Finite Group Databasebeta

← #28795742

Subgroups — #28795742

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×#16837997C211yesmaximal, characteristic, complemented
2C2×#16837912C211yesmaximal, characteristic, complemented
3#21432385C211yesmaximal, characteristic, complemented
4#21432382C211yesmaximal, characteristic, complemented
5#21430792C211yesmaximal, characteristic, complemented
6#21430789C211yesmaximal, characteristic, complemented
7#21430749C211yesmaximal, characteristic, complemented
8#21430746C211yesmaximal, characteristic, complemented
9#21430705C211yesmaximal, characteristic, complemented
10#21430674C211yesmaximal, characteristic, complemented
11#21430658C211yesmaximal, characteristic, complemented
12#21430489C211yesmaximal, characteristic, complemented
13#21430465C211yesmaximal, characteristic, complemented
14#21430448C211yesmaximal, characteristic, complemented
15#21430445C211yesmaximal, characteristic, complemented
16#21430438C211yesmaximal, characteristic, complemented
17#21430433C211yesmaximal, characteristic, complemented
18#21430424C211yesmaximal, characteristic, complemented
19#21430423C211yesmaximal, characteristic, complemented
20#21430012C211yesmaximal, characteristic, complemented
21#21429932C211yesmaximal, characteristic, complemented
22#21429793C211yesmaximal, characteristic, complemented
23#21429719C211yesmaximal, characteristic, complemented
24#21429696C211yesmaximal, characteristic, complemented
25#21429679C211yesmaximal, characteristic, complemented
26#21429448C211yesmaximal, characteristic, complemented
27#21429291C211yesmaximal, characteristic, complemented
28#21427434C211yesmaximal, characteristic, complemented
29#21427428C211yesmaximal, characteristic, complemented
30#21426733C211yesmaximal, characteristic, complemented
31C59×#2682C211yesmaximal, characteristic, complemented
32C22×#11745687C2211yescharacteristic
33C23×C4×D59C2211yescharacteristic
34#16837997—28no—
35C2×#14273720C2211yescharacteristic
36C2×#14273720C2211yescharacteristic, complemented
37C2×#14273717C2211yescharacteristic, complemented
38C2×#14273717C2211yescharacteristic, complemented
39#16837912—28no—
40C2×#14273710C2211yescharacteristic
41C2×#14273709C2211yescharacteristic
42C2×#14273709C2211yescharacteristic
43C2×#14273708C2211yescharacteristic
44C2×#14273708C2211yescharacteristic
45C2×#14273708C2211yescharacteristic
46C2×#14273708C2211yescharacteristic, complemented
47C2×#14273707C2211yescharacteristic
48C2×#14273706C2211yescharacteristic
49C2×#14273706C2211yescharacteristic, complemented
50C2×#14273705C2211yescharacteristic
51C2×#14273705C2211yescharacteristic
52C2×#14273704C2211yescharacteristic
53C2×#14273704C2211yescharacteristic, complemented
54C2×#14273704C2211yescharacteristic, complemented
55C2×#14273699C2211yescharacteristic
56C2×#14273698C2211yescharacteristic
57C2×#14273695C2211yescharacteristic
58C2×#14273695C2211yescharacteristic
59C2×#14273695C2211yescharacteristic
60C2×D4×Dic59C2211yescharacteristic
61C2×D4×Dic59C2211yescharacteristic
62C2×D4×Dic59C2211yescharacteristic, complemented
63C2×(C22⋊D59)⋊C4C2211yescharacteristic
64C2×(C22⋊D59)⋊C4C2211yescharacteristic
65C2×#14273685C2211yescharacteristic
66C22×Dic59⋊C4C2211yescharacteristic, complemented
67#16837344C2211yescharacteristic, complemented
68#16837337C2211yescharacteristic
69#16837336C2211yescharacteristic, complemented
70#16837335C2211yescharacteristic, complemented
71#16837335C2211yescharacteristic, complemented
72#16837335C2211yescharacteristic, complemented
73#16837335C2211yescharacteristic, complemented
74#16837333C2211yescharacteristic, complemented
75#16837333C2211yescharacteristic, complemented
76#16837331C2211yescharacteristic
77#16837330C2211yescharacteristic
78#16837330C2211yescharacteristic, complemented
79#16837330C2211yescharacteristic, complemented
80#16837330C2211yescharacteristic, complemented
81#16837327C2211yescharacteristic
82#16837327C2211yescharacteristic
83#16837326C2211yescharacteristic
84#16837326C2211yescharacteristic
85#16837325C2211yescharacteristic, complemented
86#16837325C2211yescharacteristic, complemented
87#16837325C2211yescharacteristic, complemented
88#16837324C2211yescharacteristic
89#16837324C2211yescharacteristic
90#16837324C2211yescharacteristic
91#16837323C2211yescharacteristic, complemented
92#16837322C2211yescharacteristic, complemented
93#16837322C2211yescharacteristic, complemented
94#16837318C2211yescharacteristic
95#16837318C2211yescharacteristic
96#16837318C2211yescharacteristic
97#16837318C2211yescharacteristic
98#16837317C2211yescharacteristic
99#16837317C2211yescharacteristic
100#16837316C2211yescharacteristic
101#16837316C2211yescharacteristic
102#16837316C2211yescharacteristic
103#16837316C2211yescharacteristic, complemented
104#16837316C2211yescharacteristic, complemented
105#16837314C2211yescharacteristic, complemented
106#16837310C2211yescharacteristic
107#16837310C2211yescharacteristic
108#16837310C2211yescharacteristic
109#16837306C2211yescharacteristic, complemented
110#16837305C2211yescharacteristic
111#16837302C2211yescharacteristic
112#16837302C2211yescharacteristic
113#16837302C2211yescharacteristic
114#16837302C2211yescharacteristic
115#16837302C2211yescharacteristic
116#16837301C2211yescharacteristic, complemented
117#16837300C2211yescharacteristic, complemented
118#16837298C2211yescharacteristic, complemented
119#16837297C2211yescharacteristic, complemented
120#16837296C2211yescharacteristic
121#16837296C2211yescharacteristic, complemented
122#16837296C2211yescharacteristic, complemented
123#16837295C2211yescharacteristic, complemented
124#16837295C2211yescharacteristic, complemented
125#16837294C2211yescharacteristic
126#16837293C2211yescharacteristic
127#16837293C2211yescharacteristic
128#16837292C2211yescharacteristic
129#16837292C2211yescharacteristic
130#16837290C2211yescharacteristic
131#16837290C2211yescharacteristic, complemented
132#16837288C2211yescharacteristic, complemented
133#16837285C2211yescharacteristic, complemented
134#16837284C2211yescharacteristic, complemented
135#16837284C2211yescharacteristic, complemented
136#16837282C2211yescharacteristic, complemented
137#16837282C2211yescharacteristic, complemented
138#16837281C2211yescharacteristic
139#16837279C2211yescharacteristic
140#16837279C2211yescharacteristic
141#16837279C2211yescharacteristic
142#16837278C2211yescharacteristic
143#16837278C2211yescharacteristic
144#16837278C2211yescharacteristic
145#16837278C2211yescharacteristic
146#16837277C2211yescharacteristic, complemented
147#16837276C2211yescharacteristic
148#16837276C2211yescharacteristic
149#16837275C2211yescharacteristic
150#16837274C2211yescharacteristic, complemented
151#16837274C2211yescharacteristic, complemented
152#16837274C2211yescharacteristic, complemented
153#16837274C2211yescharacteristic, complemented
154#16837273C2211yescharacteristic
155#16837273C2211yescharacteristic
156#16837273C2211yescharacteristic
157#16837273C2211yescharacteristic
158#16837273C2211yescharacteristic
159#16837273C2211yescharacteristic
160#16837271C2211yescharacteristic, complemented
161#16837266C2211yescharacteristic, complemented
162#16837265C2211yescharacteristic
163#16837263C2211yescharacteristic
164#16837263C2211yescharacteristic, complemented
165#16837261C2211yescharacteristic
166#16837261C2211yescharacteristic
167#16837260C2211yescharacteristic
168#16837260C2211yescharacteristic, complemented
169#16837257C2211yescharacteristic
170#16837257C2211yescharacteristic
171#16837257C2211yescharacteristic
172C4⋊C4×Dic59C2211yescharacteristic, complemented
173#16837248C2211yescharacteristic, complemented
174C2×#123×C59C2211yescharacteristic
175C2×#123×C59C2211yescharacteristic, complemented
176C2×#121×C59C2211yescharacteristic
177C2×#121×C59C2211yescharacteristic
178C59×#396C2211yescharacteristic, complemented
179C59×#396C2211yescharacteristic, complemented
180C59×#394C2211yescharacteristic
181C59×#394C2211yescharacteristic, complemented
182C59×#392C2211yescharacteristic
183C59×#392C2211yescharacteristic, complemented
184C59×#390C2211yescharacteristic
185C59×#390C2211yescharacteristic, complemented
186C59×#389C2211yescharacteristic, complemented
187C59×#385C2211yescharacteristic
188C59×#385C2211yescharacteristic, complemented
189C24×D59C2311yescharacteristic
190C2×#11745687—24no—
191C2×#11745687—42no—
192C2×#11745687—42no—
193C22×Dic118C2311yescharacteristic
194C22×Dic118C2311yescharacteristic
195C22×C22⋊D59C2311yescharacteristic
196C22×C22⋊D59C2311yescharacteristic
197C22×C22⋊D59C2311yescharacteristic
198C22×C22⋊D59C2311yescharacteristic
199C22×C22⋊D59C2311yescharacteristic
200C22×C22⋊D59C2311yescharacteristic
201C23×Dic59C2311yescharacteristic
202C23×Dic59C2311yescharacteristic
203C23×Dic59C2311yescharacteristic
204C23×Dic59C2311yescharacteristic
205C23×Dic59C2311yescharacteristic
206C22×C4×D59—24no—
207C22×C4×D59—42no—
208C22×C4×D59—42no—
209C22×C4×D59C2311yescharacteristic
210C22×C4×D59C2311yescharacteristic
211C22×C4×D59C2311yescharacteristic
212C22×C4×D59C2311yescharacteristic
213#14273720—24no—
214#14273720—24no—
215#14273717—24no—
216#14273717—24no—
217#14273710—42no—
218#14273709—24no—
219#14273709—24no—
220#14273708—24no—
221#14273708—24no—
222#14273708—24no—
223#14273708—24no—
224#14273707—24no—
225#14273706—24no—
226#14273706—24no—
227#14273705—42no—
228#14273705—42no—
229#14273704—24no—
230#14273704—24no—
231#14273704—42no—
232#14273699—42no—
233#14273698—24no—
234#14273695—24no—
235#14273695—24no—
236#14273695—42no—
237D4×Dic59—24no—
238D4×Dic59—24no—
239D4×Dic59D418yescomplemented
240(C22⋊D59)⋊C4—24no—
241(C22⋊D59)⋊C4—24no—
242#14273685—24no—
243C2×C4⋊Dic59C2311yescharacteristic
244C2×C4⋊Dic59C2311yescharacteristic
245C2×C4⋊Dic59C2311yescharacteristic
246C2×C4⋊Dic59C2311yescharacteristic
247C2×C4⋊Dic59C2311yescharacteristic
248C2×C4⋊Dic59C2311yescharacteristic
249C2×C4⋊Dic59C2311yescharacteristic
250C2×C4⋊Dic59C2311yescharacteristic
251C2×Dic59⋊C4—24no—
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×Dic59⋊C4C2311yescharacteristic
272C2×Dic59⋊C4C2311yescharacteristic
273C2×Dic59⋊C4C2311yescharacteristic
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×(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×C4×Dic59C2311yescharacteristic
313C2×C4×Dic59C2311yescharacteristic
314C2×C4×Dic59C2311yescharacteristic
315C2×C4×Dic59C2311yescharacteristic
316C2×C4×Dic59C2311yescharacteristic
317C2×C4×Dic59C2311yescharacteristic
318C59⋊#95C2311yescharacteristic
319C59⋊#95C2311yescharacteristic
320C59⋊#95C2311yescharacteristic
321C59⋊#95C2311yescharacteristic
322C59⋊#95C2311yescharacteristic
323C59⋊#95C2311yescharacteristic
324C59⋊#95C2311yescharacteristic
325C59⋊#95C2311yescharacteristic
326C59⋊#95C2311yescharacteristic
327C59⋊#95C2311yescharacteristic
328C59⋊#95C2311yescharacteristic
329C59⋊#95C2311yescharacteristic
330C59⋊#95C2311yescharacteristic
331C59⋊#95C2311yescharacteristic
332C59⋊#95C2311yescharacteristic
333C59⋊#95C2311yescharacteristic
334C59⋊#95C2311yescharacteristic
335C59⋊#95C2311yescharacteristic
336C59⋊#95C2311yescharacteristic
337C59⋊#95C2311yescharacteristic
338C59⋊#95C2311yescharacteristic
339C59⋊#95C2311yescharacteristic
340C59⋊#95C2311yescharacteristic
341C59⋊#95C2311yescharacteristic
342C59⋊#95C2311yescharacteristic
343C59⋊#95C2311yescharacteristic
344C59⋊#95C2311yescharacteristic
345C59⋊#95C2311yescharacteristic
346C22×D4×C59C2311yescharacteristic
347C22×D4×C59C2311yescharacteristic
348C22×D4×C59C2311yescharacteristic
349C22×D4×C59C2311yescharacteristic
350C22×D4×C59C2311yescharacteristic
351C22×D4×C59C2311yescharacteristic
352C23×C4×C59C2311yescharacteristic
353C23×C4×C59C2311yescharacteristic
354#123×C59—42no—
355#123×C59—42no—
356#121×C59—24no—
357#121×C59—24no—
358C2×C4⋊C4×C59C2311yescharacteristic
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×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×C22⋊C4×C59C2311yescharacteristic
374C2×C22⋊C4×C59C2311yescharacteristic
375C2×C22⋊C4×C59C2311yescharacteristic
376C2×C22⋊C4×C59C2311yescharacteristic
377C2×C22⋊C4×C59C2311yescharacteristic
378C2×C22⋊C4×C59C2311yescharacteristic
379C2×C22⋊C4×C59C2311yescharacteristic
380C2×C42×C59C2311yescharacteristic
381#95×C59C2311yescharacteristic
382#95×C59C2311yescharacteristic
383#95×C59C2311yescharacteristic
384#95×C59C2311yescharacteristic
385C24×C59C2411yescharacteristic
386C24×C59C2411yescharacteristic
387C24×C59C2411yescharacteristic
388C24×C59C2411yescharacteristic
389C23×D59—22no—
390C23×D59—22no—
391C23×D59—22no—
392C23×D59—41no—
393C23×D59—41no—
394C23×D59—41no—
395C23×D59—41no—
396C23×D59C2411yescharacteristic
397C23×D59C2411yescharacteristic
398C2×D4×C59—22no—
399C2×D4×C59—22no—
400C2×D4×C59—22no—
401C2×D4×C59—22no—
402C2×D4×C59—22no—
403C2×D4×C59—41no—
404C2×D4×C59—41no—
405C2×D4×C59—41no—
406C2×D4×C59—41no—
407C2×D4×C59—41no—
408C2×D4×C59—41no—
409C2×D4×C59—41no—
410C2×D4×C59—41no—
411C2×D4×C59—41no—
412C2×D4×C59—41no—
413C2×D4×C59—41no—
414C2×D4×C59—41no—
415C2×D4×C59C2×D414yes—
416C22×C4×C59—22no—
417C22×C4×C59—22no—
418C22×C4×C59—22no—
419C22×C4×C59—41no—
420C22×C4×C59—41no—
421C22×C4×C59—41no—
422C22×C4×C59C2411yescharacteristic
423C22×C4×C59C2411yescharacteristic
424C22×C4×C59C2411yescharacteristic
425C22×C4×C59C2411yescharacteristic
426C22×C4×C59C2411yescharacteristic
427C22×C4×C59C2411yescharacteristic
428C22×C4×C59C2411yescharacteristic
429C22×C4×C59C2411yescharacteristic
430C22×C4×C59C2411yescharacteristic
431C22×C4×C59C2411yescharacteristic
432C22×C4×C59C2411yescharacteristic
433C2×C22⋊D59—22no—
434C2×C22⋊D59—22no—
435C2×C22⋊D59—22no—
436C2×C22⋊D59—22no—
437C2×C22⋊D59—22no—
438C2×C22⋊D59—22no—
439C2×C22⋊D59—22no—
440C2×C22⋊D59—22no—
441C2×C22⋊D59—22no—
442C2×C22⋊D59—22no—
443C2×C22⋊D59—41no—
444C2×C22⋊D59—41no—
445C2×C22⋊D59—41no—
446C2×C22⋊D59—41no—
447C2×C22⋊D59—41no—
448C2×C22⋊D59—41no—
449C2×C22⋊D59—41no—
450C2×C22⋊D59—41no—
451C22×Dic59—22no—
452C22×Dic59—22no—
453C22×Dic59—22no—
454C22×Dic59—41no—
455C22×Dic59—41no—
456C22×Dic59—41no—
457C22×Dic59—41no—
458C22×Dic59—41no—
459C22×Dic59—41no—
460C22×Dic59—41no—
461C22×Dic59—41no—
462C22×Dic59—41no—
463C22×Dic59—41no—
464C22×Dic59C2×D414yes—
465C22×Dic59C2×D414yes—
466C22×Dic59C2411yescharacteristic
467C22×Dic59C2411yescharacteristic
468C22×Dic59C2411yescharacteristic
469C22×Dic59C2411yescharacteristic
470C22×Dic59C2411yescharacteristic
471C22×Dic59C2411yescharacteristic
472C22×Dic59C2411yescharacteristic
473C22×Dic59C2411yescharacteristic
474C22×Dic59C2411yescharacteristic
475C22×Dic59C2411yescharacteristic
476C22×Dic59C2411yescharacteristic
477C22×Dic59C2411yescharacteristic
478C22×Dic59C2411yescharacteristic
479C22×Dic59C2411yescharacteristic
480#11745687—416no—
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—22no—
488C2×C4×D59—22no—
489C2×C4×D59—416no—
490C2×C4×D59—41no—
491C2×C4×D59—41no—
492C2×C4×D59—41no—
493C2×C4×D59—41no—
494C2×Dic118—22no—
495C2×Dic118—22no—
496C2×Dic118—22no—
497C2×Dic118—41no—
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—41no—
505C4⋊C4×C59—41no—
506C4⋊C4×C59—41no—
507C4⋊C4×C59—41no—
508C22⋊C4×C59—22no—
509C22⋊C4×C59—22no—
510C22⋊C4×C59—22no—
511C22⋊C4×C59—22no—
512C22⋊C4×C59—22no—
513C22⋊C4×C59—41no—
514C22⋊C4×C59—41no—
515C22⋊C4×C59—41no—
516C22⋊C4×C59—41no—
517C22⋊C4×C59—41no—
518C22⋊C4×C59—41no—
519C22⋊C4×C59—41no—
520C22⋊C4×C59—41no—
521C22⋊C4×C59—41no—
522C42×C59—41no—
523C22⋊Dic59—22no—
524C22⋊Dic59—22no—
525C22⋊Dic59—22no—
526C22⋊Dic59—22no—
527C22⋊Dic59—22no—
528C22⋊Dic59—22no—
529C22⋊Dic59—22no—
530C22⋊Dic59—22no—
531C22⋊Dic59—41no—
532C22⋊Dic59—41no—
533C22⋊Dic59—41no—
534C22⋊Dic59—41no—
535C22⋊Dic59—41no—
536C22⋊Dic59—41no—
537C22⋊Dic59—41no—
538C22⋊Dic59—41no—
539C22⋊Dic59—41no—
540C22⋊Dic59—41no—
541C22⋊Dic59C2×D414yes—
542C22⋊Dic59C2×D414yes—
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—22no—
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)⋊C4—41no—
560(C2×D59)⋊C4—41no—
561C4⋊Dic59—22no—
562C4⋊Dic59—22no—
563C4⋊Dic59—22no—
564C4⋊Dic59—22no—
565C4⋊Dic59—41no—
566C4⋊Dic59—41no—
567C4⋊Dic59—41no—
568C4⋊Dic59C2×D414yes—
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—22no—
581Dic59⋊C4—22no—
582Dic59⋊C4—41no—
583Dic59⋊C4—41no—
584Dic59⋊C4—41no—
585Dic59⋊C4—41no—
586Dic59⋊C4—41no—
587Dic59⋊C4—41no—
588Dic59⋊C4—41no—
589Dic59⋊C4—41no—
590Dic59⋊C4—41no—
591C4×Dic59—22no—
592C4×Dic59—22no—
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×C59—21no—
617C23×C59—21no—
618C23×C59—21no—
619C23×C59—21no—
620C23×C59—21no—
621C23×C59—21no—
622C23×C59—21no—
623C23×C59C22×D412yes—
624C23×C59C22×D412yes—
625C23×C59C2511yescharacteristic
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×D59H(5,𝔽2)12yes—
646C22×D592−1+412yes—
647D4×C59—44no—
648D4×C59—44no—
649D4×C59—44no—
650D4×C59—44no—
651D4×C59—82no—
652D4×C59—82no—
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—44no—
685C2×C4×C59—82no—
686C2×C4×C59C22×D412yes—
687C2×C4×C59H(5,𝔽2)12yes—
688C22⋊D59—44no—
689C22⋊D59—44no—
690C22⋊D59—44no—
691C22⋊D59—44no—
692C22⋊D59—82no—
693C22⋊D59—82no—
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—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—44no—
733C2×Dic59—44no—
734C2×Dic59—44no—
735C2×Dic59—44no—
736C2×Dic59—82no—
737C2×Dic59C22×D412yes—
738C2×Dic59C22×D412yes—
739C2×Dic59C22×D412yes—
740C2×Dic59C22×D412yes—
741C4×D59—28no—
742C4×D59—44no—
743C4×D59—44no—
744C4×D59—44no—
745Dic118—44no—
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×C59—41no—
770C22×C59—41no—
771C22×C59—41no—
772C22×C59—41no—
773C22×C59—41no—
774C22×C59—41no—
775C22×C59—41no—
776C22×C59C23×D411yescharacteristic
777C22×C59C2×H(5,𝔽2)11yescharacteristic
778C22×C59C2×H(5,𝔽2)11yescharacteristic
779C22×C59C2×2−1+411yescharacteristic
780C22×C59#58511yescharacteristic
781C22×C59#58511yescharacteristic
782C22×C59#58511yescharacteristic
783C2×D59—22no—
784C2×D59—22no—
785C2×D59—22no—
786C2×D59—22no—
787C2×D59—22no—
788C2×D59—22no—
789C2×D59—416no—
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—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—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#2682D5911yescharacteristic, complemented
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#2406—591no—
853#2319—591no—
854C2×C59—42no—
855C2×C59—42no—
856C2×C59—81no—
857C2×C59—81no—
858C2×C59#344911yescharacteristic
859C2×C59#348411yescharacteristic
860C2×C59#348911yescharacteristic
861C2×C59#353311yescharacteristic
862C2×C59#353511yescharacteristic
863C2×C59#353911yescharacteristic
864C2×C59#354111yescharacteristic
865D59—42no—
866D59—42no—
867C22×#41—591no—
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×#121C2×D5911yescharacteristic
895C2×#121C2×D5911yescharacteristic
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⋊C4—591no—
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#396C2×D5911yescharacteristic, complemented
931#396C2×D5911yescharacteristic, complemented
932#395—591no—
933#395—591no—
934#395—591no—
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, complemented
948#393—591no—
949#392—591no—
950#392—591no—
951#392—591no—
952#392C2×D5911yescharacteristic
953#392C2×D5911yescharacteristic, complemented
954#391—591no—
955#390—591no—
956#390—591no—
957#390—591no—
958#390—591no—
959#390—591no—
960#390—591no—
961#390C2×D5911yescharacteristic
962#390C2×D5911yescharacteristic, complemented
963#389—591no—
964#389—591no—
965#389—591no—
966#389—591no—
967#389C2×D5911yescharacteristic, complemented
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#386—591no—
993#386—591no—
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#385—591no—
1007#385—591no—
1008#385C2×D5911yescharacteristic
1009#385C2×D5911yescharacteristic, complemented
1010#384—591no—
1011#382—591no—
1012#381—591no—
1013#381—591no—
1014#381—591no—
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—1184no—
1027C2×#41—2362no—
1028C2×#41—2362no—
1029C22×Q8—591no—
1030C22×Q8—591no—
1031C22×D4—591no—
1032C22×D4—591no—
1033C22×D4—591no—
1034C22×D4—591no—
1035C22×D4—591no—
1036C22×D4—591no—
1037C22×D4C22×D5911yescharacteristic
1038C22×D4C22×D5911yescharacteristic
1039C22×D4C22×D5911yescharacteristic
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—591no—
1050C23×C4—591no—
1051C23×C4—591no—
1052C23×C4—1184no—
1053C23×C4—2362no—
1054C23×C4—2362no—
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—24no—
1079#121—24no—
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—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—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—1184no—
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⋊C4C22×D5911yescharacteristic
1169C2×C22⋊C4C22×D5911yescharacteristic
1170C2×C22⋊C4C22×D5911yescharacteristic
1171C2×C22⋊C4C22×D5911yescharacteristic
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×C42C22×D5911yescharacteristic
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#95—591no—
1214#95—591no—
1215#95—591no—
1216#95—591no—
1217#95C22×D5911yescharacteristic
1218#95C22×D5911yescharacteristic
1219#95C22×D5911yescharacteristic
1220#95C22×D5911yescharacteristic
1221C24—591no—
1222C24—591no—
1223C24—1182no—
1224C24—1182no—
1225C24—1182no—
1226C24—2361no—
1227C24—2361no—
1228C24—2361no—
1229C24—2361no—
1230C24C23×D5911yescharacteristic
1231C24C23×D5911yescharacteristic
1232C24C23×D5911yescharacteristic
1233C24C23×D5911yescharacteristic
1234#41—23616no—
1235C2×Q8—1182no—
1236C2×Q8—1182no—
1237C2×Q8—1182no—
1238C2×Q8—2361no—
1239C2×Q8—2361no—
1240C2×Q8—2361no—
1241C2×D4—22no—
1242C2×D4—22no—
1243C2×D4—22no—
1244C2×D4—22no—
1245C2×D4—22no—
1246C2×D4—41no—
1247C2×D4—41no—
1248C2×D4—41no—
1249C2×D4—41no—
1250C2×D4—41no—
1251C2×D4—41no—
1252C2×D4—41no—
1253C2×D4—41no—
1254C2×D4—41no—
1255C2×D4—41no—
1256C2×D4—41no—
1257C2×D4—41no—
1258C2×D4—1182no—
1259C2×D4—1182no—
1260C2×D4—1182no—
1261C2×D4—1182no—
1262C2×D4—1182no—
1263C2×D4—1182no—
1264C2×D4—1182no—
1265C2×D4—1182no—
1266C2×D4—1182no—
1267C2×D4—1182no—
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×D4D4×D5914yes—
1277C22×C4—22no—
1278C22×C4—22no—
1279C22×C4—22no—
1280C22×C4—41no—
1281C22×C4—41no—
1282C22×C4—41no—
1283C22×C4—591no—
1284C22×C4—591no—
1285C22×C4—591no—
1286C22×C4—591no—
1287C22×C4—594no—
1288C22×C4—594no—
1289C22×C4—591no—
1290C22×C4—591no—
1291C22×C4—591no—
1292C22×C4—591no—
1293C22×C4—591no—
1294C22×C4—591no—
1295C22×C4—591no—
1296C22×C4—591no—
1297C22×C4—591no—
1298C22×C4—591no—
1299C22×C4—1182no—
1300C22×C4—1182no—
1301C22×C4—1182no—
1302C22×C4—1182no—
1303C22×C4—1182no—
1304C22×C4—1182no—
1305C22×C4—1182no—
1306C22×C4—1182no—
1307C22×C4—1182no—
1308C22×C4—1182no—
1309C22×C4—1182no—
1310C22×C4—2361no—
1311C22×C4—2361no—
1312C22×C4—2361no—
1313C22×C4—2361no—
1314C22×C4—23616no—
1315C22×C4—2361no—
1316C22×C4—2361no—
1317C22×C4—2361no—
1318C22×C4—2361no—
1319C22×C4—2361no—
1320C22×C4—2361no—
1321C22×C4—2361no—
1322C22×C4—2361no—
1323C22×C4—2361no—
1324C22×C4—2361no—
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—41no—
1341C4⋊C4—41no—
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—1182no—
1361C4⋊C4—1182no—
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—22no—
1377C22⋊C4—22no—
1378C22⋊C4—22no—
1379C22⋊C4—41no—
1380C22⋊C4—41no—
1381C22⋊C4—41no—
1382C22⋊C4—41no—
1383C22⋊C4—41no—
1384C22⋊C4—41no—
1385C22⋊C4—41no—
1386C22⋊C4—41no—
1387C22⋊C4—41no—
1388C22⋊C4—594no—
1389C22⋊C4—594no—
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—1182no—
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—41no—
1427C42—594no—
1428C42—1182no—
1429C42—1182no—
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—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—592no—
1460C23—592no—
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—
1481C23C2×D4×D5912yes—
1482C23C24×D5911yescharacteristic
1483Q8—4722no—
1484Q8—2364no—
1485D4—44no—
1486D4—44no—
1487D4—44no—
1488D4—44no—
1489D4—82no—
1490D4—82no—
1491D4—4722no—
1492D4—4722no—
1493D4—2364no—
1494D4—2364no—
1495D4—2364no—
1496D4—2364no—
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—82no—
1530C2×C4—592no—
1531C2×C4—592no—
1532C2×C4—592no—
1533C2×C4—592no—
1534C2×C4—1188no—
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—1181no—
1566C2×C4—1181no—
1567C2×C4—1181no—
1568C2×C4—1181no—
1569C2×C4—1181no—
1570C2×C4—1181no—
1571C2×C4—1181no—
1572C2×C4—1181no—
1573C2×C4—4722no—
1574C2×C4—2364no—
1575C2×C4—2364no—
1576C2×C4—2364no—
1577C2×C4—2364no—
1578C2×C4—2364no—
1579C2×C4—2364no—
1580C2×C4—2364no—
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—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—41no—
1611C22—1182no—
1612C22—1182no—
1613C22—1182no—
1614C22—1182no—
1615C22—1182no—
1616C22—1182no—
1617C22—23616no—
1618C22—2361no—
1619C22—2361no—
1620C22—2361no—
1621C22—2361no—
1622C22—2361no—
1623C22—2361no—
1624C22—2361no—
1625C22—2361no—
1626C22C22×D4×D5911yescharacteristic
1627C22H(5,𝔽2)×D5911yescharacteristic
1628C22C2×#1427377211yescharacteristic
1629C222−1+4×D5911yescharacteristic
1630C22#1683823711yescharacteristic
1631C22#1683823711yescharacteristic
1632C22#1683823811yescharacteristic
1633C4—22no—
1634C4—22no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—1182no—
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—81no—
1662C2—2362no—
1663C2—2362no—
1664C2#2143742211yescharacteristic
1665C2#2143772411yescharacteristic
1666C2#2143777011yescharacteristic
1667C2#2143826311yescharacteristic
1668C2#2143829611yescharacteristic
1669C2#2143834711yescharacteristic
1670C2#2143837711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2682C2
hypercenter#2682D59
hypocenterC59#36723
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2682

Complements

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

NH ≅ G/Ntype
1. C2×#16837997C2semidirect
2. C2×#16837912C2semidirect
3. #21432385C2semidirect
4. #21432382C2semidirect
5. #21430792C2semidirect
6. #21430789C2semidirect
7. #21430749C2semidirect
8. #21430746C2semidirect
9. #21430705C2semidirect
10. #21430674C2semidirect
11. #21430658C2semidirect
12. #21430489C2semidirect
13. #21430465C2semidirect
14. #21430448C2semidirect
15. #21430445C2semidirect
16. #21430438C2semidirect
17. #21430433C2semidirect
18. #21430424C2semidirect
19. #21430423C2semidirect
20. #21430012C2semidirect
21. #21429932C2semidirect
22. #21429793C2semidirect
23. #21429719C2semidirect
24. #21429696C2semidirect
25. #21429679C2semidirect
26. #21429448C2semidirect
27. #21429291C2semidirect
28. #21427434C2semidirect
29. #21427428C2semidirect
30. #21426733C2semidirect
31. C59×#2682C2semidirect
36. C2×#14273720C22semidirect
37. C2×#14273717C22semidirect
38. C2×#14273717C22semidirect
46. C2×#14273708C22semidirect
49. C2×#14273706C22semidirect
53. C2×#14273704C22semidirect
54. C2×#14273704C22semidirect
62. C2×D4×Dic59C22semidirect
66. C22×Dic59⋊C4C22semidirect
67. #16837344C22semidirect
69. #16837336C22semidirect
70. #16837335C22semidirect
71. #16837335C22semidirect
72. #16837335C22semidirect
73. #16837335C22semidirect
74. #16837333C22semidirect
75. #16837333C22semidirect
78. #16837330C22semidirect
79. #16837330C22semidirect
80. #16837330C22semidirect
85. #16837325C22semidirect
86. #16837325C22semidirect
87. #16837325C22semidirect
91. #16837323C22semidirect
92. #16837322C22semidirect
93. #16837322C22semidirect
103. #16837316C22semidirect
104. #16837316C22semidirect
105. #16837314C22semidirect
109. #16837306C22semidirect
116. #16837301C22semidirect
117. #16837300C22semidirect
118. #16837298C22semidirect
119. #16837297C22semidirect
121. #16837296C22semidirect
122. #16837296C22semidirect
123. #16837295C22semidirect
124. #16837295C22semidirect
131. #16837290C22semidirect
132. #16837288C22semidirect
133. #16837285C22semidirect
134. #16837284C22semidirect
135. #16837284C22semidirect
136. #16837282C22semidirect
137. #16837282C22semidirect
146. #16837277C22semidirect
150. #16837274C22semidirect
151. #16837274C22semidirect
152. #16837274C22semidirect
153. #16837274C22semidirect
160. #16837271C22semidirect
161. #16837266C22semidirect
164. #16837263C22semidirect
168. #16837260C22semidirect
172. C4⋊C4×Dic59C22semidirect
173. #16837248C22semidirect
175. C2×#123×C59C22semidirect
178. C59×#396C22semidirect
179. C59×#396C22semidirect
181. C59×#394C22semidirect
183. C59×#392C22semidirect
185. C59×#390C22semidirect
186. C59×#389C22semidirect
188. C59×#385C22semidirect
239. D4×Dic59D4semidirect
836. #2682D59semidirect
883. C2×#123C2×D59semidirect
930. #396C2×D59semidirect
931. #396C2×D59semidirect
947. #394C2×D59semidirect
953. #392C2×D59semidirect
962. #390C2×D59semidirect
967. #389C2×D59semidirect
1009. #385C2×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×#168379972
C2×#168379122
#214323852
#214323822
#214307922
#214307892
#214307492
#214307462
#214307052
#214306742
#214306582
#214304892
#214304652
#214304482
#214304452
#214304382
#214304332
#214304242
#214304232
#214300122
#214299322
#214297932
#214297192
#214296962
#214296792
#214294482
#214292912
#214274342
#214274282
#214267332
C59×#26822
#3672359