Finite Group Databasebeta

← C2×#13128669 #16770844

Subgroups — C2×#13128669 #16770844

Order 3328.

8082 conjugacy classes of subgroups.

The subgroup lattice has 2064 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13128669C2132yesmaximal, direct product factor
2C2×#11719245C211yesmaximal, characteristic, complemented
3C2×#11719245C211yesmaximal, characteristic, complemented
4C2×#11719219C211yesmaximal, characteristic, complemented
5C2×#11719306C211yesmaximal, characteristic, complemented
6C2×#11719306C211yesmaximal, characteristic, complemented
7C2×#11719413C211yesmaximal, characteristic, complemented
8C2×#11719398C211yesmaximal, characteristic, complemented
9C2×#11719261C211yesmaximal, characteristic, complemented
10C2×#11719364C211yesmaximal, characteristic, complemented
11C2×#11719410C211yesmaximal, characteristic, complemented
12C2×#11719232C211yesmaximal, characteristic, complemented
13C2×#11719257C211yesmaximal, characteristic, complemented
14C2×#11719303C211yesmaximal, characteristic, complemented
15C2×#11719359C211yesmaximal, characteristic, complemented
16C2×#11719315C211yesmaximal, characteristic, complemented
17C2×#11719397C211yesmaximal, characteristic, complemented
18C2×#11719365C211yesmaximal, characteristic, complemented
19C2×#11719409C211yesmaximal, characteristic, complemented
20C2×#11719318C211yesmaximal, characteristic, complemented
21C2×#11719310C211yesmaximal, characteristic, complemented
22C2×#11719310C211yesmaximal, characteristic, complemented
23C2×#11719411C211yesmaximal, characteristic, complemented
24C2×#11719233C211yesmaximal, characteristic, complemented
25C2×#11719252C211yesmaximal, characteristic, complemented
26C2×#11719361C211yesmaximal, characteristic, complemented
27C22×#88150C211yesmaximal, characteristic, complemented
28C2×D13×#121C211yesmaximal, characteristic, complemented
29C2×#11719250C211yesmaximal, characteristic, complemented
30C2×#11719250C211yesmaximal, characteristic, complemented
31C2×C4×D4×D13C211yesmaximal, characteristic, complemented
32C2×C13×#553C211yesmaximal, characteristic, complemented
33C22×#6129C2211yescharacteristic, complemented
34C22×D4×D13C2211yescharacteristic
35C22×D4×D13C2211yescharacteristic
36C22×D4×D13C2211yescharacteristic
37C22×D4×D13C2211yescharacteristic, complemented
38C22×#6127C2211yescharacteristic, complemented
39C23×C4×D13C2211yescharacteristic
40C23×C4×D13C2211yescharacteristic, complemented
41C23×Dic26C2211yescharacteristic, complemented
42C13×#553C22116yescomplemented
43C2×C13×#126C2211yescharacteristic, complemented
44C2×C13×#126C2211yescharacteristic, complemented
45C2×C13×#125C2211yescharacteristic, complemented
46C2×C13×#123C2211yescharacteristic, complemented
47C2×C13×#123C2211yescharacteristic, complemented
48C2×C13×#121C2211yescharacteristic, complemented
49C2×C13×#121C2211yescharacteristic, complemented
50C2×C13×#121C2211yescharacteristic, complemented
51C2×C13×#121C2211yescharacteristic, complemented
52C2×C4×D4×C13C2211yescharacteristic, complemented
53C2×C4×D4×C13C2211yescharacteristic, complemented
54C2×C4×D4×C13C2211yescharacteristic, complemented
55C2×C4×D4×C13C2211yescharacteristic, complemented
56C2×C13×#117C2211yescharacteristic, complemented
57C22×C13×C4⋊C4C2211yescharacteristic, complemented
58C2×#88193C2211yescharacteristic, complemented
59C2×#88193C2211yescharacteristic, complemented
60C2×#88193C2211yescharacteristic, complemented
61C2×#88193C2211yescharacteristic, complemented
62C2×#88193C2211yescharacteristic, complemented
63C2×#88193C2211yescharacteristic, complemented
64C2×#88193C2211yescharacteristic, complemented
65C2×#88193C2211yescharacteristic, complemented
66C2×#88192C2211yescharacteristic
67C2×#88191C2211yescharacteristic
68C2×#88191C2211yescharacteristic
69C2×#88191C2211yescharacteristic, complemented
70C2×#88191C2211yescharacteristic, complemented
71C2×#88190C2211yescharacteristic, complemented
72C2×#88189C2211yescharacteristic, complemented
73C2×#88189C2211yescharacteristic, complemented
74C2×D4×Dic13C2211yescharacteristic, complemented
75C2×D4×Dic13C2211yescharacteristic, complemented
76C2×D4×Dic13C2211yescharacteristic, complemented
77C2×#88184C2211yescharacteristic, complemented
78C2×#88184C2211yescharacteristic, complemented
79C2×#88184C2211yescharacteristic, complemented
80C2×#88183C2211yescharacteristic, complemented
81C2×#88183C2211yescharacteristic, complemented
82C2×C4×C22⋊D13C2211yescharacteristic
83C2×C4×C22⋊D13C2211yescharacteristic, complemented
84C2×C4×C22⋊D13C2211yescharacteristic, complemented
85C2×C4×C22⋊D13C2211yescharacteristic, complemented
86C2×C4×C22⋊D13C2211yescharacteristic, complemented
87C2×C4×C22⋊D13C2211yescharacteristic, complemented
88C2×C4×C22⋊D13C2211yescharacteristic, complemented
89C2×C4×C22⋊D13C2211yescharacteristic, complemented
90C22×#6103C2211yescharacteristic
91C22×#6103C2211yescharacteristic
92C22×#6103C2211yescharacteristic, complemented
93C22×#6103C2211yescharacteristic, complemented
94C2×#88178C2211yescharacteristic, complemented
95C22×#6101C2211yescharacteristic, complemented
96C22×#6101C2211yescharacteristic, complemented
97#11719413C22116yescomplemented
98#11719411C22116yescomplemented
99#11719410C22116yescomplemented
100#11719409C22116yescomplemented
101#11719398C22116yescomplemented
102#11719397C22116yescomplemented
103#11719365C22116yescomplemented
104#11719364C22116yescomplemented
105#11719361C22116yescomplemented
106#11719359C22116yescomplemented
107#11719318C22116yescomplemented
108#11719315C22116yescomplemented
109#11719310C22116yescomplemented
110#11719310C22116yescomplemented
111D13×#121C22116yescomplemented
112#11719306C22116yescomplemented
113#11719306C22116yescomplemented
114#11719303C22116yescomplemented
115#11719261C22116yescomplemented
116#11719257C22116yescomplemented
117#11719252C22116yescomplemented
118#11719250C22116yescomplemented
119#11719250C22116yescomplemented
120C4×D4×D13C22116yescomplemented
121#11719245C22116yescomplemented
122#11719245C22116yescomplemented
123#11719233C22116yescomplemented
124#11719232C22116yescomplemented
125#11719219C22116yescomplemented
126C2×#88152C2211yescharacteristic, complemented
127C2×#88152C2211yescharacteristic, complemented
128C2×#88152C2211yescharacteristic, complemented
129C2×#88152C2211yescharacteristic, complemented
130C2×#88151C2211yescharacteristic, complemented
131C2×#88150C2211yescharacteristic, complemented
132C2×#88150C2211yescharacteristic, complemented
133C2×#88150C2211yescharacteristic, complemented
134C2×#88150C2211yescharacteristic, complemented
135C2×#88150C2211yescharacteristic, complemented
136C2×#88150C2211yescharacteristic, complemented
137C2×#88150C2211yescharacteristic, complemented
138C2×#88150C2211yescharacteristic, complemented
139C2×#88150C2211yescharacteristic, complemented
140C2×#88150C2211yescharacteristic, complemented
141C2×#88150C22116yescomplemented
142C2×#88149C2211yescharacteristic
143C2×#88149C2211yescharacteristic, complemented
144C2×#88148C2211yescharacteristic
145C2×#88148C2211yescharacteristic
146C2×#88148C2211yescharacteristic, complemented
147C2×#88148C2211yescharacteristic, complemented
148C2×#88148C2211yescharacteristic, complemented
149C2×#88148C2211yescharacteristic, complemented
150C2×#88148C2211yescharacteristic, complemented
151C2×#88148C2211yescharacteristic, complemented
152C2×#88147C2211yescharacteristic
153C2×#88147C2211yescharacteristic, complemented
154C2×#88147C2211yescharacteristic, complemented
155C2×#88147C2211yescharacteristic, complemented
156C2×#88146C2211yescharacteristic, complemented
157C2×#88146C2211yescharacteristic, complemented
158C2×#88146C2211yescharacteristic, complemented
159C2×C4⋊C4×D13C2211yescharacteristic, complemented
160C2×C4⋊C4×D13C2211yescharacteristic, complemented
161C2×#88144C2211yescharacteristic, complemented
162C2×#88143C2211yescharacteristic, complemented
163C2×#88143C2211yescharacteristic, complemented
164C2×#88143C2211yescharacteristic, complemented
165C2×#88143C2211yescharacteristic, complemented
166C2×#88141C2211yescharacteristic, complemented
167C2×#88139C2211yescharacteristic, complemented
168C2×#88139C2211yescharacteristic, complemented
169C2×#88139C2211yescharacteristic, complemented
170C2×#88139C2211yescharacteristic, complemented
171C2×#88138C2211yescharacteristic
172C2×#88138C2211yescharacteristic
173C2×#88138C2211yescharacteristic, complemented
174C2×#88138C2211yescharacteristic, complemented
175C2×#88137C2211yescharacteristic
176C2×#88137C2211yescharacteristic
177C2×#88137C2211yescharacteristic, complemented
178C2×#88137C2211yescharacteristic, complemented
179C2×#88137C2211yescharacteristic, complemented
180C2×#88137C2211yescharacteristic, complemented
181C2×#88136C2211yescharacteristic
182C2×#88136C2211yescharacteristic
183C2×#88136C2211yescharacteristic, complemented
184C2×#88136C2211yescharacteristic, complemented
185C2×#88135C2211yescharacteristic
186C2×#88135C2211yescharacteristic, complemented
187C2×#88135C2211yescharacteristic, complemented
188C2×#88135C2211yescharacteristic, complemented
189C2×#88135C2211yescharacteristic, complemented
190C2×#88135C2211yescharacteristic, complemented
191C2×#88135C2211yescharacteristic, complemented
192C2×#88135C2211yescharacteristic, complemented
193C2×C22⋊C4×D13C2211yescharacteristic
194C2×C22⋊C4×D13C2211yescharacteristic, complemented
195C2×C22⋊C4×D13C2211yescharacteristic, complemented
196C2×C22⋊C4×D13C2211yescharacteristic, complemented
197C2×C22⋊C4×D13C2211yescharacteristic, complemented
198C2×C22⋊C4×D13C2211yescharacteristic, complemented
199C2×#88133C2211yescharacteristic, complemented
200C2×#88133C2211yescharacteristic, complemented
201C2×#88133C2211yescharacteristic, complemented
202C2×#88133C2211yescharacteristic, complemented
203C2×#88132C2211yescharacteristic, complemented
204C2×#88132C2211yescharacteristic, complemented
205C2×#88131C2211yescharacteristic, complemented
206C2×#88131C2211yescharacteristic, complemented
207C2×#88130C2211yescharacteristic, complemented
208C2×#88130C2211yescharacteristic, complemented
209C2×#88129C2211yescharacteristic, complemented
210C2×C4×D52C2211yescharacteristic
211C2×C4×D52C2211yescharacteristic, complemented
212C2×C4×D52C2211yescharacteristic, complemented
213C2×#88126C2211yescharacteristic, complemented
214C2×#88126C2211yescharacteristic, complemented
215C2×#88126C2211yescharacteristic, complemented
216C2×#88126C2211yescharacteristic, complemented
217C2×C42×D13C2211yescharacteristic, complemented
218C2×C4×Dic26C2211yescharacteristic, complemented
219C24×D13C2311yescharacteristic
220C24×D13C2311yescharacteristic
221C24×D13C2311yescharacteristic
222C24×D13C2311yescharacteristic
223C22×D4×C13C2311yescharacteristic
224C22×D4×C13C2311yescharacteristic
225C22×D4×C13C2311yescharacteristic
226C22×D4×C13C2311yescharacteristic
227C22×D4×C13C2311yescharacteristic
228C22×D4×C13C2311yescharacteristic
229C23×C4×C13C2311yescharacteristic
230C23×C4×C13C2311yescharacteristic
231C23×C4×C13C2311yescharacteristic
232C23×C4×C13C2311yescharacteristic
233C23×C4×C13C2311yescharacteristic
234C23×C4×C13C2311yescharacteristic
235C22×C22⋊D13C2311yescharacteristic
236C22×C22⋊D13C2311yescharacteristic
237C22×C22⋊D13C2311yescharacteristic
238C22×C22⋊D13C2311yescharacteristic
239C22×C22⋊D13C2311yescharacteristic
240C22×C22⋊D13C2311yescharacteristic
241C22×C22⋊D13C2311yescharacteristic
242C22×C22⋊D13C2311yescharacteristic
243C22×C22⋊D13C2311yescharacteristic
244C22×C22⋊D13C2311yescharacteristic
245C22×C22⋊D13C2311yescharacteristic
246C22×C22⋊D13C2311yescharacteristic
247C23×Dic13C2311yescharacteristic
248C23×Dic13C2311yescharacteristic
249C23×Dic13C2311yescharacteristic
250C23×Dic13C2311yescharacteristic
251C23×Dic13C2311yescharacteristic
252C23×Dic13C2311yescharacteristic
253C2×#6129—44no—
254C2×#6129C2318yescomplemented
255C2×D4×D13—28no—
256C2×D4×D13—28no—
257C2×D4×D13—28no—
258C2×D4×D13—44no—
259C2×D4×D13C2318yes—
260C2×D4×D13C2318yes—
261C2×D4×D13C2318yes—
262C2×D4×D13C2318yescomplemented
263C2×#6127—44no—
264C2×#6127C2318yescomplemented
265C22×D52C2311yescharacteristic
266C22×D52C2311yescharacteristic
267C22×D52C2311yescharacteristic
268C22×D52C2311yescharacteristic
269C22×D52C2311yescharacteristic
270C22×D52C2311yescharacteristic
271C22×C4×D13—44no—
272C22×C4×D13—44no—
273C22×C4×D13C2311yescharacteristic
274C22×C4×D13C2311yescharacteristic
275C22×C4×D13C2311yescharacteristic
276C22×C4×D13C2311yescharacteristic
277C22×C4×D13C2311yescharacteristic
278C22×C4×D13C2311yescharacteristic
279C22×C4×D13C2311yescharacteristic
280C22×C4×D13C2311yescharacteristic
281C22×C4×D13C2311yescharacteristic
282C22×C4×D13C2311yescharacteristic
283C22×C4×D13C2311yescharacteristic
284C22×C4×D13C2311yescharacteristic
285C22×C4×D13C2311yescharacteristic
286C22×C4×D13C2311yescharacteristic
287C22×C4×D13C2311yescharacteristic
288C22×C4×D13C2318yes—
289C22×C4×D13C2318yescomplemented
290C22×Dic26—44no—
291C22×Dic26C2311yescharacteristic
292C22×Dic26C2311yescharacteristic
293C22×Dic26C2311yescharacteristic
294C22×Dic26C2311yescharacteristic
295C22×Dic26C2318yescomplemented
296C13×#126C2318yescomplemented
297C13×#126C2318yescomplemented
298C13×#125C2318yescomplemented
299C13×#123C2318yescomplemented
300C13×#123C2318yescomplemented
301C13×#121C2318yescomplemented
302C13×#121C2318yescomplemented
303C13×#121C2318yescomplemented
304C13×#121C2318yescomplemented
305C4×D4×C13C2318yescomplemented
306C4×D4×C13C2318yescomplemented
307C4×D4×C13C2318yescomplemented
308C4×D4×C13C2318yescomplemented
309C13×#117C2318yescomplemented
310C2×C13×C4⋊C4C2311yescharacteristic
311C2×C13×C4⋊C4C2311yescharacteristic
312C2×C13×C4⋊C4C2311yescharacteristic
313C2×C13×C4⋊C4C2311yescharacteristic
314C2×C13×C4⋊C4C2311yescharacteristic
315C2×C13×C4⋊C4C2311yescharacteristic
316C2×C13×C4⋊C4C2311yescharacteristic
317C2×C13×C4⋊C4C2311yescharacteristic
318C2×C13×C4⋊C4C2311yescharacteristic
319C2×C13×C4⋊C4C2311yescharacteristic
320C2×C13×C4⋊C4C2318yescomplemented
321C2×C13×C22⋊C4C2311yescharacteristic
322C2×C13×C22⋊C4C2311yescharacteristic
323C2×C13×C22⋊C4C2311yescharacteristic
324C2×C13×C22⋊C4C2311yescharacteristic
325C2×C13×C22⋊C4C2311yescharacteristic
326C2×C13×C22⋊C4C2311yescharacteristic
327C2×C13×C22⋊C4C2311yescharacteristic
328C2×C13×C22⋊C4C2311yescharacteristic
329C2×C13×C22⋊C4C2311yescharacteristic
330C2×C13×C22⋊C4C2311yescharacteristic
331C2×C42×C13C2311yescharacteristic
332C2×C42×C13C2311yescharacteristic
333C2×C42×C13C2311yescharacteristic
334C2×C22⋊Dic13C2311yescharacteristic
335C2×C22⋊Dic13C2311yescharacteristic
336C2×C22⋊Dic13C2311yescharacteristic
337C2×C22⋊Dic13C2311yescharacteristic
338C2×C22⋊Dic13C2311yescharacteristic
339C2×C22⋊Dic13C2311yescharacteristic
340C2×C22⋊Dic13C2311yescharacteristic
341C2×C22⋊Dic13C2311yescharacteristic
342C2×C22⋊Dic13C2311yescharacteristic
343C2×C22⋊Dic13C2311yescharacteristic
344#88193C2318yescomplemented
345#88193C2318yescomplemented
346#88193C2318yescomplemented
347#88193C2318yescomplemented
348#88193C2318yescomplemented
349#88193C2318yescomplemented
350#88193C2318yescomplemented
351#88193C2318yescomplemented
352#88192C2318yes—
353#88191C2318yes—
354#88191C2318yes—
355#88191C2318yescomplemented
356#88191C2318yescomplemented
357#88190C2318yescomplemented
358#88189C2318yescomplemented
359#88189C2318yescomplemented
360D4×Dic13C2318yescomplemented
361D4×Dic13C2318yescomplemented
362D4×Dic13C2318yescomplemented
363#88184C2318yescomplemented
364#88184C2318yescomplemented
365#88184C2318yescomplemented
366#88183C2318yescomplemented
367#88183C2318yescomplemented
368C4×C22⋊D13C2318yes—
369C4×C22⋊D13C2318yescomplemented
370C4×C22⋊D13C2318yescomplemented
371C4×C22⋊D13C2318yescomplemented
372C4×C22⋊D13C2318yescomplemented
373C4×C22⋊D13C2318yescomplemented
374C4×C22⋊D13C2318yescomplemented
375C4×C22⋊D13C2318yescomplemented
376C2×#6103C2311yescharacteristic
377C2×#6103C2311yescharacteristic
378C2×#6103C2311yescharacteristic
379C2×#6103C2311yescharacteristic
380C2×#6103C2311yescharacteristic
381C2×#6103C2311yescharacteristic
382C2×#6103C2311yescharacteristic
383C2×#6103C2311yescharacteristic
384C2×#6103C2311yescharacteristic
385C2×#6103C2311yescharacteristic
386C2×#6103C2311yescharacteristic
387C2×#6103C2311yescharacteristic
388C2×#6103C2311yescharacteristic
389C2×#6103C2311yescharacteristic
390C2×#6103C2311yescharacteristic
391C2×#6103C2311yescharacteristic
392C2×#6103C2311yescharacteristic
393C2×#6103C2311yescharacteristic
394C2×#6103C2311yescharacteristic
395C2×#6103C2311yescharacteristic
396C2×#6103C2311yescharacteristic
397C2×#6103C2311yescharacteristic
398C2×#6103C2311yescharacteristic
399C2×#6103C2311yescharacteristic
400C2×#6103C2311yescharacteristic
401C2×#6103C2311yescharacteristic
402C2×#6103C2311yescharacteristic
403C2×#6103C2311yescharacteristic
404C2×#6103C2318yes—
405C2×#6103C2318yes—
406C2×#6103C2318yescomplemented
407C2×#6103C2318yescomplemented
408C2×C4⋊Dic13C2311yescharacteristic
409C2×C4⋊Dic13C2311yescharacteristic
410C2×C4⋊Dic13C2311yescharacteristic
411C2×C4⋊Dic13C2311yescharacteristic
412C2×C4⋊Dic13C2311yescharacteristic
413C2×C4⋊Dic13C2311yescharacteristic
414#88178C2318yescomplemented
415C2×#6101C2311yescharacteristic
416C2×#6101C2311yescharacteristic
417C2×#6101C2311yescharacteristic
418C2×#6101C2311yescharacteristic
419C2×#6101C2311yescharacteristic
420C2×#6101C2311yescharacteristic
421C2×#6101C2311yescharacteristic
422C2×#6101C2311yescharacteristic
423C2×#6101C2311yescharacteristic
424C2×#6101C2311yescharacteristic
425C2×#6101C2311yescharacteristic
426C2×#6101C2311yescharacteristic
427C2×#6101C2311yescharacteristic
428C2×#6101C2311yescharacteristic
429C2×#6101C2311yescharacteristic
430C2×#6101C2311yescharacteristic
431C2×#6101C2311yescharacteristic
432C2×#6101C2311yescharacteristic
433C2×#6101C2311yescharacteristic
434C2×#6101C2311yescharacteristic
435C2×#6101C2318yescomplemented
436C2×#6101C2318yescomplemented
437C2×C4×Dic13C2311yescharacteristic
438C2×C4×Dic13C2311yescharacteristic
439C2×C4×Dic13C2311yescharacteristic
440C2×C4×Dic13C2311yescharacteristic
441C2×C4×Dic13C2311yescharacteristic
442C2×C4×Dic13C2311yescharacteristic
443C2×C4×Dic13C2311yescharacteristic
444C2×C4×Dic13C2311yescharacteristic
445C2×C4×Dic13C2311yescharacteristic
446#88152C2318yescomplemented
447#88152C2318yescomplemented
448#88152C2318yescomplemented
449#88152C2318yescomplemented
450#88151C2318yescomplemented
451#88150C2318yescomplemented
452#88150C2318yescomplemented
453#88150C2318yescomplemented
454#88150C2318yescomplemented
455#88150C2318yescomplemented
456#88150C2318yescomplemented
457#88150C2318yescomplemented
458#88150C2318yescomplemented
459#88150C2318yescomplemented
460#88150C2318yescomplemented
461#88149C2318yes—
462#88149C2318yescomplemented
463#88148C2318yes—
464#88148C2318yes—
465#88148C2318yescomplemented
466#88148C2318yescomplemented
467#88148C2318yescomplemented
468#88148C2318yescomplemented
469#88148C2318yescomplemented
470#88148C2318yescomplemented
471#88147C2318yes—
472#88147C2318yescomplemented
473#88147C2318yescomplemented
474#88147C2318yescomplemented
475#88146C2318yescomplemented
476#88146C2318yescomplemented
477#88146C2318yescomplemented
478C4⋊C4×D13C2318yescomplemented
479C4⋊C4×D13C2318yescomplemented
480#88144C2318yescomplemented
481#88143C2318yescomplemented
482#88143C2318yescomplemented
483#88143C2318yescomplemented
484#88143C2318yescomplemented
485#88141C2318yescomplemented
486#88139C2318yescomplemented
487#88139C2318yescomplemented
488#88139C2318yescomplemented
489#88139C2318yescomplemented
490#88138C2318yes—
491#88138C2318yes—
492#88138C2318yescomplemented
493#88138C2318yescomplemented
494#88137C2318yes—
495#88137C2318yes—
496#88137C2318yescomplemented
497#88137C2318yescomplemented
498#88137C2318yescomplemented
499#88137C2318yescomplemented
500#88136C2318yes—
501#88136C2318yes—
502#88136C2318yescomplemented
503#88136C2318yescomplemented
504#88135C2318yes—
505#88135C2318yescomplemented
506#88135C2318yescomplemented
507#88135C2318yescomplemented
508#88135C2318yescomplemented
509#88135C2318yescomplemented
510#88135C2318yescomplemented
511#88135C2318yescomplemented
512C22⋊C4×D13C2318yes—
513C22⋊C4×D13C2318yescomplemented
514C22⋊C4×D13C2318yescomplemented
515C22⋊C4×D13C2318yescomplemented
516C22⋊C4×D13C2318yescomplemented
517C22⋊C4×D13C2318yescomplemented
518#88133C2318yescomplemented
519#88133C2318yescomplemented
520#88133C2318yescomplemented
521#88133C2318yescomplemented
522#88132C2318yescomplemented
523#88132C2318yescomplemented
524#88131C2318yescomplemented
525#88131C2318yescomplemented
526#88130C2318yescomplemented
527#88130C2318yescomplemented
528#88129C2318yescomplemented
529C4×D52C2318yes—
530C4×D52C2318yescomplemented
531C4×D52C2318yescomplemented
532#88126C2318yescomplemented
533#88126C2318yescomplemented
534#88126C2318yescomplemented
535#88126C2318yescomplemented
536C42×D13C2318yescomplemented
537C4×Dic26C2318yescomplemented
538C2×#3505—131nomaximal, Sylow
539C24×C13C2411yescharacteristic
540C24×C13C2411yescharacteristic
541C24×C13C2411yescharacteristic
542C24×C13C2411yescharacteristic
543C23×D13—24no—
544C23×D13—24no—
545C23×D13—24no—
546C23×D13—42no—
547C23×D13—42no—
548C23×D13—42no—
549C23×D13—42no—
550C23×D13—42no—
551C23×D13—42no—
552C23×D13—42no—
553C23×D13—42no—
554C23×D13#4118yescomplemented
555C23×D13C2411yescharacteristic
556C23×D13C2411yescharacteristic
557C23×D13C2411yescharacteristic
558C23×D13C2411yescharacteristic
559C23×D13C2411yescharacteristic
560C23×D13C2414yes—
561C23×D13C2414yes—
562C23×D13C2414yes—
563C23×D13C2414yes—
564C2×D4×C13—24no—
565C2×D4×C13—24no—
566C2×D4×C13—24no—
567C2×D4×C13—42no—
568C2×D4×C13—42no—
569C2×D4×C13—42no—
570C2×D4×C13C2414yes—
571C2×D4×C13C2414yes—
572C2×D4×C13C2414yes—
573C2×D4×C13C2414yes—
574C2×D4×C13C2414yes—
575C2×D4×C13C2414yes—
576C22×C4×C13—42no—
577C22×C4×C13—42no—
578C22×C4×C13—42no—
579C22×C4×C13—42no—
580C22×C4×C13—42no—
581C22×C4×C13—42no—
582C22×C4×C13C2411yescharacteristic
583C22×C4×C13C2411yescharacteristic
584C22×C4×C13C2411yescharacteristic
585C22×C4×C13C2411yescharacteristic
586C22×C4×C13C2411yescharacteristic
587C22×C4×C13C2411yescharacteristic
588C22×C4×C13C2411yescharacteristic
589C22×C4×C13C2411yescharacteristic
590C22×C4×C13C2411yescharacteristic
591C22×C4×C13C2411yescharacteristic
592C22×C4×C13C2411yescharacteristic
593C22×C4×C13C2414yes—
594C22×C4×C13C2414yes—
595C22×C4×C13C2414yes—
596C22×C4×C13C2414yes—
597C22×C4×C13C2414yes—
598C22×C4×C13C2414yes—
599C2×C22⋊D13—24no—
600C2×C22⋊D13—24no—
601C2×C22⋊D13—24no—
602C2×C22⋊D13—24no—
603C2×C22⋊D13—24no—
604C2×C22⋊D13—24no—
605C2×C22⋊D13—24no—
606C2×C22⋊D13—24no—
607C2×C22⋊D13—42no—
608C2×C22⋊D13—42no—
609C2×C22⋊D13—42no—
610C2×C22⋊D13—42no—
611C2×C22⋊D13C2414yes—
612C2×C22⋊D13C2414yes—
613C2×C22⋊D13C2414yes—
614C2×C22⋊D13C2414yes—
615C2×C22⋊D13C2414yes—
616C2×C22⋊D13C2414yes—
617C2×C22⋊D13C2414yes—
618C2×C22⋊D13C2414yes—
619C2×C22⋊D13C2414yes—
620C2×C22⋊D13C2414yes—
621C2×C22⋊D13C2414yes—
622C2×C22⋊D13C2414yes—
623C22×Dic13—24no—
624C22×Dic13—24no—
625C22×Dic13—42no—
626C22×Dic13—42no—
627C22×Dic13—42no—
628C22×Dic13—42no—
629C22×Dic13C2414yes—
630C22×Dic13C2414yes—
631C22×Dic13C2411yescharacteristic
632C22×Dic13C2411yescharacteristic
633C22×Dic13C2411yescharacteristic
634C22×Dic13C2411yescharacteristic
635C22×Dic13C2411yescharacteristic
636C22×Dic13C2411yescharacteristic
637C22×Dic13C2411yescharacteristic
638C22×Dic13C2411yescharacteristic
639C22×Dic13C2411yescharacteristic
640C22×Dic13C2411yescharacteristic
641C22×Dic13C2414yes—
642C22×Dic13C2414yes—
643C22×Dic13C2414yes—
644C22×Dic13C2414yes—
645C22×Dic13C2411yescharacteristic
646#6129—416no—
647D4×D13—232no—
648D4×D13—232no—
649D4×D13—232no—
650D4×D13—416no—
651#6127—416no—
652C2×D52—24no—
653C2×D52—24no—
654C2×D52—24no—
655C2×D52—42no—
656C2×D52—42no—
657C2×D52—42no—
658C2×D52C2414yes—
659C2×D52C2414yes—
660C2×D52C2414yes—
661C2×D52C2414yes—
662C2×D52C2414yes—
663C2×D52C2414yes—
664C2×C4×D13—24no—
665C2×C4×D13—24no—
666C2×C4×D13—24no—
667C2×C4×D13—24no—
668C2×C4×D13—24no—
669C2×C4×D13—24no—
670C2×C4×D13—416no—
671C2×C4×D13—416no—
672C2×C4×D13—42no—
673C2×C4×D13—42no—
674C2×C4×D13—42no—
675C2×C4×D13—42no—
676C2×C4×D13—42no—
677C2×C4×D13—42no—
678C2×C4×D13—42no—
679C2×C4×D13—42no—
680C2×C4×D13—42no—
681C2×C4×D13C2414yes—
682C2×C4×D13C2414yes—
683C2×C4×D13C2414yes—
684C2×C4×D13C2414yes—
685C2×C4×D13C2414yes—
686C2×C4×D13C2414yes—
687C2×C4×D13C2414yes—
688C2×C4×D13C2414yes—
689C2×C4×D13C2414yes—
690C2×C4×D13C2414yes—
691C2×C4×D13C2414yes—
692C2×C4×D13C2414yes—
693C2×C4×D13C2414yes—
694C2×C4×D13C2414yes—
695C2×C4×D13C2414yes—
696C2×Dic26—24no—
697C2×Dic26—24no—
698C2×Dic26—416no—
699C2×Dic26—42no—
700C2×Dic26—42no—
701C2×Dic26C2414yes—
702C2×Dic26C2414yes—
703C2×Dic26C2414yes—
704C2×Dic26C2414yes—
705C13×C4⋊C4C2414yes—
706C13×C4⋊C4C2414yes—
707C13×C4⋊C4C2414yes—
708C13×C4⋊C4C2414yes—
709C13×C4⋊C4C2414yes—
710C13×C4⋊C4C2414yes—
711C13×C4⋊C4C2414yes—
712C13×C4⋊C4C2414yes—
713C13×C4⋊C4C2414yes—
714C13×C4⋊C4C2414yes—
715C13×C22⋊C4C2414yes—
716C13×C22⋊C4C2414yes—
717C13×C22⋊C4C2414yes—
718C13×C22⋊C4C2414yes—
719C13×C22⋊C4C2414yes—
720C13×C22⋊C4C2414yes—
721C13×C22⋊C4C2414yes—
722C13×C22⋊C4C2414yes—
723C13×C22⋊C4C2414yes—
724C13×C22⋊C4C2414yes—
725C42×C13C2414yes—
726C42×C13C2414yes—
727C42×C13C2414yes—
728C22⋊Dic13C2414yes—
729C22⋊Dic13C2414yes—
730C22⋊Dic13C2414yes—
731C22⋊Dic13C2414yes—
732C22⋊Dic13C2414yes—
733C22⋊Dic13C2414yes—
734C22⋊Dic13C2414yes—
735C22⋊Dic13C2414yes—
736C22⋊Dic13C2414yes—
737C22⋊Dic13C2414yes—
738#6103C2414yes—
739#6103C2414yes—
740#6103C2414yes—
741#6103C2414yes—
742#6103C2414yes—
743#6103C2414yes—
744#6103C2414yes—
745#6103C2414yes—
746#6103C2414yes—
747#6103C2414yes—
748#6103C2414yes—
749#6103C2414yes—
750#6103C2414yes—
751#6103C2414yes—
752#6103C2414yes—
753#6103C2414yes—
754#6103C2414yes—
755#6103C2414yes—
756#6103C2414yes—
757#6103C2414yes—
758#6103C2414yes—
759#6103C2414yes—
760#6103C2414yes—
761#6103C2414yes—
762#6103C2414yes—
763#6103C2414yes—
764#6103C2414yes—
765#6103C2414yes—
766C4⋊Dic13C2414yes—
767C4⋊Dic13C2414yes—
768C4⋊Dic13C2414yes—
769C4⋊Dic13C2414yes—
770C4⋊Dic13C2414yes—
771C4⋊Dic13C2414yes—
772#6101C2414yes—
773#6101C2414yes—
774#6101C2414yes—
775#6101C2414yes—
776#6101C2414yes—
777#6101C2414yes—
778#6101C2414yes—
779#6101C2414yes—
780#6101C2414yes—
781#6101C2414yes—
782#6101C2414yes—
783#6101C2414yes—
784#6101C2414yes—
785#6101C2414yes—
786#6101C2414yes—
787#6101C2414yes—
788#6101C2414yes—
789#6101C2414yes—
790#6101C2414yes—
791#6101C2414yes—
792C4×Dic13C2414yes—
793C4×Dic13C2414yes—
794C4×Dic13C2414yes—
795C4×Dic13C2414yes—
796C4×Dic13C2414yes—
797C4×Dic13C2414yes—
798C4×Dic13C2414yes—
799C4×Dic13C2414yes—
800C4×Dic13C2414yes—
801#3505—1332no—
802C2×#553—131no—
803C2×#553—131no—
804C2×#553—131no—
805C2×#553—131no—
806C2×#553—131no—
807C2×#553D1311yescharacteristic, complemented
808C2×#552—131no—
809C2×#552—131no—
810C2×#551—131no—
811C2×#551—131no—
812C2×#551—131no—
813C2×#551—131no—
814C2×#548—131no—
815C2×#548—131no—
816C2×#546—131no—
817C2×#546—131no—
818C2×#539—131no—
819C2×#539—131no—
820C2×#538—131no—
821C2×#538—131no—
822C2×#534—131no—
823C2×#534—131no—
824C2×#529—131no—
825C2×#529—131no—
826C2×#525—131no—
827C2×#525—131no—
828C22×C22⋊Q8—131no—
829C22×#121—131no—
830C2×#518—131no—
831C2×#518—131no—
832C22×C4×D4—131no—
833C23×C13—22no—
834C23×C13—22no—
835C23×C13—22no—
836C23×C13—22no—
837C23×C13—22no—
838C23×C13—22no—
839C23×C13—22no—
840C23×C13—22no—
841C23×C13—22no—
842C23×C13—22no—
843C23×C13—22no—
844C23×C13C2×#4114yes—
845C23×C13C2512yes—
846C23×C13C2512yes—
847C23×C13C2512yes—
848C23×C13C2512yes—
849C23×C13C2511yescharacteristic
850C22×D13—22no—
851C22×D13—22no—
852C22×D13—22no—
853C22×D13—22no—
854C22×D13—22no—
855C22×D13—22no—
856C22×D13—22no—
857C22×D13—22no—
858C22×D13—22no—
859C22×D13—22no—
860C22×D13—22no—
861C22×D13—22no—
862C22×D13—22no—
863C22×D13—28no—
864C22×D13—28no—
865C22×D13—28no—
866C22×D13—44no—
867C22×D13—44no—
868C22×D13—416no—
869C22×D13—44no—
870C22×D13—44no—
871C22×D13—44no—
872C22×D13—44no—
873C22×D13—44no—
874C22×D13—44no—
875C22×D13—416no—
876C22×D13—88no—
877C22×D13—88no—
878C22×D13C2×#4114yes—
879C22×D13C2×#4114yes—
880C22×D13C2×#41116yescomplemented
881C22×D13C2512yes—
882C22×D13C2512yes—
883C22×D13C2512yes—
884C22×D13C2512yes—
885C22×D13C2512yes—
886D4×C13—28no—
887D4×C13—28no—
888D4×C13—28no—
889D4×C13—44no—
890D4×C13—44no—
891D4×C13—44no—
892C2×C4×C13—22no—
893C2×C4×C13—22no—
894C2×C4×C13—22no—
895C2×C4×C13—22no—
896C2×C4×C13—22no—
897C2×C4×C13—22no—
898C2×C4×C13—22no—
899C2×C4×C13—22no—
900C2×C4×C13—22no—
901C2×C4×C13—22no—
902C2×C4×C13—22no—
903C2×C4×C13—44no—
904C2×C4×C13—44no—
905C2×C4×C13—44no—
906C2×C4×C13—44no—
907C2×C4×C13—44no—
908C2×C4×C13—44no—
909C2×C4×C13C2512yes—
910C2×C4×C13C2512yes—
911C2×C4×C13C2512yes—
912C2×C4×C13C2512yes—
913C2×C4×C13C2512yes—
914C2×C4×C13C2512yes—
915C2×C4×C13C2512yes—
916C2×C4×C13C2512yes—
917C2×C4×C13C2512yes—
918C2×C4×C13C2512yes—
919C2×C4×C13C2512yes—
920C22⋊D13—28no—
921C22⋊D13—28no—
922C22⋊D13—28no—
923C22⋊D13—28no—
924C22⋊D13—28no—
925C22⋊D13—28no—
926C22⋊D13—28no—
927C22⋊D13—28no—
928C22⋊D13—44no—
929C22⋊D13—44no—
930C22⋊D13—44no—
931C22⋊D13—44no—
932C2×Dic13—22no—
933C2×Dic13—22no—
934C2×Dic13—22no—
935C2×Dic13—22no—
936C2×Dic13—22no—
937C2×Dic13—22no—
938C2×Dic13—22no—
939C2×Dic13—22no—
940C2×Dic13—22no—
941C2×Dic13—22no—
942C2×Dic13—28no—
943C2×Dic13—28no—
944C2×Dic13—44no—
945C2×Dic13—44no—
946C2×Dic13—44no—
947C2×Dic13—44no—
948C2×Dic13H(5,𝔽2)14yes—
949C2×Dic13C2512yes—
950C2×Dic13C2512yes—
951C2×Dic13C2512yes—
952C2×Dic13C2512yes—
953C2×Dic13C2512yes—
954C2×Dic13C2512yes—
955C2×Dic13C2512yes—
956C2×Dic13C2512yes—
957C2×Dic13C2512yes—
958C2×Dic13C2512yes—
959C2×Dic13C2512yes—
960D52—28no—
961D52—28no—
962D52—28no—
963D52—44no—
964D52—44no—
965D52—44no—
966C4×D13—28no—
967C4×D13—28no—
968C4×D13—28no—
969C4×D13—28no—
970C4×D13—28no—
971C4×D13—28no—
972C4×D13—44no—
973C4×D13—44no—
974C4×D13—44no—
975C4×D13—44no—
976C4×D13—44no—
977C4×D13—44no—
978C4×D13—44no—
979C4×D13—44no—
980C4×D13—44no—
981Dic26—28no—
982Dic26—28no—
983Dic26—44no—
984Dic26—44no—
985C22×#41—131no—
986C22×#41—131no—
987C23×Q8—131no—
988C23×D4—131no—
989C23×D4—131no—
990C23×D4—131no—
991C23×D4—131no—
992C24×C4—131no—
993C24×C4—131no—
994#553—1316no—
995#553—1316no—
996#553—1316no—
997#553—1316no—
998#553—1316no—
999#553C2×D13116yescomplemented
1000#552—1316no—
1001#552—1316no—
1002#551—1316no—
1003#551—1316no—
1004#551—1316no—
1005#551—1316no—
1006#548—1316no—
1007#548—1316no—
1008#546—1316no—
1009#546—1316no—
1010#539—1316no—
1011#539—1316no—
1012#538—1316no—
1013#538—1316no—
1014#534—1316no—
1015#534—1316no—
1016#529—1316no—
1017#529—1316no—
1018C2×#126—131no—
1019C2×#126—131no—
1020C2×#126—131no—
1021C2×#126—131no—
1022C2×#126—131no—
1023C2×#126—131no—
1024C2×#126—131no—
1025C2×#126—131no—
1026C2×#126—131no—
1027C2×#126—131no—
1028C2×#126C2×D1311yescharacteristic, complemented
1029C2×#126C2×D1311yescharacteristic, complemented
1030C2×#125—131no—
1031C2×#125—131no—
1032C2×#125—131no—
1033C2×#125—131no—
1034C2×#125—131no—
1035C2×#125C2×D1311yescharacteristic, complemented
1036C2×#124—131no—
1037C2×#124—131no—
1038C2×#124—131no—
1039C2×#124—131no—
1040C2×#124—131no—
1041C2×#124—131no—
1042#525—1316no—
1043#525—1316no—
1044C2×#123—131no—
1045C2×#123—131no—
1046C2×#123—131no—
1047C2×#123—131no—
1048C2×#123—131no—
1049C2×#123—131no—
1050C2×#123—131no—
1051C2×#123—131no—
1052C2×#123—131no—
1053C2×#123—131no—
1054C2×#123—131no—
1055C2×#123—131no—
1056C2×#123—131no—
1057C2×#123—131no—
1058C2×#123—131no—
1059C2×#123—131no—
1060C2×#123—131no—
1061C2×#123—131no—
1062C2×#123C2×D1311yescharacteristic, complemented
1063C2×#123C2×D1311yescharacteristic, complemented
1064C2×C22⋊Q8—131no—
1065C2×C22⋊Q8—131no—
1066C2×C22⋊Q8—131no—
1067C2×C22⋊Q8—131no—
1068C2×C22⋊Q8—131no—
1069C2×C22⋊Q8—131no—
1070C2×C22⋊Q8—131no—
1071C2×C22⋊Q8—131no—
1072C2×C22⋊Q8—131no—
1073C2×C22⋊Q8—131no—
1074C2×C22⋊Q8—131no—
1075C2×C22⋊Q8—131no—
1076C2×C22⋊Q8—1316no—
1077C2×C22⋊Q8—131no—
1078C2×C22⋊Q8—131no—
1079C2×#121—131no—
1080C2×#121—131no—
1081C2×#121—131no—
1082C2×#121—131no—
1083C2×#121—131no—
1084C2×#121—131no—
1085C2×#121—131no—
1086C2×#121—131no—
1087C2×#121—131no—
1088C2×#121—131no—
1089C2×#121—131no—
1090C2×#121—131no—
1091C2×#121—1316no—
1092C2×#121—131no—
1093C2×#121—131no—
1094C2×#121—131no—
1095C2×#121—131no—
1096C2×#121—131no—
1097C2×#121—131no—
1098C2×#121C2×D1311yescharacteristic, complemented
1099C2×#121C2×D1311yescharacteristic, complemented
1100C2×#121C2×D1311yescharacteristic, complemented
1101C2×#121C2×D1311yescharacteristic, complemented
1102C2×#120—131no—
1103C2×#120—131no—
1104C2×#120—131no—
1105C2×#120—131no—
1106C2×#120—131no—
1107C2×#120—131no—
1108C2×#120—131no—
1109C2×#120—131no—
1110#518—1316no—
1111#518—1316no—
1112C2×C4×Q8—131no—
1113C2×C4×Q8—131no—
1114C2×C4×D4—131no—
1115C2×C4×D4—131no—
1116C2×C4×D4—131no—
1117C2×C4×D4—131no—
1118C2×C4×D4—131no—
1119C2×C4×D4—131no—
1120C2×C4×D4—131no—
1121C2×C4×D4—131no—
1122C2×C4×D4—131no—
1123C2×C4×D4—131no—
1124C2×C4×D4—131no—
1125C2×C4×D4—1316no—
1126C2×C4×D4—131no—
1127C2×C4×D4—131no—
1128C2×C4×D4—131no—
1129C2×C4×D4—131no—
1130C2×C4×D4—131no—
1131C2×C4×D4—131no—
1132C2×C4×D4—131no—
1133C2×C4×D4—131no—
1134C2×C4×D4—131no—
1135C2×C4×D4—131no—
1136C2×C4×D4—131no—
1137C2×C4×D4—131no—
1138C2×C4×D4—131no—
1139C2×C4×D4—131no—
1140C2×C4×D4—131no—
1141C2×C4×D4C2×D1311yescharacteristic, complemented
1142C2×C4×D4C2×D1311yescharacteristic, complemented
1143C2×C4×D4C2×D1311yescharacteristic, complemented
1144C2×C4×D4C2×D1311yescharacteristic, complemented
1145C2×#117—131no—
1146C2×#117—131no—
1147C2×#117—131no—
1148C2×#117—131no—
1149C2×#117—131no—
1150C2×#117—131no—
1151C2×#117—131no—
1152C2×#117—131no—
1153C2×#117—131no—
1154C2×#117C2×D1311yescharacteristic, complemented
1155C22×C4⋊C4—131no—
1156C22×C4⋊C4—131no—
1157C22×C4⋊C4—131no—
1158C22×C4⋊C4—131no—
1159C22×C4⋊C4C2×D1311yescharacteristic, complemented
1160C22×C22⋊C4—131no—
1161C22×C22⋊C4—131no—
1162C22×C22⋊C4—131no—
1163C22×C22⋊C4—131no—
1164C22×C22⋊C4—131no—
1165C22×C22⋊C4—131no—
1166C22×C22⋊C4—131no—
1167C22×C22⋊C4—131no—
1168C22×C22⋊C4—131no—
1169C22×C22⋊C4—131no—
1170C22×C42—131no—
1171C22×C13—22no—
1172C22×C13—22no—
1173C22×C13—28no—
1174C22×C13—22no—
1175C22×C13—22no—
1176C22×C13—22no—
1177C22×C13—22no—
1178C22×C13—22no—
1179C22×C13—22no—
1180C22×C13—22no—
1181C22×C13—22no—
1182C22×C13—22no—
1183C22×C13—44no—
1184C22×C13—44no—
1185C22×C13—44no—
1186C22×C13C22×#4114yes—
1187C22×C13C22×#4112yes—
1188C22×C13C2×H(5,𝔽2)12yes—
1189C22×C13#58512yes—
1190C22×C13C2611yescharacteristic
1191C2×D13—22no—
1192C2×D13—22no—
1193C2×D13—22no—
1194C2×D13—22no—
1195C2×D13—28no—
1196C2×D13—28no—
1197C2×D13—22no—
1198C2×D13—22no—
1199C2×D13—22no—
1200C2×D13—22no—
1201C2×D13—22no—
1202C2×D13—22no—
1203C2×D13—22no—
1204C2×D13—22no—
1205C2×D13—22no—
1206C2×D13—416no—
1207C2×D13—416no—
1208C2×D13—44no—
1209C2×D13—44no—
1210C2×D13—44no—
1211C2×D13—88no—
1212C2×D13—88no—
1213C2×D13C22×#4114yes—
1214C2×D13C22×#4114yes—
1215C4×C13—22no—
1216C4×C13—22no—
1217C4×C13—22no—
1218C4×C13—22no—
1219C4×C13—22no—
1220C4×C13—22no—
1221C4×C13—22no—
1222C4×C13—22no—
1223C4×C13—22no—
1224C4×C13—22no—
1225C4×C13—22no—
1226Dic13—22no—
1227Dic13—22no—
1228Dic13—22no—
1229Dic13—22no—
1230Dic13—22no—
1231Dic13—22no—
1232Dic13—22no—
1233Dic13—22no—
1234Dic13—22no—
1235Dic13—22no—
1236Dic13C2×H(5,𝔽2)14yes—
1237C25—131no—
1238C25—131no—
1239C25—131no—
1240C25—131no—
1241C2×#41—138no—
1242C2×#41—138no—
1243C2×#41—524no—
1244C2×#41—524no—
1245C22×Q8—131no—
1246C22×Q8—131no—
1247C22×Q8—131no—
1248C22×Q8—131no—
1249C22×Q8—138no—
1250C22×Q8—524no—
1251C22×D4—131no—
1252C22×D4—131no—
1253C22×D4—131no—
1254C22×D4—131no—
1255C22×D4—131no—
1256C22×D4—131no—
1257C22×D4—131no—
1258C22×D4—131no—
1259C22×D4—131no—
1260C22×D4—131no—
1261C22×D4—131no—
1262C22×D4—131no—
1263C22×D4—138no—
1264C22×D4—138no—
1265C22×D4—138no—
1266C22×D4—138no—
1267C22×D4—131no—
1268C22×D4—131no—
1269C22×D4—131no—
1270C22×D4—131no—
1271C22×D4—131no—
1272C22×D4—131no—
1273C22×D4—268no—
1274C22×D4—268no—
1275C22×D4—268no—
1276C22×D4—524no—
1277C22×D4C22×D1311yescharacteristic
1278C22×D4C22×D1311yescharacteristic
1279C22×D4C22×D1311yescharacteristic
1280C22×D4C22×D1311yescharacteristic
1281C22×D4C22×D1311yescharacteristic
1282C22×D4C22×D1311yescharacteristic
1283C23×C4—131no—
1284C23×C4—131no—
1285C23×C4—131no—
1286C23×C4—131no—
1287C23×C4—131no—
1288C23×C4—131no—
1289C23×C4—131no—
1290C23×C4—131no—
1291C23×C4—131no—
1292C23×C4—131no—
1293C23×C4—131no—
1294C23×C4—131no—
1295C23×C4—131no—
1296C23×C4—131no—
1297C23×C4—131no—
1298C23×C4—131no—
1299C23×C4—131no—
1300C23×C4—131no—
1301C23×C4—131no—
1302C23×C4—131no—
1303C23×C4—131no—
1304C23×C4—138no—
1305C23×C4—138no—
1306C23×C4—524no—
1307C23×C4—524no—
1308C23×C4C22×D1311yescharacteristic
1309C23×C4C22×D1311yescharacteristic
1310C23×C4C22×D1311yescharacteristic
1311C23×C4C22×D1311yescharacteristic
1312C23×C4C22×D1311yescharacteristic
1313C23×C4C22×D1311yescharacteristic
1314#126—138no—
1315#126—138no—
1316#126—138no—
1317#126—138no—
1318#126—138no—
1319#126—138no—
1320#126—138no—
1321#126—138no—
1322#126—138no—
1323#126—138no—
1324#126C22×D1318yescomplemented
1325#126C22×D1318yescomplemented
1326#125—138no—
1327#125—138no—
1328#125—138no—
1329#125—138no—
1330#125—138no—
1331#125C22×D1318yescomplemented
1332#124—138no—
1333#124—138no—
1334#124—138no—
1335#124—138no—
1336#124—138no—
1337#124—138no—
1338#123—138no—
1339#123—138no—
1340#123—138no—
1341#123—138no—
1342#123—138no—
1343#123—138no—
1344#123—138no—
1345#123—138no—
1346#123—138no—
1347#123—138no—
1348#123—138no—
1349#123—138no—
1350#123—138no—
1351#123—138no—
1352#123—138no—
1353#123—138no—
1354#123—138no—
1355#123—138no—
1356#123C22×D1318yescomplemented
1357#123C22×D1318yescomplemented
1358C22⋊Q8—138no—
1359C22⋊Q8—138no—
1360C22⋊Q8—138no—
1361C22⋊Q8—138no—
1362C22⋊Q8—138no—
1363C22⋊Q8—138no—
1364C22⋊Q8—138no—
1365C22⋊Q8—138no—
1366C22⋊Q8—138no—
1367C22⋊Q8—138no—
1368C22⋊Q8—138no—
1369C22⋊Q8—138no—
1370C22⋊Q8—138no—
1371C22⋊Q8—138no—
1372#121—138no—
1373#121—138no—
1374#121—138no—
1375#121—138no—
1376#121—138no—
1377#121—138no—
1378#121—138no—
1379#121—138no—
1380#121—138no—
1381#121—138no—
1382#121—138no—
1383#121—138no—
1384#121—138no—
1385#121—138no—
1386#121—138no—
1387#121—138no—
1388#121—138no—
1389#121—138no—
1390#121C22×D1318yescomplemented
1391#121C22×D1318yescomplemented
1392#121C22×D1318yescomplemented
1393#121C22×D1318yescomplemented
1394#120—138no—
1395#120—138no—
1396#120—138no—
1397#120—138no—
1398#120—138no—
1399#120—138no—
1400#120—138no—
1401#120—138no—
1402C4×Q8—138no—
1403C4×Q8—138no—
1404C4×D4—138no—
1405C4×D4—138no—
1406C4×D4—138no—
1407C4×D4—138no—
1408C4×D4—138no—
1409C4×D4—138no—
1410C4×D4—138no—
1411C4×D4—138no—
1412C4×D4—138no—
1413C4×D4—138no—
1414C4×D4—138no—
1415C4×D4—138no—
1416C4×D4—138no—
1417C4×D4—138no—
1418C4×D4—138no—
1419C4×D4—138no—
1420C4×D4—138no—
1421C4×D4—138no—
1422C4×D4—138no—
1423C4×D4—138no—
1424C4×D4—138no—
1425C4×D4—138no—
1426C4×D4—138no—
1427C4×D4—138no—
1428C4×D4—138no—
1429C4×D4—138no—
1430C4×D4C22×D1318yescomplemented
1431C4×D4C22×D1318yescomplemented
1432C4×D4C22×D1318yescomplemented
1433C4×D4C22×D1318yescomplemented
1434#117—138no—
1435#117—138no—
1436#117—138no—
1437#117—138no—
1438#117—138no—
1439#117—138no—
1440#117—138no—
1441#117—138no—
1442#117—138no—
1443#117C22×D1318yescomplemented
1444C2×C4⋊C4—131no—
1445C2×C4⋊C4—131no—
1446C2×C4⋊C4—131no—
1447C2×C4⋊C4—131no—
1448C2×C4⋊C4—131no—
1449C2×C4⋊C4—131no—
1450C2×C4⋊C4—131no—
1451C2×C4⋊C4—131no—
1452C2×C4⋊C4—131no—
1453C2×C4⋊C4—131no—
1454C2×C4⋊C4—131no—
1455C2×C4⋊C4—131no—
1456C2×C4⋊C4—131no—
1457C2×C4⋊C4—131no—
1458C2×C4⋊C4—138no—
1459C2×C4⋊C4—138no—
1460C2×C4⋊C4—131no—
1461C2×C4⋊C4—131no—
1462C2×C4⋊C4—131no—
1463C2×C4⋊C4—131no—
1464C2×C4⋊C4—131no—
1465C2×C4⋊C4—131no—
1466C2×C4⋊C4—131no—
1467C2×C4⋊C4—131no—
1468C2×C4⋊C4—131no—
1469C2×C4⋊C4—131no—
1470C2×C4⋊C4—131no—
1471C2×C4⋊C4—131no—
1472C2×C4⋊C4—138no—
1473C2×C4⋊C4—138no—
1474C2×C4⋊C4C22×D1311yescharacteristic
1475C2×C4⋊C4C22×D1311yescharacteristic
1476C2×C4⋊C4C22×D1311yescharacteristic
1477C2×C4⋊C4C22×D1311yescharacteristic
1478C2×C4⋊C4C22×D1311yescharacteristic
1479C2×C4⋊C4C22×D1311yescharacteristic
1480C2×C4⋊C4C22×D1311yescharacteristic
1481C2×C4⋊C4C22×D1311yescharacteristic
1482C2×C4⋊C4C22×D1311yescharacteristic
1483C2×C4⋊C4C22×D1311yescharacteristic
1484C2×C4⋊C4C22×D1318yescomplemented
1485C2×C22⋊C4—131no—
1486C2×C22⋊C4—131no—
1487C2×C22⋊C4—131no—
1488C2×C22⋊C4—131no—
1489C2×C22⋊C4—131no—
1490C2×C22⋊C4—131no—
1491C2×C22⋊C4—131no—
1492C2×C22⋊C4—131no—
1493C2×C22⋊C4—131no—
1494C2×C22⋊C4—131no—
1495C2×C22⋊C4—131no—
1496C2×C22⋊C4—131no—
1497C2×C22⋊C4—131no—
1498C2×C22⋊C4—131no—
1499C2×C22⋊C4—131no—
1500C2×C22⋊C4—131no—
1501C2×C22⋊C4—131no—
1502C2×C22⋊C4—131no—
1503C2×C22⋊C4—131no—
1504C2×C22⋊C4—131no—
1505C2×C22⋊C4—131no—
1506C2×C22⋊C4—131no—
1507C2×C22⋊C4—131no—
1508C2×C22⋊C4—131no—
1509C2×C22⋊C4—131no—
1510C2×C22⋊C4—131no—
1511C2×C22⋊C4—131no—
1512C2×C22⋊C4—131no—
1513C2×C22⋊C4—138no—
1514C2×C22⋊C4—138no—
1515C2×C22⋊C4—138no—
1516C2×C22⋊C4—138no—
1517C2×C22⋊C4—131no—
1518C2×C22⋊C4—131no—
1519C2×C22⋊C4—131no—
1520C2×C22⋊C4—131no—
1521C2×C22⋊C4—131no—
1522C2×C22⋊C4—131no—
1523C2×C22⋊C4—131no—
1524C2×C22⋊C4—131no—
1525C2×C22⋊C4—131no—
1526C2×C22⋊C4—131no—
1527C2×C22⋊C4—138no—
1528C2×C22⋊C4—138no—
1529C2×C22⋊C4—138no—
1530C2×C22⋊C4—138no—
1531C2×C22⋊C4—138no—
1532C2×C22⋊C4—138no—
1533C2×C22⋊C4C22×D1311yescharacteristic
1534C2×C22⋊C4C22×D1311yescharacteristic
1535C2×C22⋊C4C22×D1311yescharacteristic
1536C2×C22⋊C4C22×D1311yescharacteristic
1537C2×C22⋊C4C22×D1311yescharacteristic
1538C2×C22⋊C4C22×D1311yescharacteristic
1539C2×C22⋊C4C22×D1311yescharacteristic
1540C2×C22⋊C4C22×D1311yescharacteristic
1541C2×C22⋊C4C22×D1311yescharacteristic
1542C2×C22⋊C4C22×D1311yescharacteristic
1543C2×C42—131no—
1544C2×C42—131no—
1545C2×C42—131no—
1546C2×C42—131no—
1547C2×C42—131no—
1548C2×C42—131no—
1549C2×C42—131no—
1550C2×C42—131no—
1551C2×C42—131no—
1552C2×C42—138no—
1553C2×C42C22×D1311yescharacteristic
1554C2×C42C22×D1311yescharacteristic
1555C2×C42C22×D1311yescharacteristic
1556C2×C13—24no—
1557C2×C13—42no—
1558C2×C13—42no—
1559C2×C13—42no—
1560C2×C13#350514yescomplemented
1561C2×C13C23×#4111yescharacteristic
1562C2×C13C22×H(5,𝔽2)11yescharacteristic
1563C2×C13C2×#58511yescharacteristic
1564D13—24no—
1565D13—24no—
1566D13—42no—
1567D13—42no—
1568D13—42no—
1569C24—131no—
1570C24—131no—
1571C24—138no—
1572C24—134no—
1573C24—131no—
1574C24—131no—
1575C24—131no—
1576C24—134no—
1577C24—134no—
1578C24—134no—
1579C24—264no—
1580C24—264no—
1581C24—264no—
1582C24—522no—
1583C24—522no—
1584C24—522no—
1585C24—522no—
1586C24—522no—
1587C24—522no—
1588C24—522no—
1589C24—522no—
1590C24C23×D1311yescharacteristic
1591C24C23×D1311yescharacteristic
1592C24C23×D1311yescharacteristic
1593C24C23×D1311yescharacteristic
1594#41—5216no—
1595#41—5216no—
1596C2×Q8—134no—
1597C2×Q8—134no—
1598C2×Q8—134no—
1599C2×Q8—134no—
1600C2×Q8—264no—
1601C2×Q8—264no—
1602C2×Q8—522no—
1603C2×Q8—522no—
1604C2×Q8—5216no—
1605C2×D4—24no—
1606C2×D4—24no—
1607C2×D4—24no—
1608C2×D4—42no—
1609C2×D4—42no—
1610C2×D4—42no—
1611C2×D4—134no—
1612C2×D4—134no—
1613C2×D4—134no—
1614C2×D4—134no—
1615C2×D4—134no—
1616C2×D4—134no—
1617C2×D4—134no—
1618C2×D4—134no—
1619C2×D4—134no—
1620C2×D4—134no—
1621C2×D4—134no—
1622C2×D4—134no—
1623C2×D4—134no—
1624C2×D4—134no—
1625C2×D4—134no—
1626C2×D4—134no—
1627C2×D4—134no—
1628C2×D4—134no—
1629C2×D4—264no—
1630C2×D4—264no—
1631C2×D4—264no—
1632C2×D4—264no—
1633C2×D4—264no—
1634C2×D4—2632no—
1635C2×D4—2632no—
1636C2×D4—2632no—
1637C2×D4—264no—
1638C2×D4—264no—
1639C2×D4—264no—
1640C2×D4—264no—
1641C2×D4—264no—
1642C2×D4—264no—
1643C2×D4—522no—
1644C2×D4—522no—
1645C2×D4—522no—
1646C2×D4—5216no—
1647C2×D4—522no—
1648C2×D4—522no—
1649C2×D4—522no—
1650C2×D4—522no—
1651C2×D4C23×D1314yes—
1652C2×D4C23×D1314yes—
1653C2×D4C23×D1314yes—
1654C2×D4C23×D1314yes—
1655C2×D4C23×D1314yes—
1656C2×D4C23×D1314yes—
1657C22×C4—42no—
1658C22×C4—42no—
1659C22×C4—42no—
1660C22×C4—42no—
1661C22×C4—42no—
1662C22×C4—42no—
1663C22×C4—131no—
1664C22×C4—134no—
1665C22×C4—134no—
1666C22×C4—131no—
1667C22×C4—131no—
1668C22×C4—131no—
1669C22×C4—131no—
1670C22×C4—131no—
1671C22×C4—131no—
1672C22×C4—131no—
1673C22×C4—131no—
1674C22×C4—131no—
1675C22×C4—131no—
1676C22×C4—134no—
1677C22×C4—134no—
1678C22×C4—134no—
1679C22×C4—134no—
1680C22×C4—134no—
1681C22×C4—134no—
1682C22×C4—134no—
1683C22×C4—134no—
1684C22×C4—134no—
1685C22×C4—134no—
1686C22×C4—134no—
1687C22×C4—134no—
1688C22×C4—134no—
1689C22×C4—134no—
1690C22×C4—134no—
1691C22×C4—134no—
1692C22×C4—134no—
1693C22×C4—134no—
1694C22×C4—134no—
1695C22×C4—264no—
1696C22×C4—264no—
1697C22×C4—264no—
1698C22×C4—264no—
1699C22×C4—264no—
1700C22×C4—264no—
1701C22×C4—264no—
1702C22×C4—264no—
1703C22×C4—522no—
1704C22×C4—522no—
1705C22×C4—522no—
1706C22×C4—522no—
1707C22×C4—522no—
1708C22×C4—522no—
1709C22×C4—522no—
1710C22×C4—522no—
1711C22×C4—522no—
1712C22×C4—5216no—
1713C22×C4—5216no—
1714C22×C4—522no—
1715C22×C4—522no—
1716C22×C4—522no—
1717C22×C4—522no—
1718C22×C4C23×D1311yescharacteristic
1719C22×C4C23×D1311yescharacteristic
1720C22×C4C23×D1311yescharacteristic
1721C22×C4C23×D1311yescharacteristic
1722C22×C4C23×D1311yescharacteristic
1723C22×C4C23×D1311yescharacteristic
1724C22×C4C23×D1311yescharacteristic
1725C22×C4C23×D1311yescharacteristic
1726C22×C4C23×D1311yescharacteristic
1727C22×C4C23×D1311yescharacteristic
1728C22×C4C23×D1311yescharacteristic
1729C22×C4C23×D1314yes—
1730C22×C4C23×D1314yes—
1731C22×C4C23×D1314yes—
1732C22×C4C23×D1314yes—
1733C22×C4C23×D1314yes—
1734C22×C4C23×D1314yes—
1735C4⋊C4—134no—
1736C4⋊C4—134no—
1737C4⋊C4—134no—
1738C4⋊C4—134no—
1739C4⋊C4—134no—
1740C4⋊C4—134no—
1741C4⋊C4—134no—
1742C4⋊C4—134no—
1743C4⋊C4—134no—
1744C4⋊C4—134no—
1745C4⋊C4—134no—
1746C4⋊C4—134no—
1747C4⋊C4—134no—
1748C4⋊C4—134no—
1749C4⋊C4—134no—
1750C4⋊C4—134no—
1751C4⋊C4—134no—
1752C4⋊C4—134no—
1753C4⋊C4—134no—
1754C4⋊C4—134no—
1755C4⋊C4—134no—
1756C4⋊C4—134no—
1757C4⋊C4—134no—
1758C4⋊C4—134no—
1759C4⋊C4—134no—
1760C4⋊C4—134no—
1761C4⋊C4C23×D1314yes—
1762C4⋊C4C23×D1314yes—
1763C4⋊C4C23×D1314yes—
1764C4⋊C4C23×D1314yes—
1765C4⋊C4C23×D1314yes—
1766C4⋊C4C23×D1314yes—
1767C4⋊C4C23×D1314yes—
1768C4⋊C4C23×D1314yes—
1769C4⋊C4C23×D1314yes—
1770C4⋊C4C23×D1314yes—
1771C22⋊C4—134no—
1772C22⋊C4—134no—
1773C22⋊C4—134no—
1774C22⋊C4—134no—
1775C22⋊C4—134no—
1776C22⋊C4—134no—
1777C22⋊C4—134no—
1778C22⋊C4—134no—
1779C22⋊C4—134no—
1780C22⋊C4—134no—
1781C22⋊C4—134no—
1782C22⋊C4—134no—
1783C22⋊C4—134no—
1784C22⋊C4—134no—
1785C22⋊C4—134no—
1786C22⋊C4—134no—
1787C22⋊C4—134no—
1788C22⋊C4—134no—
1789C22⋊C4—134no—
1790C22⋊C4—134no—
1791C22⋊C4—134no—
1792C22⋊C4—134no—
1793C22⋊C4—134no—
1794C22⋊C4—134no—
1795C22⋊C4—134no—
1796C22⋊C4—134no—
1797C22⋊C4—134no—
1798C22⋊C4—134no—
1799C22⋊C4—134no—
1800C22⋊C4—134no—
1801C22⋊C4—134no—
1802C22⋊C4—134no—
1803C22⋊C4—134no—
1804C22⋊C4—134no—
1805C22⋊C4—134no—
1806C22⋊C4—134no—
1807C22⋊C4—134no—
1808C22⋊C4—134no—
1809C22⋊C4C23×D1314yes—
1810C22⋊C4C23×D1314yes—
1811C22⋊C4C23×D1314yes—
1812C22⋊C4C23×D1314yes—
1813C22⋊C4C23×D1314yes—
1814C22⋊C4C23×D1314yes—
1815C22⋊C4C23×D1314yes—
1816C22⋊C4C23×D1314yes—
1817C22⋊C4C23×D1314yes—
1818C22⋊C4C23×D1314yes—
1819C42—134no—
1820C42—134no—
1821C42—134no—
1822C42—134no—
1823C42—134no—
1824C42—134no—
1825C42—134no—
1826C42—134no—
1827C42—134no—
1828C42C23×D1314yes—
1829C42C23×D1314yes—
1830C42C23×D1314yes—
1831C13C2×#350511yescharacteristic, complemented, Sylow
1832C23—22no—
1833C23—22no—
1834C23—22no—
1835C23—22no—
1836C23—22no—
1837C23—22no—
1838C23—22no—
1839C23—22no—
1840C23—22no—
1841C23—22no—
1842C23—22no—
1843C23—134no—
1844C23—134no—
1845C23—132no—
1846C23—132no—
1847C23—1316no—
1848C23—132no—
1849C23—132no—
1850C23—132no—
1851C23—268no—
1852C23—268no—
1853C23—268no—
1854C23—262no—
1855C23—262no—
1856C23—262no—
1857C23—262no—
1858C23—262no—
1859C23—262no—
1860C23—262no—
1861C23—262no—
1862C23—262no—
1863C23—262no—
1864C23—262no—
1865C23—262no—
1866C23—262no—
1867C23—524no—
1868C23—524no—
1869C23—524no—
1870C23—5216no—
1871C23—524no—
1872C23—524no—
1873C23—524no—
1874C23—524no—
1875C23—524no—
1876C23—5216no—
1877C23—1048no—
1878C23—1048no—
1879C23#41×D1314yes—
1880C23C24×D1312yes—
1881C23C24×D1312yes—
1882C23C24×D1312yes—
1883C23C24×D1312yes—
1884C23C24×D1311yescharacteristic
1885Q8—268no—
1886Q8—268no—
1887Q8—524no—
1888Q8—524no—
1889D4—28no—
1890D4—28no—
1891D4—28no—
1892D4—44no—
1893D4—44no—
1894D4—44no—
1895D4—268no—
1896D4—268no—
1897D4—268no—
1898D4—268no—
1899D4—268no—
1900D4—268no—
1901D4—268no—
1902D4—268no—
1903D4—268no—
1904D4—268no—
1905D4—268no—
1906D4—524no—
1907D4—524no—
1908D4—524no—
1909D4—524no—
1910D4—524no—
1911D4—524no—
1912D4—524no—
1913C2×C4—22no—
1914C2×C4—22no—
1915C2×C4—22no—
1916C2×C4—22no—
1917C2×C4—22no—
1918C2×C4—22no—
1919C2×C4—22no—
1920C2×C4—22no—
1921C2×C4—22no—
1922C2×C4—22no—
1923C2×C4—22no—
1924C2×C4—44no—
1925C2×C4—44no—
1926C2×C4—44no—
1927C2×C4—44no—
1928C2×C4—44no—
1929C2×C4—44no—
1930C2×C4—134no—
1931C2×C4—132no—
1932C2×C4—132no—
1933C2×C4—132no—
1934C2×C4—132no—
1935C2×C4—132no—
1936C2×C4—132no—
1937C2×C4—132no—
1938C2×C4—132no—
1939C2×C4—132no—
1940C2×C4—132no—
1941C2×C4—132no—
1942C2×C4—268no—
1943C2×C4—268no—
1944C2×C4—268no—
1945C2×C4—268no—
1946C2×C4—268no—
1947C2×C4—268no—
1948C2×C4—268no—
1949C2×C4—268no—
1950C2×C4—262no—
1951C2×C4—262no—
1952C2×C4—262no—
1953C2×C4—262no—
1954C2×C4—262no—
1955C2×C4—262no—
1956C2×C4—262no—
1957C2×C4—262no—
1958C2×C4—262no—
1959C2×C4—262no—
1960C2×C4—524no—
1961C2×C4—524no—
1962C2×C4—524no—
1963C2×C4—524no—
1964C2×C4—524no—
1965C2×C4—524no—
1966C2×C4—524no—
1967C2×C4—524no—
1968C2×C4—524no—
1969C2×C4—524no—
1970C2×C4—524no—
1971C2×C4—524no—
1972C2×C4—524no—
1973C2×C4C24×D1312yes—
1974C2×C4C24×D1312yes—
1975C2×C4C24×D1312yes—
1976C2×C4C24×D1312yes—
1977C2×C4C24×D1312yes—
1978C2×C4C24×D1312yes—
1979C2×C4C24×D1312yes—
1980C2×C4C24×D1312yes—
1981C2×C4C24×D1312yes—
1982C2×C4C24×D1312yes—
1983C2×C4C24×D1312yes—
1984C22—22no—
1985C22—22no—
1986C22—28no—
1987C22—22no—
1988C22—22no—
1989C22—22no—
1990C22—22no—
1991C22—22no—
1992C22—22no—
1993C22—22no—
1994C22—22no—
1995C22—22no—
1996C22—44no—
1997C22—44no—
1998C22—44no—
1999C22—134no—
2000C22—134no—
2001C22—262no—
2002C22—262no—
2003C22—262no—
2004C22—262no—
2005C22—268no—
2006C22—268no—
2007C22—262no—
2008C22—262no—
2009C22—262no—
2010C22—262no—
2011C22—262no—
2012C22—262no—
2013C22—262no—
2014C22—262no—
2015C22—262no—
2016C22—5216no—
2017C22—5216no—
2018C22—524no—
2019C22—524no—
2020C22—524no—
2021C22—1048no—
2022C22—1048no—
2023C22C2×#41×D1314yes—
2024C22C2×#41×D1312yes—
2025C22#1171964812yes—
2026C22D13×H(5,𝔽2)12yes—
2027C22C25×D1311yescharacteristic
2028C4—22no—
2029C4—22no—
2030C4—22no—
2031C4—22no—
2032C4—22no—
2033C4—22no—
2034C4—22no—
2035C4—22no—
2036C4—22no—
2037C4—22no—
2038C4—22no—
2039C4—134no—
2040C4—262no—
2041C4—262no—
2042C4—262no—
2043C4—262no—
2044C4—262no—
2045C4—262no—
2046C4—262no—
2047C4—262no—
2048C4—262no—
2049C4—262no—
2050C2—24no—
2051C2—42no—
2052C2—42no—
2053C2—42no—
2054C2—264no—
2055C2—264no—
2056C2—522no—
2057C2—522no—
2058C2—522no—
2059C2#1312866914yesdirect product factor
2060C2C22×#41×D1311yescharacteristic
2061C2C2×D13×H(5,𝔽2)11yescharacteristic
2062C2C2×#1171964811yescharacteristic
subgroupG/H
centerC23C24×D13
commutator, cosocleC22×C13C26
FrattiniC22C25×D13
FittingC2×C13×#553C2
socleC23×C13C25
hypercenterC2×#553D13
hypocenterC13C2×#3505
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C23 ◁ C2×#553

Complements

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

NH ≅ G/Ntype
1. #13128669C2direct (N × H)
2. C2×#11719245C2semidirect
3. C2×#11719245C2semidirect
4. C2×#11719219C2semidirect
5. C2×#11719306C2semidirect
6. C2×#11719306C2semidirect
7. C2×#11719413C2semidirect
8. C2×#11719398C2semidirect
9. C2×#11719261C2semidirect
10. C2×#11719364C2semidirect
11. C2×#11719410C2semidirect
12. C2×#11719232C2semidirect
13. C2×#11719257C2semidirect
14. C2×#11719303C2semidirect
15. C2×#11719359C2semidirect
16. C2×#11719315C2semidirect
17. C2×#11719397C2semidirect
18. C2×#11719365C2semidirect
19. C2×#11719409C2semidirect
20. C2×#11719318C2semidirect
21. C2×#11719310C2semidirect
22. C2×#11719310C2semidirect
23. C2×#11719411C2semidirect
24. C2×#11719233C2semidirect
25. C2×#11719252C2semidirect
26. C2×#11719361C2semidirect
27. C22×#88150C2semidirect
28. C2×D13×#121C2semidirect
29. C2×#11719250C2semidirect
30. C2×#11719250C2semidirect
31. C2×C4×D4×D13C2semidirect
32. C2×C13×#553C2semidirect
33. C22×#6129C22semidirect
37. C22×D4×D13C22semidirect
38. C22×#6127C22semidirect
40. C23×C4×D13C22semidirect
41. C23×Dic26C22semidirect
42. C13×#553C22semidirect
43. C2×C13×#126C22semidirect
44. C2×C13×#126C22semidirect
45. C2×C13×#125C22semidirect
46. C2×C13×#123C22semidirect
47. C2×C13×#123C22semidirect
48. C2×C13×#121C22semidirect
49. C2×C13×#121C22semidirect
50. C2×C13×#121C22semidirect
51. C2×C13×#121C22semidirect
52. C2×C4×D4×C13C22semidirect
53. C2×C4×D4×C13C22semidirect
54. C2×C4×D4×C13C22semidirect
55. C2×C4×D4×C13C22semidirect
56. C2×C13×#117C22semidirect
57. C22×C13×C4⋊C4C22semidirect
58. C2×#88193C22semidirect
59. C2×#88193C22semidirect
60. C2×#88193C22semidirect
61. C2×#88193C22semidirect
62. C2×#88193C22semidirect
63. C2×#88193C22semidirect
64. C2×#88193C22semidirect
65. C2×#88193C22semidirect
69. C2×#88191C22semidirect
70. C2×#88191C22semidirect
71. C2×#88190C22semidirect
72. C2×#88189C22semidirect
73. C2×#88189C22semidirect
74. C2×D4×Dic13C22semidirect
75. C2×D4×Dic13C22semidirect
76. C2×D4×Dic13C22semidirect
77. C2×#88184C22semidirect
78. C2×#88184C22semidirect
79. C2×#88184C22semidirect
80. C2×#88183C22semidirect
81. C2×#88183C22semidirect
83. C2×C4×C22⋊D13C22semidirect
84. C2×C4×C22⋊D13C22semidirect
85. C2×C4×C22⋊D13C22semidirect
86. C2×C4×C22⋊D13C22semidirect
87. C2×C4×C22⋊D13C22semidirect
88. C2×C4×C22⋊D13C22semidirect
89. C2×C4×C22⋊D13C22semidirect
92. C22×#6103C22semidirect
93. C22×#6103C22semidirect
94. C2×#88178C22semidirect
95. C22×#6101C22semidirect
96. C22×#6101C22semidirect
97. #11719413C22semidirect
98. #11719411C22semidirect
99. #11719410C22semidirect
100. #11719409C22semidirect
101. #11719398C22semidirect
102. #11719397C22semidirect
103. #11719365C22semidirect
104. #11719364C22semidirect
105. #11719361C22semidirect
106. #11719359C22semidirect
107. #11719318C22semidirect
108. #11719315C22semidirect
109. #11719310C22semidirect
110. #11719310C22semidirect
111. D13×#121C22semidirect
112. #11719306C22semidirect
113. #11719306C22semidirect
114. #11719303C22semidirect
115. #11719261C22semidirect
116. #11719257C22semidirect
117. #11719252C22semidirect
118. #11719250C22semidirect
119. #11719250C22semidirect
120. C4×D4×D13C22semidirect
121. #11719245C22semidirect
122. #11719245C22semidirect
123. #11719233C22semidirect
124. #11719232C22semidirect
125. #11719219C22semidirect
126. C2×#88152C22semidirect
127. C2×#88152C22semidirect
128. C2×#88152C22semidirect
129. C2×#88152C22semidirect
130. C2×#88151C22semidirect
131. C2×#88150C22semidirect
132. C2×#88150C22semidirect
133. C2×#88150C22semidirect
134. C2×#88150C22semidirect
135. C2×#88150C22semidirect
136. C2×#88150C22semidirect
137. C2×#88150C22semidirect
138. C2×#88150C22semidirect
139. C2×#88150C22semidirect
140. C2×#88150C22semidirect
141. C2×#88150C22semidirect
143. C2×#88149C22semidirect
146. C2×#88148C22semidirect
147. C2×#88148C22semidirect
148. C2×#88148C22semidirect
149. C2×#88148C22semidirect
150. C2×#88148C22semidirect
151. C2×#88148C22semidirect
153. C2×#88147C22semidirect
154. C2×#88147C22semidirect
155. C2×#88147C22semidirect
156. C2×#88146C22semidirect
157. C2×#88146C22semidirect
158. C2×#88146C22semidirect
159. C2×C4⋊C4×D13C22semidirect
160. C2×C4⋊C4×D13C22semidirect
161. C2×#88144C22semidirect
162. C2×#88143C22semidirect
163. C2×#88143C22semidirect
164. C2×#88143C22semidirect
165. C2×#88143C22semidirect
166. C2×#88141C22semidirect
167. C2×#88139C22semidirect
168. C2×#88139C22semidirect
169. C2×#88139C22semidirect
170. C2×#88139C22semidirect
173. C2×#88138C22semidirect
174. C2×#88138C22semidirect
177. C2×#88137C22semidirect
178. C2×#88137C22semidirect
179. C2×#88137C22semidirect
180. C2×#88137C22semidirect
183. C2×#88136C22semidirect
184. C2×#88136C22semidirect
186. C2×#88135C22semidirect
187. C2×#88135C22semidirect
188. C2×#88135C22semidirect
189. C2×#88135C22semidirect
190. C2×#88135C22semidirect
191. C2×#88135C22semidirect
192. C2×#88135C22semidirect
194. C2×C22⋊C4×D13C22semidirect
195. C2×C22⋊C4×D13C22semidirect
196. C2×C22⋊C4×D13C22semidirect
197. C2×C22⋊C4×D13C22semidirect
198. C2×C22⋊C4×D13C22semidirect
199. C2×#88133C22semidirect
200. C2×#88133C22semidirect
201. C2×#88133C22semidirect
202. C2×#88133C22semidirect
203. C2×#88132C22semidirect
204. C2×#88132C22semidirect
205. C2×#88131C22semidirect
206. C2×#88131C22semidirect
207. C2×#88130C22semidirect
208. C2×#88130C22semidirect
209. C2×#88129C22semidirect
211. C2×C4×D52C22semidirect
212. C2×C4×D52C22semidirect
213. C2×#88126C22semidirect
214. C2×#88126C22semidirect
215. C2×#88126C22semidirect
216. C2×#88126C22semidirect
217. C2×C42×D13C22semidirect
218. C2×C4×Dic26C22semidirect
254. C2×#6129C23semidirect
262. C2×D4×D13C23semidirect
264. C2×#6127C23semidirect
289. C22×C4×D13C23semidirect
295. C22×Dic26C23semidirect
296. C13×#126C23semidirect
297. C13×#126C23semidirect
298. C13×#125C23semidirect
299. C13×#123C23semidirect
300. C13×#123C23semidirect
301. C13×#121C23semidirect
302. C13×#121C23semidirect
303. C13×#121C23semidirect
304. C13×#121C23semidirect
305. C4×D4×C13C23semidirect
306. C4×D4×C13C23semidirect
307. C4×D4×C13C23semidirect
308. C4×D4×C13C23semidirect
309. C13×#117C23semidirect
320. C2×C13×C4⋊C4C23semidirect
344. #88193C23semidirect
345. #88193C23semidirect
346. #88193C23semidirect
347. #88193C23semidirect
348. #88193C23semidirect
349. #88193C23semidirect
350. #88193C23semidirect
351. #88193C23semidirect
355. #88191C23semidirect
356. #88191C23semidirect
357. #88190C23semidirect
358. #88189C23semidirect
359. #88189C23semidirect
360. D4×Dic13C23semidirect
361. D4×Dic13C23semidirect
362. D4×Dic13C23semidirect
363. #88184C23semidirect
364. #88184C23semidirect
365. #88184C23semidirect
366. #88183C23semidirect
367. #88183C23semidirect
369. C4×C22⋊D13C23semidirect
370. C4×C22⋊D13C23semidirect
371. C4×C22⋊D13C23semidirect
372. C4×C22⋊D13C23semidirect
373. C4×C22⋊D13C23semidirect
374. C4×C22⋊D13C23semidirect
375. C4×C22⋊D13C23semidirect
406. C2×#6103C23semidirect
407. C2×#6103C23semidirect
414. #88178C23semidirect
435. C2×#6101C23semidirect
436. C2×#6101C23semidirect
446. #88152C23semidirect
447. #88152C23semidirect
448. #88152C23semidirect
449. #88152C23semidirect
450. #88151C23semidirect
451. #88150C23semidirect
452. #88150C23semidirect
453. #88150C23semidirect
454. #88150C23semidirect
455. #88150C23semidirect
456. #88150C23semidirect
457. #88150C23semidirect
458. #88150C23semidirect
459. #88150C23semidirect
460. #88150C23semidirect
462. #88149C23semidirect
465. #88148C23semidirect
466. #88148C23semidirect
467. #88148C23semidirect
468. #88148C23semidirect
469. #88148C23semidirect
470. #88148C23semidirect
472. #88147C23semidirect
473. #88147C23semidirect
474. #88147C23semidirect
475. #88146C23semidirect
476. #88146C23semidirect
477. #88146C23semidirect
478. C4⋊C4×D13C23semidirect
479. C4⋊C4×D13C23semidirect
480. #88144C23semidirect
481. #88143C23semidirect
482. #88143C23semidirect
483. #88143C23semidirect
484. #88143C23semidirect
485. #88141C23semidirect
486. #88139C23semidirect
487. #88139C23semidirect
488. #88139C23semidirect
489. #88139C23semidirect
492. #88138C23semidirect
493. #88138C23semidirect
496. #88137C23semidirect
497. #88137C23semidirect
498. #88137C23semidirect
499. #88137C23semidirect
502. #88136C23semidirect
503. #88136C23semidirect
505. #88135C23semidirect
506. #88135C23semidirect
507. #88135C23semidirect
508. #88135C23semidirect
509. #88135C23semidirect
510. #88135C23semidirect
511. #88135C23semidirect
513. C22⋊C4×D13C23semidirect
514. C22⋊C4×D13C23semidirect
515. C22⋊C4×D13C23semidirect
516. C22⋊C4×D13C23semidirect
517. C22⋊C4×D13C23semidirect
518. #88133C23semidirect
519. #88133C23semidirect
520. #88133C23semidirect
521. #88133C23semidirect
522. #88132C23semidirect
523. #88132C23semidirect
524. #88131C23semidirect
525. #88131C23semidirect
526. #88130C23semidirect
527. #88130C23semidirect
528. #88129C23semidirect
530. C4×D52C23semidirect
531. C4×D52C23semidirect
532. #88126C23semidirect
533. #88126C23semidirect
534. #88126C23semidirect
535. #88126C23semidirect
536. C42×D13C23semidirect
537. C4×Dic26C23semidirect
554. C23×D13#41semidirect
807. C2×#553D13semidirect
880. C22×D13C2×#41semidirect
999. #553C2×D13semidirect
1028. C2×#126C2×D13semidirect
1029. C2×#126C2×D13semidirect
1035. C2×#125C2×D13semidirect
1062. C2×#123C2×D13semidirect
1063. C2×#123C2×D13semidirect
1098. C2×#121C2×D13semidirect
1099. C2×#121C2×D13semidirect
1100. C2×#121C2×D13semidirect
1101. C2×#121C2×D13semidirect
1141. C2×C4×D4C2×D13semidirect
1142. C2×C4×D4C2×D13semidirect
1143. C2×C4×D4C2×D13semidirect
1144. C2×C4×D4C2×D13semidirect
1154. C2×#117C2×D13semidirect
1159. C22×C4⋊C4C2×D13semidirect
1324. #126C22×D13semidirect
1325. #126C22×D13semidirect
1331. #125C22×D13semidirect
1356. #123C22×D13semidirect
1357. #123C22×D13semidirect
1390. #121C22×D13semidirect
1391. #121C22×D13semidirect
1392. #121C22×D13semidirect
1393. #121C22×D13semidirect
1430. C4×D4C22×D13semidirect
1431. C4×D4C22×D13semidirect
1432. C4×D4C22×D13semidirect
1433. C4×D4C22×D13semidirect
1443. #117C22×D13semidirect
1484. C2×C4⋊C4C22×D13semidirect
1560. C2×C13#3505semidirect
1831. C13C2×#3505semidirect
2059. C2#13128669direct (N × H)

Maximal subgroups

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

subgroupindex
#131286692
C2×#117192452
C2×#117192192
C2×#117193062
C2×#117194132
C2×#117193982
C2×#117192612
C2×#117193642
C2×#117194102
C2×#117192322
C2×#117192572
C2×#117193032
C2×#117193592
C2×#117193152
C2×#117193972
C2×#117193652
C2×#117194092
C2×#117193182
C2×#117193102
C2×#117194112
C2×#117192332
C2×#117192522
C2×#117193612
C22×#881502
C2×D13×#1212
C2×#117192502
C2×C4×D4×D132
C2×C13×#5532
C2×#350513