Finite Group Databasebeta

← C2×#21438311 #29495908

Subgroups — C2×#21438311 #29495908

Order 15104.

7962 conjugacy classes of subgroups.

The subgroup lattice has 2088 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438311C2132yesmaximal, direct product factor
2C2×#16838149C211yesmaximal, characteristic, complemented
3C2×#16838147C211yesmaximal, characteristic, complemented
4C2×#16838147C211yesmaximal, characteristic, complemented
5C2×#16838146C211yesmaximal, characteristic, complemented
6C2×#16838111C211yesmaximal, characteristic, complemented
7C2×#16838106C211yesmaximal, characteristic, complemented
8C2×#16838061C211yesmaximal, characteristic, complemented
9C2×#16838058C211yesmaximal, characteristic, complemented
10C2×#16838051C211yesmaximal, characteristic, complemented
11C2×#16838050C211yesmaximal, characteristic, complemented
12C2×#16838046C211yesmaximal, characteristic, complemented
13C2×#16838042C211yesmaximal, characteristic, complemented
14C2×#16838042C211yesmaximal, characteristic, complemented
15C2×#16838039C211yesmaximal, characteristic, complemented
16C2×#16838039C211yesmaximal, characteristic, complemented
17C2×#16838028C211yesmaximal, characteristic, complemented
18C2×#16838027C211yesmaximal, characteristic, complemented
19C2×#16838020C211yesmaximal, characteristic, complemented
20C2×#16838016C211yesmaximal, characteristic, complemented
21C2×#16837996C211yesmaximal, characteristic, complemented
22C2×#16837994C211yesmaximal, characteristic, complemented
23C2×#16837987C211yesmaximal, characteristic, complemented
24C2×#16837985C211yesmaximal, characteristic, complemented
25C2×#16837981C211yesmaximal, characteristic, complemented
26C2×#16837980C211yesmaximal, characteristic, complemented
27C2×#16837979C211yesmaximal, characteristic, complemented
28C2×#16837979C211yesmaximal, characteristic, complemented
29C2×#16837908C211yesmaximal, characteristic, complemented
30C22×#14273704C211yesmaximal, characteristic, complemented
31C22×#14273699C211yesmaximal, characteristic, complemented
32C2×C59×#546C211yesmaximal, characteristic, complemented
33C22×#11745685C2211yescharacteristic, complemented
34C22×#11745685C2211yescharacteristic, complemented
35C22×#11745687C2211yescharacteristic, complemented
36C22×#11745687C2211yescharacteristic, complemented
37C22×#11745687C2211yescharacteristic, complemented
38C22×#11745687C2211yescharacteristic, complemented
39C23×Dic118C2211yescharacteristic, complemented
40C23×C22⋊D59C2211yescharacteristic
41C23×C22⋊D59C2211yescharacteristic
42C24×Dic59C2211yescharacteristic
43#16838149C22116yescomplemented
44#16838147C22116yescomplemented
45#16838147C22116yescomplemented
46#16838146C22116yescomplemented
47#16838111C22116yescomplemented
48#16838106C22116yescomplemented
49#16838061C22116yescomplemented
50#16838058C22116yescomplemented
51#16838051C22116yescomplemented
52#16838050C22116yescomplemented
53#16838046C22116yescomplemented
54#16838042C22116yescomplemented
55#16838042C22116yescomplemented
56#16838039C22116yescomplemented
57#16838039C22116yescomplemented
58#16838028C22116yescomplemented
59#16838027C22116yescomplemented
60#16838020C22116yescomplemented
61#16838016C22116yescomplemented
62#16837996C22116yescomplemented
63#16837994C22116yescomplemented
64#16837987C22116yescomplemented
65#16837985C22116yescomplemented
66#16837981C22116yescomplemented
67#16837980C22116yescomplemented
68#16837979C22116yescomplemented
69#16837979C22116yescomplemented
70C2×#14273726C2211yescharacteristic, complemented
71C2×#14273725C2211yescharacteristic, complemented
72C2×#14273722C2211yescharacteristic, complemented
73C2×#14273721C2211yescharacteristic, complemented
74C2×#14273720C2211yescharacteristic, complemented
75C2×#14273720C2211yescharacteristic, complemented
76C2×#14273719C2211yescharacteristic, complemented
77C2×#14273718C2211yescharacteristic, complemented
78C2×#14273717C2211yescharacteristic, complemented
79C2×#14273717C2211yescharacteristic, complemented
80C2×#14273715C2211yescharacteristic, complemented
81C2×#14273714C2211yescharacteristic, complemented
82C2×#14273714C2211yescharacteristic, complemented
83C2×#14273713C2211yescharacteristic, complemented
84C2×#14273713C2211yescharacteristic, complemented
85C2×#14273713C2211yescharacteristic, complemented
86C2×#14273713C2211yescharacteristic, complemented
87C2×#14273713C2211yescharacteristic, complemented
88C2×#14273713C2211yescharacteristic, complemented
89#16837908C22116yescomplemented
90C2×#14273712C2211yescharacteristic, complemented
91C2×#14273711C2211yescharacteristic, complemented
92C2×#14273711C2211yescharacteristic, complemented
93C2×#14273711C2211yescharacteristic, complemented
94C2×#14273710C2211yescharacteristic, complemented
95C2×#14273710C2211yescharacteristic, complemented
96C2×#14273710C2211yescharacteristic, complemented
97C2×#14273709C2211yescharacteristic, complemented
98C2×#14273709C2211yescharacteristic, complemented
99C2×#14273709C2211yescharacteristic, complemented
100C2×#14273709C2211yescharacteristic, complemented
101C2×#14273709C2211yescharacteristic, complemented
102C2×#14273708C2211yescharacteristic, complemented
103C2×#14273708C2211yescharacteristic, complemented
104C2×#14273708C2211yescharacteristic, complemented
105C2×#14273708C2211yescharacteristic, complemented
106C2×#14273707C2211yescharacteristic, complemented
107C2×#14273707C2211yescharacteristic, complemented
108C2×#14273706C2211yescharacteristic
109C2×#14273706C2211yescharacteristic, complemented
110C2×#14273706C2211yescharacteristic, complemented
111C2×#14273706C2211yescharacteristic, complemented
112C2×#14273706C2211yescharacteristic, complemented
113C2×#14273706C2211yescharacteristic, complemented
114C2×#14273705C2211yescharacteristic, complemented
115C2×#14273705C2211yescharacteristic, complemented
116C2×#14273705C2211yescharacteristic, complemented
117C2×#14273705C2211yescharacteristic, complemented
118C2×#14273705C2211yescharacteristic, complemented
119C2×#14273705C2211yescharacteristic, complemented
120C2×#14273704C2211yescharacteristic
121C2×#14273704C2211yescharacteristic
122C2×#14273704C2211yescharacteristic
123C2×#14273704C2211yescharacteristic
124C2×#14273704C2211yescharacteristic
125C2×#14273704C2211yescharacteristic
126C2×#14273704C2211yescharacteristic
127C2×#14273704C2211yescharacteristic, complemented
128C2×#14273704C2211yescharacteristic, complemented
129C2×#14273704C2211yescharacteristic, complemented
130C2×#14273704C2211yescharacteristic, complemented
131C2×#14273704C2211yescharacteristic, complemented
132C2×#14273704C2211yescharacteristic, complemented
133C2×#14273704C2211yescharacteristic, complemented
134C2×#14273704C2211yescharacteristic, complemented
135C2×#14273704C2211yescharacteristic, complemented
136C2×#14273704C2211yescharacteristic, complemented
137C2×#14273704C2211yescharacteristic, complemented
138C2×#14273704C22116yescomplemented
139C2×#14273703C2211yescharacteristic, complemented
140C2×#14273703C2211yescharacteristic, complemented
141C2×#14273703C2211yescharacteristic, complemented
142C2×#14273701C2211yescharacteristic, complemented
143C2×#14273701C2211yescharacteristic, complemented
144C2×#14273701C2211yescharacteristic, complemented
145C2×#14273700C2211yescharacteristic, complemented
146C2×#14273700C2211yescharacteristic, complemented
147C2×#14273700C2211yescharacteristic, complemented
148C2×#14273700C2211yescharacteristic, complemented
149C2×#14273700C2211yescharacteristic, complemented
150C2×#14273699C2211yescharacteristic
151C2×#14273699C2211yescharacteristic
152C2×#14273699C2211yescharacteristic
153C2×#14273699C2211yescharacteristic
154C2×#14273699C2211yescharacteristic
155C2×#14273699C2211yescharacteristic
156C2×#14273699C2211yescharacteristic
157C2×#14273699C2211yescharacteristic
158C2×#14273699C2211yescharacteristic
159C2×#14273699C22116yescomplemented
160C2×#14273699C2211yescharacteristic, complemented
161C2×#14273699C2211yescharacteristic, complemented
162C2×#14273699C2211yescharacteristic, complemented
163C2×#14273699C2211yescharacteristic, complemented
164C2×#14273699C2211yescharacteristic, complemented
165C2×#14273699C2211yescharacteristic, complemented
166C2×#14273699C2211yescharacteristic, complemented
167C2×#14273699C2211yescharacteristic, complemented
168C2×#14273698C2211yescharacteristic, complemented
169C2×#14273698C2211yescharacteristic, complemented
170C2×#14273698C2211yescharacteristic, complemented
171C2×#14273698C2211yescharacteristic, complemented
172C2×#14273697C2211yescharacteristic
173C2×#14273696C2211yescharacteristic
174C2×#14273696C2211yescharacteristic
175C2×#14273695C2211yescharacteristic
176C2×C4×Dic118C2211yescharacteristic, complemented
177C2×#14273692C2211yescharacteristic, complemented
178C2×D4×Dic59C2211yescharacteristic
179C2×D4×Dic59C2211yescharacteristic
180C2×D4×Dic59C2211yescharacteristic, complemented
181C2×D4×Dic59C2211yescharacteristic, complemented
182C2×C4×C22⋊D59C2211yescharacteristic
183C2×C4×C22⋊D59C2211yescharacteristic, complemented
184C2×C4×C22⋊D59C2211yescharacteristic, complemented
185C2×(C22⋊D59)⋊C4C2211yescharacteristic
186C2×(C22⋊D59)⋊C4C2211yescharacteristic
187C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
188C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
189C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
190C2×#14273683C2211yescharacteristic, complemented
191C22×C4⋊Dic59C2211yescharacteristic, complemented
192C22×Dic59⋊C4C2211yescharacteristic
193C22×Dic59⋊C4C2211yescharacteristic, complemented
194C22×Dic59⋊C4C2211yescharacteristic, complemented
195C22×Dic59⋊C4C2211yescharacteristic, complemented
196C2×C4⋊C4×D59C2211yescharacteristic, complemented
197C22×C22⋊Dic59C2211yescharacteristic
198C22×C22⋊Dic59C2211yescharacteristic
199C22×C22⋊Dic59C2211yescharacteristic
200C22×(C2×D59)⋊C4C2211yescharacteristic
201C2×C22⋊C4×D59C2211yescharacteristic
202C2×C22⋊C4×D59C2211yescharacteristic
203C22×#41×C59C2211yescharacteristic, complemented
204C23×D4×C59C2211yescharacteristic
205C59×#546C22116yescomplemented
206C2×#124×C59C2211yescharacteristic, complemented
207C2×#123×C59C2211yescharacteristic, complemented
208C2×#123×C59C2211yescharacteristic, complemented
209C2×C22⋊Q8×C59C2211yescharacteristic
210C2×#121×C59C2211yescharacteristic, complemented
211C2×#121×C59C2211yescharacteristic, complemented
212C2×#121×C59C2211yescharacteristic, complemented
213C2×#120×C59C2211yescharacteristic
214C2×#120×C59C2211yescharacteristic
215C2×C4×D4×C59C2211yescharacteristic
216C2×C4×D4×C59C2211yescharacteristic, complemented
217C22×C22⋊C4×C59C2211yescharacteristic
218C22×C22⋊C4×C59C2211yescharacteristic
219C24×D59C2311yescharacteristic
220C2×#11745685—44no—
221C2×#11745685—44no—
222C2×#11745685C2318yescomplemented
223C2×#11745685C2318yescomplemented
224C2×#11745687—44no—
225C2×#11745687—44no—
226C2×#11745687—44no—
227C2×#11745687—44no—
228C2×#11745687C2318yescomplemented
229C2×#11745687C2318yescomplemented
230C2×#11745687C2318yescomplemented
231C2×#11745687C2318yescomplemented
232C22×Dic118—44no—
233C22×Dic118C2311yescharacteristic
234C22×Dic118C2311yescharacteristic
235C22×Dic118C2311yescharacteristic
236C22×Dic118C2311yescharacteristic
237C22×Dic118C2311yescharacteristic
238C22×Dic118C2311yescharacteristic
239C22×Dic118C2311yescharacteristic
240C22×Dic118C2311yescharacteristic
241C22×Dic118C2318yescomplemented
242C22×D236C2311yescharacteristic
243C22×D236C2311yescharacteristic
244C22×C22⋊D59—44no—
245C22×C22⋊D59—44no—
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⋊D59C2318yes—
263C22×C22⋊D59C2318yes—
264C23×Dic59—44no—
265C23×Dic59C2311yescharacteristic
266C23×Dic59C2311yescharacteristic
267C23×Dic59C2311yescharacteristic
268C23×Dic59C2311yescharacteristic
269C23×Dic59C2311yescharacteristic
270C23×Dic59C2311yescharacteristic
271C23×Dic59C2311yescharacteristic
272C23×Dic59C2311yescharacteristic
273C23×Dic59C2318yes—
274C23×Dic59C2311yescharacteristic
275C23×Dic59C2311yescharacteristic
276C23×Dic59C2311yescharacteristic
277C23×Dic59C2311yescharacteristic
278C23×Dic59C2311yescharacteristic
279C22×C4×D59C2311yescharacteristic
280C22×C4×D59C2311yescharacteristic
281C22×C4×D59C2311yescharacteristic
282C22×C4×D59C2311yescharacteristic
283C22×C4×D59C2311yescharacteristic
284C22×C4×D59C2311yescharacteristic
285C22×C4×D59C2311yescharacteristic
286#14273726C2318yescomplemented
287#14273725C2318yescomplemented
288#14273722C2318yescomplemented
289#14273721C2318yescomplemented
290#14273720C2318yescomplemented
291#14273720C2318yescomplemented
292#14273719C2318yescomplemented
293#14273718C2318yescomplemented
294#14273717C2318yescomplemented
295#14273717C2318yescomplemented
296#14273715C2318yescomplemented
297#14273714C2318yescomplemented
298#14273714C2318yescomplemented
299#14273713C2318yescomplemented
300#14273713C2318yescomplemented
301#14273713C2318yescomplemented
302#14273713C2318yescomplemented
303#14273713C2318yescomplemented
304#14273713C2318yescomplemented
305#14273712C2318yescomplemented
306#14273711C2318yescomplemented
307#14273711C2318yescomplemented
308#14273711C2318yescomplemented
309#14273710C2318yescomplemented
310#14273710C2318yescomplemented
311#14273710C2318yescomplemented
312#14273709C2318yescomplemented
313#14273709C2318yescomplemented
314#14273709C2318yescomplemented
315#14273709C2318yescomplemented
316#14273709C2318yescomplemented
317#14273708C2318yescomplemented
318#14273708C2318yescomplemented
319#14273708C2318yescomplemented
320#14273708C2318yescomplemented
321#14273707C2318yescomplemented
322#14273707C2318yescomplemented
323#14273706C2318yes—
324#14273706C2318yescomplemented
325#14273706C2318yescomplemented
326#14273706C2318yescomplemented
327#14273706C2318yescomplemented
328#14273706C2318yescomplemented
329#14273705C2318yescomplemented
330#14273705C2318yescomplemented
331#14273705C2318yescomplemented
332#14273705C2318yescomplemented
333#14273705C2318yescomplemented
334#14273705C2318yescomplemented
335#14273704C2318yes—
336#14273704C2318yes—
337#14273704C2318yes—
338#14273704C2318yes—
339#14273704C2318yes—
340#14273704C2318yes—
341#14273704C2318yes—
342#14273704C2318yescomplemented
343#14273704C2318yescomplemented
344#14273704C2318yescomplemented
345#14273704C2318yescomplemented
346#14273704C2318yescomplemented
347#14273704C2318yescomplemented
348#14273704C2318yescomplemented
349#14273704C2318yescomplemented
350#14273704C2318yescomplemented
351#14273704C2318yescomplemented
352#14273704C2318yescomplemented
353#14273703C2318yescomplemented
354#14273703C2318yescomplemented
355#14273703C2318yescomplemented
356#14273701C2318yescomplemented
357#14273701C2318yescomplemented
358#14273701C2318yescomplemented
359#14273700C2318yescomplemented
360#14273700C2318yescomplemented
361#14273700C2318yescomplemented
362#14273700C2318yescomplemented
363#14273700C2318yescomplemented
364#14273699C2318yes—
365#14273699C2318yes—
366#14273699C2318yes—
367#14273699C2318yes—
368#14273699C2318yes—
369#14273699C2318yes—
370#14273699C2318yes—
371#14273699C2318yes—
372#14273699C2318yes—
373#14273699C2318yescomplemented
374#14273699C2318yescomplemented
375#14273699C2318yescomplemented
376#14273699C2318yescomplemented
377#14273699C2318yescomplemented
378#14273699C2318yescomplemented
379#14273699C2318yescomplemented
380#14273699C2318yescomplemented
381#14273698C2318yescomplemented
382#14273698C2318yescomplemented
383#14273698C2318yescomplemented
384#14273698C2318yescomplemented
385#14273697C2318yes—
386#14273696C2318yes—
387#14273696C2318yes—
388#14273695C2318yes—
389C4×Dic118C2318yescomplemented
390#14273692C2318yescomplemented
391D4×Dic59C2318yes—
392D4×Dic59C2318yes—
393D4×Dic59C2318yescomplemented
394D4×Dic59C2318yescomplemented
395C4×C22⋊D59C2318yes—
396C4×C22⋊D59C2318yescomplemented
397C4×C22⋊D59C2318yescomplemented
398(C22⋊D59)⋊C4C2318yes—
399(C22⋊D59)⋊C4C2318yes—
400(C22⋊D59)⋊C4C2318yescomplemented
401(C22⋊D59)⋊C4C2318yescomplemented
402(C22⋊D59)⋊C4C2318yescomplemented
403#14273683C2318yescomplemented
404C2×C4⋊Dic59C2311yescharacteristic
405C2×C4⋊Dic59C2311yescharacteristic
406C2×C4⋊Dic59C2311yescharacteristic
407C2×C4⋊Dic59C2311yescharacteristic
408C2×C4⋊Dic59C2311yescharacteristic
409C2×C4⋊Dic59C2311yescharacteristic
410C2×C4⋊Dic59C2311yescharacteristic
411C2×C4⋊Dic59C2311yescharacteristic
412C2×C4⋊Dic59C2311yescharacteristic
413C2×C4⋊Dic59C2311yescharacteristic
414C2×C4⋊Dic59C2318yescomplemented
415C2×Dic59⋊C4C2311yescharacteristic
416C2×Dic59⋊C4C2311yescharacteristic
417C2×Dic59⋊C4C2311yescharacteristic
418C2×Dic59⋊C4C2311yescharacteristic
419C2×Dic59⋊C4C2311yescharacteristic
420C2×Dic59⋊C4C2318yes—
421C2×Dic59⋊C4C2311yescharacteristic
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⋊C4C2311yescharacteristic
439C2×Dic59⋊C4C2311yescharacteristic
440C2×Dic59⋊C4C2318yescomplemented
441C2×Dic59⋊C4C2318yescomplemented
442C2×Dic59⋊C4C2318yescomplemented
443C4⋊C4×D59C2318yescomplemented
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⋊Dic59C2311yescharacteristic
461C2×C22⋊Dic59C2318yes—
462C2×C22⋊Dic59C2311yescharacteristic
463C2×C22⋊Dic59C2318yes—
464C2×C22⋊Dic59C2318yes—
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)⋊C4C2318yes—
474C2×(C2×D59)⋊C4C2311yescharacteristic
475C2×(C2×D59)⋊C4C2311yescharacteristic
476C2×(C2×D59)⋊C4C2311yescharacteristic
477C2×(C2×D59)⋊C4C2311yescharacteristic
478C2×(C2×D59)⋊C4C2311yescharacteristic
479C2×(C2×D59)⋊C4C2311yescharacteristic
480C2×(C2×D59)⋊C4C2311yescharacteristic
481C2×(C2×D59)⋊C4C2311yescharacteristic
482C22⋊C4×D59C2318yes—
483C22⋊C4×D59C2318yes—
484C2×C4×Dic59C2311yescharacteristic
485C2×C4×Dic59C2311yescharacteristic
486C2×C4×Dic59C2311yescharacteristic
487C2×C4×Dic59C2311yescharacteristic
488C2×C4×Dic59C2311yescharacteristic
489C25×C59C2311yescharacteristic
490C25×C59C2311yescharacteristic
491C2×#41×C59—44no—
492C2×#41×C59C2318yescomplemented
493C22×Q8×C59C2311yescharacteristic
494C22×D4×C59—44no—
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×C59C2318yes—
505C23×C4×C59C2311yescharacteristic
506C23×C4×C59C2311yescharacteristic
507C23×C4×C59C2311yescharacteristic
508C23×C4×C59C2311yescharacteristic
509C23×C4×C59C2311yescharacteristic
510C23×C4×C59C2311yescharacteristic
511#124×C59C2318yescomplemented
512#123×C59C2318yescomplemented
513#123×C59C2318yescomplemented
514C22⋊Q8×C59C2318yes—
515#121×C59C2318yescomplemented
516#121×C59C2318yescomplemented
517#121×C59C2318yescomplemented
518#120×C59C2318yes—
519#120×C59C2318yes—
520C4×D4×C59C2318yes—
521C4×D4×C59C2318yescomplemented
522C2×C4⋊C4×C59C2311yescharacteristic
523C2×C4⋊C4×C59C2311yescharacteristic
524C2×C4⋊C4×C59C2311yescharacteristic
525C2×C4⋊C4×C59C2311yescharacteristic
526C2×C22⋊C4×C59C2311yescharacteristic
527C2×C22⋊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×C59C2318yes—
535C2×C22⋊C4×C59C2311yescharacteristic
536C2×C22⋊C4×C59C2311yescharacteristic
537C2×C22⋊C4×C59C2311yescharacteristic
538C2×C22⋊C4×C59C2311yescharacteristic
539C2×C22⋊C4×C59C2318yes—
540C2×C42×C59C2311yescharacteristic
541C24×C59—24no—
542C24×C59—24no—
543C24×C59—24no—
544C24×C59—42no—
545C24×C59—42no—
546C24×C59—42no—
547C24×C59C2411yescharacteristic
548C24×C59C2411yescharacteristic
549C24×C59C2411yescharacteristic
550C24×C59C2411yescharacteristic
551C24×C59C2414yes—
552C24×C59C2411yescharacteristic
553C24×C59C2411yescharacteristic
554C24×C59C2414yes—
555C23×D59—24no—
556C23×D59—42no—
557C23×D59—42no—
558C23×D59C2411yescharacteristic
559C23×D59C2411yescharacteristic
560C23×D59C2411yescharacteristic
561C23×D59C2414yes—
562#41×C59—416no—
563C2×Q8×C59—42no—
564C2×Q8×C59C2414yes—
565C2×D4×C59—24no—
566C2×D4×C59—24no—
567C2×D4×C59—24no—
568C2×D4×C59—24no—
569C2×D4×C59—42no—
570C2×D4×C59—42no—
571C2×D4×C59—42no—
572C2×D4×C59—42no—
573C2×D4×C59—42no—
574C2×D4×C59—416no—
575C2×D4×C59C2414yes—
576C2×D4×C59C2414yes—
577C2×D4×C59C2414yes—
578C2×D4×C59C2414yes—
579C2×D4×C59C2414yes—
580C2×D4×C59C2414yes—
581C2×D4×C59C2414yes—
582C2×D4×C59C2414yes—
583C2×D4×C59C2414yes—
584C22×C4×C59—24no—
585C22×C4×C59—42no—
586C22×C4×C59—42no—
587C22×C4×C59—42no—
588C22×C4×C59—42no—
589C22×C4×C59—42no—
590C22×C4×C59C2411yescharacteristic
591C22×C4×C59C2411yescharacteristic
592C22×C4×C59C2411yescharacteristic
593C22×C4×C59C2411yescharacteristic
594C22×C4×C59C2411yescharacteristic
595C22×C4×C59C2411yescharacteristic
596C22×C4×C59C2411yescharacteristic
597C22×C4×C59C2411yescharacteristic
598C22×C4×C59C2414yes—
599C22×C4×C59C2411yescharacteristic
600C22×C4×C59C2414yes—
601C22×C4×C59C2414yes—
602C22×C4×C59C2414yes—
603C22×C4×C59C2414yes—
604C22×C4×C59C2414yes—
605C2×C22⋊D59—24no—
606C2×C22⋊D59—24no—
607C2×C22⋊D59—24no—
608C2×C22⋊D59—24no—
609C2×C22⋊D59—24no—
610C2×C22⋊D59—24no—
611C2×C22⋊D59—416no—
612C2×C22⋊D59—42no—
613C2×C22⋊D59—42no—
614C2×C22⋊D59—42no—
615C2×C22⋊D59—42no—
616C2×C22⋊D59—42no—
617C2×C22⋊D59—42no—
618C2×C22⋊D59—42no—
619C2×C22⋊D59—42no—
620C2×C22⋊D59—42no—
621C2×C22⋊D59—42no—
622C2×C22⋊D59—416no—
623C2×C22⋊D59C2414yes—
624C2×C22⋊D59C2414yes—
625C2×C22⋊D59C2414yes—
626C2×C22⋊D59C2414yes—
627C2×C22⋊D59C2414yes—
628C2×C22⋊D59C2414yes—
629C2×C22⋊D59C2414yes—
630C2×C22⋊D59C2414yes—
631C2×C22⋊D59C2414yes—
632C2×C22⋊D59C2414yes—
633C2×C22⋊D59C2414yes—
634C2×C22⋊D59C2414yes—
635C2×C22⋊D59C2414yes—
636C2×C22⋊D59C2414yes—
637C2×C22⋊D59C2414yes—
638C2×C22⋊D59C2414yes—
639C22×Dic59—24no—
640C22×Dic59—24no—
641C22×Dic59—24no—
642C22×Dic59—24no—
643C22×Dic59—24no—
644C22×Dic59—416no—
645C22×Dic59—42no—
646C22×Dic59—42no—
647C22×Dic59—42no—
648C22×Dic59—42no—
649C22×Dic59—42no—
650C22×Dic59—42no—
651C22×Dic59—42no—
652C22×Dic59—42no—
653C22×Dic59C2411yescharacteristic
654C22×Dic59C2411yescharacteristic
655C22×Dic59C2411yescharacteristic
656C22×Dic59C2411yescharacteristic
657C22×Dic59C2411yescharacteristic
658C22×Dic59C2411yescharacteristic
659C22×Dic59C2411yescharacteristic
660C22×Dic59C2411yescharacteristic
661C22×Dic59C2411yescharacteristic
662C22×Dic59C2411yescharacteristic
663C22×Dic59C2411yescharacteristic
664C22×Dic59C2411yescharacteristic
665C22×Dic59C2414yes—
666C22×Dic59C2414yes—
667C22×Dic59C2414yes—
668C22×Dic59C2414yes—
669C22×Dic59C2414yes—
670C22×Dic59C2414yes—
671C22×Dic59C2414yes—
672C22×Dic59C2414yes—
673C22×Dic59C2414yes—
674C22×Dic59C2414yes—
675C22×Dic59C2414yes—
676C22×Dic59C2414yes—
677C22×Dic59C2414yes—
678C22×Dic59C2411yescharacteristic
679#11745687—416no—
680#11745687—416no—
681#11745687—416no—
682#11745687—416no—
683#11745685—416no—
684#11745685—416no—
685C2×D236—42no—
686C2×D236—42no—
687C2×D236C2414yes—
688C2×D236C2414yes—
689C2×C4×D59—24no—
690C2×C4×D59—42no—
691C2×C4×D59—42no—
692C2×C4×D59—42no—
693C2×C4×D59—42no—
694C2×C4×D59—42no—
695C2×C4×D59—42no—
696C2×C4×D59C2414yes—
697C2×C4×D59C2414yes—
698C2×C4×D59C2414yes—
699C2×C4×D59C2414yes—
700C2×C4×D59C2414yes—
701C2×C4×D59C2414yes—
702C2×C4×D59C2414yes—
703C2×Dic118—24no—
704C2×Dic118—24no—
705C2×Dic118—416no—
706C2×Dic118—42no—
707C2×Dic118—42no—
708C2×Dic118—42no—
709C2×Dic118—42no—
710C2×Dic118—42no—
711C2×Dic118—42no—
712C2×Dic118C2414yes—
713C2×Dic118C2414yes—
714C2×Dic118C2414yes—
715C2×Dic118C2414yes—
716C2×Dic118C2414yes—
717C2×Dic118C2414yes—
718C2×Dic118C2414yes—
719C2×Dic118C2414yes—
720C4⋊C4×C59C2414yes—
721C4⋊C4×C59C2414yes—
722C4⋊C4×C59C2414yes—
723C4⋊C4×C59C2414yes—
724C22⋊C4×C59C2414yes—
725C22⋊C4×C59C2414yes—
726C22⋊C4×C59C2414yes—
727C22⋊C4×C59C2414yes—
728C22⋊C4×C59C2414yes—
729C22⋊C4×C59C2414yes—
730C22⋊C4×C59C2414yes—
731C22⋊C4×C59C2414yes—
732C22⋊C4×C59C2414yes—
733C22⋊C4×C59C2414yes—
734C22⋊C4×C59C2414yes—
735C22⋊C4×C59C2414yes—
736C42×C59C2414yes—
737C22⋊Dic59C2414yes—
738C22⋊Dic59C2414yes—
739C22⋊Dic59C2414yes—
740C22⋊Dic59C2414yes—
741C22⋊Dic59C2414yes—
742C22⋊Dic59C2414yes—
743C22⋊Dic59C2414yes—
744C22⋊Dic59C2414yes—
745C22⋊Dic59C2414yes—
746C22⋊Dic59C2414yes—
747C22⋊Dic59C2414yes—
748C22⋊Dic59C2414yes—
749C22⋊Dic59C2414yes—
750C22⋊Dic59C2414yes—
751C22⋊Dic59C2414yes—
752C22⋊Dic59C2414yes—
753C22⋊Dic59C2414yes—
754C22⋊Dic59C2414yes—
755(C2×D59)⋊C4C2414yes—
756(C2×D59)⋊C4C2414yes—
757(C2×D59)⋊C4C2414yes—
758(C2×D59)⋊C4C2414yes—
759(C2×D59)⋊C4C2414yes—
760(C2×D59)⋊C4C2414yes—
761(C2×D59)⋊C4C2414yes—
762(C2×D59)⋊C4C2414yes—
763(C2×D59)⋊C4C2414yes—
764(C2×D59)⋊C4C2414yes—
765(C2×D59)⋊C4C2414yes—
766(C2×D59)⋊C4C2414yes—
767(C2×D59)⋊C4C2414yes—
768(C2×D59)⋊C4C2414yes—
769(C2×D59)⋊C4C2414yes—
770(C2×D59)⋊C4C2414yes—
771C4⋊Dic59C2414yes—
772C4⋊Dic59C2414yes—
773C4⋊Dic59C2414yes—
774C4⋊Dic59C2414yes—
775C4⋊Dic59C2414yes—
776C4⋊Dic59C2414yes—
777C4⋊Dic59C2414yes—
778C4⋊Dic59C2414yes—
779C4⋊Dic59C2414yes—
780C4⋊Dic59C2414yes—
781Dic59⋊C4C2414yes—
782Dic59⋊C4C2414yes—
783Dic59⋊C4C2414yes—
784Dic59⋊C4C2414yes—
785Dic59⋊C4C2414yes—
786Dic59⋊C4C2414yes—
787Dic59⋊C4C2414yes—
788Dic59⋊C4C2414yes—
789Dic59⋊C4C2414yes—
790Dic59⋊C4C2414yes—
791Dic59⋊C4C2414yes—
792Dic59⋊C4C2414yes—
793Dic59⋊C4C2414yes—
794Dic59⋊C4C2414yes—
795Dic59⋊C4C2414yes—
796Dic59⋊C4C2414yes—
797Dic59⋊C4C2414yes—
798Dic59⋊C4C2414yes—
799Dic59⋊C4C2414yes—
800Dic59⋊C4C2414yes—
801Dic59⋊C4C2414yes—
802Dic59⋊C4C2414yes—
803Dic59⋊C4C2414yes—
804Dic59⋊C4C2414yes—
805C4×Dic59C2414yes—
806C4×Dic59C2414yes—
807C4×Dic59C2414yes—
808C4×Dic59C2414yes—
809C4×Dic59C2414yes—
810C23×C59—22no—
811C23×C59—22no—
812C23×C59—22no—
813C23×C59—22no—
814C23×C59—22no—
815C23×C59—22no—
816C23×C59—22no—
817C23×C59—22no—
818C23×C59—22no—
819C23×C59—22no—
820C23×C59—28no—
821C23×C59—22no—
822C23×C59—22no—
823C23×C59—22no—
824C23×C59—28no—
825C23×C59—22no—
826C23×C59—22no—
827C23×C59—22no—
828C23×C59—28no—
829C23×C59—44no—
830C23×C59—44no—
831C23×C59—44no—
832C23×C59—416no—
833C23×C59—88no—
834C23×C59H(5,𝔽2)14yes—
835C23×C592−1+414yes—
836C23×C59C2512yes—
837C23×C59C2512yes—
838C23×C59C2512yes—
839C23×C59C2512yes—
840C23×C59C2512yes—
841C23×C59C2512yes—
842C23×C59C2511yescharacteristic
843C22×D59—22no—
844C22×D59—22no—
845C22×D59—22no—
846C22×D59—22no—
847C22×D59—22no—
848C22×D59—22no—
849C22×D59—22no—
850C22×D59—22no—
851C22×D59—22no—
852C22×D59—28no—
853C22×D59—44no—
854C22×D59—44no—
855C22×D59—88no—
856C22×D59C2512yes—
857C22×D59C2512yes—
858C22×D59C2512yes—
859Q8×C59—44no—
860D4×C59—28no—
861D4×C59—28no—
862D4×C59—28no—
863D4×C59—28no—
864D4×C59—44no—
865D4×C59—44no—
866D4×C59—44no—
867D4×C59—44no—
868D4×C59—44no—
869C2×C4×C59—22no—
870C2×C4×C59—22no—
871C2×C4×C59—22no—
872C2×C4×C59—22no—
873C2×C4×C59—22no—
874C2×C4×C59—22no—
875C2×C4×C59—22no—
876C2×C4×C59—28no—
877C2×C4×C59—22no—
878C2×C4×C59—22no—
879C2×C4×C59—44no—
880C2×C4×C59—44no—
881C2×C4×C59—44no—
882C2×C4×C59—44no—
883C2×C4×C59—44no—
884C2×C4×C59C2512yes—
885C2×C4×C59C2512yes—
886C2×C4×C59C2512yes—
887C2×C4×C59C2512yes—
888C2×C4×C59C2512yes—
889C2×C4×C59C2512yes—
890C2×C4×C59C2512yes—
891C2×C4×C59C2512yes—
892C2×C4×C59C2512yes—
893C22⋊D59—28no—
894C22⋊D59—28no—
895C22⋊D59—28no—
896C22⋊D59—28no—
897C22⋊D59—28no—
898C22⋊D59—28no—
899C22⋊D59—44no—
900C22⋊D59—44no—
901C22⋊D59—44no—
902C22⋊D59—44no—
903C22⋊D59—44no—
904C22⋊D59—44no—
905C22⋊D59—44no—
906C22⋊D59—44no—
907C22⋊D59—44no—
908C22⋊D59—44no—
909C2×Dic59—22no—
910C2×Dic59—22no—
911C2×Dic59—22no—
912C2×Dic59—22no—
913C2×Dic59—22no—
914C2×Dic59—22no—
915C2×Dic59—22no—
916C2×Dic59—22no—
917C2×Dic59—22no—
918C2×Dic59—22no—
919C2×Dic59—28no—
920C2×Dic59—22no—
921C2×Dic59—22no—
922C2×Dic59—28no—
923C2×Dic59—28no—
924C2×Dic59—28no—
925C2×Dic59—28no—
926C2×Dic59—44no—
927C2×Dic59—44no—
928C2×Dic59—44no—
929C2×Dic59—44no—
930C2×Dic59—44no—
931C2×Dic59—44no—
932C2×Dic59—44no—
933C2×Dic59—44no—
934C2×Dic59H(5,𝔽2)14yes—
935C2×Dic59C2512yes—
936C2×Dic59C2512yes—
937C2×Dic59C2512yes—
938C2×Dic59C2512yes—
939C2×Dic59C2512yes—
940C2×Dic59C2512yes—
941C2×Dic59C2512yes—
942C2×Dic59C2512yes—
943C2×Dic59C2512yes—
944C2×Dic59C2512yes—
945C2×Dic59C2512yes—
946C2×Dic59C2512yes—
947C2×Dic59C2512yes—
948D236—44no—
949D236—44no—
950C4×D59—28no—
951C4×D59—44no—
952C4×D59—44no—
953C4×D59—44no—
954C4×D59—44no—
955C4×D59—44no—
956C4×D59—44no—
957Dic118—28no—
958Dic118—28no—
959Dic118—44no—
960Dic118—44no—
961Dic118—44no—
962Dic118—44no—
963Dic118—44no—
964Dic118—44no—
965C2×#3536—591nomaximal, Sylow
966C22×C59—22no—
967C22×C59—22no—
968C22×C59—22no—
969C22×C59—22no—
970C22×C59—28no—
971C22×C59—28no—
972C22×C59—22no—
973C22×C59—22no—
974C22×C59—22no—
975C22×C59—22no—
976C22×C59—22no—
977C22×C59—22no—
978C22×C59—22no—
979C22×C59—22no—
980C22×C59—22no—
981C22×C59—22no—
982C22×C59—22no—
983C22×C59—22no—
984C22×C59—416no—
985C22×C59—44no—
986C22×C59—44no—
987C22×C59—44no—
988C22×C59—44no—
989C22×C59—88no—
990C22×C59C2×H(5,𝔽2)12yes—
991C22×C59C2×H(5,𝔽2)14yes—
992C22×C59C2×H(5,𝔽2)12yes—
993C22×C59C2×2−1+414yes—
994C22×C59C2×2−1+412yes—
995C22×C59C2611yescharacteristic
996C2×D59—22no—
997C2×D59—22no—
998C2×D59—22no—
999C2×D59—22no—
1000C2×D59—22no—
1001C2×D59—22no—
1002C2×D59—22no—
1003C2×D59—22no—
1004C2×D59—22no—
1005C2×D59—44no—
1006C2×D59—44no—
1007C2×D59—44no—
1008C2×D59—88no—
1009C4×C59—22no—
1010C4×C59—22no—
1011C4×C59—22no—
1012C4×C59—22no—
1013C4×C59—22no—
1014C4×C59—22no—
1015C4×C59—22no—
1016C4×C59—22no—
1017C4×C59—22no—
1018Dic59—22no—
1019Dic59—22no—
1020Dic59—22no—
1021Dic59—22no—
1022Dic59—22no—
1023Dic59—22no—
1024Dic59—22no—
1025Dic59—22no—
1026Dic59—22no—
1027Dic59—22no—
1028Dic59—22no—
1029Dic59—22no—
1030Dic59C2×H(5,𝔽2)14yes—
1031#3536—5932no—
1032C2×#562—591no—
1033C2×#562—591no—
1034C2×#562—591no—
1035C2×#562—591no—
1036C2×#554—591no—
1037C2×#554—591no—
1038C2×#548—591no—
1039C2×#548—591no—
1040C2×#547—591no—
1041C2×#547—591no—
1042C2×#546—591no—
1043C2×#546—591no—
1044C2×#546—591no—
1045C2×#546—591no—
1046C2×#546—591no—
1047C2×#546D5911yescharacteristic, complemented
1048C2×#543—591no—
1049C2×#543—591no—
1050C2×#542—591no—
1051C2×#542—591no—
1052C2×#539—591no—
1053C2×#539—591no—
1054C2×#538—591no—
1055C2×#538—591no—
1056C2×#537—591no—
1057C2×#537—591no—
1058C2×#537—591no—
1059C2×#537—591no—
1060C2×#525—591no—
1061C22×C22⋊Q8—591no—
1062C22×#121—591no—
1063C2×C59—24no—
1064C2×C59—24no—
1065C2×C59—42no—
1066C2×C59—42no—
1067C2×C59—42no—
1068C2×C59—42no—
1069C2×C59#353614yescomplemented
1070C2×C59C22×H(5,𝔽2)11yescharacteristic
1071C2×C59C22×H(5,𝔽2)11yescharacteristic
1072C2×C59C22×2−1+411yescharacteristic
1073D59—42no—
1074D59—42no—
1075D59—42no—
1076C22×#41—591no—
1077C22×#41—591no—
1078C22×#41—591no—
1079C22×#41—591no—
1080C22×#41—591no—
1081C22×#41—591no—
1082C22×#41C2×D5911yescharacteristic, complemented
1083C23×Q8—591no—
1084C23×D4—591no—
1085C23×D4—591no—
1086C23×D4C2×D5911yescharacteristic
1087C24×C4—591no—
1088#562—5916no—
1089#562—5916no—
1090#562—5916no—
1091#562—5916no—
1092#554—5916no—
1093#554—5916no—
1094#548—5916no—
1095#548—5916no—
1096#547—5916no—
1097#547—5916no—
1098#546—5916no—
1099#546—5916no—
1100#546—5916no—
1101#546—5916no—
1102#546—5916no—
1103#546C2×D59116yescomplemented
1104#543—5916no—
1105#543—5916no—
1106#542—5916no—
1107#542—5916no—
1108#539—5916no—
1109#539—5916no—
1110#538—5916no—
1111#538—5916no—
1112#537—5916no—
1113#537—5916no—
1114#537—5916no—
1115#537—5916no—
1116C2×C4⋊Q8—591no—
1117C2×C4⋊Q8—591no—
1118C2×#126—591no—
1119C2×#126—591no—
1120C2×#126—591no—
1121C2×#126—591no—
1122C2×#125—591no—
1123C2×#125—591no—
1124C2×#125—591no—
1125C2×#125—591no—
1126C2×#124—591no—
1127C2×#124—591no—
1128C2×#124—591no—
1129C2×#124—591no—
1130C2×#124—591no—
1131C2×#124—591no—
1132C2×#124—591no—
1133C2×#124—591no—
1134C2×#124—591no—
1135C2×#124C2×D5911yescharacteristic, complemented
1136#525—5916no—
1137C2×#123—591no—
1138C2×#123—591no—
1139C2×#123—591no—
1140C2×#123—591no—
1141C2×#123—591no—
1142C2×#123—591no—
1143C2×#123—591no—
1144C2×#123—591no—
1145C2×#123—591no—
1146C2×#123—591no—
1147C2×#123—591no—
1148C2×#123—591no—
1149C2×#123—591no—
1150C2×#123—591no—
1151C2×#123—591no—
1152C2×#123—591no—
1153C2×#123C2×D5911yescharacteristic, complemented
1154C2×#123C2×D5911yescharacteristic, complemented
1155C2×C22⋊Q8—591no—
1156C2×C22⋊Q8—591no—
1157C2×C22⋊Q8—591no—
1158C2×C22⋊Q8—591no—
1159C2×C22⋊Q8—591no—
1160C2×C22⋊Q8—591no—
1161C2×C22⋊Q8—591no—
1162C2×C22⋊Q8—591no—
1163C2×C22⋊Q8—591no—
1164C2×C22⋊Q8—591no—
1165C2×C22⋊Q8—591no—
1166C2×C22⋊Q8—591no—
1167C2×C22⋊Q8—591no—
1168C2×C22⋊Q8—591no—
1169C2×C22⋊Q8—591no—
1170C2×C22⋊Q8—591no—
1171C2×C22⋊Q8—591no—
1172C2×C22⋊Q8—591no—
1173C2×C22⋊Q8—591no—
1174C2×C22⋊Q8—591no—
1175C2×C22⋊Q8—591no—
1176C2×C22⋊Q8—591no—
1177C2×C22⋊Q8—591no—
1178C2×C22⋊Q8—591no—
1179C2×C22⋊Q8—591no—
1180C2×C22⋊Q8—591no—
1181C2×C22⋊Q8—591no—
1182C2×C22⋊Q8—591no—
1183C2×C22⋊Q8—5916no—
1184C2×C22⋊Q8—591no—
1185C2×C22⋊Q8—591no—
1186C2×C22⋊Q8—591no—
1187C2×C22⋊Q8—591no—
1188C2×C22⋊Q8—591no—
1189C2×C22⋊Q8—591no—
1190C2×C22⋊Q8—591no—
1191C2×C22⋊Q8C2×D5911yescharacteristic
1192C2×#121—591no—
1193C2×#121—591no—
1194C2×#121—591no—
1195C2×#121—591no—
1196C2×#121—591no—
1197C2×#121—591no—
1198C2×#121—591no—
1199C2×#121—591no—
1200C2×#121—591no—
1201C2×#121—591no—
1202C2×#121—591no—
1203C2×#121—591no—
1204C2×#121—591no—
1205C2×#121—5916no—
1206C2×#121—591no—
1207C2×#121—591no—
1208C2×#121—591no—
1209C2×#121—591no—
1210C2×#121—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×#121C2×D5911yescharacteristic, complemented
1223C2×#121C2×D5911yescharacteristic, complemented
1224C2×#121C2×D5911yescharacteristic, complemented
1225C2×#120—591no—
1226C2×#120—591no—
1227C2×#120—591no—
1228C2×#120—591no—
1229C2×#120C2×D5911yescharacteristic
1230C2×#120C2×D5911yescharacteristic
1231C2×C4×Q8—591no—
1232C2×C4×Q8—591no—
1233C2×C4×D4—591no—
1234C2×C4×D4—591no—
1235C2×C4×D4—591no—
1236C2×C4×D4—591no—
1237C2×C4×D4—591no—
1238C2×C4×D4—591no—
1239C2×C4×D4—591no—
1240C2×C4×D4—591no—
1241C2×C4×D4—591no—
1242C2×C4×D4—591no—
1243C2×C4×D4—591no—
1244C2×C4×D4—591no—
1245C2×C4×D4C2×D5911yescharacteristic
1246C2×C4×D4C2×D5911yescharacteristic, complemented
1247C2×#117—591no—
1248C22×C4⋊C4—591no—
1249C22×C4⋊C4—591no—
1250C22×C4⋊C4—591no—
1251C22×C4⋊C4—591no—
1252C22×C4⋊C4—591no—
1253C22×C4⋊C4—591no—
1254C22×C22⋊C4—591no—
1255C22×C22⋊C4—591no—
1256C22×C22⋊C4—591no—
1257C22×C22⋊C4—591no—
1258C22×C22⋊C4—591no—
1259C22×C22⋊C4—591no—
1260C22×C22⋊C4C2×D5911yescharacteristic
1261C22×C22⋊C4C2×D5911yescharacteristic
1262C59C2×#353611yescharacteristic, complemented, Sylow
1263C25—591no—
1264C25C22×D5911yescharacteristic
1265C25C22×D5911yescharacteristic
1266C2×#41—44no—
1267C2×#41—598no—
1268C2×#41—598no—
1269C2×#41—598no—
1270C2×#41—598no—
1271C2×#41—598no—
1272C2×#41—598no—
1273C2×#41—2364no—
1274C2×#41—2364no—
1275C2×#41—2364no—
1276C2×#41—2364no—
1277C2×#41—2364no—
1278C2×#41—2364no—
1279C2×#41C22×D5918yescomplemented
1280C22×Q8—591no—
1281C22×Q8—591no—
1282C22×Q8—591no—
1283C22×Q8—591no—
1284C22×Q8—591no—
1285C22×Q8—591no—
1286C22×Q8—591no—
1287C22×Q8—591no—
1288C22×Q8—598no—
1289C22×Q8—2364no—
1290C22×Q8C22×D5911yescharacteristic
1291C22×D4—44no—
1292C22×D4—591no—
1293C22×D4—591no—
1294C22×D4—591no—
1295C22×D4—591no—
1296C22×D4—591no—
1297C22×D4—591no—
1298C22×D4—591no—
1299C22×D4—591no—
1300C22×D4—591no—
1301C22×D4—591no—
1302C22×D4—591no—
1303C22×D4—591no—
1304C22×D4—591no—
1305C22×D4—591no—
1306C22×D4—591no—
1307C22×D4—591no—
1308C22×D4—598no—
1309C22×D4—598no—
1310C22×D4—591no—
1311C22×D4—591no—
1312C22×D4—2364no—
1313C22×D4—2364no—
1314C22×D4C22×D5911yescharacteristic
1315C22×D4C22×D5911yescharacteristic
1316C22×D4C22×D5911yescharacteristic
1317C22×D4C22×D5911yescharacteristic
1318C22×D4C22×D5911yescharacteristic
1319C22×D4C22×D5911yescharacteristic
1320C22×D4C22×D5911yescharacteristic
1321C22×D4C22×D5911yescharacteristic
1322C22×D4C22×D5911yescharacteristic
1323C22×D4C22×D5918yes—
1324C23×C4—591no—
1325C23×C4—591no—
1326C23×C4—591no—
1327C23×C4—591no—
1328C23×C4—591no—
1329C23×C4—591no—
1330C23×C4—591no—
1331C23×C4—591no—
1332C23×C4—591no—
1333C23×C4—591no—
1334C23×C4—591no—
1335C23×C4—591no—
1336C23×C4—591no—
1337C23×C4—598no—
1338C23×C4—591no—
1339C23×C4—591no—
1340C23×C4—591no—
1341C23×C4—591no—
1342C23×C4—591no—
1343C23×C4—591no—
1344C23×C4—591no—
1345C23×C4—2364no—
1346C23×C4C22×D5911yescharacteristic
1347C23×C4C22×D5911yescharacteristic
1348C23×C4C22×D5911yescharacteristic
1349C23×C4C22×D5911yescharacteristic
1350C23×C4C22×D5911yescharacteristic
1351C23×C4C22×D5911yescharacteristic
1352C4⋊Q8—598no—
1353C4⋊Q8—598no—
1354#126—598no—
1355#126—598no—
1356#126—598no—
1357#126—598no—
1358#125—598no—
1359#125—598no—
1360#125—598no—
1361#125—598no—
1362#124—598no—
1363#124—598no—
1364#124—598no—
1365#124—598no—
1366#124—598no—
1367#124—598no—
1368#124—598no—
1369#124—598no—
1370#124—598no—
1371#124C22×D5918yescomplemented
1372#123—598no—
1373#123—598no—
1374#123—598no—
1375#123—598no—
1376#123—598no—
1377#123—598no—
1378#123—598no—
1379#123—598no—
1380#123—598no—
1381#123—598no—
1382#123—598no—
1383#123—598no—
1384#123—598no—
1385#123—598no—
1386#123—598no—
1387#123—598no—
1388#123C22×D5918yescomplemented
1389#123C22×D5918yescomplemented
1390C22⋊Q8—598no—
1391C22⋊Q8—598no—
1392C22⋊Q8—598no—
1393C22⋊Q8—598no—
1394C22⋊Q8—598no—
1395C22⋊Q8—598no—
1396C22⋊Q8—598no—
1397C22⋊Q8—598no—
1398C22⋊Q8—598no—
1399C22⋊Q8—598no—
1400C22⋊Q8—598no—
1401C22⋊Q8—598no—
1402C22⋊Q8—598no—
1403C22⋊Q8—598no—
1404C22⋊Q8—598no—
1405C22⋊Q8—598no—
1406C22⋊Q8—598no—
1407C22⋊Q8—598no—
1408C22⋊Q8—598no—
1409C22⋊Q8—598no—
1410C22⋊Q8—598no—
1411C22⋊Q8—598no—
1412C22⋊Q8—598no—
1413C22⋊Q8—598no—
1414C22⋊Q8—598no—
1415C22⋊Q8—598no—
1416C22⋊Q8—598no—
1417C22⋊Q8—598no—
1418C22⋊Q8—598no—
1419C22⋊Q8—598no—
1420C22⋊Q8—598no—
1421C22⋊Q8—598no—
1422C22⋊Q8—598no—
1423C22⋊Q8—598no—
1424C22⋊Q8—598no—
1425C22⋊Q8C22×D5918yes—
1426#121—598no—
1427#121—598no—
1428#121—598no—
1429#121—598no—
1430#121—598no—
1431#121—598no—
1432#121—598no—
1433#121—598no—
1434#121—598no—
1435#121—598no—
1436#121—598no—
1437#121—598no—
1438#121—598no—
1439#121—598no—
1440#121—598no—
1441#121—598no—
1442#121—598no—
1443#121—598no—
1444#121—598no—
1445#121—598no—
1446#121—598no—
1447#121—598no—
1448#121—598no—
1449#121—598no—
1450#121—598no—
1451#121—598no—
1452#121—598no—
1453#121—598no—
1454#121—598no—
1455#121C22×D5918yescomplemented
1456#121C22×D5918yescomplemented
1457#121C22×D5918yescomplemented
1458#120—598no—
1459#120—598no—
1460#120—598no—
1461#120—598no—
1462#120C22×D5918yes—
1463#120C22×D5918yes—
1464C4×Q8—598no—
1465C4×Q8—598no—
1466C4×D4—598no—
1467C4×D4—598no—
1468C4×D4—598no—
1469C4×D4—598no—
1470C4×D4—598no—
1471C4×D4—598no—
1472C4×D4—598no—
1473C4×D4—598no—
1474C4×D4—598no—
1475C4×D4—598no—
1476C4×D4—598no—
1477C4×D4—598no—
1478C4×D4C22×D5918yes—
1479C4×D4C22×D5918yescomplemented
1480#117—598no—
1481C2×C4⋊C4—591no—
1482C2×C4⋊C4—591no—
1483C2×C4⋊C4—591no—
1484C2×C4⋊C4—591no—
1485C2×C4⋊C4—591no—
1486C2×C4⋊C4—591no—
1487C2×C4⋊C4—598no—
1488C2×C4⋊C4—591no—
1489C2×C4⋊C4—591no—
1490C2×C4⋊C4—591no—
1491C2×C4⋊C4—591no—
1492C2×C4⋊C4—591no—
1493C2×C4⋊C4—591no—
1494C2×C4⋊C4—591no—
1495C2×C4⋊C4—591no—
1496C2×C4⋊C4—591no—
1497C2×C4⋊C4—591no—
1498C2×C4⋊C4—591no—
1499C2×C4⋊C4—591no—
1500C2×C4⋊C4—591no—
1501C2×C4⋊C4—598no—
1502C2×C4⋊C4—598no—
1503C2×C4⋊C4—598no—
1504C2×C4⋊C4—598no—
1505C2×C4⋊C4—591no—
1506C2×C4⋊C4—591no—
1507C2×C4⋊C4—591no—
1508C2×C4⋊C4—591no—
1509C2×C4⋊C4—591no—
1510C2×C4⋊C4—591no—
1511C2×C4⋊C4—591no—
1512C2×C4⋊C4—591no—
1513C2×C4⋊C4—591no—
1514C2×C4⋊C4—591no—
1515C2×C4⋊C4—591no—
1516C2×C4⋊C4—591no—
1517C2×C4⋊C4—591no—
1518C2×C4⋊C4—591no—
1519C2×C4⋊C4—591no—
1520C2×C4⋊C4—598no—
1521C2×C4⋊C4C22×D5911yescharacteristic
1522C2×C4⋊C4C22×D5911yescharacteristic
1523C2×C4⋊C4C22×D5911yescharacteristic
1524C2×C4⋊C4C22×D5911yescharacteristic
1525C2×C22⋊C4—591no—
1526C2×C22⋊C4—591no—
1527C2×C22⋊C4—591no—
1528C2×C22⋊C4—591no—
1529C2×C22⋊C4—591no—
1530C2×C22⋊C4—591no—
1531C2×C22⋊C4—591no—
1532C2×C22⋊C4—591no—
1533C2×C22⋊C4—591no—
1534C2×C22⋊C4—591no—
1535C2×C22⋊C4—591no—
1536C2×C22⋊C4—598no—
1537C2×C22⋊C4—598no—
1538C2×C22⋊C4—598no—
1539C2×C22⋊C4—591no—
1540C2×C22⋊C4—591no—
1541C2×C22⋊C4—591no—
1542C2×C22⋊C4—591no—
1543C2×C22⋊C4—591no—
1544C2×C22⋊C4—591no—
1545C2×C22⋊C4—591no—
1546C2×C22⋊C4—591no—
1547C2×C22⋊C4—591no—
1548C2×C22⋊C4—591no—
1549C2×C22⋊C4—591no—
1550C2×C22⋊C4—591no—
1551C2×C22⋊C4—591no—
1552C2×C22⋊C4—591no—
1553C2×C22⋊C4—591no—
1554C2×C22⋊C4—598no—
1555C2×C22⋊C4—591no—
1556C2×C22⋊C4—591no—
1557C2×C22⋊C4—591no—
1558C2×C22⋊C4—591no—
1559C2×C22⋊C4—591no—
1560C2×C22⋊C4—591no—
1561C2×C22⋊C4—591no—
1562C2×C22⋊C4—591no—
1563C2×C22⋊C4—598no—
1564C2×C22⋊C4—598no—
1565C2×C22⋊C4C22×D5911yescharacteristic
1566C2×C22⋊C4C22×D5911yescharacteristic
1567C2×C22⋊C4C22×D5911yescharacteristic
1568C2×C22⋊C4C22×D5911yescharacteristic
1569C2×C22⋊C4C22×D5911yescharacteristic
1570C2×C22⋊C4C22×D5911yescharacteristic
1571C2×C22⋊C4C22×D5911yescharacteristic
1572C2×C22⋊C4C22×D5918yes—
1573C2×C22⋊C4C22×D5918yes—
1574C2×C22⋊C4C22×D5911yescharacteristic
1575C2×C22⋊C4C22×D5911yescharacteristic
1576C2×C22⋊C4C22×D5911yescharacteristic
1577C2×C22⋊C4C22×D5911yescharacteristic
1578C2×C22⋊C4C22×D5911yescharacteristic
1579C2×C42—591no—
1580C2×C42—591no—
1581C2×C42—591no—
1582C2×C42—591no—
1583C2×C42—591no—
1584C2×C42C22×D5911yescharacteristic
1585C24—24no—
1586C24—24no—
1587C24—24no—
1588C24—42no—
1589C24—42no—
1590C24—42no—
1591C24—591no—
1592C24—591no—
1593C24—591no—
1594C24—594no—
1595C24—1184no—
1596C24—2362no—
1597C24—2362no—
1598C24C23×D5911yescharacteristic
1599C24C23×D5911yescharacteristic
1600C24C23×D5911yescharacteristic
1601C24C23×D5911yescharacteristic
1602C24C23×D5914yes—
1603C24C23×D5911yescharacteristic
1604C24C23×D5911yescharacteristic
1605C24C23×D5914yes—
1606#41—416no—
1607#41—23616no—
1608#41—23616no—
1609#41—23616no—
1610#41—23616no—
1611#41—23616no—
1612#41—23616no—
1613C2×Q8—42no—
1614C2×Q8—594no—
1615C2×Q8—594no—
1616C2×Q8—594no—
1617C2×Q8—594no—
1618C2×Q8—594no—
1619C2×Q8—594no—
1620C2×Q8—594no—
1621C2×Q8—594no—
1622C2×Q8—1184no—
1623C2×Q8—1184no—
1624C2×Q8—2362no—
1625C2×Q8—2362no—
1626C2×Q8—2362no—
1627C2×Q8—2362no—
1628C2×Q8—2362no—
1629C2×Q8—2362no—
1630C2×Q8—23616no—
1631C2×Q8C23×D5914yes—
1632C2×D4—24no—
1633C2×D4—24no—
1634C2×D4—24no—
1635C2×D4—24no—
1636C2×D4—42no—
1637C2×D4—42no—
1638C2×D4—42no—
1639C2×D4—42no—
1640C2×D4—42no—
1641C2×D4—416no—
1642C2×D4—594no—
1643C2×D4—594no—
1644C2×D4—594no—
1645C2×D4—594no—
1646C2×D4—594no—
1647C2×D4—594no—
1648C2×D4—594no—
1649C2×D4—594no—
1650C2×D4—594no—
1651C2×D4—594no—
1652C2×D4—594no—
1653C2×D4—594no—
1654C2×D4—594no—
1655C2×D4—594no—
1656C2×D4—594no—
1657C2×D4—594no—
1658C2×D4—594no—
1659C2×D4—594no—
1660C2×D4—1184no—
1661C2×D4—1184no—
1662C2×D4—1184no—
1663C2×D4—1184no—
1664C2×D4—1184no—
1665C2×D4—1184no—
1666C2×D4—2362no—
1667C2×D4—2362no—
1668C2×D4—23616no—
1669C2×D4—2362no—
1670C2×D4—2362no—
1671C2×D4—2362no—
1672C2×D4—2362no—
1673C2×D4—2362no—
1674C2×D4—2362no—
1675C2×D4—2362no—
1676C2×D4—2362no—
1677C2×D4—2362no—
1678C2×D4—2362no—
1679C2×D4—23616no—
1680C2×D4C23×D5914yes—
1681C2×D4C23×D5914yes—
1682C2×D4C23×D5914yes—
1683C2×D4C23×D5914yes—
1684C2×D4C23×D5914yes—
1685C2×D4C23×D5914yes—
1686C2×D4C23×D5914yes—
1687C2×D4C23×D5914yes—
1688C2×D4C23×D5914yes—
1689C22×C4—24no—
1690C22×C4—42no—
1691C22×C4—42no—
1692C22×C4—42no—
1693C22×C4—42no—
1694C22×C4—42no—
1695C22×C4—591no—
1696C22×C4—594no—
1697C22×C4—594no—
1698C22×C4—594no—
1699C22×C4—594no—
1700C22×C4—594no—
1701C22×C4—591no—
1702C22×C4—591no—
1703C22×C4—591no—
1704C22×C4—591no—
1705C22×C4—591no—
1706C22×C4—591no—
1707C22×C4—591no—
1708C22×C4—591no—
1709C22×C4—591no—
1710C22×C4—591no—
1711C22×C4—591no—
1712C22×C4—591no—
1713C22×C4—594no—
1714C22×C4—594no—
1715C22×C4—594no—
1716C22×C4—594no—
1717C22×C4—594no—
1718C22×C4—594no—
1719C22×C4—594no—
1720C22×C4—594no—
1721C22×C4—594no—
1722C22×C4—594no—
1723C22×C4—594no—
1724C22×C4—594no—
1725C22×C4—594no—
1726C22×C4—594no—
1727C22×C4—594no—
1728C22×C4—1184no—
1729C22×C4—1184no—
1730C22×C4—1184no—
1731C22×C4—1184no—
1732C22×C4—1184no—
1733C22×C4—1184no—
1734C22×C4—2362no—
1735C22×C4—2362no—
1736C22×C4—2362no—
1737C22×C4—2362no—
1738C22×C4—2362no—
1739C22×C4—2362no—
1740C22×C4—23616no—
1741C22×C4—2362no—
1742C22×C4—2362no—
1743C22×C4—2362no—
1744C22×C4—2362no—
1745C22×C4—2362no—
1746C22×C4—2362no—
1747C22×C4—2362no—
1748C22×C4—2362no—
1749C22×C4C23×D5914yes—
1750C22×C4C23×D5911yescharacteristic
1751C22×C4C23×D5911yescharacteristic
1752C22×C4C23×D5911yescharacteristic
1753C22×C4C23×D5911yescharacteristic
1754C22×C4C23×D5911yescharacteristic
1755C22×C4C23×D5911yescharacteristic
1756C22×C4C23×D5911yescharacteristic
1757C22×C4C23×D5911yescharacteristic
1758C22×C4C23×D5911yescharacteristic
1759C22×C4C23×D5914yes—
1760C22×C4C23×D5914yes—
1761C22×C4C23×D5914yes—
1762C22×C4C23×D5914yes—
1763C22×C4C23×D5914yes—
1764C4⋊C4—594no—
1765C4⋊C4—594no—
1766C4⋊C4—594no—
1767C4⋊C4—594no—
1768C4⋊C4—594no—
1769C4⋊C4—594no—
1770C4⋊C4—594no—
1771C4⋊C4—594no—
1772C4⋊C4—594no—
1773C4⋊C4—594no—
1774C4⋊C4—594no—
1775C4⋊C4—594no—
1776C4⋊C4—594no—
1777C4⋊C4—594no—
1778C4⋊C4—594no—
1779C4⋊C4—594no—
1780C4⋊C4—594no—
1781C4⋊C4—594no—
1782C4⋊C4—594no—
1783C4⋊C4—594no—
1784C4⋊C4—594no—
1785C4⋊C4—594no—
1786C4⋊C4—594no—
1787C4⋊C4—594no—
1788C4⋊C4—594no—
1789C4⋊C4—594no—
1790C4⋊C4—594no—
1791C4⋊C4—594no—
1792C4⋊C4—594no—
1793C4⋊C4—594no—
1794C4⋊C4—594no—
1795C4⋊C4—594no—
1796C4⋊C4—594no—
1797C4⋊C4—594no—
1798C4⋊C4C23×D5914yes—
1799C4⋊C4C23×D5914yes—
1800C4⋊C4C23×D5914yes—
1801C4⋊C4C23×D5914yes—
1802C22⋊C4—594no—
1803C22⋊C4—594no—
1804C22⋊C4—594no—
1805C22⋊C4—594no—
1806C22⋊C4—594no—
1807C22⋊C4—594no—
1808C22⋊C4—594no—
1809C22⋊C4—594no—
1810C22⋊C4—594no—
1811C22⋊C4—594no—
1812C22⋊C4—594no—
1813C22⋊C4—594no—
1814C22⋊C4—594no—
1815C22⋊C4—594no—
1816C22⋊C4—594no—
1817C22⋊C4—594no—
1818C22⋊C4—594no—
1819C22⋊C4—594no—
1820C22⋊C4—594no—
1821C22⋊C4—594no—
1822C22⋊C4—594no—
1823C22⋊C4—594no—
1824C22⋊C4—594no—
1825C22⋊C4—594no—
1826C22⋊C4—594no—
1827C22⋊C4—594no—
1828C22⋊C4—594no—
1829C22⋊C4—594no—
1830C22⋊C4—594no—
1831C22⋊C4—594no—
1832C22⋊C4—594no—
1833C22⋊C4—594no—
1834C22⋊C4—594no—
1835C22⋊C4—594no—
1836C22⋊C4C23×D5914yes—
1837C22⋊C4C23×D5914yes—
1838C22⋊C4C23×D5914yes—
1839C22⋊C4C23×D5914yes—
1840C22⋊C4C23×D5914yes—
1841C22⋊C4C23×D5914yes—
1842C22⋊C4C23×D5914yes—
1843C22⋊C4C23×D5914yes—
1844C22⋊C4C23×D5914yes—
1845C22⋊C4C23×D5914yes—
1846C22⋊C4C23×D5914yes—
1847C22⋊C4C23×D5914yes—
1848C42—594no—
1849C42—594no—
1850C42—594no—
1851C42—594no—
1852C42—594no—
1853C42C23×D5914yes—
1854C23—22no—
1855C23—22no—
1856C23—22no—
1857C23—22no—
1858C23—22no—
1859C23—22no—
1860C23—22no—
1861C23—22no—
1862C23—22no—
1863C23—22no—
1864C23—22no—
1865C23—28no—
1866C23—22no—
1867C23—22no—
1868C23—28no—
1869C23—22no—
1870C23—22no—
1871C23—22no—
1872C23—28no—
1873C23—44no—
1874C23—44no—
1875C23—44no—
1876C23—416no—
1877C23—88no—
1878C23—592no—
1879C23—592no—
1880C23—592no—
1881C23—1188no—
1882C23—1182no—
1883C23—1182no—
1884C23—1182no—
1885C23—1182no—
1886C23—1182no—
1887C23—1182no—
1888C23—1182no—
1889C23—1182no—
1890C23—1182no—
1891C23—4728no—
1892C23—2364no—
1893C23—2364no—
1894C23#1427377214yes—
1895C23#1427377414yes—
1896C23C24×D5912yes—
1897C23C24×D5912yes—
1898C23C24×D5912yes—
1899C23C24×D5912yes—
1900C23C24×D5912yes—
1901C23C24×D5912yes—
1902C23C24×D5911yescharacteristic
1903Q8—44no—
1904Q8—1188no—
1905Q8—1188no—
1906Q8—2364no—
1907Q8—2364no—
1908Q8—2364no—
1909Q8—2364no—
1910Q8—2364no—
1911Q8—2364no—
1912D4—28no—
1913D4—28no—
1914D4—28no—
1915D4—28no—
1916D4—44no—
1917D4—44no—
1918D4—44no—
1919D4—44no—
1920D4—44no—
1921D4—1188no—
1922D4—1188no—
1923D4—1188no—
1924D4—1188no—
1925D4—1188no—
1926D4—1188no—
1927D4—2364no—
1928D4—2364no—
1929D4—2364no—
1930D4—2364no—
1931D4—2364no—
1932D4—2364no—
1933D4—2364no—
1934D4—2364no—
1935D4—2364no—
1936D4—2364no—
1937D4—2364no—
1938D4—2364no—
1939C2×C4—22no—
1940C2×C4—22no—
1941C2×C4—22no—
1942C2×C4—22no—
1943C2×C4—22no—
1944C2×C4—28no—
1945C2×C4—22no—
1946C2×C4—22no—
1947C2×C4—22no—
1948C2×C4—22no—
1949C2×C4—44no—
1950C2×C4—44no—
1951C2×C4—44no—
1952C2×C4—44no—
1953C2×C4—44no—
1954C2×C4—594no—
1955C2×C4—592no—
1956C2×C4—592no—
1957C2×C4—592no—
1958C2×C4—592no—
1959C2×C4—592no—
1960C2×C4—592no—
1961C2×C4—592no—
1962C2×C4—592no—
1963C2×C4—592no—
1964C2×C4—592no—
1965C2×C4—592no—
1966C2×C4—592no—
1967C2×C4—592no—
1968C2×C4—1188no—
1969C2×C4—1188no—
1970C2×C4—1188no—
1971C2×C4—1188no—
1972C2×C4—1188no—
1973C2×C4—1182no—
1974C2×C4—1182no—
1975C2×C4—1182no—
1976C2×C4—1182no—
1977C2×C4—1182no—
1978C2×C4—1182no—
1979C2×C4—1182no—
1980C2×C4—1182no—
1981C2×C4—1188no—
1982C2×C4—1182no—
1983C2×C4—1182no—
1984C2×C4—1182no—
1985C2×C4—1182no—
1986C2×C4—2364no—
1987C2×C4—2364no—
1988C2×C4—2364no—
1989C2×C4—2364no—
1990C2×C4—2364no—
1991C2×C4—2364no—
1992C2×C4—2364no—
1993C2×C4—2364no—
1994C2×C4—2364no—
1995C2×C4—2364no—
1996C2×C4—2364no—
1997C2×C4—2364no—
1998C2×C4—2364no—
1999C2×C4—2364no—
2000C2×C4C24×D5912yes—
2001C2×C4C24×D5912yes—
2002C2×C4C24×D5912yes—
2003C2×C4C24×D5912yes—
2004C2×C4C24×D5912yes—
2005C2×C4C24×D5912yes—
2006C2×C4C24×D5912yes—
2007C2×C4C24×D5912yes—
2008C2×C4C24×D5912yes—
2009C22—28no—
2010C22—28no—
2011C22—22no—
2012C22—22no—
2013C22—22no—
2014C22—22no—
2015C22—22no—
2016C22—22no—
2017C22—22no—
2018C22—22no—
2019C22—22no—
2020C22—22no—
2021C22—22no—
2022C22—22no—
2023C22—22no—
2024C22—22no—
2025C22—22no—
2026C22—22no—
2027C22—416no—
2028C22—44no—
2029C22—44no—
2030C22—44no—
2031C22—44no—
2032C22—88no—
2033C22—1182no—
2034C22—1182no—
2035C22—1182no—
2036C22—1182no—
2037C22—1182no—
2038C22—1182no—
2039C22—1182no—
2040C22—1182no—
2041C22—1182no—
2042C22—4728no—
2043C22—2364no—
2044C22—2364no—
2045C22—2364no—
2046C22H(5,𝔽2)×D5912yes—
2047C22C2×#1427377214yes—
2048C22C2×#1427377212yes—
2049C22C2×#1427377414yes—
2050C22C2×#1427377412yes—
2051C22C25×D5911yescharacteristic
2052C4—22no—
2053C4—22no—
2054C4—22no—
2055C4—22no—
2056C4—22no—
2057C4—22no—
2058C4—22no—
2059C4—22no—
2060C4—22no—
2061C4—594no—
2062C4—1182no—
2063C4—1182no—
2064C4—1182no—
2065C4—1182no—
2066C4—1182no—
2067C4—1182no—
2068C4—1182no—
2069C4—1182no—
2070C4—1182no—
2071C4—1182no—
2072C4—1182no—
2073C4—1182no—
2074C2—24no—
2075C2—24no—
2076C2—42no—
2077C2—42no—
2078C2—42no—
2079C2—42no—
2080C2—2362no—
2081C2—2362no—
2082C2—2362no—
2083C2#2143831114yesdirect product factor
2084C2C2×H(5,𝔽2)×D5911yescharacteristic
2085C2C22×#1427377211yescharacteristic
2086C2C22×#1427377411yescharacteristic
subgroupG/H
centerC23C24×D59
commutator, cosocleC22×C59C26
FrattiniC22C25×D59
FittingC2×C59×#546C2
socleC23×C59C25
hypercenterC2×#546D59
hypocenterC59C2×#3536
LCSG ▷ C22×C59 ▷ C59
UCSC1 ◁ C23 ◁ C2×#546

Complements

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

NH ≅ G/Ntype
1. #21438311C2direct (N × H)
2. C2×#16838149C2semidirect
3. C2×#16838147C2semidirect
4. C2×#16838147C2semidirect
5. C2×#16838146C2semidirect
6. C2×#16838111C2semidirect
7. C2×#16838106C2semidirect
8. C2×#16838061C2semidirect
9. C2×#16838058C2semidirect
10. C2×#16838051C2semidirect
11. C2×#16838050C2semidirect
12. C2×#16838046C2semidirect
13. C2×#16838042C2semidirect
14. C2×#16838042C2semidirect
15. C2×#16838039C2semidirect
16. C2×#16838039C2semidirect
17. C2×#16838028C2semidirect
18. C2×#16838027C2semidirect
19. C2×#16838020C2semidirect
20. C2×#16838016C2semidirect
21. C2×#16837996C2semidirect
22. C2×#16837994C2semidirect
23. C2×#16837987C2semidirect
24. C2×#16837985C2semidirect
25. C2×#16837981C2semidirect
26. C2×#16837980C2semidirect
27. C2×#16837979C2semidirect
28. C2×#16837979C2semidirect
29. C2×#16837908C2semidirect
30. C22×#14273704C2semidirect
31. C22×#14273699C2semidirect
32. C2×C59×#546C2semidirect
33. C22×#11745685C22semidirect
34. C22×#11745685C22semidirect
35. C22×#11745687C22semidirect
36. C22×#11745687C22semidirect
37. C22×#11745687C22semidirect
38. C22×#11745687C22semidirect
39. C23×Dic118C22semidirect
43. #16838149C22semidirect
44. #16838147C22semidirect
45. #16838147C22semidirect
46. #16838146C22semidirect
47. #16838111C22semidirect
48. #16838106C22semidirect
49. #16838061C22semidirect
50. #16838058C22semidirect
51. #16838051C22semidirect
52. #16838050C22semidirect
53. #16838046C22semidirect
54. #16838042C22semidirect
55. #16838042C22semidirect
56. #16838039C22semidirect
57. #16838039C22semidirect
58. #16838028C22semidirect
59. #16838027C22semidirect
60. #16838020C22semidirect
61. #16838016C22semidirect
62. #16837996C22semidirect
63. #16837994C22semidirect
64. #16837987C22semidirect
65. #16837985C22semidirect
66. #16837981C22semidirect
67. #16837980C22semidirect
68. #16837979C22semidirect
69. #16837979C22semidirect
70. C2×#14273726C22semidirect
71. C2×#14273725C22semidirect
72. C2×#14273722C22semidirect
73. C2×#14273721C22semidirect
74. C2×#14273720C22semidirect
75. C2×#14273720C22semidirect
76. C2×#14273719C22semidirect
77. C2×#14273718C22semidirect
78. C2×#14273717C22semidirect
79. C2×#14273717C22semidirect
80. C2×#14273715C22semidirect
81. C2×#14273714C22semidirect
82. C2×#14273714C22semidirect
83. C2×#14273713C22semidirect
84. C2×#14273713C22semidirect
85. C2×#14273713C22semidirect
86. C2×#14273713C22semidirect
87. C2×#14273713C22semidirect
88. C2×#14273713C22semidirect
89. #16837908C22semidirect
90. C2×#14273712C22semidirect
91. C2×#14273711C22semidirect
92. C2×#14273711C22semidirect
93. C2×#14273711C22semidirect
94. C2×#14273710C22semidirect
95. C2×#14273710C22semidirect
96. C2×#14273710C22semidirect
97. C2×#14273709C22semidirect
98. C2×#14273709C22semidirect
99. C2×#14273709C22semidirect
100. C2×#14273709C22semidirect
101. C2×#14273709C22semidirect
102. C2×#14273708C22semidirect
103. C2×#14273708C22semidirect
104. C2×#14273708C22semidirect
105. C2×#14273708C22semidirect
106. C2×#14273707C22semidirect
107. C2×#14273707C22semidirect
109. C2×#14273706C22semidirect
110. C2×#14273706C22semidirect
111. C2×#14273706C22semidirect
112. C2×#14273706C22semidirect
113. C2×#14273706C22semidirect
114. C2×#14273705C22semidirect
115. C2×#14273705C22semidirect
116. C2×#14273705C22semidirect
117. C2×#14273705C22semidirect
118. C2×#14273705C22semidirect
119. C2×#14273705C22semidirect
127. C2×#14273704C22semidirect
128. C2×#14273704C22semidirect
129. C2×#14273704C22semidirect
130. C2×#14273704C22semidirect
131. C2×#14273704C22semidirect
132. C2×#14273704C22semidirect
133. C2×#14273704C22semidirect
134. C2×#14273704C22semidirect
135. C2×#14273704C22semidirect
136. C2×#14273704C22semidirect
137. C2×#14273704C22semidirect
138. C2×#14273704C22semidirect
139. C2×#14273703C22semidirect
140. C2×#14273703C22semidirect
141. C2×#14273703C22semidirect
142. C2×#14273701C22semidirect
143. C2×#14273701C22semidirect
144. C2×#14273701C22semidirect
145. C2×#14273700C22semidirect
146. C2×#14273700C22semidirect
147. C2×#14273700C22semidirect
148. C2×#14273700C22semidirect
149. C2×#14273700C22semidirect
159. C2×#14273699C22semidirect
160. C2×#14273699C22semidirect
161. C2×#14273699C22semidirect
162. C2×#14273699C22semidirect
163. C2×#14273699C22semidirect
164. C2×#14273699C22semidirect
165. C2×#14273699C22semidirect
166. C2×#14273699C22semidirect
167. C2×#14273699C22semidirect
168. C2×#14273698C22semidirect
169. C2×#14273698C22semidirect
170. C2×#14273698C22semidirect
171. C2×#14273698C22semidirect
176. C2×C4×Dic118C22semidirect
177. C2×#14273692C22semidirect
180. C2×D4×Dic59C22semidirect
181. C2×D4×Dic59C22semidirect
183. C2×C4×C22⋊D59C22semidirect
184. C2×C4×C22⋊D59C22semidirect
187. C2×(C22⋊D59)⋊C4C22semidirect
188. C2×(C22⋊D59)⋊C4C22semidirect
189. C2×(C22⋊D59)⋊C4C22semidirect
190. C2×#14273683C22semidirect
191. C22×C4⋊Dic59C22semidirect
193. C22×Dic59⋊C4C22semidirect
194. C22×Dic59⋊C4C22semidirect
195. C22×Dic59⋊C4C22semidirect
196. C2×C4⋊C4×D59C22semidirect
203. C22×#41×C59C22semidirect
205. C59×#546C22semidirect
206. C2×#124×C59C22semidirect
207. C2×#123×C59C22semidirect
208. C2×#123×C59C22semidirect
210. C2×#121×C59C22semidirect
211. C2×#121×C59C22semidirect
212. C2×#121×C59C22semidirect
216. C2×C4×D4×C59C22semidirect
222. C2×#11745685C23semidirect
223. C2×#11745685C23semidirect
228. C2×#11745687C23semidirect
229. C2×#11745687C23semidirect
230. C2×#11745687C23semidirect
231. C2×#11745687C23semidirect
241. C22×Dic118C23semidirect
286. #14273726C23semidirect
287. #14273725C23semidirect
288. #14273722C23semidirect
289. #14273721C23semidirect
290. #14273720C23semidirect
291. #14273720C23semidirect
292. #14273719C23semidirect
293. #14273718C23semidirect
294. #14273717C23semidirect
295. #14273717C23semidirect
296. #14273715C23semidirect
297. #14273714C23semidirect
298. #14273714C23semidirect
299. #14273713C23semidirect
300. #14273713C23semidirect
301. #14273713C23semidirect
302. #14273713C23semidirect
303. #14273713C23semidirect
304. #14273713C23semidirect
305. #14273712C23semidirect
306. #14273711C23semidirect
307. #14273711C23semidirect
308. #14273711C23semidirect
309. #14273710C23semidirect
310. #14273710C23semidirect
311. #14273710C23semidirect
312. #14273709C23semidirect
313. #14273709C23semidirect
314. #14273709C23semidirect
315. #14273709C23semidirect
316. #14273709C23semidirect
317. #14273708C23semidirect
318. #14273708C23semidirect
319. #14273708C23semidirect
320. #14273708C23semidirect
321. #14273707C23semidirect
322. #14273707C23semidirect
324. #14273706C23semidirect
325. #14273706C23semidirect
326. #14273706C23semidirect
327. #14273706C23semidirect
328. #14273706C23semidirect
329. #14273705C23semidirect
330. #14273705C23semidirect
331. #14273705C23semidirect
332. #14273705C23semidirect
333. #14273705C23semidirect
334. #14273705C23semidirect
342. #14273704C23semidirect
343. #14273704C23semidirect
344. #14273704C23semidirect
345. #14273704C23semidirect
346. #14273704C23semidirect
347. #14273704C23semidirect
348. #14273704C23semidirect
349. #14273704C23semidirect
350. #14273704C23semidirect
351. #14273704C23semidirect
352. #14273704C23semidirect
353. #14273703C23semidirect
354. #14273703C23semidirect
355. #14273703C23semidirect
356. #14273701C23semidirect
357. #14273701C23semidirect
358. #14273701C23semidirect
359. #14273700C23semidirect
360. #14273700C23semidirect
361. #14273700C23semidirect
362. #14273700C23semidirect
363. #14273700C23semidirect
373. #14273699C23semidirect
374. #14273699C23semidirect
375. #14273699C23semidirect
376. #14273699C23semidirect
377. #14273699C23semidirect
378. #14273699C23semidirect
379. #14273699C23semidirect
380. #14273699C23semidirect
381. #14273698C23semidirect
382. #14273698C23semidirect
383. #14273698C23semidirect
384. #14273698C23semidirect
389. C4×Dic118C23semidirect
390. #14273692C23semidirect
393. D4×Dic59C23semidirect
394. D4×Dic59C23semidirect
396. C4×C22⋊D59C23semidirect
397. C4×C22⋊D59C23semidirect
400. (C22⋊D59)⋊C4C23semidirect
401. (C22⋊D59)⋊C4C23semidirect
402. (C22⋊D59)⋊C4C23semidirect
403. #14273683C23semidirect
414. C2×C4⋊Dic59C23semidirect
440. C2×Dic59⋊C4C23semidirect
441. C2×Dic59⋊C4C23semidirect
442. C2×Dic59⋊C4C23semidirect
443. C4⋊C4×D59C23semidirect
492. C2×#41×C59C23semidirect
511. #124×C59C23semidirect
512. #123×C59C23semidirect
513. #123×C59C23semidirect
515. #121×C59C23semidirect
516. #121×C59C23semidirect
517. #121×C59C23semidirect
521. C4×D4×C59C23semidirect
1047. C2×#546D59semidirect
1069. C2×C59#3536semidirect
1082. C22×#41C2×D59semidirect
1103. #546C2×D59semidirect
1135. C2×#124C2×D59semidirect
1153. C2×#123C2×D59semidirect
1154. C2×#123C2×D59semidirect
1222. C2×#121C2×D59semidirect
1223. C2×#121C2×D59semidirect
1224. C2×#121C2×D59semidirect
1246. C2×C4×D4C2×D59semidirect
1262. C59C2×#3536semidirect
1279. C2×#41C22×D59semidirect
1371. #124C22×D59semidirect
1388. #123C22×D59semidirect
1389. #123C22×D59semidirect
1455. #121C22×D59semidirect
1456. #121C22×D59semidirect
1457. #121C22×D59semidirect
1479. C4×D4C22×D59semidirect
2083. C2#21438311direct (N × H)

Maximal subgroups

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

subgroupindex
#214383112
C2×#168381492
C2×#168381472
C2×#168381462
C2×#168381112
C2×#168381062
C2×#168380612
C2×#168380582
C2×#168380512
C2×#168380502
C2×#168380462
C2×#168380422
C2×#168380392
C2×#168380282
C2×#168380272
C2×#168380202
C2×#168380162
C2×#168379962
C2×#168379942
C2×#168379872
C2×#168379852
C2×#168379812
C2×#168379802
C2×#168379792
C2×#168379082
C22×#142737042
C22×#142736992
C2×C59×#5462
C2×#353659