Finite Group Databasebeta

← C2×#21438403 #29495815

Subgroups — C2×#21438403 #29495815

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#21438403C2132yesmaximal, direct product factor
2C2×#16838150C211yesmaximal, characteristic, complemented
3C2×#16838147C211yesmaximal, characteristic, complemented
4C2×#16838142C211yesmaximal, characteristic, complemented
5C2×#16838140C211yesmaximal, characteristic, complemented
6C2×#16838115C211yesmaximal, characteristic, complemented
7C2×#16838101C211yesmaximal, characteristic, complemented
8C2×#16838084C211yesmaximal, characteristic, complemented
9C2×#16838080C211yesmaximal, characteristic, complemented
10C2×#16838076C211yesmaximal, characteristic, complemented
11C2×#16838070C211yesmaximal, characteristic, complemented
12C2×#16838050C211yesmaximal, characteristic, complemented
13C2×#16838048C211yesmaximal, characteristic, complemented
14C2×#16838044C211yesmaximal, characteristic, complemented
15C2×#16838041C211yesmaximal, characteristic, complemented
16C2×#16838041C211yesmaximal, characteristic, complemented
17C2×#16838036C211yesmaximal, characteristic, complemented
18C2×#16838020C211yesmaximal, characteristic, complemented
19C2×#16838004C211yesmaximal, characteristic, complemented
20C2×#16838002C211yesmaximal, characteristic, complemented
21C2×#16837985C211yesmaximal, characteristic, complemented
22C2×#16837984C211yesmaximal, characteristic, complemented
23C2×#16837979C211yesmaximal, characteristic, complemented
24C2×#16837968C211yesmaximal, characteristic, complemented
25C2×#16837965C211yesmaximal, characteristic, complemented
26C2×#16837965C211yesmaximal, characteristic, complemented
27C2×#16837963C211yesmaximal, characteristic, complemented
28C2×#16837960C211yesmaximal, characteristic, complemented
29C2×#16837911C211yesmaximal, characteristic, complemented
30C2×#16837910C211yesmaximal, characteristic, complemented
31C2×#121×D59C211yesmaximal, characteristic, complemented
32C2×C59×#540C211yesmaximal, characteristic, complemented
33C22×#11745685C2211yescharacteristic, complemented
34C22×#11745685C2211yescharacteristic, complemented
35C22×#11745687C2211yescharacteristic, complemented
36C22×#11745687C2211yescharacteristic, complemented
37C22×#11745687C2211yescharacteristic, complemented
38C23×D236C2211yescharacteristic
39C22×D4×D59C2211yescharacteristic
40C22×D4×D59C2211yescharacteristic
41C22×D4×D59C2211yescharacteristic, complemented
42C22×D4×D59C2211yescharacteristic, complemented
43C22×D4×D59C2211yescharacteristic, complemented
44C23×C4×D59C2211yescharacteristic, complemented
45#16838150C22116yescomplemented
46#16838147C22116yescomplemented
47#16838142C22116yescomplemented
48#16838140C22116yescomplemented
49#16838115C22116yescomplemented
50#16838101C22116yescomplemented
51#16838084C22116yescomplemented
52#16838080C22116yescomplemented
53#16838076C22116yescomplemented
54#16838070C22116yescomplemented
55#16838050C22116yescomplemented
56#16838048C22116yescomplemented
57#16838044C22116yescomplemented
58#16838041C22116yescomplemented
59#16838041C22116yescomplemented
60#16838036C22116yescomplemented
61#16838020C22116yescomplemented
62#16838004C22116yescomplemented
63#16838002C22116yescomplemented
64#16837985C22116yescomplemented
65#16837984C22116yescomplemented
66#16837979C22116yescomplemented
67#16837968C22116yescomplemented
68#16837965C22116yescomplemented
69#16837965C22116yescomplemented
70#16837963C22116yescomplemented
71#16837960C22116yescomplemented
72C2×#14273726C2211yescharacteristic, complemented
73C2×#14273723C2211yescharacteristic, complemented
74C2×#14273723C2211yescharacteristic, complemented
75C2×#14273723C2211yescharacteristic, complemented
76C2×#14273723C2211yescharacteristic, complemented
77C2×#14273722C2211yescharacteristic, complemented
78C2×#14273722C2211yescharacteristic, complemented
79C2×#14273722C2211yescharacteristic, complemented
80C2×#14273721C2211yescharacteristic, complemented
81C2×#14273720C2211yescharacteristic, complemented
82C2×#14273720C2211yescharacteristic, complemented
83C2×#14273717C2211yescharacteristic, complemented
84C2×#14273717C2211yescharacteristic, complemented
85C2×#14273715C2211yescharacteristic, complemented
86C2×#14273715C2211yescharacteristic, complemented
87C2×#14273715C2211yescharacteristic, complemented
88C2×#14273714C2211yescharacteristic, complemented
89C2×#14273714C2211yescharacteristic, complemented
90C2×#14273713C2211yescharacteristic, complemented
91C2×#14273713C2211yescharacteristic, complemented
92C2×#14273713C2211yescharacteristic, complemented
93C2×#14273713C2211yescharacteristic, complemented
94#16837911C22116yescomplemented
95#16837910C22116yescomplemented
96C2×#14273712C2211yescharacteristic
97C2×#14273712C2211yescharacteristic
98C2×#14273712C2211yescharacteristic, complemented
99C2×#14273712C2211yescharacteristic, complemented
100C2×#14273712C2211yescharacteristic, complemented
101C2×#14273712C2211yescharacteristic, complemented
102C2×#14273712C2211yescharacteristic, complemented
103C2×#14273712C2211yescharacteristic, complemented
104C2×#14273711C2211yescharacteristic, complemented
105C2×#14273710C2211yescharacteristic, complemented
106C2×#14273710C2211yescharacteristic, complemented
107C2×#14273710C2211yescharacteristic, complemented
108C2×#14273709C2211yescharacteristic, complemented
109C2×#14273709C2211yescharacteristic, complemented
110C2×#14273709C2211yescharacteristic, complemented
111C2×#14273709C2211yescharacteristic, complemented
112C2×#14273708C2211yescharacteristic, complemented
113C2×#14273708C2211yescharacteristic, complemented
114C2×#14273706C2211yescharacteristic, complemented
115C2×#14273705C2211yescharacteristic, complemented
116C2×#14273705C2211yescharacteristic, complemented
117C2×#14273705C2211yescharacteristic, complemented
118C2×#14273705C2211yescharacteristic, complemented
119C2×#14273705C2211yescharacteristic, complemented
120C2×#14273705C2211yescharacteristic, complemented
121C2×#14273705C2211yescharacteristic, complemented
122C2×#14273704C2211yescharacteristic, complemented
123C2×#14273704C2211yescharacteristic, complemented
124C2×#14273704C2211yescharacteristic, complemented
125C2×#14273702C2211yescharacteristic, complemented
126C2×#14273702C2211yescharacteristic, complemented
127C2×#14273702C2211yescharacteristic, complemented
128C2×#14273702C2211yescharacteristic, complemented
129C2×#14273702C2211yescharacteristic, complemented
130C2×#14273701C2211yescharacteristic, complemented
131C2×#14273701C2211yescharacteristic, complemented
132C2×#14273701C2211yescharacteristic, complemented
133C2×#14273701C2211yescharacteristic, complemented
134C2×#14273700C2211yescharacteristic
135C2×#14273700C2211yescharacteristic
136C2×#14273700C2211yescharacteristic
137C2×#14273700C2211yescharacteristic, complemented
138C2×#14273700C2211yescharacteristic, complemented
139C2×#14273700C2211yescharacteristic, complemented
140C2×#14273700C2211yescharacteristic, complemented
141C2×#14273700C2211yescharacteristic, complemented
142C2×#14273700C2211yescharacteristic, complemented
143C2×#14273700C2211yescharacteristic, complemented
144C2×#14273699C2211yescharacteristic
145C2×#14273699C2211yescharacteristic, complemented
146C2×#14273699C2211yescharacteristic, complemented
147C2×#14273699C2211yescharacteristic, complemented
148C2×#14273699C2211yescharacteristic, complemented
149C2×#14273699C2211yescharacteristic, complemented
150C2×#14273699C2211yescharacteristic, complemented
151C2×#14273699C2211yescharacteristic, complemented
152C2×#14273699C2211yescharacteristic, complemented
153C2×#14273699C2211yescharacteristic, complemented
154C2×#14273699C2211yescharacteristic, complemented
155C2×#14273699C2211yescharacteristic, complemented
156C2×#14273698C2211yescharacteristic, complemented
157C2×#14273698C2211yescharacteristic, complemented
158#121×D59C22116yescomplemented
159C2×#14273697C2211yescharacteristic
160C2×#14273697C2211yescharacteristic
161C2×#14273697C2211yescharacteristic, complemented
162C2×#14273697C2211yescharacteristic, complemented
163C2×#14273697C2211yescharacteristic, complemented
164C2×#14273697C2211yescharacteristic, complemented
165C2×#14273695C2211yescharacteristic
166C2×#14273695C2211yescharacteristic, complemented
167C2×#14273695C2211yescharacteristic, complemented
168C2×#14273695C2211yescharacteristic, complemented
169C2×#14273695C2211yescharacteristic, complemented
170C2×#14273695C2211yescharacteristic, complemented
171C2×#14273695C2211yescharacteristic, complemented
172C2×#14273695C2211yescharacteristic, complemented
173C2×#14273695C2211yescharacteristic, complemented
174C2×#14273695C2211yescharacteristic, complemented
175C2×#14273692C2211yescharacteristic, complemented
176C2×C4×D236C2211yescharacteristic, complemented
177C2×#14273689C2211yescharacteristic
178C2×#14273689C2211yescharacteristic, complemented
179C2×C4×C22⋊D59C2211yescharacteristic, complemented
180C2×C4×C22⋊D59C2211yescharacteristic, complemented
181C2×C4×C22⋊D59C2211yescharacteristic, complemented
182C2×C4×C22⋊D59C2211yescharacteristic, complemented
183C2×C4×C22⋊D59C2211yescharacteristic, 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×#14273685C2211yescharacteristic, complemented
190C2×#14273685C2211yescharacteristic, complemented
191C2×#14273684C2211yescharacteristic, complemented
192C2×#14273684C2211yescharacteristic, complemented
193C2×#14273684C2211yescharacteristic, complemented
194C2×#14273683C2211yescharacteristic, complemented
195C22×Dic59⋊C4C2211yescharacteristic, complemented
196C2×C4⋊C4×D59C2211yescharacteristic, complemented
197C22×(C2×D59)⋊C4C2211yescharacteristic, complemented
198C22×(C2×D59)⋊C4C2211yescharacteristic, complemented
199C2×C22⋊C4×D59C2211yescharacteristic, complemented
200C2×C22⋊C4×D59C2211yescharacteristic, complemented
201C2×C22⋊C4×D59C2211yescharacteristic, complemented
202C2×C22⋊C4×D59C2211yescharacteristic, complemented
203C59×#540C22116yescomplemented
204C2×#127×C59C2211yescharacteristic, complemented
205C2×#125×C59C2211yescharacteristic, complemented
206C2×#123×C59C2211yescharacteristic, complemented
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×#121×C59C2211yescharacteristic, complemented
215C2×#121×C59C2211yescharacteristic, complemented
216C2×C4×D4×C59C2211yescharacteristic, complemented
217C2×C4×D4×C59C2211yescharacteristic, complemented
218C2×#117×C59C2211yescharacteristic, complemented
219C24×D59C2311yescharacteristic
220C24×D59C2311yescharacteristic
221C24×D59C2311yescharacteristic
222C24×D59C2311yescharacteristic
223C24×D59C2311yescharacteristic
224C2×#11745685—44no—
225C2×#11745685—44no—
226C2×#11745685C2318yescomplemented
227C2×#11745685C2318yescomplemented
228C2×#11745687—44no—
229C2×#11745687—44no—
230C2×#11745687—44no—
231C2×#11745687C2318yescomplemented
232C2×#11745687C2318yescomplemented
233C2×#11745687C2318yescomplemented
234C22×Dic118C2311yescharacteristic
235C22×Dic118C2311yescharacteristic
236C22×Dic118C2311yescharacteristic
237C22×Dic118C2311yescharacteristic
238C22×D236—44no—
239C22×D236C2311yescharacteristic
240C22×D236C2311yescharacteristic
241C22×D236C2311yescharacteristic
242C22×D236C2311yescharacteristic
243C22×D236C2311yescharacteristic
244C22×D236C2311yescharacteristic
245C22×D236C2311yescharacteristic
246C22×D236C2311yescharacteristic
247C22×D236C2311yescharacteristic
248C22×D236C2311yescharacteristic
249C22×D236C2318yes—
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⋊D59C2311yescharacteristic
267C22×C22⋊D59C2311yescharacteristic
268C22×C22⋊D59C2311yescharacteristic
269C22×C22⋊D59C2311yescharacteristic
270C2×D4×D59—44no—
271C2×D4×D59—44no—
272C2×D4×D59—44no—
273C2×D4×D59—44no—
274C2×D4×D59—44no—
275C2×D4×D59C2318yes—
276C2×D4×D59C2318yes—
277C2×D4×D59C2318yescomplemented
278C2×D4×D59C2318yescomplemented
279C2×D4×D59C2318yescomplemented
280C23×Dic59C2311yescharacteristic
281C23×Dic59C2311yescharacteristic
282C23×Dic59C2311yescharacteristic
283C23×Dic59C2311yescharacteristic
284C23×Dic59C2311yescharacteristic
285C22×C4×D59—44no—
286C22×C4×D59C2311yescharacteristic
287C22×C4×D59C2311yescharacteristic
288C22×C4×D59C2311yescharacteristic
289C22×C4×D59C2311yescharacteristic
290C22×C4×D59C2311yescharacteristic
291C22×C4×D59C2311yescharacteristic
292C22×C4×D59C2311yescharacteristic
293C22×C4×D59C2311yescharacteristic
294C22×C4×D59C2311yescharacteristic
295C22×C4×D59C2311yescharacteristic
296C22×C4×D59C2311yescharacteristic
297C22×C4×D59C2311yescharacteristic
298C22×C4×D59C2318yescomplemented
299#14273726C2318yescomplemented
300#14273723C2318yescomplemented
301#14273723C2318yescomplemented
302#14273723C2318yescomplemented
303#14273723C2318yescomplemented
304#14273722C2318yescomplemented
305#14273722C2318yescomplemented
306#14273722C2318yescomplemented
307#14273721C2318yescomplemented
308#14273720C2318yescomplemented
309#14273720C2318yescomplemented
310#14273717C2318yescomplemented
311#14273717C2318yescomplemented
312#14273715C2318yescomplemented
313#14273715C2318yescomplemented
314#14273715C2318yescomplemented
315#14273714C2318yescomplemented
316#14273714C2318yescomplemented
317#14273713C2318yescomplemented
318#14273713C2318yescomplemented
319#14273713C2318yescomplemented
320#14273713C2318yescomplemented
321#14273712C2318yes—
322#14273712C2318yes—
323#14273712C2318yescomplemented
324#14273712C2318yescomplemented
325#14273712C2318yescomplemented
326#14273712C2318yescomplemented
327#14273712C2318yescomplemented
328#14273712C2318yescomplemented
329#14273711C2318yescomplemented
330#14273710C2318yescomplemented
331#14273710C2318yescomplemented
332#14273710C2318yescomplemented
333#14273709C2318yescomplemented
334#14273709C2318yescomplemented
335#14273709C2318yescomplemented
336#14273709C2318yescomplemented
337#14273708C2318yescomplemented
338#14273708C2318yescomplemented
339#14273706C2318yescomplemented
340#14273705C2318yescomplemented
341#14273705C2318yescomplemented
342#14273705C2318yescomplemented
343#14273705C2318yescomplemented
344#14273705C2318yescomplemented
345#14273705C2318yescomplemented
346#14273705C2318yescomplemented
347#14273704C2318yescomplemented
348#14273704C2318yescomplemented
349#14273704C2318yescomplemented
350#14273702C2318yescomplemented
351#14273702C2318yescomplemented
352#14273702C2318yescomplemented
353#14273702C2318yescomplemented
354#14273702C2318yescomplemented
355#14273701C2318yescomplemented
356#14273701C2318yescomplemented
357#14273701C2318yescomplemented
358#14273701C2318yescomplemented
359#14273700C2318yes—
360#14273700C2318yes—
361#14273700C2318yes—
362#14273700C2318yescomplemented
363#14273700C2318yescomplemented
364#14273700C2318yescomplemented
365#14273700C2318yescomplemented
366#14273700C2318yescomplemented
367#14273700C2318yescomplemented
368#14273700C2318yescomplemented
369#14273699C2318yes—
370#14273699C2318yescomplemented
371#14273699C2318yescomplemented
372#14273699C2318yescomplemented
373#14273699C2318yescomplemented
374#14273699C2318yescomplemented
375#14273699C2318yescomplemented
376#14273699C2318yescomplemented
377#14273699C2318yescomplemented
378#14273699C2318yescomplemented
379#14273699C2318yescomplemented
380#14273699C2318yescomplemented
381#14273698C2318yescomplemented
382#14273698C2318yescomplemented
383#14273697C2318yes—
384#14273697C2318yes—
385#14273697C2318yescomplemented
386#14273697C2318yescomplemented
387#14273697C2318yescomplemented
388#14273697C2318yescomplemented
389#14273695C2318yes—
390#14273695C2318yescomplemented
391#14273695C2318yescomplemented
392#14273695C2318yescomplemented
393#14273695C2318yescomplemented
394#14273695C2318yescomplemented
395#14273695C2318yescomplemented
396#14273695C2318yescomplemented
397#14273695C2318yescomplemented
398#14273695C2318yescomplemented
399#14273692C2318yescomplemented
400C4×D236C2318yescomplemented
401#14273689C2318yes—
402#14273689C2318yescomplemented
403C4×C22⋊D59C2318yescomplemented
404C4×C22⋊D59C2318yescomplemented
405C4×C22⋊D59C2318yescomplemented
406C4×C22⋊D59C2318yescomplemented
407C4×C22⋊D59C2318yescomplemented
408(C22⋊D59)⋊C4C2318yescomplemented
409(C22⋊D59)⋊C4C2318yescomplemented
410(C22⋊D59)⋊C4C2318yescomplemented
411(C22⋊D59)⋊C4C2318yescomplemented
412(C22⋊D59)⋊C4C2318yescomplemented
413#14273685C2318yescomplemented
414#14273685C2318yescomplemented
415#14273684C2318yescomplemented
416#14273684C2318yescomplemented
417#14273684C2318yescomplemented
418#14273683C2318yescomplemented
419C2×C4⋊Dic59C2311yescharacteristic
420C2×C4⋊Dic59C2311yescharacteristic
421C2×C4⋊Dic59C2311yescharacteristic
422C2×C4⋊Dic59C2311yescharacteristic
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⋊C4C2318yescomplemented
440C4⋊C4×D59C2318yescomplemented
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×(C2×D59)⋊C4C2311yescharacteristic
452C2×(C2×D59)⋊C4C2311yescharacteristic
453C2×(C2×D59)⋊C4C2311yescharacteristic
454C2×(C2×D59)⋊C4C2311yescharacteristic
455C2×(C2×D59)⋊C4C2311yescharacteristic
456C2×(C2×D59)⋊C4C2311yescharacteristic
457C2×(C2×D59)⋊C4C2311yescharacteristic
458C2×(C2×D59)⋊C4C2311yescharacteristic
459C2×(C2×D59)⋊C4C2311yescharacteristic
460C2×(C2×D59)⋊C4C2311yescharacteristic
461C2×(C2×D59)⋊C4C2311yescharacteristic
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)⋊C4C2311yescharacteristic
479C2×(C2×D59)⋊C4C2318yescomplemented
480C2×(C2×D59)⋊C4C2318yescomplemented
481C22⋊C4×D59C2318yescomplemented
482C22⋊C4×D59C2318yescomplemented
483C22⋊C4×D59C2318yescomplemented
484C22⋊C4×D59C2318yescomplemented
485C2×C4×Dic59C2311yescharacteristic
486C2×C4×Dic59C2311yescharacteristic
487C2×C4×Dic59C2311yescharacteristic
488C2×C4×Dic59C2311yescharacteristic
489C2×C4×Dic59C2311yescharacteristic
490C2×C4×Dic59C2311yescharacteristic
491C22×D4×C59C2311yescharacteristic
492C22×D4×C59C2311yescharacteristic
493C22×D4×C59C2311yescharacteristic
494C22×D4×C59C2311yescharacteristic
495C22×D4×C59C2311yescharacteristic
496C22×D4×C59C2311yescharacteristic
497C22×D4×C59C2311yescharacteristic
498C22×D4×C59C2311yescharacteristic
499C22×D4×C59C2311yescharacteristic
500C22×D4×C59C2311yescharacteristic
501C23×C4×C59C2311yescharacteristic
502C23×C4×C59C2311yescharacteristic
503C23×C4×C59C2311yescharacteristic
504C23×C4×C59C2311yescharacteristic
505C23×C4×C59C2311yescharacteristic
506#127×C59C2318yescomplemented
507#125×C59C2318yescomplemented
508#123×C59C2318yescomplemented
509#123×C59C2318yescomplemented
510#123×C59C2318yescomplemented
511#123×C59C2318yescomplemented
512#121×C59C2318yescomplemented
513#121×C59C2318yescomplemented
514#121×C59C2318yescomplemented
515#121×C59C2318yescomplemented
516#121×C59C2318yescomplemented
517#121×C59C2318yescomplemented
518C4×D4×C59C2318yescomplemented
519C4×D4×C59C2318yescomplemented
520#117×C59C2318yescomplemented
521C2×C4⋊C4×C59C2311yescharacteristic
522C2×C4⋊C4×C59C2311yescharacteristic
523C2×C4⋊C4×C59C2311yescharacteristic
524C2×C4⋊C4×C59C2311yescharacteristic
525C2×C4⋊C4×C59C2311yescharacteristic
526C2×C4⋊C4×C59C2311yescharacteristic
527C2×C4⋊C4×C59C2311yescharacteristic
528C2×C4⋊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×C42×C59C2311yescharacteristic
540C2×C42×C59C2311yescharacteristic
541C24×C59C2411yescharacteristic
542C24×C59C2411yescharacteristic
543C24×C59C2411yescharacteristic
544C24×C59C2411yescharacteristic
545C24×C59C2411yescharacteristic
546C23×D59—24no—
547C23×D59—24no—
548C23×D59—24no—
549C23×D59—42no—
550C23×D59—42no—
551C23×D59—42no—
552C23×D59—42no—
553C23×D59—42no—
554C23×D59—42no—
555C23×D59—42no—
556C23×D59—42no—
557C23×D59—42no—
558C23×D59—42no—
559C23×D59—42no—
560C23×D59—42no—
561C23×D59C2411yescharacteristic
562C23×D59C2411yescharacteristic
563C23×D59C2411yescharacteristic
564C23×D59C2411yescharacteristic
565C23×D59C2411yescharacteristic
566C23×D59C2411yescharacteristic
567C23×D59C2414yes—
568C23×D59C2414yes—
569C23×D59C2414yes—
570C23×D59C2414yes—
571C23×D59C2414yes—
572C2×D4×C59—42no—
573C2×D4×C59—42no—
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—42no—
581C2×D4×C59—42no—
582C2×D4×C59C2414yes—
583C2×D4×C59C2414yes—
584C2×D4×C59C2414yes—
585C2×D4×C59C2414yes—
586C2×D4×C59C2414yes—
587C2×D4×C59C2414yes—
588C2×D4×C59C2414yes—
589C2×D4×C59C2414yes—
590C2×D4×C59C2414yes—
591C2×D4×C59C2414yes—
592C22×C4×C59—42no—
593C22×C4×C59—42no—
594C22×C4×C59—42no—
595C22×C4×C59—42no—
596C22×C4×C59—42no—
597C22×C4×C59C2411yescharacteristic
598C22×C4×C59C2411yescharacteristic
599C22×C4×C59C2411yescharacteristic
600C22×C4×C59C2411yescharacteristic
601C22×C4×C59C2411yescharacteristic
602C22×C4×C59C2411yescharacteristic
603C22×C4×C59C2411yescharacteristic
604C22×C4×C59C2411yescharacteristic
605C22×C4×C59C2411yescharacteristic
606C22×C4×C59C2411yescharacteristic
607C22×C4×C59C2414yes—
608C22×C4×C59C2414yes—
609C22×C4×C59C2414yes—
610C22×C4×C59C2414yes—
611C22×C4×C59C2414yes—
612C2×C22⋊D59—24no—
613C2×C22⋊D59—24no—
614C2×C22⋊D59—24no—
615C2×C22⋊D59—24no—
616C2×C22⋊D59—24no—
617C2×C22⋊D59—42no—
618C2×C22⋊D59—42no—
619C2×C22⋊D59—42no—
620C2×C22⋊D59—42no—
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—42no—
631C2×C22⋊D59—42no—
632C2×C22⋊D59C2414yes—
633C2×C22⋊D59C2414yes—
634C2×C22⋊D59C2414yes—
635C2×C22⋊D59C2414yes—
636C2×C22⋊D59C2414yes—
637C2×C22⋊D59C2414yes—
638C2×C22⋊D59C2414yes—
639C2×C22⋊D59C2414yes—
640C2×C22⋊D59C2414yes—
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—
652C22×Dic59—24no—
653C22×Dic59—24no—
654C22×Dic59—42no—
655C22×Dic59—42no—
656C22×Dic59—42no—
657C22×Dic59C2411yescharacteristic
658C22×Dic59C2411yescharacteristic
659C22×Dic59C2411yescharacteristic
660C22×Dic59C2411yescharacteristic
661C22×Dic59C2411yescharacteristic
662C22×Dic59C2411yescharacteristic
663C22×Dic59C2411yescharacteristic
664C22×Dic59C2411yescharacteristic
665C22×Dic59C2411yescharacteristic
666C22×Dic59C2414yes—
667C22×Dic59C2414yes—
668C22×Dic59C2414yes—
669C22×Dic59C2414yes—
670C22×Dic59C2414yes—
671C22×Dic59C2411yescharacteristic
672#11745687—416no—
673#11745687—416no—
674#11745687—416no—
675D4×D59—416no—
676D4×D59—416no—
677D4×D59—416no—
678D4×D59—416no—
679D4×D59—416no—
680#11745685—416no—
681#11745685—416no—
682C2×D236—24no—
683C2×D236—24no—
684C2×D236—416no—
685C2×D236—42no—
686C2×D236—42no—
687C2×D236—42no—
688C2×D236—42no—
689C2×D236—42no—
690C2×D236—42no—
691C2×D236—42no—
692C2×D236—42no—
693C2×D236C2414yes—
694C2×D236C2414yes—
695C2×D236C2414yes—
696C2×D236C2414yes—
697C2×D236C2414yes—
698C2×D236C2414yes—
699C2×D236C2414yes—
700C2×D236C2414yes—
701C2×D236C2414yes—
702C2×D236C2414yes—
703C2×C4×D59—24no—
704C2×C4×D59—24no—
705C2×C4×D59—24no—
706C2×C4×D59—24no—
707C2×C4×D59—24no—
708C2×C4×D59—416no—
709C2×C4×D59—42no—
710C2×C4×D59—42no—
711C2×C4×D59—42no—
712C2×C4×D59—42no—
713C2×C4×D59—42no—
714C2×C4×D59—42no—
715C2×C4×D59—42no—
716C2×C4×D59C2414yes—
717C2×C4×D59C2414yes—
718C2×C4×D59C2414yes—
719C2×C4×D59C2414yes—
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—
740C4⋊C4×C59C2414yes—
741C4⋊C4×C59C2414yes—
742C4⋊C4×C59C2414yes—
743C4⋊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⋊C4×C59C2414yes—
753C22⋊C4×C59C2414yes—
754C42×C59C2414yes—
755C42×C59C2414yes—
756C22⋊Dic59C2414yes—
757C22⋊Dic59C2414yes—
758C22⋊Dic59C2414yes—
759C22⋊Dic59C2414yes—
760C22⋊Dic59C2414yes—
761C22⋊Dic59C2414yes—
762C22⋊Dic59C2414yes—
763C22⋊Dic59C2414yes—
764C22⋊Dic59C2414yes—
765C22⋊Dic59C2414yes—
766(C2×D59)⋊C4C2414yes—
767(C2×D59)⋊C4C2414yes—
768(C2×D59)⋊C4C2414yes—
769(C2×D59)⋊C4C2414yes—
770(C2×D59)⋊C4C2414yes—
771(C2×D59)⋊C4C2414yes—
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—
788(C2×D59)⋊C4C2414yes—
789(C2×D59)⋊C4C2414yes—
790(C2×D59)⋊C4C2414yes—
791(C2×D59)⋊C4C2414yes—
792(C2×D59)⋊C4C2414yes—
793(C2×D59)⋊C4C2414yes—
794C4⋊Dic59C2414yes—
795C4⋊Dic59C2414yes—
796C4⋊Dic59C2414yes—
797C4⋊Dic59C2414yes—
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—
812Dic59⋊C4C2414yes—
813Dic59⋊C4C2414yes—
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—22no—
830C23×C59—22no—
831C23×C59—22no—
832C23×C59—22no—
833C23×C59—22no—
834C23×C59—22no—
835C23×C59C2512yes—
836C23×C59C2512yes—
837C23×C59C2512yes—
838C23×C59C2512yes—
839C23×C59C2512yes—
840C23×C59C2511yescharacteristic
841C22×D59—22no—
842C22×D59—22no—
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—22no—
853C22×D59—22no—
854C22×D59—22no—
855C22×D59—22no—
856C22×D59—22no—
857C22×D59—22no—
858C22×D59—28no—
859C22×D59—28no—
860C22×D59—28no—
861C22×D59—44no—
862C22×D59—44no—
863C22×D59—44no—
864C22×D59—44no—
865C22×D59—44no—
866C22×D59—44no—
867C22×D59—44no—
868C22×D59—44no—
869C22×D59—44no—
870C22×D59—44no—
871C22×D59—44no—
872C22×D59—44no—
873C22×D59—416no—
874C22×D59—88no—
875C22×D59—88no—
876C22×D59—88no—
877C22×D59—88no—
878C22×D59H(5,𝔽2)14yes—
879C22×D59C2512yes—
880C22×D59C2512yes—
881C22×D59C2512yes—
882C22×D59C2512yes—
883C22×D59C2512yes—
884C22×D59C2512yes—
885D4×C59—44no—
886D4×C59—44no—
887D4×C59—44no—
888D4×C59—44no—
889D4×C59—44no—
890D4×C59—44no—
891D4×C59—44no—
892D4×C59—44no—
893D4×C59—44no—
894D4×C59—44no—
895C2×C4×C59—22no—
896C2×C4×C59—22no—
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—22no—
904C2×C4×C59—22no—
905C2×C4×C59—44no—
906C2×C4×C59—44no—
907C2×C4×C59—44no—
908C2×C4×C59—44no—
909C2×C4×C59—44no—
910C2×C4×C59C2512yes—
911C2×C4×C59C2512yes—
912C2×C4×C59C2512yes—
913C2×C4×C59C2512yes—
914C2×C4×C59C2512yes—
915C2×C4×C59C2512yes—
916C2×C4×C59C2512yes—
917C2×C4×C59C2512yes—
918C2×C4×C59C2512yes—
919C2×C4×C59C2512yes—
920C22⋊D59—28no—
921C22⋊D59—28no—
922C22⋊D59—28no—
923C22⋊D59—28no—
924C22⋊D59—28no—
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—
940C2×Dic59—22no—
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—28no—
951C2×Dic59—44no—
952C2×Dic59—44no—
953C2×Dic59—44no—
954C2×Dic59H(5,𝔽2)14yes—
955C2×Dic59C2512yes—
956C2×Dic59C2512yes—
957C2×Dic59C2512yes—
958C2×Dic59C2512yes—
959C2×Dic59C2512yes—
960C2×Dic59C2512yes—
961C2×Dic59C2512yes—
962C2×Dic59C2512yes—
963C2×Dic59C2512yes—
964C2×Dic59C2512yes—
965D236—28no—
966D236—28no—
967D236—44no—
968D236—44no—
969D236—44no—
970D236—44no—
971D236—44no—
972D236—44no—
973D236—44no—
974D236—44no—
975C4×D59—28no—
976C4×D59—28no—
977C4×D59—28no—
978C4×D59—28no—
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—22no—
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—44no—
1008C22×C59—44no—
1009C22×C59—44no—
1010C22×C59—44no—
1011C22×C59—44no—
1012C22×C59C2×H(5,𝔽2)12yes—
1013C22×C59C2×H(5,𝔽2)12yes—
1014C22×C59#58512yes—
1015C22×C59C2611yescharacteristic
1016C2×D59—22no—
1017C2×D59—22no—
1018C2×D59—28no—
1019C2×D59—22no—
1020C2×D59—22no—
1021C2×D59—22no—
1022C2×D59—22no—
1023C2×D59—22no—
1024C2×D59—22no—
1025C2×D59—22no—
1026C2×D59—22no—
1027C2×D59—22no—
1028C2×D59—22no—
1029C2×D59—22no—
1030C2×D59—22no—
1031C2×D59—22no—
1032C2×D59—22no—
1033C2×D59—22no—
1034C2×D59—416no—
1035C2×D59—44no—
1036C2×D59—44no—
1037C2×D59—44no—
1038C2×D59—44no—
1039C2×D59—44no—
1040C2×D59—88no—
1041C2×D59—88no—
1042C2×D59—88no—
1043C2×D59—88no—
1044C2×D59C2×H(5,𝔽2)14yes—
1045C4×C59—22no—
1046C4×C59—22no—
1047C4×C59—22no—
1048C4×C59—22no—
1049C4×C59—22no—
1050C4×C59—22no—
1051C4×C59—22no—
1052C4×C59—22no—
1053C4×C59—22no—
1054C4×C59—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×#540D5911yescharacteristic, complemented
1086C2×#538—591no—
1087C2×#538—591no—
1088C2×#537—591no—
1089C2×#535—591no—
1090C2×#535—591no—
1091C2×#535—591no—
1092C2×#534—591no—
1093C2×#534—591no—
1094C2×#525—591no—
1095C2×#525—591no—
1096C22×#121—591no—
1097C2×C59—42no—
1098C2×C59—42no—
1099C2×C59—42no—
1100C2×C59—42no—
1101C2×C59—42no—
1102C2×C59#354214yescomplemented
1103C2×C59C22×H(5,𝔽2)11yescharacteristic
1104C2×C59C22×H(5,𝔽2)11yescharacteristic
1105C2×C59C2×#58511yescharacteristic
1106D59—24no—
1107D59—42no—
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×D4—591no—
1122C23×D4—591no—
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#540C2×D59116yescomplemented
1144#538—5916no—
1145#538—5916no—
1146#537—5916no—
1147#535—5916no—
1148#535—5916no—
1149#535—5916no—
1150#534—5916no—
1151#534—5916no—
1152C2×C4⋊Q8—591no—
1153C2×#127—591no—
1154C2×#127—591no—
1155C2×#127—591no—
1156C2×#127—591no—
1157C2×#127C2×D5911yescharacteristic, complemented
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×#125C2×D5911yescharacteristic, complemented
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, complemented
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—5916no—
1230C2×#121—591no—
1231C2×#121—591no—
1232C2×#121—591no—
1233C2×#121—591no—
1234C2×#121—591no—
1235C2×#121—591no—
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×#121C2×D5911yescharacteristic, complemented
1246C2×#121C2×D5911yescharacteristic, complemented
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×#120—591no—
1264C2×#120—591no—
1265C2×#120—591no—
1266C2×#120—591no—
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×D4C2×D5911yescharacteristic, complemented
1282C2×C4×D4C2×D5911yescharacteristic, complemented
1283C2×#117—591no—
1284C2×#117—591no—
1285C2×#117—591no—
1286C2×#117—591no—
1287C2×#117—591no—
1288C2×#117—591no—
1289C2×#117C2×D5911yescharacteristic, complemented
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⋊C4—591no—
1298C59C2×#354211yescharacteristic, complemented, Sylow
1299C25—591no—
1300C25—591no—
1301C25—591no—
1302C25—591no—
1303C25—591no—
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—591no—
1319C22×D4—591no—
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—598no—
1339C22×D4—598no—
1340C22×D4—598no—
1341C22×D4—598no—
1342C22×D4—598no—
1343C22×D4—591no—
1344C22×D4—591no—
1345C22×D4—591no—
1346C22×D4—591no—
1347C22×D4—591no—
1348C22×D4—591no—
1349C22×D4—591no—
1350C22×D4—591no—
1351C22×D4—591no—
1352C22×D4—591no—
1353C22×D4—598no—
1354C22×D4—2364no—
1355C22×D4—2364no—
1356C22×D4—2364no—
1357C22×D4—2364no—
1358C22×D4—2364no—
1359C22×D4—2364no—
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×D5911yescharacteristic
1369C22×D4C22×D5911yescharacteristic
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—591no—
1381C23×C4—591no—
1382C23×C4—591no—
1383C23×C4—591no—
1384C23×C4—591no—
1385C23×C4—591no—
1386C23×C4—591no—
1387C23×C4—598no—
1388C23×C4—2364no—
1389C23×C4C22×D5911yescharacteristic
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#127C22×D5918yescomplemented
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#125C22×D5918yescomplemented
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×D5918yescomplemented
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#121C22×D5918yescomplemented
1485#121C22×D5918yescomplemented
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#120—598no—
1503#120—598no—
1504#120—598no—
1505#120—598no—
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×D4C22×D5918yescomplemented
1521C4×D4C22×D5918yescomplemented
1522#117—598no—
1523#117—598no—
1524#117—598no—
1525#117—598no—
1526#117—598no—
1527#117—598no—
1528#117C22×D5918yescomplemented
1529C2×C4⋊C4—591no—
1530C2×C4⋊C4—591no—
1531C2×C4⋊C4—591no—
1532C2×C4⋊C4—591no—
1533C2×C4⋊C4—591no—
1534C2×C4⋊C4—591no—
1535C2×C4⋊C4—598no—
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—598no—
1551C2×C4⋊C4C22×D5911yescharacteristic
1552C2×C4⋊C4C22×D5911yescharacteristic
1553C2×C4⋊C4C22×D5911yescharacteristic
1554C2×C4⋊C4C22×D5911yescharacteristic
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—591no—
1568C2×C22⋊C4—591no—
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—598no—
1583C2×C22⋊C4—598no—
1584C2×C22⋊C4—591no—
1585C2×C22⋊C4—591no—
1586C2×C22⋊C4—591no—
1587C2×C22⋊C4—591no—
1588C2×C22⋊C4—591no—
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—591no—
1599C2×C22⋊C4—598no—
1600C2×C22⋊C4—598no—
1601C2×C22⋊C4—598no—
1602C2×C22⋊C4—598no—
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×D5911yescharacteristic
1613C2×C42—591no—
1614C2×C42—591no—
1615C2×C42—591no—
1616C2×C42—591no—
1617C2×C42—591no—
1618C2×C42—591no—
1619C2×C42C22×D5911yescharacteristic
1620C2×C42C22×D5911yescharacteristic
1621C24—591no—
1622C24—591no—
1623C24—591no—
1624C24—591no—
1625C24—591no—
1626C24—591no—
1627C24—594no—
1628C24—594no—
1629C24—594no—
1630C24—594no—
1631C24—594no—
1632C24—1184no—
1633C24—1184no—
1634C24—1184no—
1635C24—2362no—
1636C24—2362no—
1637C24—2362no—
1638C24—2362no—
1639C24—2362no—
1640C24—2362no—
1641C24—2362no—
1642C24—2362no—
1643C24—2362no—
1644C24—2362no—
1645C24—2362no—
1646C24—2362no—
1647C24C23×D5911yescharacteristic
1648C24C23×D5911yescharacteristic
1649C24C23×D5911yescharacteristic
1650C24C23×D5911yescharacteristic
1651C24C23×D5911yescharacteristic
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—42no—
1666C2×D4—42no—
1667C2×D4—42no—
1668C2×D4—42no—
1669C2×D4—42no—
1670C2×D4—42no—
1671C2×D4—42no—
1672C2×D4—42no—
1673C2×D4—42no—
1674C2×D4—42no—
1675C2×D4—594no—
1676C2×D4—594no—
1677C2×D4—594no—
1678C2×D4—594no—
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—1184no—
1706C2×D4—1184no—
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—2362no—
1717C2×D4—2362no—
1718C2×D4—2362no—
1719C2×D4—2362no—
1720C2×D4—23616no—
1721C2×D4—23616no—
1722C2×D4—23616no—
1723C2×D4—23616no—
1724C2×D4—23616no—
1725C2×D4—2362no—
1726C2×D4—2362no—
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—2362no—
1739C2×D4—2362no—
1740C2×D4—23616no—
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—42no—
1752C22×C4—42no—
1753C22×C4—42no—
1754C22×C4—42no—
1755C22×C4—42no—
1756C22×C4—591no—
1757C22×C4—594no—
1758C22×C4—594no—
1759C22×C4—591no—
1760C22×C4—591no—
1761C22×C4—591no—
1762C22×C4—591no—
1763C22×C4—591no—
1764C22×C4—591no—
1765C22×C4—591no—
1766C22×C4—591no—
1767C22×C4—591no—
1768C22×C4—594no—
1769C22×C4—594no—
1770C22×C4—594no—
1771C22×C4—594no—
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—1184no—
1784C22×C4—1184no—
1785C22×C4—1184no—
1786C22×C4—1184no—
1787C22×C4—1184no—
1788C22×C4—1184no—
1789C22×C4—1184no—
1790C22×C4—2362no—
1791C22×C4—2362no—
1792C22×C4—2362no—
1793C22×C4—2362no—
1794C22×C4—2362no—
1795C22×C4—2362no—
1796C22×C4—2362no—
1797C22×C4—23616no—
1798C22×C4—2362no—
1799C22×C4—2362no—
1800C22×C4—2362no—
1801C22×C4C23×D5911yescharacteristic
1802C22×C4C23×D5911yescharacteristic
1803C22×C4C23×D5911yescharacteristic
1804C22×C4C23×D5911yescharacteristic
1805C22×C4C23×D5911yescharacteristic
1806C22×C4C23×D5911yescharacteristic
1807C22×C4C23×D5911yescharacteristic
1808C22×C4C23×D5911yescharacteristic
1809C22×C4C23×D5911yescharacteristic
1810C22×C4C23×D5911yescharacteristic
1811C22×C4C23×D5914yes—
1812C22×C4C23×D5914yes—
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⋊C4C23×D5914yes—
1837C4⋊C4C23×D5914yes—
1838C4⋊C4C23×D5914yes—
1839C4⋊C4C23×D5914yes—
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⋊C4—594no—
1881C22⋊C4—594no—
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—
1898C42C23×D5914yes—
1899C42C23×D5914yes—
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—22no—
1913C23—22no—
1914C23—22no—
1915C23—594no—
1916C23—592no—
1917C23—592no—
1918C23—592no—
1919C23—592no—
1920C23—592no—
1921C23—592no—
1922C23—1188no—
1923C23—1188no—
1924C23—1188no—
1925C23—1182no—
1926C23—1182no—
1927C23—1182no—
1928C23—1182no—
1929C23—1182no—
1930C23—1182no—
1931C23—1182no—
1932C23—1182no—
1933C23—1182no—
1934C23—1182no—
1935C23—1182no—
1936C23—1182no—
1937C23—1182no—
1938C23—1182no—
1939C23—1182no—
1940C23—1182no—
1941C23—1182no—
1942C23—4728no—
1943C23—4728no—
1944C23—4728no—
1945C23—4728no—
1946C23—2364no—
1947C23—2364no—
1948C23—2364no—
1949C23—2364no—
1950C23—2364no—
1951C23—2364no—
1952C23—2364no—
1953C23—2364no—
1954C23—2364no—
1955C23—2364no—
1956C23—2364no—
1957C23—2364no—
1958C23—23616no—
1959C23C24×D5912yes—
1960C23C24×D5912yes—
1961C23C24×D5912yes—
1962C23C24×D5912yes—
1963C23C24×D5912yes—
1964C23C24×D5911yescharacteristic
1965Q8—1188no—
1966Q8—2364no—
1967Q8—2364no—
1968Q8—2364no—
1969D4—44no—
1970D4—44no—
1971D4—44no—
1972D4—44no—
1973D4—44no—
1974D4—44no—
1975D4—44no—
1976D4—44no—
1977D4—44no—
1978D4—44no—
1979D4—1188no—
1980D4—1188no—
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—22no—
2014C2×C4—22no—
2015C2×C4—22no—
2016C2×C4—22no—
2017C2×C4—22no—
2018C2×C4—22no—
2019C2×C4—44no—
2020C2×C4—44no—
2021C2×C4—44no—
2022C2×C4—44no—
2023C2×C4—44no—
2024C2×C4—594no—
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—592no—
2035C2×C4—1188no—
2036C2×C4—1188no—
2037C2×C4—1188no—
2038C2×C4—1188no—
2039C2×C4—1188no—
2040C2×C4—1188no—
2041C2×C4—1188no—
2042C2×C4—1182no—
2043C2×C4—1182no—
2044C2×C4—1182no—
2045C2×C4—1182no—
2046C2×C4—1182no—
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×C4C24×D5912yes—
2062C2×C4C24×D5912yes—
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—22no—
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—44no—
2087C22—44no—
2088C22—44no—
2089C22—44no—
2090C22—44no—
2091C22—594no—
2092C22—1182no—
2093C22—1182no—
2094C22—1188no—
2095C22—1182no—
2096C22—1182no—
2097C22—1182no—
2098C22—1182no—
2099C22—1182no—
2100C22—1182no—
2101C22—1182no—
2102C22—1182no—
2103C22—1182no—
2104C22—1182no—
2105C22—1182no—
2106C22—1182no—
2107C22—1182no—
2108C22—1182no—
2109C22—1182no—
2110C22—4728no—
2111C22—4728no—
2112C22—4728no—
2113C22—4728no—
2114C22—23616no—
2115C22—2364no—
2116C22—2364no—
2117C22—2364no—
2118C22—2364no—
2119C22—2364no—
2120C22H(5,𝔽2)×D5912yes—
2121C22H(5,𝔽2)×D5912yes—
2122C22#1683823812yes—
2123C22C25×D5911yescharacteristic
2124C4—22no—
2125C4—22no—
2126C4—22no—
2127C4—22no—
2128C4—22no—
2129C4—22no—
2130C4—22no—
2131C4—22no—
2132C4—22no—
2133C4—22no—
2134C4—594no—
2135C4—1182no—
2136C4—1182no—
2137C4—1182no—
2138C4—1182no—
2139C4—1182no—
2140C4—1182no—
2141C4—1182no—
2142C4—1182no—
2143C4—1182no—
2144C2—42no—
2145C2—42no—
2146C2—42no—
2147C2—42no—
2148C2—42no—
2149C2—1184no—
2150C2—2362no—
2151C2—2362no—
2152C2—2362no—
2153C2—2362no—
2154C2—2362no—
2155C2#2143840314yesdirect product factor
2156C2C2×H(5,𝔽2)×D5911yescharacteristic
2157C2C2×H(5,𝔽2)×D5911yescharacteristic
2158C2C2×#1683823811yescharacteristic
subgroupG/H
centerC23C24×D59
commutator, cosocleC22×C59C26
FrattiniC22C25×D59
FittingC2×C59×#540C2
socleC23×C59C25
hypercenterC2×#540D59
hypocenterC59C2×#3542
LCSG ▷ C22×C59 ▷ C59
UCSC1 ◁ C23 ◁ C2×#540

Complements

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

NH ≅ G/Ntype
1. #21438403C2direct (N × H)
2. C2×#16838150C2semidirect
3. C2×#16838147C2semidirect
4. C2×#16838142C2semidirect
5. C2×#16838140C2semidirect
6. C2×#16838115C2semidirect
7. C2×#16838101C2semidirect
8. C2×#16838084C2semidirect
9. C2×#16838080C2semidirect
10. C2×#16838076C2semidirect
11. C2×#16838070C2semidirect
12. C2×#16838050C2semidirect
13. C2×#16838048C2semidirect
14. C2×#16838044C2semidirect
15. C2×#16838041C2semidirect
16. C2×#16838041C2semidirect
17. C2×#16838036C2semidirect
18. C2×#16838020C2semidirect
19. C2×#16838004C2semidirect
20. C2×#16838002C2semidirect
21. C2×#16837985C2semidirect
22. C2×#16837984C2semidirect
23. C2×#16837979C2semidirect
24. C2×#16837968C2semidirect
25. C2×#16837965C2semidirect
26. C2×#16837965C2semidirect
27. C2×#16837963C2semidirect
28. C2×#16837960C2semidirect
29. C2×#16837911C2semidirect
30. C2×#16837910C2semidirect
31. C2×#121×D59C2semidirect
32. C2×C59×#540C2semidirect
33. C22×#11745685C22semidirect
34. C22×#11745685C22semidirect
35. C22×#11745687C22semidirect
36. C22×#11745687C22semidirect
37. C22×#11745687C22semidirect
41. C22×D4×D59C22semidirect
42. C22×D4×D59C22semidirect
43. C22×D4×D59C22semidirect
44. C23×C4×D59C22semidirect
45. #16838150C22semidirect
46. #16838147C22semidirect
47. #16838142C22semidirect
48. #16838140C22semidirect
49. #16838115C22semidirect
50. #16838101C22semidirect
51. #16838084C22semidirect
52. #16838080C22semidirect
53. #16838076C22semidirect
54. #16838070C22semidirect
55. #16838050C22semidirect
56. #16838048C22semidirect
57. #16838044C22semidirect
58. #16838041C22semidirect
59. #16838041C22semidirect
60. #16838036C22semidirect
61. #16838020C22semidirect
62. #16838004C22semidirect
63. #16838002C22semidirect
64. #16837985C22semidirect
65. #16837984C22semidirect
66. #16837979C22semidirect
67. #16837968C22semidirect
68. #16837965C22semidirect
69. #16837965C22semidirect
70. #16837963C22semidirect
71. #16837960C22semidirect
72. C2×#14273726C22semidirect
73. C2×#14273723C22semidirect
74. C2×#14273723C22semidirect
75. C2×#14273723C22semidirect
76. C2×#14273723C22semidirect
77. C2×#14273722C22semidirect
78. C2×#14273722C22semidirect
79. C2×#14273722C22semidirect
80. C2×#14273721C22semidirect
81. C2×#14273720C22semidirect
82. C2×#14273720C22semidirect
83. C2×#14273717C22semidirect
84. C2×#14273717C22semidirect
85. C2×#14273715C22semidirect
86. C2×#14273715C22semidirect
87. C2×#14273715C22semidirect
88. C2×#14273714C22semidirect
89. C2×#14273714C22semidirect
90. C2×#14273713C22semidirect
91. C2×#14273713C22semidirect
92. C2×#14273713C22semidirect
93. C2×#14273713C22semidirect
94. #16837911C22semidirect
95. #16837910C22semidirect
98. C2×#14273712C22semidirect
99. C2×#14273712C22semidirect
100. C2×#14273712C22semidirect
101. C2×#14273712C22semidirect
102. C2×#14273712C22semidirect
103. C2×#14273712C22semidirect
104. C2×#14273711C22semidirect
105. C2×#14273710C22semidirect
106. C2×#14273710C22semidirect
107. C2×#14273710C22semidirect
108. C2×#14273709C22semidirect
109. C2×#14273709C22semidirect
110. C2×#14273709C22semidirect
111. C2×#14273709C22semidirect
112. C2×#14273708C22semidirect
113. C2×#14273708C22semidirect
114. C2×#14273706C22semidirect
115. C2×#14273705C22semidirect
116. C2×#14273705C22semidirect
117. C2×#14273705C22semidirect
118. C2×#14273705C22semidirect
119. C2×#14273705C22semidirect
120. C2×#14273705C22semidirect
121. C2×#14273705C22semidirect
122. C2×#14273704C22semidirect
123. C2×#14273704C22semidirect
124. C2×#14273704C22semidirect
125. C2×#14273702C22semidirect
126. C2×#14273702C22semidirect
127. C2×#14273702C22semidirect
128. C2×#14273702C22semidirect
129. C2×#14273702C22semidirect
130. C2×#14273701C22semidirect
131. C2×#14273701C22semidirect
132. C2×#14273701C22semidirect
133. C2×#14273701C22semidirect
137. C2×#14273700C22semidirect
138. C2×#14273700C22semidirect
139. C2×#14273700C22semidirect
140. C2×#14273700C22semidirect
141. C2×#14273700C22semidirect
142. C2×#14273700C22semidirect
143. C2×#14273700C22semidirect
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×#14273699C22semidirect
154. C2×#14273699C22semidirect
155. C2×#14273699C22semidirect
156. C2×#14273698C22semidirect
157. C2×#14273698C22semidirect
158. #121×D59C22semidirect
161. C2×#14273697C22semidirect
162. C2×#14273697C22semidirect
163. C2×#14273697C22semidirect
164. C2×#14273697C22semidirect
166. C2×#14273695C22semidirect
167. C2×#14273695C22semidirect
168. C2×#14273695C22semidirect
169. C2×#14273695C22semidirect
170. C2×#14273695C22semidirect
171. C2×#14273695C22semidirect
172. C2×#14273695C22semidirect
173. C2×#14273695C22semidirect
174. C2×#14273695C22semidirect
175. C2×#14273692C22semidirect
176. C2×C4×D236C22semidirect
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×C4×C22⋊D59C22semidirect
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×#14273685C22semidirect
190. C2×#14273685C22semidirect
191. C2×#14273684C22semidirect
192. C2×#14273684C22semidirect
193. C2×#14273684C22semidirect
194. C2×#14273683C22semidirect
195. C22×Dic59⋊C4C22semidirect
196. C2×C4⋊C4×D59C22semidirect
197. C22×(C2×D59)⋊C4C22semidirect
198. C22×(C2×D59)⋊C4C22semidirect
199. C2×C22⋊C4×D59C22semidirect
200. C2×C22⋊C4×D59C22semidirect
201. C2×C22⋊C4×D59C22semidirect
202. C2×C22⋊C4×D59C22semidirect
203. C59×#540C22semidirect
204. C2×#127×C59C22semidirect
205. C2×#125×C59C22semidirect
206. C2×#123×C59C22semidirect
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
214. C2×#121×C59C22semidirect
215. C2×#121×C59C22semidirect
216. C2×C4×D4×C59C22semidirect
217. C2×C4×D4×C59C22semidirect
218. C2×#117×C59C22semidirect
226. C2×#11745685C23semidirect
227. C2×#11745685C23semidirect
231. C2×#11745687C23semidirect
232. C2×#11745687C23semidirect
233. C2×#11745687C23semidirect
277. C2×D4×D59C23semidirect
278. C2×D4×D59C23semidirect
279. C2×D4×D59C23semidirect
298. C22×C4×D59C23semidirect
299. #14273726C23semidirect
300. #14273723C23semidirect
301. #14273723C23semidirect
302. #14273723C23semidirect
303. #14273723C23semidirect
304. #14273722C23semidirect
305. #14273722C23semidirect
306. #14273722C23semidirect
307. #14273721C23semidirect
308. #14273720C23semidirect
309. #14273720C23semidirect
310. #14273717C23semidirect
311. #14273717C23semidirect
312. #14273715C23semidirect
313. #14273715C23semidirect
314. #14273715C23semidirect
315. #14273714C23semidirect
316. #14273714C23semidirect
317. #14273713C23semidirect
318. #14273713C23semidirect
319. #14273713C23semidirect
320. #14273713C23semidirect
323. #14273712C23semidirect
324. #14273712C23semidirect
325. #14273712C23semidirect
326. #14273712C23semidirect
327. #14273712C23semidirect
328. #14273712C23semidirect
329. #14273711C23semidirect
330. #14273710C23semidirect
331. #14273710C23semidirect
332. #14273710C23semidirect
333. #14273709C23semidirect
334. #14273709C23semidirect
335. #14273709C23semidirect
336. #14273709C23semidirect
337. #14273708C23semidirect
338. #14273708C23semidirect
339. #14273706C23semidirect
340. #14273705C23semidirect
341. #14273705C23semidirect
342. #14273705C23semidirect
343. #14273705C23semidirect
344. #14273705C23semidirect
345. #14273705C23semidirect
346. #14273705C23semidirect
347. #14273704C23semidirect
348. #14273704C23semidirect
349. #14273704C23semidirect
350. #14273702C23semidirect
351. #14273702C23semidirect
352. #14273702C23semidirect
353. #14273702C23semidirect
354. #14273702C23semidirect
355. #14273701C23semidirect
356. #14273701C23semidirect
357. #14273701C23semidirect
358. #14273701C23semidirect
362. #14273700C23semidirect
363. #14273700C23semidirect
364. #14273700C23semidirect
365. #14273700C23semidirect
366. #14273700C23semidirect
367. #14273700C23semidirect
368. #14273700C23semidirect
370. #14273699C23semidirect
371. #14273699C23semidirect
372. #14273699C23semidirect
373. #14273699C23semidirect
374. #14273699C23semidirect
375. #14273699C23semidirect
376. #14273699C23semidirect
377. #14273699C23semidirect
378. #14273699C23semidirect
379. #14273699C23semidirect
380. #14273699C23semidirect
381. #14273698C23semidirect
382. #14273698C23semidirect
385. #14273697C23semidirect
386. #14273697C23semidirect
387. #14273697C23semidirect
388. #14273697C23semidirect
390. #14273695C23semidirect
391. #14273695C23semidirect
392. #14273695C23semidirect
393. #14273695C23semidirect
394. #14273695C23semidirect
395. #14273695C23semidirect
396. #14273695C23semidirect
397. #14273695C23semidirect
398. #14273695C23semidirect
399. #14273692C23semidirect
400. C4×D236C23semidirect
402. #14273689C23semidirect
403. C4×C22⋊D59C23semidirect
404. C4×C22⋊D59C23semidirect
405. C4×C22⋊D59C23semidirect
406. C4×C22⋊D59C23semidirect
407. C4×C22⋊D59C23semidirect
408. (C22⋊D59)⋊C4C23semidirect
409. (C22⋊D59)⋊C4C23semidirect
410. (C22⋊D59)⋊C4C23semidirect
411. (C22⋊D59)⋊C4C23semidirect
412. (C22⋊D59)⋊C4C23semidirect
413. #14273685C23semidirect
414. #14273685C23semidirect
415. #14273684C23semidirect
416. #14273684C23semidirect
417. #14273684C23semidirect
418. #14273683C23semidirect
439. C2×Dic59⋊C4C23semidirect
440. C4⋊C4×D59C23semidirect
479. C2×(C2×D59)⋊C4C23semidirect
480. C2×(C2×D59)⋊C4C23semidirect
481. C22⋊C4×D59C23semidirect
482. C22⋊C4×D59C23semidirect
483. C22⋊C4×D59C23semidirect
484. C22⋊C4×D59C23semidirect
506. #127×C59C23semidirect
507. #125×C59C23semidirect
508. #123×C59C23semidirect
509. #123×C59C23semidirect
510. #123×C59C23semidirect
511. #123×C59C23semidirect
512. #121×C59C23semidirect
513. #121×C59C23semidirect
514. #121×C59C23semidirect
515. #121×C59C23semidirect
516. #121×C59C23semidirect
517. #121×C59C23semidirect
518. C4×D4×C59C23semidirect
519. C4×D4×C59C23semidirect
520. #117×C59C23semidirect
1085. C2×#540D59semidirect
1102. C2×C59#3542semidirect
1143. #540C2×D59semidirect
1157. C2×#127C2×D59semidirect
1166. C2×#125C2×D59semidirect
1196. C2×#123C2×D59semidirect
1197. C2×#123C2×D59semidirect
1198. C2×#123C2×D59semidirect
1199. C2×#123C2×D59semidirect
1245. C2×#121C2×D59semidirect
1246. C2×#121C2×D59semidirect
1247. C2×#121C2×D59semidirect
1248. C2×#121C2×D59semidirect
1249. C2×#121C2×D59semidirect
1250. C2×#121C2×D59semidirect
1281. C2×C4×D4C2×D59semidirect
1282. C2×C4×D4C2×D59semidirect
1289. C2×#117C2×D59semidirect
1298. C59C2×#3542semidirect
1399. #127C22×D59semidirect
1408. #125C22×D59semidirect
1436. #123C22×D59semidirect
1437. #123C22×D59semidirect
1438. #123C22×D59semidirect
1439. #123C22×D59semidirect
1484. #121C22×D59semidirect
1485. #121C22×D59semidirect
1486. #121C22×D59semidirect
1487. #121C22×D59semidirect
1488. #121C22×D59semidirect
1489. #121C22×D59semidirect
1520. C4×D4C22×D59semidirect
1521. C4×D4C22×D59semidirect
1528. #117C22×D59semidirect
2155. C2#21438403direct (N × H)

Maximal subgroups

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

subgroupindex
#214384032
C2×#168381502
C2×#168381472
C2×#168381422
C2×#168381402
C2×#168381152
C2×#168381012
C2×#168380842
C2×#168380802
C2×#168380762
C2×#168380702
C2×#168380502
C2×#168380482
C2×#168380442
C2×#168380412
C2×#168380362
C2×#168380202
C2×#168380042
C2×#168380022
C2×#168379852
C2×#168379842
C2×#168379792
C2×#168379682
C2×#168379652
C2×#168379632
C2×#168379602
C2×#168379112
C2×#168379102
C2×#121×D592
C2×C59×#5402
C2×#354259