Finite Group Databasebeta

← C2×#13129022 #16770101

Subgroups — C2×#13129022 #16770101

Order 3328.

8166 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13129022C2132yesmaximal, direct product factor
2C2×#11719372C211yesmaximal, characteristic, complemented
3C2×#11719389C211yesmaximal, characteristic, complemented
4C2×#11719325C211yesmaximal, characteristic, complemented
5C2×#11719325C211yesmaximal, characteristic, complemented
6C2×#11719323C211yesmaximal, characteristic, complemented
7C2×#11719270C211yesmaximal, characteristic, complemented
8C2×#11719342C211yesmaximal, characteristic, complemented
9C2×#11719200C211yesmaximal, characteristic, complemented
10C2×#11719259C211yesmaximal, characteristic, complemented
11C2×#11719359C211yesmaximal, characteristic, complemented
12C2×#11719195C211yesmaximal, characteristic, complemented
13C2×#11719534C211yesmaximal, characteristic, complemented
14C2×#11719296C211yesmaximal, characteristic, complemented
15C2×D4×C22⋊D13C211yesmaximal, characteristic, complemented
16C2×#11719295C211yesmaximal, characteristic, complemented
17C2×#11719324C211yesmaximal, characteristic, complemented
18C2×#11719368C211yesmaximal, characteristic, complemented
19C2×#11719350C211yesmaximal, characteristic, complemented
20C2×#11719370C211yesmaximal, characteristic, complemented
21C2×#11719269C211yesmaximal, characteristic, complemented
22C2×#11719322C211yesmaximal, characteristic, complemented
23C2×#11719383C211yesmaximal, characteristic, complemented
24C2×#11719265C211yesmaximal, characteristic, complemented
25C2×#11719538C211yesmaximal, characteristic, complemented
26C2×#11719198C211yesmaximal, characteristic, complemented
27C2×#11719294C211yesmaximal, characteristic, complemented
28C2×#11719310C211yesmaximal, characteristic, complemented
29C2×#11719291C211yesmaximal, characteristic, complemented
30C22×#88140C211yesmaximal, characteristic, complemented
31C22×#88193C211yesmaximal, characteristic, complemented
32C2×C13×#546C211yesmaximal, characteristic, complemented
33C22×C13×#41C2211yescharacteristic, complemented
34C23×D4×C13C2211yescharacteristic, complemented
35C23×C22⋊D13C2211yescharacteristic
36C23×C22⋊D13C2211yescharacteristic, complemented
37C23×C22⋊D13C2211yescharacteristic, complemented
38C23×C22⋊D13C2211yescharacteristic, complemented
39C24×Dic13C2211yescharacteristic, complemented
40C22×#6129C2211yescharacteristic, complemented
41C22×D4×D13C2211yescharacteristic, complemented
42C22×D4×D13C2211yescharacteristic, complemented
43C22×D4×D13C2211yescharacteristic, complemented
44C22×#6127C2211yescharacteristic, complemented
45C13×#546C22116yescomplemented
46C2×C13×#124C2211yescharacteristic, complemented
47C2×C13×#123C2211yescharacteristic, complemented
48C2×C13×#123C2211yescharacteristic, complemented
49C2×C13×C22⋊Q8C2211yescharacteristic, complemented
50C2×C13×#121C2211yescharacteristic, complemented
51C2×C13×#121C2211yescharacteristic, complemented
52C2×C13×#121C2211yescharacteristic, complemented
53C2×C13×#120C2211yescharacteristic, complemented
54C2×C13×#120C2211yescharacteristic, complemented
55C2×C4×D4×C13C2211yescharacteristic, complemented
56C2×C4×D4×C13C2211yescharacteristic, complemented
57C22×C13×C22⋊C4C2211yescharacteristic, complemented
58C22×C13×C22⋊C4C2211yescharacteristic, complemented
59C2×#88207C2211yescharacteristic
60C2×#88207C2211yescharacteristic, complemented
61C22×C22⋊Dic13C2211yescharacteristic, complemented
62#11719538C22116yescomplemented
63#11719534C22116yescomplemented
64C2×#88201C2211yescharacteristic, complemented
65C2×#88200C2211yescharacteristic, complemented
66C2×#88200C2211yescharacteristic, complemented
67C2×#88200C2211yescharacteristic, complemented
68C2×#88194C2211yescharacteristic, complemented
69C2×#88194C2211yescharacteristic, complemented
70C2×#88193C2211yescharacteristic
71C2×#88193C2211yescharacteristic
72C2×#88193C2211yescharacteristic, complemented
73C2×#88193C2211yescharacteristic, complemented
74C2×#88193C2211yescharacteristic, complemented
75C2×#88193C2211yescharacteristic, complemented
76C2×#88193C2211yescharacteristic, complemented
77C2×#88193C2211yescharacteristic, complemented
78C2×#88193C2211yescharacteristic, complemented
79C2×#88193C2211yescharacteristic, complemented
80C2×#88193C2211yescharacteristic, complemented
81C2×#88193C2211yescharacteristic, complemented
82C2×#88193C2211yescharacteristic, complemented
83C2×#88193C2211yescharacteristic, complemented
84C2×#88193C2211yescharacteristic, complemented
85C2×#88193C22116yescomplemented
86D4×C22⋊D13C22116yescomplemented
87C2×#88192C2211yescharacteristic, complemented
88C2×#88192C2211yescharacteristic, complemented
89C2×#88192C2211yescharacteristic, complemented
90C2×#88192C2211yescharacteristic, complemented
91C2×#88191C2211yescharacteristic, complemented
92C2×#88191C2211yescharacteristic, complemented
93C2×#88191C2211yescharacteristic, complemented
94C2×#88191C2211yescharacteristic, complemented
95C2×#88191C2211yescharacteristic, complemented
96C2×#88191C2211yescharacteristic, complemented
97C2×#88189C2211yescharacteristic, complemented
98C2×D4×Dic13C2211yescharacteristic, complemented
99C2×D4×Dic13C2211yescharacteristic, complemented
100C2×D4×Dic13C2211yescharacteristic, complemented
101C2×D4×Dic13C2211yescharacteristic, complemented
102C2×#88184C2211yescharacteristic
103C2×#88184C2211yescharacteristic, complemented
104C2×#88184C2211yescharacteristic, complemented
105C2×#88184C2211yescharacteristic, complemented
106C2×#88184C2211yescharacteristic, complemented
107C2×#88184C2211yescharacteristic, complemented
108C2×#88184C2211yescharacteristic, complemented
109C2×#88183C2211yescharacteristic, complemented
110C2×#88183C2211yescharacteristic, complemented
111C2×#88183C2211yescharacteristic, complemented
112C2×C4×C22⋊D13C2211yescharacteristic, complemented
113C2×C4×C22⋊D13C2211yescharacteristic, complemented
114C2×C4×C22⋊D13C2211yescharacteristic, complemented
115C22×#6103C2211yescharacteristic, complemented
116C22×#6103C2211yescharacteristic, complemented
117C22×#6103C2211yescharacteristic, complemented
118C22×#6103C2211yescharacteristic, complemented
119C2×#88180C2211yescharacteristic, complemented
120C22×C4⋊Dic13C2211yescharacteristic, complemented
121C22×C4⋊Dic13C2211yescharacteristic, complemented
122C2×#88178C2211yescharacteristic, complemented
123C2×#88178C2211yescharacteristic, complemented
124C22×#6101C2211yescharacteristic, complemented
125#11719389C22116yescomplemented
126#11719383C22116yescomplemented
127#11719372C22116yescomplemented
128#11719370C22116yescomplemented
129#11719368C22116yescomplemented
130#11719359C22116yescomplemented
131#11719350C22116yescomplemented
132#11719342C22116yescomplemented
133#11719325C22116yescomplemented
134#11719325C22116yescomplemented
135#11719324C22116yescomplemented
136#11719323C22116yescomplemented
137#11719322C22116yescomplemented
138#11719310C22116yescomplemented
139#11719296C22116yescomplemented
140#11719295C22116yescomplemented
141#11719294C22116yescomplemented
142#11719291C22116yescomplemented
143#11719270C22116yescomplemented
144#11719269C22116yescomplemented
145#11719265C22116yescomplemented
146#11719259C22116yescomplemented
147C2×#88152C2211yescharacteristic, complemented
148C2×#88152C2211yescharacteristic, complemented
149C2×#88152C2211yescharacteristic, complemented
150C2×#88152C2211yescharacteristic, complemented
151C2×#88151C2211yescharacteristic, complemented
152C2×#88150C2211yescharacteristic, complemented
153C2×#88149C2211yescharacteristic, complemented
154C2×#88148C2211yescharacteristic, complemented
155C2×#88148C2211yescharacteristic, complemented
156C2×#88148C2211yescharacteristic, complemented
157C2×#88148C2211yescharacteristic, complemented
158C2×#88147C2211yescharacteristic, complemented
159C2×#88146C2211yescharacteristic, complemented
160C2×#88144C2211yescharacteristic, complemented
161C2×#88144C2211yescharacteristic, complemented
162C2×#88143C2211yescharacteristic, complemented
163#11719200C22116yescomplemented
164#11719198C22116yescomplemented
165C2×#88140C2211yescharacteristic, complemented
166C2×#88140C2211yescharacteristic, complemented
167C2×#88140C2211yescharacteristic, complemented
168C2×#88140C2211yescharacteristic, complemented
169C2×#88140C2211yescharacteristic, complemented
170C2×#88140C2211yescharacteristic, complemented
171C2×#88140C2211yescharacteristic, complemented
172C2×#88140C2211yescharacteristic, complemented
173C2×#88140C2211yescharacteristic, complemented
174C2×#88140C2211yescharacteristic, complemented
175C2×#88140C2211yescharacteristic, complemented
176C2×#88140C2211yescharacteristic, complemented
177C2×#88140C22116yescomplemented
178C2×#88139C2211yescharacteristic, complemented
179C2×#88139C2211yescharacteristic, complemented
180C2×#88139C2211yescharacteristic, complemented
181#11719195C22116yescomplemented
182C2×#88138C2211yescharacteristic, complemented
183C2×#88138C2211yescharacteristic, complemented
184C2×#88138C2211yescharacteristic, complemented
185C2×#88138C2211yescharacteristic, complemented
186C2×#88138C2211yescharacteristic, complemented
187C2×#88138C2211yescharacteristic, complemented
188C2×#88137C2211yescharacteristic, complemented
189C2×#88137C2211yescharacteristic, complemented
190C2×#88137C2211yescharacteristic, complemented
191C2×#88137C2211yescharacteristic, complemented
192C2×#88137C2211yescharacteristic, complemented
193C2×#88137C2211yescharacteristic, complemented
194C2×#88136C2211yescharacteristic
195C2×#88136C2211yescharacteristic, complemented
196C2×#88136C2211yescharacteristic, complemented
197C2×#88136C2211yescharacteristic, complemented
198C2×#88136C2211yescharacteristic, complemented
199C2×#88136C2211yescharacteristic, complemented
200C2×#88135C2211yescharacteristic, complemented
201C2×#88135C2211yescharacteristic, complemented
202C2×#88135C2211yescharacteristic, complemented
203C2×#88135C2211yescharacteristic, complemented
204C2×#88135C2211yescharacteristic, complemented
205C2×C22⋊C4×D13C2211yescharacteristic, complemented
206C2×C22⋊C4×D13C2211yescharacteristic, complemented
207C2×#88133C2211yescharacteristic, complemented
208C2×#88133C2211yescharacteristic, complemented
209C2×#88133C2211yescharacteristic, complemented
210C2×#88132C2211yescharacteristic, complemented
211C2×#88132C2211yescharacteristic, complemented
212C2×#88132C2211yescharacteristic, complemented
213C2×#88132C2211yescharacteristic, complemented
214C2×#88131C2211yescharacteristic, complemented
215C2×#88130C2211yescharacteristic, complemented
216C2×#88129C2211yescharacteristic, complemented
217C2×C4×D52C2211yescharacteristic, complemented
218C2×#88124C2211yescharacteristic, complemented
219C25×C13C2311yescharacteristic
220C25×C13C2311yescharacteristic
221C24×D13C2311yescharacteristic
222C24×D13C2311yescharacteristic
223C24×D13C2311yescharacteristic
224C24×D13C2311yescharacteristic
225C2×C13×#41—44no—
226C2×C13×#41C2318yescomplemented
227C22×Q8×C13C2311yescharacteristic
228C22×D4×C13—44no—
229C22×D4×C13C2311yescharacteristic
230C22×D4×C13C2311yescharacteristic
231C22×D4×C13C2311yescharacteristic
232C22×D4×C13C2311yescharacteristic
233C22×D4×C13C2311yescharacteristic
234C22×D4×C13C2311yescharacteristic
235C22×D4×C13C2311yescharacteristic
236C22×D4×C13C2311yescharacteristic
237C22×D4×C13C2311yescharacteristic
238C22×D4×C13C2318yescomplemented
239C23×C4×C13C2311yescharacteristic
240C23×C4×C13C2311yescharacteristic
241C23×C4×C13C2311yescharacteristic
242C23×C4×C13C2311yescharacteristic
243C23×C4×C13C2311yescharacteristic
244C23×C4×C13C2311yescharacteristic
245C22×C22⋊D13—44no—
246C22×C22⋊D13—44no—
247C22×C22⋊D13—44no—
248C22×C22⋊D13—44no—
249C22×C22⋊D13C2311yescharacteristic
250C22×C22⋊D13C2311yescharacteristic
251C22×C22⋊D13C2311yescharacteristic
252C22×C22⋊D13C2311yescharacteristic
253C22×C22⋊D13C2311yescharacteristic
254C22×C22⋊D13C2311yescharacteristic
255C22×C22⋊D13C2311yescharacteristic
256C22×C22⋊D13C2311yescharacteristic
257C22×C22⋊D13C2311yescharacteristic
258C22×C22⋊D13C2311yescharacteristic
259C22×C22⋊D13C2311yescharacteristic
260C22×C22⋊D13C2311yescharacteristic
261C22×C22⋊D13C2311yescharacteristic
262C22×C22⋊D13C2311yescharacteristic
263C22×C22⋊D13C2311yescharacteristic
264C22×C22⋊D13C2311yescharacteristic
265C22×C22⋊D13C2311yescharacteristic
266C22×C22⋊D13C2311yescharacteristic
267C22×C22⋊D13C2311yescharacteristic
268C22×C22⋊D13C2311yescharacteristic
269C22×C22⋊D13C2311yescharacteristic
270C22×C22⋊D13C2318yes—
271C22×C22⋊D13C2311yescharacteristic
272C22×C22⋊D13C2318yescomplemented
273C22×C22⋊D13C2318yescomplemented
274C22×C22⋊D13C2318yescomplemented
275C23×Dic13—44no—
276C23×Dic13C2311yescharacteristic
277C23×Dic13C2311yescharacteristic
278C23×Dic13C2311yescharacteristic
279C23×Dic13C2311yescharacteristic
280C23×Dic13C2311yescharacteristic
281C23×Dic13C2311yescharacteristic
282C23×Dic13C2311yescharacteristic
283C23×Dic13C2311yescharacteristic
284C23×Dic13C2311yescharacteristic
285C23×Dic13C2311yescharacteristic
286C23×Dic13C2318yescomplemented
287C2×#6129—44no—
288C2×#6129C2318yescomplemented
289C2×D4×D13—44no—
290C2×D4×D13—44no—
291C2×D4×D13—44no—
292C2×D4×D13C2318yescomplemented
293C2×D4×D13C2318yescomplemented
294C2×D4×D13C2318yescomplemented
295C2×#6127—44no—
296C2×#6127C2318yescomplemented
297C22×D52C2311yescharacteristic
298C22×D52C2311yescharacteristic
299C22×D52C2311yescharacteristic
300C22×D52C2311yescharacteristic
301C22×D52C2311yescharacteristic
302C22×D52C2311yescharacteristic
303C22×C4×D13C2311yescharacteristic
304C22×C4×D13C2311yescharacteristic
305C22×C4×D13C2311yescharacteristic
306C22×C4×D13C2311yescharacteristic
307C22×C4×D13C2311yescharacteristic
308C22×C4×D13C2311yescharacteristic
309C22×C4×D13C2311yescharacteristic
310C22×Dic26C2311yescharacteristic
311C22×Dic26C2311yescharacteristic
312C13×#124C2318yescomplemented
313C13×#123C2318yescomplemented
314C13×#123C2318yescomplemented
315C13×C22⋊Q8C2318yescomplemented
316C13×#121C2318yescomplemented
317C13×#121C2318yescomplemented
318C13×#121C2318yescomplemented
319C13×#120C2318yescomplemented
320C13×#120C2318yescomplemented
321C4×D4×C13C2318yescomplemented
322C4×D4×C13C2318yescomplemented
323C2×C13×C4⋊C4C2311yescharacteristic
324C2×C13×C4⋊C4C2311yescharacteristic
325C2×C13×C4⋊C4C2311yescharacteristic
326C2×C13×C4⋊C4C2311yescharacteristic
327C2×C13×C22⋊C4C2311yescharacteristic
328C2×C13×C22⋊C4C2311yescharacteristic
329C2×C13×C22⋊C4C2311yescharacteristic
330C2×C13×C22⋊C4C2311yescharacteristic
331C2×C13×C22⋊C4C2311yescharacteristic
332C2×C13×C22⋊C4C2311yescharacteristic
333C2×C13×C22⋊C4C2311yescharacteristic
334C2×C13×C22⋊C4C2311yescharacteristic
335C2×C13×C22⋊C4C2311yescharacteristic
336C2×C13×C22⋊C4C2311yescharacteristic
337C2×C13×C22⋊C4C2311yescharacteristic
338C2×C13×C22⋊C4C2311yescharacteristic
339C2×C13×C22⋊C4C2318yescomplemented
340C2×C13×C22⋊C4C2318yescomplemented
341C2×C42×C13C2311yescharacteristic
342#88207C2318yes—
343#88207C2318yescomplemented
344C2×C22⋊Dic13C2311yescharacteristic
345C2×C22⋊Dic13C2311yescharacteristic
346C2×C22⋊Dic13C2311yescharacteristic
347C2×C22⋊Dic13C2311yescharacteristic
348C2×C22⋊Dic13C2311yescharacteristic
349C2×C22⋊Dic13C2311yescharacteristic
350C2×C22⋊Dic13C2311yescharacteristic
351C2×C22⋊Dic13C2311yescharacteristic
352C2×C22⋊Dic13C2311yescharacteristic
353C2×C22⋊Dic13C2311yescharacteristic
354C2×C22⋊Dic13C2311yescharacteristic
355C2×C22⋊Dic13C2311yescharacteristic
356C2×C22⋊Dic13C2318yescomplemented
357#88201C2318yescomplemented
358#88200C2318yescomplemented
359#88200C2318yescomplemented
360#88200C2318yescomplemented
361#88194C2318yescomplemented
362#88194C2318yescomplemented
363#88193C2318yes—
364#88193C2318yes—
365#88193C2318yescomplemented
366#88193C2318yescomplemented
367#88193C2318yescomplemented
368#88193C2318yescomplemented
369#88193C2318yescomplemented
370#88193C2318yescomplemented
371#88193C2318yescomplemented
372#88193C2318yescomplemented
373#88193C2318yescomplemented
374#88193C2318yescomplemented
375#88193C2318yescomplemented
376#88193C2318yescomplemented
377#88193C2318yescomplemented
378#88192C2318yescomplemented
379#88192C2318yescomplemented
380#88192C2318yescomplemented
381#88192C2318yescomplemented
382#88191C2318yescomplemented
383#88191C2318yescomplemented
384#88191C2318yescomplemented
385#88191C2318yescomplemented
386#88191C2318yescomplemented
387#88191C2318yescomplemented
388#88189C2318yescomplemented
389D4×Dic13C2318yescomplemented
390D4×Dic13C2318yescomplemented
391D4×Dic13C2318yescomplemented
392D4×Dic13C2318yescomplemented
393#88184C2318yes—
394#88184C2318yescomplemented
395#88184C2318yescomplemented
396#88184C2318yescomplemented
397#88184C2318yescomplemented
398#88184C2318yescomplemented
399#88184C2318yescomplemented
400#88183C2318yescomplemented
401#88183C2318yescomplemented
402#88183C2318yescomplemented
403C4×C22⋊D13C2318yescomplemented
404C4×C22⋊D13C2318yescomplemented
405C4×C22⋊D13C2318yescomplemented
406C2×#6103C2311yescharacteristic
407C2×#6103C2311yescharacteristic
408C2×#6103C2311yescharacteristic
409C2×#6103C2311yescharacteristic
410C2×#6103C2311yescharacteristic
411C2×#6103C2311yescharacteristic
412C2×#6103C2311yescharacteristic
413C2×#6103C2311yescharacteristic
414C2×#6103C2311yescharacteristic
415C2×#6103C2311yescharacteristic
416C2×#6103C2311yescharacteristic
417C2×#6103C2311yescharacteristic
418C2×#6103C2311yescharacteristic
419C2×#6103C2311yescharacteristic
420C2×#6103C2311yescharacteristic
421C2×#6103C2311yescharacteristic
422C2×#6103C2311yescharacteristic
423C2×#6103C2311yescharacteristic
424C2×#6103C2311yescharacteristic
425C2×#6103C2311yescharacteristic
426C2×#6103C2311yescharacteristic
427C2×#6103C2311yescharacteristic
428C2×#6103C2311yescharacteristic
429C2×#6103C2311yescharacteristic
430C2×#6103C2311yescharacteristic
431C2×#6103C2311yescharacteristic
432C2×#6103C2318yescomplemented
433C2×#6103C2318yescomplemented
434C2×#6103C2318yescomplemented
435C2×#6103C2318yescomplemented
436#88180C2318yescomplemented
437C2×C4⋊Dic13C2311yescharacteristic
438C2×C4⋊Dic13C2311yescharacteristic
439C2×C4⋊Dic13C2311yescharacteristic
440C2×C4⋊Dic13C2311yescharacteristic
441C2×C4⋊Dic13C2311yescharacteristic
442C2×C4⋊Dic13C2311yescharacteristic
443C2×C4⋊Dic13C2311yescharacteristic
444C2×C4⋊Dic13C2311yescharacteristic
445C2×C4⋊Dic13C2311yescharacteristic
446C2×C4⋊Dic13C2311yescharacteristic
447C2×C4⋊Dic13C2311yescharacteristic
448C2×C4⋊Dic13C2311yescharacteristic
449C2×C4⋊Dic13C2318yescomplemented
450C2×C4⋊Dic13C2318yescomplemented
451#88178C2318yescomplemented
452#88178C2318yescomplemented
453C2×#6101C2311yescharacteristic
454C2×#6101C2311yescharacteristic
455C2×#6101C2311yescharacteristic
456C2×#6101C2311yescharacteristic
457C2×#6101C2311yescharacteristic
458C2×#6101C2311yescharacteristic
459C2×#6101C2311yescharacteristic
460C2×#6101C2311yescharacteristic
461C2×#6101C2311yescharacteristic
462C2×#6101C2311yescharacteristic
463C2×#6101C2311yescharacteristic
464C2×#6101C2311yescharacteristic
465C2×#6101C2311yescharacteristic
466C2×#6101C2311yescharacteristic
467C2×#6101C2318yescomplemented
468C2×C4×Dic13C2311yescharacteristic
469C2×C4×Dic13C2311yescharacteristic
470C2×C4×Dic13C2311yescharacteristic
471C2×C4×Dic13C2311yescharacteristic
472C2×C4×Dic13C2311yescharacteristic
473#88152C2318yescomplemented
474#88152C2318yescomplemented
475#88152C2318yescomplemented
476#88152C2318yescomplemented
477#88151C2318yescomplemented
478#88150C2318yescomplemented
479#88149C2318yescomplemented
480#88148C2318yescomplemented
481#88148C2318yescomplemented
482#88148C2318yescomplemented
483#88148C2318yescomplemented
484#88147C2318yescomplemented
485#88146C2318yescomplemented
486#88144C2318yescomplemented
487#88144C2318yescomplemented
488#88143C2318yescomplemented
489#88140C2318yescomplemented
490#88140C2318yescomplemented
491#88140C2318yescomplemented
492#88140C2318yescomplemented
493#88140C2318yescomplemented
494#88140C2318yescomplemented
495#88140C2318yescomplemented
496#88140C2318yescomplemented
497#88140C2318yescomplemented
498#88140C2318yescomplemented
499#88140C2318yescomplemented
500#88140C2318yescomplemented
501#88139C2318yescomplemented
502#88139C2318yescomplemented
503#88139C2318yescomplemented
504#88138C2318yescomplemented
505#88138C2318yescomplemented
506#88138C2318yescomplemented
507#88138C2318yescomplemented
508#88138C2318yescomplemented
509#88138C2318yescomplemented
510#88137C2318yescomplemented
511#88137C2318yescomplemented
512#88137C2318yescomplemented
513#88137C2318yescomplemented
514#88137C2318yescomplemented
515#88137C2318yescomplemented
516#88136C2318yes—
517#88136C2318yescomplemented
518#88136C2318yescomplemented
519#88136C2318yescomplemented
520#88136C2318yescomplemented
521#88136C2318yescomplemented
522#88135C2318yescomplemented
523#88135C2318yescomplemented
524#88135C2318yescomplemented
525#88135C2318yescomplemented
526#88135C2318yescomplemented
527C22⋊C4×D13C2318yescomplemented
528C22⋊C4×D13C2318yescomplemented
529#88133C2318yescomplemented
530#88133C2318yescomplemented
531#88133C2318yescomplemented
532#88132C2318yescomplemented
533#88132C2318yescomplemented
534#88132C2318yescomplemented
535#88132C2318yescomplemented
536#88131C2318yescomplemented
537#88130C2318yescomplemented
538#88129C2318yescomplemented
539C4×D52C2318yescomplemented
540#88124C2318yescomplemented
541C2×#3534—131nomaximal, Sylow
542C24×C13—24no—
543C24×C13—24no—
544C24×C13—24no—
545C24×C13—42no—
546C24×C13—42no—
547C24×C13—42no—
548C24×C13C2411yescharacteristic
549C24×C13C2411yescharacteristic
550C24×C13C2411yescharacteristic
551C24×C13C2411yescharacteristic
552C24×C13C2414yes—
553C24×C13C2411yescharacteristic
554C24×C13C2411yescharacteristic
555C24×C13C2414yes—
556C23×D13—24no—
557C23×D13—24no—
558C23×D13—42no—
559C23×D13—42no—
560C23×D13—42no—
561C23×D13—42no—
562C23×D13—42no—
563C23×D13—42no—
564C23×D13—42no—
565C23×D13—42no—
566C23×D13—42no—
567C23×D13—42no—
568C23×D13C2411yescharacteristic
569C23×D13C2411yescharacteristic
570C23×D13C2411yescharacteristic
571C23×D13C2411yescharacteristic
572C23×D13C2411yescharacteristic
573C23×D13C2414yes—
574C23×D13C2414yes—
575C23×D13C2414yes—
576C23×D13C2414yes—
577C13×#41—416no—
578C2×Q8×C13—42no—
579C2×Q8×C13C2414yes—
580C2×D4×C13—24no—
581C2×D4×C13—24no—
582C2×D4×C13—24no—
583C2×D4×C13—24no—
584C2×D4×C13—42no—
585C2×D4×C13—42no—
586C2×D4×C13—42no—
587C2×D4×C13—42no—
588C2×D4×C13—42no—
589C2×D4×C13—416no—
590C2×D4×C13C2414yes—
591C2×D4×C13C2414yes—
592C2×D4×C13C2414yes—
593C2×D4×C13C2414yes—
594C2×D4×C13C2414yes—
595C2×D4×C13C2414yes—
596C2×D4×C13C2414yes—
597C2×D4×C13C2414yes—
598C2×D4×C13C2414yes—
599C22×C4×C13—24no—
600C22×C4×C13—42no—
601C22×C4×C13—42no—
602C22×C4×C13—42no—
603C22×C4×C13—42no—
604C22×C4×C13—42no—
605C22×C4×C13C2411yescharacteristic
606C22×C4×C13C2411yescharacteristic
607C22×C4×C13C2411yescharacteristic
608C22×C4×C13C2411yescharacteristic
609C22×C4×C13C2411yescharacteristic
610C22×C4×C13C2411yescharacteristic
611C22×C4×C13C2411yescharacteristic
612C22×C4×C13C2411yescharacteristic
613C22×C4×C13C2411yescharacteristic
614C22×C4×C13C2414yes—
615C22×C4×C13C2414yes—
616C22×C4×C13C2414yes—
617C22×C4×C13C2414yes—
618C22×C4×C13C2414yes—
619C22×C4×C13C2414yes—
620C2×C22⋊D13—24no—
621C2×C22⋊D13—24no—
622C2×C22⋊D13—24no—
623C2×C22⋊D13—24no—
624C2×C22⋊D13—24no—
625C2×C22⋊D13—24no—
626C2×C22⋊D13—42no—
627C2×C22⋊D13—42no—
628C2×C22⋊D13—42no—
629C2×C22⋊D13—42no—
630C2×C22⋊D13—42no—
631C2×C22⋊D13—42no—
632C2×C22⋊D13—42no—
633C2×C22⋊D13—42no—
634C2×C22⋊D13—42no—
635C2×C22⋊D13—42no—
636C2×C22⋊D13—42no—
637C2×C22⋊D13—42no—
638C2×C22⋊D13—42no—
639C2×C22⋊D13—42no—
640C2×C22⋊D13—416no—
641C2×C22⋊D13—42no—
642C2×C22⋊D13—42no—
643C2×C22⋊D13—416no—
644C2×C22⋊D13—416no—
645C2×C22⋊D13—416no—
646C2×C22⋊D13C2414yes—
647C2×C22⋊D13C2414yes—
648C2×C22⋊D13C2414yes—
649C2×C22⋊D13C2414yes—
650C2×C22⋊D13C2414yes—
651C2×C22⋊D13C2414yes—
652C2×C22⋊D13C2414yes—
653C2×C22⋊D13C2414yes—
654C2×C22⋊D13C2414yes—
655C2×C22⋊D13C2414yes—
656C2×C22⋊D13C2414yes—
657C2×C22⋊D13C2414yes—
658C2×C22⋊D13C2414yes—
659C2×C22⋊D13C2414yes—
660C2×C22⋊D13C2414yes—
661C2×C22⋊D13C2414yes—
662C2×C22⋊D13C2414yes—
663C2×C22⋊D13C2414yes—
664C2×C22⋊D13C2414yes—
665C2×C22⋊D13C2414yes—
666C2×C22⋊D13C2414yes—
667C2×C22⋊D13C2414yes—
668C22×Dic13—24no—
669C22×Dic13—24no—
670C22×Dic13—42no—
671C22×Dic13—42no—
672C22×Dic13—42no—
673C22×Dic13—42no—
674C22×Dic13—42no—
675C22×Dic13—416no—
676C22×Dic13—42no—
677C22×Dic13—42no—
678C22×Dic13—42no—
679C22×Dic13C2414yes—
680C22×Dic13C2414yes—
681C22×Dic13C2411yescharacteristic
682C22×Dic13C2411yescharacteristic
683C22×Dic13C2411yescharacteristic
684C22×Dic13C2411yescharacteristic
685C22×Dic13C2411yescharacteristic
686C22×Dic13C2411yescharacteristic
687C22×Dic13C2411yescharacteristic
688C22×Dic13C2411yescharacteristic
689C22×Dic13C2411yescharacteristic
690C22×Dic13C2411yescharacteristic
691C22×Dic13C2411yescharacteristic
692C22×Dic13C2414yes—
693C22×Dic13C2414yes—
694C22×Dic13C2414yes—
695C22×Dic13C2414yes—
696C22×Dic13C2414yes—
697C22×Dic13C2414yes—
698C22×Dic13C2414yes—
699C22×Dic13C2414yes—
700#6129—416no—
701D4×D13—416no—
702D4×D13—416no—
703D4×D13—416no—
704#6127—416no—
705C2×D52—42no—
706C2×D52—42no—
707C2×D52—42no—
708C2×D52—42no—
709C2×D52—42no—
710C2×D52—42no—
711C2×D52C2414yes—
712C2×D52C2414yes—
713C2×D52C2414yes—
714C2×D52C2414yes—
715C2×D52C2414yes—
716C2×D52C2414yes—
717C2×C4×D13—42no—
718C2×C4×D13—42no—
719C2×C4×D13—42no—
720C2×C4×D13—42no—
721C2×C4×D13—42no—
722C2×C4×D13—42no—
723C2×C4×D13—42no—
724C2×C4×D13C2414yes—
725C2×C4×D13C2414yes—
726C2×C4×D13C2414yes—
727C2×C4×D13C2414yes—
728C2×C4×D13C2414yes—
729C2×C4×D13C2414yes—
730C2×C4×D13C2414yes—
731C2×Dic26—42no—
732C2×Dic26—42no—
733C2×Dic26C2414yes—
734C2×Dic26C2414yes—
735C13×C4⋊C4C2414yes—
736C13×C4⋊C4C2414yes—
737C13×C4⋊C4C2414yes—
738C13×C4⋊C4C2414yes—
739C13×C22⋊C4C2414yes—
740C13×C22⋊C4C2414yes—
741C13×C22⋊C4C2414yes—
742C13×C22⋊C4C2414yes—
743C13×C22⋊C4C2414yes—
744C13×C22⋊C4C2414yes—
745C13×C22⋊C4C2414yes—
746C13×C22⋊C4C2414yes—
747C13×C22⋊C4C2414yes—
748C13×C22⋊C4C2414yes—
749C13×C22⋊C4C2414yes—
750C13×C22⋊C4C2414yes—
751C42×C13C2414yes—
752C22⋊Dic13C2414yes—
753C22⋊Dic13C2414yes—
754C22⋊Dic13C2414yes—
755C22⋊Dic13C2414yes—
756C22⋊Dic13C2414yes—
757C22⋊Dic13C2414yes—
758C22⋊Dic13C2414yes—
759C22⋊Dic13C2414yes—
760C22⋊Dic13C2414yes—
761C22⋊Dic13C2414yes—
762C22⋊Dic13C2414yes—
763C22⋊Dic13C2414yes—
764#6103C2414yes—
765#6103C2414yes—
766#6103C2414yes—
767#6103C2414yes—
768#6103C2414yes—
769#6103C2414yes—
770#6103C2414yes—
771#6103C2414yes—
772#6103C2414yes—
773#6103C2414yes—
774#6103C2414yes—
775#6103C2414yes—
776#6103C2414yes—
777#6103C2414yes—
778#6103C2414yes—
779#6103C2414yes—
780#6103C2414yes—
781#6103C2414yes—
782#6103C2414yes—
783#6103C2414yes—
784#6103C2414yes—
785#6103C2414yes—
786#6103C2414yes—
787#6103C2414yes—
788#6103C2414yes—
789#6103C2414yes—
790C4⋊Dic13C2414yes—
791C4⋊Dic13C2414yes—
792C4⋊Dic13C2414yes—
793C4⋊Dic13C2414yes—
794C4⋊Dic13C2414yes—
795C4⋊Dic13C2414yes—
796C4⋊Dic13C2414yes—
797C4⋊Dic13C2414yes—
798C4⋊Dic13C2414yes—
799C4⋊Dic13C2414yes—
800C4⋊Dic13C2414yes—
801C4⋊Dic13C2414yes—
802#6101C2414yes—
803#6101C2414yes—
804#6101C2414yes—
805#6101C2414yes—
806#6101C2414yes—
807#6101C2414yes—
808#6101C2414yes—
809#6101C2414yes—
810#6101C2414yes—
811#6101C2414yes—
812#6101C2414yes—
813#6101C2414yes—
814#6101C2414yes—
815#6101C2414yes—
816C4×Dic13C2414yes—
817C4×Dic13C2414yes—
818C4×Dic13C2414yes—
819C4×Dic13C2414yes—
820C4×Dic13C2414yes—
821#3534—1332no—
822C2×#562—131no—
823C2×#562—131no—
824C2×#560—131no—
825C2×#560—131no—
826C2×#553—131no—
827C2×#553—131no—
828C2×#551—131no—
829C2×#551—131no—
830C2×#546—131no—
831C2×#546—131no—
832C2×#546—131no—
833C2×#546—131no—
834C2×#546—131no—
835C2×#546D1311yescharacteristic, complemented
836C2×D42—131no—
837C2×D42—131no—
838C2×#540—131no—
839C2×#540—131no—
840C2×#539—131no—
841C2×#539—131no—
842C2×#539—131no—
843C2×#538—131no—
844C2×#538—131no—
845C2×#538—131no—
846C2×#537—131no—
847C2×#534—131no—
848C2×#534—131no—
849C2×#534—131no—
850C2×#525—131no—
851C22×#123—131no—
852C22×#121—131no—
853C23×C13—22no—
854C23×C13—22no—
855C23×C13—22no—
856C23×C13—22no—
857C23×C13—28no—
858C23×C13—22no—
859C23×C13—22no—
860C23×C13—22no—
861C23×C13—22no—
862C23×C13—28no—
863C23×C13—22no—
864C23×C13—22no—
865C23×C13—22no—
866C23×C13—22no—
867C23×C13—22no—
868C23×C13—22no—
869C23×C13—22no—
870C23×C13—22no—
871C23×C13—28no—
872C23×C13—44no—
873C23×C13—44no—
874C23×C13—44no—
875C23×C13—416no—
876C23×C13—88no—
877C23×C13H(5,𝔽2)14yes—
878C23×C13H(5,𝔽2)14yes—
879C23×C13C2512yes—
880C23×C13C2512yes—
881C23×C13C2512yes—
882C23×C13C2512yes—
883C23×C13C2512yes—
884C23×C13C2512yes—
885C23×C13C2511yescharacteristic
886C22×D13—22no—
887C22×D13—22no—
888C22×D13—22no—
889C22×D13—22no—
890C22×D13—22no—
891C22×D13—22no—
892C22×D13—22no—
893C22×D13—22no—
894C22×D13—22no—
895C22×D13—22no—
896C22×D13—22no—
897C22×D13—22no—
898C22×D13—22no—
899C22×D13—22no—
900C22×D13—22no—
901C22×D13—28no—
902C22×D13—28no—
903C22×D13—44no—
904C22×D13—44no—
905C22×D13—44no—
906C22×D13—44no—
907C22×D13—44no—
908C22×D13—44no—
909C22×D13—44no—
910C22×D13—44no—
911C22×D13—44no—
912C22×D13—44no—
913C22×D13—88no—
914C22×D13—88no—
915C22×D13—88no—
916C22×D13—88no—
917C22×D13C2512yes—
918C22×D13C2512yes—
919C22×D13C2512yes—
920C22×D13C2512yes—
921C22×D13C2512yes—
922Q8×C13—44no—
923D4×C13—28no—
924D4×C13—28no—
925D4×C13—28no—
926D4×C13—28no—
927D4×C13—44no—
928D4×C13—44no—
929D4×C13—44no—
930D4×C13—44no—
931D4×C13—44no—
932C2×C4×C13—22no—
933C2×C4×C13—22no—
934C2×C4×C13—22no—
935C2×C4×C13—22no—
936C2×C4×C13—22no—
937C2×C4×C13—28no—
938C2×C4×C13—22no—
939C2×C4×C13—22no—
940C2×C4×C13—22no—
941C2×C4×C13—22no—
942C2×C4×C13—44no—
943C2×C4×C13—44no—
944C2×C4×C13—44no—
945C2×C4×C13—44no—
946C2×C4×C13—44no—
947C2×C4×C13C2512yes—
948C2×C4×C13C2512yes—
949C2×C4×C13C2512yes—
950C2×C4×C13C2512yes—
951C2×C4×C13C2512yes—
952C2×C4×C13C2512yes—
953C2×C4×C13C2512yes—
954C2×C4×C13C2512yes—
955C2×C4×C13C2512yes—
956C22⋊D13—28no—
957C22⋊D13—28no—
958C22⋊D13—28no—
959C22⋊D13—28no—
960C22⋊D13—28no—
961C22⋊D13—28no—
962C22⋊D13—44no—
963C22⋊D13—44no—
964C22⋊D13—44no—
965C22⋊D13—44no—
966C22⋊D13—44no—
967C22⋊D13—44no—
968C22⋊D13—44no—
969C22⋊D13—44no—
970C22⋊D13—44no—
971C22⋊D13—44no—
972C22⋊D13—44no—
973C22⋊D13—44no—
974C22⋊D13—44no—
975C22⋊D13—44no—
976C22⋊D13—44no—
977C22⋊D13—44no—
978C2×Dic13—22no—
979C2×Dic13—22no—
980C2×Dic13—22no—
981C2×Dic13—22no—
982C2×Dic13—22no—
983C2×Dic13—22no—
984C2×Dic13—22no—
985C2×Dic13—28no—
986C2×Dic13—28no—
987C2×Dic13—22no—
988C2×Dic13—22no—
989C2×Dic13—22no—
990C2×Dic13—22no—
991C2×Dic13—44no—
992C2×Dic13—44no—
993C2×Dic13—44no—
994C2×Dic13—44no—
995C2×Dic13—44no—
996C2×Dic13—44no—
997C2×Dic13—44no—
998C2×Dic13—44no—
999C2×Dic13C2512yes—
1000C2×Dic13C2512yes—
1001C2×Dic13C2512yes—
1002C2×Dic13C2512yes—
1003C2×Dic13C2512yes—
1004C2×Dic13C2512yes—
1005C2×Dic13C2512yes—
1006C2×Dic13C2512yes—
1007C2×Dic13C2512yes—
1008C2×Dic13C2512yes—
1009C2×Dic13C2512yes—
1010D52—44no—
1011D52—44no—
1012D52—44no—
1013D52—44no—
1014D52—44no—
1015D52—44no—
1016C4×D13—44no—
1017C4×D13—44no—
1018C4×D13—44no—
1019C4×D13—44no—
1020C4×D13—44no—
1021C4×D13—44no—
1022C4×D13—44no—
1023Dic26—44no—
1024Dic26—44no—
1025C22×#41—131no—
1026C22×#41—131no—
1027C22×#41C2×D1311yescharacteristic, complemented
1028C23×D4—131no—
1029C23×D4—131no—
1030C23×D4—131no—
1031C23×D4—131no—
1032C23×D4—131no—
1033C23×D4—131no—
1034C23×D4—131no—
1035C23×D4C2×D1311yescharacteristic, complemented
1036C24×C4—131no—
1037#562—1316no—
1038#562—1316no—
1039#560—1316no—
1040#560—1316no—
1041#553—1316no—
1042#553—1316no—
1043#551—1316no—
1044#551—1316no—
1045#546—1316no—
1046#546—1316no—
1047#546—1316no—
1048#546—1316no—
1049#546—1316no—
1050#546C2×D13116yescomplemented
1051D42—1316no—
1052D42—1316no—
1053#540—1316no—
1054#540—1316no—
1055#539—1316no—
1056#539—1316no—
1057#539—1316no—
1058#538—1316no—
1059#538—1316no—
1060#538—1316no—
1061#537—1316no—
1062#534—1316no—
1063#534—1316no—
1064#534—1316no—
1065C2×#127—131no—
1066C2×#127—131no—
1067C2×#126—131no—
1068C2×#126—131no—
1069C2×#126—131no—
1070C2×#126—131no—
1071C2×#126—131no—
1072C2×#126—131no—
1073C2×#126—131no—
1074C2×#126—131no—
1075C2×#125—131no—
1076C2×#125—131no—
1077C2×#125—131no—
1078C2×#125—131no—
1079C2×#124—131no—
1080C2×#124—131no—
1081C2×#124—131no—
1082C2×#124—131no—
1083C2×#124—131no—
1084C2×#124C2×D1311yescharacteristic, complemented
1085#525—1316no—
1086C2×#123—131no—
1087C2×#123—131no—
1088C2×#123—131no—
1089C2×#123—131no—
1090C2×#123—131no—
1091C2×#123—131no—
1092C2×#123—131no—
1093C2×#123—131no—
1094C2×#123—131no—
1095C2×#123—131no—
1096C2×#123—131no—
1097C2×#123—131no—
1098C2×#123—131no—
1099C2×#123—131no—
1100C2×#123—131no—
1101C2×#123—131no—
1102C2×#123—131no—
1103C2×#123—131no—
1104C2×#123—131no—
1105C2×#123—131no—
1106C2×#123—131no—
1107C2×#123—131no—
1108C2×#123—131no—
1109C2×#123—131no—
1110C2×#123—131no—
1111C2×#123—131no—
1112C2×#123—1316no—
1113C2×#123C2×D1311yescharacteristic, complemented
1114C2×#123C2×D1311yescharacteristic, complemented
1115C2×C22⋊Q8—131no—
1116C2×C22⋊Q8—131no—
1117C2×C22⋊Q8—131no—
1118C2×C22⋊Q8—131no—
1119C2×C22⋊Q8—131no—
1120C2×C22⋊Q8—131no—
1121C2×C22⋊Q8—131no—
1122C2×C22⋊Q8—131no—
1123C2×C22⋊Q8—131no—
1124C2×C22⋊Q8—131no—
1125C2×C22⋊Q8—131no—
1126C2×C22⋊Q8C2×D1311yescharacteristic, complemented
1127C2×#121—131no—
1128C2×#121—131no—
1129C2×#121—131no—
1130C2×#121—131no—
1131C2×#121—131no—
1132C2×#121—131no—
1133C2×#121—131no—
1134C2×#121—131no—
1135C2×#121—131no—
1136C2×#121—131no—
1137C2×#121—131no—
1138C2×#121—131no—
1139C2×#121—131no—
1140C2×#121—131no—
1141C2×#121—131no—
1142C2×#121—131no—
1143C2×#121—131no—
1144C2×#121—131no—
1145C2×#121—131no—
1146C2×#121—1316no—
1147C2×#121—131no—
1148C2×#121—131no—
1149C2×#121—131no—
1150C2×#121—131no—
1151C2×#121—131no—
1152C2×#121—131no—
1153C2×#121—131no—
1154C2×#121—131no—
1155C2×#121—131no—
1156C2×#121—131no—
1157C2×#121—131no—
1158C2×#121—131no—
1159C2×#121—131no—
1160C2×#121—131no—
1161C2×#121C2×D1311yescharacteristic, complemented
1162C2×#121C2×D1311yescharacteristic, complemented
1163C2×#121C2×D1311yescharacteristic, complemented
1164C2×#120—131no—
1165C2×#120—131no—
1166C2×#120—131no—
1167C2×#120—131no—
1168C2×#120—131no—
1169C2×#120—131no—
1170C2×#120—131no—
1171C2×#120—131no—
1172C2×#120—131no—
1173C2×#120—131no—
1174C2×#120—131no—
1175C2×#120—131no—
1176C2×#120—131no—
1177C2×#120—131no—
1178C2×#120C2×D1311yescharacteristic, complemented
1179C2×#120C2×D1311yescharacteristic, complemented
1180C2×C4×D4—131no—
1181C2×C4×D4—131no—
1182C2×C4×D4—131no—
1183C2×C4×D4—131no—
1184C2×C4×D4—131no—
1185C2×C4×D4—131no—
1186C2×C4×D4—131no—
1187C2×C4×D4—131no—
1188C2×C4×D4—131no—
1189C2×C4×D4—131no—
1190C2×C4×D4—131no—
1191C2×C4×D4—131no—
1192C2×C4×D4—131no—
1193C2×C4×D4—131no—
1194C2×C4×D4C2×D1311yescharacteristic, complemented
1195C2×C4×D4C2×D1311yescharacteristic, complemented
1196C2×#117—131no—
1197C2×#117—131no—
1198C2×#117—131no—
1199C22×C4⋊C4—131no—
1200C22×C4⋊C4—131no—
1201C22×C4⋊C4—131no—
1202C22×C22⋊C4—131no—
1203C22×C22⋊C4—131no—
1204C22×C22⋊C4—131no—
1205C22×C22⋊C4—131no—
1206C22×C22⋊C4—131no—
1207C22×C22⋊C4—131no—
1208C22×C22⋊C4—131no—
1209C22×C22⋊C4C2×D1311yescharacteristic, complemented
1210C22×C22⋊C4C2×D1311yescharacteristic, complemented
1211C22×C13—22no—
1212C22×C13—22no—
1213C22×C13—22no—
1214C22×C13—22no—
1215C22×C13—28no—
1216C22×C13—28no—
1217C22×C13—22no—
1218C22×C13—22no—
1219C22×C13—22no—
1220C22×C13—22no—
1221C22×C13—22no—
1222C22×C13—22no—
1223C22×C13—22no—
1224C22×C13—22no—
1225C22×C13—22no—
1226C22×C13—22no—
1227C22×C13—22no—
1228C22×C13—22no—
1229C22×C13—416no—
1230C22×C13—44no—
1231C22×C13—44no—
1232C22×C13—44no—
1233C22×C13—44no—
1234C22×C13—88no—
1235C22×C13C2×H(5,𝔽2)14yes—
1236C22×C13C2×H(5,𝔽2)12yes—
1237C22×C13C2×H(5,𝔽2)14yes—
1238C22×C13C2×H(5,𝔽2)12yes—
1239C22×C13#58512yes—
1240C22×C13C2611yescharacteristic
1241C2×D13—22no—
1242C2×D13—22no—
1243C2×D13—22no—
1244C2×D13—22no—
1245C2×D13—22no—
1246C2×D13—22no—
1247C2×D13—22no—
1248C2×D13—22no—
1249C2×D13—22no—
1250C2×D13—22no—
1251C2×D13—22no—
1252C2×D13—22no—
1253C2×D13—22no—
1254C2×D13—22no—
1255C2×D13—22no—
1256C2×D13—44no—
1257C2×D13—44no—
1258C2×D13—44no—
1259C2×D13—44no—
1260C2×D13—44no—
1261C2×D13—88no—
1262C2×D13—88no—
1263C2×D13—88no—
1264C2×D13—88no—
1265C4×C13—22no—
1266C4×C13—22no—
1267C4×C13—22no—
1268C4×C13—22no—
1269C4×C13—22no—
1270C4×C13—22no—
1271C4×C13—22no—
1272C4×C13—22no—
1273C4×C13—22no—
1274Dic13—22no—
1275Dic13—22no—
1276Dic13—22no—
1277Dic13—22no—
1278Dic13—22no—
1279Dic13—22no—
1280Dic13—22no—
1281Dic13—22no—
1282Dic13—22no—
1283Dic13—22no—
1284Dic13—22no—
1285C25—131no—
1286C25—131no—
1287C25—131no—
1288C25—131no—
1289C25C22×D1311yescharacteristic
1290C25C22×D1311yescharacteristic
1291C2×#41—44no—
1292C2×#41—138no—
1293C2×#41—138no—
1294C2×#41—524no—
1295C2×#41—524no—
1296C2×#41C22×D1318yescomplemented
1297C22×Q8—131no—
1298C22×Q8—131no—
1299C22×Q8C22×D1311yescharacteristic
1300C22×D4—44no—
1301C22×D4—131no—
1302C22×D4—131no—
1303C22×D4—131no—
1304C22×D4—131no—
1305C22×D4—131no—
1306C22×D4—131no—
1307C22×D4—131no—
1308C22×D4—131no—
1309C22×D4—131no—
1310C22×D4—131no—
1311C22×D4—131no—
1312C22×D4—131no—
1313C22×D4—131no—
1314C22×D4—131no—
1315C22×D4—131no—
1316C22×D4—131no—
1317C22×D4—131no—
1318C22×D4—131no—
1319C22×D4—131no—
1320C22×D4—131no—
1321C22×D4—131no—
1322C22×D4—131no—
1323C22×D4—138no—
1324C22×D4—138no—
1325C22×D4—138no—
1326C22×D4—138no—
1327C22×D4—138no—
1328C22×D4—138no—
1329C22×D4—138no—
1330C22×D4—131no—
1331C22×D4—131no—
1332C22×D4—131no—
1333C22×D4—131no—
1334C22×D4—131no—
1335C22×D4—131no—
1336C22×D4—524no—
1337C22×D4—524no—
1338C22×D4—524no—
1339C22×D4—524no—
1340C22×D4—524no—
1341C22×D4—524no—
1342C22×D4—524no—
1343C22×D4C22×D1311yescharacteristic
1344C22×D4C22×D1311yescharacteristic
1345C22×D4C22×D1311yescharacteristic
1346C22×D4C22×D1311yescharacteristic
1347C22×D4C22×D1311yescharacteristic
1348C22×D4C22×D1311yescharacteristic
1349C22×D4C22×D1311yescharacteristic
1350C22×D4C22×D1311yescharacteristic
1351C22×D4C22×D1311yescharacteristic
1352C22×D4C22×D1318yescomplemented
1353C23×C4—131no—
1354C23×C4—131no—
1355C23×C4—131no—
1356C23×C4—131no—
1357C23×C4—131no—
1358C23×C4—131no—
1359C23×C4—131no—
1360C23×C4—131no—
1361C23×C4—131no—
1362C23×C4—131no—
1363C23×C4—138no—
1364C23×C4—131no—
1365C23×C4—131no—
1366C23×C4—131no—
1367C23×C4—131no—
1368C23×C4—131no—
1369C23×C4—131no—
1370C23×C4—131no—
1371C23×C4—524no—
1372C23×C4C22×D1311yescharacteristic
1373C23×C4C22×D1311yescharacteristic
1374C23×C4C22×D1311yescharacteristic
1375C23×C4C22×D1311yescharacteristic
1376C23×C4C22×D1311yescharacteristic
1377C23×C4C22×D1311yescharacteristic
1378#127—138no—
1379#127—138no—
1380#126—138no—
1381#126—138no—
1382#126—138no—
1383#126—138no—
1384#126—138no—
1385#126—138no—
1386#126—138no—
1387#126—138no—
1388#125—138no—
1389#125—138no—
1390#125—138no—
1391#125—138no—
1392#124—138no—
1393#124—138no—
1394#124—138no—
1395#124—138no—
1396#124—138no—
1397#124C22×D1318yescomplemented
1398#123—138no—
1399#123—138no—
1400#123—138no—
1401#123—138no—
1402#123—138no—
1403#123—138no—
1404#123—138no—
1405#123—138no—
1406#123—138no—
1407#123—138no—
1408#123—138no—
1409#123—138no—
1410#123—138no—
1411#123—138no—
1412#123—138no—
1413#123—138no—
1414#123—138no—
1415#123—138no—
1416#123—138no—
1417#123—138no—
1418#123—138no—
1419#123—138no—
1420#123—138no—
1421#123—138no—
1422#123—138no—
1423#123—138no—
1424#123C22×D1318yescomplemented
1425#123C22×D1318yescomplemented
1426C22⋊Q8—138no—
1427C22⋊Q8—138no—
1428C22⋊Q8—138no—
1429C22⋊Q8—138no—
1430C22⋊Q8—138no—
1431C22⋊Q8—138no—
1432C22⋊Q8—138no—
1433C22⋊Q8—138no—
1434C22⋊Q8—138no—
1435C22⋊Q8—138no—
1436C22⋊Q8—138no—
1437C22⋊Q8C22×D1318yescomplemented
1438#121—138no—
1439#121—138no—
1440#121—138no—
1441#121—138no—
1442#121—138no—
1443#121—138no—
1444#121—138no—
1445#121—138no—
1446#121—138no—
1447#121—138no—
1448#121—138no—
1449#121—138no—
1450#121—138no—
1451#121—138no—
1452#121—138no—
1453#121—138no—
1454#121—138no—
1455#121—138no—
1456#121—138no—
1457#121—138no—
1458#121—138no—
1459#121—138no—
1460#121—138no—
1461#121—138no—
1462#121—138no—
1463#121—138no—
1464#121—138no—
1465#121—138no—
1466#121—138no—
1467#121—138no—
1468#121—138no—
1469#121—138no—
1470#121—138no—
1471#121C22×D1318yescomplemented
1472#121C22×D1318yescomplemented
1473#121C22×D1318yescomplemented
1474#120—138no—
1475#120—138no—
1476#120—138no—
1477#120—138no—
1478#120—138no—
1479#120—138no—
1480#120—138no—
1481#120—138no—
1482#120—138no—
1483#120—138no—
1484#120—138no—
1485#120—138no—
1486#120—138no—
1487#120—138no—
1488#120C22×D1318yescomplemented
1489#120C22×D1318yescomplemented
1490C4×D4—138no—
1491C4×D4—138no—
1492C4×D4—138no—
1493C4×D4—138no—
1494C4×D4—138no—
1495C4×D4—138no—
1496C4×D4—138no—
1497C4×D4—138no—
1498C4×D4—138no—
1499C4×D4—138no—
1500C4×D4—138no—
1501C4×D4—138no—
1502C4×D4—138no—
1503C4×D4—138no—
1504C4×D4C22×D1318yescomplemented
1505C4×D4C22×D1318yescomplemented
1506#117—138no—
1507#117—138no—
1508#117—138no—
1509C2×C4⋊C4—131no—
1510C2×C4⋊C4—131no—
1511C2×C4⋊C4—131no—
1512C2×C4⋊C4—131no—
1513C2×C4⋊C4—131no—
1514C2×C4⋊C4—131no—
1515C2×C4⋊C4—138no—
1516C2×C4⋊C4—131no—
1517C2×C4⋊C4—131no—
1518C2×C4⋊C4—131no—
1519C2×C4⋊C4—131no—
1520C2×C4⋊C4—131no—
1521C2×C4⋊C4—131no—
1522C2×C4⋊C4—138no—
1523C2×C4⋊C4—138no—
1524C2×C4⋊C4—131no—
1525C2×C4⋊C4—131no—
1526C2×C4⋊C4—131no—
1527C2×C4⋊C4—131no—
1528C2×C4⋊C4—131no—
1529C2×C4⋊C4—131no—
1530C2×C4⋊C4—131no—
1531C2×C4⋊C4—131no—
1532C2×C4⋊C4—131no—
1533C2×C4⋊C4—131no—
1534C2×C4⋊C4—131no—
1535C2×C4⋊C4—131no—
1536C2×C4⋊C4—131no—
1537C2×C4⋊C4—131no—
1538C2×C4⋊C4C22×D1311yescharacteristic
1539C2×C4⋊C4C22×D1311yescharacteristic
1540C2×C4⋊C4C22×D1311yescharacteristic
1541C2×C4⋊C4C22×D1311yescharacteristic
1542C2×C22⋊C4—131no—
1543C2×C22⋊C4—131no—
1544C2×C22⋊C4—131no—
1545C2×C22⋊C4—131no—
1546C2×C22⋊C4—131no—
1547C2×C22⋊C4—138no—
1548C2×C22⋊C4—131no—
1549C2×C22⋊C4—131no—
1550C2×C22⋊C4—131no—
1551C2×C22⋊C4—131no—
1552C2×C22⋊C4—131no—
1553C2×C22⋊C4—131no—
1554C2×C22⋊C4—131no—
1555C2×C22⋊C4—131no—
1556C2×C22⋊C4—131no—
1557C2×C22⋊C4—131no—
1558C2×C22⋊C4—131no—
1559C2×C22⋊C4—131no—
1560C2×C22⋊C4—131no—
1561C2×C22⋊C4—131no—
1562C2×C22⋊C4—131no—
1563C2×C22⋊C4—131no—
1564C2×C22⋊C4—131no—
1565C2×C22⋊C4—131no—
1566C2×C22⋊C4—131no—
1567C2×C22⋊C4—131no—
1568C2×C22⋊C4—131no—
1569C2×C22⋊C4—131no—
1570C2×C22⋊C4—131no—
1571C2×C22⋊C4—131no—
1572C2×C22⋊C4—138no—
1573C2×C22⋊C4—138no—
1574C2×C22⋊C4—138no—
1575C2×C22⋊C4—138no—
1576C2×C22⋊C4—131no—
1577C2×C22⋊C4—131no—
1578C2×C22⋊C4—131no—
1579C2×C22⋊C4—131no—
1580C2×C22⋊C4—131no—
1581C2×C22⋊C4—131no—
1582C2×C22⋊C4—131no—
1583C2×C22⋊C4—131no—
1584C2×C22⋊C4—131no—
1585C2×C22⋊C4—138no—
1586C2×C22⋊C4—138no—
1587C2×C22⋊C4C22×D1311yescharacteristic
1588C2×C22⋊C4C22×D1311yescharacteristic
1589C2×C22⋊C4C22×D1311yescharacteristic
1590C2×C22⋊C4C22×D1311yescharacteristic
1591C2×C22⋊C4C22×D1311yescharacteristic
1592C2×C22⋊C4C22×D1311yescharacteristic
1593C2×C22⋊C4C22×D1311yescharacteristic
1594C2×C22⋊C4C22×D1311yescharacteristic
1595C2×C22⋊C4C22×D1311yescharacteristic
1596C2×C22⋊C4C22×D1311yescharacteristic
1597C2×C22⋊C4C22×D1311yescharacteristic
1598C2×C22⋊C4C22×D1311yescharacteristic
1599C2×C22⋊C4C22×D1318yescomplemented
1600C2×C22⋊C4C22×D1318yescomplemented
1601C2×C42—131no—
1602C2×C42—131no—
1603C2×C42—131no—
1604C2×C42—131no—
1605C2×C42—131no—
1606C2×C42C22×D1311yescharacteristic
1607C2×C13—24no—
1608C2×C13—24no—
1609C2×C13—42no—
1610C2×C13—42no—
1611C2×C13—42no—
1612C2×C13—42no—
1613C2×C13#353414yescomplemented
1614C2×C13C22×H(5,𝔽2)11yescharacteristic
1615C2×C13C22×H(5,𝔽2)11yescharacteristic
1616C2×C13C2×#58511yescharacteristic
1617D13—42no—
1618D13—42no—
1619D13—42no—
1620D13—42no—
1621D13—42no—
1622C24—24no—
1623C24—24no—
1624C24—24no—
1625C24—42no—
1626C24—42no—
1627C24—42no—
1628C24—131no—
1629C24—131no—
1630C24—131no—
1631C24—131no—
1632C24—131no—
1633C24—134no—
1634C24—134no—
1635C24—134no—
1636C24—134no—
1637C24—264no—
1638C24—264no—
1639C24—522no—
1640C24—522no—
1641C24—522no—
1642C24—522no—
1643C24—522no—
1644C24—522no—
1645C24—522no—
1646C24—522no—
1647C24—522no—
1648C24—522no—
1649C24C23×D1311yescharacteristic
1650C24C23×D1311yescharacteristic
1651C24C23×D1311yescharacteristic
1652C24C23×D1311yescharacteristic
1653C24C23×D1314yes—
1654C24C23×D1311yescharacteristic
1655C24C23×D1311yescharacteristic
1656C24C23×D1314yes—
1657#41—416no—
1658#41—5216no—
1659#41—5216no—
1660C2×Q8—42no—
1661C2×Q8—134no—
1662C2×Q8—134no—
1663C2×Q8—522no—
1664C2×Q8—522no—
1665C2×Q8C23×D1314yes—
1666C2×D4—24no—
1667C2×D4—24no—
1668C2×D4—24no—
1669C2×D4—24no—
1670C2×D4—42no—
1671C2×D4—42no—
1672C2×D4—42no—
1673C2×D4—42no—
1674C2×D4—42no—
1675C2×D4—416no—
1676C2×D4—134no—
1677C2×D4—134no—
1678C2×D4—134no—
1679C2×D4—134no—
1680C2×D4—134no—
1681C2×D4—134no—
1682C2×D4—134no—
1683C2×D4—134no—
1684C2×D4—134no—
1685C2×D4—134no—
1686C2×D4—134no—
1687C2×D4—134no—
1688C2×D4—134no—
1689C2×D4—134no—
1690C2×D4—134no—
1691C2×D4—134no—
1692C2×D4—134no—
1693C2×D4—134no—
1694C2×D4—134no—
1695C2×D4—134no—
1696C2×D4—134no—
1697C2×D4—134no—
1698C2×D4—134no—
1699C2×D4—134no—
1700C2×D4—134no—
1701C2×D4—134no—
1702C2×D4—134no—
1703C2×D4—134no—
1704C2×D4—264no—
1705C2×D4—264no—
1706C2×D4—264no—
1707C2×D4—264no—
1708C2×D4—264no—
1709C2×D4—264no—
1710C2×D4—522no—
1711C2×D4—522no—
1712C2×D4—522no—
1713C2×D4—522no—
1714C2×D4—522no—
1715C2×D4—522no—
1716C2×D4—522no—
1717C2×D4—522no—
1718C2×D4—522no—
1719C2×D4—522no—
1720C2×D4—522no—
1721C2×D4—522no—
1722C2×D4—522no—
1723C2×D4—522no—
1724C2×D4—5216no—
1725C2×D4—522no—
1726C2×D4—522no—
1727C2×D4—522no—
1728C2×D4—522no—
1729C2×D4—522no—
1730C2×D4—522no—
1731C2×D4—522no—
1732C2×D4—522no—
1733C2×D4—5216no—
1734C2×D4—5216no—
1735C2×D4—5216no—
1736C2×D4—5216no—
1737C2×D4—5216no—
1738C2×D4—5216no—
1739C2×D4C23×D1314yes—
1740C2×D4C23×D1314yes—
1741C2×D4C23×D1314yes—
1742C2×D4C23×D1314yes—
1743C2×D4C23×D1314yes—
1744C2×D4C23×D1314yes—
1745C2×D4C23×D1314yes—
1746C2×D4C23×D1314yes—
1747C2×D4C23×D1314yes—
1748C22×C4—24no—
1749C22×C4—42no—
1750C22×C4—42no—
1751C22×C4—42no—
1752C22×C4—42no—
1753C22×C4—42no—
1754C22×C4—134no—
1755C22×C4—134no—
1756C22×C4—131no—
1757C22×C4—131no—
1758C22×C4—131no—
1759C22×C4—131no—
1760C22×C4—131no—
1761C22×C4—131no—
1762C22×C4—131no—
1763C22×C4—131no—
1764C22×C4—131no—
1765C22×C4—131no—
1766C22×C4—131no—
1767C22×C4—134no—
1768C22×C4—134no—
1769C22×C4—134no—
1770C22×C4—134no—
1771C22×C4—134no—
1772C22×C4—134no—
1773C22×C4—134no—
1774C22×C4—134no—
1775C22×C4—134no—
1776C22×C4—134no—
1777C22×C4—134no—
1778C22×C4—134no—
1779C22×C4—134no—
1780C22×C4—134no—
1781C22×C4—134no—
1782C22×C4—264no—
1783C22×C4—264no—
1784C22×C4—522no—
1785C22×C4—522no—
1786C22×C4—522no—
1787C22×C4—522no—
1788C22×C4—522no—
1789C22×C4—522no—
1790C22×C4—522no—
1791C22×C4—522no—
1792C22×C4—522no—
1793C22×C4—522no—
1794C22×C4—522no—
1795C22×C4—5216no—
1796C22×C4—522no—
1797C22×C4—522no—
1798C22×C4—522no—
1799C22×C4—522no—
1800C22×C4C23×D1314yes—
1801C22×C4C23×D1311yescharacteristic
1802C22×C4C23×D1311yescharacteristic
1803C22×C4C23×D1311yescharacteristic
1804C22×C4C23×D1311yescharacteristic
1805C22×C4C23×D1311yescharacteristic
1806C22×C4C23×D1311yescharacteristic
1807C22×C4C23×D1311yescharacteristic
1808C22×C4C23×D1311yescharacteristic
1809C22×C4C23×D1311yescharacteristic
1810C22×C4C23×D1314yes—
1811C22×C4C23×D1314yes—
1812C22×C4C23×D1314yes—
1813C22×C4C23×D1314yes—
1814C22×C4C23×D1314yes—
1815C4⋊C4—134no—
1816C4⋊C4—134no—
1817C4⋊C4—134no—
1818C4⋊C4—134no—
1819C4⋊C4—134no—
1820C4⋊C4—134no—
1821C4⋊C4—134no—
1822C4⋊C4—134no—
1823C4⋊C4—134no—
1824C4⋊C4—134no—
1825C4⋊C4—134no—
1826C4⋊C4—134no—
1827C4⋊C4—134no—
1828C4⋊C4—134no—
1829C4⋊C4—134no—
1830C4⋊C4—134no—
1831C4⋊C4—134no—
1832C4⋊C4—134no—
1833C4⋊C4—134no—
1834C4⋊C4—134no—
1835C4⋊C4—134no—
1836C4⋊C4—134no—
1837C4⋊C4—134no—
1838C4⋊C4—134no—
1839C4⋊C4—134no—
1840C4⋊C4—134no—
1841C4⋊C4C23×D1314yes—
1842C4⋊C4C23×D1314yes—
1843C4⋊C4C23×D1314yes—
1844C4⋊C4C23×D1314yes—
1845C22⋊C4—134no—
1846C22⋊C4—134no—
1847C22⋊C4—134no—
1848C22⋊C4—134no—
1849C22⋊C4—134no—
1850C22⋊C4—134no—
1851C22⋊C4—134no—
1852C22⋊C4—134no—
1853C22⋊C4—134no—
1854C22⋊C4—134no—
1855C22⋊C4—134no—
1856C22⋊C4—134no—
1857C22⋊C4—134no—
1858C22⋊C4—134no—
1859C22⋊C4—134no—
1860C22⋊C4—134no—
1861C22⋊C4—134no—
1862C22⋊C4—134no—
1863C22⋊C4—134no—
1864C22⋊C4—134no—
1865C22⋊C4—134no—
1866C22⋊C4—134no—
1867C22⋊C4—134no—
1868C22⋊C4—134no—
1869C22⋊C4—134no—
1870C22⋊C4—134no—
1871C22⋊C4—134no—
1872C22⋊C4—134no—
1873C22⋊C4—134no—
1874C22⋊C4—134no—
1875C22⋊C4—134no—
1876C22⋊C4—134no—
1877C22⋊C4—134no—
1878C22⋊C4—134no—
1879C22⋊C4—134no—
1880C22⋊C4—134no—
1881C22⋊C4—134no—
1882C22⋊C4—134no—
1883C22⋊C4C23×D1314yes—
1884C22⋊C4C23×D1314yes—
1885C22⋊C4C23×D1314yes—
1886C22⋊C4C23×D1314yes—
1887C22⋊C4C23×D1314yes—
1888C22⋊C4C23×D1314yes—
1889C22⋊C4C23×D1314yes—
1890C22⋊C4C23×D1314yes—
1891C22⋊C4C23×D1314yes—
1892C22⋊C4C23×D1314yes—
1893C22⋊C4C23×D1314yes—
1894C22⋊C4C23×D1314yes—
1895C42—134no—
1896C42—134no—
1897C42—134no—
1898C42—134no—
1899C42—134no—
1900C42C23×D1314yes—
1901C13C2×#353411yescharacteristic, complemented, Sylow
1902C23—22no—
1903C23—22no—
1904C23—22no—
1905C23—22no—
1906C23—22no—
1907C23—22no—
1908C23—22no—
1909C23—28no—
1910C23—22no—
1911C23—28no—
1912C23—22no—
1913C23—22no—
1914C23—22no—
1915C23—22no—
1916C23—22no—
1917C23—22no—
1918C23—22no—
1919C23—22no—
1920C23—28no—
1921C23—44no—
1922C23—44no—
1923C23—44no—
1924C23—416no—
1925C23—88no—
1926C23—132no—
1927C23—132no—
1928C23—132no—
1929C23—132no—
1930C23—132no—
1931C23—262no—
1932C23—262no—
1933C23—262no—
1934C23—262no—
1935C23—262no—
1936C23—262no—
1937C23—262no—
1938C23—262no—
1939C23—262no—
1940C23—262no—
1941C23—262no—
1942C23—262no—
1943C23—262no—
1944C23—262no—
1945C23—262no—
1946C23—268no—
1947C23—268no—
1948C23—524no—
1949C23—524no—
1950C23—524no—
1951C23—524no—
1952C23—524no—
1953C23—524no—
1954C23—524no—
1955C23—524no—
1956C23—524no—
1957C23—524no—
1958C23—1048no—
1959C23—1048no—
1960C23—1048no—
1961C23—1048no—
1962C23#8825114yes—
1963C23#8825614yes—
1964C23C24×D1312yes—
1965C23C24×D1312yes—
1966C23C24×D1312yes—
1967C23C24×D1312yes—
1968C23C24×D1312yes—
1969C23C24×D1312yes—
1970C23C24×D1311yescharacteristic
1971Q8—44no—
1972Q8—524no—
1973Q8—524no—
1974D4—28no—
1975D4—28no—
1976D4—28no—
1977D4—28no—
1978D4—44no—
1979D4—44no—
1980D4—44no—
1981D4—44no—
1982D4—44no—
1983D4—268no—
1984D4—268no—
1985D4—268no—
1986D4—268no—
1987D4—268no—
1988D4—268no—
1989D4—524no—
1990D4—524no—
1991D4—524no—
1992D4—524no—
1993D4—524no—
1994D4—524no—
1995D4—524no—
1996D4—524no—
1997D4—524no—
1998D4—524no—
1999D4—524no—
2000D4—524no—
2001D4—524no—
2002D4—524no—
2003D4—524no—
2004D4—524no—
2005D4—524no—
2006D4—524no—
2007D4—524no—
2008D4—524no—
2009D4—524no—
2010D4—524no—
2011C2×C4—22no—
2012C2×C4—22no—
2013C2×C4—28no—
2014C2×C4—22no—
2015C2×C4—22no—
2016C2×C4—22no—
2017C2×C4—22no—
2018C2×C4—22no—
2019C2×C4—22no—
2020C2×C4—22no—
2021C2×C4—44no—
2022C2×C4—44no—
2023C2×C4—44no—
2024C2×C4—44no—
2025C2×C4—44no—
2026C2×C4—132no—
2027C2×C4—132no—
2028C2×C4—132no—
2029C2×C4—132no—
2030C2×C4—132no—
2031C2×C4—132no—
2032C2×C4—132no—
2033C2×C4—132no—
2034C2×C4—132no—
2035C2×C4—132no—
2036C2×C4—132no—
2037C2×C4—262no—
2038C2×C4—262no—
2039C2×C4—262no—
2040C2×C4—262no—
2041C2×C4—268no—
2042C2×C4—262no—
2043C2×C4—262no—
2044C2×C4—262no—
2045C2×C4—268no—
2046C2×C4—262no—
2047C2×C4—262no—
2048C2×C4—262no—
2049C2×C4—262no—
2050C2×C4—524no—
2051C2×C4—524no—
2052C2×C4—524no—
2053C2×C4—524no—
2054C2×C4—524no—
2055C2×C4—524no—
2056C2×C4—524no—
2057C2×C4—524no—
2058C2×C4—524no—
2059C2×C4—524no—
2060C2×C4—524no—
2061C2×C4—524no—
2062C2×C4—524no—
2063C2×C4—524no—
2064C2×C4—524no—
2065C2×C4C24×D1312yes—
2066C2×C4C24×D1312yes—
2067C2×C4C24×D1312yes—
2068C2×C4C24×D1312yes—
2069C2×C4C24×D1312yes—
2070C2×C4C24×D1312yes—
2071C2×C4C24×D1312yes—
2072C2×C4C24×D1312yes—
2073C2×C4C24×D1312yes—
2074C22—28no—
2075C22—28no—
2076C22—22no—
2077C22—22no—
2078C22—22no—
2079C22—22no—
2080C22—22no—
2081C22—22no—
2082C22—22no—
2083C22—22no—
2084C22—22no—
2085C22—22no—
2086C22—22no—
2087C22—22no—
2088C22—22no—
2089C22—22no—
2090C22—22no—
2091C22—22no—
2092C22—416no—
2093C22—44no—
2094C22—44no—
2095C22—44no—
2096C22—44no—
2097C22—88no—
2098C22—262no—
2099C22—262no—
2100C22—262no—
2101C22—262no—
2102C22—262no—
2103C22—262no—
2104C22—262no—
2105C22—262no—
2106C22—262no—
2107C22—262no—
2108C22—262no—
2109C22—262no—
2110C22—262no—
2111C22—262no—
2112C22—262no—
2113C22—524no—
2114C22—524no—
2115C22—524no—
2116C22—524no—
2117C22—524no—
2118C22—1048no—
2119C22—1048no—
2120C22—1048no—
2121C22—1048no—
2122C22C2×#8825114yes—
2123C22C2×#8825112yes—
2124C22C2×#8825614yes—
2125C22C2×#8825612yes—
2126C22#1171965012yes—
2127C22C25×D1311yescharacteristic
2128C4—22no—
2129C4—22no—
2130C4—22no—
2131C4—22no—
2132C4—22no—
2133C4—22no—
2134C4—22no—
2135C4—22no—
2136C4—22no—
2137C4—262no—
2138C4—262no—
2139C4—262no—
2140C4—262no—
2141C4—262no—
2142C4—262no—
2143C4—262no—
2144C4—262no—
2145C4—262no—
2146C4—262no—
2147C4—262no—
2148C2—24no—
2149C2—24no—
2150C2—42no—
2151C2—42no—
2152C2—42no—
2153C2—42no—
2154C2—522no—
2155C2—522no—
2156C2—522no—
2157C2—522no—
2158C2—522no—
2159C2#1312902214yesdirect product factor
2160C2C22×#8825111yescharacteristic
2161C2C22×#8825611yescharacteristic
2162C2C2×#1171965011yescharacteristic
subgroupG/H
centerC23C24×D13
commutator, cosocleC22×C13C26
FrattiniC22C25×D13
FittingC2×C13×#546C2
socleC23×C13C25
hypercenterC2×#546D13
hypocenterC13C2×#3534
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C23 ◁ C2×#546

Complements

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

NH ≅ G/Ntype
1. #13129022C2direct (N × H)
2. C2×#11719372C2semidirect
3. C2×#11719389C2semidirect
4. C2×#11719325C2semidirect
5. C2×#11719325C2semidirect
6. C2×#11719323C2semidirect
7. C2×#11719270C2semidirect
8. C2×#11719342C2semidirect
9. C2×#11719200C2semidirect
10. C2×#11719259C2semidirect
11. C2×#11719359C2semidirect
12. C2×#11719195C2semidirect
13. C2×#11719534C2semidirect
14. C2×#11719296C2semidirect
15. C2×D4×C22⋊D13C2semidirect
16. C2×#11719295C2semidirect
17. C2×#11719324C2semidirect
18. C2×#11719368C2semidirect
19. C2×#11719350C2semidirect
20. C2×#11719370C2semidirect
21. C2×#11719269C2semidirect
22. C2×#11719322C2semidirect
23. C2×#11719383C2semidirect
24. C2×#11719265C2semidirect
25. C2×#11719538C2semidirect
26. C2×#11719198C2semidirect
27. C2×#11719294C2semidirect
28. C2×#11719310C2semidirect
29. C2×#11719291C2semidirect
30. C22×#88140C2semidirect
31. C22×#88193C2semidirect
32. C2×C13×#546C2semidirect
33. C22×C13×#41C22semidirect
34. C23×D4×C13C22semidirect
36. C23×C22⋊D13C22semidirect
37. C23×C22⋊D13C22semidirect
38. C23×C22⋊D13C22semidirect
39. C24×Dic13C22semidirect
40. C22×#6129C22semidirect
41. C22×D4×D13C22semidirect
42. C22×D4×D13C22semidirect
43. C22×D4×D13C22semidirect
44. C22×#6127C22semidirect
45. C13×#546C22semidirect
46. C2×C13×#124C22semidirect
47. C2×C13×#123C22semidirect
48. C2×C13×#123C22semidirect
49. C2×C13×C22⋊Q8C22semidirect
50. C2×C13×#121C22semidirect
51. C2×C13×#121C22semidirect
52. C2×C13×#121C22semidirect
53. C2×C13×#120C22semidirect
54. C2×C13×#120C22semidirect
55. C2×C4×D4×C13C22semidirect
56. C2×C4×D4×C13C22semidirect
57. C22×C13×C22⋊C4C22semidirect
58. C22×C13×C22⋊C4C22semidirect
60. C2×#88207C22semidirect
61. C22×C22⋊Dic13C22semidirect
62. #11719538C22semidirect
63. #11719534C22semidirect
64. C2×#88201C22semidirect
65. C2×#88200C22semidirect
66. C2×#88200C22semidirect
67. C2×#88200C22semidirect
68. C2×#88194C22semidirect
69. C2×#88194C22semidirect
72. C2×#88193C22semidirect
73. C2×#88193C22semidirect
74. C2×#88193C22semidirect
75. C2×#88193C22semidirect
76. C2×#88193C22semidirect
77. C2×#88193C22semidirect
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. D4×C22⋊D13C22semidirect
87. C2×#88192C22semidirect
88. C2×#88192C22semidirect
89. C2×#88192C22semidirect
90. C2×#88192C22semidirect
91. C2×#88191C22semidirect
92. C2×#88191C22semidirect
93. C2×#88191C22semidirect
94. C2×#88191C22semidirect
95. C2×#88191C22semidirect
96. C2×#88191C22semidirect
97. C2×#88189C22semidirect
98. C2×D4×Dic13C22semidirect
99. C2×D4×Dic13C22semidirect
100. C2×D4×Dic13C22semidirect
101. C2×D4×Dic13C22semidirect
103. C2×#88184C22semidirect
104. C2×#88184C22semidirect
105. C2×#88184C22semidirect
106. C2×#88184C22semidirect
107. C2×#88184C22semidirect
108. C2×#88184C22semidirect
109. C2×#88183C22semidirect
110. C2×#88183C22semidirect
111. C2×#88183C22semidirect
112. C2×C4×C22⋊D13C22semidirect
113. C2×C4×C22⋊D13C22semidirect
114. C2×C4×C22⋊D13C22semidirect
115. C22×#6103C22semidirect
116. C22×#6103C22semidirect
117. C22×#6103C22semidirect
118. C22×#6103C22semidirect
119. C2×#88180C22semidirect
120. C22×C4⋊Dic13C22semidirect
121. C22×C4⋊Dic13C22semidirect
122. C2×#88178C22semidirect
123. C2×#88178C22semidirect
124. C22×#6101C22semidirect
125. #11719389C22semidirect
126. #11719383C22semidirect
127. #11719372C22semidirect
128. #11719370C22semidirect
129. #11719368C22semidirect
130. #11719359C22semidirect
131. #11719350C22semidirect
132. #11719342C22semidirect
133. #11719325C22semidirect
134. #11719325C22semidirect
135. #11719324C22semidirect
136. #11719323C22semidirect
137. #11719322C22semidirect
138. #11719310C22semidirect
139. #11719296C22semidirect
140. #11719295C22semidirect
141. #11719294C22semidirect
142. #11719291C22semidirect
143. #11719270C22semidirect
144. #11719269C22semidirect
145. #11719265C22semidirect
146. #11719259C22semidirect
147. C2×#88152C22semidirect
148. C2×#88152C22semidirect
149. C2×#88152C22semidirect
150. C2×#88152C22semidirect
151. C2×#88151C22semidirect
152. C2×#88150C22semidirect
153. C2×#88149C22semidirect
154. C2×#88148C22semidirect
155. C2×#88148C22semidirect
156. C2×#88148C22semidirect
157. C2×#88148C22semidirect
158. C2×#88147C22semidirect
159. C2×#88146C22semidirect
160. C2×#88144C22semidirect
161. C2×#88144C22semidirect
162. C2×#88143C22semidirect
163. #11719200C22semidirect
164. #11719198C22semidirect
165. C2×#88140C22semidirect
166. C2×#88140C22semidirect
167. C2×#88140C22semidirect
168. C2×#88140C22semidirect
169. C2×#88140C22semidirect
170. C2×#88140C22semidirect
171. C2×#88140C22semidirect
172. C2×#88140C22semidirect
173. C2×#88140C22semidirect
174. C2×#88140C22semidirect
175. C2×#88140C22semidirect
176. C2×#88140C22semidirect
177. C2×#88140C22semidirect
178. C2×#88139C22semidirect
179. C2×#88139C22semidirect
180. C2×#88139C22semidirect
181. #11719195C22semidirect
182. C2×#88138C22semidirect
183. C2×#88138C22semidirect
184. C2×#88138C22semidirect
185. C2×#88138C22semidirect
186. C2×#88138C22semidirect
187. C2×#88138C22semidirect
188. C2×#88137C22semidirect
189. C2×#88137C22semidirect
190. C2×#88137C22semidirect
191. C2×#88137C22semidirect
192. C2×#88137C22semidirect
193. C2×#88137C22semidirect
195. C2×#88136C22semidirect
196. C2×#88136C22semidirect
197. C2×#88136C22semidirect
198. C2×#88136C22semidirect
199. C2×#88136C22semidirect
200. C2×#88135C22semidirect
201. C2×#88135C22semidirect
202. C2×#88135C22semidirect
203. C2×#88135C22semidirect
204. C2×#88135C22semidirect
205. C2×C22⋊C4×D13C22semidirect
206. C2×C22⋊C4×D13C22semidirect
207. C2×#88133C22semidirect
208. C2×#88133C22semidirect
209. C2×#88133C22semidirect
210. C2×#88132C22semidirect
211. C2×#88132C22semidirect
212. C2×#88132C22semidirect
213. C2×#88132C22semidirect
214. C2×#88131C22semidirect
215. C2×#88130C22semidirect
216. C2×#88129C22semidirect
217. C2×C4×D52C22semidirect
218. C2×#88124C22semidirect
226. C2×C13×#41C23semidirect
238. C22×D4×C13C23semidirect
272. C22×C22⋊D13C23semidirect
273. C22×C22⋊D13C23semidirect
274. C22×C22⋊D13C23semidirect
286. C23×Dic13C23semidirect
288. C2×#6129C23semidirect
292. C2×D4×D13C23semidirect
293. C2×D4×D13C23semidirect
294. C2×D4×D13C23semidirect
296. C2×#6127C23semidirect
312. C13×#124C23semidirect
313. C13×#123C23semidirect
314. C13×#123C23semidirect
315. C13×C22⋊Q8C23semidirect
316. C13×#121C23semidirect
317. C13×#121C23semidirect
318. C13×#121C23semidirect
319. C13×#120C23semidirect
320. C13×#120C23semidirect
321. C4×D4×C13C23semidirect
322. C4×D4×C13C23semidirect
339. C2×C13×C22⋊C4C23semidirect
340. C2×C13×C22⋊C4C23semidirect
343. #88207C23semidirect
356. C2×C22⋊Dic13C23semidirect
357. #88201C23semidirect
358. #88200C23semidirect
359. #88200C23semidirect
360. #88200C23semidirect
361. #88194C23semidirect
362. #88194C23semidirect
365. #88193C23semidirect
366. #88193C23semidirect
367. #88193C23semidirect
368. #88193C23semidirect
369. #88193C23semidirect
370. #88193C23semidirect
371. #88193C23semidirect
372. #88193C23semidirect
373. #88193C23semidirect
374. #88193C23semidirect
375. #88193C23semidirect
376. #88193C23semidirect
377. #88193C23semidirect
378. #88192C23semidirect
379. #88192C23semidirect
380. #88192C23semidirect
381. #88192C23semidirect
382. #88191C23semidirect
383. #88191C23semidirect
384. #88191C23semidirect
385. #88191C23semidirect
386. #88191C23semidirect
387. #88191C23semidirect
388. #88189C23semidirect
389. D4×Dic13C23semidirect
390. D4×Dic13C23semidirect
391. D4×Dic13C23semidirect
392. D4×Dic13C23semidirect
394. #88184C23semidirect
395. #88184C23semidirect
396. #88184C23semidirect
397. #88184C23semidirect
398. #88184C23semidirect
399. #88184C23semidirect
400. #88183C23semidirect
401. #88183C23semidirect
402. #88183C23semidirect
403. C4×C22⋊D13C23semidirect
404. C4×C22⋊D13C23semidirect
405. C4×C22⋊D13C23semidirect
432. C2×#6103C23semidirect
433. C2×#6103C23semidirect
434. C2×#6103C23semidirect
435. C2×#6103C23semidirect
436. #88180C23semidirect
449. C2×C4⋊Dic13C23semidirect
450. C2×C4⋊Dic13C23semidirect
451. #88178C23semidirect
452. #88178C23semidirect
467. C2×#6101C23semidirect
473. #88152C23semidirect
474. #88152C23semidirect
475. #88152C23semidirect
476. #88152C23semidirect
477. #88151C23semidirect
478. #88150C23semidirect
479. #88149C23semidirect
480. #88148C23semidirect
481. #88148C23semidirect
482. #88148C23semidirect
483. #88148C23semidirect
484. #88147C23semidirect
485. #88146C23semidirect
486. #88144C23semidirect
487. #88144C23semidirect
488. #88143C23semidirect
489. #88140C23semidirect
490. #88140C23semidirect
491. #88140C23semidirect
492. #88140C23semidirect
493. #88140C23semidirect
494. #88140C23semidirect
495. #88140C23semidirect
496. #88140C23semidirect
497. #88140C23semidirect
498. #88140C23semidirect
499. #88140C23semidirect
500. #88140C23semidirect
501. #88139C23semidirect
502. #88139C23semidirect
503. #88139C23semidirect
504. #88138C23semidirect
505. #88138C23semidirect
506. #88138C23semidirect
507. #88138C23semidirect
508. #88138C23semidirect
509. #88138C23semidirect
510. #88137C23semidirect
511. #88137C23semidirect
512. #88137C23semidirect
513. #88137C23semidirect
514. #88137C23semidirect
515. #88137C23semidirect
517. #88136C23semidirect
518. #88136C23semidirect
519. #88136C23semidirect
520. #88136C23semidirect
521. #88136C23semidirect
522. #88135C23semidirect
523. #88135C23semidirect
524. #88135C23semidirect
525. #88135C23semidirect
526. #88135C23semidirect
527. C22⋊C4×D13C23semidirect
528. C22⋊C4×D13C23semidirect
529. #88133C23semidirect
530. #88133C23semidirect
531. #88133C23semidirect
532. #88132C23semidirect
533. #88132C23semidirect
534. #88132C23semidirect
535. #88132C23semidirect
536. #88131C23semidirect
537. #88130C23semidirect
538. #88129C23semidirect
539. C4×D52C23semidirect
540. #88124C23semidirect
835. C2×#546D13semidirect
1027. C22×#41C2×D13semidirect
1035. C23×D4C2×D13semidirect
1050. #546C2×D13semidirect
1084. C2×#124C2×D13semidirect
1113. C2×#123C2×D13semidirect
1114. C2×#123C2×D13semidirect
1126. C2×C22⋊Q8C2×D13semidirect
1161. C2×#121C2×D13semidirect
1162. C2×#121C2×D13semidirect
1163. C2×#121C2×D13semidirect
1178. C2×#120C2×D13semidirect
1179. C2×#120C2×D13semidirect
1194. C2×C4×D4C2×D13semidirect
1195. C2×C4×D4C2×D13semidirect
1209. C22×C22⋊C4C2×D13semidirect
1210. C22×C22⋊C4C2×D13semidirect
1296. C2×#41C22×D13semidirect
1352. C22×D4C22×D13semidirect
1397. #124C22×D13semidirect
1424. #123C22×D13semidirect
1425. #123C22×D13semidirect
1437. C22⋊Q8C22×D13semidirect
1471. #121C22×D13semidirect
1472. #121C22×D13semidirect
1473. #121C22×D13semidirect
1488. #120C22×D13semidirect
1489. #120C22×D13semidirect
1504. C4×D4C22×D13semidirect
1505. C4×D4C22×D13semidirect
1599. C2×C22⋊C4C22×D13semidirect
1600. C2×C22⋊C4C22×D13semidirect
1613. C2×C13#3534semidirect
1901. C13C2×#3534semidirect
2159. C2#13129022direct (N × H)

Maximal subgroups

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

subgroupindex
#131290222
C2×#117193722
C2×#117193892
C2×#117193252
C2×#117193232
C2×#117192702
C2×#117193422
C2×#117192002
C2×#117192592
C2×#117193592
C2×#117191952
C2×#117195342
C2×#117192962
C2×D4×C22⋊D132
C2×#117192952
C2×#117193242
C2×#117193682
C2×#117193502
C2×#117193702
C2×#117192692
C2×#117193222
C2×#117193832
C2×#117192652
C2×#117195382
C2×#117191982
C2×#117192942
C2×#117193102
C2×#117192912
C22×#881402
C22×#881932
C2×C13×#5462
C2×#353413