Finite Group Databasebeta

← #28796204

Subgroups — #28796204

Order 15104.

2440 conjugacy classes of subgroups.

The subgroup lattice has 1800 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16838003C211yesmaximal, characteristic, complemented
2#21432439C211yesmaximal, characteristic, complemented
3#21432425C211yesmaximal, characteristic, complemented
4#21430987C211yesmaximal, characteristic, complemented
5#21430888C211yesmaximal, characteristic, complemented
6#21430612C211yesmaximal, characteristic, complemented
7#21430444C211yesmaximal, characteristic, complemented
8#21430435C211yesmaximal, characteristic, complemented
9#21430417C211yesmaximal, characteristic, complemented
10#21430392C211yesmaximal, characteristic, complemented
11#21430386C211yesmaximal, characteristic, complemented
12#21430362C211yesmaximal, characteristic, complemented
13#21430358C211yesmaximal, characteristic, complemented
14#21430342C211yesmaximal, characteristic, complemented
15#21430328C211yesmaximal, characteristic, complemented
16#21430327C211yesmaximal, characteristic, complemented
17#21430313C211yesmaximal, characteristic, complemented
18#21430310C211yesmaximal, characteristic, complemented
19#21430300C211yesmaximal, characteristic, complemented
20#21430225C211yesmaximal, characteristic, complemented
21#21430224C211yesmaximal, characteristic, complemented
22#21429785C211yesmaximal, characteristic, complemented
23#21429725C211yesmaximal, characteristic, complemented
24#21429708C211yesmaximal, characteristic, complemented
25#21429695C211yesmaximal, characteristic, complemented
26#21429036C211yesmaximal, characteristic, complemented
27#21429027C211yesmaximal, characteristic, complemented
28#21427514C211yesmaximal, characteristic, complemented
29#21427481C211yesmaximal, characteristic, complemented
30#21426541C211yesmaximal, characteristic, complemented
31C2×C59×#538C211yesmaximal, characteristic, complemented
32#16838003—28no—
33C2×#14273723C2211yescharacteristic
34C2×#14273723C2211yescharacteristic
35C2×#14273718C2211yescharacteristic, complemented
36C2×#14273710C2211yescharacteristic
37C2×#14273710C2211yescharacteristic
38C2×#14273710C2211yescharacteristic
39C2×#14273710C2211yescharacteristic, complemented
40C2×#14273709C2211yescharacteristic
41C2×#14273709C2211yescharacteristic, complemented
42C2×#14273703C2211yescharacteristic, complemented
43C2×#14273703C2211yescharacteristic, complemented
44C2×#14273702C2211yescharacteristic, complemented
45C2×#14273701C2211yescharacteristic
46C2×#14273701C2211yescharacteristic, complemented
47C2×#14273701C2211yescharacteristic, complemented
48C2×#14273700C2211yescharacteristic
49C2×#14273700C2211yescharacteristic, complemented
50C2×#14273699C2211yescharacteristic
51C2×#14273699C2211yescharacteristic
52C2×#14273699C2211yescharacteristic
53C2×#14273699C2211yescharacteristic, complemented
54C2×#14273699C2211yescharacteristic, complemented
55C2×#14273698C2211yescharacteristic
56C2×#14273698C2211yescharacteristic
57C2×#14273698C2211yescharacteristic
58C2×#14273696C2211yescharacteristic
59C2×#14273696C2211yescharacteristic
60C2×#14273696C2211yescharacteristic
61C2×C4×D236C2211yescharacteristic, complemented
62C2×#14273686C2211yescharacteristic
63C2×#14273684C2211yescharacteristic, complemented
64C22×C4×Dic59C2211yescharacteristic, complemented
65#16837338C2211yescharacteristic
66#16837338C2211yescharacteristic
67#16837338C2211yescharacteristic
68#16837338C2211yescharacteristic, complemented
69#16837335C2211yescharacteristic, complemented
70#16837333C2211yescharacteristic, complemented
71#16837332C2211yescharacteristic, complemented
72#16837332C2211yescharacteristic, complemented
73#16837330C2211yescharacteristic
74#16837328C2211yescharacteristic, complemented
75#16837327C2211yescharacteristic
76#16837327C2211yescharacteristic
77#16837325C2211yescharacteristic
78#16837325C2211yescharacteristic
79#16837325C2211yescharacteristic
80#16837324C2211yescharacteristic, complemented
81#16837321C2211yescharacteristic, complemented
82#16837319C2211yescharacteristic, complemented
83#16837319C2211yescharacteristic, complemented
84#16837318C2211yescharacteristic
85#16837318C2211yescharacteristic
86#16837318C2211yescharacteristic
87#16837317C2211yescharacteristic
88#16837317C2211yescharacteristic
89#16837317C2211yescharacteristic
90#16837317C2211yescharacteristic, complemented
91#16837317C2211yescharacteristic, complemented
92#16837316C2211yescharacteristic
93#16837316C2211yescharacteristic
94#16837316C2211yescharacteristic
95#16837316C2211yescharacteristic
96#16837316C2211yescharacteristic, complemented
97#16837313C2211yescharacteristic, complemented
98#16837311C2211yescharacteristic
99#16837311C2211yescharacteristic
100#16837311C2211yescharacteristic
101#16837311C2211yescharacteristic
102#16837311C2211yescharacteristic
103#16837311C2211yescharacteristic, complemented
104#16837310C2211yescharacteristic
105#16837310C2211yescharacteristic
106#16837310C2211yescharacteristic
107#16837310C2211yescharacteristic
108#16837310C2211yescharacteristic
109#16837310C2211yescharacteristic
110#16837310C2211yescharacteristic
111#16837310C2211yescharacteristic
112#16837310C2211yescharacteristic, complemented
113#16837305C2211yescharacteristic
114#16837304C2211yescharacteristic, complemented
115#16837303C2211yescharacteristic, complemented
116#16837302C2211yescharacteristic
117#16837302C2211yescharacteristic
118#16837302C2211yescharacteristic
119#16837302C2211yescharacteristic
120#16837302C2211yescharacteristic
121#16837302C2211yescharacteristic
122#16837302C2211yescharacteristic
123#16837302C2211yescharacteristic, complemented
124#16837302C2211yescharacteristic, complemented
125#16837302C2211yescharacteristic, complemented
126#16837300C2211yescharacteristic, complemented
127#16837297C2211yescharacteristic, complemented
128#16837297C2211yescharacteristic, complemented
129#16837296C2211yescharacteristic
130#16837296C2211yescharacteristic
131#16837296C2211yescharacteristic
132#16837296C2211yescharacteristic, complemented
133#16837295C2211yescharacteristic
134#16837295C2211yescharacteristic
135#16837293C2211yescharacteristic, complemented
136#16837292C2211yescharacteristic, complemented
137#16837292C2211yescharacteristic, complemented
138#16837292C2211yescharacteristic, complemented
139#16837292C2211yescharacteristic, complemented
140#16837290C2211yescharacteristic
141#16837290C2211yescharacteristic
142#16837290C2211yescharacteristic, complemented
143#16837288C2211yescharacteristic, complemented
144#16837288C2211yescharacteristic, complemented
145#16837286C2211yescharacteristic, complemented
146#16837283C2211yescharacteristic, complemented
147#16837282C2211yescharacteristic
148#16837282C2211yescharacteristic
149#16837282C2211yescharacteristic
150#16837281C2211yescharacteristic
151#16837281C2211yescharacteristic, complemented
152#16837279C2211yescharacteristic, complemented
153#16837278C2211yescharacteristic
154#16837278C2211yescharacteristic
155#16837278C2211yescharacteristic
156#16837278C2211yescharacteristic
157#16837278C2211yescharacteristic, complemented
158#16837277C2211yescharacteristic, complemented
159#16837277C2211yescharacteristic, complemented
160#16837275C2211yescharacteristic
161#16837275C2211yescharacteristic, complemented
162#16837273C2211yescharacteristic, complemented
163#16837273C2211yescharacteristic, complemented
164#16837273C2211yescharacteristic, complemented
165#16837271C2211yescharacteristic, complemented
166#16837262C2211yescharacteristic, complemented
167#16837260C2211yescharacteristic, complemented
168#16837258C2211yescharacteristic
169C4×C4⋊Dic59C2211yescharacteristic, complemented
170C4×C22⋊Dic59C2211yescharacteristic
171C4×C22⋊Dic59C2211yescharacteristic, complemented
172#16837248C2211yescharacteristic, complemented
173C59×#538—28no—
174C2×#126×C59C2211yescharacteristic
175C2×#126×C59C2211yescharacteristic
176C2×#124×C59C2211yescharacteristic
177C2×#124×C59C2211yescharacteristic
178C2×#123×C59C2211yescharacteristic
179C2×#123×C59C2211yescharacteristic
180C2×C22⋊Q8×C59C2211yescharacteristic
181C2×#121×C59C2211yescharacteristic
182C2×#121×C59C2211yescharacteristic
183C2×#121×C59C2211yescharacteristic
184C2×#120×C59C2211yescharacteristic
185C2×#120×C59C2211yescharacteristic
186C2×C4×D4×C59C2211yescharacteristic
187C2×C4×D4×C59C2211yescharacteristic
188C22×C22⋊C4×C59C2211yescharacteristic
189C22×D236C2311yescharacteristic
190C22×D236C2311yescharacteristic
191C22×D236C2311yescharacteristic
192C22×C22⋊D59C2311yescharacteristic
193C22×C22⋊D59C2311yescharacteristic
194C22×C22⋊D59C2311yescharacteristic
195C22×C22⋊D59C2311yescharacteristic
196C22×C22⋊D59C2311yescharacteristic
197C22×C22⋊D59C2311yescharacteristic
198C22×C22⋊D59C2311yescharacteristic
199C22×C22⋊D59C2311yescharacteristic
200C22×C22⋊D59C2311yescharacteristic
201C22×C22⋊D59C2311yescharacteristic
202C22×C22⋊D59C2311yescharacteristic
203C22×C22⋊D59C2311yescharacteristic
204C22×C22⋊D59C2311yescharacteristic
205C22×C22⋊D59C2311yescharacteristic
206C22×C22⋊D59C2311yescharacteristic
207C23×Dic59C2311yescharacteristic
208C23×Dic59C2311yescharacteristic
209C22×C4×D59C2311yescharacteristic
210C22×C4×D59C2311yescharacteristic
211C22×C4×D59C2311yescharacteristic
212#14273723—24no—
213#14273723—42no—
214#14273718—24no—
215#14273710—24no—
216#14273710—24no—
217#14273710—42no—
218#14273710—42no—
219#14273709—24no—
220#14273709—24no—
221#14273703—42no—
222#14273703—42no—
223#14273702—24no—
224#14273701—24no—
225#14273701—24no—
226#14273701—42no—
227#14273700—24no—
228#14273700—24no—
229#14273699—42no—
230#14273699—42no—
231#14273699—42no—
232#14273699—42no—
233#14273699—42no—
234#14273698—24no—
235#14273698—42no—
236#14273698—42no—
237#14273696—42no—
238#14273696—42no—
239#14273696—42no—
240C4×D236—24no—
241#14273686—42no—
242#14273684—24no—
243C2×C4⋊Dic59C2311yescharacteristic
244C2×C4⋊Dic59C2311yescharacteristic
245C2×C4⋊Dic59C2311yescharacteristic
246C2×C4⋊Dic59C2311yescharacteristic
247C2×C4⋊Dic59C2311yescharacteristic
248C2×C4⋊Dic59C2311yescharacteristic
249C2×C4⋊Dic59C2311yescharacteristic
250C2×Dic59⋊C4C2311yescharacteristic
251C2×Dic59⋊C4C2311yescharacteristic
252C2×Dic59⋊C4C2311yescharacteristic
253C2×Dic59⋊C4C2311yescharacteristic
254C2×Dic59⋊C4C2311yescharacteristic
255C2×Dic59⋊C4C2311yescharacteristic
256C2×Dic59⋊C4C2311yescharacteristic
257C2×Dic59⋊C4C2311yescharacteristic
258C2×Dic59⋊C4C2311yescharacteristic
259C2×Dic59⋊C4C2311yescharacteristic
260C2×Dic59⋊C4C2311yescharacteristic
261C2×Dic59⋊C4C2311yescharacteristic
262C2×Dic59⋊C4C2311yescharacteristic
263C2×Dic59⋊C4C2311yescharacteristic
264C2×Dic59⋊C4C2311yescharacteristic
265C2×C22⋊Dic59C2311yescharacteristic
266C2×C22⋊Dic59C2311yescharacteristic
267C2×C22⋊Dic59C2311yescharacteristic
268C2×C22⋊Dic59C2311yescharacteristic
269C2×C22⋊Dic59C2311yescharacteristic
270C2×C22⋊Dic59C2311yescharacteristic
271C2×C22⋊Dic59C2311yescharacteristic
272C2×C22⋊Dic59C2311yescharacteristic
273C2×C22⋊Dic59C2311yescharacteristic
274C2×C22⋊Dic59C2311yescharacteristic
275C2×C22⋊Dic59C2311yescharacteristic
276C2×C22⋊Dic59C2311yescharacteristic
277C2×C22⋊Dic59C2311yescharacteristic
278C2×C22⋊Dic59C2311yescharacteristic
279C2×C22⋊Dic59C2311yescharacteristic
280C2×C22⋊Dic59C2311yescharacteristic
281C2×C22⋊Dic59C2311yescharacteristic
282C2×C22⋊Dic59C2311yescharacteristic
283C2×C22⋊Dic59C2311yescharacteristic
284C2×C22⋊Dic59C2311yescharacteristic
285C2×C22⋊Dic59C2311yescharacteristic
286C2×C22⋊Dic59C2311yescharacteristic
287C2×C22⋊Dic59C2311yescharacteristic
288C2×(C2×D59)⋊C4C2311yescharacteristic
289C2×(C2×D59)⋊C4C2311yescharacteristic
290C2×(C2×D59)⋊C4C2311yescharacteristic
291C2×(C2×D59)⋊C4C2311yescharacteristic
292C2×(C2×D59)⋊C4C2311yescharacteristic
293C2×(C2×D59)⋊C4C2311yescharacteristic
294C2×(C2×D59)⋊C4C2311yescharacteristic
295C2×(C2×D59)⋊C4C2311yescharacteristic
296C2×(C2×D59)⋊C4C2311yescharacteristic
297C2×(C2×D59)⋊C4C2311yescharacteristic
298C2×(C2×D59)⋊C4C2311yescharacteristic
299C2×(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×C4×Dic59—42no—
310C2×C4×Dic59C2311yescharacteristic
311C2×C4×Dic59C2311yescharacteristic
312C2×C4×Dic59C2311yescharacteristic
313C2×C4×Dic59C2311yescharacteristic
314C2×C4×Dic59C2311yescharacteristic
315C2×C4×Dic59C2311yescharacteristic
316C2×C4×Dic59C2311yescharacteristic
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
334C59⋊#95C2311yescharacteristic
335C59⋊#95C2311yescharacteristic
336C59⋊#95C2311yescharacteristic
337C59⋊#95C2311yescharacteristic
338C59⋊#95C2311yescharacteristic
339C59⋊#95C2311yescharacteristic
340C59⋊#95C2311yescharacteristic
341C25×C59C2311yescharacteristic
342C22×Q8×C59C2311yescharacteristic
343C22×D4×C59C2311yescharacteristic
344C22×D4×C59C2311yescharacteristic
345C22×D4×C59C2311yescharacteristic
346C22×D4×C59C2311yescharacteristic
347C22×D4×C59C2311yescharacteristic
348C22×D4×C59C2311yescharacteristic
349C22×D4×C59C2311yescharacteristic
350C23×C4×C59C2311yescharacteristic
351C23×C4×C59C2311yescharacteristic
352C23×C4×C59C2311yescharacteristic
353C23×C4×C59C2311yescharacteristic
354#126×C59—24no—
355#126×C59—24no—
356#124×C59—24no—
357#124×C59—24no—
358#123×C59—24no—
359#123×C59—24no—
360C22⋊Q8×C59—24no—
361#121×C59—24no—
362#121×C59—24no—
363#121×C59—24no—
364#120×C59—24no—
365#120×C59—24no—
366C4×D4×C59—24no—
367C4×D4×C59D418yescomplemented
368C2×C4⋊C4×C59C2311yescharacteristic
369C2×C4⋊C4×C59C2311yescharacteristic
370C2×C4⋊C4×C59C2311yescharacteristic
371C2×C4⋊C4×C59C2311yescharacteristic
372C2×C4⋊C4×C59C2311yescharacteristic
373C2×C4⋊C4×C59C2311yescharacteristic
374C2×C22⋊C4×C59—24no—
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×C22⋊C4×C59C2311yescharacteristic
385C2×C22⋊C4×C59C2311yescharacteristic
386C2×C22⋊C4×C59C2311yescharacteristic
387C2×C22⋊C4×C59C2311yescharacteristic
388C2×C22⋊C4×C59C2311yescharacteristic
389C2×C42×C59C2311yescharacteristic
390C2×C42×C59C2311yescharacteristic
391C24×C59—22no—
392C24×C59—41no—
393C24×C59—41no—
394C24×C59—41no—
395C24×C59—41no—
396C24×C59—41no—
397C24×C59—41no—
398C24×C59C2411yescharacteristic
399C24×C59C2411yescharacteristic
400C24×C59C2411yescharacteristic
401C24×C59C2411yescharacteristic
402C24×C59C2411yescharacteristic
403C23×D59C2411yescharacteristic
404C23×D59C2411yescharacteristic
405C23×D59C2411yescharacteristic
406C2×Q8×C59—22no—
407C2×Q8×C59—41no—
408C2×Q8×C59—41no—
409C2×D4×C59—22no—
410C2×D4×C59—22no—
411C2×D4×C59—22no—
412C2×D4×C59—22no—
413C2×D4×C59—22no—
414C2×D4×C59—22no—
415C2×D4×C59—41no—
416C2×D4×C59—41no—
417C2×D4×C59—41no—
418C2×D4×C59—41no—
419C2×D4×C59—41no—
420C2×D4×C59—41no—
421C2×D4×C59—41no—
422C2×D4×C59—41no—
423C2×D4×C59—41no—
424C2×D4×C59—41no—
425C2×D4×C59—41no—
426C2×D4×C59—41no—
427C2×D4×C59—41no—
428C2×D4×C59—41no—
429C2×D4×C59C2×D414yes—
430C22×C4×C59—22no—
431C22×C4×C59—22no—
432C22×C4×C59—41no—
433C22×C4×C59—41no—
434C22×C4×C59—41no—
435C22×C4×C59—41no—
436C22×C4×C59—41no—
437C22×C4×C59—41no—
438C22×C4×C59—41no—
439C22×C4×C59—41no—
440C22×C4×C59C2×D414yes—
441C22×C4×C59C2×D414yes—
442C22×C4×C59C2411yescharacteristic
443C22×C4×C59C2411yescharacteristic
444C22×C4×C59C2411yescharacteristic
445C22×C4×C59C2411yescharacteristic
446C22×C4×C59C2411yescharacteristic
447C22×C4×C59C2411yescharacteristic
448C22×C4×C59C2411yescharacteristic
449C22×C4×C59C2411yescharacteristic
450C22×C4×C59C2411yescharacteristic
451C22×C4×C59C2411yescharacteristic
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—41no—
464C2×C22⋊D59—41no—
465C2×C22⋊D59—41no—
466C2×C22⋊D59—41no—
467C2×C22⋊D59—41no—
468C2×C22⋊D59—41no—
469C2×C22⋊D59—41no—
470C2×C22⋊D59—41no—
471C2×C22⋊D59—41no—
472C2×C22⋊D59—41no—
473C2×C22⋊D59—41no—
474C2×C22⋊D59—41no—
475C2×C22⋊D59—41no—
476C2×C22⋊D59—41no—
477C2×C22⋊D59—41no—
478C2×C22⋊D59—41no—
479C2×C22⋊D59—41no—
480C2×C22⋊D59—41no—
481C2×C22⋊D59—41no—
482C2×C22⋊D59—41no—
483C2×C22⋊D59—41no—
484C2×C22⋊D59—41no—
485C2×C22⋊D59—41no—
486C2×C22⋊D59—41no—
487C2×C22⋊D59—41no—
488C2×C22⋊D59—41no—
489C2×C22⋊D59—41no—
490C2×C22⋊D59—41no—
491C2×C22⋊D59—41no—
492C2×C22⋊D59—41no—
493C2×C22⋊D59—41no—
494C2×C22⋊D59—41no—
495C2×C22⋊D59—41no—
496C2×C22⋊D59—41no—
497C22×Dic59—22no—
498C22×Dic59—22no—
499C22×Dic59—22no—
500C22×Dic59—41no—
501C22×Dic59—41no—
502C22×Dic59—41no—
503C22×Dic59C2411yescharacteristic
504C22×Dic59C2411yescharacteristic
505C22×Dic59C2411yescharacteristic
506C22×Dic59C2411yescharacteristic
507C22×Dic59C2411yescharacteristic
508C22×Dic59C2411yescharacteristic
509C22×Dic59C2411yescharacteristic
510C22×Dic59C2411yescharacteristic
511C22×Dic59C2411yescharacteristic
512C22×Dic59C2411yescharacteristic
513C22×Dic59C2411yescharacteristic
514C22×Dic59C2411yescharacteristic
515C22×Dic59C2411yescharacteristic
516C2×D236—22no—
517C2×D236—22no—
518C2×D236—22no—
519C2×D236—41no—
520C2×D236—41no—
521C2×D236—41no—
522C2×D236—41no—
523C2×D236—41no—
524C2×D236—41no—
525C2×C4×D59—22no—
526C2×C4×D59—22no—
527C2×C4×D59—22no—
528C2×C4×D59—41no—
529C2×C4×D59—41no—
530C2×C4×D59—41no—
531C2×C4×D59—41no—
532C2×C4×D59—41no—
533C2×C4×D59—41no—
534C4⋊C4×C59—22no—
535C4⋊C4×C59—22no—
536C4⋊C4×C59—22no—
537C4⋊C4×C59—22no—
538C4⋊C4×C59—22no—
539C4⋊C4×C59C2×D414yes—
540C22⋊C4×C59—22no—
541C22⋊C4×C59—22no—
542C22⋊C4×C59—22no—
543C22⋊C4×C59—22no—
544C22⋊C4×C59—22no—
545C22⋊C4×C59—22no—
546C22⋊C4×C59—22no—
547C22⋊C4×C59—22no—
548C22⋊C4×C59—22no—
549C22⋊C4×C59—22no—
550C22⋊C4×C59—22no—
551C22⋊C4×C59—22no—
552C22⋊C4×C59C2×D414yes—
553C22⋊C4×C59C2×D414yes—
554C42×C59—22no—
555C42×C59C2×D414yes—
556C22⋊Dic59—22no—
557C22⋊Dic59—22no—
558C22⋊Dic59—22no—
559C22⋊Dic59—22no—
560C22⋊Dic59—22no—
561C22⋊Dic59—22no—
562C22⋊Dic59—22no—
563C22⋊Dic59—22no—
564C22⋊Dic59—22no—
565C22⋊Dic59—41no—
566C22⋊Dic59—41no—
567C22⋊Dic59—41no—
568C22⋊Dic59—41no—
569C22⋊Dic59—41no—
570C22⋊Dic59—41no—
571C22⋊Dic59—41no—
572C22⋊Dic59—41no—
573C22⋊Dic59—41no—
574C22⋊Dic59—41no—
575C22⋊Dic59—41no—
576C22⋊Dic59—41no—
577C22⋊Dic59—41no—
578C22⋊Dic59—41no—
579(C2×D59)⋊C4—22no—
580(C2×D59)⋊C4—22no—
581(C2×D59)⋊C4—22no—
582(C2×D59)⋊C4—22no—
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—41no—
590(C2×D59)⋊C4—41no—
591(C2×D59)⋊C4—41no—
592(C2×D59)⋊C4—41no—
593(C2×D59)⋊C4—41no—
594(C2×D59)⋊C4—41no—
595(C2×D59)⋊C4—41no—
596(C2×D59)⋊C4—41no—
597(C2×D59)⋊C4—41no—
598(C2×D59)⋊C4—41no—
599(C2×D59)⋊C4—41no—
600C4⋊Dic59—22no—
601C4⋊Dic59—22no—
602C4⋊Dic59—22no—
603C4⋊Dic59—22no—
604C4⋊Dic59—22no—
605C4⋊Dic59—22no—
606C4⋊Dic59—41no—
607Dic59⋊C4—22no—
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—
620Dic59⋊C4—41no—
621Dic59⋊C4—41no—
622C4×Dic59—22no—
623C4×Dic59—22no—
624C4×Dic59—22no—
625C4×Dic59—41no—
626C4×Dic59—41no—
627C4×Dic59—41no—
628C4×Dic59—41no—
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—21no—
648C23×C59—21no—
649C23×C59—21no—
650C23×C59—21no—
651C23×C59—21no—
652C23×C59—21no—
653C23×C59—21no—
654C23×C59—21no—
655C23×C59—21no—
656C23×C59—21no—
657C23×C59—21no—
658C23×C59—21no—
659C23×C59—21no—
660C23×C59—21no—
661C23×C59—21no—
662C23×C59—44no—
663C23×C59—82no—
664C23×C59—82no—
665C23×C59—82no—
666C23×C59—82no—
667C23×C59—82no—
668C23×C59—82no—
669C23×C59C22×D412yes—
670C23×C59C22×D412yes—
671C23×C59C2511yescharacteristic
672C22×D59—21no—
673C22×D59—21no—
674C22×D59—21no—
675C22×D59—21no—
676C22×D59—21no—
677C22×D59—21no—
678C22×D59—21no—
679C22×D59—21no—
680C22×D59—21no—
681C22×D59—21no—
682C22×D59—21no—
683C22×D59—21no—
684C22×D59—21no—
685C22×D59—21no—
686C22×D59—21no—
687C22×D59—21no—
688C22×D59—21no—
689C22×D59—21no—
690C22×D59—21no—
691C22×D59—21no—
692C22×D59—21no—
693Q8×C59—82no—
694D4×C59—44no—
695D4×C59—44no—
696D4×C59—82no—
697D4×C59—82no—
698D4×C59—82no—
699D4×C59—82no—
700D4×C59—82no—
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—44no—
727C2×C4×C59—44no—
728C2×C4×C59—82no—
729C2×C4×C59—82no—
730C2×C4×C59C22×D412yes—
731C2×C4×C59C22×D412yes—
732C2×C4×C59C22×D412yes—
733C2×C4×C59C22×D412yes—
734C2×C4×C59C22×D412yes—
735C22⋊D59—82no—
736C22⋊D59—82no—
737C22⋊D59—82no—
738C22⋊D59—82no—
739C22⋊D59—82no—
740C22⋊D59—82no—
741C22⋊D59—82no—
742C22⋊D59—82no—
743C22⋊D59—82no—
744C22⋊D59—82no—
745C22⋊D59—82no—
746C22⋊D59—82no—
747C22⋊D59—82no—
748C22⋊D59—82no—
749C22⋊D59—82no—
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—21no—
779C2×Dic59—21no—
780C2×Dic59—21no—
781C2×Dic59—21no—
782C2×Dic59—21no—
783C2×Dic59—21no—
784C2×Dic59—21no—
785C2×Dic59—21no—
786C2×Dic59—44no—
787C2×Dic59—44no—
788C2×Dic59H(5,𝔽2)12yes—
789C2×Dic59H(5,𝔽2)12yes—
790C2×Dic59H(5,𝔽2)12yes—
791D236—44no—
792D236—82no—
793D236—82no—
794C4×D59—44no—
795C4×D59—82no—
796C4×D59—82no—
797#36744—591nomaximal, Sylow
798C22×C59—22no—
799C22×C59—22no—
800C22×C59—22no—
801C22×C59—22no—
802C22×C59—22no—
803C22×C59—22no—
804C22×C59—41no—
805C22×C59—41no—
806C22×C59—41no—
807C22×C59—41no—
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—41no—
827C22×C59—41no—
828C22×C59—41no—
829C22×C59—41no—
830C22×C59—41no—
831C22×C59—41no—
832C22×C59—41no—
833C22×C59—88no—
834C22×C59C23×D411yescharacteristic
835C22×C59C2×H(5,𝔽2)11yescharacteristic
836C22×C59C2×H(5,𝔽2)11yescharacteristic
837C22×C59C2×H(5,𝔽2)11yescharacteristic
838C22×C59#58511yescharacteristic
839C22×C59#58511yescharacteristic
840C22×C59#58511yescharacteristic
841C2×D59—41no—
842C2×D59—41no—
843C2×D59—41no—
844C2×D59—41no—
845C2×D59—41no—
846C2×D59—41no—
847C2×D59—41no—
848C2×D59—41no—
849C2×D59—41no—
850C2×D59—41no—
851C2×D59—41no—
852C2×D59—41no—
853C2×D59—41no—
854C2×D59—41no—
855C2×D59—41no—
856C2×D59—41no—
857C2×D59—41no—
858C2×D59—41no—
859C2×D59—41no—
860C2×D59—41no—
861C2×D59—41no—
862C4×C59—22no—
863C4×C59—22no—
864C4×C59—22no—
865C4×C59—22no—
866C4×C59—22no—
867C4×C59—41no—
868C4×C59—41no—
869C4×C59—41no—
870C4×C59—41no—
871C4×C59—41no—
872Dic59—22no—
873Dic59—22no—
874Dic59—22no—
875Dic59—41no—
876Dic59—41no—
877Dic59—41no—
878Dic59—41no—
879Dic59—41no—
880Dic59—41no—
881Dic59—41no—
882Dic59—41no—
883Dic59—41no—
884Dic59—41no—
885C2×#540—591no—
886C2×#538D5911yescharacteristic, complemented
887#2856—591no—
888#2854—591no—
889#2721—591no—
890#2714—591no—
891#2694—591no—
892#2681—591no—
893#2680—591no—
894#2678—591no—
895#2676—591no—
896#2675—591no—
897#2673—591no—
898#2673—591no—
899#2672—591no—
900#2671—591no—
901#2671—591no—
902#2669—591no—
903#2669—591no—
904#2668—591no—
905#2661—591no—
906#2661—591no—
907#2610—591no—
908#2603—591no—
909#2602—591no—
910#2601—591no—
911#2540—591no—
912#2539—591no—
913#2414—591no—
914#2411—591no—
915#2290—591no—
916C2×C59—42no—
917C2×C59—42no—
918C2×C59—81no—
919C2×C59—81no—
920C2×C59—81no—
921C2×C59#344911yescharacteristic
922C2×C59#349611yescharacteristic
923C2×C59#349811yescharacteristic
924C2×C59#353411yescharacteristic
925C2×C59#354211yescharacteristic
926C2×C59#355111yescharacteristic
927C2×C59#356211yescharacteristic
928D59—81no—
929D59—81no—
930D59—81no—
931#540—1188no—
932#538—28no—
933C2×#127—591no—
934C2×#127—591no—
935C2×#126C2×D5911yescharacteristic
936C2×#126C2×D5911yescharacteristic
937C2×#125—591no—
938C2×#124C2×D5911yescharacteristic
939C2×#124C2×D5911yescharacteristic
940C2×#123—591no—
941C2×#123—591no—
942C2×#123—591no—
943C2×#123—591no—
944C2×#123—591no—
945C2×#123—591no—
946C2×#123C2×D5911yescharacteristic
947C2×#123C2×D5911yescharacteristic
948C2×C22⋊Q8—591no—
949C2×C22⋊Q8—591no—
950C2×C22⋊Q8C2×D5911yescharacteristic
951C2×#121—591no—
952C2×#121—591no—
953C2×#121—591no—
954C2×#121—591no—
955C2×#121—591no—
956C2×#121—591no—
957C2×#121—591no—
958C2×#121—591no—
959C2×#121—591no—
960C2×#121—591no—
961C2×#121—591no—
962C2×#121—591no—
963C2×#121—591no—
964C2×#121—591no—
965C2×#121C2×D5911yescharacteristic
966C2×#121C2×D5911yescharacteristic
967C2×#121C2×D5911yescharacteristic
968C2×#120—591no—
969C2×#120—591no—
970C2×#120—591no—
971C2×#120C2×D5911yescharacteristic
972C2×#120C2×D5911yescharacteristic
973C2×C4×D4—591no—
974C2×C4×D4C2×D5911yescharacteristic
975C2×C4×D4C2×D5911yescharacteristic
976C2×#117—591no—
977C2×#117—591no—
978C22×C22⋊C4C2×D5911yescharacteristic
979C22×C42—591no—
980#399—591no—
981#399—591no—
982#399—591no—
983#399—591no—
984#398—591no—
985#398—591no—
986#398—591no—
987#398—591no—
988#397—591no—
989#397—591no—
990#397—591no—
991#397—591no—
992#396—591no—
993#396—591no—
994#396—591no—
995#396—591no—
996#395—591no—
997#394—591no—
998#394—591no—
999#394—591no—
1000#394—591no—
1001#394—591no—
1002#394—591no—
1003#394—591no—
1004#394—591no—
1005#394—591no—
1006#394—591no—
1007#394—591no—
1008#394—591no—
1009#394—591no—
1010#394—591no—
1011#394—591no—
1012#393—591no—
1013#392—591no—
1014#392—591no—
1015#392—591no—
1016#392—591no—
1017#392—591no—
1018#392—591no—
1019#392—591no—
1020#392—591no—
1021#392—591no—
1022#392—591no—
1023#392—591no—
1024#392—591no—
1025#392—591no—
1026#392—591no—
1027#392—591no—
1028#390—591no—
1029#390—591no—
1030#390—591no—
1031#390—591no—
1032#390—591no—
1033#390—591no—
1034#390—591no—
1035#390—591no—
1036#390—591no—
1037#390—591no—
1038#390—591no—
1039#390—591no—
1040#390—591no—
1041#389—591no—
1042#389—591no—
1043#389—591no—
1044#388—591no—
1045#388—591no—
1046#388—591no—
1047#388—591no—
1048#388—591no—
1049#388—591no—
1050#388—591no—
1051#388—591no—
1052#388—591no—
1053#388—591no—
1054#388—591no—
1055#388—591no—
1056#388—591no—
1057#388—591no—
1058#387—591no—
1059#387—591no—
1060#387—591no—
1061#387—591no—
1062#386—591no—
1063#386—591no—
1064#386—591no—
1065#386—591no—
1066#386—591no—
1067#386—591no—
1068#386—591no—
1069#386—591no—
1070#386—591no—
1071#386—591no—
1072#386—591no—
1073#385—591no—
1074#385—591no—
1075#385—591no—
1076#385—591no—
1077#385—591no—
1078#385—591no—
1079#385—591no—
1080#384—591no—
1081#380—591no—
1082#380—591no—
1083#379—591no—
1084C4×C4⋊C4—591no—
1085C4×C22⋊C4—591no—
1086C4×C22⋊C4—591no—
1087#376—591no—
1088C59#3674411yescharacteristic, complemented, Sylow
1089C25C22×D5911yescharacteristic
1090C22×Q8C22×D5911yescharacteristic
1091C22×D4—591no—
1092C22×D4—591no—
1093C22×D4—591no—
1094C22×D4—591no—
1095C22×D4—591no—
1096C22×D4—591no—
1097C22×D4—591no—
1098C22×D4—591no—
1099C22×D4—591no—
1100C22×D4—591no—
1101C22×D4—591no—
1102C22×D4—591no—
1103C22×D4—591no—
1104C22×D4—591no—
1105C22×D4—591no—
1106C22×D4—591no—
1107C22×D4—591no—
1108C22×D4—591no—
1109C22×D4C22×D5911yescharacteristic
1110C22×D4C22×D5911yescharacteristic
1111C22×D4C22×D5911yescharacteristic
1112C22×D4C22×D5911yescharacteristic
1113C22×D4C22×D5911yescharacteristic
1114C22×D4C22×D5911yescharacteristic
1115C22×D4C22×D5911yescharacteristic
1116C23×C4—591no—
1117C23×C4—591no—
1118C23×C4—591no—
1119C23×C4—591no—
1120C23×C4—591no—
1121C23×C4C22×D5911yescharacteristic
1122C23×C4C22×D5911yescharacteristic
1123C23×C4C22×D5911yescharacteristic
1124C23×C4C22×D5911yescharacteristic
1125#127—1184no—
1126#127—2362no—
1127#126—24no—
1128#126—24no—
1129#125—1184no—
1130#124—24no—
1131#124—24no—
1132#123—24no—
1133#123—24no—
1134#123—1184no—
1135#123—1184no—
1136#123—1184no—
1137#123—1184no—
1138#123—2362no—
1139#123—2362no—
1140C22⋊Q8—24no—
1141C22⋊Q8—2362no—
1142C22⋊Q8—2362no—
1143#121—24no—
1144#121—24no—
1145#121—24no—
1146#121—1184no—
1147#121—1184no—
1148#121—1184no—
1149#121—1184no—
1150#121—1184no—
1151#121—1184no—
1152#121—2362no—
1153#121—2362no—
1154#121—2362no—
1155#121—2362no—
1156#121—2362no—
1157#121—2362no—
1158#121—2362no—
1159#121—2362no—
1160#120—24no—
1161#120—24no—
1162#120—2362no—
1163#120—2362no—
1164#120—2362no—
1165C4×D4—24no—
1166C4×D4—1184no—
1167C4×D4C22⋊D5918yescomplemented
1168#117—1184no—
1169#117—2362no—
1170C2×C4⋊C4—591no—
1171C2×C4⋊C4—591no—
1172C2×C4⋊C4—591no—
1173C2×C4⋊C4—591no—
1174C2×C4⋊C4—591no—
1175C2×C4⋊C4—591no—
1176C2×C4⋊C4—591no—
1177C2×C4⋊C4—591no—
1178C2×C4⋊C4—591no—
1179C2×C4⋊C4—591no—
1180C2×C4⋊C4—591no—
1181C2×C4⋊C4—591no—
1182C2×C4⋊C4—591no—
1183C2×C4⋊C4—591no—
1184C2×C4⋊C4—591no—
1185C2×C4⋊C4—591no—
1186C2×C4⋊C4—591no—
1187C2×C4⋊C4—591no—
1188C2×C4⋊C4—591no—
1189C2×C4⋊C4—591no—
1190C2×C4⋊C4—591no—
1191C2×C4⋊C4—591no—
1192C2×C4⋊C4C22×D5911yescharacteristic
1193C2×C4⋊C4C22×D5911yescharacteristic
1194C2×C4⋊C4C22×D5911yescharacteristic
1195C2×C4⋊C4C22×D5911yescharacteristic
1196C2×C4⋊C4C22×D5911yescharacteristic
1197C2×C4⋊C4C22×D5911yescharacteristic
1198C2×C22⋊C4—24no—
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—591no—
1221C2×C22⋊C4—591no—
1222C2×C22⋊C4—591no—
1223C2×C22⋊C4—591no—
1224C2×C22⋊C4—591no—
1225C2×C22⋊C4—591no—
1226C2×C22⋊C4—591no—
1227C2×C22⋊C4—591no—
1228C2×C22⋊C4—591no—
1229C2×C22⋊C4—591no—
1230C2×C22⋊C4—591no—
1231C2×C22⋊C4—591no—
1232C2×C22⋊C4—591no—
1233C2×C22⋊C4—591no—
1234C2×C22⋊C4—591no—
1235C2×C22⋊C4—591no—
1236C2×C22⋊C4—591no—
1237C2×C22⋊C4—591no—
1238C2×C22⋊C4—591no—
1239C2×C22⋊C4—591no—
1240C2×C22⋊C4—591no—
1241C2×C22⋊C4—591no—
1242C2×C22⋊C4—591no—
1243C2×C22⋊C4C22×D5911yescharacteristic
1244C2×C22⋊C4C22×D5911yescharacteristic
1245C2×C22⋊C4C22×D5911yescharacteristic
1246C2×C22⋊C4C22×D5911yescharacteristic
1247C2×C22⋊C4C22×D5911yescharacteristic
1248C2×C22⋊C4C22×D5911yescharacteristic
1249C2×C22⋊C4C22×D5911yescharacteristic
1250C2×C22⋊C4C22×D5911yescharacteristic
1251C2×C22⋊C4C22×D5911yescharacteristic
1252C2×C22⋊C4C22×D5911yescharacteristic
1253C2×C22⋊C4C22×D5911yescharacteristic
1254C2×C22⋊C4C22×D5911yescharacteristic
1255C2×C22⋊C4C22×D5911yescharacteristic
1256C2×C22⋊C4C22×D5911yescharacteristic
1257C2×C42—591no—
1258C2×C42—591no—
1259C2×C42—591no—
1260C2×C42—591no—
1261C2×C42—591no—
1262C2×C42—591no—
1263C2×C42—591no—
1264C2×C42—2362no—
1265C2×C42C22×D5911yescharacteristic
1266C2×C42C22×D5911yescharacteristic
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#95—591no—
1282#95—591no—
1283#95—591no—
1284#95—591no—
1285#95—591no—
1286#95—591no—
1287#95—591no—
1288#95—591no—
1289#95—591no—
1290#95—591no—
1291C24—22no—
1292C24—41no—
1293C24—41no—
1294C24—41no—
1295C24—41no—
1296C24—41no—
1297C24—41no—
1298C24—591no—
1299C24—591no—
1300C24—591no—
1301C24C23×D5911yescharacteristic
1302C24C23×D5911yescharacteristic
1303C24C23×D5911yescharacteristic
1304C24C23×D5911yescharacteristic
1305C24C23×D5911yescharacteristic
1306C2×Q8—22no—
1307C2×Q8—41no—
1308C2×Q8—41no—
1309C2×D4—22no—
1310C2×D4—22no—
1311C2×D4—22no—
1312C2×D4—22no—
1313C2×D4—22no—
1314C2×D4—22no—
1315C2×D4—41no—
1316C2×D4—41no—
1317C2×D4—41no—
1318C2×D4—41no—
1319C2×D4—41no—
1320C2×D4—41no—
1321C2×D4—41no—
1322C2×D4—41no—
1323C2×D4—41no—
1324C2×D4—41no—
1325C2×D4—41no—
1326C2×D4—41no—
1327C2×D4—41no—
1328C2×D4—41no—
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—2361no—
1344C2×D4—2361no—
1345C2×D4—2361no—
1346C2×D4—2361no—
1347C2×D4—2361no—
1348C2×D4—2361no—
1349C2×D4—2361no—
1350C2×D4—2361no—
1351C2×D4—2361no—
1352C2×D4—2361no—
1353C2×D4—2361no—
1354C2×D4—2361no—
1355C2×D4—2361no—
1356C2×D4—2361no—
1357C2×D4—2361no—
1358C2×D4—2361no—
1359C2×D4—2361no—
1360C2×D4—2361no—
1361C2×D4—2361no—
1362C2×D4—2361no—
1363C2×D4—2361no—
1364C2×D4—2361no—
1365C2×D4—2361no—
1366C2×D4—2361no—
1367C2×D4—2361no—
1368C2×D4—2361no—
1369C2×D4—2361no—
1370C2×D4—2361no—
1371C2×D4—2361no—
1372C2×D4—2361no—
1373C2×D4—2361no—
1374C2×D4—2361no—
1375C2×D4—2361no—
1376C2×D4—2361no—
1377C2×D4—2361no—
1378C2×D4—2361no—
1379C2×D4—2361no—
1380C2×D4—2361no—
1381C2×D4—2361no—
1382C2×D4—2361no—
1383C2×D4C2×C22⋊D5914yes—
1384C22×C4—22no—
1385C22×C4—22no—
1386C22×C4—41no—
1387C22×C4—41no—
1388C22×C4—41no—
1389C22×C4—41no—
1390C22×C4—41no—
1391C22×C4—41no—
1392C22×C4—41no—
1393C22×C4—41no—
1394C22×C4—591no—
1395C22×C4—591no—
1396C22×C4—591no—
1397C22×C4—591no—
1398C22×C4—591no—
1399C22×C4—591no—
1400C22×C4—591no—
1401C22×C4—591no—
1402C22×C4—591no—
1403C22×C4—591no—
1404C22×C4—591no—
1405C22×C4—591no—
1406C22×C4—591no—
1407C22×C4—1182no—
1408C22×C4—1182no—
1409C22×C4—1182no—
1410C22×C4—1182no—
1411C22×C4—1182no—
1412C22×C4—1182no—
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×C4C2×C22⋊D5914yes—
1423C22×C4C2×C22⋊D5914yes—
1424C22×C4C23×D5911yescharacteristic
1425C22×C4C23×D5911yescharacteristic
1426C22×C4C23×D5911yescharacteristic
1427C22×C4C23×D5911yescharacteristic
1428C22×C4C23×D5911yescharacteristic
1429C22×C4C23×D5911yescharacteristic
1430C22×C4C23×D5911yescharacteristic
1431C22×C4C23×D5911yescharacteristic
1432C22×C4C23×D5911yescharacteristic
1433C22×C4C23×D5911yescharacteristic
1434C4⋊C4—22no—
1435C4⋊C4—22no—
1436C4⋊C4—22no—
1437C4⋊C4—22no—
1438C4⋊C4—22no—
1439C4⋊C4—1182no—
1440C4⋊C4—1182no—
1441C4⋊C4—1182no—
1442C4⋊C4—1182no—
1443C4⋊C4—1182no—
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—2361no—
1453C4⋊C4—2361no—
1454C4⋊C4—2361no—
1455C4⋊C4—2361no—
1456C4⋊C4—2361no—
1457C4⋊C4—2361no—
1458C4⋊C4—2361no—
1459C4⋊C4—2361no—
1460C4⋊C4—2361no—
1461C4⋊C4C2×C22⋊D5914yes—
1462C22⋊C4—22no—
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—22no—
1472C22⋊C4—22no—
1473C22⋊C4—22no—
1474C22⋊C4—1182no—
1475C22⋊C4—1182no—
1476C22⋊C4—1182no—
1477C22⋊C4—1182no—
1478C22⋊C4—1182no—
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—2361no—
1494C22⋊C4—2361no—
1495C22⋊C4—2361no—
1496C22⋊C4—2361no—
1497C22⋊C4—2361no—
1498C22⋊C4—2361no—
1499C22⋊C4—2361no—
1500C22⋊C4—2361no—
1501C22⋊C4—2361no—
1502C22⋊C4—2361no—
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—
1515C22⋊C4—2361no—
1516C22⋊C4—2361no—
1517C22⋊C4—2361no—
1518C22⋊C4C2×C22⋊D5914yes—
1519C22⋊C4C2×C22⋊D5914yes—
1520C42—22no—
1521C42—1182no—
1522C42—1182no—
1523C42—1182no—
1524C42—2361no—
1525C42—2361no—
1526C42—2361no—
1527C42—2361no—
1528C42C2×C22⋊D5914yes—
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—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—44no—
1563C23—82no—
1564C23—82no—
1565C23—82no—
1566C23—82no—
1567C23—82no—
1568C23—82no—
1569C23—1181no—
1570C23—1181no—
1571C23—1181no—
1572C23—1181no—
1573C23—1181no—
1574C23—1181no—
1575C23—1181no—
1576C23—1181no—
1577C23—1181no—
1578C23—1181no—
1579C23—1181no—
1580C23—1181no—
1581C23—1181no—
1582C23—1181no—
1583C23—1181no—
1584C23—1181no—
1585C23—1181no—
1586C23—1181no—
1587C23—1181no—
1588C23—1181no—
1589C23—1181no—
1590C23C22×C22⋊D5912yes—
1591C23C22×C22⋊D5912yes—
1592C23C24×D5911yescharacteristic
1593Q8—82no—
1594D4—44no—
1595D4—44no—
1596D4—82no—
1597D4—82no—
1598D4—82no—
1599D4—82no—
1600D4—82no—
1601D4—4722no—
1602D4—4722no—
1603D4—4722no—
1604D4—4722no—
1605D4—4722no—
1606D4—4722no—
1607D4—4722no—
1608D4—4722no—
1609D4—4722no—
1610D4—4722no—
1611D4—4722no—
1612D4—4722no—
1613D4—4722no—
1614D4—4722no—
1615D4—4722no—
1616D4—4722no—
1617D4—4722no—
1618D4—2364no—
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—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—44no—
1645C2×C4—44no—
1646C2×C4—82no—
1647C2×C4—82no—
1648C2×C4—592no—
1649C2×C4—592no—
1650C2×C4—592no—
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—1181no—
1678C2×C4—1181no—
1679C2×C4—1181no—
1680C2×C4—1181no—
1681C2×C4—1181no—
1682C2×C4—1181no—
1683C2×C4—1181no—
1684C2×C4—1181no—
1685C2×C4—1181no—
1686C2×C4—1181no—
1687C2×C4—4722no—
1688C2×C4—4722no—
1689C2×C4—2364no—
1690C2×C4—2364no—
1691C2×C4—2364no—
1692C2×C4C22×C22⋊D5912yes—
1693C2×C4C22×C22⋊D5912yes—
1694C2×C4C22×C22⋊D5912yes—
1695C2×C4C22×C22⋊D5912yes—
1696C2×C4C22×C22⋊D5912yes—
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—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—88no—
1733C22—2361no—
1734C22—2361no—
1735C22—2361no—
1736C22—2361no—
1737C22—2361no—
1738C22—2361no—
1739C22—2361no—
1740C22—2361no—
1741C22—2361no—
1742C22—2361no—
1743C22—2361no—
1744C22—2361no—
1745C22—2361no—
1746C22—2361no—
1747C22—2361no—
1748C22—2361no—
1749C22—2361no—
1750C22—2361no—
1751C22—2361no—
1752C22—2361no—
1753C22—2361no—
1754C22C23×C22⋊D5911yescharacteristic
1755C22H(5,𝔽2)×D5911yescharacteristic
1756C22H(5,𝔽2)×D5911yescharacteristic
1757C22H(5,𝔽2)×D5911yescharacteristic
1758C22#1683823711yescharacteristic
1759C22#1683823811yescharacteristic
1760C22#1683823811yescharacteristic
1761C4—22no—
1762C4—22no—
1763C4—22no—
1764C4—22no—
1765C4—22no—
1766C4—41no—
1767C4—41no—
1768C4—41no—
1769C4—41no—
1770C4—41no—
1771C4—1182no—
1772C4—1182no—
1773C4—1182no—
1774C4—2361no—
1775C4—2361no—
1776C4—2361no—
1777C4—2361no—
1778C4—2361no—
1779C4—2361no—
1780C4—2361no—
1781C4—2361no—
1782C4—2361no—
1783C4—2361no—
1784C2—42no—
1785C2—42no—
1786C2—81no—
1787C2—81no—
1788C2—81no—
1789C2—4721no—
1790C2—4721no—
1791C2—4721no—
1792C2#2143742511yescharacteristic
1793C2#2143785511yescharacteristic
1794C2#2143787011yescharacteristic
1795C2#2143828511yescharacteristic
1796C2#2143841111yescharacteristic
1797C2#2143851311yescharacteristic
1798C2#2143868311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC2×C59×#538C2
hypercenterC2×#538D59
hypocenterC59#36744
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ C2×#538

Complements

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

NH ≅ G/Ntype
1. C2×#16838003C2semidirect
2. #21432439C2semidirect
3. #21432425C2semidirect
4. #21430987C2semidirect
5. #21430888C2semidirect
6. #21430612C2semidirect
7. #21430444C2semidirect
8. #21430435C2semidirect
9. #21430417C2semidirect
10. #21430392C2semidirect
11. #21430386C2semidirect
12. #21430362C2semidirect
13. #21430358C2semidirect
14. #21430342C2semidirect
15. #21430328C2semidirect
16. #21430327C2semidirect
17. #21430313C2semidirect
18. #21430310C2semidirect
19. #21430300C2semidirect
20. #21430225C2semidirect
21. #21430224C2semidirect
22. #21429785C2semidirect
23. #21429725C2semidirect
24. #21429708C2semidirect
25. #21429695C2semidirect
26. #21429036C2semidirect
27. #21429027C2semidirect
28. #21427514C2semidirect
29. #21427481C2semidirect
30. #21426541C2semidirect
31. C2×C59×#538C2semidirect
35. C2×#14273718C22semidirect
39. C2×#14273710C22semidirect
41. C2×#14273709C22semidirect
42. C2×#14273703C22semidirect
43. C2×#14273703C22semidirect
44. C2×#14273702C22semidirect
46. C2×#14273701C22semidirect
47. C2×#14273701C22semidirect
49. C2×#14273700C22semidirect
53. C2×#14273699C22semidirect
54. C2×#14273699C22semidirect
61. C2×C4×D236C22semidirect
63. C2×#14273684C22semidirect
64. C22×C4×Dic59C22semidirect
68. #16837338C22semidirect
69. #16837335C22semidirect
70. #16837333C22semidirect
71. #16837332C22semidirect
72. #16837332C22semidirect
74. #16837328C22semidirect
80. #16837324C22semidirect
81. #16837321C22semidirect
82. #16837319C22semidirect
83. #16837319C22semidirect
90. #16837317C22semidirect
91. #16837317C22semidirect
96. #16837316C22semidirect
97. #16837313C22semidirect
103. #16837311C22semidirect
112. #16837310C22semidirect
114. #16837304C22semidirect
115. #16837303C22semidirect
123. #16837302C22semidirect
124. #16837302C22semidirect
125. #16837302C22semidirect
126. #16837300C22semidirect
127. #16837297C22semidirect
128. #16837297C22semidirect
132. #16837296C22semidirect
135. #16837293C22semidirect
136. #16837292C22semidirect
137. #16837292C22semidirect
138. #16837292C22semidirect
139. #16837292C22semidirect
142. #16837290C22semidirect
143. #16837288C22semidirect
144. #16837288C22semidirect
145. #16837286C22semidirect
146. #16837283C22semidirect
151. #16837281C22semidirect
152. #16837279C22semidirect
157. #16837278C22semidirect
158. #16837277C22semidirect
159. #16837277C22semidirect
161. #16837275C22semidirect
162. #16837273C22semidirect
163. #16837273C22semidirect
164. #16837273C22semidirect
165. #16837271C22semidirect
166. #16837262C22semidirect
167. #16837260C22semidirect
169. C4×C4⋊Dic59C22semidirect
171. C4×C22⋊Dic59C22semidirect
172. #16837248C22semidirect
367. C4×D4×C59D4semidirect
886. C2×#538D59semidirect
1088. C59#36744semidirect
1167. C4×D4C22⋊D59semidirect

Maximal subgroups

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

subgroupindex
C2×#168380032
#214324392
#214324252
#214309872
#214308882
#214306122
#214304442
#214304352
#214304172
#214303922
#214303862
#214303622
#214303582
#214303422
#214303282
#214303272
#214303132
#214303102
#214303002
#214302252
#214302242
#214297852
#214297252
#214297082
#214296952
#214290362
#214290272
#214275142
#214274812
#214265412
C2×C59×#5382
#3674459