Finite Group Databasebeta

← #28761246

Subgroups — #28761246

Order 15104.

3038 conjugacy classes of subgroups.

The subgroup lattice has 1792 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837962C211yesmaximal, characteristic
2C2×C4×D4×D59C211yesmaximal, characteristic, complemented
3#21432416C211yesmaximal, characteristic, complemented
4#21432416C211yesmaximal, characteristic, complemented
5#21432387C211yesmaximal, characteristic, complemented
6#21432385C211yesmaximal, characteristic, complemented
7#21429881C211yesmaximal, characteristic, complemented
8#21429875C211yesmaximal, characteristic, complemented
9#21429868C211yesmaximal, characteristic, complemented
10#21429868C211yesmaximal, characteristic, complemented
11#21427853C211yesmaximal, characteristic, complemented
12#21427849C211yesmaximal, characteristic, complemented
13#21427843C211yesmaximal, characteristic, complemented
14#21427839C211yesmaximal, characteristic, complemented
15#21427838C211yesmaximal, characteristic, complemented
16#21427834C211yesmaximal, characteristic, complemented
17#21427828C211yesmaximal, characteristic, complemented
18#21427824C211yesmaximal, characteristic, complemented
19#21427579C211yesmaximal, characteristic, complemented
20#21427575C211yesmaximal, characteristic, complemented
21#21427571C211yesmaximal, characteristic, complemented
22#21427567C211yesmaximal, characteristic, complemented
23#21427562C211yesmaximal, characteristic, complemented
24#21427558C211yesmaximal, characteristic, complemented
25#21427554C211yesmaximal, characteristic, complemented
26#21426709C211yesmaximal, characteristic, complemented
27#21426672C211yesmaximal, characteristic, complemented
28#21426670C211yesmaximal, characteristic, complemented
29C2×#16837278C211yesmaximal, characteristic, complemented
30#385×D59C211yesmaximal, characteristic, complemented
31C59×#2418C211yesmaximal, characteristic, complemented
32C23×C22⋊D59C2211yescharacteristic
33C22×D4×D59C2211yescharacteristic
34C23×C4×D59C2211yescharacteristic
35C23×C4×D59C2211yescharacteristic, complemented
36#16837962—28no—
37C2×#14273711C2211yescharacteristic
38C2×#14273709C2211yescharacteristic
39C2×#14273709C2211yescharacteristic
40C2×#14273709C2211yescharacteristic, complemented
41C2×#14273709C2211yescharacteristic, complemented
42C2×#14273708C2211yescharacteristic
43C2×#14273708C2211yescharacteristic, complemented
44C2×#14273700C2211yescharacteristic
45C2×#14273700C2211yescharacteristic
46C2×#14273698C2211yescharacteristic
47C2×#14273698C2211yescharacteristic
48C2×#14273696C2211yescharacteristic
49C2×#14273695C2211yescharacteristic
50C2×#14273695C2211yescharacteristic
51C2×C4×D236C2211yescharacteristic, complemented
52C2×D4×Dic59C2211yescharacteristic
53C2×#14273689C2211yescharacteristic, complemented
54C2×C4×C22⋊D59C2211yescharacteristic
55C2×C4×C22⋊D59C2211yescharacteristic, complemented
56C2×(C22⋊D59)⋊C4C2211yescharacteristic
57C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
58C4×D4×D59—28no—
59C2×C4⋊C4×D59C2211yescharacteristic, complemented
60C2×C4⋊C4×D59C2211yescharacteristic, complemented
61C2×C4⋊C4×D59C2211yescharacteristic, complemented
62C22×C22⋊Dic59C2211yescharacteristic, complemented
63C22×(C2×D59)⋊C4C2211yescharacteristic
64C2×C22⋊C4×D59C2211yescharacteristic
65C2×C22⋊C4×D59C2211yescharacteristic
66C2×C22⋊C4×D59C2211yescharacteristic
67C2×C22⋊C4×D59C2211yescharacteristic, complemented
68C2×C42×D59C2211yescharacteristic, complemented
69#16837344C2211yescharacteristic, complemented
70#16837344C2211yescharacteristic, complemented
71#16837342C2211yescharacteristic, complemented
72#16837340C2211yescharacteristic, complemented
73#16837338C2211yescharacteristic, complemented
74#16837338C2211yescharacteristic, complemented
75#16837338C2211yescharacteristic, complemented
76#16837335C2211yescharacteristic, complemented
77#16837335C2211yescharacteristic, complemented
78#16837334C2211yescharacteristic, complemented
79#16837333C2211yescharacteristic, complemented
80#16837331C2211yescharacteristic, complemented
81#16837331C2211yescharacteristic, complemented
82#16837330C2211yescharacteristic, complemented
83#16837330C2211yescharacteristic, complemented
84#16837330C2211yescharacteristic, complemented
85#16837330C2211yescharacteristic, complemented
86#16837328C2211yescharacteristic, complemented
87#16837328C2211yescharacteristic, complemented
88#16837327C2211yescharacteristic, complemented
89#16837327C2211yescharacteristic, complemented
90#16837327C2211yescharacteristic, complemented
91#16837318C2211yescharacteristic, complemented
92#16837318C2211yescharacteristic, complemented
93#16837317C2211yescharacteristic, complemented
94#16837317C2211yescharacteristic, complemented
95#16837316C2211yescharacteristic, complemented
96#16837316C2211yescharacteristic, complemented
97#16837296C2211yescharacteristic, complemented
98#16837296C2211yescharacteristic, complemented
99#16837295C2211yescharacteristic, complemented
100#16837295C2211yescharacteristic, complemented
101#16837290C2211yescharacteristic, complemented
102#16837290C2211yescharacteristic, complemented
103#16837289C2211yescharacteristic, complemented
104#16837289C2211yescharacteristic, complemented
105#16837288C2211yescharacteristic, complemented
106#16837288C2211yescharacteristic, complemented
107#16837287C2211yescharacteristic, complemented
108#16837287C2211yescharacteristic, complemented
109#16837286C2211yescharacteristic, complemented
110#16837286C2211yescharacteristic, complemented
111#16837282C2211yescharacteristic
112#16837282C2211yescharacteristic, complemented
113#16837281C2211yescharacteristic
114#16837280C2211yescharacteristic, complemented
115#16837280C2211yescharacteristic, complemented
116#16837279C2211yescharacteristic
117#16837278C2211yescharacteristic
118#16837278C2211yescharacteristic
119#16837278C2211yescharacteristic
120#16837278C2211yescharacteristic
121#16837278C2211yescharacteristic
122#16837278C2211yescharacteristic
123#16837278C2211yescharacteristic
124#16837278C2211yescharacteristic
125#16837278C2211yescharacteristic, complemented
126#16837278C2211yescharacteristic, complemented
127#16837278C2211yescharacteristic, complemented
128#16837278C2211yescharacteristic, complemented
129#16837278C2211yescharacteristic, complemented
130#16837278C2211yescharacteristic, complemented
131#16837278C2211yescharacteristic, complemented
132#16837278C2211yescharacteristic, complemented
133#16837278C2211yescharacteristic, complemented
134#16837278C2211yescharacteristic, complemented
135#16837278C2211yescharacteristic, complemented
136#16837278C2211yescharacteristic, complemented
137#16837277C2211yescharacteristic, complemented
138#16837277C2211yescharacteristic, complemented
139#16837276C2211yescharacteristic, complemented
140#16837276C2211yescharacteristic, complemented
141#16837276C2211yescharacteristic, complemented
142#16837276C2211yescharacteristic, complemented
143#16837276C2211yescharacteristic, complemented
144#16837276C2211yescharacteristic, complemented
145#16837275C2211yescharacteristic, complemented
146#16837275C2211yescharacteristic, complemented
147#16837274C2211yescharacteristic, complemented
148#16837273C2211yescharacteristic, complemented
149#16837273C2211yescharacteristic, complemented
150#16837273C2211yescharacteristic, complemented
151#16837273C2211yescharacteristic, complemented
152#16837273C2211yescharacteristic, complemented
153#16837273C2211yescharacteristic, complemented
154#16837273C2211yescharacteristic, complemented
155#16837273C2211yescharacteristic, complemented
156#16837265C2211yescharacteristic, complemented
157#16837264C2211yescharacteristic, complemented
158#16837264C2211yescharacteristic, complemented
159#16837264C2211yescharacteristic, complemented
160#16837264C2211yescharacteristic, complemented
161#16837263C2211yescharacteristic, complemented
162#16837263C2211yescharacteristic, complemented
163#16837263C2211yescharacteristic, complemented
164#16837262C2211yescharacteristic, complemented
165#16837260C2211yescharacteristic, complemented
166#16837260C2211yescharacteristic, complemented
167#16837258C2211yescharacteristic, complemented
168#16837257C2211yescharacteristic, complemented
169#16837257C2211yescharacteristic, complemented
170C2×C59⋊#95C2211yescharacteristic, complemented
171C2×C59⋊#95C2211yescharacteristic, complemented
172#95×D59C2211yescharacteristic, complemented
173#95×D59C2211yescharacteristic, complemented
174C2×#123×C59C2211yescharacteristic, complemented
175C2×#120×C59C2211yescharacteristic
176C2×C4×D4×C59C2211yescharacteristic
177C22×C22⋊C4×C59C2211yescharacteristic, complemented
178C59×#399C2211yescharacteristic, complemented
179C59×#397C2211yescharacteristic, complemented
180C59×#394C2211yescharacteristic, complemented
181C59×#394C2211yescharacteristic, complemented
182C59×#388C2211yescharacteristic, complemented
183C59×#388C2211yescharacteristic, complemented
184C59×#386C2211yescharacteristic
185C59×#386C2211yescharacteristic, complemented
186C59×#385C2211yescharacteristic, complemented
187C59×#380C2211yescharacteristic, complemented
188C59×#379C2211yescharacteristic, complemented
189C24×D59C2311yescharacteristic
190C24×D59C2311yescharacteristic
191C22×D236C2311yescharacteristic
192C22×C22⋊D59—24no—
193C22×C22⋊D59—24no—
194C22×C22⋊D59—24no—
195C22×C22⋊D59C2311yescharacteristic
196C22×C22⋊D59C2311yescharacteristic
197C22×C22⋊D59C2311yescharacteristic
198C22×C22⋊D59C2311yescharacteristic
199C22×C22⋊D59C2311yescharacteristic
200C22×C22⋊D59C2311yescharacteristic
201C22×C22⋊D59C2311yescharacteristic
202C22×C22⋊D59C2311yescharacteristic
203C2×D4×D59—24no—
204C2×D4×D59—24no—
205C2×D4×D59D418yes—
206C23×Dic59C2311yescharacteristic
207C23×Dic59C2311yescharacteristic
208C23×Dic59C2311yescharacteristic
209C23×Dic59C2311yescharacteristic
210C22×C4×D59—24no—
211C22×C4×D59—24no—
212C22×C4×D59—42no—
213C22×C4×D59—42no—
214C22×C4×D59—42no—
215C22×C4×D59—42no—
216C22×C4×D59C2311yescharacteristic
217C22×C4×D59C2311yescharacteristic
218C22×C4×D59C2311yescharacteristic
219C22×C4×D59C2311yescharacteristic
220C22×C4×D59C2311yescharacteristic
221C22×C4×D59C2311yescharacteristic
222C22×C4×D59C2311yescharacteristic
223C22×C4×D59C2311yescharacteristic
224C22×C4×D59C2311yescharacteristic
225C22×C4×D59C2311yescharacteristic
226C22×C4×D59C2311yescharacteristic
227C22×C4×D59C2311yescharacteristic
228C22×C4×D59C2311yescharacteristic
229#14273711—24no—
230#14273709—24no—
231#14273709—24no—
232#14273709—42no—
233#14273709—42no—
234#14273708—24no—
235#14273708—42no—
236#14273700—24no—
237#14273700—24no—
238#14273698—24no—
239#14273698—24no—
240#14273696—24no—
241#14273695—24no—
242#14273695—24no—
243C4×D236—24no—
244D4×Dic59—24no—
245#14273689—24no—
246C4×C22⋊D59—24no—
247C4×C22⋊D59—24no—
248(C22⋊D59)⋊C4—24no—
249(C22⋊D59)⋊C4—24no—
250C2×C4⋊Dic59C2311yescharacteristic
251C2×C4⋊Dic59C2311yescharacteristic
252C2×C4⋊Dic59C2311yescharacteristic
253C2×C4⋊Dic59C2311yescharacteristic
254C2×C4⋊Dic59C2311yescharacteristic
255C2×C4⋊Dic59C2311yescharacteristic
256C2×C4⋊Dic59C2311yescharacteristic
257C2×Dic59⋊C4C2311yescharacteristic
258C2×Dic59⋊C4C2311yescharacteristic
259C2×Dic59⋊C4C2311yescharacteristic
260C2×Dic59⋊C4C2311yescharacteristic
261C2×Dic59⋊C4C2311yescharacteristic
262C2×Dic59⋊C4C2311yescharacteristic
263C2×Dic59⋊C4C2311yescharacteristic
264C2×Dic59⋊C4C2311yescharacteristic
265C2×Dic59⋊C4C2311yescharacteristic
266C2×Dic59⋊C4C2311yescharacteristic
267C2×Dic59⋊C4C2311yescharacteristic
268C2×Dic59⋊C4C2311yescharacteristic
269C4⋊C4×D59—24no—
270C4⋊C4×D59—42no—
271C4⋊C4×D59—42no—
272C2×C22⋊Dic59—42no—
273C2×C22⋊Dic59C2311yescharacteristic
274C2×C22⋊Dic59C2311yescharacteristic
275C2×C22⋊Dic59C2311yescharacteristic
276C2×C22⋊Dic59C2311yescharacteristic
277C2×C22⋊Dic59C2311yescharacteristic
278C2×C22⋊Dic59C2311yescharacteristic
279C2×C22⋊Dic59C2311yescharacteristic
280C2×C22⋊Dic59C2311yescharacteristic
281C2×C22⋊Dic59C2311yescharacteristic
282C2×C22⋊Dic59C2311yescharacteristic
283C2×C22⋊Dic59C2311yescharacteristic
284C2×C22⋊Dic59C2311yescharacteristic
285C2×C22⋊Dic59C2311yescharacteristic
286C2×C22⋊Dic59C2311yescharacteristic
287C2×C22⋊Dic59C2311yescharacteristic
288C2×C22⋊Dic59C2311yescharacteristic
289C2×C22⋊Dic59C2311yescharacteristic
290C2×C22⋊Dic59C2311yescharacteristic
291C2×(C2×D59)⋊C4—24no—
292C2×(C2×D59)⋊C4C2311yescharacteristic
293C2×(C2×D59)⋊C4C2311yescharacteristic
294C2×(C2×D59)⋊C4C2311yescharacteristic
295C2×(C2×D59)⋊C4C2311yescharacteristic
296C2×(C2×D59)⋊C4C2311yescharacteristic
297C2×(C2×D59)⋊C4C2311yescharacteristic
298C2×(C2×D59)⋊C4C2311yescharacteristic
299C2×(C2×D59)⋊C4C2311yescharacteristic
300C2×(C2×D59)⋊C4C2311yescharacteristic
301C2×(C2×D59)⋊C4C2311yescharacteristic
302C2×(C2×D59)⋊C4C2311yescharacteristic
303C2×(C2×D59)⋊C4C2311yescharacteristic
304C2×(C2×D59)⋊C4C2311yescharacteristic
305C2×(C2×D59)⋊C4C2311yescharacteristic
306C2×(C2×D59)⋊C4C2311yescharacteristic
307C2×(C2×D59)⋊C4C2311yescharacteristic
308C2×(C2×D59)⋊C4C2311yescharacteristic
309C2×(C2×D59)⋊C4C2311yescharacteristic
310C22⋊C4×D59—24no—
311C22⋊C4×D59—24no—
312C22⋊C4×D59—24no—
313C22⋊C4×D59—24no—
314C2×C4×Dic59C2311yescharacteristic
315C2×C4×Dic59C2311yescharacteristic
316C2×C4×Dic59C2311yescharacteristic
317C42×D59—24no—
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
334C59⋊#95C2311yescharacteristic
335C59⋊#95C2311yescharacteristic
336C59⋊#95C2311yescharacteristic
337C59⋊#95C2311yescharacteristic
338C59⋊#95C2311yescharacteristic
339C59⋊#95C2311yescharacteristic
340C59⋊#95C2311yescharacteristic
341C59⋊#95C2311yescharacteristic
342C59⋊#95C2311yescharacteristic
343C59⋊#95C2311yescharacteristic
344C59⋊#95C2311yescharacteristic
345C59⋊#95C2311yescharacteristic
346C59⋊#95C2311yescharacteristic
347C59⋊#95C2311yescharacteristic
348C59⋊#95C2311yescharacteristic
349C59⋊#95C2311yescharacteristic
350C59⋊#95C2311yescharacteristic
351C59⋊#95C2311yescharacteristic
352C25×C59C2311yescharacteristic
353C22×D4×C59C2311yescharacteristic
354C22×D4×C59C2311yescharacteristic
355C22×D4×C59C2311yescharacteristic
356C23×C4×C59C2311yescharacteristic
357C23×C4×C59C2311yescharacteristic
358C23×C4×C59C2311yescharacteristic
359#123×C59—42no—
360#120×C59—24no—
361C4×D4×C59—24no—
362C2×C4⋊C4×C59C2311yescharacteristic
363C2×C4⋊C4×C59C2311yescharacteristic
364C2×C4⋊C4×C59C2311yescharacteristic
365C2×C4⋊C4×C59C2311yescharacteristic
366C2×C4⋊C4×C59C2311yescharacteristic
367C2×C22⋊C4×C59—42no—
368C2×C22⋊C4×C59C2311yescharacteristic
369C2×C22⋊C4×C59C2311yescharacteristic
370C2×C22⋊C4×C59C2311yescharacteristic
371C2×C22⋊C4×C59C2311yescharacteristic
372C2×C22⋊C4×C59C2311yescharacteristic
373C2×C22⋊C4×C59C2311yescharacteristic
374C2×C22⋊C4×C59C2311yescharacteristic
375C2×C22⋊C4×C59C2311yescharacteristic
376C2×C22⋊C4×C59C2311yescharacteristic
377C2×C22⋊C4×C59C2311yescharacteristic
378C2×C22⋊C4×C59C2311yescharacteristic
379C2×C22⋊C4×C59C2311yescharacteristic
380C2×C22⋊C4×C59C2311yescharacteristic
381C2×C22⋊C4×C59C2311yescharacteristic
382C2×C22⋊C4×C59C2311yescharacteristic
383C2×C22⋊C4×C59C2311yescharacteristic
384C2×C42×C59C2311yescharacteristic
385#95×C59C2311yescharacteristic
386#95×C59C2311yescharacteristic
387#95×C59C2311yescharacteristic
388#95×C59C2311yescharacteristic
389#95×C59C2311yescharacteristic
390#95×C59C2311yescharacteristic
391C24×C59—22no—
392C24×C59—22no—
393C24×C59—22no—
394C24×C59—41no—
395C24×C59—41no—
396C24×C59—41no—
397C24×C59—41no—
398C24×C59C2411yescharacteristic
399C24×C59C2411yescharacteristic
400C24×C59C2411yescharacteristic
401C24×C59C2411yescharacteristic
402C23×D59—22no—
403C23×D59—22no—
404C23×D59—41no—
405C23×D59—41no—
406C23×D59—41no—
407C23×D59—41no—
408C23×D59—41no—
409C23×D59—41no—
410C23×D59—41no—
411C23×D59—41no—
412C23×D59C2×D414yes—
413C23×D59C2×D414yes—
414C23×D59#4114yes—
415C23×D59#4114yes—
416C23×D59C2411yescharacteristic
417C23×D59C2411yescharacteristic
418C23×D59C2411yescharacteristic
419C2×D4×C59—22no—
420C2×D4×C59—22no—
421C2×D4×C59—22no—
422C2×D4×C59—22no—
423C2×D4×C59—41no—
424C2×D4×C59—41no—
425C2×D4×C59—41no—
426C2×D4×C59—41no—
427C2×D4×C59C2×D414yes—
428C22×C4×C59—22no—
429C22×C4×C59—22no—
430C22×C4×C59—22no—
431C22×C4×C59—22no—
432C22×C4×C59—22no—
433C22×C4×C59—41no—
434C22×C4×C59—41no—
435C22×C4×C59—41no—
436C22×C4×C59—41no—
437C22×C4×C59C2411yescharacteristic
438C22×C4×C59C2411yescharacteristic
439C22×C4×C59C2411yescharacteristic
440C22×C4×C59C2411yescharacteristic
441C22×C4×C59C2411yescharacteristic
442C22×C4×C59C2411yescharacteristic
443C22×C4×C59C2411yescharacteristic
444C22×C4×C59C2411yescharacteristic
445C22×C4×C59C2411yescharacteristic
446C22×C4×C59C2411yescharacteristic
447C22×C4×C59C2411yescharacteristic
448C2×C22⋊D59—22no—
449C2×C22⋊D59—22no—
450C2×C22⋊D59—22no—
451C2×C22⋊D59—22no—
452C2×C22⋊D59—22no—
453C2×C22⋊D59—22no—
454C2×C22⋊D59—22no—
455C2×C22⋊D59—22no—
456C2×C22⋊D59—22no—
457C2×C22⋊D59—22no—
458C2×C22⋊D59—22no—
459C2×C22⋊D59—22no—
460C2×C22⋊D59—22no—
461C2×C22⋊D59—22no—
462C2×C22⋊D59—22no—
463C2×C22⋊D59—22no—
464C2×C22⋊D59—22no—
465C2×C22⋊D59—22no—
466C2×C22⋊D59—41no—
467C2×C22⋊D59—41no—
468C2×C22⋊D59—41no—
469C2×C22⋊D59—41no—
470C2×C22⋊D59—416no—
471C2×C22⋊D59C2×D414yes—
472C2×C22⋊D59C2×D414yes—
473C22×Dic59—22no—
474C22×Dic59—22no—
475C22×Dic59—22no—
476C22×Dic59—22no—
477C22×Dic59—22no—
478C22×Dic59—22no—
479C22×Dic59—22no—
480C22×Dic59—22no—
481C22×Dic59—41no—
482C22×Dic59—41no—
483C22×Dic59—41no—
484C22×Dic59—41no—
485C22×Dic59C2411yescharacteristic
486C22×Dic59C2411yescharacteristic
487C22×Dic59C2411yescharacteristic
488C22×Dic59C2411yescharacteristic
489C22×Dic59C2411yescharacteristic
490C22×Dic59C2411yescharacteristic
491C22×Dic59C2411yescharacteristic
492C22×Dic59C2411yescharacteristic
493C22×Dic59C2411yescharacteristic
494C22×Dic59C2411yescharacteristic
495C22×Dic59C2411yescharacteristic
496C22×Dic59C2411yescharacteristic
497C22×Dic59C2411yescharacteristic
498D4×D59—232no—
499C2×D236—22no—
500C2×D236—22no—
501C2×D236C2×D414yes—
502C2×C4×D59—22no—
503C2×C4×D59—22no—
504C2×C4×D59—22no—
505C2×C4×D59—22no—
506C2×C4×D59—22no—
507C2×C4×D59—22no—
508C2×C4×D59—22no—
509C2×C4×D59—22no—
510C2×C4×D59—22no—
511C2×C4×D59—22no—
512C2×C4×D59—22no—
513C2×C4×D59—22no—
514C2×C4×D59—22no—
515C2×C4×D59—22no—
516C2×C4×D59—22no—
517C2×C4×D59—22no—
518C2×C4×D59—22no—
519C2×C4×D59—22no—
520C2×C4×D59—22no—
521C2×C4×D59—22no—
522C2×C4×D59—416no—
523C2×C4×D59—416no—
524C2×C4×D59—41no—
525C2×C4×D59—41no—
526C2×C4×D59—41no—
527C2×C4×D59—41no—
528C2×C4×D59—41no—
529C2×C4×D59—41no—
530C2×C4×D59—41no—
531C2×C4×D59—41no—
532C2×C4×D59—41no—
533C2×C4×D59—41no—
534C2×C4×D59—41no—
535C2×C4×D59—41no—
536C2×C4×D59—41no—
537C2×C4×D59—41no—
538C2×C4×D59—41no—
539C2×C4×D59—41no—
540C2×C4×D59—41no—
541C2×C4×D59—41no—
542C2×C4×D59C2×D414yes—
543C4⋊C4×C59—22no—
544C4⋊C4×C59—22no—
545C4⋊C4×C59—41no—
546C4⋊C4×C59—41no—
547C4⋊C4×C59—41no—
548C22⋊C4×C59—22no—
549C22⋊C4×C59—22no—
550C22⋊C4×C59—22no—
551C22⋊C4×C59—22no—
552C22⋊C4×C59—22no—
553C22⋊C4×C59—22no—
554C22⋊C4×C59—22no—
555C22⋊C4×C59—22no—
556C22⋊C4×C59—41no—
557C22⋊C4×C59—41no—
558C22⋊C4×C59—41no—
559C22⋊C4×C59—41no—
560C22⋊C4×C59—41no—
561C22⋊C4×C59—41no—
562C22⋊C4×C59—41no—
563C22⋊C4×C59—41no—
564C42×C59—22no—
565C22⋊Dic59—22no—
566C22⋊Dic59—22no—
567C22⋊Dic59—22no—
568C22⋊Dic59—22no—
569C22⋊Dic59—22no—
570C22⋊Dic59—22no—
571C22⋊Dic59—22no—
572C22⋊Dic59—22no—
573C22⋊Dic59—22no—
574C22⋊Dic59—22no—
575C22⋊Dic59—41no—
576C22⋊Dic59—41no—
577C22⋊Dic59—41no—
578C22⋊Dic59—41no—
579C22⋊Dic59—41no—
580C22⋊Dic59—41no—
581C22⋊Dic59—41no—
582C22⋊Dic59—41no—
583(C2×D59)⋊C4—22no—
584(C2×D59)⋊C4—22no—
585(C2×D59)⋊C4—22no—
586(C2×D59)⋊C4—22no—
587(C2×D59)⋊C4—22no—
588(C2×D59)⋊C4—22no—
589(C2×D59)⋊C4—22no—
590(C2×D59)⋊C4—22no—
591(C2×D59)⋊C4—22no—
592(C2×D59)⋊C4—22no—
593(C2×D59)⋊C4—22no—
594(C2×D59)⋊C4—22no—
595(C2×D59)⋊C4—22no—
596(C2×D59)⋊C4—22no—
597(C2×D59)⋊C4—41no—
598(C2×D59)⋊C4—41no—
599(C2×D59)⋊C4—41no—
600(C2×D59)⋊C4—41no—
601C4⋊Dic59—22no—
602C4⋊Dic59—22no—
603C4⋊Dic59—22no—
604C4⋊Dic59—22no—
605C4⋊Dic59—41no—
606C4⋊Dic59—41no—
607C4⋊Dic59—41no—
608Dic59⋊C4—22no—
609Dic59⋊C4—22no—
610Dic59⋊C4—22no—
611Dic59⋊C4—22no—
612Dic59⋊C4—22no—
613Dic59⋊C4—22no—
614Dic59⋊C4—41no—
615Dic59⋊C4—41no—
616Dic59⋊C4—41no—
617Dic59⋊C4—41no—
618Dic59⋊C4—41no—
619Dic59⋊C4—41no—
620C4×Dic59—22no—
621C4×Dic59—22no—
622C4×Dic59—22no—
623C23×C59—21no—
624C23×C59—21no—
625C23×C59—21no—
626C23×C59—21no—
627C23×C59—21no—
628C23×C59—21no—
629C23×C59—21no—
630C23×C59—21no—
631C23×C59—21no—
632C23×C59—21no—
633C23×C59—21no—
634C23×C59—21no—
635C23×C59—21no—
636C23×C59—21no—
637C23×C59—21no—
638C23×C59—21no—
639C23×C59—21no—
640C23×C59—21no—
641C23×C59—21no—
642C23×C59—21no—
643C23×C59—21no—
644C23×C59—21no—
645C23×C59—21no—
646C23×C59—21no—
647C23×C59—44no—
648C23×C59—44no—
649C23×C59—44no—
650C23×C59—82no—
651C23×C59—82no—
652C23×C59—82no—
653C23×C59—82no—
654C23×C59C22×D412yes—
655C23×C59C22×D412yes—
656C23×C59C2×#4112yes—
657C23×C59C2×#4112yes—
658C23×C59C2511yescharacteristic
659C22×D59—21no—
660C22×D59—21no—
661C22×D59—21no—
662C22×D59—21no—
663C22×D59—21no—
664C22×D59—21no—
665C22×D59—21no—
666C22×D59—21no—
667C22×D59—21no—
668C22×D59—21no—
669C22×D59—21no—
670C22×D59—21no—
671C22×D59—21no—
672C22×D59—21no—
673C22×D59—28no—
674C22×D59—44no—
675C22×D59—44no—
676C22×D59—44no—
677C22×D59—44no—
678C22×D59—44no—
679C22×D59—44no—
680C22×D59—44no—
681C22×D59—44no—
682C22×D59—44no—
683C22×D59—44no—
684C22×D59—44no—
685C22×D59—44no—
686C22×D59#123116yescomplemented
687C22×D59C22×D412yes—
688C22×D59C22×D412yes—
689C22×D59C22×D412yes—
690C22×D59C2×#4112yes—
691C22×D59C2×#4112yes—
692C22×D59C2×#4112yes—
693C22×D59C2×#4112yes—
694D4×C59—28no—
695D4×C59—82no—
696D4×C59—82no—
697C2×C4×C59—21no—
698C2×C4×C59—21no—
699C2×C4×C59—21no—
700C2×C4×C59—21no—
701C2×C4×C59—21no—
702C2×C4×C59—21no—
703C2×C4×C59—21no—
704C2×C4×C59—21no—
705C2×C4×C59—21no—
706C2×C4×C59—21no—
707C2×C4×C59—21no—
708C2×C4×C59—21no—
709C2×C4×C59—21no—
710C2×C4×C59—21no—
711C2×C4×C59—21no—
712C2×C4×C59—21no—
713C2×C4×C59—21no—
714C2×C4×C59—21no—
715C2×C4×C59—21no—
716C2×C4×C59—21no—
717C2×C4×C59—21no—
718C2×C4×C59—21no—
719C2×C4×C59—21no—
720C2×C4×C59—21no—
721C2×C4×C59—21no—
722C2×C4×C59—21no—
723C2×C4×C59—21no—
724C2×C4×C59—21no—
725C2×C4×C59—21no—
726C2×C4×C59—21no—
727C2×C4×C59—21no—
728C2×C4×C59—44no—
729C2×C4×C59—44no—
730C2×C4×C59—82no—
731C2×C4×C59C22×D412yes—
732C2×C4×C59H(5,𝔽2)12yes—
733C22⋊D59—28no—
734C22⋊D59—28no—
735C22⋊D59—44no—
736C22⋊D59—44no—
737C22⋊D59—44no—
738C22⋊D59—44no—
739C22⋊D59—82no—
740C22⋊D59—82no—
741C2×Dic59—21no—
742C2×Dic59—21no—
743C2×Dic59—21no—
744C2×Dic59—21no—
745C2×Dic59—21no—
746C2×Dic59—21no—
747C2×Dic59—21no—
748C2×Dic59—21no—
749C2×Dic59—21no—
750C2×Dic59—21no—
751C2×Dic59—21no—
752C2×Dic59—21no—
753C2×Dic59—21no—
754C2×Dic59—21no—
755C2×Dic59—21no—
756C2×Dic59—21no—
757C2×Dic59—21no—
758C2×Dic59—21no—
759C2×Dic59—21no—
760C2×Dic59—21no—
761C2×Dic59—21no—
762C2×Dic59—21no—
763C2×Dic59—21no—
764C2×Dic59—21no—
765C2×Dic59—21no—
766C2×Dic59—21no—
767C2×Dic59—21no—
768C2×Dic59—21no—
769C2×Dic59—21no—
770C2×Dic59—21no—
771C2×Dic59—21no—
772C2×Dic59—21no—
773C2×Dic59—21no—
774C2×Dic59—21no—
775C2×Dic59—21no—
776C2×Dic59—21no—
777C2×Dic59—21no—
778C2×Dic59—44no—
779C2×Dic59—44no—
780C2×Dic59—44no—
781C2×Dic59—82no—
782C2×Dic59C22×D412yes—
783C2×Dic59H(5,𝔽2)12yes—
784D236—28no—
785C4×D59—28no—
786C4×D59—28no—
787C4×D59—44no—
788C4×D59—44no—
789C4×D59—44no—
790C4×D59—44no—
791C4×D59—44no—
792C4×D59—44no—
793C4×D59—44no—
794C4×D59—44no—
795C4×D59—44no—
796C4×D59—82no—
797C4×D59—82no—
798#34983—591nomaximal, Sylow
799C22×C59—22no—
800C22×C59—22no—
801C22×C59—22no—
802C22×C59—22no—
803C22×C59—22no—
804C22×C59—22no—
805C22×C59—22no—
806C22×C59—22no—
807C22×C59—22no—
808C22×C59—41no—
809C22×C59—41no—
810C22×C59—41no—
811C22×C59—41no—
812C22×C59—41no—
813C22×C59—41no—
814C22×C59—41no—
815C22×C59—41no—
816C22×C59—41no—
817C22×C59—41no—
818C22×C59—41no—
819C22×C59—41no—
820C22×C59—41no—
821C22×C59—41no—
822C22×C59—41no—
823C22×C59—41no—
824C22×C59—41no—
825C22×C59—41no—
826C22×C59—88no—
827C22×C59C2×#12314yes—
828C22×C59C23×D411yescharacteristic
829C22×C59C22×#4111yescharacteristic
830C22×C59C22×#4111yescharacteristic
831C22×C59C2×H(5,𝔽2)11yescharacteristic
832C22×C59C2×H(5,𝔽2)11yescharacteristic
833C22×C59#58511yescharacteristic
834C22×C59#58511yescharacteristic
835C2×D59—22no—
836C2×D59—22no—
837C2×D59—22no—
838C2×D59—22no—
839C2×D59—22no—
840C2×D59—22no—
841C2×D59—22no—
842C2×D59—22no—
843C2×D59—22no—
844C2×D59—22no—
845C2×D59—22no—
846C2×D59—22no—
847C2×D59—22no—
848C2×D59—22no—
849C2×D59—22no—
850C2×D59—416no—
851C2×D59—416no—
852C2×D59—41no—
853C2×D59—41no—
854C2×D59—41no—
855C2×D59—41no—
856C2×D59C2×#12314yes—
857C2×D59C2×#12314yes—
858C4×C59—22no—
859C4×C59—22no—
860C4×C59—41no—
861C4×C59—41no—
862C4×C59—41no—
863C4×C59—41no—
864C4×C59—41no—
865C4×C59—41no—
866C4×C59—41no—
867C4×C59—41no—
868C4×C59—41no—
869Dic59—22no—
870Dic59—22no—
871Dic59—41no—
872Dic59—41no—
873Dic59—41no—
874Dic59—41no—
875Dic59—41no—
876Dic59—41no—
877Dic59—41no—
878Dic59—41no—
879Dic59—41no—
880Dic59—41no—
881Dic59—41no—
882C2×#534—591no—
883C22×C4×D4—591no—
884#2853—591no—
885#2853—591no—
886#2849—591no—
887#2849—591no—
888#2623—591no—
889#2623—591no—
890#2622—591no—
891#2622—591no—
892#2444—591no—
893#2444—591no—
894#2444—591no—
895#2444—591no—
896#2443—591no—
897#2443—591no—
898#2443—591no—
899#2443—591no—
900#2419—591no—
901#2419—591no—
902#2419—591no—
903#2419—591no—
904#2418—591no—
905#2418—591no—
906#2418—591no—
907#2418D5911yescharacteristic, complemented
908#2315—591no—
909#2308—591no—
910#2308—591no—
911C2×#386—591no—
912C2×#385—591no—
913C2×C59—24no—
914C2×C59—42no—
915C2×C59—81no—
916C2×C59—81no—
917C2×C59C22×#12311yescharacteristic
918C2×C59#345911yescharacteristic
919C2×C59#345911yescharacteristic
920C2×C59#348411yescharacteristic
921C2×C59#348511yescharacteristic
922C2×C59#350511yescharacteristic
923C2×C59#350511yescharacteristic
924D59—24no—
925D59—24no—
926D59—42no—
927C23×D4—591no—
928C23×D4—591no—
929C24×C4—591no—
930C24×C4—591no—
931#534—1188no—
932C2×#123—591no—
933C2×#123—591no—
934C2×#123—591no—
935C2×#123—591no—
936C2×#123—591no—
937C2×#123—591no—
938C2×#123—591no—
939C2×#123C2×D5911yescharacteristic, complemented
940C2×#121—591no—
941C2×#121—591no—
942C2×#121—591no—
943C2×#121—591no—
944C2×#120—591no—
945C2×#120—591no—
946C2×#120—591no—
947C2×#120C2×D5911yescharacteristic
948C2×C4×D4—591no—
949C2×C4×D4—591no—
950C2×C4×D4—591no—
951C2×C4×D4—591no—
952C2×C4×D4—591no—
953C2×C4×D4—591no—
954C2×C4×D4—591no—
955C2×C4×D4—1188no—
956C2×C4×D4C2×D5911yescharacteristic
957C22×C4⋊C4—591no—
958C22×C4⋊C4—591no—
959C22×C4⋊C4—591no—
960C22×C22⋊C4—591no—
961C22×C22⋊C4—591no—
962C22×C22⋊C4—591no—
963C22×C22⋊C4—591no—
964C22×C22⋊C4—591no—
965C22×C22⋊C4—591no—
966C22×C22⋊C4C2×D5911yescharacteristic, complemented
967C22×C42—591no—
968#400—591no—
969#400—591no—
970#400—591no—
971#400—591no—
972#399—591no—
973#399—591no—
974#399—591no—
975#399C2×D5911yescharacteristic, complemented
976#398—591no—
977#398—591no—
978#398—591no—
979#398—591no—
980#397—591no—
981#397—591no—
982#397—591no—
983#397—591no—
984#397—591no—
985#397—591no—
986#397—591no—
987#397—591no—
988#397—591no—
989#397—591no—
990#397—591no—
991#397C2×D5911yescharacteristic, complemented
992#394—591no—
993#394—591no—
994#394—591no—
995#394—591no—
996#394—591no—
997#394—591no—
998#394C2×D5911yescharacteristic, complemented
999#394C2×D5911yescharacteristic, complemented
1000#388—591no—
1001#388—591no—
1002#388—591no—
1003#388—591no—
1004#388—591no—
1005#388—591no—
1006#388C2×D5911yescharacteristic, complemented
1007#388C2×D5911yescharacteristic, complemented
1008#387—591no—
1009#387—591no—
1010#387—591no—
1011#387—591no—
1012#387—591no—
1013#387—591no—
1014#387—591no—
1015#387—591no—
1016#386—591no—
1017#386—591no—
1018#386—591no—
1019#386—591no—
1020#386—591no—
1021#386—591no—
1022#386—591no—
1023#386—591no—
1024#386—591no—
1025#386—591no—
1026#386—591no—
1027#386—591no—
1028#386—591no—
1029#386—591no—
1030#386—591no—
1031#386—591no—
1032#386—591no—
1033#386—591no—
1034#386—591no—
1035#386—591no—
1036#386—591no—
1037#386—591no—
1038#386—591no—
1039#386—591no—
1040#386—591no—
1041#386—591no—
1042#386C2×D5911yescharacteristic
1043#386C2×D5911yescharacteristic, complemented
1044#385—591no—
1045#385—591no—
1046#385—591no—
1047#385—591no—
1048#385—591no—
1049#385—591no—
1050#385—591no—
1051#385—591no—
1052#385—591no—
1053#385—591no—
1054#385—591no—
1055#385—591no—
1056#385—591no—
1057#385—591no—
1058#385—591no—
1059#385—591no—
1060#385—591no—
1061#385—591no—
1062#385—591no—
1063#385C2×D5911yescharacteristic, complemented
1064#381—591no—
1065#381—591no—
1066#381—591no—
1067#381—591no—
1068#381—591no—
1069#381—591no—
1070#381—591no—
1071#381—591no—
1072#380—591no—
1073#380—591no—
1074#380—591no—
1075#380C2×D5911yescharacteristic, complemented
1076#379—591no—
1077#379—591no—
1078#379—591no—
1079#379C2×D5911yescharacteristic, complemented
1080C2×#95—591no—
1081C2×#95—591no—
1082C2×#95—591no—
1083C2×#95—591no—
1084C59#3498311yescharacteristic, complemented, Sylow
1085C25—591no—
1086C25—591no—
1087C25C22×D5911yescharacteristic
1088C22×D4—591no—
1089C22×D4—591no—
1090C22×D4—598no—
1091C22×D4—591no—
1092C22×D4—591no—
1093C22×D4—591no—
1094C22×D4—591no—
1095C22×D4—591no—
1096C22×D4—591no—
1097C22×D4—591no—
1098C22×D4—1184no—
1099C22×D4—1184no—
1100C22×D4—1184no—
1101C22×D4—1184no—
1102C22×D4—1184no—
1103C22×D4C22×D5911yescharacteristic
1104C22×D4C22×D5911yescharacteristic
1105C22×D4C22×D5911yescharacteristic
1106C23×C4—591no—
1107C23×C4—591no—
1108C23×C4—591no—
1109C23×C4—591no—
1110C23×C4—591no—
1111C23×C4—591no—
1112C23×C4—591no—
1113C23×C4—591no—
1114C23×C4—591no—
1115C23×C4—591no—
1116C23×C4—591no—
1117C23×C4—591no—
1118C23×C4—591no—
1119C23×C4—591no—
1120C23×C4—591no—
1121C23×C4—591no—
1122C23×C4—591no—
1123C23×C4—1184no—
1124C23×C4—1184no—
1125C23×C4—2362no—
1126C23×C4—2362no—
1127C23×C4—2362no—
1128C23×C4—2362no—
1129C23×C4C22×D5911yescharacteristic
1130C23×C4C22×D5911yescharacteristic
1131C23×C4C22×D5911yescharacteristic
1132#123—42no—
1133#123—1184no—
1134#123—1184no—
1135#123—1184no—
1136#123—1184no—
1137#123—2362no—
1138#123—2362no—
1139#123—2362no—
1140#121—1184no—
1141#121—1184no—
1142#121—1184no—
1143#121—1184no—
1144#120—24no—
1145#120—1184no—
1146#120—1184no—
1147#120—1184no—
1148C4×D4—24no—
1149C4×D4—1184no—
1150C4×D4—1184no—
1151C4×D4—1184no—
1152C4×D4—1184no—
1153C4×D4—1184no—
1154C4×D4—1184no—
1155C4×D4—1184no—
1156C2×C4⋊C4—591no—
1157C2×C4⋊C4—591no—
1158C2×C4⋊C4—591no—
1159C2×C4⋊C4—591no—
1160C2×C4⋊C4—591no—
1161C2×C4⋊C4—591no—
1162C2×C4⋊C4—591no—
1163C2×C4⋊C4—591no—
1164C2×C4⋊C4—591no—
1165C2×C4⋊C4—591no—
1166C2×C4⋊C4—591no—
1167C2×C4⋊C4—591no—
1168C2×C4⋊C4—591no—
1169C2×C4⋊C4—591no—
1170C2×C4⋊C4—591no—
1171C2×C4⋊C4—591no—
1172C2×C4⋊C4—591no—
1173C2×C4⋊C4—591no—
1174C2×C4⋊C4—591no—
1175C2×C4⋊C4—1184no—
1176C2×C4⋊C4—2362no—
1177C2×C4⋊C4—2362no—
1178C2×C4⋊C4C22×D5911yescharacteristic
1179C2×C4⋊C4C22×D5911yescharacteristic
1180C2×C4⋊C4C22×D5911yescharacteristic
1181C2×C4⋊C4C22×D5911yescharacteristic
1182C2×C4⋊C4C22×D5911yescharacteristic
1183C2×C22⋊C4—42no—
1184C2×C22⋊C4—591no—
1185C2×C22⋊C4—591no—
1186C2×C22⋊C4—591no—
1187C2×C22⋊C4—591no—
1188C2×C22⋊C4—591no—
1189C2×C22⋊C4—591no—
1190C2×C22⋊C4—591no—
1191C2×C22⋊C4—591no—
1192C2×C22⋊C4—591no—
1193C2×C22⋊C4—591no—
1194C2×C22⋊C4—591no—
1195C2×C22⋊C4—591no—
1196C2×C22⋊C4—591no—
1197C2×C22⋊C4—591no—
1198C2×C22⋊C4—591no—
1199C2×C22⋊C4—591no—
1200C2×C22⋊C4—591no—
1201C2×C22⋊C4—591no—
1202C2×C22⋊C4—591no—
1203C2×C22⋊C4—591no—
1204C2×C22⋊C4—591no—
1205C2×C22⋊C4—591no—
1206C2×C22⋊C4—591no—
1207C2×C22⋊C4—591no—
1208C2×C22⋊C4—591no—
1209C2×C22⋊C4—591no—
1210C2×C22⋊C4—591no—
1211C2×C22⋊C4—591no—
1212C2×C22⋊C4—591no—
1213C2×C22⋊C4—591no—
1214C2×C22⋊C4—591no—
1215C2×C22⋊C4—591no—
1216C2×C22⋊C4—591no—
1217C2×C22⋊C4—591no—
1218C2×C22⋊C4—591no—
1219C2×C22⋊C4—591no—
1220C2×C22⋊C4—1184no—
1221C2×C22⋊C4—1184no—
1222C2×C22⋊C4—1184no—
1223C2×C22⋊C4—1184no—
1224C2×C22⋊C4—1184no—
1225C2×C22⋊C4—2362no—
1226C2×C22⋊C4C22×D5911yescharacteristic
1227C2×C22⋊C4C22×D5911yescharacteristic
1228C2×C22⋊C4C22×D5911yescharacteristic
1229C2×C22⋊C4C22×D5911yescharacteristic
1230C2×C22⋊C4C22×D5911yescharacteristic
1231C2×C22⋊C4C22×D5911yescharacteristic
1232C2×C22⋊C4C22×D5911yescharacteristic
1233C2×C22⋊C4C22×D5911yescharacteristic
1234C2×C22⋊C4C22×D5911yescharacteristic
1235C2×C22⋊C4C22×D5911yescharacteristic
1236C2×C22⋊C4C22×D5911yescharacteristic
1237C2×C22⋊C4C22×D5911yescharacteristic
1238C2×C22⋊C4C22×D5911yescharacteristic
1239C2×C22⋊C4C22×D5911yescharacteristic
1240C2×C22⋊C4C22×D5911yescharacteristic
1241C2×C22⋊C4C22×D5911yescharacteristic
1242C2×C42—591no—
1243C2×C42—591no—
1244C2×C42—591no—
1245C2×C42—1184no—
1246C2×C42C22×D5911yescharacteristic
1247#95—591no—
1248#95—591no—
1249#95—591no—
1250#95—591no—
1251#95—591no—
1252#95—591no—
1253#95—591no—
1254#95—591no—
1255#95—591no—
1256#95—591no—
1257#95—591no—
1258#95—591no—
1259#95—591no—
1260#95—591no—
1261#95—591no—
1262#95—591no—
1263#95—591no—
1264#95—591no—
1265#95—591no—
1266#95—591no—
1267#95—591no—
1268#95—591no—
1269#95—591no—
1270#95—591no—
1271#95—591no—
1272#95—591no—
1273#95—591no—
1274#95—591no—
1275#95—591no—
1276#95—591no—
1277#95—591no—
1278#95—591no—
1279#95—591no—
1280#95—591no—
1281#95C22×D5911yescharacteristic
1282#95C22×D5911yescharacteristic
1283#95C22×D5911yescharacteristic
1284#95C22×D5911yescharacteristic
1285#95C22×D5911yescharacteristic
1286#95C22×D5911yescharacteristic
1287C24—22no—
1288C24—22no—
1289C24—22no—
1290C24—41no—
1291C24—41no—
1292C24—41no—
1293C24—41no—
1294C24—591no—
1295C24—591no—
1296C24—594no—
1297C24—594no—
1298C24—594no—
1299C24—591no—
1300C24—594no—
1301C24—1182no—
1302C24—1182no—
1303C24—2361no—
1304C24—2361no—
1305C24—2361no—
1306C24—2361no—
1307C24—2361no—
1308C24—2361no—
1309C24—2361no—
1310C24—2361no—
1311C24C23×D5911yescharacteristic
1312C24C23×D5911yescharacteristic
1313C24C23×D5911yescharacteristic
1314C24C23×D5911yescharacteristic
1315C2×D4—22no—
1316C2×D4—22no—
1317C2×D4—22no—
1318C2×D4—22no—
1319C2×D4—41no—
1320C2×D4—41no—
1321C2×D4—41no—
1322C2×D4—41no—
1323C2×D4—594no—
1324C2×D4—594no—
1325C2×D4—594no—
1326C2×D4—1182no—
1327C2×D4—1182no—
1328C2×D4—11832no—
1329C2×D4—1182no—
1330C2×D4—1182no—
1331C2×D4—1182no—
1332C2×D4—1182no—
1333C2×D4—1182no—
1334C2×D4—1182no—
1335C2×D4—1182no—
1336C2×D4—1182no—
1337C2×D4—1182no—
1338C2×D4—1182no—
1339C2×D4—1182no—
1340C2×D4—1182no—
1341C2×D4—1182no—
1342C2×D4—1182no—
1343C2×D4—1182no—
1344C2×D4—1182no—
1345C2×D4—1182no—
1346C2×D4—1182no—
1347C2×D4—2361no—
1348C2×D4—2361no—
1349C2×D4—2361no—
1350C2×D4—2361no—
1351C2×D4—23616no—
1352C2×D4D4×D5914yes—
1353C22×C4—22no—
1354C22×C4—22no—
1355C22×C4—22no—
1356C22×C4—22no—
1357C22×C4—22no—
1358C22×C4—41no—
1359C22×C4—41no—
1360C22×C4—41no—
1361C22×C4—41no—
1362C22×C4—591no—
1363C22×C4—591no—
1364C22×C4—594no—
1365C22×C4—591no—
1366C22×C4—591no—
1367C22×C4—591no—
1368C22×C4—591no—
1369C22×C4—591no—
1370C22×C4—591no—
1371C22×C4—591no—
1372C22×C4—591no—
1373C22×C4—591no—
1374C22×C4—591no—
1375C22×C4—591no—
1376C22×C4—1182no—
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—1182no—
1390C22×C4—1182no—
1391C22×C4—1182no—
1392C22×C4—1182no—
1393C22×C4—1182no—
1394C22×C4—1182no—
1395C22×C4—1182no—
1396C22×C4—1182no—
1397C22×C4—1182no—
1398C22×C4—1182no—
1399C22×C4—1182no—
1400C22×C4—1182no—
1401C22×C4—1182no—
1402C22×C4—1182no—
1403C22×C4—1182no—
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—
1420C22×C4—2361no—
1421C22×C4—2361no—
1422C22×C4—23616no—
1423C22×C4—23616no—
1424C22×C4—2361no—
1425C22×C4—2361no—
1426C22×C4—2361no—
1427C22×C4—2361no—
1428C22×C4C23×D5911yescharacteristic
1429C22×C4C23×D5911yescharacteristic
1430C22×C4C23×D5911yescharacteristic
1431C22×C4C23×D5911yescharacteristic
1432C22×C4C23×D5911yescharacteristic
1433C22×C4C23×D5911yescharacteristic
1434C22×C4C23×D5911yescharacteristic
1435C22×C4C23×D5911yescharacteristic
1436C22×C4C23×D5911yescharacteristic
1437C22×C4C23×D5911yescharacteristic
1438C22×C4C23×D5911yescharacteristic
1439C4⋊C4—22no—
1440C4⋊C4—22no—
1441C4⋊C4—41no—
1442C4⋊C4—41no—
1443C4⋊C4—41no—
1444C4⋊C4—1182no—
1445C4⋊C4—1182no—
1446C4⋊C4—1182no—
1447C4⋊C4—1182no—
1448C4⋊C4—1182no—
1449C4⋊C4—1182no—
1450C4⋊C4—1182no—
1451C4⋊C4—1182no—
1452C4⋊C4—1182no—
1453C4⋊C4—1182no—
1454C4⋊C4—2361no—
1455C4⋊C4—2361no—
1456C4⋊C4—2361no—
1457C4⋊C4—2361no—
1458C4⋊C4—2361no—
1459C4⋊C4—2361no—
1460C4⋊C4—2361no—
1461C4⋊C4—2361no—
1462C4⋊C4—2361no—
1463C22⋊C4—22no—
1464C22⋊C4—22no—
1465C22⋊C4—22no—
1466C22⋊C4—22no—
1467C22⋊C4—22no—
1468C22⋊C4—22no—
1469C22⋊C4—22no—
1470C22⋊C4—22no—
1471C22⋊C4—41no—
1472C22⋊C4—41no—
1473C22⋊C4—41no—
1474C22⋊C4—41no—
1475C22⋊C4—41no—
1476C22⋊C4—41no—
1477C22⋊C4—41no—
1478C22⋊C4—41no—
1479C22⋊C4—1182no—
1480C22⋊C4—1182no—
1481C22⋊C4—1182no—
1482C22⋊C4—1182no—
1483C22⋊C4—1182no—
1484C22⋊C4—1182no—
1485C22⋊C4—1182no—
1486C22⋊C4—1182no—
1487C22⋊C4—1182no—
1488C22⋊C4—1182no—
1489C22⋊C4—1182no—
1490C22⋊C4—1182no—
1491C22⋊C4—1182no—
1492C22⋊C4—1182no—
1493C22⋊C4—1182no—
1494C22⋊C4—1182no—
1495C22⋊C4—1182no—
1496C22⋊C4—1182no—
1497C22⋊C4—1182no—
1498C22⋊C4—1182no—
1499C22⋊C4—1182no—
1500C22⋊C4—1182no—
1501C22⋊C4—1182no—
1502C22⋊C4—1182no—
1503C22⋊C4—2361no—
1504C22⋊C4—2361no—
1505C22⋊C4—2361no—
1506C22⋊C4—2361no—
1507C22⋊C4—2361no—
1508C22⋊C4—2361no—
1509C22⋊C4—2361no—
1510C22⋊C4—2361no—
1511C22⋊C4—2361no—
1512C22⋊C4—2361no—
1513C22⋊C4—2361no—
1514C22⋊C4—2361no—
1515C42—22no—
1516C42—1182no—
1517C42—1182no—
1518C42—1182no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—21no—
1529C23—21no—
1530C23—21no—
1531C23—21no—
1532C23—21no—
1533C23—21no—
1534C23—21no—
1535C23—21no—
1536C23—21no—
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—44no—
1544C23—44no—
1545C23—44no—
1546C23—82no—
1547C23—82no—
1548C23—82no—
1549C23—82no—
1550C23—592no—
1551C23—592no—
1552C23—592no—
1553C23—592no—
1554C23—592no—
1555C23—592no—
1556C23—5916no—
1557C23—592no—
1558C23—1188no—
1559C23—1181no—
1560C23—1181no—
1561C23—1181no—
1562C23—1181no—
1563C23—1181no—
1564C23—1181no—
1565C23—1181no—
1566C23—1181no—
1567C23—1181no—
1568C23—1181no—
1569C23—1181no—
1570C23—1181no—
1571C23—1181no—
1572C23—1181no—
1573C23—2364no—
1574C23—2364no—
1575C23—2364no—
1576C23—2364no—
1577C23—2364no—
1578C23—2364no—
1579C23—2364no—
1580C23—2364no—
1581C23—2364no—
1582C23—2364no—
1583C23—2364no—
1584C23—2364no—
1585C23C2×D4×D5912yes—
1586C23C2×D4×D5912yes—
1587C23#41×D5912yes—
1588C23#41×D5912yes—
1589C23C24×D5911yescharacteristic
1590D4—28no—
1591D4—82no—
1592D4—82no—
1593D4—1188no—
1594D4—1188no—
1595D4—1188no—
1596D4—4722no—
1597D4—4722no—
1598D4—2364no—
1599D4—2364no—
1600D4—2364no—
1601D4—2364no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—44no—
1634C2×C4—44no—
1635C2×C4—82no—
1636C2×C4—592no—
1637C2×C4—592no—
1638C2×C4—1188no—
1639C2×C4—1188no—
1640C2×C4—1181no—
1641C2×C4—1181no—
1642C2×C4—1181no—
1643C2×C4—1181no—
1644C2×C4—1181no—
1645C2×C4—1181no—
1646C2×C4—1181no—
1647C2×C4—1181no—
1648C2×C4—1181no—
1649C2×C4—1181no—
1650C2×C4—1181no—
1651C2×C4—1181no—
1652C2×C4—1181no—
1653C2×C4—1181no—
1654C2×C4—1181no—
1655C2×C4—1181no—
1656C2×C4—1181no—
1657C2×C4—1181no—
1658C2×C4—1181no—
1659C2×C4—1181no—
1660C2×C4—1181no—
1661C2×C4—1181no—
1662C2×C4—1181no—
1663C2×C4—1181no—
1664C2×C4—1181no—
1665C2×C4—1181no—
1666C2×C4—1181no—
1667C2×C4—1181no—
1668C2×C4—1181no—
1669C2×C4—1181no—
1670C2×C4—1181no—
1671C2×C4—1181no—
1672C2×C4—1181no—
1673C2×C4—1181no—
1674C2×C4—1181no—
1675C2×C4—1181no—
1676C2×C4—1181no—
1677C2×C4—4722no—
1678C2×C4—4722no—
1679C2×C4—4722no—
1680C2×C4—2364no—
1681C2×C4—2364no—
1682C2×C4—2364no—
1683C2×C4—2364no—
1684C2×C4—2364no—
1685C2×C4—2364no—
1686C2×C4—2364no—
1687C2×C4—2364no—
1688C2×C4—2364no—
1689C2×C4—2364no—
1690C2×C4—2364no—
1691C2×C4—2364no—
1692C2×C4C2×D4×D5912yes—
1693C2×C4#1427377212yes—
1694C22—22no—
1695C22—22no—
1696C22—22no—
1697C22—22no—
1698C22—22no—
1699C22—22no—
1700C22—22no—
1701C22—22no—
1702C22—22no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—88no—
1722C22—594no—
1723C22—594no—
1724C22—1182no—
1725C22—1182no—
1726C22—1182no—
1727C22—1182no—
1728C22—1182no—
1729C22—1182no—
1730C22—1182no—
1731C22—1182no—
1732C22—1182no—
1733C22—1182no—
1734C22—1182no—
1735C22—1182no—
1736C22—1182no—
1737C22—1182no—
1738C22—1182no—
1739C22—23616no—
1740C22—23616no—
1741C22—2361no—
1742C22—2361no—
1743C22—2361no—
1744C22—2361no—
1745C22#123×D5914yes—
1746C22C22×D4×D5911yescharacteristic
1747C22C2×#41×D5911yescharacteristic
1748C22C2×#41×D5911yescharacteristic
1749C22H(5,𝔽2)×D5911yescharacteristic
1750C22C2×#1427377211yescharacteristic
1751C22#1683823711yescharacteristic
1752C22#1683823811yescharacteristic
1753C4—22no—
1754C4—22no—
1755C4—41no—
1756C4—41no—
1757C4—41no—
1758C4—41no—
1759C4—41no—
1760C4—41no—
1761C4—41no—
1762C4—41no—
1763C4—41no—
1764C4—1182no—
1765C4—1182no—
1766C4—2361no—
1767C4—2361no—
1768C4—2361no—
1769C4—2361no—
1770C4—2361no—
1771C4—2361no—
1772C4—2361no—
1773C4—2361no—
1774C4—2361no—
1775C4—2361no—
1776C4—2361no—
1777C2—24no—
1778C2—42no—
1779C2—81no—
1780C2—81no—
1781C2—1184no—
1782C2—1184no—
1783C2—2362no—
1784C2C2×#123×D5911yescharacteristic
1785C2#2143750311yescharacteristic
1786C2#2143750711yescharacteristic
1787C2#2143772411yescharacteristic
1788C2#2143773311yescharacteristic
1789C2#2143792311yescharacteristic
1790C2#2143792711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2418C2
prime radicalC2×#16837962C2
hypercenter#2418D59
hypocenterC59#34983
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2418

Complements

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

NH ≅ G/Ntype
2. C2×C4×D4×D59C2semidirect
3. #21432416C2semidirect
4. #21432416C2semidirect
5. #21432387C2semidirect
6. #21432385C2semidirect
7. #21429881C2semidirect
8. #21429875C2semidirect
9. #21429868C2semidirect
10. #21429868C2semidirect
11. #21427853C2semidirect
12. #21427849C2semidirect
13. #21427843C2semidirect
14. #21427839C2semidirect
15. #21427838C2semidirect
16. #21427834C2semidirect
17. #21427828C2semidirect
18. #21427824C2semidirect
19. #21427579C2semidirect
20. #21427575C2semidirect
21. #21427571C2semidirect
22. #21427567C2semidirect
23. #21427562C2semidirect
24. #21427558C2semidirect
25. #21427554C2semidirect
26. #21426709C2semidirect
27. #21426672C2semidirect
28. #21426670C2semidirect
29. C2×#16837278C2semidirect
30. #385×D59C2semidirect
31. C59×#2418C2semidirect
35. C23×C4×D59C22semidirect
40. C2×#14273709C22semidirect
41. C2×#14273709C22semidirect
43. C2×#14273708C22semidirect
51. C2×C4×D236C22semidirect
53. C2×#14273689C22semidirect
55. C2×C4×C22⋊D59C22semidirect
57. C2×(C22⋊D59)⋊C4C22semidirect
59. C2×C4⋊C4×D59C22semidirect
60. C2×C4⋊C4×D59C22semidirect
61. C2×C4⋊C4×D59C22semidirect
62. C22×C22⋊Dic59C22semidirect
67. C2×C22⋊C4×D59C22semidirect
68. C2×C42×D59C22semidirect
69. #16837344C22semidirect
70. #16837344C22semidirect
71. #16837342C22semidirect
72. #16837340C22semidirect
73. #16837338C22semidirect
74. #16837338C22semidirect
75. #16837338C22semidirect
76. #16837335C22semidirect
77. #16837335C22semidirect
78. #16837334C22semidirect
79. #16837333C22semidirect
80. #16837331C22semidirect
81. #16837331C22semidirect
82. #16837330C22semidirect
83. #16837330C22semidirect
84. #16837330C22semidirect
85. #16837330C22semidirect
86. #16837328C22semidirect
87. #16837328C22semidirect
88. #16837327C22semidirect
89. #16837327C22semidirect
90. #16837327C22semidirect
91. #16837318C22semidirect
92. #16837318C22semidirect
93. #16837317C22semidirect
94. #16837317C22semidirect
95. #16837316C22semidirect
96. #16837316C22semidirect
97. #16837296C22semidirect
98. #16837296C22semidirect
99. #16837295C22semidirect
100. #16837295C22semidirect
101. #16837290C22semidirect
102. #16837290C22semidirect
103. #16837289C22semidirect
104. #16837289C22semidirect
105. #16837288C22semidirect
106. #16837288C22semidirect
107. #16837287C22semidirect
108. #16837287C22semidirect
109. #16837286C22semidirect
110. #16837286C22semidirect
112. #16837282C22semidirect
114. #16837280C22semidirect
115. #16837280C22semidirect
125. #16837278C22semidirect
126. #16837278C22semidirect
127. #16837278C22semidirect
128. #16837278C22semidirect
129. #16837278C22semidirect
130. #16837278C22semidirect
131. #16837278C22semidirect
132. #16837278C22semidirect
133. #16837278C22semidirect
134. #16837278C22semidirect
135. #16837278C22semidirect
136. #16837278C22semidirect
137. #16837277C22semidirect
138. #16837277C22semidirect
139. #16837276C22semidirect
140. #16837276C22semidirect
141. #16837276C22semidirect
142. #16837276C22semidirect
143. #16837276C22semidirect
144. #16837276C22semidirect
145. #16837275C22semidirect
146. #16837275C22semidirect
147. #16837274C22semidirect
148. #16837273C22semidirect
149. #16837273C22semidirect
150. #16837273C22semidirect
151. #16837273C22semidirect
152. #16837273C22semidirect
153. #16837273C22semidirect
154. #16837273C22semidirect
155. #16837273C22semidirect
156. #16837265C22semidirect
157. #16837264C22semidirect
158. #16837264C22semidirect
159. #16837264C22semidirect
160. #16837264C22semidirect
161. #16837263C22semidirect
162. #16837263C22semidirect
163. #16837263C22semidirect
164. #16837262C22semidirect
165. #16837260C22semidirect
166. #16837260C22semidirect
167. #16837258C22semidirect
168. #16837257C22semidirect
169. #16837257C22semidirect
170. C2×C59⋊#95C22semidirect
171. C2×C59⋊#95C22semidirect
172. #95×D59C22semidirect
173. #95×D59C22semidirect
174. C2×#123×C59C22semidirect
177. C22×C22⋊C4×C59C22semidirect
178. C59×#399C22semidirect
179. C59×#397C22semidirect
180. C59×#394C22semidirect
181. C59×#394C22semidirect
182. C59×#388C22semidirect
183. C59×#388C22semidirect
185. C59×#386C22semidirect
186. C59×#385C22semidirect
187. C59×#380C22semidirect
188. C59×#379C22semidirect
686. C22×D59#123semidirect
907. #2418D59semidirect
939. C2×#123C2×D59semidirect
966. C22×C22⋊C4C2×D59semidirect
975. #399C2×D59semidirect
991. #397C2×D59semidirect
998. #394C2×D59semidirect
999. #394C2×D59semidirect
1006. #388C2×D59semidirect
1007. #388C2×D59semidirect
1043. #386C2×D59semidirect
1063. #385C2×D59semidirect
1075. #380C2×D59semidirect
1079. #379C2×D59semidirect
1084. C59#34983semidirect

Maximal subgroups

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

subgroupindex
C2×#168379622
C2×C4×D4×D592
#214324162
#214323872
#214323852
#214298812
#214298752
#214298682
#214278532
#214278492
#214278432
#214278392
#214278382
#214278342
#214278282
#214278242
#214275792
#214275752
#214275712
#214275672
#214275622
#214275582
#214275542
#214267092
#214266722
#214266702
C2×#168372782
#385×D592
C59×#24182
#3498359