Finite Group Databasebeta

← #28752245

Subgroups — #28752245

Order 15104.

2522 conjugacy classes of subgroups.

The subgroup lattice has 1608 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837985C211yesmaximal, characteristic
2#21427286C211yesmaximal, characteristic, complemented
3#21427267C211yesmaximal, characteristic, complemented
4#21427249C211yesmaximal, characteristic, complemented
5#21427240C211yesmaximal, characteristic, complemented
6#21427215C211yesmaximal, characteristic, complemented
7#21427174C211yesmaximal, characteristic, complemented
8#21427165C211yesmaximal, characteristic, complemented
9#21427144C211yesmaximal, characteristic, complemented
10#21427109C211yesmaximal, characteristic, complemented
11#21427107C211yesmaximal, characteristic, complemented
12#21427102C211yesmaximal, characteristic, complemented
13#21427088C211yesmaximal, characteristic, complemented
14#21427038C211yesmaximal, characteristic, complemented
15#21427006C211yesmaximal, characteristic, complemented
16C4⋊C4×C22⋊D59C211yesmaximal, characteristic, complemented
17#21426903C211yesmaximal, characteristic, complemented
18#21426885C211yesmaximal, characteristic, complemented
19#21426871C211yesmaximal, characteristic, complemented
20#21426867C211yesmaximal, characteristic, complemented
21#21426805C211yesmaximal, characteristic, complemented
22#21426796C211yesmaximal, characteristic, complemented
23#21426789C211yesmaximal, characteristic, complemented
24#21426769C211yesmaximal, characteristic, complemented
25#21426759C211yesmaximal, characteristic, complemented
26#21426756C211yesmaximal, characteristic, complemented
27#21426693C211yesmaximal, characteristic, complemented
28#21426601C211yesmaximal, characteristic, complemented
29C4×#14273697C211yesmaximal, characteristic, complemented
30C2×#16837273C211yesmaximal, characteristic, complemented
31C59×#2352C211yesmaximal, characteristic, complemented
32C23×C4×D59C2211yescharacteristic
33#16837985C4116yescomplemented
34C2×#14273722C2211yescharacteristic
35C2×#14273721C2211yescharacteristic
36C2×#14273715C2211yescharacteristic
37C2×#14273713C2211yescharacteristic
38C2×#14273712C2211yescharacteristic
39C2×#14273710C2211yescharacteristic
40C2×#14273704C2211yescharacteristic
41C2×#14273701C2211yescharacteristic
42C2×#14273700C2211yescharacteristic
43C2×#14273699C2211yescharacteristic
44C2×#14273697C2211yescharacteristic
45C2×#14273695C2211yescharacteristic
46C2×C4×Dic118C2211yescharacteristic, complemented
47C2×C4×D236C2211yescharacteristic
48C2×C4×D236C2211yescharacteristic
49C2×D4×Dic59C2211yescharacteristic
50C2×D4×Dic59C2211yescharacteristic
51C2×C4×C22⋊D59C2211yescharacteristic
52C2×C4×C22⋊D59C2211yescharacteristic
53C2×C4×C22⋊D59C2211yescharacteristic
54C2×(C22⋊D59)⋊C4C2211yescharacteristic
55C2×(C22⋊D59)⋊C4C2211yescharacteristic
56C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
57C22×Dic59⋊C4C2211yescharacteristic
58C2×C4⋊C4×D59C2211yescharacteristic, complemented
59C22×(C2×D59)⋊C4C2211yescharacteristic
60C22×(C2×D59)⋊C4C2211yescharacteristic
61#16837308C2211yescharacteristic, complemented
62#16837306C2211yescharacteristic, complemented
63#16837306C2211yescharacteristic, complemented
64#16837304C2211yescharacteristic
65#16837304C2211yescharacteristic
66#16837302C2211yescharacteristic
67#16837302C2211yescharacteristic
68#16837302C2211yescharacteristic, complemented
69#16837301C2211yescharacteristic, complemented
70#16837301C2211yescharacteristic, complemented
71#16837300C2211yescharacteristic, complemented
72#16837299C2211yescharacteristic, complemented
73#16837299C2211yescharacteristic, complemented
74#16837299C2211yescharacteristic, complemented
75#16837297C2211yescharacteristic, complemented
76#16837297C2211yescharacteristic, complemented
77#16837296C2211yescharacteristic, complemented
78#16837294C2211yescharacteristic
79#16837294C2211yescharacteristic
80#16837294C2211yescharacteristic
81#16837294C2211yescharacteristic
82#16837294C2211yescharacteristic
83#16837294C2211yescharacteristic
84#16837294C2211yescharacteristic
85#16837294C2211yescharacteristic
86#16837294C2211yescharacteristic, complemented
87#16837293C2211yescharacteristic
88#16837293C2211yescharacteristic
89#16837292C2211yescharacteristic
90#16837292C2211yescharacteristic
91#16837292C2211yescharacteristic
92#16837292C2211yescharacteristic
93#16837292C2211yescharacteristic, complemented
94#16837292C2211yescharacteristic, complemented
95#16837291C2211yescharacteristic
96#16837291C2211yescharacteristic
97#16837291C2211yescharacteristic, complemented
98#16837290C2211yescharacteristic, complemented
99#16837289C2211yescharacteristic, complemented
100#16837289C2211yescharacteristic, complemented
101#16837289C2211yescharacteristic, complemented
102#16837286C2211yescharacteristic, complemented
103#16837286C2211yescharacteristic, complemented
104#16837285C2211yescharacteristic, complemented
105#16837285C2211yescharacteristic, complemented
106#16837284C2211yescharacteristic, complemented
107#16837283C2211yescharacteristic, complemented
108#16837283C2211yescharacteristic, complemented
109#16837280C2211yescharacteristic
110#16837280C2211yescharacteristic
111#16837280C2211yescharacteristic
112#16837280C2211yescharacteristic
113#16837279C2211yescharacteristic
114#16837279C2211yescharacteristic
115#16837279C2211yescharacteristic
116#16837279C2211yescharacteristic
117#16837279C2211yescharacteristic, complemented
118#16837278C2211yescharacteristic
119#16837278C2211yescharacteristic
120#16837278C2211yescharacteristic, complemented
121#16837277C2211yescharacteristic
122#16837277C2211yescharacteristic
123#16837277C2211yescharacteristic, complemented
124#16837277C2211yescharacteristic, complemented
125#16837276C2211yescharacteristic
126#16837276C2211yescharacteristic
127#16837276C2211yescharacteristic
128#16837276C2211yescharacteristic
129#16837276C2211yescharacteristic, complemented
130#16837275C2211yescharacteristic
131#16837275C2211yescharacteristic
132#16837274C2211yescharacteristic, complemented
133#16837273C2211yescharacteristic
134#16837273C2211yescharacteristic
135#16837273C2211yescharacteristic
136#16837273C2211yescharacteristic
137#16837273C2211yescharacteristic
138#16837273C2211yescharacteristic
139#16837273C2211yescharacteristic
140#16837273C2211yescharacteristic
141#16837273C2211yescharacteristic, complemented
142#16837273C2211yescharacteristic, complemented
143#16837271C2211yescharacteristic, complemented
144#16837269C2211yescharacteristic, complemented
145#16837268C2211yescharacteristic, complemented
146#16837264C2211yescharacteristic, complemented
147#16837262C2211yescharacteristic
148#16837262C2211yescharacteristic, complemented
149#16837259C2211yescharacteristic, complemented
150#16837257C2211yescharacteristic
151#16837257C2211yescharacteristic
152C4⋊C4×Dic59C2211yescharacteristic, complemented
153C4×Dic59⋊C4C2211yescharacteristic, complemented
154C4×Dic59⋊C4C2211yescharacteristic, complemented
155C4×C4⋊Dic59C2211yescharacteristic, complemented
156C4×C4⋊Dic59C2211yescharacteristic, complemented
157#16837253C2211yescharacteristic, complemented
158C22⋊C4×Dic59C2211yescharacteristic
159C22⋊C4×Dic59C2211yescharacteristic
160C22⋊C4×Dic59C2211yescharacteristic
161C22⋊C4×Dic59C2211yescharacteristic
162C22⋊C4×Dic59C2211yescharacteristic, complemented
163C4×(C2×D59)⋊C4C2211yescharacteristic
164C4×(C2×D59)⋊C4C2211yescharacteristic
165#16837249C2211yescharacteristic
166#16837249C2211yescharacteristic
167#16837249C2211yescharacteristic, complemented
168#16837249C2211yescharacteristic, complemented
169#16837247C2211yescharacteristic, complemented
170C2×C59⋊#95C2211yescharacteristic
171C2×C59⋊#95C2211yescharacteristic
172C2×C59⋊#95C2211yescharacteristic, complemented
173C2×C4×D4×C59C2211yescharacteristic
174C2×#117×C59C2211yescharacteristic, complemented
175C22×C4⋊C4×C59C2211yescharacteristic
176C59×#388C2211yescharacteristic, complemented
177C59×#388C2211yescharacteristic, complemented
178C59×#387C2211yescharacteristic, complemented
179C59×#387C2211yescharacteristic, complemented
180C59×#386C2211yescharacteristic
181C59×#386C2211yescharacteristic
182C59×#382C2211yescharacteristic, complemented
183C59×#380C2211yescharacteristic
184C59×#380C2211yescharacteristic, complemented
185C4×C4⋊C4×C59C2211yescharacteristic, complemented
186C4×C22⋊C4×C59C2211yescharacteristic
187C4×C22⋊C4×C59C2211yescharacteristic
188C24×D59C2311yescharacteristic
189C22×Dic118C2311yescharacteristic
190C22×D236C2311yescharacteristic
191C22×D236C2311yescharacteristic
192C22×C22⋊D59C2311yescharacteristic
193C22×C22⋊D59C2311yescharacteristic
194C22×C22⋊D59C2311yescharacteristic
195C22×C22⋊D59C2311yescharacteristic
196C23×Dic59C2311yescharacteristic
197C23×Dic59C2311yescharacteristic
198C23×Dic59C2311yescharacteristic
199C23×Dic59C2311yescharacteristic
200C23×Dic59C2311yescharacteristic
201C22×C4×D59—42no—
202C22×C4×D59—42no—
203C22×C4×D59—42no—
204C22×C4×D59C2311yescharacteristic
205C22×C4×D59C2311yescharacteristic
206C22×C4×D59C2311yescharacteristic
207C22×C4×D59C2311yescharacteristic
208C22×C4×D59C2311yescharacteristic
209C22×C4×D59C2311yescharacteristic
210C22×C4×D59C2311yescharacteristic
211#14273722C2×C418yescomplemented
212#14273721C2×C418yescomplemented
213#14273715C2×C418yescomplemented
214#14273713C2×C418yescomplemented
215#14273712C2×C418yescomplemented
216#14273710C2×C418yescomplemented
217#14273704C2×C418yescomplemented
218#14273701C2×C418yescomplemented
219#14273700C2×C418yescomplemented
220#14273699C2×C418yescomplemented
221#14273697C2×C418yescomplemented
222#14273695C2×C418yescomplemented
223C4×Dic118—42no—
224C4×D236—42no—
225C4×D236—42no—
226D4×Dic59—42no—
227D4×Dic59—42no—
228C4×C22⋊D59—42no—
229C4×C22⋊D59—42no—
230C4×C22⋊D59C2×C418yescomplemented
231(C22⋊D59)⋊C4—42no—
232(C22⋊D59)⋊C4—42no—
233(C22⋊D59)⋊C4—42no—
234C2×C4⋊Dic59C2311yescharacteristic
235C2×C4⋊Dic59C2311yescharacteristic
236C2×C4⋊Dic59C2311yescharacteristic
237C2×C4⋊Dic59C2311yescharacteristic
238C2×C4⋊Dic59C2311yescharacteristic
239C2×C4⋊Dic59C2311yescharacteristic
240C2×C4⋊Dic59C2311yescharacteristic
241C2×C4⋊Dic59C2311yescharacteristic
242C2×C4⋊Dic59C2311yescharacteristic
243C2×Dic59⋊C4—42no—
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×Dic59⋊C4C2311yescharacteristic
255C2×Dic59⋊C4C2311yescharacteristic
256C2×Dic59⋊C4C2311yescharacteristic
257C2×Dic59⋊C4C2311yescharacteristic
258C4⋊C4×D59—42no—
259C2×C22⋊Dic59C2311yescharacteristic
260C2×C22⋊Dic59C2311yescharacteristic
261C2×C22⋊Dic59C2311yescharacteristic
262C2×C22⋊Dic59C2311yescharacteristic
263C2×C22⋊Dic59C2311yescharacteristic
264C2×C22⋊Dic59C2311yescharacteristic
265C2×(C2×D59)⋊C4—42no—
266C2×(C2×D59)⋊C4C2×C418yescomplemented
267C2×(C2×D59)⋊C4C2311yescharacteristic
268C2×(C2×D59)⋊C4C2311yescharacteristic
269C2×(C2×D59)⋊C4C2311yescharacteristic
270C2×(C2×D59)⋊C4C2311yescharacteristic
271C2×(C2×D59)⋊C4C2311yescharacteristic
272C2×(C2×D59)⋊C4C2311yescharacteristic
273C2×(C2×D59)⋊C4C2311yescharacteristic
274C2×(C2×D59)⋊C4C2311yescharacteristic
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×C4×Dic59C2311yescharacteristic
296C2×C4×Dic59C2311yescharacteristic
297C2×C4×Dic59C2311yescharacteristic
298C2×C4×Dic59C2311yescharacteristic
299C2×C4×Dic59C2311yescharacteristic
300C2×C4×Dic59C2311yescharacteristic
301C2×C4×Dic59C2311yescharacteristic
302C2×C4×Dic59C2311yescharacteristic
303C2×C4×Dic59C2311yescharacteristic
304C2×C4×Dic59C2311yescharacteristic
305C2×C4×Dic59C2311yescharacteristic
306C2×C4×Dic59C2311yescharacteristic
307C2×C4×Dic59C2311yescharacteristic
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
335C59⋊#95C2311yescharacteristic
336C59⋊#95C2311yescharacteristic
337C59⋊#95C2311yescharacteristic
338C22×D4×C59C2311yescharacteristic
339C23×C4×C59C2311yescharacteristic
340C23×C4×C59C2311yescharacteristic
341C23×C4×C59C2311yescharacteristic
342C23×C4×C59C2311yescharacteristic
343C4×D4×C59C2×C418yescomplemented
344#117×C59—42no—
345C2×C4⋊C4×C59—42no—
346C2×C4⋊C4×C59C2311yescharacteristic
347C2×C4⋊C4×C59C2311yescharacteristic
348C2×C4⋊C4×C59C2311yescharacteristic
349C2×C4⋊C4×C59C2311yescharacteristic
350C2×C4⋊C4×C59C2311yescharacteristic
351C2×C4⋊C4×C59C2311yescharacteristic
352C2×C4⋊C4×C59C2311yescharacteristic
353C2×C22⋊C4×C59C2311yescharacteristic
354C2×C22⋊C4×C59C2311yescharacteristic
355C2×C22⋊C4×C59C2311yescharacteristic
356C2×C22⋊C4×C59C2311yescharacteristic
357C2×C22⋊C4×C59C2311yescharacteristic
358C2×C22⋊C4×C59C2311yescharacteristic
359C2×C22⋊C4×C59C2311yescharacteristic
360C2×C22⋊C4×C59C2311yescharacteristic
361C2×C42×C59C2311yescharacteristic
362C2×C42×C59C2311yescharacteristic
363C2×C42×C59C2311yescharacteristic
364C2×C42×C59C2311yescharacteristic
365C2×C42×C59C2311yescharacteristic
366#95×C59C2311yescharacteristic
367#95×C59C2311yescharacteristic
368#95×C59C2311yescharacteristic
369#95×C59C2311yescharacteristic
370#95×C59C2311yescharacteristic
371#95×C59C2311yescharacteristic
372#95×C59C2311yescharacteristic
373#95×C59C2311yescharacteristic
374#95×C59C2311yescharacteristic
375#95×C59C2311yescharacteristic
376C24×C59C2411yescharacteristic
377C24×C59C2411yescharacteristic
378C23×D59—22no—
379C23×D59—22no—
380C23×D59—41no—
381C23×D59—41no—
382C23×D59—41no—
383C23×D59—41no—
384C23×D59C22×C414yes—
385C23×D59C2411yescharacteristic
386C23×D59C2411yescharacteristic
387C23×D59C2411yescharacteristic
388C2×D4×C59—22no—
389C2×D4×C59—22no—
390C2×D4×C59C22×C414yes—
391C22×C4×C59—22no—
392C22×C4×C59—22no—
393C22×C4×C59—22no—
394C22×C4×C59—41no—
395C22×C4×C59—41no—
396C22×C4×C59—41no—
397C22×C4×C59—41no—
398C22×C4×C59—41no—
399C22×C4×C59—41no—
400C22×C4×C59—41no—
401C22×C4×C59C22×C414yes—
402C22×C4×C59C22×C414yescomplemented
403C22×C4×C59C2411yescharacteristic
404C22×C4×C59C2411yescharacteristic
405C22×C4×C59C2411yescharacteristic
406C22×C4×C59C2411yescharacteristic
407C22×C4×C59C2411yescharacteristic
408C22×C4×C59C2411yescharacteristic
409C22×C4×C59C2411yescharacteristic
410C22×C4×C59C2411yescharacteristic
411C22×C4×C59C2411yescharacteristic
412C22×C4×C59C2411yescharacteristic
413C22×C4×C59C2411yescharacteristic
414C22×C4×C59C2411yescharacteristic
415C22×C4×C59C2411yescharacteristic
416C2×C22⋊D59—22no—
417C2×C22⋊D59—22no—
418C2×C22⋊D59—41no—
419C2×C22⋊D59—41no—
420C2×C22⋊D59—41no—
421C2×C22⋊D59—41no—
422C2×C22⋊D59—41no—
423C2×C22⋊D59—41no—
424C2×C22⋊D59C22×C414yes—
425C2×C22⋊D59C22×C414yes—
426C2×C22⋊D59C22×C414yes—
427C2×C22⋊D59C22×C414yescomplemented
428C22×Dic59—22no—
429C22×Dic59—22no—
430C22×Dic59—22no—
431C22×Dic59—22no—
432C22×Dic59—41no—
433C22×Dic59—41no—
434C22×Dic59—41no—
435C22×Dic59—41no—
436C22×Dic59—41no—
437C22×Dic59—41no—
438C22×Dic59—41no—
439C22×Dic59—41no—
440C22×Dic59—41no—
441C22×Dic59—41no—
442C22×Dic59C22×C414yes—
443C22×Dic59C2411yescharacteristic
444C22×Dic59C2411yescharacteristic
445C22×Dic59C2411yescharacteristic
446C22×Dic59C2411yescharacteristic
447C22×Dic59C2411yescharacteristic
448C22×Dic59C2411yescharacteristic
449C22×Dic59C2411yescharacteristic
450C22×Dic59C2411yescharacteristic
451C22×Dic59C2411yescharacteristic
452C22×Dic59C2411yescharacteristic
453C22×Dic59C2411yescharacteristic
454C22×Dic59C2411yescharacteristic
455C22×Dic59C2411yescharacteristic
456C2×D236—41no—
457C2×D236—41no—
458C2×D236—41no—
459C2×D236—41no—
460C2×D236C22×C414yes—
461C2×D236C22×C414yes—
462C2×C4×D59—22no—
463C2×C4×D59—22no—
464C2×C4×D59—22no—
465C2×C4×D59—22no—
466C2×C4×D59—22no—
467C2×C4×D59—41no—
468C2×C4×D59—41no—
469C2×C4×D59—41no—
470C2×C4×D59—41no—
471C2×C4×D59—41no—
472C2×C4×D59—41no—
473C2×C4×D59—41no—
474C2×C4×D59—41no—
475C2×C4×D59—41no—
476C2×C4×D59—41no—
477C2×C4×D59—416no—
478C2×C4×D59—41no—
479C2×C4×D59—41no—
480C2×C4×D59—41no—
481C2×C4×D59—41no—
482C2×C4×D59—41no—
483C2×C4×D59C22×C414yescomplemented
484C2×Dic118—41no—
485C2×Dic118—41no—
486C2×Dic118C22×C414yescomplemented
487C4⋊C4×C59—22no—
488C4⋊C4×C59—22no—
489C4⋊C4×C59—41no—
490C4⋊C4×C59—41no—
491C4⋊C4×C59—41no—
492C4⋊C4×C59—41no—
493C4⋊C4×C59C22×C414yescomplemented
494C22⋊C4×C59—22no—
495C22⋊C4×C59—22no—
496C22⋊C4×C59—22no—
497C22⋊C4×C59—41no—
498C22⋊C4×C59—41no—
499C22⋊C4×C59—41no—
500C22⋊C4×C59C22×C414yes—
501C22⋊C4×C59C22×C414yescomplemented
502C42×C59—22no—
503C42×C59—41no—
504C42×C59—41no—
505C42×C59—41no—
506C42×C59C22×C414yescomplemented
507C22⋊Dic59—22no—
508C22⋊Dic59—22no—
509C22⋊Dic59—41no—
510C22⋊Dic59—41no—
511C22⋊Dic59C22×C414yes—
512C22⋊Dic59C22×C414yescomplemented
513(C2×D59)⋊C4—22no—
514(C2×D59)⋊C4—41no—
515(C2×D59)⋊C4—41no—
516(C2×D59)⋊C4—41no—
517(C2×D59)⋊C4—41no—
518(C2×D59)⋊C4—41no—
519(C2×D59)⋊C4—41no—
520(C2×D59)⋊C4—41no—
521(C2×D59)⋊C4—41no—
522(C2×D59)⋊C4—41no—
523(C2×D59)⋊C4—41no—
524(C2×D59)⋊C4—41no—
525(C2×D59)⋊C4—41no—
526(C2×D59)⋊C4—41no—
527(C2×D59)⋊C4—41no—
528(C2×D59)⋊C4—41no—
529(C2×D59)⋊C4—41no—
530(C2×D59)⋊C4—41no—
531(C2×D59)⋊C4C22×C414yes—
532(C2×D59)⋊C4C22×C414yes—
533(C2×D59)⋊C4C22×C414yes—
534(C2×D59)⋊C4C22×C414yes—
535(C2×D59)⋊C4C22×C414yes—
536(C2×D59)⋊C4C22×C414yes—
537(C2×D59)⋊C4C22×C414yes—
538(C2×D59)⋊C4C22×C414yes—
539(C2×D59)⋊C4C22×C414yescomplemented
540(C2×D59)⋊C4C22×C414yescomplemented
541C4⋊Dic59—22no—
542C4⋊Dic59—41no—
543C4⋊Dic59—41no—
544C4⋊Dic59—41no—
545C4⋊Dic59—41no—
546C4⋊Dic59—41no—
547C4⋊Dic59—41no—
548C4⋊Dic59—41no—
549C4⋊Dic59C22×C414yescomplemented
550Dic59⋊C4—22no—
551Dic59⋊C4—22no—
552Dic59⋊C4—22no—
553Dic59⋊C4—41no—
554Dic59⋊C4—41no—
555Dic59⋊C4—41no—
556Dic59⋊C4—41no—
557Dic59⋊C4—41no—
558Dic59⋊C4—41no—
559Dic59⋊C4—41no—
560Dic59⋊C4C22×C414yescomplemented
561Dic59⋊C4C22×C414yescomplemented
562Dic59⋊C4C22×C414yescomplemented
563Dic59⋊C4C22×C414yescomplemented
564C4×Dic59—22no—
565C4×Dic59—41no—
566C4×Dic59—41no—
567C4×Dic59—41no—
568C4×Dic59—41no—
569C4×Dic59—41no—
570C4×Dic59—41no—
571C4×Dic59—41no—
572C4×Dic59—41no—
573C4×Dic59—41no—
574C4×Dic59—41no—
575C4×Dic59—41no—
576C4×Dic59C22×C414yescomplemented
577C23×C59—21no—
578C23×C59—21no—
579C23×C59—21no—
580C23×C59—21no—
581C23×C59—21no—
582C23×C59—21no—
583C23×C59—21no—
584C23×C59—21no—
585C23×C59—21no—
586C23×C59—21no—
587C23×C59C23×C412yes—
588C23×C59C23×C412yes—
589C23×C59H(5,𝔽2)12yes—
590C23×C592−1+412yes—
591C23×C59C2511yescharacteristic
592C22×D59—28no—
593C22×D59—21no—
594C22×D59—21no—
595C22×D59—21no—
596C22×D59—21no—
597C22×D59—21no—
598C22×D59—21no—
599C22×D59—21no—
600C22×D59—21no—
601C22×D59—21no—
602C22×D59—21no—
603C22×D59—21no—
604C22×D59—21no—
605C22×D59—21no—
606C22×D59—21no—
607C22×D59—21no—
608C22×D59—21no—
609C22×D59—21no—
610C22×D59—21no—
611C22×D59—44no—
612C22×D59—44no—
613C22×D59—44no—
614C22×D59—44no—
615C22×D59—44no—
616C22×D59—44no—
617C22×D59C23×C412yes—
618C22×D59C23×C412yes—
619C22×D59C23×C412yes—
620D4×C59—28no—
621C2×C4×C59—21no—
622C2×C4×C59—21no—
623C2×C4×C59—21no—
624C2×C4×C59—21no—
625C2×C4×C59—21no—
626C2×C4×C59—21no—
627C2×C4×C59—21no—
628C2×C4×C59—21no—
629C2×C4×C59—21no—
630C2×C4×C59—21no—
631C2×C4×C59—21no—
632C2×C4×C59—21no—
633C2×C4×C59—21no—
634C2×C4×C59—21no—
635C2×C4×C59—21no—
636C2×C4×C59—21no—
637C2×C4×C59—21no—
638C2×C4×C59—21no—
639C2×C4×C59—21no—
640C2×C4×C59—21no—
641C2×C4×C59—21no—
642C2×C4×C59—21no—
643C2×C4×C59—21no—
644C2×C4×C59—21no—
645C2×C4×C59—21no—
646C2×C4×C59—21no—
647C2×C4×C59—21no—
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—44no—
655C2×C4×C59—44no—
656C2×C4×C59—44no—
657C2×C4×C59—82no—
658C2×C4×C59C23×C412yes—
659C2×C4×C59C23×C412yes—
660C2×C4×C59C23×C412yes—
661C2×C4×C59C23×C412yes—
662C2×C4×C59C23×C412yes—
663C2×C4×C59H(5,𝔽2)12yes—
664C22⋊D59—28no—
665C22⋊D59—44no—
666C22⋊D59—44no—
667C22⋊D59—44no—
668C2×Dic59—21no—
669C2×Dic59—21no—
670C2×Dic59—21no—
671C2×Dic59—21no—
672C2×Dic59—21no—
673C2×Dic59—21no—
674C2×Dic59—21no—
675C2×Dic59—21no—
676C2×Dic59—21no—
677C2×Dic59—21no—
678C2×Dic59—21no—
679C2×Dic59—21no—
680C2×Dic59—21no—
681C2×Dic59—21no—
682C2×Dic59—21no—
683C2×Dic59—21no—
684C2×Dic59—21no—
685C2×Dic59—21no—
686C2×Dic59—21no—
687C2×Dic59—21no—
688C2×Dic59—21no—
689C2×Dic59—21no—
690C2×Dic59—21no—
691C2×Dic59—21no—
692C2×Dic59—21no—
693C2×Dic59—21no—
694C2×Dic59—21no—
695C2×Dic59—21no—
696C2×Dic59—21no—
697C2×Dic59—21no—
698C2×Dic59—21no—
699C2×Dic59—21no—
700C2×Dic59—21no—
701C2×Dic59—44no—
702C2×Dic59—44no—
703C2×Dic59—82no—
704C2×Dic59—82no—
705C2×Dic59—82no—
706C2×Dic59C23×C412yes—
707C2×Dic59C23×C412yes—
708C2×Dic59C23×C412yes—
709C2×Dic59C23×C412yes—
710C2×Dic59C23×C412yes—
711C2×Dic59H(5,𝔽2)12yes—
712D236—44no—
713D236—44no—
714C4×D59—44no—
715C4×D59—44no—
716C4×D59—44no—
717C4×D59—44no—
718C4×D59—44no—
719C4×D59—82no—
720C4×D59—82no—
721Dic118—44no—
722#34416—591nomaximal, Sylow
723C22×C59—22no—
724C22×C59—22no—
725C22×C59—22no—
726C22×C59—22no—
727C22×C59—22no—
728C22×C59—22no—
729C22×C59—22no—
730C22×C59—22no—
731C22×C59—22no—
732C22×C59—41no—
733C22×C59—41no—
734C22×C59—41no—
735C22×C59—41no—
736C22×C59#52014yes—
737C22×C59C24×C411yescharacteristic
738C22×C59C2×H(5,𝔽2)11yescharacteristic
739C22×C59C2×H(5,𝔽2)11yescharacteristic
740C22×C59C2×H(5,𝔽2)11yescharacteristic
741C22×C59C2×2−1+411yescharacteristic
742C22×C59#58511yescharacteristic
743C22×C59#58511yescharacteristic
744C2×D59—22no—
745C2×D59—22no—
746C2×D59—22no—
747C2×D59—22no—
748C2×D59—22no—
749C2×D59—22no—
750C2×D59—22no—
751C2×D59—22no—
752C2×D59—22no—
753C2×D59—416no—
754C2×D59—41no—
755C2×D59—41no—
756C2×D59—41no—
757C2×D59—41no—
758C2×D59—41no—
759C2×D59—41no—
760C2×D59—41no—
761C2×D59—41no—
762C2×D59—41no—
763C2×D59—41no—
764C2×D59—41no—
765C2×D59—41no—
766C4×C59—22no—
767C4×C59—22no—
768C4×C59—22no—
769C4×C59—22no—
770C4×C59—22no—
771C4×C59—22no—
772C4×C59—41no—
773C4×C59—41no—
774C4×C59—41no—
775C4×C59—41no—
776C4×C59—41no—
777C4×C59—41no—
778C4×C59—41no—
779Dic59—22no—
780Dic59—22no—
781Dic59—22no—
782Dic59—22no—
783Dic59—22no—
784Dic59—22no—
785Dic59—41no—
786Dic59—41no—
787Dic59—41no—
788Dic59—41no—
789Dic59—41no—
790Dic59—41no—
791Dic59—41no—
792C2×#538—591no—
793#2383—591no—
794#2379—591no—
795#2377—591no—
796#2376—591no—
797#2373—591no—
798#2368—591no—
799#2367—591no—
800#2364—591no—
801#2361—591no—
802#2361—591no—
803#2360—591no—
804#2359—591no—
805#2353—591no—
806#2352D5911yescharacteristic, complemented
807#2349—591no—
808D4×C4⋊C4—591no—
809#2337—591no—
810#2335—591no—
811#2334—591no—
812#2334—591no—
813#2326—591no—
814#2325—591no—
815#2324—591no—
816#2322—591no—
817#2321—591no—
818#2321—591no—
819#2312—591no—
820C4×#120—591no—
821C4×#120—591no—
822C2×#385—591no—
823C2×C59—24no—
824C2×C59—42no—
825C2×C59C2×#52011yescharacteristic
826C2×C59C4×H(5,𝔽2)11yescharacteristic
827C2×C59C4×H(5,𝔽2)11yescharacteristic
828C2×C59#353211yescharacteristic
829C2×C59#353311yescharacteristic
830C2×C59#354111yescharacteristic
831C2×C59#354111yescharacteristic
832D59—42no—
833D59—42no—
834D59—42no—
835C24×C4—591no—
836#538—5916no—
837C2×#126—591no—
838C2×#126—591no—
839C2×#124—591no—
840C2×#124—591no—
841C2×#123—591no—
842C2×#123—591no—
843C2×C22⋊Q8—591no—
844C2×#121—591no—
845C2×#121—591no—
846C2×#121—591no—
847C2×#120—591no—
848C2×#120—591no—
849C2×C4×Q8—591no—
850C2×C4×D4—591no—
851C2×C4×D4—591no—
852C2×C4×D4—591no—
853C2×C4×D4—591no—
854C2×C4×D4—591no—
855C2×C4×D4—591no—
856C2×C4×D4—591no—
857C2×C4×D4—591no—
858C2×C4×D4—591no—
859C2×C4×D4—591no—
860C2×C4×D4C2×D5911yescharacteristic
861C2×#117C2×D5911yescharacteristic, complemented
862C22×C4⋊C4—591no—
863C22×C4⋊C4—591no—
864C22×C4⋊C4C2×D5911yescharacteristic
865C22×C22⋊C4—591no—
866C22×C22⋊C4—591no—
867#391—591no—
868#391—591no—
869#391—591no—
870#390—591no—
871#390—591no—
872#390—591no—
873#390—591no—
874#390—591no—
875#389—591no—
876#389—591no—
877#389—591no—
878#389—591no—
879#389—591no—
880#389—591no—
881#389—591no—
882#389—591no—
883#388—591no—
884#388—591no—
885#388—591no—
886#388—591no—
887#388—591no—
888#388—591no—
889#388—591no—
890#388—591no—
891#388—591no—
892#388—591no—
893#388—591no—
894#388—591no—
895#388—591no—
896#388—591no—
897#388—591no—
898#388—591no—
899#388—591no—
900#388—591no—
901#388—591no—
902#388—591no—
903#388—591no—
904#388—591no—
905#388C2×D5911yescharacteristic, complemented
906#388C2×D5911yescharacteristic, complemented
907#387—591no—
908#387—591no—
909#387—591no—
910#387—591no—
911#387—591no—
912#387—591no—
913#387—591no—
914#387—591no—
915#387—591no—
916#387—591no—
917#387C2×D5911yescharacteristic, complemented
918#387C2×D5911yescharacteristic, complemented
919#386—591no—
920#386—591no—
921#386—591no—
922#386—591no—
923#386—591no—
924#386—591no—
925#386—591no—
926#386—591no—
927#386—591no—
928#386—591no—
929#386—591no—
930#386—591no—
931#386C2×D5911yescharacteristic
932#386C2×D5911yescharacteristic
933#385—591no—
934#385—591no—
935#385—591no—
936#385—591no—
937#385—591no—
938#385—591no—
939#385—591no—
940#385—591no—
941#385—591no—
942#385—591no—
943#385—591no—
944#385—591no—
945#385—591no—
946#385—591no—
947#385—591no—
948#385—591no—
949#385—591no—
950#385—591no—
951#385—591no—
952#385—591no—
953#385—591no—
954#385—591no—
955#384—591no—
956#383—591no—
957#382—591no—
958#382C2×D5911yescharacteristic, complemented
959#381—591no—
960#380—591no—
961#380—591no—
962#380—591no—
963#380C2×D5911yescharacteristic
964#380C2×D5911yescharacteristic, complemented
965#379—591no—
966#379—591no—
967C4×C4⋊C4—591no—
968C4×C4⋊C4—591no—
969C4×C4⋊C4—591no—
970C4×C4⋊C4—591no—
971C4×C4⋊C4—591no—
972C4×C4⋊C4—591no—
973C4×C4⋊C4C2×D5911yescharacteristic, complemented
974C4×C22⋊C4—591no—
975C4×C22⋊C4—591no—
976C4×C22⋊C4—591no—
977C4×C22⋊C4—591no—
978C4×C22⋊C4—591no—
979C4×C22⋊C4—591no—
980C4×C22⋊C4—591no—
981C4×C22⋊C4—591no—
982C4×C22⋊C4—591no—
983C4×C22⋊C4—591no—
984C4×C22⋊C4—591no—
985C4×C22⋊C4C2×D5911yescharacteristic
986C4×C22⋊C4C2×D5911yescharacteristic
987#376—591no—
988C2×#95—591no—
989C2×#95—591no—
990C2×#95—591no—
991C59#3441611yescharacteristic, complemented, Sylow
992C25—591no—
993C22×Q8—591no—
994C22×D4—591no—
995C22×D4—591no—
996C22×D4—591no—
997C22×D4—591no—
998C22×D4—591no—
999C22×D4—591no—
1000C22×D4C22×D5911yescharacteristic
1001C23×C4—591no—
1002C23×C4—591no—
1003C23×C4—591no—
1004C23×C4—591no—
1005C23×C4—591no—
1006C23×C4—591no—
1007C23×C4—591no—
1008C23×C4—591no—
1009C23×C4—591no—
1010C23×C4—591no—
1011C23×C4—591no—
1012C23×C4—591no—
1013C23×C4—2362no—
1014C23×C4—2362no—
1015C23×C4—2362no—
1016C23×C4C22×D5911yescharacteristic
1017C23×C4C22×D5911yescharacteristic
1018C23×C4C22×D5911yescharacteristic
1019C23×C4C22×D5911yescharacteristic
1020#126—598no—
1021#126—598no—
1022#124—598no—
1023#124—598no—
1024#123—598no—
1025#123—598no—
1026C22⋊Q8—598no—
1027#121—598no—
1028#121—598no—
1029#121—598no—
1030#120—598no—
1031#120—598no—
1032C4×Q8—2362no—
1033C4×D4—598no—
1034C4×D4—2362no—
1035C4×D4—2362no—
1036C4×D4—2362no—
1037C4×D4—2362no—
1038C4×D4—2362no—
1039C4×D4—2362no—
1040C4×D4—2362no—
1041C4×D4—2362no—
1042C4×D4—2362no—
1043C4×D4C4×D5918yescomplemented
1044#117—42no—
1045C2×C4⋊C4—42no—
1046C2×C4⋊C4—591no—
1047C2×C4⋊C4—591no—
1048C2×C4⋊C4—591no—
1049C2×C4⋊C4—591no—
1050C2×C4⋊C4—591no—
1051C2×C4⋊C4—591no—
1052C2×C4⋊C4—591no—
1053C2×C4⋊C4—591no—
1054C2×C4⋊C4—591no—
1055C2×C4⋊C4—591no—
1056C2×C4⋊C4—591no—
1057C2×C4⋊C4—591no—
1058C2×C4⋊C4—591no—
1059C2×C4⋊C4—591no—
1060C2×C4⋊C4—591no—
1061C2×C4⋊C4—591no—
1062C2×C4⋊C4—591no—
1063C2×C4⋊C4—591no—
1064C2×C4⋊C4—591no—
1065C2×C4⋊C4—591no—
1066C2×C4⋊C4—591no—
1067C2×C4⋊C4—591no—
1068C2×C4⋊C4—591no—
1069C2×C4⋊C4—2362no—
1070C2×C4⋊C4—2362no—
1071C2×C4⋊C4C22×D5911yescharacteristic
1072C2×C4⋊C4C22×D5911yescharacteristic
1073C2×C4⋊C4C22×D5911yescharacteristic
1074C2×C4⋊C4C22×D5911yescharacteristic
1075C2×C4⋊C4C22×D5911yescharacteristic
1076C2×C4⋊C4C22×D5911yescharacteristic
1077C2×C4⋊C4C22×D5911yescharacteristic
1078C2×C22⋊C4—591no—
1079C2×C22⋊C4—591no—
1080C2×C22⋊C4—598no—
1081C2×C22⋊C4—591no—
1082C2×C22⋊C4—591no—
1083C2×C22⋊C4—591no—
1084C2×C22⋊C4—591no—
1085C2×C22⋊C4—591no—
1086C2×C22⋊C4—591no—
1087C2×C22⋊C4—591no—
1088C2×C22⋊C4—591no—
1089C2×C22⋊C4—591no—
1090C2×C22⋊C4—591no—
1091C2×C22⋊C4—591no—
1092C2×C22⋊C4—591no—
1093C2×C22⋊C4—591no—
1094C2×C22⋊C4—591no—
1095C2×C22⋊C4—591no—
1096C2×C22⋊C4—591no—
1097C2×C22⋊C4—591no—
1098C2×C22⋊C4—591no—
1099C2×C22⋊C4—591no—
1100C2×C22⋊C4—591no—
1101C2×C22⋊C4—591no—
1102C2×C22⋊C4—591no—
1103C2×C22⋊C4—591no—
1104C2×C22⋊C4—591no—
1105C2×C22⋊C4—591no—
1106C2×C22⋊C4—591no—
1107C2×C22⋊C4—591no—
1108C2×C22⋊C4—591no—
1109C2×C22⋊C4—591no—
1110C2×C22⋊C4—591no—
1111C2×C22⋊C4—591no—
1112C2×C22⋊C4—591no—
1113C2×C22⋊C4—2362no—
1114C2×C22⋊C4C22×D5911yescharacteristic
1115C2×C22⋊C4C22×D5911yescharacteristic
1116C2×C22⋊C4C22×D5911yescharacteristic
1117C2×C22⋊C4C22×D5911yescharacteristic
1118C2×C22⋊C4C22×D5911yescharacteristic
1119C2×C22⋊C4C22×D5911yescharacteristic
1120C2×C22⋊C4C22×D5911yescharacteristic
1121C2×C22⋊C4C22×D5911yescharacteristic
1122C2×C42—591no—
1123C2×C42—591no—
1124C2×C42—591no—
1125C2×C42—591no—
1126C2×C42—591no—
1127C2×C42—591no—
1128C2×C42—591no—
1129C2×C42—591no—
1130C2×C42—591no—
1131C2×C42—591no—
1132C2×C42—591no—
1133C2×C42—591no—
1134C2×C42—591no—
1135C2×C42C22×D5911yescharacteristic
1136C2×C42C22×D5911yescharacteristic
1137C2×C42C22×D5911yescharacteristic
1138C2×C42C22×D5911yescharacteristic
1139C2×C42C22×D5911yescharacteristic
1140#95—591no—
1141#95—591no—
1142#95—591no—
1143#95—591no—
1144#95—591no—
1145#95—591no—
1146#95—591no—
1147#95—591no—
1148#95—591no—
1149#95—591no—
1150#95—591no—
1151#95—591no—
1152#95—591no—
1153#95—591no—
1154#95—591no—
1155#95—591no—
1156#95—591no—
1157#95—591no—
1158#95—591no—
1159#95—591no—
1160#95—591no—
1161#95—591no—
1162#95—591no—
1163#95—591no—
1164#95—591no—
1165#95—591no—
1166#95—591no—
1167#95—591no—
1168#95—591no—
1169#95—591no—
1170#95C22×D5911yescharacteristic
1171#95C22×D5911yescharacteristic
1172#95C22×D5911yescharacteristic
1173#95C22×D5911yescharacteristic
1174#95C22×D5911yescharacteristic
1175#95C22×D5911yescharacteristic
1176#95C22×D5911yescharacteristic
1177#95C22×D5911yescharacteristic
1178#95C22×D5911yescharacteristic
1179#95C22×D5911yescharacteristic
1180C24—591no—
1181C24—591no—
1182C24—591no—
1183C24—594no—
1184C24—1182no—
1185C24—1182no—
1186C24—2361no—
1187C24—2361no—
1188C24—2361no—
1189C24—2361no—
1190C24C23×D5911yescharacteristic
1191C24C23×D5911yescharacteristic
1192C2×Q8—594no—
1193C2×Q8—2361no—
1194C2×Q8—2361no—
1195C2×D4—22no—
1196C2×D4—22no—
1197C2×D4—594no—
1198C2×D4—594no—
1199C2×D4—594no—
1200C2×D4—594no—
1201C2×D4—594no—
1202C2×D4—594no—
1203C2×D4—1182no—
1204C2×D4—1182no—
1205C2×D4—2361no—
1206C2×D4—2361no—
1207C2×D4—2361no—
1208C2×D4—2361no—
1209C2×D4—2361no—
1210C2×D4—2361no—
1211C2×D4—2361no—
1212C2×D4—2361no—
1213C2×D4—2361no—
1214C2×D4—2361no—
1215C2×D4C2×C4×D5914yes—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—41no—
1220C22×C4—41no—
1221C22×C4—41no—
1222C22×C4—41no—
1223C22×C4—41no—
1224C22×C4—41no—
1225C22×C4—41no—
1226C22×C4—591no—
1227C22×C4—591no—
1228C22×C4—591no—
1229C22×C4—591no—
1230C22×C4—591no—
1231C22×C4—591no—
1232C22×C4—594no—
1233C22×C4—594no—
1234C22×C4—591no—
1235C22×C4—591no—
1236C22×C4—591no—
1237C22×C4—591no—
1238C22×C4—591no—
1239C22×C4—591no—
1240C22×C4—591no—
1241C22×C4—1182no—
1242C22×C4—1182no—
1243C22×C4—1182no—
1244C22×C4—1182no—
1245C22×C4—1182no—
1246C22×C4—1182no—
1247C22×C4—1182no—
1248C22×C4—1182no—
1249C22×C4—1182no—
1250C22×C4—2361no—
1251C22×C4—2361no—
1252C22×C4—2361no—
1253C22×C4—2361no—
1254C22×C4—2361no—
1255C22×C4—2361no—
1256C22×C4—2361no—
1257C22×C4—2361no—
1258C22×C4—2361no—
1259C22×C4—2361no—
1260C22×C4—2361no—
1261C22×C4—2361no—
1262C22×C4—2361no—
1263C22×C4—2361no—
1264C22×C4—2361no—
1265C22×C4—23616no—
1266C22×C4—2361no—
1267C22×C4—2361no—
1268C22×C4—2361no—
1269C22×C4—2361no—
1270C22×C4—2361no—
1271C22×C4—2361no—
1272C22×C4—2361no—
1273C22×C4—2361no—
1274C22×C4—2361no—
1275C22×C4—2361no—
1276C22×C4C2×C4×D5914yes—
1277C22×C4C2×C4×D5914yescomplemented
1278C22×C4C23×D5911yescharacteristic
1279C22×C4C23×D5911yescharacteristic
1280C22×C4C23×D5911yescharacteristic
1281C22×C4C23×D5911yescharacteristic
1282C22×C4C23×D5911yescharacteristic
1283C22×C4C23×D5911yescharacteristic
1284C22×C4C23×D5911yescharacteristic
1285C22×C4C23×D5911yescharacteristic
1286C22×C4C23×D5911yescharacteristic
1287C22×C4C23×D5911yescharacteristic
1288C22×C4C23×D5911yescharacteristic
1289C22×C4C23×D5911yescharacteristic
1290C22×C4C23×D5911yescharacteristic
1291C4⋊C4—22no—
1292C4⋊C4—22no—
1293C4⋊C4—41no—
1294C4⋊C4—41no—
1295C4⋊C4—41no—
1296C4⋊C4—41no—
1297C4⋊C4—594no—
1298C4⋊C4—594no—
1299C4⋊C4—594no—
1300C4⋊C4—594no—
1301C4⋊C4—594no—
1302C4⋊C4—1182no—
1303C4⋊C4—1182no—
1304C4⋊C4—1182no—
1305C4⋊C4—1182no—
1306C4⋊C4—2361no—
1307C4⋊C4—2361no—
1308C4⋊C4—2361no—
1309C4⋊C4—2361no—
1310C4⋊C4—2361no—
1311C4⋊C4—2361no—
1312C4⋊C4—2361no—
1313C4⋊C4—2361no—
1314C4⋊C4—2361no—
1315C4⋊C4—2361no—
1316C4⋊C4—2361no—
1317C4⋊C4—2361no—
1318C4⋊C4—2361no—
1319C4⋊C4—2361no—
1320C4⋊C4C2×C4×D5914yescomplemented
1321C22⋊C4—22no—
1322C22⋊C4—22no—
1323C22⋊C4—22no—
1324C22⋊C4—41no—
1325C22⋊C4—41no—
1326C22⋊C4—41no—
1327C22⋊C4—594no—
1328C22⋊C4—594no—
1329C22⋊C4—594no—
1330C22⋊C4—594no—
1331C22⋊C4—594no—
1332C22⋊C4—594no—
1333C22⋊C4—594no—
1334C22⋊C4—594no—
1335C22⋊C4—594no—
1336C22⋊C4—594no—
1337C22⋊C4—594no—
1338C22⋊C4—594no—
1339C22⋊C4—1182no—
1340C22⋊C4—1182no—
1341C22⋊C4—1182no—
1342C22⋊C4—2361no—
1343C22⋊C4—2361no—
1344C22⋊C4—2361no—
1345C22⋊C4—2361no—
1346C22⋊C4—2361no—
1347C22⋊C4—2361no—
1348C22⋊C4—2361no—
1349C22⋊C4—2361no—
1350C22⋊C4—2361no—
1351C22⋊C4—2361no—
1352C22⋊C4—2361no—
1353C22⋊C4—2361no—
1354C22⋊C4—2361no—
1355C22⋊C4—2361no—
1356C22⋊C4—2361no—
1357C22⋊C4—2361no—
1358C22⋊C4—2361no—
1359C22⋊C4—2361no—
1360C22⋊C4—2361no—
1361C22⋊C4C2×C4×D5914yes—
1362C22⋊C4C2×C4×D5914yescomplemented
1363C42—22no—
1364C42—41no—
1365C42—41no—
1366C42—41no—
1367C42—594no—
1368C42—1182no—
1369C42—2361no—
1370C42—2361no—
1371C42—2361no—
1372C42—2361no—
1373C42—2361no—
1374C42—2361no—
1375C42—2361no—
1376C42—2361no—
1377C42—2361no—
1378C42—2361no—
1379C42—2361no—
1380C42C2×C4×D5914yescomplemented
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—592no—
1392C23—592no—
1393C23—592no—
1394C23—1181no—
1395C23—1181no—
1396C23—1181no—
1397C23—1181no—
1398C23—1181no—
1399C23—1181no—
1400C23—1181no—
1401C23—1181no—
1402C23—1181no—
1403C23—1181no—
1404C23—1181no—
1405C23—1181no—
1406C23—1181no—
1407C23—1181no—
1408C23—1181no—
1409C23—1181no—
1410C23—1181no—
1411C23—1181no—
1412C23—1188no—
1413C23—2364no—
1414C23—2364no—
1415C23—2364no—
1416C23—2364no—
1417C23—2364no—
1418C23—2364no—
1419C23C22×C4×D5912yes—
1420C23C22×C4×D5912yes—
1421C23#1427377312yes—
1422C23#1427377412yes—
1423C23C24×D5911yescharacteristic
1424Q8—2364no—
1425D4—28no—
1426D4—1188no—
1427D4—2364no—
1428D4—2364no—
1429D4—2364no—
1430D4—2364no—
1431D4—2364no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—44no—
1466C2×C4—44no—
1467C2×C4—44no—
1468C2×C4—82no—
1469C2×C4—592no—
1470C2×C4—592no—
1471C2×C4—592no—
1472C2×C4—592no—
1473C2×C4—592no—
1474C2×C4—592no—
1475C2×C4—1181no—
1476C2×C4—1181no—
1477C2×C4—1181no—
1478C2×C4—1181no—
1479C2×C4—1181no—
1480C2×C4—1181no—
1481C2×C4—1181no—
1482C2×C4—1181no—
1483C2×C4—1181no—
1484C2×C4—1181no—
1485C2×C4—1181no—
1486C2×C4—1181no—
1487C2×C4—1181no—
1488C2×C4—1181no—
1489C2×C4—1181no—
1490C2×C4—1181no—
1491C2×C4—1181no—
1492C2×C4—1181no—
1493C2×C4—1181no—
1494C2×C4—1181no—
1495C2×C4—1181no—
1496C2×C4—1181no—
1497C2×C4—1181no—
1498C2×C4—1181no—
1499C2×C4—1181no—
1500C2×C4—1181no—
1501C2×C4—1181no—
1502C2×C4—1181no—
1503C2×C4—1181no—
1504C2×C4—1181no—
1505C2×C4—1181no—
1506C2×C4—1181no—
1507C2×C4—1181no—
1508C2×C4—4722no—
1509C2×C4—4722no—
1510C2×C4—4722no—
1511C2×C4—4722no—
1512C2×C4—4722no—
1513C2×C4—2364no—
1514C2×C4—2364no—
1515C2×C4—2364no—
1516C2×C4—2364no—
1517C2×C4—2364no—
1518C2×C4—2364no—
1519C2×C4—2364no—
1520C2×C4C22×C4×D5912yes—
1521C2×C4C22×C4×D5912yes—
1522C2×C4C22×C4×D5912yes—
1523C2×C4C22×C4×D5912yes—
1524C2×C4C22×C4×D5912yes—
1525C2×C4#1427377212yes—
1526C22—22no—
1527C22—22no—
1528C22—22no—
1529C22—22no—
1530C22—22no—
1531C22—22no—
1532C22—22no—
1533C22—22no—
1534C22—22no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—1182no—
1540C22—1182no—
1541C22—1182no—
1542C22—1182no—
1543C22—1182no—
1544C22—1182no—
1545C22—1182no—
1546C22—1182no—
1547C22—1182no—
1548C22—23616no—
1549C22—2361no—
1550C22—2361no—
1551C22—2361no—
1552C22—2361no—
1553C22—2361no—
1554C22—2361no—
1555C22—2361no—
1556C22—2361no—
1557C22—2361no—
1558C22—2361no—
1559C22—2361no—
1560C22—2361no—
1561C22#1683788214yes—
1562C22C23×C4×D5911yescharacteristic
1563C22H(5,𝔽2)×D5911yescharacteristic
1564C22C2×#1427377211yescharacteristic
1565C22C2×#1427377311yescharacteristic
1566C22C2×#1427377411yescharacteristic
1567C22#1683823811yescharacteristic
1568C22#1683823911yescharacteristic
1569C4—22no—
1570C4—22no—
1571C4—22no—
1572C4—22no—
1573C4—22no—
1574C4—22no—
1575C4—41no—
1576C4—41no—
1577C4—41no—
1578C4—41no—
1579C4—41no—
1580C4—41no—
1581C4—41no—
1582C4—1182no—
1583C4—1182no—
1584C4—1182no—
1585C4—1182no—
1586C4—1182no—
1587C4—1182no—
1588C4—2361no—
1589C4—2361no—
1590C4—2361no—
1591C4—2361no—
1592C4—2361no—
1593C4—2361no—
1594C4—2361no—
1595C2—24no—
1596C2—42no—
1597C2—2362no—
1598C2—2362no—
1599C2—2362no—
1600C2C2×#1683788211yescharacteristic
1601C2C4×#1427377211yescharacteristic
1602C2#2143730211yescharacteristic
1603C2#2143824511yescharacteristic
1604C2#2143826211yescharacteristic
1605C2#2143837411yescharacteristic
1606C2#2143837511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutatorC22×C59C24×C4
FittingC59×#2352C2
socle, cosocleC23×C59C25
prime radicalC2×#16837985C2
hypercenter#2352D59
hypocenterC59#34416
LCSG ▷ C22×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2352

Complements

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

NH ≅ G/Ntype
2. #21427286C2semidirect
3. #21427267C2semidirect
4. #21427249C2semidirect
5. #21427240C2semidirect
6. #21427215C2semidirect
7. #21427174C2semidirect
8. #21427165C2semidirect
9. #21427144C2semidirect
10. #21427109C2semidirect
11. #21427107C2semidirect
12. #21427102C2semidirect
13. #21427088C2semidirect
14. #21427038C2semidirect
15. #21427006C2semidirect
16. C4⋊C4×C22⋊D59C2semidirect
17. #21426903C2semidirect
18. #21426885C2semidirect
19. #21426871C2semidirect
20. #21426867C2semidirect
21. #21426805C2semidirect
22. #21426796C2semidirect
23. #21426789C2semidirect
24. #21426769C2semidirect
25. #21426759C2semidirect
26. #21426756C2semidirect
27. #21426693C2semidirect
28. #21426601C2semidirect
29. C4×#14273697C2semidirect
30. C2×#16837273C2semidirect
31. C59×#2352C2semidirect
33. #16837985C4semidirect
46. C2×C4×Dic118C22semidirect
56. C2×(C22⋊D59)⋊C4C22semidirect
58. C2×C4⋊C4×D59C22semidirect
61. #16837308C22semidirect
62. #16837306C22semidirect
63. #16837306C22semidirect
68. #16837302C22semidirect
69. #16837301C22semidirect
70. #16837301C22semidirect
71. #16837300C22semidirect
72. #16837299C22semidirect
73. #16837299C22semidirect
74. #16837299C22semidirect
75. #16837297C22semidirect
76. #16837297C22semidirect
77. #16837296C22semidirect
86. #16837294C22semidirect
93. #16837292C22semidirect
94. #16837292C22semidirect
97. #16837291C22semidirect
98. #16837290C22semidirect
99. #16837289C22semidirect
100. #16837289C22semidirect
101. #16837289C22semidirect
102. #16837286C22semidirect
103. #16837286C22semidirect
104. #16837285C22semidirect
105. #16837285C22semidirect
106. #16837284C22semidirect
107. #16837283C22semidirect
108. #16837283C22semidirect
117. #16837279C22semidirect
120. #16837278C22semidirect
123. #16837277C22semidirect
124. #16837277C22semidirect
129. #16837276C22semidirect
132. #16837274C22semidirect
141. #16837273C22semidirect
142. #16837273C22semidirect
143. #16837271C22semidirect
144. #16837269C22semidirect
145. #16837268C22semidirect
146. #16837264C22semidirect
148. #16837262C22semidirect
149. #16837259C22semidirect
152. C4⋊C4×Dic59C22semidirect
153. C4×Dic59⋊C4C22semidirect
154. C4×Dic59⋊C4C22semidirect
155. C4×C4⋊Dic59C22semidirect
156. C4×C4⋊Dic59C22semidirect
157. #16837253C22semidirect
162. C22⋊C4×Dic59C22semidirect
167. #16837249C22semidirect
168. #16837249C22semidirect
169. #16837247C22semidirect
172. C2×C59⋊#95C22semidirect
174. C2×#117×C59C22semidirect
176. C59×#388C22semidirect
177. C59×#388C22semidirect
178. C59×#387C22semidirect
179. C59×#387C22semidirect
182. C59×#382C22semidirect
184. C59×#380C22semidirect
185. C4×C4⋊C4×C59C22semidirect
211. #14273722C2×C4semidirect
212. #14273721C2×C4semidirect
213. #14273715C2×C4semidirect
214. #14273713C2×C4semidirect
215. #14273712C2×C4semidirect
216. #14273710C2×C4semidirect
217. #14273704C2×C4semidirect
218. #14273701C2×C4semidirect
219. #14273700C2×C4semidirect
220. #14273699C2×C4semidirect
221. #14273697C2×C4semidirect
222. #14273695C2×C4semidirect
230. C4×C22⋊D59C2×C4semidirect
266. C2×(C2×D59)⋊C4C2×C4semidirect
343. C4×D4×C59C2×C4semidirect
402. C22×C4×C59C22×C4semidirect
427. C2×C22⋊D59C22×C4semidirect
483. C2×C4×D59C22×C4semidirect
486. C2×Dic118C22×C4semidirect
493. C4⋊C4×C59C22×C4semidirect
501. C22⋊C4×C59C22×C4semidirect
506. C42×C59C22×C4semidirect
512. C22⋊Dic59C22×C4semidirect
539. (C2×D59)⋊C4C22×C4semidirect
540. (C2×D59)⋊C4C22×C4semidirect
549. C4⋊Dic59C22×C4semidirect
560. Dic59⋊C4C22×C4semidirect
561. Dic59⋊C4C22×C4semidirect
562. Dic59⋊C4C22×C4semidirect
563. Dic59⋊C4C22×C4semidirect
576. C4×Dic59C22×C4semidirect
806. #2352D59semidirect
861. C2×#117C2×D59semidirect
905. #388C2×D59semidirect
906. #388C2×D59semidirect
917. #387C2×D59semidirect
918. #387C2×D59semidirect
958. #382C2×D59semidirect
964. #380C2×D59semidirect
973. C4×C4⋊C4C2×D59semidirect
991. C59#34416semidirect
1043. C4×D4C4×D59semidirect
1277. C22×C4C2×C4×D59semidirect
1320. C4⋊C4C2×C4×D59semidirect
1362. C22⋊C4C2×C4×D59semidirect
1380. C42C2×C4×D59semidirect

Maximal subgroups

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

subgroupindex
C2×#168379852
#214272862
#214272672
#214272492
#214272402
#214272152
#214271742
#214271652
#214271442
#214271092
#214271072
#214271022
#214270882
#214270382
#214270062
C4⋊C4×C22⋊D592
#214269032
#214268852
#214268712
#214268672
#214268052
#214267962
#214267892
#214267692
#214267592
#214267562
#214266932
#214266012
C4×#142736972
C2×#168372732
C59×#23522
#3441659