Finite Group Databasebeta

← C2×#13128768 #16770880

Subgroups — C2×#13128768 #16770880

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#13128768C2132yesmaximal, direct product factor
2C2×#11719369C211yesmaximal, characteristic, complemented
3C2×#11719216C211yesmaximal, characteristic, complemented
4C2×#11719219C211yesmaximal, characteristic, complemented
5C2×#11719366C211yesmaximal, characteristic, complemented
6C2×#11719366C211yesmaximal, characteristic, complemented
7C2×#11719355C211yesmaximal, characteristic, complemented
8C2×#11719364C211yesmaximal, characteristic, complemented
9C2×#11719200C211yesmaximal, characteristic, complemented
10C2×#11719200C211yesmaximal, characteristic, complemented
11C2×#11719363C211yesmaximal, characteristic, complemented
12C2×#11719360C211yesmaximal, characteristic, complemented
13C2×#11719511C211yesmaximal, characteristic, complemented
14C2×#11719359C211yesmaximal, characteristic, complemented
15C2×#11719195C211yesmaximal, characteristic, complemented
16C2×#11719195C211yesmaximal, characteristic, complemented
17C2×D4×C22⋊D13C211yesmaximal, characteristic, complemented
18C2×#11719367C211yesmaximal, characteristic, complemented
19C2×#11719368C211yesmaximal, characteristic, complemented
20C2×#11719220C211yesmaximal, characteristic, complemented
21C2×#11719365C211yesmaximal, characteristic, complemented
22C2×#11719199C211yesmaximal, characteristic, complemented
23C2×#11719362C211yesmaximal, characteristic, complemented
24C2×#11719354C211yesmaximal, characteristic, complemented
25C2×#11719354C211yesmaximal, characteristic, complemented
26C2×#11719496C211yesmaximal, characteristic, complemented
27C2×#11719361C211yesmaximal, characteristic, complemented
28C2×D13×#123C211yesmaximal, characteristic, complemented
29C2×#11719209C211yesmaximal, characteristic, complemented
30C2×#11719191C211yesmaximal, characteristic, complemented
31C22×C4×C22⋊D13C211yesmaximal, characteristic, complemented
32C22×C13×#123C211yesmaximal, characteristic, complemented
33C23×D4×C13C2211yescharacteristic
34C24×C4×C13C2211yescharacteristic, complemented
35C23×C22⋊D13C2211yescharacteristic
36C23×C22⋊D13C2211yescharacteristic
37C22×#6129C2211yescharacteristic, complemented
38C22×D4×D13C2211yescharacteristic
39C22×#6127C2211yescharacteristic
40C22×#6127C2211yescharacteristic, complemented
41C23×C4×D13C2211yescharacteristic, complemented
42C2×C13×#123C2211yescharacteristic
43C2×C13×#123C2211yescharacteristic
44C2×C13×#123C2211yescharacteristic, complemented
45C2×C13×#123C2211yescharacteristic, complemented
46C2×C13×#123C2211yescharacteristic, complemented
47C2×C13×#123C2211yescharacteristic, complemented
48C2×C13×#123C2211yescharacteristic, complemented
49C2×C13×#123C2211yescharacteristic, complemented
50C2×C13×#123C22116yescomplemented
51C22×C13×C4⋊C4C2211yescharacteristic, complemented
52C22×C13×C4⋊C4C2211yescharacteristic, complemented
53C22×C13×C22⋊C4C2211yescharacteristic, complemented
54C22×C13×C22⋊C4C2211yescharacteristic, complemented
55C22×C13×C22⋊C4C2211yescharacteristic, complemented
56C2×#88207C2211yescharacteristic
57C2×#88207C2211yescharacteristic
58C2×#88207C2211yescharacteristic, complemented
59C2×#88207C2211yescharacteristic, complemented
60C22×C22⋊Dic13C2211yescharacteristic, complemented
61C22×C22⋊Dic13C2211yescharacteristic, complemented
62#11719511C22116yescomplemented
63C2×#88194C2211yescharacteristic
64C2×#88193C2211yescharacteristic
65C2×#88193C2211yescharacteristic
66C2×#88193C2211yescharacteristic
67C2×#88193C2211yescharacteristic, complemented
68D4×C22⋊D13C22116yescomplemented
69C2×#88192C2211yescharacteristic
70C2×#88192C2211yescharacteristic, complemented
71C2×#88191C2211yescharacteristic
72C2×#88191C2211yescharacteristic
73C2×#88190C2211yescharacteristic, complemented
74C2×#88189C2211yescharacteristic
75C2×#88189C2211yescharacteristic, complemented
76C2×D4×Dic13C2211yescharacteristic
77C2×D4×Dic13C2211yescharacteristic, complemented
78#11719496C22116yescomplemented
79C2×#88184C2211yescharacteristic
80C2×#88184C2211yescharacteristic, complemented
81C2×#88184C2211yescharacteristic, complemented
82C2×#88184C2211yescharacteristic, complemented
83C2×#88183C2211yescharacteristic, complemented
84C2×#88183C2211yescharacteristic, complemented
85C2×#88183C2211yescharacteristic, complemented
86C2×#88183C2211yescharacteristic, complemented
87C2×C4×C22⋊D13C2211yescharacteristic
88C2×C4×C22⋊D13C2211yescharacteristic
89C2×C4×C22⋊D13C2211yescharacteristic
90C2×C4×C22⋊D13C2211yescharacteristic
91C2×C4×C22⋊D13C2211yescharacteristic, complemented
92C2×C4×C22⋊D13C2211yescharacteristic, complemented
93C2×C4×C22⋊D13C2211yescharacteristic, complemented
94C2×C4×C22⋊D13C2211yescharacteristic, complemented
95C2×C4×C22⋊D13C2211yescharacteristic, complemented
96C2×C4×C22⋊D13C2211yescharacteristic, complemented
97C2×C4×C22⋊D13C2211yescharacteristic, complemented
98C2×C4×C22⋊D13C2211yescharacteristic, complemented
99C2×C4×C22⋊D13C2211yescharacteristic, complemented
100C2×C4×C22⋊D13C2211yescharacteristic, complemented
101C2×C4×C22⋊D13C2211yescharacteristic, complemented
102C2×C4×C22⋊D13C2211yescharacteristic, complemented
103C2×C4×C22⋊D13C22116yescomplemented
104C22×#6103C2211yescharacteristic, complemented
105C2×#88180C2211yescharacteristic, complemented
106C2×#88180C2211yescharacteristic, complemented
107C2×#88178C2211yescharacteristic, complemented
108C2×#88178C2211yescharacteristic, complemented
109C2×#88178C2211yescharacteristic, complemented
110C2×#88178C2211yescharacteristic, complemented
111C22×#6101C2211yescharacteristic, complemented
112C22×C4×Dic13C2211yescharacteristic, complemented
113#11719369C22116yescomplemented
114#11719368C22116yescomplemented
115#11719367C22116yescomplemented
116#11719366C22116yescomplemented
117#11719366C22116yescomplemented
118#11719365C22116yescomplemented
119#11719364C22116yescomplemented
120#11719363C22116yescomplemented
121#11719362C22116yescomplemented
122#11719361C22116yescomplemented
123#11719360C22116yescomplemented
124#11719359C22116yescomplemented
125D13×#123C22116yescomplemented
126#11719355C22116yescomplemented
127#11719354C22116yescomplemented
128#11719354C22116yescomplemented
129#11719220C22116yescomplemented
130#11719219C22116yescomplemented
131C2×#88152C2211yescharacteristic, complemented
132C2×#88152C2211yescharacteristic, complemented
133C2×#88152C2211yescharacteristic, complemented
134C2×#88152C2211yescharacteristic, complemented
135#11719216C22116yescomplemented
136C2×#88151C2211yescharacteristic, complemented
137C2×#88150C2211yescharacteristic, complemented
138C2×#88150C2211yescharacteristic, complemented
139C2×#88150C2211yescharacteristic, complemented
140C2×#88150C2211yescharacteristic, complemented
141C2×#88149C2211yescharacteristic, complemented
142C2×#88148C2211yescharacteristic, complemented
143C2×#88148C2211yescharacteristic, complemented
144C2×#88148C2211yescharacteristic, complemented
145C2×#88148C2211yescharacteristic, complemented
146#11719209C22116yescomplemented
147C2×#88147C2211yescharacteristic, complemented
148C2×#88147C2211yescharacteristic, complemented
149C2×#88147C2211yescharacteristic, complemented
150C2×#88146C2211yescharacteristic, complemented
151C2×#88146C2211yescharacteristic, complemented
152C2×#88146C2211yescharacteristic, complemented
153C2×C4⋊C4×D13C2211yescharacteristic, complemented
154C2×C4⋊C4×D13C2211yescharacteristic, complemented
155C2×C4⋊C4×D13C2211yescharacteristic, complemented
156C2×#88144C2211yescharacteristic, complemented
157C2×#88143C2211yescharacteristic, complemented
158C2×#88143C2211yescharacteristic, complemented
159C2×#88143C2211yescharacteristic, complemented
160C2×#88143C2211yescharacteristic, complemented
161C2×#88142C2211yescharacteristic, complemented
162C2×#88141C2211yescharacteristic, complemented
163C2×#88141C2211yescharacteristic, complemented
164C2×#88141C2211yescharacteristic, complemented
165#11719200C22116yescomplemented
166#11719200C22116yescomplemented
167#11719199C22116yescomplemented
168C2×#88140C2211yescharacteristic, complemented
169C2×#88140C2211yescharacteristic, complemented
170C2×#88139C2211yescharacteristic, complemented
171C2×#88139C2211yescharacteristic, complemented
172C2×#88139C2211yescharacteristic, complemented
173C2×#88139C2211yescharacteristic, complemented
174C2×#88139C2211yescharacteristic, complemented
175C2×#88139C2211yescharacteristic, complemented
176#11719195C22116yescomplemented
177#11719195C22116yescomplemented
178C2×#88138C2211yescharacteristic, complemented
179C2×#88138C2211yescharacteristic, complemented
180C2×#88138C2211yescharacteristic, complemented
181C2×#88138C2211yescharacteristic, complemented
182C2×#88138C2211yescharacteristic, complemented
183C2×#88138C2211yescharacteristic, complemented
184C2×#88137C2211yescharacteristic, complemented
185C2×#88137C2211yescharacteristic, complemented
186C2×#88137C2211yescharacteristic, complemented
187C2×#88137C2211yescharacteristic, complemented
188C2×#88137C2211yescharacteristic, complemented
189C2×#88137C2211yescharacteristic, complemented
190C2×#88136C2211yescharacteristic, complemented
191C2×#88136C2211yescharacteristic, complemented
192#11719191C22116yescomplemented
193C2×#88135C2211yescharacteristic, complemented
194C2×#88135C2211yescharacteristic, complemented
195C2×#88135C2211yescharacteristic, complemented
196C2×#88135C2211yescharacteristic, complemented
197C2×#88135C2211yescharacteristic, complemented
198C2×#88135C2211yescharacteristic, complemented
199C2×#88135C2211yescharacteristic, complemented
200C2×#88135C2211yescharacteristic, complemented
201C2×C22⋊C4×D13C2211yescharacteristic, complemented
202C2×C22⋊C4×D13C2211yescharacteristic, complemented
203C2×C22⋊C4×D13C2211yescharacteristic, complemented
204C2×C22⋊C4×D13C2211yescharacteristic, complemented
205C2×#88133C2211yescharacteristic, complemented
206C2×#88133C2211yescharacteristic, complemented
207C2×#88133C2211yescharacteristic, complemented
208C2×#88133C2211yescharacteristic, complemented
209C2×#88133C2211yescharacteristic, complemented
210C2×#88133C2211yescharacteristic, complemented
211C2×#88132C2211yescharacteristic, complemented
212C2×#88132C2211yescharacteristic, complemented
213C2×#88132C2211yescharacteristic, complemented
214C2×#88132C2211yescharacteristic, complemented
215C2×#88131C2211yescharacteristic, complemented
216C2×#88131C2211yescharacteristic, complemented
217C2×#88131C2211yescharacteristic, complemented
218C2×#88131C2211yescharacteristic, complemented
219C25×C13C2311yescharacteristic
220C25×C13C2311yescharacteristic
221C24×D13C2311yescharacteristic
222C24×D13C2311yescharacteristic
223C22×D4×C13—44no—
224C22×D4×C13C2311yescharacteristic
225C22×D4×C13C2311yescharacteristic
226C22×D4×C13C2311yescharacteristic
227C22×D4×C13C2311yescharacteristic
228C22×D4×C13C2318yes—
229C23×C4×C13—44no—
230C23×C4×C13C2311yescharacteristic
231C23×C4×C13C2311yescharacteristic
232C23×C4×C13C2311yescharacteristic
233C23×C4×C13C2311yescharacteristic
234C23×C4×C13C2311yescharacteristic
235C23×C4×C13C2311yescharacteristic
236C23×C4×C13C2311yescharacteristic
237C23×C4×C13C2311yescharacteristic
238C23×C4×C13C2311yescharacteristic
239C23×C4×C13C2318yescomplemented
240C22×C22⋊D13—28no—
241C22×C22⋊D13—28no—
242C22×C22⋊D13C2311yescharacteristic
243C22×C22⋊D13C2311yescharacteristic
244C22×C22⋊D13C2311yescharacteristic
245C22×C22⋊D13C2311yescharacteristic
246C22×C22⋊D13C2318yes—
247C22×C22⋊D13C2311yescharacteristic
248C22×C22⋊D13C2311yescharacteristic
249C22×C22⋊D13C2318yes—
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⋊D13C2311yescharacteristic
260C23×Dic13C2311yescharacteristic
261C23×Dic13C2311yescharacteristic
262C23×Dic13C2311yescharacteristic
263C23×Dic13C2311yescharacteristic
264C23×Dic13C2311yescharacteristic
265C23×Dic13C2311yescharacteristic
266C2×#6129—44no—
267C2×#6129C2318yescomplemented
268C2×D4×D13—44no—
269C2×D4×D13C2318yes—
270C2×#6127—28no—
271C2×#6127—44no—
272C2×#6127C2318yes—
273C2×#6127C2318yescomplemented
274C22×D52C2311yescharacteristic
275C22×D52C2311yescharacteristic
276C22×D52C2311yescharacteristic
277C22×D52C2311yescharacteristic
278C22×C4×D13—44no—
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×D13C2311yescharacteristic
289C22×C4×D13C2311yescharacteristic
290C22×C4×D13C2311yescharacteristic
291C22×C4×D13C2318yescomplemented
292C22×Dic26C2311yescharacteristic
293C22×Dic26C2311yescharacteristic
294C22×Dic26C2311yescharacteristic
295C22×Dic26C2311yescharacteristic
296C13×#123C2318yes—
297C13×#123C2318yes—
298C13×#123C2318yescomplemented
299C13×#123C2318yescomplemented
300C13×#123C2318yescomplemented
301C13×#123C2318yescomplemented
302C13×#123C2318yescomplemented
303C13×#123C2318yescomplemented
304C2×C13×C4⋊C4C2311yescharacteristic
305C2×C13×C4⋊C4C2311yescharacteristic
306C2×C13×C4⋊C4C2311yescharacteristic
307C2×C13×C4⋊C4C2311yescharacteristic
308C2×C13×C4⋊C4C2311yescharacteristic
309C2×C13×C4⋊C4C2311yescharacteristic
310C2×C13×C4⋊C4C2311yescharacteristic
311C2×C13×C4⋊C4C2311yescharacteristic
312C2×C13×C4⋊C4C2318yescomplemented
313C2×C13×C4⋊C4C2318yescomplemented
314C2×C13×C22⋊C4C2311yescharacteristic
315C2×C13×C22⋊C4C2311yescharacteristic
316C2×C13×C22⋊C4C2311yescharacteristic
317C2×C13×C22⋊C4C2311yescharacteristic
318C2×C13×C22⋊C4C2311yescharacteristic
319C2×C13×C22⋊C4C2311yescharacteristic
320C2×C13×C22⋊C4C2311yescharacteristic
321C2×C13×C22⋊C4C2311yescharacteristic
322C2×C13×C22⋊C4C2311yescharacteristic
323C2×C13×C22⋊C4C2311yescharacteristic
324C2×C13×C22⋊C4C2311yescharacteristic
325C2×C13×C22⋊C4C2311yescharacteristic
326C2×C13×C22⋊C4C2318yescomplemented
327C2×C13×C22⋊C4C2318yescomplemented
328C2×C13×C22⋊C4C2318yescomplemented
329#88207C2318yes—
330#88207C2318yes—
331#88207C2318yescomplemented
332#88207C2318yescomplemented
333C2×C22⋊Dic13C2311yescharacteristic
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
344C2×C22⋊Dic13C2311yescharacteristic
345C2×C22⋊Dic13C2311yescharacteristic
346C2×C22⋊Dic13C2311yescharacteristic
347C2×C22⋊Dic13C2311yescharacteristic
348C2×C22⋊Dic13C2311yescharacteristic
349C2×C22⋊Dic13C2318yescomplemented
350C2×C22⋊Dic13C2318yescomplemented
351#88194C2318yes—
352#88193C2318yes—
353#88193C2318yes—
354#88193C2318yes—
355#88193C2318yescomplemented
356#88192C2318yes—
357#88192C2318yescomplemented
358#88191C2318yes—
359#88191C2318yes—
360#88190C2318yescomplemented
361#88189C2318yes—
362#88189C2318yescomplemented
363D4×Dic13C2318yes—
364D4×Dic13C2318yescomplemented
365#88184C2318yes—
366#88184C2318yescomplemented
367#88184C2318yescomplemented
368#88184C2318yescomplemented
369#88183C2318yescomplemented
370#88183C2318yescomplemented
371#88183C2318yescomplemented
372#88183C2318yescomplemented
373C4×C22⋊D13C2318yes—
374C4×C22⋊D13C2318yes—
375C4×C22⋊D13C2318yes—
376C4×C22⋊D13C2318yes—
377C4×C22⋊D13C2318yescomplemented
378C4×C22⋊D13C2318yescomplemented
379C4×C22⋊D13C2318yescomplemented
380C4×C22⋊D13C2318yescomplemented
381C4×C22⋊D13C2318yescomplemented
382C4×C22⋊D13C2318yescomplemented
383C4×C22⋊D13C2318yescomplemented
384C4×C22⋊D13C2318yescomplemented
385C4×C22⋊D13C2318yescomplemented
386C4×C22⋊D13C2318yescomplemented
387C4×C22⋊D13C2318yescomplemented
388C4×C22⋊D13C2318yescomplemented
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×#6103C2311yescharacteristic
405C2×#6103C2311yescharacteristic
406C2×#6103C2311yescharacteristic
407C2×#6103C2311yescharacteristic
408C2×#6103C2311yescharacteristic
409C2×#6103C2318yescomplemented
410#88180C2318yescomplemented
411#88180C2318yescomplemented
412C2×C4⋊Dic13C2311yescharacteristic
413C2×C4⋊Dic13C2311yescharacteristic
414C2×C4⋊Dic13C2311yescharacteristic
415C2×C4⋊Dic13C2311yescharacteristic
416C2×C4⋊Dic13C2311yescharacteristic
417C2×C4⋊Dic13C2311yescharacteristic
418C2×C4⋊Dic13C2311yescharacteristic
419C2×C4⋊Dic13C2311yescharacteristic
420#88178C2318yescomplemented
421#88178C2318yescomplemented
422#88178C2318yescomplemented
423#88178C2318yescomplemented
424C2×#6101C2311yescharacteristic
425C2×#6101C2311yescharacteristic
426C2×#6101C2311yescharacteristic
427C2×#6101C2311yescharacteristic
428C2×#6101C2311yescharacteristic
429C2×#6101C2311yescharacteristic
430C2×#6101C2311yescharacteristic
431C2×#6101C2311yescharacteristic
432C2×#6101C2311yescharacteristic
433C2×#6101C2311yescharacteristic
434C2×#6101C2311yescharacteristic
435C2×#6101C2311yescharacteristic
436C2×#6101C2311yescharacteristic
437C2×#6101C2311yescharacteristic
438C2×#6101C2311yescharacteristic
439C2×#6101C2311yescharacteristic
440C2×#6101C2311yescharacteristic
441C2×#6101C2311yescharacteristic
442C2×#6101C2311yescharacteristic
443C2×#6101C2311yescharacteristic
444C2×#6101C2318yescomplemented
445C2×C4×Dic13C2311yescharacteristic
446C2×C4×Dic13C2311yescharacteristic
447C2×C4×Dic13C2311yescharacteristic
448C2×C4×Dic13C2311yescharacteristic
449C2×C4×Dic13C2311yescharacteristic
450C2×C4×Dic13C2311yescharacteristic
451C2×C4×Dic13C2311yescharacteristic
452C2×C4×Dic13C2311yescharacteristic
453C2×C4×Dic13C2311yescharacteristic
454C2×C4×Dic13C2311yescharacteristic
455C2×C4×Dic13C2311yescharacteristic
456C2×C4×Dic13C2311yescharacteristic
457C2×C4×Dic13C2318yescomplemented
458#88152C2318yescomplemented
459#88152C2318yescomplemented
460#88152C2318yescomplemented
461#88152C2318yescomplemented
462#88151C2318yescomplemented
463#88150C2318yescomplemented
464#88150C2318yescomplemented
465#88150C2318yescomplemented
466#88150C2318yescomplemented
467#88149C2318yescomplemented
468#88148C2318yescomplemented
469#88148C2318yescomplemented
470#88148C2318yescomplemented
471#88148C2318yescomplemented
472#88147C2318yescomplemented
473#88147C2318yescomplemented
474#88147C2318yescomplemented
475#88146C2318yescomplemented
476#88146C2318yescomplemented
477#88146C2318yescomplemented
478C4⋊C4×D13C2318yescomplemented
479C4⋊C4×D13C2318yescomplemented
480C4⋊C4×D13C2318yescomplemented
481#88144C2318yescomplemented
482#88143C2318yescomplemented
483#88143C2318yescomplemented
484#88143C2318yescomplemented
485#88143C2318yescomplemented
486#88142C2318yescomplemented
487#88141C2318yescomplemented
488#88141C2318yescomplemented
489#88141C2318yescomplemented
490#88140C2318yescomplemented
491#88140C2318yescomplemented
492#88139C2318yescomplemented
493#88139C2318yescomplemented
494#88139C2318yescomplemented
495#88139C2318yescomplemented
496#88139C2318yescomplemented
497#88139C2318yescomplemented
498#88138C2318yescomplemented
499#88138C2318yescomplemented
500#88138C2318yescomplemented
501#88138C2318yescomplemented
502#88138C2318yescomplemented
503#88138C2318yescomplemented
504#88137C2318yescomplemented
505#88137C2318yescomplemented
506#88137C2318yescomplemented
507#88137C2318yescomplemented
508#88137C2318yescomplemented
509#88137C2318yescomplemented
510#88136C2318yescomplemented
511#88136C2318yescomplemented
512#88135C2318yescomplemented
513#88135C2318yescomplemented
514#88135C2318yescomplemented
515#88135C2318yescomplemented
516#88135C2318yescomplemented
517#88135C2318yescomplemented
518#88135C2318yescomplemented
519#88135C2318yescomplemented
520C22⋊C4×D13C2318yescomplemented
521C22⋊C4×D13C2318yescomplemented
522C22⋊C4×D13C2318yescomplemented
523C22⋊C4×D13C2318yescomplemented
524#88133C2318yescomplemented
525#88133C2318yescomplemented
526#88133C2318yescomplemented
527#88133C2318yescomplemented
528#88133C2318yescomplemented
529#88133C2318yescomplemented
530#88132C2318yescomplemented
531#88132C2318yescomplemented
532#88132C2318yescomplemented
533#88132C2318yescomplemented
534#88131C2318yescomplemented
535#88131C2318yescomplemented
536#88131C2318yescomplemented
537#88131C2318yescomplemented
538C2×#3513—131nomaximal, Sylow
539C24×C13—24no—
540C24×C13—24no—
541C24×C13—24no—
542C24×C13—42no—
543C24×C13—42no—
544C24×C13—42no—
545C24×C13C2411yescharacteristic
546C24×C13C2411yescharacteristic
547C24×C13C2411yescharacteristic
548C24×C13C2414yes—
549C24×C13C2411yescharacteristic
550C24×C13C2411yescharacteristic
551C24×C13C2414yes—
552C23×D13—24no—
553C23×D13—24no—
554C23×D13—24no—
555C23×D13—42no—
556C23×D13—42no—
557C23×D13—42no—
558C23×D13C2411yescharacteristic
559C23×D13C2411yescharacteristic
560C23×D13C2411yescharacteristic
561C23×D13C2414yes—
562C23×D13C2411yescharacteristic
563C23×D13C2414yes—
564C2×D4×C13—24no—
565C2×D4×C13—24no—
566C2×D4×C13—42no—
567C2×D4×C13—42no—
568C2×D4×C13—416no—
569C2×D4×C13C2414yes—
570C2×D4×C13C2414yes—
571C2×D4×C13C2414yes—
572C2×D4×C13C2414yes—
573C22×C4×C13—24no—
574C22×C4×C13—24no—
575C22×C4×C13—24no—
576C22×C4×C13—42no—
577C22×C4×C13—42no—
578C22×C4×C13—42no—
579C22×C4×C13—42no—
580C22×C4×C13—416no—
581C22×C4×C13—42no—
582C22×C4×C13—42no—
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×C13C2414yes—
592C22×C4×C13C2411yescharacteristic
593C22×C4×C13C2411yescharacteristic
594C22×C4×C13C2414yes—
595C22×C4×C13C2414yes—
596C22×C4×C13C2414yes—
597C22×C4×C13C2414yes—
598C22×C4×C13C2414yes—
599C22×C4×C13C2414yes—
600C22×C4×C13C2414yes—
601C22×C4×C13C2414yes—
602C2×C22⋊D13—24no—
603C2×C22⋊D13—24no—
604C2×C22⋊D13—24no—
605C2×C22⋊D13—24no—
606C2×C22⋊D13—24no—
607C2×C22⋊D13—24no—
608C2×C22⋊D13—24no—
609C2×C22⋊D13—232no—
610C2×C22⋊D13—232no—
611C2×C22⋊D13—24no—
612C2×C22⋊D13—24no—
613C2×C22⋊D13—42no—
614C2×C22⋊D13—42no—
615C2×C22⋊D13—42no—
616C2×C22⋊D13—42no—
617C2×C22⋊D13—42no—
618C2×C22⋊D13—42no—
619C2×C22⋊D13#4118yescomplemented
620C2×C22⋊D13C2414yes—
621C2×C22⋊D13C2414yes—
622C2×C22⋊D13C2414yes—
623C2×C22⋊D13C2414yes—
624C2×C22⋊D13C2414yes—
625C2×C22⋊D13C2414yes—
626C2×C22⋊D13C2414yes—
627C2×C22⋊D13C2414yes—
628C2×C22⋊D13C2414yes—
629C2×C22⋊D13C2414yes—
630C2×C22⋊D13C2414yes—
631C2×C22⋊D13C2414yes—
632C2×C22⋊D13C2414yes—
633C2×C22⋊D13C2414yes—
634C2×C22⋊D13C2414yes—
635C2×C22⋊D13C2414yes—
636C22×Dic13—24no—
637C22×Dic13—24no—
638C22×Dic13—24no—
639C22×Dic13—42no—
640C22×Dic13—42no—
641C22×Dic13—42no—
642C22×Dic13C2414yes—
643C22×Dic13C2414yes—
644C22×Dic13C2414yes—
645C22×Dic13C2411yescharacteristic
646C22×Dic13C2411yescharacteristic
647C22×Dic13C2411yescharacteristic
648C22×Dic13C2411yescharacteristic
649C22×Dic13C2411yescharacteristic
650C22×Dic13C2411yescharacteristic
651C22×Dic13C2411yescharacteristic
652C22×Dic13C2411yescharacteristic
653C22×Dic13C2411yescharacteristic
654C22×Dic13C2411yescharacteristic
655C22×Dic13C2411yescharacteristic
656C22×Dic13C2414yes—
657C22×Dic13C2414yes—
658C22×Dic13C2414yes—
659C22×Dic13C2411yescharacteristic
660#6129—416no—
661D4×D13—416no—
662#6127—232no—
663#6127—416no—
664C2×D52—24no—
665C2×D52—42no—
666C2×D52—42no—
667C2×D52—42no—
668C2×D52C2414yes—
669C2×D52C2414yes—
670C2×D52C2414yes—
671C2×D52C2414yes—
672C2×C4×D13—24no—
673C2×C4×D13—24no—
674C2×C4×D13—42no—
675C2×C4×D13—42no—
676C2×C4×D13—42no—
677C2×C4×D13—42no—
678C2×C4×D13—416no—
679C2×C4×D13—42no—
680C2×C4×D13—42no—
681C2×C4×D13—42no—
682C2×C4×D13—42no—
683C2×C4×D13—42no—
684C2×C4×D13—42no—
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×C4×D13C2414yes—
697C2×Dic26—24no—
698C2×Dic26—42no—
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×C22⋊C4C2414yes—
714C13×C22⋊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—
725C22⋊Dic13C2414yes—
726C22⋊Dic13C2414yes—
727C22⋊Dic13C2414yes—
728C22⋊Dic13C2414yes—
729C22⋊Dic13C2414yes—
730C22⋊Dic13C2414yes—
731C22⋊Dic13C2414yes—
732C22⋊Dic13C2414yes—
733C22⋊Dic13C2414yes—
734C22⋊Dic13C2414yes—
735C22⋊Dic13C2414yes—
736C22⋊Dic13C2414yes—
737C22⋊Dic13C2414yes—
738C22⋊Dic13C2414yes—
739C22⋊Dic13C2414yes—
740C22⋊Dic13C2414yes—
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—
761C4⋊Dic13C2414yes—
762C4⋊Dic13C2414yes—
763C4⋊Dic13C2414yes—
764C4⋊Dic13C2414yes—
765C4⋊Dic13C2414yes—
766C4⋊Dic13C2414yes—
767C4⋊Dic13C2414yes—
768C4⋊Dic13C2414yes—
769#6101C2414yes—
770#6101C2414yes—
771#6101C2414yes—
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—
789C4×Dic13C2414yes—
790C4×Dic13C2414yes—
791C4×Dic13C2414yes—
792C4×Dic13C2414yes—
793C4×Dic13C2414yes—
794C4×Dic13C2414yes—
795C4×Dic13C2414yes—
796C4×Dic13C2414yes—
797C4×Dic13C2414yes—
798C4×Dic13C2414yes—
799C4×Dic13C2414yes—
800C4×Dic13C2414yes—
801#3513—1332no—
802C2×#559—131no—
803C2×#554—131no—
804C2×#553—131no—
805C2×#553—131no—
806C2×#553—131no—
807C2×#552—131no—
808C2×#551—131no—
809C2×#551—131no—
810C2×#551—131no—
811C2×#551—131no—
812C2×#547—131no—
813C2×#546—131no—
814C2×#546—131no—
815C2×#546—131no—
816C2×#546—131no—
817C2×D42—131no—
818C2×#542—131no—
819C2×#540—131no—
820C2×#539—131no—
821C2×#539—131no—
822C2×#538—131no—
823C2×#538—131no—
824C2×#529—131no—
825C2×#529—131no—
826C2×#525—131no—
827C2×#525—131no—
828C22×#123—131no—
829C22×#123D1311yescharacteristic, complemented
830C2×#520—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—28no—
839C23×C13—22no—
840C23×C13—22no—
841C23×C13—22no—
842C23×C13—22no—
843C23×C13—28no—
844C23×C13—22no—
845C23×C13—22no—
846C23×C13—22no—
847C23×C13—22no—
848C23×C13—28no—
849C23×C13—44no—
850C23×C13—44no—
851C23×C13—44no—
852C23×C13—416no—
853C23×C13—88no—
854C23×C13C2×#4114yes—
855C23×C13H(5,𝔽2)14yes—
856C23×C13C2512yes—
857C23×C13C2512yes—
858C23×C13C2512yes—
859C23×C13C2512yes—
860C23×C13C2512yes—
861C23×C13C2511yescharacteristic
862C22×D13—22no—
863C22×D13—22no—
864C22×D13—22no—
865C22×D13—22no—
866C22×D13—22no—
867C22×D13—22no—
868C22×D13—22no—
869C22×D13—28no—
870C22×D13—22no—
871C22×D13—22no—
872C22×D13—22no—
873C22×D13—22no—
874C22×D13—28no—
875C22×D13—28no—
876C22×D13—44no—
877C22×D13—44no—
878C22×D13—44no—
879C22×D13—416no—
880C22×D13—88no—
881C22×D13C2×#4114yes—
882C22×D13C2512yes—
883C22×D13C2512yes—
884C22×D13C2512yes—
885C22×D13C2512yes—
886D4×C13—28no—
887D4×C13—28no—
888D4×C13—44no—
889D4×C13—44no—
890C2×C4×C13—22no—
891C2×C4×C13—22no—
892C2×C4×C13—28no—
893C2×C4×C13—22no—
894C2×C4×C13—22no—
895C2×C4×C13—28no—
896C2×C4×C13—22no—
897C2×C4×C13—22no—
898C2×C4×C13—22no—
899C2×C4×C13—22no—
900C2×C4×C13—28no—
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—
919C22⋊D13—28no—
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—
932C22⋊D13—44no—
933C22⋊D13—44no—
934C22⋊D13C2×#41116yescomplemented
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—22no—
944C2×Dic13—22no—
945C2×Dic13—22no—
946C2×Dic13—22no—
947C2×Dic13—28no—
948C2×Dic13—28no—
949C2×Dic13—44no—
950C2×Dic13—44no—
951C2×Dic13—44no—
952C2×Dic13C2×#4114yes—
953C2×Dic13C2512yes—
954C2×Dic13C2512yes—
955C2×Dic13C2512yes—
956C2×Dic13C2512yes—
957C2×Dic13C2512yes—
958C2×Dic13C2512yes—
959C2×Dic13C2512yes—
960C2×Dic13C2512yes—
961C2×Dic13C2512yes—
962C2×Dic13C2512yes—
963C2×Dic13C2512yes—
964C2×Dic13C2512yes—
965D52—28no—
966D52—44no—
967D52—44no—
968D52—44no—
969C4×D13—28no—
970C4×D13—28no—
971C4×D13—44no—
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—44no—
983Dic26—44no—
984Dic26—44no—
985C22×#41—131no—
986C22×#41—131no—
987C22×#41—131no—
988C23×D4—131no—
989C23×D4—131no—
990C23×D4—131no—
991C23×D4C2×D1311yescharacteristic
992C24×C4—131no—
993C24×C4C2×D1311yescharacteristic, complemented
994#559—1316no—
995#554—1316no—
996#553—1316no—
997#553—1316no—
998#553—1316no—
999#552—1316no—
1000#551—1316no—
1001#551—1316no—
1002#551—1316no—
1003#551—1316no—
1004#547—1316no—
1005#546—1316no—
1006#546—1316no—
1007#546—1316no—
1008#546—1316no—
1009D42—1316no—
1010#542—1316no—
1011#540—1316no—
1012#539—1316no—
1013#539—1316no—
1014#538—1316no—
1015#538—1316no—
1016C2×C4⋊Q8—131no—
1017C2×#127—131no—
1018#529—1316no—
1019#529—1316no—
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×#126—131no—
1029C2×#126—131no—
1030C2×#125—131no—
1031C2×#125—131no—
1032C2×#125—131no—
1033C2×#125—131no—
1034C2×#125—131no—
1035C2×#124—131no—
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—1316no—
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×#123—131no—
1063C2×#123C2×D1311yescharacteristic
1064C2×#123C2×D1311yescharacteristic
1065C2×#123C2×D1311yescharacteristic, complemented
1066C2×#123C2×D1311yescharacteristic, complemented
1067C2×#123C2×D1311yescharacteristic, complemented
1068C2×#123C2×D1311yescharacteristic, complemented
1069C2×#123C2×D1311yescharacteristic, complemented
1070C2×#123C2×D1311yescharacteristic, complemented
1071C2×#123C2×D13116yescomplemented
1072C2×C22⋊Q8—131no—
1073C2×C22⋊Q8—131no—
1074C2×C22⋊Q8—131no—
1075C2×C22⋊Q8—131no—
1076C2×C22⋊Q8—131no—
1077C2×C22⋊Q8—131no—
1078C2×C22⋊Q8—131no—
1079C2×C22⋊Q8—131no—
1080C2×C22⋊Q8—131no—
1081C2×C22⋊Q8—131no—
1082C2×C22⋊Q8—131no—
1083C2×C22⋊Q8—131no—
1084C2×C22⋊Q8—131no—
1085C2×#121—131no—
1086C2×#121—131no—
1087C2×#121—131no—
1088C2×#121—131no—
1089C2×#121—131no—
1090C2×#121—131no—
1091C2×#121—131no—
1092C2×#121—131no—
1093C2×#121—131no—
1094C2×#121—131no—
1095C2×#121—131no—
1096C2×#121—131no—
1097C2×#121—131no—
1098C2×#121—131no—
1099C2×#121—131no—
1100C2×#121—131no—
1101C2×#121—131no—
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#520—1316no—
1111#518—1316no—
1112C2×C4×Q8—131no—
1113C2×C4×Q8—131no—
1114C2×C4×Q8—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—131no—
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—1316no—
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×D4—131no—
1142C2×C4×D4—131no—
1143C2×C4×D4—131no—
1144C2×C4×D4—131no—
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—
1154C22×C4⋊C4—131no—
1155C22×C4⋊C4—131no—
1156C22×C4⋊C4—131no—
1157C22×C4⋊C4—131no—
1158C22×C4⋊C4C2×D1311yescharacteristic, complemented
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⋊C4C2×D1311yescharacteristic, complemented
1168C22×C22⋊C4C2×D1311yescharacteristic, complemented
1169C22×C22⋊C4C2×D1311yescharacteristic, complemented
1170C22×C42—131no—
1171C22×C13—22no—
1172C22×C13—22no—
1173C22×C13—22no—
1174C22×C13—22no—
1175C22×C13—28no—
1176C22×C13—28no—
1177C22×C13—22no—
1178C22×C13—22no—
1179C22×C13—22no—
1180C22×C13—22no—
1181C22×C13—22no—
1182C22×C13—22no—
1183C22×C13—22no—
1184C22×C13—22no—
1185C22×C13—22no—
1186C22×C13—416no—
1187C22×C13—44no—
1188C22×C13—44no—
1189C22×C13—44no—
1190C22×C13—88no—
1191C22×C13C22×#4114yes—
1192C22×C13C22×#4112yes—
1193C22×C13C2×H(5,𝔽2)14yes—
1194C22×C13C2×H(5,𝔽2)12yes—
1195C22×C13#58512yes—
1196C22×C13C2611yescharacteristic
1197C2×D13—22no—
1198C2×D13—22no—
1199C2×D13—28no—
1200C2×D13—22no—
1201C2×D13—22no—
1202C2×D13—22no—
1203C2×D13—22no—
1204C2×D13—22no—
1205C2×D13—22no—
1206C2×D13—22no—
1207C2×D13—22no—
1208C2×D13—22no—
1209C2×D13—416no—
1210C2×D13—44no—
1211C2×D13—44no—
1212C2×D13—44no—
1213C2×D13—88no—
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—
1225Dic13—22no—
1226Dic13—22no—
1227Dic13—22no—
1228Dic13—22no—
1229Dic13—22no—
1230Dic13—22no—
1231Dic13—22no—
1232Dic13—22no—
1233Dic13—22no—
1234Dic13—22no—
1235Dic13—22no—
1236Dic13C22×#4114yes—
1237C25—131no—
1238C25—131no—
1239C25C22×D1311yescharacteristic
1240C25C22×D1311yescharacteristic
1241C2×#41—138no—
1242C2×#41—138no—
1243C2×#41—138no—
1244C2×#41—268no—
1245C2×#41—524no—
1246C2×#41—524no—
1247C22×Q8—131no—
1248C22×Q8—131no—
1249C22×Q8—131no—
1250C22×Q8—131no—
1251C22×D4—44no—
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—138no—
1261C22×D4—131no—
1262C22×D4—131no—
1263C22×D4—138no—
1264C22×D4—131no—
1265C22×D4—131no—
1266C22×D4—131no—
1267C22×D4—131no—
1268C22×D4—131no—
1269C22×D4—131no—
1270C22×D4—138no—
1271C22×D4—131no—
1272C22×D4—131no—
1273C22×D4—131no—
1274C22×D4—131no—
1275C22×D4—268no—
1276C22×D4—268no—
1277C22×D4—524no—
1278C22×D4C22×D1311yescharacteristic
1279C22×D4C22×D1311yescharacteristic
1280C22×D4C22×D1311yescharacteristic
1281C22×D4C22×D1311yescharacteristic
1282C22×D4C22×D1318yes—
1283C23×C4—44no—
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—138no—
1303C23×C4—524no—
1304C23×C4C22×D1311yescharacteristic
1305C23×C4C22×D1311yescharacteristic
1306C23×C4C22×D1311yescharacteristic
1307C23×C4C22×D1311yescharacteristic
1308C23×C4C22×D1311yescharacteristic
1309C23×C4C22×D1311yescharacteristic
1310C23×C4C22×D1311yescharacteristic
1311C23×C4C22×D1311yescharacteristic
1312C23×C4C22×D1311yescharacteristic
1313C23×C4C22×D1318yescomplemented
1314C4⋊Q8—138no—
1315#127—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#126—138no—
1325#126—138no—
1326#125—138no—
1327#125—138no—
1328#125—138no—
1329#125—138no—
1330#125—138no—
1331#124—138no—
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×D1318yes—
1357#123C22×D1318yes—
1358#123C22×D1318yescomplemented
1359#123C22×D1318yescomplemented
1360#123C22×D1318yescomplemented
1361#123C22×D1318yescomplemented
1362#123C22×D1318yescomplemented
1363#123C22×D1318yescomplemented
1364C22⋊Q8—138no—
1365C22⋊Q8—138no—
1366C22⋊Q8—138no—
1367C22⋊Q8—138no—
1368C22⋊Q8—138no—
1369C22⋊Q8—138no—
1370C22⋊Q8—138no—
1371C22⋊Q8—138no—
1372C22⋊Q8—138no—
1373C22⋊Q8—138no—
1374C22⋊Q8—138no—
1375C22⋊Q8—138no—
1376C22⋊Q8—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#121—138no—
1391#121—138no—
1392#121—138no—
1393#121—138no—
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×Q8—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×D4—138no—
1431C4×D4—138no—
1432C4×D4—138no—
1433C4×D4—138no—
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—
1443C2×C4⋊C4—131no—
1444C2×C4⋊C4—131no—
1445C2×C4⋊C4—131no—
1446C2×C4⋊C4—131no—
1447C2×C4⋊C4—131no—
1448C2×C4⋊C4—131no—
1449C2×C4⋊C4—138no—
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—131no—
1459C2×C4⋊C4—131no—
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⋊C4—138no—
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×D1318yescomplemented
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—138no—
1494C2×C22⋊C4—138no—
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—138no—
1512C2×C22⋊C4—131no—
1513C2×C22⋊C4—131no—
1514C2×C22⋊C4—131no—
1515C2×C22⋊C4—131no—
1516C2×C22⋊C4—131no—
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—138no—
1525C2×C22⋊C4—138no—
1526C2×C22⋊C4—138no—
1527C2×C22⋊C4—138no—
1528C2×C22⋊C4C22×D1311yescharacteristic
1529C2×C22⋊C4C22×D1311yescharacteristic
1530C2×C22⋊C4C22×D1311yescharacteristic
1531C2×C22⋊C4C22×D1311yescharacteristic
1532C2×C22⋊C4C22×D1311yescharacteristic
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×D1318yescomplemented
1541C2×C22⋊C4C22×D1318yescomplemented
1542C2×C22⋊C4C22×D1318yescomplemented
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—131no—
1553C2×C42—131no—
1554C2×C42—131no—
1555C2×C42—138no—
1556C2×C13—24no—
1557C2×C13—24no—
1558C2×C13—42no—
1559C2×C13—42no—
1560C2×C13—42no—
1561C2×C13#351314yescomplemented
1562C2×C13C23×#4111yescharacteristic
1563C2×C13C22×H(5,𝔽2)11yescharacteristic
1564C2×C13C2×#58511yescharacteristic
1565D13—24no—
1566D13—42no—
1567D13—42no—
1568D13—42no—
1569C24—24no—
1570C24—24no—
1571C24—24no—
1572C24—42no—
1573C24—42no—
1574C24—42no—
1575C24—131no—
1576C24—131no—
1577C24—131no—
1578C24—131no—
1579C24—134no—
1580C24—134no—
1581C24—264no—
1582C24—264no—
1583C24—264no—
1584C24—522no—
1585C24—522no—
1586C24—522no—
1587C24C23×D1311yescharacteristic
1588C24C23×D1311yescharacteristic
1589C24C23×D1311yescharacteristic
1590C24C23×D1314yes—
1591C24C23×D1311yescharacteristic
1592C24C23×D1311yescharacteristic
1593C24C23×D1314yes—
1594#41—2632no—
1595#41—5216no—
1596#41—5216no—
1597C2×Q8—134no—
1598C2×Q8—134no—
1599C2×Q8—134no—
1600C2×Q8—134no—
1601C2×Q8—264no—
1602C2×Q8—522no—
1603C2×Q8—522no—
1604C2×Q8—522no—
1605C2×D4—24no—
1606C2×D4—24no—
1607C2×D4—42no—
1608C2×D4—42no—
1609C2×D4—416no—
1610C2×D4—138no—
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—134no—
1630C2×D4—134no—
1631C2×D4—264no—
1632C2×D4—264no—
1633C2×D4—264no—
1634C2×D4—2632no—
1635C2×D4—2632no—
1636C2×D4—264no—
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—522no—
1647C2×D4—522no—
1648C2×D4—522no—
1649C2×D4—522no—
1650C2×D4—522no—
1651C2×D4—522no—
1652C2×D4—5216no—
1653C2×D4C23×D1314yes—
1654C2×D4C23×D1314yes—
1655C2×D4C23×D1314yes—
1656C2×D4C23×D1314yes—
1657C22×C4—24no—
1658C22×C4—24no—
1659C22×C4—24no—
1660C22×C4—42no—
1661C22×C4—42no—
1662C22×C4—42no—
1663C22×C4—42no—
1664C22×C4—416no—
1665C22×C4—42no—
1666C22×C4—42no—
1667C22×C4—131no—
1668C22×C4—134no—
1669C22×C4—134no—
1670C22×C4—134no—
1671C22×C4—131no—
1672C22×C4—131no—
1673C22×C4—131no—
1674C22×C4—131no—
1675C22×C4—131no—
1676C22×C4—131no—
1677C22×C4—131no—
1678C22×C4—131no—
1679C22×C4—131no—
1680C22×C4—131no—
1681C22×C4—131no—
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—134no—
1696C22×C4—134no—
1697C22×C4—264no—
1698C22×C4—264no—
1699C22×C4—264no—
1700C22×C4—264no—
1701C22×C4—264no—
1702C22×C4—522no—
1703C22×C4—522no—
1704C22×C4—522no—
1705C22×C4—522no—
1706C22×C4—5216no—
1707C22×C4—522no—
1708C22×C4—522no—
1709C22×C4—522no—
1710C22×C4—522no—
1711C22×C4—522no—
1712C22×C4—522no—
1713C22×C4—522no—
1714C22×C4—522no—
1715C22×C4—522no—
1716C22×C4C23×D1314yes—
1717C22×C4C23×D1314yes—
1718C22×C4C23×D1314yes—
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⋊C4—134no—
1762C4⋊C4—134no—
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⋊C4C23×D1314yes—
1808C22⋊C4C23×D1314yes—
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—
1828C42—134no—
1829C42—134no—
1830C42—134no—
1831C13C2×#351311yescharacteristic, complemented, Sylow
1832C23—22no—
1833C23—22no—
1834C23—22no—
1835C23—22no—
1836C23—28no—
1837C23—22no—
1838C23—22no—
1839C23—22no—
1840C23—22no—
1841C23—28no—
1842C23—22no—
1843C23—22no—
1844C23—22no—
1845C23—22no—
1846C23—22no—
1847C23—28no—
1848C23—44no—
1849C23—44no—
1850C23—44no—
1851C23—416no—
1852C23—88no—
1853C23—134no—
1854C23—132no—
1855C23—132no—
1856C23—132no—
1857C23—132no—
1858C23—268no—
1859C23—268no—
1860C23—262no—
1861C23—262no—
1862C23—262no—
1863C23—268no—
1864C23—262no—
1865C23—262no—
1866C23—262no—
1867C23—262no—
1868C23—262no—
1869C23—262no—
1870C23—262no—
1871C23—262no—
1872C23—524no—
1873C23—524no—
1874C23—524no—
1875C23—5216no—
1876C23—1048no—
1877C23#8825114yes—
1878C23#41×D1314yes—
1879C23C24×D1312yes—
1880C23C24×D1312yes—
1881C23C24×D1312yes—
1882C23C24×D1312yes—
1883C23C24×D1312yes—
1884C23C24×D1311yescharacteristic
1885Q8—268no—
1886Q8—524no—
1887Q8—524no—
1888Q8—524no—
1889D4—28no—
1890D4—28no—
1891D4—44no—
1892D4—44no—
1893D4—1316no—
1894D4—268no—
1895D4—268no—
1896D4—268no—
1897D4—268no—
1898D4—268no—
1899D4—268no—
1900D4—268no—
1901D4—268no—
1902D4—268no—
1903D4—268no—
1904D4—524no—
1905D4—524no—
1906D4—524no—
1907D4—524no—
1908D4—524no—
1909D4—524no—
1910D4—524no—
1911D4—524no—
1912D4—524no—
1913C2×C4—28no—
1914C2×C4—22no—
1915C2×C4—22no—
1916C2×C4—22no—
1917C2×C4—22no—
1918C2×C4—28no—
1919C2×C4—22no—
1920C2×C4—22no—
1921C2×C4—22no—
1922C2×C4—22no—
1923C2×C4—28no—
1924C2×C4—22no—
1925C2×C4—22no—
1926C2×C4—44no—
1927C2×C4—44no—
1928C2×C4—44no—
1929C2×C4—44no—
1930C2×C4—44no—
1931C2×C4—44no—
1932C2×C4—134no—
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—132no—
1943C2×C4—132no—
1944C2×C4—132no—
1945C2×C4—268no—
1946C2×C4—268no—
1947C2×C4—268no—
1948C2×C4—268no—
1949C2×C4—262no—
1950C2×C4—262no—
1951C2×C4—268no—
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—262no—
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×C4—524no—
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—28no—
1985C22—28no—
1986C22—22no—
1987C22—22no—
1988C22—22no—
1989C22—22no—
1990C22—22no—
1991C22—22no—
1992C22—22no—
1993C22—22no—
1994C22—22no—
1995C22—22no—
1996C22—22no—
1997C22—22no—
1998C22—22no—
1999C22—416no—
2000C22—44no—
2001C22—44no—
2002C22—44no—
2003C22—88no—
2004C22—134no—
2005C22—268no—
2006C22—262no—
2007C22—262no—
2008C22—262no—
2009C22—262no—
2010C22—262no—
2011C22—262no—
2012C22—262no—
2013C22—262no—
2014C22—262no—
2015C22—262no—
2016C22—262no—
2017C22—5216no—
2018C22—524no—
2019C22—524no—
2020C22—524no—
2021C22—1048no—
2022C22C2×#8825114yes—
2023C22C2×#8825112yes—
2024C22C2×#41×D1314yes—
2025C22C2×#41×D1312yes—
2026C22#1171964812yes—
2027C22C25×D1311yescharacteristic
2028C4—22no—
2029C4—22no—
2030C4—22no—
2031C4—22no—
2032C4—22no—
2033C4—22no—
2034C4—22no—
2035C4—22no—
2036C4—22no—
2037C4—22no—
2038C4—134no—
2039C4—262no—
2040C4—262no—
2041C4—262no—
2042C4—262no—
2043C4—262no—
2044C4—262no—
2045C4—262no—
2046C4—262no—
2047C4—262no—
2048C4—262no—
2049C4—262no—
2050C2—24no—
2051C2—24no—
2052C2—42no—
2053C2—42no—
2054C2—42no—
2055C2—264no—
2056C2—522no—
2057C2—522no—
2058C2—522no—
2059C2#1312876814yesdirect product factor
2060C2C22×#41×D1311yescharacteristic
2061C2C22×#8825111yescharacteristic
2062C2C2×#1171964811yescharacteristic
subgroupG/H
centerC23C24×D13
commutator, cosocleC22×C13C26
FrattiniC22C25×D13
FittingC22×C13×#123C2
socleC23×C13C25
hypercenterC22×#123D13
hypocenterC13C2×#3513
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C23 ◁ C22×#123

Complements

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

NH ≅ G/Ntype
1. #13128768C2direct (N × H)
2. C2×#11719369C2semidirect
3. C2×#11719216C2semidirect
4. C2×#11719219C2semidirect
5. C2×#11719366C2semidirect
6. C2×#11719366C2semidirect
7. C2×#11719355C2semidirect
8. C2×#11719364C2semidirect
9. C2×#11719200C2semidirect
10. C2×#11719200C2semidirect
11. C2×#11719363C2semidirect
12. C2×#11719360C2semidirect
13. C2×#11719511C2semidirect
14. C2×#11719359C2semidirect
15. C2×#11719195C2semidirect
16. C2×#11719195C2semidirect
17. C2×D4×C22⋊D13C2semidirect
18. C2×#11719367C2semidirect
19. C2×#11719368C2semidirect
20. C2×#11719220C2semidirect
21. C2×#11719365C2semidirect
22. C2×#11719199C2semidirect
23. C2×#11719362C2semidirect
24. C2×#11719354C2semidirect
25. C2×#11719354C2semidirect
26. C2×#11719496C2semidirect
27. C2×#11719361C2semidirect
28. C2×D13×#123C2semidirect
29. C2×#11719209C2semidirect
30. C2×#11719191C2semidirect
31. C22×C4×C22⋊D13C2semidirect
32. C22×C13×#123C2semidirect
34. C24×C4×C13C22semidirect
37. C22×#6129C22semidirect
40. C22×#6127C22semidirect
41. C23×C4×D13C22semidirect
44. C2×C13×#123C22semidirect
45. C2×C13×#123C22semidirect
46. C2×C13×#123C22semidirect
47. C2×C13×#123C22semidirect
48. C2×C13×#123C22semidirect
49. C2×C13×#123C22semidirect
50. C2×C13×#123C22semidirect
51. C22×C13×C4⋊C4C22semidirect
52. C22×C13×C4⋊C4C22semidirect
53. C22×C13×C22⋊C4C22semidirect
54. C22×C13×C22⋊C4C22semidirect
55. C22×C13×C22⋊C4C22semidirect
58. C2×#88207C22semidirect
59. C2×#88207C22semidirect
60. C22×C22⋊Dic13C22semidirect
61. C22×C22⋊Dic13C22semidirect
62. #11719511C22semidirect
67. C2×#88193C22semidirect
68. D4×C22⋊D13C22semidirect
70. C2×#88192C22semidirect
73. C2×#88190C22semidirect
75. C2×#88189C22semidirect
77. C2×D4×Dic13C22semidirect
78. #11719496C22semidirect
80. C2×#88184C22semidirect
81. C2×#88184C22semidirect
82. C2×#88184C22semidirect
83. C2×#88183C22semidirect
84. C2×#88183C22semidirect
85. C2×#88183C22semidirect
86. C2×#88183C22semidirect
91. C2×C4×C22⋊D13C22semidirect
92. C2×C4×C22⋊D13C22semidirect
93. C2×C4×C22⋊D13C22semidirect
94. C2×C4×C22⋊D13C22semidirect
95. C2×C4×C22⋊D13C22semidirect
96. C2×C4×C22⋊D13C22semidirect
97. C2×C4×C22⋊D13C22semidirect
98. C2×C4×C22⋊D13C22semidirect
99. C2×C4×C22⋊D13C22semidirect
100. C2×C4×C22⋊D13C22semidirect
101. C2×C4×C22⋊D13C22semidirect
102. C2×C4×C22⋊D13C22semidirect
103. C2×C4×C22⋊D13C22semidirect
104. C22×#6103C22semidirect
105. C2×#88180C22semidirect
106. C2×#88180C22semidirect
107. C2×#88178C22semidirect
108. C2×#88178C22semidirect
109. C2×#88178C22semidirect
110. C2×#88178C22semidirect
111. C22×#6101C22semidirect
112. C22×C4×Dic13C22semidirect
113. #11719369C22semidirect
114. #11719368C22semidirect
115. #11719367C22semidirect
116. #11719366C22semidirect
117. #11719366C22semidirect
118. #11719365C22semidirect
119. #11719364C22semidirect
120. #11719363C22semidirect
121. #11719362C22semidirect
122. #11719361C22semidirect
123. #11719360C22semidirect
124. #11719359C22semidirect
125. D13×#123C22semidirect
126. #11719355C22semidirect
127. #11719354C22semidirect
128. #11719354C22semidirect
129. #11719220C22semidirect
130. #11719219C22semidirect
131. C2×#88152C22semidirect
132. C2×#88152C22semidirect
133. C2×#88152C22semidirect
134. C2×#88152C22semidirect
135. #11719216C22semidirect
136. C2×#88151C22semidirect
137. C2×#88150C22semidirect
138. C2×#88150C22semidirect
139. C2×#88150C22semidirect
140. C2×#88150C22semidirect
141. C2×#88149C22semidirect
142. C2×#88148C22semidirect
143. C2×#88148C22semidirect
144. C2×#88148C22semidirect
145. C2×#88148C22semidirect
146. #11719209C22semidirect
147. C2×#88147C22semidirect
148. C2×#88147C22semidirect
149. C2×#88147C22semidirect
150. C2×#88146C22semidirect
151. C2×#88146C22semidirect
152. C2×#88146C22semidirect
153. C2×C4⋊C4×D13C22semidirect
154. C2×C4⋊C4×D13C22semidirect
155. C2×C4⋊C4×D13C22semidirect
156. C2×#88144C22semidirect
157. C2×#88143C22semidirect
158. C2×#88143C22semidirect
159. C2×#88143C22semidirect
160. C2×#88143C22semidirect
161. C2×#88142C22semidirect
162. C2×#88141C22semidirect
163. C2×#88141C22semidirect
164. C2×#88141C22semidirect
165. #11719200C22semidirect
166. #11719200C22semidirect
167. #11719199C22semidirect
168. C2×#88140C22semidirect
169. C2×#88140C22semidirect
170. C2×#88139C22semidirect
171. C2×#88139C22semidirect
172. C2×#88139C22semidirect
173. C2×#88139C22semidirect
174. C2×#88139C22semidirect
175. C2×#88139C22semidirect
176. #11719195C22semidirect
177. #11719195C22semidirect
178. C2×#88138C22semidirect
179. C2×#88138C22semidirect
180. C2×#88138C22semidirect
181. C2×#88138C22semidirect
182. C2×#88138C22semidirect
183. C2×#88138C22semidirect
184. C2×#88137C22semidirect
185. C2×#88137C22semidirect
186. C2×#88137C22semidirect
187. C2×#88137C22semidirect
188. C2×#88137C22semidirect
189. C2×#88137C22semidirect
190. C2×#88136C22semidirect
191. C2×#88136C22semidirect
192. #11719191C22semidirect
193. C2×#88135C22semidirect
194. C2×#88135C22semidirect
195. C2×#88135C22semidirect
196. C2×#88135C22semidirect
197. C2×#88135C22semidirect
198. C2×#88135C22semidirect
199. C2×#88135C22semidirect
200. C2×#88135C22semidirect
201. C2×C22⋊C4×D13C22semidirect
202. C2×C22⋊C4×D13C22semidirect
203. C2×C22⋊C4×D13C22semidirect
204. C2×C22⋊C4×D13C22semidirect
205. C2×#88133C22semidirect
206. C2×#88133C22semidirect
207. C2×#88133C22semidirect
208. C2×#88133C22semidirect
209. C2×#88133C22semidirect
210. C2×#88133C22semidirect
211. C2×#88132C22semidirect
212. C2×#88132C22semidirect
213. C2×#88132C22semidirect
214. C2×#88132C22semidirect
215. C2×#88131C22semidirect
216. C2×#88131C22semidirect
217. C2×#88131C22semidirect
218. C2×#88131C22semidirect
239. C23×C4×C13C23semidirect
267. C2×#6129C23semidirect
273. C2×#6127C23semidirect
291. C22×C4×D13C23semidirect
298. C13×#123C23semidirect
299. C13×#123C23semidirect
300. C13×#123C23semidirect
301. C13×#123C23semidirect
302. C13×#123C23semidirect
303. C13×#123C23semidirect
312. C2×C13×C4⋊C4C23semidirect
313. C2×C13×C4⋊C4C23semidirect
326. C2×C13×C22⋊C4C23semidirect
327. C2×C13×C22⋊C4C23semidirect
328. C2×C13×C22⋊C4C23semidirect
331. #88207C23semidirect
332. #88207C23semidirect
349. C2×C22⋊Dic13C23semidirect
350. C2×C22⋊Dic13C23semidirect
355. #88193C23semidirect
357. #88192C23semidirect
360. #88190C23semidirect
362. #88189C23semidirect
364. D4×Dic13C23semidirect
366. #88184C23semidirect
367. #88184C23semidirect
368. #88184C23semidirect
369. #88183C23semidirect
370. #88183C23semidirect
371. #88183C23semidirect
372. #88183C23semidirect
377. C4×C22⋊D13C23semidirect
378. C4×C22⋊D13C23semidirect
379. C4×C22⋊D13C23semidirect
380. C4×C22⋊D13C23semidirect
381. C4×C22⋊D13C23semidirect
382. C4×C22⋊D13C23semidirect
383. C4×C22⋊D13C23semidirect
384. C4×C22⋊D13C23semidirect
385. C4×C22⋊D13C23semidirect
386. C4×C22⋊D13C23semidirect
387. C4×C22⋊D13C23semidirect
388. C4×C22⋊D13C23semidirect
409. C2×#6103C23semidirect
410. #88180C23semidirect
411. #88180C23semidirect
420. #88178C23semidirect
421. #88178C23semidirect
422. #88178C23semidirect
423. #88178C23semidirect
444. C2×#6101C23semidirect
457. C2×C4×Dic13C23semidirect
458. #88152C23semidirect
459. #88152C23semidirect
460. #88152C23semidirect
461. #88152C23semidirect
462. #88151C23semidirect
463. #88150C23semidirect
464. #88150C23semidirect
465. #88150C23semidirect
466. #88150C23semidirect
467. #88149C23semidirect
468. #88148C23semidirect
469. #88148C23semidirect
470. #88148C23semidirect
471. #88148C23semidirect
472. #88147C23semidirect
473. #88147C23semidirect
474. #88147C23semidirect
475. #88146C23semidirect
476. #88146C23semidirect
477. #88146C23semidirect
478. C4⋊C4×D13C23semidirect
479. C4⋊C4×D13C23semidirect
480. C4⋊C4×D13C23semidirect
481. #88144C23semidirect
482. #88143C23semidirect
483. #88143C23semidirect
484. #88143C23semidirect
485. #88143C23semidirect
486. #88142C23semidirect
487. #88141C23semidirect
488. #88141C23semidirect
489. #88141C23semidirect
490. #88140C23semidirect
491. #88140C23semidirect
492. #88139C23semidirect
493. #88139C23semidirect
494. #88139C23semidirect
495. #88139C23semidirect
496. #88139C23semidirect
497. #88139C23semidirect
498. #88138C23semidirect
499. #88138C23semidirect
500. #88138C23semidirect
501. #88138C23semidirect
502. #88138C23semidirect
503. #88138C23semidirect
504. #88137C23semidirect
505. #88137C23semidirect
506. #88137C23semidirect
507. #88137C23semidirect
508. #88137C23semidirect
509. #88137C23semidirect
510. #88136C23semidirect
511. #88136C23semidirect
512. #88135C23semidirect
513. #88135C23semidirect
514. #88135C23semidirect
515. #88135C23semidirect
516. #88135C23semidirect
517. #88135C23semidirect
518. #88135C23semidirect
519. #88135C23semidirect
520. C22⋊C4×D13C23semidirect
521. C22⋊C4×D13C23semidirect
522. C22⋊C4×D13C23semidirect
523. C22⋊C4×D13C23semidirect
524. #88133C23semidirect
525. #88133C23semidirect
526. #88133C23semidirect
527. #88133C23semidirect
528. #88133C23semidirect
529. #88133C23semidirect
530. #88132C23semidirect
531. #88132C23semidirect
532. #88132C23semidirect
533. #88132C23semidirect
534. #88131C23semidirect
535. #88131C23semidirect
536. #88131C23semidirect
537. #88131C23semidirect
619. C2×C22⋊D13#41semidirect
829. C22×#123D13semidirect
934. C22⋊D13C2×#41semidirect
993. C24×C4C2×D13semidirect
1065. C2×#123C2×D13semidirect
1066. C2×#123C2×D13semidirect
1067. C2×#123C2×D13semidirect
1068. C2×#123C2×D13semidirect
1069. C2×#123C2×D13semidirect
1070. C2×#123C2×D13semidirect
1071. C2×#123C2×D13semidirect
1158. C22×C4⋊C4C2×D13semidirect
1159. C22×C4⋊C4C2×D13semidirect
1167. C22×C22⋊C4C2×D13semidirect
1168. C22×C22⋊C4C2×D13semidirect
1169. C22×C22⋊C4C2×D13semidirect
1313. C23×C4C22×D13semidirect
1358. #123C22×D13semidirect
1359. #123C22×D13semidirect
1360. #123C22×D13semidirect
1361. #123C22×D13semidirect
1362. #123C22×D13semidirect
1363. #123C22×D13semidirect
1483. C2×C4⋊C4C22×D13semidirect
1484. C2×C4⋊C4C22×D13semidirect
1540. C2×C22⋊C4C22×D13semidirect
1541. C2×C22⋊C4C22×D13semidirect
1542. C2×C22⋊C4C22×D13semidirect
1561. C2×C13#3513semidirect
1831. C13C2×#3513semidirect
2059. C2#13128768direct (N × H)

Maximal subgroups

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

subgroupindex
#131287682
C2×#117193692
C2×#117192162
C2×#117192192
C2×#117193662
C2×#117193552
C2×#117193642
C2×#117192002
C2×#117193632
C2×#117193602
C2×#117195112
C2×#117193592
C2×#117191952
C2×D4×C22⋊D132
C2×#117193672
C2×#117193682
C2×#117192202
C2×#117193652
C2×#117191992
C2×#117193622
C2×#117193542
C2×#117194962
C2×#117193612
C2×D13×#1232
C2×#117192092
C2×#117191912
C22×C4×C22⋊D132
C22×C13×#1232
C2×#351313