Finite Group Databasebeta

← C2×#13128988 #16770039

Subgroups — C2×#13128988 #16770039

Order 3328.

9542 conjugacy classes of subgroups.

The subgroup lattice has 1336 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13128988C2132yesmaximal, direct product factor
2C2×#11719299C211yesmaximal, characteristic, complemented
3C2×#11719371C211yesmaximal, characteristic, complemented
4C2×#11719325C212yesmaximal, complemented
5C2×#11719364C211yesmaximal, characteristic, complemented
6C2×#11719363C212yesmaximal, complemented
7C2×#11719317C212yesmaximal, complemented
8C2×#11719359C212yesmaximal, complemented
9C2×#11719195C212yesmaximal, complemented
10C2×D4×C22⋊D13C212yesmaximal, complemented
11C2×#11719295C211yesmaximal, characteristic, complemented
12C2×#11719362C212yesmaximal, complemented
13C2×#11719298C212yesmaximal, complemented
14C2×#11719318C212yesmaximal, complemented
15C2×#11719510C211yesmaximal, characteristic, complemented
16C2×#11719312C212yesmaximal, complemented
17C2×#11719294C212yesmaximal, complemented
18C22×#88191C211yesmaximal, characteristic, complemented
19C2×D13×#120C212yesmaximal, complemented
20C2×C13×#534C211yesmaximal, characteristic, complemented
21C25×D13C2211yescharacteristic, complemented
22C23×D4×C13C2211yescharacteristic, complemented
23C23×D4×C13C2211yescharacteristic, complemented
24C23×C22⋊D13C2212yescomplemented
25C23×C22⋊D13C2212yescomplemented
26C22×D4×D13C2212yescomplemented
27C22×D4×D13C2212yescomplemented
28C22×D4×D13C2212yescomplemented
29C22×#6127C2212yescomplemented
30C22×#6127C2211yescharacteristic, complemented
31C13×#534C22116yescomplemented
32C2×C13×#123C2211yescharacteristic, complemented
33C2×C13×#123C2211yescharacteristic, complemented
34C2×C13×#123C2212yescomplemented
35C2×C13×#121C2212yescomplemented
36C2×C13×#121C2212yescomplemented
37C2×C13×#120C2212yescomplemented
38C2×C13×#120C2211yescharacteristic, complemented
39C2×C13×#120C2211yescharacteristic, complemented
40C22×C13×C22⋊C4C2211yescharacteristic, complemented
41C2×#88207C2212yescomplemented
42C2×#88207C2212yescomplemented
43C2×#88207C2212yescomplemented
44C22×C22⋊Dic13C2211yescharacteristic, complemented
45#11719510C22116yescomplemented
46C2×#88194C2212yescomplemented
47C2×#88194C2211yescharacteristic, complemented
48C2×#88194C2211yescharacteristic, complemented
49C2×#88193C2212yescomplemented
50C2×#88193C2212yescomplemented
51C2×#88193C2212yescomplemented
52D4×C22⋊D13C22132yescomplemented
53C2×#88192C2212yescomplemented
54C2×#88192C2212yescomplemented
55C2×#88192C2212yescomplemented
56C2×#88192C2212yescomplemented
57C2×#88191C2211yescharacteristic
58C2×#88191C2212yes—
59C2×#88191C2211yescharacteristic, complemented
60C2×#88191C2212yescomplemented
61C2×#88191C2212yescomplemented
62C2×#88191C2212yescomplemented
63C2×#88191C2212yescomplemented
64C2×#88191C2211yescharacteristic, complemented
65C2×#88191C2211yescharacteristic, complemented
66C2×#88191C2212yescomplemented
67C2×#88191C22116yescomplemented
68C2×#88190C2212yescomplemented
69C2×#88190C2211yescharacteristic, complemented
70C2×#88190C2211yescharacteristic, complemented
71C2×#88189C2212yescomplemented
72C2×D4×Dic13C2212yescomplemented
73C2×#88184C2212yescomplemented
74C2×#88184C2212yescomplemented
75C2×#88183C2212yescomplemented
76C2×C4×C22⋊D13C2212yescomplemented
77C2×C4×C22⋊D13C2212yescomplemented
78C22×#6103C2212yescomplemented
79C2×#88180C2211yescharacteristic, complemented
80#11719371C22116yescomplemented
81#11719364C22116yescomplemented
82#11719363C22132yescomplemented
83#11719362C22132yescomplemented
84#11719359C22132yescomplemented
85#11719325C22132yescomplemented
86#11719318C22132yescomplemented
87#11719317C22132yescomplemented
88#11719312C22132yescomplemented
89#11719299C22116yescomplemented
90#11719298C22132yescomplemented
91#11719295C22116yescomplemented
92#11719294C22132yescomplemented
93D13×#120C22132yescomplemented
94C2×#88152C2212yescomplemented
95C2×#88152C2212yescomplemented
96C2×#88151C2212yescomplemented
97C2×#88150C2212yescomplemented
98C2×#88149C2212yescomplemented
99C2×#88148C2212yescomplemented
100C2×#88147C2212yescomplemented
101C2×#88146C2212yescomplemented
102C2×#88140C2212yescomplemented
103C2×#88139C2212yescomplemented
104C2×#88139C2212yescomplemented
105C2×#88139C2212yescomplemented
106C2×#88139C2212yescomplemented
107#11719195C22132yescomplemented
108C2×#88138C2212yescomplemented
109C2×#88138C2212yescomplemented
110C2×#88138C2212yescomplemented
111C2×#88137C2212yescomplemented
112C2×#88137C2212yescomplemented
113C2×#88137C2212yescomplemented
114C2×#88136C2212yescomplemented
115C2×#88136C2212yescomplemented
116C2×#88136C2212yescomplemented
117C2×#88136C2212yescomplemented
118C2×#88135C2212yescomplemented
119C2×#88135C2212yescomplemented
120C2×C22⋊C4×D13C2212yescomplemented
121C2×C22⋊C4×D13C2212yescomplemented
122C2×C22⋊C4×D13C2212yescomplemented
123C2×C22⋊C4×D13C2212yescomplemented
124C2×#88133C2212yescomplemented
125C2×#88133C2212yescomplemented
126C2×#88132C2212yescomplemented
127C25×C13C2311yescharacteristic
128C25×C13C2311yescharacteristic
129C25×C13C2311yescharacteristic, complemented
130C24×D13—48no—
131C24×D13—44no—
132C24×D13C2311yescharacteristic
133C24×D13C2312yes—
134C24×D13C2312yes—
135C24×D13C2312yes—
136C24×D13C2311yescharacteristic
137C24×D13C2318yescomplemented
138C22×D4×C13—44no—
139C22×D4×C13—44no—
140C22×D4×C13C2312yes—
141C22×D4×C13C2312yes—
142C22×D4×C13C2311yescharacteristic
143C22×D4×C13C2311yescharacteristic
144C22×D4×C13C2312yes—
145C22×D4×C13C2311yescharacteristic
146C22×D4×C13C2311yescharacteristic
147C22×D4×C13C2318yescomplemented
148C22×D4×C13C2312yescomplemented
149C22×D4×C13C2318yescomplemented
150C23×C4×C13C2311yescharacteristic
151C23×C4×C13C2311yescharacteristic, complemented
152C23×C4×C13C2312yescomplemented
153C22×C22⋊D13—48no—
154C22×C22⋊D13—48no—
155C22×C22⋊D13C2312yes—
156C22×C22⋊D13C2312yes—
157C22×C22⋊D13C2312yes—
158C22×C22⋊D13C2312yes—
159C22×C22⋊D13C2312yes—
160C22×C22⋊D13C2312yes—
161C22×C22⋊D13C2312yes—
162C22×C22⋊D13C2312yes—
163C22×C22⋊D13C2312yes—
164C22×C22⋊D13C2312yes—
165C22×C22⋊D13C23116yescomplemented
166C22×C22⋊D13C2312yescomplemented
167C22×C22⋊D13C2312yescomplemented
168C22×C22⋊D13C2312yescomplemented
169C22×C22⋊D13C23116yescomplemented
170C23×Dic13C2312yes—
171C23×Dic13C2312yescomplemented
172C2×D4×D13—48no—
173C2×D4×D13—48no—
174C2×D4×D13—48no—
175C2×D4×D13C23116yescomplemented
176C2×D4×D13C23116yescomplemented
177C2×D4×D13C23116yescomplemented
178C2×#6127—48no—
179C2×#6127—44no—
180C2×#6127C23116yescomplemented
181C2×#6127C2318yescomplemented
182C22×D52C2312yes—
183C22×D52C2312yes—
184C22×D52C2312yes—
185C22×D52C2311yescharacteristic, complemented
186C22×C4×D13C2312yes—
187C22×C4×D13C2312yes—
188C22×C4×D13C2312yes—
189C22×C4×D13C2312yescomplemented
190C22×C4×D13C2312yescomplemented
191C22×Dic26C2312yescomplemented
192C22×Dic26C2311yescharacteristic, complemented
193C13×#123C2318yescomplemented
194C13×#123C2318yescomplemented
195C13×#123C23116yescomplemented
196C13×#121C23116yescomplemented
197C13×#121C23116yescomplemented
198C13×#120C23116yescomplemented
199C13×#120C2318yescomplemented
200C13×#120C2318yescomplemented
201C2×C13×C4⋊C4C2312yescomplemented
202C2×C13×C4⋊C4C2312yescomplemented
203C2×C13×C22⋊C4C2312yes—
204C2×C13×C22⋊C4C2312yes—
205C2×C13×C22⋊C4C2312yes—
206C2×C13×C22⋊C4C2318yescomplemented
207C2×C13×C22⋊C4C2312yescomplemented
208C2×C13×C22⋊C4C2312yescomplemented
209C2×C13×C22⋊C4C2311yescharacteristic, complemented
210C2×C13×C22⋊C4C2311yescharacteristic, complemented
211#88207C23116yescomplemented
212#88207C23116yescomplemented
213#88207C23116yescomplemented
214C2×C22⋊Dic13C2312yes—
215C2×C22⋊Dic13C2311yescharacteristic
216C2×C22⋊Dic13C2312yes—
217C2×C22⋊Dic13C2312yes—
218C2×C22⋊Dic13C2312yes—
219C2×C22⋊Dic13C2311yescharacteristic
220C2×C22⋊Dic13C2318yescomplemented
221C2×C22⋊Dic13C2312yescomplemented
222C2×C22⋊Dic13C2312yescomplemented
223C2×C22⋊Dic13C2312yescomplemented
224C2×C22⋊Dic13C2312yescomplemented
225#88194C23116yescomplemented
226#88194C2318yescomplemented
227#88194C2318yescomplemented
228#88193C23116yescomplemented
229#88193C23116yescomplemented
230#88193C23116yescomplemented
231#88192C23116yescomplemented
232#88192C23116yescomplemented
233#88192C23116yescomplemented
234#88192C23116yescomplemented
235#88191C2318yes—
236#88191C23116yes—
237#88191C23116yescomplemented
238#88191C2318yescomplemented
239#88191C23116yescomplemented
240#88191C2318yescomplemented
241#88191C2318yescomplemented
242#88191C23116yescomplemented
243#88191C23116yescomplemented
244#88191C23116yescomplemented
245#88190C2318yescomplemented
246#88190C2318yescomplemented
247#88190C23116yescomplemented
248#88189C23116yescomplemented
249D4×Dic13C23116yescomplemented
250#88184C23116yescomplemented
251#88184C23116yescomplemented
252#88183C23116yescomplemented
253C4×C22⋊D13C23116yescomplemented
254C4×C22⋊D13C23116yescomplemented
255C2×#6103C2312yes—
256C2×#6103C2312yes—
257C2×#6103C2312yes—
258C2×#6103C2312yes—
259C2×#6103C2312yes—
260C2×#6103C2312yes—
261C2×#6103C2312yes—
262C2×#6103C2312yes—
263C2×#6103C2312yes—
264C2×#6103C2312yes—
265C2×#6103C23116yescomplemented
266C2×#6103C2312yescomplemented
267C2×#6103C2312yescomplemented
268#88180C2318yescomplemented
269C2×C4⋊Dic13C2312yescomplemented
270C2×C4⋊Dic13C2312yescomplemented
271C2×C4⋊Dic13C2312yescomplemented
272C2×#6101C2312yescomplemented
273C2×#6101C2312yescomplemented
274C2×#6101C2312yescomplemented
275C2×#6101C2312yescomplemented
276C2×C4×Dic13C2312yescomplemented
277C2×C4×Dic13C2312yescomplemented
278C2×C4×Dic13C2311yescharacteristic, complemented
279C2×C4×Dic13C2311yescharacteristic, complemented
280#88152C23116yescomplemented
281#88152C23116yescomplemented
282#88151C23116yescomplemented
283#88150C23116yescomplemented
284#88149C23116yescomplemented
285#88148C23116yescomplemented
286#88147C23116yescomplemented
287#88146C23116yescomplemented
288#88140C23116yescomplemented
289#88139C23116yescomplemented
290#88139C23116yescomplemented
291#88139C23116yescomplemented
292#88139C23116yescomplemented
293#88138C23116yescomplemented
294#88138C23116yescomplemented
295#88138C23116yescomplemented
296#88137C23116yescomplemented
297#88137C23116yescomplemented
298#88137C23116yescomplemented
299#88136C23116yescomplemented
300#88136C23116yescomplemented
301#88136C23116yescomplemented
302#88136C23116yescomplemented
303#88135C23116yescomplemented
304#88135C23116yescomplemented
305C22⋊C4×D13C23116yescomplemented
306C22⋊C4×D13C23116yescomplemented
307C22⋊C4×D13C23116yescomplemented
308C22⋊C4×D13C23116yescomplemented
309#88133C23116yescomplemented
310#88133C23116yescomplemented
311#88132C23116yescomplemented
312C2×#3532—131nomaximal, Sylow
313C24×C13—24no—
314C24×C13—24no—
315C24×C13—44no—
316C24×C13—44no—
317C24×C13—44no—
318C24×C13—42no—
319C24×C13C2411yescharacteristic
320C24×C13C2411yescharacteristic
321C24×C13C2412yes—
322C24×C13C2411yescharacteristic
323C24×C13C2411yescharacteristic
324C24×C13C2411yescharacteristic
325C24×C13C2414yes—
326C24×C13C2414yes—
327C24×C13C2414yescomplemented
328C23×D13—28no—
329C23×D13—28no—
330C23×D13—28no—
331C23×D13—28no—
332C23×D13—28no—
333C23×D13—432no—
334C23×D13—42no—
335C23×D13—44no—
336C23×D13—44no—
337C23×D13—44no—
338C23×D13—42no—
339C23×D13—44no—
340C23×D13—416no—
341C23×D13—44no—
342C23×D13—44no—
343C23×D13—464no—
344C23×D13C2412yes—
345C23×D13C2412yes—
346C23×D13C2414yes—
347C23×D13C2418yes—
348C23×D13C2412yes—
349C23×D13C2418yes—
350C23×D13C2418yes—
351C23×D13C2414yes—
352C2×D4×C13—28no—
353C2×D4×C13—44no—
354C2×D4×C13—44no—
355C2×D4×C13—42no—
356C2×D4×C13—42no—
357C2×D4×C13—42no—
358C2×D4×C13—42no—
359C2×D4×C13—44no—
360C2×D4×C13—416no—
361C2×D4×C13—416no—
362C2×D4×C13C2418yes—
363C2×D4×C13C2418yes—
364C2×D4×C13C2414yes—
365C2×D4×C13C2414yes—
366C2×D4×C13C2418yes—
367C2×D4×C13C2414yes—
368C2×D4×C13C2414yes—
369C2×D4×C13C2418yescomplemented
370C22×C4×C13—24no—
371C22×C4×C13—44no—
372C22×C4×C13—42no—
373C22×C4×C13C2411yescharacteristic
374C22×C4×C13C2412yes—
375C22×C4×C13C2412yes—
376C22×C4×C13C2412yes—
377C22×C4×C13C2411yescharacteristic
378C22×C4×C13C2414yes—
379C22×C4×C13C2414yescomplemented
380C22×C4×C13C2418yescomplemented
381C2×C22⋊D13—28no—
382C2×C22⋊D13—28no—
383C2×C22⋊D13—28no—
384C2×C22⋊D13—28no—
385C2×C22⋊D13—44no—
386C2×C22⋊D13—44no—
387C2×C22⋊D13—44no—
388C2×C22⋊D13—44no—
389C2×C22⋊D13—44no—
390C2×C22⋊D13—44no—
391C2×C22⋊D13—44no—
392C2×C22⋊D13—44no—
393C2×C22⋊D13—44no—
394C2×C22⋊D13—432no—
395C2×C22⋊D13—432no—
396C2×C22⋊D13C2418yes—
397C2×C22⋊D13C2418yes—
398C2×C22⋊D13C2418yes—
399C2×C22⋊D13C2418yes—
400C2×C22⋊D13C2418yes—
401C2×C22⋊D13C2418yes—
402C2×C22⋊D13C2418yes—
403C2×C22⋊D13C2418yes—
404C2×C22⋊D13C2418yes—
405C2×C22⋊D13C2418yes—
406C2×C22⋊D13C2418yescomplemented
407C2×C22⋊D13C2418yescomplemented
408C2×C22⋊D13C2418yescomplemented
409C22×Dic13—44no—
410C22×Dic13—44no—
411C22×Dic13C2412yes—
412C22×Dic13C2412yes—
413C22×Dic13C2412yes—
414C22×Dic13C2412yes—
415C22×Dic13C2412yes—
416C22×Dic13C2418yes—
417C22×Dic13C2418yescomplemented
418D4×D13—432no—
419D4×D13—432no—
420D4×D13—432no—
421#6127—432no—
422#6127—416no—
423C2×D52—28no—
424C2×D52—44no—
425C2×D52—44no—
426C2×D52—42no—
427C2×D52C2418yes—
428C2×D52C2418yes—
429C2×D52C2418yes—
430C2×D52C2414yescomplemented
431C2×C4×D13—28no—
432C2×C4×D13—44no—
433C2×C4×D13—44no—
434C2×C4×D13—44no—
435C2×C4×D13—44no—
436C2×C4×D13C2418yes—
437C2×C4×D13C2418yes—
438C2×C4×D13C2418yes—
439C2×C4×D13C2418yescomplemented
440C2×C4×D13C2418yescomplemented
441C2×Dic26—44no—
442C2×Dic26—42no—
443C2×Dic26C2418yescomplemented
444C2×Dic26C2414yescomplemented
445C13×C4⋊C4C2418yescomplemented
446C13×C4⋊C4C2418yescomplemented
447C13×C22⋊C4C2418yes—
448C13×C22⋊C4C2418yes—
449C13×C22⋊C4C2418yes—
450C13×C22⋊C4C2418yescomplemented
451C13×C22⋊C4C2418yescomplemented
452C13×C22⋊C4C2414yescomplemented
453C13×C22⋊C4C2414yescomplemented
454C22⋊Dic13C2418yes—
455C22⋊Dic13C2414yes—
456C22⋊Dic13C2418yes—
457C22⋊Dic13C2418yes—
458C22⋊Dic13C2418yes—
459C22⋊Dic13C2414yes—
460C22⋊Dic13C2418yescomplemented
461C22⋊Dic13C2418yescomplemented
462C22⋊Dic13C2418yescomplemented
463C22⋊Dic13C2418yescomplemented
464#6103C2418yes—
465#6103C2418yes—
466#6103C2418yes—
467#6103C2418yes—
468#6103C2418yes—
469#6103C2418yes—
470#6103C2418yes—
471#6103C2418yes—
472#6103C2418yes—
473#6103C2418yes—
474#6103C2418yescomplemented
475#6103C2418yescomplemented
476C4⋊Dic13C2418yescomplemented
477C4⋊Dic13C2418yescomplemented
478C4⋊Dic13C2418yescomplemented
479#6101C2418yescomplemented
480#6101C2418yescomplemented
481#6101C2418yescomplemented
482#6101C2418yescomplemented
483C4×Dic13C2418yescomplemented
484C4×Dic13C2418yescomplemented
485C4×Dic13C2414yescomplemented
486C4×Dic13C2414yescomplemented
487#3532—1332no—
488C2×H(3,𝔽4)—131no—
489C2×#560—131no—
490C2×#560—132no—
491C2×#551—132no—
492C2×#551—131no—
493C2×#546—132no—
494C2×#546—132no—
495C2×#546—132no—
496C2×D42—132no—
497C2×D42—131no—
498C2×#538—132no—
499C2×#538—132no—
500C2×#538—132no—
501C2×#535—131no—
502C2×#535—132no—
503C2×#534—132no—
504C2×#534D1311yescharacteristic, complemented
505C22×#120—131no—
506C22×#120—132no—
507C23×C13—24no—
508C23×C13—24no—
509C23×C13—24no—
510C23×C13—24no—
511C23×C13—24no—
512C23×C13—24no—
513C23×C13—24no—
514C23×C13—24no—
515C23×C13—22no—
516C23×C13—22no—
517C23×C13—28no—
518C23×C13—22no—
519C23×C13—22no—
520C23×C13—28no—
521C23×C13—48no—
522C23×C13—48no—
523C23×C13—48no—
524C23×C13—44no—
525C23×C13—416no—
526C23×C13—88no—
527C23×C13—88no—
528C23×C13H(5,𝔽2)14yes—
529C23×C13C2512yes—
530C23×C13C2512yes—
531C23×C13C2514yes—
532C23×C13C2512yes—
533C23×C13C2512yes—
534C23×C13C2512yes—
535C23×C13C2511yescharacteristic
536C22×D13—24no—
537C22×D13—24no—
538C22×D13—24no—
539C22×D13—24no—
540C22×D13—24no—
541C22×D13—24no—
542C22×D13—24no—
543C22×D13—216no—
544C22×D13—24no—
545C22×D13—216no—
546C22×D13—216no—
547C22×D13—216no—
548C22×D13—216no—
549C22×D13—44no—
550C22×D13—48no—
551C22×D13—48no—
552C22×D13—48no—
553C22×D13—44no—
554C22×D13—48no—
555C22×D13—416no—
556C22×D13—48no—
557C22×D13—48no—
558C22×D13—432no—
559C22×D13—432no—
560C22×D13—4128no—
561C22×D13—416no—
562C22×D13—816no—
563C22×D13H(5,𝔽2)18yes—
564C22×D13C2514yes—
565C22×D13C2514yes—
566C22×D13C2514yes—
567D4×C13—216no—
568D4×C13—48no—
569D4×C13—48no—
570D4×C13—44no—
571D4×C13—44no—
572D4×C13—44no—
573D4×C13—44no—
574D4×C13—48no—
575C2×C4×C13—24no—
576C2×C4×C13—22no—
577C2×C4×C13—24no—
578C2×C4×C13—22no—
579C2×C4×C13—24no—
580C2×C4×C13—28no—
581C2×C4×C13—48no—
582C2×C4×C13—44no—
583C2×C4×C13C2512yes—
584C2×C4×C13C2514yes—
585C2×C4×C13C2514yes—
586C2×C4×C13C2514yes—
587C2×C4×C13C2512yes—
588C22⋊D13—216no—
589C22⋊D13—216no—
590C22⋊D13—216no—
591C22⋊D13—216no—
592C22⋊D13—48no—
593C22⋊D13—48no—
594C22⋊D13—48no—
595C22⋊D13—48no—
596C22⋊D13—48no—
597C22⋊D13—48no—
598C22⋊D13—48no—
599C22⋊D13—48no—
600C22⋊D13—48no—
601C2×Dic13—24no—
602C2×Dic13—24no—
603C2×Dic13—24no—
604C2×Dic13—24no—
605C2×Dic13—24no—
606C2×Dic13—48no—
607C2×Dic13—48no—
608C2×Dic13C2514yes—
609C2×Dic13C2514yes—
610C2×Dic13C2514yes—
611C2×Dic13C2514yes—
612C2×Dic13C2514yes—
613D52—216no—
614D52—48no—
615D52—48no—
616D52—44no—
617C4×D13—216no—
618C4×D13—48no—
619C4×D13—48no—
620C4×D13—48no—
621C4×D13—48no—
622Dic26—48no—
623Dic26—44no—
624C26—131no—
625C22×#41—131no—
626C22×#41—132no—
627C23×D4—132no—
628C23×D4—132no—
629C23×D4—132no—
630C23×D4—132no—
631C23×D4—132no—
632C23×D4C2×D1311yescharacteristic, complemented
633C23×D4C2×D1311yescharacteristic, complemented
634H(3,𝔽4)—1316no—
635#560—1316no—
636#560—1332no—
637#551—1332no—
638#551—1316no—
639#546—1332no—
640#546—1332no—
641#546—1332no—
642D42—1332no—
643D42—1316no—
644#538—1332no—
645#538—1332no—
646#538—1332no—
647#535—1316no—
648#535—1332no—
649#534—1332no—
650#534C2×D13116yescomplemented
651C2×#127—131no—
652C2×#127—131no—
653C2×#127—132no—
654C2×#126—132no—
655C2×#126—132no—
656C2×#126—132no—
657C2×#126—132no—
658C2×#124—131no—
659C2×#124—131no—
660C2×#124—132no—
661C2×#124—132no—
662C2×#124—132no—
663C2×#124—132no—
664C2×#124—132no—
665C2×#123—132no—
666C2×#123—132no—
667C2×#123—132no—
668C2×#123—132no—
669C2×#123—132no—
670C2×#123—132no—
671C2×#123—132no—
672C2×#123C2×D1311yescharacteristic, complemented
673C2×#123C2×D1311yescharacteristic, complemented
674C2×#123C2×D1312yescomplemented
675C2×C22⋊Q8—132no—
676C2×C22⋊Q8—132no—
677C2×C22⋊Q8—132no—
678C2×#121—132no—
679C2×#121—132no—
680C2×#121—132no—
681C2×#121—132no—
682C2×#121—132no—
683C2×#121—132no—
684C2×#121—132no—
685C2×#121—132no—
686C2×#121—132no—
687C2×#121—132no—
688C2×#121—132no—
689C2×#121—132no—
690C2×#121—132no—
691C2×#121C2×D1312yescomplemented
692C2×#121C2×D1312yescomplemented
693C2×#120—132no—
694C2×#120—132no—
695C2×#120—132no—
696C2×#120—132no—
697C2×#120—131no—
698C2×#120—132no—
699C2×#120—132no—
700C2×#120—132no—
701C2×#120—131no—
702C2×#120—131no—
703C2×#120—132no—
704C2×#120—131no—
705C2×#120—1316no—
706C2×#120—132no—
707C2×#120—1332no—
708C2×#120—132no—
709C2×#120—132no—
710C2×#120—132no—
711C2×#120—132no—
712C2×#120C2×D1312yescomplemented
713C2×#120C2×D1311yescharacteristic, complemented
714C2×#120C2×D1311yescharacteristic, complemented
715C2×C4×D4—132no—
716C2×C4×D4—132no—
717C2×C4×D4—132no—
718C2×C4×D4—132no—
719C2×C4×D4—132no—
720C2×C4×D4—132no—
721C2×#117—131no—
722C2×#117—132no—
723C22×C22⋊C4—131no—
724C22×C22⋊C4—132no—
725C22×C22⋊C4—132no—
726C22×C22⋊C4—132no—
727C22×C22⋊C4—132no—
728C22×C22⋊C4—132no—
729C22×C22⋊C4C2×D1311yescharacteristic, complemented
730C22×C13—24no—
731C22×C13—28no—
732C22×C13—24no—
733C22×C13—24no—
734C22×C13—24no—
735C22×C13—24no—
736C22×C13—24no—
737C22×C13—24no—
738C22×C13—24no—
739C22×C13—22no—
740C22×C13—22no—
741C22×C13—22no—
742C22×C13—22no—
743C22×C13—416no—
744C22×C13—44no—
745C22×C13—44no—
746C22×C13—48no—
747C22×C13—44no—
748C22×C13—44no—
749C22×C13—88no—
750C22×C13—88no—
751C22×C13C2×H(5,𝔽2)14yes—
752C22×C13C2×H(5,𝔽2)12yes—
753C22×C13C2×H(5,𝔽2)14yes—
754C22×C13C2611yescharacteristic
755C2×D13—24no—
756C2×D13—24no—
757C2×D13—216no—
758C2×D13—24no—
759C2×D13—24no—
760C2×D13—24no—
761C2×D13—24no—
762C2×D13—24no—
763C2×D13—24no—
764C2×D13—416no—
765C2×D13—432no—
766C2×D13—432no—
767C2×D13—416no—
768C2×D13—48no—
769C2×D13—48no—
770C2×D13—816no—
771C2×D13C2×H(5,𝔽2)18yes—
772C4×C13—24no—
773C4×C13—22no—
774C4×C13—24no—
775C4×C13—22no—
776C4×C13—24no—
777Dic13—24no—
778Dic13—24no—
779Dic13—24no—
780Dic13—24no—
781Dic13—24no—
782C25—131no—
783C25—132no—
784C25—132no—
785C25—132no—
786C25—131no—
787C25—138no—
788C25—524no—
789C25—528no—
790C25C22×D1311yescharacteristic
791C25C22×D1311yescharacteristic
792C25C22×D1311yescharacteristic, complemented
793C2×#41—138no—
794C2×#41—1316no—
795C2×#41—524no—
796C2×#41—528no—
797C22×Q8—132no—
798C22×Q8—131no—
799C22×D4—44no—
800C22×D4—44no—
801C22×D4—132no—
802C22×D4—132no—
803C22×D4—132no—
804C22×D4—132no—
805C22×D4—132no—
806C22×D4—132no—
807C22×D4—132no—
808C22×D4—132no—
809C22×D4—132no—
810C22×D4—132no—
811C22×D4—132no—
812C22×D4—1316no—
813C22×D4—132no—
814C22×D4—132no—
815C22×D4—1316no—
816C22×D4—1316no—
817C22×D4—1316no—
818C22×D4—1316no—
819C22×D4—132no—
820C22×D4—132no—
821C22×D4—132no—
822C22×D4—131no—
823C22×D4—528no—
824C22×D4—528no—
825C22×D4—528no—
826C22×D4—528no—
827C22×D4—528no—
828C22×D4C22×D1312yes—
829C22×D4C22×D1311yescharacteristic
830C22×D4C22×D1311yescharacteristic
831C22×D4C22×D1311yescharacteristic
832C22×D4C22×D1311yescharacteristic
833C22×D4C22×D1312yes—
834C22×D4C22×D1312yes—
835C22×D4C22×D1318yescomplemented
836C22×D4C22×D1312yescomplemented
837C22×D4C22×D1318yescomplemented
838C23×C4—132no—
839C23×C4—132no—
840C23×C4—132no—
841C23×C4—132no—
842C23×C4—132no—
843C23×C4—132no—
844C23×C4—132no—
845C23×C4C22×D1311yescharacteristic
846C23×C4C22×D1312yescomplemented
847C23×C4C22×D1311yescharacteristic, complemented
848#127—138no—
849#127—138no—
850#127—1316no—
851#126—1316no—
852#126—1316no—
853#126—1316no—
854#126—1316no—
855#124—138no—
856#124—138no—
857#124—1316no—
858#124—1316no—
859#124—1316no—
860#124—1316no—
861#124—1316no—
862#123—1316no—
863#123—1316no—
864#123—1316no—
865#123—1316no—
866#123—1316no—
867#123—1316no—
868#123—1316no—
869#123C22×D1318yescomplemented
870#123C22×D1318yescomplemented
871#123C22×D13116yescomplemented
872C22⋊Q8—1316no—
873C22⋊Q8—1316no—
874C22⋊Q8—1316no—
875#121—1316no—
876#121—1316no—
877#121—1316no—
878#121—1316no—
879#121—1316no—
880#121—1316no—
881#121—1316no—
882#121—1316no—
883#121—1316no—
884#121—1316no—
885#121—1316no—
886#121—1316no—
887#121—1316no—
888#121C22×D13116yescomplemented
889#121C22×D13116yescomplemented
890#120—1316no—
891#120—1316no—
892#120—1316no—
893#120—1316no—
894#120—1316no—
895#120—1316no—
896#120—1316no—
897#120—138no—
898#120—138no—
899#120—138no—
900#120—1316no—
901#120—138no—
902#120—1316no—
903#120—1316no—
904#120—1316no—
905#120—1316no—
906#120—1316no—
907#120C22×D13116yescomplemented
908#120C22×D1318yescomplemented
909#120C22×D1318yescomplemented
910C4×D4—1316no—
911C4×D4—1316no—
912C4×D4—1316no—
913C4×D4—1316no—
914C4×D4—1316no—
915C4×D4—1316no—
916#117—138no—
917#117—1316no—
918C2×C4⋊C4—132no—
919C2×C4⋊C4—132no—
920C2×C4⋊C4—132no—
921C2×C4⋊C4—132no—
922C2×C4⋊C4—132no—
923C2×C4⋊C4—132no—
924C2×C4⋊C4—132no—
925C2×C4⋊C4C22×D1312yescomplemented
926C2×C4⋊C4C22×D1312yescomplemented
927C2×C22⋊C4—132no—
928C2×C22⋊C4—131no—
929C2×C22⋊C4—132no—
930C2×C22⋊C4—132no—
931C2×C22⋊C4—132no—
932C2×C22⋊C4—131no—
933C2×C22⋊C4—138no—
934C2×C22⋊C4—132no—
935C2×C22⋊C4—132no—
936C2×C22⋊C4—132no—
937C2×C22⋊C4—132no—
938C2×C22⋊C4—132no—
939C2×C22⋊C4—132no—
940C2×C22⋊C4—132no—
941C2×C22⋊C4—132no—
942C2×C22⋊C4—132no—
943C2×C22⋊C4—132no—
944C2×C22⋊C4—132no—
945C2×C22⋊C4—132no—
946C2×C22⋊C4—132no—
947C2×C22⋊C4—132no—
948C2×C22⋊C4—1316no—
949C2×C22⋊C4—132no—
950C2×C22⋊C4—132no—
951C2×C22⋊C4—1316no—
952C2×C22⋊C4—1316no—
953C2×C22⋊C4—1316no—
954C2×C22⋊C4—1316no—
955C2×C22⋊C4C22×D1312yes—
956C2×C22⋊C4C22×D1312yes—
957C2×C22⋊C4C22×D1312yes—
958C2×C22⋊C4C22×D1318yescomplemented
959C2×C22⋊C4C22×D1312yescomplemented
960C2×C22⋊C4C22×D1311yescharacteristic, complemented
961C2×C22⋊C4C22×D1311yescharacteristic, complemented
962C2×C22⋊C4C22×D1312yescomplemented
963C2×C42—131no—
964C2×C42—132no—
965C2×C42—131no—
966C2×C42—132no—
967C2×C13—24no—
968C2×C13—42no—
969C2×C13—42no—
970C2×C13—44no—
971C2×C13—42no—
972C2×C13—42no—
973C2×C13#353214yescomplemented
974C2×C13C22×H(5,𝔽2)12yes—
975C2×C13C22×H(5,𝔽2)11yescharacteristic
976D13—28no—
977D13—44no—
978D13—44no—
979C24—24no—
980C24—24no—
981C24—44no—
982C24—42no—
983C24—44no—
984C24—44no—
985C24—132no—
986C24—132no—
987C24—132no—
988C24—134no—
989C24—138no—
990C24—138no—
991C24—138no—
992C24—134no—
993C24—268no—
994C24—268no—
995C24—268no—
996C24—268no—
997C24—268no—
998C24—524no—
999C24—522no—
1000C24—524no—
1001C24—522no—
1002C24—5216no—
1003C24—524no—
1004C24—524no—
1005C24—524no—
1006C24—524no—
1007C24—5232no—
1008C24—5264no—
1009C24C23×D1311yescharacteristic
1010C24C23×D1311yescharacteristic
1011C24C23×D1312yes—
1012C24C23×D1311yescharacteristic
1013C24C23×D1311yescharacteristic
1014C24C23×D1311yescharacteristic
1015C24C23×D1314yes—
1016C24C23×D1314yes—
1017C24C23×D1314yescomplemented
1018#41—5216no—
1019#41—5232no—
1020C2×Q8—138no—
1021C2×Q8—134no—
1022C2×Q8—522no—
1023C2×Q8—524no—
1024C2×D4—28no—
1025C2×D4—42no—
1026C2×D4—42no—
1027C2×D4—42no—
1028C2×D4—42no—
1029C2×D4—416no—
1030C2×D4—44no—
1031C2×D4—44no—
1032C2×D4—44no—
1033C2×D4—416no—
1034C2×D4—138no—
1035C2×D4—138no—
1036C2×D4—138no—
1037C2×D4—138no—
1038C2×D4—138no—
1039C2×D4—138no—
1040C2×D4—138no—
1041C2×D4—138no—
1042C2×D4—138no—
1043C2×D4—138no—
1044C2×D4—138no—
1045C2×D4—138no—
1046C2×D4—138no—
1047C2×D4—138no—
1048C2×D4—138no—
1049C2×D4—138no—
1050C2×D4—134no—
1051C2×D4—268no—
1052C2×D4—268no—
1053C2×D4—268no—
1054C2×D4—268no—
1055C2×D4—268no—
1056C2×D4—524no—
1057C2×D4—524no—
1058C2×D4—522no—
1059C2×D4—5232no—
1060C2×D4—524no—
1061C2×D4—524no—
1062C2×D4—524no—
1063C2×D4—524no—
1064C2×D4—524no—
1065C2×D4—524no—
1066C2×D4—524no—
1067C2×D4—524no—
1068C2×D4—524no—
1069C2×D4—5232no—
1070C2×D4—5232no—
1071C2×D4—5232no—
1072C2×D4—5232no—
1073C2×D4C23×D1318yes—
1074C2×D4C23×D1314yes—
1075C2×D4C23×D1314yes—
1076C2×D4C23×D1314yes—
1077C2×D4C23×D1314yes—
1078C2×D4C23×D1318yes—
1079C2×D4C23×D1318yes—
1080C2×D4C23×D1318yescomplemented
1081C22×C4—24no—
1082C22×C4—42no—
1083C22×C4—44no—
1084C22×C4—132no—
1085C22×C4—132no—
1086C22×C4—132no—
1087C22×C4—132no—
1088C22×C4—132no—
1089C22×C4—138no—
1090C22×C4—138no—
1091C22×C4—138no—
1092C22×C4—138no—
1093C22×C4—138no—
1094C22×C4—138no—
1095C22×C4—138no—
1096C22×C4—268no—
1097C22×C4—524no—
1098C22×C4—524no—
1099C22×C4—524no—
1100C22×C4—524no—
1101C22×C4—524no—
1102C22×C4—524no—
1103C22×C4C23×D1314yes—
1104C22×C4C23×D1311yescharacteristic
1105C22×C4C23×D1312yes—
1106C22×C4C23×D1312yes—
1107C22×C4C23×D1311yescharacteristic
1108C22×C4C23×D1312yes—
1109C22×C4C23×D1318yescomplemented
1110C22×C4C23×D1314yescomplemented
1111C4⋊C4—138no—
1112C4⋊C4—138no—
1113C4⋊C4—138no—
1114C4⋊C4—138no—
1115C4⋊C4—138no—
1116C4⋊C4—138no—
1117C4⋊C4—138no—
1118C4⋊C4C23×D1318yescomplemented
1119C4⋊C4C23×D1318yescomplemented
1120C22⋊C4—138no—
1121C22⋊C4—134no—
1122C22⋊C4—138no—
1123C22⋊C4—138no—
1124C22⋊C4—138no—
1125C22⋊C4—134no—
1126C22⋊C4—138no—
1127C22⋊C4—138no—
1128C22⋊C4—138no—
1129C22⋊C4—138no—
1130C22⋊C4—138no—
1131C22⋊C4—138no—
1132C22⋊C4—138no—
1133C22⋊C4—138no—
1134C22⋊C4—138no—
1135C22⋊C4—138no—
1136C22⋊C4—138no—
1137C22⋊C4—138no—
1138C22⋊C4—138no—
1139C22⋊C4—138no—
1140C22⋊C4—138no—
1141C22⋊C4—138no—
1142C22⋊C4C23×D1318yes—
1143C22⋊C4C23×D1318yes—
1144C22⋊C4C23×D1318yes—
1145C22⋊C4C23×D1318yescomplemented
1146C22⋊C4C23×D1314yescomplemented
1147C22⋊C4C23×D1314yescomplemented
1148C22⋊C4C23×D1318yescomplemented
1149C42—134no—
1150C42—138no—
1151C42—134no—
1152C42—138no—
1153C13C2×#353211yescharacteristic, complemented, Sylow
1154C23—24no—
1155C23—22no—
1156C23—24no—
1157C23—22no—
1158C23—28no—
1159C23—22no—
1160C23—22no—
1161C23—24no—
1162C23—24no—
1163C23—24no—
1164C23—24no—
1165C23—24no—
1166C23—24no—
1167C23—28no—
1168C23—48no—
1169C23—44no—
1170C23—48no—
1171C23—48no—
1172C23—416no—
1173C23—88no—
1174C23—88no—
1175C23—138no—
1176C23—134no—
1177C23—134no—
1178C23—134no—
1179C23—2616no—
1180C23—2616no—
1181C23—2616no—
1182C23—2616no—
1183C23—264no—
1184C23—264no—
1185C23—264no—
1186C23—2616no—
1187C23—264no—
1188C23—264no—
1189C23—264no—
1190C23—264no—
1191C23—264no—
1192C23—528no—
1193C23—528no—
1194C23—528no—
1195C23—524no—
1196C23—528no—
1197C23—524no—
1198C23—528no—
1199C23—528no—
1200C23—5232no—
1201C23—5216no—
1202C23—5232no—
1203C23—52128no—
1204C23—5216no—
1205C23—10416no—
1206C23#8825114yes—
1207C23C24×D1312yes—
1208C23C24×D1312yes—
1209C23C24×D1314yes—
1210C23C24×D1312yes—
1211C23C24×D1312yes—
1212C23C24×D1312yes—
1213C23C24×D1311yescharacteristic
1214Q8—528no—
1215Q8—524no—
1216D4—216no—
1217D4—44no—
1218D4—44no—
1219D4—44no—
1220D4—44no—
1221D4—48no—
1222D4—48no—
1223D4—48no—
1224D4—2616no—
1225D4—2616no—
1226D4—2616no—
1227D4—2616no—
1228D4—2616no—
1229D4—528no—
1230D4—528no—
1231D4—524no—
1232D4—528no—
1233D4—528no—
1234D4—528no—
1235D4—528no—
1236D4—528no—
1237D4—528no—
1238D4—528no—
1239D4—528no—
1240D4—528no—
1241C2×C4—22no—
1242C2×C4—22no—
1243C2×C4—28no—
1244C2×C4—24no—
1245C2×C4—24no—
1246C2×C4—24no—
1247C2×C4—44no—
1248C2×C4—48no—
1249C2×C4—134no—
1250C2×C4—134no—
1251C2×C4—134no—
1252C2×C4—134no—
1253C2×C4—134no—
1254C2×C4—2616no—
1255C2×C4—264no—
1256C2×C4—264no—
1257C2×C4—264no—
1258C2×C4—264no—
1259C2×C4—264no—
1260C2×C4—528no—
1261C2×C4—528no—
1262C2×C4—528no—
1263C2×C4—528no—
1264C2×C4—528no—
1265C2×C4—528no—
1266C2×C4C24×D1312yes—
1267C2×C4C24×D1314yes—
1268C2×C4C24×D1314yes—
1269C2×C4C24×D1312yes—
1270C2×C4C24×D1314yes—
1271C22—28no—
1272C22—24no—
1273C22—24no—
1274C22—24no—
1275C22—24no—
1276C22—24no—
1277C22—24no—
1278C22—24no—
1279C22—22no—
1280C22—24no—
1281C22—22no—
1282C22—22no—
1283C22—22no—
1284C22—416no—
1285C22—44no—
1286C22—44no—
1287C22—44no—
1288C22—44no—
1289C22—48no—
1290C22—88no—
1291C22—88no—
1292C22—138no—
1293C22—2616no—
1294C22—264no—
1295C22—264no—
1296C22—264no—
1297C22—264no—
1298C22—264no—
1299C22—264no—
1300C22—264no—
1301C22—264no—
1302C22—5232no—
1303C22—5216no—
1304C22—5232no—
1305C22—5216no—
1306C22—528no—
1307C22—528no—
1308C22—10416no—
1309C22C2×#8825114yes—
1310C22C2×#8825112yes—
1311C22D13×H(5,𝔽2)14yes—
1312C22C25×D1311yescharacteristic
1313C4—24no—
1314C4—24no—
1315C4—22no—
1316C4—22no—
1317C4—24no—
1318C4—264no—
1319C4—264no—
1320C4—264no—
1321C4—264no—
1322C4—264no—
1323C2—24no—
1324C2—42no—
1325C2—42no—
1326C2—42no—
1327C2—44no—
1328C2—42no—
1329C2—268no—
1330C2—524no—
1331C2—524no—
1332C2#1312898814yesdirect product factor
1333C2C2×D13×H(5,𝔽2)12yes—
1334C2C22×#8825111yescharacteristic
subgroupG/H
centerC23C24×D13
commutator, cosocleC22×C13C26
FrattiniC22C25×D13
FittingC2×C13×#534C2
socleC23×C13C25
hypercenterC2×#534D13
hypocenterC13C2×#3532
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C23 ◁ C2×#534

Complements

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

NH ≅ G/Ntype
1. #13128988C2direct (N × H)
2. C2×#11719299C2semidirect
3. C2×#11719371C2semidirect
4. C2×#11719325C2semidirect
5. C2×#11719364C2semidirect
6. C2×#11719363C2semidirect
7. C2×#11719317C2semidirect
8. C2×#11719359C2semidirect
9. C2×#11719195C2semidirect
10. C2×D4×C22⋊D13C2semidirect
11. C2×#11719295C2semidirect
12. C2×#11719362C2semidirect
13. C2×#11719298C2semidirect
14. C2×#11719318C2semidirect
15. C2×#11719510C2semidirect
16. C2×#11719312C2semidirect
17. C2×#11719294C2semidirect
18. C22×#88191C2semidirect
19. C2×D13×#120C2semidirect
20. C2×C13×#534C2semidirect
21. C25×D13C22semidirect
22. C23×D4×C13C22semidirect
23. C23×D4×C13C22semidirect
24. C23×C22⋊D13C22semidirect
25. C23×C22⋊D13C22semidirect
26. C22×D4×D13C22semidirect
27. C22×D4×D13C22semidirect
28. C22×D4×D13C22semidirect
29. C22×#6127C22semidirect
30. C22×#6127C22semidirect
31. C13×#534C22semidirect
32. C2×C13×#123C22semidirect
33. C2×C13×#123C22semidirect
34. C2×C13×#123C22semidirect
35. C2×C13×#121C22semidirect
36. C2×C13×#121C22semidirect
37. C2×C13×#120C22semidirect
38. C2×C13×#120C22semidirect
39. C2×C13×#120C22semidirect
40. C22×C13×C22⋊C4C22semidirect
41. C2×#88207C22semidirect
42. C2×#88207C22semidirect
43. C2×#88207C22semidirect
44. C22×C22⋊Dic13C22semidirect
45. #11719510C22semidirect
46. C2×#88194C22semidirect
47. C2×#88194C22semidirect
48. C2×#88194C22semidirect
49. C2×#88193C22semidirect
50. C2×#88193C22semidirect
51. C2×#88193C22semidirect
52. D4×C22⋊D13C22semidirect
53. C2×#88192C22semidirect
54. C2×#88192C22semidirect
55. C2×#88192C22semidirect
56. C2×#88192C22semidirect
59. C2×#88191C22semidirect
60. C2×#88191C22semidirect
61. C2×#88191C22semidirect
62. C2×#88191C22semidirect
63. C2×#88191C22semidirect
64. C2×#88191C22semidirect
65. C2×#88191C22semidirect
66. C2×#88191C22semidirect
67. C2×#88191C22semidirect
68. C2×#88190C22semidirect
69. C2×#88190C22semidirect
70. C2×#88190C22semidirect
71. C2×#88189C22semidirect
72. C2×D4×Dic13C22semidirect
73. C2×#88184C22semidirect
74. C2×#88184C22semidirect
75. C2×#88183C22semidirect
76. C2×C4×C22⋊D13C22semidirect
77. C2×C4×C22⋊D13C22semidirect
78. C22×#6103C22semidirect
79. C2×#88180C22semidirect
80. #11719371C22semidirect
81. #11719364C22semidirect
82. #11719363C22semidirect
83. #11719362C22semidirect
84. #11719359C22semidirect
85. #11719325C22semidirect
86. #11719318C22semidirect
87. #11719317C22semidirect
88. #11719312C22semidirect
89. #11719299C22semidirect
90. #11719298C22semidirect
91. #11719295C22semidirect
92. #11719294C22semidirect
93. D13×#120C22semidirect
94. C2×#88152C22semidirect
95. C2×#88152C22semidirect
96. C2×#88151C22semidirect
97. C2×#88150C22semidirect
98. C2×#88149C22semidirect
99. C2×#88148C22semidirect
100. C2×#88147C22semidirect
101. C2×#88146C22semidirect
102. C2×#88140C22semidirect
103. C2×#88139C22semidirect
104. C2×#88139C22semidirect
105. C2×#88139C22semidirect
106. C2×#88139C22semidirect
107. #11719195C22semidirect
108. C2×#88138C22semidirect
109. C2×#88138C22semidirect
110. C2×#88138C22semidirect
111. C2×#88137C22semidirect
112. C2×#88137C22semidirect
113. C2×#88137C22semidirect
114. C2×#88136C22semidirect
115. C2×#88136C22semidirect
116. C2×#88136C22semidirect
117. C2×#88136C22semidirect
118. C2×#88135C22semidirect
119. C2×#88135C22semidirect
120. C2×C22⋊C4×D13C22semidirect
121. C2×C22⋊C4×D13C22semidirect
122. C2×C22⋊C4×D13C22semidirect
123. C2×C22⋊C4×D13C22semidirect
124. C2×#88133C22semidirect
125. C2×#88133C22semidirect
126. C2×#88132C22semidirect
129. C25×C13C23semidirect
137. C24×D13C23semidirect
147. C22×D4×C13C23semidirect
148. C22×D4×C13C23semidirect
149. C22×D4×C13C23semidirect
151. C23×C4×C13C23semidirect
152. C23×C4×C13C23semidirect
165. C22×C22⋊D13C23semidirect
166. C22×C22⋊D13C23semidirect
167. C22×C22⋊D13C23semidirect
168. C22×C22⋊D13C23semidirect
169. C22×C22⋊D13C23semidirect
171. C23×Dic13C23semidirect
175. C2×D4×D13C23semidirect
176. C2×D4×D13C23semidirect
177. C2×D4×D13C23semidirect
180. C2×#6127C23semidirect
181. C2×#6127C23semidirect
185. C22×D52C23semidirect
189. C22×C4×D13C23semidirect
190. C22×C4×D13C23semidirect
191. C22×Dic26C23semidirect
192. C22×Dic26C23semidirect
193. C13×#123C23semidirect
194. C13×#123C23semidirect
195. C13×#123C23semidirect
196. C13×#121C23semidirect
197. C13×#121C23semidirect
198. C13×#120C23semidirect
199. C13×#120C23semidirect
200. C13×#120C23semidirect
201. C2×C13×C4⋊C4C23semidirect
202. C2×C13×C4⋊C4C23semidirect
206. C2×C13×C22⋊C4C23semidirect
207. C2×C13×C22⋊C4C23semidirect
208. C2×C13×C22⋊C4C23semidirect
209. C2×C13×C22⋊C4C23semidirect
210. C2×C13×C22⋊C4C23semidirect
211. #88207C23semidirect
212. #88207C23semidirect
213. #88207C23semidirect
220. C2×C22⋊Dic13C23semidirect
221. C2×C22⋊Dic13C23semidirect
222. C2×C22⋊Dic13C23semidirect
223. C2×C22⋊Dic13C23semidirect
224. C2×C22⋊Dic13C23semidirect
225. #88194C23semidirect
226. #88194C23semidirect
227. #88194C23semidirect
228. #88193C23semidirect
229. #88193C23semidirect
230. #88193C23semidirect
231. #88192C23semidirect
232. #88192C23semidirect
233. #88192C23semidirect
234. #88192C23semidirect
237. #88191C23semidirect
238. #88191C23semidirect
239. #88191C23semidirect
240. #88191C23semidirect
241. #88191C23semidirect
242. #88191C23semidirect
243. #88191C23semidirect
244. #88191C23semidirect
245. #88190C23semidirect
246. #88190C23semidirect
247. #88190C23semidirect
248. #88189C23semidirect
249. D4×Dic13C23semidirect
250. #88184C23semidirect
251. #88184C23semidirect
252. #88183C23semidirect
253. C4×C22⋊D13C23semidirect
254. C4×C22⋊D13C23semidirect
265. C2×#6103C23semidirect
266. C2×#6103C23semidirect
267. C2×#6103C23semidirect
268. #88180C23semidirect
269. C2×C4⋊Dic13C23semidirect
270. C2×C4⋊Dic13C23semidirect
271. C2×C4⋊Dic13C23semidirect
272. C2×#6101C23semidirect
273. C2×#6101C23semidirect
274. C2×#6101C23semidirect
275. C2×#6101C23semidirect
276. C2×C4×Dic13C23semidirect
277. C2×C4×Dic13C23semidirect
278. C2×C4×Dic13C23semidirect
279. C2×C4×Dic13C23semidirect
280. #88152C23semidirect
281. #88152C23semidirect
282. #88151C23semidirect
283. #88150C23semidirect
284. #88149C23semidirect
285. #88148C23semidirect
286. #88147C23semidirect
287. #88146C23semidirect
288. #88140C23semidirect
289. #88139C23semidirect
290. #88139C23semidirect
291. #88139C23semidirect
292. #88139C23semidirect
293. #88138C23semidirect
294. #88138C23semidirect
295. #88138C23semidirect
296. #88137C23semidirect
297. #88137C23semidirect
298. #88137C23semidirect
299. #88136C23semidirect
300. #88136C23semidirect
301. #88136C23semidirect
302. #88136C23semidirect
303. #88135C23semidirect
304. #88135C23semidirect
305. C22⋊C4×D13C23semidirect
306. C22⋊C4×D13C23semidirect
307. C22⋊C4×D13C23semidirect
308. C22⋊C4×D13C23semidirect
309. #88133C23semidirect
310. #88133C23semidirect
311. #88132C23semidirect
327. C24×C13C24semidirect
369. C2×D4×C13C24semidirect
379. C22×C4×C13C24semidirect
380. C22×C4×C13C24semidirect
406. C2×C22⋊D13C24semidirect
407. C2×C22⋊D13C24semidirect
408. C2×C22⋊D13C24semidirect
417. C22×Dic13C24semidirect
430. C2×D52C24semidirect
439. C2×C4×D13C24semidirect
440. C2×C4×D13C24semidirect
443. C2×Dic26C24semidirect
444. C2×Dic26C24semidirect
445. C13×C4⋊C4C24semidirect
446. C13×C4⋊C4C24semidirect
450. C13×C22⋊C4C24semidirect
451. C13×C22⋊C4C24semidirect
452. C13×C22⋊C4C24semidirect
453. C13×C22⋊C4C24semidirect
460. C22⋊Dic13C24semidirect
461. C22⋊Dic13C24semidirect
462. C22⋊Dic13C24semidirect
463. C22⋊Dic13C24semidirect
474. #6103C24semidirect
475. #6103C24semidirect
476. C4⋊Dic13C24semidirect
477. C4⋊Dic13C24semidirect
478. C4⋊Dic13C24semidirect
479. #6101C24semidirect
480. #6101C24semidirect
481. #6101C24semidirect
482. #6101C24semidirect
483. C4×Dic13C24semidirect
484. C4×Dic13C24semidirect
485. C4×Dic13C24semidirect
486. C4×Dic13C24semidirect
504. C2×#534D13semidirect
632. C23×D4C2×D13semidirect
633. C23×D4C2×D13semidirect
650. #534C2×D13semidirect
672. C2×#123C2×D13semidirect
673. C2×#123C2×D13semidirect
674. C2×#123C2×D13semidirect
691. C2×#121C2×D13semidirect
692. C2×#121C2×D13semidirect
712. C2×#120C2×D13semidirect
713. C2×#120C2×D13semidirect
714. C2×#120C2×D13semidirect
729. C22×C22⋊C4C2×D13semidirect
792. C25C22×D13semidirect
835. C22×D4C22×D13semidirect
836. C22×D4C22×D13semidirect
837. C22×D4C22×D13semidirect
846. C23×C4C22×D13semidirect
847. C23×C4C22×D13semidirect
869. #123C22×D13semidirect
870. #123C22×D13semidirect
871. #123C22×D13semidirect
888. #121C22×D13semidirect
889. #121C22×D13semidirect
907. #120C22×D13semidirect
908. #120C22×D13semidirect
909. #120C22×D13semidirect
925. C2×C4⋊C4C22×D13semidirect
926. C2×C4⋊C4C22×D13semidirect
958. C2×C22⋊C4C22×D13semidirect
959. C2×C22⋊C4C22×D13semidirect
960. C2×C22⋊C4C22×D13semidirect
961. C2×C22⋊C4C22×D13semidirect
962. C2×C22⋊C4C22×D13semidirect
973. C2×C13#3532semidirect
1017. C24C23×D13semidirect
1080. C2×D4C23×D13semidirect
1109. C22×C4C23×D13semidirect
1110. C22×C4C23×D13semidirect
1118. C4⋊C4C23×D13semidirect
1119. C4⋊C4C23×D13semidirect
1145. C22⋊C4C23×D13semidirect
1146. C22⋊C4C23×D13semidirect
1147. C22⋊C4C23×D13semidirect
1148. C22⋊C4C23×D13semidirect
1153. C13C2×#3532semidirect
1332. C2#13128988direct (N × H)

Maximal subgroups

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

subgroupindex
#131289882
C2×#117192992
C2×#117193712
C2×#117193252
C2×#117193642
C2×#117193632
C2×#117193172
C2×#117193592
C2×#117191952
C2×D4×C22⋊D132
C2×#117192952
C2×#117193622
C2×#117192982
C2×#117193182
C2×#117195102
C2×#117193122
C2×#117192942
C22×#881912
C2×D13×#1202
C2×C13×#5342
C2×#353213