Finite Group Databasebeta

← C2×#13128762 #16770878

Subgroups — C2×#13128762 #16770878

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#13128762C2132yesmaximal, direct product factor
2C2×#11719264C211yesmaximal, characteristic, complemented
3C2×#11719341C211yesmaximal, characteristic, complemented
4C2×#11719263C211yesmaximal, characteristic, complemented
5C2×#11719245C211yesmaximal, characteristic, complemented
6C2×#11719306C211yesmaximal, characteristic, complemented
7C2×#11719236C211yesmaximal, characteristic, complemented
8C2×#11719292C211yesmaximal, characteristic, complemented
9C2×#11719261C211yesmaximal, characteristic, complemented
10C2×#11719342C211yesmaximal, characteristic, complemented
11C2×#11719232C211yesmaximal, characteristic, complemented
12C2×#11719529C211yesmaximal, characteristic, complemented
13C2×#11719315C211yesmaximal, characteristic, complemented
14C2×#11719534C211yesmaximal, characteristic, complemented
15C2×#11719296C211yesmaximal, characteristic, complemented
16C2×#11719296C211yesmaximal, characteristic, complemented
17C2×#11719295C211yesmaximal, characteristic, complemented
18C2×#11719345C211yesmaximal, characteristic, complemented
19C2×#11719320C211yesmaximal, characteristic, complemented
20C2×#11719343C211yesmaximal, characteristic, complemented
21C2×#11719269C211yesmaximal, characteristic, complemented
22C2×#11719265C211yesmaximal, characteristic, complemented
23C2×#11719318C211yesmaximal, characteristic, complemented
24C2×#11719354C211yesmaximal, characteristic, complemented
25C2×#11719354C211yesmaximal, characteristic, complemented
26C2×#11719361C211yesmaximal, characteristic, complemented
27C22×#88183C211yesmaximal, characteristic, complemented
28C2×D13×#123C211yesmaximal, characteristic, complemented
29C2×#11719251C211yesmaximal, characteristic, complemented
30C2×#11719250C211yesmaximal, characteristic, complemented
31C22×C4×C22⋊D13C211yesmaximal, characteristic, complemented
32C2×C13×#525C211yesmaximal, characteristic, complemented
33C22×C13×#41C2211yescharacteristic, complemented
34C24×C4×C13C2211yescharacteristic, complemented
35C23×C22⋊D13C2211yescharacteristic
36C23×C22⋊D13C2211yescharacteristic
37C22×#6129C2211yescharacteristic
38C22×#6129C2211yescharacteristic, complemented
39C22×D4×D13C2211yescharacteristic
40C22×D4×D13C2211yescharacteristic
41C23×C4×D13C2211yescharacteristic, complemented
42C13×#525C22116yescomplemented
43C2×C13×#123C2211yescharacteristic, complemented
44C2×C13×#123C2211yescharacteristic, complemented
45C2×C13×C22⋊Q8C2211yescharacteristic, complemented
46C2×C13×C22⋊Q8C2211yescharacteristic, complemented
47C2×C13×#121C2211yescharacteristic, complemented
48C2×C13×#121C2211yescharacteristic, complemented
49C2×C13×#120C2211yescharacteristic
50C2×C13×#120C2211yescharacteristic, complemented
51C2×C4×D4×C13C2211yescharacteristic, complemented
52C2×C4×D4×C13C2211yescharacteristic, complemented
53C2×C4×D4×C13C2211yescharacteristic, complemented
54C2×C4×D4×C13C2211yescharacteristic, complemented
55C2×C13×#117C2211yescharacteristic, complemented
56C22×C22⋊Dic13C2211yescharacteristic, complemented
57C22×C22⋊Dic13C2211yescharacteristic, complemented
58#11719534C22116yescomplemented
59#11719529C22116yescomplemented
60C2×#88201C2211yescharacteristic, complemented
61C2×#88200C2211yescharacteristic, complemented
62C2×#88200C2211yescharacteristic, complemented
63C2×#88198C2211yescharacteristic, complemented
64C2×#88194C2211yescharacteristic
65C2×#88193C2211yescharacteristic
66C2×#88193C2211yescharacteristic
67C2×#88193C2211yescharacteristic
68C2×#88193C2211yescharacteristic, complemented
69C2×#88193C2211yescharacteristic, complemented
70C2×#88193C2211yescharacteristic, complemented
71C2×#88193C2211yescharacteristic, complemented
72C2×#88193C2211yescharacteristic, complemented
73C2×#88192C2211yescharacteristic, complemented
74C2×#88192C2211yescharacteristic, complemented
75C2×#88191C2211yescharacteristic
76C2×#88191C2211yescharacteristic, complemented
77C2×#88191C2211yescharacteristic, complemented
78C2×#88191C2211yescharacteristic, complemented
79C2×#88190C2211yescharacteristic, complemented
80C2×#88189C2211yescharacteristic, complemented
81C2×#88189C2211yescharacteristic, complemented
82C2×#88189C2211yescharacteristic, complemented
83C2×#88189C2211yescharacteristic, complemented
84C2×D4×Dic13C2211yescharacteristic, complemented
85C2×D4×Dic13C2211yescharacteristic, complemented
86C2×D4×Dic13C2211yescharacteristic, complemented
87C2×D4×Dic13C2211yescharacteristic, complemented
88C2×#88184C2211yescharacteristic, complemented
89C2×#88183C2211yescharacteristic
90C2×#88183C2211yescharacteristic
91C2×#88183C2211yescharacteristic, complemented
92C2×#88183C2211yescharacteristic, complemented
93C2×#88183C2211yescharacteristic, complemented
94C2×#88183C2211yescharacteristic, complemented
95C2×#88183C2211yescharacteristic, complemented
96C2×#88183C2211yescharacteristic, complemented
97C2×#88183C2211yescharacteristic, complemented
98C2×#88183C2211yescharacteristic, complemented
99C2×#88183C22116yescomplemented
100C2×C4×C22⋊D13C2211yescharacteristic
101C2×C4×C22⋊D13C2211yescharacteristic
102C2×C4×C22⋊D13C2211yescharacteristic, complemented
103C2×C4×C22⋊D13C2211yescharacteristic, complemented
104C2×C4×C22⋊D13C2211yescharacteristic, complemented
105C2×C4×C22⋊D13C2211yescharacteristic, complemented
106C2×C4×C22⋊D13C2211yescharacteristic, complemented
107C2×C4×C22⋊D13C2211yescharacteristic, complemented
108C2×C4×C22⋊D13C2211yescharacteristic, complemented
109C2×C4×C22⋊D13C2211yescharacteristic, complemented
110C2×C4×C22⋊D13C22116yescomplemented
111C22×#6103C2211yescharacteristic, complemented
112C22×#6103C2211yescharacteristic, complemented
113C22×#6103C2211yescharacteristic, complemented
114C22×#6103C2211yescharacteristic, complemented
115C2×#88178C2211yescharacteristic, complemented
116C22×#6101C2211yescharacteristic, complemented
117C22×#6101C2211yescharacteristic, complemented
118C22×#6101C2211yescharacteristic, complemented
119C22×#6101C2211yescharacteristic, complemented
120C22×C4×Dic13C2211yescharacteristic, complemented
121#11719361C22116yescomplemented
122D13×#123C22116yescomplemented
123#11719354C22116yescomplemented
124#11719354C22116yescomplemented
125#11719345C22116yescomplemented
126#11719343C22116yescomplemented
127#11719342C22116yescomplemented
128#11719341C22116yescomplemented
129#11719320C22116yescomplemented
130#11719318C22116yescomplemented
131#11719315C22116yescomplemented
132#11719306C22116yescomplemented
133#11719296C22116yescomplemented
134#11719296C22116yescomplemented
135#11719295C22116yescomplemented
136#11719292C22116yescomplemented
137#11719269C22116yescomplemented
138#11719265C22116yescomplemented
139#11719264C22116yescomplemented
140#11719263C22116yescomplemented
141#11719261C22116yescomplemented
142#11719251C22116yescomplemented
143#11719250C22116yescomplemented
144#11719245C22116yescomplemented
145#11719236C22116yescomplemented
146#11719232C22116yescomplemented
147C2×#88152C2211yescharacteristic, complemented
148C2×#88152C2211yescharacteristic, complemented
149C2×#88152C2211yescharacteristic, complemented
150C2×#88152C2211yescharacteristic, complemented
151C2×#88150C2211yescharacteristic, complemented
152C2×#88150C2211yescharacteristic, complemented
153C2×#88150C2211yescharacteristic, complemented
154C2×#88150C2211yescharacteristic, complemented
155C2×#88148C2211yescharacteristic, complemented
156C2×#88148C2211yescharacteristic, complemented
157C2×#88148C2211yescharacteristic, complemented
158C2×#88148C2211yescharacteristic, complemented
159C2×#88147C2211yescharacteristic, complemented
160C2×#88147C2211yescharacteristic, complemented
161C2×#88146C2211yescharacteristic, complemented
162C2×#88146C2211yescharacteristic, complemented
163C2×C4⋊C4×D13C2211yescharacteristic, complemented
164C2×C4⋊C4×D13C2211yescharacteristic, complemented
165C2×#88143C2211yescharacteristic, complemented
166C2×#88143C2211yescharacteristic, complemented
167C2×#88143C2211yescharacteristic, complemented
168C2×#88143C2211yescharacteristic, complemented
169C2×#88141C2211yescharacteristic, complemented
170C2×#88141C2211yescharacteristic, complemented
171C2×#88140C2211yescharacteristic
172C2×#88140C2211yescharacteristic, complemented
173C2×#88139C2211yescharacteristic, complemented
174C2×#88139C2211yescharacteristic, complemented
175C2×#88139C2211yescharacteristic, complemented
176C2×#88139C2211yescharacteristic, complemented
177C2×#88138C2211yescharacteristic
178C2×#88138C2211yescharacteristic
179C2×#88138C2211yescharacteristic, complemented
180C2×#88138C2211yescharacteristic, complemented
181C2×#88137C2211yescharacteristic, complemented
182C2×#88137C2211yescharacteristic, complemented
183C2×#88137C2211yescharacteristic, complemented
184C2×#88137C2211yescharacteristic, complemented
185C2×#88136C2211yescharacteristic
186C2×#88136C2211yescharacteristic
187C2×#88135C2211yescharacteristic
188C2×#88135C2211yescharacteristic
189C2×#88135C2211yescharacteristic
190C2×#88135C2211yescharacteristic, complemented
191C2×#88135C2211yescharacteristic, complemented
192C2×#88135C2211yescharacteristic, complemented
193C2×#88135C2211yescharacteristic, complemented
194C2×#88135C2211yescharacteristic, complemented
195C2×C22⋊C4×D13C2211yescharacteristic, complemented
196C2×C22⋊C4×D13C2211yescharacteristic, complemented
197C2×C22⋊C4×D13C2211yescharacteristic, complemented
198C2×C22⋊C4×D13C2211yescharacteristic, complemented
199C2×#88133C2211yescharacteristic, complemented
200C2×#88133C2211yescharacteristic, complemented
201C2×#88133C2211yescharacteristic, complemented
202C2×#88133C2211yescharacteristic, complemented
203C2×#88132C2211yescharacteristic, complemented
204C2×#88132C2211yescharacteristic, complemented
205C2×#88132C2211yescharacteristic, complemented
206C2×#88132C2211yescharacteristic, complemented
207C2×#88131C2211yescharacteristic, complemented
208C2×#88131C2211yescharacteristic, complemented
209C2×#88131C2211yescharacteristic, complemented
210C2×#88131C2211yescharacteristic, complemented
211C2×#88130C2211yescharacteristic, complemented
212C2×#88130C2211yescharacteristic, complemented
213C2×#88129C2211yescharacteristic, complemented
214C2×C4×D52C2211yescharacteristic, complemented
215C2×#88126C2211yescharacteristic, complemented
216C2×#88126C2211yescharacteristic, complemented
217C2×#88124C2211yescharacteristic, complemented
218C2×C4×Dic26C2211yescharacteristic, complemented
219C25×C13C2311yescharacteristic
220C24×D13C2311yescharacteristic
221C24×D13C2311yescharacteristic
222C24×D13C2311yescharacteristic
223C2×C13×#41—44no—
224C2×C13×#41C2318yescomplemented
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×C13—44no—
234C23×C4×C13C2311yescharacteristic
235C23×C4×C13C2311yescharacteristic
236C23×C4×C13C2311yescharacteristic
237C23×C4×C13C2311yescharacteristic
238C23×C4×C13C2311yescharacteristic
239C23×C4×C13C2311yescharacteristic
240C23×C4×C13C2311yescharacteristic
241C23×C4×C13C2311yescharacteristic
242C23×C4×C13C2318yescomplemented
243C22×C22⋊D13—28no—
244C22×C22⋊D13—44no—
245C22×C22⋊D13C2311yescharacteristic
246C22×C22⋊D13C2311yescharacteristic
247C22×C22⋊D13C2311yescharacteristic
248C22×C22⋊D13C2311yescharacteristic
249C22×C22⋊D13C2311yescharacteristic
250C22×C22⋊D13C2311yescharacteristic
251C22×C22⋊D13C2311yescharacteristic
252C22×C22⋊D13C2318yes—
253C22×C22⋊D13C2311yescharacteristic
254C22×C22⋊D13C2311yescharacteristic
255C22×C22⋊D13C2311yescharacteristic
256C22×C22⋊D13C2311yescharacteristic
257C22×C22⋊D13C2311yescharacteristic
258C22×C22⋊D13C2311yescharacteristic
259C22×C22⋊D13C2318yes—
260C22×C22⋊D13C2311yescharacteristic
261C23×Dic13C2311yescharacteristic
262C23×Dic13C2311yescharacteristic
263C23×Dic13C2311yescharacteristic
264C23×Dic13C2311yescharacteristic
265C23×Dic13C2311yescharacteristic
266C23×Dic13C2311yescharacteristic
267C23×Dic13C2311yescharacteristic
268C23×Dic13C2311yescharacteristic
269C23×Dic13C2311yescharacteristic
270C2×#6129—28no—
271C2×#6129—44no—
272C2×#6129C2318yes—
273C2×#6129C2318yescomplemented
274C2×D4×D13—28no—
275C2×D4×D13—44no—
276C2×D4×D13C2318yes—
277C2×D4×D13C2318yes—
278C22×D52C2311yescharacteristic
279C22×D52C2311yescharacteristic
280C22×D52C2311yescharacteristic
281C22×C4×D13—44no—
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×D13C2311yescharacteristic
292C22×C4×D13C2318yescomplemented
293C22×Dic26C2311yescharacteristic
294C22×Dic26C2311yescharacteristic
295C22×Dic26C2311yescharacteristic
296C13×#123C2318yescomplemented
297C13×#123C2318yescomplemented
298C13×C22⋊Q8C2318yescomplemented
299C13×C22⋊Q8C2318yescomplemented
300C13×#121C2318yescomplemented
301C13×#121C2318yescomplemented
302C13×#120C2318yes—
303C13×#120C2318yescomplemented
304C4×D4×C13C2318yescomplemented
305C4×D4×C13C2318yescomplemented
306C4×D4×C13C2318yescomplemented
307C4×D4×C13C2318yescomplemented
308C13×#117C2318yescomplemented
309C2×C13×C4⋊C4C2311yescharacteristic
310C2×C13×C4⋊C4C2311yescharacteristic
311C2×C13×C4⋊C4C2311yescharacteristic
312C2×C13×C4⋊C4C2311yescharacteristic
313C2×C13×C4⋊C4C2311yescharacteristic
314C2×C13×C4⋊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×C42×C13C2311yescharacteristic
326C2×C42×C13C2311yescharacteristic
327C2×C22⋊Dic13C2311yescharacteristic
328C2×C22⋊Dic13C2311yescharacteristic
329C2×C22⋊Dic13C2311yescharacteristic
330C2×C22⋊Dic13C2311yescharacteristic
331C2×C22⋊Dic13C2311yescharacteristic
332C2×C22⋊Dic13C2311yescharacteristic
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⋊Dic13C2318yescomplemented
342C2×C22⋊Dic13C2318yescomplemented
343#88201C2318yescomplemented
344#88200C2318yescomplemented
345#88200C2318yescomplemented
346#88198C2318yescomplemented
347#88194C2318yes—
348#88193C2318yes—
349#88193C2318yes—
350#88193C2318yes—
351#88193C2318yescomplemented
352#88193C2318yescomplemented
353#88193C2318yescomplemented
354#88193C2318yescomplemented
355#88193C2318yescomplemented
356#88192C2318yescomplemented
357#88192C2318yescomplemented
358#88191C2318yes—
359#88191C2318yescomplemented
360#88191C2318yescomplemented
361#88191C2318yescomplemented
362#88190C2318yescomplemented
363#88189C2318yescomplemented
364#88189C2318yescomplemented
365#88189C2318yescomplemented
366#88189C2318yescomplemented
367D4×Dic13C2318yescomplemented
368D4×Dic13C2318yescomplemented
369D4×Dic13C2318yescomplemented
370D4×Dic13C2318yescomplemented
371#88184C2318yescomplemented
372#88183C2318yes—
373#88183C2318yes—
374#88183C2318yescomplemented
375#88183C2318yescomplemented
376#88183C2318yescomplemented
377#88183C2318yescomplemented
378#88183C2318yescomplemented
379#88183C2318yescomplemented
380#88183C2318yescomplemented
381#88183C2318yescomplemented
382C4×C22⋊D13C2318yes—
383C4×C22⋊D13C2318yes—
384C4×C22⋊D13C2318yescomplemented
385C4×C22⋊D13C2318yescomplemented
386C4×C22⋊D13C2318yescomplemented
387C4×C22⋊D13C2318yescomplemented
388C4×C22⋊D13C2318yescomplemented
389C4×C22⋊D13C2318yescomplemented
390C4×C22⋊D13C2318yescomplemented
391C4×C22⋊D13C2318yescomplemented
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×#6103C2311yescharacteristic
410C2×#6103C2311yescharacteristic
411C2×#6103C2311yescharacteristic
412C2×#6103C2311yescharacteristic
413C2×#6103C2311yescharacteristic
414C2×#6103C2311yescharacteristic
415C2×#6103C2311yescharacteristic
416C2×#6103C2318yescomplemented
417C2×#6103C2318yescomplemented
418C2×#6103C2318yescomplemented
419C2×#6103C2318yescomplemented
420C2×C4⋊Dic13C2311yescharacteristic
421C2×C4⋊Dic13C2311yescharacteristic
422C2×C4⋊Dic13C2311yescharacteristic
423C2×C4⋊Dic13C2311yescharacteristic
424C2×C4⋊Dic13C2311yescharacteristic
425C2×C4⋊Dic13C2311yescharacteristic
426#88178C2318yescomplemented
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×#6101C2311yescharacteristic
445C2×#6101C2311yescharacteristic
446C2×#6101C2311yescharacteristic
447C2×#6101C2311yescharacteristic
448C2×#6101C2311yescharacteristic
449C2×#6101C2311yescharacteristic
450C2×#6101C2311yescharacteristic
451C2×#6101C2318yescomplemented
452C2×#6101C2318yescomplemented
453C2×#6101C2318yescomplemented
454C2×#6101C2318yescomplemented
455C2×C4×Dic13C2311yescharacteristic
456C2×C4×Dic13C2311yescharacteristic
457C2×C4×Dic13C2311yescharacteristic
458C2×C4×Dic13C2311yescharacteristic
459C2×C4×Dic13C2311yescharacteristic
460C2×C4×Dic13C2311yescharacteristic
461C2×C4×Dic13C2311yescharacteristic
462C2×C4×Dic13C2311yescharacteristic
463C2×C4×Dic13C2311yescharacteristic
464C2×C4×Dic13C2311yescharacteristic
465C2×C4×Dic13C2318yescomplemented
466#88152C2318yescomplemented
467#88152C2318yescomplemented
468#88152C2318yescomplemented
469#88152C2318yescomplemented
470#88150C2318yescomplemented
471#88150C2318yescomplemented
472#88150C2318yescomplemented
473#88150C2318yescomplemented
474#88148C2318yescomplemented
475#88148C2318yescomplemented
476#88148C2318yescomplemented
477#88148C2318yescomplemented
478#88147C2318yescomplemented
479#88147C2318yescomplemented
480#88146C2318yescomplemented
481#88146C2318yescomplemented
482C4⋊C4×D13C2318yescomplemented
483C4⋊C4×D13C2318yescomplemented
484#88143C2318yescomplemented
485#88143C2318yescomplemented
486#88143C2318yescomplemented
487#88143C2318yescomplemented
488#88141C2318yescomplemented
489#88141C2318yescomplemented
490#88140C2318yes—
491#88140C2318yescomplemented
492#88139C2318yescomplemented
493#88139C2318yescomplemented
494#88139C2318yescomplemented
495#88139C2318yescomplemented
496#88138C2318yes—
497#88138C2318yes—
498#88138C2318yescomplemented
499#88138C2318yescomplemented
500#88137C2318yescomplemented
501#88137C2318yescomplemented
502#88137C2318yescomplemented
503#88137C2318yescomplemented
504#88136C2318yes—
505#88136C2318yes—
506#88135C2318yes—
507#88135C2318yes—
508#88135C2318yes—
509#88135C2318yescomplemented
510#88135C2318yescomplemented
511#88135C2318yescomplemented
512#88135C2318yescomplemented
513#88135C2318yescomplemented
514C22⋊C4×D13C2318yescomplemented
515C22⋊C4×D13C2318yescomplemented
516C22⋊C4×D13C2318yescomplemented
517C22⋊C4×D13C2318yescomplemented
518#88133C2318yescomplemented
519#88133C2318yescomplemented
520#88133C2318yescomplemented
521#88133C2318yescomplemented
522#88132C2318yescomplemented
523#88132C2318yescomplemented
524#88132C2318yescomplemented
525#88132C2318yescomplemented
526#88131C2318yescomplemented
527#88131C2318yescomplemented
528#88131C2318yescomplemented
529#88131C2318yescomplemented
530#88130C2318yescomplemented
531#88130C2318yescomplemented
532#88129C2318yescomplemented
533C4×D52C2318yescomplemented
534#88126C2318yescomplemented
535#88126C2318yescomplemented
536#88124C2318yescomplemented
537C4×Dic26C2318yescomplemented
538C2×#3513—131nomaximal, Sylow
539C24×C13—24no—
540C24×C13—24no—
541C24×C13—42no—
542C24×C13C2411yescharacteristic
543C24×C13C2411yescharacteristic
544C24×C13C2411yescharacteristic
545C24×C13C2414yes—
546C24×C13C2411yescharacteristic
547C24×C13C2411yescharacteristic
548C23×D13—24no—
549C23×D13—24no—
550C23×D13—24no—
551C23×D13—24no—
552C23×D13—42no—
553C23×D13—42no—
554C23×D13—42no—
555C23×D13—42no—
556C23×D13—42no—
557C23×D13C2411yescharacteristic
558C23×D13C2411yescharacteristic
559C23×D13C2411yescharacteristic
560C23×D13C2414yes—
561C23×D13C2411yescharacteristic
562C23×D13C2414yes—
563C23×D13C2414yes—
564C13×#41—416no—
565C2×Q8×C13—42no—
566C2×Q8×C13C2414yes—
567C2×D4×C13—24no—
568C2×D4×C13—24no—
569C2×D4×C13—24no—
570C2×D4×C13—24no—
571C2×D4×C13—42no—
572C2×D4×C13—42no—
573C2×D4×C13—42no—
574C2×D4×C13C2414yes—
575C2×D4×C13C2414yes—
576C2×D4×C13C2414yes—
577C2×D4×C13C2414yes—
578C2×D4×C13C2414yes—
579C2×D4×C13C2414yes—
580C2×D4×C13C2414yes—
581C22×C4×C13—24no—
582C22×C4×C13—24no—
583C22×C4×C13—42no—
584C22×C4×C13—42no—
585C22×C4×C13—42no—
586C22×C4×C13—42no—
587C22×C4×C13—416no—
588C22×C4×C13—42no—
589C22×C4×C13—42no—
590C22×C4×C13C2411yescharacteristic
591C22×C4×C13C2411yescharacteristic
592C22×C4×C13C2411yescharacteristic
593C22×C4×C13C2411yescharacteristic
594C22×C4×C13C2411yescharacteristic
595C22×C4×C13C2411yescharacteristic
596C22×C4×C13C2411yescharacteristic
597C22×C4×C13C2414yes—
598C22×C4×C13C2411yescharacteristic
599C22×C4×C13C2411yescharacteristic
600C22×C4×C13C2411yescharacteristic
601C22×C4×C13C2414yes—
602C22×C4×C13C2414yes—
603C22×C4×C13C2414yes—
604C22×C4×C13C2414yes—
605C22×C4×C13C2414yes—
606C22×C4×C13C2414yes—
607C22×C4×C13C2414yes—
608C2×C22⋊D13—24no—
609C2×C22⋊D13—24no—
610C2×C22⋊D13—24no—
611C2×C22⋊D13—24no—
612C2×C22⋊D13—24no—
613C2×C22⋊D13—232no—
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—416no—
623C2×C22⋊D13#4118yescomplemented
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—
636C2×C22⋊D13C2414yes—
637C2×C22⋊D13C2414yes—
638C22×Dic13—24no—
639C22×Dic13—24no—
640C22×Dic13—24no—
641C22×Dic13—24no—
642C22×Dic13—42no—
643C22×Dic13—42no—
644C22×Dic13—42no—
645C22×Dic13—42no—
646C22×Dic13—42no—
647C22×Dic13C2414yes—
648C22×Dic13C2414yes—
649C22×Dic13C2414yes—
650C22×Dic13C2414yes—
651C22×Dic13C2411yescharacteristic
652C22×Dic13C2411yescharacteristic
653C22×Dic13C2411yescharacteristic
654C22×Dic13C2411yescharacteristic
655C22×Dic13C2411yescharacteristic
656C22×Dic13C2411yescharacteristic
657C22×Dic13C2411yescharacteristic
658C22×Dic13C2411yescharacteristic
659C22×Dic13C2411yescharacteristic
660C22×Dic13C2411yescharacteristic
661C22×Dic13C2411yescharacteristic
662C22×Dic13C2414yes—
663C22×Dic13C2414yes—
664C22×Dic13C2414yes—
665C22×Dic13C2414yes—
666C22×Dic13C2414yes—
667C22×Dic13C2411yescharacteristic
668#6129—232no—
669#6129—416no—
670D4×D13—232no—
671D4×D13—416no—
672C2×D52—24no—
673C2×D52—42no—
674C2×D52—42no—
675C2×D52C2414yes—
676C2×D52C2414yes—
677C2×D52C2414yes—
678C2×C4×D13—24no—
679C2×C4×D13—24no—
680C2×C4×D13—42no—
681C2×C4×D13—42no—
682C2×C4×D13—42no—
683C2×C4×D13—42no—
684C2×C4×D13—416no—
685C2×C4×D13—42no—
686C2×C4×D13—42no—
687C2×C4×D13—42no—
688C2×C4×D13—42no—
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×C4×D13C2414yes—
698C2×C4×D13C2414yes—
699C2×Dic26—24no—
700C2×Dic26—42no—
701C2×Dic26—42no—
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×C22⋊C4C2414yes—
712C13×C22⋊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—
721C42×C13C2414yes—
722C42×C13C2414yes—
723C22⋊Dic13C2414yes—
724C22⋊Dic13C2414yes—
725C22⋊Dic13C2414yes—
726C22⋊Dic13C2414yes—
727C22⋊Dic13C2414yes—
728C22⋊Dic13C2414yes—
729C22⋊Dic13C2414yes—
730C22⋊Dic13C2414yes—
731C22⋊Dic13C2414yes—
732C22⋊Dic13C2414yes—
733C22⋊Dic13C2414yes—
734C22⋊Dic13C2414yes—
735C22⋊Dic13C2414yes—
736C22⋊Dic13C2414yes—
737#6103C2414yes—
738#6103C2414yes—
739#6103C2414yes—
740#6103C2414yes—
741#6103C2414yes—
742#6103C2414yes—
743#6103C2414yes—
744#6103C2414yes—
745#6103C2414yes—
746#6103C2414yes—
747#6103C2414yes—
748#6103C2414yes—
749#6103C2414yes—
750#6103C2414yes—
751#6103C2414yes—
752#6103C2414yes—
753#6103C2414yes—
754#6103C2414yes—
755#6103C2414yes—
756#6103C2414yes—
757#6103C2414yes—
758#6103C2414yes—
759#6103C2414yes—
760#6103C2414yes—
761C4⋊Dic13C2414yes—
762C4⋊Dic13C2414yes—
763C4⋊Dic13C2414yes—
764C4⋊Dic13C2414yes—
765C4⋊Dic13C2414yes—
766C4⋊Dic13C2414yes—
767#6101C2414yes—
768#6101C2414yes—
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—
789#6101C2414yes—
790#6101C2414yes—
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×#525D1311yescharacteristic, complemented
828C22×#123—131no—
829C22×#123—131no—
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—28no—
843C23×C13—22no—
844C23×C13—22no—
845C23×C13—22no—
846C23×C13—22no—
847C23×C13—22no—
848C23×C13—44no—
849C23×C13—416no—
850C23×C13C2×#4114yes—
851C23×C13H(5,𝔽2)14yes—
852C23×C13C2512yes—
853C23×C13C2512yes—
854C23×C13C2512yes—
855C23×C13C2512yes—
856C23×C13C2512yes—
857C23×C13C2511yescharacteristic
858C22×D13—22no—
859C22×D13—22no—
860C22×D13—22no—
861C22×D13—22no—
862C22×D13—22no—
863C22×D13—22no—
864C22×D13—28no—
865C22×D13—22no—
866C22×D13—22no—
867C22×D13—22no—
868C22×D13—22no—
869C22×D13—22no—
870C22×D13—28no—
871C22×D13—28no—
872C22×D13—28no—
873C22×D13—44no—
874C22×D13—44no—
875C22×D13—44no—
876C22×D13—44no—
877C22×D13—44no—
878C22×D13—416no—
879C22×D13—88no—
880C22×D13—88no—
881C22×D13C2×#4114yes—
882C22×D13C2512yes—
883C22×D13C2512yes—
884C22×D13C2512yes—
885C22×D13C2512yes—
886Q8×C13—44no—
887D4×C13—28no—
888D4×C13—28no—
889D4×C13—28no—
890D4×C13—28no—
891D4×C13—44no—
892D4×C13—44no—
893D4×C13—44no—
894C2×C4×C13—22no—
895C2×C4×C13—22no—
896C2×C4×C13—22no—
897C2×C4×C13—28no—
898C2×C4×C13—22no—
899C2×C4×C13—22no—
900C2×C4×C13—22no—
901C2×C4×C13—22no—
902C2×C4×C13—22no—
903C2×C4×C13—28no—
904C2×C4×C13—22no—
905C2×C4×C13—22no—
906C2×C4×C13—44no—
907C2×C4×C13—44no—
908C2×C4×C13—44no—
909C2×C4×C13—44no—
910C2×C4×C13—44no—
911C2×C4×C13—44no—
912C2×C4×C13C2512yes—
913C2×C4×C13C2512yes—
914C2×C4×C13C2512yes—
915C2×C4×C13C2512yes—
916C2×C4×C13C2512yes—
917C2×C4×C13C2512yes—
918C2×C4×C13C2512yes—
919C2×C4×C13C2512yes—
920C2×C4×C13C2512yes—
921C2×C4×C13C2512yes—
922C22⋊D13—28no—
923C22⋊D13—28no—
924C22⋊D13—28no—
925C22⋊D13—28no—
926C22⋊D13—28no—
927C22⋊D13—28no—
928C22⋊D13—28no—
929C22⋊D13—44no—
930C22⋊D13—44no—
931C22⋊D13—44no—
932C22⋊D13—44no—
933C22⋊D13—44no—
934C22⋊D13—44no—
935C22⋊D13C2×#41116yescomplemented
936C2×Dic13—22no—
937C2×Dic13—22no—
938C2×Dic13—28no—
939C2×Dic13—22no—
940C2×Dic13—22no—
941C2×Dic13—22no—
942C2×Dic13—22no—
943C2×Dic13—28no—
944C2×Dic13—22no—
945C2×Dic13—22no—
946C2×Dic13—22no—
947C2×Dic13—22no—
948C2×Dic13—22no—
949C2×Dic13—28no—
950C2×Dic13—28no—
951C2×Dic13—44no—
952C2×Dic13—44no—
953C2×Dic13—44no—
954C2×Dic13—44no—
955C2×Dic13—44no—
956C2×Dic13C2×#4114yes—
957C2×Dic13C2512yes—
958C2×Dic13C2512yes—
959C2×Dic13C2512yes—
960C2×Dic13C2512yes—
961C2×Dic13C2512yes—
962C2×Dic13C2512yes—
963C2×Dic13C2512yes—
964C2×Dic13C2512yes—
965C2×Dic13C2512yes—
966C2×Dic13C2512yes—
967C2×Dic13C2512yes—
968C2×Dic13C2512yes—
969D52—28no—
970D52—44no—
971D52—44no—
972C4×D13—28no—
973C4×D13—28no—
974C4×D13—44no—
975C4×D13—44no—
976C4×D13—44no—
977C4×D13—44no—
978C4×D13—44no—
979C4×D13—44no—
980C4×D13—44no—
981C4×D13—44no—
982Dic26—28no—
983Dic26—44no—
984Dic26—44no—
985C22×#41—131no—
986C22×#41—131no—
987C22×#41C2×D1311yescharacteristic, complemented
988C23×D4—131no—
989C23×D4—131no—
990C23×D4—131no—
991C23×D4—131no—
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#525C2×D13116yescomplemented
1044C2×#123—131no—
1045C2×#123—131no—
1046C2×#123—131no—
1047C2×#123—131no—
1048C2×#123—131no—
1049C2×#123—131no—
1050C2×#123—131no—
1051C2×#123—131no—
1052C2×#123—131no—
1053C2×#123—131no—
1054C2×#123—131no—
1055C2×#123—131no—
1056C2×#123—131no—
1057C2×#123—131no—
1058C2×#123—1316no—
1059C2×#123—1316no—
1060C2×#123—131no—
1061C2×#123—131no—
1062C2×#123—131no—
1063C2×#123—131no—
1064C2×#123—131no—
1065C2×#123—131no—
1066C2×#123—131no—
1067C2×#123—131no—
1068C2×#123—131no—
1069C2×#123—131no—
1070C2×#123C2×D1311yescharacteristic, complemented
1071C2×#123C2×D1311yescharacteristic, complemented
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⋊Q8C2×D1311yescharacteristic, complemented
1084C2×C22⋊Q8C2×D1311yescharacteristic, complemented
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×#121C2×D1311yescharacteristic, complemented
1101C2×#121C2×D1311yescharacteristic, complemented
1102C2×#120—131no—
1103C2×#120—131no—
1104C2×#120—131no—
1105C2×#120—131no—
1106C2×#120—131no—
1107C2×#120—131no—
1108C2×#120C2×D1311yescharacteristic
1109C2×#120C2×D1311yescharacteristic, complemented
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—1316no—
1130C2×C4×D4—131no—
1131C2×C4×D4—131no—
1132C2×C4×D4—131no—
1133C2×C4×D4—131no—
1134C2×C4×D4—131no—
1135C2×C4×D4—131no—
1136C2×C4×D4—131no—
1137C2×C4×D4—131no—
1138C2×C4×D4—131no—
1139C2×C4×D4—131no—
1140C2×C4×D4—131no—
1141C2×C4×D4C2×D1311yescharacteristic, complemented
1142C2×C4×D4C2×D1311yescharacteristic, complemented
1143C2×C4×D4C2×D1311yescharacteristic, complemented
1144C2×C4×D4C2×D1311yescharacteristic, complemented
1145C2×#117—131no—
1146C2×#117—131no—
1147C2×#117—131no—
1148C2×#117—131no—
1149C2×#117—131no—
1150C2×#117—131no—
1151C2×#117—131no—
1152C2×#117—131no—
1153C2×#117C2×D1311yescharacteristic, complemented
1154C22×C4⋊C4—131no—
1155C22×C4⋊C4—131no—
1156C22×C4⋊C4—131no—
1157C22×C4⋊C4—131no—
1158C22×C4⋊C4—131no—
1159C22×C4⋊C4—131no—
1160C22×C22⋊C4—131no—
1161C22×C22⋊C4—131no—
1162C22×C22⋊C4—131no—
1163C22×C22⋊C4—131no—
1164C22×C22⋊C4—131no—
1165C22×C22⋊C4—131no—
1166C22×C22⋊C4—131no—
1167C22×C22⋊C4—131no—
1168C22×C22⋊C4—131no—
1169C22×C22⋊C4—131no—
1170C22×C42—131no—
1171C22×C13—22no—
1172C22×C13—22no—
1173C22×C13—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×C13C22×#4114yes—
1191C22×C13C22×#4112yes—
1192C22×C13C2×H(5,𝔽2)14yes—
1193C22×C13C2×H(5,𝔽2)12yes—
1194C22×C13#58512yes—
1195C22×C13C2611yescharacteristic
1196C2×D13—22no—
1197C2×D13—22no—
1198C2×D13—28no—
1199C2×D13—22no—
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—416no—
1209C2×D13—44no—
1210C2×D13—44no—
1211C2×D13—44no—
1212C2×D13—88no—
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—
1239C25—131no—
1240C25C22×D1311yescharacteristic
1241C2×#41—44no—
1242C2×#41—138no—
1243C2×#41—138no—
1244C2×#41—268no—
1245C2×#41—524no—
1246C2×#41C22×D1318yescomplemented
1247C22×Q8—131no—
1248C22×Q8—131no—
1249C22×Q8—131no—
1250C22×Q8C22×D1311yescharacteristic
1251C22×D4—131no—
1252C22×D4—131no—
1253C22×D4—131no—
1254C22×D4—131no—
1255C22×D4—131no—
1256C22×D4—131no—
1257C22×D4—138no—
1258C22×D4—131no—
1259C22×D4—131no—
1260C22×D4—131no—
1261C22×D4—131no—
1262C22×D4—131no—
1263C22×D4—131no—
1264C22×D4—131no—
1265C22×D4—131no—
1266C22×D4—138no—
1267C22×D4—138no—
1268C22×D4—138no—
1269C22×D4—131no—
1270C22×D4—131no—
1271C22×D4—131no—
1272C22×D4—268no—
1273C22×D4—268no—
1274C22×D4—524no—
1275C22×D4—524no—
1276C22×D4C22×D1311yescharacteristic
1277C22×D4C22×D1311yescharacteristic
1278C22×D4C22×D1311yescharacteristic
1279C22×D4C22×D1311yescharacteristic
1280C22×D4C22×D1311yescharacteristic
1281C22×D4C22×D1311yescharacteristic
1282C22×D4C22×D1311yescharacteristic
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—131no—
1303C23×C4—138no—
1304C23×C4—524no—
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#123—138no—
1357#123—138no—
1358#123—138no—
1359#123—138no—
1360#123—138no—
1361#123—138no—
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⋊Q8C22×D1318yescomplemented
1376C22⋊Q8C22×D1318yescomplemented
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#121C22×D1318yescomplemented
1393#121C22×D1318yescomplemented
1394#120—138no—
1395#120—138no—
1396#120—138no—
1397#120—138no—
1398#120—138no—
1399#120—138no—
1400#120C22×D1318yes—
1401#120C22×D1318yescomplemented
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×D4C22×D1318yescomplemented
1431C4×D4C22×D1318yescomplemented
1432C4×D4C22×D1318yescomplemented
1433C4×D4C22×D1318yescomplemented
1434#117—138no—
1435#117—138no—
1436#117—138no—
1437#117—138no—
1438#117—138no—
1439#117—138no—
1440#117—138no—
1441#117—138no—
1442#117C22×D1318yescomplemented
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—131no—
1450C2×C4⋊C4—131no—
1451C2×C4⋊C4—131no—
1452C2×C4⋊C4—138no—
1453C2×C4⋊C4—131no—
1454C2×C4⋊C4—131no—
1455C2×C4⋊C4—131no—
1456C2×C4⋊C4—131no—
1457C2×C4⋊C4—138no—
1458C2×C4⋊C4—138no—
1459C2×C4⋊C4—131no—
1460C2×C4⋊C4—131no—
1461C2×C4⋊C4—131no—
1462C2×C4⋊C4—131no—
1463C2×C4⋊C4—138no—
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—131no—
1473C2×C4⋊C4—131no—
1474C2×C4⋊C4—131no—
1475C2×C4⋊C4—131no—
1476C2×C4⋊C4—131no—
1477C2×C4⋊C4—138no—
1478C2×C4⋊C4—138no—
1479C2×C4⋊C4C22×D1311yescharacteristic
1480C2×C4⋊C4C22×D1311yescharacteristic
1481C2×C4⋊C4C22×D1311yescharacteristic
1482C2×C4⋊C4C22×D1311yescharacteristic
1483C2×C4⋊C4C22×D1311yescharacteristic
1484C2×C4⋊C4C22×D1311yescharacteristic
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—138no—
1493C2×C22⋊C4—131no—
1494C2×C22⋊C4—131no—
1495C2×C22⋊C4—131no—
1496C2×C22⋊C4—138no—
1497C2×C22⋊C4—131no—
1498C2×C22⋊C4—131no—
1499C2×C22⋊C4—131no—
1500C2×C22⋊C4—131no—
1501C2×C22⋊C4—131no—
1502C2×C22⋊C4—131no—
1503C2×C22⋊C4—131no—
1504C2×C22⋊C4—131no—
1505C2×C22⋊C4—131no—
1506C2×C22⋊C4—131no—
1507C2×C22⋊C4—131no—
1508C2×C22⋊C4—131no—
1509C2×C22⋊C4—131no—
1510C2×C22⋊C4—131no—
1511C2×C22⋊C4—131no—
1512C2×C22⋊C4—131no—
1513C2×C22⋊C4—131no—
1514C2×C22⋊C4—138no—
1515C2×C22⋊C4—138no—
1516C2×C22⋊C4—138no—
1517C2×C22⋊C4—131no—
1518C2×C22⋊C4—131no—
1519C2×C22⋊C4—131no—
1520C2×C22⋊C4—131no—
1521C2×C22⋊C4—131no—
1522C2×C22⋊C4—138no—
1523C2×C22⋊C4—131no—
1524C2×C22⋊C4—131no—
1525C2×C22⋊C4—131no—
1526C2×C22⋊C4—131no—
1527C2×C22⋊C4—131no—
1528C2×C22⋊C4—131no—
1529C2×C22⋊C4—138no—
1530C2×C22⋊C4—138no—
1531C2×C22⋊C4—138no—
1532C2×C22⋊C4—138no—
1533C2×C22⋊C4C22×D1311yescharacteristic
1534C2×C22⋊C4C22×D1311yescharacteristic
1535C2×C22⋊C4C22×D1311yescharacteristic
1536C2×C22⋊C4C22×D1311yescharacteristic
1537C2×C22⋊C4C22×D1311yescharacteristic
1538C2×C22⋊C4C22×D1311yescharacteristic
1539C2×C22⋊C4C22×D1311yescharacteristic
1540C2×C22⋊C4C22×D1311yescharacteristic
1541C2×C22⋊C4C22×D1311yescharacteristic
1542C2×C22⋊C4C22×D1311yescharacteristic
1543C2×C42—131no—
1544C2×C42—131no—
1545C2×C42—131no—
1546C2×C42—131no—
1547C2×C42—131no—
1548C2×C42—131no—
1549C2×C42—131no—
1550C2×C42—131no—
1551C2×C42—131no—
1552C2×C42—131no—
1553C2×C42—138no—
1554C2×C42C22×D1311yescharacteristic
1555C2×C42C22×D1311yescharacteristic
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—42no—
1572C24—131no—
1573C24—131no—
1574C24—131no—
1575C24—131no—
1576C24—134no—
1577C24—134no—
1578C24—134no—
1579C24—264no—
1580C24—264no—
1581C24—264no—
1582C24—264no—
1583C24—522no—
1584C24—522no—
1585C24—522no—
1586C24—522no—
1587C24—522no—
1588C24C23×D1311yescharacteristic
1589C24C23×D1311yescharacteristic
1590C24C23×D1311yescharacteristic
1591C24C23×D1314yes—
1592C24C23×D1311yescharacteristic
1593C24C23×D1311yescharacteristic
1594#41—416no—
1595#41—2632no—
1596#41—5216no—
1597C2×Q8—42no—
1598C2×Q8—134no—
1599C2×Q8—134no—
1600C2×Q8—134no—
1601C2×Q8—264no—
1602C2×Q8—522no—
1603C2×Q8—522no—
1604C2×Q8C23×D1314yes—
1605C2×D4—24no—
1606C2×D4—24no—
1607C2×D4—24no—
1608C2×D4—24no—
1609C2×D4—42no—
1610C2×D4—42no—
1611C2×D4—42no—
1612C2×D4—138no—
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—264no—
1631C2×D4—264no—
1632C2×D4—264no—
1633C2×D4—2632no—
1634C2×D4—2632no—
1635C2×D4—264no—
1636C2×D4—264no—
1637C2×D4—264no—
1638C2×D4—264no—
1639C2×D4—264no—
1640C2×D4—522no—
1641C2×D4—522no—
1642C2×D4—522no—
1643C2×D4—522no—
1644C2×D4—522no—
1645C2×D4—522no—
1646C2×D4—522no—
1647C2×D4—522no—
1648C2×D4—5216no—
1649C2×D4—5216no—
1650C2×D4C23×D1314yes—
1651C2×D4C23×D1314yes—
1652C2×D4C23×D1314yes—
1653C2×D4C23×D1314yes—
1654C2×D4C23×D1314yes—
1655C2×D4C23×D1314yes—
1656C2×D4C23×D1314yes—
1657C22×C4—24no—
1658C22×C4—24no—
1659C22×C4—42no—
1660C22×C4—42no—
1661C22×C4—42no—
1662C22×C4—42no—
1663C22×C4—416no—
1664C22×C4—42no—
1665C22×C4—42no—
1666C22×C4—131no—
1667C22×C4—134no—
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—264no—
1703C22×C4—522no—
1704C22×C4—522no—
1705C22×C4—522no—
1706C22×C4—522no—
1707C22×C4—5216no—
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×C4—522no—
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⋊C4—134no—
1764C4⋊C4—134no—
1765C4⋊C4C23×D1314yes—
1766C4⋊C4C23×D1314yes—
1767C4⋊C4C23×D1314yes—
1768C4⋊C4C23×D1314yes—
1769C4⋊C4C23×D1314yes—
1770C4⋊C4C23×D1314yes—
1771C22⋊C4—134no—
1772C22⋊C4—134no—
1773C22⋊C4—134no—
1774C22⋊C4—134no—
1775C22⋊C4—134no—
1776C22⋊C4—134no—
1777C22⋊C4—134no—
1778C22⋊C4—134no—
1779C22⋊C4—134no—
1780C22⋊C4—134no—
1781C22⋊C4—134no—
1782C22⋊C4—134no—
1783C22⋊C4—134no—
1784C22⋊C4—134no—
1785C22⋊C4—134no—
1786C22⋊C4—134no—
1787C22⋊C4—134no—
1788C22⋊C4—134no—
1789C22⋊C4—134no—
1790C22⋊C4—134no—
1791C22⋊C4—134no—
1792C22⋊C4—134no—
1793C22⋊C4—134no—
1794C22⋊C4—134no—
1795C22⋊C4—134no—
1796C22⋊C4—134no—
1797C22⋊C4—134no—
1798C22⋊C4—134no—
1799C22⋊C4—134no—
1800C22⋊C4—134no—
1801C22⋊C4—134no—
1802C22⋊C4—134no—
1803C22⋊C4—134no—
1804C22⋊C4—134no—
1805C22⋊C4—134no—
1806C22⋊C4—134no—
1807C22⋊C4—134no—
1808C22⋊C4—134no—
1809C22⋊C4C23×D1314yes—
1810C22⋊C4C23×D1314yes—
1811C22⋊C4C23×D1314yes—
1812C22⋊C4C23×D1314yes—
1813C22⋊C4C23×D1314yes—
1814C22⋊C4C23×D1314yes—
1815C22⋊C4C23×D1314yes—
1816C22⋊C4C23×D1314yes—
1817C22⋊C4C23×D1314yes—
1818C22⋊C4C23×D1314yes—
1819C42—134no—
1820C42—134no—
1821C42—134no—
1822C42—134no—
1823C42—134no—
1824C42—134no—
1825C42—134no—
1826C42—134no—
1827C42—134no—
1828C42—134no—
1829C42C23×D1314yes—
1830C42C23×D1314yes—
1831C13C2×#351311yescharacteristic, complemented, Sylow
1832C23—22no—
1833C23—22no—
1834C23—22no—
1835C23—22no—
1836C23—28no—
1837C23—22no—
1838C23—22no—
1839C23—22no—
1840C23—22no—
1841C23—22no—
1842C23—28no—
1843C23—22no—
1844C23—22no—
1845C23—22no—
1846C23—22no—
1847C23—44no—
1848C23—416no—
1849C23—134no—
1850C23—132no—
1851C23—132no—
1852C23—132no—
1853C23—132no—
1854C23—268no—
1855C23—268no—
1856C23—262no—
1857C23—262no—
1858C23—268no—
1859C23—262no—
1860C23—262no—
1861C23—262no—
1862C23—262no—
1863C23—262no—
1864C23—262no—
1865C23—262no—
1866C23—262no—
1867C23—262no—
1868C23—268no—
1869C23—524no—
1870C23—524no—
1871C23—524no—
1872C23—524no—
1873C23—524no—
1874C23—5216no—
1875C23—1048no—
1876C23—1048no—
1877C23#8825114yes—
1878C23#41×D1314yes—
1879C23C24×D1312yes—
1880C23C24×D1312yes—
1881C23C24×D1312yes—
1882C23C24×D1312yes—
1883C23C24×D1312yes—
1884C23C24×D1311yescharacteristic
1885Q8—44no—
1886Q8—268no—
1887Q8—524no—
1888Q8—524no—
1889D4—28no—
1890D4—28no—
1891D4—28no—
1892D4—28no—
1893D4—44no—
1894D4—44no—
1895D4—44no—
1896D4—1316no—
1897D4—268no—
1898D4—268no—
1899D4—268no—
1900D4—268no—
1901D4—268no—
1902D4—268no—
1903D4—268no—
1904D4—268no—
1905D4—524no—
1906D4—524no—
1907D4—524no—
1908D4—524no—
1909D4—524no—
1910D4—524no—
1911D4—524no—
1912D4—524no—
1913C2×C4—22no—
1914C2×C4—28no—
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—22no—
1924C2×C4—22no—
1925C2×C4—44no—
1926C2×C4—44no—
1927C2×C4—44no—
1928C2×C4—44no—
1929C2×C4—44no—
1930C2×C4—44no—
1931C2×C4—134no—
1932C2×C4—132no—
1933C2×C4—132no—
1934C2×C4—132no—
1935C2×C4—132no—
1936C2×C4—132no—
1937C2×C4—132no—
1938C2×C4—132no—
1939C2×C4—132no—
1940C2×C4—132no—
1941C2×C4—132no—
1942C2×C4—132no—
1943C2×C4—132no—
1944C2×C4—268no—
1945C2×C4—268no—
1946C2×C4—268no—
1947C2×C4—268no—
1948C2×C4—262no—
1949C2×C4—262no—
1950C2×C4—268no—
1951C2×C4—262no—
1952C2×C4—262no—
1953C2×C4—262no—
1954C2×C4—262no—
1955C2×C4—262no—
1956C2×C4—268no—
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—134no—
2004C22—268no—
2005C22—262no—
2006C22—262no—
2007C22—262no—
2008C22—262no—
2009C22—262no—
2010C22—262no—
2011C22—262no—
2012C22—262no—
2013C22—262no—
2014C22—262no—
2015C22—262no—
2016C22—5216no—
2017C22—524no—
2018C22—524no—
2019C22—524no—
2020C22—1048no—
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#1312876214yesdirect product factor
2060C2C22×#41×D1311yescharacteristic
2061C2C22×#8825111yescharacteristic
2062C2C2×#1171964811yescharacteristic
subgroupG/H
centerC23C24×D13
commutator, cosocleC22×C13C26
FrattiniC22C25×D13
FittingC2×C13×#525C2
socleC23×C13C25
hypercenterC2×#525D13
hypocenterC13C2×#3513
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C23 ◁ C2×#525

Complements

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

NH ≅ G/Ntype
1. #13128762C2direct (N × H)
2. C2×#11719264C2semidirect
3. C2×#11719341C2semidirect
4. C2×#11719263C2semidirect
5. C2×#11719245C2semidirect
6. C2×#11719306C2semidirect
7. C2×#11719236C2semidirect
8. C2×#11719292C2semidirect
9. C2×#11719261C2semidirect
10. C2×#11719342C2semidirect
11. C2×#11719232C2semidirect
12. C2×#11719529C2semidirect
13. C2×#11719315C2semidirect
14. C2×#11719534C2semidirect
15. C2×#11719296C2semidirect
16. C2×#11719296C2semidirect
17. C2×#11719295C2semidirect
18. C2×#11719345C2semidirect
19. C2×#11719320C2semidirect
20. C2×#11719343C2semidirect
21. C2×#11719269C2semidirect
22. C2×#11719265C2semidirect
23. C2×#11719318C2semidirect
24. C2×#11719354C2semidirect
25. C2×#11719354C2semidirect
26. C2×#11719361C2semidirect
27. C22×#88183C2semidirect
28. C2×D13×#123C2semidirect
29. C2×#11719251C2semidirect
30. C2×#11719250C2semidirect
31. C22×C4×C22⋊D13C2semidirect
32. C2×C13×#525C2semidirect
33. C22×C13×#41C22semidirect
34. C24×C4×C13C22semidirect
38. C22×#6129C22semidirect
41. C23×C4×D13C22semidirect
42. C13×#525C22semidirect
43. C2×C13×#123C22semidirect
44. C2×C13×#123C22semidirect
45. C2×C13×C22⋊Q8C22semidirect
46. C2×C13×C22⋊Q8C22semidirect
47. C2×C13×#121C22semidirect
48. C2×C13×#121C22semidirect
50. C2×C13×#120C22semidirect
51. C2×C4×D4×C13C22semidirect
52. C2×C4×D4×C13C22semidirect
53. C2×C4×D4×C13C22semidirect
54. C2×C4×D4×C13C22semidirect
55. C2×C13×#117C22semidirect
56. C22×C22⋊Dic13C22semidirect
57. C22×C22⋊Dic13C22semidirect
58. #11719534C22semidirect
59. #11719529C22semidirect
60. C2×#88201C22semidirect
61. C2×#88200C22semidirect
62. C2×#88200C22semidirect
63. C2×#88198C22semidirect
68. C2×#88193C22semidirect
69. C2×#88193C22semidirect
70. C2×#88193C22semidirect
71. C2×#88193C22semidirect
72. C2×#88193C22semidirect
73. C2×#88192C22semidirect
74. C2×#88192C22semidirect
76. C2×#88191C22semidirect
77. C2×#88191C22semidirect
78. C2×#88191C22semidirect
79. C2×#88190C22semidirect
80. C2×#88189C22semidirect
81. C2×#88189C22semidirect
82. C2×#88189C22semidirect
83. C2×#88189C22semidirect
84. C2×D4×Dic13C22semidirect
85. C2×D4×Dic13C22semidirect
86. C2×D4×Dic13C22semidirect
87. C2×D4×Dic13C22semidirect
88. C2×#88184C22semidirect
91. C2×#88183C22semidirect
92. C2×#88183C22semidirect
93. C2×#88183C22semidirect
94. C2×#88183C22semidirect
95. C2×#88183C22semidirect
96. C2×#88183C22semidirect
97. C2×#88183C22semidirect
98. C2×#88183C22semidirect
99. C2×#88183C22semidirect
102. C2×C4×C22⋊D13C22semidirect
103. C2×C4×C22⋊D13C22semidirect
104. C2×C4×C22⋊D13C22semidirect
105. C2×C4×C22⋊D13C22semidirect
106. C2×C4×C22⋊D13C22semidirect
107. C2×C4×C22⋊D13C22semidirect
108. C2×C4×C22⋊D13C22semidirect
109. C2×C4×C22⋊D13C22semidirect
110. C2×C4×C22⋊D13C22semidirect
111. C22×#6103C22semidirect
112. C22×#6103C22semidirect
113. C22×#6103C22semidirect
114. C22×#6103C22semidirect
115. C2×#88178C22semidirect
116. C22×#6101C22semidirect
117. C22×#6101C22semidirect
118. C22×#6101C22semidirect
119. C22×#6101C22semidirect
120. C22×C4×Dic13C22semidirect
121. #11719361C22semidirect
122. D13×#123C22semidirect
123. #11719354C22semidirect
124. #11719354C22semidirect
125. #11719345C22semidirect
126. #11719343C22semidirect
127. #11719342C22semidirect
128. #11719341C22semidirect
129. #11719320C22semidirect
130. #11719318C22semidirect
131. #11719315C22semidirect
132. #11719306C22semidirect
133. #11719296C22semidirect
134. #11719296C22semidirect
135. #11719295C22semidirect
136. #11719292C22semidirect
137. #11719269C22semidirect
138. #11719265C22semidirect
139. #11719264C22semidirect
140. #11719263C22semidirect
141. #11719261C22semidirect
142. #11719251C22semidirect
143. #11719250C22semidirect
144. #11719245C22semidirect
145. #11719236C22semidirect
146. #11719232C22semidirect
147. C2×#88152C22semidirect
148. C2×#88152C22semidirect
149. C2×#88152C22semidirect
150. C2×#88152C22semidirect
151. C2×#88150C22semidirect
152. C2×#88150C22semidirect
153. C2×#88150C22semidirect
154. C2×#88150C22semidirect
155. C2×#88148C22semidirect
156. C2×#88148C22semidirect
157. C2×#88148C22semidirect
158. C2×#88148C22semidirect
159. C2×#88147C22semidirect
160. C2×#88147C22semidirect
161. C2×#88146C22semidirect
162. C2×#88146C22semidirect
163. C2×C4⋊C4×D13C22semidirect
164. C2×C4⋊C4×D13C22semidirect
165. C2×#88143C22semidirect
166. C2×#88143C22semidirect
167. C2×#88143C22semidirect
168. C2×#88143C22semidirect
169. C2×#88141C22semidirect
170. C2×#88141C22semidirect
172. C2×#88140C22semidirect
173. C2×#88139C22semidirect
174. C2×#88139C22semidirect
175. C2×#88139C22semidirect
176. C2×#88139C22semidirect
179. C2×#88138C22semidirect
180. C2×#88138C22semidirect
181. C2×#88137C22semidirect
182. C2×#88137C22semidirect
183. C2×#88137C22semidirect
184. C2×#88137C22semidirect
190. C2×#88135C22semidirect
191. C2×#88135C22semidirect
192. C2×#88135C22semidirect
193. C2×#88135C22semidirect
194. C2×#88135C22semidirect
195. C2×C22⋊C4×D13C22semidirect
196. C2×C22⋊C4×D13C22semidirect
197. C2×C22⋊C4×D13C22semidirect
198. C2×C22⋊C4×D13C22semidirect
199. C2×#88133C22semidirect
200. C2×#88133C22semidirect
201. C2×#88133C22semidirect
202. C2×#88133C22semidirect
203. C2×#88132C22semidirect
204. C2×#88132C22semidirect
205. C2×#88132C22semidirect
206. C2×#88132C22semidirect
207. C2×#88131C22semidirect
208. C2×#88131C22semidirect
209. C2×#88131C22semidirect
210. C2×#88131C22semidirect
211. C2×#88130C22semidirect
212. C2×#88130C22semidirect
213. C2×#88129C22semidirect
214. C2×C4×D52C22semidirect
215. C2×#88126C22semidirect
216. C2×#88126C22semidirect
217. C2×#88124C22semidirect
218. C2×C4×Dic26C22semidirect
224. C2×C13×#41C23semidirect
242. C23×C4×C13C23semidirect
273. C2×#6129C23semidirect
292. C22×C4×D13C23semidirect
296. C13×#123C23semidirect
297. C13×#123C23semidirect
298. C13×C22⋊Q8C23semidirect
299. C13×C22⋊Q8C23semidirect
300. C13×#121C23semidirect
301. C13×#121C23semidirect
303. C13×#120C23semidirect
304. C4×D4×C13C23semidirect
305. C4×D4×C13C23semidirect
306. C4×D4×C13C23semidirect
307. C4×D4×C13C23semidirect
308. C13×#117C23semidirect
341. C2×C22⋊Dic13C23semidirect
342. C2×C22⋊Dic13C23semidirect
343. #88201C23semidirect
344. #88200C23semidirect
345. #88200C23semidirect
346. #88198C23semidirect
351. #88193C23semidirect
352. #88193C23semidirect
353. #88193C23semidirect
354. #88193C23semidirect
355. #88193C23semidirect
356. #88192C23semidirect
357. #88192C23semidirect
359. #88191C23semidirect
360. #88191C23semidirect
361. #88191C23semidirect
362. #88190C23semidirect
363. #88189C23semidirect
364. #88189C23semidirect
365. #88189C23semidirect
366. #88189C23semidirect
367. D4×Dic13C23semidirect
368. D4×Dic13C23semidirect
369. D4×Dic13C23semidirect
370. D4×Dic13C23semidirect
371. #88184C23semidirect
374. #88183C23semidirect
375. #88183C23semidirect
376. #88183C23semidirect
377. #88183C23semidirect
378. #88183C23semidirect
379. #88183C23semidirect
380. #88183C23semidirect
381. #88183C23semidirect
384. C4×C22⋊D13C23semidirect
385. C4×C22⋊D13C23semidirect
386. C4×C22⋊D13C23semidirect
387. C4×C22⋊D13C23semidirect
388. C4×C22⋊D13C23semidirect
389. C4×C22⋊D13C23semidirect
390. C4×C22⋊D13C23semidirect
391. C4×C22⋊D13C23semidirect
416. C2×#6103C23semidirect
417. C2×#6103C23semidirect
418. C2×#6103C23semidirect
419. C2×#6103C23semidirect
426. #88178C23semidirect
451. C2×#6101C23semidirect
452. C2×#6101C23semidirect
453. C2×#6101C23semidirect
454. C2×#6101C23semidirect
465. C2×C4×Dic13C23semidirect
466. #88152C23semidirect
467. #88152C23semidirect
468. #88152C23semidirect
469. #88152C23semidirect
470. #88150C23semidirect
471. #88150C23semidirect
472. #88150C23semidirect
473. #88150C23semidirect
474. #88148C23semidirect
475. #88148C23semidirect
476. #88148C23semidirect
477. #88148C23semidirect
478. #88147C23semidirect
479. #88147C23semidirect
480. #88146C23semidirect
481. #88146C23semidirect
482. C4⋊C4×D13C23semidirect
483. C4⋊C4×D13C23semidirect
484. #88143C23semidirect
485. #88143C23semidirect
486. #88143C23semidirect
487. #88143C23semidirect
488. #88141C23semidirect
489. #88141C23semidirect
491. #88140C23semidirect
492. #88139C23semidirect
493. #88139C23semidirect
494. #88139C23semidirect
495. #88139C23semidirect
498. #88138C23semidirect
499. #88138C23semidirect
500. #88137C23semidirect
501. #88137C23semidirect
502. #88137C23semidirect
503. #88137C23semidirect
509. #88135C23semidirect
510. #88135C23semidirect
511. #88135C23semidirect
512. #88135C23semidirect
513. #88135C23semidirect
514. C22⋊C4×D13C23semidirect
515. C22⋊C4×D13C23semidirect
516. C22⋊C4×D13C23semidirect
517. C22⋊C4×D13C23semidirect
518. #88133C23semidirect
519. #88133C23semidirect
520. #88133C23semidirect
521. #88133C23semidirect
522. #88132C23semidirect
523. #88132C23semidirect
524. #88132C23semidirect
525. #88132C23semidirect
526. #88131C23semidirect
527. #88131C23semidirect
528. #88131C23semidirect
529. #88131C23semidirect
530. #88130C23semidirect
531. #88130C23semidirect
532. #88129C23semidirect
533. C4×D52C23semidirect
534. #88126C23semidirect
535. #88126C23semidirect
536. #88124C23semidirect
537. C4×Dic26C23semidirect
623. C2×C22⋊D13#41semidirect
827. C2×#525D13semidirect
935. C22⋊D13C2×#41semidirect
987. C22×#41C2×D13semidirect
993. C24×C4C2×D13semidirect
1043. #525C2×D13semidirect
1070. C2×#123C2×D13semidirect
1071. C2×#123C2×D13semidirect
1083. C2×C22⋊Q8C2×D13semidirect
1084. C2×C22⋊Q8C2×D13semidirect
1100. C2×#121C2×D13semidirect
1101. C2×#121C2×D13semidirect
1109. C2×#120C2×D13semidirect
1141. C2×C4×D4C2×D13semidirect
1142. C2×C4×D4C2×D13semidirect
1143. C2×C4×D4C2×D13semidirect
1144. C2×C4×D4C2×D13semidirect
1153. C2×#117C2×D13semidirect
1246. C2×#41C22×D13semidirect
1313. C23×C4C22×D13semidirect
1362. #123C22×D13semidirect
1363. #123C22×D13semidirect
1375. C22⋊Q8C22×D13semidirect
1376. C22⋊Q8C22×D13semidirect
1392. #121C22×D13semidirect
1393. #121C22×D13semidirect
1401. #120C22×D13semidirect
1430. C4×D4C22×D13semidirect
1431. C4×D4C22×D13semidirect
1432. C4×D4C22×D13semidirect
1433. C4×D4C22×D13semidirect
1442. #117C22×D13semidirect
1561. C2×C13#3513semidirect
1831. C13C2×#3513semidirect
2059. C2#13128762direct (N × H)

Maximal subgroups

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

subgroupindex
#131287622
C2×#117192642
C2×#117193412
C2×#117192632
C2×#117192452
C2×#117193062
C2×#117192362
C2×#117192922
C2×#117192612
C2×#117193422
C2×#117192322
C2×#117195292
C2×#117193152
C2×#117195342
C2×#117192962
C2×#117192952
C2×#117193452
C2×#117193202
C2×#117193432
C2×#117192692
C2×#117192652
C2×#117193182
C2×#117193542
C2×#117193612
C22×#881832
C2×D13×#1232
C2×#117192512
C2×#117192502
C22×C4×C22⋊D132
C2×C13×#5252
C2×#351313