Finite Group Databasebeta

← #28761389

Subgroups — #28761389

Order 15104.

2878 conjugacy classes of subgroups.

The subgroup lattice has 1724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837994C211yesmaximal, characteristic, complemented
2#21432411C211yesmaximal, characteristic, complemented
3#21432406C211yesmaximal, characteristic, complemented
4#21432388C211yesmaximal, characteristic, complemented
5#21432383C211yesmaximal, characteristic, complemented
6#21430013C211yesmaximal, characteristic, complemented
7#21429991C211yesmaximal, characteristic, complemented
8#21429964C211yesmaximal, characteristic, complemented
9#21429933C211yesmaximal, characteristic, complemented
10#21428336C211yesmaximal, characteristic, complemented
11#21428231C211yesmaximal, characteristic, complemented
12#21428126C211yesmaximal, characteristic, complemented
13#21428087C211yesmaximal, characteristic, complemented
14#21428042C211yesmaximal, characteristic, complemented
15#21427973C211yesmaximal, characteristic, complemented
16#21427905C211yesmaximal, characteristic, complemented
17#21427899C211yesmaximal, characteristic, complemented
18#21427825C211yesmaximal, characteristic, complemented
19#21427757C211yesmaximal, characteristic, complemented
20#21427641C211yesmaximal, characteristic, complemented
21#21427567C211yesmaximal, characteristic, complemented
22#21427558C211yesmaximal, characteristic, complemented
23#21427486C211yesmaximal, characteristic, complemented
24#21427470C211yesmaximal, characteristic
25#21427419C211yesmaximal, characteristic, complemented
26#21426794C211yesmaximal, characteristic, complemented
27#21426761C211yesmaximal, characteristic, complemented
28#21426729C211yesmaximal, characteristic, complemented
29C4×#14273696C211yesmaximal, characteristic, complemented
30C2×#16837275C211yesmaximal, characteristic, complemented
31C22×C4×D4×C59C211yesmaximal, characteristic, complemented
32#16837994—28no—
33C2×#14273721C2211yescharacteristic, complemented
34C2×#14273720C2211yescharacteristic, complemented
35C2×#14273719C2211yescharacteristic, complemented
36C2×#14273717C2211yescharacteristic, complemented
37C2×#14273711C2211yescharacteristic, complemented
38C2×#14273710C2211yescharacteristic, complemented
39C2×#14273710C2211yescharacteristic, complemented
40C2×#14273709C2211yescharacteristic, complemented
41C2×#14273708C2211yescharacteristic
42C2×#14273708C2211yescharacteristic
43C2×#14273706C2211yescharacteristic
44C2×#14273706C2211yescharacteristic, complemented
45C2×#14273706C2211yescharacteristic, complemented
46C2×#14273705C2211yescharacteristic, complemented
47C2×#14273704C2211yescharacteristic, complemented
48C2×#14273699C2211yescharacteristic
49C2×#14273699C2211yescharacteristic
50C2×#14273696C2211yescharacteristic
51C2×#14273696C2211yescharacteristic
52C2×C4×C22⋊D59C2211yescharacteristic
53C2×C4×C22⋊D59C2211yescharacteristic, complemented
54C2×C4×C22⋊D59C2211yescharacteristic, complemented
55C22×Dic59⋊C4C2211yescharacteristic, complemented
56C22×Dic59⋊C4C2211yescharacteristic, complemented
57C22×C22⋊Dic59C2211yescharacteristic
58C22×C22⋊Dic59C2211yescharacteristic
59#16837340C2211yescharacteristic, complemented
60#16837338C2211yescharacteristic, complemented
61#16837338C2211yescharacteristic, complemented
62#16837337C2211yescharacteristic, complemented
63#16837335C2211yescharacteristic, complemented
64#16837333C2211yescharacteristic, complemented
65#16837333C2211yescharacteristic, complemented
66#16837332C2211yescharacteristic, complemented
67#16837330C2211yescharacteristic, complemented
68#16837330C2211yescharacteristic, complemented
69#16837330C2211yescharacteristic, complemented
70#16837327C2211yescharacteristic, complemented
71#16837327C2211yescharacteristic, complemented
72#16837327C2211yescharacteristic, complemented
73#16837325C2211yescharacteristic, complemented
74#16837325C2211yescharacteristic, complemented
75#16837325C2211yescharacteristic, complemented
76#16837324C2211yescharacteristic, complemented
77#16837322C2211yescharacteristic, complemented
78#16837318C2211yescharacteristic, complemented
79#16837318C2211yescharacteristic, complemented
80#16837318C2211yescharacteristic, complemented
81#16837317C2211yescharacteristic, complemented
82#16837316C2211yescharacteristic
83#16837316C2211yescharacteristic
84#16837316C2211yescharacteristic
85#16837316C2211yescharacteristic
86#16837316C2211yescharacteristic
87#16837316C2211yescharacteristic
88#16837314C2211yescharacteristic, complemented
89#16837310C2211yescharacteristic
90#16837310C2211yescharacteristic
91#16837300C2211yescharacteristic, complemented
92#16837300C2211yescharacteristic, complemented
93#16837297C2211yescharacteristic, complemented
94#16837297C2211yescharacteristic, complemented
95#16837296C2211yescharacteristic, complemented
96#16837296C2211yescharacteristic, complemented
97#16837295C2211yescharacteristic, complemented
98#16837295C2211yescharacteristic, complemented
99#16837293C2211yescharacteristic, complemented
100#16837293C2211yescharacteristic, complemented
101#16837293C2211yescharacteristic, complemented
102#16837290C2211yescharacteristic, complemented
103#16837288C2211yescharacteristic, complemented
104#16837288C2211yescharacteristic, complemented
105#16837286C2211yescharacteristic, complemented
106#16837286C2211yescharacteristic, complemented
107#16837286C2211yescharacteristic, complemented
108#16837286C2211yescharacteristic, complemented
109#16837286C2211yescharacteristic, complemented
110#16837286C2211yescharacteristic, complemented
111#16837286C2211yescharacteristic, complemented
112#16837283C2211yescharacteristic, complemented
113#16837282C2211yescharacteristic
114#16837282C2211yescharacteristic
115#16837282C2211yescharacteristic
116#16837282C2211yescharacteristic
117#16837281C2211yescharacteristic
118#16837281C2211yescharacteristic
119#16837281C2211yescharacteristic
120#16837281C2211yescharacteristic
121#16837281C2211yescharacteristic, complemented
122#16837281C2211yescharacteristic, complemented
123#16837281C2211yescharacteristic, complemented
124#16837281C2211yescharacteristic, complemented
125#16837279C2211yescharacteristic, complemented
126#16837278C2211yescharacteristic, complemented
127#16837277C2211yescharacteristic, complemented
128#16837277C2211yescharacteristic, complemented
129#16837275C2211yescharacteristic
130#16837275C2211yescharacteristic
131#16837275C2211yescharacteristic
132#16837275C2211yescharacteristic
133#16837275C2211yescharacteristic
134#16837275C2211yescharacteristic
135#16837275C2211yescharacteristic
136#16837275C2211yescharacteristic
137#16837275C2211yescharacteristic
138#16837275C2211yescharacteristic
139#16837275C2211yescharacteristic, complemented
140#16837275C2211yescharacteristic, complemented
141#16837275C2211yescharacteristic, complemented
142#16837275C2211yescharacteristic, complemented
143#16837275C2211yescharacteristic, complemented
144#16837275C2211yescharacteristic, complemented
145#16837275C2211yescharacteristic, complemented
146#16837275C2211yescharacteristic, complemented
147#16837275C2211yescharacteristic, complemented
148#16837275C2211yescharacteristic, complemented
149#16837275C2211yescharacteristic, complemented
150#16837275C2211yescharacteristic, complemented
151#16837274C2211yescharacteristic, complemented
152#16837273C2211yescharacteristic, complemented
153#16837270C2211yescharacteristic, complemented
154#16837268C2211yescharacteristic, complemented
155#16837265C2211yescharacteristic, complemented
156#16837265C2211yescharacteristic, complemented
157#16837263C2211yescharacteristic, complemented
158#16837262C2211yescharacteristic
159#16837262C2211yescharacteristic
160#16837262C2211yescharacteristic
161#16837262C2211yescharacteristic, complemented
162#16837262C2211yescharacteristic, complemented
163#16837260C2211yescharacteristic, complemented
164#16837258C2211yescharacteristic
165#16837258C2211yescharacteristic
166#16837258C2211yescharacteristic
167#16837258C2211yescharacteristic
168C4×C22⋊Dic59C2211yescharacteristic
169C4×C22⋊Dic59C2211yescharacteristic, complemented
170C4×C22⋊Dic59C2211yescharacteristic, complemented
171C2×C59⋊#95C2211yescharacteristic, complemented
172C2×C59⋊#95C2211yescharacteristic, complemented
173C23×D4×C59C2211yescharacteristic
174C24×C4×C59C2211yescharacteristic
175C24×C4×C59C2211yescharacteristic
176C2×C4×D4×C59—28no—
177C2×C4×D4×C59C2211yescharacteristic
178C2×C4×D4×C59C2211yescharacteristic
179C2×C4×D4×C59C2211yescharacteristic
180C2×C4×D4×C59C2211yescharacteristic
181C2×C4×D4×C59C2211yescharacteristic
182C2×C4×D4×C59C2211yescharacteristic
183C2×C4×D4×C59C2211yescharacteristic
184C2×C4×D4×C59C2211yescharacteristic
185C22×C4⋊C4×C59C2211yescharacteristic
186C22×C22⋊C4×C59C2211yescharacteristic
187C22×C22⋊C4×C59C2211yescharacteristic
188C22×C42×C59C2211yescharacteristic
189C22×Dic118C2311yescharacteristic
190C22×C22⋊D59C2311yescharacteristic
191C22×C22⋊D59C2311yescharacteristic
192C22×C22⋊D59C2311yescharacteristic
193C22×C22⋊D59C2311yescharacteristic
194C22×C22⋊D59C2311yescharacteristic
195C23×Dic59C2311yescharacteristic
196C23×Dic59C2311yescharacteristic
197C23×Dic59C2311yescharacteristic
198C23×Dic59C2311yescharacteristic
199C22×C4×D59C2311yescharacteristic
200#14273721—24no—
201#14273720—24no—
202#14273719—24no—
203#14273717—24no—
204#14273711—24no—
205#14273710—24no—
206#14273710—42no—
207#14273709—24no—
208#14273708—24no—
209#14273708—24no—
210#14273706—24no—
211#14273706—42no—
212#14273706—42no—
213#14273705—24no—
214#14273704—24no—
215#14273699—24no—
216#14273699—24no—
217#14273696—24no—
218#14273696—42no—
219C4×C22⋊D59—24no—
220C4×C22⋊D59—42no—
221C4×C22⋊D59—42no—
222C2×C4⋊Dic59C2311yescharacteristic
223C2×C4⋊Dic59C2311yescharacteristic
224C2×C4⋊Dic59C2311yescharacteristic
225C2×C4⋊Dic59C2311yescharacteristic
226C2×C4⋊Dic59C2311yescharacteristic
227C2×C4⋊Dic59C2311yescharacteristic
228C2×C4⋊Dic59C2311yescharacteristic
229C2×Dic59⋊C4—24no—
230C2×Dic59⋊C4—42no—
231C2×Dic59⋊C4C2311yescharacteristic
232C2×Dic59⋊C4C2311yescharacteristic
233C2×Dic59⋊C4C2311yescharacteristic
234C2×Dic59⋊C4C2311yescharacteristic
235C2×Dic59⋊C4C2311yescharacteristic
236C2×Dic59⋊C4C2311yescharacteristic
237C2×Dic59⋊C4C2311yescharacteristic
238C2×Dic59⋊C4C2311yescharacteristic
239C2×Dic59⋊C4C2311yescharacteristic
240C2×Dic59⋊C4C2311yescharacteristic
241C2×Dic59⋊C4C2311yescharacteristic
242C2×Dic59⋊C4C2311yescharacteristic
243C2×Dic59⋊C4C2311yescharacteristic
244C2×Dic59⋊C4C2311yescharacteristic
245C2×Dic59⋊C4C2311yescharacteristic
246C2×Dic59⋊C4C2311yescharacteristic
247C2×Dic59⋊C4C2311yescharacteristic
248C2×Dic59⋊C4C2311yescharacteristic
249C2×Dic59⋊C4C2311yescharacteristic
250C2×Dic59⋊C4C2311yescharacteristic
251C2×Dic59⋊C4C2311yescharacteristic
252C2×Dic59⋊C4C2311yescharacteristic
253C2×Dic59⋊C4C2311yescharacteristic
254C2×C22⋊Dic59—24no—
255C2×C22⋊Dic59—42no—
256C2×C22⋊Dic59C2311yescharacteristic
257C2×C22⋊Dic59C2311yescharacteristic
258C2×C22⋊Dic59C2311yescharacteristic
259C2×C22⋊Dic59C2311yescharacteristic
260C2×C22⋊Dic59C2311yescharacteristic
261C2×C22⋊Dic59C2311yescharacteristic
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×C22⋊Dic59C2311yescharacteristic
273C2×C22⋊Dic59C2311yescharacteristic
274C2×C22⋊Dic59C2311yescharacteristic
275C2×C22⋊Dic59C2311yescharacteristic
276C2×C22⋊Dic59C2311yescharacteristic
277C2×C22⋊Dic59C2311yescharacteristic
278C2×C22⋊Dic59C2311yescharacteristic
279C2×C22⋊Dic59C2311yescharacteristic
280C2×C22⋊Dic59C2311yescharacteristic
281C2×C22⋊Dic59C2311yescharacteristic
282C2×C22⋊Dic59C2311yescharacteristic
283C2×C22⋊Dic59C2311yescharacteristic
284C2×C22⋊Dic59C2311yescharacteristic
285C2×C22⋊Dic59C2311yescharacteristic
286C2×C22⋊Dic59C2311yescharacteristic
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×C4×Dic59C2311yescharacteristic
297C2×C4×Dic59C2311yescharacteristic
298C2×C4×Dic59C2311yescharacteristic
299C59⋊#95C2311yescharacteristic
300C59⋊#95C2311yescharacteristic
301C59⋊#95C2311yescharacteristic
302C59⋊#95C2311yescharacteristic
303C59⋊#95C2311yescharacteristic
304C59⋊#95C2311yescharacteristic
305C59⋊#95C2311yescharacteristic
306C59⋊#95C2311yescharacteristic
307C59⋊#95C2311yescharacteristic
308C59⋊#95C2311yescharacteristic
309C59⋊#95C2311yescharacteristic
310C59⋊#95C2311yescharacteristic
311C59⋊#95C2311yescharacteristic
312C59⋊#95C2311yescharacteristic
313C59⋊#95C2311yescharacteristic
314C59⋊#95C2311yescharacteristic
315C59⋊#95C2311yescharacteristic
316C59⋊#95C2311yescharacteristic
317C59⋊#95C2311yescharacteristic
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
335C25×C59C2311yescharacteristic
336C25×C59C2311yescharacteristic
337C22×D4×C59—24no—
338C22×D4×C59—24no—
339C22×D4×C59—24no—
340C22×D4×C59C2311yescharacteristic
341C22×D4×C59C2311yescharacteristic
342C22×D4×C59C2311yescharacteristic
343C22×D4×C59C2311yescharacteristic
344C23×C4×C59—24no—
345C23×C4×C59—24no—
346C23×C4×C59—42no—
347C23×C4×C59—42no—
348C23×C4×C59—42no—
349C23×C4×C59—42no—
350C23×C4×C59C2311yescharacteristic
351C23×C4×C59C2311yescharacteristic
352C23×C4×C59C2311yescharacteristic
353C23×C4×C59C2311yescharacteristic
354C23×C4×C59C2311yescharacteristic
355C23×C4×C59C2311yescharacteristic
356C23×C4×C59C2311yescharacteristic
357C23×C4×C59C2311yescharacteristic
358C23×C4×C59C2311yescharacteristic
359C23×C4×C59C2311yescharacteristic
360C23×C4×C59C2311yescharacteristic
361C23×C4×C59C2311yescharacteristic
362C23×C4×C59C2311yescharacteristic
363C4×D4×C59—24no—
364C4×D4×C59—24no—
365C4×D4×C59—24no—
366C4×D4×C59—24no—
367C4×D4×C59—24no—
368C4×D4×C59—24no—
369C4×D4×C59—24no—
370C4×D4×C59D418yescomplemented
371C2×C4⋊C4×C59—24no—
372C2×C4⋊C4×C59C2311yescharacteristic
373C2×C4⋊C4×C59C2311yescharacteristic
374C2×C4⋊C4×C59C2311yescharacteristic
375C2×C4⋊C4×C59C2311yescharacteristic
376C2×C22⋊C4×C59—24no—
377C2×C22⋊C4×C59—24no—
378C2×C22⋊C4×C59C2311yescharacteristic
379C2×C22⋊C4×C59C2311yescharacteristic
380C2×C22⋊C4×C59C2311yescharacteristic
381C2×C22⋊C4×C59C2311yescharacteristic
382C2×C22⋊C4×C59C2311yescharacteristic
383C2×C22⋊C4×C59C2311yescharacteristic
384C2×C22⋊C4×C59C2311yescharacteristic
385C2×C22⋊C4×C59C2311yescharacteristic
386C2×C42×C59—24no—
387C2×C42×C59C2311yescharacteristic
388C2×C42×C59C2311yescharacteristic
389C2×C42×C59C2311yescharacteristic
390C2×C42×C59C2311yescharacteristic
391C24×C59—22no—
392C24×C59—22no—
393C24×C59—22no—
394C24×C59—22no—
395C24×C59—22no—
396C24×C59—22no—
397C24×C59—22no—
398C24×C59—22no—
399C24×C59—22no—
400C24×C59—41no—
401C24×C59—41no—
402C24×C59—41no—
403C24×C59—41no—
404C24×C59#4114yes—
405C24×C59C2411yescharacteristic
406C24×C59C2411yescharacteristic
407C24×C59C2411yescharacteristic
408C24×C59C2411yescharacteristic
409C24×C59C2411yescharacteristic
410C23×D59C2411yescharacteristic
411C2×D4×C59—232no—
412C2×D4×C59—22no—
413C2×D4×C59—22no—
414C2×D4×C59—22no—
415C2×D4×C59—22no—
416C2×D4×C59—22no—
417C2×D4×C59—22no—
418C2×D4×C59—22no—
419C2×D4×C59—22no—
420C2×D4×C59—22no—
421C2×D4×C59—22no—
422C2×D4×C59C2×D414yes—
423C2×D4×C59#4114yes—
424C22×C4×C59—22no—
425C22×C4×C59—22no—
426C22×C4×C59—22no—
427C22×C4×C59—22no—
428C22×C4×C59—22no—
429C22×C4×C59—22no—
430C22×C4×C59—22no—
431C22×C4×C59—22no—
432C22×C4×C59—22no—
433C22×C4×C59—22no—
434C22×C4×C59—22no—
435C22×C4×C59—22no—
436C22×C4×C59—22no—
437C22×C4×C59—22no—
438C22×C4×C59—22no—
439C22×C4×C59—22no—
440C22×C4×C59—22no—
441C22×C4×C59—22no—
442C22×C4×C59—22no—
443C22×C4×C59—22no—
444C22×C4×C59—22no—
445C22×C4×C59—22no—
446C22×C4×C59—41no—
447C22×C4×C59—41no—
448C22×C4×C59—41no—
449C22×C4×C59—41no—
450C22×C4×C59—41no—
451C22×C4×C59—41no—
452C22×C4×C59—41no—
453C22×C4×C59—41no—
454C22×C4×C59—41no—
455C22×C4×C59—41no—
456C22×C4×C59—41no—
457C22×C4×C59—41no—
458C22×C4×C59—41no—
459C22×C4×C59—41no—
460C22×C4×C59—41no—
461C22×C4×C59—416no—
462C22×C4×C59—416no—
463C22×C4×C59C2×D414yes—
464C22×C4×C59C2×D414yes—
465C22×C4×C59C2411yescharacteristic
466C22×C4×C59C2411yescharacteristic
467C22×C4×C59C2411yescharacteristic
468C22×C4×C59C2411yescharacteristic
469C22×C4×C59C2411yescharacteristic
470C22×C4×C59C2411yescharacteristic
471C22×C4×C59C2411yescharacteristic
472C22×C4×C59C2411yescharacteristic
473C22×C4×C59C2411yescharacteristic
474C22×C4×C59C2411yescharacteristic
475C2×C22⋊D59—22no—
476C2×C22⋊D59—22no—
477C2×C22⋊D59—22no—
478C2×C22⋊D59—22no—
479C2×C22⋊D59—22no—
480C2×C22⋊D59—22no—
481C2×C22⋊D59—22no—
482C2×C22⋊D59—22no—
483C2×C22⋊D59—22no—
484C2×C22⋊D59—41no—
485C2×C22⋊D59—41no—
486C2×C22⋊D59—41no—
487C2×C22⋊D59—41no—
488C2×C22⋊D59—41no—
489C2×C22⋊D59—41no—
490C22×Dic59—22no—
491C22×Dic59—22no—
492C22×Dic59—22no—
493C22×Dic59—22no—
494C22×Dic59—22no—
495C22×Dic59—22no—
496C22×Dic59—41no—
497C22×Dic59—41no—
498C22×Dic59—41no—
499C22×Dic59—41no—
500C22×Dic59—41no—
501C22×Dic59—41no—
502C22×Dic59C2411yescharacteristic
503C22×Dic59C2411yescharacteristic
504C22×Dic59C2411yescharacteristic
505C22×Dic59C2411yescharacteristic
506C22×Dic59C2411yescharacteristic
507C22×Dic59C2411yescharacteristic
508C22×Dic59C2411yescharacteristic
509C22×Dic59C2411yescharacteristic
510C22×Dic59C2411yescharacteristic
511C22×Dic59C2411yescharacteristic
512C22×Dic59C2411yescharacteristic
513C22×Dic59C2411yescharacteristic
514C22×Dic59C2411yescharacteristic
515C22×Dic59C2411yescharacteristic
516C22×Dic59C2411yescharacteristic
517C2×C4×D59—22no—
518C2×C4×D59—41no—
519C2×C4×D59—41no—
520C2×Dic118—22no—
521C2×Dic118—41no—
522C2×Dic118—41no—
523C4⋊C4×C59—22no—
524C4⋊C4×C59—22no—
525C4⋊C4×C59—22no—
526C4⋊C4×C59C2×D414yes—
527C22⋊C4×C59—22no—
528C22⋊C4×C59—22no—
529C22⋊C4×C59—22no—
530C22⋊C4×C59—22no—
531C22⋊C4×C59—22no—
532C22⋊C4×C59—22no—
533C22⋊C4×C59C2×D414yes—
534C22⋊C4×C59C2×D414yes—
535C42×C59—22no—
536C42×C59—22no—
537C42×C59—22no—
538C42×C59C2×D414yes—
539C22⋊Dic59—22no—
540C22⋊Dic59—22no—
541C22⋊Dic59—22no—
542C22⋊Dic59—22no—
543C22⋊Dic59—22no—
544C22⋊Dic59—22no—
545C22⋊Dic59—22no—
546C22⋊Dic59—22no—
547C22⋊Dic59—22no—
548C22⋊Dic59—22no—
549C22⋊Dic59—22no—
550C22⋊Dic59—22no—
551C22⋊Dic59—22no—
552C22⋊Dic59—22no—
553C22⋊Dic59—22no—
554C22⋊Dic59—22no—
555C22⋊Dic59—22no—
556C22⋊Dic59—22no—
557C22⋊Dic59—22no—
558C22⋊Dic59—41no—
559C22⋊Dic59—41no—
560C22⋊Dic59—41no—
561C22⋊Dic59—41no—
562C22⋊Dic59—41no—
563C22⋊Dic59—41no—
564C22⋊Dic59—41no—
565C22⋊Dic59—41no—
566C22⋊Dic59—41no—
567C22⋊Dic59—41no—
568C22⋊Dic59—41no—
569C22⋊Dic59—41no—
570(C2×D59)⋊C4—22no—
571(C2×D59)⋊C4—22no—
572(C2×D59)⋊C4—22no—
573(C2×D59)⋊C4—22no—
574(C2×D59)⋊C4—22no—
575(C2×D59)⋊C4—22no—
576(C2×D59)⋊C4—41no—
577(C2×D59)⋊C4—41no—
578(C2×D59)⋊C4—41no—
579C4⋊Dic59—22no—
580C4⋊Dic59—22no—
581C4⋊Dic59—22no—
582C4⋊Dic59—41no—
583C4⋊Dic59—41no—
584C4⋊Dic59—41no—
585C4⋊Dic59—41no—
586Dic59⋊C4—22no—
587Dic59⋊C4—22no—
588Dic59⋊C4—22no—
589Dic59⋊C4—22no—
590Dic59⋊C4—22no—
591Dic59⋊C4—22no—
592Dic59⋊C4—22no—
593Dic59⋊C4—22no—
594Dic59⋊C4—22no—
595Dic59⋊C4—22no—
596Dic59⋊C4—22no—
597Dic59⋊C4—22no—
598Dic59⋊C4—22no—
599Dic59⋊C4—22no—
600Dic59⋊C4—22no—
601Dic59⋊C4—22no—
602Dic59⋊C4—41no—
603Dic59⋊C4—41no—
604Dic59⋊C4—41no—
605Dic59⋊C4—41no—
606Dic59⋊C4—41no—
607Dic59⋊C4—41no—
608Dic59⋊C4—41no—
609C4×Dic59—22no—
610C4×Dic59—41no—
611C4×Dic59—41no—
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—28no—
621C23×C59—28no—
622C23×C59—28no—
623C23×C59—21no—
624C23×C59—21no—
625C23×C59—21no—
626C23×C59—21no—
627C23×C59—21no—
628C23×C59—21no—
629C23×C59—21no—
630C23×C59—21no—
631C23×C59—21no—
632C23×C59—21no—
633C23×C59—21no—
634C23×C59—21no—
635C23×C59—21no—
636C23×C59—21no—
637C23×C59—21no—
638C23×C59—21no—
639C23×C59—21no—
640C23×C59—21no—
641C23×C59—44no—
642C23×C59—44no—
643C23×C59—44no—
644C23×C59—44no—
645C23×C59—44no—
646C23×C59—44no—
647C23×C59—44no—
648C23×C59—44no—
649C23×C59—44no—
650C23×C59—44no—
651C23×C59—44no—
652C23×C59C22×D412yes—
653C23×C59C22×D412yes—
654C23×C59C2×#4112yes—
655C23×C59C2×#4112yes—
656C23×C59C2×#4112yes—
657C23×C59C2×#4112yes—
658C23×C59C2×#4112yes—
659C23×C59H(5,𝔽2)12yes—
660C23×C592−1+412yes—
661C23×C59C2511yescharacteristic
662C22×D59—21no—
663C22×D59—21no—
664C22×D59—21no—
665C22×D59—21no—
666C22×D59—21no—
667C22×D59—21no—
668C22×D59—21no—
669D4×C59—28no—
670D4×C59—28no—
671D4×C59—28no—
672D4×C59—28no—
673C2×C4×C59—28no—
674C2×C4×C59—28no—
675C2×C4×C59—21no—
676C2×C4×C59—21no—
677C2×C4×C59—21no—
678C2×C4×C59—21no—
679C2×C4×C59—21no—
680C2×C4×C59—21no—
681C2×C4×C59—21no—
682C2×C4×C59—21no—
683C2×C4×C59—21no—
684C2×C4×C59—21no—
685C2×C4×C59—21no—
686C2×C4×C59—21no—
687C2×C4×C59—21no—
688C2×C4×C59—21no—
689C2×C4×C59—21no—
690C2×C4×C59—21no—
691C2×C4×C59—21no—
692C2×C4×C59—21no—
693C2×C4×C59—21no—
694C2×C4×C59—21no—
695C2×C4×C59—21no—
696C2×C4×C59—21no—
697C2×C4×C59—21no—
698C2×C4×C59—44no—
699C2×C4×C59—44no—
700C2×C4×C59—44no—
701C2×C4×C59—44no—
702C2×C4×C59—44no—
703C2×C4×C59—44no—
704C2×C4×C59—44no—
705C2×C4×C59—44no—
706C2×C4×C59—44no—
707C2×C4×C59—44no—
708C2×C4×C59—44no—
709C2×C4×C59C22×D412yes—
710C2×C4×C59C22×D412yes—
711C2×C4×C59C22×D412yes—
712C2×C4×C59C22×D412yes—
713C2×C4×C59C22×D412yes—
714C2×C4×C59C2×#4112yes—
715C2×C4×C59H(5,𝔽2)12yes—
716C22⋊D59—44no—
717C22⋊D59—44no—
718C22⋊D59—44no—
719C22⋊D59—82no—
720C22⋊D59—82no—
721C2×Dic59—21no—
722C2×Dic59—21no—
723C2×Dic59—21no—
724C2×Dic59—21no—
725C2×Dic59—21no—
726C2×Dic59—21no—
727C2×Dic59—21no—
728C2×Dic59—21no—
729C2×Dic59—21no—
730C2×Dic59—21no—
731C2×Dic59—21no—
732C2×Dic59—21no—
733C2×Dic59—21no—
734C2×Dic59—21no—
735C2×Dic59—21no—
736C2×Dic59—21no—
737C2×Dic59—21no—
738C2×Dic59—21no—
739C2×Dic59—21no—
740C2×Dic59—21no—
741C2×Dic59—21no—
742C2×Dic59—21no—
743C2×Dic59—21no—
744C2×Dic59—21no—
745C2×Dic59—21no—
746C2×Dic59—21no—
747C2×Dic59—21no—
748C2×Dic59—21no—
749C2×Dic59—21no—
750C2×Dic59—21no—
751C2×Dic59—21no—
752C2×Dic59—21no—
753C2×Dic59—21no—
754C2×Dic59—21no—
755C2×Dic59—21no—
756C2×Dic59—21no—
757C2×Dic59—21no—
758C2×Dic59—21no—
759C2×Dic59—21no—
760C2×Dic59—21no—
761C2×Dic59—21no—
762C2×Dic59—21no—
763C2×Dic59—21no—
764C2×Dic59—21no—
765C2×Dic59—21no—
766C2×Dic59—44no—
767C2×Dic59—44no—
768C2×Dic59—82no—
769C2×Dic59—82no—
770C4×D59—82no—
771Dic118—82no—
772#34991—591nomaximal, Sylow
773C22×C59—22no—
774C22×C59—22no—
775C22×C59—22no—
776C22×C59—22no—
777C22×C59—22no—
778C22×C59—22no—
779C22×C59—22no—
780C22×C59—22no—
781C22×C59—22no—
782C22×C59—22no—
783C22×C59—22no—
784C22×C59—22no—
785C22×C59—22no—
786C22×C59—22no—
787C22×C59—22no—
788C22×C59—22no—
789C22×C59—22no—
790C22×C59—22no—
791C22×C59—22no—
792C22×C59—22no—
793C22×C59—22no—
794C22×C59—416no—
795C22×C59—416no—
796C22×C59—41no—
797C22×C59—41no—
798C22×C59—41no—
799C22×C59—41no—
800C22×C59—41no—
801C22×C59—41no—
802C22×C59—41no—
803C22×C59—41no—
804C22×C59—41no—
805C22×C59—41no—
806C22×C59—41no—
807C22×C59—41no—
808C22×C59#52514yes—
809C22×C59#53914yescomplemented
810C22×C59C23×D411yescharacteristic
811C22×C59C22×#4111yescharacteristic
812C22×C59C22×#4111yescharacteristic
813C22×C59C2×H(5,𝔽2)11yescharacteristic
814C22×C59C2×H(5,𝔽2)11yescharacteristic
815C22×C59C2×2−1+411yescharacteristic
816C22×C59#58511yescharacteristic
817C2×D59—41no—
818C2×D59—41no—
819C2×D59—41no—
820C2×D59—41no—
821C2×D59—41no—
822C2×D59—41no—
823C2×D59—41no—
824C4×C59—22no—
825C4×C59—22no—
826C4×C59—22no—
827C4×C59—22no—
828C4×C59—22no—
829C4×C59—22no—
830C4×C59—22no—
831C4×C59—41no—
832C4×C59—41no—
833C4×C59—41no—
834Dic59—41no—
835Dic59—41no—
836Dic59—41no—
837Dic59—41no—
838Dic59—41no—
839Dic59—41no—
840Dic59—41no—
841Dic59—41no—
842Dic59—41no—
843Dic59—41no—
844Dic59—41no—
845Dic59—41no—
846Dic59—41no—
847Dic59—41no—
848Dic59—41no—
849C2×#539—591no—
850C22×C4×D4D5911yescharacteristic, complemented
851#2852—591no—
852#2851—591no—
853#2849—591no—
854#2848—591no—
855#2638—591no—
856#2636—591no—
857#2633—591no—
858#2630—591no—
859#2480—591no—
860#2473—591no—
861#2466—591no—
862#2463—591no—
863#2460—591no—
864#2455—591no—
865#2449—591no—
866#2449—591no—
867#2443—591no—
868#2437—591no—
869#2425—591no—
870#2419—591no—
871#2418—591no—
872#2412—591no—
873#2410—591no—
874#2405—591no—
875#2325—591no—
876#2322—591no—
877#2318—591no—
878C4×#120—591no—
879C2×#385—591no—
880C2×C59—24no—
881C2×C59—24no—
882C2×C59—42no—
883C2×C59—42no—
884C2×C59—42no—
885C2×C59C2×#52511yescharacteristic
886C2×C59C2×#53911yescharacteristic
887C2×C59#345911yescharacteristic
888C2×C59#348411yescharacteristic
889C2×C59#348911yescharacteristic
890C2×C59#351311yescharacteristic
891C2×C59#352011yescharacteristic
892D59—81no—
893C23×D4C2×D5911yescharacteristic
894C24×C4C2×D5911yescharacteristic
895C24×C4C2×D5911yescharacteristic
896#539—1188no—
897C2×#126—591no—
898C2×#126—591no—
899C2×#125—591no—
900C2×#125—591no—
901C2×#123—591no—
902C2×#123—591no—
903C2×#123—591no—
904C2×#123—591no—
905C2×#123—591no—
906C2×#123—591no—
907C2×C22⋊Q8—591no—
908C2×C22⋊Q8—591no—
909C2×C22⋊Q8—591no—
910C2×C22⋊Q8—591no—
911C2×C22⋊Q8—591no—
912C2×#121—591no—
913C2×#121—591no—
914C2×#120—591no—
915C2×#120—591no—
916C2×C4×D4—28no—
917C2×C4×D4—591no—
918C2×C4×D4—591no—
919C2×C4×D4—591no—
920C2×C4×D4C2×D5911yescharacteristic
921C2×C4×D4C2×D5911yescharacteristic
922C2×C4×D4C2×D5911yescharacteristic
923C2×C4×D4C2×D5911yescharacteristic
924C2×C4×D4C2×D5911yescharacteristic
925C2×C4×D4C2×D5911yescharacteristic
926C2×C4×D4C2×D5911yescharacteristic
927C2×C4×D4C2×D5911yescharacteristic
928C22×C4⋊C4—591no—
929C22×C4⋊C4—591no—
930C22×C4⋊C4C2×D5911yescharacteristic
931C22×C22⋊C4—591no—
932C22×C22⋊C4—591no—
933C22×C22⋊C4C2×D5911yescharacteristic
934C22×C22⋊C4C2×D5911yescharacteristic
935C22×C42C2×D5911yescharacteristic
936#400—591no—
937#399—591no—
938#399—591no—
939#399—591no—
940#398—591no—
941#398—591no—
942#398—591no—
943#398—591no—
944#397—591no—
945#397—591no—
946#397—591no—
947#397—591no—
948#397—591no—
949#397—591no—
950#396—591no—
951#396—591no—
952#396—591no—
953#396—591no—
954#395—591no—
955#394—591no—
956#394—591no—
957#394—591no—
958#394—591no—
959#394—591no—
960#394—591no—
961#394—591no—
962#394—591no—
963#394—591no—
964#394—591no—
965#393—591no—
966#392—591no—
967#392—591no—
968#389—591no—
969#389—591no—
970#389—591no—
971#389—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#387—591no—
985#387—591no—
986#387—591no—
987#387—591no—
988#387—591no—
989#387—591no—
990#386—591no—
991#386—591no—
992#386—591no—
993#386—591no—
994#386—591no—
995#386—591no—
996#386—591no—
997#386—591no—
998#386—591no—
999#386—591no—
1000#386—591no—
1001#386—591no—
1002#386—591no—
1003#386—591no—
1004#385—591no—
1005#385—591no—
1006#385—591no—
1007#385—591no—
1008#385—591no—
1009#385—591no—
1010#385—591no—
1011#385—591no—
1012#385—591no—
1013#385—591no—
1014#385—591no—
1015#385—591no—
1016#385—591no—
1017#385—591no—
1018#385—591no—
1019#385—591no—
1020#385—591no—
1021#385—591no—
1022#385—591no—
1023#385—591no—
1024#385—591no—
1025#385—591no—
1026#385—591no—
1027#385—591no—
1028#385—591no—
1029#385—591no—
1030#383—591no—
1031#382—591no—
1032#381—591no—
1033#381—591no—
1034#381—591no—
1035#380—591no—
1036#380—591no—
1037#380—591no—
1038#380—591no—
1039#380—591no—
1040#380—591no—
1041#379—591no—
1042#379—591no—
1043#379—591no—
1044#379—591no—
1045C4×C22⋊C4—591no—
1046C4×C22⋊C4—591no—
1047C4×C22⋊C4—591no—
1048C2×#95—591no—
1049C2×#95—591no—
1050C59#3499111yescharacteristic, complemented, Sylow
1051C25C22×D5911yescharacteristic
1052C25C22×D5911yescharacteristic
1053C22×Q8—591no—
1054C22×D4—24no—
1055C22×D4—24no—
1056C22×D4—24no—
1057C22×D4—591no—
1058C22×D4—591no—
1059C22×D4—591no—
1060C22×D4—591no—
1061C22×D4—591no—
1062C22×D4C22×D5911yescharacteristic
1063C22×D4C22×D5911yescharacteristic
1064C22×D4C22×D5911yescharacteristic
1065C22×D4C22×D5911yescharacteristic
1066C23×C4—24no—
1067C23×C4—24no—
1068C23×C4—42no—
1069C23×C4—42no—
1070C23×C4—42no—
1071C23×C4—42no—
1072C23×C4—591no—
1073C23×C4—591no—
1074C23×C4—591no—
1075C23×C4—591no—
1076C23×C4—591no—
1077C23×C4C22×D5911yescharacteristic
1078C23×C4C22×D5911yescharacteristic
1079C23×C4C22×D5911yescharacteristic
1080C23×C4C22×D5911yescharacteristic
1081C23×C4C22×D5911yescharacteristic
1082C23×C4C22×D5911yescharacteristic
1083C23×C4C22×D5911yescharacteristic
1084C23×C4C22×D5911yescharacteristic
1085C23×C4C22×D5911yescharacteristic
1086C23×C4C22×D5911yescharacteristic
1087C23×C4C22×D5911yescharacteristic
1088C23×C4C22×D5911yescharacteristic
1089C23×C4C22×D5911yescharacteristic
1090#126—1184no—
1091#126—1184no—
1092#125—1184no—
1093#125—1184no—
1094#123—1184no—
1095#123—1184no—
1096#123—1184no—
1097#123—1184no—
1098#123—1184no—
1099#123—2362no—
1100C22⋊Q8—1184no—
1101C22⋊Q8—1184no—
1102C22⋊Q8—1184no—
1103C22⋊Q8—2362no—
1104C22⋊Q8—2362no—
1105#121—1184no—
1106#121—1184no—
1107#120—1184no—
1108#120—2362no—
1109C4×D4—24no—
1110C4×D4—24no—
1111C4×D4—24no—
1112C4×D4—24no—
1113C4×D4—24no—
1114C4×D4—24no—
1115C4×D4—24no—
1116C4×D4—1184no—
1117C4×D4—2362no—
1118C4×D4—2362no—
1119C4×D4C22⋊D5918yescomplemented
1120C2×C4⋊C4—24no—
1121C2×C4⋊C4—591no—
1122C2×C4⋊C4—591no—
1123C2×C4⋊C4—591no—
1124C2×C4⋊C4—591no—
1125C2×C4⋊C4—591no—
1126C2×C4⋊C4—591no—
1127C2×C4⋊C4—591no—
1128C2×C4⋊C4—591no—
1129C2×C4⋊C4—591no—
1130C2×C4⋊C4—591no—
1131C2×C4⋊C4—591no—
1132C2×C4⋊C4—591no—
1133C2×C4⋊C4—591no—
1134C2×C4⋊C4—591no—
1135C2×C4⋊C4—591no—
1136C2×C4⋊C4—591no—
1137C2×C4⋊C4—591no—
1138C2×C4⋊C4—591no—
1139C2×C4⋊C4—591no—
1140C2×C4⋊C4—591no—
1141C2×C4⋊C4—591no—
1142C2×C4⋊C4—591no—
1143C2×C4⋊C4—591no—
1144C2×C4⋊C4—591no—
1145C2×C4⋊C4—591no—
1146C2×C4⋊C4—591no—
1147C2×C4⋊C4—591no—
1148C2×C4⋊C4—591no—
1149C2×C4⋊C4—591no—
1150C2×C4⋊C4—591no—
1151C2×C4⋊C4—1184no—
1152C2×C4⋊C4—2362no—
1153C2×C4⋊C4C22×D5911yescharacteristic
1154C2×C4⋊C4C22×D5911yescharacteristic
1155C2×C4⋊C4C22×D5911yescharacteristic
1156C2×C4⋊C4C22×D5911yescharacteristic
1157C2×C22⋊C4—24no—
1158C2×C22⋊C4—24no—
1159C2×C22⋊C4—591no—
1160C2×C22⋊C4—591no—
1161C2×C22⋊C4—591no—
1162C2×C22⋊C4—591no—
1163C2×C22⋊C4—591no—
1164C2×C22⋊C4—591no—
1165C2×C22⋊C4—591no—
1166C2×C22⋊C4—591no—
1167C2×C22⋊C4—591no—
1168C2×C22⋊C4—591no—
1169C2×C22⋊C4—591no—
1170C2×C22⋊C4—591no—
1171C2×C22⋊C4—591no—
1172C2×C22⋊C4—591no—
1173C2×C22⋊C4—591no—
1174C2×C22⋊C4—591no—
1175C2×C22⋊C4—591no—
1176C2×C22⋊C4—591no—
1177C2×C22⋊C4—591no—
1178C2×C22⋊C4—591no—
1179C2×C22⋊C4—591no—
1180C2×C22⋊C4—591no—
1181C2×C22⋊C4—591no—
1182C2×C22⋊C4—591no—
1183C2×C22⋊C4—591no—
1184C2×C22⋊C4—591no—
1185C2×C22⋊C4—591no—
1186C2×C22⋊C4—591no—
1187C2×C22⋊C4—591no—
1188C2×C22⋊C4—591no—
1189C2×C22⋊C4—591no—
1190C2×C22⋊C4—591no—
1191C2×C22⋊C4—591no—
1192C2×C22⋊C4—591no—
1193C2×C22⋊C4—591no—
1194C2×C22⋊C4—591no—
1195C2×C22⋊C4—591no—
1196C2×C22⋊C4—591no—
1197C2×C22⋊C4—591no—
1198C2×C22⋊C4—591no—
1199C2×C22⋊C4—1184no—
1200C2×C22⋊C4—2362no—
1201C2×C22⋊C4C22×D5911yescharacteristic
1202C2×C22⋊C4C22×D5911yescharacteristic
1203C2×C22⋊C4C22×D5911yescharacteristic
1204C2×C22⋊C4C22×D5911yescharacteristic
1205C2×C22⋊C4C22×D5911yescharacteristic
1206C2×C22⋊C4C22×D5911yescharacteristic
1207C2×C22⋊C4C22×D5911yescharacteristic
1208C2×C22⋊C4C22×D5911yescharacteristic
1209C2×C42—24no—
1210C2×C42—591no—
1211C2×C42—591no—
1212C2×C42—591no—
1213C2×C42C22×D5911yescharacteristic
1214C2×C42C22×D5911yescharacteristic
1215C2×C42C22×D5911yescharacteristic
1216C2×C42C22×D5911yescharacteristic
1217#95—591no—
1218#95—591no—
1219#95—591no—
1220#95—591no—
1221#95—591no—
1222#95—591no—
1223#95—591no—
1224#95—591no—
1225#95—591no—
1226#95—591no—
1227#95—591no—
1228#95—591no—
1229#95—591no—
1230#95—591no—
1231#95—591no—
1232#95—591no—
1233#95—591no—
1234#95—591no—
1235#95—591no—
1236#95—591no—
1237#95—591no—
1238#95—591no—
1239#95—591no—
1240#95—591no—
1241#95—591no—
1242#95—591no—
1243#95—591no—
1244#95—591no—
1245#95—591no—
1246#95—591no—
1247#95—591no—
1248#95—591no—
1249#95—591no—
1250#95—591no—
1251#95—591no—
1252#95—591no—
1253C24—22no—
1254C24—22no—
1255C24—22no—
1256C24—22no—
1257C24—22no—
1258C24—22no—
1259C24—22no—
1260C24—22no—
1261C24—22no—
1262C24—41no—
1263C24—41no—
1264C24—41no—
1265C24—41no—
1266C24—591no—
1267C24#1174568514yes—
1268C24C23×D5911yescharacteristic
1269C24C23×D5911yescharacteristic
1270C24C23×D5911yescharacteristic
1271C24C23×D5911yescharacteristic
1272C24C23×D5911yescharacteristic
1273C2×Q8—1182no—
1274C2×Q8—2361no—
1275C2×Q8—2361no—
1276C2×D4—232no—
1277C2×D4—22no—
1278C2×D4—22no—
1279C2×D4—22no—
1280C2×D4—22no—
1281C2×D4—22no—
1282C2×D4—22no—
1283C2×D4—22no—
1284C2×D4—22no—
1285C2×D4—22no—
1286C2×D4—22no—
1287C2×D4—1182no—
1288C2×D4—1182no—
1289C2×D4—1182no—
1290C2×D4—1182no—
1291C2×D4—1182no—
1292C2×D4—1182no—
1293C2×D4—1182no—
1294C2×D4—1182no—
1295C2×D4—1182no—
1296C2×D4—2361no—
1297C2×D4—2361no—
1298C2×D4—2361no—
1299C2×D4—2361no—
1300C2×D4—2361no—
1301C2×D4—2361no—
1302C2×D4#1174568514yes—
1303C2×D4C2×C22⋊D5914yes—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—22no—
1311C22×C4—22no—
1312C22×C4—22no—
1313C22×C4—22no—
1314C22×C4—22no—
1315C22×C4—22no—
1316C22×C4—22no—
1317C22×C4—22no—
1318C22×C4—22no—
1319C22×C4—22no—
1320C22×C4—22no—
1321C22×C4—22no—
1322C22×C4—22no—
1323C22×C4—22no—
1324C22×C4—22no—
1325C22×C4—22no—
1326C22×C4—41no—
1327C22×C4—41no—
1328C22×C4—41no—
1329C22×C4—41no—
1330C22×C4—41no—
1331C22×C4—41no—
1332C22×C4—41no—
1333C22×C4—41no—
1334C22×C4—41no—
1335C22×C4—41no—
1336C22×C4—41no—
1337C22×C4—41no—
1338C22×C4—41no—
1339C22×C4—41no—
1340C22×C4—41no—
1341C22×C4—416no—
1342C22×C4—416no—
1343C22×C4—591no—
1344C22×C4—591no—
1345C22×C4—591no—
1346C22×C4—591no—
1347C22×C4—591no—
1348C22×C4—591no—
1349C22×C4—591no—
1350C22×C4—591no—
1351C22×C4—591no—
1352C22×C4—591no—
1353C22×C4—591no—
1354C22×C4—591no—
1355C22×C4—591no—
1356C22×C4—591no—
1357C22×C4—591no—
1358C22×C4—1182no—
1359C22×C4—1182no—
1360C22×C4—1182no—
1361C22×C4—1182no—
1362C22×C4—1182no—
1363C22×C4—1182no—
1364C22×C4—1182no—
1365C22×C4—2361no—
1366C22×C4—2361no—
1367C22×C4—2361no—
1368C22×C4—2361no—
1369C22×C4—2361no—
1370C22×C4—2361no—
1371C22×C4—2361no—
1372C22×C4—2361no—
1373C22×C4C2×C22⋊D5914yes—
1374C22×C4C2×C22⋊D5914yes—
1375C22×C4C23×D5911yescharacteristic
1376C22×C4C23×D5911yescharacteristic
1377C22×C4C23×D5911yescharacteristic
1378C22×C4C23×D5911yescharacteristic
1379C22×C4C23×D5911yescharacteristic
1380C22×C4C23×D5911yescharacteristic
1381C22×C4C23×D5911yescharacteristic
1382C22×C4C23×D5911yescharacteristic
1383C22×C4C23×D5911yescharacteristic
1384C22×C4C23×D5911yescharacteristic
1385C4⋊C4—22no—
1386C4⋊C4—22no—
1387C4⋊C4—22no—
1388C4⋊C4—1182no—
1389C4⋊C4—1182no—
1390C4⋊C4—1182no—
1391C4⋊C4—1182no—
1392C4⋊C4—1182no—
1393C4⋊C4—1182no—
1394C4⋊C4—1182no—
1395C4⋊C4—1182no—
1396C4⋊C4—1182no—
1397C4⋊C4—1182no—
1398C4⋊C4—1182no—
1399C4⋊C4—1182no—
1400C4⋊C4—1182no—
1401C4⋊C4—1182no—
1402C4⋊C4—1182no—
1403C4⋊C4—1182no—
1404C4⋊C4—1182no—
1405C4⋊C4—1182no—
1406C4⋊C4—1182no—
1407C4⋊C4—2361no—
1408C4⋊C4—2361no—
1409C4⋊C4—2361no—
1410C4⋊C4—2361no—
1411C4⋊C4—2361no—
1412C4⋊C4—2361no—
1413C4⋊C4—2361no—
1414C4⋊C4—2361no—
1415C4⋊C4—2361no—
1416C4⋊C4—2361no—
1417C4⋊C4—2361no—
1418C4⋊C4C2×C22⋊D5914yes—
1419C22⋊C4—22no—
1420C22⋊C4—22no—
1421C22⋊C4—22no—
1422C22⋊C4—22no—
1423C22⋊C4—22no—
1424C22⋊C4—22no—
1425C22⋊C4—1182no—
1426C22⋊C4—1182no—
1427C22⋊C4—1182no—
1428C22⋊C4—1182no—
1429C22⋊C4—1182no—
1430C22⋊C4—1182no—
1431C22⋊C4—1182no—
1432C22⋊C4—1182no—
1433C22⋊C4—1182no—
1434C22⋊C4—1182no—
1435C22⋊C4—1182no—
1436C22⋊C4—1182no—
1437C22⋊C4—1182no—
1438C22⋊C4—1182no—
1439C22⋊C4—1182no—
1440C22⋊C4—1182no—
1441C22⋊C4—1182no—
1442C22⋊C4—1182no—
1443C22⋊C4—1182no—
1444C22⋊C4—1182no—
1445C22⋊C4—1182no—
1446C22⋊C4—1182no—
1447C22⋊C4—1182no—
1448C22⋊C4—1182no—
1449C22⋊C4—1182no—
1450C22⋊C4—2361no—
1451C22⋊C4—2361no—
1452C22⋊C4—2361no—
1453C22⋊C4—2361no—
1454C22⋊C4—2361no—
1455C22⋊C4—2361no—
1456C22⋊C4—2361no—
1457C22⋊C4—2361no—
1458C22⋊C4—2361no—
1459C22⋊C4—2361no—
1460C22⋊C4—2361no—
1461C22⋊C4—2361no—
1462C22⋊C4—2361no—
1463C22⋊C4—2361no—
1464C22⋊C4—2361no—
1465C22⋊C4C2×C22⋊D5914yes—
1466C22⋊C4C2×C22⋊D5914yes—
1467C42—22no—
1468C42—22no—
1469C42—22no—
1470C42—1182no—
1471C42—2361no—
1472C42—2361no—
1473C42C2×C22⋊D5914yes—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—28no—
1483C23—28no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—21no—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—28no—
1503C23—44no—
1504C23—44no—
1505C23—44no—
1506C23—44no—
1507C23—44no—
1508C23—44no—
1509C23—44no—
1510C23—44no—
1511C23—44no—
1512C23—44no—
1513C23—44no—
1514C23—1181no—
1515C23—1181no—
1516C23—1181no—
1517C23—1181no—
1518C23—1181no—
1519C23—1181no—
1520C23—1181no—
1521C23C22×C22⋊D5912yes—
1522C23C22×C22⋊D5912yes—
1523C23C2×#1174568512yes—
1524C23C2×#1174568512yes—
1525C23C2×#1174568512yes—
1526C23C2×#1174568512yes—
1527C23C2×#1174568512yes—
1528C23#1427377212yes—
1529C23#1427377412yes—
1530C23C24×D5911yescharacteristic
1531Q8—4722no—
1532D4—28no—
1533D4—28no—
1534D4—28no—
1535D4—28no—
1536D4—4722no—
1537D4—4722no—
1538D4—2364no—
1539D4—2364no—
1540D4—2364no—
1541C2×C4—28no—
1542C2×C4—28no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—44no—
1567C2×C4—44no—
1568C2×C4—44no—
1569C2×C4—44no—
1570C2×C4—44no—
1571C2×C4—44no—
1572C2×C4—44no—
1573C2×C4—44no—
1574C2×C4—44no—
1575C2×C4—44no—
1576C2×C4—44no—
1577C2×C4—1181no—
1578C2×C4—1181no—
1579C2×C4—1181no—
1580C2×C4—1181no—
1581C2×C4—1181no—
1582C2×C4—1181no—
1583C2×C4—1181no—
1584C2×C4—1181no—
1585C2×C4—1181no—
1586C2×C4—1181no—
1587C2×C4—1181no—
1588C2×C4—1181no—
1589C2×C4—1181no—
1590C2×C4—1181no—
1591C2×C4—1181no—
1592C2×C4—1181no—
1593C2×C4—1181no—
1594C2×C4—1181no—
1595C2×C4—1181no—
1596C2×C4—1181no—
1597C2×C4—1181no—
1598C2×C4—1181no—
1599C2×C4—1181no—
1600C2×C4—1181no—
1601C2×C4—1181no—
1602C2×C4—1181no—
1603C2×C4—1181no—
1604C2×C4—1181no—
1605C2×C4—1181no—
1606C2×C4—1181no—
1607C2×C4—1181no—
1608C2×C4—1181no—
1609C2×C4—1181no—
1610C2×C4—1181no—
1611C2×C4—1181no—
1612C2×C4—1181no—
1613C2×C4—1181no—
1614C2×C4—1181no—
1615C2×C4—1181no—
1616C2×C4—1181no—
1617C2×C4—1181no—
1618C2×C4—1181no—
1619C2×C4—1181no—
1620C2×C4—1181no—
1621C2×C4—1181no—
1622C2×C4—4722no—
1623C2×C4—4722no—
1624C2×C4—4722no—
1625C2×C4—2364no—
1626C2×C4—2364no—
1627C2×C4C22×C22⋊D5912yes—
1628C2×C4C22×C22⋊D5912yes—
1629C2×C4C22×C22⋊D5912yes—
1630C2×C4C22×C22⋊D5912yes—
1631C2×C4C22×C22⋊D5912yes—
1632C2×C4C2×#1174568512yes—
1633C2×C4#1427377212yes—
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—22no—
1638C22—22no—
1639C22—22no—
1640C22—22no—
1641C22—22no—
1642C22—22no—
1643C22—22no—
1644C22—22no—
1645C22—22no—
1646C22—22no—
1647C22—22no—
1648C22—22no—
1649C22—22no—
1650C22—22no—
1651C22—22no—
1652C22—22no—
1653C22—22no—
1654C22—22no—
1655C22—416no—
1656C22—416no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—41no—
1665C22—41no—
1666C22—41no—
1667C22—41no—
1668C22—41no—
1669C22—2361no—
1670C22—2361no—
1671C22—2361no—
1672C22—2361no—
1673C22—2361no—
1674C22—2361no—
1675C22—2361no—
1676C22#1683791314yes—
1677C22#1683799414yescomplemented
1678C22C23×C22⋊D5911yescharacteristic
1679C22C22×#1174568511yescharacteristic
1680C22C22×#1174568511yescharacteristic
1681C22C2×#1427377211yescharacteristic
1682C22C2×#1427377211yescharacteristic
1683C22C2×#1427377411yescharacteristic
1684C22#1683823811yescharacteristic
1685C4—22no—
1686C4—22no—
1687C4—22no—
1688C4—22no—
1689C4—22no—
1690C4—22no—
1691C4—22no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—2361no—
1696C4—2361no—
1697C4—2361no—
1698C4—2361no—
1699C4—2361no—
1700C4—2361no—
1701C4—2361no—
1702C4—2361no—
1703C4—2361no—
1704C4—2361no—
1705C4—2361no—
1706C4—2361no—
1707C4—2361no—
1708C4—2361no—
1709C4—2361no—
1710C2—24no—
1711C2—24no—
1712C2—42no—
1713C2—42no—
1714C2—42no—
1715C2—4721no—
1716C2C2×#1683791311yescharacteristic
1717C2C2×#1683799411yescharacteristic
1718C2#2143750511yescharacteristic
1719C2#2143773111yescharacteristic
1720C2#2143777611yescharacteristic
1721C2#2143803611yescharacteristic
1722C2#2143814511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC22×C4×D4×C59C2
prime radical#21427470C2
hypercenterC22×C4×D4D59
hypocenterC59#34991
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ C22×C4×D4

Complements

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

NH ≅ G/Ntype
1. C2×#16837994C2semidirect
2. #21432411C2semidirect
3. #21432406C2semidirect
4. #21432388C2semidirect
5. #21432383C2semidirect
6. #21430013C2semidirect
7. #21429991C2semidirect
8. #21429964C2semidirect
9. #21429933C2semidirect
10. #21428336C2semidirect
11. #21428231C2semidirect
12. #21428126C2semidirect
13. #21428087C2semidirect
14. #21428042C2semidirect
15. #21427973C2semidirect
16. #21427905C2semidirect
17. #21427899C2semidirect
18. #21427825C2semidirect
19. #21427757C2semidirect
20. #21427641C2semidirect
21. #21427567C2semidirect
22. #21427558C2semidirect
23. #21427486C2semidirect
25. #21427419C2semidirect
26. #21426794C2semidirect
27. #21426761C2semidirect
28. #21426729C2semidirect
29. C4×#14273696C2semidirect
30. C2×#16837275C2semidirect
31. C22×C4×D4×C59C2semidirect
33. C2×#14273721C22semidirect
34. C2×#14273720C22semidirect
35. C2×#14273719C22semidirect
36. C2×#14273717C22semidirect
37. C2×#14273711C22semidirect
38. C2×#14273710C22semidirect
39. C2×#14273710C22semidirect
40. C2×#14273709C22semidirect
44. C2×#14273706C22semidirect
45. C2×#14273706C22semidirect
46. C2×#14273705C22semidirect
47. C2×#14273704C22semidirect
53. C2×C4×C22⋊D59C22semidirect
54. C2×C4×C22⋊D59C22semidirect
55. C22×Dic59⋊C4C22semidirect
56. C22×Dic59⋊C4C22semidirect
59. #16837340C22semidirect
60. #16837338C22semidirect
61. #16837338C22semidirect
62. #16837337C22semidirect
63. #16837335C22semidirect
64. #16837333C22semidirect
65. #16837333C22semidirect
66. #16837332C22semidirect
67. #16837330C22semidirect
68. #16837330C22semidirect
69. #16837330C22semidirect
70. #16837327C22semidirect
71. #16837327C22semidirect
72. #16837327C22semidirect
73. #16837325C22semidirect
74. #16837325C22semidirect
75. #16837325C22semidirect
76. #16837324C22semidirect
77. #16837322C22semidirect
78. #16837318C22semidirect
79. #16837318C22semidirect
80. #16837318C22semidirect
81. #16837317C22semidirect
88. #16837314C22semidirect
91. #16837300C22semidirect
92. #16837300C22semidirect
93. #16837297C22semidirect
94. #16837297C22semidirect
95. #16837296C22semidirect
96. #16837296C22semidirect
97. #16837295C22semidirect
98. #16837295C22semidirect
99. #16837293C22semidirect
100. #16837293C22semidirect
101. #16837293C22semidirect
102. #16837290C22semidirect
103. #16837288C22semidirect
104. #16837288C22semidirect
105. #16837286C22semidirect
106. #16837286C22semidirect
107. #16837286C22semidirect
108. #16837286C22semidirect
109. #16837286C22semidirect
110. #16837286C22semidirect
111. #16837286C22semidirect
112. #16837283C22semidirect
121. #16837281C22semidirect
122. #16837281C22semidirect
123. #16837281C22semidirect
124. #16837281C22semidirect
125. #16837279C22semidirect
126. #16837278C22semidirect
127. #16837277C22semidirect
128. #16837277C22semidirect
139. #16837275C22semidirect
140. #16837275C22semidirect
141. #16837275C22semidirect
142. #16837275C22semidirect
143. #16837275C22semidirect
144. #16837275C22semidirect
145. #16837275C22semidirect
146. #16837275C22semidirect
147. #16837275C22semidirect
148. #16837275C22semidirect
149. #16837275C22semidirect
150. #16837275C22semidirect
151. #16837274C22semidirect
152. #16837273C22semidirect
153. #16837270C22semidirect
154. #16837268C22semidirect
155. #16837265C22semidirect
156. #16837265C22semidirect
157. #16837263C22semidirect
161. #16837262C22semidirect
162. #16837262C22semidirect
163. #16837260C22semidirect
169. C4×C22⋊Dic59C22semidirect
170. C4×C22⋊Dic59C22semidirect
171. C2×C59⋊#95C22semidirect
172. C2×C59⋊#95C22semidirect
370. C4×D4×C59D4semidirect
809. C22×C59#539semidirect
850. C22×C4×D4D59semidirect
1050. C59#34991semidirect
1119. C4×D4C22⋊D59semidirect
1677. C22#16837994semidirect

Maximal subgroups

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

subgroupindex
C2×#168379942
#214324112
#214324062
#214323882
#214323832
#214300132
#214299912
#214299642
#214299332
#214283362
#214282312
#214281262
#214280872
#214280422
#214279732
#214279052
#214278992
#214278252
#214277572
#214276412
#214275672
#214275582
#214274862
#214274702
#214274192
#214267942
#214267612
#214267292
C4×#142736962
C2×#168372752
C22×C4×D4×C592
#3499159