963#385—591no—
964#385—591no—
965#385—591no—
966#385—591no—
967#385—591no—
968#385C2×D5911yescharacteristic, complemented
969#384—591no—
970#382—591no—
971#382—591no—
972#382C2×D5911yescharacteristic, complemented
973#381—591no—
974#381—591no—
975#381C2×D5911yescharacteristic, complemented
976#380—591no—
977#380—591no—
978#380—591no—
979#379—591no—
980#379—591no—
981#379—591no—
982#379—591no—
983C4×C4⋊C4—591no—
984C4×C4⋊C4—591no—
985C4×C4⋊C4—591no—
986C4×C22⋊C4—591no—
987C4×C22⋊C4—591no—
988C4×C22⋊C4—591no—
989C4×C22⋊C4—591no—
990C4×C22⋊C4—591no—
991C4×C22⋊C4—591no—
992C4×C22⋊C4—591no—
993C4×C22⋊C4—591no—
994C4×C22⋊C4—591no—
995C4×C22⋊C4—591no—
996C4×C22⋊C4—591no—
997C4×C22⋊C4—591no—
998C4×C22⋊C4—591no—
999C4×C22⋊C4C2×D5911yescharacteristic, complemented
1000C4×C22⋊C4C2×D5911yescharacteristic, complemented
1001C59#6003711yescharacteristic, complemented, Sylow
1002C25—591no—
1003C25—591no—
1004C22×D4—591no—
1005C22×D4—591no—
1006C22×D4—591no—
1007C22×D4—591no—
1008C22×D4—591no—
1009C22×D4—591no—
1010C22×D4—591no—
1011C22×D4—591no—
1012C22×D4C22×D5911yescharacteristic
1013C23×C4—591no—
1014C23×C4—591no—
1015C23×C4—591no—
1016C23×C4—591no—
1017C23×C4—591no—
1018C23×C4—591no—
1019C23×C4—591no—
1020C23×C4—591no—
1021C23×C4—591no—
1022C23×C4—591no—
1023C23×C4—2362no—
1024C23×C4—2362no—
1025C23×C4—2362no—
1026C23×C4C22×D5911yescharacteristic
1027C23×C4C22×D5911yescharacteristic
1028#125—2362no—
1029#125—2362no—
1030#125—2362no—
1031#123—1184no—
1032#123—1184no—
1033#123—1184no—
1034#120—1184no—
1035#120—1184no—
1036#120—1184no—
1037#120—1184no—
1038#120—1184no—
1039#120—1184no—
1040C4×D4—2362no—
1041C4×D4—2362no—
1042C4×D4—2362no—
1043C4×D4—2362no—
1044C4×D4—2362no—
1045C4×D4—2362no—
1046C4×D4—2362no—
1047C4×D4—2362no—
1048C4×D4—2362no—
1049C2×C4⋊C4—591no—
1050C2×C4⋊C4—591no—
1051C2×C4⋊C4—591no—
1052C2×C4⋊C4—591no—
1053C2×C4⋊C4—591no—
1054C2×C4⋊C4—591no—
1055C2×C4⋊C4—591no—
1056C2×C4⋊C4—591no—
1057C2×C4⋊C4—591no—
1058C2×C4⋊C4—591no—
1059C2×C4⋊C4—591no—
1060C2×C4⋊C4—591no—
1061C2×C4⋊C4—591no—
1062C2×C4⋊C4—591no—
1063C2×C4⋊C4—591no—
1064C2×C4⋊C4—591no—
1065C2×C4⋊C4—591no—
1066C2×C4⋊C4—591no—
1067C2×C4⋊C4—591no—
1068C2×C4⋊C4—591no—
1069C2×C4⋊C4—591no—
1070C2×C4⋊C4—591no—
1071C2×C4⋊C4C22×D5911yescharacteristic
1072C2×C4⋊C4C22×D5911yescharacteristic
1073C2×C4⋊C4C22×D5911yescharacteristic
1074C2×C4⋊C4C22×D5911yescharacteristic
1075C2×C4⋊C4C22×D5911yescharacteristic
1076C2×C22⋊C4—591no—
1077C2×C22⋊C4—591no—
1078C2×C22⋊C4—591no—
1079C2×C22⋊C4—591no—
1080C2×C22⋊C4—591no—
1081C2×C22⋊C4—591no—
1082C2×C22⋊C4—591no—
1083C2×C22⋊C4—591no—
1084C2×C22⋊C4—591no—
1085C2×C22⋊C4—591no—
1086C2×C22⋊C4—591no—
1087C2×C22⋊C4—591no—
1088C2×C22⋊C4—591no—
1089C2×C22⋊C4—591no—
1090C2×C22⋊C4—591no—
1091C2×C22⋊C4—591no—
1092C2×C22⋊C4—591no—
1093C2×C22⋊C4—591no—
1094C2×C22⋊C4—591no—
1095C2×C22⋊C4—591no—
1096C2×C22⋊C4—591no—
1097C2×C22⋊C4—591no—
1098C2×C22⋊C4—591no—
1099C2×C22⋊C4—591no—
1100C2×C22⋊C4—591no—
1101C2×C22⋊C4—591no—
1102C2×C22⋊C4—591no—
1103C2×C22⋊C4—591no—
1104C2×C22⋊C4—591no—
1105C2×C22⋊C4—591no—
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—2362no—
1121C2×C22⋊C4—2362no—
1122C2×C22⋊C4—2362no—
1123C2×C22⋊C4C22×D5911yescharacteristic
1124C2×C22⋊C4C22×D5911yescharacteristic
1125C2×C22⋊C4C22×D5911yescharacteristic
1126C2×C22⋊C4C22×D5911yescharacteristic
1127C2×C22⋊C4C22×D5911yescharacteristic
1128C2×C22⋊C4C22×D5911yescharacteristic
1129C2×C22⋊C4C22×D5911yescharacteristic
1130C2×C22⋊C4C22×D5911yescharacteristic
1131C2×C22⋊C4C22×D5911yescharacteristic
1132C2×C22⋊C4C22×D5911yescharacteristic
1133C2×C42—591no—
1134C2×C42—591no—
1135C2×C42—591no—
1136C2×C42—591no—
1137C2×C42—591no—
1138C2×C42—591no—
1139C2×C42—591no—
1140C2×C42—591no—
1141C2×C42—591no—
1142C2×C42—591no—
1143C2×C42C22×D5911yescharacteristic
1144C2×C42C22×D5911yescharacteristic
1145C2×C42C22×D5911yescharacteristic
1146#95—591no—
1147#95—591no—
1148#95—591no—
1149#95—591no—
1150#95—591no—
1151#95—591no—
1152#95—591no—
1153#95—591no—
1154#95—591no—
1155#95—591no—
1156#95—591no—
1157#95—591no—
1158#95—591no—
1159#95—591no—
1160#95—591no—
1161#95—591no—
1162#95—591no—
1163#95—591no—
1164#95—591no—
1165#95—591no—
1166#95—591no—
1167#95—591no—
1168#95—591no—
1169#95—591no—
1170#95C22×D5911yescharacteristic
1171#95C22×D5911yescharacteristic
1172#95C22×D5911yescharacteristic
1173#95C22×D5911yescharacteristic
1174#95C22×D5911yescharacteristic
1175#95C22×D5911yescharacteristic
1176#95C22×D5911yescharacteristic
1177#95C22×D5911yescharacteristic
1178#95C22×D5911yescharacteristic
1179#95C22×D5911yescharacteristic
1180#95C22×D5911yescharacteristic
1181#95C22×D5911yescharacteristic
1182#95C22×D5911yescharacteristic
1183#95C22×D5911yescharacteristic
1184C24—591no—
1185C24—591no—
1186C24—591no—
1187C24—591no—
1188C24—1182no—
1189C24—1182no—
1190C24—1182no—
1191C24—1182no—
1192C24—1182no—
1193C24—1182no—
1194C24—2361no—
1195C24—2361no—
1196C24—2361no—
1197C24—2361no—
1198C24—2361no—
1199C24—2361no—
1200C24—2361no—
1201C24—2361no—
1202C24C23×D5911yescharacteristic
1203C24C23×D5911yescharacteristic
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—41no—
1207C2×D4—594no—
1208C2×D4—594no—
1209C2×D4—594no—
1210C2×D4—1182no—
1211C2×D4—1182no—
1212C2×D4—1182no—
1213C2×D4—1182no—
1214C2×D4—1182no—
1215C2×D4—1182no—
1216C2×D4—1182no—
1217C2×D4—1182no—
1218C2×D4—1182no—
1219C2×D4—1182no—
1220C2×D4—2361no—
1221C2×D4—2361no—
1222C2×D4—2361no—
1223C2×D4—2361no—
1224C2×D4—2361no—
1225C2×D4—2361no—
1226C2×D4—2361no—
1227C2×D4—2361no—
1228C2×D4—2361no—
1229C2×D4—2361no—
1230C2×D4—2361no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—41no—
1234C22×C4—41no—
1235C22×C4—41no—
1236C22×C4—41no—
1237C22×C4—591no—
1238C22×C4—591no—
1239C22×C4—591no—
1240C22×C4—591no—
1241C22×C4—591no—
1242C22×C4—591no—
1243C22×C4—591no—
1244C22×C4—591no—
1245C22×C4—591no—
1246C22×C4—591no—
1247C22×C4—591no—
1248C22×C4—591no—
1249C22×C4—1182no—
1250C22×C4—1182no—
1251C22×C4—1182no—
1252C22×C4—1182no—
1253C22×C4—1182no—
1254C22×C4—1182no—
1255C22×C4—1182no—
1256C22×C4—1182no—
1257C22×C4—1182no—
1258C22×C4—1182no—
1259C22×C4—1182no—
1260C22×C4—1182no—
1261C22×C4—1182no—
1262C22×C4—2361no—
1263C22×C4—2361no—
1264C22×C4—2361no—
1265C22×C4—2361no—
1266C22×C4—2361no—
1267C22×C4—2361no—
1268C22×C4—2361no—
1269C22×C4—2361no—
1270C22×C4—2361no—
1271C22×C4—2361no—
1272C22×C4—2361no—
1273C22×C4—2361no—
1274C22×C4—2361no—
1275C22×C4—2361no—
1276C22×C4—23616no—
1277C22×C4—2361no—
1278C22×C4—2361no—
1279C22×C4—2361no—
1280C22×C4C23×D5911yescharacteristic
1281C22×C4C23×D5911yescharacteristic
1282C22×C4C23×D5911yescharacteristic
1283C22×C4C23×D5911yescharacteristic
1284C22×C4C23×D5911yescharacteristic
1285C22×C4C23×D5911yescharacteristic
1286C22×C4C23×D5911yescharacteristic
1287C22×C4C23×D5911yescharacteristic
1288C22×C4C23×D5911yescharacteristic
1289C22×C4C23×D5911yescharacteristic
1290C22×C4C23×D5911yescharacteristic
1291C22×C4C23×D5911yescharacteristic
1292C22×C4C23×D5911yescharacteristic
1293C4⋊C4—22no—
1294C4⋊C4—22no—
1295C4⋊C4—41no—
1296C4⋊C4—41no—
1297C4⋊C4—41no—
1298C4⋊C4—1182no—
1299C4⋊C4—1182no—
1300C4⋊C4—1182no—
1301C4⋊C4—1182no—
1302C4⋊C4—1182no—
1303C4⋊C4—1182no—
1304C4⋊C4—1182no—
1305C4⋊C4—1182no—
1306C4⋊C4—1182no—
1307C4⋊C4—1182no—
1308C4⋊C4—2361no—
1309C4⋊C4—2361no—
1310C4⋊C4—2361no—
1311C4⋊C4—2361no—
1312C4⋊C4—2361no—
1313C4⋊C4—2361no—
1314C4⋊C4—2361no—
1315C4⋊C4—2361no—
1316C4⋊C4—2361no—
1317C4⋊C4—2361no—
1318C4⋊C4—2361no—
1319C4⋊C4—2361no—
1320C22⋊C4—22no—
1321C22⋊C4—22no—
1322C22⋊C4—22no—
1323C22⋊C4—22no—
1324C22⋊C4—22no—
1325C22⋊C4—22no—
1326C22⋊C4—41no—
1327C22⋊C4—41no—
1328C22⋊C4—41no—
1329C22⋊C4—41no—
1330C22⋊C4—1182no—
1331C22⋊C4—1182no—
1332C22⋊C4—1182no—
1333C22⋊C4—1182no—
1334C22⋊C4—1182no—
1335C22⋊C4—1182no—
1336C22⋊C4—1182no—
1337C22⋊C4—1182no—
1338C22⋊C4—1182no—
1339C22⋊C4—1182no—
1340C22⋊C4—1182no—
1341C22⋊C4—1182no—
1342C22⋊C4—1182no—
1343C22⋊C4—1182no—
1344C22⋊C4—1182no—
1345C22⋊C4—1182no—
1346C22⋊C4—1182no—
1347C22⋊C4—1182no—
1348C22⋊C4—1182no—
1349C22⋊C4—1182no—
1350C22⋊C4—1182no—
1351C22⋊C4—1182no—
1352C22⋊C4—1182no—
1353C22⋊C4—1182no—
1354C22⋊C4—1182no—
1355C22⋊C4—1182no—
1356C22⋊C4—1182no—
1357C22⋊C4—2361no—
1358C22⋊C4—2361no—
1359C22⋊C4—2361no—
1360C22⋊C4—2361no—
1361C22⋊C4—2361no—
1362C22⋊C4—2361no—
1363C22⋊C4—2361no—
1364C22⋊C4—2361no—
1365C22⋊C4—2361no—
1366C22⋊C4—2361no—
1367C22⋊C4—2361no—
1368C22⋊C4—2361no—
1369C22⋊C4—2361no—
1370C22⋊C4—2361no—
1371C22⋊C4—2361no—
1372C22⋊C4—2361no—
1373C22⋊C4—2361no—
1374C42—41no—
1375C42—41no—
1376C42—41no—
1377C42—1182no—
1378C42—1182no—
1379C42—1182no—
1380C42—2361no—
1381C42—2361no—
1382C42—2361no—
1383C42—2361no—
1384C42—2361no—
1385C42—2361no—
1386C42—2361no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—592no—
1400C23—592no—
1401C23—592no—
1402C23—592no—
1403C23—1181no—
1404C23—1181no—
1405C23—1181no—
1406C23—1181no—
1407C23—1181no—
1408C23—1181no—
1409C23—1181no—
1410C23—1181no—
1411C23—1181no—
1412C23—1181no—
1413C23—1181no—
1414C23—1181no—
1415C23—1181no—
1416C23—1181no—
1417C23—1181no—
1418C23—1181no—
1419C23—1181no—
1420C23—1181no—
1421C23—1181no—
1422C23—1181no—
1423C23—1181no—
1424C23—1181no—
1425C23—1181no—
1426C23—1181no—
1427C23—4722no—
1428C23—4722no—
1429C23—4722no—
1430C23—4722no—
1431C23—2364no—
1432C23—2364no—
1433C23—2364no—
1434C23—2364no—
1435C23—2364no—
1436C23—2364no—
1437C23—2364no—
1438C23—2364no—
1439C23—2364no—
1440C23—2364no—
1441C23#41×D5912yes—
1442C23#41×D5912yes—
1443C23C24×D5911yescharacteristic
1444D4—44no—
1445D4—2364no—
1446D4—2364no—
1447D4—2364no—
1448D4—2364no—
1449D4—2364no—
1450D4—2364no—
1451D4—2364no—
1452D4—2364no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—44no—
1491C2×C4—82no—
1492C2×C4—592no—
1493C2×C4—592no—
1494C2×C4—592no—
1495C2×C4—592no—
1496C2×C4—1181no—
1497C2×C4—1181no—
1498C2×C4—1181no—
1499C2×C4—1181no—
1500C2×C4—1181no—
1501C2×C4—1181no—
1502C2×C4—1181no—
1503C2×C4—1181no—
1504C2×C4—1181no—
1505C2×C4—1181no—
1506C2×C4—1181no—
1507C2×C4—1181no—
1508C2×C4—1181no—
1509C2×C4—1181no—
1510C2×C4—1181no—
1511C2×C4—1181no—
1512C2×C4—1181no—
1513C2×C4—1181no—
1514C2×C4—1181no—
1515C2×C4—1181no—
1516C2×C4—1181no—
1517C2×C4—1181no—
1518C2×C4—1181no—
1519C2×C4—1181no—
1520C2×C4—1181no—
1521C2×C4—1181no—
1522C2×C4—1181no—
1523C2×C4—1181no—
1524C2×C4—1181no—
1525C2×C4—1181no—
1526C2×C4—1181no—
1527C2×C4—1181no—
1528C2×C4—4722no—
1529C2×C4—4722no—
1530C2×C4—4722no—
1531C2×C4—4722no—
1532C2×C4—4722no—
1533C2×C4—2364no—
1534C2×C4—2364no—
1535C2×C4—2364no—
1536C2×C4—2364no—
1537C2×C4—2364no—
1538C2×C4#41×D5912yes—
1539C2×C4#1427377312yes—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—22no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—1182no—
1555C22—1182no—
1556C22—1182no—
1557C22—1182no—
1558C22—1182no—
1559C22—1182no—
1560C22—1182no—
1561C22—1182no—
1562C22—1182no—
1563C22—1182no—
1564C22—1182no—
1565C22—1182no—
1566C22—4728no—
1567C22—23616no—
1568C22—2361no—
1569C22—2361no—
1570C22—2361no—
1571C22—2361no—
1572C22—2361no—
1573C22—2361no—
1574C22—2361no—
1575C22—2361no—
1576C22—2361no—
1577C22—2361no—
1578C22—2361no—
1579C22—2361no—
1580C22—2361no—
1581C22—2361no—
1582C22—2361no—
1583C22—2361no—
1584C22C2×#41×D5911yescharacteristic
1585C22C2×#41×D5911yescharacteristic
1586C22C2×#41×D5911yescharacteristic
1587C22H(5,𝔽2)×D5911yescharacteristic
1588C22H(5,𝔽2)×D5911yescharacteristic
1589C22C2×#1427377311yescharacteristic
1590C22#1683823811yescharacteristic
1591C4—22no—
1592C4—22no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—1182no—
1605C4—1182no—
1606C4—1182no—
1607C4—1182no—
1608C4—2361no—
1609C4—2361no—
1610C4—2361no—
1611C4—2361no—
1612C4—2361no—
1613C4—2361no—
1614C4—2361no—
1615C4—2361no—
1616C2—42no—
1617C2—42no—
1618C2—2362no—
1619C2—2362no—
1620C2—2362no—
1621C2—2362no—
1622C2#2143769911yescharacteristic
1623C2#2143770211yescharacteristic
1624C2#2143770311yescharacteristic
1625C2#2143792711yescharacteristic
1626C2#2143792911yescharacteristic
1627C2#2143793111yescharacteristic
1628C2#2143824711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2576C2
prime radical#21430429C2
hypercenter#2576D59
hypocenterC59#60037
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2576

Complements

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

NH ≅ G/Ntype
1. #21430661C2semidirect
2. #21430660C2semidirect
3. #21430656C2semidirect
5. #21429398C2semidirect
6. #21429396C2semidirect
7. #21429395C2semidirect
8. #21429395C2semidirect
9. #21429394C2semidirect
10. #21429295C2semidirect
11. #21429294C2semidirect
12. #21429291C2semidirect
13. #21428991C2semidirect
14. #21428987C2semidirect
15. #21428984C2semidirect
16. #21428054C2semidirect
17. #21428049C2semidirect
18. #21428047C2semidirect
19. #21428046C2semidirect
20. #21428045C2semidirect
21. #21428043C2semidirect
22. #21427228C2semidirect
23. #21427227C2semidirect
24. #21427224C2semidirect
25. #21427078C2semidirect
26. #21427076C2semidirect
27. #21427074C2semidirect
28. #21426601C2semidirect
29. C4×#14273697C2semidirect
30. #21426597C2semidirect
31. C59×#2576C2semidirect
32. C23×C4×D59C22semidirect
33. C2×#14273718C22semidirect
34. C2×#14273717C22semidirect
35. C2×#14273717C22semidirect
54. C22×(C2×D59)⋊C4C22semidirect
55. C2×C22⋊C4×D59C22semidirect
56. C2×C22⋊C4×D59C22semidirect
57. C59⋊#401C22semidirect
58. #16837331C22semidirect
59. #16837331C22semidirect
60. #16837331C22semidirect
61. #16837330C22semidirect
62. #16837329C22semidirect
63. #16837326C22semidirect
64. #16837326C22semidirect
65. #16837326C22semidirect
66. #16837326C22semidirect
67. #16837326C22semidirect
68. #16837325C22semidirect
69. #16837325C22semidirect
70. #16837325C22semidirect
71. #16837324C22semidirect
72. #16837324C22semidirect
73. #16837324C22semidirect
91. #16837296C22semidirect
92. #16837295C22semidirect
93. #16837294C22semidirect
94. #16837294C22semidirect
95. #16837294C22semidirect
96. #16837294C22semidirect
97. #16837293C22semidirect
98. #16837293C22semidirect
99. #16837292C22semidirect
100. #16837291C22semidirect
101. #16837291C22semidirect
102. #16837291C22semidirect
103. #16837291C22semidirect
104. #16837291C22semidirect
105. #16837290C22semidirect
106. #16837290C22semidirect
107. #16837289C22semidirect
108. #16837287C22semidirect
109. #16837287C22semidirect
110. #16837287C22semidirect
111. #16837286C22semidirect
112. #16837286C22semidirect
113. #16837285C22semidirect
114. #16837284C22semidirect
115. #16837284C22semidirect
116. #16837283C22semidirect
130. #16837277C22semidirect
131. #16837277C22semidirect
132. #16837276C22semidirect
133. #16837276C22semidirect
134. #16837276C22semidirect
135. #16837276C22semidirect
136. #16837276C22semidirect
137. #16837276C22semidirect
138. #16837276C22semidirect
139. #16837275C22semidirect
140. #16837274C22semidirect
141. #16837273C22semidirect
142. #16837273C22semidirect
143. #16837273C22semidirect
144. #16837271C22semidirect
145. #16837266C22semidirect
146. #16837266C22semidirect
147. #16837264C22semidirect
148. #16837264C22semidirect
149. #16837261C22semidirect
150. #16837260C22semidirect
151. #16837259C22semidirect
152. #16837257C22semidirect
153. #16837257C22semidirect
154. #16837257C22semidirect
155. #16837257C22semidirect
156. C4⋊C4×Dic59C22semidirect
157. C4×Dic59⋊C4C22semidirect
158. #16837253C22semidirect
159. C22⋊C4×Dic59C22semidirect
160. C22⋊C4×Dic59C22semidirect
161. C4×(C2×D59)⋊C4C22semidirect
162. C4×(C2×D59)⋊C4C22semidirect
163. C4×(C2×D59)⋊C4C22semidirect
164. C4×(C2×D59)⋊C4C22semidirect
165. C4×C22⋊Dic59C22semidirect
166. #16837249C22semidirect
167. #16837249C22semidirect
168. #16837249C22semidirect
169. #16837249C22semidirect
170. #16837249C22semidirect
171. #16837249C22semidirect
172. C59×#401C22semidirect
173. C59×#397C22semidirect
174. C59×#396C22semidirect
176. C59×#388C22semidirect
177. C59×#388C22semidirect
178. C59×#387C22semidirect
179. C59×#387C22semidirect
182. C59×#385C22semidirect
183. C59×#382C22semidirect
184. C59×#381C22semidirect
185. C4×C22⋊C4×C59C22semidirect
186. C4×C22⋊C4×C59C22semidirect
811. #2576D59semidirect
872. #401C2×D59semidirect
878. #397C2×D59semidirect
890. #396C2×D59semidirect
925. #388C2×D59semidirect
926. #388C2×D59semidirect
937. #387C2×D59semidirect
938. #387C2×D59semidirect
968. #385C2×D59semidirect
972. #382C2×D59semidirect
975. #381C2×D59semidirect
999. C4×C22⋊C4C2×D59semidirect
1000. C4×C22⋊C4C2×D59semidirect
1001. C59#60037semidirect

Maximal subgroups

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

subgroupindex
#214306612
#214306602
#214306562
#214304292
#214293982
#214293962
#214293952
#214293942
#214292952
#214292942
#214292912
#214289912
#214289872
#214289842
#214280542
#214280492
#214280472
#214280462
#214280452
#214280432
#214272282
#214272272
#214272242
#214270782
#214270762
#214270742
#214266012
C4×#142736972
#214265972
C59×#25762
#6003759