Finite Group Databasebeta

← #28761679

Subgroups — #28761679

Order 15104.

2404 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837998C211yesmaximal, characteristic, complemented
2C2×#16837988C211yesmaximal, characteristic, complemented
3#21432465C211yesmaximal, characteristic, complemented
4#21432464C211yesmaximal, characteristic, complemented
5#21432425C211yesmaximal, characteristic, complemented
6#21432399C211yesmaximal, characteristic, complemented
7#21430259C211yesmaximal, characteristic, complemented
8#21430239C211yesmaximal, characteristic, complemented
9#21430222C211yesmaximal, characteristic, complemented
10#21429243C211yesmaximal, characteristic, complemented
11#21429220C211yesmaximal, characteristic, complemented
12#21429213C211yesmaximal, characteristic, complemented
13#21429190C211yesmaximal, characteristic, complemented
14#21429101C211yesmaximal, characteristic, complemented
15#21429053C211yesmaximal, characteristic, complemented
16#21429023C211yesmaximal, characteristic, complemented
17#21428981C211yesmaximal, characteristic, complemented
18#21428792C211yesmaximal, characteristic, complemented
19#21428764C211yesmaximal, characteristic, complemented
20#21428423C211yesmaximal, characteristic, complemented
21#21428225C211yesmaximal, characteristic, complemented
22#21428103C211yesmaximal, characteristic, complemented
23#21428066C211yesmaximal, characteristic, complemented
24#21427650C211yesmaximal, characteristic, complemented
25#21427633C211yesmaximal, characteristic, complemented
26#21426760C211yesmaximal, characteristic, complemented
27#21426749C211yesmaximal, characteristic, complemented
28#21426604C211yesmaximal, characteristic, complemented
29#388×D59C211yesmaximal, characteristic, complemented
30C4×(C22⋊D59)⋊C4C211yesmaximal, characteristic, complemented
31C59×#2663C211yesmaximal, characteristic, complemented
32#16837998—28no—
33#16837988—28no—
34C2×#14273722C2211yescharacteristic
35C2×#14273722C2211yescharacteristic, complemented
36C2×#14273720C2211yescharacteristic
37C2×#14273720C2211yescharacteristic, complemented
38C2×#14273717C2211yescharacteristic, complemented
39C2×#14273717C2211yescharacteristic, complemented
40C2×#14273716C2211yescharacteristic
41C2×#14273713C2211yescharacteristic
42C2×#14273713C2211yescharacteristic
43C2×#14273712C2211yescharacteristic
44C2×#14273712C2211yescharacteristic
45C2×#14273712C2211yescharacteristic
46C2×#14273710C2211yescharacteristic, complemented
47C2×#14273709C2211yescharacteristic
48C2×#14273709C2211yescharacteristic, complemented
49C2×#14273707C2211yescharacteristic
50C2×#14273703C2211yescharacteristic
51C2×#14273703C2211yescharacteristic, complemented
52C2×#14273702C2211yescharacteristic
53C2×#14273701C2211yescharacteristic
54C2×#14273700C2211yescharacteristic
55C2×#14273700C2211yescharacteristic
56C2×#14273699C2211yescharacteristic
57C2×#14273698C2211yescharacteristic
58C2×#14273697C2211yescharacteristic
59C2×#14273697C2211yescharacteristic
60C2×#14273695C2211yescharacteristic
61C2×#14273689C2211yescharacteristic
62C2×#14273689C2211yescharacteristic
63C2×#14273689C2211yescharacteristic, complemented
64C2×C4×C22⋊D59C2211yescharacteristic
65C2×(C22⋊D59)⋊C4C2211yescharacteristic
66C2×(C22⋊D59)⋊C4C2211yescharacteristic
67C2×C4⋊C4×D59C2211yescharacteristic
68C2×C22⋊C4×D59C2211yescharacteristic
69C2×C22⋊C4×D59C2211yescharacteristic
70C2×C22⋊C4×D59C2211yescharacteristic
71C22×C4×Dic59C2211yescharacteristic, complemented
72C2×C42×D59C2211yescharacteristic
73#16837344C2211yescharacteristic, complemented
74#16837337C2211yescharacteristic
75#16837336C2211yescharacteristic, complemented
76#16837335C2211yescharacteristic, complemented
77#16837334C2211yescharacteristic, complemented
78#16837333C2211yescharacteristic, complemented
79#16837331C2211yescharacteristic
80#16837329C2211yescharacteristic, complemented
81#16837326C2211yescharacteristic
82#16837326C2211yescharacteristic, complemented
83#16837325C2211yescharacteristic
84#16837324C2211yescharacteristic
85#16837323C2211yescharacteristic, complemented
86#16837320C2211yescharacteristic
87#16837320C2211yescharacteristic, complemented
88#16837318C2211yescharacteristic
89#16837318C2211yescharacteristic
90#16837318C2211yescharacteristic, complemented
91#16837317C2211yescharacteristic
92#16837315C2211yescharacteristic, complemented
93#16837312C2211yescharacteristic
94#16837311C2211yescharacteristic
95#16837311C2211yescharacteristic
96#16837311C2211yescharacteristic, complemented
97#16837309C2211yescharacteristic, complemented
98#16837306C2211yescharacteristic, complemented
99#16837306C2211yescharacteristic, complemented
100#16837304C2211yescharacteristic
101#16837304C2211yescharacteristic, complemented
102#16837303C2211yescharacteristic
103#16837303C2211yescharacteristic
104#16837303C2211yescharacteristic
105#16837302C2211yescharacteristic
106#16837302C2211yescharacteristic
107#16837302C2211yescharacteristic
108#16837302C2211yescharacteristic
109#16837301C2211yescharacteristic, complemented
110#16837298C2211yescharacteristic, complemented
111#16837297C2211yescharacteristic, complemented
112#16837297C2211yescharacteristic, complemented
113#16837296C2211yescharacteristic
114#16837296C2211yescharacteristic
115#16837295C2211yescharacteristic
116#16837295C2211yescharacteristic
117#16837295C2211yescharacteristic
118#16837294C2211yescharacteristic
119#16837294C2211yescharacteristic
120#16837294C2211yescharacteristic, complemented
121#16837294C2211yescharacteristic, complemented
122#16837293C2211yescharacteristic
123#16837293C2211yescharacteristic, complemented
124#16837292C2211yescharacteristic
125#16837292C2211yescharacteristic
126#16837292C2211yescharacteristic, complemented
127#16837292C2211yescharacteristic, complemented
128#16837292C2211yescharacteristic, complemented
129#16837292C2211yescharacteristic, complemented
130#16837291C2211yescharacteristic
131#16837291C2211yescharacteristic
132#16837291C2211yescharacteristic
133#16837291C2211yescharacteristic, complemented
134#16837291C2211yescharacteristic, complemented
135#16837290C2211yescharacteristic
136#16837290C2211yescharacteristic
137#16837288C2211yescharacteristic, complemented
138#16837284C2211yescharacteristic, complemented
139#16837282C2211yescharacteristic
140#16837280C2211yescharacteristic
141#16837280C2211yescharacteristic
142#16837280C2211yescharacteristic
143#16837280C2211yescharacteristic
144#16837280C2211yescharacteristic
145#16837279C2211yescharacteristic
146#16837279C2211yescharacteristic
147#16837279C2211yescharacteristic, complemented
148#16837279C2211yescharacteristic, complemented
149#16837279C2211yescharacteristic, complemented
150#16837278C2211yescharacteristic
151#16837276C2211yescharacteristic
152#16837276C2211yescharacteristic, complemented
153#16837273C2211yescharacteristic
154#16837273C2211yescharacteristic, complemented
155#16837267C2211yescharacteristic, complemented
156#16837264C2211yescharacteristic
157#16837260C2211yescharacteristic, complemented
158#16837259C2211yescharacteristic
159#16837257C2211yescharacteristic
160C4⋊C4×Dic59C2211yescharacteristic, complemented
161C4×Dic59⋊C4C2211yescharacteristic, complemented
162#16837253C2211yescharacteristic, complemented
163#16837253C2211yescharacteristic, complemented
164C22⋊C4×Dic59C2211yescharacteristic, complemented
165C22⋊C4×Dic59C2211yescharacteristic, complemented
166C4×(C2×D59)⋊C4C2211yescharacteristic
167#16837249C2211yescharacteristic
168#16837249C2211yescharacteristic
169#16837249C2211yescharacteristic, complemented
170#16837249C2211yescharacteristic, complemented
171#95×D59C2211yescharacteristic
172#95×D59C2211yescharacteristic
173C42×Dic59C2211yescharacteristic, complemented
174C2×#123×C59C2211yescharacteristic
175C2×C22⋊Q8×C59C2211yescharacteristic, complemented
176C59×#400C2211yescharacteristic, complemented
177C59×#399C2211yescharacteristic
178C59×#397C2211yescharacteristic, complemented
179C59×#397C2211yescharacteristic, complemented
180C59×#395C2211yescharacteristic, complemented
181C59×#394C2211yescharacteristic
182C59×#394C2211yescharacteristic
183C59×#393C2211yescharacteristic
184C59×#389C2211yescharacteristic, complemented
185C59×#389C2211yescharacteristic, complemented
186C59×#388C2211yescharacteristic
187C59×#388C2211yescharacteristic
188C4×C22⋊C4×C59C2211yescharacteristic, complemented
189C24×D59C2311yescharacteristic
190C22×Dic118C2311yescharacteristic
191C22×D236C2311yescharacteristic
192C22×D236C2311yescharacteristic
193C22×D236C2311yescharacteristic
194C22×D236C2311yescharacteristic
195C22×D236C2311yescharacteristic
196C22×C22⋊D59C2311yescharacteristic
197C22×C22⋊D59C2311yescharacteristic
198C22×C22⋊D59C2311yescharacteristic
199C22×C22⋊D59C2311yescharacteristic
200C22×C22⋊D59C2311yescharacteristic
201C22×C22⋊D59C2311yescharacteristic
202C23×Dic59C2311yescharacteristic
203C23×Dic59C2311yescharacteristic
204C22×C4×D59C2311yescharacteristic
205C22×C4×D59C2311yescharacteristic
206C22×C4×D59C2311yescharacteristic
207C22×C4×D59C2311yescharacteristic
208C22×C4×D59C2311yescharacteristic
209C22×C4×D59C2311yescharacteristic
210C22×C4×D59C2311yescharacteristic
211C22×C4×D59C2311yescharacteristic
212#14273722—24no—
213#14273722—24no—
214#14273720—24no—
215#14273720—24no—
216#14273717—24no—
217#14273717—24no—
218#14273716—42no—
219#14273713—24no—
220#14273713—24no—
221#14273712—24no—
222#14273712—24no—
223#14273712—24no—
224#14273710—24no—
225#14273709—24no—
226#14273709—24no—
227#14273707—24no—
228#14273703—24no—
229#14273703—24no—
230#14273702—24no—
231#14273701—24no—
232#14273700—24no—
233#14273700—24no—
234#14273699—42no—
235#14273698—24no—
236#14273697—24no—
237#14273697—24no—
238#14273695—24no—
239#14273689—24no—
240#14273689—24no—
241#14273689—42no—
242C4×C22⋊D59D418yescomplemented
243(C22⋊D59)⋊C4—24no—
244(C22⋊D59)⋊C4—24no—
245C2×C4⋊Dic59C2311yescharacteristic
246C2×C4⋊Dic59C2311yescharacteristic
247C2×C4⋊Dic59C2311yescharacteristic
248C2×C4⋊Dic59C2311yescharacteristic
249C2×C4⋊Dic59C2311yescharacteristic
250C2×C4⋊Dic59C2311yescharacteristic
251C2×C4⋊Dic59C2311yescharacteristic
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×Dic59⋊C4C2311yescharacteristic
266C4⋊C4×D59—24no—
267C2×C22⋊Dic59C2311yescharacteristic
268C2×C22⋊Dic59C2311yescharacteristic
269C2×C22⋊Dic59C2311yescharacteristic
270C2×C22⋊Dic59C2311yescharacteristic
271C2×C22⋊Dic59C2311yescharacteristic
272C2×C22⋊Dic59C2311yescharacteristic
273C2×C22⋊Dic59C2311yescharacteristic
274C2×(C2×D59)⋊C4C2311yescharacteristic
275C2×(C2×D59)⋊C4C2311yescharacteristic
276C2×(C2×D59)⋊C4C2311yescharacteristic
277C2×(C2×D59)⋊C4C2311yescharacteristic
278C2×(C2×D59)⋊C4C2311yescharacteristic
279C2×(C2×D59)⋊C4C2311yescharacteristic
280C2×(C2×D59)⋊C4C2311yescharacteristic
281C2×(C2×D59)⋊C4C2311yescharacteristic
282C2×(C2×D59)⋊C4C2311yescharacteristic
283C2×(C2×D59)⋊C4C2311yescharacteristic
284C2×(C2×D59)⋊C4C2311yescharacteristic
285C2×(C2×D59)⋊C4C2311yescharacteristic
286C2×(C2×D59)⋊C4C2311yescharacteristic
287C2×(C2×D59)⋊C4C2311yescharacteristic
288C2×(C2×D59)⋊C4C2311yescharacteristic
289C2×(C2×D59)⋊C4C2311yescharacteristic
290C2×(C2×D59)⋊C4C2311yescharacteristic
291C2×(C2×D59)⋊C4C2311yescharacteristic
292C2×(C2×D59)⋊C4C2311yescharacteristic
293C2×(C2×D59)⋊C4C2311yescharacteristic
294C2×(C2×D59)⋊C4C2311yescharacteristic
295C2×(C2×D59)⋊C4C2311yescharacteristic
296C2×(C2×D59)⋊C4C2311yescharacteristic
297C2×(C2×D59)⋊C4C2311yescharacteristic
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
308C22⋊C4×D59—24no—
309C22⋊C4×D59—24no—
310C22⋊C4×D59—42no—
311C2×C4×Dic59—42no—
312C2×C4×Dic59C2311yescharacteristic
313C2×C4×Dic59C2311yescharacteristic
314C2×C4×Dic59C2311yescharacteristic
315C2×C4×Dic59C2311yescharacteristic
316C2×C4×Dic59C2311yescharacteristic
317C2×C4×Dic59C2311yescharacteristic
318C2×C4×Dic59C2311yescharacteristic
319C2×C4×Dic59C2311yescharacteristic
320C2×C4×Dic59C2311yescharacteristic
321C2×C4×Dic59C2311yescharacteristic
322C2×C4×Dic59C2311yescharacteristic
323C2×C4×Dic59C2311yescharacteristic
324C2×C4×Dic59C2311yescharacteristic
325C42×D59—42no—
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×Q8×C59C2311yescharacteristic
349C22×D4×C59C2311yescharacteristic
350C23×C4×C59C2311yescharacteristic
351#123×C59—24no—
352C22⋊Q8×C59—24no—
353C2×C4⋊C4×C59C2311yescharacteristic
354C2×C4⋊C4×C59C2311yescharacteristic
355C2×C4⋊C4×C59C2311yescharacteristic
356C2×C4⋊C4×C59C2311yescharacteristic
357C2×C4⋊C4×C59C2311yescharacteristic
358C2×C4⋊C4×C59C2311yescharacteristic
359C2×C4⋊C4×C59C2311yescharacteristic
360C2×C4⋊C4×C59C2311yescharacteristic
361C2×C4⋊C4×C59C2311yescharacteristic
362C2×C22⋊C4×C59C2311yescharacteristic
363C2×C22⋊C4×C59C2311yescharacteristic
364C2×C22⋊C4×C59C2311yescharacteristic
365C2×C22⋊C4×C59C2311yescharacteristic
366C2×C22⋊C4×C59C2311yescharacteristic
367C2×C22⋊C4×C59C2311yescharacteristic
368C2×C22⋊C4×C59C2311yescharacteristic
369C2×C22⋊C4×C59C2311yescharacteristic
370C2×C22⋊C4×C59C2311yescharacteristic
371C2×C22⋊C4×C59C2311yescharacteristic
372C2×C22⋊C4×C59C2311yescharacteristic
373C2×C42×C59C2311yescharacteristic
374C2×C42×C59C2311yescharacteristic
375#95×C59C2311yescharacteristic
376#95×C59C2311yescharacteristic
377#95×C59C2311yescharacteristic
378#95×C59C2311yescharacteristic
379#95×C59C2311yescharacteristic
380#95×C59C2311yescharacteristic
381#95×C59C2311yescharacteristic
382#95×C59C2311yescharacteristic
383#95×C59C2311yescharacteristic
384#95×C59C2311yescharacteristic
385C24×C59C2411yescharacteristic
386C24×C59C2411yescharacteristic
387C23×D59—22no—
388C23×D59—22no—
389C23×D59—22no—
390C23×D59—41no—
391C23×D59—41no—
392C23×D59—41no—
393C23×D59—41no—
394C23×D59C2411yescharacteristic
395C23×D59C2411yescharacteristic
396C23×D59C2411yescharacteristic
397C23×D59C2411yescharacteristic
398C2×Q8×C59—22no—
399C2×Q8×C59—41no—
400C2×Q8×C59—41no—
401C2×D4×C59—22no—
402C2×D4×C59—41no—
403C2×D4×C59—41no—
404C22×C4×C59—41no—
405C22×C4×C59—41no—
406C22×C4×C59C2×D414yes—
407C22×C4×C59C2411yescharacteristic
408C22×C4×C59C2411yescharacteristic
409C22×C4×C59C2411yescharacteristic
410C22×C4×C59C2411yescharacteristic
411C22×C4×C59C2411yescharacteristic
412C22×C4×C59C2411yescharacteristic
413C22×C4×C59C2411yescharacteristic
414C22×C4×C59C2411yescharacteristic
415C22×C4×C59C2411yescharacteristic
416C22×C4×C59C2411yescharacteristic
417C22×C4×C59C2411yescharacteristic
418C22×C4×C59C2411yescharacteristic
419C22×C4×C59C2411yescharacteristic
420C2×C22⋊D59—22no—
421C2×C22⋊D59—22no—
422C2×C22⋊D59—22no—
423C2×C22⋊D59—22no—
424C2×C22⋊D59—22no—
425C2×C22⋊D59—22no—
426C2×C22⋊D59—22no—
427C2×C22⋊D59—41no—
428C2×C22⋊D59—41no—
429C2×C22⋊D59—41no—
430C2×C22⋊D59—41no—
431C2×C22⋊D59—41no—
432C2×C22⋊D59—41no—
433C2×C22⋊D59—41no—
434C2×C22⋊D59—41no—
435C2×C22⋊D59—41no—
436C2×C22⋊D59—41no—
437C2×C22⋊D59C2×D414yes—
438C22×Dic59—22no—
439C22×Dic59—22no—
440C22×Dic59—22no—
441C22×Dic59—41no—
442C22×Dic59—41no—
443C22×Dic59—41no—
444C22×Dic59C2411yescharacteristic
445C22×Dic59C2411yescharacteristic
446C22×Dic59C2411yescharacteristic
447C22×Dic59C2411yescharacteristic
448C22×Dic59C2411yescharacteristic
449C22×Dic59C2411yescharacteristic
450C22×Dic59C2411yescharacteristic
451C22×Dic59C2411yescharacteristic
452C22×Dic59C2411yescharacteristic
453C22×Dic59C2411yescharacteristic
454C22×Dic59C2411yescharacteristic
455C22×Dic59C2411yescharacteristic
456C2×D236—22no—
457C2×D236—22no—
458C2×D236—22no—
459C2×D236—22no—
460C2×D236—22no—
461C2×D236—22no—
462C2×D236—22no—
463C2×D236—22no—
464C2×D236—22no—
465C2×D236—41no—
466C2×D236—41no—
467C2×D236—41no—
468C2×D236—41no—
469C2×D236—41no—
470C2×D236—41no—
471C2×C4×D59—22no—
472C2×C4×D59—22no—
473C2×C4×D59—22no—
474C2×C4×D59—22no—
475C2×C4×D59—22no—
476C2×C4×D59—22no—
477C2×C4×D59—22no—
478C2×C4×D59—22no—
479C2×C4×D59—22no—
480C2×C4×D59—41no—
481C2×C4×D59—41no—
482C2×C4×D59—41no—
483C2×C4×D59—41no—
484C2×C4×D59—41no—
485C2×C4×D59—41no—
486C2×C4×D59—41no—
487C2×C4×D59—41no—
488C2×C4×D59—41no—
489C2×C4×D59—41no—
490C2×C4×D59—41no—
491C2×C4×D59—41no—
492C2×C4×D59—41no—
493C2×C4×D59C2×D414yes—
494C2×C4×D59#4114yes—
495C2×Dic118—22no—
496C2×Dic118—41no—
497C2×Dic118—41no—
498C4⋊C4×C59—22no—
499C4⋊C4×C59—22no—
500C4⋊C4×C59—22no—
501C4⋊C4×C59—22no—
502C4⋊C4×C59—22no—
503C4⋊C4×C59—22no—
504C4⋊C4×C59—22no—
505C4⋊C4×C59—41no—
506C4⋊C4×C59—41no—
507C22⋊C4×C59—22no—
508C22⋊C4×C59—22no—
509C22⋊C4×C59—22no—
510C22⋊C4×C59—22no—
511C22⋊C4×C59—22no—
512C22⋊C4×C59—22no—
513C22⋊C4×C59—22no—
514C22⋊C4×C59—22no—
515C22⋊C4×C59—22no—
516C22⋊C4×C59—41no—
517C22⋊C4×C59—41no—
518C42×C59—41no—
519C42×C59—41no—
520C22⋊Dic59—22no—
521C22⋊Dic59—22no—
522C22⋊Dic59—22no—
523C22⋊Dic59—22no—
524C22⋊Dic59—22no—
525C22⋊Dic59—41no—
526C22⋊Dic59C2×D414yes—
527(C2×D59)⋊C4—22no—
528(C2×D59)⋊C4—22no—
529(C2×D59)⋊C4—22no—
530(C2×D59)⋊C4—22no—
531(C2×D59)⋊C4—22no—
532(C2×D59)⋊C4—22no—
533(C2×D59)⋊C4—22no—
534(C2×D59)⋊C4—22no—
535(C2×D59)⋊C4—22no—
536(C2×D59)⋊C4—22no—
537(C2×D59)⋊C4—22no—
538(C2×D59)⋊C4—22no—
539(C2×D59)⋊C4—22no—
540(C2×D59)⋊C4—22no—
541(C2×D59)⋊C4—22no—
542(C2×D59)⋊C4—22no—
543(C2×D59)⋊C4—22no—
544(C2×D59)⋊C4—22no—
545(C2×D59)⋊C4—22no—
546(C2×D59)⋊C4—22no—
547(C2×D59)⋊C4—22no—
548(C2×D59)⋊C4—22no—
549(C2×D59)⋊C4—22no—
550(C2×D59)⋊C4—41no—
551(C2×D59)⋊C4—41no—
552(C2×D59)⋊C4—41no—
553(C2×D59)⋊C4—41no—
554(C2×D59)⋊C4—41no—
555(C2×D59)⋊C4—41no—
556(C2×D59)⋊C4—41no—
557(C2×D59)⋊C4—41no—
558(C2×D59)⋊C4—41no—
559(C2×D59)⋊C4C2×D414yes—
560(C2×D59)⋊C4#4114yes—
561C4⋊Dic59—22no—
562C4⋊Dic59—22no—
563C4⋊Dic59—22no—
564C4⋊Dic59—22no—
565C4⋊Dic59—22no—
566C4⋊Dic59—41no—
567C4⋊Dic59—41no—
568Dic59⋊C4—22no—
569Dic59⋊C4—22no—
570Dic59⋊C4—22no—
571Dic59⋊C4—22no—
572Dic59⋊C4—22no—
573Dic59⋊C4—22no—
574Dic59⋊C4—22no—
575Dic59⋊C4—22no—
576Dic59⋊C4—22no—
577Dic59⋊C4—22no—
578Dic59⋊C4—22no—
579Dic59⋊C4—41no—
580Dic59⋊C4—41no—
581Dic59⋊C4C2×D414yes—
582C4×Dic59—22no—
583C4×Dic59—22no—
584C4×Dic59—22no—
585C4×Dic59—22no—
586C4×Dic59—22no—
587C4×Dic59—22no—
588C4×Dic59—22no—
589C4×Dic59—41no—
590C4×Dic59—41no—
591C4×Dic59—41no—
592C4×Dic59—41no—
593C4×Dic59—41no—
594C4×Dic59C2×D414yes—
595C23×C59—21no—
596C23×C59—21no—
597C23×C59—21no—
598C23×C59—21no—
599C23×C59—21no—
600C23×C59—21no—
601C23×C59—21no—
602C23×C59—21no—
603C23×C59—21no—
604C23×C59—21no—
605C23×C59—21no—
606C23×C59—21no—
607C23×C59—21no—
608C23×C59C22×D412yes—
609C23×C59C2511yescharacteristic
610C22×D59—21no—
611C22×D59—21no—
612C22×D59—21no—
613C22×D59—21no—
614C22×D59—21no—
615C22×D59—21no—
616C22×D59—21no—
617C22×D59—21no—
618C22×D59—21no—
619C22×D59—21no—
620C22×D59—21no—
621C22×D59—21no—
622C22×D59—21no—
623C22×D59—21no—
624C22×D59—21no—
625C22×D59—21no—
626C22×D59—21no—
627C22×D59—21no—
628C22×D59—21no—
629C22×D59—21no—
630C22×D59—21no—
631C22×D59—21no—
632C22×D59—21no—
633C22×D59—21no—
634C22×D59—21no—
635C22×D59—44no—
636C22×D59—44no—
637C22×D59—44no—
638C22×D59—82no—
639C22×D59—82no—
640C22×D59—82no—
641C22×D59—82no—
642C22×D59C22×D412yes—
643C22×D59C2×#4112yes—
644C22×D59C2×#4112yes—
645Q8×C59—82no—
646D4×C59—82no—
647C2×C4×C59—21no—
648C2×C4×C59—21no—
649C2×C4×C59—21no—
650C2×C4×C59—21no—
651C2×C4×C59—21no—
652C2×C4×C59—21no—
653C2×C4×C59—21no—
654C2×C4×C59—21no—
655C2×C4×C59—21no—
656C2×C4×C59—21no—
657C2×C4×C59—21no—
658C2×C4×C59—21no—
659C2×C4×C59—21no—
660C2×C4×C59—21no—
661C2×C4×C59—21no—
662C2×C4×C59—21no—
663C2×C4×C59—21no—
664C2×C4×C59—21no—
665C2×C4×C59—21no—
666C2×C4×C59—21no—
667C2×C4×C59—21no—
668C2×C4×C59—21no—
669C2×C4×C59—21no—
670C2×C4×C59—21no—
671C2×C4×C59—21no—
672C2×C4×C59—21no—
673C2×C4×C59—21no—
674C2×C4×C59—21no—
675C2×C4×C59—21no—
676C2×C4×C59—21no—
677C2×C4×C59—21no—
678C2×C4×C59—21no—
679C2×C4×C59—21no—
680C2×C4×C59—21no—
681C2×C4×C59—21no—
682C2×C4×C59—44no—
683C2×C4×C59C22×D412yes—
684C2×C4×C59C22×D412yes—
685C2×C4×C59C2×#4112yes—
686C2×C4×C59C2×#4112yes—
687C22⋊D59—28no—
688C22⋊D59—82no—
689C22⋊D59—82no—
690C22⋊D59—82no—
691C22⋊D59—82no—
692C22⋊D59—82no—
693C2×Dic59—21no—
694C2×Dic59—21no—
695C2×Dic59—21no—
696C2×Dic59—21no—
697C2×Dic59—21no—
698C2×Dic59—21no—
699C2×Dic59—21no—
700C2×Dic59—21no—
701C2×Dic59—21no—
702C2×Dic59—21no—
703C2×Dic59—21no—
704C2×Dic59—21no—
705C2×Dic59—21no—
706C2×Dic59—21no—
707C2×Dic59—21no—
708C2×Dic59—21no—
709C2×Dic59—21no—
710C2×Dic59—21no—
711C2×Dic59—21no—
712C2×Dic59—21no—
713C2×Dic59—21no—
714C2×Dic59—21no—
715C2×Dic59—21no—
716C2×Dic59—21no—
717C2×Dic59—21no—
718C2×Dic59—21no—
719C2×Dic59—21no—
720C2×Dic59—21no—
721C2×Dic59—21no—
722C2×Dic59—21no—
723C2×Dic59—44no—
724C2×Dic59—44no—
725C2×Dic59C22×D412yes—
726C2×Dic59C22×D412yes—
727C2×Dic59C22×D412yes—
728C2×Dic59C2×#4112yes—
729C2×Dic59C2×#4112yes—
730C2×Dic59H(5,𝔽2)12yes—
731D236—44no—
732D236—44no—
733D236—44no—
734D236—82no—
735D236—82no—
736C4×D59—44no—
737C4×D59—44no—
738C4×D59—44no—
739C4×D59—44no—
740C4×D59—82no—
741C4×D59—82no—
742C4×D59—82no—
743C4×D59—82no—
744Dic118—82no—
745#35009—591nomaximal, Sylow
746C22×C59—22no—
747C22×C59—22no—
748C22×C59—22no—
749C22×C59—41no—
750C22×C59—41no—
751C22×C59—41no—
752C22×C59—41no—
753C22×C59—41no—
754C22×C59—41no—
755C22×C59—41no—
756C22×C59—41no—
757C22×C59—41no—
758C22×C59—41no—
759C22×C59—41no—
760C22×C59C23×D411yescharacteristic
761C22×C59C22×#4111yescharacteristic
762C22×C59C22×#4111yescharacteristic
763C22×C59C2×H(5,𝔽2)11yescharacteristic
764C22×C59#58511yescharacteristic
765C22×C59#58511yescharacteristic
766C22×C59#58511yescharacteristic
767C2×D59—22no—
768C2×D59—22no—
769C2×D59—22no—
770C2×D59—22no—
771C2×D59—22no—
772C2×D59—22no—
773C2×D59—41no—
774C2×D59—41no—
775C2×D59—41no—
776C2×D59—41no—
777C2×D59—41no—
778C2×D59—41no—
779C2×D59—41no—
780C2×D59—41no—
781C2×D59—41no—
782C2×D59—41no—
783C2×D59—41no—
784C2×D59—41no—
785C2×D59—41no—
786C2×D59—41no—
787C2×D59—41no—
788C2×D59—41no—
789C2×D59—41no—
790C2×D59—41no—
791C2×D59—41no—
792C2×D59—41no—
793C2×D59—41no—
794C2×D59—88no—
795C2×D59#53214yes—
796C4×C59—22no—
797C4×C59—22no—
798C4×C59—22no—
799C4×C59—22no—
800C4×C59—41no—
801C4×C59—41no—
802C4×C59—41no—
803C4×C59—41no—
804C4×C59—41no—
805C4×C59—41no—
806C4×C59—41no—
807C4×C59—41no—
808C4×C59—41no—
809Dic59—22no—
810Dic59—22no—
811Dic59—22no—
812Dic59—22no—
813Dic59—22no—
814Dic59—22no—
815Dic59—41no—
816Dic59—41no—
817Dic59—41no—
818Dic59—41no—
819Dic59—41no—
820Dic59—41no—
821C2×#539—591no—
822C2×#538—591no—
823#2861—591no—
824#2860—591no—
825#2854—591no—
826#2850—591no—
827#2664—591no—
828#2663D5911yescharacteristic, complemented
829#2662—591no—
830#2661—591no—
831#2560—591no—
832#2559—591no—
833#2558—591no—
834#2557—591no—
835#2549—591no—
836#2543—591no—
837#2539—591no—
838#2534—591no—
839#2521—591no—
840#2519—591no—
841#2488—591no—
842#2472—591no—
843#2464—591no—
844#2461—591no—
845#2425—591no—
846#2424—591no—
847#2322—591no—
848#2321—591no—
849C4×#121—591no—
850C2×#388—591no—
851C42×D4—591no—
852C2×C59—42no—
853C2×C59—81no—
854C2×C59C2×#53211yescharacteristic
855C2×C59#345511yescharacteristic
856C2×C59#345911yescharacteristic
857C2×C59#349611yescharacteristic
858C2×C59#350011yescharacteristic
859C2×C59#351311yescharacteristic
860C2×C59#352111yescharacteristic
861D59—24no—
862D59—81no—
863D59—81no—
864D59—81no—
865#539—1188no—
866#538—1188no—
867C2×#126—591no—
868C2×#126—591no—
869C2×#126—591no—
870C2×#126—591no—
871C2×#125—591no—
872C2×#125—591no—
873C2×#124—591no—
874C2×#124—591no—
875C2×#124—591no—
876C2×#123—591no—
877C2×#123—591no—
878C2×#123—591no—
879C2×#123—591no—
880C2×#123—591no—
881C2×#123—591no—
882C2×#123C2×D5911yescharacteristic
883C2×C22⋊Q8—591no—
884C2×C22⋊Q8—591no—
885C2×C22⋊Q8—591no—
886C2×C22⋊Q8C2×D5911yescharacteristic, complemented
887C2×#121—591no—
888C2×#121—591no—
889C2×#121—591no—
890C2×#121—591no—
891C2×#121—591no—
892C2×#121—591no—
893C2×#120—591no—
894C2×#120—591no—
895C2×#120—591no—
896C2×C4×D4—591no—
897C2×C4×D4—591no—
898C2×C4×D4—591no—
899C2×C4×D4—591no—
900C2×C4×D4—591no—
901C2×C4×D4—591no—
902C22×C4⋊C4—591no—
903C22×C22⋊C4—591no—
904C22×C22⋊C4—591no—
905C22×C22⋊C4—591no—
906C22×C42—591no—
907C22×C42—591no—
908#400—591no—
909#400C2×D5911yescharacteristic, complemented
910#399—591no—
911#399C2×D5911yescharacteristic
912#398—591no—
913#398—591no—
914#398—591no—
915#398—591no—
916#397—591no—
917#397—591no—
918#397C2×D5911yescharacteristic, complemented
919#397C2×D5911yescharacteristic, complemented
920#396—591no—
921#396—591no—
922#396—591no—
923#396—591no—
924#395—591no—
925#395C2×D5911yescharacteristic, complemented
926#394—591no—
927#394—591no—
928#394—591no—
929#394—591no—
930#394—591no—
931#394—591no—
932#394C2×D5911yescharacteristic
933#394C2×D5911yescharacteristic
934#393—591no—
935#393C2×D5911yescharacteristic
936#392—591no—
937#392—591no—
938#392—591no—
939#392—591no—
940#391—591no—
941#391—591no—
942#391—591no—
943#390—591no—
944#390—591no—
945#390—591no—
946#390—591no—
947#390—591no—
948#390—591no—
949#390—591no—
950#390—591no—
951#390—591no—
952#389—591no—
953#389—591no—
954#389—591no—
955#389—591no—
956#389C2×D5911yescharacteristic, complemented
957#389C2×D5911yescharacteristic, complemented
958#388—591no—
959#388—591no—
960#388—591no—
961#388—591no—
962#388—591no—
963#388—591no—
964#388—591no—
965#388—591no—
966#388—591no—
967#388—591no—
968#388—591no—
969#388—591no—
970#388—591no—
971#388—591no—
972#388—591no—
973#388—591no—
974#388—591no—
975#388—591no—
976#388—591no—
977#388—591no—
978#388—591no—
979#388—591no—
980#388—591no—
981#388—591no—
982#388C2×D5911yescharacteristic
983#388C2×D5911yescharacteristic
984#387—591no—
985#387—591no—
986#386—591no—
987#386—591no—
988#386—591no—
989#386—591no—
990#386—591no—
991#386—591no—
992#386—591no—
993#386—591no—
994#386—591no—
995#386—591no—
996#386—591no—
997#386—591no—
998#385—591no—
999#385—591no—
1000#385—591no—
1001#385—591no—
1002#382—591no—
1003#381—591no—
1004#380—591no—
1005#380—591no—
1006#379—591no—
1007C4×C4⋊C4—591no—
1008C4×C4⋊C4—591no—
1009C4×C4⋊C4—591no—
1010C4×C4⋊C4—591no—
1011C4×C22⋊C4—591no—
1012C4×C22⋊C4—591no—
1013C4×C22⋊C4—591no—
1014C4×C22⋊C4—591no—
1015C4×C22⋊C4—591no—
1016C4×C22⋊C4—591no—
1017C4×C22⋊C4—591no—
1018C4×C22⋊C4C2×D5911yescharacteristic, complemented
1019C2×#95—591no—
1020C2×#95—591no—
1021C43—591no—
1022C59#3500911yescharacteristic, complemented, Sylow
1023C25—591no—
1024C22×Q8—591no—
1025C22×Q8C22×D5911yescharacteristic
1026C22×D4—591no—
1027C22×D4—591no—
1028C22×D4—591no—
1029C22×D4—591no—
1030C22×D4—591no—
1031C22×D4—591no—
1032C22×D4—591no—
1033C22×D4—591no—
1034C22×D4—591no—
1035C22×D4—591no—
1036C22×D4—591no—
1037C22×D4C22×D5911yescharacteristic
1038C23×C4—591no—
1039C23×C4—591no—
1040C23×C4—591no—
1041C23×C4—591no—
1042C23×C4—591no—
1043C23×C4—591no—
1044C23×C4—591no—
1045C23×C4—591no—
1046C23×C4—591no—
1047C23×C4—591no—
1048C23×C4C22×D5911yescharacteristic
1049#126—1184no—
1050#126—1184no—
1051#126—1184no—
1052#126—1184no—
1053#125—1184no—
1054#125—1184no—
1055#124—1184no—
1056#124—1184no—
1057#124—2362no—
1058#123—24no—
1059#123—1184no—
1060#123—1184no—
1061#123—1184no—
1062#123—1184no—
1063#123—1184no—
1064#123—1184no—
1065C22⋊Q8—24no—
1066C22⋊Q8—1184no—
1067C22⋊Q8—1184no—
1068C22⋊Q8—1184no—
1069#121—1184no—
1070#121—1184no—
1071#121—1184no—
1072#121—1184no—
1073#121—1184no—
1074#121—2362no—
1075#120—1184no—
1076#120—1184no—
1077#120—1184no—
1078C4×D4—598no—
1079C4×D4—1184no—
1080C4×D4—1184no—
1081C4×D4—1184no—
1082C4×D4—1184no—
1083C4×D4—2362no—
1084C2×C4⋊C4—591no—
1085C2×C4⋊C4—591no—
1086C2×C4⋊C4—591no—
1087C2×C4⋊C4—591no—
1088C2×C4⋊C4—591no—
1089C2×C4⋊C4—591no—
1090C2×C4⋊C4—591no—
1091C2×C4⋊C4—591no—
1092C2×C4⋊C4—591no—
1093C2×C4⋊C4—591no—
1094C2×C4⋊C4—591no—
1095C2×C4⋊C4—591no—
1096C2×C4⋊C4—591no—
1097C2×C4⋊C4—591no—
1098C2×C4⋊C4—591no—
1099C2×C4⋊C4—591no—
1100C2×C4⋊C4—591no—
1101C2×C4⋊C4—591no—
1102C2×C4⋊C4—591no—
1103C2×C4⋊C4—591no—
1104C2×C4⋊C4—591no—
1105C2×C4⋊C4—1184no—
1106C2×C4⋊C4C22×D5911yescharacteristic
1107C2×C4⋊C4C22×D5911yescharacteristic
1108C2×C4⋊C4C22×D5911yescharacteristic
1109C2×C4⋊C4C22×D5911yescharacteristic
1110C2×C4⋊C4C22×D5911yescharacteristic
1111C2×C4⋊C4C22×D5911yescharacteristic
1112C2×C4⋊C4C22×D5911yescharacteristic
1113C2×C4⋊C4C22×D5911yescharacteristic
1114C2×C4⋊C4C22×D5911yescharacteristic
1115C2×C22⋊C4—591no—
1116C2×C22⋊C4—591no—
1117C2×C22⋊C4—591no—
1118C2×C22⋊C4—591no—
1119C2×C22⋊C4—591no—
1120C2×C22⋊C4—591no—
1121C2×C22⋊C4—591no—
1122C2×C22⋊C4—591no—
1123C2×C22⋊C4—591no—
1124C2×C22⋊C4—591no—
1125C2×C22⋊C4—591no—
1126C2×C22⋊C4—591no—
1127C2×C22⋊C4—591no—
1128C2×C22⋊C4—591no—
1129C2×C22⋊C4—591no—
1130C2×C22⋊C4—591no—
1131C2×C22⋊C4—591no—
1132C2×C22⋊C4—591no—
1133C2×C22⋊C4—591no—
1134C2×C22⋊C4—591no—
1135C2×C22⋊C4—591no—
1136C2×C22⋊C4—591no—
1137C2×C22⋊C4—591no—
1138C2×C22⋊C4—591no—
1139C2×C22⋊C4—591no—
1140C2×C22⋊C4—591no—
1141C2×C22⋊C4—591no—
1142C2×C22⋊C4—591no—
1143C2×C22⋊C4—591no—
1144C2×C22⋊C4—591no—
1145C2×C22⋊C4—591no—
1146C2×C22⋊C4—591no—
1147C2×C22⋊C4—591no—
1148C2×C22⋊C4—591no—
1149C2×C22⋊C4—591no—
1150C2×C22⋊C4—591no—
1151C2×C22⋊C4—591no—
1152C2×C22⋊C4—591no—
1153C2×C22⋊C4—591no—
1154C2×C22⋊C4—591no—
1155C2×C22⋊C4—591no—
1156C2×C22⋊C4—1184no—
1157C2×C22⋊C4—1184no—
1158C2×C22⋊C4—2362no—
1159C2×C22⋊C4C22×D5911yescharacteristic
1160C2×C22⋊C4C22×D5911yescharacteristic
1161C2×C22⋊C4C22×D5911yescharacteristic
1162C2×C22⋊C4C22×D5911yescharacteristic
1163C2×C22⋊C4C22×D5911yescharacteristic
1164C2×C22⋊C4C22×D5911yescharacteristic
1165C2×C22⋊C4C22×D5911yescharacteristic
1166C2×C22⋊C4C22×D5911yescharacteristic
1167C2×C22⋊C4C22×D5911yescharacteristic
1168C2×C22⋊C4C22×D5911yescharacteristic
1169C2×C22⋊C4C22×D5911yescharacteristic
1170C2×C42—591no—
1171C2×C42—591no—
1172C2×C42—591no—
1173C2×C42—591no—
1174C2×C42—591no—
1175C2×C42—591no—
1176C2×C42—591no—
1177C2×C42—591no—
1178C2×C42—591no—
1179C2×C42—591no—
1180C2×C42—591no—
1181C2×C42—591no—
1182C2×C42—591no—
1183C2×C42—2362no—
1184C2×C42—2362no—
1185C2×C42C22×D5911yescharacteristic
1186C2×C42C22×D5911yescharacteristic
1187#95—591no—
1188#95—591no—
1189#95—591no—
1190#95—591no—
1191#95—591no—
1192#95—591no—
1193#95—591no—
1194#95—591no—
1195#95—591no—
1196#95—591no—
1197#95—591no—
1198#95—591no—
1199#95—591no—
1200#95—591no—
1201#95—591no—
1202#95—591no—
1203#95—591no—
1204#95—591no—
1205#95—591no—
1206#95—591no—
1207#95—591no—
1208#95—591no—
1209#95C22×D5911yescharacteristic
1210#95C22×D5911yescharacteristic
1211#95C22×D5911yescharacteristic
1212#95C22×D5911yescharacteristic
1213#95C22×D5911yescharacteristic
1214#95C22×D5911yescharacteristic
1215#95C22×D5911yescharacteristic
1216#95C22×D5911yescharacteristic
1217#95C22×D5911yescharacteristic
1218#95C22×D5911yescharacteristic
1219C24—591no—
1220C24—591no—
1221C24—591no—
1222C24—591no—
1223C24—1182no—
1224C24—1182no—
1225C24—1182no—
1226C24—2361no—
1227C24—2361no—
1228C24—2361no—
1229C24—2361no—
1230C24C23×D5911yescharacteristic
1231C24C23×D5911yescharacteristic
1232C2×Q8—22no—
1233C2×Q8—41no—
1234C2×Q8—41no—
1235C2×Q8—1182no—
1236C2×Q8—2361no—
1237C2×Q8—2361no—
1238C2×D4—22no—
1239C2×D4—41no—
1240C2×D4—41no—
1241C2×D4—594no—
1242C2×D4—1182no—
1243C2×D4—1182no—
1244C2×D4—1182no—
1245C2×D4—1182no—
1246C2×D4—1182no—
1247C2×D4—1182no—
1248C2×D4—1182no—
1249C2×D4—1182no—
1250C2×D4—1182no—
1251C2×D4—1182no—
1252C2×D4—1182no—
1253C2×D4—1182no—
1254C2×D4—1182no—
1255C2×D4—1182no—
1256C2×D4—1182no—
1257C2×D4—1182no—
1258C2×D4—2361no—
1259C2×D4—2361no—
1260C2×D4—2361no—
1261C2×D4—2361no—
1262C2×D4—2361no—
1263C2×D4—2361no—
1264C2×D4—2361no—
1265C2×D4—2361no—
1266C2×D4—2361no—
1267C2×D4—2361no—
1268C2×D4—2361no—
1269C2×D4—2361no—
1270C2×D4—2361no—
1271C2×D4—2361no—
1272C2×D4—2361no—
1273C2×D4—2361no—
1274C22×C4—41no—
1275C22×C4—41no—
1276C22×C4—591no—
1277C22×C4—591no—
1278C22×C4—591no—
1279C22×C4—591no—
1280C22×C4—591no—
1281C22×C4—591no—
1282C22×C4—594no—
1283C22×C4—594no—
1284C22×C4—591no—
1285C22×C4—591no—
1286C22×C4—591no—
1287C22×C4—591no—
1288C22×C4—591no—
1289C22×C4—591no—
1290C22×C4—1182no—
1291C22×C4—1182no—
1292C22×C4—1182no—
1293C22×C4—1182no—
1294C22×C4—1182no—
1295C22×C4—1182no—
1296C22×C4—1182no—
1297C22×C4—1182no—
1298C22×C4—1182no—
1299C22×C4—1182no—
1300C22×C4—1182no—
1301C22×C4—1182no—
1302C22×C4—2361no—
1303C22×C4—2361no—
1304C22×C4—2361no—
1305C22×C4—2361no—
1306C22×C4—2361no—
1307C22×C4—2361no—
1308C22×C4—2361no—
1309C22×C4—2361no—
1310C22×C4—2361no—
1311C22×C4—2361no—
1312C22×C4—2361no—
1313C22×C4—2361no—
1314C22×C4—2361no—
1315C22×C4—2361no—
1316C22×C4—2361no—
1317C22×C4—2361no—
1318C22×C4D4×D5914yes—
1319C22×C4C23×D5911yescharacteristic
1320C22×C4C23×D5911yescharacteristic
1321C22×C4C23×D5911yescharacteristic
1322C22×C4C23×D5911yescharacteristic
1323C22×C4C23×D5911yescharacteristic
1324C22×C4C23×D5911yescharacteristic
1325C22×C4C23×D5911yescharacteristic
1326C22×C4C23×D5911yescharacteristic
1327C22×C4C23×D5911yescharacteristic
1328C22×C4C23×D5911yescharacteristic
1329C22×C4C23×D5911yescharacteristic
1330C22×C4C23×D5911yescharacteristic
1331C22×C4C23×D5911yescharacteristic
1332C4⋊C4—22no—
1333C4⋊C4—22no—
1334C4⋊C4—22no—
1335C4⋊C4—22no—
1336C4⋊C4—22no—
1337C4⋊C4—22no—
1338C4⋊C4—22no—
1339C4⋊C4—41no—
1340C4⋊C4—41no—
1341C4⋊C4—594no—
1342C4⋊C4—1182no—
1343C4⋊C4—1182no—
1344C4⋊C4—1182no—
1345C4⋊C4—1182no—
1346C4⋊C4—1182no—
1347C4⋊C4—1182no—
1348C4⋊C4—1182no—
1349C4⋊C4—1182no—
1350C4⋊C4—1182no—
1351C4⋊C4—1182no—
1352C4⋊C4—1182no—
1353C4⋊C4—1182no—
1354C4⋊C4—1182no—
1355C4⋊C4—1182no—
1356C4⋊C4—1182no—
1357C4⋊C4—1182no—
1358C4⋊C4—2361no—
1359C4⋊C4—2361no—
1360C4⋊C4—2361no—
1361C4⋊C4—2361no—
1362C22⋊C4—22no—
1363C22⋊C4—22no—
1364C22⋊C4—22no—
1365C22⋊C4—22no—
1366C22⋊C4—22no—
1367C22⋊C4—22no—
1368C22⋊C4—22no—
1369C22⋊C4—22no—
1370C22⋊C4—22no—
1371C22⋊C4—41no—
1372C22⋊C4—41no—
1373C22⋊C4—594no—
1374C22⋊C4—594no—
1375C22⋊C4—594no—
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—
1414C42—41no—
1415C42—41no—
1416C42—594no—
1417C42—1182no—
1418C42—1182no—
1419C42—1182no—
1420C42—1182no—
1421C42—1182no—
1422C42—1182no—
1423C42—1182no—
1424C42—2361no—
1425C42—2361no—
1426C42—2361no—
1427C42—2361no—
1428C42—2361no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—592no—
1443C23—592no—
1444C23—592no—
1445C23—1181no—
1446C23—1181no—
1447C23—1181no—
1448C23—1181no—
1449C23—1181no—
1450C23—1181no—
1451C23—1181no—
1452C23—1181no—
1453C23—1181no—
1454C23—1181no—
1455C23—1181no—
1456C23—1181no—
1457C23—1181no—
1458C23—1181no—
1459C23—1181no—
1460C23—1181no—
1461C23—1181no—
1462C23—1181no—
1463C23—1181no—
1464C23—1181no—
1465C23—1181no—
1466C23—1181no—
1467C23—1181no—
1468C23—1181no—
1469C23—1181no—
1470C23—4722no—
1471C23—4722no—
1472C23—4722no—
1473C23—4722no—
1474C23—2364no—
1475C23—2364no—
1476C23—2364no—
1477C23C2×D4×D5912yes—
1478C23C24×D5911yescharacteristic
1479Q8—82no—
1480Q8—4722no—
1481D4—82no—
1482D4—1188no—
1483D4—4722no—
1484D4—4722no—
1485D4—4722no—
1486D4—4722no—
1487D4—4722no—
1488D4—4722no—
1489D4—4722no—
1490D4—2364no—
1491D4—2364no—
1492D4—2364no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—44no—
1529C2×C4—592no—
1530C2×C4—592no—
1531C2×C4—592no—
1532C2×C4—592no—
1533C2×C4—592no—
1534C2×C4—592no—
1535C2×C4—1181no—
1536C2×C4—1181no—
1537C2×C4—1181no—
1538C2×C4—1181no—
1539C2×C4—1181no—
1540C2×C4—1181no—
1541C2×C4—1181no—
1542C2×C4—1181no—
1543C2×C4—1181no—
1544C2×C4—1181no—
1545C2×C4—1181no—
1546C2×C4—1181no—
1547C2×C4—1181no—
1548C2×C4—1181no—
1549C2×C4—1181no—
1550C2×C4—1181no—
1551C2×C4—1181no—
1552C2×C4—1181no—
1553C2×C4—1181no—
1554C2×C4—1181no—
1555C2×C4—1181no—
1556C2×C4—1181no—
1557C2×C4—1181no—
1558C2×C4—1181no—
1559C2×C4—1181no—
1560C2×C4—1181no—
1561C2×C4—1181no—
1562C2×C4—1181no—
1563C2×C4—1181no—
1564C2×C4—1181no—
1565C2×C4—4722no—
1566C2×C4—4722no—
1567C2×C4—4722no—
1568C2×C4—4722no—
1569C2×C4—2364no—
1570C2×C4—2364no—
1571C2×C4—2364no—
1572C2×C4—2364no—
1573C2×C4—2364no—
1574C2×C4—2364no—
1575C2×C4C2×D4×D5912yes—
1576C2×C4C2×D4×D5912yes—
1577C2×C4#41×D5912yes—
1578C2×C4#41×D5912yes—
1579C22—22no—
1580C22—22no—
1581C22—22no—
1582C22—41no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—594no—
1594C22—1182no—
1595C22—1182no—
1596C22—1182no—
1597C22—1182no—
1598C22—1182no—
1599C22—1182no—
1600C22—4728no—
1601C22—2361no—
1602C22—2361no—
1603C22—2361no—
1604C22—2361no—
1605C22—2361no—
1606C22—2361no—
1607C22—2361no—
1608C22—2361no—
1609C22—2361no—
1610C22—2361no—
1611C22—2361no—
1612C22—2361no—
1613C22—2361no—
1614C22—2361no—
1615C22—2361no—
1616C22—2361no—
1617C22—2361no—
1618C22—2361no—
1619C22—2361no—
1620C22—2361no—
1621C22—2361no—
1622C22C22×D4×D5911yescharacteristic
1623C22C2×#41×D5911yescharacteristic
1624C22C2×#41×D5911yescharacteristic
1625C22H(5,𝔽2)×D5911yescharacteristic
1626C22#1683823711yescharacteristic
1627C22#1683823911yescharacteristic
1628C22#1683823911yescharacteristic
1629C4—22no—
1630C4—22no—
1631C4—22no—
1632C4—22no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—1182no—
1643C4—1182no—
1644C4—1182no—
1645C4—1182no—
1646C4—1182no—
1647C4—1182no—
1648C4—2361no—
1649C4—2361no—
1650C4—2361no—
1651C4—2361no—
1652C4—2361no—
1653C4—2361no—
1654C2—42no—
1655C2—81no—
1656C2—1184no—
1657C2—4721no—
1658C2—4721no—
1659C2—4721no—
1660C2#532×D5911yescharacteristic
1661C2#2143748311yescharacteristic
1662C2#2143750411yescharacteristic
1663C2#2143785711yescharacteristic
1664C2#2143788511yescharacteristic
1665C2#2143804211yescharacteristic
1666C2#2143815411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2663C2
hypercenter#2663D59
hypocenterC59#35009
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2663

Complements

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

NH ≅ G/Ntype
1. C2×#16837998C2semidirect
2. C2×#16837988C2semidirect
3. #21432465C2semidirect
4. #21432464C2semidirect
5. #21432425C2semidirect
6. #21432399C2semidirect
7. #21430259C2semidirect
8. #21430239C2semidirect
9. #21430222C2semidirect
10. #21429243C2semidirect
11. #21429220C2semidirect
12. #21429213C2semidirect
13. #21429190C2semidirect
14. #21429101C2semidirect
15. #21429053C2semidirect
16. #21429023C2semidirect
17. #21428981C2semidirect
18. #21428792C2semidirect
19. #21428764C2semidirect
20. #21428423C2semidirect
21. #21428225C2semidirect
22. #21428103C2semidirect
23. #21428066C2semidirect
24. #21427650C2semidirect
25. #21427633C2semidirect
26. #21426760C2semidirect
27. #21426749C2semidirect
28. #21426604C2semidirect
29. #388×D59C2semidirect
30. C4×(C22⋊D59)⋊C4C2semidirect
31. C59×#2663C2semidirect
35. C2×#14273722C22semidirect
37. C2×#14273720C22semidirect
38. C2×#14273717C22semidirect
39. C2×#14273717C22semidirect
46. C2×#14273710C22semidirect
48. C2×#14273709C22semidirect
51. C2×#14273703C22semidirect
63. C2×#14273689C22semidirect
71. C22×C4×Dic59C22semidirect
73. #16837344C22semidirect
75. #16837336C22semidirect
76. #16837335C22semidirect
77. #16837334C22semidirect
78. #16837333C22semidirect
80. #16837329C22semidirect
82. #16837326C22semidirect
85. #16837323C22semidirect
87. #16837320C22semidirect
90. #16837318C22semidirect
92. #16837315C22semidirect
96. #16837311C22semidirect
97. #16837309C22semidirect
98. #16837306C22semidirect
99. #16837306C22semidirect
101. #16837304C22semidirect
109. #16837301C22semidirect
110. #16837298C22semidirect
111. #16837297C22semidirect
112. #16837297C22semidirect
120. #16837294C22semidirect
121. #16837294C22semidirect
123. #16837293C22semidirect
126. #16837292C22semidirect
127. #16837292C22semidirect
128. #16837292C22semidirect
129. #16837292C22semidirect
133. #16837291C22semidirect
134. #16837291C22semidirect
137. #16837288C22semidirect
138. #16837284C22semidirect
147. #16837279C22semidirect
148. #16837279C22semidirect
149. #16837279C22semidirect
152. #16837276C22semidirect
154. #16837273C22semidirect
155. #16837267C22semidirect
157. #16837260C22semidirect
160. C4⋊C4×Dic59C22semidirect
161. C4×Dic59⋊C4C22semidirect
162. #16837253C22semidirect
163. #16837253C22semidirect
164. C22⋊C4×Dic59C22semidirect
165. C22⋊C4×Dic59C22semidirect
169. #16837249C22semidirect
170. #16837249C22semidirect
173. C42×Dic59C22semidirect
175. C2×C22⋊Q8×C59C22semidirect
176. C59×#400C22semidirect
178. C59×#397C22semidirect
179. C59×#397C22semidirect
180. C59×#395C22semidirect
184. C59×#389C22semidirect
185. C59×#389C22semidirect
188. C4×C22⋊C4×C59C22semidirect
242. C4×C22⋊D59D4semidirect
828. #2663D59semidirect
886. C2×C22⋊Q8C2×D59semidirect
909. #400C2×D59semidirect
918. #397C2×D59semidirect
919. #397C2×D59semidirect
925. #395C2×D59semidirect
956. #389C2×D59semidirect
957. #389C2×D59semidirect
1018. C4×C22⋊C4C2×D59semidirect
1022. C59#35009semidirect

Maximal subgroups

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

subgroupindex
C2×#168379982
C2×#168379882
#214324652
#214324642
#214324252
#214323992
#214302592
#214302392
#214302222
#214292432
#214292202
#214292132
#214291902
#214291012
#214290532
#214290232
#214289812
#214287922
#214287642
#214284232
#214282252
#214281032
#214280662
#214276502
#214276332
#214267602
#214267492
#214266042
#388×D592
C4×(C22⋊D59)⋊C42
C59×#26632
#3500959