Finite Group Databasebeta

← C2×#13129048 #16770125

Subgroups — C2×#13129048 #16770125

Order 3328.

7302 conjugacy classes of subgroups.

The subgroup lattice has 1964 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13129048C2132yesmaximal, direct product factor
2C2×#11719404C211yesmaximal, characteristic, complemented
3C2×#11719417C211yesmaximal, characteristic, complemented
4C2×#11719405C211yesmaximal, characteristic, complemented
5C2×#11719352C211yesmaximal, characteristic, complemented
6C2×#11719284C211yesmaximal, characteristic, complemented
7C2×#11719395C211yesmaximal, characteristic, complemented
8C2×#11719236C211yesmaximal, characteristic, complemented
9C2×#11719342C211yesmaximal, characteristic, complemented
10C2×#11719410C211yesmaximal, characteristic, complemented
11C2×#11719232C211yesmaximal, characteristic, complemented
12C2×#11719232C211yesmaximal, characteristic, complemented
13C2×#11719212C211yesmaximal, characteristic, complemented
14C2×#11719360C211yesmaximal, characteristic, complemented
15C2×#11719259C211yesmaximal, characteristic, complemented
16C2×#11719359C211yesmaximal, characteristic, complemented
17C2×#11719394C211yesmaximal, characteristic, complemented
18C2×#11719339C211yesmaximal, characteristic, complemented
19C2×#11719287C211yesmaximal, characteristic, complemented
20C2×#11719239C211yesmaximal, characteristic, complemented
21C2×#11719350C211yesmaximal, characteristic, complemented
22C2×#11719397C211yesmaximal, characteristic, complemented
23C2×#11719397C211yesmaximal, characteristic, complemented
24C2×#11719269C211yesmaximal, characteristic, complemented
25C2×#11719412C211yesmaximal, characteristic, complemented
26C2×#11719409C211yesmaximal, characteristic, complemented
27C2×#11719231C211yesmaximal, characteristic, complemented
28C2×#11719353C211yesmaximal, characteristic, complemented
29C2×#11719229C211yesmaximal, characteristic, complemented
30C2×D13×#123C211yesmaximal, characteristic, complemented
31C22×#88150C211yesmaximal, characteristic, complemented
32C2×C13×#552C211yesmaximal, characteristic, complemented
33C22×#6129C2211yescharacteristic
34C22×D4×D13C2211yescharacteristic
35C22×#6127C2211yescharacteristic
36C22×#6127C2211yescharacteristic, complemented
37C23×C4×D13C2211yescharacteristic
38C23×Dic26C2211yescharacteristic, complemented
39C13×#552C22116yescomplemented
40C2×C13×#126C2211yescharacteristic, complemented
41C2×C13×#126C2211yescharacteristic, complemented
42C2×C13×#125C2211yescharacteristic, complemented
43C2×C13×#125C2211yescharacteristic, complemented
44C2×C13×#125C2211yescharacteristic, complemented
45C2×C13×#123C2211yescharacteristic
46C2×C13×#123C2211yescharacteristic
47C2×C13×C22⋊Q8C2211yescharacteristic, complemented
48C2×C13×C22⋊Q8C2211yescharacteristic, complemented
49C2×C4×Q8×C13C2211yescharacteristic, complemented
50C2×C4×D4×C13C2211yescharacteristic
51C2×C13×#117C2211yescharacteristic, complemented
52C2×C13×#117C2211yescharacteristic, complemented
53C2×C13×#117C2211yescharacteristic, complemented
54C22×C13×C4⋊C4C2211yescharacteristic, complemented
55C2×#88201C2211yescharacteristic, complemented
56C2×#88200C2211yescharacteristic
57C2×#88200C2211yescharacteristic, complemented
58C2×#88200C2211yescharacteristic, complemented
59C2×#88193C2211yescharacteristic
60C2×#88189C2211yescharacteristic
61C2×#88184C2211yescharacteristic
62C2×#88184C2211yescharacteristic
63C2×#88183C2211yescharacteristic
64C2×#88183C2211yescharacteristic, complemented
65C2×#88183C2211yescharacteristic, complemented
66C2×C4×C22⋊D13C2211yescharacteristic, complemented
67C22×#6103C2211yescharacteristic
68C22×#6103C2211yescharacteristic
69C22×#6103C2211yescharacteristic
70C2×#88178C2211yescharacteristic, complemented
71C22×#6101C2211yescharacteristic, complemented
72C22×#6101C2211yescharacteristic, complemented
73#11719417C22116yescomplemented
74#11719412C22116yescomplemented
75#11719410C22116yescomplemented
76#11719409C22116yescomplemented
77#11719405C22116yescomplemented
78#11719404C22116yescomplemented
79#11719397C22116yescomplemented
80#11719397C22116yescomplemented
81#11719395C22116yescomplemented
82#11719394C22116yescomplemented
83#11719360C22116yescomplemented
84#11719359C22116yescomplemented
85D13×#123C22116yescomplemented
86#11719353C22116yescomplemented
87#11719352C22116yescomplemented
88#11719350C22116yescomplemented
89#11719342C22116yescomplemented
90#11719339C22116yescomplemented
91#11719287C22116yescomplemented
92#11719284C22116yescomplemented
93#11719269C22116yescomplemented
94#11719259C22116yescomplemented
95#11719239C22116yescomplemented
96#11719236C22116yescomplemented
97#11719232C22116yescomplemented
98#11719232C22116yescomplemented
99#11719231C22116yescomplemented
100#11719229C22116yescomplemented
101C2×#88152C2211yescharacteristic, complemented
102C2×#88152C2211yescharacteristic, complemented
103C2×#88152C2211yescharacteristic, complemented
104C2×#88152C2211yescharacteristic, complemented
105C2×#88152C2211yescharacteristic, complemented
106C2×#88152C2211yescharacteristic, complemented
107C2×#88151C2211yescharacteristic
108C2×#88151C2211yescharacteristic
109C2×#88151C2211yescharacteristic, complemented
110C2×#88151C2211yescharacteristic, complemented
111C2×#88151C2211yescharacteristic, complemented
112C2×#88151C2211yescharacteristic, complemented
113C2×#88151C2211yescharacteristic, complemented
114C2×#88150C2211yescharacteristic
115C2×#88150C2211yescharacteristic
116C2×#88150C2211yescharacteristic
117C2×#88150C2211yescharacteristic
118C2×#88150C2211yescharacteristic
119C2×#88150C2211yescharacteristic
120C2×#88150C22116yescomplemented
121C2×#88150C2211yescharacteristic, complemented
122C2×#88150C2211yescharacteristic, complemented
123C2×#88150C2211yescharacteristic, complemented
124C2×#88150C2211yescharacteristic, complemented
125C2×#88150C2211yescharacteristic, complemented
126C2×#88150C2211yescharacteristic, complemented
127C2×#88150C2211yescharacteristic, complemented
128C2×#88150C2211yescharacteristic, complemented
129C2×#88150C2211yescharacteristic, complemented
130C2×#88150C2211yescharacteristic, complemented
131C2×#88150C2211yescharacteristic, complemented
132#11719212C22116yescomplemented
133C2×#88149C2211yescharacteristic
134C2×#88149C2211yescharacteristic
135C2×#88149C2211yescharacteristic
136C2×#88149C2211yescharacteristic, complemented
137C2×#88149C2211yescharacteristic, complemented
138C2×#88148C2211yescharacteristic
139C2×#88148C2211yescharacteristic
140C2×#88148C2211yescharacteristic
141C2×#88148C2211yescharacteristic
142C2×#88148C2211yescharacteristic
143C2×#88148C2211yescharacteristic, complemented
144C2×#88148C2211yescharacteristic, complemented
145C2×#88148C2211yescharacteristic, complemented
146C2×#88148C2211yescharacteristic, complemented
147C2×#88148C2211yescharacteristic, complemented
148C2×#88148C2211yescharacteristic, complemented
149C2×#88148C2211yescharacteristic, complemented
150C2×#88147C2211yescharacteristic
151C2×#88147C2211yescharacteristic
152C2×#88147C2211yescharacteristic, complemented
153C2×#88146C2211yescharacteristic
154C2×C4⋊C4×D13C2211yescharacteristic
155C2×C4⋊C4×D13C2211yescharacteristic
156C2×C4⋊C4×D13C2211yescharacteristic, complemented
157C2×C4⋊C4×D13C2211yescharacteristic, complemented
158C2×#88144C2211yescharacteristic, complemented
159C2×#88144C2211yescharacteristic, complemented
160C2×#88143C2211yescharacteristic, complemented
161C2×#88143C2211yescharacteristic, complemented
162C2×#88143C2211yescharacteristic, complemented
163C2×#88142C2211yescharacteristic, complemented
164C2×#88142C2211yescharacteristic, complemented
165C2×#88142C2211yescharacteristic, complemented
166C2×#88142C2211yescharacteristic, complemented
167C2×#88140C2211yescharacteristic
168C2×#88140C2211yescharacteristic
169C2×#88140C2211yescharacteristic
170C2×#88140C2211yescharacteristic, complemented
171C2×#88140C2211yescharacteristic, complemented
172C2×#88140C2211yescharacteristic, complemented
173C2×#88139C2211yescharacteristic
174C2×#88139C2211yescharacteristic, complemented
175C2×#88139C2211yescharacteristic, complemented
176C2×#88138C2211yescharacteristic
177C2×#88138C2211yescharacteristic, complemented
178C2×#88137C2211yescharacteristic
179C2×#88137C2211yescharacteristic
180C2×#88137C2211yescharacteristic, complemented
181C2×#88137C2211yescharacteristic, complemented
182C2×#88136C2211yescharacteristic
183C2×#88136C2211yescharacteristic
184C2×#88136C2211yescharacteristic
185C2×#88136C2211yescharacteristic
186C2×#88135C2211yescharacteristic
187C2×#88135C2211yescharacteristic, complemented
188C2×#88135C2211yescharacteristic, complemented
189C2×C22⋊C4×D13C2211yescharacteristic
190C2×C22⋊C4×D13C2211yescharacteristic
191C2×C22⋊C4×D13C2211yescharacteristic
192C2×C22⋊C4×D13C2211yescharacteristic
193C2×#88133C2211yescharacteristic, complemented
194C2×#88132C2211yescharacteristic, complemented
195C2×#88132C2211yescharacteristic, complemented
196C2×#88132C2211yescharacteristic, complemented
197C2×#88132C2211yescharacteristic, complemented
198C2×#88131C2211yescharacteristic, complemented
199C2×#88130C2211yescharacteristic, complemented
200C2×#88130C2211yescharacteristic, complemented
201C2×#88130C2211yescharacteristic, complemented
202C2×#88129C2211yescharacteristic
203C2×#88129C2211yescharacteristic, complemented
204C2×#88129C2211yescharacteristic, complemented
205C2×#88129C2211yescharacteristic, complemented
206C2×C4×D52C2211yescharacteristic
207C2×C4×D52C2211yescharacteristic
208C2×C4×D52C2211yescharacteristic
209C2×C4×D52C2211yescharacteristic
210C2×C4×D52C2211yescharacteristic, complemented
211C2×C4×D52C2211yescharacteristic, complemented
212C2×#88126C2211yescharacteristic
213C2×#88126C2211yescharacteristic, complemented
214C2×#88124C2211yescharacteristic, complemented
215C2×#88124C2211yescharacteristic, complemented
216C2×#88123C2211yescharacteristic, complemented
217C2×#88123C2211yescharacteristic, complemented
218C2×C4×Dic26C2211yescharacteristic, complemented
219C24×D13C2311yescharacteristic
220C24×D13C2311yescharacteristic
221C22×Q8×C13C2311yescharacteristic
222C22×D4×C13C2311yescharacteristic
223C23×C4×C13C2311yescharacteristic
224C23×C4×C13C2311yescharacteristic
225C23×C4×C13C2311yescharacteristic
226C23×C4×C13C2311yescharacteristic
227C22×C22⋊D13C2311yescharacteristic
228C22×C22⋊D13C2311yescharacteristic
229C22×C22⋊D13C2311yescharacteristic
230C22×C22⋊D13C2311yescharacteristic
231C22×C22⋊D13C2311yescharacteristic
232C22×C22⋊D13C2311yescharacteristic
233C23×Dic13C2311yescharacteristic
234C23×Dic13C2311yescharacteristic
235C23×Dic13C2311yescharacteristic
236C23×Dic13C2311yescharacteristic
237C2×#6129—44no—
238C2×#6129C2318yes—
239C2×D4×D13—44no—
240C2×D4×D13C2318yes—
241C2×#6127—44no—
242C2×#6127—44no—
243C2×#6127C2318yes—
244C2×#6127C2318yescomplemented
245C22×D52C2311yescharacteristic
246C22×D52C2311yescharacteristic
247C22×D52C2311yescharacteristic
248C22×D52C2311yescharacteristic
249C22×D52C2311yescharacteristic
250C22×D52C2311yescharacteristic
251C22×D52C2311yescharacteristic
252C22×D52C2311yescharacteristic
253C22×C4×D13—44no—
254C22×C4×D13C2311yescharacteristic
255C22×C4×D13C2311yescharacteristic
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×D13C2318yes—
270C22×Dic26—44no—
271C22×Dic26C2311yescharacteristic
272C22×Dic26C2311yescharacteristic
273C22×Dic26C2311yescharacteristic
274C22×Dic26C2311yescharacteristic
275C22×Dic26C2311yescharacteristic
276C22×Dic26C2311yescharacteristic
277C22×Dic26C2311yescharacteristic
278C22×Dic26C2311yescharacteristic
279C22×Dic26C2318yescomplemented
280C13×#126C2318yescomplemented
281C13×#126C2318yescomplemented
282C13×#125C2318yescomplemented
283C13×#125C2318yescomplemented
284C13×#125C2318yescomplemented
285C13×#123C2318yes—
286C13×#123C2318yes—
287C13×C22⋊Q8C2318yescomplemented
288C13×C22⋊Q8C2318yescomplemented
289C4×Q8×C13C2318yescomplemented
290C4×D4×C13C2318yes—
291C13×#117C2318yescomplemented
292C13×#117C2318yescomplemented
293C13×#117C2318yescomplemented
294C2×C13×C4⋊C4C2311yescharacteristic
295C2×C13×C4⋊C4C2311yescharacteristic
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×C42×C13C2311yescharacteristic
320C2×C42×C13C2311yescharacteristic
321C2×C42×C13C2311yescharacteristic
322C2×C42×C13C2311yescharacteristic
323C2×C42×C13C2311yescharacteristic
324C2×C22⋊Dic13C2311yescharacteristic
325C2×C22⋊Dic13C2311yescharacteristic
326C2×C22⋊Dic13C2311yescharacteristic
327C2×C22⋊Dic13C2311yescharacteristic
328#88201C2318yescomplemented
329#88200C2318yes—
330#88200C2318yescomplemented
331#88200C2318yescomplemented
332#88193C2318yes—
333#88189C2318yes—
334#88184C2318yes—
335#88184C2318yes—
336#88183C2318yes—
337#88183C2318yescomplemented
338#88183C2318yescomplemented
339C4×C22⋊D13C2318yescomplemented
340C2×#6103C2311yescharacteristic
341C2×#6103C2311yescharacteristic
342C2×#6103C2311yescharacteristic
343C2×#6103C2311yescharacteristic
344C2×#6103C2311yescharacteristic
345C2×#6103C2311yescharacteristic
346C2×#6103C2311yescharacteristic
347C2×#6103C2311yescharacteristic
348C2×#6103C2311yescharacteristic
349C2×#6103C2311yescharacteristic
350C2×#6103C2311yescharacteristic
351C2×#6103C2311yescharacteristic
352C2×#6103C2311yescharacteristic
353C2×#6103C2311yescharacteristic
354C2×#6103C2311yescharacteristic
355C2×#6103C2311yescharacteristic
356C2×#6103C2311yescharacteristic
357C2×#6103C2311yescharacteristic
358C2×#6103C2311yescharacteristic
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×#6103C2318yes—
375C2×#6103C2318yes—
376C2×#6103C2318yes—
377C2×C4⋊Dic13C2311yescharacteristic
378C2×C4⋊Dic13C2311yescharacteristic
379C2×C4⋊Dic13C2311yescharacteristic
380C2×C4⋊Dic13C2311yescharacteristic
381C2×C4⋊Dic13C2311yescharacteristic
382C2×C4⋊Dic13C2311yescharacteristic
383C2×C4⋊Dic13C2311yescharacteristic
384C2×C4⋊Dic13C2311yescharacteristic
385C2×C4⋊Dic13C2311yescharacteristic
386C2×C4⋊Dic13C2311yescharacteristic
387C2×C4⋊Dic13C2311yescharacteristic
388C2×C4⋊Dic13C2311yescharacteristic
389#88178C2318yescomplemented
390C2×#6101C2311yescharacteristic
391C2×#6101C2311yescharacteristic
392C2×#6101C2311yescharacteristic
393C2×#6101C2311yescharacteristic
394C2×#6101C2311yescharacteristic
395C2×#6101C2311yescharacteristic
396C2×#6101C2311yescharacteristic
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×#6101C2318yescomplemented
413C2×#6101C2318yescomplemented
414C2×C4×Dic13C2311yescharacteristic
415C2×C4×Dic13C2311yescharacteristic
416C2×C4×Dic13C2311yescharacteristic
417C2×C4×Dic13C2311yescharacteristic
418C2×C4×Dic13C2311yescharacteristic
419#88152C2318yescomplemented
420#88152C2318yescomplemented
421#88152C2318yescomplemented
422#88152C2318yescomplemented
423#88152C2318yescomplemented
424#88152C2318yescomplemented
425#88151C2318yes—
426#88151C2318yes—
427#88151C2318yescomplemented
428#88151C2318yescomplemented
429#88151C2318yescomplemented
430#88151C2318yescomplemented
431#88151C2318yescomplemented
432#88150C2318yes—
433#88150C2318yes—
434#88150C2318yes—
435#88150C2318yes—
436#88150C2318yes—
437#88150C2318yes—
438#88150C2318yescomplemented
439#88150C2318yescomplemented
440#88150C2318yescomplemented
441#88150C2318yescomplemented
442#88150C2318yescomplemented
443#88150C2318yescomplemented
444#88150C2318yescomplemented
445#88150C2318yescomplemented
446#88150C2318yescomplemented
447#88150C2318yescomplemented
448#88150C2318yescomplemented
449#88149C2318yes—
450#88149C2318yes—
451#88149C2318yes—
452#88149C2318yescomplemented
453#88149C2318yescomplemented
454#88148C2318yes—
455#88148C2318yes—
456#88148C2318yes—
457#88148C2318yes—
458#88148C2318yes—
459#88148C2318yescomplemented
460#88148C2318yescomplemented
461#88148C2318yescomplemented
462#88148C2318yescomplemented
463#88148C2318yescomplemented
464#88148C2318yescomplemented
465#88148C2318yescomplemented
466#88147C2318yes—
467#88147C2318yes—
468#88147C2318yescomplemented
469#88146C2318yes—
470C4⋊C4×D13C2318yes—
471C4⋊C4×D13C2318yes—
472C4⋊C4×D13C2318yescomplemented
473C4⋊C4×D13C2318yescomplemented
474#88144C2318yescomplemented
475#88144C2318yescomplemented
476#88143C2318yescomplemented
477#88143C2318yescomplemented
478#88143C2318yescomplemented
479#88142C2318yescomplemented
480#88142C2318yescomplemented
481#88142C2318yescomplemented
482#88142C2318yescomplemented
483#88140C2318yes—
484#88140C2318yes—
485#88140C2318yes—
486#88140C2318yescomplemented
487#88140C2318yescomplemented
488#88140C2318yescomplemented
489#88139C2318yes—
490#88139C2318yescomplemented
491#88139C2318yescomplemented
492#88138C2318yes—
493#88138C2318yescomplemented
494#88137C2318yes—
495#88137C2318yes—
496#88137C2318yescomplemented
497#88137C2318yescomplemented
498#88136C2318yes—
499#88136C2318yes—
500#88136C2318yes—
501#88136C2318yes—
502#88135C2318yes—
503#88135C2318yescomplemented
504#88135C2318yescomplemented
505C22⋊C4×D13C2318yes—
506C22⋊C4×D13C2318yes—
507C22⋊C4×D13C2318yes—
508C22⋊C4×D13C2318yes—
509#88133C2318yescomplemented
510#88132C2318yescomplemented
511#88132C2318yescomplemented
512#88132C2318yescomplemented
513#88132C2318yescomplemented
514#88131C2318yescomplemented
515#88130C2318yescomplemented
516#88130C2318yescomplemented
517#88130C2318yescomplemented
518#88129C2318yes—
519#88129C2318yescomplemented
520#88129C2318yescomplemented
521#88129C2318yescomplemented
522C4×D52C2318yes—
523C4×D52C2318yes—
524C4×D52C2318yes—
525C4×D52C2318yes—
526C4×D52C2318yescomplemented
527C4×D52C2318yescomplemented
528#88126C2318yes—
529#88126C2318yescomplemented
530#88124C2318yescomplemented
531#88124C2318yescomplemented
532#88123C2318yescomplemented
533#88123C2318yescomplemented
534C4×Dic26C2318yescomplemented
535C2×#3535—131nomaximal, Sylow
536C24×C13C2411yescharacteristic
537C24×C13C2411yescharacteristic
538C23×D13—24no—
539C23×D13—24no—
540C23×D13—24no—
541C23×D13—42no—
542C23×D13—42no—
543C23×D13—42no—
544C23×D13C2411yescharacteristic
545C23×D13C2411yescharacteristic
546C23×D13C2411yescharacteristic
547C23×D13C2411yescharacteristic
548C23×D13C2414yes—
549C23×D13C2411yescharacteristic
550C23×D13C2414yes—
551C2×Q8×C13—42no—
552C2×Q8×C13C2414yes—
553C2×D4×C13—24no—
554C2×D4×C13C2414yes—
555C22×C4×C13—24no—
556C22×C4×C13—24no—
557C22×C4×C13—42no—
558C22×C4×C13—42no—
559C22×C4×C13C2411yescharacteristic
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—
576C2×C22⋊D13—24no—
577C2×C22⋊D13—24no—
578C2×C22⋊D13—24no—
579C2×C22⋊D13—42no—
580C2×C22⋊D13—42no—
581C2×C22⋊D13—42no—
582C2×C22⋊D13C2414yes—
583C2×C22⋊D13C2414yes—
584C2×C22⋊D13C2414yes—
585C2×C22⋊D13C2414yes—
586C2×C22⋊D13C2414yes—
587C2×C22⋊D13C2414yes—
588C22×Dic13—24no—
589C22×Dic13—24no—
590C22×Dic13—42no—
591C22×Dic13—42no—
592C22×Dic13C2414yes—
593C22×Dic13C2414yes—
594C22×Dic13C2411yescharacteristic
595C22×Dic13C2411yescharacteristic
596C22×Dic13C2411yescharacteristic
597C22×Dic13C2411yescharacteristic
598C22×Dic13C2411yescharacteristic
599C22×Dic13C2411yescharacteristic
600C22×Dic13C2411yescharacteristic
601C22×Dic13C2411yescharacteristic
602C22×Dic13C2411yescharacteristic
603C22×Dic13C2411yescharacteristic
604C22×Dic13C2411yescharacteristic
605C22×Dic13C2414yes—
606C22×Dic13C2414yes—
607#6129—416no—
608D4×D13—416no—
609#6127—416no—
610#6127—416no—
611C2×D52—24no—
612C2×D52—24no—
613C2×D52—42no—
614C2×D52—42no—
615C2×D52—42no—
616C2×D52—42no—
617C2×D52—42no—
618C2×D52—42no—
619C2×D52C2414yes—
620C2×D52C2414yes—
621C2×D52C2414yes—
622C2×D52C2414yes—
623C2×D52C2414yes—
624C2×D52C2414yes—
625C2×D52C2414yes—
626C2×D52C2414yes—
627C2×C4×D13—24no—
628C2×C4×D13—42no—
629C2×C4×D13—42no—
630C2×C4×D13—42no—
631C2×C4×D13—42no—
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×D13C2414yes—
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—42no—
659C2×Dic26—42no—
660C2×Dic26—42no—
661C2×Dic26—42no—
662C2×Dic26—416no—
663C2×Dic26—42no—
664C2×Dic26—42no—
665C2×Dic26—42no—
666C2×Dic26—42no—
667C2×Dic26C2414yes—
668C2×Dic26C2414yes—
669C2×Dic26C2414yes—
670C2×Dic26C2414yes—
671C2×Dic26C2414yes—
672C2×Dic26C2414yes—
673C2×Dic26C2414yes—
674C2×Dic26C2414yes—
675C13×C4⋊C4C2414yes—
676C13×C4⋊C4C2414yes—
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—
699C42×C13C2414yes—
700C42×C13C2414yes—
701C42×C13C2414yes—
702C42×C13C2414yes—
703C42×C13C2414yes—
704C22⋊Dic13C2414yes—
705C22⋊Dic13C2414yes—
706C22⋊Dic13C2414yes—
707C22⋊Dic13C2414yes—
708#6103C2414yes—
709#6103C2414yes—
710#6103C2414yes—
711#6103C2414yes—
712#6103C2414yes—
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—
737#6103C2414yes—
738#6103C2414yes—
739#6103C2414yes—
740#6103C2414yes—
741#6103C2414yes—
742C4⋊Dic13C2414yes—
743C4⋊Dic13C2414yes—
744C4⋊Dic13C2414yes—
745C4⋊Dic13C2414yes—
746C4⋊Dic13C2414yes—
747C4⋊Dic13C2414yes—
748C4⋊Dic13C2414yes—
749C4⋊Dic13C2414yes—
750C4⋊Dic13C2414yes—
751C4⋊Dic13C2414yes—
752C4⋊Dic13C2414yes—
753C4⋊Dic13C2414yes—
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—
771#6101C2414yes—
772#6101C2414yes—
773#6101C2414yes—
774#6101C2414yes—
775#6101C2414yes—
776C4×Dic13C2414yes—
777C4×Dic13C2414yes—
778C4×Dic13C2414yes—
779C4×Dic13C2414yes—
780C4×Dic13C2414yes—
781#3535—1332no—
782C2×#563—131no—
783C2×#563—131no—
784C2×#562—131no—
785C2×#562—131no—
786C2×#554—131no—
787C2×#554—131no—
788C2×#552—131no—
789C2×#552D1311yescharacteristic, complemented
790C2×#551—131no—
791C2×#551—131no—
792C2×#551—131no—
793C2×#551—131no—
794C2×#547—131no—
795C2×#547—131no—
796C2×#546—131no—
797C2×#546—131no—
798C2×#544—131no—
799C2×#543—131no—
800C2×#542—131no—
801C2×#542—131no—
802C2×#539—131no—
803C2×#539—131no—
804C2×#539—131no—
805C2×#539—131no—
806C2×#539—131no—
807C2×#538—131no—
808C2×#536—131no—
809C2×#536—131no—
810C2×#525—131no—
811C22×#123—131no—
812C22×C22⋊Q8—131no—
813C23×C13—22no—
814C23×C13—22no—
815C23×C13—22no—
816C23×C13—22no—
817C23×C13—22no—
818C23×C13H(5,𝔽2)14yes—
819C23×C13C2512yes—
820C23×C13C2512yes—
821C23×C13C2511yescharacteristic
822C22×D13—22no—
823C22×D13—22no—
824C22×D13—22no—
825C22×D13—22no—
826C22×D13—22no—
827C22×D13—28no—
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—28no—
839C22×D13—44no—
840C22×D13—44no—
841C22×D13—44no—
842C22×D13—416no—
843C22×D13—88no—
844C22×D132−1+414yes—
845C22×D13C2512yes—
846C22×D13C2512yes—
847C22×D13C2512yes—
848C22×D13C2512yes—
849C22×D13C2512yes—
850Q8×C13—44no—
851D4×C13—28no—
852C2×C4×C13—22no—
853C2×C4×C13—22no—
854C2×C4×C13—28no—
855C2×C4×C13—22no—
856C2×C4×C13—22no—
857C2×C4×C13—22no—
858C2×C4×C13—28no—
859C2×C4×C13—22no—
860C2×C4×C13—22no—
861C2×C4×C13—22no—
862C2×C4×C13—22no—
863C2×C4×C13—22no—
864C2×C4×C13—22no—
865C2×C4×C13—22no—
866C2×C4×C13—22no—
867C2×C4×C13—44no—
868C2×C4×C13—44no—
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—
879C2×C4×C13C2512yes—
880C2×C4×C13C2512yes—
881C2×C4×C13C2512yes—
882C22⋊D13—28no—
883C22⋊D13—28no—
884C22⋊D13—28no—
885C22⋊D13—44no—
886C22⋊D13—44no—
887C22⋊D13—44no—
888C2×Dic13—22no—
889C2×Dic13—28no—
890C2×Dic13—22no—
891C2×Dic13—22no—
892C2×Dic13—22no—
893C2×Dic13—22no—
894C2×Dic13—22no—
895C2×Dic13—28no—
896C2×Dic13—22no—
897C2×Dic13—22no—
898C2×Dic13—22no—
899C2×Dic13—22no—
900C2×Dic13—22no—
901C2×Dic13—44no—
902C2×Dic13—44no—
903C2×Dic13C2512yes—
904C2×Dic13C2512yes—
905C2×Dic13C2512yes—
906C2×Dic13C2512yes—
907C2×Dic13C2512yes—
908C2×Dic13C2512yes—
909C2×Dic13C2512yes—
910C2×Dic13C2512yes—
911C2×Dic13C2512yes—
912C2×Dic13C2512yes—
913C2×Dic13C2512yes—
914D52—28no—
915D52—28no—
916D52—44no—
917D52—44no—
918D52—44no—
919D52—44no—
920D52—44no—
921D52—44no—
922C4×D13—28no—
923C4×D13—44no—
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—
935C4×D13—44no—
936C4×D13—44no—
937Dic26—44no—
938Dic26—44no—
939Dic26—44no—
940Dic26—44no—
941Dic26—44no—
942Dic26—44no—
943Dic26—44no—
944Dic26—44no—
945C22×#41—131no—
946C22×#41—131no—
947C22×#41—131no—
948C23×Q8—131no—
949C23×D4—131no—
950C24×C4—131no—
951#563—1316no—
952#563—1316no—
953#562—1316no—
954#562—1316no—
955#554—1316no—
956#554—1316no—
957#552—1316no—
958#552C2×D13116yescomplemented
959#551—1316no—
960#551—1316no—
961#551—1316no—
962#551—1316no—
963#547—1316no—
964#547—1316no—
965#546—1316no—
966#546—1316no—
967#544—1316no—
968#543—1316no—
969#542—1316no—
970#542—1316no—
971#539—1316no—
972#539—1316no—
973#539—1316no—
974#539—1316no—
975#539—1316no—
976#538—1316no—
977#536—1316no—
978#536—1316no—
979C2×C4⋊Q8—131no—
980C2×C4⋊Q8—131no—
981C2×C4⋊Q8—131no—
982C2×C4⋊Q8—131no—
983C2×C4⋊Q8—131no—
984C2×C4⋊Q8—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×#126C2×D1311yescharacteristic, complemented
996C2×#126C2×D1311yescharacteristic, complemented
997C2×#125—131no—
998C2×#125—131no—
999C2×#125—131no—
1000C2×#125—131no—
1001C2×#125—131no—
1002C2×#125—131no—
1003C2×#125—131no—
1004C2×#125C2×D1311yescharacteristic, complemented
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—
1015#525—1316no—
1016C2×#123—131no—
1017C2×#123—131no—
1018C2×#123—131no—
1019C2×#123—131no—
1020C2×#123—1316no—
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×#123—131no—
1035C2×#123—131no—
1036C2×#123—131no—
1037C2×#123—131no—
1038C2×#123—131no—
1039C2×#123—131no—
1040C2×#123—131no—
1041C2×#123—131no—
1042C2×#123—131no—
1043C2×#123C2×D1311yescharacteristic
1044C2×#123C2×D1311yescharacteristic
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⋊Q8—131no—
1068C2×C22⋊Q8—131no—
1069C2×C22⋊Q8—131no—
1070C2×C22⋊Q8—131no—
1071C2×C22⋊Q8—131no—
1072C2×C22⋊Q8—131no—
1073C2×C22⋊Q8—1316no—
1074C2×C22⋊Q8—131no—
1075C2×C22⋊Q8—131no—
1076C2×C22⋊Q8—131no—
1077C2×C22⋊Q8—131no—
1078C2×C22⋊Q8C2×D1311yescharacteristic, complemented
1079C2×C22⋊Q8C2×D1311yescharacteristic, complemented
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×#121—131no—
1089C2×#121—131no—
1090C2×#120—131no—
1091C2×#120—131no—
1092C2×#120—131no—
1093C2×#120—131no—
1094C2×C4×Q8—131no—
1095C2×C4×Q8C2×D1311yescharacteristic, complemented
1096C2×C4×D4—131no—
1097C2×C4×D4—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×D4C2×D1311yescharacteristic
1110C2×#117—131no—
1111C2×#117—131no—
1112C2×#117—131no—
1113C2×#117—131no—
1114C2×#117C2×D1311yescharacteristic, complemented
1115C2×#117C2×D1311yescharacteristic, complemented
1116C2×#117C2×D1311yescharacteristic, complemented
1117C22×C4⋊C4—131no—
1118C22×C4⋊C4—131no—
1119C22×C4⋊C4—131no—
1120C22×C4⋊C4—131no—
1121C22×C4⋊C4—131no—
1122C22×C4⋊C4—131no—
1123C22×C4⋊C4C2×D1311yescharacteristic, complemented
1124C22×C22⋊C4—131no—
1125C22×C22⋊C4—131no—
1126C22×C22⋊C4—131no—
1127C22×C22⋊C4—131no—
1128C22×C22⋊C4—131no—
1129C22×C22⋊C4—131no—
1130C22×C22⋊C4—131no—
1131C22×C13—22no—
1132C22×C13—22no—
1133C22×C13—28no—
1134C22×C13—22no—
1135C22×C13—22no—
1136C22×C13—22no—
1137C22×C13—44no—
1138C22×C13C2×H(5,𝔽2)14yes—
1139C22×C13C2×H(5,𝔽2)12yes—
1140C22×C13C2×2−1+412yes—
1141C22×C13#58512yes—
1142C22×C13C2611yescharacteristic
1143C2×D13—22no—
1144C2×D13—22no—
1145C2×D13—28no—
1146C2×D13—22no—
1147C2×D13—22no—
1148C2×D13—22no—
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×D13—44no—
1163C2×D13—88no—
1164C2×D13C2×2−1+414yes—
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—
1175C4×C13—22no—
1176C4×C13—22no—
1177C4×C13—22no—
1178Dic13—22no—
1179Dic13—22no—
1180Dic13—22no—
1181Dic13—22no—
1182Dic13—22no—
1183Dic13—22no—
1184Dic13—22no—
1185Dic13—22no—
1186Dic13—22no—
1187Dic13—22no—
1188Dic13—22no—
1189C25—131no—
1190C25—131no—
1191C2×#41—138no—
1192C2×#41—138no—
1193C2×#41—138no—
1194C2×#41—524no—
1195C2×#41—524no—
1196C2×#41—524no—
1197C22×Q8—131no—
1198C22×Q8—131no—
1199C22×Q8—131no—
1200C22×Q8—131no—
1201C22×Q8—131no—
1202C22×Q8—131no—
1203C22×Q8—131no—
1204C22×Q8—131no—
1205C22×Q8—138no—
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—138no—
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×D4—524no—
1224C22×D4C22×D1311yescharacteristic
1225C23×C4—131no—
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—131no—
1244C23×C4—138no—
1245C23×C4—524no—
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#126C22×D1318yescomplemented
1267#126C22×D1318yescomplemented
1268#125—138no—
1269#125—138no—
1270#125—138no—
1271#125—138no—
1272#125—138no—
1273#125—138no—
1274#125—138no—
1275#125C22×D1318yescomplemented
1276#125C22×D1318yescomplemented
1277#125C22×D1318yescomplemented
1278#124—138no—
1279#124—138no—
1280#124—138no—
1281#124—138no—
1282#124—138no—
1283#124—138no—
1284#124—138no—
1285#124—138no—
1286#123—138no—
1287#123—138no—
1288#123—138no—
1289#123—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#123—138no—
1305#123—138no—
1306#123—138no—
1307#123—138no—
1308#123—138no—
1309#123—138no—
1310#123—138no—
1311#123—138no—
1312#123C22×D1318yes—
1313#123C22×D1318yes—
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⋊Q8—138no—
1337C22⋊Q8—138no—
1338C22⋊Q8—138no—
1339C22⋊Q8—138no—
1340C22⋊Q8—138no—
1341C22⋊Q8—138no—
1342C22⋊Q8—138no—
1343C22⋊Q8—138no—
1344C22⋊Q8—138no—
1345C22⋊Q8—138no—
1346C22⋊Q8C22×D1318yescomplemented
1347C22⋊Q8C22×D1318yescomplemented
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#121—138no—
1358#120—138no—
1359#120—138no—
1360#120—138no—
1361#120—138no—
1362C4×Q8—138no—
1363C4×Q8C22×D1318yescomplemented
1364C4×D4—138no—
1365C4×D4—138no—
1366C4×D4—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×D4C22×D1318yes—
1378#117—138no—
1379#117—138no—
1380#117—138no—
1381#117—138no—
1382#117C22×D1318yescomplemented
1383#117C22×D1318yescomplemented
1384#117C22×D1318yescomplemented
1385C2×C4⋊C4—131no—
1386C2×C4⋊C4—131no—
1387C2×C4⋊C4—131no—
1388C2×C4⋊C4—131no—
1389C2×C4⋊C4—131no—
1390C2×C4⋊C4—131no—
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—138no—
1401C2×C4⋊C4—138no—
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—138no—
1422C2×C4⋊C4—138no—
1423C2×C4⋊C4—138no—
1424C2×C4⋊C4—138no—
1425C2×C4⋊C4C22×D1311yescharacteristic
1426C2×C4⋊C4C22×D1311yescharacteristic
1427C2×C4⋊C4C22×D1311yescharacteristic
1428C2×C4⋊C4C22×D1311yescharacteristic
1429C2×C4⋊C4C22×D1311yescharacteristic
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×D1318yescomplemented
1442C2×C22⋊C4—131no—
1443C2×C22⋊C4—131no—
1444C2×C22⋊C4—131no—
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—138no—
1462C2×C22⋊C4—138no—
1463C2×C22⋊C4—131no—
1464C2×C22⋊C4—131no—
1465C2×C22⋊C4—131no—
1466C2×C22⋊C4—138no—
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—131no—
1480C2×C22⋊C4—131no—
1481C2×C22⋊C4—131no—
1482C2×C22⋊C4—131no—
1483C2×C22⋊C4—138no—
1484C2×C22⋊C4—138no—
1485C2×C22⋊C4—138no—
1486C2×C22⋊C4—138no—
1487C2×C22⋊C4C22×D1311yescharacteristic
1488C2×C22⋊C4C22×D1311yescharacteristic
1489C2×C22⋊C4C22×D1311yescharacteristic
1490C2×C22⋊C4C22×D1311yescharacteristic
1491C2×C22⋊C4C22×D1311yescharacteristic
1492C2×C22⋊C4C22×D1311yescharacteristic
1493C2×C22⋊C4C22×D1311yescharacteristic
1494C2×C22⋊C4C22×D1311yescharacteristic
1495C2×C42—131no—
1496C2×C42—131no—
1497C2×C42—131no—
1498C2×C42—131no—
1499C2×C42—131no—
1500C2×C42C22×D1311yescharacteristic
1501C2×C42C22×D1311yescharacteristic
1502C2×C42C22×D1311yescharacteristic
1503C2×C42C22×D1311yescharacteristic
1504C2×C42C22×D1311yescharacteristic
1505C2×C13—24no—
1506C2×C13—42no—
1507C2×C13#353514yescomplemented
1508C2×C13C22×H(5,𝔽2)11yescharacteristic
1509C2×C13C22×2−1+411yescharacteristic
1510C2×C13C2×#58511yescharacteristic
1511D13—24no—
1512D13—42no—
1513D13—42no—
1514D13—42no—
1515D13—42no—
1516C24—131no—
1517C24—131no—
1518C24—131no—
1519C24—131no—
1520C24—131no—
1521C24—134no—
1522C24—134no—
1523C24—264no—
1524C24—264no—
1525C24—264no—
1526C24—522no—
1527C24—522no—
1528C24—522no—
1529C24C23×D1311yescharacteristic
1530C24C23×D1311yescharacteristic
1531#41—5216no—
1532#41—5216no—
1533#41—5216no—
1534C2×Q8—42no—
1535C2×Q8—134no—
1536C2×Q8—134no—
1537C2×Q8—134no—
1538C2×Q8—134no—
1539C2×Q8—134no—
1540C2×Q8—134no—
1541C2×Q8—134no—
1542C2×Q8—134no—
1543C2×Q8—522no—
1544C2×Q8—522no—
1545C2×Q8—522no—
1546C2×Q8—522no—
1547C2×Q8—5216no—
1548C2×Q8—522no—
1549C2×Q8—522no—
1550C2×Q8—522no—
1551C2×Q8—522no—
1552C2×Q8C23×D1314yes—
1553C2×D4—24no—
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—5216no—
1583C2×D4C23×D1314yes—
1584C22×C4—24no—
1585C22×C4—24no—
1586C22×C4—42no—
1587C22×C4—42no—
1588C22×C4—134no—
1589C22×C4—134no—
1590C22×C4—131no—
1591C22×C4—131no—
1592C22×C4—131no—
1593C22×C4—131no—
1594C22×C4—131no—
1595C22×C4—131no—
1596C22×C4—131no—
1597C22×C4—131no—
1598C22×C4—131no—
1599C22×C4—131no—
1600C22×C4—131no—
1601C22×C4—134no—
1602C22×C4—134no—
1603C22×C4—134no—
1604C22×C4—134no—
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—264no—
1619C22×C4—264no—
1620C22×C4—264no—
1621C22×C4—522no—
1622C22×C4—522no—
1623C22×C4—522no—
1624C22×C4—522no—
1625C22×C4—5216no—
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—522no—
1637C22×C4—522no—
1638C22×C4C23×D1314yes—
1639C22×C4C23×D1314yes—
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×D1311yescharacteristic
1651C22×C4C23×D1311yescharacteristic
1652C22×C4C23×D1311yescharacteristic
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—
1703C4⋊C4C23×D1314yes—
1704C4⋊C4C23×D1314yes—
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⋊C4—134no—
1738C22⋊C4—134no—
1739C22⋊C4—134no—
1740C22⋊C4—134no—
1741C22⋊C4—134no—
1742C22⋊C4—134no—
1743C22⋊C4C23×D1314yes—
1744C22⋊C4C23×D1314yes—
1745C22⋊C4C23×D1314yes—
1746C22⋊C4C23×D1314yes—
1747C22⋊C4C23×D1314yes—
1748C22⋊C4C23×D1314yes—
1749C22⋊C4C23×D1314yes—
1750C22⋊C4C23×D1314yes—
1751C42—134no—
1752C42—134no—
1753C42—134no—
1754C42—134no—
1755C42—134no—
1756C42C23×D1314yes—
1757C42C23×D1314yes—
1758C42C23×D1314yes—
1759C42C23×D1314yes—
1760C42C23×D1314yes—
1761C13C2×#353511yescharacteristic, complemented, Sylow
1762C23—22no—
1763C23—22no—
1764C23—22no—
1765C23—22no—
1766C23—22no—
1767C23—134no—
1768C23—132no—
1769C23—132no—
1770C23—132no—
1771C23—132no—
1772C23—132no—
1773C23—268no—
1774C23—268no—
1775C23—262no—
1776C23—262no—
1777C23—262no—
1778C23—262no—
1779C23—268no—
1780C23—262no—
1781C23—262no—
1782C23—262no—
1783C23—262no—
1784C23—262no—
1785C23—262no—
1786C23—262no—
1787C23—262no—
1788C23—262no—
1789C23—262no—
1790C23—524no—
1791C23—524no—
1792C23—524no—
1793C23—5216no—
1794C23—1048no—
1795C23#8825614yes—
1796C23C24×D1312yes—
1797C23C24×D1312yes—
1798C23C24×D1311yescharacteristic
1799Q8—44no—
1800Q8—524no—
1801Q8—524no—
1802Q8—524no—
1803Q8—524no—
1804Q8—524no—
1805Q8—524no—
1806Q8—524no—
1807Q8—524no—
1808D4—28no—
1809D4—268no—
1810D4—268no—
1811D4—268no—
1812D4—268no—
1813D4—268no—
1814D4—524no—
1815D4—524no—
1816D4—524no—
1817D4—524no—
1818D4—524no—
1819D4—524no—
1820D4—524no—
1821D4—524no—
1822D4—524no—
1823C2×C4—22no—
1824C2×C4—22no—
1825C2×C4—22no—
1826C2×C4—28no—
1827C2×C4—22no—
1828C2×C4—28no—
1829C2×C4—22no—
1830C2×C4—22no—
1831C2×C4—22no—
1832C2×C4—22no—
1833C2×C4—22no—
1834C2×C4—22no—
1835C2×C4—22no—
1836C2×C4—22no—
1837C2×C4—22no—
1838C2×C4—44no—
1839C2×C4—44no—
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—262no—
1854C2×C4—262no—
1855C2×C4—262no—
1856C2×C4—262no—
1857C2×C4—268no—
1858C2×C4—262no—
1859C2×C4—262no—
1860C2×C4—262no—
1861C2×C4—262no—
1862C2×C4—262no—
1863C2×C4—262no—
1864C2×C4—262no—
1865C2×C4—524no—
1866C2×C4—524no—
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×C4—524no—
1880C2×C4—524no—
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—
1891C2×C4C24×D1312yes—
1892C2×C4C24×D1312yes—
1893C2×C4C24×D1312yes—
1894C22—28no—
1895C22—22no—
1896C22—22no—
1897C22—22no—
1898C22—22no—
1899C22—22no—
1900C22—44no—
1901C22—134no—
1902C22—268no—
1903C22—262no—
1904C22—262no—
1905C22—262no—
1906C22—262no—
1907C22—262no—
1908C22—262no—
1909C22—262no—
1910C22—262no—
1911C22—262no—
1912C22—262no—
1913C22—262no—
1914C22—262no—
1915C22—262no—
1916C22—262no—
1917C22—5216no—
1918C22—524no—
1919C22—524no—
1920C22—524no—
1921C22—524no—
1922C22—1048no—
1923C22C2×#8825614yes—
1924C22C2×#8825612yes—
1925C22#1171964812yes—
1926C22D13×2−1+412yes—
1927C22C25×D1311yescharacteristic
1928C4—22no—
1929C4—22no—
1930C4—22no—
1931C4—22no—
1932C4—22no—
1933C4—22no—
1934C4—22no—
1935C4—22no—
1936C4—22no—
1937C4—22no—
1938C4—22no—
1939C4—22no—
1940C4—22no—
1941C4—262no—
1942C4—262no—
1943C4—262no—
1944C4—262no—
1945C4—262no—
1946C4—262no—
1947C4—262no—
1948C4—262no—
1949C4—262no—
1950C4—262no—
1951C4—262no—
1952C2—24no—
1953C2—42no—
1954C2—264no—
1955C2—522no—
1956C2—522no—
1957C2—522no—
1958C2—522no—
1959C2#1312904814yesdirect product factor
1960C2C22×#8825611yescharacteristic
1961C2C2×D13×2−1+411yescharacteristic
1962C2C2×#1171964811yescharacteristic
subgroupG/H
centerC23C24×D13
commutator, cosocleC22×C13C26
FrattiniC22C25×D13
FittingC2×C13×#552C2
socleC23×C13C25
hypercenterC2×#552D13
hypocenterC13C2×#3535
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C23 ◁ C2×#552

Complements

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

NH ≅ G/Ntype
1. #13129048C2direct (N × H)
2. C2×#11719404C2semidirect
3. C2×#11719417C2semidirect
4. C2×#11719405C2semidirect
5. C2×#11719352C2semidirect
6. C2×#11719284C2semidirect
7. C2×#11719395C2semidirect
8. C2×#11719236C2semidirect
9. C2×#11719342C2semidirect
10. C2×#11719410C2semidirect
11. C2×#11719232C2semidirect
12. C2×#11719232C2semidirect
13. C2×#11719212C2semidirect
14. C2×#11719360C2semidirect
15. C2×#11719259C2semidirect
16. C2×#11719359C2semidirect
17. C2×#11719394C2semidirect
18. C2×#11719339C2semidirect
19. C2×#11719287C2semidirect
20. C2×#11719239C2semidirect
21. C2×#11719350C2semidirect
22. C2×#11719397C2semidirect
23. C2×#11719397C2semidirect
24. C2×#11719269C2semidirect
25. C2×#11719412C2semidirect
26. C2×#11719409C2semidirect
27. C2×#11719231C2semidirect
28. C2×#11719353C2semidirect
29. C2×#11719229C2semidirect
30. C2×D13×#123C2semidirect
31. C22×#88150C2semidirect
32. C2×C13×#552C2semidirect
36. C22×#6127C22semidirect
38. C23×Dic26C22semidirect
39. C13×#552C22semidirect
40. C2×C13×#126C22semidirect
41. C2×C13×#126C22semidirect
42. C2×C13×#125C22semidirect
43. C2×C13×#125C22semidirect
44. C2×C13×#125C22semidirect
47. C2×C13×C22⋊Q8C22semidirect
48. C2×C13×C22⋊Q8C22semidirect
49. C2×C4×Q8×C13C22semidirect
51. C2×C13×#117C22semidirect
52. C2×C13×#117C22semidirect
53. C2×C13×#117C22semidirect
54. C22×C13×C4⋊C4C22semidirect
55. C2×#88201C22semidirect
57. C2×#88200C22semidirect
58. C2×#88200C22semidirect
64. C2×#88183C22semidirect
65. C2×#88183C22semidirect
66. C2×C4×C22⋊D13C22semidirect
70. C2×#88178C22semidirect
71. C22×#6101C22semidirect
72. C22×#6101C22semidirect
73. #11719417C22semidirect
74. #11719412C22semidirect
75. #11719410C22semidirect
76. #11719409C22semidirect
77. #11719405C22semidirect
78. #11719404C22semidirect
79. #11719397C22semidirect
80. #11719397C22semidirect
81. #11719395C22semidirect
82. #11719394C22semidirect
83. #11719360C22semidirect
84. #11719359C22semidirect
85. D13×#123C22semidirect
86. #11719353C22semidirect
87. #11719352C22semidirect
88. #11719350C22semidirect
89. #11719342C22semidirect
90. #11719339C22semidirect
91. #11719287C22semidirect
92. #11719284C22semidirect
93. #11719269C22semidirect
94. #11719259C22semidirect
95. #11719239C22semidirect
96. #11719236C22semidirect
97. #11719232C22semidirect
98. #11719232C22semidirect
99. #11719231C22semidirect
100. #11719229C22semidirect
101. C2×#88152C22semidirect
102. C2×#88152C22semidirect
103. C2×#88152C22semidirect
104. C2×#88152C22semidirect
105. C2×#88152C22semidirect
106. C2×#88152C22semidirect
109. C2×#88151C22semidirect
110. C2×#88151C22semidirect
111. C2×#88151C22semidirect
112. C2×#88151C22semidirect
113. C2×#88151C22semidirect
120. C2×#88150C22semidirect
121. C2×#88150C22semidirect
122. C2×#88150C22semidirect
123. C2×#88150C22semidirect
124. C2×#88150C22semidirect
125. C2×#88150C22semidirect
126. C2×#88150C22semidirect
127. C2×#88150C22semidirect
128. C2×#88150C22semidirect
129. C2×#88150C22semidirect
130. C2×#88150C22semidirect
131. C2×#88150C22semidirect
132. #11719212C22semidirect
136. C2×#88149C22semidirect
137. C2×#88149C22semidirect
143. C2×#88148C22semidirect
144. C2×#88148C22semidirect
145. C2×#88148C22semidirect
146. C2×#88148C22semidirect
147. C2×#88148C22semidirect
148. C2×#88148C22semidirect
149. C2×#88148C22semidirect
152. C2×#88147C22semidirect
156. C2×C4⋊C4×D13C22semidirect
157. C2×C4⋊C4×D13C22semidirect
158. C2×#88144C22semidirect
159. C2×#88144C22semidirect
160. C2×#88143C22semidirect
161. C2×#88143C22semidirect
162. C2×#88143C22semidirect
163. C2×#88142C22semidirect
164. C2×#88142C22semidirect
165. C2×#88142C22semidirect
166. C2×#88142C22semidirect
170. C2×#88140C22semidirect
171. C2×#88140C22semidirect
172. C2×#88140C22semidirect
174. C2×#88139C22semidirect
175. C2×#88139C22semidirect
177. C2×#88138C22semidirect
180. C2×#88137C22semidirect
181. C2×#88137C22semidirect
187. C2×#88135C22semidirect
188. C2×#88135C22semidirect
193. C2×#88133C22semidirect
194. C2×#88132C22semidirect
195. C2×#88132C22semidirect
196. C2×#88132C22semidirect
197. C2×#88132C22semidirect
198. C2×#88131C22semidirect
199. C2×#88130C22semidirect
200. C2×#88130C22semidirect
201. C2×#88130C22semidirect
203. C2×#88129C22semidirect
204. C2×#88129C22semidirect
205. C2×#88129C22semidirect
210. C2×C4×D52C22semidirect
211. C2×C4×D52C22semidirect
213. C2×#88126C22semidirect
214. C2×#88124C22semidirect
215. C2×#88124C22semidirect
216. C2×#88123C22semidirect
217. C2×#88123C22semidirect
218. C2×C4×Dic26C22semidirect
244. C2×#6127C23semidirect
279. C22×Dic26C23semidirect
280. C13×#126C23semidirect
281. C13×#126C23semidirect
282. C13×#125C23semidirect
283. C13×#125C23semidirect
284. C13×#125C23semidirect
287. C13×C22⋊Q8C23semidirect
288. C13×C22⋊Q8C23semidirect
289. C4×Q8×C13C23semidirect
291. C13×#117C23semidirect
292. C13×#117C23semidirect
293. C13×#117C23semidirect
310. C2×C13×C4⋊C4C23semidirect
328. #88201C23semidirect
330. #88200C23semidirect
331. #88200C23semidirect
337. #88183C23semidirect
338. #88183C23semidirect
339. C4×C22⋊D13C23semidirect
389. #88178C23semidirect
412. C2×#6101C23semidirect
413. C2×#6101C23semidirect
419. #88152C23semidirect
420. #88152C23semidirect
421. #88152C23semidirect
422. #88152C23semidirect
423. #88152C23semidirect
424. #88152C23semidirect
427. #88151C23semidirect
428. #88151C23semidirect
429. #88151C23semidirect
430. #88151C23semidirect
431. #88151C23semidirect
438. #88150C23semidirect
439. #88150C23semidirect
440. #88150C23semidirect
441. #88150C23semidirect
442. #88150C23semidirect
443. #88150C23semidirect
444. #88150C23semidirect
445. #88150C23semidirect
446. #88150C23semidirect
447. #88150C23semidirect
448. #88150C23semidirect
452. #88149C23semidirect
453. #88149C23semidirect
459. #88148C23semidirect
460. #88148C23semidirect
461. #88148C23semidirect
462. #88148C23semidirect
463. #88148C23semidirect
464. #88148C23semidirect
465. #88148C23semidirect
468. #88147C23semidirect
472. C4⋊C4×D13C23semidirect
473. C4⋊C4×D13C23semidirect
474. #88144C23semidirect
475. #88144C23semidirect
476. #88143C23semidirect
477. #88143C23semidirect
478. #88143C23semidirect
479. #88142C23semidirect
480. #88142C23semidirect
481. #88142C23semidirect
482. #88142C23semidirect
486. #88140C23semidirect
487. #88140C23semidirect
488. #88140C23semidirect
490. #88139C23semidirect
491. #88139C23semidirect
493. #88138C23semidirect
496. #88137C23semidirect
497. #88137C23semidirect
503. #88135C23semidirect
504. #88135C23semidirect
509. #88133C23semidirect
510. #88132C23semidirect
511. #88132C23semidirect
512. #88132C23semidirect
513. #88132C23semidirect
514. #88131C23semidirect
515. #88130C23semidirect
516. #88130C23semidirect
517. #88130C23semidirect
519. #88129C23semidirect
520. #88129C23semidirect
521. #88129C23semidirect
526. C4×D52C23semidirect
527. C4×D52C23semidirect
529. #88126C23semidirect
530. #88124C23semidirect
531. #88124C23semidirect
532. #88123C23semidirect
533. #88123C23semidirect
534. C4×Dic26C23semidirect
789. C2×#552D13semidirect
958. #552C2×D13semidirect
995. C2×#126C2×D13semidirect
996. C2×#126C2×D13semidirect
1004. C2×#125C2×D13semidirect
1005. C2×#125C2×D13semidirect
1006. C2×#125C2×D13semidirect
1078. C2×C22⋊Q8C2×D13semidirect
1079. C2×C22⋊Q8C2×D13semidirect
1095. C2×C4×Q8C2×D13semidirect
1114. C2×#117C2×D13semidirect
1115. C2×#117C2×D13semidirect
1116. C2×#117C2×D13semidirect
1123. C22×C4⋊C4C2×D13semidirect
1266. #126C22×D13semidirect
1267. #126C22×D13semidirect
1275. #125C22×D13semidirect
1276. #125C22×D13semidirect
1277. #125C22×D13semidirect
1346. C22⋊Q8C22×D13semidirect
1347. C22⋊Q8C22×D13semidirect
1363. C4×Q8C22×D13semidirect
1382. #117C22×D13semidirect
1383. #117C22×D13semidirect
1384. #117C22×D13semidirect
1441. C2×C4⋊C4C22×D13semidirect
1507. C2×C13#3535semidirect
1761. C13C2×#3535semidirect
1959. C2#13129048direct (N × H)

Maximal subgroups

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

subgroupindex
#131290482
C2×#117194042
C2×#117194172
C2×#117194052
C2×#117193522
C2×#117192842
C2×#117193952
C2×#117192362
C2×#117193422
C2×#117194102
C2×#117192322
C2×#117192122
C2×#117193602
C2×#117192592
C2×#117193592
C2×#117193942
C2×#117193392
C2×#117192872
C2×#117192392
C2×#117193502
C2×#117193972
C2×#117192692
C2×#117194122
C2×#117194092
C2×#117192312
C2×#117193532
C2×#117192292
C2×D13×#1232
C22×#881502
C2×C13×#5522
C2×#353513