Finite Group Databasebeta

← #28752231

Subgroups — #28752231

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×#16837990C211yesmaximal, characteristic
2#21427284C211yesmaximal, characteristic, complemented
3#21427269C211yesmaximal, characteristic, complemented
4#21427252C211yesmaximal, characteristic, complemented
5#21427245C211yesmaximal, characteristic, complemented
6#21427211C211yesmaximal, characteristic, complemented
7#21427176C211yesmaximal, characteristic, complemented
8#21427164C211yesmaximal, characteristic, complemented
9#21427143C211yesmaximal, characteristic, complemented
10#21427115C211yesmaximal, characteristic, complemented
11#21427112C211yesmaximal, characteristic, complemented
12#21427101C211yesmaximal, characteristic, complemented
13#21427091C211yesmaximal, characteristic, complemented
14#21427032C211yesmaximal, characteristic, complemented
15#21427021C211yesmaximal, characteristic, complemented
16#21427003C211yesmaximal, characteristic, complemented
17C4⋊C4×C22⋊D59C211yesmaximal, characteristic, complemented
18#21426910C211yesmaximal, characteristic, complemented
19#21426881C211yesmaximal, characteristic, complemented
20#21426872C211yesmaximal, characteristic, complemented
21#21426866C211yesmaximal, characteristic, complemented
22#21426802C211yesmaximal, characteristic, complemented
23#21426793C211yesmaximal, characteristic, complemented
24#21426788C211yesmaximal, characteristic, complemented
25#21426763C211yesmaximal, characteristic, complemented
26#21426754C211yesmaximal, characteristic, complemented
27#21426754C211yesmaximal, characteristic, complemented
28#21426694C211yesmaximal, characteristic, complemented
29C4×#14273696C211yesmaximal, characteristic, complemented
30C4×#14273696C211yesmaximal, characteristic, complemented
31C2×C59×#385C211yesmaximal, characteristic, complemented
32#16837990C4116yescomplemented
33C2×#14273720C2211yescharacteristic
34C2×#14273720C2211yescharacteristic
35C2×#14273713C2211yescharacteristic
36C2×#14273713C2211yescharacteristic
37C2×#14273709C2211yescharacteristic
38C2×#14273709C2211yescharacteristic
39C2×#14273706C2211yescharacteristic
40C2×#14273701C2211yescharacteristic
41C2×#14273700C2211yescharacteristic
42C2×#14273700C2211yescharacteristic
43C2×#14273696C2211yescharacteristic
44C2×#14273696C2211yescharacteristic
45C2×#14273692C2211yescharacteristic, complemented
46C2×#14273689C2211yescharacteristic, complemented
47C2×C4×C22⋊D59C2211yescharacteristic
48C2×C4×C22⋊D59C2211yescharacteristic
49C2×C4×C22⋊D59C2211yescharacteristic
50C2×C4×C22⋊D59C2211yescharacteristic
51C2×C4×C22⋊D59C2211yescharacteristic
52C2×C4×C22⋊D59C2211yescharacteristic
53C2×C4×C22⋊D59C2211yescharacteristic
54C2×C4×C22⋊D59C2211yescharacteristic
55C2×C4×C22⋊D59C2211yescharacteristic
56C2×C4×C22⋊D59C2211yescharacteristic
57C2×#14273685C2211yescharacteristic, complemented
58C2×C4⋊C4×D59C2211yescharacteristic, complemented
59#16837307C2211yescharacteristic, complemented
60#16837306C2211yescharacteristic, complemented
61#16837306C2211yescharacteristic, complemented
62#16837303C2211yescharacteristic, complemented
63#16837302C2211yescharacteristic
64#16837302C2211yescharacteristic
65#16837302C2211yescharacteristic
66#16837302C2211yescharacteristic
67#16837299C2211yescharacteristic, complemented
68#16837299C2211yescharacteristic, complemented
69#16837298C2211yescharacteristic, complemented
70#16837298C2211yescharacteristic, complemented
71#16837297C2211yescharacteristic, complemented
72#16837297C2211yescharacteristic, complemented
73#16837297C2211yescharacteristic, complemented
74#16837297C2211yescharacteristic, complemented
75#16837296C2211yescharacteristic
76#16837296C2211yescharacteristic
77#16837296C2211yescharacteristic
78#16837296C2211yescharacteristic
79#16837295C2211yescharacteristic
80#16837295C2211yescharacteristic
81#16837295C2211yescharacteristic
82#16837295C2211yescharacteristic
83#16837295C2211yescharacteristic
84#16837295C2211yescharacteristic
85#16837295C2211yescharacteristic
86#16837295C2211yescharacteristic
87#16837294C2211yescharacteristic, complemented
88#16837294C2211yescharacteristic, complemented
89#16837292C2211yescharacteristic, complemented
90#16837292C2211yescharacteristic, complemented
91#16837292C2211yescharacteristic, complemented
92#16837292C2211yescharacteristic, complemented
93#16837291C2211yescharacteristic, complemented
94#16837291C2211yescharacteristic, complemented
95#16837290C2211yescharacteristic
96#16837290C2211yescharacteristic
97#16837290C2211yescharacteristic
98#16837290C2211yescharacteristic
99#16837289C2211yescharacteristic, complemented
100#16837289C2211yescharacteristic, complemented
101#16837287C2211yescharacteristic, complemented
102#16837287C2211yescharacteristic, complemented
103#16837285C2211yescharacteristic, complemented
104#16837285C2211yescharacteristic, complemented
105#16837284C2211yescharacteristic, complemented
106#16837284C2211yescharacteristic, complemented
107#16837283C2211yescharacteristic, complemented
108#16837283C2211yescharacteristic, complemented
109#16837283C2211yescharacteristic, complemented
110#16837283C2211yescharacteristic, complemented
111#16837281C2211yescharacteristic
112#16837281C2211yescharacteristic
113#16837281C2211yescharacteristic
114#16837281C2211yescharacteristic
115#16837281C2211yescharacteristic
116#16837281C2211yescharacteristic
117#16837281C2211yescharacteristic
118#16837281C2211yescharacteristic
119#16837280C2211yescharacteristic, complemented
120#16837280C2211yescharacteristic, complemented
121#16837278C2211yescharacteristic
122#16837278C2211yescharacteristic
123#16837278C2211yescharacteristic
124#16837278C2211yescharacteristic
125#16837276C2211yescharacteristic, complemented
126#16837276C2211yescharacteristic, complemented
127#16837275C2211yescharacteristic
128#16837275C2211yescharacteristic
129#16837275C2211yescharacteristic
130#16837275C2211yescharacteristic
131#16837275C2211yescharacteristic
132#16837275C2211yescharacteristic
133#16837275C2211yescharacteristic
134#16837275C2211yescharacteristic
135#16837273C2211yescharacteristic, complemented
136#16837273C2211yescharacteristic, complemented
137#16837273C2211yescharacteristic, complemented
138#16837273C2211yescharacteristic, complemented
139#16837271C2211yescharacteristic, complemented
140#16837269C2211yescharacteristic, complemented
141#16837267C2211yescharacteristic, complemented
142#16837266C2211yescharacteristic, complemented
143#16837264C2211yescharacteristic, complemented
144#16837262C2211yescharacteristic
145#16837262C2211yescharacteristic
146#16837261C2211yescharacteristic, complemented
147#16837259C2211yescharacteristic, complemented
148#16837259C2211yescharacteristic, complemented
149#16837258C2211yescharacteristic
150#16837258C2211yescharacteristic
151C4⋊C4×Dic59C2211yescharacteristic, complemented
152C4⋊C4×Dic59C2211yescharacteristic, complemented
153C4⋊C4×Dic59C2211yescharacteristic, complemented
154C4⋊C4×Dic59C2211yescharacteristic, complemented
155#16837253C2211yescharacteristic, complemented
156#16837253C2211yescharacteristic, complemented
157#16837253C2211yescharacteristic, complemented
158C4×C22⋊Dic59C2211yescharacteristic
159C4×C22⋊Dic59C2211yescharacteristic
160C4×C22⋊Dic59C2211yescharacteristic
161C4×C22⋊Dic59C2211yescharacteristic
162C4×C22⋊Dic59C2211yescharacteristic
163C4×C22⋊Dic59C2211yescharacteristic
164C4×C22⋊Dic59C2211yescharacteristic
165C4×C22⋊Dic59C2211yescharacteristic
166C4×C22⋊Dic59C2211yescharacteristic
167C4×C22⋊Dic59C2211yescharacteristic
168#16837249C2211yescharacteristic, complemented
169#16837249C2211yescharacteristic, complemented
170#16837249C2211yescharacteristic, complemented
171#16837247C2211yescharacteristic, complemented
172#95×D59C2211yescharacteristic, complemented
173C24×C4×C59C2211yescharacteristic
174C22×C4⋊C4×C59C2211yescharacteristic
175C22×C4⋊C4×C59C2211yescharacteristic
176C22×C22⋊C4×C59C2211yescharacteristic
177C22×C22⋊C4×C59C2211yescharacteristic
178C59×#385C2211yescharacteristic
179C59×#385C2211yescharacteristic
180C59×#385C2211yescharacteristic
181C59×#385C2211yescharacteristic
182C59×#385C2211yescharacteristic
183C59×#385C2211yescharacteristic
184C59×#385C2211yescharacteristic
185C59×#385C2211yescharacteristic
186C2×#95×C59C2211yescharacteristic
187C2×#95×C59C2211yescharacteristic
188C22×Dic118C2311yescharacteristic
189C22×D236C2311yescharacteristic
190C22×C22⋊D59C2311yescharacteristic
191C22×C22⋊D59C2311yescharacteristic
192C22×C22⋊D59C2311yescharacteristic
193C22×C22⋊D59C2311yescharacteristic
194C22×C22⋊D59C2311yescharacteristic
195C22×C22⋊D59C2311yescharacteristic
196C22×C4×D59C2311yescharacteristic
197C22×C4×D59C2311yescharacteristic
198C22×C4×D59C2311yescharacteristic
199C22×C4×D59C2311yescharacteristic
200C22×C4×D59C2311yescharacteristic
201C22×C4×D59C2311yescharacteristic
202#14273720C2×C418yescomplemented
203#14273720C2×C418yescomplemented
204#14273713C2×C418yescomplemented
205#14273713C2×C418yescomplemented
206#14273709C2×C418yescomplemented
207#14273709C2×C418yescomplemented
208#14273706C2×C418yescomplemented
209#14273701C2×C418yescomplemented
210#14273700C2×C418yescomplemented
211#14273700C2×C418yescomplemented
212#14273696C2×C418yescomplemented
213#14273696C2×C418yescomplemented
214#14273692—42no—
215#14273689—42no—
216C4×C22⋊D59—42no—
217C4×C22⋊D59—42no—
218C4×C22⋊D59—42no—
219C4×C22⋊D59—42no—
220C4×C22⋊D59—42no—
221C4×C22⋊D59—42no—
222C4×C22⋊D59—42no—
223C4×C22⋊D59—42no—
224C4×C22⋊D59C2×C418yescomplemented
225C4×C22⋊D59C2×C418yescomplemented
226#14273685—42no—
227C2×C4⋊Dic59C2311yescharacteristic
228C2×C4⋊Dic59C2311yescharacteristic
229C2×C4⋊Dic59C2311yescharacteristic
230C2×C4⋊Dic59C2311yescharacteristic
231C2×C4⋊Dic59C2311yescharacteristic
232C2×C4⋊Dic59C2311yescharacteristic
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
249C4⋊C4×D59—42no—
250C2×C22⋊Dic59C2311yescharacteristic
251C2×C22⋊Dic59C2311yescharacteristic
252C2×C22⋊Dic59C2311yescharacteristic
253C2×C22⋊Dic59C2311yescharacteristic
254C2×C22⋊Dic59C2311yescharacteristic
255C2×C22⋊Dic59C2311yescharacteristic
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×(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×C4×Dic59C2311yescharacteristic
285C2×C4×Dic59C2311yescharacteristic
286C2×C4×Dic59C2311yescharacteristic
287C2×C4×Dic59C2311yescharacteristic
288C2×C4×Dic59C2311yescharacteristic
289C2×C4×Dic59C2311yescharacteristic
290C2×C4×Dic59C2311yescharacteristic
291C2×C4×Dic59C2311yescharacteristic
292C2×C4×Dic59C2311yescharacteristic
293C2×C4×Dic59C2311yescharacteristic
294C2×C4×Dic59C2311yescharacteristic
295C2×C4×Dic59C2311yescharacteristic
296C2×C4×Dic59C2311yescharacteristic
297C2×C4×Dic59C2311yescharacteristic
298C2×C4×Dic59C2311yescharacteristic
299C2×C4×Dic59C2311yescharacteristic
300C2×C4×Dic59C2311yescharacteristic
301C2×C4×Dic59C2311yescharacteristic
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
334C25×C59C2311yescharacteristic
335C23×C4×C59—42no—
336C23×C4×C59—42no—
337C23×C4×C59—42no—
338C23×C4×C59C2311yescharacteristic
339C23×C4×C59C2311yescharacteristic
340C23×C4×C59C2311yescharacteristic
341C23×C4×C59C2311yescharacteristic
342C23×C4×C59C2311yescharacteristic
343C23×C4×C59C2311yescharacteristic
344C23×C4×C59C2311yescharacteristic
345C23×C4×C59C2311yescharacteristic
346C23×C4×C59C2311yescharacteristic
347C23×C4×C59C2311yescharacteristic
348C2×C4⋊C4×C59—42no—
349C2×C4⋊C4×C59—42no—
350C2×C4⋊C4×C59C2311yescharacteristic
351C2×C4⋊C4×C59C2311yescharacteristic
352C2×C4⋊C4×C59C2311yescharacteristic
353C2×C4⋊C4×C59C2311yescharacteristic
354C2×C4⋊C4×C59C2311yescharacteristic
355C2×C4⋊C4×C59C2311yescharacteristic
356C2×C4⋊C4×C59C2311yescharacteristic
357C2×C4⋊C4×C59C2311yescharacteristic
358C2×C22⋊C4×C59—42no—
359C2×C22⋊C4×C59C2×C418yescomplemented
360C2×C22⋊C4×C59C2311yescharacteristic
361C2×C22⋊C4×C59C2311yescharacteristic
362C2×C22⋊C4×C59C2311yescharacteristic
363C2×C22⋊C4×C59C2311yescharacteristic
364C2×C22⋊C4×C59C2311yescharacteristic
365C2×C22⋊C4×C59C2311yescharacteristic
366C2×C22⋊C4×C59C2311yescharacteristic
367C2×C22⋊C4×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×C59—22no—
377C24×C59—22no—
378C24×C59—41no—
379C24×C59—41no—
380C24×C59—41no—
381C24×C59—41no—
382C24×C59C22×C414yes—
383C24×C59C2411yescharacteristic
384C24×C59C2411yescharacteristic
385C24×C59C2411yescharacteristic
386C23×D59C2411yescharacteristic
387C23×D59C2411yescharacteristic
388C22×C4×C59—22no—
389C22×C4×C59—22no—
390C22×C4×C59—22no—
391C22×C4×C59—22no—
392C22×C4×C59—22no—
393C22×C4×C59—22no—
394C22×C4×C59—22no—
395C22×C4×C59—22no—
396C22×C4×C59—22no—
397C22×C4×C59—22no—
398C22×C4×C59—41no—
399C22×C4×C59—41no—
400C22×C4×C59—41no—
401C22×C4×C59—41no—
402C22×C4×C59—41no—
403C22×C4×C59—41no—
404C22×C4×C59—41no—
405C22×C4×C59—41no—
406C22×C4×C59—41no—
407C22×C4×C59—41no—
408C22×C4×C59—41no—
409C22×C4×C59—41no—
410C22×C4×C59—41no—
411C22×C4×C59—41no—
412C22×C4×C59—41no—
413C22×C4×C59—41no—
414C22×C4×C59—41no—
415C22×C4×C59—41no—
416C22×C4×C59—416no—
417C22×C4×C59C22×C414yes—
418C22×C4×C59C22×C414yes—
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—41no—
436C2×C22⋊D59—41no—
437C2×C22⋊D59—41no—
438C2×C22⋊D59—41no—
439C2×C22⋊D59—41no—
440C2×C22⋊D59—41no—
441C2×C22⋊D59—41no—
442C2×C22⋊D59—41no—
443C2×C22⋊D59C22×C414yes—
444C2×C22⋊D59C22×C414yes—
445C2×C22⋊D59C22×C414yes—
446C2×C22⋊D59C22×C414yes—
447C2×C22⋊D59C22×C414yes—
448C2×C22⋊D59C22×C414yes—
449C22×Dic59C2411yescharacteristic
450C22×Dic59C2411yescharacteristic
451C22×Dic59C2411yescharacteristic
452C22×Dic59C2411yescharacteristic
453C22×Dic59C2411yescharacteristic
454C22×Dic59C2411yescharacteristic
455C22×Dic59C2411yescharacteristic
456C22×Dic59C2411yescharacteristic
457C22×Dic59C2411yescharacteristic
458C22×Dic59C2411yescharacteristic
459C22×Dic59C2411yescharacteristic
460C22×Dic59C2411yescharacteristic
461C22×Dic59C2411yescharacteristic
462C22×Dic59C2411yescharacteristic
463C2×D236—41no—
464C2×D236—41no—
465C2×D236C22×C414yescomplemented
466C2×C4×D59—22no—
467C2×C4×D59—22no—
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—41no—
478C2×C4×D59—41no—
479C2×C4×D59—41no—
480C2×C4×D59—41no—
481C2×C4×D59—41no—
482C2×C4×D59C22×C414yescomplemented
483C2×C4×D59C22×C414yescomplemented
484C2×Dic118—41no—
485C2×Dic118—41no—
486C2×Dic118C22×C414yescomplemented
487C4⋊C4×C59—22no—
488C4⋊C4×C59—22no—
489C4⋊C4×C59—22no—
490C4⋊C4×C59—22no—
491C4⋊C4×C59—41no—
492C4⋊C4×C59—41no—
493C4⋊C4×C59—41no—
494C4⋊C4×C59—41no—
495C22⋊C4×C59—41no—
496C22⋊C4×C59—41no—
497C22⋊C4×C59—41no—
498C22⋊C4×C59—41no—
499C22⋊C4×C59C22×C414yes—
500C22⋊C4×C59C22×C414yes—
501C22⋊C4×C59C22×C414yes—
502C22⋊C4×C59C22×C414yes—
503C22⋊Dic59—22no—
504C22⋊Dic59—22no—
505C22⋊Dic59—22no—
506C22⋊Dic59—22no—
507C22⋊Dic59—41no—
508C22⋊Dic59—41no—
509C22⋊Dic59—41no—
510C22⋊Dic59—41no—
511C22⋊Dic59—41no—
512C22⋊Dic59—41no—
513C22⋊Dic59—41no—
514C22⋊Dic59—41no—
515C22⋊Dic59C22×C414yes—
516C22⋊Dic59C22×C414yes—
517C22⋊Dic59C22×C414yes—
518C22⋊Dic59C22×C414yes—
519C22⋊Dic59C22×C414yes—
520C22⋊Dic59C22×C414yes—
521(C2×D59)⋊C4—22no—
522(C2×D59)⋊C4—22no—
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)⋊C4—41no—
532(C2×D59)⋊C4—41no—
533(C2×D59)⋊C4C22×C414yescomplemented
534(C2×D59)⋊C4C22×C414yescomplemented
535(C2×D59)⋊C4C22×C414yescomplemented
536(C2×D59)⋊C4C22×C414yescomplemented
537C4⋊Dic59—41no—
538C4⋊Dic59—41no—
539C4⋊Dic59—41no—
540C4⋊Dic59—41no—
541C4⋊Dic59C22×C414yescomplemented
542C4⋊Dic59C22×C414yescomplemented
543Dic59⋊C4—22no—
544Dic59⋊C4—22no—
545Dic59⋊C4—41no—
546Dic59⋊C4—41no—
547Dic59⋊C4—41no—
548Dic59⋊C4—41no—
549Dic59⋊C4—41no—
550Dic59⋊C4—41no—
551Dic59⋊C4—41no—
552Dic59⋊C4—41no—
553Dic59⋊C4—41no—
554Dic59⋊C4—41no—
555Dic59⋊C4C22×C414yescomplemented
556Dic59⋊C4C22×C414yescomplemented
557Dic59⋊C4C22×C414yescomplemented
558Dic59⋊C4C22×C414yescomplemented
559C4×Dic59—22no—
560C4×Dic59—22no—
561C4×Dic59—41no—
562C4×Dic59—41no—
563C4×Dic59—41no—
564C4×Dic59—41no—
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×Dic59C22×C414yescomplemented
576C4×Dic59C22×C414yescomplemented
577C23×C59—21no—
578C23×C59—21no—
579C23×C59—21no—
580C23×C59—21no—
581C23×C59—28no—
582C23×C59—21no—
583C23×C59—21no—
584C23×C59—21no—
585C23×C59—21no—
586C23×C59—21no—
587C23×C59—21no—
588C23×C59—21no—
589C23×C59—21no—
590C23×C59—21no—
591C23×C59—21no—
592C23×C59—21no—
593C23×C59—21no—
594C23×C59—44no—
595C23×C59—44no—
596C23×C59—44no—
597C23×C59—44no—
598C23×C59—44no—
599C23×C59—44no—
600C23×C59C23×C412yes—
601C23×C59C23×C412yes—
602C23×C59C23×C412yes—
603C23×C59H(5,𝔽2)12yes—
604C23×C592−1+412yes—
605C23×C59C2511yescharacteristic
606C22×D59—21no—
607C22×D59—21no—
608C22×D59—21no—
609C22×D59—21no—
610C22×D59—21no—
611C22×D59—21no—
612C22×D59—21no—
613C22×D59—21no—
614C22×D59—21no—
615C22×D59—21no—
616C22×D59—21no—
617C22×D59—21no—
618C22×D59C23×C412yes—
619C22×D59C23×C412yes—
620C2×C4×C59—21no—
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—44no—
651C2×C4×C59—44no—
652C2×C4×C59—44no—
653C2×C4×C59—44no—
654C2×C4×C59—44no—
655C2×C4×C59—44no—
656C2×C4×C59—44no—
657C2×C4×C59—44no—
658C2×C4×C59—82no—
659C2×C4×C59—82no—
660C2×C4×C59C23×C412yes—
661C2×C4×C59C23×C412yes—
662C2×C4×C59C23×C412yes—
663C2×C4×C59C23×C412yes—
664C2×C4×C59H(5,𝔽2)12yes—
665C2×C4×C59H(5,𝔽2)12yes—
666C22⋊D59—28no—
667C22⋊D59—28no—
668C22⋊D59—44no—
669C22⋊D59—44no—
670C22⋊D59—44no—
671C22⋊D59—44no—
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—21no—
702C2×Dic59—21no—
703C2×Dic59—21no—
704C2×Dic59—21no—
705C2×Dic59—21no—
706C2×Dic59—21no—
707C2×Dic59—21no—
708C2×Dic59C23×C412yes—
709C2×Dic59C23×C412yes—
710C2×Dic59C23×C412yes—
711C2×Dic59C23×C412yes—
712C2×Dic59C23×C412yes—
713C2×Dic59C23×C412yes—
714D236—44no—
715C4×D59—44no—
716C4×D59—44no—
717C4×D59—82no—
718C4×D59—82no—
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—22no—
733C22×C59—22no—
734C22×C59—22no—
735C22×C59—416no—
736C22×C59—41no—
737C22×C59—41no—
738C22×C59—41no—
739C22×C59—41no—
740C22×C59—41no—
741C22×C59—41no—
742C22×C59—41no—
743C22×C59—41no—
744C22×C59#52014yes—
745C22×C59C24×C411yescharacteristic
746C22×C59C2×H(5,𝔽2)11yescharacteristic
747C22×C59C2×H(5,𝔽2)11yescharacteristic
748C22×C59C2×H(5,𝔽2)11yescharacteristic
749C22×C59C2×2−1+411yescharacteristic
750C22×C59#58511yescharacteristic
751C22×C59#58511yescharacteristic
752C2×D59—22no—
753C2×D59—22no—
754C2×D59—22no—
755C2×D59—22no—
756C2×D59—22no—
757C2×D59—22no—
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—
778Dic59—22no—
779Dic59—22no—
780Dic59—22no—
781Dic59—22no—
782Dic59—22no—
783Dic59—22no—
784Dic59—41no—
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#2352—591no—
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×#385D5911yescharacteristic, complemented
823C2×C59—24no—
824C2×C59—42no—
825C2×C59—42no—
826C2×C59C2×#52011yescharacteristic
827C2×C59C4×H(5,𝔽2)11yescharacteristic
828C2×C59C4×H(5,𝔽2)11yescharacteristic
829C2×C59#353211yescharacteristic
830C2×C59#353311yescharacteristic
831C2×C59#354111yescharacteristic
832C2×C59#354111yescharacteristic
833D59—42no—
834D59—42no—
835C24×C4C2×D5911yescharacteristic
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×D4—591no—
861C2×#117—591no—
862C22×C4⋊C4—591no—
863C22×C4⋊C4C2×D5911yescharacteristic
864C22×C4⋊C4C2×D5911yescharacteristic
865C22×C22⋊C4C2×D5911yescharacteristic
866C22×C22⋊C4C2×D5911yescharacteristic
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#388—591no—
906#388—591no—
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#387—591no—
918#387—591no—
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#386—591no—
932#386—591no—
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#385C2×D5911yescharacteristic
948#385C2×D5911yescharacteristic
949#385C2×D5911yescharacteristic
950#385C2×D5911yescharacteristic
951#385C2×D5911yescharacteristic
952#385C2×D5911yescharacteristic
953#385C2×D5911yescharacteristic
954#385C2×D5911yescharacteristic
955#384—591no—
956#383—591no—
957#382—591no—
958#382—591no—
959#381—591no—
960#380—591no—
961#380—591no—
962#380—591no—
963#380—591no—
964#380—591no—
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⋊C4—591no—
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⋊C4—591no—
986C4×C22⋊C4—591no—
987#376—591no—
988C2×#95—591no—
989C2×#95C2×D5911yescharacteristic
990C2×#95C2×D5911yescharacteristic
991C59#3441611yescharacteristic, complemented, Sylow
992C25C22×D5911yescharacteristic
993C22×Q8—591no—
994C22×D4—591no—
995C22×D4—591no—
996C22×D4—591no—
997C22×D4—591no—
998C22×D4—591no—
999C22×D4—591no—
1000C22×D4—591no—
1001C23×C4—42no—
1002C23×C4—42no—
1003C23×C4—42no—
1004C23×C4—591no—
1005C23×C4—591no—
1006C23×C4—591no—
1007C23×C4—591no—
1008C23×C4—591no—
1009C23×C4—591no—
1010C23×C4C22×D5911yescharacteristic
1011C23×C4C22×D5911yescharacteristic
1012C23×C4C22×D5911yescharacteristic
1013C23×C4C22×D5911yescharacteristic
1014C23×C4C22×D5911yescharacteristic
1015C23×C4C22×D5911yescharacteristic
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—598no—
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×D4—2362no—
1044#117—2362no—
1045C2×C4⋊C4—42no—
1046C2×C4⋊C4—42no—
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⋊C4C22×D5911yescharacteristic
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—42no—
1079C2×C22⋊C4—591no—
1080C2×C22⋊C4—591no—
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⋊C4C4×D5918yescomplemented
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×C42—591no—
1136C2×C42—591no—
1137C2×C42—591no—
1138C2×C42—591no—
1139C2×C42—591no—
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#95—591no—
1171#95—591no—
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—22no—
1181C24—22no—
1182C24—41no—
1183C24—41no—
1184C24—41no—
1185C24—41no—
1186C24—591no—
1187C24—591no—
1188C24C2×C4×D5914yes—
1189C24C23×D5911yescharacteristic
1190C24C23×D5911yescharacteristic
1191C24C23×D5911yescharacteristic
1192C2×Q8—594no—
1193C2×Q8—2361no—
1194C2×Q8—2361no—
1195C2×D4—594no—
1196C2×D4—594no—
1197C2×D4—594no—
1198C2×D4—594no—
1199C2×D4—594no—
1200C2×D4—594no—
1201C2×D4—594no—
1202C2×D4—1182no—
1203C2×D4—1182no—
1204C2×D4—1182no—
1205C2×D4—1182no—
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×D4—2361no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—22no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—41no—
1227C22×C4—41no—
1228C22×C4—41no—
1229C22×C4—41no—
1230C22×C4—41no—
1231C22×C4—41no—
1232C22×C4—41no—
1233C22×C4—41no—
1234C22×C4—41no—
1235C22×C4—41no—
1236C22×C4—41no—
1237C22×C4—41no—
1238C22×C4—41no—
1239C22×C4—41no—
1240C22×C4—41no—
1241C22×C4—41no—
1242C22×C4—41no—
1243C22×C4—41no—
1244C22×C4—416no—
1245C22×C4—591no—
1246C22×C4—591no—
1247C22×C4—591no—
1248C22×C4—591no—
1249C22×C4—591no—
1250C22×C4—591no—
1251C22×C4—594no—
1252C22×C4—594no—
1253C22×C4—591no—
1254C22×C4—591no—
1255C22×C4—591no—
1256C22×C4—591no—
1257C22×C4—591no—
1258C22×C4—591no—
1259C22×C4—591no—
1260C22×C4—591no—
1261C22×C4—1182no—
1262C22×C4—1182no—
1263C22×C4—2361no—
1264C22×C4—2361no—
1265C22×C4—2361no—
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×C4—2361no—
1277C22×C4C2×C4×D5914yes—
1278C22×C4C2×C4×D5914yes—
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—22no—
1294C4⋊C4—22no—
1295C4⋊C4—41no—
1296C4⋊C4—41no—
1297C4⋊C4—41no—
1298C4⋊C4—41no—
1299C4⋊C4—594no—
1300C4⋊C4—594no—
1301C4⋊C4—594no—
1302C4⋊C4—594no—
1303C4⋊C4—594no—
1304C4⋊C4—594no—
1305C4⋊C4—1182no—
1306C4⋊C4—1182no—
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⋊C4—2361no—
1321C22⋊C4—41no—
1322C22⋊C4—41no—
1323C22⋊C4—41no—
1324C22⋊C4—41no—
1325C22⋊C4—594no—
1326C22⋊C4—594no—
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—1182no—
1336C22⋊C4—1182no—
1337C22⋊C4—1182no—
1338C22⋊C4—1182no—
1339C22⋊C4—1182no—
1340C22⋊C4—1182no—
1341C22⋊C4—2361no—
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⋊C4C2×C4×D5914yes—
1360C22⋊C4C2×C4×D5914yes—
1361C22⋊C4C2×C4×D5914yes—
1362C22⋊C4C2×C4×D5914yes—
1363C42—594no—
1364C42—594no—
1365C42—1182no—
1366C42—1182no—
1367C42—2361no—
1368C42—2361no—
1369C42—2361no—
1370C42—2361no—
1371C42—2361no—
1372C42—2361no—
1373C42—2361no—
1374C42—2361no—
1375C42—2361no—
1376C42—2361no—
1377C42—2361no—
1378C42—2361no—
1379C42—2361no—
1380C42—2361no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—28no—
1398C23—44no—
1399C23—44no—
1400C23—44no—
1401C23—44no—
1402C23—44no—
1403C23—44no—
1404C23—592no—
1405C23—592no—
1406C23—1181no—
1407C23—1181no—
1408C23—1181no—
1409C23—1181no—
1410C23—1181no—
1411C23—1181no—
1412C23—1181no—
1413C23—1181no—
1414C23—1181no—
1415C23—1181no—
1416C23—1181no—
1417C23—1181no—
1418C23C22×C4×D5912yes—
1419C23C22×C4×D5912yes—
1420C23C22×C4×D5912yes—
1421C23#1427377212yes—
1422C23#1427377512yes—
1423C23C24×D5911yescharacteristic
1424Q8—2364no—
1425D4—1188no—
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—44no—
1463C2×C4—44no—
1464C2×C4—44no—
1465C2×C4—44no—
1466C2×C4—44no—
1467C2×C4—44no—
1468C2×C4—44no—
1469C2×C4—44no—
1470C2×C4—82no—
1471C2×C4—82no—
1472C2×C4—592no—
1473C2×C4—592no—
1474C2×C4—592no—
1475C2×C4—592no—
1476C2×C4—592no—
1477C2×C4—592no—
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—1181no—
1509C2×C4—1181no—
1510C2×C4—1181no—
1511C2×C4—1181no—
1512C2×C4—1181no—
1513C2×C4—1181no—
1514C2×C4—4722no—
1515C2×C4—4722no—
1516C2×C4—4722no—
1517C2×C4—4722no—
1518C2×C4—2364no—
1519C2×C4—2364no—
1520C2×C4C22×C4×D5912yes—
1521C2×C4C22×C4×D5912yes—
1522C2×C4C22×C4×D5912yes—
1523C2×C4C22×C4×D5912yes—
1524C2×C4#1427377212yes—
1525C2×C4#1427377212yes—
1526C22—22no—
1527C22—22no—
1528C22—22no—
1529C22—22no—
1530C22—22no—
1531C22—22no—
1532C22—22no—
1533C22—22no—
1534C22—22no—
1535C22—22no—
1536C22—22no—
1537C22—22no—
1538C22—416no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—1182no—
1548C22—1182no—
1549C22—1182no—
1550C22—1182no—
1551C22—1182no—
1552C22—1182no—
1553C22—2361no—
1554C22—2361no—
1555C22—2361no—
1556C22—2361no—
1557C22—2361no—
1558C22—2361no—
1559C22—2361no—
1560C22—2361no—
1561C22#1683788314yes—
1562C22C23×C4×D5911yescharacteristic
1563C22C2×#1427377211yescharacteristic
1564C22C2×#1427377211yescharacteristic
1565C22C2×#1427377211yescharacteristic
1566C22C2×#1427377511yescharacteristic
1567C22#1683823811yescharacteristic
1568C22#1683823811yescharacteristic
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—1182no—
1582C4—1182no—
1583C4—1182no—
1584C4—1182no—
1585C4—1182no—
1586C4—1182no—
1587C4—2361no—
1588C4—2361no—
1589C4—2361no—
1590C4—2361no—
1591C4—2361no—
1592C4—2361no—
1593C4—2361no—
1594C4—2361no—
1595C2—24no—
1596C2—42no—
1597C2—42no—
1598C2—2362no—
1599C2—2362no—
1600C2C2×#1683788311yescharacteristic
1601C2C4×#1427377211yescharacteristic
1602C2C4×#1427377211yescharacteristic
1603C2#2143825111yescharacteristic
1604C2#2143826711yescharacteristic
1605C2#2143839311yescharacteristic
1606C2#2143839311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutatorC22×C59C24×C4
FittingC2×C59×#385C2
socle, cosocleC23×C59C25
prime radicalC2×#16837990C2
hypercenterC2×#385D59
hypocenterC59#34416
LCSG ▷ C22×C59 ▷ C59
UCSC1 ◁ C23 ◁ C2×#385

Complements

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

NH ≅ G/Ntype
2. #21427284C2semidirect
3. #21427269C2semidirect
4. #21427252C2semidirect
5. #21427245C2semidirect
6. #21427211C2semidirect
7. #21427176C2semidirect
8. #21427164C2semidirect
9. #21427143C2semidirect
10. #21427115C2semidirect
11. #21427112C2semidirect
12. #21427101C2semidirect
13. #21427091C2semidirect
14. #21427032C2semidirect
15. #21427021C2semidirect
16. #21427003C2semidirect
17. C4⋊C4×C22⋊D59C2semidirect
18. #21426910C2semidirect
19. #21426881C2semidirect
20. #21426872C2semidirect
21. #21426866C2semidirect
22. #21426802C2semidirect
23. #21426793C2semidirect
24. #21426788C2semidirect
25. #21426763C2semidirect
26. #21426754C2semidirect
27. #21426754C2semidirect
28. #21426694C2semidirect
29. C4×#14273696C2semidirect
30. C4×#14273696C2semidirect
31. C2×C59×#385C2semidirect
32. #16837990C4semidirect
45. C2×#14273692C22semidirect
46. C2×#14273689C22semidirect
57. C2×#14273685C22semidirect
58. C2×C4⋊C4×D59C22semidirect
59. #16837307C22semidirect
60. #16837306C22semidirect
61. #16837306C22semidirect
62. #16837303C22semidirect
67. #16837299C22semidirect
68. #16837299C22semidirect
69. #16837298C22semidirect
70. #16837298C22semidirect
71. #16837297C22semidirect
72. #16837297C22semidirect
73. #16837297C22semidirect
74. #16837297C22semidirect
87. #16837294C22semidirect
88. #16837294C22semidirect
89. #16837292C22semidirect
90. #16837292C22semidirect
91. #16837292C22semidirect
92. #16837292C22semidirect
93. #16837291C22semidirect
94. #16837291C22semidirect
99. #16837289C22semidirect
100. #16837289C22semidirect
101. #16837287C22semidirect
102. #16837287C22semidirect
103. #16837285C22semidirect
104. #16837285C22semidirect
105. #16837284C22semidirect
106. #16837284C22semidirect
107. #16837283C22semidirect
108. #16837283C22semidirect
109. #16837283C22semidirect
110. #16837283C22semidirect
119. #16837280C22semidirect
120. #16837280C22semidirect
125. #16837276C22semidirect
126. #16837276C22semidirect
135. #16837273C22semidirect
136. #16837273C22semidirect
137. #16837273C22semidirect
138. #16837273C22semidirect
139. #16837271C22semidirect
140. #16837269C22semidirect
141. #16837267C22semidirect
142. #16837266C22semidirect
143. #16837264C22semidirect
146. #16837261C22semidirect
147. #16837259C22semidirect
148. #16837259C22semidirect
151. C4⋊C4×Dic59C22semidirect
152. C4⋊C4×Dic59C22semidirect
153. C4⋊C4×Dic59C22semidirect
154. C4⋊C4×Dic59C22semidirect
155. #16837253C22semidirect
156. #16837253C22semidirect
157. #16837253C22semidirect
168. #16837249C22semidirect
169. #16837249C22semidirect
170. #16837249C22semidirect
171. #16837247C22semidirect
172. #95×D59C22semidirect
202. #14273720C2×C4semidirect
203. #14273720C2×C4semidirect
204. #14273713C2×C4semidirect
205. #14273713C2×C4semidirect
206. #14273709C2×C4semidirect
207. #14273709C2×C4semidirect
208. #14273706C2×C4semidirect
209. #14273701C2×C4semidirect
210. #14273700C2×C4semidirect
211. #14273700C2×C4semidirect
212. #14273696C2×C4semidirect
213. #14273696C2×C4semidirect
224. C4×C22⋊D59C2×C4semidirect
225. C4×C22⋊D59C2×C4semidirect
359. C2×C22⋊C4×C59C2×C4semidirect
465. C2×D236C22×C4semidirect
482. C2×C4×D59C22×C4semidirect
483. C2×C4×D59C22×C4semidirect
486. C2×Dic118C22×C4semidirect
533. (C2×D59)⋊C4C22×C4semidirect
534. (C2×D59)⋊C4C22×C4semidirect
535. (C2×D59)⋊C4C22×C4semidirect
536. (C2×D59)⋊C4C22×C4semidirect
541. C4⋊Dic59C22×C4semidirect
542. C4⋊Dic59C22×C4semidirect
555. Dic59⋊C4C22×C4semidirect
556. Dic59⋊C4C22×C4semidirect
557. Dic59⋊C4C22×C4semidirect
558. Dic59⋊C4C22×C4semidirect
575. C4×Dic59C22×C4semidirect
576. C4×Dic59C22×C4semidirect
822. C2×#385D59semidirect
991. C59#34416semidirect
1113. C2×C22⋊C4C4×D59semidirect

Maximal subgroups

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

subgroupindex
C2×#168379902
#214272842
#214272692
#214272522
#214272452
#214272112
#214271762
#214271642
#214271432
#214271152
#214271122
#214271012
#214270912
#214270322
#214270212
#214270032
C4⋊C4×C22⋊D592
#214269102
#214268812
#214268722
#214268662
#214268022
#214267932
#214267882
#214267632
#214267542
#214266942
C4×#142736962
C2×C59×#3852
#3441659