Finite Group Databasebeta

← #28795727

Subgroups — #28795727

Order 15104.

2432 conjugacy classes of subgroups.

The subgroup lattice has 1672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837999C211yesmaximal, characteristic, complemented
2C2×#16837909C211yesmaximal, characteristic, complemented
3#21432391C211yesmaximal, characteristic, complemented
4#21432382C211yesmaximal, characteristic, complemented
5#21430806C211yesmaximal, characteristic, complemented
6#21430787C211yesmaximal, characteristic, complemented
7#21430761C211yesmaximal, characteristic, complemented
8#21430742C211yesmaximal, characteristic, complemented
9#21430712C211yesmaximal, characteristic, complemented
10#21430677C211yesmaximal, characteristic, complemented
11#21430660C211yesmaximal, characteristic, complemented
12#21430492C211yesmaximal, characteristic, complemented
13#21430470C211yesmaximal, characteristic, complemented
14#21430461C211yesmaximal, characteristic, complemented
15#21430450C211yesmaximal, characteristic, complemented
16#21430448C211yesmaximal, characteristic, complemented
17#21430440C211yesmaximal, characteristic, complemented
18#21430433C211yesmaximal, characteristic, complemented
19#21430428C211yesmaximal, characteristic, complemented
20#21430415C211yesmaximal, characteristic, complemented
21#21430017C211yesmaximal, characteristic, complemented
22#21429941C211yesmaximal, characteristic, complemented
23#21429790C211yesmaximal, characteristic, complemented
24#21429722C211yesmaximal, characteristic, complemented
25#21429697C211yesmaximal, characteristic, complemented
26#21429683C211yesmaximal, characteristic, complemented
27#21429443C211yesmaximal, characteristic, complemented
28#21429294C211yesmaximal, characteristic, complemented
29#21427435C211yesmaximal, characteristic, complemented
30#21426736C211yesmaximal, characteristic, complemented
31C59×#2406C211yesmaximal, characteristic, complemented
32C23×C4×D59C2211yescharacteristic
33#16837999—28no—
34C2×#14273722C2211yescharacteristic
35C2×#14273722C2211yescharacteristic, complemented
36C2×#14273717C2211yescharacteristic, complemented
37C2×#14273717C2211yescharacteristic, complemented
38#16837909—28no—
39C2×#14273712C2211yescharacteristic
40C2×#14273712C2211yescharacteristic
41C2×#14273712C2211yescharacteristic
42C2×#14273710C2211yescharacteristic
43C2×#14273710C2211yescharacteristic, complemented
44C2×#14273708C2211yescharacteristic
45C2×#14273708C2211yescharacteristic
46C2×#14273706C2211yescharacteristic, complemented
47C2×#14273705C2211yescharacteristic
48C2×#14273705C2211yescharacteristic
49C2×#14273705C2211yescharacteristic, complemented
50C2×#14273704C2211yescharacteristic
51C2×#14273703C2211yescharacteristic
52C2×#14273703C2211yescharacteristic
53C2×#14273703C2211yescharacteristic, complemented
54C2×#14273701C2211yescharacteristic
55C2×#14273698C2211yescharacteristic
56C2×#14273698C2211yescharacteristic
57C2×#14273698C2211yescharacteristic
58C2×#14273697C2211yescharacteristic
59C2×#14273695C2211yescharacteristic
60C2×#14273695C2211yescharacteristic
61C2×C4×C22⋊D59C2211yescharacteristic
62C2×C4×C22⋊D59C2211yescharacteristic
63C2×C4×C22⋊D59C2211yescharacteristic
64C2×C4×C22⋊D59C2211yescharacteristic
65C2×C4×C22⋊D59C2211yescharacteristic, complemented
66C2×#14273686C2211yescharacteristic
67#16837344C2211yescharacteristic, complemented
68#16837338C2211yescharacteristic
69#16837336C2211yescharacteristic, complemented
70#16837336C2211yescharacteristic, complemented
71#16837335C2211yescharacteristic, complemented
72#16837335C2211yescharacteristic, complemented
73#16837335C2211yescharacteristic, complemented
74#16837335C2211yescharacteristic, complemented
75#16837333C2211yescharacteristic, complemented
76#16837331C2211yescharacteristic
77#16837331C2211yescharacteristic, complemented
78#16837330C2211yescharacteristic
79#16837330C2211yescharacteristic, complemented
80#16837329C2211yescharacteristic
81#16837328C2211yescharacteristic
82#16837327C2211yescharacteristic, complemented
83#16837326C2211yescharacteristic
84#16837326C2211yescharacteristic, complemented
85#16837325C2211yescharacteristic
86#16837325C2211yescharacteristic, complemented
87#16837325C2211yescharacteristic, complemented
88#16837325C2211yescharacteristic, complemented
89#16837324C2211yescharacteristic
90#16837324C2211yescharacteristic
91#16837324C2211yescharacteristic
92#16837324C2211yescharacteristic, complemented
93#16837322C2211yescharacteristic, complemented
94#16837319C2211yescharacteristic
95#16837318C2211yescharacteristic
96#16837318C2211yescharacteristic
97#16837318C2211yescharacteristic
98#16837318C2211yescharacteristic, complemented
99#16837317C2211yescharacteristic
100#16837317C2211yescharacteristic
101#16837317C2211yescharacteristic
102#16837317C2211yescharacteristic, complemented
103#16837316C2211yescharacteristic
104#16837316C2211yescharacteristic, complemented
105#16837314C2211yescharacteristic, complemented
106#16837311C2211yescharacteristic
107#16837311C2211yescharacteristic
108#16837311C2211yescharacteristic
109#16837310C2211yescharacteristic
110#16837310C2211yescharacteristic, complemented
111#16837309C2211yescharacteristic, complemented
112#16837305C2211yescharacteristic
113#16837303C2211yescharacteristic
114#16837302C2211yescharacteristic
115#16837302C2211yescharacteristic
116#16837302C2211yescharacteristic
117#16837302C2211yescharacteristic
118#16837302C2211yescharacteristic
119#16837302C2211yescharacteristic, complemented
120#16837301C2211yescharacteristic, complemented
121#16837301C2211yescharacteristic, complemented
122#16837299C2211yescharacteristic, complemented
123#16837299C2211yescharacteristic, complemented
124#16837299C2211yescharacteristic, complemented
125#16837296C2211yescharacteristic, complemented
126#16837296C2211yescharacteristic, complemented
127#16837295C2211yescharacteristic
128#16837295C2211yescharacteristic
129#16837294C2211yescharacteristic
130#16837294C2211yescharacteristic
131#16837294C2211yescharacteristic
132#16837294C2211yescharacteristic, complemented
133#16837294C2211yescharacteristic, complemented
134#16837291C2211yescharacteristic
135#16837290C2211yescharacteristic
136#16837290C2211yescharacteristic, complemented
137#16837287C2211yescharacteristic, complemented
138#16837287C2211yescharacteristic, complemented
139#16837283C2211yescharacteristic, complemented
140#16837283C2211yescharacteristic, complemented
141#16837281C2211yescharacteristic
142#16837281C2211yescharacteristic
143#16837281C2211yescharacteristic
144#16837281C2211yescharacteristic, complemented
145#16837280C2211yescharacteristic
146#16837280C2211yescharacteristic
147#16837280C2211yescharacteristic
148#16837279C2211yescharacteristic
149#16837276C2211yescharacteristic
150#16837276C2211yescharacteristic
151#16837276C2211yescharacteristic, complemented
152#16837275C2211yescharacteristic
153#16837275C2211yescharacteristic, complemented
154#16837275C2211yescharacteristic, complemented
155#16837275C2211yescharacteristic, complemented
156#16837274C2211yescharacteristic
157#16837273C2211yescharacteristic
158#16837273C2211yescharacteristic
159#16837273C2211yescharacteristic
160#16837273C2211yescharacteristic
161#16837271C2211yescharacteristic, complemented
162#16837266C2211yescharacteristic, complemented
163#16837264C2211yescharacteristic
164#16837264C2211yescharacteristic
165#16837262C2211yescharacteristic, complemented
166#16837261C2211yescharacteristic
167#16837261C2211yescharacteristic
168#16837260C2211yescharacteristic
169#16837257C2211yescharacteristic
170#16837257C2211yescharacteristic
171#16837257C2211yescharacteristic
172#16837253C2211yescharacteristic, complemented
173#16837247C2211yescharacteristic, complemented
174C22×#41×C59C2211yescharacteristic
175C2×#123×C59C2211yescharacteristic
176C2×#123×C59C2211yescharacteristic, complemented
177C22×C4⋊C4×C59C2211yescharacteristic, complemented
178C59×#395C2211yescharacteristic, complemented
179C59×#395C2211yescharacteristic, complemented
180C59×#394C2211yescharacteristic
181C59×#394C2211yescharacteristic
182C59×#386C2211yescharacteristic
183C59×#386C2211yescharacteristic, complemented
184C59×#385C2211yescharacteristic
185C59×#385C2211yescharacteristic
186C59×#385C2211yescharacteristic, complemented
187C59×#385C2211yescharacteristic, complemented
188C59×#381C2211yescharacteristic, 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
200C23×Dic59C2311yescharacteristic
201C22×C4×D59—24no—
202C22×C4×D59—42no—
203C22×C4×D59—42no—
204C22×C4×D59C2311yescharacteristic
205C22×C4×D59C2311yescharacteristic
206C22×C4×D59C2311yescharacteristic
207C22×C4×D59C2311yescharacteristic
208C22×C4×D59C2311yescharacteristic
209#14273722—24no—
210#14273722—24no—
211#14273717—24no—
212#14273717—24no—
213#14273712—24no—
214#14273712—24no—
215#14273712—42no—
216#14273710—24no—
217#14273710—24no—
218#14273708—24no—
219#14273708—24no—
220#14273706—24no—
221#14273705—24no—
222#14273705—24no—
223#14273705—42no—
224#14273704—42no—
225#14273703—24no—
226#14273703—24no—
227#14273703—42no—
228#14273701—24no—
229#14273698—24no—
230#14273698—24no—
231#14273698—42no—
232#14273697—42no—
233#14273695—24no—
234#14273695—24no—
235C4×C22⋊D59—24no—
236C4×C22⋊D59—24no—
237C4×C22⋊D59—24no—
238C4×C22⋊D59—24no—
239C4×C22⋊D59D418yescomplemented
240#14273686—24no—
241C2×C4⋊Dic59C2311yescharacteristic
242C2×C4⋊Dic59C2311yescharacteristic
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×Dic59⋊C4C2311yescharacteristic
266C2×Dic59⋊C4C2311yescharacteristic
267C2×Dic59⋊C4C2311yescharacteristic
268C2×Dic59⋊C4C2311yescharacteristic
269C2×Dic59⋊C4C2311yescharacteristic
270C2×Dic59⋊C4C2311yescharacteristic
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×(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
308C2×(C2×D59)⋊C4C2311yescharacteristic
309C2×(C2×D59)⋊C4C2311yescharacteristic
310C2×(C2×D59)⋊C4C2311yescharacteristic
311C2×(C2×D59)⋊C4C2311yescharacteristic
312C2×(C2×D59)⋊C4C2311yescharacteristic
313C2×C4×Dic59C2311yescharacteristic
314C2×C4×Dic59C2311yescharacteristic
315C2×C4×Dic59C2311yescharacteristic
316C2×C4×Dic59C2311yescharacteristic
317C2×C4×Dic59C2311yescharacteristic
318C2×C4×Dic59C2311yescharacteristic
319C2×C4×Dic59C2311yescharacteristic
320C59⋊#95C2311yescharacteristic
321C59⋊#95C2311yescharacteristic
322C59⋊#95C2311yescharacteristic
323C59⋊#95C2311yescharacteristic
324C59⋊#95C2311yescharacteristic
325C59⋊#95C2311yescharacteristic
326C59⋊#95C2311yescharacteristic
327C59⋊#95C2311yescharacteristic
328C59⋊#95C2311yescharacteristic
329C59⋊#95C2311yescharacteristic
330C59⋊#95C2311yescharacteristic
331C59⋊#95C2311yescharacteristic
332C59⋊#95C2311yescharacteristic
333C59⋊#95C2311yescharacteristic
334C59⋊#95C2311yescharacteristic
335C59⋊#95C2311yescharacteristic
336C59⋊#95C2311yescharacteristic
337C59⋊#95C2311yescharacteristic
338C59⋊#95C2311yescharacteristic
339C59⋊#95C2311yescharacteristic
340C59⋊#95C2311yescharacteristic
341C59⋊#95C2311yescharacteristic
342C59⋊#95C2311yescharacteristic
343C59⋊#95C2311yescharacteristic
344C2×#41×C59—24no—
345C2×#41×C59—42no—
346C2×#41×C59—42no—
347C22×Q8×C59C2311yescharacteristic
348C22×D4×C59C2311yescharacteristic
349C22×D4×C59C2311yescharacteristic
350C22×D4×C59C2311yescharacteristic
351C23×C4×C59C2311yescharacteristic
352C23×C4×C59C2311yescharacteristic
353C23×C4×C59C2311yescharacteristic
354C23×C4×C59C2311yescharacteristic
355C23×C4×C59C2311yescharacteristic
356#123×C59—42no—
357#123×C59—42no—
358C2×C4⋊C4×C59—24no—
359C2×C4⋊C4×C59C2311yescharacteristic
360C2×C4⋊C4×C59C2311yescharacteristic
361C2×C4⋊C4×C59C2311yescharacteristic
362C2×C4⋊C4×C59C2311yescharacteristic
363C2×C4⋊C4×C59C2311yescharacteristic
364C2×C4⋊C4×C59C2311yescharacteristic
365C2×C4⋊C4×C59C2311yescharacteristic
366C2×C4⋊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×C22⋊C4×C59C2311yescharacteristic
374C2×C22⋊C4×C59C2311yescharacteristic
375C2×C22⋊C4×C59C2311yescharacteristic
376C2×C22⋊C4×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
387C24×C59C2411yescharacteristic
388C23×D59—22no—
389C23×D59—22no—
390C23×D59—22no—
391C23×D59—41no—
392C23×D59—41no—
393C23×D59—41no—
394C23×D59—41no—
395C23×D59C2411yescharacteristic
396C23×D59C2411yescharacteristic
397C23×D59C2411yescharacteristic
398#41×C59—416no—
399C2×Q8×C59—22no—
400C2×Q8×C59—22no—
401C2×Q8×C59—41no—
402C2×D4×C59—22no—
403C2×D4×C59—22no—
404C2×D4×C59—22no—
405C2×D4×C59—22no—
406C2×D4×C59—22no—
407C2×D4×C59—22no—
408C2×D4×C59—41no—
409C2×D4×C59—41no—
410C2×D4×C59—41no—
411C22×C4×C59—22no—
412C22×C4×C59—22no—
413C22×C4×C59—22no—
414C22×C4×C59—22no—
415C22×C4×C59—22no—
416C22×C4×C59—22no—
417C22×C4×C59—41no—
418C22×C4×C59—41no—
419C22×C4×C59—41no—
420C22×C4×C59—41no—
421C22×C4×C59—41no—
422C22×C4×C59—41no—
423C22×C4×C59—41no—
424C22×C4×C59—41no—
425C22×C4×C59C2×D414yes—
426C22×C4×C59C2411yescharacteristic
427C22×C4×C59C2411yescharacteristic
428C22×C4×C59C2411yescharacteristic
429C22×C4×C59C2411yescharacteristic
430C22×C4×C59C2411yescharacteristic
431C22×C4×C59C2411yescharacteristic
432C22×C4×C59C2411yescharacteristic
433C22×C4×C59C2411yescharacteristic
434C22×C4×C59C2411yescharacteristic
435C22×C4×C59C2411yescharacteristic
436C22×C4×C59C2411yescharacteristic
437C22×C4×C59C2411yescharacteristic
438C2×C22⋊D59—22no—
439C2×C22⋊D59—22no—
440C2×C22⋊D59—22no—
441C2×C22⋊D59—22no—
442C2×C22⋊D59—22no—
443C2×C22⋊D59—22no—
444C2×C22⋊D59—22no—
445C2×C22⋊D59—41no—
446C2×C22⋊D59—41no—
447C2×C22⋊D59—41no—
448C2×C22⋊D59—41no—
449C2×C22⋊D59—41no—
450C2×C22⋊D59—41no—
451C2×C22⋊D59—41no—
452C2×C22⋊D59—41no—
453C2×C22⋊D59—41no—
454C2×C22⋊D59—41no—
455C2×C22⋊D59—41no—
456C2×C22⋊D59—41no—
457C2×C22⋊D59—41no—
458C2×C22⋊D59C2×D414yes—
459C22×Dic59—22no—
460C22×Dic59—22no—
461C22×Dic59—41no—
462C22×Dic59C2411yescharacteristic
463C22×Dic59C2411yescharacteristic
464C22×Dic59C2411yescharacteristic
465C22×Dic59C2411yescharacteristic
466C22×Dic59C2411yescharacteristic
467C22×Dic59C2411yescharacteristic
468C22×Dic59C2411yescharacteristic
469C22×Dic59C2411yescharacteristic
470C22×Dic59C2411yescharacteristic
471C22×Dic59C2411yescharacteristic
472C22×Dic59C2411yescharacteristic
473C22×Dic59C2411yescharacteristic
474C22×Dic59C2411yescharacteristic
475C2×D236—22no—
476C2×D236—22no—
477C2×D236—41no—
478C2×D236—41no—
479C2×D236—41no—
480C2×D236—41no—
481C2×C4×D59—22no—
482C2×C4×D59—22no—
483C2×C4×D59—22no—
484C2×C4×D59—22no—
485C2×C4×D59—22no—
486C2×C4×D59—22no—
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×D59—416no—
494C2×C4×D59—41no—
495C2×C4×D59—41no—
496C2×C4×D59C2×D414yes—
497C2×Dic118—22no—
498C2×Dic118—41no—
499C2×Dic118—41no—
500C4⋊C4×C59—22no—
501C4⋊C4×C59—22no—
502C4⋊C4×C59—22no—
503C4⋊C4×C59—22no—
504C4⋊C4×C59—22no—
505C4⋊C4×C59—22no—
506C4⋊C4×C59—41no—
507C4⋊C4×C59—41no—
508C22⋊C4×C59—22no—
509C22⋊C4×C59—22no—
510C22⋊C4×C59—41no—
511C22⋊C4×C59—41no—
512C22⋊C4×C59—41no—
513C22⋊C4×C59—41no—
514C22⋊C4×C59—41no—
515C22⋊C4×C59—41no—
516C22⋊C4×C59—41no—
517C22⋊C4×C59—41no—
518C22⋊Dic59—22no—
519C22⋊Dic59—22no—
520C22⋊Dic59—22no—
521C22⋊Dic59—22no—
522C22⋊Dic59—22no—
523C22⋊Dic59—22no—
524C22⋊Dic59—22no—
525C22⋊Dic59—41no—
526C22⋊Dic59—41no—
527C22⋊Dic59—41no—
528C22⋊Dic59—41no—
529C22⋊Dic59—41no—
530C22⋊Dic59—41no—
531C22⋊Dic59—41no—
532C22⋊Dic59C2×D414yes—
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—41no—
546(C2×D59)⋊C4—41no—
547(C2×D59)⋊C4—41no—
548(C2×D59)⋊C4—41no—
549(C2×D59)⋊C4—41no—
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—
560C4⋊Dic59—22no—
561C4⋊Dic59—22no—
562C4⋊Dic59—22no—
563C4⋊Dic59—22no—
564C4⋊Dic59—41no—
565C4⋊Dic59—41no—
566C4⋊Dic59—41no—
567C4⋊Dic59—41no—
568C4⋊Dic59—41no—
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—22no—
580Dic59⋊C4—41no—
581Dic59⋊C4—41no—
582Dic59⋊C4—41no—
583Dic59⋊C4—41no—
584Dic59⋊C4—41no—
585Dic59⋊C4—41no—
586Dic59⋊C4—41no—
587Dic59⋊C4—41no—
588Dic59⋊C4—41no—
589Dic59⋊C4C2×D414yes—
590C4×Dic59—22no—
591C4×Dic59—22no—
592C4×Dic59—41no—
593C4×Dic59—41no—
594C4×Dic59—41no—
595C4×Dic59—41no—
596C4×Dic59C2×D414yes—
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×C59—21no—
609C23×C59—21no—
610C23×C59—21no—
611C23×C59—21no—
612C23×C59—21no—
613C23×C59—21no—
614C23×C59—21no—
615C23×C59—21no—
616C23×C59C22×D412yes—
617C23×C59H(5,𝔽2)12yes—
618C23×C59C2511yescharacteristic
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—21no—
636C22×D59—21no—
637C22×D59—21no—
638C22×D59—44no—
639C22×D59—44no—
640C22×D59—44no—
641C22×D59—44no—
642C22×D59—44no—
643C22×D59—44no—
644C22×D59—44no—
645C22×D59C22×D412yes—
646C22×D592−1+412yes—
647Q8×C59—44no—
648D4×C59—44no—
649D4×C59—44no—
650D4×C59—44no—
651C2×C4×C59—28no—
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—21no—
683C2×C4×C59—21no—
684C2×C4×C59—21no—
685C2×C4×C59—44no—
686C2×C4×C59—44no—
687C2×C4×C59—44no—
688C2×C4×C59—82no—
689C2×C4×C59C22×D412yes—
690C2×C4×C59C22×D412yes—
691C2×C4×C59H(5,𝔽2)12yes—
692C22⋊D59—44no—
693C22⋊D59—44no—
694C22⋊D59—44no—
695C22⋊D59—44no—
696C22⋊D59—44no—
697C22⋊D59—82no—
698C22⋊D59—82no—
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—21no—
724C2×Dic59—21no—
725C2×Dic59—21no—
726C2×Dic59—21no—
727C2×Dic59—21no—
728C2×Dic59—21no—
729C2×Dic59—21no—
730C2×Dic59—21no—
731C2×Dic59—21no—
732C2×Dic59—21no—
733C2×Dic59—21no—
734C2×Dic59—21no—
735C2×Dic59—44no—
736C2×Dic59C22×D412yes—
737C2×Dic59C22×D412yes—
738C2×Dic59C22×D412yes—
739D236—82no—
740D236—82no—
741C4×D59—44no—
742C4×D59—44no—
743C4×D59—44no—
744C4×D59—44no—
745C4×D59—82no—
746Dic118—82no—
747#36723—591nomaximal, Sylow
748C22×C59—22no—
749C22×C59—22no—
750C22×C59—22no—
751C22×C59—22no—
752C22×C59—22no—
753C22×C59—22no—
754C22×C59—41no—
755C22×C59—41no—
756C22×C59—41no—
757C22×C59—41no—
758C22×C59—41no—
759C22×C59—41no—
760C22×C59—41no—
761C22×C59—41no—
762C22×C59—41no—
763C22×C59—41no—
764C22×C59—41no—
765C22×C59—41no—
766C22×C59—41no—
767C22×C59—41no—
768C22×C59—41no—
769C22×C59C23×D411yescharacteristic
770C22×C59C2×H(5,𝔽2)11yescharacteristic
771C22×C59C2×H(5,𝔽2)11yescharacteristic
772C22×C59C2×2−1+411yescharacteristic
773C22×C59#58511yescharacteristic
774C22×C59#58511yescharacteristic
775C22×C59#58511yescharacteristic
776C2×D59—22no—
777C2×D59—22no—
778C2×D59—22no—
779C2×D59—22no—
780C2×D59—22no—
781C2×D59—22no—
782C2×D59—416no—
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—41no—
795C2×D59—41no—
796C2×D59—41no—
797C2×D59—41no—
798C4×C59—22no—
799C4×C59—22no—
800C4×C59—22no—
801C4×C59—41no—
802C4×C59—41no—
803C4×C59—41no—
804C4×C59—41no—
805C4×C59—41no—
806C4×C59—41no—
807C4×C59—41no—
808C4×C59—41no—
809C4×C59—41no—
810Dic59—22no—
811Dic59—22no—
812Dic59—22no—
813Dic59—41no—
814Dic59—41no—
815Dic59—41no—
816Dic59—41no—
817Dic59—41no—
818Dic59—41no—
819Dic59—41no—
820Dic59—41no—
821Dic59—41no—
822Dic59—41no—
823C2×#539—591no—
824C2×#525—591no—
825#2849—591no—
826#2848—591no—
827#2707—591no—
828#2706—591no—
829#2704—591no—
830#2703—591no—
831#2701—591no—
832#2698—591no—
833#2697—591no—
834#2685—591no—
835#2683—591no—
836#2682—591no—
837#2681—591no—
838#2681—591no—
839#2680—591no—
840#2680—591no—
841#2678—591no—
842#2678—591no—
843#2638—591no—
844#2630—591no—
845#2611—591no—
846#2603—591no—
847#2601—591no—
848#2600—591no—
849#2579—591no—
850#2566—591no—
851#2407—591no—
852#2406D5911yescharacteristic, complemented
853#2319—591no—
854C2×C59—42no—
855C2×C59—42no—
856C2×C59—81no—
857C2×C59#344911yescharacteristic
858C2×C59#348411yescharacteristic
859C2×C59#348911yescharacteristic
860C2×C59#353311yescharacteristic
861C2×C59#353511yescharacteristic
862C2×C59#353911yescharacteristic
863C2×C59#354111yescharacteristic
864D59—42no—
865D59—42no—
866D59—81no—
867C22×#41C2×D5911yescharacteristic
868C24×C4—591no—
869#539—1188no—
870C2×#126—591no—
871C2×#126—591no—
872C2×#125—591no—
873C2×#125—591no—
874#525—1188no—
875C2×#123—591no—
876C2×#123—591no—
877C2×#123—591no—
878C2×#123—591no—
879C2×#123—591no—
880C2×#123—591no—
881C2×#123—591no—
882C2×#123C2×D5911yescharacteristic
883C2×#123C2×D5911yescharacteristic, complemented
884C2×C22⋊Q8—591no—
885C2×C22⋊Q8—591no—
886C2×C22⋊Q8—591no—
887C2×C22⋊Q8—591no—
888C2×C22⋊Q8—591no—
889C2×C22⋊Q8—591no—
890C2×C22⋊Q8—591no—
891C2×C22⋊Q8—591no—
892C2×#121—591no—
893C2×#121—591no—
894C2×#121—591no—
895C2×#121—591no—
896C2×#120—591no—
897C2×#120—591no—
898C2×#120—591no—
899C2×C4×D4—591no—
900C2×C4×D4—591no—
901C2×C4×D4—591no—
902C2×C4×D4—591no—
903C2×C4×D4—591no—
904C2×#117—591no—
905C22×C4⋊C4C2×D5911yescharacteristic, complemented
906#400—591no—
907#399—591no—
908#398—591no—
909#398—591no—
910#398—591no—
911#398—591no—
912#398—591no—
913#398—591no—
914#398—591no—
915#397—591no—
916#397—591no—
917#397—591no—
918#397—591no—
919#397—591no—
920#397—591no—
921#397—591no—
922#396—591no—
923#396—591no—
924#396—591no—
925#396—591no—
926#396—591no—
927#396—591no—
928#396—591no—
929#396—591no—
930#396—591no—
931#396—591no—
932#395—591no—
933#395C2×D5911yescharacteristic, complemented
934#395C2×D5911yescharacteristic, complemented
935#394—591no—
936#394—591no—
937#394—591no—
938#394—591no—
939#394—591no—
940#394—591no—
941#394—591no—
942#394—591no—
943#394—591no—
944#394—591no—
945#394—591no—
946#394C2×D5911yescharacteristic
947#394C2×D5911yescharacteristic
948#393—591no—
949#392—591no—
950#392—591no—
951#392—591no—
952#392—591no—
953#392—591no—
954#391—591no—
955#390—591no—
956#390—591no—
957#390—591no—
958#390—591no—
959#390—591no—
960#390—591no—
961#390—591no—
962#390—591no—
963#389—591no—
964#389—591no—
965#389—591no—
966#389—591no—
967#389—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#387—591no—
981#387—591no—
982#387—591no—
983#387—591no—
984#386—591no—
985#386—591no—
986#386—591no—
987#386—591no—
988#386—591no—
989#386—591no—
990#386—591no—
991#386—591no—
992#386C2×D5911yescharacteristic
993#386C2×D5911yescharacteristic, complemented
994#385—591no—
995#385—591no—
996#385—591no—
997#385—591no—
998#385—591no—
999#385—591no—
1000#385—591no—
1001#385—591no—
1002#385—591no—
1003#385—591no—
1004#385—591no—
1005#385—591no—
1006#385C2×D5911yescharacteristic
1007#385C2×D5911yescharacteristic
1008#385C2×D5911yescharacteristic, complemented
1009#385C2×D5911yescharacteristic, complemented
1010#384—591no—
1011#382—591no—
1012#381—591no—
1013#381—591no—
1014#381C2×D5911yescharacteristic, complemented
1015#380—591no—
1016#380—591no—
1017#380—591no—
1018#380—591no—
1019#379—591no—
1020#379—591no—
1021#379—591no—
1022C4×C4⋊C4—591no—
1023#376—591no—
1024C59#3672311yescharacteristic, complemented, Sylow
1025C25—591no—
1026C2×#41—24no—
1027C2×#41—42no—
1028C2×#41—42no—
1029C22×Q8—591no—
1030C22×Q8C22×D5911yescharacteristic
1031C22×D4—591no—
1032C22×D4—591no—
1033C22×D4—591no—
1034C22×D4—591no—
1035C22×D4—591no—
1036C22×D4—591no—
1037C22×D4—591no—
1038C22×D4—591no—
1039C22×D4—591no—
1040C22×D4C22×D5911yescharacteristic
1041C22×D4C22×D5911yescharacteristic
1042C22×D4C22×D5911yescharacteristic
1043C23×C4—591no—
1044C23×C4—591no—
1045C23×C4—591no—
1046C23×C4—591no—
1047C23×C4—591no—
1048C23×C4—591no—
1049C23×C4—1184no—
1050C23×C4—2362no—
1051C23×C4—2362no—
1052C23×C4C22×D5911yescharacteristic
1053C23×C4C22×D5911yescharacteristic
1054C23×C4C22×D5911yescharacteristic
1055C23×C4C22×D5911yescharacteristic
1056C23×C4C22×D5911yescharacteristic
1057#126—1184no—
1058#126—1184no—
1059#125—1184no—
1060#125—1184no—
1061#123—42no—
1062#123—42no—
1063#123—1184no—
1064#123—1184no—
1065#123—1184no—
1066#123—1184no—
1067#123—1184no—
1068#123—1184no—
1069#123—2362no—
1070C22⋊Q8—1184no—
1071C22⋊Q8—1184no—
1072C22⋊Q8—1184no—
1073C22⋊Q8—1184no—
1074C22⋊Q8—1184no—
1075C22⋊Q8—2362no—
1076C22⋊Q8—2362no—
1077C22⋊Q8—2362no—
1078#121—1184no—
1079#121—1184no—
1080#121—1184no—
1081#121—2362no—
1082#120—1184no—
1083#120—1184no—
1084#120—2362no—
1085C4×D4—598no—
1086C4×D4—1184no—
1087C4×D4—1184no—
1088C4×D4—1184no—
1089C4×D4—1184no—
1090#117—1184no—
1091C2×C4⋊C4—24no—
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—591no—
1106C2×C4⋊C4—591no—
1107C2×C4⋊C4—591no—
1108C2×C4⋊C4—591no—
1109C2×C4⋊C4—591no—
1110C2×C4⋊C4—591no—
1111C2×C4⋊C4—591no—
1112C2×C4⋊C4—591no—
1113C2×C4⋊C4—591no—
1114C2×C4⋊C4—591no—
1115C2×C4⋊C4—591no—
1116C2×C4⋊C4—591no—
1117C2×C4⋊C4—591no—
1118C2×C4⋊C4—591no—
1119C2×C4⋊C4—591no—
1120C2×C4⋊C4—591no—
1121C2×C4⋊C4—591no—
1122C2×C4⋊C4C22×D5911yescharacteristic
1123C2×C4⋊C4C22×D5911yescharacteristic
1124C2×C4⋊C4C22×D5911yescharacteristic
1125C2×C4⋊C4C22×D5911yescharacteristic
1126C2×C4⋊C4C22×D5911yescharacteristic
1127C2×C4⋊C4C22×D5911yescharacteristic
1128C2×C4⋊C4C22×D5911yescharacteristic
1129C2×C4⋊C4C22×D5911yescharacteristic
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—591no—
1157C2×C22⋊C4—591no—
1158C2×C22⋊C4—591no—
1159C2×C22⋊C4—591no—
1160C2×C22⋊C4—591no—
1161C2×C22⋊C4—591no—
1162C2×C22⋊C4—591no—
1163C2×C22⋊C4—591no—
1164C2×C22⋊C4—591no—
1165C2×C22⋊C4—591no—
1166C2×C22⋊C4—591no—
1167C2×C22⋊C4—591no—
1168C2×C22⋊C4—591no—
1169C2×C22⋊C4—591no—
1170C2×C22⋊C4—591no—
1171C2×C22⋊C4—591no—
1172C2×C22⋊C4C22×D5911yescharacteristic
1173C2×C22⋊C4C22×D5911yescharacteristic
1174C2×C22⋊C4C22×D5911yescharacteristic
1175C2×C22⋊C4C22×D5911yescharacteristic
1176C2×C22⋊C4C22×D5911yescharacteristic
1177C2×C22⋊C4C22×D5911yescharacteristic
1178C2×C22⋊C4C22×D5911yescharacteristic
1179C2×C22⋊C4C22×D5911yescharacteristic
1180C2×C22⋊C4C22×D5911yescharacteristic
1181C2×C22⋊C4C22×D5911yescharacteristic
1182C2×C42—591no—
1183C2×C42—591no—
1184C2×C42—591no—
1185C2×C42—591no—
1186C2×C42—591no—
1187C2×C42—591no—
1188C2×C42—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#95—591no—
1210#95—591no—
1211#95—591no—
1212#95—591no—
1213#95C22×D5911yescharacteristic
1214#95C22×D5911yescharacteristic
1215#95C22×D5911yescharacteristic
1216#95C22×D5911yescharacteristic
1217#95C22×D5911yescharacteristic
1218#95C22×D5911yescharacteristic
1219#95C22×D5911yescharacteristic
1220#95C22×D5911yescharacteristic
1221C24—591no—
1222C24—591no—
1223C24—591no—
1224C24—1182no—
1225C24—1182no—
1226C24—1182no—
1227C24—2361no—
1228C24—2361no—
1229C24—2361no—
1230C24—2361no—
1231C24C23×D5911yescharacteristic
1232C24C23×D5911yescharacteristic
1233C24C23×D5911yescharacteristic
1234#41—416no—
1235C2×Q8—22no—
1236C2×Q8—22no—
1237C2×Q8—41no—
1238C2×Q8—1182no—
1239C2×Q8—2361no—
1240C2×Q8—2361no—
1241C2×D4—22no—
1242C2×D4—22no—
1243C2×D4—22no—
1244C2×D4—22no—
1245C2×D4—22no—
1246C2×D4—22no—
1247C2×D4—41no—
1248C2×D4—41no—
1249C2×D4—41no—
1250C2×D4—594no—
1251C2×D4—1182no—
1252C2×D4—1182no—
1253C2×D4—1182no—
1254C2×D4—1182no—
1255C2×D4—1182no—
1256C2×D4—1182no—
1257C2×D4—1182no—
1258C2×D4—1182no—
1259C2×D4—1182no—
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—
1274C2×D4—2361no—
1275C2×D4—2361no—
1276C2×D4—2361no—
1277C22×C4—22no—
1278C22×C4—22no—
1279C22×C4—22no—
1280C22×C4—22no—
1281C22×C4—22no—
1282C22×C4—22no—
1283C22×C4—41no—
1284C22×C4—41no—
1285C22×C4—41no—
1286C22×C4—41no—
1287C22×C4—41no—
1288C22×C4—41no—
1289C22×C4—41no—
1290C22×C4—41no—
1291C22×C4—591no—
1292C22×C4—591no—
1293C22×C4—591no—
1294C22×C4—594no—
1295C22×C4—591no—
1296C22×C4—591no—
1297C22×C4—591no—
1298C22×C4—591no—
1299C22×C4—591no—
1300C22×C4—591no—
1301C22×C4—591no—
1302C22×C4—591no—
1303C22×C4—591no—
1304C22×C4—591no—
1305C22×C4—1182no—
1306C22×C4—1182no—
1307C22×C4—1182no—
1308C22×C4—1182no—
1309C22×C4—1182no—
1310C22×C4—1182no—
1311C22×C4—1182no—
1312C22×C4—1182no—
1313C22×C4—2361no—
1314C22×C4—2361no—
1315C22×C4—2361no—
1316C22×C4—2361no—
1317C22×C4—2361no—
1318C22×C4—2361no—
1319C22×C4—2361no—
1320C22×C4—2361no—
1321C22×C4—23616no—
1322C22×C4—2361no—
1323C22×C4D4×D5914yes—
1324C22×C4C23×D5911yescharacteristic
1325C22×C4C23×D5911yescharacteristic
1326C22×C4C23×D5911yescharacteristic
1327C22×C4C23×D5911yescharacteristic
1328C22×C4C23×D5911yescharacteristic
1329C22×C4C23×D5911yescharacteristic
1330C22×C4C23×D5911yescharacteristic
1331C22×C4C23×D5911yescharacteristic
1332C22×C4C23×D5911yescharacteristic
1333C22×C4C23×D5911yescharacteristic
1334C22×C4C23×D5911yescharacteristic
1335C22×C4C23×D5911yescharacteristic
1336C4⋊C4—22no—
1337C4⋊C4—22no—
1338C4⋊C4—22no—
1339C4⋊C4—22no—
1340C4⋊C4—22no—
1341C4⋊C4—22no—
1342C4⋊C4—41no—
1343C4⋊C4—41no—
1344C4⋊C4—594no—
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—1182no—
1359C4⋊C4—1182no—
1360C4⋊C4—2361no—
1361C4⋊C4—2361no—
1362C4⋊C4—2361no—
1363C4⋊C4—2361no—
1364C4⋊C4—2361no—
1365C4⋊C4—2361no—
1366C4⋊C4—2361no—
1367C4⋊C4—2361no—
1368C4⋊C4—2361no—
1369C4⋊C4—2361no—
1370C4⋊C4—2361no—
1371C4⋊C4—2361no—
1372C4⋊C4—2361no—
1373C4⋊C4—2361no—
1374C22⋊C4—22no—
1375C22⋊C4—22no—
1376C22⋊C4—41no—
1377C22⋊C4—41no—
1378C22⋊C4—41no—
1379C22⋊C4—41no—
1380C22⋊C4—41no—
1381C22⋊C4—41no—
1382C22⋊C4—41no—
1383C22⋊C4—41no—
1384C22⋊C4—594no—
1385C22⋊C4—594no—
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—1182no—
1405C22⋊C4—2361no—
1406C22⋊C4—2361no—
1407C22⋊C4—2361no—
1408C22⋊C4—2361no—
1409C22⋊C4—2361no—
1410C22⋊C4—2361no—
1411C22⋊C4—2361no—
1412C22⋊C4—2361no—
1413C22⋊C4—2361no—
1414C22⋊C4—2361no—
1415C22⋊C4—2361no—
1416C22⋊C4—2361no—
1417C22⋊C4—2361no—
1418C22⋊C4—2361no—
1419C22⋊C4—2361no—
1420C22⋊C4—2361no—
1421C22⋊C4—2361no—
1422C22⋊C4—2361no—
1423C22⋊C4—2361no—
1424C22⋊C4—2361no—
1425C22⋊C4—2361no—
1426C42—594no—
1427C42—1182no—
1428C42—1182no—
1429C42—2361no—
1430C42—2361no—
1431C42—2361no—
1432C42—2361no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—592no—
1453C23—592no—
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—1181no—
1471C23—1181no—
1472C23—1181no—
1473C23—2364no—
1474C23—2364no—
1475C23—2364no—
1476C23—2364no—
1477C23—2364no—
1478C23—2364no—
1479C23—2364no—
1480C23C2×D4×D5912yes—
1481C23#1427377212yes—
1482C23C24×D5911yescharacteristic
1483Q8—44no—
1484Q8—4722no—
1485D4—44no—
1486D4—44no—
1487D4—44no—
1488D4—4722no—
1489D4—4722no—
1490D4—4722no—
1491D4—4722no—
1492D4—2364no—
1493D4—2364no—
1494D4—2364no—
1495D4—2364no—
1496D4—2364no—
1497C2×C4—28no—
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—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—44no—
1532C2×C4—44no—
1533C2×C4—44no—
1534C2×C4—82no—
1535C2×C4—592no—
1536C2×C4—592no—
1537C2×C4—592no—
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—1181no—
1566C2×C4—1181no—
1567C2×C4—1181no—
1568C2×C4—1181no—
1569C2×C4—1181no—
1570C2×C4—1181no—
1571C2×C4—1181no—
1572C2×C4—1181no—
1573C2×C4—1181no—
1574C2×C4—4722no—
1575C2×C4—2364no—
1576C2×C4—2364no—
1577C2×C4—2364no—
1578C2×C4—2364no—
1579C2×C4—2364no—
1580C2×C4C2×D4×D5912yes—
1581C2×C4C2×D4×D5912yes—
1582C2×C4#1427377212yes—
1583C22—22no—
1584C22—22no—
1585C22—22no—
1586C22—22no—
1587C22—22no—
1588C22—22no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—1182no—
1605C22—1182no—
1606C22—1182no—
1607C22—1182no—
1608C22—1182no—
1609C22—1182no—
1610C22—23616no—
1611C22—2361no—
1612C22—2361no—
1613C22—2361no—
1614C22—2361no—
1615C22—2361no—
1616C22—2361no—
1617C22—2361no—
1618C22—2361no—
1619C22—2361no—
1620C22—2361no—
1621C22—2361no—
1622C22—2361no—
1623C22—2361no—
1624C22—2361no—
1625C22—2361no—
1626C22C22×D4×D5911yescharacteristic
1627C22C2×#1427377211yescharacteristic
1628C22C2×#1427377211yescharacteristic
1629C222−1+4×D5911yescharacteristic
1630C22#1683823811yescharacteristic
1631C22#1683823811yescharacteristic
1632C22#1683823911yescharacteristic
1633C4—22no—
1634C4—22no—
1635C4—22no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—1182no—
1646C4—1182no—
1647C4—1182no—
1648C4—2361no—
1649C4—2361no—
1650C4—2361no—
1651C4—2361no—
1652C4—2361no—
1653C4—2361no—
1654C4—2361no—
1655C4—2361no—
1656C4—2361no—
1657C4—2361no—
1658C2—42no—
1659C2—42no—
1660C2—81no—
1661C2—4721no—
1662C2—2362no—
1663C2—2362no—
1664C2#2143742611yescharacteristic
1665C2#2143772511yescharacteristic
1666C2#2143777411yescharacteristic
1667C2#2143826611yescharacteristic
1668C2#2143829711yescharacteristic
1669C2#2143835111yescharacteristic
1670C2#2143837911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2406C2
hypercenter#2406D59
hypocenterC59#36723
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2406

Complements

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

NH ≅ G/Ntype
1. C2×#16837999C2semidirect
2. C2×#16837909C2semidirect
3. #21432391C2semidirect
4. #21432382C2semidirect
5. #21430806C2semidirect
6. #21430787C2semidirect
7. #21430761C2semidirect
8. #21430742C2semidirect
9. #21430712C2semidirect
10. #21430677C2semidirect
11. #21430660C2semidirect
12. #21430492C2semidirect
13. #21430470C2semidirect
14. #21430461C2semidirect
15. #21430450C2semidirect
16. #21430448C2semidirect
17. #21430440C2semidirect
18. #21430433C2semidirect
19. #21430428C2semidirect
20. #21430415C2semidirect
21. #21430017C2semidirect
22. #21429941C2semidirect
23. #21429790C2semidirect
24. #21429722C2semidirect
25. #21429697C2semidirect
26. #21429683C2semidirect
27. #21429443C2semidirect
28. #21429294C2semidirect
29. #21427435C2semidirect
30. #21426736C2semidirect
31. C59×#2406C2semidirect
35. C2×#14273722C22semidirect
36. C2×#14273717C22semidirect
37. C2×#14273717C22semidirect
43. C2×#14273710C22semidirect
46. C2×#14273706C22semidirect
49. C2×#14273705C22semidirect
53. C2×#14273703C22semidirect
65. C2×C4×C22⋊D59C22semidirect
67. #16837344C22semidirect
69. #16837336C22semidirect
70. #16837336C22semidirect
71. #16837335C22semidirect
72. #16837335C22semidirect
73. #16837335C22semidirect
74. #16837335C22semidirect
75. #16837333C22semidirect
77. #16837331C22semidirect
79. #16837330C22semidirect
82. #16837327C22semidirect
84. #16837326C22semidirect
86. #16837325C22semidirect
87. #16837325C22semidirect
88. #16837325C22semidirect
92. #16837324C22semidirect
93. #16837322C22semidirect
98. #16837318C22semidirect
102. #16837317C22semidirect
104. #16837316C22semidirect
105. #16837314C22semidirect
110. #16837310C22semidirect
111. #16837309C22semidirect
119. #16837302C22semidirect
120. #16837301C22semidirect
121. #16837301C22semidirect
122. #16837299C22semidirect
123. #16837299C22semidirect
124. #16837299C22semidirect
125. #16837296C22semidirect
126. #16837296C22semidirect
132. #16837294C22semidirect
133. #16837294C22semidirect
136. #16837290C22semidirect
137. #16837287C22semidirect
138. #16837287C22semidirect
139. #16837283C22semidirect
140. #16837283C22semidirect
144. #16837281C22semidirect
151. #16837276C22semidirect
153. #16837275C22semidirect
154. #16837275C22semidirect
155. #16837275C22semidirect
161. #16837271C22semidirect
162. #16837266C22semidirect
165. #16837262C22semidirect
172. #16837253C22semidirect
173. #16837247C22semidirect
176. C2×#123×C59C22semidirect
177. C22×C4⋊C4×C59C22semidirect
178. C59×#395C22semidirect
179. C59×#395C22semidirect
183. C59×#386C22semidirect
186. C59×#385C22semidirect
187. C59×#385C22semidirect
188. C59×#381C22semidirect
239. C4×C22⋊D59D4semidirect
852. #2406D59semidirect
883. C2×#123C2×D59semidirect
905. C22×C4⋊C4C2×D59semidirect
933. #395C2×D59semidirect
934. #395C2×D59semidirect
993. #386C2×D59semidirect
1008. #385C2×D59semidirect
1009. #385C2×D59semidirect
1014. #381C2×D59semidirect
1024. C59#36723semidirect

Maximal subgroups

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

subgroupindex
C2×#168379992
C2×#168379092
#214323912
#214323822
#214308062
#214307872
#214307612
#214307422
#214307122
#214306772
#214306602
#214304922
#214304702
#214304612
#214304502
#214304482
#214304402
#214304332
#214304282
#214304152
#214300172
#214299412
#214297902
#214297222
#214296972
#214296832
#214294432
#214292942
#214274352
#214267362
C59×#24062
#3672359