Finite Group Databasebeta

← C2×#13129128 #16770081

Subgroups — C2×#13129128 #16770081

Order 3328.

7258 conjugacy classes of subgroups.

The subgroup lattice has 1960 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13129128C2132yesmaximal, direct product factor
2C2×#11719404C211yesmaximal, characteristic, complemented
3C2×#11719351C211yesmaximal, characteristic, complemented
4C2×#11719372C211yesmaximal, characteristic, complemented
5C2×#11719352C211yesmaximal, characteristic, complemented
6C2×#11719407C211yesmaximal, characteristic, complemented
7C2×#11719395C211yesmaximal, characteristic, complemented
8C2×#11719395C211yesmaximal, characteristic, complemented
9C2×#11719216C211yesmaximal, characteristic, complemented
10C2×#11719414C211yesmaximal, characteristic, complemented
11C2×#11719263C211yesmaximal, characteristic, complemented
12C2×#11719366C211yesmaximal, characteristic, complemented
13C2×#11719398C211yesmaximal, characteristic, complemented
14C2×#11719337C211yesmaximal, characteristic, complemented
15C2×#11719338C211yesmaximal, characteristic, complemented
16C2×#11719257C211yesmaximal, characteristic, complemented
17C2×#11719212C211yesmaximal, characteristic, complemented
18C2×#11719345C211yesmaximal, characteristic, complemented
19C2×#11719367C211yesmaximal, characteristic, complemented
20C2×#11719266C211yesmaximal, characteristic, complemented
21C2×#11719406C211yesmaximal, characteristic, complemented
22C2×#11719365C211yesmaximal, characteristic, complemented
23C2×#11719409C211yesmaximal, characteristic, complemented
24C2×#11719362C211yesmaximal, characteristic, complemented
25C2×#11719362C211yesmaximal, characteristic, complemented
26C2×#11719318C211yesmaximal, characteristic, complemented
27C2×#11719313C211yesmaximal, characteristic, complemented
28C2×#11719353C211yesmaximal, characteristic, complemented
29C2×#11719252C211yesmaximal, characteristic, complemented
30C2×#11719361C211yesmaximal, characteristic, complemented
31C2×D13×C22⋊Q8C211yesmaximal, characteristic, complemented
32C2×C13×#539C211yesmaximal, characteristic, complemented
33C22×Q8×D13C2211yescharacteristic
34C22×#6129C2211yescharacteristic
35C22×#6127C2211yescharacteristic
36C22×#6127C2211yescharacteristic, complemented
37C23×C4×D13C2211yescharacteristic
38C23×Dic26C2211yescharacteristic, complemented
39C13×#539C22116yescomplemented
40C2×C13×#126C2211yescharacteristic
41C2×C13×#126C2211yescharacteristic, complemented
42C2×C13×#125C2211yescharacteristic, complemented
43C2×C13×#125C2211yescharacteristic, complemented
44C2×C13×#123C2211yescharacteristic
45C2×C13×#123C2211yescharacteristic
46C2×C13×#123C2211yescharacteristic
47C2×C13×#123C2211yescharacteristic, complemented
48C2×C13×C22⋊Q8C2211yescharacteristic
49C2×C13×C22⋊Q8C2211yescharacteristic, complemented
50C2×C13×C22⋊Q8C2211yescharacteristic, complemented
51C2×C13×#121C2211yescharacteristic
52C2×C4×D4×C13C2211yescharacteristic
53C2×C4×D4×C13C2211yescharacteristic, complemented
54C22×C13×C4⋊C4C2211yescharacteristic, complemented
55C2×#88201C2211yescharacteristic, complemented
56C2×#88200C2211yescharacteristic
57C2×#88198C2211yescharacteristic, complemented
58C2×#88193C2211yescharacteristic
59C2×#88193C2211yescharacteristic
60C2×#88193C2211yescharacteristic, complemented
61C2×#88192C2211yescharacteristic
62C2×#88192C2211yescharacteristic
63C2×#88192C2211yescharacteristic
64C2×#88192C2211yescharacteristic, complemented
65C2×#88191C2211yescharacteristic
66C2×#88191C2211yescharacteristic
67C2×#88190C2211yescharacteristic
68C2×#88189C2211yescharacteristic
69C2×#88184C2211yescharacteristic
70C2×#88184C2211yescharacteristic
71C2×#88183C2211yescharacteristic
72C2×#88183C2211yescharacteristic
73C2×#88183C2211yescharacteristic, complemented
74C2×#88183C2211yescharacteristic, complemented
75C2×C4×C22⋊D13C2211yescharacteristic
76C2×C4×C22⋊D13C2211yescharacteristic
77C2×C4×C22⋊D13C2211yescharacteristic
78C2×C4×C22⋊D13C2211yescharacteristic
79C2×C4×C22⋊D13C2211yescharacteristic
80C2×C4×C22⋊D13C2211yescharacteristic, complemented
81C2×#88178C2211yescharacteristic
82C2×#88178C2211yescharacteristic, complemented
83C2×#88178C2211yescharacteristic, complemented
84C2×#88178C2211yescharacteristic, complemented
85#11719414C22116yescomplemented
86#11719409C22116yescomplemented
87#11719407C22116yescomplemented
88#11719406C22116yescomplemented
89#11719404C22116yescomplemented
90#11719398C22116yescomplemented
91#11719395C22116yescomplemented
92#11719395C22116yescomplemented
93#11719372C22116yescomplemented
94#11719367C22116yescomplemented
95#11719366C22116yescomplemented
96#11719365C22116yescomplemented
97#11719362C22116yescomplemented
98#11719362C22116yescomplemented
99#11719361C22116yescomplemented
100#11719353C22116yescomplemented
101#11719352C22116yescomplemented
102#11719351C22116yescomplemented
103#11719345C22116yescomplemented
104#11719338C22116yescomplemented
105#11719337C22116yescomplemented
106D13×C22⋊Q8C22116yescomplemented
107#11719318C22116yescomplemented
108#11719313C22116yescomplemented
109#11719266C22116yescomplemented
110#11719263C22116yescomplemented
111#11719257C22116yescomplemented
112#11719252C22116yescomplemented
113C2×#88152C2211yescharacteristic
114C2×#88152C2211yescharacteristic
115C2×#88152C2211yescharacteristic
116C2×#88152C2211yescharacteristic
117C2×#88152C2211yescharacteristic, complemented
118C2×#88152C2211yescharacteristic, complemented
119#11719216C22116yescomplemented
120C2×#88151C2211yescharacteristic
121C2×#88151C2211yescharacteristic
122C2×#88151C2211yescharacteristic
123C2×#88151C2211yescharacteristic, complemented
124C2×#88151C2211yescharacteristic, complemented
125C2×#88150C2211yescharacteristic
126C2×#88150C2211yescharacteristic
127C2×#88150C2211yescharacteristic
128C2×#88150C2211yescharacteristic
129C2×#88150C2211yescharacteristic
130C2×#88150C2211yescharacteristic
131C2×#88150C2211yescharacteristic
132C2×#88150C2211yescharacteristic, complemented
133C2×#88150C2211yescharacteristic, complemented
134C2×#88150C2211yescharacteristic, complemented
135C2×#88150C2211yescharacteristic, complemented
136C2×#88150C2211yescharacteristic, complemented
137C2×#88150C2211yescharacteristic, complemented
138#11719212C22116yescomplemented
139C2×#88149C2211yescharacteristic
140C2×#88149C2211yescharacteristic
141C2×#88148C2211yescharacteristic
142C2×#88148C2211yescharacteristic
143C2×#88148C2211yescharacteristic
144C2×#88148C2211yescharacteristic
145C2×#88148C2211yescharacteristic, complemented
146C2×#88147C2211yescharacteristic
147C2×#88147C2211yescharacteristic
148C2×#88147C2211yescharacteristic
149C2×#88147C2211yescharacteristic
150C2×#88147C2211yescharacteristic
151C2×#88146C2211yescharacteristic, complemented
152C2×C4⋊C4×D13C2211yescharacteristic
153C2×C4⋊C4×D13C2211yescharacteristic
154C2×C4⋊C4×D13C2211yescharacteristic
155C2×C4⋊C4×D13C2211yescharacteristic, complemented
156C2×C4⋊C4×D13C2211yescharacteristic, complemented
157C2×#88144C2211yescharacteristic, complemented
158C2×#88144C2211yescharacteristic, complemented
159C2×#88143C2211yescharacteristic, complemented
160C2×#88143C2211yescharacteristic, complemented
161C2×#88143C2211yescharacteristic, complemented
162C2×#88143C2211yescharacteristic, complemented
163C2×#88142C2211yescharacteristic, complemented
164C2×#88142C2211yescharacteristic, complemented
165C2×#88142C2211yescharacteristic, complemented
166C2×#88142C2211yescharacteristic, complemented
167C2×#88142C2211yescharacteristic, complemented
168C2×#88141C2211yescharacteristic, complemented
169C2×#88141C2211yescharacteristic, complemented
170C2×#88141C2211yescharacteristic, complemented
171C2×#88140C2211yescharacteristic, complemented
172C2×#88139C2211yescharacteristic
173C2×#88139C2211yescharacteristic
174C2×#88139C2211yescharacteristic
175C2×#88139C2211yescharacteristic
176C2×#88139C2211yescharacteristic
177C2×#88139C2211yescharacteristic
178C2×#88139C2211yescharacteristic, complemented
179C2×#88139C2211yescharacteristic, complemented
180C2×#88138C2211yescharacteristic
181C2×#88138C2211yescharacteristic
182C2×#88138C2211yescharacteristic
183C2×#88138C2211yescharacteristic
184C2×#88138C2211yescharacteristic
185C2×#88138C2211yescharacteristic
186C2×#88138C2211yescharacteristic, complemented
187C2×#88137C2211yescharacteristic
188C2×#88137C2211yescharacteristic
189C2×#88137C2211yescharacteristic, complemented
190C2×#88136C2211yescharacteristic
191C2×#88136C2211yescharacteristic
192C2×#88135C2211yescharacteristic
193C2×#88135C2211yescharacteristic
194C2×#88135C2211yescharacteristic
195C2×#88135C2211yescharacteristic, complemented
196C2×C22⋊C4×D13C2211yescharacteristic
197C2×C22⋊C4×D13C2211yescharacteristic
198C2×#88133C2211yescharacteristic
199C2×#88133C2211yescharacteristic
200C2×#88133C2211yescharacteristic
201C2×#88133C2211yescharacteristic, complemented
202C2×#88133C2211yescharacteristic, complemented
203C2×#88133C2211yescharacteristic, complemented
204C2×#88132C2211yescharacteristic
205C2×#88132C2211yescharacteristic
206C2×#88132C2211yescharacteristic
207C2×#88132C2211yescharacteristic, complemented
208C2×#88132C2211yescharacteristic, complemented
209C2×#88131C2211yescharacteristic
210C2×#88131C2211yescharacteristic, complemented
211C2×#88129C2211yescharacteristic
212C2×C4×D52C2211yescharacteristic
213C2×C4×D52C2211yescharacteristic
214C2×#88126C2211yescharacteristic
215C2×#88126C2211yescharacteristic, complemented
216C2×#88124C2211yescharacteristic, complemented
217C2×C4×Dic26C2211yescharacteristic, complemented
218C2×C4×Dic26C2211yescharacteristic, complemented
219C24×D13C2311yescharacteristic
220C22×Q8×C13C2311yescharacteristic
221C22×D4×C13C2311yescharacteristic
222C22×D4×C13C2311yescharacteristic
223C22×D4×C13C2311yescharacteristic
224C23×C4×C13C2311yescharacteristic
225C23×C4×C13C2311yescharacteristic
226C23×C4×C13C2311yescharacteristic
227C23×C4×C13C2311yescharacteristic
228C23×C4×C13C2311yescharacteristic
229C22×C22⋊D13C2311yescharacteristic
230C22×C22⋊D13C2311yescharacteristic
231C22×C22⋊D13C2311yescharacteristic
232C22×C22⋊D13C2311yescharacteristic
233C22×C22⋊D13C2311yescharacteristic
234C22×C22⋊D13C2311yescharacteristic
235C22×C22⋊D13C2311yescharacteristic
236C22×C22⋊D13C2311yescharacteristic
237C22×C22⋊D13C2311yescharacteristic
238C22×C22⋊D13C2311yescharacteristic
239C23×Dic13C2311yescharacteristic
240C23×Dic13C2311yescharacteristic
241C23×Dic13C2311yescharacteristic
242C2×Q8×D13—44no—
243C2×Q8×D13C2318yes—
244C2×#6129—44no—
245C2×#6129C2318yes—
246C2×#6127—44no—
247C2×#6127—44no—
248C2×#6127C2318yes—
249C2×#6127C2318yescomplemented
250C22×D52C2311yescharacteristic
251C22×D52C2311yescharacteristic
252C22×D52C2311yescharacteristic
253C22×D52C2311yescharacteristic
254C22×D52C2311yescharacteristic
255C22×C4×D13—44no—
256C22×C4×D13C2311yescharacteristic
257C22×C4×D13C2311yescharacteristic
258C22×C4×D13C2311yescharacteristic
259C22×C4×D13C2311yescharacteristic
260C22×C4×D13C2311yescharacteristic
261C22×C4×D13C2311yescharacteristic
262C22×C4×D13C2311yescharacteristic
263C22×C4×D13C2311yescharacteristic
264C22×C4×D13C2311yescharacteristic
265C22×C4×D13C2311yescharacteristic
266C22×C4×D13C2311yescharacteristic
267C22×C4×D13C2311yescharacteristic
268C22×C4×D13C2311yescharacteristic
269C22×C4×D13C2311yescharacteristic
270C22×C4×D13C2318yes—
271C22×Dic26—44no—
272C22×Dic26C2311yescharacteristic
273C22×Dic26C2311yescharacteristic
274C22×Dic26C2311yescharacteristic
275C22×Dic26C2311yescharacteristic
276C22×Dic26C2311yescharacteristic
277C22×Dic26C2311yescharacteristic
278C22×Dic26C2311yescharacteristic
279C22×Dic26C2311yescharacteristic
280C22×Dic26C2311yescharacteristic
281C22×Dic26C2318yescomplemented
282C13×#126C2318yes—
283C13×#126C2318yescomplemented
284C13×#125C2318yescomplemented
285C13×#125C2318yescomplemented
286C13×#123C2318yes—
287C13×#123C2318yes—
288C13×#123C2318yes—
289C13×#123C2318yescomplemented
290C13×C22⋊Q8C2318yes—
291C13×C22⋊Q8C2318yescomplemented
292C13×C22⋊Q8C2318yescomplemented
293C13×#121C2318yes—
294C4×D4×C13C2318yes—
295C4×D4×C13C2318yescomplemented
296C2×C13×C4⋊C4C2311yescharacteristic
297C2×C13×C4⋊C4C2311yescharacteristic
298C2×C13×C4⋊C4C2311yescharacteristic
299C2×C13×C4⋊C4C2311yescharacteristic
300C2×C13×C4⋊C4C2311yescharacteristic
301C2×C13×C4⋊C4C2311yescharacteristic
302C2×C13×C4⋊C4C2311yescharacteristic
303C2×C13×C4⋊C4C2311yescharacteristic
304C2×C13×C4⋊C4C2311yescharacteristic
305C2×C13×C4⋊C4C2311yescharacteristic
306C2×C13×C4⋊C4C2311yescharacteristic
307C2×C13×C4⋊C4C2311yescharacteristic
308C2×C13×C4⋊C4C2311yescharacteristic
309C2×C13×C4⋊C4C2311yescharacteristic
310C2×C13×C4⋊C4C2318yescomplemented
311C2×C13×C22⋊C4C2311yescharacteristic
312C2×C13×C22⋊C4C2311yescharacteristic
313C2×C13×C22⋊C4C2311yescharacteristic
314C2×C13×C22⋊C4C2311yescharacteristic
315C2×C13×C22⋊C4C2311yescharacteristic
316C2×C13×C22⋊C4C2311yescharacteristic
317C2×C13×C22⋊C4C2311yescharacteristic
318C2×C13×C22⋊C4C2311yescharacteristic
319C2×C13×C22⋊C4C2311yescharacteristic
320C2×C13×C22⋊C4C2311yescharacteristic
321C2×C42×C13C2311yescharacteristic
322C2×C42×C13C2311yescharacteristic
323C2×C22⋊Dic13C2311yescharacteristic
324C2×C22⋊Dic13C2311yescharacteristic
325C2×C22⋊Dic13C2311yescharacteristic
326C2×C22⋊Dic13C2311yescharacteristic
327C2×C22⋊Dic13C2311yescharacteristic
328C2×C22⋊Dic13C2311yescharacteristic
329C2×C22⋊Dic13C2311yescharacteristic
330C2×C22⋊Dic13C2311yescharacteristic
331C2×C22⋊Dic13C2311yescharacteristic
332C2×C22⋊Dic13C2311yescharacteristic
333#88201C2318yescomplemented
334#88200C2318yes—
335#88198C2318yescomplemented
336#88193C2318yes—
337#88193C2318yes—
338#88193C2318yescomplemented
339#88192C2318yes—
340#88192C2318yes—
341#88192C2318yes—
342#88192C2318yescomplemented
343#88191C2318yes—
344#88191C2318yes—
345#88190C2318yes—
346#88189C2318yes—
347#88184C2318yes—
348#88184C2318yes—
349#88183C2318yes—
350#88183C2318yes—
351#88183C2318yescomplemented
352#88183C2318yescomplemented
353C4×C22⋊D13C2318yes—
354C4×C22⋊D13C2318yes—
355C4×C22⋊D13C2318yes—
356C4×C22⋊D13C2318yes—
357C4×C22⋊D13C2318yes—
358C4×C22⋊D13C2318yescomplemented
359C2×#6103C2311yescharacteristic
360C2×#6103C2311yescharacteristic
361C2×#6103C2311yescharacteristic
362C2×#6103C2311yescharacteristic
363C2×#6103C2311yescharacteristic
364C2×#6103C2311yescharacteristic
365C2×#6103C2311yescharacteristic
366C2×#6103C2311yescharacteristic
367C2×#6103C2311yescharacteristic
368C2×#6103C2311yescharacteristic
369C2×#6103C2311yescharacteristic
370C2×#6103C2311yescharacteristic
371C2×#6103C2311yescharacteristic
372C2×#6103C2311yescharacteristic
373C2×#6103C2311yescharacteristic
374C2×#6103C2311yescharacteristic
375C2×#6103C2311yescharacteristic
376C2×#6103C2311yescharacteristic
377C2×#6103C2311yescharacteristic
378C2×#6103C2311yescharacteristic
379C2×#6103C2311yescharacteristic
380C2×#6103C2311yescharacteristic
381C2×#6103C2311yescharacteristic
382C2×#6103C2311yescharacteristic
383C2×C4⋊Dic13C2311yescharacteristic
384C2×C4⋊Dic13C2311yescharacteristic
385C2×C4⋊Dic13C2311yescharacteristic
386C2×C4⋊Dic13C2311yescharacteristic
387C2×C4⋊Dic13C2311yescharacteristic
388C2×C4⋊Dic13C2311yescharacteristic
389C2×C4⋊Dic13C2311yescharacteristic
390C2×C4⋊Dic13C2311yescharacteristic
391C2×C4⋊Dic13C2311yescharacteristic
392C2×C4⋊Dic13C2311yescharacteristic
393#88178C2318yes—
394#88178C2318yescomplemented
395#88178C2318yescomplemented
396#88178C2318yescomplemented
397C2×#6101C2311yescharacteristic
398C2×#6101C2311yescharacteristic
399C2×#6101C2311yescharacteristic
400C2×#6101C2311yescharacteristic
401C2×#6101C2311yescharacteristic
402C2×#6101C2311yescharacteristic
403C2×#6101C2311yescharacteristic
404C2×#6101C2311yescharacteristic
405C2×#6101C2311yescharacteristic
406C2×#6101C2311yescharacteristic
407C2×#6101C2311yescharacteristic
408C2×#6101C2311yescharacteristic
409C2×#6101C2311yescharacteristic
410C2×#6101C2311yescharacteristic
411C2×#6101C2311yescharacteristic
412C2×#6101C2311yescharacteristic
413C2×#6101C2311yescharacteristic
414C2×#6101C2311yescharacteristic
415C2×#6101C2311yescharacteristic
416C2×#6101C2311yescharacteristic
417C2×#6101C2311yescharacteristic
418C2×#6101C2311yescharacteristic
419C2×#6101C2311yescharacteristic
420C2×#6101C2311yescharacteristic
421C2×C4×Dic13C2311yescharacteristic
422C2×C4×Dic13C2311yescharacteristic
423C2×C4×Dic13C2311yescharacteristic
424C2×C4×Dic13C2311yescharacteristic
425C2×C4×Dic13C2311yescharacteristic
426C2×C4×Dic13C2311yescharacteristic
427C2×C4×Dic13C2311yescharacteristic
428C2×C4×Dic13C2311yescharacteristic
429C2×C4×Dic13C2311yescharacteristic
430C2×C4×Dic13C2311yescharacteristic
431#88152C2318yes—
432#88152C2318yes—
433#88152C2318yes—
434#88152C2318yes—
435#88152C2318yescomplemented
436#88152C2318yescomplemented
437#88151C2318yes—
438#88151C2318yes—
439#88151C2318yes—
440#88151C2318yescomplemented
441#88151C2318yescomplemented
442#88150C2318yes—
443#88150C2318yes—
444#88150C2318yes—
445#88150C2318yes—
446#88150C2318yes—
447#88150C2318yes—
448#88150C2318yes—
449#88150C2318yescomplemented
450#88150C2318yescomplemented
451#88150C2318yescomplemented
452#88150C2318yescomplemented
453#88150C2318yescomplemented
454#88150C2318yescomplemented
455#88149C2318yes—
456#88149C2318yes—
457#88148C2318yes—
458#88148C2318yes—
459#88148C2318yes—
460#88148C2318yes—
461#88148C2318yescomplemented
462#88147C2318yes—
463#88147C2318yes—
464#88147C2318yes—
465#88147C2318yes—
466#88147C2318yes—
467#88146C2318yescomplemented
468C4⋊C4×D13C2318yes—
469C4⋊C4×D13C2318yes—
470C4⋊C4×D13C2318yes—
471C4⋊C4×D13C2318yescomplemented
472C4⋊C4×D13C2318yescomplemented
473#88144C2318yescomplemented
474#88144C2318yescomplemented
475#88143C2318yescomplemented
476#88143C2318yescomplemented
477#88143C2318yescomplemented
478#88143C2318yescomplemented
479#88142C2318yescomplemented
480#88142C2318yescomplemented
481#88142C2318yescomplemented
482#88142C2318yescomplemented
483#88142C2318yescomplemented
484#88141C2318yescomplemented
485#88141C2318yescomplemented
486#88141C2318yescomplemented
487#88140C2318yescomplemented
488#88139C2318yes—
489#88139C2318yes—
490#88139C2318yes—
491#88139C2318yes—
492#88139C2318yes—
493#88139C2318yes—
494#88139C2318yescomplemented
495#88139C2318yescomplemented
496#88138C2318yes—
497#88138C2318yes—
498#88138C2318yes—
499#88138C2318yes—
500#88138C2318yes—
501#88138C2318yes—
502#88138C2318yescomplemented
503#88137C2318yes—
504#88137C2318yes—
505#88137C2318yescomplemented
506#88136C2318yes—
507#88136C2318yes—
508#88135C2318yes—
509#88135C2318yes—
510#88135C2318yes—
511#88135C2318yescomplemented
512C22⋊C4×D13C2318yes—
513C22⋊C4×D13C2318yes—
514#88133C2318yes—
515#88133C2318yes—
516#88133C2318yes—
517#88133C2318yescomplemented
518#88133C2318yescomplemented
519#88133C2318yescomplemented
520#88132C2318yes—
521#88132C2318yes—
522#88132C2318yes—
523#88132C2318yescomplemented
524#88132C2318yescomplemented
525#88131C2318yes—
526#88131C2318yescomplemented
527#88129C2318yes—
528C4×D52C2318yes—
529C4×D52C2318yes—
530#88126C2318yes—
531#88126C2318yescomplemented
532#88124C2318yescomplemented
533C4×Dic26C2318yescomplemented
534C4×Dic26C2318yescomplemented
535C2×#3541—131nomaximal, Sylow
536C24×C13C2411yescharacteristic
537C24×C13C2411yescharacteristic
538C24×C13C2411yescharacteristic
539C23×D13—24no—
540C23×D13—42no—
541C23×D13—42no—
542C23×D13C2411yescharacteristic
543C23×D13C2411yescharacteristic
544C23×D13C2411yescharacteristic
545C23×D13C2411yescharacteristic
546C23×D13C2414yes—
547C2×Q8×C13—42no—
548C2×Q8×C13C2414yes—
549C2×D4×C13—42no—
550C2×D4×C13—42no—
551C2×D4×C13—42no—
552C2×D4×C13C2414yes—
553C2×D4×C13C2414yes—
554C2×D4×C13C2414yes—
555C22×C4×C13—42no—
556C22×C4×C13—42no—
557C22×C4×C13—42no—
558C22×C4×C13—42no—
559C22×C4×C13—42no—
560C22×C4×C13C2411yescharacteristic
561C22×C4×C13C2411yescharacteristic
562C22×C4×C13C2411yescharacteristic
563C22×C4×C13C2411yescharacteristic
564C22×C4×C13C2411yescharacteristic
565C22×C4×C13C2411yescharacteristic
566C22×C4×C13C2411yescharacteristic
567C22×C4×C13C2411yescharacteristic
568C22×C4×C13C2411yescharacteristic
569C22×C4×C13C2411yescharacteristic
570C22×C4×C13C2411yescharacteristic
571C22×C4×C13C2411yescharacteristic
572C22×C4×C13C2414yes—
573C22×C4×C13C2414yes—
574C22×C4×C13C2414yes—
575C22×C4×C13C2414yes—
576C22×C4×C13C2414yes—
577C2×C22⋊D13—24no—
578C2×C22⋊D13—24no—
579C2×C22⋊D13—24no—
580C2×C22⋊D13—42no—
581C2×C22⋊D13—42no—
582C2×C22⋊D13—42no—
583C2×C22⋊D13—42no—
584C2×C22⋊D13—42no—
585C2×C22⋊D13—42no—
586C2×C22⋊D13—42no—
587C2×C22⋊D13C2414yes—
588C2×C22⋊D13C2414yes—
589C2×C22⋊D13C2414yes—
590C2×C22⋊D13C2414yes—
591C2×C22⋊D13C2414yes—
592C2×C22⋊D13C2414yes—
593C2×C22⋊D13C2414yes—
594C2×C22⋊D13C2414yes—
595C2×C22⋊D13C2414yes—
596C2×C22⋊D13C2414yes—
597C22×Dic13—24no—
598C22×Dic13—24no—
599C22×Dic13—42no—
600C22×Dic13C2414yes—
601C22×Dic13C2414yes—
602C22×Dic13C2411yescharacteristic
603C22×Dic13C2411yescharacteristic
604C22×Dic13C2411yescharacteristic
605C22×Dic13C2411yescharacteristic
606C22×Dic13C2411yescharacteristic
607C22×Dic13C2411yescharacteristic
608C22×Dic13C2411yescharacteristic
609C22×Dic13C2411yescharacteristic
610C22×Dic13C2411yescharacteristic
611C22×Dic13C2411yescharacteristic
612C22×Dic13C2411yescharacteristic
613C22×Dic13C2414yes—
614C22×Dic13C2411yescharacteristic
615Q8×D13—416no—
616#6129—416no—
617#6127—416no—
618#6127—416no—
619C2×D52—24no—
620C2×D52—24no—
621C2×D52—42no—
622C2×D52—42no—
623C2×D52—42no—
624C2×D52C2414yes—
625C2×D52C2414yes—
626C2×D52C2414yes—
627C2×D52C2414yes—
628C2×D52C2414yes—
629C2×C4×D13—24no—
630C2×C4×D13—24no—
631C2×C4×D13—24no—
632C2×C4×D13—416no—
633C2×C4×D13—42no—
634C2×C4×D13—42no—
635C2×C4×D13—42no—
636C2×C4×D13—42no—
637C2×C4×D13—42no—
638C2×C4×D13—42no—
639C2×C4×D13—42no—
640C2×C4×D13—42no—
641C2×C4×D13—42no—
642C2×C4×D13—42no—
643C2×C4×D13—42no—
644C2×C4×D13C2414yes—
645C2×C4×D13C2414yes—
646C2×C4×D13C2414yes—
647C2×C4×D13C2414yes—
648C2×C4×D13C2414yes—
649C2×C4×D13C2414yes—
650C2×C4×D13C2414yes—
651C2×C4×D13C2414yes—
652C2×C4×D13C2414yes—
653C2×C4×D13C2414yes—
654C2×C4×D13C2414yes—
655C2×C4×D13C2414yes—
656C2×C4×D13C2414yes—
657C2×C4×D13C2414yes—
658C2×Dic26—24no—
659C2×Dic26—24no—
660C2×Dic26—24no—
661C2×Dic26—416no—
662C2×Dic26—42no—
663C2×Dic26—42no—
664C2×Dic26—42no—
665C2×Dic26—42no—
666C2×Dic26—42no—
667C2×Dic26—42no—
668C2×Dic26C2414yes—
669C2×Dic26C2414yes—
670C2×Dic26C2414yes—
671C2×Dic26C2414yes—
672C2×Dic26C2414yes—
673C2×Dic26C2414yes—
674C2×Dic26C2414yes—
675C2×Dic26C2414yes—
676C2×Dic26C2414yes—
677C13×C4⋊C4C2414yes—
678C13×C4⋊C4C2414yes—
679C13×C4⋊C4C2414yes—
680C13×C4⋊C4C2414yes—
681C13×C4⋊C4C2414yes—
682C13×C4⋊C4C2414yes—
683C13×C4⋊C4C2414yes—
684C13×C4⋊C4C2414yes—
685C13×C4⋊C4C2414yes—
686C13×C4⋊C4C2414yes—
687C13×C4⋊C4C2414yes—
688C13×C4⋊C4C2414yes—
689C13×C4⋊C4C2414yes—
690C13×C4⋊C4C2414yes—
691C13×C22⋊C4C2414yes—
692C13×C22⋊C4C2414yes—
693C13×C22⋊C4C2414yes—
694C13×C22⋊C4C2414yes—
695C13×C22⋊C4C2414yes—
696C13×C22⋊C4C2414yes—
697C13×C22⋊C4C2414yes—
698C13×C22⋊C4C2414yes—
699C13×C22⋊C4C2414yes—
700C13×C22⋊C4C2414yes—
701C42×C13C2414yes—
702C42×C13C2414yes—
703C22⋊Dic13C2414yes—
704C22⋊Dic13C2414yes—
705C22⋊Dic13C2414yes—
706C22⋊Dic13C2414yes—
707C22⋊Dic13C2414yes—
708C22⋊Dic13C2414yes—
709C22⋊Dic13C2414yes—
710C22⋊Dic13C2414yes—
711C22⋊Dic13C2414yes—
712C22⋊Dic13C2414yes—
713#6103C2414yes—
714#6103C2414yes—
715#6103C2414yes—
716#6103C2414yes—
717#6103C2414yes—
718#6103C2414yes—
719#6103C2414yes—
720#6103C2414yes—
721#6103C2414yes—
722#6103C2414yes—
723#6103C2414yes—
724#6103C2414yes—
725#6103C2414yes—
726#6103C2414yes—
727#6103C2414yes—
728#6103C2414yes—
729#6103C2414yes—
730#6103C2414yes—
731#6103C2414yes—
732#6103C2414yes—
733#6103C2414yes—
734#6103C2414yes—
735#6103C2414yes—
736#6103C2414yes—
737C4⋊Dic13C2414yes—
738C4⋊Dic13C2414yes—
739C4⋊Dic13C2414yes—
740C4⋊Dic13C2414yes—
741C4⋊Dic13C2414yes—
742C4⋊Dic13C2414yes—
743C4⋊Dic13C2414yes—
744C4⋊Dic13C2414yes—
745C4⋊Dic13C2414yes—
746C4⋊Dic13C2414yes—
747#6101C2414yes—
748#6101C2414yes—
749#6101C2414yes—
750#6101C2414yes—
751#6101C2414yes—
752#6101C2414yes—
753#6101C2414yes—
754#6101C2414yes—
755#6101C2414yes—
756#6101C2414yes—
757#6101C2414yes—
758#6101C2414yes—
759#6101C2414yes—
760#6101C2414yes—
761#6101C2414yes—
762#6101C2414yes—
763#6101C2414yes—
764#6101C2414yes—
765#6101C2414yes—
766#6101C2414yes—
767#6101C2414yes—
768#6101C2414yes—
769#6101C2414yes—
770#6101C2414yes—
771C4×Dic13C2414yes—
772C4×Dic13C2414yes—
773C4×Dic13C2414yes—
774C4×Dic13C2414yes—
775C4×Dic13C2414yes—
776C4×Dic13C2414yes—
777C4×Dic13C2414yes—
778C4×Dic13C2414yes—
779C4×Dic13C2414yes—
780C4×Dic13C2414yes—
781#3541—1332no—
782C2×#563—131no—
783C2×#563—131no—
784C2×#562—131no—
785C2×#562—131no—
786C2×#556—131no—
787C2×#554—131no—
788C2×#554—131no—
789C2×#554—131no—
790C2×#553—131no—
791C2×#553—131no—
792C2×#553—131no—
793C2×#552—131no—
794C2×D4×Q8—131no—
795C2×#548—131no—
796C2×#548—131no—
797C2×#547—131no—
798C2×#542—131no—
799C2×#542—131no—
800C2×#542—131no—
801C2×#541—131no—
802C2×#539—131no—
803C2×#539D1311yescharacteristic, complemented
804C2×#538—131no—
805C2×#538—131no—
806C2×#538—131no—
807C2×#538—131no—
808C2×#537—131no—
809C2×#536—131no—
810C2×#525—131no—
811C2×#525—131no—
812C22×C22⋊Q8—131no—
813C23×C13—22no—
814C23×C13—22no—
815C23×C13—22no—
816C23×C13—22no—
817C23×C13—22no—
818C23×C13—22no—
819C23×C13—22no—
820C23×C13—22no—
821C23×C13—22no—
822C23×C13C2512yes—
823C23×C13C2512yes—
824C23×C13C2512yes—
825C23×C13C2511yescharacteristic
826C22×D13—22no—
827C22×D13—22no—
828C22×D13—22no—
829C22×D13—22no—
830C22×D13—22no—
831C22×D13—22no—
832C22×D13—22no—
833C22×D13—22no—
834C22×D13—22no—
835C22×D13—22no—
836C22×D13—22no—
837C22×D13—28no—
838C22×D13—44no—
839C22×D13—44no—
840C22×D13—416no—
841C22×D132−1+414yes—
842C22×D13C2512yes—
843C22×D13C2512yes—
844C22×D13C2512yes—
845C22×D13C2512yes—
846Q8×C13—44no—
847D4×C13—44no—
848D4×C13—44no—
849D4×C13—44no—
850C2×C4×C13—22no—
851C2×C4×C13—22no—
852C2×C4×C13—22no—
853C2×C4×C13—22no—
854C2×C4×C13—22no—
855C2×C4×C13—22no—
856C2×C4×C13—22no—
857C2×C4×C13—22no—
858C2×C4×C13—22no—
859C2×C4×C13—22no—
860C2×C4×C13—22no—
861C2×C4×C13—22no—
862C2×C4×C13—44no—
863C2×C4×C13—44no—
864C2×C4×C13—44no—
865C2×C4×C13—44no—
866C2×C4×C13—44no—
867C2×C4×C13C2512yes—
868C2×C4×C13C2512yes—
869C2×C4×C13C2512yes—
870C2×C4×C13C2512yes—
871C2×C4×C13C2512yes—
872C2×C4×C13C2512yes—
873C2×C4×C13C2512yes—
874C2×C4×C13C2512yes—
875C2×C4×C13C2512yes—
876C2×C4×C13C2512yes—
877C2×C4×C13C2512yes—
878C2×C4×C13C2512yes—
879C22⋊D13—28no—
880C22⋊D13—28no—
881C22⋊D13—28no—
882C22⋊D13—44no—
883C22⋊D13—44no—
884C22⋊D13—44no—
885C22⋊D13—44no—
886C22⋊D13—44no—
887C22⋊D13—44no—
888C22⋊D13—44no—
889C2×Dic13—22no—
890C2×Dic13—22no—
891C2×Dic13—22no—
892C2×Dic13—22no—
893C2×Dic13—22no—
894C2×Dic13—22no—
895C2×Dic13—22no—
896C2×Dic13—22no—
897C2×Dic13—22no—
898C2×Dic13—22no—
899C2×Dic13—22no—
900C2×Dic13—28no—
901C2×Dic13—28no—
902C2×Dic13—44no—
903C2×Dic13H(5,𝔽2)14yes—
904C2×Dic13C2512yes—
905C2×Dic13C2512yes—
906C2×Dic13C2512yes—
907C2×Dic13C2512yes—
908C2×Dic13C2512yes—
909C2×Dic13C2512yes—
910C2×Dic13C2512yes—
911C2×Dic13C2512yes—
912C2×Dic13C2512yes—
913C2×Dic13C2512yes—
914C2×Dic13C2512yes—
915C2×Dic13C2512yes—
916D52—28no—
917D52—28no—
918D52—44no—
919D52—44no—
920D52—44no—
921C4×D13—28no—
922C4×D13—28no—
923C4×D13—28no—
924C4×D13—44no—
925C4×D13—44no—
926C4×D13—44no—
927C4×D13—44no—
928C4×D13—44no—
929C4×D13—44no—
930C4×D13—44no—
931C4×D13—44no—
932C4×D13—44no—
933C4×D13—44no—
934C4×D13—44no—
935Dic26—28no—
936Dic26—28no—
937Dic26—28no—
938Dic26—44no—
939Dic26—44no—
940Dic26—44no—
941Dic26—44no—
942Dic26—44no—
943Dic26—44no—
944C22×#41—131no—
945C22×#41—131no—
946C22×#41—131no—
947C23×Q8—131no—
948C23×Q8—131no—
949C24×C4—131no—
950#563—1316no—
951#563—1316no—
952#562—1316no—
953#562—1316no—
954#556—1316no—
955#554—1316no—
956#554—1316no—
957#554—1316no—
958#553—1316no—
959#553—1316no—
960#553—1316no—
961#552—1316no—
962D4×Q8—1316no—
963#548—1316no—
964#548—1316no—
965#547—1316no—
966#542—1316no—
967#542—1316no—
968#542—1316no—
969#541—1316no—
970#539—1316no—
971#539C2×D13116yescomplemented
972#538—1316no—
973#538—1316no—
974#538—1316no—
975#538—1316no—
976#537—1316no—
977#536—1316no—
978C2×C4⋊Q8—131no—
979C2×C4⋊Q8—131no—
980C2×C4⋊Q8—131no—
981C2×C4⋊Q8—131no—
982C2×C4⋊Q8—131no—
983C2×C4⋊Q8—131no—
984C2×#126—131no—
985C2×#126—131no—
986C2×#126—131no—
987C2×#126—131no—
988C2×#126—131no—
989C2×#126—131no—
990C2×#126—131no—
991C2×#126—131no—
992C2×#126—131no—
993C2×#126—131no—
994C2×#126—131no—
995C2×#126—131no—
996C2×#126C2×D1311yescharacteristic
997C2×#126C2×D1311yescharacteristic, complemented
998C2×#125—131no—
999C2×#125—131no—
1000C2×#125—131no—
1001C2×#125—131no—
1002C2×#125—131no—
1003C2×#125—131no—
1004C2×#125—131no—
1005C2×#125C2×D1311yescharacteristic, complemented
1006C2×#125C2×D1311yescharacteristic, complemented
1007C2×#124—131no—
1008C2×#124—131no—
1009C2×#124—131no—
1010C2×#124—131no—
1011C2×#124—131no—
1012C2×#124—131no—
1013C2×#124—131no—
1014C2×#124—131no—
1015C2×#124—131no—
1016C2×#124—131no—
1017C2×#124—131no—
1018#525—1316no—
1019#525—1316no—
1020C2×#123—131no—
1021C2×#123—131no—
1022C2×#123—131no—
1023C2×#123—131no—
1024C2×#123—131no—
1025C2×#123—131no—
1026C2×#123—131no—
1027C2×#123—131no—
1028C2×#123—131no—
1029C2×#123—131no—
1030C2×#123—131no—
1031C2×#123—131no—
1032C2×#123—131no—
1033C2×#123—131no—
1034C2×#123C2×D1311yescharacteristic
1035C2×#123C2×D1311yescharacteristic
1036C2×#123C2×D1311yescharacteristic
1037C2×#123C2×D1311yescharacteristic, complemented
1038C2×C22⋊Q8—131no—
1039C2×C22⋊Q8—131no—
1040C2×C22⋊Q8—131no—
1041C2×C22⋊Q8—131no—
1042C2×C22⋊Q8—131no—
1043C2×C22⋊Q8—1316no—
1044C2×C22⋊Q8—131no—
1045C2×C22⋊Q8—131no—
1046C2×C22⋊Q8—131no—
1047C2×C22⋊Q8—131no—
1048C2×C22⋊Q8—131no—
1049C2×C22⋊Q8—131no—
1050C2×C22⋊Q8—131no—
1051C2×C22⋊Q8—131no—
1052C2×C22⋊Q8—131no—
1053C2×C22⋊Q8—131no—
1054C2×C22⋊Q8—131no—
1055C2×C22⋊Q8—131no—
1056C2×C22⋊Q8—131no—
1057C2×C22⋊Q8—131no—
1058C2×C22⋊Q8—131no—
1059C2×C22⋊Q8—131no—
1060C2×C22⋊Q8—131no—
1061C2×C22⋊Q8—131no—
1062C2×C22⋊Q8—131no—
1063C2×C22⋊Q8—131no—
1064C2×C22⋊Q8—131no—
1065C2×C22⋊Q8—131no—
1066C2×C22⋊Q8—131no—
1067C2×C22⋊Q8C2×D1311yescharacteristic
1068C2×C22⋊Q8C2×D1311yescharacteristic, complemented
1069C2×C22⋊Q8C2×D1311yescharacteristic, complemented
1070C2×#121—131no—
1071C2×#121—131no—
1072C2×#121—131no—
1073C2×#121—131no—
1074C2×#121—131no—
1075C2×#121—131no—
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—131no—
1087C2×#121—131no—
1088C2×#121C2×D1311yescharacteristic
1089C2×#120—131no—
1090C2×#120—131no—
1091C2×#120—131no—
1092C2×#120—131no—
1093C2×C4×Q8—131no—
1094C2×C4×Q8—131no—
1095C2×C4×Q8—131no—
1096C2×C4×Q8—131no—
1097C2×C4×Q8—131no—
1098C2×C4×D4—131no—
1099C2×C4×D4—131no—
1100C2×C4×D4—131no—
1101C2×C4×D4—131no—
1102C2×C4×D4—131no—
1103C2×C4×D4—131no—
1104C2×C4×D4—131no—
1105C2×C4×D4—131no—
1106C2×C4×D4—131no—
1107C2×C4×D4—131no—
1108C2×C4×D4—131no—
1109C2×C4×D4—131no—
1110C2×C4×D4—131no—
1111C2×C4×D4—131no—
1112C2×C4×D4—131no—
1113C2×C4×D4—131no—
1114C2×C4×D4—131no—
1115C2×C4×D4C2×D1311yescharacteristic
1116C2×C4×D4C2×D1311yescharacteristic, complemented
1117C2×#117—131no—
1118C2×#117—131no—
1119C2×#117—131no—
1120C2×#117—131no—
1121C2×#117—131no—
1122C22×C4⋊C4—131no—
1123C22×C4⋊C4—131no—
1124C22×C4⋊C4—131no—
1125C22×C4⋊C4—131no—
1126C22×C4⋊C4—131no—
1127C22×C4⋊C4C2×D1311yescharacteristic, complemented
1128C22×C22⋊C4—131no—
1129C22×C22⋊C4—131no—
1130C22×C13—22no—
1131C22×C13—22no—
1132C22×C13—22no—
1133C22×C13—22no—
1134C22×C13—22no—
1135C22×C13—22no—
1136C22×C13—22no—
1137C22×C13—22no—
1138C22×C13—22no—
1139C22×C13—44no—
1140C22×C13—44no—
1141C22×C13—44no—
1142C22×C13C2×H(5,𝔽2)12yes—
1143C22×C13C2×2−1+412yes—
1144C22×C13#58512yes—
1145C22×C13C2611yescharacteristic
1146C2×D13—22no—
1147C2×D13—22no—
1148C2×D13—28no—
1149C2×D13—22no—
1150C2×D13—22no—
1151C2×D13—22no—
1152C2×D13—22no—
1153C2×D13—22no—
1154C2×D13—22no—
1155C2×D13—22no—
1156C2×D13—22no—
1157C2×D13—22no—
1158C2×D13—416no—
1159C2×D13—44no—
1160C2×D13—44no—
1161C2×D13—44no—
1162C2×D13C2×2−1+414yes—
1163C4×C13—22no—
1164C4×C13—22no—
1165C4×C13—22no—
1166C4×C13—22no—
1167C4×C13—22no—
1168C4×C13—22no—
1169C4×C13—22no—
1170C4×C13—22no—
1171C4×C13—22no—
1172C4×C13—22no—
1173C4×C13—22no—
1174C4×C13—22no—
1175Dic13—22no—
1176Dic13—22no—
1177Dic13—22no—
1178Dic13—22no—
1179Dic13—22no—
1180Dic13—22no—
1181Dic13—22no—
1182Dic13—22no—
1183Dic13—22no—
1184Dic13—22no—
1185Dic13—22no—
1186Dic13C2×H(5,𝔽2)14yes—
1187C25—131no—
1188C2×#41—138no—
1189C2×#41—138no—
1190C2×#41—138no—
1191C2×#41—524no—
1192C2×#41—524no—
1193C2×#41—524no—
1194C22×Q8—138no—
1195C22×Q8—131no—
1196C22×Q8—131no—
1197C22×Q8—131no—
1198C22×Q8—131no—
1199C22×Q8—131no—
1200C22×Q8—131no—
1201C22×Q8—131no—
1202C22×Q8—131no—
1203C22×Q8—131no—
1204C22×Q8—138no—
1205C22×Q8—524no—
1206C22×Q8—524no—
1207C22×Q8C22×D1311yescharacteristic
1208C22×D4—131no—
1209C22×D4—131no—
1210C22×D4—131no—
1211C22×D4—131no—
1212C22×D4—131no—
1213C22×D4—131no—
1214C22×D4—131no—
1215C22×D4—131no—
1216C22×D4—131no—
1217C22×D4—131no—
1218C22×D4—131no—
1219C22×D4—131no—
1220C22×D4—131no—
1221C22×D4—131no—
1222C22×D4—131no—
1223C22×D4C22×D1311yescharacteristic
1224C22×D4C22×D1311yescharacteristic
1225C22×D4C22×D1311yescharacteristic
1226C23×C4—131no—
1227C23×C4—131no—
1228C23×C4—131no—
1229C23×C4—131no—
1230C23×C4—131no—
1231C23×C4—131no—
1232C23×C4—131no—
1233C23×C4—131no—
1234C23×C4—131no—
1235C23×C4—131no—
1236C23×C4—131no—
1237C23×C4—131no—
1238C23×C4—131no—
1239C23×C4—131no—
1240C23×C4—131no—
1241C23×C4—131no—
1242C23×C4—131no—
1243C23×C4—138no—
1244C23×C4—524no—
1245C23×C4C22×D1311yescharacteristic
1246C23×C4C22×D1311yescharacteristic
1247C23×C4C22×D1311yescharacteristic
1248C23×C4C22×D1311yescharacteristic
1249C23×C4C22×D1311yescharacteristic
1250C4⋊Q8—138no—
1251C4⋊Q8—138no—
1252C4⋊Q8—138no—
1253C4⋊Q8—138no—
1254C4⋊Q8—138no—
1255C4⋊Q8—138no—
1256#126—138no—
1257#126—138no—
1258#126—138no—
1259#126—138no—
1260#126—138no—
1261#126—138no—
1262#126—138no—
1263#126—138no—
1264#126—138no—
1265#126—138no—
1266#126—138no—
1267#126—138no—
1268#126C22×D1318yes—
1269#126C22×D1318yescomplemented
1270#125—138no—
1271#125—138no—
1272#125—138no—
1273#125—138no—
1274#125—138no—
1275#125—138no—
1276#125—138no—
1277#125C22×D1318yescomplemented
1278#125C22×D1318yescomplemented
1279#124—138no—
1280#124—138no—
1281#124—138no—
1282#124—138no—
1283#124—138no—
1284#124—138no—
1285#124—138no—
1286#124—138no—
1287#124—138no—
1288#124—138no—
1289#124—138no—
1290#123—138no—
1291#123—138no—
1292#123—138no—
1293#123—138no—
1294#123—138no—
1295#123—138no—
1296#123—138no—
1297#123—138no—
1298#123—138no—
1299#123—138no—
1300#123—138no—
1301#123—138no—
1302#123—138no—
1303#123—138no—
1304#123C22×D1318yes—
1305#123C22×D1318yes—
1306#123C22×D1318yes—
1307#123C22×D1318yescomplemented
1308C22⋊Q8—138no—
1309C22⋊Q8—138no—
1310C22⋊Q8—138no—
1311C22⋊Q8—138no—
1312C22⋊Q8—138no—
1313C22⋊Q8—138no—
1314C22⋊Q8—138no—
1315C22⋊Q8—138no—
1316C22⋊Q8—138no—
1317C22⋊Q8—138no—
1318C22⋊Q8—138no—
1319C22⋊Q8—138no—
1320C22⋊Q8—138no—
1321C22⋊Q8—138no—
1322C22⋊Q8—138no—
1323C22⋊Q8—138no—
1324C22⋊Q8—138no—
1325C22⋊Q8—138no—
1326C22⋊Q8—138no—
1327C22⋊Q8—138no—
1328C22⋊Q8—138no—
1329C22⋊Q8—138no—
1330C22⋊Q8—138no—
1331C22⋊Q8—138no—
1332C22⋊Q8—138no—
1333C22⋊Q8—138no—
1334C22⋊Q8—138no—
1335C22⋊Q8—138no—
1336C22⋊Q8C22×D1318yes—
1337C22⋊Q8C22×D1318yescomplemented
1338C22⋊Q8C22×D1318yescomplemented
1339#121—138no—
1340#121—138no—
1341#121—138no—
1342#121—138no—
1343#121—138no—
1344#121—138no—
1345#121—138no—
1346#121—138no—
1347#121—138no—
1348#121—138no—
1349#121—138no—
1350#121—138no—
1351#121—138no—
1352#121—138no—
1353#121—138no—
1354#121—138no—
1355#121—138no—
1356#121—138no—
1357#121C22×D1318yes—
1358#120—138no—
1359#120—138no—
1360#120—138no—
1361#120—138no—
1362C4×Q8—138no—
1363C4×Q8—138no—
1364C4×Q8—138no—
1365C4×Q8—138no—
1366C4×Q8—138no—
1367C4×D4—138no—
1368C4×D4—138no—
1369C4×D4—138no—
1370C4×D4—138no—
1371C4×D4—138no—
1372C4×D4—138no—
1373C4×D4—138no—
1374C4×D4—138no—
1375C4×D4—138no—
1376C4×D4—138no—
1377C4×D4—138no—
1378C4×D4—138no—
1379C4×D4—138no—
1380C4×D4—138no—
1381C4×D4—138no—
1382C4×D4—138no—
1383C4×D4—138no—
1384C4×D4C22×D1318yes—
1385C4×D4C22×D1318yescomplemented
1386#117—138no—
1387#117—138no—
1388#117—138no—
1389#117—138no—
1390#117—138no—
1391C2×C4⋊C4—131no—
1392C2×C4⋊C4—131no—
1393C2×C4⋊C4—131no—
1394C2×C4⋊C4—131no—
1395C2×C4⋊C4—131no—
1396C2×C4⋊C4—131no—
1397C2×C4⋊C4—131no—
1398C2×C4⋊C4—131no—
1399C2×C4⋊C4—131no—
1400C2×C4⋊C4—131no—
1401C2×C4⋊C4—131no—
1402C2×C4⋊C4—131no—
1403C2×C4⋊C4—131no—
1404C2×C4⋊C4—131no—
1405C2×C4⋊C4—131no—
1406C2×C4⋊C4—131no—
1407C2×C4⋊C4—131no—
1408C2×C4⋊C4—131no—
1409C2×C4⋊C4—131no—
1410C2×C4⋊C4—131no—
1411C2×C4⋊C4—131no—
1412C2×C4⋊C4—131no—
1413C2×C4⋊C4—131no—
1414C2×C4⋊C4—131no—
1415C2×C4⋊C4—131no—
1416C2×C4⋊C4—131no—
1417C2×C4⋊C4—131no—
1418C2×C4⋊C4—131no—
1419C2×C4⋊C4—131no—
1420C2×C4⋊C4—131no—
1421C2×C4⋊C4—131no—
1422C2×C4⋊C4—131no—
1423C2×C4⋊C4—131no—
1424C2×C4⋊C4—131no—
1425C2×C4⋊C4—138no—
1426C2×C4⋊C4—138no—
1427C2×C4⋊C4—138no—
1428C2×C4⋊C4—138no—
1429C2×C4⋊C4—138no—
1430C2×C4⋊C4C22×D1311yescharacteristic
1431C2×C4⋊C4C22×D1311yescharacteristic
1432C2×C4⋊C4C22×D1311yescharacteristic
1433C2×C4⋊C4C22×D1311yescharacteristic
1434C2×C4⋊C4C22×D1311yescharacteristic
1435C2×C4⋊C4C22×D1311yescharacteristic
1436C2×C4⋊C4C22×D1311yescharacteristic
1437C2×C4⋊C4C22×D1311yescharacteristic
1438C2×C4⋊C4C22×D1311yescharacteristic
1439C2×C4⋊C4C22×D1311yescharacteristic
1440C2×C4⋊C4C22×D1311yescharacteristic
1441C2×C4⋊C4C22×D1311yescharacteristic
1442C2×C4⋊C4C22×D1311yescharacteristic
1443C2×C4⋊C4C22×D1311yescharacteristic
1444C2×C4⋊C4C22×D1318yescomplemented
1445C2×C22⋊C4—131no—
1446C2×C22⋊C4—131no—
1447C2×C22⋊C4—131no—
1448C2×C22⋊C4—131no—
1449C2×C22⋊C4—131no—
1450C2×C22⋊C4—131no—
1451C2×C22⋊C4—131no—
1452C2×C22⋊C4—131no—
1453C2×C22⋊C4—131no—
1454C2×C22⋊C4—131no—
1455C2×C22⋊C4—131no—
1456C2×C22⋊C4—131no—
1457C2×C22⋊C4—131no—
1458C2×C22⋊C4—131no—
1459C2×C22⋊C4—131no—
1460C2×C22⋊C4—131no—
1461C2×C22⋊C4—131no—
1462C2×C22⋊C4—131no—
1463C2×C22⋊C4—131no—
1464C2×C22⋊C4—131no—
1465C2×C22⋊C4—131no—
1466C2×C22⋊C4—131no—
1467C2×C22⋊C4—131no—
1468C2×C22⋊C4—131no—
1469C2×C22⋊C4—131no—
1470C2×C22⋊C4—131no—
1471C2×C22⋊C4—131no—
1472C2×C22⋊C4—131no—
1473C2×C22⋊C4—131no—
1474C2×C22⋊C4—131no—
1475C2×C22⋊C4—131no—
1476C2×C22⋊C4—131no—
1477C2×C22⋊C4—131no—
1478C2×C22⋊C4—131no—
1479C2×C22⋊C4—138no—
1480C2×C22⋊C4—138no—
1481C2×C22⋊C4C22×D1311yescharacteristic
1482C2×C22⋊C4C22×D1311yescharacteristic
1483C2×C22⋊C4C22×D1311yescharacteristic
1484C2×C22⋊C4C22×D1311yescharacteristic
1485C2×C22⋊C4C22×D1311yescharacteristic
1486C2×C22⋊C4C22×D1311yescharacteristic
1487C2×C22⋊C4C22×D1311yescharacteristic
1488C2×C22⋊C4C22×D1311yescharacteristic
1489C2×C22⋊C4C22×D1311yescharacteristic
1490C2×C22⋊C4C22×D1311yescharacteristic
1491C2×C42—131no—
1492C2×C42—131no—
1493C2×C42—131no—
1494C2×C42—131no—
1495C2×C42—131no—
1496C2×C42—131no—
1497C2×C42—131no—
1498C2×C42—131no—
1499C2×C42—131no—
1500C2×C42—131no—
1501C2×C42C22×D1311yescharacteristic
1502C2×C42C22×D1311yescharacteristic
1503C2×C13—42no—
1504C2×C13—42no—
1505C2×C13—42no—
1506C2×C13#354114yescomplemented
1507C2×C13C22×H(5,𝔽2)11yescharacteristic
1508C2×C13C22×2−1+411yescharacteristic
1509C2×C13C2×#58511yescharacteristic
1510D13—24no—
1511D13—42no—
1512D13—42no—
1513D13—42no—
1514C24—131no—
1515C24—131no—
1516C24—131no—
1517C24—131no—
1518C24—134no—
1519C24—264no—
1520C24—522no—
1521C24—522no—
1522C24C23×D1311yescharacteristic
1523C24C23×D1311yescharacteristic
1524C24C23×D1311yescharacteristic
1525#41—5216no—
1526#41—5216no—
1527#41—5216no—
1528C2×Q8—42no—
1529C2×Q8—134no—
1530C2×Q8—134no—
1531C2×Q8—134no—
1532C2×Q8—134no—
1533C2×Q8—134no—
1534C2×Q8—134no—
1535C2×Q8—134no—
1536C2×Q8—134no—
1537C2×Q8—134no—
1538C2×Q8—264no—
1539C2×Q8—264no—
1540C2×Q8—264no—
1541C2×Q8—522no—
1542C2×Q8—522no—
1543C2×Q8—522no—
1544C2×Q8—522no—
1545C2×Q8—522no—
1546C2×Q8—522no—
1547C2×Q8—5216no—
1548C2×Q8—5216no—
1549C2×Q8C23×D1314yes—
1550C2×D4—42no—
1551C2×D4—42no—
1552C2×D4—42no—
1553C2×D4—134no—
1554C2×D4—134no—
1555C2×D4—134no—
1556C2×D4—134no—
1557C2×D4—134no—
1558C2×D4—134no—
1559C2×D4—134no—
1560C2×D4—134no—
1561C2×D4—134no—
1562C2×D4—134no—
1563C2×D4—134no—
1564C2×D4—134no—
1565C2×D4—134no—
1566C2×D4—134no—
1567C2×D4—134no—
1568C2×D4—264no—
1569C2×D4—264no—
1570C2×D4—264no—
1571C2×D4—264no—
1572C2×D4—264no—
1573C2×D4—522no—
1574C2×D4—522no—
1575C2×D4—522no—
1576C2×D4—522no—
1577C2×D4—522no—
1578C2×D4—522no—
1579C2×D4—522no—
1580C2×D4—522no—
1581C2×D4—522no—
1582C2×D4—522no—
1583C2×D4C23×D1314yes—
1584C2×D4C23×D1314yes—
1585C2×D4C23×D1314yes—
1586C22×C4—42no—
1587C22×C4—42no—
1588C22×C4—42no—
1589C22×C4—42no—
1590C22×C4—42no—
1591C22×C4—131no—
1592C22×C4—134no—
1593C22×C4—134no—
1594C22×C4—131no—
1595C22×C4—131no—
1596C22×C4—131no—
1597C22×C4—131no—
1598C22×C4—131no—
1599C22×C4—131no—
1600C22×C4—131no—
1601C22×C4—131no—
1602C22×C4—131no—
1603C22×C4—131no—
1604C22×C4—131no—
1605C22×C4—134no—
1606C22×C4—134no—
1607C22×C4—134no—
1608C22×C4—134no—
1609C22×C4—134no—
1610C22×C4—134no—
1611C22×C4—134no—
1612C22×C4—134no—
1613C22×C4—134no—
1614C22×C4—134no—
1615C22×C4—134no—
1616C22×C4—134no—
1617C22×C4—134no—
1618C22×C4—134no—
1619C22×C4—134no—
1620C22×C4—264no—
1621C22×C4—264no—
1622C22×C4—264no—
1623C22×C4—264no—
1624C22×C4—264no—
1625C22×C4—522no—
1626C22×C4—522no—
1627C22×C4—522no—
1628C22×C4—522no—
1629C22×C4—522no—
1630C22×C4—522no—
1631C22×C4—522no—
1632C22×C4—522no—
1633C22×C4—522no—
1634C22×C4—522no—
1635C22×C4—522no—
1636C22×C4—5216no—
1637C22×C4—522no—
1638C22×C4C23×D1311yescharacteristic
1639C22×C4C23×D1311yescharacteristic
1640C22×C4C23×D1311yescharacteristic
1641C22×C4C23×D1311yescharacteristic
1642C22×C4C23×D1311yescharacteristic
1643C22×C4C23×D1311yescharacteristic
1644C22×C4C23×D1311yescharacteristic
1645C22×C4C23×D1311yescharacteristic
1646C22×C4C23×D1311yescharacteristic
1647C22×C4C23×D1311yescharacteristic
1648C22×C4C23×D1311yescharacteristic
1649C22×C4C23×D1311yescharacteristic
1650C22×C4C23×D1314yes—
1651C22×C4C23×D1314yes—
1652C22×C4C23×D1314yes—
1653C22×C4C23×D1314yes—
1654C22×C4C23×D1314yes—
1655C4⋊C4—134no—
1656C4⋊C4—134no—
1657C4⋊C4—134no—
1658C4⋊C4—134no—
1659C4⋊C4—134no—
1660C4⋊C4—134no—
1661C4⋊C4—134no—
1662C4⋊C4—134no—
1663C4⋊C4—134no—
1664C4⋊C4—134no—
1665C4⋊C4—134no—
1666C4⋊C4—134no—
1667C4⋊C4—134no—
1668C4⋊C4—134no—
1669C4⋊C4—134no—
1670C4⋊C4—134no—
1671C4⋊C4—134no—
1672C4⋊C4—134no—
1673C4⋊C4—134no—
1674C4⋊C4—134no—
1675C4⋊C4—134no—
1676C4⋊C4—134no—
1677C4⋊C4—134no—
1678C4⋊C4—134no—
1679C4⋊C4—134no—
1680C4⋊C4—134no—
1681C4⋊C4—134no—
1682C4⋊C4—134no—
1683C4⋊C4—134no—
1684C4⋊C4—134no—
1685C4⋊C4—134no—
1686C4⋊C4—134no—
1687C4⋊C4—134no—
1688C4⋊C4—134no—
1689C4⋊C4C23×D1314yes—
1690C4⋊C4C23×D1314yes—
1691C4⋊C4C23×D1314yes—
1692C4⋊C4C23×D1314yes—
1693C4⋊C4C23×D1314yes—
1694C4⋊C4C23×D1314yes—
1695C4⋊C4C23×D1314yes—
1696C4⋊C4C23×D1314yes—
1697C4⋊C4C23×D1314yes—
1698C4⋊C4C23×D1314yes—
1699C4⋊C4C23×D1314yes—
1700C4⋊C4C23×D1314yes—
1701C4⋊C4C23×D1314yes—
1702C4⋊C4C23×D1314yes—
1703C22⋊C4—134no—
1704C22⋊C4—134no—
1705C22⋊C4—134no—
1706C22⋊C4—134no—
1707C22⋊C4—134no—
1708C22⋊C4—134no—
1709C22⋊C4—134no—
1710C22⋊C4—134no—
1711C22⋊C4—134no—
1712C22⋊C4—134no—
1713C22⋊C4—134no—
1714C22⋊C4—134no—
1715C22⋊C4—134no—
1716C22⋊C4—134no—
1717C22⋊C4—134no—
1718C22⋊C4—134no—
1719C22⋊C4—134no—
1720C22⋊C4—134no—
1721C22⋊C4—134no—
1722C22⋊C4—134no—
1723C22⋊C4—134no—
1724C22⋊C4—134no—
1725C22⋊C4—134no—
1726C22⋊C4—134no—
1727C22⋊C4—134no—
1728C22⋊C4—134no—
1729C22⋊C4—134no—
1730C22⋊C4—134no—
1731C22⋊C4—134no—
1732C22⋊C4—134no—
1733C22⋊C4—134no—
1734C22⋊C4—134no—
1735C22⋊C4—134no—
1736C22⋊C4—134no—
1737C22⋊C4C23×D1314yes—
1738C22⋊C4C23×D1314yes—
1739C22⋊C4C23×D1314yes—
1740C22⋊C4C23×D1314yes—
1741C22⋊C4C23×D1314yes—
1742C22⋊C4C23×D1314yes—
1743C22⋊C4C23×D1314yes—
1744C22⋊C4C23×D1314yes—
1745C22⋊C4C23×D1314yes—
1746C22⋊C4C23×D1314yes—
1747C42—134no—
1748C42—134no—
1749C42—134no—
1750C42—134no—
1751C42—134no—
1752C42—134no—
1753C42—134no—
1754C42—134no—
1755C42—134no—
1756C42—134no—
1757C42C23×D1314yes—
1758C42C23×D1314yes—
1759C13C2×#354111yescharacteristic, complemented, Sylow
1760C23—22no—
1761C23—22no—
1762C23—22no—
1763C23—22no—
1764C23—22no—
1765C23—22no—
1766C23—22no—
1767C23—22no—
1768C23—22no—
1769C23—134no—
1770C23—132no—
1771C23—132no—
1772C23—132no—
1773C23—132no—
1774C23—268no—
1775C23—262no—
1776C23—262no—
1777C23—262no—
1778C23—262no—
1779C23—262no—
1780C23—262no—
1781C23—262no—
1782C23—262no—
1783C23—262no—
1784C23—262no—
1785C23—262no—
1786C23—524no—
1787C23—524no—
1788C23—5216no—
1789C23C24×D1312yes—
1790C23C24×D1312yes—
1791C23C24×D1312yes—
1792C23C24×D1311yescharacteristic
1793Q8—44no—
1794Q8—268no—
1795Q8—268no—
1796Q8—268no—
1797Q8—524no—
1798Q8—524no—
1799Q8—524no—
1800Q8—524no—
1801Q8—524no—
1802Q8—524no—
1803D4—44no—
1804D4—44no—
1805D4—44no—
1806D4—268no—
1807D4—268no—
1808D4—268no—
1809D4—268no—
1810D4—268no—
1811D4—524no—
1812D4—524no—
1813D4—524no—
1814D4—524no—
1815D4—524no—
1816D4—524no—
1817D4—524no—
1818D4—524no—
1819D4—524no—
1820D4—524no—
1821C2×C4—22no—
1822C2×C4—22no—
1823C2×C4—22no—
1824C2×C4—22no—
1825C2×C4—22no—
1826C2×C4—22no—
1827C2×C4—22no—
1828C2×C4—22no—
1829C2×C4—22no—
1830C2×C4—22no—
1831C2×C4—22no—
1832C2×C4—22no—
1833C2×C4—44no—
1834C2×C4—44no—
1835C2×C4—44no—
1836C2×C4—44no—
1837C2×C4—44no—
1838C2×C4—134no—
1839C2×C4—132no—
1840C2×C4—132no—
1841C2×C4—132no—
1842C2×C4—132no—
1843C2×C4—132no—
1844C2×C4—132no—
1845C2×C4—132no—
1846C2×C4—132no—
1847C2×C4—132no—
1848C2×C4—132no—
1849C2×C4—132no—
1850C2×C4—132no—
1851C2×C4—268no—
1852C2×C4—268no—
1853C2×C4—268no—
1854C2×C4—268no—
1855C2×C4—268no—
1856C2×C4—262no—
1857C2×C4—262no—
1858C2×C4—262no—
1859C2×C4—262no—
1860C2×C4—262no—
1861C2×C4—262no—
1862C2×C4—262no—
1863C2×C4—262no—
1864C2×C4—262no—
1865C2×C4—262no—
1866C2×C4—262no—
1867C2×C4—524no—
1868C2×C4—524no—
1869C2×C4—524no—
1870C2×C4—524no—
1871C2×C4—524no—
1872C2×C4—524no—
1873C2×C4—524no—
1874C2×C4—524no—
1875C2×C4—524no—
1876C2×C4—524no—
1877C2×C4—524no—
1878C2×C4—524no—
1879C2×C4C24×D1312yes—
1880C2×C4C24×D1312yes—
1881C2×C4C24×D1312yes—
1882C2×C4C24×D1312yes—
1883C2×C4C24×D1312yes—
1884C2×C4C24×D1312yes—
1885C2×C4C24×D1312yes—
1886C2×C4C24×D1312yes—
1887C2×C4C24×D1312yes—
1888C2×C4C24×D1312yes—
1889C2×C4C24×D1312yes—
1890C2×C4C24×D1312yes—
1891C22—22no—
1892C22—22no—
1893C22—22no—
1894C22—22no—
1895C22—22no—
1896C22—22no—
1897C22—22no—
1898C22—22no—
1899C22—22no—
1900C22—44no—
1901C22—44no—
1902C22—44no—
1903C22—134no—
1904C22—262no—
1905C22—268no—
1906C22—262no—
1907C22—262no—
1908C22—262no—
1909C22—262no—
1910C22—262no—
1911C22—262no—
1912C22—262no—
1913C22—262no—
1914C22—262no—
1915C22—262no—
1916C22—5216no—
1917C22—524no—
1918C22—524no—
1919C22—524no—
1920C22#1171964812yes—
1921C22D13×H(5,𝔽2)12yes—
1922C22D13×2−1+412yes—
1923C22C25×D1311yescharacteristic
1924C4—22no—
1925C4—22no—
1926C4—22no—
1927C4—22no—
1928C4—22no—
1929C4—22no—
1930C4—22no—
1931C4—22no—
1932C4—22no—
1933C4—22no—
1934C4—22no—
1935C4—22no—
1936C4—134no—
1937C4—262no—
1938C4—262no—
1939C4—262no—
1940C4—262no—
1941C4—262no—
1942C4—262no—
1943C4—262no—
1944C4—262no—
1945C4—262no—
1946C4—262no—
1947C4—262no—
1948C2—42no—
1949C2—42no—
1950C2—42no—
1951C2—264no—
1952C2—522no—
1953C2—522no—
1954C2—522no—
1955C2#1312912814yesdirect product factor
1956C2C2×D13×H(5,𝔽2)11yescharacteristic
1957C2C2×D13×2−1+411yescharacteristic
1958C2C2×#1171964811yescharacteristic
subgroupG/H
centerC23C24×D13
commutator, cosocleC22×C13C26
FrattiniC22C25×D13
FittingC2×C13×#539C2
socleC23×C13C25
hypercenterC2×#539D13
hypocenterC13C2×#3541
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C23 ◁ C2×#539

Complements

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

NH ≅ G/Ntype
1. #13129128C2direct (N × H)
2. C2×#11719404C2semidirect
3. C2×#11719351C2semidirect
4. C2×#11719372C2semidirect
5. C2×#11719352C2semidirect
6. C2×#11719407C2semidirect
7. C2×#11719395C2semidirect
8. C2×#11719395C2semidirect
9. C2×#11719216C2semidirect
10. C2×#11719414C2semidirect
11. C2×#11719263C2semidirect
12. C2×#11719366C2semidirect
13. C2×#11719398C2semidirect
14. C2×#11719337C2semidirect
15. C2×#11719338C2semidirect
16. C2×#11719257C2semidirect
17. C2×#11719212C2semidirect
18. C2×#11719345C2semidirect
19. C2×#11719367C2semidirect
20. C2×#11719266C2semidirect
21. C2×#11719406C2semidirect
22. C2×#11719365C2semidirect
23. C2×#11719409C2semidirect
24. C2×#11719362C2semidirect
25. C2×#11719362C2semidirect
26. C2×#11719318C2semidirect
27. C2×#11719313C2semidirect
28. C2×#11719353C2semidirect
29. C2×#11719252C2semidirect
30. C2×#11719361C2semidirect
31. C2×D13×C22⋊Q8C2semidirect
32. C2×C13×#539C2semidirect
36. C22×#6127C22semidirect
38. C23×Dic26C22semidirect
39. C13×#539C22semidirect
41. C2×C13×#126C22semidirect
42. C2×C13×#125C22semidirect
43. C2×C13×#125C22semidirect
47. C2×C13×#123C22semidirect
49. C2×C13×C22⋊Q8C22semidirect
50. C2×C13×C22⋊Q8C22semidirect
53. C2×C4×D4×C13C22semidirect
54. C22×C13×C4⋊C4C22semidirect
55. C2×#88201C22semidirect
57. C2×#88198C22semidirect
60. C2×#88193C22semidirect
64. C2×#88192C22semidirect
73. C2×#88183C22semidirect
74. C2×#88183C22semidirect
80. C2×C4×C22⋊D13C22semidirect
82. C2×#88178C22semidirect
83. C2×#88178C22semidirect
84. C2×#88178C22semidirect
85. #11719414C22semidirect
86. #11719409C22semidirect
87. #11719407C22semidirect
88. #11719406C22semidirect
89. #11719404C22semidirect
90. #11719398C22semidirect
91. #11719395C22semidirect
92. #11719395C22semidirect
93. #11719372C22semidirect
94. #11719367C22semidirect
95. #11719366C22semidirect
96. #11719365C22semidirect
97. #11719362C22semidirect
98. #11719362C22semidirect
99. #11719361C22semidirect
100. #11719353C22semidirect
101. #11719352C22semidirect
102. #11719351C22semidirect
103. #11719345C22semidirect
104. #11719338C22semidirect
105. #11719337C22semidirect
106. D13×C22⋊Q8C22semidirect
107. #11719318C22semidirect
108. #11719313C22semidirect
109. #11719266C22semidirect
110. #11719263C22semidirect
111. #11719257C22semidirect
112. #11719252C22semidirect
117. C2×#88152C22semidirect
118. C2×#88152C22semidirect
119. #11719216C22semidirect
123. C2×#88151C22semidirect
124. C2×#88151C22semidirect
132. C2×#88150C22semidirect
133. C2×#88150C22semidirect
134. C2×#88150C22semidirect
135. C2×#88150C22semidirect
136. C2×#88150C22semidirect
137. C2×#88150C22semidirect
138. #11719212C22semidirect
145. C2×#88148C22semidirect
151. C2×#88146C22semidirect
155. C2×C4⋊C4×D13C22semidirect
156. C2×C4⋊C4×D13C22semidirect
157. C2×#88144C22semidirect
158. C2×#88144C22semidirect
159. C2×#88143C22semidirect
160. C2×#88143C22semidirect
161. C2×#88143C22semidirect
162. C2×#88143C22semidirect
163. C2×#88142C22semidirect
164. C2×#88142C22semidirect
165. C2×#88142C22semidirect
166. C2×#88142C22semidirect
167. C2×#88142C22semidirect
168. C2×#88141C22semidirect
169. C2×#88141C22semidirect
170. C2×#88141C22semidirect
171. C2×#88140C22semidirect
178. C2×#88139C22semidirect
179. C2×#88139C22semidirect
186. C2×#88138C22semidirect
189. C2×#88137C22semidirect
195. C2×#88135C22semidirect
201. C2×#88133C22semidirect
202. C2×#88133C22semidirect
203. C2×#88133C22semidirect
207. C2×#88132C22semidirect
208. C2×#88132C22semidirect
210. C2×#88131C22semidirect
215. C2×#88126C22semidirect
216. C2×#88124C22semidirect
217. C2×C4×Dic26C22semidirect
218. C2×C4×Dic26C22semidirect
249. C2×#6127C23semidirect
281. C22×Dic26C23semidirect
283. C13×#126C23semidirect
284. C13×#125C23semidirect
285. C13×#125C23semidirect
289. C13×#123C23semidirect
291. C13×C22⋊Q8C23semidirect
292. C13×C22⋊Q8C23semidirect
295. C4×D4×C13C23semidirect
310. C2×C13×C4⋊C4C23semidirect
333. #88201C23semidirect
335. #88198C23semidirect
338. #88193C23semidirect
342. #88192C23semidirect
351. #88183C23semidirect
352. #88183C23semidirect
358. C4×C22⋊D13C23semidirect
394. #88178C23semidirect
395. #88178C23semidirect
396. #88178C23semidirect
435. #88152C23semidirect
436. #88152C23semidirect
440. #88151C23semidirect
441. #88151C23semidirect
449. #88150C23semidirect
450. #88150C23semidirect
451. #88150C23semidirect
452. #88150C23semidirect
453. #88150C23semidirect
454. #88150C23semidirect
461. #88148C23semidirect
467. #88146C23semidirect
471. C4⋊C4×D13C23semidirect
472. C4⋊C4×D13C23semidirect
473. #88144C23semidirect
474. #88144C23semidirect
475. #88143C23semidirect
476. #88143C23semidirect
477. #88143C23semidirect
478. #88143C23semidirect
479. #88142C23semidirect
480. #88142C23semidirect
481. #88142C23semidirect
482. #88142C23semidirect
483. #88142C23semidirect
484. #88141C23semidirect
485. #88141C23semidirect
486. #88141C23semidirect
487. #88140C23semidirect
494. #88139C23semidirect
495. #88139C23semidirect
502. #88138C23semidirect
505. #88137C23semidirect
511. #88135C23semidirect
517. #88133C23semidirect
518. #88133C23semidirect
519. #88133C23semidirect
523. #88132C23semidirect
524. #88132C23semidirect
526. #88131C23semidirect
531. #88126C23semidirect
532. #88124C23semidirect
533. C4×Dic26C23semidirect
534. C4×Dic26C23semidirect
803. C2×#539D13semidirect
971. #539C2×D13semidirect
997. C2×#126C2×D13semidirect
1005. C2×#125C2×D13semidirect
1006. C2×#125C2×D13semidirect
1037. C2×#123C2×D13semidirect
1068. C2×C22⋊Q8C2×D13semidirect
1069. C2×C22⋊Q8C2×D13semidirect
1116. C2×C4×D4C2×D13semidirect
1127. C22×C4⋊C4C2×D13semidirect
1269. #126C22×D13semidirect
1277. #125C22×D13semidirect
1278. #125C22×D13semidirect
1307. #123C22×D13semidirect
1337. C22⋊Q8C22×D13semidirect
1338. C22⋊Q8C22×D13semidirect
1385. C4×D4C22×D13semidirect
1444. C2×C4⋊C4C22×D13semidirect
1506. C2×C13#3541semidirect
1759. C13C2×#3541semidirect
1955. C2#13129128direct (N × H)

Maximal subgroups

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

subgroupindex
#131291282
C2×#117194042
C2×#117193512
C2×#117193722
C2×#117193522
C2×#117194072
C2×#117193952
C2×#117192162
C2×#117194142
C2×#117192632
C2×#117193662
C2×#117193982
C2×#117193372
C2×#117193382
C2×#117192572
C2×#117192122
C2×#117193452
C2×#117193672
C2×#117192662
C2×#117194062
C2×#117193652
C2×#117194092
C2×#117193622
C2×#117193182
C2×#117193132
C2×#117193532
C2×#117192522
C2×#117193612
C2×D13×C22⋊Q82
C2×C13×#5392
C2×#354113