Finite Group Databasebeta

← #28796208

Subgroups — #28796208

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×#16838002C211yesmaximal, characteristic, complemented
2C2×#16837984C211yesmaximal, characteristic, complemented
3#21432427C211yesmaximal, characteristic, complemented
4#21430986C211yesmaximal, characteristic, complemented
5#21430887C211yesmaximal, characteristic, complemented
6#21430611C211yesmaximal, characteristic, complemented
7#21430445C211yesmaximal, characteristic, complemented
8#21430436C211yesmaximal, characteristic, complemented
9#21430418C211yesmaximal, characteristic, complemented
10#21430391C211yesmaximal, characteristic, complemented
11#21430386C211yesmaximal, characteristic, complemented
12#21430357C211yesmaximal, characteristic, complemented
13#21430356C211yesmaximal, characteristic, complemented
14#21430341C211yesmaximal, characteristic, complemented
15#21430327C211yesmaximal, characteristic, complemented
16#21430326C211yesmaximal, characteristic, complemented
17#21430309C211yesmaximal, characteristic, complemented
18#21430308C211yesmaximal, characteristic, complemented
19#21430299C211yesmaximal, characteristic, complemented
20#21430225C211yesmaximal, characteristic, complemented
21#21430225C211yesmaximal, characteristic, complemented
22#21429780C211yesmaximal, characteristic, complemented
23#21429719C211yesmaximal, characteristic, complemented
24#21429705C211yesmaximal, characteristic, complemented
25#21429690C211yesmaximal, characteristic, complemented
26#21429033C211yesmaximal, characteristic, complemented
27#21429025C211yesmaximal, characteristic, complemented
28#21427511C211yesmaximal, characteristic, complemented
29#21427478C211yesmaximal, characteristic, complemented
30#21426539C211yesmaximal, characteristic, complemented
31C59×#2856C211yesmaximal, characteristic, complemented
32#16838002—28no—
33#16837984—28no—
34C2×#14273723C2211yescharacteristic
35C2×#14273722C2211yescharacteristic
36C2×#14273720C2211yescharacteristic
37C2×#14273717C2211yescharacteristic, complemented
38C2×#14273714C2211yescharacteristic
39C2×#14273713C2211yescharacteristic
40C2×#14273712C2211yescharacteristic
41C2×#14273712C2211yescharacteristic
42C2×#14273710C2211yescharacteristic
43C2×#14273710C2211yescharacteristic, complemented
44C2×#14273709C2211yescharacteristic
45C2×#14273709C2211yescharacteristic
46C2×#14273708C2211yescharacteristic
47C2×#14273708C2211yescharacteristic, complemented
48C2×#14273705C2211yescharacteristic
49C2×#14273705C2211yescharacteristic, complemented
50C2×#14273704C2211yescharacteristic, complemented
51C2×#14273701C2211yescharacteristic
52C2×#14273700C2211yescharacteristic
53C2×#14273700C2211yescharacteristic
54C2×#14273699C2211yescharacteristic
55C2×#14273699C2211yescharacteristic
56C2×#14273699C2211yescharacteristic
57C2×#14273699C2211yescharacteristic
58C2×#14273699C2211yescharacteristic, complemented
59C2×#14273699C2211yescharacteristic, complemented
60C2×#14273698C2211yescharacteristic
61C2×#14273698C2211yescharacteristic, complemented
62C2×#14273697C2211yescharacteristic
63C2×#14273695C2211yescharacteristic
64C2×#14273695C2211yescharacteristic
65C2×#14273695C2211yescharacteristic
66C2×#14273695C2211yescharacteristic
67C2×C4×C22⋊D59C2211yescharacteristic
68C2×(C22⋊D59)⋊C4C2211yescharacteristic
69C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
70C2×#14273684C2211yescharacteristic
71C2×#14273683C2211yescharacteristic, complemented
72C2×C22⋊C4×D59C2211yescharacteristic
73#16837338C2211yescharacteristic
74#16837338C2211yescharacteristic, complemented
75#16837337C2211yescharacteristic
76#16837337C2211yescharacteristic
77#16837335C2211yescharacteristic, complemented
78#16837333C2211yescharacteristic, complemented
79#16837333C2211yescharacteristic, complemented
80#16837333C2211yescharacteristic, complemented
81#16837330C2211yescharacteristic
82#16837328C2211yescharacteristic
83#16837328C2211yescharacteristic
84#16837328C2211yescharacteristic, complemented
85#16837325C2211yescharacteristic
86#16837325C2211yescharacteristic
87#16837325C2211yescharacteristic, complemented
88#16837324C2211yescharacteristic
89#16837322C2211yescharacteristic, complemented
90#16837319C2211yescharacteristic
91#16837318C2211yescharacteristic
92#16837318C2211yescharacteristic
93#16837318C2211yescharacteristic, complemented
94#16837317C2211yescharacteristic
95#16837317C2211yescharacteristic
96#16837317C2211yescharacteristic
97#16837316C2211yescharacteristic
98#16837316C2211yescharacteristic
99#16837316C2211yescharacteristic
100#16837316C2211yescharacteristic
101#16837316C2211yescharacteristic, complemented
102#16837316C2211yescharacteristic, complemented
103#16837316C2211yescharacteristic, complemented
104#16837316C2211yescharacteristic, complemented
105#16837314C2211yescharacteristic, complemented
106#16837311C2211yescharacteristic
107#16837311C2211yescharacteristic
108#16837311C2211yescharacteristic
109#16837310C2211yescharacteristic
110#16837310C2211yescharacteristic
111#16837310C2211yescharacteristic
112#16837310C2211yescharacteristic
113#16837310C2211yescharacteristic
114#16837310C2211yescharacteristic
115#16837310C2211yescharacteristic
116#16837310C2211yescharacteristic
117#16837310C2211yescharacteristic
118#16837310C2211yescharacteristic
119#16837310C2211yescharacteristic, complemented
120#16837310C2211yescharacteristic, complemented
121#16837304C2211yescharacteristic
122#16837304C2211yescharacteristic
123#16837302C2211yescharacteristic
124#16837302C2211yescharacteristic
125#16837302C2211yescharacteristic
126#16837302C2211yescharacteristic, complemented
127#16837302C2211yescharacteristic, complemented
128#16837300C2211yescharacteristic, complemented
129#16837300C2211yescharacteristic, complemented
130#16837297C2211yescharacteristic, complemented
131#16837296C2211yescharacteristic
132#16837296C2211yescharacteristic, complemented
133#16837296C2211yescharacteristic, complemented
134#16837296C2211yescharacteristic, complemented
135#16837296C2211yescharacteristic, complemented
136#16837295C2211yescharacteristic
137#16837295C2211yescharacteristic, complemented
138#16837293C2211yescharacteristic
139#16837293C2211yescharacteristic
140#16837293C2211yescharacteristic
141#16837293C2211yescharacteristic
142#16837293C2211yescharacteristic, complemented
143#16837293C2211yescharacteristic, complemented
144#16837292C2211yescharacteristic
145#16837288C2211yescharacteristic, complemented
146#16837288C2211yescharacteristic, complemented
147#16837286C2211yescharacteristic, complemented
148#16837286C2211yescharacteristic, complemented
149#16837282C2211yescharacteristic
150#16837282C2211yescharacteristic
151#16837282C2211yescharacteristic, complemented
152#16837282C2211yescharacteristic, complemented
153#16837281C2211yescharacteristic
154#16837281C2211yescharacteristic
155#16837281C2211yescharacteristic
156#16837281C2211yescharacteristic, complemented
157#16837279C2211yescharacteristic
158#16837278C2211yescharacteristic
159#16837278C2211yescharacteristic
160#16837277C2211yescharacteristic, complemented
161#16837277C2211yescharacteristic, complemented
162#16837275C2211yescharacteristic, complemented
163#16837275C2211yescharacteristic, complemented
164#16837274C2211yescharacteristic, complemented
165#16837273C2211yescharacteristic
166#16837273C2211yescharacteristic, complemented
167#16837262C2211yescharacteristic, complemented
168#16837260C2211yescharacteristic, complemented
169#16837257C2211yescharacteristic
170C4×Dic59⋊C4C2211yescharacteristic, complemented
171C4×(C2×D59)⋊C4C2211yescharacteristic
172C4×C22⋊Dic59C2211yescharacteristic, complemented
173#16837248C2211yescharacteristic, complemented
174C2×#127×C59C2211yescharacteristic
175C2×#121×C59C2211yescharacteristic
176C2×#121×C59C2211yescharacteristic
177C2×#121×C59C2211yescharacteristic
178C2×#121×C59C2211yescharacteristic, complemented
179C2×#121×C59C2211yescharacteristic, complemented
180C2×#121×C59C2211yescharacteristic, complemented
181C22×C42×C59C2211yescharacteristic, complemented
182C59×#390C2211yescharacteristic
183C59×#390C2211yescharacteristic
184C59×#390C2211yescharacteristic
185C59×#390C2211yescharacteristic, complemented
186C59×#390C2211yescharacteristic, complemented
187C59×#390C2211yescharacteristic, complemented
188C59×#384C2211yescharacteristic, complemented
189C24×D59C2311yescharacteristic
190C22×Dic118C2311yescharacteristic
191C22×D236C2311yescharacteristic
192C22×D236C2311yescharacteristic
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
206C23×Dic59C2311yescharacteristic
207C23×Dic59C2311yescharacteristic
208C23×Dic59C2311yescharacteristic
209C22×C4×D59C2311yescharacteristic
210C22×C4×D59C2311yescharacteristic
211C22×C4×D59C2311yescharacteristic
212#14273723—24no—
213#14273722—24no—
214#14273720—24no—
215#14273717—24no—
216#14273714—24no—
217#14273713—24no—
218#14273712—24no—
219#14273712—42no—
220#14273710—24no—
221#14273710—24no—
222#14273709—24no—
223#14273709—42no—
224#14273708—24no—
225#14273708—24no—
226#14273705—24no—
227#14273705—42no—
228#14273704—42no—
229#14273701—42no—
230#14273700—24no—
231#14273700—42no—
232#14273699—24no—
233#14273699—24no—
234#14273699—24no—
235#14273699—24no—
236#14273699—42no—
237#14273699—42no—
238#14273698—24no—
239#14273698—24no—
240#14273697—42no—
241#14273695—24no—
242#14273695—24no—
243#14273695—42no—
244#14273695—42no—
245C4×C22⋊D59D418yescomplemented
246(C22⋊D59)⋊C4—24no—
247(C22⋊D59)⋊C4—24no—
248#14273684—42no—
249#14273683—24no—
250C2×C4⋊Dic59C2311yescharacteristic
251C2×C4⋊Dic59C2311yescharacteristic
252C2×C4⋊Dic59C2311yescharacteristic
253C2×C4⋊Dic59C2311yescharacteristic
254C2×C4⋊Dic59C2311yescharacteristic
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×Dic59⋊C4C2311yescharacteristic
266C2×Dic59⋊C4C2311yescharacteristic
267C2×Dic59⋊C4C2311yescharacteristic
268C2×Dic59⋊C4C2311yescharacteristic
269C2×Dic59⋊C4C2311yescharacteristic
270C2×Dic59⋊C4C2311yescharacteristic
271C2×Dic59⋊C4C2311yescharacteristic
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×C22⋊Dic59C2311yescharacteristic
289C2×C22⋊Dic59C2311yescharacteristic
290C2×C22⋊Dic59C2311yescharacteristic
291C2×C22⋊Dic59C2311yescharacteristic
292C2×C22⋊Dic59C2311yescharacteristic
293C2×C22⋊Dic59C2311yescharacteristic
294C2×C22⋊Dic59C2311yescharacteristic
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
310C2×(C2×D59)⋊C4C2311yescharacteristic
311C2×(C2×D59)⋊C4C2311yescharacteristic
312C2×(C2×D59)⋊C4C2311yescharacteristic
313C2×(C2×D59)⋊C4C2311yescharacteristic
314C2×(C2×D59)⋊C4C2311yescharacteristic
315C2×(C2×D59)⋊C4C2311yescharacteristic
316C2×(C2×D59)⋊C4C2311yescharacteristic
317C2×(C2×D59)⋊C4C2311yescharacteristic
318C22⋊C4×D59—24no—
319C2×C4×Dic59C2311yescharacteristic
320C2×C4×Dic59C2311yescharacteristic
321C2×C4×Dic59C2311yescharacteristic
322C2×C4×Dic59C2311yescharacteristic
323C2×C4×Dic59C2311yescharacteristic
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
348C22×D4×C59C2311yescharacteristic
349C22×D4×C59C2311yescharacteristic
350C22×D4×C59C2311yescharacteristic
351C22×D4×C59C2311yescharacteristic
352C22×D4×C59C2311yescharacteristic
353C22×D4×C59C2311yescharacteristic
354C22×D4×C59C2311yescharacteristic
355C22×D4×C59C2311yescharacteristic
356C22×D4×C59C2311yescharacteristic
357C22×D4×C59C2311yescharacteristic
358C23×C4×C59C2311yescharacteristic
359C23×C4×C59C2311yescharacteristic
360C23×C4×C59C2311yescharacteristic
361#127×C59—42no—
362#121×C59—24no—
363#121×C59—24no—
364#121×C59—42no—
365#121×C59—42no—
366#121×C59—42no—
367#121×C59—42no—
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×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×C22⋊C4×C59C2311yescharacteristic
385C2×C22⋊C4×C59C2311yescharacteristic
386C2×C42×C59—42no—
387C2×C42×C59C2311yescharacteristic
388C2×C42×C59C2311yescharacteristic
389C2×C42×C59C2311yescharacteristic
390C2×C42×C59C2311yescharacteristic
391C24×C59C2411yescharacteristic
392C24×C59C2411yescharacteristic
393C24×C59C2411yescharacteristic
394C24×C59C2411yescharacteristic
395C24×C59C2411yescharacteristic
396C23×D59—22no—
397C23×D59—41no—
398C23×D59—41no—
399C23×D59—41no—
400C23×D59—41no—
401C23×D59—41no—
402C23×D59—41no—
403C23×D59C2411yescharacteristic
404C23×D59C2411yescharacteristic
405C23×D59C2411yescharacteristic
406C2×D4×C59—22no—
407C2×D4×C59—22no—
408C2×D4×C59—22no—
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—22no—
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×C59—41no—
430C2×D4×C59—41no—
431C2×D4×C59—41no—
432C2×D4×C59—41no—
433C2×D4×C59—41no—
434C2×D4×C59—41no—
435C2×D4×C59—41no—
436C22×C4×C59—22no—
437C22×C4×C59—22no—
438C22×C4×C59—22no—
439C22×C4×C59—41no—
440C22×C4×C59—41no—
441C22×C4×C59—41no—
442C22×C4×C59—41no—
443C22×C4×C59—41no—
444C22×C4×C59C2×D414yes—
445C22×C4×C59C2411yescharacteristic
446C22×C4×C59C2411yescharacteristic
447C22×C4×C59C2411yescharacteristic
448C22×C4×C59C2411yescharacteristic
449C22×C4×C59C2411yescharacteristic
450C22×C4×C59C2411yescharacteristic
451C22×C4×C59C2411yescharacteristic
452C22×C4×C59C2411yescharacteristic
453C22×C4×C59C2411yescharacteristic
454C22×C4×C59C2411yescharacteristic
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⋊D59C2×D414yes—
494C22×Dic59—22no—
495C22×Dic59—22no—
496C22×Dic59—22no—
497C22×Dic59—41no—
498C22×Dic59—41no—
499C22×Dic59—41no—
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—41no—
519C2×D236—41no—
520C2×D236—41no—
521C2×D236—41no—
522C2×C4×D59—22no—
523C2×C4×D59—22no—
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×D59C2×D414yes—
531C2×Dic118—22no—
532C2×Dic118—41no—
533C2×Dic118—41no—
534C4⋊C4×C59—22no—
535C4⋊C4×C59—22no—
536C4⋊C4×C59—22no—
537C4⋊C4×C59—22no—
538C4⋊C4×C59—41no—
539C4⋊C4×C59—41no—
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—41no—
549C22⋊C4×C59—41no—
550C22⋊C4×C59—41no—
551C22⋊C4×C59—41no—
552C42×C59—22no—
553C42×C59—22no—
554C42×C59—41no—
555C42×C59—41no—
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—41no—
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⋊Dic59C2×D414yes—
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—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—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—
600(C2×D59)⋊C4—41no—
601(C2×D59)⋊C4C2×D414yes—
602C4⋊Dic59—22no—
603C4⋊Dic59—22no—
604C4⋊Dic59—22no—
605C4⋊Dic59—41no—
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—22no—
615Dic59⋊C4—22no—
616Dic59⋊C4—22no—
617Dic59⋊C4—22no—
618Dic59⋊C4—41no—
619Dic59⋊C4—41no—
620Dic59⋊C4—41no—
621Dic59⋊C4—41no—
622Dic59⋊C4—41no—
623Dic59⋊C4C2×D414yes—
624C4×Dic59—22no—
625C4×Dic59—22no—
626C4×Dic59—41no—
627C4×Dic59—41no—
628C4×Dic59C2×D414yes—
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—21no—
663C23×C59C22×D412yes—
664C23×C59C2511yescharacteristic
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—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—44no—
686C22×D59—82no—
687C22×D59—82no—
688C22×D59—82no—
689C22×D59—82no—
690C22×D59—82no—
691C22×D59—82no—
692C22×D59C22×D412yes—
693D4×C59—82no—
694D4×C59—82no—
695D4×C59—82no—
696D4×C59—82no—
697D4×C59—82no—
698D4×C59—82no—
699D4×C59—82no—
700D4×C59—82no—
701D4×C59—82no—
702D4×C59—82no—
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—44no—
731C2×C4×C59C22×D412yes—
732C2×C4×C59C22×D412yes—
733C2×C4×C59H(5,𝔽2)12yes—
734C2×C4×C59H(5,𝔽2)12yes—
735C2×C4×C59H(5,𝔽2)12yes—
736C22⋊D59—44no—
737C22⋊D59—44no—
738C22⋊D59—44no—
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—
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—21no—
779C2×Dic59—21no—
780C2×Dic59—21no—
781C2×Dic59—21no—
782C2×Dic59—21no—
783C2×Dic59—21no—
784C2×Dic59—21no—
785C2×Dic59—44no—
786C2×Dic59—82no—
787C2×Dic59—82no—
788C2×Dic59C22×D412yes—
789C2×Dic59C22×D412yes—
790C2×Dic59C22×D412yes—
791D236—82no—
792D236—82no—
793C4×D59—44no—
794C4×D59—82no—
795C4×D59—82no—
796Dic118—82no—
797#36744—591nomaximal, Sylow
798C22×C59—22no—
799C22×C59—22no—
800C22×C59—22no—
801C22×C59—41no—
802C22×C59—41no—
803C22×C59—41no—
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×C59C23×D411yescharacteristic
834C22×C59C2×H(5,𝔽2)11yescharacteristic
835C22×C59C2×H(5,𝔽2)11yescharacteristic
836C22×C59C2×H(5,𝔽2)11yescharacteristic
837C22×C59#58511yescharacteristic
838C22×C59#58511yescharacteristic
839C22×C59#58511yescharacteristic
840C2×D59—22no—
841C2×D59—22no—
842C2×D59—22no—
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—88no—
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×#538—591no—
887#2856D5911yescharacteristic, complemented
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—81no—
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—42no—
929D59—81no—
930D59—81no—
931#540—1188no—
932#538—1188no—
933C2×#127—591no—
934C2×#127C2×D5911yescharacteristic
935C2×#126—591no—
936C2×#126—591no—
937C2×#125—591no—
938C2×#124—591no—
939C2×#124—591no—
940C2×#123—591no—
941C2×#123—591no—
942C2×#123—591no—
943C2×#123—591no—
944C2×#123—591no—
945C2×#123—591no—
946C2×#123—591no—
947C2×#123—591no—
948C2×C22⋊Q8—591no—
949C2×C22⋊Q8—591no—
950C2×C22⋊Q8—591no—
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×#121C2×D5911yescharacteristic
963C2×#121C2×D5911yescharacteristic
964C2×#121C2×D5911yescharacteristic
965C2×#121C2×D5911yescharacteristic, complemented
966C2×#121C2×D5911yescharacteristic, complemented
967C2×#121C2×D5911yescharacteristic, complemented
968C2×#120—591no—
969C2×#120—591no—
970C2×#120—591no—
971C2×#120—591no—
972C2×#120—591no—
973C2×C4×D4—591no—
974C2×C4×D4—591no—
975C2×C4×D4—591no—
976C2×#117—591no—
977C2×#117—591no—
978C22×C22⋊C4—591no—
979C22×C42C2×D5911yescharacteristic, complemented
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#390C2×D5911yescharacteristic
1036#390C2×D5911yescharacteristic
1037#390C2×D5911yescharacteristic
1038#390C2×D5911yescharacteristic, complemented
1039#390C2×D5911yescharacteristic, complemented
1040#390C2×D5911yescharacteristic, complemented
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#384C2×D5911yescharacteristic, complemented
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
1089C25—591no—
1090C22×Q8—591no—
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×D4C22×D5911yescharacteristic
1107C22×D4C22×D5911yescharacteristic
1108C22×D4C22×D5911yescharacteristic
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×C4—591no—
1122C23×C4C22×D5911yescharacteristic
1123C23×C4C22×D5911yescharacteristic
1124C23×C4C22×D5911yescharacteristic
1125#127—42no—
1126#127—1184no—
1127#126—1184no—
1128#126—1184no—
1129#125—1184no—
1130#124—1184no—
1131#124—1184no—
1132#123—1184no—
1133#123—1184no—
1134#123—1184no—
1135#123—1184no—
1136#123—1184no—
1137#123—1184no—
1138#123—2362no—
1139#123—2362no—
1140C22⋊Q8—1184no—
1141C22⋊Q8—2362no—
1142C22⋊Q8—2362no—
1143#121—24no—
1144#121—24no—
1145#121—42no—
1146#121—42no—
1147#121—42no—
1148#121—42no—
1149#121—1184no—
1150#121—1184no—
1151#121—1184no—
1152#121—1184no—
1153#121—1184no—
1154#121—1184no—
1155#121—1184no—
1156#121—2362no—
1157#121—2362no—
1158#121—2362no—
1159#121—2362no—
1160#120—1184no—
1161#120—1184no—
1162#120—2362no—
1163#120—2362no—
1164#120—2362no—
1165C4×D4—598no—
1166C4×D4—1184no—
1167C4×D4—1184no—
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—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—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⋊C4—591no—
1244C2×C22⋊C4—1184no—
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—42no—
1258C2×C42—591no—
1259C2×C42—591no—
1260C2×C42—591no—
1261C2×C42—591no—
1262C2×C42—591no—
1263C2×C42C22×D5911yescharacteristic
1264C2×C42C22×D5911yescharacteristic
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—591no—
1292C24—591no—
1293C24—591no—
1294C24—1182no—
1295C24—2361no—
1296C24—2361no—
1297C24—2361no—
1298C24—2361no—
1299C24—2361no—
1300C24—2361no—
1301C24C23×D5911yescharacteristic
1302C24C23×D5911yescharacteristic
1303C24C23×D5911yescharacteristic
1304C24C23×D5911yescharacteristic
1305C24C23×D5911yescharacteristic
1306C2×Q8—1182no—
1307C2×Q8—2361no—
1308C2×Q8—2361no—
1309C2×D4—22no—
1310C2×D4—22no—
1311C2×D4—22no—
1312C2×D4—22no—
1313C2×D4—22no—
1314C2×D4—22no—
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—41no—
1324C2×D4—41no—
1325C2×D4—41no—
1326C2×D4—41no—
1327C2×D4—41no—
1328C2×D4—41no—
1329C2×D4—41no—
1330C2×D4—41no—
1331C2×D4—41no—
1332C2×D4—41no—
1333C2×D4—41no—
1334C2×D4—41no—
1335C2×D4—41no—
1336C2×D4—41no—
1337C2×D4—41no—
1338C2×D4—41no—
1339C2×D4—594no—
1340C2×D4—1182no—
1341C2×D4—1182no—
1342C2×D4—1182no—
1343C2×D4—1182no—
1344C2×D4—1182no—
1345C2×D4—1182no—
1346C2×D4—1182no—
1347C2×D4—1182no—
1348C2×D4—1182no—
1349C2×D4—1182no—
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×D4—2361no—
1384C22×C4—22no—
1385C22×C4—22no—
1386C22×C4—22no—
1387C22×C4—41no—
1388C22×C4—41no—
1389C22×C4—41no—
1390C22×C4—41no—
1391C22×C4—41no—
1392C22×C4—591no—
1393C22×C4—591no—
1394C22×C4—591no—
1395C22×C4—594no—
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—1182no—
1407C22×C4—1182no—
1408C22×C4—1182no—
1409C22×C4—1182no—
1410C22×C4—1182no—
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—2361no—
1423C22×C4D4×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—41no—
1439C4⋊C4—41no—
1440C4⋊C4—594no—
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—1182no—
1453C4⋊C4—1182no—
1454C4⋊C4—1182no—
1455C4⋊C4—2361no—
1456C4⋊C4—2361no—
1457C4⋊C4—2361no—
1458C4⋊C4—2361no—
1459C4⋊C4—2361no—
1460C4⋊C4—2361no—
1461C4⋊C4—2361no—
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—41no—
1471C22⋊C4—41no—
1472C22⋊C4—41no—
1473C22⋊C4—41no—
1474C22⋊C4—594no—
1475C22⋊C4—594no—
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—1182no—
1494C22⋊C4—1182no—
1495C22⋊C4—1182no—
1496C22⋊C4—1182no—
1497C22⋊C4—1182no—
1498C22⋊C4—1182no—
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⋊C4—2361no—
1519C22⋊C4—2361no—
1520C42—22no—
1521C42—22no—
1522C42—41no—
1523C42—41no—
1524C42—594no—
1525C42—1182no—
1526C42—1182no—
1527C42—2361no—
1528C42—2361no—
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—21no—
1563C23—592no—
1564C23—1181no—
1565C23—1181no—
1566C23—1181no—
1567C23—1181no—
1568C23—1181no—
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—4722no—
1585C23—4722no—
1586C23—4722no—
1587C23—4722no—
1588C23—4722no—
1589C23—4722no—
1590C23—2364no—
1591C23C2×D4×D5912yes—
1592C23C24×D5911yescharacteristic
1593Q8—4722no—
1594D4—82no—
1595D4—82no—
1596D4—82no—
1597D4—82no—
1598D4—82no—
1599D4—82no—
1600D4—82no—
1601D4—82no—
1602D4—82no—
1603D4—82no—
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—2364no—
1617D4—2364no—
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—44no—
1647C2×C4—592no—
1648C2×C4—592no—
1649C2×C4—592no—
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—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—4722no—
1687C2×C4—4722no—
1688C2×C4—4722no—
1689C2×C4—4722no—
1690C2×C4—2364no—
1691C2×C4—2364no—
1692C2×C4C2×D4×D5912yes—
1693C2×C4C2×D4×D5912yes—
1694C2×C4#1427377212yes—
1695C2×C4#1427377212yes—
1696C2×C4#1427377212yes—
1697C22—22no—
1698C22—22no—
1699C22—22no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
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—1182no—
1733C22—1182no—
1734C22—1182no—
1735C22—4728no—
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—
1754C22C22×D4×D5911yescharacteristic
1755C22C2×#1427377211yescharacteristic
1756C22C2×#1427377211yescharacteristic
1757C22C2×#1427377211yescharacteristic
1758C22#1683823811yescharacteristic
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—81no—
1786C2—81no—
1787C2—81no—
1788C2—81no—
1789C2—4721no—
1790C2—4721no—
1791C2—2362no—
1792C2#2143742311yescharacteristic
1793C2#2143785311yescharacteristic
1794C2#2143787211yescharacteristic
1795C2#2143828611yescharacteristic
1796C2#2143841611yescharacteristic
1797C2#2143852311yescharacteristic
1798C2#2143868811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2856C2
hypercenter#2856D59
hypocenterC59#36744
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2856

Complements

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

NH ≅ G/Ntype
1. C2×#16838002C2semidirect
2. C2×#16837984C2semidirect
3. #21432427C2semidirect
4. #21430986C2semidirect
5. #21430887C2semidirect
6. #21430611C2semidirect
7. #21430445C2semidirect
8. #21430436C2semidirect
9. #21430418C2semidirect
10. #21430391C2semidirect
11. #21430386C2semidirect
12. #21430357C2semidirect
13. #21430356C2semidirect
14. #21430341C2semidirect
15. #21430327C2semidirect
16. #21430326C2semidirect
17. #21430309C2semidirect
18. #21430308C2semidirect
19. #21430299C2semidirect
20. #21430225C2semidirect
21. #21430225C2semidirect
22. #21429780C2semidirect
23. #21429719C2semidirect
24. #21429705C2semidirect
25. #21429690C2semidirect
26. #21429033C2semidirect
27. #21429025C2semidirect
28. #21427511C2semidirect
29. #21427478C2semidirect
30. #21426539C2semidirect
31. C59×#2856C2semidirect
37. C2×#14273717C22semidirect
43. C2×#14273710C22semidirect
47. C2×#14273708C22semidirect
49. C2×#14273705C22semidirect
50. C2×#14273704C22semidirect
58. C2×#14273699C22semidirect
59. C2×#14273699C22semidirect
61. C2×#14273698C22semidirect
69. C2×(C22⋊D59)⋊C4C22semidirect
71. C2×#14273683C22semidirect
74. #16837338C22semidirect
77. #16837335C22semidirect
78. #16837333C22semidirect
79. #16837333C22semidirect
80. #16837333C22semidirect
84. #16837328C22semidirect
87. #16837325C22semidirect
89. #16837322C22semidirect
93. #16837318C22semidirect
101. #16837316C22semidirect
102. #16837316C22semidirect
103. #16837316C22semidirect
104. #16837316C22semidirect
105. #16837314C22semidirect
119. #16837310C22semidirect
120. #16837310C22semidirect
126. #16837302C22semidirect
127. #16837302C22semidirect
128. #16837300C22semidirect
129. #16837300C22semidirect
130. #16837297C22semidirect
132. #16837296C22semidirect
133. #16837296C22semidirect
134. #16837296C22semidirect
135. #16837296C22semidirect
137. #16837295C22semidirect
142. #16837293C22semidirect
143. #16837293C22semidirect
145. #16837288C22semidirect
146. #16837288C22semidirect
147. #16837286C22semidirect
148. #16837286C22semidirect
151. #16837282C22semidirect
152. #16837282C22semidirect
156. #16837281C22semidirect
160. #16837277C22semidirect
161. #16837277C22semidirect
162. #16837275C22semidirect
163. #16837275C22semidirect
164. #16837274C22semidirect
166. #16837273C22semidirect
167. #16837262C22semidirect
168. #16837260C22semidirect
170. C4×Dic59⋊C4C22semidirect
172. C4×C22⋊Dic59C22semidirect
173. #16837248C22semidirect
178. C2×#121×C59C22semidirect
179. C2×#121×C59C22semidirect
180. C2×#121×C59C22semidirect
181. C22×C42×C59C22semidirect
185. C59×#390C22semidirect
186. C59×#390C22semidirect
187. C59×#390C22semidirect
188. C59×#384C22semidirect
245. C4×C22⋊D59D4semidirect
887. #2856D59semidirect
965. C2×#121C2×D59semidirect
966. C2×#121C2×D59semidirect
967. C2×#121C2×D59semidirect
979. C22×C42C2×D59semidirect
1038. #390C2×D59semidirect
1039. #390C2×D59semidirect
1040. #390C2×D59semidirect
1080. #384C2×D59semidirect
1088. C59#36744semidirect

Maximal subgroups

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

subgroupindex
C2×#168380022
C2×#168379842
#214324272
#214309862
#214308872
#214306112
#214304452
#214304362
#214304182
#214303912
#214303862
#214303572
#214303562
#214303412
#214303272
#214303262
#214303092
#214303082
#214302992
#214302252
#214297802
#214297192
#214297052
#214296902
#214290332
#214290252
#214275112
#214274782
#214265392
C59×#28562
#3674459