Finite Group Databasebeta

← #28761694

Subgroups — #28761694

Order 15104.

2404 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837996C211yesmaximal, characteristic, complemented
2C2×#16837989C211yesmaximal, characteristic, complemented
3#21432465C211yesmaximal, characteristic, complemented
4#21432464C211yesmaximal, characteristic, complemented
5#21432428C211yesmaximal, characteristic, complemented
6#21432393C211yesmaximal, characteristic, complemented
7#21430254C211yesmaximal, characteristic, complemented
8#21430245C211yesmaximal, characteristic, complemented
9#21430234C211yesmaximal, characteristic, complemented
10#21430223C211yesmaximal, characteristic, complemented
11#21429235C211yesmaximal, characteristic, complemented
12#21429218C211yesmaximal, characteristic, complemented
13#21429203C211yesmaximal, characteristic, complemented
14#21429190C211yesmaximal, characteristic, complemented
15#21429109C211yesmaximal, characteristic, complemented
16#21429054C211yesmaximal, characteristic, complemented
17#21429026C211yesmaximal, characteristic, complemented
18#21428985C211yesmaximal, characteristic, complemented
19#21428795C211yesmaximal, characteristic, complemented
20#21428775C211yesmaximal, characteristic, complemented
21#21428422C211yesmaximal, characteristic, complemented
22#21428224C211yesmaximal, characteristic, complemented
23#21428106C211yesmaximal, characteristic, complemented
24#21428061C211yesmaximal, characteristic, complemented
25#21427626C211yesmaximal, characteristic, complemented
26#21426768C211yesmaximal, characteristic, complemented
27#21426753C211yesmaximal, characteristic, complemented
28#21426606C211yesmaximal, characteristic, complemented
29C2×#16837294C211yesmaximal, characteristic, complemented
30C4×D4×Dic59C211yesmaximal, characteristic, complemented
31C59×#2425C211yesmaximal, characteristic, complemented
32#16837996—28no—
33#16837989—28no—
34C2×#14273722C2211yescharacteristic
35C2×#14273722C2211yescharacteristic
36C2×#14273722C2211yescharacteristic, complemented
37C2×#14273720C2211yescharacteristic, complemented
38C2×#14273718C2211yescharacteristic, complemented
39C2×#14273717C2211yescharacteristic, complemented
40C2×#14273713C2211yescharacteristic
41C2×#14273713C2211yescharacteristic
42C2×#14273713C2211yescharacteristic
43C2×#14273711C2211yescharacteristic
44C2×#14273711C2211yescharacteristic
45C2×#14273711C2211yescharacteristic, complemented
46C2×#14273710C2211yescharacteristic
47C2×#14273709C2211yescharacteristic, complemented
48C2×#14273707C2211yescharacteristic, complemented
49C2×#14273706C2211yescharacteristic
50C2×#14273704C2211yescharacteristic
51C2×#14273704C2211yescharacteristic, complemented
52C2×#14273701C2211yescharacteristic
53C2×#14273699C2211yescharacteristic
54C2×#14273699C2211yescharacteristic
55C2×#14273699C2211yescharacteristic
56C2×#14273699C2211yescharacteristic
57C2×#14273697C2211yescharacteristic
58C2×#14273695C2211yescharacteristic
59C2×#14273695C2211yescharacteristic
60C2×D4×Dic59C2211yescharacteristic
61C2×D4×Dic59C2211yescharacteristic
62C2×D4×Dic59C2211yescharacteristic
63C2×(C22⋊D59)⋊C4C2211yescharacteristic
64C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
65C22×C4⋊Dic59C2211yescharacteristic
66C22×(C2×D59)⋊C4C2211yescharacteristic
67C22×(C2×D59)⋊C4C2211yescharacteristic
68C22×(C2×D59)⋊C4C2211yescharacteristic
69C22×C4×Dic59C2211yescharacteristic
70C22×C4×Dic59C2211yescharacteristic, complemented
71#16837344C2211yescharacteristic, complemented
72#16837343C2211yescharacteristic, complemented
73#16837337C2211yescharacteristic
74#16837337C2211yescharacteristic
75#16837336C2211yescharacteristic, complemented
76#16837335C2211yescharacteristic, complemented
77#16837335C2211yescharacteristic, complemented
78#16837331C2211yescharacteristic
79#16837331C2211yescharacteristic, complemented
80#16837330C2211yescharacteristic, complemented
81#16837324C2211yescharacteristic
82#16837324C2211yescharacteristic
83#16837324C2211yescharacteristic
84#16837323C2211yescharacteristic, complemented
85#16837322C2211yescharacteristic, complemented
86#16837319C2211yescharacteristic
87#16837318C2211yescharacteristic
88#16837318C2211yescharacteristic
89#16837318C2211yescharacteristic, complemented
90#16837317C2211yescharacteristic
91#16837317C2211yescharacteristic
92#16837317C2211yescharacteristic
93#16837315C2211yescharacteristic
94#16837315C2211yescharacteristic, complemented
95#16837311C2211yescharacteristic
96#16837311C2211yescharacteristic
97#16837311C2211yescharacteristic
98#16837310C2211yescharacteristic, complemented
99#16837306C2211yescharacteristic, complemented
100#16837306C2211yescharacteristic, complemented
101#16837306C2211yescharacteristic, complemented
102#16837304C2211yescharacteristic
103#16837303C2211yescharacteristic
104#16837303C2211yescharacteristic
105#16837303C2211yescharacteristic
106#16837303C2211yescharacteristic
107#16837302C2211yescharacteristic
108#16837302C2211yescharacteristic
109#16837302C2211yescharacteristic
110#16837302C2211yescharacteristic, complemented
111#16837301C2211yescharacteristic, complemented
112#16837301C2211yescharacteristic, complemented
113#16837301C2211yescharacteristic, complemented
114#16837299C2211yescharacteristic, complemented
115#16837298C2211yescharacteristic, complemented
116#16837296C2211yescharacteristic, complemented
117#16837295C2211yescharacteristic, complemented
118#16837295C2211yescharacteristic, complemented
119#16837294C2211yescharacteristic
120#16837294C2211yescharacteristic
121#16837294C2211yescharacteristic
122#16837294C2211yescharacteristic
123#16837294C2211yescharacteristic
124#16837294C2211yescharacteristic
125#16837294C2211yescharacteristic
126#16837294C2211yescharacteristic
127#16837294C2211yescharacteristic
128#16837294C2211yescharacteristic, complemented
129#16837294C2211yescharacteristic, complemented
130#16837293C2211yescharacteristic
131#16837292C2211yescharacteristic
132#16837292C2211yescharacteristic
133#16837292C2211yescharacteristic
134#16837292C2211yescharacteristic
135#16837292C2211yescharacteristic, complemented
136#16837291C2211yescharacteristic
137#16837291C2211yescharacteristic
138#16837291C2211yescharacteristic
139#16837291C2211yescharacteristic, complemented
140#16837290C2211yescharacteristic, complemented
141#16837288C2211yescharacteristic, complemented
142#16837288C2211yescharacteristic, complemented
143#16837282C2211yescharacteristic
144#16837282C2211yescharacteristic, complemented
145#16837281C2211yescharacteristic
146#16837281C2211yescharacteristic
147#16837281C2211yescharacteristic
148#16837280C2211yescharacteristic
149#16837280C2211yescharacteristic
150#16837279C2211yescharacteristic
151#16837279C2211yescharacteristic
152#16837279C2211yescharacteristic, complemented
153#16837277C2211yescharacteristic
154#16837277C2211yescharacteristic, complemented
155#16837277C2211yescharacteristic, complemented
156#16837266C2211yescharacteristic, complemented
157#16837265C2211yescharacteristic
158#16837260C2211yescharacteristic
159#16837257C2211yescharacteristic
160C4⋊C4×Dic59C2211yescharacteristic, complemented
161C4⋊C4×Dic59C2211yescharacteristic, complemented
162C4×C4⋊Dic59C2211yescharacteristic, complemented
163#16837253C2211yescharacteristic, complemented
164C22⋊C4×Dic59C2211yescharacteristic
165C22⋊C4×Dic59C2211yescharacteristic
166C22⋊C4×Dic59C2211yescharacteristic, complemented
167C22⋊C4×Dic59C2211yescharacteristic, complemented
168C22⋊C4×Dic59C2211yescharacteristic, complemented
169C4×C22⋊Dic59C2211yescharacteristic
170C4×C22⋊Dic59C2211yescharacteristic, complemented
171#16837249C2211yescharacteristic, complemented
172C2×C59⋊#95C2211yescharacteristic
173C42×Dic59C2211yescharacteristic, complemented
174C2×#123×C59C2211yescharacteristic
175C2×#123×C59C2211yescharacteristic
176C2×#121×C59C2211yescharacteristic
177C2×C4×D4×C59C2211yescharacteristic
178C59×#398C2211yescharacteristic, complemented
179C59×#397C2211yescharacteristic, complemented
180C59×#396C2211yescharacteristic, complemented
181C59×#394C2211yescharacteristic, complemented
182C59×#389C2211yescharacteristic, complemented
183C59×#388C2211yescharacteristic, complemented
184C59×#386C2211yescharacteristic
185C59×#386C2211yescharacteristic, complemented
186C59×#385C2211yescharacteristic
187C59×#380C2211yescharacteristic, complemented
188C2×#95×C59C2211yescharacteristic
189C24×D59C2311yescharacteristic
190C22×Dic118C2311yescharacteristic
191C22×Dic118C2311yescharacteristic
192C22×D236C2311yescharacteristic
193C22×D236C2311yescharacteristic
194C22×C22⋊D59C2311yescharacteristic
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
206C23×Dic59C2311yescharacteristic
207C22×C4×D59C2311yescharacteristic
208#14273722—24no—
209#14273722—24no—
210#14273722—24no—
211#14273720—24no—
212#14273718—24no—
213#14273717—24no—
214#14273713—24no—
215#14273713—24no—
216#14273713—42no—
217#14273711—24no—
218#14273711—24no—
219#14273711—24no—
220#14273710—24no—
221#14273709—24no—
222#14273707—24no—
223#14273706—24no—
224#14273704—24no—
225#14273704—24no—
226#14273701—42no—
227#14273699—24no—
228#14273699—24no—
229#14273699—24no—
230#14273699—24no—
231#14273697—24no—
232#14273695—24no—
233#14273695—24no—
234D4×Dic59—24no—
235D4×Dic59—24no—
236D4×Dic59D418yescomplemented
237(C22⋊D59)⋊C4—24no—
238(C22⋊D59)⋊C4—42no—
239C2×C4⋊Dic59—24no—
240C2×C4⋊Dic59C2311yescharacteristic
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×C4⋊Dic59C2311yescharacteristic
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×C22⋊Dic59C2311yescharacteristic
263C2×C22⋊Dic59C2311yescharacteristic
264C2×C22⋊Dic59C2311yescharacteristic
265C2×C22⋊Dic59C2311yescharacteristic
266C2×C22⋊Dic59C2311yescharacteristic
267C2×C22⋊Dic59C2311yescharacteristic
268C2×C22⋊Dic59C2311yescharacteristic
269C2×C22⋊Dic59C2311yescharacteristic
270C2×C22⋊Dic59C2311yescharacteristic
271C2×C22⋊Dic59C2311yescharacteristic
272C2×(C2×D59)⋊C4—24no—
273C2×(C2×D59)⋊C4—24no—
274C2×(C2×D59)⋊C4—42no—
275C2×(C2×D59)⋊C4C2311yescharacteristic
276C2×(C2×D59)⋊C4C2311yescharacteristic
277C2×(C2×D59)⋊C4C2311yescharacteristic
278C2×(C2×D59)⋊C4C2311yescharacteristic
279C2×(C2×D59)⋊C4C2311yescharacteristic
280C2×(C2×D59)⋊C4C2311yescharacteristic
281C2×(C2×D59)⋊C4C2311yescharacteristic
282C2×(C2×D59)⋊C4C2311yescharacteristic
283C2×(C2×D59)⋊C4C2311yescharacteristic
284C2×(C2×D59)⋊C4C2311yescharacteristic
285C2×(C2×D59)⋊C4C2311yescharacteristic
286C2×(C2×D59)⋊C4C2311yescharacteristic
287C2×(C2×D59)⋊C4C2311yescharacteristic
288C2×(C2×D59)⋊C4C2311yescharacteristic
289C2×(C2×D59)⋊C4C2311yescharacteristic
290C2×(C2×D59)⋊C4C2311yescharacteristic
291C2×(C2×D59)⋊C4C2311yescharacteristic
292C2×(C2×D59)⋊C4C2311yescharacteristic
293C2×(C2×D59)⋊C4C2311yescharacteristic
294C2×(C2×D59)⋊C4C2311yescharacteristic
295C2×(C2×D59)⋊C4C2311yescharacteristic
296C2×(C2×D59)⋊C4C2311yescharacteristic
297C2×(C2×D59)⋊C4C2311yescharacteristic
298C2×(C2×D59)⋊C4C2311yescharacteristic
299C2×(C2×D59)⋊C4C2311yescharacteristic
300C2×(C2×D59)⋊C4C2311yescharacteristic
301C2×(C2×D59)⋊C4C2311yescharacteristic
302C2×(C2×D59)⋊C4C2311yescharacteristic
303C2×(C2×D59)⋊C4C2311yescharacteristic
304C2×(C2×D59)⋊C4C2311yescharacteristic
305C2×(C2×D59)⋊C4C2311yescharacteristic
306C2×C4×Dic59—42no—
307C2×C4×Dic59—42no—
308C2×C4×Dic59C2311yescharacteristic
309C2×C4×Dic59C2311yescharacteristic
310C2×C4×Dic59C2311yescharacteristic
311C2×C4×Dic59C2311yescharacteristic
312C2×C4×Dic59C2311yescharacteristic
313C2×C4×Dic59C2311yescharacteristic
314C2×C4×Dic59C2311yescharacteristic
315C2×C4×Dic59C2311yescharacteristic
316C2×C4×Dic59C2311yescharacteristic
317C2×C4×Dic59C2311yescharacteristic
318C2×C4×Dic59C2311yescharacteristic
319C2×C4×Dic59C2311yescharacteristic
320C2×C4×Dic59C2311yescharacteristic
321C2×C4×Dic59C2311yescharacteristic
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
349C23×C4×C59C2311yescharacteristic
350C23×C4×C59C2311yescharacteristic
351C23×C4×C59C2311yescharacteristic
352C23×C4×C59C2311yescharacteristic
353#123×C59—24no—
354#123×C59—24no—
355#121×C59—24no—
356C4×D4×C59—24no—
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×C4⋊C4×C59C2311yescharacteristic
364C2×C4⋊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—22no—
402C2×D4×C59—22no—
403C2×D4×C59—22no—
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—22no—
411C22×C4×C59—22no—
412C22×C4×C59—22no—
413C22×C4×C59—22no—
414C22×C4×C59—22no—
415C22×C4×C59—41no—
416C22×C4×C59—41no—
417C22×C4×C59—41no—
418C22×C4×C59—41no—
419C22×C4×C59C2411yescharacteristic
420C22×C4×C59C2411yescharacteristic
421C22×C4×C59C2411yescharacteristic
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
431C2×C22⋊D59—22no—
432C2×C22⋊D59—22no—
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—41no—
441C2×C22⋊D59—41no—
442C2×C22⋊D59—41no—
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—
451C2×C22⋊D59—41no—
452C22×Dic59—22no—
453C22×Dic59—22no—
454C22×Dic59—22no—
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×Dic59—41no—
465C22×Dic59—41no—
466C22×Dic59—41no—
467C22×Dic59C2×D414yes—
468C22×Dic59C2×D414yes—
469C22×Dic59#4114yes—
470C22×Dic59C2411yescharacteristic
471C22×Dic59C2411yescharacteristic
472C22×Dic59C2411yescharacteristic
473C22×Dic59C2411yescharacteristic
474C22×Dic59C2411yescharacteristic
475C22×Dic59C2411yescharacteristic
476C22×Dic59C2411yescharacteristic
477C22×Dic59C2411yescharacteristic
478C22×Dic59C2411yescharacteristic
479C22×Dic59C2411yescharacteristic
480C22×Dic59C2411yescharacteristic
481C22×Dic59C2411yescharacteristic
482C22×Dic59C2411yescharacteristic
483C2×D236—22no—
484C2×D236—22no—
485C2×D236—41no—
486C2×D236—41no—
487C2×D236—41no—
488C2×D236—41no—
489C2×C4×D59—22no—
490C2×C4×D59—41no—
491C2×C4×D59—41no—
492C2×Dic118—22no—
493C2×Dic118—22no—
494C2×Dic118—41no—
495C2×Dic118—41no—
496C2×Dic118—41no—
497C2×Dic118—41no—
498C4⋊C4×C59—22no—
499C4⋊C4×C59—22no—
500C4⋊C4×C59—22no—
501C4⋊C4×C59—22no—
502C4⋊C4×C59—22no—
503C4⋊C4×C59—22no—
504C4⋊C4×C59—41no—
505C4⋊C4×C59—41no—
506C22⋊C4×C59—22no—
507C22⋊C4×C59—22no—
508C22⋊C4×C59—22no—
509C22⋊C4×C59—22no—
510C22⋊C4×C59—22no—
511C22⋊C4×C59—22no—
512C22⋊C4×C59—22no—
513C22⋊C4×C59—22no—
514C22⋊C4×C59—22no—
515C22⋊C4×C59—41no—
516C22⋊C4×C59#4114yes—
517C42×C59—22no—
518C22⋊Dic59—22no—
519C22⋊Dic59—22no—
520C22⋊Dic59—22no—
521C22⋊Dic59—22no—
522C22⋊Dic59—22no—
523C22⋊Dic59—22no—
524C22⋊Dic59—41no—
525C22⋊Dic59—41no—
526C22⋊Dic59C2×D414yes—
527C22⋊Dic59C2×D414yes—
528(C2×D59)⋊C4—22no—
529(C2×D59)⋊C4—22no—
530(C2×D59)⋊C4—22no—
531(C2×D59)⋊C4—22no—
532(C2×D59)⋊C4—22no—
533(C2×D59)⋊C4—22no—
534(C2×D59)⋊C4—22no—
535(C2×D59)⋊C4—22no—
536(C2×D59)⋊C4—22no—
537(C2×D59)⋊C4—22no—
538(C2×D59)⋊C4—22no—
539(C2×D59)⋊C4—22no—
540(C2×D59)⋊C4—22no—
541(C2×D59)⋊C4—22no—
542(C2×D59)⋊C4—22no—
543(C2×D59)⋊C4—22no—
544(C2×D59)⋊C4—22no—
545(C2×D59)⋊C4—22no—
546(C2×D59)⋊C4—22no—
547(C2×D59)⋊C4—22no—
548(C2×D59)⋊C4—22no—
549(C2×D59)⋊C4—22no—
550(C2×D59)⋊C4—41no—
551(C2×D59)⋊C4—41no—
552(C2×D59)⋊C4—41no—
553(C2×D59)⋊C4—41no—
554(C2×D59)⋊C4—41no—
555(C2×D59)⋊C4—41no—
556(C2×D59)⋊C4—41no—
557(C2×D59)⋊C4—41no—
558(C2×D59)⋊C4—41no—
559C4⋊Dic59—22no—
560C4⋊Dic59—22no—
561C4⋊Dic59—22no—
562C4⋊Dic59—22no—
563C4⋊Dic59—22no—
564C4⋊Dic59—22no—
565C4⋊Dic59—22no—
566C4⋊Dic59—22no—
567C4⋊Dic59—41no—
568C4⋊Dic59—41no—
569C4⋊Dic59C2×D414yes—
570Dic59⋊C4—22no—
571Dic59⋊C4—22no—
572Dic59⋊C4—22no—
573Dic59⋊C4—22no—
574Dic59⋊C4—22no—
575Dic59⋊C4—22no—
576Dic59⋊C4—22no—
577Dic59⋊C4—22no—
578Dic59⋊C4—22no—
579Dic59⋊C4—41no—
580Dic59⋊C4—41no—
581C4×Dic59—22no—
582C4×Dic59—22no—
583C4×Dic59—22no—
584C4×Dic59—22no—
585C4×Dic59—22no—
586C4×Dic59—22no—
587C4×Dic59—41no—
588C4×Dic59—41no—
589C4×Dic59—41no—
590C4×Dic59—41no—
591C4×Dic59—41no—
592C4×Dic59—41no—
593C4×Dic59—41no—
594C4×Dic59C2×D414yes—
595C23×C59—21no—
596C23×C59—21no—
597C23×C59—21no—
598C23×C59—21no—
599C23×C59—21no—
600C23×C59—21no—
601C23×C59—21no—
602C23×C59—21no—
603C23×C59—21no—
604C23×C59—21no—
605C23×C59—21no—
606C23×C59—21no—
607C23×C59—21no—
608C23×C59—21no—
609C23×C59—21no—
610C23×C59—21no—
611C23×C59—21no—
612C23×C59C22×D412yes—
613C23×C59C22×D412yes—
614C23×C59C2×#4112yes—
615C23×C59C2×#4112yes—
616C23×C59C2511yescharacteristic
617C22×D59—21no—
618C22×D59—21no—
619C22×D59—21no—
620C22×D59—21no—
621C22×D59—21no—
622C22×D59—21no—
623C22×D59—21no—
624C22×D59—21no—
625C22×D59—21no—
626C22×D59—21no—
627C22×D59—21no—
628C22×D59—21no—
629C22×D59—21no—
630C22×D59—21no—
631C22×D59—21no—
632C22×D59—21no—
633C22×D59—21no—
634C22×D59—21no—
635C22×D59—21no—
636C22×D59—21no—
637C22×D59—21no—
638C22×D59—44no—
639C22×D59—44no—
640C22×D59—44no—
641C22×D59—82no—
642C22×D59—82no—
643C22×D59—82no—
644C22×D59—82no—
645D4×C59—28no—
646D4×C59—44no—
647D4×C59—82no—
648C2×C4×C59—21no—
649C2×C4×C59—21no—
650C2×C4×C59—21no—
651C2×C4×C59—21no—
652C2×C4×C59—21no—
653C2×C4×C59—21no—
654C2×C4×C59—21no—
655C2×C4×C59—21no—
656C2×C4×C59—21no—
657C2×C4×C59—21no—
658C2×C4×C59—21no—
659C2×C4×C59—21no—
660C2×C4×C59—21no—
661C2×C4×C59—21no—
662C2×C4×C59—21no—
663C2×C4×C59—21no—
664C2×C4×C59—21no—
665C2×C4×C59—21no—
666C2×C4×C59—21no—
667C2×C4×C59—21no—
668C2×C4×C59—21no—
669C2×C4×C59—21no—
670C2×C4×C59—21no—
671C2×C4×C59—21no—
672C2×C4×C59—21no—
673C2×C4×C59—21no—
674C2×C4×C59—21no—
675C2×C4×C59—21no—
676C2×C4×C59—21no—
677C2×C4×C59—21no—
678C2×C4×C59—21no—
679C2×C4×C59—21no—
680C2×C4×C59—44no—
681C2×C4×C59—44no—
682C2×C4×C59—44no—
683C2×C4×C59—82no—
684C2×C4×C59C22×D412yes—
685C2×C4×C59C2×#4112yes—
686C2×C4×C59C2×#4112yes—
687C2×C4×C59H(5,𝔽2)12yes—
688C22⋊D59—44no—
689C22⋊D59—44no—
690C22⋊D59—82no—
691C22⋊D59—82no—
692C22⋊D59—82no—
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—44no—
729C2×Dic59—44no—
730C2×Dic59—44no—
731C2×Dic59—44no—
732C2×Dic59—82no—
733C2×Dic59—82no—
734C2×Dic59C22×D412yes—
735C2×Dic59C22×D412yes—
736C2×Dic59C22×D412yes—
737C2×Dic59C22×D412yes—
738C2×Dic59C2×#4112yes—
739C2×Dic59C2×#4112yes—
740D236—82no—
741D236—82no—
742C4×D59—82no—
743Dic118—82no—
744Dic118—82no—
745#35009—591nomaximal, Sylow
746C22×C59—22no—
747C22×C59—22no—
748C22×C59—22no—
749C22×C59—22no—
750C22×C59—22no—
751C22×C59—22no—
752C22×C59—22no—
753C22×C59—22no—
754C22×C59—22no—
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#53214yes—
767C22×C59C23×D411yescharacteristic
768C22×C59C22×#4111yescharacteristic
769C22×C59C22×#4111yescharacteristic
770C22×C59C2×H(5,𝔽2)11yescharacteristic
771C22×C59#58511yescharacteristic
772C22×C59#58511yescharacteristic
773C22×C59#58511yescharacteristic
774C2×D59—41no—
775C2×D59—41no—
776C2×D59—41no—
777C2×D59—41no—
778C2×D59—41no—
779C2×D59—41no—
780C2×D59—41no—
781C2×D59—41no—
782C2×D59—41no—
783C2×D59—41no—
784C2×D59—41no—
785C2×D59—41no—
786C2×D59—41no—
787C2×D59—41no—
788C2×D59—41no—
789C2×D59—41no—
790C2×D59—41no—
791C2×D59—41no—
792C2×D59—41no—
793C2×D59—41no—
794C2×D59—41no—
795C2×D59—88no—
796C4×C59—22no—
797C4×C59—22no—
798C4×C59—22no—
799C4×C59—22no—
800C4×C59—41no—
801C4×C59—41no—
802C4×C59—41no—
803C4×C59—41no—
804C4×C59—41no—
805C4×C59—41no—
806C4×C59—41no—
807C4×C59—41no—
808Dic59—22no—
809Dic59—22no—
810Dic59—22no—
811Dic59—22no—
812Dic59—22no—
813Dic59—22no—
814Dic59—41no—
815Dic59—41no—
816Dic59—41no—
817Dic59—41no—
818Dic59—41no—
819Dic59—41no—
820Dic59—41no—
821C2×#539—591no—
822C2×#538—591no—
823#2861—591no—
824#2860—591no—
825#2854—591no—
826#2850—591no—
827#2664—591no—
828#2663—591no—
829#2662—591no—
830#2661—591no—
831#2560—591no—
832#2559—591no—
833#2558—591no—
834#2557—591no—
835#2549—591no—
836#2543—591no—
837#2539—591no—
838#2534—591no—
839#2521—591no—
840#2519—591no—
841#2488—591no—
842#2472—591no—
843#2464—591no—
844#2461—591no—
845#2425D5911yescharacteristic, complemented
846#2424—591no—
847#2322—591no—
848#2321—591no—
849C4×#121—591no—
850C2×#388—591no—
851C42×D4—591no—
852C2×C59—24no—
853C2×C59—42no—
854C2×C59—81no—
855C2×C59C2×#53211yescharacteristic
856C2×C59#345511yescharacteristic
857C2×C59#345911yescharacteristic
858C2×C59#349611yescharacteristic
859C2×C59#350011yescharacteristic
860C2×C59#351311yescharacteristic
861C2×C59#352111yescharacteristic
862D59—81no—
863D59—81no—
864D59—81no—
865#539—1188no—
866#538—1188no—
867C2×#126—591no—
868C2×#126—591no—
869C2×#126—591no—
870C2×#126—591no—
871C2×#125—591no—
872C2×#125—591no—
873C2×#124—591no—
874C2×#124—591no—
875C2×#124—591no—
876C2×#123—591no—
877C2×#123—591no—
878C2×#123—591no—
879C2×#123—591no—
880C2×#123—591no—
881C2×#123C2×D5911yescharacteristic
882C2×#123C2×D5911yescharacteristic
883C2×C22⋊Q8—591no—
884C2×C22⋊Q8—591no—
885C2×C22⋊Q8—591no—
886C2×C22⋊Q8—591no—
887C2×#121—591no—
888C2×#121—591no—
889C2×#121—591no—
890C2×#121—591no—
891C2×#121—591no—
892C2×#121C2×D5911yescharacteristic
893C2×#120—591no—
894C2×#120—591no—
895C2×#120—591no—
896C2×C4×D4—591no—
897C2×C4×D4—591no—
898C2×C4×D4—591no—
899C2×C4×D4—591no—
900C2×C4×D4—591no—
901C2×C4×D4C2×D5911yescharacteristic
902C22×C4⋊C4—591no—
903C22×C22⋊C4—591no—
904C22×C22⋊C4—591no—
905C22×C22⋊C4—591no—
906C22×C42—591no—
907C22×C42—591no—
908#400—591no—
909#400—591no—
910#399—591no—
911#399—591no—
912#398—591no—
913#398—591no—
914#398—591no—
915#398C2×D5911yescharacteristic, complemented
916#397—591no—
917#397—591no—
918#397—591no—
919#397C2×D5911yescharacteristic, complemented
920#396—591no—
921#396—591no—
922#396—591no—
923#396C2×D5911yescharacteristic, complemented
924#395—591no—
925#395—591no—
926#394—591no—
927#394—591no—
928#394—591no—
929#394—591no—
930#394—591no—
931#394—591no—
932#394—591no—
933#394C2×D5911yescharacteristic, complemented
934#393—591no—
935#393—591no—
936#392—591no—
937#392—591no—
938#392—591no—
939#392—591no—
940#391—591no—
941#391—591no—
942#391—591no—
943#390—591no—
944#390—591no—
945#390—591no—
946#390—591no—
947#390—591no—
948#390—591no—
949#390—591no—
950#390—591no—
951#390—591no—
952#389—591no—
953#389—591no—
954#389—591no—
955#389—591no—
956#389—591no—
957#389C2×D5911yescharacteristic, complemented
958#388—591no—
959#388—591no—
960#388—591no—
961#388—591no—
962#388—591no—
963#388—591no—
964#388—591no—
965#388—591no—
966#388—591no—
967#388—591no—
968#388—591no—
969#388—591no—
970#388—591no—
971#388—591no—
972#388—591no—
973#388—591no—
974#388—591no—
975#388—591no—
976#388—591no—
977#388—591no—
978#388—591no—
979#388—591no—
980#388—591no—
981#388—591no—
982#388—591no—
983#388C2×D5911yescharacteristic, complemented
984#387—591no—
985#387—591no—
986#386—591no—
987#386—591no—
988#386—591no—
989#386—591no—
990#386—591no—
991#386—591no—
992#386—591no—
993#386—591no—
994#386—591no—
995#386—591no—
996#386C2×D5911yescharacteristic
997#386C2×D5911yescharacteristic, complemented
998#385—591no—
999#385—591no—
1000#385—591no—
1001#385C2×D5911yescharacteristic
1002#382—591no—
1003#381—591no—
1004#380—591no—
1005#380C2×D5911yescharacteristic, complemented
1006#379—591no—
1007C4×C4⋊C4—591no—
1008C4×C4⋊C4—591no—
1009C4×C4⋊C4—591no—
1010C4×C4⋊C4—591no—
1011C4×C22⋊C4—591no—
1012C4×C22⋊C4—591no—
1013C4×C22⋊C4—591no—
1014C4×C22⋊C4—591no—
1015C4×C22⋊C4—591no—
1016C4×C22⋊C4—591no—
1017C4×C22⋊C4—591no—
1018C4×C22⋊C4—591no—
1019C2×#95—591no—
1020C2×#95C2×D5911yescharacteristic
1021C43—591no—
1022C59#3500911yescharacteristic, complemented, Sylow
1023C25—591no—
1024C22×Q8—591no—
1025C22×Q8—591no—
1026C22×D4—591no—
1027C22×D4—591no—
1028C22×D4—591no—
1029C22×D4—591no—
1030C22×D4—591no—
1031C22×D4—591no—
1032C22×D4—591no—
1033C22×D4—591no—
1034C22×D4—591no—
1035C22×D4C22×D5911yescharacteristic
1036C22×D4C22×D5911yescharacteristic
1037C22×D4C22×D5911yescharacteristic
1038C23×C4—591no—
1039C23×C4—591no—
1040C23×C4—591no—
1041C23×C4—591no—
1042C23×C4—591no—
1043C23×C4—591no—
1044C23×C4—591no—
1045C23×C4C22×D5911yescharacteristic
1046C23×C4C22×D5911yescharacteristic
1047C23×C4C22×D5911yescharacteristic
1048C23×C4C22×D5911yescharacteristic
1049#126—1184no—
1050#126—1184no—
1051#126—1184no—
1052#126—1184no—
1053#125—1184no—
1054#125—1184no—
1055#124—1184no—
1056#124—1184no—
1057#124—2362no—
1058#123—24no—
1059#123—24no—
1060#123—1184no—
1061#123—1184no—
1062#123—1184no—
1063#123—1184no—
1064#123—1184no—
1065C22⋊Q8—1184no—
1066C22⋊Q8—1184no—
1067C22⋊Q8—1184no—
1068C22⋊Q8—1184no—
1069#121—24no—
1070#121—1184no—
1071#121—1184no—
1072#121—1184no—
1073#121—1184no—
1074#121—2362no—
1075#120—1184no—
1076#120—1184no—
1077#120—1184no—
1078C4×D4—24no—
1079C4×D4—598no—
1080C4×D4—1184no—
1081C4×D4—1184no—
1082C4×D4—1184no—
1083C4×D4—2362no—
1084C2×C4⋊C4—591no—
1085C2×C4⋊C4—591no—
1086C2×C4⋊C4—591no—
1087C2×C4⋊C4—591no—
1088C2×C4⋊C4—591no—
1089C2×C4⋊C4—591no—
1090C2×C4⋊C4—591no—
1091C2×C4⋊C4—591no—
1092C2×C4⋊C4—591no—
1093C2×C4⋊C4—591no—
1094C2×C4⋊C4—591no—
1095C2×C4⋊C4—591no—
1096C2×C4⋊C4—591no—
1097C2×C4⋊C4—591no—
1098C2×C4⋊C4—591no—
1099C2×C4⋊C4—591no—
1100C2×C4⋊C4—591no—
1101C2×C4⋊C4—591no—
1102C2×C4⋊C4—591no—
1103C2×C4⋊C4—591no—
1104C2×C4⋊C4—591no—
1105C2×C4⋊C4—591no—
1106C2×C4⋊C4—1184no—
1107C2×C4⋊C4C22×D5911yescharacteristic
1108C2×C4⋊C4C22×D5911yescharacteristic
1109C2×C4⋊C4C22×D5911yescharacteristic
1110C2×C4⋊C4C22×D5911yescharacteristic
1111C2×C4⋊C4C22×D5911yescharacteristic
1112C2×C4⋊C4C22×D5911yescharacteristic
1113C2×C4⋊C4C22×D5911yescharacteristic
1114C2×C4⋊C4C22×D5911yescharacteristic
1115C2×C22⋊C4—591no—
1116C2×C22⋊C4—591no—
1117C2×C22⋊C4—591no—
1118C2×C22⋊C4—591no—
1119C2×C22⋊C4—591no—
1120C2×C22⋊C4—591no—
1121C2×C22⋊C4—591no—
1122C2×C22⋊C4—591no—
1123C2×C22⋊C4—591no—
1124C2×C22⋊C4—591no—
1125C2×C22⋊C4—591no—
1126C2×C22⋊C4—591no—
1127C2×C22⋊C4—591no—
1128C2×C22⋊C4—591no—
1129C2×C22⋊C4—591no—
1130C2×C22⋊C4—591no—
1131C2×C22⋊C4—591no—
1132C2×C22⋊C4—591no—
1133C2×C22⋊C4—591no—
1134C2×C22⋊C4—591no—
1135C2×C22⋊C4—591no—
1136C2×C22⋊C4—591no—
1137C2×C22⋊C4—591no—
1138C2×C22⋊C4—591no—
1139C2×C22⋊C4—591no—
1140C2×C22⋊C4—591no—
1141C2×C22⋊C4—591no—
1142C2×C22⋊C4—591no—
1143C2×C22⋊C4—591no—
1144C2×C22⋊C4—591no—
1145C2×C22⋊C4—591no—
1146C2×C22⋊C4—591no—
1147C2×C22⋊C4—591no—
1148C2×C22⋊C4—591no—
1149C2×C22⋊C4—591no—
1150C2×C22⋊C4—591no—
1151C2×C22⋊C4—591no—
1152C2×C22⋊C4—591no—
1153C2×C22⋊C4—591no—
1154C2×C22⋊C4—591no—
1155C2×C22⋊C4—591no—
1156C2×C22⋊C4—1184no—
1157C2×C22⋊C4—1184no—
1158C2×C22⋊C4—2362no—
1159C2×C22⋊C4C22×D5911yescharacteristic
1160C2×C22⋊C4C22×D5911yescharacteristic
1161C2×C22⋊C4C22×D5911yescharacteristic
1162C2×C22⋊C4C22×D5911yescharacteristic
1163C2×C22⋊C4C22×D5911yescharacteristic
1164C2×C22⋊C4C22×D5911yescharacteristic
1165C2×C22⋊C4C22×D5911yescharacteristic
1166C2×C22⋊C4C22×D5911yescharacteristic
1167C2×C22⋊C4C22×D5911yescharacteristic
1168C2×C22⋊C4C22×D5911yescharacteristic
1169C2×C22⋊C4C22×D5911yescharacteristic
1170C2×C42—591no—
1171C2×C42—591no—
1172C2×C42—591no—
1173C2×C42—591no—
1174C2×C42—591no—
1175C2×C42—591no—
1176C2×C42—591no—
1177C2×C42—591no—
1178C2×C42—591no—
1179C2×C42—591no—
1180C2×C42—591no—
1181C2×C42—591no—
1182C2×C42—591no—
1183C2×C42—591no—
1184C2×C42—2362no—
1185C2×C42—2362no—
1186C2×C42C22×D5911yescharacteristic
1187#95—591no—
1188#95—591no—
1189#95—591no—
1190#95—591no—
1191#95—591no—
1192#95—591no—
1193#95—591no—
1194#95—591no—
1195#95—591no—
1196#95—591no—
1197#95—591no—
1198#95—591no—
1199#95—591no—
1200#95—591no—
1201#95—591no—
1202#95—591no—
1203#95—591no—
1204#95—591no—
1205#95—591no—
1206#95—591no—
1207#95—591no—
1208#95—591no—
1209#95—591no—
1210#95—591no—
1211#95C22×D5911yescharacteristic
1212#95C22×D5911yescharacteristic
1213#95C22×D5911yescharacteristic
1214#95C22×D5911yescharacteristic
1215#95C22×D5911yescharacteristic
1216#95C22×D5911yescharacteristic
1217#95C22×D5911yescharacteristic
1218#95C22×D5911yescharacteristic
1219C24—591no—
1220C24—591no—
1221C24—591no—
1222C24—1182no—
1223C24—1182no—
1224C24—1182no—
1225C24—2361no—
1226C24—2361no—
1227C24—2361no—
1228C24—2361no—
1229C24C23×D5911yescharacteristic
1230C24C23×D5911yescharacteristic
1231C24C23×D5911yescharacteristic
1232C2×Q8—1182no—
1233C2×Q8—1182no—
1234C2×Q8—2361no—
1235C2×Q8—2361no—
1236C2×Q8—2361no—
1237C2×Q8—2361no—
1238C2×D4—22no—
1239C2×D4—22no—
1240C2×D4—22no—
1241C2×D4—22no—
1242C2×D4—22no—
1243C2×D4—22no—
1244C2×D4—41no—
1245C2×D4—41no—
1246C2×D4—1182no—
1247C2×D4—1182no—
1248C2×D4—1182no—
1249C2×D4—1182no—
1250C2×D4—1182no—
1251C2×D4—1182no—
1252C2×D4—1182no—
1253C2×D4—1182no—
1254C2×D4—1182no—
1255C2×D4—1182no—
1256C2×D4—1182no—
1257C2×D4—2361no—
1258C2×D4—2361no—
1259C2×D4—2361no—
1260C2×D4—2361no—
1261C2×D4—2361no—
1262C2×D4—2361no—
1263C2×D4—2361no—
1264C2×D4—2361no—
1265C2×D4—2361no—
1266C2×D4—2361no—
1267C2×D4—2361no—
1268C2×D4—2361no—
1269C2×D4—2361no—
1270C2×D4—2361no—
1271C2×D4—2361no—
1272C2×D4—2361no—
1273C2×D4D4×D5914yes—
1274C22×C4—22no—
1275C22×C4—22no—
1276C22×C4—22no—
1277C22×C4—22no—
1278C22×C4—22no—
1279C22×C4—22no—
1280C22×C4—22no—
1281C22×C4—22no—
1282C22×C4—41no—
1283C22×C4—41no—
1284C22×C4—41no—
1285C22×C4—41no—
1286C22×C4—591no—
1287C22×C4—591no—
1288C22×C4—591no—
1289C22×C4—591no—
1290C22×C4—591no—
1291C22×C4—591no—
1292C22×C4—594no—
1293C22×C4—594no—
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—1182no—
1303C22×C4—1182no—
1304C22×C4—1182no—
1305C22×C4—1182no—
1306C22×C4—2361no—
1307C22×C4—2361no—
1308C22×C4—2361no—
1309C22×C4—2361no—
1310C22×C4—2361no—
1311C22×C4—2361no—
1312C22×C4—2361no—
1313C22×C4—2361no—
1314C22×C4—2361no—
1315C22×C4—2361no—
1316C22×C4—2361no—
1317C22×C4—2361no—
1318C22×C4—2361no—
1319C22×C4—2361no—
1320C22×C4C23×D5911yescharacteristic
1321C22×C4C23×D5911yescharacteristic
1322C22×C4C23×D5911yescharacteristic
1323C22×C4C23×D5911yescharacteristic
1324C22×C4C23×D5911yescharacteristic
1325C22×C4C23×D5911yescharacteristic
1326C22×C4C23×D5911yescharacteristic
1327C22×C4C23×D5911yescharacteristic
1328C22×C4C23×D5911yescharacteristic
1329C22×C4C23×D5911yescharacteristic
1330C22×C4C23×D5911yescharacteristic
1331C22×C4C23×D5911yescharacteristic
1332C4⋊C4—22no—
1333C4⋊C4—22no—
1334C4⋊C4—22no—
1335C4⋊C4—22no—
1336C4⋊C4—22no—
1337C4⋊C4—22no—
1338C4⋊C4—41no—
1339C4⋊C4—41no—
1340C4⋊C4—594no—
1341C4⋊C4—1182no—
1342C4⋊C4—1182no—
1343C4⋊C4—1182no—
1344C4⋊C4—1182no—
1345C4⋊C4—1182no—
1346C4⋊C4—1182no—
1347C4⋊C4—1182no—
1348C4⋊C4—1182no—
1349C4⋊C4—1182no—
1350C4⋊C4—1182no—
1351C4⋊C4—1182no—
1352C4⋊C4—1182no—
1353C4⋊C4—1182no—
1354C4⋊C4—1182no—
1355C4⋊C4—1182no—
1356C4⋊C4—1182no—
1357C4⋊C4—1182no—
1358C4⋊C4—2361no—
1359C4⋊C4—2361no—
1360C4⋊C4—2361no—
1361C4⋊C4—2361no—
1362C22⋊C4—22no—
1363C22⋊C4—22no—
1364C22⋊C4—22no—
1365C22⋊C4—22no—
1366C22⋊C4—22no—
1367C22⋊C4—22no—
1368C22⋊C4—22no—
1369C22⋊C4—22no—
1370C22⋊C4—22no—
1371C22⋊C4—41no—
1372C22⋊C4—594no—
1373C22⋊C4—594no—
1374C22⋊C4—1182no—
1375C22⋊C4—1182no—
1376C22⋊C4—1182no—
1377C22⋊C4—1182no—
1378C22⋊C4—1182no—
1379C22⋊C4—1182no—
1380C22⋊C4—1182no—
1381C22⋊C4—1182no—
1382C22⋊C4—1182no—
1383C22⋊C4—1182no—
1384C22⋊C4—1182no—
1385C22⋊C4—1182no—
1386C22⋊C4—1182no—
1387C22⋊C4—1182no—
1388C22⋊C4—1182no—
1389C22⋊C4—1182no—
1390C22⋊C4—1182no—
1391C22⋊C4—1182no—
1392C22⋊C4—1182no—
1393C22⋊C4—1182no—
1394C22⋊C4—1182no—
1395C22⋊C4—1182no—
1396C22⋊C4—1182no—
1397C22⋊C4—1182no—
1398C22⋊C4—1182no—
1399C22⋊C4—1182no—
1400C22⋊C4—1182no—
1401C22⋊C4—1182no—
1402C22⋊C4—2361no—
1403C22⋊C4—2361no—
1404C22⋊C4—2361no—
1405C22⋊C4—2361no—
1406C22⋊C4—2361no—
1407C22⋊C4—2361no—
1408C22⋊C4—2361no—
1409C22⋊C4—2361no—
1410C22⋊C4—2361no—
1411C22⋊C4—2361no—
1412C22⋊C4—2361no—
1413C22⋊C4#1174568714yes—
1414C42—22no—
1415C42—594no—
1416C42—1182no—
1417C42—1182no—
1418C42—1182no—
1419C42—1182no—
1420C42—1182no—
1421C42—1182no—
1422C42—2361no—
1423C42—2361no—
1424C42—2361no—
1425C42—2361no—
1426C42—2361no—
1427C42—2361no—
1428C42—2361no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—1181no—
1447C23—1181no—
1448C23—1181no—
1449C23—1181no—
1450C23—1181no—
1451C23—1181no—
1452C23—1181no—
1453C23—1181no—
1454C23—1181no—
1455C23—1181no—
1456C23—1181no—
1457C23—1181no—
1458C23—1181no—
1459C23—1181no—
1460C23—1181no—
1461C23—1181no—
1462C23—1181no—
1463C23—1181no—
1464C23—1181no—
1465C23—1181no—
1466C23—1181no—
1467C23—4722no—
1468C23—4722no—
1469C23—4722no—
1470C23—4722no—
1471C23—2364no—
1472C23—2364no—
1473C23—2364no—
1474C23C2×D4×D5912yes—
1475C23C2×D4×D5912yes—
1476C23#41×D5912yes—
1477C23C2×#1174568712yes—
1478C23C24×D5911yescharacteristic
1479Q8—4722no—
1480Q8—4722no—
1481D4—28no—
1482D4—44no—
1483D4—82no—
1484D4—4722no—
1485D4—4722no—
1486D4—4722no—
1487D4—4722no—
1488D4—4722no—
1489D4—4722no—
1490D4—4722no—
1491D4—2364no—
1492D4—2364no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—44no—
1526C2×C4—44no—
1527C2×C4—44no—
1528C2×C4—82no—
1529C2×C4—592no—
1530C2×C4—592no—
1531C2×C4—592no—
1532C2×C4—592no—
1533C2×C4—592no—
1534C2×C4—592no—
1535C2×C4—1181no—
1536C2×C4—1181no—
1537C2×C4—1181no—
1538C2×C4—1181no—
1539C2×C4—1181no—
1540C2×C4—1181no—
1541C2×C4—1181no—
1542C2×C4—1181no—
1543C2×C4—1181no—
1544C2×C4—1181no—
1545C2×C4—1181no—
1546C2×C4—1181no—
1547C2×C4—1181no—
1548C2×C4—1181no—
1549C2×C4—1181no—
1550C2×C4—1181no—
1551C2×C4—1181no—
1552C2×C4—1181no—
1553C2×C4—1181no—
1554C2×C4—1181no—
1555C2×C4—1181no—
1556C2×C4—1181no—
1557C2×C4—1181no—
1558C2×C4—1181no—
1559C2×C4—1181no—
1560C2×C4—1181no—
1561C2×C4—1181no—
1562C2×C4—1181no—
1563C2×C4—1181no—
1564C2×C4—1181no—
1565C2×C4—1181no—
1566C2×C4—1181no—
1567C2×C4—1181no—
1568C2×C4—4722no—
1569C2×C4—4722no—
1570C2×C4—4722no—
1571C2×C4—2364no—
1572C2×C4—2364no—
1573C2×C4—2364no—
1574C2×C4—2364no—
1575C2×C4C2×D4×D5912yes—
1576C2×C4C2×#1174568712yes—
1577C2×C4C2×#1174568712yes—
1578C2×C4#1427377312yes—
1579C22—22no—
1580C22—22no—
1581C22—22no—
1582C22—22no—
1583C22—22no—
1584C22—22no—
1585C22—22no—
1586C22—22no—
1587C22—22no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—4728no—
1600C22—2361no—
1601C22—2361no—
1602C22—2361no—
1603C22—2361no—
1604C22—2361no—
1605C22—2361no—
1606C22—2361no—
1607C22—2361no—
1608C22—2361no—
1609C22—2361no—
1610C22—2361no—
1611C22—2361no—
1612C22—2361no—
1613C22—2361no—
1614C22—2361no—
1615C22—2361no—
1616C22—2361no—
1617C22—2361no—
1618C22—2361no—
1619C22—2361no—
1620C22—2361no—
1621C22#1683794714yes—
1622C22C22×D4×D5911yescharacteristic
1623C22C2×#41×D5911yescharacteristic
1624C22C22×#1174568711yescharacteristic
1625C22C2×#1427377311yescharacteristic
1626C22#1683823711yescharacteristic
1627C22#1683823811yescharacteristic
1628C22#1683823911yescharacteristic
1629C4—22no—
1630C4—22no—
1631C4—22no—
1632C4—22no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—1182no—
1642C4—1182no—
1643C4—1182no—
1644C4—1182no—
1645C4—1182no—
1646C4—1182no—
1647C4—2361no—
1648C4—2361no—
1649C4—2361no—
1650C4—2361no—
1651C4—2361no—
1652C4—2361no—
1653C4—2361no—
1654C2—24no—
1655C2—42no—
1656C2—81no—
1657C2—4721no—
1658C2—4721no—
1659C2—4721no—
1660C2C2×#1683794711yescharacteristic
1661C2#2143748211yescharacteristic
1662C2#2143750611yescharacteristic
1663C2#2143785411yescharacteristic
1664C2#2143788211yescharacteristic
1665C2#2143803711yescharacteristic
1666C2#2143816511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2425C2
hypercenter#2425D59
hypocenterC59#35009
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2425

Complements

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

NH ≅ G/Ntype
1. C2×#16837996C2semidirect
2. C2×#16837989C2semidirect
3. #21432465C2semidirect
4. #21432464C2semidirect
5. #21432428C2semidirect
6. #21432393C2semidirect
7. #21430254C2semidirect
8. #21430245C2semidirect
9. #21430234C2semidirect
10. #21430223C2semidirect
11. #21429235C2semidirect
12. #21429218C2semidirect
13. #21429203C2semidirect
14. #21429190C2semidirect
15. #21429109C2semidirect
16. #21429054C2semidirect
17. #21429026C2semidirect
18. #21428985C2semidirect
19. #21428795C2semidirect
20. #21428775C2semidirect
21. #21428422C2semidirect
22. #21428224C2semidirect
23. #21428106C2semidirect
24. #21428061C2semidirect
25. #21427626C2semidirect
26. #21426768C2semidirect
27. #21426753C2semidirect
28. #21426606C2semidirect
29. C2×#16837294C2semidirect
30. C4×D4×Dic59C2semidirect
31. C59×#2425C2semidirect
36. C2×#14273722C22semidirect
37. C2×#14273720C22semidirect
38. C2×#14273718C22semidirect
39. C2×#14273717C22semidirect
45. C2×#14273711C22semidirect
47. C2×#14273709C22semidirect
48. C2×#14273707C22semidirect
51. C2×#14273704C22semidirect
64. C2×(C22⋊D59)⋊C4C22semidirect
70. C22×C4×Dic59C22semidirect
71. #16837344C22semidirect
72. #16837343C22semidirect
75. #16837336C22semidirect
76. #16837335C22semidirect
77. #16837335C22semidirect
79. #16837331C22semidirect
80. #16837330C22semidirect
84. #16837323C22semidirect
85. #16837322C22semidirect
89. #16837318C22semidirect
94. #16837315C22semidirect
98. #16837310C22semidirect
99. #16837306C22semidirect
100. #16837306C22semidirect
101. #16837306C22semidirect
110. #16837302C22semidirect
111. #16837301C22semidirect
112. #16837301C22semidirect
113. #16837301C22semidirect
114. #16837299C22semidirect
115. #16837298C22semidirect
116. #16837296C22semidirect
117. #16837295C22semidirect
118. #16837295C22semidirect
128. #16837294C22semidirect
129. #16837294C22semidirect
135. #16837292C22semidirect
139. #16837291C22semidirect
140. #16837290C22semidirect
141. #16837288C22semidirect
142. #16837288C22semidirect
144. #16837282C22semidirect
152. #16837279C22semidirect
154. #16837277C22semidirect
155. #16837277C22semidirect
156. #16837266C22semidirect
160. C4⋊C4×Dic59C22semidirect
161. C4⋊C4×Dic59C22semidirect
162. C4×C4⋊Dic59C22semidirect
163. #16837253C22semidirect
166. C22⋊C4×Dic59C22semidirect
167. C22⋊C4×Dic59C22semidirect
168. C22⋊C4×Dic59C22semidirect
170. C4×C22⋊Dic59C22semidirect
171. #16837249C22semidirect
173. C42×Dic59C22semidirect
178. C59×#398C22semidirect
179. C59×#397C22semidirect
180. C59×#396C22semidirect
181. C59×#394C22semidirect
182. C59×#389C22semidirect
183. C59×#388C22semidirect
185. C59×#386C22semidirect
187. C59×#380C22semidirect
236. D4×Dic59D4semidirect
845. #2425D59semidirect
915. #398C2×D59semidirect
919. #397C2×D59semidirect
923. #396C2×D59semidirect
933. #394C2×D59semidirect
957. #389C2×D59semidirect
983. #388C2×D59semidirect
997. #386C2×D59semidirect
1005. #380C2×D59semidirect
1022. C59#35009semidirect

Maximal subgroups

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

subgroupindex
C2×#168379962
C2×#168379892
#214324652
#214324642
#214324282
#214323932
#214302542
#214302452
#214302342
#214302232
#214292352
#214292182
#214292032
#214291902
#214291092
#214290542
#214290262
#214289852
#214287952
#214287752
#214284222
#214282242
#214281062
#214280612
#214276262
#214267682
#214267532
#214266062
C2×#168372942
C4×D4×Dic592
C59×#24252
#3500959