Finite Group Databasebeta

← C2×#13128558 #16771253

Subgroups — C2×#13128558 #16771253

Order 3328.

8006 conjugacy classes of subgroups.

The subgroup lattice has 2060 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13128558C2132yesmaximal, direct product factor
2C2×#11719321C211yesmaximal, characteristic, complemented
3C2×#11719375C211yesmaximal, characteristic, complemented
4C2×#11719245C211yesmaximal, characteristic, complemented
5C2×#11719366C211yesmaximal, characteristic, complemented
6C2×#11719306C211yesmaximal, characteristic, complemented
7C2×#11719306C211yesmaximal, characteristic, complemented
8C2×#11719292C211yesmaximal, characteristic, complemented
9C2×#11719261C211yesmaximal, characteristic, complemented
10C2×#11719342C211yesmaximal, characteristic, complemented
11C2×#11719200C211yesmaximal, characteristic, complemented
12C2×#11719529C211yesmaximal, characteristic, complemented
13C2×#11719360C211yesmaximal, characteristic, complemented
14C2×#11719511C211yesmaximal, characteristic, complemented
15C2×#11719195C211yesmaximal, characteristic, complemented
16C2×#11719296C211yesmaximal, characteristic, complemented
17C2×#11719328C211yesmaximal, characteristic, complemented
18C2×#11719367C211yesmaximal, characteristic, complemented
19C2×#11719374C211yesmaximal, characteristic, complemented
20C2×#11719320C211yesmaximal, characteristic, complemented
21C2×#11719320C211yesmaximal, characteristic, complemented
22C2×#11719297C211yesmaximal, characteristic, complemented
23C2×#11719537C211yesmaximal, characteristic, complemented
24C2×#11719301C211yesmaximal, characteristic, complemented
25C2×#11719243C211yesmaximal, characteristic, complemented
26C2×#11719354C211yesmaximal, characteristic, complemented
27C2×#11719291C211yesmaximal, characteristic, complemented
28C22×#88193C211yesmaximal, characteristic, complemented
29C2×#11719251C211yesmaximal, characteristic, complemented
30C2×#11719191C211yesmaximal, characteristic, complemented
31C22×#88131C211yesmaximal, characteristic, complemented
32C2×C13×#546C211yesmaximal, characteristic, complemented
33C22×C13×#41C2211yescharacteristic, complemented
34C23×D4×C13C2211yescharacteristic
35C23×C22⋊D13C2211yescharacteristic
36C23×C22⋊D13C2211yescharacteristic
37C24×Dic13C2211yescharacteristic
38C22×#6129C2211yescharacteristic
39C22×#6129C2211yescharacteristic, complemented
40C22×#6129C2211yescharacteristic, complemented
41C22×#6127C2211yescharacteristic, complemented
42C13×#546C22116yescomplemented
43C2×C13×#124C2211yescharacteristic, complemented
44C2×C13×#123C2211yescharacteristic, complemented
45C2×C13×#123C2211yescharacteristic, complemented
46C2×C13×C22⋊Q8C2211yescharacteristic
47C2×C13×#121C2211yescharacteristic, complemented
48C2×C13×#121C2211yescharacteristic, complemented
49C2×C13×#121C2211yescharacteristic, complemented
50C2×C13×#120C2211yescharacteristic
51C2×C13×#120C2211yescharacteristic
52C2×C4×D4×C13C2211yescharacteristic
53C2×C4×D4×C13C2211yescharacteristic, complemented
54C22×C13×C22⋊C4C2211yescharacteristic
55C22×C13×C22⋊C4C2211yescharacteristic
56C2×#88207C2211yescharacteristic
57C2×#88207C2211yescharacteristic
58C22×C22⋊Dic13C2211yescharacteristic
59C22×C22⋊Dic13C2211yescharacteristic
60C22×C22⋊Dic13C2211yescharacteristic
61#11719537C22116yescomplemented
62#11719529C22116yescomplemented
63C2×#88201C2211yescharacteristic, complemented
64C2×#88200C2211yescharacteristic, complemented
65C2×#88198C2211yescharacteristic, complemented
66C2×#88198C2211yescharacteristic, complemented
67#11719511C22116yescomplemented
68C2×#88194C2211yescharacteristic, complemented
69C2×#88194C2211yescharacteristic, complemented
70C2×#88193C2211yescharacteristic
71C2×#88193C2211yescharacteristic
72C2×#88193C2211yescharacteristic
73C2×#88193C2211yescharacteristic
74C2×#88193C2211yescharacteristic
75C2×#88193C2211yescharacteristic
76C2×#88193C2211yescharacteristic
77C2×#88193C2211yescharacteristic
78C2×#88193C22116yescomplemented
79C2×#88193C2211yescharacteristic, complemented
80C2×#88193C2211yescharacteristic, complemented
81C2×#88193C2211yescharacteristic, complemented
82C2×#88193C2211yescharacteristic, complemented
83C2×#88193C2211yescharacteristic, complemented
84C2×#88193C2211yescharacteristic, complemented
85C2×#88193C2211yescharacteristic, complemented
86C2×#88193C2211yescharacteristic, complemented
87C2×#88192C2211yescharacteristic, complemented
88C2×#88192C2211yescharacteristic, complemented
89C2×#88191C2211yescharacteristic
90C2×#88190C2211yescharacteristic, complemented
91C2×#88190C2211yescharacteristic, complemented
92C2×#88189C2211yescharacteristic
93C2×#88189C2211yescharacteristic, complemented
94C2×#88189C2211yescharacteristic, complemented
95C2×#88189C2211yescharacteristic, complemented
96C2×#88189C2211yescharacteristic, complemented
97C2×D4×Dic13C2211yescharacteristic
98C2×D4×Dic13C2211yescharacteristic, complemented
99C2×D4×Dic13C2211yescharacteristic, complemented
100C2×D4×Dic13C2211yescharacteristic, complemented
101C2×D4×Dic13C2211yescharacteristic, complemented
102C2×#88184C2211yescharacteristic, complemented
103C2×#88183C2211yescharacteristic, complemented
104C2×#88183C2211yescharacteristic, complemented
105C2×#88183C2211yescharacteristic, complemented
106C2×C4×C22⋊D13C2211yescharacteristic
107C2×C4×C22⋊D13C2211yescharacteristic, complemented
108C2×C4×C22⋊D13C2211yescharacteristic, complemented
109C2×C4×C22⋊D13C2211yescharacteristic, complemented
110C2×C4×C22⋊D13C2211yescharacteristic, complemented
111C2×C4×C22⋊D13C2211yescharacteristic, complemented
112C2×C4×C22⋊D13C2211yescharacteristic, complemented
113C2×C4×C22⋊D13C2211yescharacteristic, complemented
114C2×C4×C22⋊D13C2211yescharacteristic, complemented
115C22×#6103C2211yescharacteristic
116C2×#88180C2211yescharacteristic, complemented
117C2×#88178C2211yescharacteristic
118C2×#88178C2211yescharacteristic, complemented
119C22×#6101C2211yescharacteristic
120C22×#6101C2211yescharacteristic, complemented
121C22×#6101C2211yescharacteristic, complemented
122C22×#6101C2211yescharacteristic, complemented
123C22×C4×Dic13C2211yescharacteristic, complemented
124C22×C4×Dic13C2211yescharacteristic, complemented
125#11719375C22116yescomplemented
126#11719374C22116yescomplemented
127#11719367C22116yescomplemented
128#11719366C22116yescomplemented
129#11719360C22116yescomplemented
130#11719354C22116yescomplemented
131#11719342C22116yescomplemented
132#11719328C22116yescomplemented
133#11719321C22116yescomplemented
134#11719320C22116yescomplemented
135#11719320C22116yescomplemented
136#11719306C22116yescomplemented
137#11719306C22116yescomplemented
138#11719301C22116yescomplemented
139#11719297C22116yescomplemented
140#11719296C22116yescomplemented
141#11719292C22116yescomplemented
142#11719291C22116yescomplemented
143#11719261C22116yescomplemented
144#11719251C22116yescomplemented
145#11719245C22116yescomplemented
146#11719243C22116yescomplemented
147C2×#88152C2211yescharacteristic, complemented
148C2×#88152C2211yescharacteristic, complemented
149C2×#88152C2211yescharacteristic, complemented
150C2×#88150C2211yescharacteristic, complemented
151C2×#88148C2211yescharacteristic, complemented
152C2×#88148C2211yescharacteristic, complemented
153C2×#88147C2211yescharacteristic, complemented
154C2×#88146C2211yescharacteristic, complemented
155C2×C4⋊C4×D13C2211yescharacteristic, complemented
156C2×#88143C2211yescharacteristic, complemented
157C2×#88143C2211yescharacteristic, complemented
158C2×#88143C2211yescharacteristic, complemented
159C2×#88143C2211yescharacteristic, complemented
160C2×#88142C2211yescharacteristic, complemented
161C2×#88142C2211yescharacteristic, complemented
162C2×#88141C2211yescharacteristic, complemented
163#11719200C22116yescomplemented
164C2×#88140C2211yescharacteristic
165C2×#88140C2211yescharacteristic, complemented
166C2×#88139C2211yescharacteristic, complemented
167C2×#88139C2211yescharacteristic, complemented
168C2×#88139C2211yescharacteristic, complemented
169C2×#88139C2211yescharacteristic, complemented
170C2×#88139C2211yescharacteristic, complemented
171C2×#88139C2211yescharacteristic, complemented
172#11719195C22116yescomplemented
173C2×#88138C2211yescharacteristic, complemented
174C2×#88138C2211yescharacteristic, complemented
175C2×#88138C2211yescharacteristic, complemented
176C2×#88138C2211yescharacteristic, complemented
177C2×#88137C2211yescharacteristic, complemented
178C2×#88137C2211yescharacteristic, complemented
179C2×#88137C2211yescharacteristic, complemented
180C2×#88137C2211yescharacteristic, complemented
181C2×#88136C2211yescharacteristic
182#11719191C22116yescomplemented
183C2×#88135C2211yescharacteristic
184C2×#88135C2211yescharacteristic, complemented
185C2×#88135C2211yescharacteristic, complemented
186C2×#88135C2211yescharacteristic, complemented
187C2×#88135C2211yescharacteristic, complemented
188C2×#88135C2211yescharacteristic, complemented
189C2×#88135C2211yescharacteristic, complemented
190C2×#88135C2211yescharacteristic, complemented
191C2×#88135C2211yescharacteristic, complemented
192C2×C22⋊C4×D13C2211yescharacteristic
193C2×C22⋊C4×D13C2211yescharacteristic
194C2×#88133C2211yescharacteristic, complemented
195C2×#88133C2211yescharacteristic, complemented
196C2×#88133C2211yescharacteristic, complemented
197C2×#88133C2211yescharacteristic, complemented
198C2×#88132C2211yescharacteristic
199C2×#88132C2211yescharacteristic
200C2×#88132C2211yescharacteristic, complemented
201C2×#88132C2211yescharacteristic, complemented
202C2×#88132C2211yescharacteristic, complemented
203C2×#88131C2211yescharacteristic
204C2×#88131C2211yescharacteristic
205C2×#88131C2211yescharacteristic
206C2×#88131C2211yescharacteristic
207C2×#88131C2211yescharacteristic
208C2×#88131C22116yescomplemented
209C2×#88131C2211yescharacteristic, complemented
210C2×#88131C2211yescharacteristic, complemented
211C2×#88131C2211yescharacteristic, complemented
212C2×#88131C2211yescharacteristic, complemented
213C2×#88131C2211yescharacteristic, complemented
214C2×#88131C2211yescharacteristic, complemented
215C2×#88130C2211yescharacteristic, complemented
216C2×#88126C2211yescharacteristic, complemented
217C2×#88126C2211yescharacteristic, complemented
218C2×C4×Dic26C2211yescharacteristic, complemented
219C25×C13C2311yescharacteristic
220C25×C13C2311yescharacteristic
221C24×D13C2311yescharacteristic
222C2×C13×#41—44no—
223C2×C13×#41C2318yescomplemented
224C22×Q8×C13C2311yescharacteristic
225C22×D4×C13—44no—
226C22×D4×C13C2311yescharacteristic
227C22×D4×C13C2311yescharacteristic
228C22×D4×C13C2311yescharacteristic
229C22×D4×C13C2311yescharacteristic
230C22×D4×C13C2311yescharacteristic
231C22×D4×C13C2311yescharacteristic
232C22×D4×C13C2311yescharacteristic
233C22×D4×C13C2311yescharacteristic
234C22×D4×C13C2311yescharacteristic
235C22×D4×C13C2318yes—
236C23×C4×C13C2311yescharacteristic
237C23×C4×C13C2311yescharacteristic
238C23×C4×C13C2311yescharacteristic
239C23×C4×C13C2311yescharacteristic
240C23×C4×C13C2311yescharacteristic
241C23×C4×C13C2311yescharacteristic
242C22×C22⋊D13—28no—
243C22×C22⋊D13—44no—
244C22×C22⋊D13C2311yescharacteristic
245C22×C22⋊D13C2311yescharacteristic
246C22×C22⋊D13C2311yescharacteristic
247C22×C22⋊D13C2311yescharacteristic
248C22×C22⋊D13C2311yescharacteristic
249C22×C22⋊D13C2311yescharacteristic
250C22×C22⋊D13C2318yes—
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
260C22×C22⋊D13C2318yes—
261C22×C22⋊D13C2311yescharacteristic
262C23×Dic13—28no—
263C23×Dic13C2311yescharacteristic
264C23×Dic13C2311yescharacteristic
265C23×Dic13C2311yescharacteristic
266C23×Dic13C2318yes—
267C23×Dic13C2311yescharacteristic
268C23×Dic13C2311yescharacteristic
269C23×Dic13C2311yescharacteristic
270C23×Dic13C2311yescharacteristic
271C23×Dic13C2311yescharacteristic
272C23×Dic13C2311yescharacteristic
273C23×Dic13C2311yescharacteristic
274C23×Dic13C2311yescharacteristic
275C23×Dic13C2311yescharacteristic
276C23×Dic13C2311yescharacteristic
277C2×#6129—28no—
278C2×#6129—44no—
279C2×#6129—44no—
280C2×#6129C2318yes—
281C2×#6129C2318yescomplemented
282C2×#6129C2318yescomplemented
283C2×#6127—44no—
284C2×#6127C2318yescomplemented
285C22×D52C2311yescharacteristic
286C22×D52C2311yescharacteristic
287C22×C4×D13C2311yescharacteristic
288C22×C4×D13C2311yescharacteristic
289C22×C4×D13C2311yescharacteristic
290C22×C4×D13C2311yescharacteristic
291C22×C4×D13C2311yescharacteristic
292C22×C4×D13C2311yescharacteristic
293C22×C4×D13C2311yescharacteristic
294C22×Dic26C2311yescharacteristic
295C22×Dic26C2311yescharacteristic
296C22×Dic26C2311yescharacteristic
297C22×Dic26C2311yescharacteristic
298C13×#124C2318yescomplemented
299C13×#123C2318yescomplemented
300C13×#123C2318yescomplemented
301C13×C22⋊Q8C2318yes—
302C13×#121C2318yescomplemented
303C13×#121C2318yescomplemented
304C13×#121C2318yescomplemented
305C13×#120C2318yes—
306C13×#120C2318yes—
307C4×D4×C13C2318yes—
308C4×D4×C13C2318yescomplemented
309C2×C13×C4⋊C4C2311yescharacteristic
310C2×C13×C4⋊C4C2311yescharacteristic
311C2×C13×C4⋊C4C2311yescharacteristic
312C2×C13×C4⋊C4C2311yescharacteristic
313C2×C13×C22⋊C4C2311yescharacteristic
314C2×C13×C22⋊C4C2311yescharacteristic
315C2×C13×C22⋊C4C2311yescharacteristic
316C2×C13×C22⋊C4C2311yescharacteristic
317C2×C13×C22⋊C4C2311yescharacteristic
318C2×C13×C22⋊C4C2318yes—
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⋊C4C2318yes—
327C2×C42×C13C2311yescharacteristic
328#88207C2318yes—
329#88207C2318yes—
330C2×C22⋊Dic13C2311yescharacteristic
331C2×C22⋊Dic13C2311yescharacteristic
332C2×C22⋊Dic13C2311yescharacteristic
333C2×C22⋊Dic13C2311yescharacteristic
334C2×C22⋊Dic13C2311yescharacteristic
335C2×C22⋊Dic13C2318yes—
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⋊Dic13C2318yes—
347C2×C22⋊Dic13C2311yescharacteristic
348C2×C22⋊Dic13C2311yescharacteristic
349C2×C22⋊Dic13C2311yescharacteristic
350C2×C22⋊Dic13C2318yes—
351#88201C2318yescomplemented
352#88200C2318yescomplemented
353#88198C2318yescomplemented
354#88198C2318yescomplemented
355#88194C2318yescomplemented
356#88194C2318yescomplemented
357#88193C2318yes—
358#88193C2318yes—
359#88193C2318yes—
360#88193C2318yes—
361#88193C2318yes—
362#88193C2318yes—
363#88193C2318yes—
364#88193C2318yes—
365#88193C2318yescomplemented
366#88193C2318yescomplemented
367#88193C2318yescomplemented
368#88193C2318yescomplemented
369#88193C2318yescomplemented
370#88193C2318yescomplemented
371#88193C2318yescomplemented
372#88193C2318yescomplemented
373#88192C2318yescomplemented
374#88192C2318yescomplemented
375#88191C2318yes—
376#88190C2318yescomplemented
377#88190C2318yescomplemented
378#88189C2318yes—
379#88189C2318yescomplemented
380#88189C2318yescomplemented
381#88189C2318yescomplemented
382#88189C2318yescomplemented
383D4×Dic13C2318yes—
384D4×Dic13C2318yescomplemented
385D4×Dic13C2318yescomplemented
386D4×Dic13C2318yescomplemented
387D4×Dic13C2318yescomplemented
388#88184C2318yescomplemented
389#88183C2318yescomplemented
390#88183C2318yescomplemented
391#88183C2318yescomplemented
392C4×C22⋊D13C2318yes—
393C4×C22⋊D13C2318yescomplemented
394C4×C22⋊D13C2318yescomplemented
395C4×C22⋊D13C2318yescomplemented
396C4×C22⋊D13C2318yescomplemented
397C4×C22⋊D13C2318yescomplemented
398C4×C22⋊D13C2318yescomplemented
399C4×C22⋊D13C2318yescomplemented
400C4×C22⋊D13C2318yescomplemented
401C2×#6103C2311yescharacteristic
402C2×#6103C2311yescharacteristic
403C2×#6103C2311yescharacteristic
404C2×#6103C2311yescharacteristic
405C2×#6103C2311yescharacteristic
406C2×#6103C2311yescharacteristic
407C2×#6103C2311yescharacteristic
408C2×#6103C2311yescharacteristic
409C2×#6103C2311yescharacteristic
410C2×#6103C2311yescharacteristic
411C2×#6103C2311yescharacteristic
412C2×#6103C2311yescharacteristic
413C2×#6103C2311yescharacteristic
414C2×#6103C2311yescharacteristic
415C2×#6103C2311yescharacteristic
416C2×#6103C2311yescharacteristic
417C2×#6103C2318yes—
418#88180C2318yescomplemented
419C2×C4⋊Dic13C2311yescharacteristic
420C2×C4⋊Dic13C2311yescharacteristic
421C2×C4⋊Dic13C2311yescharacteristic
422C2×C4⋊Dic13C2311yescharacteristic
423C2×C4⋊Dic13C2311yescharacteristic
424C2×C4⋊Dic13C2311yescharacteristic
425#88178C2318yes—
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×#6101C2318yes—
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×Dic13C2311yescharacteristic
466C2×C4×Dic13C2311yescharacteristic
467C2×C4×Dic13C2311yescharacteristic
468C2×C4×Dic13C2318yescomplemented
469C2×C4×Dic13C2318yescomplemented
470#88152C2318yescomplemented
471#88152C2318yescomplemented
472#88152C2318yescomplemented
473#88150C2318yescomplemented
474#88148C2318yescomplemented
475#88148C2318yescomplemented
476#88147C2318yescomplemented
477#88146C2318yescomplemented
478C4⋊C4×D13C2318yescomplemented
479#88143C2318yescomplemented
480#88143C2318yescomplemented
481#88143C2318yescomplemented
482#88143C2318yescomplemented
483#88142C2318yescomplemented
484#88142C2318yescomplemented
485#88141C2318yescomplemented
486#88140C2318yes—
487#88140C2318yescomplemented
488#88139C2318yescomplemented
489#88139C2318yescomplemented
490#88139C2318yescomplemented
491#88139C2318yescomplemented
492#88139C2318yescomplemented
493#88139C2318yescomplemented
494#88138C2318yescomplemented
495#88138C2318yescomplemented
496#88138C2318yescomplemented
497#88138C2318yescomplemented
498#88137C2318yescomplemented
499#88137C2318yescomplemented
500#88137C2318yescomplemented
501#88137C2318yescomplemented
502#88136C2318yes—
503#88135C2318yes—
504#88135C2318yescomplemented
505#88135C2318yescomplemented
506#88135C2318yescomplemented
507#88135C2318yescomplemented
508#88135C2318yescomplemented
509#88135C2318yescomplemented
510#88135C2318yescomplemented
511#88135C2318yescomplemented
512C22⋊C4×D13C2318yes—
513C22⋊C4×D13C2318yes—
514#88133C2318yescomplemented
515#88133C2318yescomplemented
516#88133C2318yescomplemented
517#88133C2318yescomplemented
518#88132C2318yes—
519#88132C2318yes—
520#88132C2318yescomplemented
521#88132C2318yescomplemented
522#88132C2318yescomplemented
523#88131C2318yes—
524#88131C2318yes—
525#88131C2318yes—
526#88131C2318yes—
527#88131C2318yes—
528#88131C2318yescomplemented
529#88131C2318yescomplemented
530#88131C2318yescomplemented
531#88131C2318yescomplemented
532#88131C2318yescomplemented
533#88131C2318yescomplemented
534#88130C2318yescomplemented
535#88126C2318yescomplemented
536#88126C2318yescomplemented
537C4×Dic26C2318yescomplemented
538C2×#3494—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×C13C2411yescharacteristic
549C24×C13C2414yes—
550C24×C13C2411yescharacteristic
551C24×C13C2411yescharacteristic
552C24×C13C2414yes—
553C23×D13—24no—
554C23×D13—42no—
555C23×D13—42no—
556C23×D13C2411yescharacteristic
557C23×D13C2411yescharacteristic
558C23×D13C2411yescharacteristic
559C23×D13C2414yes—
560C13×#41—416no—
561C2×Q8×C13—42no—
562C2×Q8×C13C2414yes—
563C2×D4×C13—24no—
564C2×D4×C13—24no—
565C2×D4×C13—24no—
566C2×D4×C13—24no—
567C2×D4×C13—42no—
568C2×D4×C13—42no—
569C2×D4×C13—42no—
570C2×D4×C13—42no—
571C2×D4×C13—42no—
572C2×D4×C13—416no—
573C2×D4×C13C2414yes—
574C2×D4×C13C2414yes—
575C2×D4×C13C2414yes—
576C2×D4×C13C2414yes—
577C2×D4×C13C2414yes—
578C2×D4×C13C2414yes—
579C2×D4×C13C2414yes—
580C2×D4×C13C2414yes—
581C2×D4×C13C2414yes—
582C22×C4×C13—24no—
583C22×C4×C13—42no—
584C22×C4×C13—42no—
585C22×C4×C13—42no—
586C22×C4×C13—42no—
587C22×C4×C13—42no—
588C22×C4×C13C2411yescharacteristic
589C22×C4×C13C2411yescharacteristic
590C22×C4×C13C2411yescharacteristic
591C22×C4×C13C2411yescharacteristic
592C22×C4×C13C2411yescharacteristic
593C22×C4×C13C2411yescharacteristic
594C22×C4×C13C2411yescharacteristic
595C22×C4×C13C2411yescharacteristic
596C22×C4×C13C2414yes—
597C22×C4×C13C2411yescharacteristic
598C22×C4×C13C2414yes—
599C22×C4×C13C2414yes—
600C22×C4×C13C2414yes—
601C22×C4×C13C2414yes—
602C22×C4×C13C2414yes—
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—24no—
610C2×C22⋊D13—24no—
611C2×C22⋊D13—24no—
612C2×C22⋊D13—232no—
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—42no—
620C2×C22⋊D13—416no—
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—
636C2×C22⋊D13C2414yes—
637C22×Dic13—24no—
638C22×Dic13—24no—
639C22×Dic13—24no—
640C22×Dic13—24no—
641C22×Dic13—24no—
642C22×Dic13—24no—
643C22×Dic13—24no—
644C22×Dic13—232no—
645C22×Dic13—42no—
646C22×Dic13—42no—
647C22×Dic13—42no—
648C22×Dic13—42no—
649C22×Dic13—42no—
650C22×Dic13#4118yescomplemented
651C22×Dic13C2414yes—
652C22×Dic13C2414yes—
653C22×Dic13C2414yes—
654C22×Dic13C2414yes—
655C22×Dic13C2414yes—
656C22×Dic13C2414yes—
657C22×Dic13C2414yes—
658C22×Dic13C2411yescharacteristic
659C22×Dic13C2411yescharacteristic
660C22×Dic13C2411yescharacteristic
661C22×Dic13C2411yescharacteristic
662C22×Dic13C2411yescharacteristic
663C22×Dic13C2411yescharacteristic
664C22×Dic13C2411yescharacteristic
665C22×Dic13C2411yescharacteristic
666C22×Dic13C2411yescharacteristic
667C22×Dic13C2411yescharacteristic
668C22×Dic13C2411yescharacteristic
669C22×Dic13C2414yes—
670C22×Dic13C2414yes—
671C22×Dic13C2414yes—
672C22×Dic13C2414yes—
673C22×Dic13C2414yes—
674C22×Dic13C2411yescharacteristic
675C22×Dic13C2411yescharacteristic
676C22×Dic13C2414yes—
677#6129—232no—
678#6129—416no—
679#6129—416no—
680#6127—416no—
681C2×D52—42no—
682C2×D52—42no—
683C2×D52C2414yes—
684C2×D52C2414yes—
685C2×C4×D13—24no—
686C2×C4×D13—42no—
687C2×C4×D13—42no—
688C2×C4×D13—42no—
689C2×C4×D13—42no—
690C2×C4×D13—42no—
691C2×C4×D13—42no—
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×Dic26—42no—
703C2×Dic26C2414yes—
704C2×Dic26C2414yes—
705C2×Dic26C2414yes—
706C2×Dic26C2414yes—
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—
721C13×C22⋊C4C2414yes—
722C13×C22⋊C4C2414yes—
723C42×C13C2414yes—
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—
737C22⋊Dic13C2414yes—
738C22⋊Dic13C2414yes—
739C22⋊Dic13C2414yes—
740C22⋊Dic13C2414yes—
741C22⋊Dic13C2414yes—
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—
758C4⋊Dic13C2414yes—
759C4⋊Dic13C2414yes—
760C4⋊Dic13C2414yes—
761C4⋊Dic13C2414yes—
762C4⋊Dic13C2414yes—
763C4⋊Dic13C2414yes—
764#6101C2414yes—
765#6101C2414yes—
766#6101C2414yes—
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—
788C4×Dic13C2414yes—
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#3494—1332no—
802C2×#555—131no—
803C2×#555—131no—
804C2×#553—131no—
805C2×#553—131no—
806C2×#553—131no—
807C2×#553—131no—
808C2×#551—131no—
809C2×#551—131no—
810C2×#551—131no—
811C2×#551—131no—
812C2×#547—131no—
813C2×#547—131no—
814C2×#546—131no—
815C2×#546—131no—
816C2×#546—131no—
817C2×#546D1311yescharacteristic, complemented
818C2×#544—131no—
819C2×#542—131no—
820C2×#542—131no—
821C2×#540—131no—
822C2×#540—131no—
823C2×#535—131no—
824C2×#532—131no—
825C2×#532—131no—
826C2×#529—131no—
827C2×#529—131no—
828C2×#525—131no—
829C22×#121—131no—
830C2×#520—131no—
831C2×#518—131no—
832C22×#117—131no—
833C23×C13—22no—
834C23×C13—22no—
835C23×C13—22no—
836C23×C13—22no—
837C23×C13—28no—
838C23×C13—22no—
839C23×C13—22no—
840C23×C13—22no—
841C23×C13—22no—
842C23×C13—22no—
843C23×C13—22no—
844C23×C13—28no—
845C23×C13—22no—
846C23×C13—22no—
847C23×C13—22no—
848C23×C13—22no—
849C23×C13—22no—
850C23×C13—22no—
851C23×C13—28no—
852C23×C13—44no—
853C23×C13—44no—
854C23×C13—44no—
855C23×C13—416no—
856C23×C13—88no—
857C23×C13C2×#4114yes—
858C23×C13H(5,𝔽2)14yes—
859C23×C13C2512yes—
860C23×C13C2512yes—
861C23×C13C2512yes—
862C23×C13C2512yes—
863C23×C13C2512yes—
864C23×C13C2512yes—
865C23×C13C2511yescharacteristic
866C22×D13—22no—
867C22×D13—22no—
868C22×D13—22no—
869C22×D13—22no—
870C22×D13—22no—
871C22×D13—22no—
872C22×D13—22no—
873C22×D13—22no—
874C22×D13—22no—
875C22×D13—28no—
876C22×D13—44no—
877C22×D13—44no—
878C22×D13—88no—
879C22×D13C2512yes—
880C22×D13C2512yes—
881C22×D13C2512yes—
882Q8×C13—44no—
883D4×C13—28no—
884D4×C13—28no—
885D4×C13—28no—
886D4×C13—28no—
887D4×C13—44no—
888D4×C13—44no—
889D4×C13—44no—
890D4×C13—44no—
891D4×C13—44no—
892C2×C4×C13—22no—
893C2×C4×C13—22no—
894C2×C4×C13—22no—
895C2×C4×C13—22no—
896C2×C4×C13—22no—
897C2×C4×C13—28no—
898C2×C4×C13—22no—
899C2×C4×C13—22no—
900C2×C4×C13—22no—
901C2×C4×C13—22no—
902C2×C4×C13—44no—
903C2×C4×C13—44no—
904C2×C4×C13—44no—
905C2×C4×C13—44no—
906C2×C4×C13—44no—
907C2×C4×C13C2512yes—
908C2×C4×C13C2512yes—
909C2×C4×C13C2512yes—
910C2×C4×C13C2512yes—
911C2×C4×C13C2512yes—
912C2×C4×C13C2512yes—
913C2×C4×C13C2512yes—
914C2×C4×C13C2512yes—
915C2×C4×C13C2512yes—
916C22⋊D13—28no—
917C22⋊D13—28no—
918C22⋊D13—28no—
919C22⋊D13—28no—
920C22⋊D13—28no—
921C22⋊D13—28no—
922C22⋊D13—28no—
923C22⋊D13—28no—
924C22⋊D13—28no—
925C22⋊D13—44no—
926C22⋊D13—44no—
927C22⋊D13—44no—
928C22⋊D13—44no—
929C22⋊D13—44no—
930C22⋊D13—44no—
931C22⋊D13—44no—
932C2×Dic13—22no—
933C2×Dic13—28no—
934C2×Dic13—22no—
935C2×Dic13—22no—
936C2×Dic13—22no—
937C2×Dic13—22no—
938C2×Dic13—22no—
939C2×Dic13—22no—
940C2×Dic13—22no—
941C2×Dic13—28no—
942C2×Dic13—22no—
943C2×Dic13—22no—
944C2×Dic13—22no—
945C2×Dic13—28no—
946C2×Dic13—28no—
947C2×Dic13—28no—
948C2×Dic13—28no—
949C2×Dic13—28no—
950C2×Dic13—44no—
951C2×Dic13—44no—
952C2×Dic13—44no—
953C2×Dic13—44no—
954C2×Dic13—44no—
955C2×Dic13C2×#4114yes—
956C2×Dic13C2×#4114yes—
957C2×Dic13C2×#41116yescomplemented
958C2×Dic13C2512yes—
959C2×Dic13C2512yes—
960C2×Dic13C2512yes—
961C2×Dic13C2512yes—
962C2×Dic13C2512yes—
963C2×Dic13C2512yes—
964C2×Dic13C2512yes—
965C2×Dic13C2512yes—
966C2×Dic13C2512yes—
967C2×Dic13C2512yes—
968C2×Dic13C2512yes—
969C2×Dic13C2512yes—
970C2×Dic13C2512yes—
971D52—44no—
972D52—44no—
973C4×D13—28no—
974C4×D13—44no—
975C4×D13—44no—
976C4×D13—44no—
977C4×D13—44no—
978C4×D13—44no—
979C4×D13—44no—
980Dic26—28no—
981Dic26—44no—
982Dic26—44no—
983Dic26—44no—
984C22×#41—131no—
985C22×#41—131no—
986C22×#41—131no—
987C22×#41—131no—
988C22×#41C2×D1311yescharacteristic, complemented
989C23×D4—131no—
990C23×D4—131no—
991C23×D4C2×D1311yescharacteristic
992C24×C4—131no—
993#555—1316no—
994#555—1316no—
995#553—1316no—
996#553—1316no—
997#553—1316no—
998#553—1316no—
999#551—1316no—
1000#551—1316no—
1001#551—1316no—
1002#551—1316no—
1003#547—1316no—
1004#547—1316no—
1005#546—1316no—
1006#546—1316no—
1007#546—1316no—
1008#546C2×D13116yescomplemented
1009#544—1316no—
1010#542—1316no—
1011#542—1316no—
1012#540—1316no—
1013#540—1316no—
1014#535—1316no—
1015#532—1316no—
1016#532—1316no—
1017C2×C4⋊Q8—131no—
1018C2×C4⋊Q8—131no—
1019C2×C4⋊Q8—131no—
1020C2×C4⋊Q8—131no—
1021C2×#127—131no—
1022C2×#127—131no—
1023#529—1316no—
1024#529—1316no—
1025C2×#126—131no—
1026C2×#126—131no—
1027C2×#126—131no—
1028C2×#126—131no—
1029C2×#126—131no—
1030C2×#126—131no—
1031C2×#126—131no—
1032C2×#126—131no—
1033C2×#125—131no—
1034C2×#125—131no—
1035C2×#125—131no—
1036C2×#125—131no—
1037C2×#124—131no—
1038C2×#124—131no—
1039C2×#124—131no—
1040C2×#124—131no—
1041C2×#124—131no—
1042C2×#124—131no—
1043C2×#124—131no—
1044C2×#124—131no—
1045C2×#124—131no—
1046C2×#124C2×D1311yescharacteristic, complemented
1047#525—1316no—
1048C2×#123—131no—
1049C2×#123—131no—
1050C2×#123—131no—
1051C2×#123—131no—
1052C2×#123—131no—
1053C2×#123—131no—
1054C2×#123—131no—
1055C2×#123—131no—
1056C2×#123—131no—
1057C2×#123—131no—
1058C2×#123—131no—
1059C2×#123—131no—
1060C2×#123—131no—
1061C2×#123—131no—
1062C2×#123—131no—
1063C2×#123—131no—
1064C2×#123C2×D1311yescharacteristic, complemented
1065C2×#123C2×D1311yescharacteristic, complemented
1066C2×C22⋊Q8—131no—
1067C2×C22⋊Q8—131no—
1068C2×C22⋊Q8—131no—
1069C2×C22⋊Q8—131no—
1070C2×C22⋊Q8—131no—
1071C2×C22⋊Q8—131no—
1072C2×C22⋊Q8—131no—
1073C2×C22⋊Q8—131no—
1074C2×C22⋊Q8—131no—
1075C2×C22⋊Q8C2×D1311yescharacteristic
1076C2×#121—131no—
1077C2×#121—131no—
1078C2×#121—131no—
1079C2×#121—131no—
1080C2×#121—131no—
1081C2×#121—131no—
1082C2×#121—131no—
1083C2×#121—131no—
1084C2×#121—131no—
1085C2×#121—131no—
1086C2×#121—1316no—
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×#121C2×D1311yescharacteristic, complemented
1103C2×#120—131no—
1104C2×#120—131no—
1105C2×#120—131no—
1106C2×#120—131no—
1107C2×#120C2×D1311yescharacteristic
1108C2×#120C2×D1311yescharacteristic
1109#520—1316no—
1110#518—1316no—
1111C2×C4×Q8—131no—
1112C2×C4×Q8—131no—
1113C2×C4×D4—131no—
1114C2×C4×D4—131no—
1115C2×C4×D4—131no—
1116C2×C4×D4—131no—
1117C2×C4×D4—131no—
1118C2×C4×D4—131no—
1119C2×C4×D4—131no—
1120C2×C4×D4—131no—
1121C2×C4×D4—131no—
1122C2×C4×D4—131no—
1123C2×C4×D4—131no—
1124C2×C4×D4—131no—
1125C2×C4×D4—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—131no—
1134C2×C4×D4—131no—
1135C2×C4×D4—131no—
1136C2×C4×D4—131no—
1137C2×C4×D4C2×D1311yescharacteristic
1138C2×C4×D4C2×D1311yescharacteristic, complemented
1139C2×#117—131no—
1140C2×#117—131no—
1141C2×#117—131no—
1142C2×#117—131no—
1143C2×#117—131no—
1144C2×#117—131no—
1145C2×#117—131no—
1146C2×#117—131no—
1147C2×#117—131no—
1148C2×#117—131no—
1149C2×#117—131no—
1150C2×#117—1316no—
1151C2×#117—131no—
1152C2×#117—131no—
1153C2×#117—131no—
1154C2×#117—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⋊C4C2×D1311yescharacteristic
1167C22×C22⋊C4C2×D1311yescharacteristic
1168C22×C42—131no—
1169C22×C42—131no—
1170C22×C13—22no—
1171C22×C13—22no—
1172C22×C13—22no—
1173C22×C13—22no—
1174C22×C13—28no—
1175C22×C13—28no—
1176C22×C13—22no—
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—22no—
1187C22×C13—22no—
1188C22×C13—416no—
1189C22×C13—44no—
1190C22×C13—44no—
1191C22×C13—44no—
1192C22×C13—44no—
1193C22×C13—88no—
1194C22×C13C22×#4114yes—
1195C22×C13C22×#4112yes—
1196C22×C13C2×H(5,𝔽2)14yes—
1197C22×C13C2×H(5,𝔽2)12yes—
1198C22×C13#58512yes—
1199C22×C13C2611yescharacteristic
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—44no—
1210C2×D13—44no—
1211C2×D13—44no—
1212C2×D13—88no—
1213C4×C13—22no—
1214C4×C13—22no—
1215C4×C13—22no—
1216C4×C13—22no—
1217C4×C13—22no—
1218C4×C13—22no—
1219C4×C13—22no—
1220C4×C13—22no—
1221C4×C13—22no—
1222Dic13—22no—
1223Dic13—22no—
1224Dic13—22no—
1225Dic13—22no—
1226Dic13—22no—
1227Dic13—22no—
1228Dic13—22no—
1229Dic13—22no—
1230Dic13—22no—
1231Dic13—22no—
1232Dic13—22no—
1233Dic13C22×#4114yes—
1234Dic13C22×#4114yes—
1235C25—131no—
1236C25C22×D1311yescharacteristic
1237C25C22×D1311yescharacteristic
1238C2×#41—44no—
1239C2×#41—138no—
1240C2×#41—138no—
1241C2×#41—138no—
1242C2×#41—138no—
1243C2×#41—268no—
1244C2×#41—524no—
1245C2×#41—524no—
1246C2×#41—524no—
1247C2×#41C22×D1318yescomplemented
1248C22×Q8—131no—
1249C22×Q8—131no—
1250C22×Q8—131no—
1251C22×Q8—131no—
1252C22×Q8C22×D1311yescharacteristic
1253C22×D4—44no—
1254C22×D4—131no—
1255C22×D4—131no—
1256C22×D4—131no—
1257C22×D4—131no—
1258C22×D4—131no—
1259C22×D4—131no—
1260C22×D4—131no—
1261C22×D4—131no—
1262C22×D4—131no—
1263C22×D4—138no—
1264C22×D4—131no—
1265C22×D4—131no—
1266C22×D4—131no—
1267C22×D4—131no—
1268C22×D4—131no—
1269C22×D4—131no—
1270C22×D4—131no—
1271C22×D4—138no—
1272C22×D4—131no—
1273C22×D4—131no—
1274C22×D4—268no—
1275C22×D4—524no—
1276C22×D4C22×D1311yescharacteristic
1277C22×D4C22×D1311yescharacteristic
1278C22×D4C22×D1311yescharacteristic
1279C22×D4C22×D1311yescharacteristic
1280C22×D4C22×D1311yescharacteristic
1281C22×D4C22×D1311yescharacteristic
1282C22×D4C22×D1311yescharacteristic
1283C22×D4C22×D1311yescharacteristic
1284C22×D4C22×D1311yescharacteristic
1285C22×D4C22×D1318yes—
1286C23×C4—131no—
1287C23×C4—131no—
1288C23×C4—131no—
1289C23×C4—131no—
1290C23×C4—131no—
1291C23×C4—131no—
1292C23×C4—131no—
1293C23×C4—138no—
1294C23×C4—131no—
1295C23×C4—131no—
1296C23×C4—131no—
1297C23×C4—131no—
1298C23×C4—131no—
1299C23×C4—131no—
1300C23×C4—131no—
1301C23×C4—131no—
1302C23×C4—131no—
1303C23×C4—131no—
1304C23×C4—131no—
1305C23×C4—131no—
1306C23×C4—131no—
1307C23×C4—268no—
1308C23×C4C22×D1311yescharacteristic
1309C23×C4C22×D1311yescharacteristic
1310C23×C4C22×D1311yescharacteristic
1311C23×C4C22×D1311yescharacteristic
1312C23×C4C22×D1311yescharacteristic
1313C23×C4C22×D1311yescharacteristic
1314C4⋊Q8—138no—
1315C4⋊Q8—138no—
1316C4⋊Q8—138no—
1317C4⋊Q8—138no—
1318#127—138no—
1319#127—138no—
1320#126—138no—
1321#126—138no—
1322#126—138no—
1323#126—138no—
1324#126—138no—
1325#126—138no—
1326#126—138no—
1327#126—138no—
1328#125—138no—
1329#125—138no—
1330#125—138no—
1331#125—138no—
1332#124—138no—
1333#124—138no—
1334#124—138no—
1335#124—138no—
1336#124—138no—
1337#124—138no—
1338#124—138no—
1339#124—138no—
1340#124—138no—
1341#124C22×D1318yescomplemented
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#123C22×D1318yescomplemented
1359#123C22×D1318yescomplemented
1360C22⋊Q8—138no—
1361C22⋊Q8—138no—
1362C22⋊Q8—138no—
1363C22⋊Q8—138no—
1364C22⋊Q8—138no—
1365C22⋊Q8—138no—
1366C22⋊Q8—138no—
1367C22⋊Q8—138no—
1368C22⋊Q8—138no—
1369C22⋊Q8C22×D1318yes—
1370#121—138no—
1371#121—138no—
1372#121—138no—
1373#121—138no—
1374#121—138no—
1375#121—138no—
1376#121—138no—
1377#121—138no—
1378#121—138no—
1379#121—138no—
1380#121—138no—
1381#121—138no—
1382#121—138no—
1383#121—138no—
1384#121—138no—
1385#121—138no—
1386#121—138no—
1387#121—138no—
1388#121—138no—
1389#121—138no—
1390#121—138no—
1391#121—138no—
1392#121—138no—
1393#121C22×D1318yescomplemented
1394#121C22×D1318yescomplemented
1395#121C22×D1318yescomplemented
1396#120—138no—
1397#120—138no—
1398#120—138no—
1399#120—138no—
1400#120C22×D1318yes—
1401#120C22×D1318yes—
1402C4×Q8—138no—
1403C4×Q8—138no—
1404C4×D4—138no—
1405C4×D4—138no—
1406C4×D4—138no—
1407C4×D4—138no—
1408C4×D4—138no—
1409C4×D4—138no—
1410C4×D4—138no—
1411C4×D4—138no—
1412C4×D4—138no—
1413C4×D4—138no—
1414C4×D4—138no—
1415C4×D4—138no—
1416C4×D4—138no—
1417C4×D4—138no—
1418C4×D4—138no—
1419C4×D4—138no—
1420C4×D4—138no—
1421C4×D4—138no—
1422C4×D4—138no—
1423C4×D4—138no—
1424C4×D4—138no—
1425C4×D4—138no—
1426C4×D4—138no—
1427C4×D4—138no—
1428C4×D4C22×D1318yes—
1429C4×D4C22×D1318yescomplemented
1430#117—138no—
1431#117—138no—
1432#117—138no—
1433#117—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—
1443#117—138no—
1444#117—138no—
1445C2×C4⋊C4—131no—
1446C2×C4⋊C4—131no—
1447C2×C4⋊C4—131no—
1448C2×C4⋊C4—131no—
1449C2×C4⋊C4—131no—
1450C2×C4⋊C4—131no—
1451C2×C4⋊C4—131no—
1452C2×C4⋊C4—131no—
1453C2×C4⋊C4—131no—
1454C2×C4⋊C4—131no—
1455C2×C4⋊C4—138no—
1456C2×C4⋊C4—138no—
1457C2×C4⋊C4—131no—
1458C2×C4⋊C4—131no—
1459C2×C4⋊C4—131no—
1460C2×C4⋊C4—131no—
1461C2×C4⋊C4—131no—
1462C2×C4⋊C4—138no—
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—131no—
1478C2×C4⋊C4—131no—
1479C2×C4⋊C4—138no—
1480C2×C4⋊C4C22×D1311yescharacteristic
1481C2×C4⋊C4C22×D1311yescharacteristic
1482C2×C4⋊C4C22×D1311yescharacteristic
1483C2×C4⋊C4C22×D1311yescharacteristic
1484C2×C22⋊C4—131no—
1485C2×C22⋊C4—131no—
1486C2×C22⋊C4—131no—
1487C2×C22⋊C4—131no—
1488C2×C22⋊C4—131no—
1489C2×C22⋊C4—138no—
1490C2×C22⋊C4—131no—
1491C2×C22⋊C4—131no—
1492C2×C22⋊C4—131no—
1493C2×C22⋊C4—131no—
1494C2×C22⋊C4—138no—
1495C2×C22⋊C4—131no—
1496C2×C22⋊C4—131no—
1497C2×C22⋊C4—138no—
1498C2×C22⋊C4—131no—
1499C2×C22⋊C4—131no—
1500C2×C22⋊C4—131no—
1501C2×C22⋊C4—131no—
1502C2×C22⋊C4—131no—
1503C2×C22⋊C4—131no—
1504C2×C22⋊C4—131no—
1505C2×C22⋊C4—131no—
1506C2×C22⋊C4—131no—
1507C2×C22⋊C4—131no—
1508C2×C22⋊C4—131no—
1509C2×C22⋊C4—131no—
1510C2×C22⋊C4—131no—
1511C2×C22⋊C4—131no—
1512C2×C22⋊C4—131no—
1513C2×C22⋊C4—138no—
1514C2×C22⋊C4—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—138no—
1523C2×C22⋊C4—138no—
1524C2×C22⋊C4C22×D1311yescharacteristic
1525C2×C22⋊C4C22×D1311yescharacteristic
1526C2×C22⋊C4C22×D1311yescharacteristic
1527C2×C22⋊C4C22×D1311yescharacteristic
1528C2×C22⋊C4C22×D1311yescharacteristic
1529C2×C22⋊C4C22×D1318yes—
1530C2×C22⋊C4C22×D1311yescharacteristic
1531C2×C22⋊C4C22×D1311yescharacteristic
1532C2×C22⋊C4C22×D1318yes—
1533C2×C22⋊C4C22×D1311yescharacteristic
1534C2×C22⋊C4C22×D1311yescharacteristic
1535C2×C22⋊C4C22×D1311yescharacteristic
1536C2×C22⋊C4C22×D1311yescharacteristic
1537C2×C22⋊C4C22×D1311yescharacteristic
1538C2×C42—131no—
1539C2×C42—131no—
1540C2×C42—131no—
1541C2×C42—131no—
1542C2×C42—131no—
1543C2×C42—131no—
1544C2×C42—131no—
1545C2×C42—131no—
1546C2×C42—131no—
1547C2×C42—131no—
1548C2×C42—131no—
1549C2×C42—138no—
1550C2×C42—138no—
1551C2×C42—131no—
1552C2×C42—131no—
1553C2×C42C22×D1311yescharacteristic
1554C2×C13—24no—
1555C2×C13—24no—
1556C2×C13—42no—
1557C2×C13—42no—
1558C2×C13—42no—
1559C2×C13—42no—
1560C2×C13#349414yescomplemented
1561C2×C13C23×#4111yescharacteristic
1562C2×C13C22×H(5,𝔽2)11yescharacteristic
1563C2×C13C2×#58511yescharacteristic
1564D13—42no—
1565D13—42no—
1566D13—42no—
1567C24—24no—
1568C24—24no—
1569C24—24no—
1570C24—42no—
1571C24—42no—
1572C24—42no—
1573C24—131no—
1574C24—131no—
1575C24—131no—
1576C24—134no—
1577C24—264no—
1578C24—522no—
1579C24—522no—
1580C24C23×D1311yescharacteristic
1581C24C23×D1311yescharacteristic
1582C24C23×D1311yescharacteristic
1583C24C23×D1311yescharacteristic
1584C24C23×D1314yes—
1585C24C23×D1311yescharacteristic
1586C24C23×D1311yescharacteristic
1587C24C23×D1314yes—
1588#41—416no—
1589#41—2632no—
1590#41—5216no—
1591#41—5216no—
1592#41—5216no—
1593C2×Q8—42no—
1594C2×Q8—134no—
1595C2×Q8—134no—
1596C2×Q8—134no—
1597C2×Q8—134no—
1598C2×Q8—264no—
1599C2×Q8—522no—
1600C2×Q8—522no—
1601C2×Q8—522no—
1602C2×Q8C23×D1314yes—
1603C2×D4—24no—
1604C2×D4—24no—
1605C2×D4—24no—
1606C2×D4—24no—
1607C2×D4—42no—
1608C2×D4—42no—
1609C2×D4—42no—
1610C2×D4—42no—
1611C2×D4—42no—
1612C2×D4—416no—
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—264no—
1635C2×D4—2632no—
1636C2×D4—264no—
1637C2×D4—264no—
1638C2×D4—264no—
1639C2×D4—264no—
1640C2×D4—264no—
1641C2×D4—522no—
1642C2×D4—522no—
1643C2×D4—522no—
1644C2×D4—522no—
1645C2×D4—522no—
1646C2×D4—522no—
1647C2×D4—522no—
1648C2×D4—522no—
1649C2×D4—522no—
1650C2×D4—5216no—
1651C2×D4C23×D1314yes—
1652C2×D4C23×D1314yes—
1653C2×D4C23×D1314yes—
1654C2×D4C23×D1314yes—
1655C2×D4C23×D1314yes—
1656C2×D4C23×D1314yes—
1657C2×D4C23×D1314yes—
1658C2×D4C23×D1314yes—
1659C2×D4C23×D1314yes—
1660C22×C4—24no—
1661C22×C4—42no—
1662C22×C4—42no—
1663C22×C4—42no—
1664C22×C4—42no—
1665C22×C4—42no—
1666C22×C4—138no—
1667C22×C4—134no—
1668C22×C4—131no—
1669C22×C4—131no—
1670C22×C4—134no—
1671C22×C4—134no—
1672C22×C4—134no—
1673C22×C4—134no—
1674C22×C4—134no—
1675C22×C4—134no—
1676C22×C4—134no—
1677C22×C4—131no—
1678C22×C4—131no—
1679C22×C4—131no—
1680C22×C4—131no—
1681C22×C4—131no—
1682C22×C4—131no—
1683C22×C4—131no—
1684C22×C4—131no—
1685C22×C4—131no—
1686C22×C4—131no—
1687C22×C4—131no—
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—134no—
1698C22×C4—134no—
1699C22×C4—134no—
1700C22×C4—264no—
1701C22×C4—264no—
1702C22×C4—264no—
1703C22×C4—264no—
1704C22×C4—264no—
1705C22×C4—2632no—
1706C22×C4—264no—
1707C22×C4—264no—
1708C22×C4—264no—
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×C4—522no—
1718C22×C4—522no—
1719C22×C4—522no—
1720C22×C4C23×D1314yes—
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×D1311yescharacteristic
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—
1769C22⋊C4—134no—
1770C22⋊C4—134no—
1771C22⋊C4—134no—
1772C22⋊C4—134no—
1773C22⋊C4—134no—
1774C22⋊C4—134no—
1775C22⋊C4—134no—
1776C22⋊C4—134no—
1777C22⋊C4—134no—
1778C22⋊C4—134no—
1779C22⋊C4—134no—
1780C22⋊C4—134no—
1781C22⋊C4—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⋊C4C23×D1314yes—
1804C22⋊C4C23×D1314yes—
1805C22⋊C4C23×D1314yes—
1806C22⋊C4C23×D1314yes—
1807C22⋊C4C23×D1314yes—
1808C22⋊C4C23×D1314yes—
1809C22⋊C4C23×D1314yes—
1810C22⋊C4C23×D1314yes—
1811C22⋊C4C23×D1314yes—
1812C22⋊C4C23×D1314yes—
1813C22⋊C4C23×D1314yes—
1814C22⋊C4C23×D1314yes—
1815C42—134no—
1816C42—134no—
1817C42—134no—
1818C42—134no—
1819C42—134no—
1820C42—134no—
1821C42—134no—
1822C42—134no—
1823C42—134no—
1824C42—134no—
1825C42—134no—
1826C42—134no—
1827C42—134no—
1828C42C23×D1314yes—
1829C13C2×#349411yescharacteristic, complemented, Sylow
1830C23—22no—
1831C23—22no—
1832C23—22no—
1833C23—22no—
1834C23—22no—
1835C23—22no—
1836C23—22no—
1837C23—28no—
1838C23—22no—
1839C23—28no—
1840C23—22no—
1841C23—22no—
1842C23—22no—
1843C23—22no—
1844C23—22no—
1845C23—22no—
1846C23—22no—
1847C23—22no—
1848C23—28no—
1849C23—44no—
1850C23—44no—
1851C23—44no—
1852C23—416no—
1853C23—88no—
1854C23—132no—
1855C23—132no—
1856C23—132no—
1857C23—262no—
1858C23—262no—
1859C23—262no—
1860C23—262no—
1861C23—262no—
1862C23—262no—
1863C23—262no—
1864C23—262no—
1865C23—262no—
1866C23—268no—
1867C23—524no—
1868C23—524no—
1869C23—1048no—
1870C23#8825114yes—
1871C23#41×D1314yes—
1872C23C24×D1312yes—
1873C23C24×D1312yes—
1874C23C24×D1312yes—
1875C23C24×D1312yes—
1876C23C24×D1312yes—
1877C23C24×D1312yes—
1878C23C24×D1311yescharacteristic
1879Q8—44no—
1880Q8—268no—
1881Q8—524no—
1882Q8—524no—
1883Q8—524no—
1884D4—28no—
1885D4—28no—
1886D4—28no—
1887D4—28no—
1888D4—44no—
1889D4—44no—
1890D4—44no—
1891D4—44no—
1892D4—44no—
1893D4—268no—
1894D4—268no—
1895D4—268no—
1896D4—268no—
1897D4—268no—
1898D4—268no—
1899D4—268no—
1900D4—268no—
1901D4—268no—
1902D4—524no—
1903D4—524no—
1904D4—524no—
1905D4—524no—
1906D4—524no—
1907D4—524no—
1908D4—524no—
1909D4—524no—
1910D4—524no—
1911C2×C4—22no—
1912C2×C4—22no—
1913C2×C4—28no—
1914C2×C4—22no—
1915C2×C4—22no—
1916C2×C4—22no—
1917C2×C4—22no—
1918C2×C4—22no—
1919C2×C4—22no—
1920C2×C4—22no—
1921C2×C4—44no—
1922C2×C4—44no—
1923C2×C4—44no—
1924C2×C4—44no—
1925C2×C4—44no—
1926C2×C4—134no—
1927C2×C4—134no—
1928C2×C4—1316no—
1929C2×C4—132no—
1930C2×C4—132no—
1931C2×C4—132no—
1932C2×C4—132no—
1933C2×C4—132no—
1934C2×C4—132no—
1935C2×C4—132no—
1936C2×C4—132no—
1937C2×C4—132no—
1938C2×C4—132no—
1939C2×C4—132no—
1940C2×C4—132no—
1941C2×C4—132no—
1942C2×C4—268no—
1943C2×C4—268no—
1944C2×C4—268no—
1945C2×C4—268no—
1946C2×C4—268no—
1947C2×C4—268no—
1948C2×C4—262no—
1949C2×C4—262no—
1950C2×C4—268no—
1951C2×C4—262no—
1952C2×C4—262no—
1953C2×C4—262no—
1954C2×C4—268no—
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×C4C24×D1312yes—
1973C2×C4C24×D1312yes—
1974C2×C4C24×D1312yes—
1975C2×C4C24×D1312yes—
1976C2×C4C24×D1312yes—
1977C2×C4C24×D1312yes—
1978C2×C4C24×D1312yes—
1979C2×C4C24×D1312yes—
1980C2×C4C24×D1312yes—
1981C22—28no—
1982C22—28no—
1983C22—22no—
1984C22—22no—
1985C22—22no—
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—44no—
2004C22—88no—
2005C22—262no—
2006C22—262no—
2007C22—262no—
2008C22—262no—
2009C22—262no—
2010C22—262no—
2011C22—262no—
2012C22—262no—
2013C22—262no—
2014C22—524no—
2015C22—524no—
2016C22—524no—
2017C22—1048no—
2018C22C2×#8825114yes—
2019C22C2×#8825112yes—
2020C22C2×#41×D1314yes—
2021C22C2×#41×D1312yes—
2022C22#1171965012yes—
2023C22C25×D1311yescharacteristic
2024C4—22no—
2025C4—22no—
2026C4—22no—
2027C4—22no—
2028C4—22no—
2029C4—22no—
2030C4—22no—
2031C4—22no—
2032C4—22no—
2033C4—134no—
2034C4—134no—
2035C4—262no—
2036C4—262no—
2037C4—262no—
2038C4—262no—
2039C4—262no—
2040C4—262no—
2041C4—262no—
2042C4—262no—
2043C4—262no—
2044C4—262no—
2045C4—262no—
2046C2—24no—
2047C2—24no—
2048C2—42no—
2049C2—42no—
2050C2—42no—
2051C2—42no—
2052C2—522no—
2053C2—522no—
2054C2—522no—
2055C2#1312855814yesdirect product factor
2056C2C22×#41×D1311yescharacteristic
2057C2C22×#8825111yescharacteristic
2058C2C2×#1171965011yescharacteristic
subgroupG/H
centerC23C24×D13
commutator, cosocleC22×C13C26
FrattiniC22C25×D13
FittingC2×C13×#546C2
socleC23×C13C25
hypercenterC2×#546D13
hypocenterC13C2×#3494
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C23 ◁ C2×#546

Complements

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

NH ≅ G/Ntype
1. #13128558C2direct (N × H)
2. C2×#11719321C2semidirect
3. C2×#11719375C2semidirect
4. C2×#11719245C2semidirect
5. C2×#11719366C2semidirect
6. C2×#11719306C2semidirect
7. C2×#11719306C2semidirect
8. C2×#11719292C2semidirect
9. C2×#11719261C2semidirect
10. C2×#11719342C2semidirect
11. C2×#11719200C2semidirect
12. C2×#11719529C2semidirect
13. C2×#11719360C2semidirect
14. C2×#11719511C2semidirect
15. C2×#11719195C2semidirect
16. C2×#11719296C2semidirect
17. C2×#11719328C2semidirect
18. C2×#11719367C2semidirect
19. C2×#11719374C2semidirect
20. C2×#11719320C2semidirect
21. C2×#11719320C2semidirect
22. C2×#11719297C2semidirect
23. C2×#11719537C2semidirect
24. C2×#11719301C2semidirect
25. C2×#11719243C2semidirect
26. C2×#11719354C2semidirect
27. C2×#11719291C2semidirect
28. C22×#88193C2semidirect
29. C2×#11719251C2semidirect
30. C2×#11719191C2semidirect
31. C22×#88131C2semidirect
32. C2×C13×#546C2semidirect
33. C22×C13×#41C22semidirect
39. C22×#6129C22semidirect
40. C22×#6129C22semidirect
41. C22×#6127C22semidirect
42. C13×#546C22semidirect
43. C2×C13×#124C22semidirect
44. C2×C13×#123C22semidirect
45. C2×C13×#123C22semidirect
47. C2×C13×#121C22semidirect
48. C2×C13×#121C22semidirect
49. C2×C13×#121C22semidirect
53. C2×C4×D4×C13C22semidirect
61. #11719537C22semidirect
62. #11719529C22semidirect
63. C2×#88201C22semidirect
64. C2×#88200C22semidirect
65. C2×#88198C22semidirect
66. C2×#88198C22semidirect
67. #11719511C22semidirect
68. C2×#88194C22semidirect
69. C2×#88194C22semidirect
78. C2×#88193C22semidirect
79. C2×#88193C22semidirect
80. C2×#88193C22semidirect
81. C2×#88193C22semidirect
82. C2×#88193C22semidirect
83. C2×#88193C22semidirect
84. C2×#88193C22semidirect
85. C2×#88193C22semidirect
86. C2×#88193C22semidirect
87. C2×#88192C22semidirect
88. C2×#88192C22semidirect
90. C2×#88190C22semidirect
91. C2×#88190C22semidirect
93. C2×#88189C22semidirect
94. C2×#88189C22semidirect
95. C2×#88189C22semidirect
96. C2×#88189C22semidirect
98. C2×D4×Dic13C22semidirect
99. C2×D4×Dic13C22semidirect
100. C2×D4×Dic13C22semidirect
101. C2×D4×Dic13C22semidirect
102. C2×#88184C22semidirect
103. C2×#88183C22semidirect
104. C2×#88183C22semidirect
105. C2×#88183C22semidirect
107. C2×C4×C22⋊D13C22semidirect
108. C2×C4×C22⋊D13C22semidirect
109. C2×C4×C22⋊D13C22semidirect
110. C2×C4×C22⋊D13C22semidirect
111. C2×C4×C22⋊D13C22semidirect
112. C2×C4×C22⋊D13C22semidirect
113. C2×C4×C22⋊D13C22semidirect
114. C2×C4×C22⋊D13C22semidirect
116. C2×#88180C22semidirect
118. C2×#88178C22semidirect
120. C22×#6101C22semidirect
121. C22×#6101C22semidirect
122. C22×#6101C22semidirect
123. C22×C4×Dic13C22semidirect
124. C22×C4×Dic13C22semidirect
125. #11719375C22semidirect
126. #11719374C22semidirect
127. #11719367C22semidirect
128. #11719366C22semidirect
129. #11719360C22semidirect
130. #11719354C22semidirect
131. #11719342C22semidirect
132. #11719328C22semidirect
133. #11719321C22semidirect
134. #11719320C22semidirect
135. #11719320C22semidirect
136. #11719306C22semidirect
137. #11719306C22semidirect
138. #11719301C22semidirect
139. #11719297C22semidirect
140. #11719296C22semidirect
141. #11719292C22semidirect
142. #11719291C22semidirect
143. #11719261C22semidirect
144. #11719251C22semidirect
145. #11719245C22semidirect
146. #11719243C22semidirect
147. C2×#88152C22semidirect
148. C2×#88152C22semidirect
149. C2×#88152C22semidirect
150. C2×#88150C22semidirect
151. C2×#88148C22semidirect
152. C2×#88148C22semidirect
153. C2×#88147C22semidirect
154. C2×#88146C22semidirect
155. C2×C4⋊C4×D13C22semidirect
156. C2×#88143C22semidirect
157. C2×#88143C22semidirect
158. C2×#88143C22semidirect
159. C2×#88143C22semidirect
160. C2×#88142C22semidirect
161. C2×#88142C22semidirect
162. C2×#88141C22semidirect
163. #11719200C22semidirect
165. C2×#88140C22semidirect
166. C2×#88139C22semidirect
167. C2×#88139C22semidirect
168. C2×#88139C22semidirect
169. C2×#88139C22semidirect
170. C2×#88139C22semidirect
171. C2×#88139C22semidirect
172. #11719195C22semidirect
173. C2×#88138C22semidirect
174. C2×#88138C22semidirect
175. C2×#88138C22semidirect
176. C2×#88138C22semidirect
177. C2×#88137C22semidirect
178. C2×#88137C22semidirect
179. C2×#88137C22semidirect
180. C2×#88137C22semidirect
182. #11719191C22semidirect
184. C2×#88135C22semidirect
185. C2×#88135C22semidirect
186. C2×#88135C22semidirect
187. C2×#88135C22semidirect
188. C2×#88135C22semidirect
189. C2×#88135C22semidirect
190. C2×#88135C22semidirect
191. C2×#88135C22semidirect
194. C2×#88133C22semidirect
195. C2×#88133C22semidirect
196. C2×#88133C22semidirect
197. C2×#88133C22semidirect
200. C2×#88132C22semidirect
201. C2×#88132C22semidirect
202. C2×#88132C22semidirect
208. C2×#88131C22semidirect
209. C2×#88131C22semidirect
210. C2×#88131C22semidirect
211. C2×#88131C22semidirect
212. C2×#88131C22semidirect
213. C2×#88131C22semidirect
214. C2×#88131C22semidirect
215. C2×#88130C22semidirect
216. C2×#88126C22semidirect
217. C2×#88126C22semidirect
218. C2×C4×Dic26C22semidirect
223. C2×C13×#41C23semidirect
281. C2×#6129C23semidirect
282. C2×#6129C23semidirect
284. C2×#6127C23semidirect
298. C13×#124C23semidirect
299. C13×#123C23semidirect
300. C13×#123C23semidirect
302. C13×#121C23semidirect
303. C13×#121C23semidirect
304. C13×#121C23semidirect
308. C4×D4×C13C23semidirect
351. #88201C23semidirect
352. #88200C23semidirect
353. #88198C23semidirect
354. #88198C23semidirect
355. #88194C23semidirect
356. #88194C23semidirect
365. #88193C23semidirect
366. #88193C23semidirect
367. #88193C23semidirect
368. #88193C23semidirect
369. #88193C23semidirect
370. #88193C23semidirect
371. #88193C23semidirect
372. #88193C23semidirect
373. #88192C23semidirect
374. #88192C23semidirect
376. #88190C23semidirect
377. #88190C23semidirect
379. #88189C23semidirect
380. #88189C23semidirect
381. #88189C23semidirect
382. #88189C23semidirect
384. D4×Dic13C23semidirect
385. D4×Dic13C23semidirect
386. D4×Dic13C23semidirect
387. D4×Dic13C23semidirect
388. #88184C23semidirect
389. #88183C23semidirect
390. #88183C23semidirect
391. #88183C23semidirect
393. C4×C22⋊D13C23semidirect
394. C4×C22⋊D13C23semidirect
395. C4×C22⋊D13C23semidirect
396. C4×C22⋊D13C23semidirect
397. C4×C22⋊D13C23semidirect
398. C4×C22⋊D13C23semidirect
399. C4×C22⋊D13C23semidirect
400. C4×C22⋊D13C23semidirect
418. #88180C23semidirect
426. #88178C23semidirect
452. C2×#6101C23semidirect
453. C2×#6101C23semidirect
454. C2×#6101C23semidirect
468. C2×C4×Dic13C23semidirect
469. C2×C4×Dic13C23semidirect
470. #88152C23semidirect
471. #88152C23semidirect
472. #88152C23semidirect
473. #88150C23semidirect
474. #88148C23semidirect
475. #88148C23semidirect
476. #88147C23semidirect
477. #88146C23semidirect
478. C4⋊C4×D13C23semidirect
479. #88143C23semidirect
480. #88143C23semidirect
481. #88143C23semidirect
482. #88143C23semidirect
483. #88142C23semidirect
484. #88142C23semidirect
485. #88141C23semidirect
487. #88140C23semidirect
488. #88139C23semidirect
489. #88139C23semidirect
490. #88139C23semidirect
491. #88139C23semidirect
492. #88139C23semidirect
493. #88139C23semidirect
494. #88138C23semidirect
495. #88138C23semidirect
496. #88138C23semidirect
497. #88138C23semidirect
498. #88137C23semidirect
499. #88137C23semidirect
500. #88137C23semidirect
501. #88137C23semidirect
504. #88135C23semidirect
505. #88135C23semidirect
506. #88135C23semidirect
507. #88135C23semidirect
508. #88135C23semidirect
509. #88135C23semidirect
510. #88135C23semidirect
511. #88135C23semidirect
514. #88133C23semidirect
515. #88133C23semidirect
516. #88133C23semidirect
517. #88133C23semidirect
520. #88132C23semidirect
521. #88132C23semidirect
522. #88132C23semidirect
528. #88131C23semidirect
529. #88131C23semidirect
530. #88131C23semidirect
531. #88131C23semidirect
532. #88131C23semidirect
533. #88131C23semidirect
534. #88130C23semidirect
535. #88126C23semidirect
536. #88126C23semidirect
537. C4×Dic26C23semidirect
650. C22×Dic13#41semidirect
817. C2×#546D13semidirect
957. C2×Dic13C2×#41semidirect
988. C22×#41C2×D13semidirect
1008. #546C2×D13semidirect
1046. C2×#124C2×D13semidirect
1064. C2×#123C2×D13semidirect
1065. C2×#123C2×D13semidirect
1100. C2×#121C2×D13semidirect
1101. C2×#121C2×D13semidirect
1102. C2×#121C2×D13semidirect
1138. C2×C4×D4C2×D13semidirect
1247. C2×#41C22×D13semidirect
1341. #124C22×D13semidirect
1358. #123C22×D13semidirect
1359. #123C22×D13semidirect
1393. #121C22×D13semidirect
1394. #121C22×D13semidirect
1395. #121C22×D13semidirect
1429. C4×D4C22×D13semidirect
1560. C2×C13#3494semidirect
1829. C13C2×#3494semidirect
2055. C2#13128558direct (N × H)

Maximal subgroups

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

subgroupindex
#131285582
C2×#117193212
C2×#117193752
C2×#117192452
C2×#117193662
C2×#117193062
C2×#117192922
C2×#117192612
C2×#117193422
C2×#117192002
C2×#117195292
C2×#117193602
C2×#117195112
C2×#117191952
C2×#117192962
C2×#117193282
C2×#117193672
C2×#117193742
C2×#117193202
C2×#117192972
C2×#117195372
C2×#117193012
C2×#117192432
C2×#117193542
C2×#117192912
C22×#881932
C2×#117192512
C2×#117191912
C22×#881312
C2×C13×#5462
C2×#349413