Finite Group Databasebeta

← C2×#13129025 #16770107

Subgroups — C2×#13129025 #16770107

Order 3328.

8166 conjugacy classes of subgroups.

The subgroup lattice has 2164 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13129025C2132yesmaximal, direct product factor
2C2×#11719326C211yesmaximal, characteristic, complemented
3C2×#11719389C211yesmaximal, characteristic, complemented
4C2×#11719300C211yesmaximal, characteristic, complemented
5C2×#11719325C211yesmaximal, characteristic, complemented
6C2×#11719414C211yesmaximal, characteristic, complemented
7C2×#11719263C211yesmaximal, characteristic, complemented
8C2×#11719384C211yesmaximal, characteristic, complemented
9C2×#11719410C211yesmaximal, characteristic, complemented
10C2×#11719317C211yesmaximal, characteristic, complemented
11C2×#11719255C211yesmaximal, characteristic, complemented
12C2×#11719381C211yesmaximal, characteristic, complemented
13C2×#11719381C211yesmaximal, characteristic, complemented
14C2×#11719195C211yesmaximal, characteristic, complemented
15C2×#11719195C211yesmaximal, characteristic, complemented
16C2×#11719314C211yesmaximal, characteristic, complemented
17C2×#11719295C211yesmaximal, characteristic, complemented
18C2×#11719368C211yesmaximal, characteristic, complemented
19C2×#11719267C211yesmaximal, characteristic, complemented
20C2×#11719343C211yesmaximal, characteristic, complemented
21C2×#11719365C211yesmaximal, characteristic, complemented
22C2×#11719412C211yesmaximal, characteristic, complemented
23C2×#11719409C211yesmaximal, characteristic, complemented
24C2×#11719318C211yesmaximal, characteristic, complemented
25C2×#11719334C211yesmaximal, characteristic, complemented
26C2×#11719358C211yesmaximal, characteristic, complemented
27C2×#11719294C211yesmaximal, characteristic, complemented
28C2×#11719294C211yesmaximal, characteristic, complemented
29C2×#11719252C211yesmaximal, characteristic, complemented
30C2×D13×#123C211yesmaximal, characteristic, complemented
31C2×D13×#121C211yesmaximal, characteristic, complemented
32C2×C13×#538C211yesmaximal, characteristic, complemented
33C23×C22⋊D13C2211yescharacteristic, complemented
34C23×C22⋊D13C2211yescharacteristic, complemented
35C22×#6131C2211yescharacteristic, complemented
36C22×D4×D13C2211yescharacteristic
37C22×D4×D13C2211yescharacteristic, complemented
38C22×D4×D13C2211yescharacteristic, complemented
39C22×D4×D13C2211yescharacteristic, complemented
40C22×D4×D13C2211yescharacteristic, complemented
41C22×#6127C2211yescharacteristic, complemented
42C22×#6127C2211yescharacteristic, complemented
43C23×D52C2211yescharacteristic, complemented
44C23×C4×D13C2211yescharacteristic, complemented
45C13×#538C22116yescomplemented
46C2×C13×#126C2211yescharacteristic, complemented
47C2×C13×#126C2211yescharacteristic, complemented
48C2×C13×#124C2211yescharacteristic, complemented
49C2×C13×#124C2211yescharacteristic, complemented
50C2×C13×#123C2211yescharacteristic, complemented
51C2×C13×#123C2211yescharacteristic, complemented
52C2×C13×C22⋊Q8C2211yescharacteristic, complemented
53C2×C13×#121C2211yescharacteristic, complemented
54C2×C13×#121C2211yescharacteristic, complemented
55C2×C13×#121C2211yescharacteristic, complemented
56C2×C13×#120C2211yescharacteristic, complemented
57C2×C13×#120C2211yescharacteristic, complemented
58C2×C4×D4×C13C2211yescharacteristic, complemented
59C2×C4×D4×C13C2211yescharacteristic, complemented
60C22×C13×C22⋊C4C2211yescharacteristic, complemented
61C2×#88207C2211yescharacteristic, complemented
62C2×#88207C2211yescharacteristic, complemented
63C2×#88200C2211yescharacteristic, complemented
64C2×#88200C2211yescharacteristic, complemented
65C2×#88200C2211yescharacteristic, complemented
66C2×#88194C2211yescharacteristic, complemented
67C2×#88194C2211yescharacteristic, complemented
68C2×#88193C2211yescharacteristic, complemented
69C2×#88193C2211yescharacteristic, complemented
70C2×#88193C2211yescharacteristic, complemented
71C2×#88193C2211yescharacteristic, complemented
72C2×#88193C2211yescharacteristic, complemented
73C2×#88192C2211yescharacteristic
74C2×#88192C2211yescharacteristic, complemented
75C2×#88192C2211yescharacteristic, complemented
76C2×#88192C2211yescharacteristic, complemented
77C2×#88192C2211yescharacteristic, complemented
78C2×#88192C2211yescharacteristic, complemented
79C2×#88191C2211yescharacteristic
80C2×#88191C2211yescharacteristic, complemented
81C2×#88191C2211yescharacteristic, complemented
82C2×#88191C2211yescharacteristic, complemented
83C2×#88191C2211yescharacteristic, complemented
84C2×#88191C2211yescharacteristic, complemented
85C2×#88190C2211yescharacteristic, complemented
86C2×#88189C2211yescharacteristic, complemented
87C2×#88189C2211yescharacteristic, complemented
88C2×#88189C2211yescharacteristic, complemented
89C2×#88184C2211yescharacteristic, complemented
90C2×#88184C2211yescharacteristic, complemented
91C2×#88184C2211yescharacteristic, complemented
92C2×#88183C2211yescharacteristic, complemented
93C2×#88183C2211yescharacteristic, complemented
94C2×#88183C2211yescharacteristic, complemented
95C2×#88183C2211yescharacteristic, complemented
96C2×C4×C22⋊D13C2211yescharacteristic, complemented
97C2×C4×C22⋊D13C2211yescharacteristic, complemented
98C2×C4×C22⋊D13C2211yescharacteristic, complemented
99C2×C4×C22⋊D13C2211yescharacteristic, complemented
100C2×#88178C2211yescharacteristic, complemented
101#11719414C22116yescomplemented
102#11719412C22116yescomplemented
103#11719410C22116yescomplemented
104#11719409C22116yescomplemented
105#11719389C22116yescomplemented
106#11719384C22116yescomplemented
107#11719381C22116yescomplemented
108#11719381C22116yescomplemented
109#11719368C22116yescomplemented
110#11719365C22116yescomplemented
111#11719358C22116yescomplemented
112D13×#123C22116yescomplemented
113#11719343C22116yescomplemented
114#11719334C22116yescomplemented
115#11719326C22116yescomplemented
116#11719325C22116yescomplemented
117#11719318C22116yescomplemented
118#11719317C22116yescomplemented
119#11719314C22116yescomplemented
120D13×#121C22116yescomplemented
121#11719300C22116yescomplemented
122#11719295C22116yescomplemented
123#11719294C22116yescomplemented
124#11719294C22116yescomplemented
125#11719267C22116yescomplemented
126#11719263C22116yescomplemented
127#11719255C22116yescomplemented
128#11719252C22116yescomplemented
129C2×#88152C2211yescharacteristic, complemented
130C2×#88152C2211yescharacteristic, complemented
131C2×#88151C2211yescharacteristic, complemented
132C2×#88150C2211yescharacteristic, complemented
133C2×#88150C2211yescharacteristic, complemented
134C2×#88150C2211yescharacteristic, complemented
135C2×#88149C2211yescharacteristic, complemented
136C2×#88149C2211yescharacteristic, complemented
137C2×#88149C2211yescharacteristic, complemented
138C2×#88149C2211yescharacteristic, complemented
139C2×#88148C2211yescharacteristic, complemented
140C2×#88148C2211yescharacteristic, complemented
141C2×#88148C2211yescharacteristic, complemented
142C2×#88148C2211yescharacteristic, complemented
143C2×#88148C2211yescharacteristic, complemented
144C2×#88147C2211yescharacteristic, complemented
145C2×#88147C2211yescharacteristic, complemented
146C2×#88146C2211yescharacteristic, complemented
147C2×C4⋊C4×D13C2211yescharacteristic, complemented
148C2×C4⋊C4×D13C2211yescharacteristic, complemented
149C2×C4⋊C4×D13C2211yescharacteristic, complemented
150C2×#88144C2211yescharacteristic, complemented
151C2×#88143C2211yescharacteristic, complemented
152C2×#88143C2211yescharacteristic, complemented
153C2×#88140C2211yescharacteristic, complemented
154C2×#88140C2211yescharacteristic, complemented
155C2×#88140C2211yescharacteristic, complemented
156C2×#88139C2211yescharacteristic, complemented
157C2×#88139C2211yescharacteristic, complemented
158#11719195C22116yescomplemented
159#11719195C22116yescomplemented
160C2×#88138C2211yescharacteristic
161C2×#88138C2211yescharacteristic
162C2×#88138C2211yescharacteristic, complemented
163C2×#88138C2211yescharacteristic, complemented
164C2×#88138C2211yescharacteristic, complemented
165C2×#88138C2211yescharacteristic, complemented
166C2×#88138C2211yescharacteristic, complemented
167C2×#88138C2211yescharacteristic, complemented
168C2×#88138C2211yescharacteristic, complemented
169C2×#88138C2211yescharacteristic, complemented
170C2×#88138C2211yescharacteristic, complemented
171C2×#88138C2211yescharacteristic, complemented
172C2×#88138C2211yescharacteristic, complemented
173C2×#88138C2211yescharacteristic, complemented
174C2×#88138C2211yescharacteristic, complemented
175C2×#88137C2211yescharacteristic, complemented
176C2×#88137C2211yescharacteristic, complemented
177C2×#88137C2211yescharacteristic, complemented
178C2×#88137C2211yescharacteristic, complemented
179C2×#88137C2211yescharacteristic, complemented
180C2×#88137C2211yescharacteristic, complemented
181C2×#88137C2211yescharacteristic, complemented
182C2×#88137C2211yescharacteristic, complemented
183C2×#88137C2211yescharacteristic, complemented
184C2×#88137C2211yescharacteristic, complemented
185C2×#88137C2211yescharacteristic, complemented
186C2×#88136C2211yescharacteristic
187C2×#88136C2211yescharacteristic, complemented
188C2×#88136C2211yescharacteristic, complemented
189C2×#88136C2211yescharacteristic, complemented
190C2×#88136C2211yescharacteristic, complemented
191C2×#88136C2211yescharacteristic, complemented
192C2×#88135C2211yescharacteristic, complemented
193C2×#88135C2211yescharacteristic, complemented
194C2×#88135C2211yescharacteristic, complemented
195C2×#88135C2211yescharacteristic, complemented
196C2×C22⋊C4×D13C2211yescharacteristic, complemented
197C2×C22⋊C4×D13C2211yescharacteristic, complemented
198C2×C22⋊C4×D13C2211yescharacteristic, complemented
199C2×C22⋊C4×D13C2211yescharacteristic, complemented
200C2×C22⋊C4×D13C2211yescharacteristic, complemented
201C2×C22⋊C4×D13C2211yescharacteristic, complemented
202C2×C22⋊C4×D13C2211yescharacteristic, complemented
203C2×C22⋊C4×D13C2211yescharacteristic, complemented
204C2×#88133C2211yescharacteristic, complemented
205C2×#88133C2211yescharacteristic, complemented
206C2×#88133C2211yescharacteristic, complemented
207C2×#88133C2211yescharacteristic, complemented
208C2×#88132C2211yescharacteristic, complemented
209C2×#88132C2211yescharacteristic, complemented
210C2×#88132C2211yescharacteristic, complemented
211C2×#88129C2211yescharacteristic, complemented
212C2×C4×D52C2211yescharacteristic, complemented
213C2×C4×D52C2211yescharacteristic, complemented
214C2×C4×D52C2211yescharacteristic, complemented
215C2×C4×D52C2211yescharacteristic, complemented
216C2×#88126C2211yescharacteristic, complemented
217C2×#88126C2211yescharacteristic, complemented
218C2×#88124C2211yescharacteristic, complemented
219C25×C13C2311yescharacteristic
220C24×D13C2311yescharacteristic
221C24×D13C2311yescharacteristic
222C24×D13C2311yescharacteristic
223C24×D13C2311yescharacteristic
224C24×D13C2311yescharacteristic
225C22×Q8×C13C2311yescharacteristic
226C22×D4×C13C2311yescharacteristic
227C22×D4×C13C2311yescharacteristic
228C22×D4×C13C2311yescharacteristic
229C22×D4×C13C2311yescharacteristic
230C22×D4×C13C2311yescharacteristic
231C22×D4×C13C2311yescharacteristic
232C22×D4×C13C2311yescharacteristic
233C23×C4×C13C2311yescharacteristic
234C23×C4×C13C2311yescharacteristic
235C23×C4×C13C2311yescharacteristic
236C23×C4×C13C2311yescharacteristic
237C22×C22⋊D13—44no—
238C22×C22⋊D13—44no—
239C22×C22⋊D13C2311yescharacteristic
240C22×C22⋊D13C2311yescharacteristic
241C22×C22⋊D13C2311yescharacteristic
242C22×C22⋊D13C2311yescharacteristic
243C22×C22⋊D13C2311yescharacteristic
244C22×C22⋊D13C2311yescharacteristic
245C22×C22⋊D13C2311yescharacteristic
246C22×C22⋊D13C2311yescharacteristic
247C22×C22⋊D13C2311yescharacteristic
248C22×C22⋊D13C2311yescharacteristic
249C22×C22⋊D13C2311yescharacteristic
250C22×C22⋊D13C2311yescharacteristic
251C22×C22⋊D13C2311yescharacteristic
252C22×C22⋊D13C2311yescharacteristic
253C22×C22⋊D13C2311yescharacteristic
254C22×C22⋊D13C2311yescharacteristic
255C22×C22⋊D13C2311yescharacteristic
256C22×C22⋊D13C2311yescharacteristic
257C22×C22⋊D13C2311yescharacteristic
258C22×C22⋊D13C2311yescharacteristic
259C22×C22⋊D13C2318yescomplemented
260C22×C22⋊D13C2318yescomplemented
261C23×Dic13C2311yescharacteristic
262C23×Dic13C2311yescharacteristic
263C23×Dic13C2311yescharacteristic
264C2×#6131—44no—
265C2×#6131C2318yescomplemented
266C2×D4×D13—44no—
267C2×D4×D13—44no—
268C2×D4×D13—44no—
269C2×D4×D13—44no—
270C2×D4×D13—44no—
271C2×D4×D13C2318yes—
272C2×D4×D13C2318yescomplemented
273C2×D4×D13C2318yescomplemented
274C2×D4×D13C2318yescomplemented
275C2×D4×D13C2318yescomplemented
276C2×#6127—44no—
277C2×#6127—44no—
278C2×#6127C2318yescomplemented
279C2×#6127C2318yescomplemented
280C22×D52—44no—
281C22×D52C2311yescharacteristic
282C22×D52C2311yescharacteristic
283C22×D52C2311yescharacteristic
284C22×D52C2311yescharacteristic
285C22×D52C2311yescharacteristic
286C22×D52C2311yescharacteristic
287C22×D52C2311yescharacteristic
288C22×D52C2311yescharacteristic
289C22×D52C2311yescharacteristic
290C22×D52C2311yescharacteristic
291C22×D52C2318yescomplemented
292C22×C4×D13—44no—
293C22×C4×D13C2311yescharacteristic
294C22×C4×D13C2311yescharacteristic
295C22×C4×D13C2311yescharacteristic
296C22×C4×D13C2311yescharacteristic
297C22×C4×D13C2311yescharacteristic
298C22×C4×D13C2311yescharacteristic
299C22×C4×D13C2311yescharacteristic
300C22×C4×D13C2311yescharacteristic
301C22×C4×D13C2311yescharacteristic
302C22×C4×D13C2311yescharacteristic
303C22×C4×D13C2311yescharacteristic
304C22×C4×D13C2311yescharacteristic
305C22×C4×D13C2311yescharacteristic
306C22×C4×D13C2311yescharacteristic
307C22×C4×D13C2311yescharacteristic
308C22×C4×D13C2311yescharacteristic
309C22×C4×D13C2318yescomplemented
310C22×Dic26C2311yescharacteristic
311C22×Dic26C2311yescharacteristic
312C13×#126C2318yescomplemented
313C13×#126C2318yescomplemented
314C13×#124C2318yescomplemented
315C13×#124C2318yescomplemented
316C13×#123C2318yescomplemented
317C13×#123C2318yescomplemented
318C13×C22⋊Q8C2318yescomplemented
319C13×#121C2318yescomplemented
320C13×#121C2318yescomplemented
321C13×#121C2318yescomplemented
322C13×#120C2318yescomplemented
323C13×#120C2318yescomplemented
324C4×D4×C13C2318yescomplemented
325C4×D4×C13C2318yescomplemented
326C2×C13×C4⋊C4C2311yescharacteristic
327C2×C13×C4⋊C4C2311yescharacteristic
328C2×C13×C4⋊C4C2311yescharacteristic
329C2×C13×C4⋊C4C2311yescharacteristic
330C2×C13×C4⋊C4C2311yescharacteristic
331C2×C13×C4⋊C4C2311yescharacteristic
332C2×C13×C22⋊C4C2311yescharacteristic
333C2×C13×C22⋊C4C2311yescharacteristic
334C2×C13×C22⋊C4C2311yescharacteristic
335C2×C13×C22⋊C4C2311yescharacteristic
336C2×C13×C22⋊C4C2311yescharacteristic
337C2×C13×C22⋊C4C2311yescharacteristic
338C2×C13×C22⋊C4C2311yescharacteristic
339C2×C13×C22⋊C4C2311yescharacteristic
340C2×C13×C22⋊C4C2311yescharacteristic
341C2×C13×C22⋊C4C2311yescharacteristic
342C2×C13×C22⋊C4C2311yescharacteristic
343C2×C13×C22⋊C4C2311yescharacteristic
344C2×C13×C22⋊C4C2311yescharacteristic
345C2×C13×C22⋊C4C2311yescharacteristic
346C2×C13×C22⋊C4C2318yescomplemented
347C2×C42×C13C2311yescharacteristic
348C2×C42×C13C2311yescharacteristic
349#88207C2318yescomplemented
350#88207C2318yescomplemented
351C2×C22⋊Dic13C2311yescharacteristic
352C2×C22⋊Dic13C2311yescharacteristic
353C2×C22⋊Dic13C2311yescharacteristic
354C2×C22⋊Dic13C2311yescharacteristic
355C2×C22⋊Dic13C2311yescharacteristic
356C2×C22⋊Dic13C2311yescharacteristic
357C2×C22⋊Dic13C2311yescharacteristic
358C2×C22⋊Dic13C2311yescharacteristic
359C2×C22⋊Dic13C2311yescharacteristic
360C2×C22⋊Dic13C2311yescharacteristic
361C2×C22⋊Dic13C2311yescharacteristic
362C2×C22⋊Dic13C2311yescharacteristic
363#88200C2318yescomplemented
364#88200C2318yescomplemented
365#88200C2318yescomplemented
366#88194C2318yescomplemented
367#88194C2318yescomplemented
368#88193C2318yescomplemented
369#88193C2318yescomplemented
370#88193C2318yescomplemented
371#88193C2318yescomplemented
372#88193C2318yescomplemented
373#88192C2318yes—
374#88192C2318yescomplemented
375#88192C2318yescomplemented
376#88192C2318yescomplemented
377#88192C2318yescomplemented
378#88192C2318yescomplemented
379#88191C2318yes—
380#88191C2318yescomplemented
381#88191C2318yescomplemented
382#88191C2318yescomplemented
383#88191C2318yescomplemented
384#88191C2318yescomplemented
385#88190C2318yescomplemented
386#88189C2318yescomplemented
387#88189C2318yescomplemented
388#88189C2318yescomplemented
389#88184C2318yescomplemented
390#88184C2318yescomplemented
391#88184C2318yescomplemented
392#88183C2318yescomplemented
393#88183C2318yescomplemented
394#88183C2318yescomplemented
395#88183C2318yescomplemented
396C4×C22⋊D13C2318yescomplemented
397C4×C22⋊D13C2318yescomplemented
398C4×C22⋊D13C2318yescomplemented
399C4×C22⋊D13C2318yescomplemented
400C2×#6103C2311yescharacteristic
401C2×#6103C2311yescharacteristic
402C2×#6103C2311yescharacteristic
403C2×#6103C2311yescharacteristic
404C2×#6103C2311yescharacteristic
405C2×#6103C2311yescharacteristic
406C2×#6103C2311yescharacteristic
407C2×#6103C2311yescharacteristic
408C2×#6103C2311yescharacteristic
409C2×#6103C2311yescharacteristic
410C2×#6103C2311yescharacteristic
411C2×#6103C2311yescharacteristic
412C2×#6103C2311yescharacteristic
413C2×#6103C2311yescharacteristic
414C2×#6103C2311yescharacteristic
415C2×#6103C2311yescharacteristic
416C2×#6103C2311yescharacteristic
417C2×#6103C2311yescharacteristic
418C2×#6103C2311yescharacteristic
419C2×#6103C2311yescharacteristic
420C2×#6103C2311yescharacteristic
421C2×#6103C2311yescharacteristic
422C2×#6103C2311yescharacteristic
423C2×#6103C2311yescharacteristic
424C2×C4⋊Dic13C2311yescharacteristic
425C2×C4⋊Dic13C2311yescharacteristic
426C2×C4⋊Dic13C2311yescharacteristic
427C2×C4⋊Dic13C2311yescharacteristic
428C2×C4⋊Dic13C2311yescharacteristic
429C2×C4⋊Dic13C2311yescharacteristic
430C2×C4⋊Dic13C2311yescharacteristic
431C2×C4⋊Dic13C2311yescharacteristic
432#88178C2318yescomplemented
433C2×#6101C2311yescharacteristic
434C2×#6101C2311yescharacteristic
435C2×#6101C2311yescharacteristic
436C2×#6101C2311yescharacteristic
437C2×#6101C2311yescharacteristic
438C2×#6101C2311yescharacteristic
439C2×#6101C2311yescharacteristic
440C2×#6101C2311yescharacteristic
441C2×#6101C2311yescharacteristic
442C2×#6101C2311yescharacteristic
443C2×#6101C2311yescharacteristic
444C2×#6101C2311yescharacteristic
445C2×#6101C2311yescharacteristic
446C2×#6101C2311yescharacteristic
447C2×#6101C2311yescharacteristic
448C2×#6101C2311yescharacteristic
449C2×C4×Dic13C2311yescharacteristic
450C2×C4×Dic13C2311yescharacteristic
451C2×C4×Dic13C2311yescharacteristic
452C2×C4×Dic13C2311yescharacteristic
453#88152C2318yescomplemented
454#88152C2318yescomplemented
455#88151C2318yescomplemented
456#88150C2318yescomplemented
457#88150C2318yescomplemented
458#88150C2318yescomplemented
459#88149C2318yescomplemented
460#88149C2318yescomplemented
461#88149C2318yescomplemented
462#88149C2318yescomplemented
463#88148C2318yescomplemented
464#88148C2318yescomplemented
465#88148C2318yescomplemented
466#88148C2318yescomplemented
467#88148C2318yescomplemented
468#88147C2318yescomplemented
469#88147C2318yescomplemented
470#88146C2318yescomplemented
471C4⋊C4×D13C2318yescomplemented
472C4⋊C4×D13C2318yescomplemented
473C4⋊C4×D13C2318yescomplemented
474#88144C2318yescomplemented
475#88143C2318yescomplemented
476#88143C2318yescomplemented
477#88140C2318yescomplemented
478#88140C2318yescomplemented
479#88140C2318yescomplemented
480#88139C2318yescomplemented
481#88139C2318yescomplemented
482#88138C2318yes—
483#88138C2318yes—
484#88138C2318yescomplemented
485#88138C2318yescomplemented
486#88138C2318yescomplemented
487#88138C2318yescomplemented
488#88138C2318yescomplemented
489#88138C2318yescomplemented
490#88138C2318yescomplemented
491#88138C2318yescomplemented
492#88138C2318yescomplemented
493#88138C2318yescomplemented
494#88138C2318yescomplemented
495#88138C2318yescomplemented
496#88138C2318yescomplemented
497#88137C2318yescomplemented
498#88137C2318yescomplemented
499#88137C2318yescomplemented
500#88137C2318yescomplemented
501#88137C2318yescomplemented
502#88137C2318yescomplemented
503#88137C2318yescomplemented
504#88137C2318yescomplemented
505#88137C2318yescomplemented
506#88137C2318yescomplemented
507#88137C2318yescomplemented
508#88136C2318yes—
509#88136C2318yescomplemented
510#88136C2318yescomplemented
511#88136C2318yescomplemented
512#88136C2318yescomplemented
513#88136C2318yescomplemented
514#88135C2318yescomplemented
515#88135C2318yescomplemented
516#88135C2318yescomplemented
517#88135C2318yescomplemented
518C22⋊C4×D13C2318yescomplemented
519C22⋊C4×D13C2318yescomplemented
520C22⋊C4×D13C2318yescomplemented
521C22⋊C4×D13C2318yescomplemented
522C22⋊C4×D13C2318yescomplemented
523C22⋊C4×D13C2318yescomplemented
524C22⋊C4×D13C2318yescomplemented
525C22⋊C4×D13C2318yescomplemented
526#88133C2318yescomplemented
527#88133C2318yescomplemented
528#88133C2318yescomplemented
529#88133C2318yescomplemented
530#88132C2318yescomplemented
531#88132C2318yescomplemented
532#88132C2318yescomplemented
533#88129C2318yescomplemented
534C4×D52C2318yescomplemented
535C4×D52C2318yescomplemented
536C4×D52C2318yescomplemented
537C4×D52C2318yescomplemented
538#88126C2318yescomplemented
539#88126C2318yescomplemented
540#88124C2318yescomplemented
541C2×#3534—131nomaximal, Sylow
542C24×C13—42no—
543C24×C13—42no—
544C24×C13—42no—
545C24×C13C2411yescharacteristic
546C24×C13C2411yescharacteristic
547C24×C13C2411yescharacteristic
548C24×C13C2411yescharacteristic
549C24×C13C2411yescharacteristic
550C24×C13C2414yes—
551C23×D13—24no—
552C23×D13—24no—
553C23×D13—24no—
554C23×D13—24no—
555C23×D13—24no—
556C23×D13—42no—
557C23×D13—42no—
558C23×D13—42no—
559C23×D13—42no—
560C23×D13—42no—
561C23×D13—42no—
562C23×D13—42no—
563C23×D13—42no—
564C23×D13—42no—
565C23×D13—42no—
566C23×D13C2411yescharacteristic
567C23×D13C2411yescharacteristic
568C23×D13C2411yescharacteristic
569C23×D13C2411yescharacteristic
570C23×D13C2414yes—
571C23×D13C2411yescharacteristic
572C23×D13C2411yescharacteristic
573C23×D13C2414yes—
574C23×D13C2414yes—
575C23×D13C2414yes—
576C23×D13C2414yes—
577C2×Q8×C13—42no—
578C2×Q8×C13C2414yes—
579C2×D4×C13—42no—
580C2×D4×C13—42no—
581C2×D4×C13—42no—
582C2×D4×C13—42no—
583C2×D4×C13—42no—
584C2×D4×C13—42no—
585C2×D4×C13—42no—
586C2×D4×C13C2414yes—
587C2×D4×C13C2414yes—
588C2×D4×C13C2414yes—
589C2×D4×C13C2414yes—
590C2×D4×C13C2414yes—
591C2×D4×C13C2414yes—
592C2×D4×C13C2414yes—
593C22×C4×C13—42no—
594C22×C4×C13—42no—
595C22×C4×C13—42no—
596C22×C4×C13—42no—
597C22×C4×C13C2411yescharacteristic
598C22×C4×C13C2411yescharacteristic
599C22×C4×C13C2411yescharacteristic
600C22×C4×C13C2411yescharacteristic
601C22×C4×C13C2411yescharacteristic
602C22×C4×C13C2411yescharacteristic
603C22×C4×C13C2411yescharacteristic
604C22×C4×C13C2411yescharacteristic
605C22×C4×C13C2411yescharacteristic
606C22×C4×C13C2411yescharacteristic
607C22×C4×C13C2414yes—
608C22×C4×C13C2414yes—
609C22×C4×C13C2414yes—
610C22×C4×C13C2414yes—
611C2×C22⋊D13—24no—
612C2×C22⋊D13—24no—
613C2×C22⋊D13—24no—
614C2×C22⋊D13—24no—
615C2×C22⋊D13—24no—
616C2×C22⋊D13—42no—
617C2×C22⋊D13—42no—
618C2×C22⋊D13—42no—
619C2×C22⋊D13—42no—
620C2×C22⋊D13—42no—
621C2×C22⋊D13—42no—
622C2×C22⋊D13—42no—
623C2×C22⋊D13—42no—
624C2×C22⋊D13—42no—
625C2×C22⋊D13—42no—
626C2×C22⋊D13—42no—
627C2×C22⋊D13—42no—
628C2×C22⋊D13—42no—
629C2×C22⋊D13—42no—
630C2×C22⋊D13—42no—
631C2×C22⋊D13—416no—
632C2×C22⋊D13—416no—
633C2×C22⋊D13C2414yes—
634C2×C22⋊D13C2414yes—
635C2×C22⋊D13C2414yes—
636C2×C22⋊D13C2414yes—
637C2×C22⋊D13C2414yes—
638C2×C22⋊D13C2414yes—
639C2×C22⋊D13C2414yes—
640C2×C22⋊D13C2414yes—
641C2×C22⋊D13C2414yes—
642C2×C22⋊D13C2414yes—
643C2×C22⋊D13C2414yes—
644C2×C22⋊D13C2414yes—
645C2×C22⋊D13C2414yes—
646C2×C22⋊D13C2414yes—
647C2×C22⋊D13C2414yes—
648C2×C22⋊D13C2414yes—
649C2×C22⋊D13C2414yes—
650C2×C22⋊D13C2414yes—
651C2×C22⋊D13C2414yes—
652C2×C22⋊D13C2414yes—
653C22×Dic13—42no—
654C22×Dic13—42no—
655C22×Dic13—42no—
656C22×Dic13C2411yescharacteristic
657C22×Dic13C2411yescharacteristic
658C22×Dic13C2411yescharacteristic
659C22×Dic13C2411yescharacteristic
660C22×Dic13C2411yescharacteristic
661C22×Dic13C2411yescharacteristic
662C22×Dic13C2411yescharacteristic
663C22×Dic13C2411yescharacteristic
664C22×Dic13C2411yescharacteristic
665C22×Dic13C2411yescharacteristic
666C22×Dic13C2414yes—
667C22×Dic13C2414yes—
668C22×Dic13C2414yes—
669#6131—416no—
670D4×D13—416no—
671D4×D13—416no—
672D4×D13—416no—
673D4×D13—416no—
674D4×D13—416no—
675#6127—416no—
676#6127—416no—
677C2×D52—24no—
678C2×D52—24no—
679C2×D52—24no—
680C2×D52—24no—
681C2×D52—24no—
682C2×D52—416no—
683C2×D52—42no—
684C2×D52—42no—
685C2×D52—42no—
686C2×D52—42no—
687C2×D52—42no—
688C2×D52C2414yes—
689C2×D52C2414yes—
690C2×D52C2414yes—
691C2×D52C2414yes—
692C2×D52C2414yes—
693C2×D52C2414yes—
694C2×D52C2414yes—
695C2×D52C2414yes—
696C2×D52C2414yes—
697C2×D52C2414yes—
698C2×C4×D13—24no—
699C2×C4×D13—24no—
700C2×C4×D13—24no—
701C2×C4×D13—416no—
702C2×C4×D13—42no—
703C2×C4×D13—42no—
704C2×C4×D13—42no—
705C2×C4×D13—42no—
706C2×C4×D13—42no—
707C2×C4×D13—42no—
708C2×C4×D13—42no—
709C2×C4×D13—42no—
710C2×C4×D13—42no—
711C2×C4×D13—42no—
712C2×C4×D13—42no—
713C2×C4×D13—42no—
714C2×C4×D13—42no—
715C2×C4×D13C2414yes—
716C2×C4×D13C2414yes—
717C2×C4×D13C2414yes—
718C2×C4×D13C2414yes—
719C2×C4×D13C2414yes—
720C2×C4×D13C2414yes—
721C2×C4×D13C2414yes—
722C2×C4×D13C2414yes—
723C2×C4×D13C2414yes—
724C2×C4×D13C2414yes—
725C2×C4×D13C2414yes—
726C2×C4×D13C2414yes—
727C2×C4×D13C2414yes—
728C2×C4×D13C2414yes—
729C2×C4×D13C2414yes—
730C2×C4×D13C2414yes—
731C2×Dic26—42no—
732C2×Dic26—42no—
733C2×Dic26C2414yes—
734C2×Dic26C2414yes—
735C13×C4⋊C4C2414yes—
736C13×C4⋊C4C2414yes—
737C13×C4⋊C4C2414yes—
738C13×C4⋊C4C2414yes—
739C13×C4⋊C4C2414yes—
740C13×C4⋊C4C2414yes—
741C13×C22⋊C4C2414yes—
742C13×C22⋊C4C2414yes—
743C13×C22⋊C4C2414yes—
744C13×C22⋊C4C2414yes—
745C13×C22⋊C4C2414yes—
746C13×C22⋊C4C2414yes—
747C13×C22⋊C4C2414yes—
748C13×C22⋊C4C2414yes—
749C13×C22⋊C4C2414yes—
750C13×C22⋊C4C2414yes—
751C13×C22⋊C4C2414yes—
752C13×C22⋊C4C2414yes—
753C13×C22⋊C4C2414yes—
754C13×C22⋊C4C2414yes—
755C42×C13C2414yes—
756C42×C13C2414yes—
757C22⋊Dic13C2414yes—
758C22⋊Dic13C2414yes—
759C22⋊Dic13C2414yes—
760C22⋊Dic13C2414yes—
761C22⋊Dic13C2414yes—
762C22⋊Dic13C2414yes—
763C22⋊Dic13C2414yes—
764C22⋊Dic13C2414yes—
765C22⋊Dic13C2414yes—
766C22⋊Dic13C2414yes—
767C22⋊Dic13C2414yes—
768C22⋊Dic13C2414yes—
769#6103C2414yes—
770#6103C2414yes—
771#6103C2414yes—
772#6103C2414yes—
773#6103C2414yes—
774#6103C2414yes—
775#6103C2414yes—
776#6103C2414yes—
777#6103C2414yes—
778#6103C2414yes—
779#6103C2414yes—
780#6103C2414yes—
781#6103C2414yes—
782#6103C2414yes—
783#6103C2414yes—
784#6103C2414yes—
785#6103C2414yes—
786#6103C2414yes—
787#6103C2414yes—
788#6103C2414yes—
789#6103C2414yes—
790#6103C2414yes—
791#6103C2414yes—
792#6103C2414yes—
793C4⋊Dic13C2414yes—
794C4⋊Dic13C2414yes—
795C4⋊Dic13C2414yes—
796C4⋊Dic13C2414yes—
797C4⋊Dic13C2414yes—
798C4⋊Dic13C2414yes—
799C4⋊Dic13C2414yes—
800C4⋊Dic13C2414yes—
801#6101C2414yes—
802#6101C2414yes—
803#6101C2414yes—
804#6101C2414yes—
805#6101C2414yes—
806#6101C2414yes—
807#6101C2414yes—
808#6101C2414yes—
809#6101C2414yes—
810#6101C2414yes—
811#6101C2414yes—
812#6101C2414yes—
813#6101C2414yes—
814#6101C2414yes—
815#6101C2414yes—
816#6101C2414yes—
817C4×Dic13C2414yes—
818C4×Dic13C2414yes—
819C4×Dic13C2414yes—
820C4×Dic13C2414yes—
821#3534—1332no—
822C2×#562—131no—
823C2×#562—131no—
824C2×#560—131no—
825C2×#560—131no—
826C2×#553—131no—
827C2×#553—131no—
828C2×#551—131no—
829C2×#551—131no—
830C2×#546—131no—
831C2×#546—131no—
832C2×#546—131no—
833C2×#546—131no—
834C2×#546—131no—
835C2×#546—131no—
836C2×D42—131no—
837C2×D42—131no—
838C2×#540—131no—
839C2×#540—131no—
840C2×#539—131no—
841C2×#539—131no—
842C2×#539—131no—
843C2×#538—131no—
844C2×#538—131no—
845C2×#538D1311yescharacteristic, complemented
846C2×#537—131no—
847C2×#534—131no—
848C2×#534—131no—
849C2×#534—131no—
850C2×#525—131no—
851C22×#123—131no—
852C22×#121—131no—
853C23×C13—22no—
854C23×C13—22no—
855C23×C13—22no—
856C23×C13—22no—
857C23×C13—22no—
858C23×C13—22no—
859C23×C13—22no—
860C23×C13—22no—
861C23×C13—22no—
862C23×C13—22no—
863C23×C13—22no—
864C23×C13—22no—
865C23×C13—22no—
866C23×C13—22no—
867C23×C13—22no—
868C23×C13—44no—
869C23×C13—44no—
870C23×C13—44no—
871C23×C13—88no—
872C23×C13C2512yes—
873C23×C13C2512yes—
874C23×C13C2512yes—
875C23×C13C2512yes—
876C23×C13C2512yes—
877C23×C13C2511yescharacteristic
878C22×D13—22no—
879C22×D13—22no—
880C22×D13—22no—
881C22×D13—22no—
882C22×D13—22no—
883C22×D13—22no—
884C22×D13—22no—
885C22×D13—22no—
886C22×D13—22no—
887C22×D13—22no—
888C22×D13—22no—
889C22×D13—22no—
890C22×D13—22no—
891C22×D13—22no—
892C22×D13—22no—
893C22×D13—22no—
894C22×D13—28no—
895C22×D13—28no—
896C22×D13—28no—
897C22×D13—28no—
898C22×D13—28no—
899C22×D13—44no—
900C22×D13—416no—
901C22×D13—44no—
902C22×D13—44no—
903C22×D13—44no—
904C22×D13—44no—
905C22×D13—44no—
906C22×D13—44no—
907C22×D13—44no—
908C22×D13—44no—
909C22×D13—44no—
910C22×D13—88no—
911C22×D13—88no—
912C22×D13—88no—
913C22×D13—88no—
914C22×D13H(5,𝔽2)14yes—
915C22×D13H(5,𝔽2)14yes—
916C22×D13C2512yes—
917C22×D13C2512yes—
918C22×D13C2512yes—
919C22×D13C2512yes—
920C22×D13C2512yes—
921C22×D13C2512yes—
922Q8×C13—44no—
923D4×C13—44no—
924D4×C13—44no—
925D4×C13—44no—
926D4×C13—44no—
927D4×C13—44no—
928D4×C13—44no—
929D4×C13—44no—
930C2×C4×C13—22no—
931C2×C4×C13—22no—
932C2×C4×C13—22no—
933C2×C4×C13—22no—
934C2×C4×C13—22no—
935C2×C4×C13—22no—
936C2×C4×C13—22no—
937C2×C4×C13—22no—
938C2×C4×C13—22no—
939C2×C4×C13—22no—
940C2×C4×C13—44no—
941C2×C4×C13—44no—
942C2×C4×C13—44no—
943C2×C4×C13—44no—
944C2×C4×C13C2512yes—
945C2×C4×C13C2512yes—
946C2×C4×C13C2512yes—
947C2×C4×C13C2512yes—
948C2×C4×C13C2512yes—
949C2×C4×C13C2512yes—
950C2×C4×C13C2512yes—
951C2×C4×C13C2512yes—
952C2×C4×C13C2512yes—
953C2×C4×C13C2512yes—
954C22⋊D13—28no—
955C22⋊D13—28no—
956C22⋊D13—28no—
957C22⋊D13—28no—
958C22⋊D13—28no—
959C22⋊D13—44no—
960C22⋊D13—44no—
961C22⋊D13—44no—
962C22⋊D13—44no—
963C22⋊D13—44no—
964C22⋊D13—44no—
965C22⋊D13—44no—
966C22⋊D13—44no—
967C22⋊D13—44no—
968C22⋊D13—44no—
969C22⋊D13—44no—
970C22⋊D13—44no—
971C22⋊D13—44no—
972C22⋊D13—44no—
973C22⋊D13—44no—
974C2×Dic13—22no—
975C2×Dic13—22no—
976C2×Dic13—22no—
977C2×Dic13—22no—
978C2×Dic13—22no—
979C2×Dic13—22no—
980C2×Dic13—22no—
981C2×Dic13—22no—
982C2×Dic13—22no—
983C2×Dic13—22no—
984C2×Dic13—44no—
985C2×Dic13—44no—
986C2×Dic13—44no—
987C2×Dic13C2512yes—
988C2×Dic13C2512yes—
989C2×Dic13C2512yes—
990C2×Dic13C2512yes—
991C2×Dic13C2512yes—
992C2×Dic13C2512yes—
993C2×Dic13C2512yes—
994C2×Dic13C2512yes—
995C2×Dic13C2512yes—
996C2×Dic13C2512yes—
997D52—28no—
998D52—28no—
999D52—28no—
1000D52—28no—
1001D52—28no—
1002D52—44no—
1003D52—44no—
1004D52—44no—
1005D52—44no—
1006D52—44no—
1007C4×D13—28no—
1008C4×D13—28no—
1009C4×D13—28no—
1010C4×D13—44no—
1011C4×D13—44no—
1012C4×D13—44no—
1013C4×D13—44no—
1014C4×D13—44no—
1015C4×D13—44no—
1016C4×D13—44no—
1017C4×D13—44no—
1018C4×D13—44no—
1019C4×D13—44no—
1020C4×D13—44no—
1021C4×D13—44no—
1022C4×D13—44no—
1023Dic26—44no—
1024Dic26—44no—
1025C22×#41—131no—
1026C22×#41—131no—
1027C22×#41—131no—
1028C23×D4—131no—
1029C23×D4—131no—
1030C23×D4—131no—
1031C23×D4—131no—
1032C23×D4—131no—
1033C23×D4—131no—
1034C23×D4—131no—
1035C23×D4—131no—
1036C24×C4—131no—
1037#562—1316no—
1038#562—1316no—
1039#560—1316no—
1040#560—1316no—
1041#553—1316no—
1042#553—1316no—
1043#551—1316no—
1044#551—1316no—
1045#546—1316no—
1046#546—1316no—
1047#546—1316no—
1048#546—1316no—
1049#546—1316no—
1050#546—1316no—
1051D42—1316no—
1052D42—1316no—
1053#540—1316no—
1054#540—1316no—
1055#539—1316no—
1056#539—1316no—
1057#539—1316no—
1058#538—1316no—
1059#538—1316no—
1060#538C2×D13116yescomplemented
1061#537—1316no—
1062#534—1316no—
1063#534—1316no—
1064#534—1316no—
1065C2×#127—131no—
1066C2×#127—131no—
1067C2×#126—131no—
1068C2×#126—131no—
1069C2×#126—131no—
1070C2×#126—131no—
1071C2×#126—131no—
1072C2×#126—131no—
1073C2×#126C2×D1311yescharacteristic, complemented
1074C2×#126C2×D1311yescharacteristic, complemented
1075C2×#125—131no—
1076C2×#125—131no—
1077C2×#125—131no—
1078C2×#125—131no—
1079C2×#124—131no—
1080C2×#124—131no—
1081C2×#124—131no—
1082C2×#124—131no—
1083C2×#124C2×D1311yescharacteristic, complemented
1084C2×#124C2×D1311yescharacteristic, complemented
1085#525—1316no—
1086C2×#123—131no—
1087C2×#123—131no—
1088C2×#123—131no—
1089C2×#123—131no—
1090C2×#123—131no—
1091C2×#123—131no—
1092C2×#123—131no—
1093C2×#123—1316no—
1094C2×#123—131no—
1095C2×#123—131no—
1096C2×#123—131no—
1097C2×#123—131no—
1098C2×#123—131no—
1099C2×#123—131no—
1100C2×#123—131no—
1101C2×#123—131no—
1102C2×#123—131no—
1103C2×#123—131no—
1104C2×#123—131no—
1105C2×#123—131no—
1106C2×#123—131no—
1107C2×#123—131no—
1108C2×#123—131no—
1109C2×#123—131no—
1110C2×#123—131no—
1111C2×#123—131no—
1112C2×#123—131no—
1113C2×#123C2×D1311yescharacteristic, complemented
1114C2×#123C2×D1311yescharacteristic, complemented
1115C2×C22⋊Q8—131no—
1116C2×C22⋊Q8—131no—
1117C2×C22⋊Q8—131no—
1118C2×C22⋊Q8—131no—
1119C2×C22⋊Q8—131no—
1120C2×C22⋊Q8—131no—
1121C2×C22⋊Q8—131no—
1122C2×C22⋊Q8—131no—
1123C2×C22⋊Q8—131no—
1124C2×C22⋊Q8—131no—
1125C2×C22⋊Q8—131no—
1126C2×C22⋊Q8C2×D1311yescharacteristic, complemented
1127C2×#121—131no—
1128C2×#121—131no—
1129C2×#121—131no—
1130C2×#121—131no—
1131C2×#121—131no—
1132C2×#121—131no—
1133C2×#121—131no—
1134C2×#121—131no—
1135C2×#121—131no—
1136C2×#121—131no—
1137C2×#121—131no—
1138C2×#121—131no—
1139C2×#121—131no—
1140C2×#121—131no—
1141C2×#121—1316no—
1142C2×#121—131no—
1143C2×#121—131no—
1144C2×#121—131no—
1145C2×#121—131no—
1146C2×#121—131no—
1147C2×#121—131no—
1148C2×#121—131no—
1149C2×#121—131no—
1150C2×#121—131no—
1151C2×#121—131no—
1152C2×#121—131no—
1153C2×#121—131no—
1154C2×#121—131no—
1155C2×#121—131no—
1156C2×#121—131no—
1157C2×#121—131no—
1158C2×#121—131no—
1159C2×#121—131no—
1160C2×#121—131no—
1161C2×#121C2×D1311yescharacteristic, complemented
1162C2×#121C2×D1311yescharacteristic, complemented
1163C2×#121C2×D1311yescharacteristic, complemented
1164C2×#120—131no—
1165C2×#120—131no—
1166C2×#120—131no—
1167C2×#120—131no—
1168C2×#120—131no—
1169C2×#120—131no—
1170C2×#120—131no—
1171C2×#120—131no—
1172C2×#120—131no—
1173C2×#120—131no—
1174C2×#120—131no—
1175C2×#120—131no—
1176C2×#120—131no—
1177C2×#120—131no—
1178C2×#120C2×D1311yescharacteristic, complemented
1179C2×#120C2×D1311yescharacteristic, complemented
1180C2×C4×D4—131no—
1181C2×C4×D4—131no—
1182C2×C4×D4—131no—
1183C2×C4×D4—131no—
1184C2×C4×D4—131no—
1185C2×C4×D4—131no—
1186C2×C4×D4—131no—
1187C2×C4×D4—131no—
1188C2×C4×D4—131no—
1189C2×C4×D4—131no—
1190C2×C4×D4—131no—
1191C2×C4×D4—131no—
1192C2×C4×D4—131no—
1193C2×C4×D4—131no—
1194C2×C4×D4C2×D1311yescharacteristic, complemented
1195C2×C4×D4C2×D1311yescharacteristic, complemented
1196C2×#117—131no—
1197C2×#117—131no—
1198C2×#117—131no—
1199C22×C4⋊C4—131no—
1200C22×C4⋊C4—131no—
1201C22×C4⋊C4—131no—
1202C22×C22⋊C4—131no—
1203C22×C22⋊C4—131no—
1204C22×C22⋊C4—131no—
1205C22×C22⋊C4—131no—
1206C22×C22⋊C4—131no—
1207C22×C22⋊C4—131no—
1208C22×C22⋊C4—131no—
1209C22×C22⋊C4—131no—
1210C22×C22⋊C4C2×D1311yescharacteristic, complemented
1211C22×C13—22no—
1212C22×C13—22no—
1213C22×C13—22no—
1214C22×C13—22no—
1215C22×C13—22no—
1216C22×C13—22no—
1217C22×C13—22no—
1218C22×C13—22no—
1219C22×C13—22no—
1220C22×C13—22no—
1221C22×C13—22no—
1222C22×C13—22no—
1223C22×C13—22no—
1224C22×C13—22no—
1225C22×C13—22no—
1226C22×C13—44no—
1227C22×C13—44no—
1228C22×C13—44no—
1229C22×C13—44no—
1230C22×C13—44no—
1231C22×C13—88no—
1232C22×C13C2×H(5,𝔽2)12yes—
1233C22×C13C2×H(5,𝔽2)12yes—
1234C22×C13#58512yes—
1235C22×C13C2611yescharacteristic
1236C2×D13—22no—
1237C2×D13—22no—
1238C2×D13—22no—
1239C2×D13—22no—
1240C2×D13—28no—
1241C2×D13—28no—
1242C2×D13—22no—
1243C2×D13—22no—
1244C2×D13—22no—
1245C2×D13—22no—
1246C2×D13—22no—
1247C2×D13—22no—
1248C2×D13—22no—
1249C2×D13—22no—
1250C2×D13—22no—
1251C2×D13—22no—
1252C2×D13—22no—
1253C2×D13—22no—
1254C2×D13—416no—
1255C2×D13—44no—
1256C2×D13—44no—
1257C2×D13—44no—
1258C2×D13—44no—
1259C2×D13—88no—
1260C2×D13—88no—
1261C2×D13—88no—
1262C2×D13—88no—
1263C2×D13C2×H(5,𝔽2)14yes—
1264C2×D13C2×H(5,𝔽2)14yes—
1265C4×C13—22no—
1266C4×C13—22no—
1267C4×C13—22no—
1268C4×C13—22no—
1269C4×C13—22no—
1270C4×C13—22no—
1271C4×C13—22no—
1272C4×C13—22no—
1273C4×C13—22no—
1274C4×C13—22no—
1275Dic13—22no—
1276Dic13—22no—
1277Dic13—22no—
1278Dic13—22no—
1279Dic13—22no—
1280Dic13—22no—
1281Dic13—22no—
1282Dic13—22no—
1283Dic13—22no—
1284Dic13—22no—
1285C25—131no—
1286C25—131no—
1287C25—131no—
1288C25—131no—
1289C25—131no—
1290C25C22×D1311yescharacteristic
1291C2×#41—138no—
1292C2×#41—138no—
1293C2×#41—138no—
1294C2×#41—524no—
1295C2×#41—524no—
1296C2×#41—524no—
1297C22×Q8—131no—
1298C22×Q8—131no—
1299C22×Q8C22×D1311yescharacteristic
1300C22×D4—131no—
1301C22×D4—131no—
1302C22×D4—131no—
1303C22×D4—131no—
1304C22×D4—131no—
1305C22×D4—131no—
1306C22×D4—131no—
1307C22×D4—131no—
1308C22×D4—131no—
1309C22×D4—131no—
1310C22×D4—131no—
1311C22×D4—131no—
1312C22×D4—131no—
1313C22×D4—131no—
1314C22×D4—131no—
1315C22×D4—131no—
1316C22×D4—131no—
1317C22×D4—131no—
1318C22×D4—131no—
1319C22×D4—131no—
1320C22×D4—138no—
1321C22×D4—138no—
1322C22×D4—138no—
1323C22×D4—138no—
1324C22×D4—138no—
1325C22×D4—138no—
1326C22×D4—138no—
1327C22×D4—131no—
1328C22×D4—131no—
1329C22×D4—131no—
1330C22×D4—131no—
1331C22×D4—131no—
1332C22×D4—131no—
1333C22×D4—131no—
1334C22×D4—131no—
1335C22×D4—131no—
1336C22×D4—131no—
1337C22×D4—138no—
1338C22×D4—524no—
1339C22×D4—524no—
1340C22×D4—524no—
1341C22×D4—524no—
1342C22×D4—524no—
1343C22×D4—524no—
1344C22×D4—524no—
1345C22×D4—524no—
1346C22×D4C22×D1311yescharacteristic
1347C22×D4C22×D1311yescharacteristic
1348C22×D4C22×D1311yescharacteristic
1349C22×D4C22×D1311yescharacteristic
1350C22×D4C22×D1311yescharacteristic
1351C22×D4C22×D1311yescharacteristic
1352C22×D4C22×D1311yescharacteristic
1353C23×C4—131no—
1354C23×C4—131no—
1355C23×C4—131no—
1356C23×C4—131no—
1357C23×C4—131no—
1358C23×C4—131no—
1359C23×C4—131no—
1360C23×C4—131no—
1361C23×C4—131no—
1362C23×C4—131no—
1363C23×C4—131no—
1364C23×C4—131no—
1365C23×C4—131no—
1366C23×C4—131no—
1367C23×C4—131no—
1368C23×C4—131no—
1369C23×C4—131no—
1370C23×C4—131no—
1371C23×C4—131no—
1372C23×C4—138no—
1373C23×C4—524no—
1374C23×C4C22×D1311yescharacteristic
1375C23×C4C22×D1311yescharacteristic
1376C23×C4C22×D1311yescharacteristic
1377C23×C4C22×D1311yescharacteristic
1378#127—138no—
1379#127—138no—
1380#126—138no—
1381#126—138no—
1382#126—138no—
1383#126—138no—
1384#126—138no—
1385#126—138no—
1386#126C22×D1318yescomplemented
1387#126C22×D1318yescomplemented
1388#125—138no—
1389#125—138no—
1390#125—138no—
1391#125—138no—
1392#124—138no—
1393#124—138no—
1394#124—138no—
1395#124—138no—
1396#124C22×D1318yescomplemented
1397#124C22×D1318yescomplemented
1398#123—138no—
1399#123—138no—
1400#123—138no—
1401#123—138no—
1402#123—138no—
1403#123—138no—
1404#123—138no—
1405#123—138no—
1406#123—138no—
1407#123—138no—
1408#123—138no—
1409#123—138no—
1410#123—138no—
1411#123—138no—
1412#123—138no—
1413#123—138no—
1414#123—138no—
1415#123—138no—
1416#123—138no—
1417#123—138no—
1418#123—138no—
1419#123—138no—
1420#123—138no—
1421#123—138no—
1422#123—138no—
1423#123—138no—
1424#123C22×D1318yescomplemented
1425#123C22×D1318yescomplemented
1426C22⋊Q8—138no—
1427C22⋊Q8—138no—
1428C22⋊Q8—138no—
1429C22⋊Q8—138no—
1430C22⋊Q8—138no—
1431C22⋊Q8—138no—
1432C22⋊Q8—138no—
1433C22⋊Q8—138no—
1434C22⋊Q8—138no—
1435C22⋊Q8—138no—
1436C22⋊Q8—138no—
1437C22⋊Q8C22×D1318yescomplemented
1438#121—138no—
1439#121—138no—
1440#121—138no—
1441#121—138no—
1442#121—138no—
1443#121—138no—
1444#121—138no—
1445#121—138no—
1446#121—138no—
1447#121—138no—
1448#121—138no—
1449#121—138no—
1450#121—138no—
1451#121—138no—
1452#121—138no—
1453#121—138no—
1454#121—138no—
1455#121—138no—
1456#121—138no—
1457#121—138no—
1458#121—138no—
1459#121—138no—
1460#121—138no—
1461#121—138no—
1462#121—138no—
1463#121—138no—
1464#121—138no—
1465#121—138no—
1466#121—138no—
1467#121—138no—
1468#121—138no—
1469#121—138no—
1470#121—138no—
1471#121C22×D1318yescomplemented
1472#121C22×D1318yescomplemented
1473#121C22×D1318yescomplemented
1474#120—138no—
1475#120—138no—
1476#120—138no—
1477#120—138no—
1478#120—138no—
1479#120—138no—
1480#120—138no—
1481#120—138no—
1482#120—138no—
1483#120—138no—
1484#120—138no—
1485#120—138no—
1486#120—138no—
1487#120—138no—
1488#120C22×D1318yescomplemented
1489#120C22×D1318yescomplemented
1490C4×D4—138no—
1491C4×D4—138no—
1492C4×D4—138no—
1493C4×D4—138no—
1494C4×D4—138no—
1495C4×D4—138no—
1496C4×D4—138no—
1497C4×D4—138no—
1498C4×D4—138no—
1499C4×D4—138no—
1500C4×D4—138no—
1501C4×D4—138no—
1502C4×D4—138no—
1503C4×D4—138no—
1504C4×D4C22×D1318yescomplemented
1505C4×D4C22×D1318yescomplemented
1506#117—138no—
1507#117—138no—
1508#117—138no—
1509C2×C4⋊C4—131no—
1510C2×C4⋊C4—131no—
1511C2×C4⋊C4—131no—
1512C2×C4⋊C4—131no—
1513C2×C4⋊C4—131no—
1514C2×C4⋊C4—131no—
1515C2×C4⋊C4—131no—
1516C2×C4⋊C4—131no—
1517C2×C4⋊C4—131no—
1518C2×C4⋊C4—131no—
1519C2×C4⋊C4—131no—
1520C2×C4⋊C4—131no—
1521C2×C4⋊C4—131no—
1522C2×C4⋊C4—131no—
1523C2×C4⋊C4—131no—
1524C2×C4⋊C4—131no—
1525C2×C4⋊C4—131no—
1526C2×C4⋊C4—131no—
1527C2×C4⋊C4—131no—
1528C2×C4⋊C4—131no—
1529C2×C4⋊C4—131no—
1530C2×C4⋊C4—131no—
1531C2×C4⋊C4—131no—
1532C2×C4⋊C4—131no—
1533C2×C4⋊C4—138no—
1534C2×C4⋊C4—138no—
1535C2×C4⋊C4—138no—
1536C2×C4⋊C4C22×D1311yescharacteristic
1537C2×C4⋊C4C22×D1311yescharacteristic
1538C2×C4⋊C4C22×D1311yescharacteristic
1539C2×C4⋊C4C22×D1311yescharacteristic
1540C2×C4⋊C4C22×D1311yescharacteristic
1541C2×C4⋊C4C22×D1311yescharacteristic
1542C2×C22⋊C4—131no—
1543C2×C22⋊C4—131no—
1544C2×C22⋊C4—131no—
1545C2×C22⋊C4—131no—
1546C2×C22⋊C4—131no—
1547C2×C22⋊C4—131no—
1548C2×C22⋊C4—131no—
1549C2×C22⋊C4—131no—
1550C2×C22⋊C4—131no—
1551C2×C22⋊C4—131no—
1552C2×C22⋊C4—131no—
1553C2×C22⋊C4—131no—
1554C2×C22⋊C4—131no—
1555C2×C22⋊C4—131no—
1556C2×C22⋊C4—131no—
1557C2×C22⋊C4—131no—
1558C2×C22⋊C4—131no—
1559C2×C22⋊C4—131no—
1560C2×C22⋊C4—131no—
1561C2×C22⋊C4—131no—
1562C2×C22⋊C4—131no—
1563C2×C22⋊C4—131no—
1564C2×C22⋊C4—131no—
1565C2×C22⋊C4—131no—
1566C2×C22⋊C4—131no—
1567C2×C22⋊C4—131no—
1568C2×C22⋊C4—131no—
1569C2×C22⋊C4—131no—
1570C2×C22⋊C4—131no—
1571C2×C22⋊C4—131no—
1572C2×C22⋊C4—131no—
1573C2×C22⋊C4—131no—
1574C2×C22⋊C4—131no—
1575C2×C22⋊C4—131no—
1576C2×C22⋊C4—131no—
1577C2×C22⋊C4—131no—
1578C2×C22⋊C4—138no—
1579C2×C22⋊C4—138no—
1580C2×C22⋊C4—138no—
1581C2×C22⋊C4—138no—
1582C2×C22⋊C4—138no—
1583C2×C22⋊C4—138no—
1584C2×C22⋊C4—138no—
1585C2×C22⋊C4—138no—
1586C2×C22⋊C4C22×D1311yescharacteristic
1587C2×C22⋊C4C22×D1311yescharacteristic
1588C2×C22⋊C4C22×D1311yescharacteristic
1589C2×C22⋊C4C22×D1311yescharacteristic
1590C2×C22⋊C4C22×D1311yescharacteristic
1591C2×C22⋊C4C22×D1311yescharacteristic
1592C2×C22⋊C4C22×D1311yescharacteristic
1593C2×C22⋊C4C22×D1311yescharacteristic
1594C2×C22⋊C4C22×D1311yescharacteristic
1595C2×C22⋊C4C22×D1311yescharacteristic
1596C2×C22⋊C4C22×D1311yescharacteristic
1597C2×C22⋊C4C22×D1311yescharacteristic
1598C2×C22⋊C4C22×D1311yescharacteristic
1599C2×C22⋊C4C22×D1311yescharacteristic
1600C2×C22⋊C4C22×D1318yescomplemented
1601C2×C42—131no—
1602C2×C42—131no—
1603C2×C42—131no—
1604C2×C42—131no—
1605C2×C42C22×D1311yescharacteristic
1606C2×C42C22×D1311yescharacteristic
1607C2×C13—42no—
1608C2×C13—42no—
1609C2×C13—42no—
1610C2×C13—42no—
1611C2×C13—42no—
1612C2×C13#353414yescomplemented
1613C2×C13C22×H(5,𝔽2)11yescharacteristic
1614C2×C13C22×H(5,𝔽2)11yescharacteristic
1615C2×C13C2×#58511yescharacteristic
1616D13—24no—
1617D13—24no—
1618D13—42no—
1619D13—42no—
1620D13—42no—
1621D13—42no—
1622C24—42no—
1623C24—42no—
1624C24—42no—
1625C24—131no—
1626C24—131no—
1627C24—131no—
1628C24—131no—
1629C24—131no—
1630C24—131no—
1631C24—134no—
1632C24—134no—
1633C24—134no—
1634C24—134no—
1635C24—134no—
1636C24—264no—
1637C24—264no—
1638C24—264no—
1639C24—264no—
1640C24—264no—
1641C24—522no—
1642C24—522no—
1643C24—522no—
1644C24—522no—
1645C24—522no—
1646C24—522no—
1647C24—522no—
1648C24—522no—
1649C24—522no—
1650C24—522no—
1651C24C23×D1311yescharacteristic
1652C24C23×D1311yescharacteristic
1653C24C23×D1311yescharacteristic
1654C24C23×D1311yescharacteristic
1655C24C23×D1311yescharacteristic
1656C24C23×D1314yes—
1657#41—5216no—
1658#41—5216no—
1659#41—5216no—
1660C2×Q8—42no—
1661C2×Q8—134no—
1662C2×Q8—134no—
1663C2×Q8—522no—
1664C2×Q8—522no—
1665C2×Q8C23×D1314yes—
1666C2×D4—42no—
1667C2×D4—42no—
1668C2×D4—42no—
1669C2×D4—42no—
1670C2×D4—42no—
1671C2×D4—42no—
1672C2×D4—42no—
1673C2×D4—134no—
1674C2×D4—134no—
1675C2×D4—134no—
1676C2×D4—134no—
1677C2×D4—134no—
1678C2×D4—134no—
1679C2×D4—134no—
1680C2×D4—134no—
1681C2×D4—134no—
1682C2×D4—134no—
1683C2×D4—134no—
1684C2×D4—134no—
1685C2×D4—134no—
1686C2×D4—134no—
1687C2×D4—134no—
1688C2×D4—134no—
1689C2×D4—134no—
1690C2×D4—134no—
1691C2×D4—134no—
1692C2×D4—134no—
1693C2×D4—134no—
1694C2×D4—134no—
1695C2×D4—134no—
1696C2×D4—134no—
1697C2×D4—134no—
1698C2×D4—134no—
1699C2×D4—134no—
1700C2×D4—134no—
1701C2×D4—134no—
1702C2×D4—134no—
1703C2×D4—264no—
1704C2×D4—264no—
1705C2×D4—264no—
1706C2×D4—264no—
1707C2×D4—264no—
1708C2×D4—264no—
1709C2×D4—264no—
1710C2×D4—264no—
1711C2×D4—264no—
1712C2×D4—264no—
1713C2×D4—522no—
1714C2×D4—522no—
1715C2×D4—522no—
1716C2×D4—522no—
1717C2×D4—522no—
1718C2×D4—5216no—
1719C2×D4—5216no—
1720C2×D4—522no—
1721C2×D4—522no—
1722C2×D4—522no—
1723C2×D4—522no—
1724C2×D4—522no—
1725C2×D4—522no—
1726C2×D4—522no—
1727C2×D4—522no—
1728C2×D4—522no—
1729C2×D4—522no—
1730C2×D4—522no—
1731C2×D4—522no—
1732C2×D4—522no—
1733C2×D4—522no—
1734C2×D4—522no—
1735C2×D4—5216no—
1736C2×D4—5216no—
1737C2×D4—5216no—
1738C2×D4—5216no—
1739C2×D4—5216no—
1740C2×D4—5216no—
1741C2×D4C23×D1314yes—
1742C2×D4C23×D1314yes—
1743C2×D4C23×D1314yes—
1744C2×D4C23×D1314yes—
1745C2×D4C23×D1314yes—
1746C2×D4C23×D1314yes—
1747C2×D4C23×D1314yes—
1748C22×C4—42no—
1749C22×C4—42no—
1750C22×C4—42no—
1751C22×C4—42no—
1752C22×C4—131no—
1753C22×C4—131no—
1754C22×C4—131no—
1755C22×C4—131no—
1756C22×C4—131no—
1757C22×C4—131no—
1758C22×C4—131no—
1759C22×C4—131no—
1760C22×C4—131no—
1761C22×C4—131no—
1762C22×C4—134no—
1763C22×C4—134no—
1764C22×C4—134no—
1765C22×C4—134no—
1766C22×C4—134no—
1767C22×C4—134no—
1768C22×C4—134no—
1769C22×C4—134no—
1770C22×C4—134no—
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—264no—
1782C22×C4—264no—
1783C22×C4—264no—
1784C22×C4—522no—
1785C22×C4—522no—
1786C22×C4—522no—
1787C22×C4—522no—
1788C22×C4—522no—
1789C22×C4—522no—
1790C22×C4—522no—
1791C22×C4—522no—
1792C22×C4—522no—
1793C22×C4—522no—
1794C22×C4—522no—
1795C22×C4—522no—
1796C22×C4—522no—
1797C22×C4—5216no—
1798C22×C4—522no—
1799C22×C4—522no—
1800C22×C4—522no—
1801C22×C4C23×D1311yescharacteristic
1802C22×C4C23×D1311yescharacteristic
1803C22×C4C23×D1311yescharacteristic
1804C22×C4C23×D1311yescharacteristic
1805C22×C4C23×D1311yescharacteristic
1806C22×C4C23×D1311yescharacteristic
1807C22×C4C23×D1311yescharacteristic
1808C22×C4C23×D1311yescharacteristic
1809C22×C4C23×D1311yescharacteristic
1810C22×C4C23×D1311yescharacteristic
1811C22×C4C23×D1314yes—
1812C22×C4C23×D1314yes—
1813C22×C4C23×D1314yes—
1814C22×C4C23×D1314yes—
1815C4⋊C4—134no—
1816C4⋊C4—134no—
1817C4⋊C4—134no—
1818C4⋊C4—134no—
1819C4⋊C4—134no—
1820C4⋊C4—134no—
1821C4⋊C4—134no—
1822C4⋊C4—134no—
1823C4⋊C4—134no—
1824C4⋊C4—134no—
1825C4⋊C4—134no—
1826C4⋊C4—134no—
1827C4⋊C4—134no—
1828C4⋊C4—134no—
1829C4⋊C4—134no—
1830C4⋊C4—134no—
1831C4⋊C4—134no—
1832C4⋊C4—134no—
1833C4⋊C4—134no—
1834C4⋊C4—134no—
1835C4⋊C4—134no—
1836C4⋊C4—134no—
1837C4⋊C4—134no—
1838C4⋊C4—134no—
1839C4⋊C4C23×D1314yes—
1840C4⋊C4C23×D1314yes—
1841C4⋊C4C23×D1314yes—
1842C4⋊C4C23×D1314yes—
1843C4⋊C4C23×D1314yes—
1844C4⋊C4C23×D1314yes—
1845C22⋊C4—134no—
1846C22⋊C4—134no—
1847C22⋊C4—134no—
1848C22⋊C4—134no—
1849C22⋊C4—134no—
1850C22⋊C4—134no—
1851C22⋊C4—134no—
1852C22⋊C4—134no—
1853C22⋊C4—134no—
1854C22⋊C4—134no—
1855C22⋊C4—134no—
1856C22⋊C4—134no—
1857C22⋊C4—134no—
1858C22⋊C4—134no—
1859C22⋊C4—134no—
1860C22⋊C4—134no—
1861C22⋊C4—134no—
1862C22⋊C4—134no—
1863C22⋊C4—134no—
1864C22⋊C4—134no—
1865C22⋊C4—134no—
1866C22⋊C4—134no—
1867C22⋊C4—134no—
1868C22⋊C4—134no—
1869C22⋊C4—134no—
1870C22⋊C4—134no—
1871C22⋊C4—134no—
1872C22⋊C4—134no—
1873C22⋊C4—134no—
1874C22⋊C4—134no—
1875C22⋊C4—134no—
1876C22⋊C4—134no—
1877C22⋊C4—134no—
1878C22⋊C4—134no—
1879C22⋊C4—134no—
1880C22⋊C4—134no—
1881C22⋊C4C23×D1314yes—
1882C22⋊C4C23×D1314yes—
1883C22⋊C4C23×D1314yes—
1884C22⋊C4C23×D1314yes—
1885C22⋊C4C23×D1314yes—
1886C22⋊C4C23×D1314yes—
1887C22⋊C4C23×D1314yes—
1888C22⋊C4C23×D1314yes—
1889C22⋊C4C23×D1314yes—
1890C22⋊C4C23×D1314yes—
1891C22⋊C4C23×D1314yes—
1892C22⋊C4C23×D1314yes—
1893C22⋊C4C23×D1314yes—
1894C22⋊C4C23×D1314yes—
1895C42—134no—
1896C42—134no—
1897C42—134no—
1898C42—134no—
1899C42C23×D1314yes—
1900C42C23×D1314yes—
1901C13C2×#353411yescharacteristic, complemented, Sylow
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—22no—
1916C23—22no—
1917C23—44no—
1918C23—44no—
1919C23—44no—
1920C23—88no—
1921C23—134no—
1922C23—134no—
1923C23—132no—
1924C23—132no—
1925C23—132no—
1926C23—132no—
1927C23—132no—
1928C23—132no—
1929C23—268no—
1930C23—268no—
1931C23—268no—
1932C23—268no—
1933C23—268no—
1934C23—262no—
1935C23—262no—
1936C23—262no—
1937C23—262no—
1938C23—262no—
1939C23—262no—
1940C23—262no—
1941C23—262no—
1942C23—262no—
1943C23—262no—
1944C23—262no—
1945C23—262no—
1946C23—262no—
1947C23—262no—
1948C23—262no—
1949C23—262no—
1950C23—524no—
1951C23—524no—
1952C23—524no—
1953C23—524no—
1954C23—524no—
1955C23—524no—
1956C23—524no—
1957C23—524no—
1958C23—524no—
1959C23—524no—
1960C23—5216no—
1961C23—1048no—
1962C23—1048no—
1963C23—1048no—
1964C23—1048no—
1965C23C24×D1312yes—
1966C23C24×D1312yes—
1967C23C24×D1312yes—
1968C23C24×D1312yes—
1969C23C24×D1312yes—
1970C23C24×D1311yescharacteristic
1971Q8—44no—
1972Q8—524no—
1973Q8—524no—
1974D4—44no—
1975D4—44no—
1976D4—44no—
1977D4—44no—
1978D4—44no—
1979D4—44no—
1980D4—44no—
1981D4—268no—
1982D4—268no—
1983D4—268no—
1984D4—268no—
1985D4—268no—
1986D4—268no—
1987D4—268no—
1988D4—268no—
1989D4—268no—
1990D4—268no—
1991D4—524no—
1992D4—524no—
1993D4—524no—
1994D4—524no—
1995D4—524no—
1996D4—524no—
1997D4—524no—
1998D4—524no—
1999D4—524no—
2000D4—524no—
2001D4—524no—
2002D4—524no—
2003D4—524no—
2004D4—524no—
2005D4—524no—
2006D4—524no—
2007D4—524no—
2008D4—524no—
2009D4—524no—
2010D4—524no—
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—22no—
2020C2×C4—22no—
2021C2×C4—44no—
2022C2×C4—44no—
2023C2×C4—44no—
2024C2×C4—44no—
2025C2×C4—132no—
2026C2×C4—132no—
2027C2×C4—132no—
2028C2×C4—132no—
2029C2×C4—132no—
2030C2×C4—132no—
2031C2×C4—132no—
2032C2×C4—132no—
2033C2×C4—132no—
2034C2×C4—132no—
2035C2×C4—268no—
2036C2×C4—268no—
2037C2×C4—268no—
2038C2×C4—262no—
2039C2×C4—262no—
2040C2×C4—262no—
2041C2×C4—262no—
2042C2×C4—262no—
2043C2×C4—262no—
2044C2×C4—262no—
2045C2×C4—262no—
2046C2×C4—262no—
2047C2×C4—262no—
2048C2×C4—524no—
2049C2×C4—524no—
2050C2×C4—524no—
2051C2×C4—524no—
2052C2×C4—524no—
2053C2×C4—524no—
2054C2×C4—524no—
2055C2×C4—524no—
2056C2×C4—524no—
2057C2×C4—524no—
2058C2×C4—524no—
2059C2×C4—524no—
2060C2×C4—524no—
2061C2×C4—524no—
2062C2×C4—524no—
2063C2×C4—524no—
2064C2×C4C24×D1312yes—
2065C2×C4C24×D1312yes—
2066C2×C4C24×D1312yes—
2067C2×C4C24×D1312yes—
2068C2×C4C24×D1312yes—
2069C2×C4C24×D1312yes—
2070C2×C4C24×D1312yes—
2071C2×C4C24×D1312yes—
2072C2×C4C24×D1312yes—
2073C2×C4C24×D1312yes—
2074C22—22no—
2075C22—22no—
2076C22—22no—
2077C22—22no—
2078C22—22no—
2079C22—22no—
2080C22—22no—
2081C22—22no—
2082C22—22no—
2083C22—22no—
2084C22—22no—
2085C22—22no—
2086C22—22no—
2087C22—22no—
2088C22—22no—
2089C22—44no—
2090C22—44no—
2091C22—44no—
2092C22—44no—
2093C22—44no—
2094C22—88no—
2095C22—134no—
2096C22—134no—
2097C22—268no—
2098C22—268no—
2099C22—262no—
2100C22—262no—
2101C22—262no—
2102C22—262no—
2103C22—262no—
2104C22—262no—
2105C22—262no—
2106C22—262no—
2107C22—262no—
2108C22—262no—
2109C22—262no—
2110C22—262no—
2111C22—262no—
2112C22—262no—
2113C22—262no—
2114C22—262no—
2115C22—5216no—
2116C22—524no—
2117C22—524no—
2118C22—524no—
2119C22—524no—
2120C22—1048no—
2121C22—1048no—
2122C22—1048no—
2123C22—1048no—
2124C22#1171964812yes—
2125C22D13×H(5,𝔽2)12yes—
2126C22D13×H(5,𝔽2)12yes—
2127C22C25×D1311yescharacteristic
2128C4—22no—
2129C4—22no—
2130C4—22no—
2131C4—22no—
2132C4—22no—
2133C4—22no—
2134C4—22no—
2135C4—22no—
2136C4—22no—
2137C4—22no—
2138C4—262no—
2139C4—262no—
2140C4—262no—
2141C4—262no—
2142C4—262no—
2143C4—262no—
2144C4—262no—
2145C4—262no—
2146C4—262no—
2147C4—262no—
2148C2—42no—
2149C2—42no—
2150C2—42no—
2151C2—42no—
2152C2—42no—
2153C2—264no—
2154C2—264no—
2155C2—522no—
2156C2—522no—
2157C2—522no—
2158C2—522no—
2159C2#1312902514yesdirect product factor
2160C2C2×D13×H(5,𝔽2)11yescharacteristic
2161C2C2×D13×H(5,𝔽2)11yescharacteristic
2162C2C2×#1171964811yescharacteristic
subgroupG/H
centerC23C24×D13
commutator, cosocleC22×C13C26
FrattiniC22C25×D13
FittingC2×C13×#538C2
socleC23×C13C25
hypercenterC2×#538D13
hypocenterC13C2×#3534
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C23 ◁ C2×#538

Complements

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

NH ≅ G/Ntype
1. #13129025C2direct (N × H)
2. C2×#11719326C2semidirect
3. C2×#11719389C2semidirect
4. C2×#11719300C2semidirect
5. C2×#11719325C2semidirect
6. C2×#11719414C2semidirect
7. C2×#11719263C2semidirect
8. C2×#11719384C2semidirect
9. C2×#11719410C2semidirect
10. C2×#11719317C2semidirect
11. C2×#11719255C2semidirect
12. C2×#11719381C2semidirect
13. C2×#11719381C2semidirect
14. C2×#11719195C2semidirect
15. C2×#11719195C2semidirect
16. C2×#11719314C2semidirect
17. C2×#11719295C2semidirect
18. C2×#11719368C2semidirect
19. C2×#11719267C2semidirect
20. C2×#11719343C2semidirect
21. C2×#11719365C2semidirect
22. C2×#11719412C2semidirect
23. C2×#11719409C2semidirect
24. C2×#11719318C2semidirect
25. C2×#11719334C2semidirect
26. C2×#11719358C2semidirect
27. C2×#11719294C2semidirect
28. C2×#11719294C2semidirect
29. C2×#11719252C2semidirect
30. C2×D13×#123C2semidirect
31. C2×D13×#121C2semidirect
32. C2×C13×#538C2semidirect
33. C23×C22⋊D13C22semidirect
34. C23×C22⋊D13C22semidirect
35. C22×#6131C22semidirect
37. C22×D4×D13C22semidirect
38. C22×D4×D13C22semidirect
39. C22×D4×D13C22semidirect
40. C22×D4×D13C22semidirect
41. C22×#6127C22semidirect
42. C22×#6127C22semidirect
43. C23×D52C22semidirect
44. C23×C4×D13C22semidirect
45. C13×#538C22semidirect
46. C2×C13×#126C22semidirect
47. C2×C13×#126C22semidirect
48. C2×C13×#124C22semidirect
49. C2×C13×#124C22semidirect
50. C2×C13×#123C22semidirect
51. C2×C13×#123C22semidirect
52. C2×C13×C22⋊Q8C22semidirect
53. C2×C13×#121C22semidirect
54. C2×C13×#121C22semidirect
55. C2×C13×#121C22semidirect
56. C2×C13×#120C22semidirect
57. C2×C13×#120C22semidirect
58. C2×C4×D4×C13C22semidirect
59. C2×C4×D4×C13C22semidirect
60. C22×C13×C22⋊C4C22semidirect
61. C2×#88207C22semidirect
62. C2×#88207C22semidirect
63. C2×#88200C22semidirect
64. C2×#88200C22semidirect
65. C2×#88200C22semidirect
66. C2×#88194C22semidirect
67. C2×#88194C22semidirect
68. C2×#88193C22semidirect
69. C2×#88193C22semidirect
70. C2×#88193C22semidirect
71. C2×#88193C22semidirect
72. C2×#88193C22semidirect
74. C2×#88192C22semidirect
75. C2×#88192C22semidirect
76. C2×#88192C22semidirect
77. C2×#88192C22semidirect
78. C2×#88192C22semidirect
80. C2×#88191C22semidirect
81. C2×#88191C22semidirect
82. C2×#88191C22semidirect
83. C2×#88191C22semidirect
84. C2×#88191C22semidirect
85. C2×#88190C22semidirect
86. C2×#88189C22semidirect
87. C2×#88189C22semidirect
88. C2×#88189C22semidirect
89. C2×#88184C22semidirect
90. C2×#88184C22semidirect
91. C2×#88184C22semidirect
92. C2×#88183C22semidirect
93. C2×#88183C22semidirect
94. C2×#88183C22semidirect
95. C2×#88183C22semidirect
96. C2×C4×C22⋊D13C22semidirect
97. C2×C4×C22⋊D13C22semidirect
98. C2×C4×C22⋊D13C22semidirect
99. C2×C4×C22⋊D13C22semidirect
100. C2×#88178C22semidirect
101. #11719414C22semidirect
102. #11719412C22semidirect
103. #11719410C22semidirect
104. #11719409C22semidirect
105. #11719389C22semidirect
106. #11719384C22semidirect
107. #11719381C22semidirect
108. #11719381C22semidirect
109. #11719368C22semidirect
110. #11719365C22semidirect
111. #11719358C22semidirect
112. D13×#123C22semidirect
113. #11719343C22semidirect
114. #11719334C22semidirect
115. #11719326C22semidirect
116. #11719325C22semidirect
117. #11719318C22semidirect
118. #11719317C22semidirect
119. #11719314C22semidirect
120. D13×#121C22semidirect
121. #11719300C22semidirect
122. #11719295C22semidirect
123. #11719294C22semidirect
124. #11719294C22semidirect
125. #11719267C22semidirect
126. #11719263C22semidirect
127. #11719255C22semidirect
128. #11719252C22semidirect
129. C2×#88152C22semidirect
130. C2×#88152C22semidirect
131. C2×#88151C22semidirect
132. C2×#88150C22semidirect
133. C2×#88150C22semidirect
134. C2×#88150C22semidirect
135. C2×#88149C22semidirect
136. C2×#88149C22semidirect
137. C2×#88149C22semidirect
138. C2×#88149C22semidirect
139. C2×#88148C22semidirect
140. C2×#88148C22semidirect
141. C2×#88148C22semidirect
142. C2×#88148C22semidirect
143. C2×#88148C22semidirect
144. C2×#88147C22semidirect
145. C2×#88147C22semidirect
146. C2×#88146C22semidirect
147. C2×C4⋊C4×D13C22semidirect
148. C2×C4⋊C4×D13C22semidirect
149. C2×C4⋊C4×D13C22semidirect
150. C2×#88144C22semidirect
151. C2×#88143C22semidirect
152. C2×#88143C22semidirect
153. C2×#88140C22semidirect
154. C2×#88140C22semidirect
155. C2×#88140C22semidirect
156. C2×#88139C22semidirect
157. C2×#88139C22semidirect
158. #11719195C22semidirect
159. #11719195C22semidirect
162. C2×#88138C22semidirect
163. C2×#88138C22semidirect
164. C2×#88138C22semidirect
165. C2×#88138C22semidirect
166. C2×#88138C22semidirect
167. C2×#88138C22semidirect
168. C2×#88138C22semidirect
169. C2×#88138C22semidirect
170. C2×#88138C22semidirect
171. C2×#88138C22semidirect
172. C2×#88138C22semidirect
173. C2×#88138C22semidirect
174. C2×#88138C22semidirect
175. C2×#88137C22semidirect
176. C2×#88137C22semidirect
177. C2×#88137C22semidirect
178. C2×#88137C22semidirect
179. C2×#88137C22semidirect
180. C2×#88137C22semidirect
181. C2×#88137C22semidirect
182. C2×#88137C22semidirect
183. C2×#88137C22semidirect
184. C2×#88137C22semidirect
185. C2×#88137C22semidirect
187. C2×#88136C22semidirect
188. C2×#88136C22semidirect
189. C2×#88136C22semidirect
190. C2×#88136C22semidirect
191. C2×#88136C22semidirect
192. C2×#88135C22semidirect
193. C2×#88135C22semidirect
194. C2×#88135C22semidirect
195. C2×#88135C22semidirect
196. C2×C22⋊C4×D13C22semidirect
197. C2×C22⋊C4×D13C22semidirect
198. C2×C22⋊C4×D13C22semidirect
199. C2×C22⋊C4×D13C22semidirect
200. C2×C22⋊C4×D13C22semidirect
201. C2×C22⋊C4×D13C22semidirect
202. C2×C22⋊C4×D13C22semidirect
203. C2×C22⋊C4×D13C22semidirect
204. C2×#88133C22semidirect
205. C2×#88133C22semidirect
206. C2×#88133C22semidirect
207. C2×#88133C22semidirect
208. C2×#88132C22semidirect
209. C2×#88132C22semidirect
210. C2×#88132C22semidirect
211. C2×#88129C22semidirect
212. C2×C4×D52C22semidirect
213. C2×C4×D52C22semidirect
214. C2×C4×D52C22semidirect
215. C2×C4×D52C22semidirect
216. C2×#88126C22semidirect
217. C2×#88126C22semidirect
218. C2×#88124C22semidirect
259. C22×C22⋊D13C23semidirect
260. C22×C22⋊D13C23semidirect
265. C2×#6131C23semidirect
272. C2×D4×D13C23semidirect
273. C2×D4×D13C23semidirect
274. C2×D4×D13C23semidirect
275. C2×D4×D13C23semidirect
278. C2×#6127C23semidirect
279. C2×#6127C23semidirect
291. C22×D52C23semidirect
309. C22×C4×D13C23semidirect
312. C13×#126C23semidirect
313. C13×#126C23semidirect
314. C13×#124C23semidirect
315. C13×#124C23semidirect
316. C13×#123C23semidirect
317. C13×#123C23semidirect
318. C13×C22⋊Q8C23semidirect
319. C13×#121C23semidirect
320. C13×#121C23semidirect
321. C13×#121C23semidirect
322. C13×#120C23semidirect
323. C13×#120C23semidirect
324. C4×D4×C13C23semidirect
325. C4×D4×C13C23semidirect
346. C2×C13×C22⋊C4C23semidirect
349. #88207C23semidirect
350. #88207C23semidirect
363. #88200C23semidirect
364. #88200C23semidirect
365. #88200C23semidirect
366. #88194C23semidirect
367. #88194C23semidirect
368. #88193C23semidirect
369. #88193C23semidirect
370. #88193C23semidirect
371. #88193C23semidirect
372. #88193C23semidirect
374. #88192C23semidirect
375. #88192C23semidirect
376. #88192C23semidirect
377. #88192C23semidirect
378. #88192C23semidirect
380. #88191C23semidirect
381. #88191C23semidirect
382. #88191C23semidirect
383. #88191C23semidirect
384. #88191C23semidirect
385. #88190C23semidirect
386. #88189C23semidirect
387. #88189C23semidirect
388. #88189C23semidirect
389. #88184C23semidirect
390. #88184C23semidirect
391. #88184C23semidirect
392. #88183C23semidirect
393. #88183C23semidirect
394. #88183C23semidirect
395. #88183C23semidirect
396. C4×C22⋊D13C23semidirect
397. C4×C22⋊D13C23semidirect
398. C4×C22⋊D13C23semidirect
399. C4×C22⋊D13C23semidirect
432. #88178C23semidirect
453. #88152C23semidirect
454. #88152C23semidirect
455. #88151C23semidirect
456. #88150C23semidirect
457. #88150C23semidirect
458. #88150C23semidirect
459. #88149C23semidirect
460. #88149C23semidirect
461. #88149C23semidirect
462. #88149C23semidirect
463. #88148C23semidirect
464. #88148C23semidirect
465. #88148C23semidirect
466. #88148C23semidirect
467. #88148C23semidirect
468. #88147C23semidirect
469. #88147C23semidirect
470. #88146C23semidirect
471. C4⋊C4×D13C23semidirect
472. C4⋊C4×D13C23semidirect
473. C4⋊C4×D13C23semidirect
474. #88144C23semidirect
475. #88143C23semidirect
476. #88143C23semidirect
477. #88140C23semidirect
478. #88140C23semidirect
479. #88140C23semidirect
480. #88139C23semidirect
481. #88139C23semidirect
484. #88138C23semidirect
485. #88138C23semidirect
486. #88138C23semidirect
487. #88138C23semidirect
488. #88138C23semidirect
489. #88138C23semidirect
490. #88138C23semidirect
491. #88138C23semidirect
492. #88138C23semidirect
493. #88138C23semidirect
494. #88138C23semidirect
495. #88138C23semidirect
496. #88138C23semidirect
497. #88137C23semidirect
498. #88137C23semidirect
499. #88137C23semidirect
500. #88137C23semidirect
501. #88137C23semidirect
502. #88137C23semidirect
503. #88137C23semidirect
504. #88137C23semidirect
505. #88137C23semidirect
506. #88137C23semidirect
507. #88137C23semidirect
509. #88136C23semidirect
510. #88136C23semidirect
511. #88136C23semidirect
512. #88136C23semidirect
513. #88136C23semidirect
514. #88135C23semidirect
515. #88135C23semidirect
516. #88135C23semidirect
517. #88135C23semidirect
518. C22⋊C4×D13C23semidirect
519. C22⋊C4×D13C23semidirect
520. C22⋊C4×D13C23semidirect
521. C22⋊C4×D13C23semidirect
522. C22⋊C4×D13C23semidirect
523. C22⋊C4×D13C23semidirect
524. C22⋊C4×D13C23semidirect
525. C22⋊C4×D13C23semidirect
526. #88133C23semidirect
527. #88133C23semidirect
528. #88133C23semidirect
529. #88133C23semidirect
530. #88132C23semidirect
531. #88132C23semidirect
532. #88132C23semidirect
533. #88129C23semidirect
534. C4×D52C23semidirect
535. C4×D52C23semidirect
536. C4×D52C23semidirect
537. C4×D52C23semidirect
538. #88126C23semidirect
539. #88126C23semidirect
540. #88124C23semidirect
845. C2×#538D13semidirect
1060. #538C2×D13semidirect
1073. C2×#126C2×D13semidirect
1074. C2×#126C2×D13semidirect
1083. C2×#124C2×D13semidirect
1084. C2×#124C2×D13semidirect
1113. C2×#123C2×D13semidirect
1114. C2×#123C2×D13semidirect
1126. C2×C22⋊Q8C2×D13semidirect
1161. C2×#121C2×D13semidirect
1162. C2×#121C2×D13semidirect
1163. C2×#121C2×D13semidirect
1178. C2×#120C2×D13semidirect
1179. C2×#120C2×D13semidirect
1194. C2×C4×D4C2×D13semidirect
1195. C2×C4×D4C2×D13semidirect
1210. C22×C22⋊C4C2×D13semidirect
1386. #126C22×D13semidirect
1387. #126C22×D13semidirect
1396. #124C22×D13semidirect
1397. #124C22×D13semidirect
1424. #123C22×D13semidirect
1425. #123C22×D13semidirect
1437. C22⋊Q8C22×D13semidirect
1471. #121C22×D13semidirect
1472. #121C22×D13semidirect
1473. #121C22×D13semidirect
1488. #120C22×D13semidirect
1489. #120C22×D13semidirect
1504. C4×D4C22×D13semidirect
1505. C4×D4C22×D13semidirect
1600. C2×C22⋊C4C22×D13semidirect
1612. C2×C13#3534semidirect
1901. C13C2×#3534semidirect
2159. C2#13129025direct (N × H)

Maximal subgroups

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

subgroupindex
#131290252
C2×#117193262
C2×#117193892
C2×#117193002
C2×#117193252
C2×#117194142
C2×#117192632
C2×#117193842
C2×#117194102
C2×#117193172
C2×#117192552
C2×#117193812
C2×#117191952
C2×#117193142
C2×#117192952
C2×#117193682
C2×#117192672
C2×#117193432
C2×#117193652
C2×#117194122
C2×#117194092
C2×#117193182
C2×#117193342
C2×#117193582
C2×#117192942
C2×#117192522
C2×D13×#1232
C2×D13×#1212
C2×C13×#5382
C2×#353413