Finite Group Databasebeta

← #28795726

Subgroups — #28795726

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×#16837996C211yesmaximal, characteristic, complemented
2C2×#16837912C211yesmaximal, characteristic, complemented
3#21432389C211yesmaximal, characteristic, complemented
4#21432382C211yesmaximal, characteristic, complemented
5#21430796C211yesmaximal, characteristic, complemented
6#21430785C211yesmaximal, characteristic, complemented
7#21430753C211yesmaximal, characteristic, complemented
8#21430742C211yesmaximal, characteristic, complemented
9#21430670C211yesmaximal, characteristic, complemented
10#21430655C211yesmaximal, characteristic, complemented
11#21430493C211yesmaximal, characteristic, complemented
12#21430467C211yesmaximal, characteristic, complemented
13#21430457C211yesmaximal, characteristic, complemented
14#21430453C211yesmaximal, characteristic, complemented
15#21430450C211yesmaximal, characteristic, complemented
16#21430438C211yesmaximal, characteristic, complemented
17#21430432C211yesmaximal, characteristic, complemented
18#21430427C211yesmaximal, characteristic, complemented
19#21430416C211yesmaximal, characteristic, complemented
20#21430012C211yesmaximal, characteristic, complemented
21#21429934C211yesmaximal, characteristic, complemented
22#21429793C211yesmaximal, characteristic, complemented
23#21429721C211yesmaximal, characteristic, complemented
24#21429688C211yesmaximal, characteristic, complemented
25#21429684C211yesmaximal, characteristic, complemented
26#21429446C211yesmaximal, characteristic, complemented
27#21429291C211yesmaximal, characteristic, complemented
28#21427436C211yesmaximal, characteristic, complemented
29#21427430C211yesmaximal, characteristic, complemented
30#21426733C211yesmaximal, characteristic, complemented
31C59×#2701C211yesmaximal, characteristic, complemented
32C22×#11745687C2211yescharacteristic
33C23×C4×D59C2211yescharacteristic
34#16837996—28no—
35C2×#14273722C2211yescharacteristic, complemented
36C2×#14273720C2211yescharacteristic
37C2×#14273718C2211yescharacteristic, complemented
38C2×#14273717C2211yescharacteristic, complemented
39#16837912—28no—
40C2×#14273711C2211yescharacteristic
41C2×#14273711C2211yescharacteristic
42C2×#14273710C2211yescharacteristic
43C2×#14273710C2211yescharacteristic, complemented
44C2×#14273709C2211yescharacteristic
45C2×#14273709C2211yescharacteristic
46C2×#14273709C2211yescharacteristic
47C2×#14273708C2211yescharacteristic, complemented
48C2×#14273707C2211yescharacteristic
49C2×#14273707C2211yescharacteristic, complemented
50C2×#14273706C2211yescharacteristic
51C2×#14273705C2211yescharacteristic
52C2×#14273705C2211yescharacteristic
53C2×#14273705C2211yescharacteristic, complemented
54C2×#14273704C2211yescharacteristic
55C2×#14273704C2211yescharacteristic, complemented
56C2×#14273700C2211yescharacteristic
57C2×#14273699C2211yescharacteristic
58C2×#14273698C2211yescharacteristic
59C2×#14273697C2211yescharacteristic
60C2×#14273695C2211yescharacteristic
61C2×#14273695C2211yescharacteristic
62C2×D4×Dic59C2211yescharacteristic
63C2×D4×Dic59C2211yescharacteristic
64C2×(C22⋊D59)⋊C4C2211yescharacteristic
65C2×(C22⋊D59)⋊C4C2211yescharacteristic
66C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
67C2×#14273685C2211yescharacteristic
68C22×C4⋊Dic59C2211yescharacteristic, complemented
69#16837344C2211yescharacteristic, complemented
70#16837337C2211yescharacteristic
71#16837336C2211yescharacteristic, complemented
72#16837336C2211yescharacteristic, complemented
73#16837336C2211yescharacteristic, complemented
74#16837335C2211yescharacteristic, complemented
75#16837335C2211yescharacteristic, complemented
76#16837334C2211yescharacteristic, complemented
77#16837331C2211yescharacteristic
78#16837331C2211yescharacteristic, complemented
79#16837330C2211yescharacteristic
80#16837330C2211yescharacteristic
81#16837330C2211yescharacteristic, complemented
82#16837327C2211yescharacteristic
83#16837325C2211yescharacteristic, complemented
84#16837325C2211yescharacteristic, complemented
85#16837324C2211yescharacteristic
86#16837324C2211yescharacteristic
87#16837324C2211yescharacteristic
88#16837324C2211yescharacteristic
89#16837324C2211yescharacteristic
90#16837324C2211yescharacteristic, complemented
91#16837324C2211yescharacteristic, complemented
92#16837323C2211yescharacteristic, complemented
93#16837323C2211yescharacteristic, complemented
94#16837323C2211yescharacteristic, complemented
95#16837319C2211yescharacteristic
96#16837318C2211yescharacteristic
97#16837318C2211yescharacteristic
98#16837318C2211yescharacteristic
99#16837317C2211yescharacteristic
100#16837317C2211yescharacteristic
101#16837317C2211yescharacteristic
102#16837317C2211yescharacteristic, complemented
103#16837317C2211yescharacteristic, complemented
104#16837316C2211yescharacteristic
105#16837314C2211yescharacteristic, complemented
106#16837311C2211yescharacteristic
107#16837311C2211yescharacteristic
108#16837311C2211yescharacteristic
109#16837310C2211yescharacteristic
110#16837310C2211yescharacteristic, complemented
111#16837306C2211yescharacteristic, complemented
112#16837305C2211yescharacteristic
113#16837304C2211yescharacteristic
114#16837303C2211yescharacteristic
115#16837302C2211yescharacteristic
116#16837302C2211yescharacteristic
117#16837302C2211yescharacteristic
118#16837302C2211yescharacteristic, complemented
119#16837300C2211yescharacteristic, complemented
120#16837299C2211yescharacteristic, complemented
121#16837298C2211yescharacteristic, complemented
122#16837297C2211yescharacteristic, complemented
123#16837296C2211yescharacteristic
124#16837296C2211yescharacteristic, complemented
125#16837294C2211yescharacteristic, complemented
126#16837293C2211yescharacteristic
127#16837292C2211yescharacteristic
128#16837292C2211yescharacteristic
129#16837291C2211yescharacteristic
130#16837291C2211yescharacteristic
131#16837291C2211yescharacteristic, complemented
132#16837290C2211yescharacteristic
133#16837290C2211yescharacteristic, complemented
134#16837288C2211yescharacteristic, complemented
135#16837288C2211yescharacteristic, complemented
136#16837284C2211yescharacteristic, complemented
137#16837284C2211yescharacteristic, complemented
138#16837281C2211yescharacteristic
139#16837281C2211yescharacteristic
140#16837280C2211yescharacteristic
141#16837280C2211yescharacteristic
142#16837280C2211yescharacteristic
143#16837280C2211yescharacteristic
144#16837280C2211yescharacteristic
145#16837279C2211yescharacteristic
146#16837279C2211yescharacteristic, complemented
147#16837277C2211yescharacteristic, complemented
148#16837277C2211yescharacteristic, complemented
149#16837276C2211yescharacteristic
150#16837276C2211yescharacteristic
151#16837276C2211yescharacteristic
152#16837276C2211yescharacteristic
153#16837276C2211yescharacteristic
154#16837276C2211yescharacteristic
155#16837275C2211yescharacteristic
156#16837274C2211yescharacteristic, complemented
157#16837274C2211yescharacteristic, complemented
158#16837273C2211yescharacteristic
159#16837273C2211yescharacteristic
160#16837273C2211yescharacteristic, complemented
161#16837271C2211yescharacteristic, complemented
162#16837266C2211yescharacteristic, complemented
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×#121×C59C2211yescharacteristic
176C59×#398C2211yescharacteristic, complemented
177C59×#397C2211yescharacteristic, complemented
178C59×#396C2211yescharacteristic, complemented
179C59×#394C2211yescharacteristic
180C59×#394C2211yescharacteristic
181C59×#394C2211yescharacteristic, complemented
182C59×#390C2211yescharacteristic
183C59×#389C2211yescharacteristic, complemented
184C59×#388C2211yescharacteristic, complemented
185C59×#386C2211yescharacteristic, complemented
186C59×#385C2211yescharacteristic
187C59×#385C2211yescharacteristic, complemented
188C59×#381C2211yescharacteristic
189C24×D59C2311yescharacteristic
190C2×#11745687—24no—
191C2×#11745687—42no—
192C2×#11745687—42no—
193C22×Dic118C2311yescharacteristic
194C22×Dic118C2311yescharacteristic
195C22×D236C2311yescharacteristic
196C22×D236C2311yescharacteristic
197C22×C22⋊D59C2311yescharacteristic
198C22×C22⋊D59C2311yescharacteristic
199C22×C22⋊D59C2311yescharacteristic
200C22×C22⋊D59C2311yescharacteristic
201C22×C22⋊D59C2311yescharacteristic
202C22×C22⋊D59C2311yescharacteristic
203C22×C22⋊D59C2311yescharacteristic
204C23×Dic59C2311yescharacteristic
205C23×Dic59C2311yescharacteristic
206C23×Dic59C2311yescharacteristic
207C23×Dic59C2311yescharacteristic
208C22×C4×D59—24no—
209C22×C4×D59—42no—
210C22×C4×D59—42no—
211C22×C4×D59C2311yescharacteristic
212C22×C4×D59C2311yescharacteristic
213C22×C4×D59C2311yescharacteristic
214C22×C4×D59C2311yescharacteristic
215C22×C4×D59C2311yescharacteristic
216#14273722—24no—
217#14273720—24no—
218#14273718—24no—
219#14273717—24no—
220#14273711—24no—
221#14273711—42no—
222#14273710—24no—
223#14273710—42no—
224#14273709—24no—
225#14273709—24no—
226#14273709—24no—
227#14273708—42no—
228#14273707—24no—
229#14273707—24no—
230#14273706—24no—
231#14273705—42no—
232#14273705—42no—
233#14273705—42no—
234#14273704—24no—
235#14273704—24no—
236#14273700—42no—
237#14273699—24no—
238#14273698—24no—
239#14273697—42no—
240#14273695—24no—
241#14273695—24no—
242D4×Dic59—24no—
243D4×Dic59D418yescomplemented
244(C22⋊D59)⋊C4—24no—
245(C22⋊D59)⋊C4—24no—
246(C22⋊D59)⋊C4—24no—
247#14273685—24no—
248C2×C4⋊Dic59—24no—
249C2×C4⋊Dic59C2311yescharacteristic
250C2×C4⋊Dic59C2311yescharacteristic
251C2×C4⋊Dic59C2311yescharacteristic
252C2×C4⋊Dic59C2311yescharacteristic
253C2×C4⋊Dic59C2311yescharacteristic
254C2×C4⋊Dic59C2311yescharacteristic
255C2×C4⋊Dic59C2311yescharacteristic
256C2×C4⋊Dic59C2311yescharacteristic
257C2×C4⋊Dic59C2311yescharacteristic
258C2×C4⋊Dic59C2311yescharacteristic
259C2×C4⋊Dic59C2311yescharacteristic
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×Dic59⋊C4C2311yescharacteristic
275C2×Dic59⋊C4C2311yescharacteristic
276C2×Dic59⋊C4C2311yescharacteristic
277C2×Dic59⋊C4C2311yescharacteristic
278C2×Dic59⋊C4C2311yescharacteristic
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×(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×(C2×D59)⋊C4C2311yescharacteristic
314C2×(C2×D59)⋊C4C2311yescharacteristic
315C2×(C2×D59)⋊C4C2311yescharacteristic
316C2×(C2×D59)⋊C4C2311yescharacteristic
317C2×(C2×D59)⋊C4C2311yescharacteristic
318C2×C4×Dic59C2311yescharacteristic
319C2×C4×Dic59C2311yescharacteristic
320C2×C4×Dic59C2311yescharacteristic
321C2×C4×Dic59C2311yescharacteristic
322C2×C4×Dic59C2311yescharacteristic
323C2×C4×Dic59C2311yescharacteristic
324C59⋊#95C2311yescharacteristic
325C59⋊#95C2311yescharacteristic
326C59⋊#95C2311yescharacteristic
327C59⋊#95C2311yescharacteristic
328C59⋊#95C2311yescharacteristic
329C59⋊#95C2311yescharacteristic
330C59⋊#95C2311yescharacteristic
331C59⋊#95C2311yescharacteristic
332C59⋊#95C2311yescharacteristic
333C59⋊#95C2311yescharacteristic
334C59⋊#95C2311yescharacteristic
335C59⋊#95C2311yescharacteristic
336C59⋊#95C2311yescharacteristic
337C59⋊#95C2311yescharacteristic
338C59⋊#95C2311yescharacteristic
339C59⋊#95C2311yescharacteristic
340C59⋊#95C2311yescharacteristic
341C59⋊#95C2311yescharacteristic
342C59⋊#95C2311yescharacteristic
343C59⋊#95C2311yescharacteristic
344C59⋊#95C2311yescharacteristic
345C59⋊#95C2311yescharacteristic
346C59⋊#95C2311yescharacteristic
347C59⋊#95C2311yescharacteristic
348C22×D4×C59C2311yescharacteristic
349C22×D4×C59C2311yescharacteristic
350C22×D4×C59C2311yescharacteristic
351C23×C4×C59C2311yescharacteristic
352C23×C4×C59C2311yescharacteristic
353#123×C59—24no—
354#121×C59—24no—
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×C4⋊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×C22⋊C4×C59C2311yescharacteristic
374C2×C22⋊C4×C59C2311yescharacteristic
375C2×C22⋊C4×C59C2311yescharacteristic
376C2×C42×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
398C2×D4×C59—22no—
399C2×D4×C59—22no—
400C2×D4×C59—22no—
401C2×D4×C59—41no—
402C2×D4×C59—41no—
403C2×D4×C59—41no—
404C2×D4×C59—41no—
405C2×D4×C59—41no—
406C2×D4×C59C2×D414yes—
407C22×C4×C59—22no—
408C22×C4×C59—22no—
409C22×C4×C59—22no—
410C22×C4×C59—41no—
411C22×C4×C59—41no—
412C22×C4×C59—41no—
413C22×C4×C59C2411yescharacteristic
414C22×C4×C59C2411yescharacteristic
415C22×C4×C59C2411yescharacteristic
416C22×C4×C59C2411yescharacteristic
417C22×C4×C59C2411yescharacteristic
418C22×C4×C59C2411yescharacteristic
419C22×C4×C59C2411yescharacteristic
420C22×C4×C59C2411yescharacteristic
421C22×C4×C59C2411yescharacteristic
422C22×C4×C59C2411yescharacteristic
423C22×C4×C59C2411yescharacteristic
424C22×C4×C59C2411yescharacteristic
425C2×C22⋊D59—22no—
426C2×C22⋊D59—22no—
427C2×C22⋊D59—22no—
428C2×C22⋊D59—22no—
429C2×C22⋊D59—22no—
430C2×C22⋊D59—22no—
431C2×C22⋊D59—22no—
432C2×C22⋊D59—22no—
433C2×C22⋊D59—22no—
434C2×C22⋊D59—22no—
435C2×C22⋊D59—41no—
436C2×C22⋊D59—41no—
437C2×C22⋊D59—41no—
438C2×C22⋊D59—41no—
439C2×C22⋊D59—41no—
440C2×C22⋊D59—41no—
441C2×C22⋊D59—41no—
442C2×C22⋊D59—41no—
443C2×C22⋊D59—41no—
444C2×C22⋊D59—41no—
445C2×C22⋊D59—41no—
446C22×Dic59—22no—
447C22×Dic59—22no—
448C22×Dic59—41no—
449C22×Dic59—41no—
450C22×Dic59—41no—
451C22×Dic59—41no—
452C22×Dic59—41no—
453C22×Dic59—41no—
454C22×Dic59—41no—
455C22×Dic59—41no—
456C22×Dic59C2×D414yes—
457C22×Dic59C2×D414yes—
458C22×Dic59C2411yescharacteristic
459C22×Dic59C2411yescharacteristic
460C22×Dic59C2411yescharacteristic
461C22×Dic59C2411yescharacteristic
462C22×Dic59C2411yescharacteristic
463C22×Dic59C2411yescharacteristic
464C22×Dic59C2411yescharacteristic
465C22×Dic59C2411yescharacteristic
466C22×Dic59C2411yescharacteristic
467C22×Dic59C2411yescharacteristic
468C22×Dic59C2411yescharacteristic
469C22×Dic59C2411yescharacteristic
470C22×Dic59C2411yescharacteristic
471#11745687—416no—
472C2×D236—22no—
473C2×D236—22no—
474C2×D236—41no—
475C2×D236—41no—
476C2×D236—41no—
477C2×D236—41no—
478C2×C4×D59—22no—
479C2×C4×D59—22no—
480C2×C4×D59—22no—
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—416no—
488C2×C4×D59—41no—
489C2×C4×D59—41no—
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—
521C42×C59—41no—
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—
533C22⋊Dic59C2×D414yes—
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—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)⋊C4—41no—
560(C2×D59)⋊C4—41no—
561C4⋊Dic59—22no—
562C4⋊Dic59—22no—
563C4⋊Dic59—22no—
564C4⋊Dic59—22no—
565C4⋊Dic59—22no—
566C4⋊Dic59—22no—
567C4⋊Dic59—22no—
568C4⋊Dic59—41no—
569C4⋊Dic59—41no—
570C4⋊Dic59—41no—
571C4⋊Dic59C2×D414yes—
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×C59C22×D412yes—
617C23×C59C22×D412yes—
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×D59H(5,𝔽2)12yes—
646C22×D592−1+412yes—
647D4×C59—44no—
648D4×C59—44no—
649D4×C59—44no—
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—21no—
683C2×C4×C59—21no—
684C2×C4×C59—44no—
685C2×C4×C59—44no—
686C2×C4×C59C22×D412yes—
687C2×C4×C59H(5,𝔽2)12yes—
688C22⋊D59—44no—
689C22⋊D59—44no—
690C22⋊D59—44no—
691C22⋊D59—44no—
692C22⋊D59—44no—
693C22⋊D59—82no—
694C22⋊D59—82no—
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—44no—
731C2×Dic59—44no—
732C2×Dic59—44no—
733C2×Dic59—82no—
734C2×Dic59C22×D412yes—
735C2×Dic59C22×D412yes—
736C2×Dic59C22×D412yes—
737C2×Dic59C22×D412yes—
738D236—82no—
739D236—82no—
740C4×D59—28no—
741C4×D59—44no—
742C4×D59—44no—
743C4×D59—44no—
744C4×D59—82no—
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×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—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—
809C4×C59—41no—
810Dic59—22no—
811Dic59—22no—
812Dic59—22no—
813Dic59—22no—
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#2701D5911yescharacteristic, complemented
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#2406—591no—
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×#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×#123—591no—
883C2×#123C2×D5911yescharacteristic
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×#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#398C2×D5911yescharacteristic, complemented
915#397—591no—
916#397—591no—
917#397—591no—
918#397—591no—
919#397—591no—
920#397—591no—
921#397C2×D5911yescharacteristic, complemented
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#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#394C2×D5911yescharacteristic
946#394C2×D5911yescharacteristic
947#394C2×D5911yescharacteristic, complemented
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#390C2×D5911yescharacteristic
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#388C2×D5911yescharacteristic, complemented
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#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#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#381C2×D5911yescharacteristic
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×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—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—24no—
1062#123—1184no—
1063#123—1184no—
1064#123—1184no—
1065#123—1184no—
1066#123—1184no—
1067#123—2362no—
1068#123—2362no—
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—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—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⋊C4—591no—
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#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—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—41no—
1245C2×D4—41no—
1246C2×D4—41no—
1247C2×D4—41no—
1248C2×D4—41no—
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—1182no—
1259C2×D4—1182no—
1260C2×D4—1182no—
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×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—1182no—
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—2361no—
1310C22×C4—2361no—
1311C22×C4—2361no—
1312C22×C4—2361no—
1313C22×C4—2361no—
1314C22×C4—2361no—
1315C22×C4—23616no—
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×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—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—594no—
1388C22⋊C4—594no—
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—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—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—
1481C23C2×D4×D5912yes—
1482C23C24×D5911yescharacteristic
1483Q8—4722no—
1484Q8—2364no—
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—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—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—44no—
1532C2×C4—44no—
1533C2×C4—592no—
1534C2×C4—592no—
1535C2×C4—592no—
1536C2×C4—592no—
1537C2×C4—1188no—
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—4722no—
1575C2×C4—2364no—
1576C2×C4—2364no—
1577C2×C4—2364no—
1578C2×C4—2364no—
1579C2×C4—2364no—
1580C2×C4—2364no—
1581C2×C4C2×D4×D5912yes—
1582C2×C4#1427377312yes—
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
1627C22H(5,𝔽2)×D5911yescharacteristic
1628C22C2×#1427377311yescharacteristic
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—41no—
1645C4—1182no—
1646C4—1182no—
1647C4—1182no—
1648C4—1182no—
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#2143742211yescharacteristic
1665C2#2143772611yescharacteristic
1666C2#2143777011yescharacteristic
1667C2#2143825611yescharacteristic
1668C2#2143829611yescharacteristic
1669C2#2143835311yescharacteristic
1670C2#2143838511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2701C2
hypercenter#2701D59
hypocenterC59#36723
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2701

Complements

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

NH ≅ G/Ntype
1. C2×#16837996C2semidirect
2. C2×#16837912C2semidirect
3. #21432389C2semidirect
4. #21432382C2semidirect
5. #21430796C2semidirect
6. #21430785C2semidirect
7. #21430753C2semidirect
8. #21430742C2semidirect
9. #21430670C2semidirect
10. #21430655C2semidirect
11. #21430493C2semidirect
12. #21430467C2semidirect
13. #21430457C2semidirect
14. #21430453C2semidirect
15. #21430450C2semidirect
16. #21430438C2semidirect
17. #21430432C2semidirect
18. #21430427C2semidirect
19. #21430416C2semidirect
20. #21430012C2semidirect
21. #21429934C2semidirect
22. #21429793C2semidirect
23. #21429721C2semidirect
24. #21429688C2semidirect
25. #21429684C2semidirect
26. #21429446C2semidirect
27. #21429291C2semidirect
28. #21427436C2semidirect
29. #21427430C2semidirect
30. #21426733C2semidirect
31. C59×#2701C2semidirect
35. C2×#14273722C22semidirect
37. C2×#14273718C22semidirect
38. C2×#14273717C22semidirect
43. C2×#14273710C22semidirect
47. C2×#14273708C22semidirect
49. C2×#14273707C22semidirect
53. C2×#14273705C22semidirect
55. C2×#14273704C22semidirect
66. C2×(C22⋊D59)⋊C4C22semidirect
68. C22×C4⋊Dic59C22semidirect
69. #16837344C22semidirect
71. #16837336C22semidirect
72. #16837336C22semidirect
73. #16837336C22semidirect
74. #16837335C22semidirect
75. #16837335C22semidirect
76. #16837334C22semidirect
78. #16837331C22semidirect
81. #16837330C22semidirect
83. #16837325C22semidirect
84. #16837325C22semidirect
90. #16837324C22semidirect
91. #16837324C22semidirect
92. #16837323C22semidirect
93. #16837323C22semidirect
94. #16837323C22semidirect
102. #16837317C22semidirect
103. #16837317C22semidirect
105. #16837314C22semidirect
110. #16837310C22semidirect
111. #16837306C22semidirect
118. #16837302C22semidirect
119. #16837300C22semidirect
120. #16837299C22semidirect
121. #16837298C22semidirect
122. #16837297C22semidirect
124. #16837296C22semidirect
125. #16837294C22semidirect
131. #16837291C22semidirect
133. #16837290C22semidirect
134. #16837288C22semidirect
135. #16837288C22semidirect
136. #16837284C22semidirect
137. #16837284C22semidirect
146. #16837279C22semidirect
147. #16837277C22semidirect
148. #16837277C22semidirect
156. #16837274C22semidirect
157. #16837274C22semidirect
160. #16837273C22semidirect
161. #16837271C22semidirect
162. #16837266C22semidirect
164. #16837263C22semidirect
168. #16837260C22semidirect
172. C4⋊C4×Dic59C22semidirect
173. #16837248C22semidirect
176. C59×#398C22semidirect
177. C59×#397C22semidirect
178. C59×#396C22semidirect
181. C59×#394C22semidirect
183. C59×#389C22semidirect
184. C59×#388C22semidirect
185. C59×#386C22semidirect
187. C59×#385C22semidirect
243. D4×Dic59D4semidirect
831. #2701D59semidirect
914. #398C2×D59semidirect
921. #397C2×D59semidirect
931. #396C2×D59semidirect
947. #394C2×D59semidirect
967. #389C2×D59semidirect
979. #388C2×D59semidirect
993. #386C2×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×#168379962
C2×#168379122
#214323892
#214323822
#214307962
#214307852
#214307532
#214307422
#214306702
#214306552
#214304932
#214304672
#214304572
#214304532
#214304502
#214304382
#214304322
#214304272
#214304162
#214300122
#214299342
#214297932
#214297212
#214296882
#214296842
#214294462
#214292912
#214274362
#214274302
#214267332
C59×#27012
#3672359