Finite Group Databasebeta

← C2×#21438407 #29495830

Subgroups — C2×#21438407 #29495830

Order 15104.

8122 conjugacy classes of subgroups.

The subgroup lattice has 2160 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438407C2132yesmaximal, direct product factor
2C2×#16838149C211yesmaximal, characteristic, complemented
3C2×#16838147C211yesmaximal, characteristic, complemented
4C2×#16838141C211yesmaximal, characteristic, complemented
5C2×#16838140C211yesmaximal, characteristic, complemented
6C2×#16838116C211yesmaximal, characteristic, complemented
7C2×#16838097C211yesmaximal, characteristic, complemented
8C2×#16838089C211yesmaximal, characteristic, complemented
9C2×#16838078C211yesmaximal, characteristic, complemented
10C2×#16838075C211yesmaximal, characteristic, complemented
11C2×#16838070C211yesmaximal, characteristic, complemented
12C2×#16838050C211yesmaximal, characteristic, complemented
13C2×#16838046C211yesmaximal, characteristic, complemented
14C2×#16838044C211yesmaximal, characteristic, complemented
15C2×#16838042C211yesmaximal, characteristic, complemented
16C2×#16838039C211yesmaximal, characteristic, complemented
17C2×D4×C22⋊D59C211yesmaximal, characteristic, complemented
18C2×#16838020C211yesmaximal, characteristic, complemented
19C2×#16838005C211yesmaximal, characteristic, complemented
20C2×#16838004C211yesmaximal, characteristic, complemented
21C2×#16838002C211yesmaximal, characteristic, complemented
22C2×#16837987C211yesmaximal, characteristic, complemented
23C2×#16837984C211yesmaximal, characteristic, complemented
24C2×#16837981C211yesmaximal, characteristic, complemented
25C2×#16837969C211yesmaximal, characteristic, complemented
26C2×#16837967C211yesmaximal, characteristic, complemented
27C2×#16837967C211yesmaximal, characteristic, complemented
28C2×#16837962C211yesmaximal, characteristic, complemented
29C2×#16837908C211yesmaximal, characteristic, complemented
30C2×#16837908C211yesmaximal, characteristic, complemented
31C22×#14273699C211yesmaximal, characteristic, complemented
32C2×C59×#534C211yesmaximal, characteristic, complemented
33C22×#11745685C2211yescharacteristic, complemented
34C22×#11745685C2211yescharacteristic, complemented
35C22×#11745687C2211yescharacteristic, complemented
36C22×#11745687C2211yescharacteristic, complemented
37C22×#11745687C2211yescharacteristic, complemented
38C23×C22⋊D59C2211yescharacteristic
39C23×C22⋊D59C2211yescharacteristic, complemented
40C23×C22⋊D59C2211yescharacteristic, complemented
41C22×D4×D59C2211yescharacteristic
42C24×Dic59C2211yescharacteristic, complemented
43#16838149C22116yescomplemented
44#16838147C22116yescomplemented
45#16838141C22116yescomplemented
46#16838140C22116yescomplemented
47#16838116C22116yescomplemented
48#16838097C22116yescomplemented
49#16838089C22116yescomplemented
50#16838078C22116yescomplemented
51#16838075C22116yescomplemented
52#16838070C22116yescomplemented
53#16838050C22116yescomplemented
54#16838046C22116yescomplemented
55#16838044C22116yescomplemented
56#16838042C22116yescomplemented
57#16838039C22116yescomplemented
58D4×C22⋊D59C22116yescomplemented
59#16838020C22116yescomplemented
60#16838005C22116yescomplemented
61#16838004C22116yescomplemented
62#16838002C22116yescomplemented
63#16837987C22116yescomplemented
64#16837984C22116yescomplemented
65#16837981C22116yescomplemented
66#16837969C22116yescomplemented
67#16837967C22116yescomplemented
68#16837967C22116yescomplemented
69#16837962C22116yescomplemented
70C2×#14273726C2211yescharacteristic, complemented
71C2×#14273723C2211yescharacteristic, complemented
72C2×#14273723C2211yescharacteristic, complemented
73C2×#14273723C2211yescharacteristic, complemented
74C2×#14273723C2211yescharacteristic, complemented
75C2×#14273723C2211yescharacteristic, complemented
76C2×#14273722C2211yescharacteristic, complemented
77C2×#14273722C2211yescharacteristic, complemented
78C2×#14273720C2211yescharacteristic, complemented
79C2×#14273720C2211yescharacteristic, complemented
80C2×#14273720C2211yescharacteristic, complemented
81C2×#14273720C2211yescharacteristic, complemented
82C2×#14273718C2211yescharacteristic, complemented
83C2×#14273717C2211yescharacteristic, complemented
84C2×#14273717C2211yescharacteristic, complemented
85C2×#14273714C2211yescharacteristic, complemented
86C2×#14273714C2211yescharacteristic, complemented
87C2×#14273714C2211yescharacteristic, complemented
88C2×#14273713C2211yescharacteristic, complemented
89C2×#14273713C2211yescharacteristic, complemented
90C2×#14273713C2211yescharacteristic, complemented
91C2×#14273713C2211yescharacteristic, complemented
92C2×#14273713C2211yescharacteristic, complemented
93C2×#14273713C2211yescharacteristic, complemented
94#16837908C22116yescomplemented
95#16837908C22116yescomplemented
96C2×#14273712C2211yescharacteristic, complemented
97C2×#14273712C2211yescharacteristic, complemented
98C2×#14273711C2211yescharacteristic, complemented
99C2×#14273711C2211yescharacteristic, complemented
100C2×#14273711C2211yescharacteristic, complemented
101C2×#14273711C2211yescharacteristic, complemented
102C2×#14273710C2211yescharacteristic, complemented
103C2×#14273710C2211yescharacteristic, complemented
104C2×#14273709C2211yescharacteristic, complemented
105C2×#14273709C2211yescharacteristic, complemented
106C2×#14273709C2211yescharacteristic, complemented
107C2×#14273709C2211yescharacteristic, complemented
108C2×#14273709C2211yescharacteristic, complemented
109C2×#14273709C2211yescharacteristic, complemented
110C2×#14273708C2211yescharacteristic
111C2×#14273708C2211yescharacteristic, complemented
112C2×#14273708C2211yescharacteristic, complemented
113C2×#14273708C2211yescharacteristic, complemented
114C2×#14273707C2211yescharacteristic, complemented
115C2×#14273706C2211yescharacteristic, complemented
116C2×#14273706C2211yescharacteristic, complemented
117C2×#14273705C2211yescharacteristic, complemented
118C2×#14273705C2211yescharacteristic, complemented
119C2×#14273704C2211yescharacteristic, complemented
120C2×#14273704C2211yescharacteristic, complemented
121C2×#14273704C2211yescharacteristic, complemented
122C2×#14273704C2211yescharacteristic, complemented
123C2×#14273704C2211yescharacteristic, complemented
124C2×#14273704C2211yescharacteristic, complemented
125C2×#14273702C2211yescharacteristic, complemented
126C2×#14273701C2211yescharacteristic, complemented
127C2×#14273701C2211yescharacteristic, complemented
128C2×#14273700C2211yescharacteristic, complemented
129C2×#14273700C2211yescharacteristic, complemented
130C2×#14273700C2211yescharacteristic, complemented
131C2×#14273700C2211yescharacteristic, complemented
132C2×#14273700C2211yescharacteristic, complemented
133C2×#14273700C2211yescharacteristic, complemented
134C2×#14273700C2211yescharacteristic, complemented
135C2×#14273700C2211yescharacteristic, complemented
136C2×#14273699C2211yescharacteristic
137C2×#14273699C2211yescharacteristic
138C2×#14273699C2211yescharacteristic
139C2×#14273699C2211yescharacteristic
140C2×#14273699C2211yescharacteristic, complemented
141C2×#14273699C2211yescharacteristic, complemented
142C2×#14273699C2211yescharacteristic, complemented
143C2×#14273699C2211yescharacteristic, complemented
144C2×#14273699C2211yescharacteristic, complemented
145C2×#14273699C2211yescharacteristic, complemented
146C2×#14273699C2211yescharacteristic, complemented
147C2×#14273699C2211yescharacteristic, complemented
148C2×#14273699C2211yescharacteristic, complemented
149C2×#14273699C2211yescharacteristic, complemented
150C2×#14273699C2211yescharacteristic, complemented
151C2×#14273699C2211yescharacteristic, complemented
152C2×#14273699C22116yescomplemented
153C2×#14273698C2211yescharacteristic, complemented
154C2×#14273698C2211yescharacteristic, complemented
155C2×#14273698C2211yescharacteristic, complemented
156C2×#14273698C2211yescharacteristic, complemented
157C2×#14273698C2211yescharacteristic, complemented
158C2×#14273698C2211yescharacteristic, complemented
159C2×#14273698C2211yescharacteristic, complemented
160C2×#14273698C2211yescharacteristic, complemented
161C2×#14273697C2211yescharacteristic, complemented
162C2×#14273697C2211yescharacteristic, complemented
163C2×#14273696C2211yescharacteristic
164C2×#14273696C2211yescharacteristic, complemented
165C2×#14273696C2211yescharacteristic, complemented
166C2×#14273696C2211yescharacteristic, complemented
167C2×#14273696C2211yescharacteristic, complemented
168C2×#14273696C2211yescharacteristic, complemented
169C2×#14273695C2211yescharacteristic
170C2×#14273695C2211yescharacteristic, complemented
171C2×#14273695C2211yescharacteristic, complemented
172C2×#14273695C2211yescharacteristic, complemented
173C2×#14273692C2211yescharacteristic, complemented
174C2×D4×Dic59C2211yescharacteristic
175C2×D4×Dic59C2211yescharacteristic, complemented
176C2×D4×Dic59C2211yescharacteristic, complemented
177C2×D4×Dic59C2211yescharacteristic, complemented
178C2×#14273689C2211yescharacteristic, complemented
179C2×C4×C22⋊D59C2211yescharacteristic, complemented
180C2×C4×C22⋊D59C2211yescharacteristic, complemented
181C2×C4×C22⋊D59C2211yescharacteristic, complemented
182C2×C4×C22⋊D59C2211yescharacteristic, complemented
183C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
184C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
185C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
186C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
187C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
188C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
189C2×#14273686C2211yescharacteristic, complemented
190C2×#14273686C2211yescharacteristic, complemented
191C2×#14273685C2211yescharacteristic, complemented
192C2×#14273683C2211yescharacteristic, complemented
193C2×#14273683C2211yescharacteristic, complemented
194C2×#14273683C2211yescharacteristic, complemented
195C2×#14273683C2211yescharacteristic, complemented
196C22×Dic59⋊C4C2211yescharacteristic, complemented
197C2×C4⋊C4×D59C2211yescharacteristic, complemented
198C22×C22⋊Dic59C2211yescharacteristic, complemented
199C22×C22⋊Dic59C2211yescharacteristic, complemented
200C22×(C2×D59)⋊C4C2211yescharacteristic, complemented
201C2×C22⋊C4×D59C2211yescharacteristic, complemented
202C2×C22⋊C4×D59C2211yescharacteristic, complemented
203C23×D4×C59C2211yescharacteristic
204C23×D4×C59C2211yescharacteristic, complemented
205C59×#534C22116yescomplemented
206C2×#123×C59C2211yescharacteristic
207C2×#123×C59C2211yescharacteristic, complemented
208C2×#123×C59C2211yescharacteristic, complemented
209C2×#123×C59C2211yescharacteristic, complemented
210C2×#121×C59C2211yescharacteristic, complemented
211C2×#121×C59C2211yescharacteristic, complemented
212C2×#121×C59C2211yescharacteristic, complemented
213C2×#121×C59C2211yescharacteristic, complemented
214C2×#120×C59C2211yescharacteristic
215C2×#120×C59C2211yescharacteristic, complemented
216C2×#120×C59C2211yescharacteristic, complemented
217C2×#120×C59C2211yescharacteristic, complemented
218C22×C22⋊C4×C59C2211yescharacteristic, complemented
219C24×D59C2311yescharacteristic
220C24×D59C2311yescharacteristic
221C2×#11745685—44no—
222C2×#11745685—44no—
223C2×#11745685C2318yescomplemented
224C2×#11745685C2318yescomplemented
225C2×#11745687—44no—
226C2×#11745687—44no—
227C2×#11745687—44no—
228C2×#11745687C2318yescomplemented
229C2×#11745687C2318yescomplemented
230C2×#11745687C2318yescomplemented
231C22×Dic118C2311yescharacteristic
232C22×Dic118C2311yescharacteristic
233C22×Dic118C2311yescharacteristic
234C22×Dic118C2311yescharacteristic
235C22×D236C2311yescharacteristic
236C22×D236C2311yescharacteristic
237C22×D236C2311yescharacteristic
238C22×D236C2311yescharacteristic
239C22×C22⋊D59—44no—
240C22×C22⋊D59—44no—
241C22×C22⋊D59—44no—
242C22×C22⋊D59C2311yescharacteristic
243C22×C22⋊D59C2311yescharacteristic
244C22×C22⋊D59C2311yescharacteristic
245C22×C22⋊D59C2311yescharacteristic
246C22×C22⋊D59C2311yescharacteristic
247C22×C22⋊D59C2311yescharacteristic
248C22×C22⋊D59C2311yescharacteristic
249C22×C22⋊D59C2311yescharacteristic
250C22×C22⋊D59C2311yescharacteristic
251C22×C22⋊D59C2311yescharacteristic
252C22×C22⋊D59C2311yescharacteristic
253C22×C22⋊D59C2311yescharacteristic
254C22×C22⋊D59C2311yescharacteristic
255C22×C22⋊D59C2311yescharacteristic
256C22×C22⋊D59C2311yescharacteristic
257C22×C22⋊D59C2311yescharacteristic
258C22×C22⋊D59C2311yescharacteristic
259C22×C22⋊D59C2311yescharacteristic
260C22×C22⋊D59C2311yescharacteristic
261C22×C22⋊D59C2311yescharacteristic
262C22×C22⋊D59C2311yescharacteristic
263C22×C22⋊D59C2311yescharacteristic
264C22×C22⋊D59C2311yescharacteristic
265C22×C22⋊D59C2311yescharacteristic
266C22×C22⋊D59C2318yes—
267C22×C22⋊D59C2318yescomplemented
268C22×C22⋊D59C2318yescomplemented
269C2×D4×D59—44no—
270C2×D4×D59C2318yes—
271C23×Dic59—44no—
272C23×Dic59C2311yescharacteristic
273C23×Dic59C2311yescharacteristic
274C23×Dic59C2311yescharacteristic
275C23×Dic59C2311yescharacteristic
276C23×Dic59C2311yescharacteristic
277C23×Dic59C2311yescharacteristic
278C23×Dic59C2311yescharacteristic
279C23×Dic59C2311yescharacteristic
280C23×Dic59C2311yescharacteristic
281C23×Dic59C2311yescharacteristic
282C23×Dic59C2318yescomplemented
283C22×C4×D59C2311yescharacteristic
284C22×C4×D59C2311yescharacteristic
285C22×C4×D59C2311yescharacteristic
286C22×C4×D59C2311yescharacteristic
287C22×C4×D59C2311yescharacteristic
288C22×C4×D59C2311yescharacteristic
289C22×C4×D59C2311yescharacteristic
290C22×C4×D59C2311yescharacteristic
291#14273726C2318yescomplemented
292#14273723C2318yescomplemented
293#14273723C2318yescomplemented
294#14273723C2318yescomplemented
295#14273723C2318yescomplemented
296#14273723C2318yescomplemented
297#14273722C2318yescomplemented
298#14273722C2318yescomplemented
299#14273720C2318yescomplemented
300#14273720C2318yescomplemented
301#14273720C2318yescomplemented
302#14273720C2318yescomplemented
303#14273718C2318yescomplemented
304#14273717C2318yescomplemented
305#14273717C2318yescomplemented
306#14273714C2318yescomplemented
307#14273714C2318yescomplemented
308#14273714C2318yescomplemented
309#14273713C2318yescomplemented
310#14273713C2318yescomplemented
311#14273713C2318yescomplemented
312#14273713C2318yescomplemented
313#14273713C2318yescomplemented
314#14273713C2318yescomplemented
315#14273712C2318yescomplemented
316#14273712C2318yescomplemented
317#14273711C2318yescomplemented
318#14273711C2318yescomplemented
319#14273711C2318yescomplemented
320#14273711C2318yescomplemented
321#14273710C2318yescomplemented
322#14273710C2318yescomplemented
323#14273709C2318yescomplemented
324#14273709C2318yescomplemented
325#14273709C2318yescomplemented
326#14273709C2318yescomplemented
327#14273709C2318yescomplemented
328#14273709C2318yescomplemented
329#14273708C2318yes—
330#14273708C2318yescomplemented
331#14273708C2318yescomplemented
332#14273708C2318yescomplemented
333#14273707C2318yescomplemented
334#14273706C2318yescomplemented
335#14273706C2318yescomplemented
336#14273705C2318yescomplemented
337#14273705C2318yescomplemented
338#14273704C2318yescomplemented
339#14273704C2318yescomplemented
340#14273704C2318yescomplemented
341#14273704C2318yescomplemented
342#14273704C2318yescomplemented
343#14273704C2318yescomplemented
344#14273702C2318yescomplemented
345#14273701C2318yescomplemented
346#14273701C2318yescomplemented
347#14273700C2318yescomplemented
348#14273700C2318yescomplemented
349#14273700C2318yescomplemented
350#14273700C2318yescomplemented
351#14273700C2318yescomplemented
352#14273700C2318yescomplemented
353#14273700C2318yescomplemented
354#14273700C2318yescomplemented
355#14273699C2318yes—
356#14273699C2318yes—
357#14273699C2318yes—
358#14273699C2318yes—
359#14273699C2318yescomplemented
360#14273699C2318yescomplemented
361#14273699C2318yescomplemented
362#14273699C2318yescomplemented
363#14273699C2318yescomplemented
364#14273699C2318yescomplemented
365#14273699C2318yescomplemented
366#14273699C2318yescomplemented
367#14273699C2318yescomplemented
368#14273699C2318yescomplemented
369#14273699C2318yescomplemented
370#14273699C2318yescomplemented
371#14273698C2318yescomplemented
372#14273698C2318yescomplemented
373#14273698C2318yescomplemented
374#14273698C2318yescomplemented
375#14273698C2318yescomplemented
376#14273698C2318yescomplemented
377#14273698C2318yescomplemented
378#14273698C2318yescomplemented
379#14273697C2318yescomplemented
380#14273697C2318yescomplemented
381#14273696C2318yes—
382#14273696C2318yescomplemented
383#14273696C2318yescomplemented
384#14273696C2318yescomplemented
385#14273696C2318yescomplemented
386#14273696C2318yescomplemented
387#14273695C2318yes—
388#14273695C2318yescomplemented
389#14273695C2318yescomplemented
390#14273695C2318yescomplemented
391#14273692C2318yescomplemented
392D4×Dic59C2318yes—
393D4×Dic59C2318yescomplemented
394D4×Dic59C2318yescomplemented
395D4×Dic59C2318yescomplemented
396#14273689C2318yescomplemented
397C4×C22⋊D59C2318yescomplemented
398C4×C22⋊D59C2318yescomplemented
399C4×C22⋊D59C2318yescomplemented
400C4×C22⋊D59C2318yescomplemented
401(C22⋊D59)⋊C4C2318yescomplemented
402(C22⋊D59)⋊C4C2318yescomplemented
403(C22⋊D59)⋊C4C2318yescomplemented
404(C22⋊D59)⋊C4C2318yescomplemented
405(C22⋊D59)⋊C4C2318yescomplemented
406(C22⋊D59)⋊C4C2318yescomplemented
407#14273686C2318yescomplemented
408#14273686C2318yescomplemented
409#14273685C2318yescomplemented
410#14273683C2318yescomplemented
411#14273683C2318yescomplemented
412#14273683C2318yescomplemented
413#14273683C2318yescomplemented
414C2×C4⋊Dic59C2311yescharacteristic
415C2×C4⋊Dic59C2311yescharacteristic
416C2×C4⋊Dic59C2311yescharacteristic
417C2×C4⋊Dic59C2311yescharacteristic
418C2×C4⋊Dic59C2311yescharacteristic
419C2×C4⋊Dic59C2311yescharacteristic
420C2×C4⋊Dic59C2311yescharacteristic
421C2×C4⋊Dic59C2311yescharacteristic
422C2×Dic59⋊C4C2311yescharacteristic
423C2×Dic59⋊C4C2311yescharacteristic
424C2×Dic59⋊C4C2311yescharacteristic
425C2×Dic59⋊C4C2311yescharacteristic
426C2×Dic59⋊C4C2311yescharacteristic
427C2×Dic59⋊C4C2311yescharacteristic
428C2×Dic59⋊C4C2311yescharacteristic
429C2×Dic59⋊C4C2311yescharacteristic
430C2×Dic59⋊C4C2311yescharacteristic
431C2×Dic59⋊C4C2311yescharacteristic
432C2×Dic59⋊C4C2311yescharacteristic
433C2×Dic59⋊C4C2311yescharacteristic
434C2×Dic59⋊C4C2311yescharacteristic
435C2×Dic59⋊C4C2311yescharacteristic
436C2×Dic59⋊C4C2311yescharacteristic
437C2×Dic59⋊C4C2311yescharacteristic
438C2×Dic59⋊C4C2318yescomplemented
439C4⋊C4×D59C2318yescomplemented
440C2×C22⋊Dic59C2311yescharacteristic
441C2×C22⋊Dic59C2311yescharacteristic
442C2×C22⋊Dic59C2311yescharacteristic
443C2×C22⋊Dic59C2311yescharacteristic
444C2×C22⋊Dic59C2311yescharacteristic
445C2×C22⋊Dic59C2311yescharacteristic
446C2×C22⋊Dic59C2311yescharacteristic
447C2×C22⋊Dic59C2311yescharacteristic
448C2×C22⋊Dic59C2311yescharacteristic
449C2×C22⋊Dic59C2311yescharacteristic
450C2×C22⋊Dic59C2311yescharacteristic
451C2×C22⋊Dic59C2311yescharacteristic
452C2×C22⋊Dic59C2311yescharacteristic
453C2×C22⋊Dic59C2311yescharacteristic
454C2×C22⋊Dic59C2311yescharacteristic
455C2×C22⋊Dic59C2311yescharacteristic
456C2×C22⋊Dic59C2311yescharacteristic
457C2×C22⋊Dic59C2311yescharacteristic
458C2×C22⋊Dic59C2311yescharacteristic
459C2×C22⋊Dic59C2311yescharacteristic
460C2×C22⋊Dic59C2318yescomplemented
461C2×C22⋊Dic59C2318yescomplemented
462C2×(C2×D59)⋊C4C2311yescharacteristic
463C2×(C2×D59)⋊C4C2311yescharacteristic
464C2×(C2×D59)⋊C4C2311yescharacteristic
465C2×(C2×D59)⋊C4C2311yescharacteristic
466C2×(C2×D59)⋊C4C2311yescharacteristic
467C2×(C2×D59)⋊C4C2311yescharacteristic
468C2×(C2×D59)⋊C4C2311yescharacteristic
469C2×(C2×D59)⋊C4C2311yescharacteristic
470C2×(C2×D59)⋊C4C2311yescharacteristic
471C2×(C2×D59)⋊C4C2311yescharacteristic
472C2×(C2×D59)⋊C4C2311yescharacteristic
473C2×(C2×D59)⋊C4C2311yescharacteristic
474C2×(C2×D59)⋊C4C2311yescharacteristic
475C2×(C2×D59)⋊C4C2311yescharacteristic
476C2×(C2×D59)⋊C4C2311yescharacteristic
477C2×(C2×D59)⋊C4C2311yescharacteristic
478C2×(C2×D59)⋊C4C2318yescomplemented
479C22⋊C4×D59C2318yescomplemented
480C22⋊C4×D59C2318yescomplemented
481C2×C4×Dic59C2311yescharacteristic
482C2×C4×Dic59C2311yescharacteristic
483C2×C4×Dic59C2311yescharacteristic
484C2×C4×Dic59C2311yescharacteristic
485C2×C4×Dic59C2311yescharacteristic
486C2×C4×Dic59C2311yescharacteristic
487C2×C4×Dic59C2311yescharacteristic
488C2×C4×Dic59C2311yescharacteristic
489C25×C59C2311yescharacteristic
490C25×C59C2311yescharacteristic
491C25×C59C2311yescharacteristic
492C22×D4×C59—44no—
493C22×D4×C59—44no—
494C22×D4×C59C2311yescharacteristic
495C22×D4×C59C2311yescharacteristic
496C22×D4×C59C2311yescharacteristic
497C22×D4×C59C2311yescharacteristic
498C22×D4×C59C2311yescharacteristic
499C22×D4×C59C2311yescharacteristic
500C22×D4×C59C2311yescharacteristic
501C22×D4×C59C2311yescharacteristic
502C22×D4×C59C2311yescharacteristic
503C22×D4×C59C2311yescharacteristic
504C22×D4×C59C2311yescharacteristic
505C22×D4×C59C2311yescharacteristic
506C22×D4×C59C2318yes—
507C22×D4×C59C2318yescomplemented
508C23×C4×C59C2311yescharacteristic
509C23×C4×C59C2311yescharacteristic
510C23×C4×C59C2311yescharacteristic
511C23×C4×C59C2311yescharacteristic
512#123×C59C2318yes—
513#123×C59C2318yescomplemented
514#123×C59C2318yescomplemented
515#123×C59C2318yescomplemented
516#121×C59C2318yescomplemented
517#121×C59C2318yescomplemented
518#121×C59C2318yescomplemented
519#121×C59C2318yescomplemented
520#120×C59C2318yes—
521#120×C59C2318yescomplemented
522#120×C59C2318yescomplemented
523#120×C59C2318yescomplemented
524C2×C4⋊C4×C59C2311yescharacteristic
525C2×C4⋊C4×C59C2311yescharacteristic
526C2×C4⋊C4×C59C2311yescharacteristic
527C2×C4⋊C4×C59C2311yescharacteristic
528C2×C22⋊C4×C59C2311yescharacteristic
529C2×C22⋊C4×C59C2311yescharacteristic
530C2×C22⋊C4×C59C2311yescharacteristic
531C2×C22⋊C4×C59C2311yescharacteristic
532C2×C22⋊C4×C59C2311yescharacteristic
533C2×C22⋊C4×C59C2311yescharacteristic
534C2×C22⋊C4×C59C2311yescharacteristic
535C2×C22⋊C4×C59C2311yescharacteristic
536C2×C22⋊C4×C59C2311yescharacteristic
537C2×C22⋊C4×C59C2311yescharacteristic
538C2×C22⋊C4×C59C2311yescharacteristic
539C2×C22⋊C4×C59C2311yescharacteristic
540C2×C22⋊C4×C59C2318yescomplemented
541C24×C59—24no—
542C24×C59—24no—
543C24×C59—42no—
544C24×C59—42no—
545C24×C59—42no—
546C24×C59—42no—
547C24×C59—42no—
548C24×C59—42no—
549C24×C59—42no—
550C24×C59C2411yescharacteristic
551C24×C59C2411yescharacteristic
552C24×C59C2411yescharacteristic
553C24×C59C2411yescharacteristic
554C24×C59C2411yescharacteristic
555C24×C59C2411yescharacteristic
556C24×C59C2411yescharacteristic
557C24×C59C2414yes—
558C24×C59C2414yes—
559C24×C59C2414yes—
560C23×D59—24no—
561C23×D59—42no—
562C23×D59—42no—
563C23×D59—42no—
564C23×D59—42no—
565C23×D59—42no—
566C23×D59C2411yescharacteristic
567C23×D59C2411yescharacteristic
568C23×D59C2411yescharacteristic
569C23×D59C2411yescharacteristic
570C23×D59C2414yes—
571C23×D59C2414yes—
572C2×D4×C59—24no—
573C2×D4×C59—24no—
574C2×D4×C59—42no—
575C2×D4×C59—42no—
576C2×D4×C59—42no—
577C2×D4×C59—42no—
578C2×D4×C59—42no—
579C2×D4×C59—42no—
580C2×D4×C59—416no—
581C2×D4×C59—42no—
582C2×D4×C59—42no—
583C2×D4×C59—42no—
584C2×D4×C59—42no—
585C2×D4×C59—416no—
586C2×D4×C59C2414yes—
587C2×D4×C59C2414yes—
588C2×D4×C59C2414yes—
589C2×D4×C59C2414yes—
590C2×D4×C59C2414yes—
591C2×D4×C59C2414yes—
592C2×D4×C59C2414yes—
593C2×D4×C59C2414yes—
594C2×D4×C59C2414yes—
595C2×D4×C59C2414yes—
596C2×D4×C59C2414yes—
597C2×D4×C59C2414yes—
598C22×C4×C59—24no—
599C22×C4×C59—42no—
600C22×C4×C59—42no—
601C22×C4×C59—42no—
602C22×C4×C59C2411yescharacteristic
603C22×C4×C59C2411yescharacteristic
604C22×C4×C59C2411yescharacteristic
605C22×C4×C59C2411yescharacteristic
606C22×C4×C59C2411yescharacteristic
607C22×C4×C59C2411yescharacteristic
608C22×C4×C59C2411yescharacteristic
609C22×C4×C59C2411yescharacteristic
610C22×C4×C59C2414yes—
611C22×C4×C59C2414yes—
612C22×C4×C59C2414yes—
613C22×C4×C59C2414yes—
614C2×C22⋊D59—24no—
615C2×C22⋊D59—24no—
616C2×C22⋊D59—24no—
617C2×C22⋊D59—24no—
618C2×C22⋊D59—24no—
619C2×C22⋊D59—416no—
620C2×C22⋊D59—416no—
621C2×C22⋊D59—42no—
622C2×C22⋊D59—42no—
623C2×C22⋊D59—42no—
624C2×C22⋊D59—42no—
625C2×C22⋊D59—42no—
626C2×C22⋊D59—42no—
627C2×C22⋊D59—42no—
628C2×C22⋊D59—42no—
629C2×C22⋊D59—42no—
630C2×C22⋊D59—416no—
631C2×C22⋊D59—42no—
632C2×C22⋊D59—42no—
633C2×C22⋊D59—42no—
634C2×C22⋊D59—42no—
635C2×C22⋊D59—42no—
636C2×C22⋊D59—42no—
637C2×C22⋊D59—42no—
638C2×C22⋊D59—42no—
639C2×C22⋊D59—42no—
640C2×C22⋊D59—42no—
641C2×C22⋊D59C2414yes—
642C2×C22⋊D59C2414yes—
643C2×C22⋊D59C2414yes—
644C2×C22⋊D59C2414yes—
645C2×C22⋊D59C2414yes—
646C2×C22⋊D59C2414yes—
647C2×C22⋊D59C2414yes—
648C2×C22⋊D59C2414yes—
649C2×C22⋊D59C2414yes—
650C2×C22⋊D59C2414yes—
651C2×C22⋊D59C2414yes—
652C2×C22⋊D59C2414yes—
653C2×C22⋊D59C2414yes—
654C2×C22⋊D59C2414yes—
655C2×C22⋊D59C2414yes—
656C2×C22⋊D59C2414yes—
657C2×C22⋊D59C2414yes—
658C2×C22⋊D59C2414yes—
659C2×C22⋊D59C2414yes—
660C2×C22⋊D59C2414yes—
661C2×C22⋊D59C2414yes—
662C2×C22⋊D59C2414yes—
663C2×C22⋊D59C2414yes—
664C2×C22⋊D59C2414yes—
665C22×Dic59—24no—
666C22×Dic59—24no—
667C22×Dic59—24no—
668C22×Dic59—24no—
669C22×Dic59—24no—
670C22×Dic59—416no—
671C22×Dic59—42no—
672C22×Dic59—42no—
673C22×Dic59—42no—
674C22×Dic59—42no—
675C22×Dic59—42no—
676C22×Dic59C2411yescharacteristic
677C22×Dic59C2411yescharacteristic
678C22×Dic59C2411yescharacteristic
679C22×Dic59C2411yescharacteristic
680C22×Dic59C2411yescharacteristic
681C22×Dic59C2411yescharacteristic
682C22×Dic59C2411yescharacteristic
683C22×Dic59C2411yescharacteristic
684C22×Dic59C2411yescharacteristic
685C22×Dic59C2411yescharacteristic
686C22×Dic59C2411yescharacteristic
687C22×Dic59C2414yes—
688C22×Dic59C2414yes—
689C22×Dic59C2414yes—
690C22×Dic59C2414yes—
691C22×Dic59C2414yes—
692C22×Dic59C2414yes—
693C22×Dic59C2414yes—
694C22×Dic59C2414yes—
695C22×Dic59C2414yes—
696C22×Dic59C2414yes—
697C22×Dic59C2411yescharacteristic
698#11745687—416no—
699#11745687—416no—
700#11745687—416no—
701D4×D59—416no—
702#11745685—416no—
703#11745685—416no—
704C2×D236—42no—
705C2×D236—42no—
706C2×D236—42no—
707C2×D236—42no—
708C2×D236C2414yes—
709C2×D236C2414yes—
710C2×D236C2414yes—
711C2×D236C2414yes—
712C2×C4×D59—24no—
713C2×C4×D59—42no—
714C2×C4×D59—42no—
715C2×C4×D59—42no—
716C2×C4×D59—42no—
717C2×C4×D59—42no—
718C2×C4×D59—42no—
719C2×C4×D59—42no—
720C2×C4×D59C2414yes—
721C2×C4×D59C2414yes—
722C2×C4×D59C2414yes—
723C2×C4×D59C2414yes—
724C2×C4×D59C2414yes—
725C2×C4×D59C2414yes—
726C2×C4×D59C2414yes—
727C2×C4×D59C2414yes—
728C2×Dic118—24no—
729C2×Dic118—42no—
730C2×Dic118—42no—
731C2×Dic118—42no—
732C2×Dic118C2414yes—
733C2×Dic118C2414yes—
734C2×Dic118C2414yes—
735C2×Dic118C2414yes—
736C4⋊C4×C59C2414yes—
737C4⋊C4×C59C2414yes—
738C4⋊C4×C59C2414yes—
739C4⋊C4×C59C2414yes—
740C22⋊C4×C59C2414yes—
741C22⋊C4×C59C2414yes—
742C22⋊C4×C59C2414yes—
743C22⋊C4×C59C2414yes—
744C22⋊C4×C59C2414yes—
745C22⋊C4×C59C2414yes—
746C22⋊C4×C59C2414yes—
747C22⋊C4×C59C2414yes—
748C22⋊C4×C59C2414yes—
749C22⋊C4×C59C2414yes—
750C22⋊C4×C59C2414yes—
751C22⋊C4×C59C2414yes—
752C22⋊Dic59C2414yes—
753C22⋊Dic59C2414yes—
754C22⋊Dic59C2414yes—
755C22⋊Dic59C2414yes—
756C22⋊Dic59C2414yes—
757C22⋊Dic59C2414yes—
758C22⋊Dic59C2414yes—
759C22⋊Dic59C2414yes—
760C22⋊Dic59C2414yes—
761C22⋊Dic59C2414yes—
762C22⋊Dic59C2414yes—
763C22⋊Dic59C2414yes—
764C22⋊Dic59C2414yes—
765C22⋊Dic59C2414yes—
766C22⋊Dic59C2414yes—
767C22⋊Dic59C2414yes—
768C22⋊Dic59C2414yes—
769C22⋊Dic59C2414yes—
770C22⋊Dic59C2414yes—
771C22⋊Dic59C2414yes—
772(C2×D59)⋊C4C2414yes—
773(C2×D59)⋊C4C2414yes—
774(C2×D59)⋊C4C2414yes—
775(C2×D59)⋊C4C2414yes—
776(C2×D59)⋊C4C2414yes—
777(C2×D59)⋊C4C2414yes—
778(C2×D59)⋊C4C2414yes—
779(C2×D59)⋊C4C2414yes—
780(C2×D59)⋊C4C2414yes—
781(C2×D59)⋊C4C2414yes—
782(C2×D59)⋊C4C2414yes—
783(C2×D59)⋊C4C2414yes—
784(C2×D59)⋊C4C2414yes—
785(C2×D59)⋊C4C2414yes—
786(C2×D59)⋊C4C2414yes—
787(C2×D59)⋊C4C2414yes—
788C4⋊Dic59C2414yes—
789C4⋊Dic59C2414yes—
790C4⋊Dic59C2414yes—
791C4⋊Dic59C2414yes—
792C4⋊Dic59C2414yes—
793C4⋊Dic59C2414yes—
794C4⋊Dic59C2414yes—
795C4⋊Dic59C2414yes—
796Dic59⋊C4C2414yes—
797Dic59⋊C4C2414yes—
798Dic59⋊C4C2414yes—
799Dic59⋊C4C2414yes—
800Dic59⋊C4C2414yes—
801Dic59⋊C4C2414yes—
802Dic59⋊C4C2414yes—
803Dic59⋊C4C2414yes—
804Dic59⋊C4C2414yes—
805Dic59⋊C4C2414yes—
806Dic59⋊C4C2414yes—
807Dic59⋊C4C2414yes—
808Dic59⋊C4C2414yes—
809Dic59⋊C4C2414yes—
810Dic59⋊C4C2414yes—
811Dic59⋊C4C2414yes—
812C4×Dic59C2414yes—
813C4×Dic59C2414yes—
814C4×Dic59C2414yes—
815C4×Dic59C2414yes—
816C4×Dic59C2414yes—
817C4×Dic59C2414yes—
818C4×Dic59C2414yes—
819C4×Dic59C2414yes—
820C23×C59—22no—
821C23×C59—22no—
822C23×C59—22no—
823C23×C59—22no—
824C23×C59—22no—
825C23×C59—22no—
826C23×C59—22no—
827C23×C59—22no—
828C23×C59—22no—
829C23×C59—28no—
830C23×C59—22no—
831C23×C59—22no—
832C23×C59—22no—
833C23×C59—22no—
834C23×C59—22no—
835C23×C59—22no—
836C23×C59—22no—
837C23×C59—22no—
838C23×C59—22no—
839C23×C59—22no—
840C23×C59—22no—
841C23×C59—28no—
842C23×C59—44no—
843C23×C59—44no—
844C23×C59—44no—
845C23×C59—44no—
846C23×C59—44no—
847C23×C59—44no—
848C23×C59—44no—
849C23×C59—416no—
850C23×C59—88no—
851C23×C59—88no—
852C23×C59H(5,𝔽2)14yes—
853C23×C59C2512yes—
854C23×C59C2512yes—
855C23×C59C2512yes—
856C23×C59C2512yes—
857C23×C59C2512yes—
858C23×C59C2512yes—
859C23×C59C2512yes—
860C23×C59C2511yescharacteristic
861C22×D59—22no—
862C22×D59—22no—
863C22×D59—22no—
864C22×D59—22no—
865C22×D59—22no—
866C22×D59—22no—
867C22×D59—22no—
868C22×D59—22no—
869C22×D59—22no—
870C22×D59—22no—
871C22×D59—22no—
872C22×D59—22no—
873C22×D59—28no—
874C22×D59—44no—
875C22×D59—44no—
876C22×D59—44no—
877C22×D59—44no—
878C22×D59—44no—
879C22×D59—88no—
880C22×D59—88no—
881C22×D59C2512yes—
882C22×D59C2512yes—
883C22×D59C2512yes—
884C22×D59C2512yes—
885D4×C59—28no—
886D4×C59—28no—
887D4×C59—44no—
888D4×C59—44no—
889D4×C59—44no—
890D4×C59—44no—
891D4×C59—44no—
892D4×C59—44no—
893D4×C59—44no—
894D4×C59—44no—
895D4×C59—44no—
896D4×C59—44no—
897C2×C4×C59—22no—
898C2×C4×C59—22no—
899C2×C4×C59—22no—
900C2×C4×C59—22no—
901C2×C4×C59—22no—
902C2×C4×C59—22no—
903C2×C4×C59—28no—
904C2×C4×C59—22no—
905C2×C4×C59—22no—
906C2×C4×C59—44no—
907C2×C4×C59—44no—
908C2×C4×C59—44no—
909C2×C4×C59C2512yes—
910C2×C4×C59C2512yes—
911C2×C4×C59C2512yes—
912C2×C4×C59C2512yes—
913C2×C4×C59C2512yes—
914C2×C4×C59C2512yes—
915C2×C4×C59C2512yes—
916C2×C4×C59C2512yes—
917C22⋊D59—28no—
918C22⋊D59—28no—
919C22⋊D59—28no—
920C22⋊D59—28no—
921C22⋊D59—28no—
922C22⋊D59—44no—
923C22⋊D59—44no—
924C22⋊D59—44no—
925C22⋊D59—44no—
926C22⋊D59—44no—
927C22⋊D59—44no—
928C22⋊D59—44no—
929C22⋊D59—44no—
930C22⋊D59—44no—
931C22⋊D59—44no—
932C22⋊D59—44no—
933C22⋊D59—44no—
934C22⋊D59—44no—
935C22⋊D59—44no—
936C22⋊D59—44no—
937C22⋊D59—44no—
938C22⋊D59—44no—
939C22⋊D59—44no—
940C22⋊D59—44no—
941C2×Dic59—22no—
942C2×Dic59—22no—
943C2×Dic59—22no—
944C2×Dic59—22no—
945C2×Dic59—22no—
946C2×Dic59—22no—
947C2×Dic59—22no—
948C2×Dic59—22no—
949C2×Dic59—28no—
950C2×Dic59—22no—
951C2×Dic59—22no—
952C2×Dic59—22no—
953C2×Dic59—28no—
954C2×Dic59—28no—
955C2×Dic59—28no—
956C2×Dic59—28no—
957C2×Dic59—44no—
958C2×Dic59—44no—
959C2×Dic59—44no—
960C2×Dic59—44no—
961C2×Dic59—44no—
962C2×Dic59H(5,𝔽2)14yes—
963C2×Dic59C2512yes—
964C2×Dic59C2512yes—
965C2×Dic59C2512yes—
966C2×Dic59C2512yes—
967C2×Dic59C2512yes—
968C2×Dic59C2512yes—
969C2×Dic59C2512yes—
970C2×Dic59C2512yes—
971C2×Dic59C2512yes—
972C2×Dic59C2512yes—
973C2×Dic59C2512yes—
974C2×Dic59C2512yes—
975D236—44no—
976D236—44no—
977D236—44no—
978D236—44no—
979C4×D59—28no—
980C4×D59—44no—
981C4×D59—44no—
982C4×D59—44no—
983C4×D59—44no—
984C4×D59—44no—
985C4×D59—44no—
986C4×D59—44no—
987Dic118—28no—
988Dic118—44no—
989Dic118—44no—
990Dic118—44no—
991C2×#3542—591nomaximal, Sylow
992C22×C59—22no—
993C22×C59—22no—
994C22×C59—28no—
995C22×C59—22no—
996C22×C59—22no—
997C22×C59—22no—
998C22×C59—22no—
999C22×C59—22no—
1000C22×C59—22no—
1001C22×C59—22no—
1002C22×C59—22no—
1003C22×C59—22no—
1004C22×C59—22no—
1005C22×C59—22no—
1006C22×C59—22no—
1007C22×C59—22no—
1008C22×C59—22no—
1009C22×C59—22no—
1010C22×C59—22no—
1011C22×C59—22no—
1012C22×C59—22no—
1013C22×C59—416no—
1014C22×C59—44no—
1015C22×C59—44no—
1016C22×C59—44no—
1017C22×C59—44no—
1018C22×C59—44no—
1019C22×C59—44no—
1020C22×C59—88no—
1021C22×C59—88no—
1022C22×C59C2×H(5,𝔽2)12yes—
1023C22×C59C2×H(5,𝔽2)14yes—
1024C22×C59C2×H(5,𝔽2)12yes—
1025C22×C59#58512yes—
1026C22×C59C2611yescharacteristic
1027C2×D59—22no—
1028C2×D59—22no—
1029C2×D59—22no—
1030C2×D59—22no—
1031C2×D59—22no—
1032C2×D59—22no—
1033C2×D59—22no—
1034C2×D59—22no—
1035C2×D59—22no—
1036C2×D59—22no—
1037C2×D59—22no—
1038C2×D59—22no—
1039C2×D59—44no—
1040C2×D59—44no—
1041C2×D59—44no—
1042C2×D59—44no—
1043C2×D59—88no—
1044C2×D59—88no—
1045C4×C59—22no—
1046C4×C59—22no—
1047C4×C59—22no—
1048C4×C59—22no—
1049C4×C59—22no—
1050C4×C59—22no—
1051C4×C59—22no—
1052C4×C59—22no—
1053Dic59—22no—
1054Dic59—22no—
1055Dic59—22no—
1056Dic59—22no—
1057Dic59—22no—
1058Dic59—22no—
1059Dic59—22no—
1060Dic59—22no—
1061Dic59—22no—
1062Dic59—22no—
1063Dic59—22no—
1064Dic59C2×H(5,𝔽2)14yes—
1065#3542—5932no—
1066C2×#562—591no—
1067C2×#562—591no—
1068C2×#560—591no—
1069C2×#560—591no—
1070C2×#555—591no—
1071C2×#553—591no—
1072C2×#552—591no—
1073C2×#551—591no—
1074C2×#551—591no—
1075C2×#550—591no—
1076C2×#547—591no—
1077C2×#546—591no—
1078C2×#546—591no—
1079C2×#546—591no—
1080C2×#546—591no—
1081C2×D42—591no—
1082C2×#542—591no—
1083C2×#540—591no—
1084C2×#540—591no—
1085C2×#540—591no—
1086C2×#538—591no—
1087C2×#538—591no—
1088C2×#537—591no—
1089C2×#535—591no—
1090C2×#535—591no—
1091C2×#535—591no—
1092C2×#534—591no—
1093C2×#534D5911yescharacteristic, complemented
1094C2×#525—591no—
1095C2×#525—591no—
1096C22×#121—591no—
1097C2×C59—24no—
1098C2×C59—42no—
1099C2×C59—42no—
1100C2×C59—42no—
1101C2×C59—42no—
1102C2×C59—42no—
1103C2×C59—42no—
1104C2×C59#354214yescomplemented
1105C2×C59C22×H(5,𝔽2)11yescharacteristic
1106C2×C59C22×H(5,𝔽2)11yescharacteristic
1107C2×C59C2×#58511yescharacteristic
1108D59—42no—
1109D59—42no—
1110D59—42no—
1111D59—42no—
1112C22×#41—591no—
1113C22×#41—591no—
1114C22×#41—591no—
1115C22×#41—591no—
1116C22×#41—591no—
1117C23×D4—591no—
1118C23×D4—591no—
1119C23×D4—591no—
1120C23×D4—591no—
1121C23×D4C2×D5911yescharacteristic
1122C23×D4C2×D5911yescharacteristic, complemented
1123C24×C4—591no—
1124#562—5916no—
1125#562—5916no—
1126#560—5916no—
1127#560—5916no—
1128#555—5916no—
1129#553—5916no—
1130#552—5916no—
1131#551—5916no—
1132#551—5916no—
1133#550—5916no—
1134#547—5916no—
1135#546—5916no—
1136#546—5916no—
1137#546—5916no—
1138#546—5916no—
1139D42—5916no—
1140#542—5916no—
1141#540—5916no—
1142#540—5916no—
1143#540—5916no—
1144#538—5916no—
1145#538—5916no—
1146#537—5916no—
1147#535—5916no—
1148#535—5916no—
1149#535—5916no—
1150#534—5916no—
1151#534C2×D59116yescomplemented
1152C2×C4⋊Q8—591no—
1153C2×#127—591no—
1154C2×#127—591no—
1155C2×#127—591no—
1156C2×#127—591no—
1157C2×#127—591no—
1158C2×#126—591no—
1159C2×#126—591no—
1160C2×#126—591no—
1161C2×#126—591no—
1162C2×#126—591no—
1163C2×#126—591no—
1164C2×#125—591no—
1165C2×#125—591no—
1166C2×#125—591no—
1167C2×#124—591no—
1168C2×#124—591no—
1169C2×#124—591no—
1170C2×#124—591no—
1171C2×#124—591no—
1172C2×#124—591no—
1173C2×#124—591no—
1174C2×#124—591no—
1175C2×#124—591no—
1176#525—5916no—
1177#525—5916no—
1178C2×#123—591no—
1179C2×#123—591no—
1180C2×#123—591no—
1181C2×#123—591no—
1182C2×#123—591no—
1183C2×#123—591no—
1184C2×#123—591no—
1185C2×#123—591no—
1186C2×#123—591no—
1187C2×#123—591no—
1188C2×#123—591no—
1189C2×#123—591no—
1190C2×#123—591no—
1191C2×#123—591no—
1192C2×#123—591no—
1193C2×#123—591no—
1194C2×#123—591no—
1195C2×#123—591no—
1196C2×#123C2×D5911yescharacteristic
1197C2×#123C2×D5911yescharacteristic, complemented
1198C2×#123C2×D5911yescharacteristic, complemented
1199C2×#123C2×D5911yescharacteristic, complemented
1200C2×C22⋊Q8—591no—
1201C2×C22⋊Q8—591no—
1202C2×C22⋊Q8—591no—
1203C2×C22⋊Q8—591no—
1204C2×C22⋊Q8—591no—
1205C2×C22⋊Q8—591no—
1206C2×C22⋊Q8—591no—
1207C2×C22⋊Q8—591no—
1208C2×C22⋊Q8—591no—
1209C2×C22⋊Q8—591no—
1210C2×C22⋊Q8—591no—
1211C2×#121—591no—
1212C2×#121—591no—
1213C2×#121—591no—
1214C2×#121—591no—
1215C2×#121—591no—
1216C2×#121—591no—
1217C2×#121—591no—
1218C2×#121—591no—
1219C2×#121—591no—
1220C2×#121—591no—
1221C2×#121—591no—
1222C2×#121—591no—
1223C2×#121—591no—
1224C2×#121—591no—
1225C2×#121—591no—
1226C2×#121—591no—
1227C2×#121—591no—
1228C2×#121—591no—
1229C2×#121—591no—
1230C2×#121—591no—
1231C2×#121—591no—
1232C2×#121—591no—
1233C2×#121—591no—
1234C2×#121—591no—
1235C2×#121—5916no—
1236C2×#121—591no—
1237C2×#121—591no—
1238C2×#121—591no—
1239C2×#121—591no—
1240C2×#121—591no—
1241C2×#121—591no—
1242C2×#121—591no—
1243C2×#121—591no—
1244C2×#121—591no—
1245C2×#121—591no—
1246C2×#121—591no—
1247C2×#121C2×D5911yescharacteristic, complemented
1248C2×#121C2×D5911yescharacteristic, complemented
1249C2×#121C2×D5911yescharacteristic, complemented
1250C2×#121C2×D5911yescharacteristic, complemented
1251C2×#120—591no—
1252C2×#120—591no—
1253C2×#120—591no—
1254C2×#120—591no—
1255C2×#120—591no—
1256C2×#120—591no—
1257C2×#120—591no—
1258C2×#120—591no—
1259C2×#120—591no—
1260C2×#120—591no—
1261C2×#120—591no—
1262C2×#120—591no—
1263C2×#120C2×D5911yescharacteristic
1264C2×#120C2×D5911yescharacteristic, complemented
1265C2×#120C2×D5911yescharacteristic, complemented
1266C2×#120C2×D5911yescharacteristic, complemented
1267C2×C4×Q8—591no—
1268C2×C4×D4—591no—
1269C2×C4×D4—591no—
1270C2×C4×D4—591no—
1271C2×C4×D4—591no—
1272C2×C4×D4—591no—
1273C2×C4×D4—591no—
1274C2×C4×D4—591no—
1275C2×C4×D4—591no—
1276C2×C4×D4—591no—
1277C2×C4×D4—591no—
1278C2×C4×D4—591no—
1279C2×C4×D4—591no—
1280C2×C4×D4—591no—
1281C2×C4×D4—591no—
1282C2×C4×D4—591no—
1283C2×#117—591no—
1284C2×#117—591no—
1285C2×#117—591no—
1286C2×#117—591no—
1287C2×#117—591no—
1288C2×#117—591no—
1289C2×#117—591no—
1290C22×C4⋊C4—591no—
1291C22×C4⋊C4—591no—
1292C22×C22⋊C4—591no—
1293C22×C22⋊C4—591no—
1294C22×C22⋊C4—591no—
1295C22×C22⋊C4—591no—
1296C22×C22⋊C4—591no—
1297C22×C22⋊C4C2×D5911yescharacteristic, complemented
1298C59C2×#354211yescharacteristic, complemented, Sylow
1299C25—591no—
1300C25—591no—
1301C25C22×D5911yescharacteristic
1302C25C22×D5911yescharacteristic
1303C25C22×D5911yescharacteristic
1304C2×#41—598no—
1305C2×#41—598no—
1306C2×#41—598no—
1307C2×#41—598no—
1308C2×#41—598no—
1309C2×#41—2364no—
1310C2×#41—2364no—
1311C2×#41—2364no—
1312C2×#41—2364no—
1313C2×#41—2364no—
1314C22×Q8—591no—
1315C22×Q8—591no—
1316C22×Q8—591no—
1317C22×Q8—591no—
1318C22×D4—44no—
1319C22×D4—44no—
1320C22×D4—591no—
1321C22×D4—591no—
1322C22×D4—591no—
1323C22×D4—591no—
1324C22×D4—591no—
1325C22×D4—591no—
1326C22×D4—591no—
1327C22×D4—591no—
1328C22×D4—591no—
1329C22×D4—591no—
1330C22×D4—591no—
1331C22×D4—591no—
1332C22×D4—591no—
1333C22×D4—591no—
1334C22×D4—591no—
1335C22×D4—591no—
1336C22×D4—591no—
1337C22×D4—591no—
1338C22×D4—591no—
1339C22×D4—591no—
1340C22×D4—591no—
1341C22×D4—591no—
1342C22×D4—591no—
1343C22×D4—591no—
1344C22×D4—598no—
1345C22×D4—598no—
1346C22×D4—598no—
1347C22×D4—598no—
1348C22×D4—591no—
1349C22×D4—591no—
1350C22×D4—591no—
1351C22×D4—591no—
1352C22×D4—2364no—
1353C22×D4—2364no—
1354C22×D4—2364no—
1355C22×D4—2364no—
1356C22×D4C22×D5911yescharacteristic
1357C22×D4C22×D5911yescharacteristic
1358C22×D4C22×D5911yescharacteristic
1359C22×D4C22×D5911yescharacteristic
1360C22×D4C22×D5911yescharacteristic
1361C22×D4C22×D5911yescharacteristic
1362C22×D4C22×D5911yescharacteristic
1363C22×D4C22×D5911yescharacteristic
1364C22×D4C22×D5911yescharacteristic
1365C22×D4C22×D5911yescharacteristic
1366C22×D4C22×D5911yescharacteristic
1367C22×D4C22×D5911yescharacteristic
1368C22×D4C22×D5918yes—
1369C22×D4C22×D5918yescomplemented
1370C23×C4—591no—
1371C23×C4—591no—
1372C23×C4—591no—
1373C23×C4—591no—
1374C23×C4—591no—
1375C23×C4—591no—
1376C23×C4—591no—
1377C23×C4—591no—
1378C23×C4—591no—
1379C23×C4—591no—
1380C23×C4—598no—
1381C23×C4—591no—
1382C23×C4—591no—
1383C23×C4—591no—
1384C23×C4—591no—
1385C23×C4—591no—
1386C23×C4—591no—
1387C23×C4—591no—
1388C23×C4—591no—
1389C23×C4—2364no—
1390C23×C4C22×D5911yescharacteristic
1391C23×C4C22×D5911yescharacteristic
1392C23×C4C22×D5911yescharacteristic
1393C23×C4C22×D5911yescharacteristic
1394C4⋊Q8—598no—
1395#127—598no—
1396#127—598no—
1397#127—598no—
1398#127—598no—
1399#127—598no—
1400#126—598no—
1401#126—598no—
1402#126—598no—
1403#126—598no—
1404#126—598no—
1405#126—598no—
1406#125—598no—
1407#125—598no—
1408#125—598no—
1409#124—598no—
1410#124—598no—
1411#124—598no—
1412#124—598no—
1413#124—598no—
1414#124—598no—
1415#124—598no—
1416#124—598no—
1417#124—598no—
1418#123—598no—
1419#123—598no—
1420#123—598no—
1421#123—598no—
1422#123—598no—
1423#123—598no—
1424#123—598no—
1425#123—598no—
1426#123—598no—
1427#123—598no—
1428#123—598no—
1429#123—598no—
1430#123—598no—
1431#123—598no—
1432#123—598no—
1433#123—598no—
1434#123—598no—
1435#123—598no—
1436#123C22×D5918yes—
1437#123C22×D5918yescomplemented
1438#123C22×D5918yescomplemented
1439#123C22×D5918yescomplemented
1440C22⋊Q8—598no—
1441C22⋊Q8—598no—
1442C22⋊Q8—598no—
1443C22⋊Q8—598no—
1444C22⋊Q8—598no—
1445C22⋊Q8—598no—
1446C22⋊Q8—598no—
1447C22⋊Q8—598no—
1448C22⋊Q8—598no—
1449C22⋊Q8—598no—
1450C22⋊Q8—598no—
1451#121—598no—
1452#121—598no—
1453#121—598no—
1454#121—598no—
1455#121—598no—
1456#121—598no—
1457#121—598no—
1458#121—598no—
1459#121—598no—
1460#121—598no—
1461#121—598no—
1462#121—598no—
1463#121—598no—
1464#121—598no—
1465#121—598no—
1466#121—598no—
1467#121—598no—
1468#121—598no—
1469#121—598no—
1470#121—598no—
1471#121—598no—
1472#121—598no—
1473#121—598no—
1474#121—598no—
1475#121—598no—
1476#121—598no—
1477#121—598no—
1478#121—598no—
1479#121—598no—
1480#121—598no—
1481#121—598no—
1482#121—598no—
1483#121—598no—
1484#121—598no—
1485#121—598no—
1486#121C22×D5918yescomplemented
1487#121C22×D5918yescomplemented
1488#121C22×D5918yescomplemented
1489#121C22×D5918yescomplemented
1490#120—598no—
1491#120—598no—
1492#120—598no—
1493#120—598no—
1494#120—598no—
1495#120—598no—
1496#120—598no—
1497#120—598no—
1498#120—598no—
1499#120—598no—
1500#120—598no—
1501#120—598no—
1502#120C22×D5918yes—
1503#120C22×D5918yescomplemented
1504#120C22×D5918yescomplemented
1505#120C22×D5918yescomplemented
1506C4×Q8—598no—
1507C4×D4—598no—
1508C4×D4—598no—
1509C4×D4—598no—
1510C4×D4—598no—
1511C4×D4—598no—
1512C4×D4—598no—
1513C4×D4—598no—
1514C4×D4—598no—
1515C4×D4—598no—
1516C4×D4—598no—
1517C4×D4—598no—
1518C4×D4—598no—
1519C4×D4—598no—
1520C4×D4—598no—
1521C4×D4—598no—
1522#117—598no—
1523#117—598no—
1524#117—598no—
1525#117—598no—
1526#117—598no—
1527#117—598no—
1528#117—598no—
1529C2×C4⋊C4—591no—
1530C2×C4⋊C4—591no—
1531C2×C4⋊C4—591no—
1532C2×C4⋊C4—591no—
1533C2×C4⋊C4—591no—
1534C2×C4⋊C4—598no—
1535C2×C4⋊C4—591no—
1536C2×C4⋊C4—591no—
1537C2×C4⋊C4—591no—
1538C2×C4⋊C4—591no—
1539C2×C4⋊C4—591no—
1540C2×C4⋊C4—591no—
1541C2×C4⋊C4—591no—
1542C2×C4⋊C4—591no—
1543C2×C4⋊C4—591no—
1544C2×C4⋊C4—591no—
1545C2×C4⋊C4—591no—
1546C2×C4⋊C4—591no—
1547C2×C4⋊C4—591no—
1548C2×C4⋊C4—591no—
1549C2×C4⋊C4—591no—
1550C2×C4⋊C4—591no—
1551C2×C4⋊C4—591no—
1552C2×C4⋊C4—591no—
1553C2×C4⋊C4—591no—
1554C2×C4⋊C4—598no—
1555C2×C4⋊C4C22×D5911yescharacteristic
1556C2×C4⋊C4C22×D5911yescharacteristic
1557C2×C4⋊C4C22×D5911yescharacteristic
1558C2×C4⋊C4C22×D5911yescharacteristic
1559C2×C22⋊C4—591no—
1560C2×C22⋊C4—591no—
1561C2×C22⋊C4—591no—
1562C2×C22⋊C4—591no—
1563C2×C22⋊C4—591no—
1564C2×C22⋊C4—591no—
1565C2×C22⋊C4—591no—
1566C2×C22⋊C4—591no—
1567C2×C22⋊C4—598no—
1568C2×C22⋊C4—598no—
1569C2×C22⋊C4—591no—
1570C2×C22⋊C4—591no—
1571C2×C22⋊C4—591no—
1572C2×C22⋊C4—591no—
1573C2×C22⋊C4—591no—
1574C2×C22⋊C4—591no—
1575C2×C22⋊C4—591no—
1576C2×C22⋊C4—591no—
1577C2×C22⋊C4—591no—
1578C2×C22⋊C4—591no—
1579C2×C22⋊C4—591no—
1580C2×C22⋊C4—591no—
1581C2×C22⋊C4—591no—
1582C2×C22⋊C4—591no—
1583C2×C22⋊C4—591no—
1584C2×C22⋊C4—591no—
1585C2×C22⋊C4—591no—
1586C2×C22⋊C4—591no—
1587C2×C22⋊C4—591no—
1588C2×C22⋊C4—598no—
1589C2×C22⋊C4—591no—
1590C2×C22⋊C4—591no—
1591C2×C22⋊C4—591no—
1592C2×C22⋊C4—591no—
1593C2×C22⋊C4—591no—
1594C2×C22⋊C4—591no—
1595C2×C22⋊C4—591no—
1596C2×C22⋊C4—591no—
1597C2×C22⋊C4—591no—
1598C2×C22⋊C4—598no—
1599C2×C22⋊C4—598no—
1600C2×C22⋊C4C22×D5911yescharacteristic
1601C2×C22⋊C4C22×D5911yescharacteristic
1602C2×C22⋊C4C22×D5911yescharacteristic
1603C2×C22⋊C4C22×D5911yescharacteristic
1604C2×C22⋊C4C22×D5911yescharacteristic
1605C2×C22⋊C4C22×D5911yescharacteristic
1606C2×C22⋊C4C22×D5911yescharacteristic
1607C2×C22⋊C4C22×D5911yescharacteristic
1608C2×C22⋊C4C22×D5911yescharacteristic
1609C2×C22⋊C4C22×D5911yescharacteristic
1610C2×C22⋊C4C22×D5911yescharacteristic
1611C2×C22⋊C4C22×D5911yescharacteristic
1612C2×C22⋊C4C22×D5918yescomplemented
1613C2×C42—591no—
1614C2×C42—591no—
1615C2×C42—591no—
1616C2×C42—591no—
1617C2×C42—591no—
1618C2×C42—591no—
1619C2×C42—591no—
1620C2×C42—591no—
1621C24—24no—
1622C24—24no—
1623C24—42no—
1624C24—42no—
1625C24—42no—
1626C24—42no—
1627C24—42no—
1628C24—42no—
1629C24—42no—
1630C24—591no—
1631C24—591no—
1632C24—591no—
1633C24—591no—
1634C24—594no—
1635C24—594no—
1636C24—1184no—
1637C24—2362no—
1638C24—2362no—
1639C24—2362no—
1640C24—2362no—
1641C24—2362no—
1642C24C23×D5911yescharacteristic
1643C24C23×D5911yescharacteristic
1644C24C23×D5911yescharacteristic
1645C24C23×D5911yescharacteristic
1646C24C23×D5911yescharacteristic
1647C24C23×D5911yescharacteristic
1648C24C23×D5911yescharacteristic
1649C24C23×D5914yes—
1650C24C23×D5914yes—
1651C24C23×D5914yes—
1652#41—23616no—
1653#41—23616no—
1654#41—23616no—
1655#41—23616no—
1656#41—23616no—
1657C2×Q8—594no—
1658C2×Q8—594no—
1659C2×Q8—594no—
1660C2×Q8—594no—
1661C2×Q8—1184no—
1662C2×Q8—2362no—
1663C2×Q8—2362no—
1664C2×Q8—2362no—
1665C2×D4—24no—
1666C2×D4—24no—
1667C2×D4—42no—
1668C2×D4—42no—
1669C2×D4—42no—
1670C2×D4—42no—
1671C2×D4—42no—
1672C2×D4—42no—
1673C2×D4—416no—
1674C2×D4—42no—
1675C2×D4—42no—
1676C2×D4—42no—
1677C2×D4—42no—
1678C2×D4—416no—
1679C2×D4—594no—
1680C2×D4—594no—
1681C2×D4—594no—
1682C2×D4—594no—
1683C2×D4—594no—
1684C2×D4—594no—
1685C2×D4—594no—
1686C2×D4—594no—
1687C2×D4—594no—
1688C2×D4—594no—
1689C2×D4—594no—
1690C2×D4—594no—
1691C2×D4—594no—
1692C2×D4—594no—
1693C2×D4—594no—
1694C2×D4—594no—
1695C2×D4—594no—
1696C2×D4—594no—
1697C2×D4—594no—
1698C2×D4—594no—
1699C2×D4—594no—
1700C2×D4—594no—
1701C2×D4—594no—
1702C2×D4—594no—
1703C2×D4—594no—
1704C2×D4—594no—
1705C2×D4—594no—
1706C2×D4—594no—
1707C2×D4—1184no—
1708C2×D4—1184no—
1709C2×D4—1184no—
1710C2×D4—1184no—
1711C2×D4—1184no—
1712C2×D4—2362no—
1713C2×D4—2362no—
1714C2×D4—2362no—
1715C2×D4—2362no—
1716C2×D4—23616no—
1717C2×D4—23616no—
1718C2×D4—2362no—
1719C2×D4—2362no—
1720C2×D4—2362no—
1721C2×D4—2362no—
1722C2×D4—2362no—
1723C2×D4—2362no—
1724C2×D4—2362no—
1725C2×D4—2362no—
1726C2×D4—23616no—
1727C2×D4—2362no—
1728C2×D4—2362no—
1729C2×D4—2362no—
1730C2×D4—2362no—
1731C2×D4—2362no—
1732C2×D4—2362no—
1733C2×D4—2362no—
1734C2×D4—2362no—
1735C2×D4—2362no—
1736C2×D4—2362no—
1737C2×D4—2362no—
1738C2×D4—23616no—
1739C2×D4C23×D5914yes—
1740C2×D4C23×D5914yes—
1741C2×D4C23×D5914yes—
1742C2×D4C23×D5914yes—
1743C2×D4C23×D5914yes—
1744C2×D4C23×D5914yes—
1745C2×D4C23×D5914yes—
1746C2×D4C23×D5914yes—
1747C2×D4C23×D5914yes—
1748C2×D4C23×D5914yes—
1749C2×D4C23×D5914yes—
1750C2×D4C23×D5914yes—
1751C22×C4—24no—
1752C22×C4—42no—
1753C22×C4—42no—
1754C22×C4—42no—
1755C22×C4—591no—
1756C22×C4—594no—
1757C22×C4—594no—
1758C22×C4—594no—
1759C22×C4—594no—
1760C22×C4—594no—
1761C22×C4—591no—
1762C22×C4—591no—
1763C22×C4—591no—
1764C22×C4—591no—
1765C22×C4—591no—
1766C22×C4—591no—
1767C22×C4—591no—
1768C22×C4—591no—
1769C22×C4—591no—
1770C22×C4—591no—
1771C22×C4—591no—
1772C22×C4—594no—
1773C22×C4—594no—
1774C22×C4—594no—
1775C22×C4—594no—
1776C22×C4—594no—
1777C22×C4—594no—
1778C22×C4—594no—
1779C22×C4—594no—
1780C22×C4—594no—
1781C22×C4—594no—
1782C22×C4—594no—
1783C22×C4—594no—
1784C22×C4—594no—
1785C22×C4—1184no—
1786C22×C4—1184no—
1787C22×C4—1184no—
1788C22×C4—1184no—
1789C22×C4—1184no—
1790C22×C4—1184no—
1791C22×C4—2362no—
1792C22×C4—2362no—
1793C22×C4—2362no—
1794C22×C4—2362no—
1795C22×C4—2362no—
1796C22×C4—2362no—
1797C22×C4—2362no—
1798C22×C4—23616no—
1799C22×C4—2362no—
1800C22×C4—2362no—
1801C22×C4—2362no—
1802C22×C4—2362no—
1803C22×C4—2362no—
1804C22×C4C23×D5914yes—
1805C22×C4C23×D5911yescharacteristic
1806C22×C4C23×D5911yescharacteristic
1807C22×C4C23×D5911yescharacteristic
1808C22×C4C23×D5911yescharacteristic
1809C22×C4C23×D5911yescharacteristic
1810C22×C4C23×D5911yescharacteristic
1811C22×C4C23×D5911yescharacteristic
1812C22×C4C23×D5911yescharacteristic
1813C22×C4C23×D5914yes—
1814C22×C4C23×D5914yes—
1815C22×C4C23×D5914yes—
1816C4⋊C4—594no—
1817C4⋊C4—594no—
1818C4⋊C4—594no—
1819C4⋊C4—594no—
1820C4⋊C4—594no—
1821C4⋊C4—594no—
1822C4⋊C4—594no—
1823C4⋊C4—594no—
1824C4⋊C4—594no—
1825C4⋊C4—594no—
1826C4⋊C4—594no—
1827C4⋊C4—594no—
1828C4⋊C4—594no—
1829C4⋊C4—594no—
1830C4⋊C4—594no—
1831C4⋊C4—594no—
1832C4⋊C4—594no—
1833C4⋊C4—594no—
1834C4⋊C4—594no—
1835C4⋊C4—594no—
1836C4⋊C4—594no—
1837C4⋊C4—594no—
1838C4⋊C4—594no—
1839C4⋊C4—594no—
1840C4⋊C4C23×D5914yes—
1841C4⋊C4C23×D5914yes—
1842C4⋊C4C23×D5914yes—
1843C4⋊C4C23×D5914yes—
1844C22⋊C4—594no—
1845C22⋊C4—594no—
1846C22⋊C4—594no—
1847C22⋊C4—594no—
1848C22⋊C4—594no—
1849C22⋊C4—594no—
1850C22⋊C4—594no—
1851C22⋊C4—594no—
1852C22⋊C4—594no—
1853C22⋊C4—594no—
1854C22⋊C4—594no—
1855C22⋊C4—594no—
1856C22⋊C4—594no—
1857C22⋊C4—594no—
1858C22⋊C4—594no—
1859C22⋊C4—594no—
1860C22⋊C4—594no—
1861C22⋊C4—594no—
1862C22⋊C4—594no—
1863C22⋊C4—594no—
1864C22⋊C4—594no—
1865C22⋊C4—594no—
1866C22⋊C4—594no—
1867C22⋊C4—594no—
1868C22⋊C4—594no—
1869C22⋊C4—594no—
1870C22⋊C4—594no—
1871C22⋊C4—594no—
1872C22⋊C4—594no—
1873C22⋊C4—594no—
1874C22⋊C4—594no—
1875C22⋊C4—594no—
1876C22⋊C4—594no—
1877C22⋊C4—594no—
1878C22⋊C4—594no—
1879C22⋊C4—594no—
1880C22⋊C4C23×D5914yes—
1881C22⋊C4C23×D5914yes—
1882C22⋊C4C23×D5914yes—
1883C22⋊C4C23×D5914yes—
1884C22⋊C4C23×D5914yes—
1885C22⋊C4C23×D5914yes—
1886C22⋊C4C23×D5914yes—
1887C22⋊C4C23×D5914yes—
1888C22⋊C4C23×D5914yes—
1889C22⋊C4C23×D5914yes—
1890C22⋊C4C23×D5914yes—
1891C22⋊C4C23×D5914yes—
1892C42—594no—
1893C42—594no—
1894C42—594no—
1895C42—594no—
1896C42—594no—
1897C42—594no—
1898C42—594no—
1899C42—594no—
1900C23—22no—
1901C23—22no—
1902C23—22no—
1903C23—22no—
1904C23—22no—
1905C23—22no—
1906C23—22no—
1907C23—22no—
1908C23—22no—
1909C23—22no—
1910C23—22no—
1911C23—22no—
1912C23—28no—
1913C23—22no—
1914C23—22no—
1915C23—22no—
1916C23—22no—
1917C23—22no—
1918C23—22no—
1919C23—22no—
1920C23—22no—
1921C23—28no—
1922C23—44no—
1923C23—44no—
1924C23—44no—
1925C23—44no—
1926C23—44no—
1927C23—44no—
1928C23—44no—
1929C23—416no—
1930C23—88no—
1931C23—88no—
1932C23—592no—
1933C23—592no—
1934C23—592no—
1935C23—592no—
1936C23—1188no—
1937C23—1182no—
1938C23—1182no—
1939C23—1182no—
1940C23—1182no—
1941C23—1182no—
1942C23—1182no—
1943C23—1182no—
1944C23—1182no—
1945C23—1182no—
1946C23—1182no—
1947C23—1182no—
1948C23—1182no—
1949C23—4728no—
1950C23—4728no—
1951C23—2364no—
1952C23—2364no—
1953C23—2364no—
1954C23—2364no—
1955C23—2364no—
1956C23#1427377214yes—
1957C23C24×D5912yes—
1958C23C24×D5912yes—
1959C23C24×D5912yes—
1960C23C24×D5912yes—
1961C23C24×D5912yes—
1962C23C24×D5912yes—
1963C23C24×D5912yes—
1964C23C24×D5911yescharacteristic
1965Q8—1188no—
1966Q8—2364no—
1967Q8—2364no—
1968Q8—2364no—
1969D4—28no—
1970D4—28no—
1971D4—44no—
1972D4—44no—
1973D4—44no—
1974D4—44no—
1975D4—44no—
1976D4—44no—
1977D4—44no—
1978D4—44no—
1979D4—44no—
1980D4—44no—
1981D4—1188no—
1982D4—1188no—
1983D4—1188no—
1984D4—1188no—
1985D4—1188no—
1986D4—2364no—
1987D4—2364no—
1988D4—2364no—
1989D4—2364no—
1990D4—2364no—
1991D4—2364no—
1992D4—2364no—
1993D4—2364no—
1994D4—2364no—
1995D4—2364no—
1996D4—2364no—
1997D4—2364no—
1998D4—2364no—
1999D4—2364no—
2000D4—2364no—
2001D4—2364no—
2002D4—2364no—
2003D4—2364no—
2004D4—2364no—
2005D4—2364no—
2006D4—2364no—
2007D4—2364no—
2008D4—2364no—
2009C2×C4—22no—
2010C2×C4—22no—
2011C2×C4—22no—
2012C2×C4—22no—
2013C2×C4—28no—
2014C2×C4—22no—
2015C2×C4—22no—
2016C2×C4—22no—
2017C2×C4—22no—
2018C2×C4—44no—
2019C2×C4—44no—
2020C2×C4—44no—
2021C2×C4—594no—
2022C2×C4—592no—
2023C2×C4—592no—
2024C2×C4—592no—
2025C2×C4—592no—
2026C2×C4—592no—
2027C2×C4—592no—
2028C2×C4—592no—
2029C2×C4—592no—
2030C2×C4—592no—
2031C2×C4—592no—
2032C2×C4—592no—
2033C2×C4—592no—
2034C2×C4—1188no—
2035C2×C4—1188no—
2036C2×C4—1188no—
2037C2×C4—1188no—
2038C2×C4—1188no—
2039C2×C4—1182no—
2040C2×C4—1182no—
2041C2×C4—1182no—
2042C2×C4—1182no—
2043C2×C4—1182no—
2044C2×C4—1182no—
2045C2×C4—1182no—
2046C2×C4—1188no—
2047C2×C4—1182no—
2048C2×C4—1182no—
2049C2×C4—1182no—
2050C2×C4—1182no—
2051C2×C4—2364no—
2052C2×C4—2364no—
2053C2×C4—2364no—
2054C2×C4—2364no—
2055C2×C4—2364no—
2056C2×C4—2364no—
2057C2×C4—2364no—
2058C2×C4—2364no—
2059C2×C4—2364no—
2060C2×C4—2364no—
2061C2×C4—2364no—
2062C2×C4—2364no—
2063C2×C4C24×D5912yes—
2064C2×C4C24×D5912yes—
2065C2×C4C24×D5912yes—
2066C2×C4C24×D5912yes—
2067C2×C4C24×D5912yes—
2068C2×C4C24×D5912yes—
2069C2×C4C24×D5912yes—
2070C2×C4C24×D5912yes—
2071C22—22no—
2072C22—22no—
2073C22—28no—
2074C22—22no—
2075C22—22no—
2076C22—22no—
2077C22—22no—
2078C22—22no—
2079C22—22no—
2080C22—22no—
2081C22—22no—
2082C22—22no—
2083C22—22no—
2084C22—22no—
2085C22—22no—
2086C22—22no—
2087C22—22no—
2088C22—22no—
2089C22—22no—
2090C22—22no—
2091C22—22no—
2092C22—416no—
2093C22—44no—
2094C22—44no—
2095C22—44no—
2096C22—44no—
2097C22—44no—
2098C22—44no—
2099C22—88no—
2100C22—88no—
2101C22—1182no—
2102C22—1182no—
2103C22—1182no—
2104C22—1182no—
2105C22—1182no—
2106C22—1182no—
2107C22—1182no—
2108C22—1182no—
2109C22—1182no—
2110C22—1182no—
2111C22—1182no—
2112C22—1182no—
2113C22—4728no—
2114C22—4728no—
2115C22—2364no—
2116C22—2364no—
2117C22—2364no—
2118C22—2364no—
2119C22H(5,𝔽2)×D5912yes—
2120C22C2×#1427377214yes—
2121C22C2×#1427377212yes—
2122C22#1683823712yes—
2123C22C25×D5911yescharacteristic
2124C4—22no—
2125C4—22no—
2126C4—22no—
2127C4—22no—
2128C4—22no—
2129C4—22no—
2130C4—22no—
2131C4—22no—
2132C4—594no—
2133C4—1182no—
2134C4—1182no—
2135C4—1182no—
2136C4—1182no—
2137C4—1182no—
2138C4—1182no—
2139C4—1182no—
2140C4—1182no—
2141C4—1182no—
2142C4—1182no—
2143C4—1182no—
2144C2—24no—
2145C2—42no—
2146C2—42no—
2147C2—42no—
2148C2—42no—
2149C2—42no—
2150C2—42no—
2151C2—2362no—
2152C2—2362no—
2153C2—2362no—
2154C2—2362no—
2155C2#2143840714yesdirect product factor
2156C2C2×H(5,𝔽2)×D5911yescharacteristic
2157C2C22×#1427377211yescharacteristic
2158C2C2×#1683823711yescharacteristic
subgroupG/H
centerC23C24×D59
commutator, cosocleC22×C59C26
FrattiniC22C25×D59
FittingC2×C59×#534C2
socleC23×C59C25
hypercenterC2×#534D59
hypocenterC59C2×#3542
LCSG ▷ C22×C59 ▷ C59
UCSC1 ◁ C23 ◁ C2×#534

Complements

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

NH ≅ G/Ntype
1. #21438407C2direct (N × H)
2. C2×#16838149C2semidirect
3. C2×#16838147C2semidirect
4. C2×#16838141C2semidirect
5. C2×#16838140C2semidirect
6. C2×#16838116C2semidirect
7. C2×#16838097C2semidirect
8. C2×#16838089C2semidirect
9. C2×#16838078C2semidirect
10. C2×#16838075C2semidirect
11. C2×#16838070C2semidirect
12. C2×#16838050C2semidirect
13. C2×#16838046C2semidirect
14. C2×#16838044C2semidirect
15. C2×#16838042C2semidirect
16. C2×#16838039C2semidirect
17. C2×D4×C22⋊D59C2semidirect
18. C2×#16838020C2semidirect
19. C2×#16838005C2semidirect
20. C2×#16838004C2semidirect
21. C2×#16838002C2semidirect
22. C2×#16837987C2semidirect
23. C2×#16837984C2semidirect
24. C2×#16837981C2semidirect
25. C2×#16837969C2semidirect
26. C2×#16837967C2semidirect
27. C2×#16837967C2semidirect
28. C2×#16837962C2semidirect
29. C2×#16837908C2semidirect
30. C2×#16837908C2semidirect
31. C22×#14273699C2semidirect
32. C2×C59×#534C2semidirect
33. C22×#11745685C22semidirect
34. C22×#11745685C22semidirect
35. C22×#11745687C22semidirect
36. C22×#11745687C22semidirect
37. C22×#11745687C22semidirect
39. C23×C22⋊D59C22semidirect
40. C23×C22⋊D59C22semidirect
42. C24×Dic59C22semidirect
43. #16838149C22semidirect
44. #16838147C22semidirect
45. #16838141C22semidirect
46. #16838140C22semidirect
47. #16838116C22semidirect
48. #16838097C22semidirect
49. #16838089C22semidirect
50. #16838078C22semidirect
51. #16838075C22semidirect
52. #16838070C22semidirect
53. #16838050C22semidirect
54. #16838046C22semidirect
55. #16838044C22semidirect
56. #16838042C22semidirect
57. #16838039C22semidirect
58. D4×C22⋊D59C22semidirect
59. #16838020C22semidirect
60. #16838005C22semidirect
61. #16838004C22semidirect
62. #16838002C22semidirect
63. #16837987C22semidirect
64. #16837984C22semidirect
65. #16837981C22semidirect
66. #16837969C22semidirect
67. #16837967C22semidirect
68. #16837967C22semidirect
69. #16837962C22semidirect
70. C2×#14273726C22semidirect
71. C2×#14273723C22semidirect
72. C2×#14273723C22semidirect
73. C2×#14273723C22semidirect
74. C2×#14273723C22semidirect
75. C2×#14273723C22semidirect
76. C2×#14273722C22semidirect
77. C2×#14273722C22semidirect
78. C2×#14273720C22semidirect
79. C2×#14273720C22semidirect
80. C2×#14273720C22semidirect
81. C2×#14273720C22semidirect
82. C2×#14273718C22semidirect
83. C2×#14273717C22semidirect
84. C2×#14273717C22semidirect
85. C2×#14273714C22semidirect
86. C2×#14273714C22semidirect
87. C2×#14273714C22semidirect
88. C2×#14273713C22semidirect
89. C2×#14273713C22semidirect
90. C2×#14273713C22semidirect
91. C2×#14273713C22semidirect
92. C2×#14273713C22semidirect
93. C2×#14273713C22semidirect
94. #16837908C22semidirect
95. #16837908C22semidirect
96. C2×#14273712C22semidirect
97. C2×#14273712C22semidirect
98. C2×#14273711C22semidirect
99. C2×#14273711C22semidirect
100. C2×#14273711C22semidirect
101. C2×#14273711C22semidirect
102. C2×#14273710C22semidirect
103. C2×#14273710C22semidirect
104. C2×#14273709C22semidirect
105. C2×#14273709C22semidirect
106. C2×#14273709C22semidirect
107. C2×#14273709C22semidirect
108. C2×#14273709C22semidirect
109. C2×#14273709C22semidirect
111. C2×#14273708C22semidirect
112. C2×#14273708C22semidirect
113. C2×#14273708C22semidirect
114. C2×#14273707C22semidirect
115. C2×#14273706C22semidirect
116. C2×#14273706C22semidirect
117. C2×#14273705C22semidirect
118. C2×#14273705C22semidirect
119. C2×#14273704C22semidirect
120. C2×#14273704C22semidirect
121. C2×#14273704C22semidirect
122. C2×#14273704C22semidirect
123. C2×#14273704C22semidirect
124. C2×#14273704C22semidirect
125. C2×#14273702C22semidirect
126. C2×#14273701C22semidirect
127. C2×#14273701C22semidirect
128. C2×#14273700C22semidirect
129. C2×#14273700C22semidirect
130. C2×#14273700C22semidirect
131. C2×#14273700C22semidirect
132. C2×#14273700C22semidirect
133. C2×#14273700C22semidirect
134. C2×#14273700C22semidirect
135. C2×#14273700C22semidirect
140. C2×#14273699C22semidirect
141. C2×#14273699C22semidirect
142. C2×#14273699C22semidirect
143. C2×#14273699C22semidirect
144. C2×#14273699C22semidirect
145. C2×#14273699C22semidirect
146. C2×#14273699C22semidirect
147. C2×#14273699C22semidirect
148. C2×#14273699C22semidirect
149. C2×#14273699C22semidirect
150. C2×#14273699C22semidirect
151. C2×#14273699C22semidirect
152. C2×#14273699C22semidirect
153. C2×#14273698C22semidirect
154. C2×#14273698C22semidirect
155. C2×#14273698C22semidirect
156. C2×#14273698C22semidirect
157. C2×#14273698C22semidirect
158. C2×#14273698C22semidirect
159. C2×#14273698C22semidirect
160. C2×#14273698C22semidirect
161. C2×#14273697C22semidirect
162. C2×#14273697C22semidirect
164. C2×#14273696C22semidirect
165. C2×#14273696C22semidirect
166. C2×#14273696C22semidirect
167. C2×#14273696C22semidirect
168. C2×#14273696C22semidirect
170. C2×#14273695C22semidirect
171. C2×#14273695C22semidirect
172. C2×#14273695C22semidirect
173. C2×#14273692C22semidirect
175. C2×D4×Dic59C22semidirect
176. C2×D4×Dic59C22semidirect
177. C2×D4×Dic59C22semidirect
178. C2×#14273689C22semidirect
179. C2×C4×C22⋊D59C22semidirect
180. C2×C4×C22⋊D59C22semidirect
181. C2×C4×C22⋊D59C22semidirect
182. C2×C4×C22⋊D59C22semidirect
183. C2×(C22⋊D59)⋊C4C22semidirect
184. C2×(C22⋊D59)⋊C4C22semidirect
185. C2×(C22⋊D59)⋊C4C22semidirect
186. C2×(C22⋊D59)⋊C4C22semidirect
187. C2×(C22⋊D59)⋊C4C22semidirect
188. C2×(C22⋊D59)⋊C4C22semidirect
189. C2×#14273686C22semidirect
190. C2×#14273686C22semidirect
191. C2×#14273685C22semidirect
192. C2×#14273683C22semidirect
193. C2×#14273683C22semidirect
194. C2×#14273683C22semidirect
195. C2×#14273683C22semidirect
196. C22×Dic59⋊C4C22semidirect
197. C2×C4⋊C4×D59C22semidirect
198. C22×C22⋊Dic59C22semidirect
199. C22×C22⋊Dic59C22semidirect
200. C22×(C2×D59)⋊C4C22semidirect
201. C2×C22⋊C4×D59C22semidirect
202. C2×C22⋊C4×D59C22semidirect
204. C23×D4×C59C22semidirect
205. C59×#534C22semidirect
207. C2×#123×C59C22semidirect
208. C2×#123×C59C22semidirect
209. C2×#123×C59C22semidirect
210. C2×#121×C59C22semidirect
211. C2×#121×C59C22semidirect
212. C2×#121×C59C22semidirect
213. C2×#121×C59C22semidirect
215. C2×#120×C59C22semidirect
216. C2×#120×C59C22semidirect
217. C2×#120×C59C22semidirect
218. C22×C22⋊C4×C59C22semidirect
223. C2×#11745685C23semidirect
224. C2×#11745685C23semidirect
228. C2×#11745687C23semidirect
229. C2×#11745687C23semidirect
230. C2×#11745687C23semidirect
267. C22×C22⋊D59C23semidirect
268. C22×C22⋊D59C23semidirect
282. C23×Dic59C23semidirect
291. #14273726C23semidirect
292. #14273723C23semidirect
293. #14273723C23semidirect
294. #14273723C23semidirect
295. #14273723C23semidirect
296. #14273723C23semidirect
297. #14273722C23semidirect
298. #14273722C23semidirect
299. #14273720C23semidirect
300. #14273720C23semidirect
301. #14273720C23semidirect
302. #14273720C23semidirect
303. #14273718C23semidirect
304. #14273717C23semidirect
305. #14273717C23semidirect
306. #14273714C23semidirect
307. #14273714C23semidirect
308. #14273714C23semidirect
309. #14273713C23semidirect
310. #14273713C23semidirect
311. #14273713C23semidirect
312. #14273713C23semidirect
313. #14273713C23semidirect
314. #14273713C23semidirect
315. #14273712C23semidirect
316. #14273712C23semidirect
317. #14273711C23semidirect
318. #14273711C23semidirect
319. #14273711C23semidirect
320. #14273711C23semidirect
321. #14273710C23semidirect
322. #14273710C23semidirect
323. #14273709C23semidirect
324. #14273709C23semidirect
325. #14273709C23semidirect
326. #14273709C23semidirect
327. #14273709C23semidirect
328. #14273709C23semidirect
330. #14273708C23semidirect
331. #14273708C23semidirect
332. #14273708C23semidirect
333. #14273707C23semidirect
334. #14273706C23semidirect
335. #14273706C23semidirect
336. #14273705C23semidirect
337. #14273705C23semidirect
338. #14273704C23semidirect
339. #14273704C23semidirect
340. #14273704C23semidirect
341. #14273704C23semidirect
342. #14273704C23semidirect
343. #14273704C23semidirect
344. #14273702C23semidirect
345. #14273701C23semidirect
346. #14273701C23semidirect
347. #14273700C23semidirect
348. #14273700C23semidirect
349. #14273700C23semidirect
350. #14273700C23semidirect
351. #14273700C23semidirect
352. #14273700C23semidirect
353. #14273700C23semidirect
354. #14273700C23semidirect
359. #14273699C23semidirect
360. #14273699C23semidirect
361. #14273699C23semidirect
362. #14273699C23semidirect
363. #14273699C23semidirect
364. #14273699C23semidirect
365. #14273699C23semidirect
366. #14273699C23semidirect
367. #14273699C23semidirect
368. #14273699C23semidirect
369. #14273699C23semidirect
370. #14273699C23semidirect
371. #14273698C23semidirect
372. #14273698C23semidirect
373. #14273698C23semidirect
374. #14273698C23semidirect
375. #14273698C23semidirect
376. #14273698C23semidirect
377. #14273698C23semidirect
378. #14273698C23semidirect
379. #14273697C23semidirect
380. #14273697C23semidirect
382. #14273696C23semidirect
383. #14273696C23semidirect
384. #14273696C23semidirect
385. #14273696C23semidirect
386. #14273696C23semidirect
388. #14273695C23semidirect
389. #14273695C23semidirect
390. #14273695C23semidirect
391. #14273692C23semidirect
393. D4×Dic59C23semidirect
394. D4×Dic59C23semidirect
395. D4×Dic59C23semidirect
396. #14273689C23semidirect
397. C4×C22⋊D59C23semidirect
398. C4×C22⋊D59C23semidirect
399. C4×C22⋊D59C23semidirect
400. C4×C22⋊D59C23semidirect
401. (C22⋊D59)⋊C4C23semidirect
402. (C22⋊D59)⋊C4C23semidirect
403. (C22⋊D59)⋊C4C23semidirect
404. (C22⋊D59)⋊C4C23semidirect
405. (C22⋊D59)⋊C4C23semidirect
406. (C22⋊D59)⋊C4C23semidirect
407. #14273686C23semidirect
408. #14273686C23semidirect
409. #14273685C23semidirect
410. #14273683C23semidirect
411. #14273683C23semidirect
412. #14273683C23semidirect
413. #14273683C23semidirect
438. C2×Dic59⋊C4C23semidirect
439. C4⋊C4×D59C23semidirect
460. C2×C22⋊Dic59C23semidirect
461. C2×C22⋊Dic59C23semidirect
478. C2×(C2×D59)⋊C4C23semidirect
479. C22⋊C4×D59C23semidirect
480. C22⋊C4×D59C23semidirect
507. C22×D4×C59C23semidirect
513. #123×C59C23semidirect
514. #123×C59C23semidirect
515. #123×C59C23semidirect
516. #121×C59C23semidirect
517. #121×C59C23semidirect
518. #121×C59C23semidirect
519. #121×C59C23semidirect
521. #120×C59C23semidirect
522. #120×C59C23semidirect
523. #120×C59C23semidirect
540. C2×C22⋊C4×C59C23semidirect
1093. C2×#534D59semidirect
1104. C2×C59#3542semidirect
1122. C23×D4C2×D59semidirect
1151. #534C2×D59semidirect
1197. C2×#123C2×D59semidirect
1198. C2×#123C2×D59semidirect
1199. C2×#123C2×D59semidirect
1247. C2×#121C2×D59semidirect
1248. C2×#121C2×D59semidirect
1249. C2×#121C2×D59semidirect
1250. C2×#121C2×D59semidirect
1264. C2×#120C2×D59semidirect
1265. C2×#120C2×D59semidirect
1266. C2×#120C2×D59semidirect
1297. C22×C22⋊C4C2×D59semidirect
1298. C59C2×#3542semidirect
1369. C22×D4C22×D59semidirect
1437. #123C22×D59semidirect
1438. #123C22×D59semidirect
1439. #123C22×D59semidirect
1486. #121C22×D59semidirect
1487. #121C22×D59semidirect
1488. #121C22×D59semidirect
1489. #121C22×D59semidirect
1503. #120C22×D59semidirect
1504. #120C22×D59semidirect
1505. #120C22×D59semidirect
1612. C2×C22⋊C4C22×D59semidirect
2155. C2#21438407direct (N × H)

Maximal subgroups

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

subgroupindex
#214384072
C2×#168381492
C2×#168381472
C2×#168381412
C2×#168381402
C2×#168381162
C2×#168380972
C2×#168380892
C2×#168380782
C2×#168380752
C2×#168380702
C2×#168380502
C2×#168380462
C2×#168380442
C2×#168380422
C2×#168380392
C2×D4×C22⋊D592
C2×#168380202
C2×#168380052
C2×#168380042
C2×#168380022
C2×#168379872
C2×#168379842
C2×#168379812
C2×#168379692
C2×#168379672
C2×#168379622
C2×#168379082
C22×#142736992
C2×C59×#5342
C2×#354259