Finite Group Databasebeta

← #15883255

Subgroups — #15883255

Order 3328.

1086 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11718845C211yesmaximal, characteristic, complemented
2C22×#88075C211yesmaximal, characteristic
3#13117845C211yesmaximal, characteristic
4Q8×C22⋊Dic13C211yesmaximal, characteristic
5#13115708C211yesmaximal, characteristic, complemented
6#13115528C211yesmaximal, characteristic, complemented
7#13115472C211yesmaximal, characteristic, complemented
8#13115260C211yesmaximal, characteristic
9#13115179C211yesmaximal, characteristic, complemented
10#13115179C211yesmaximal, characteristic, complemented
11#13115106C211yesmaximal, characteristic, complemented
12#13115031C211yesmaximal, characteristic
13#13114668C211yesmaximal, characteristic, complemented
14#13114615C211yesmaximal, characteristic
15C2×C13×#451C211yesmaximal, characteristic
16C23×Q8×C13C2211yescharacteristic
17C22×C13×Q16C2211yescharacteristic
18C22×C13×Q16C2211yescharacteristic
19C2×C13×C22⋊Q8C2211yescharacteristic
20C2×Q8×Dic13C2211yescharacteristic
21C2×Q8×Dic13C2211yescharacteristic
22C2×Q8×Dic13C2211yescharacteristic
23C22×C4⋊Dic13C2211yescharacteristic
24C23×#1055C2211yescharacteristic
25C13×#451C418yescomplemented
26C2×C13×#103C2211yescharacteristic
27C2×C13×#103C2211yescharacteristic
28C2×C13×C22⋊C8C2211yescharacteristic
29#11718891—21no—
30#11718891—21no—
31#11718891C2211yescharacteristic
32#11718891C2211yescharacteristic
33#11718891C2211yescharacteristic
34C2×#88075—24no—
35C2×#88075C2211yescharacteristic
36C2×#88075C2211yescharacteristic
37C2×#88075C2211yescharacteristic
38C2×#88075C2211yescharacteristic
39C2×#88075C2211yescharacteristic
40C2×#88075C2211yescharacteristic
41#11718873—21no—
42#11718873C2211yescharacteristic
43C4×C22⋊Dic13—21no—
44C4×C22⋊Dic13C2211yescharacteristic
45#11718845—24no—
46C2×#88057C2211yescharacteristic
47C2×#88057C2211yescharacteristic
48C2×#88055C2211yescharacteristic
49C2×#88055C2211yescharacteristic
50#11718646—21no—
51#11718646C2211yescharacteristic
52#11718642—21no—
53C4⋊C4×Dic13C2211yescharacteristic
54#11718611—21no—
55C22⋊C4×Dic13—21no—
56#11718143C2211yescharacteristic
57#11718143C2211yescharacteristic
58#11718142C2211yescharacteristic
59#11718142C2211yescharacteristic
60#11718121C2211yescharacteristic
61#11718121C2211yescharacteristic
62C22×Q8×C13—21no—
63C22×Q8×C13—22no—
64C22×Q8×C13—22no—
65C22×Q8×C13—22no—
66C22×Q8×C13—41no—
67C22×Q8×C13—41no—
68C22×Q8×C13C2×C414yes—
69C22×Q8×C13C2311yescharacteristic
70C22×Q8×C13C2311yescharacteristic
71C22×Q8×C13C2311yescharacteristic
72C23×C4×C13—21no—
73C23×C4×C13C2311yescharacteristic
74C23×Dic13—21no—
75C2×C13×Q16—22no—
76C2×C13×Q16—22no—
77C2×C13×Q16—41no—
78C2×C13×Q16—41no—
79C2×C13×Q16C2×C414yescomplemented
80C2×C13×Q16C2×C414yescomplemented
81C22×C8×C13C2311yescharacteristic
82C22×C8×C13C2311yescharacteristic
83C13×C22⋊Q8—22no—
84C13×C22⋊Q8C2×C414yes—
85C2×C13×C4⋊C4—21no—
86C2×C13×C4⋊C4C2311yescharacteristic
87C2×C13×C22⋊C4—21no—
88C2×C22⋊Dic13—21no—
89C2×C22⋊Dic13D411yescharacteristic
90C2×C22⋊Dic13D411yescharacteristic
91Q8×Dic13—22no—
92Q8×Dic13—22no—
93Q8×Dic13—22no—
94Q8×Dic13—41no—
95Q8×Dic13—41no—
96Q8×Dic13—41no—
97C2×C4⋊Dic13—22no—
98C2×C4⋊Dic13—21no—
99C2×C4⋊Dic13—21no—
100C2×C4⋊Dic13—21no—
101C2×C4⋊Dic13—21no—
102C2×C4⋊Dic13—21no—
103C2×C4⋊Dic13—41no—
104C2×C4⋊Dic13C2311yescharacteristic
105C2×C4⋊Dic13C2311yescharacteristic
106C2×C4⋊Dic13C2311yescharacteristic
107C2×C4⋊Dic13C2311yescharacteristic
108C2×C4×Dic13—21no—
109C2×C4×Dic13—21no—
110C2×C4×Dic13—21no—
111C2×C4×Dic13—21no—
112C2×C4×Dic13C2311yescharacteristic
113C2×C4×Dic13C2311yescharacteristic
114C22×#1055—22no—
115C22×#1055—22no—
116C22×#1055—41no—
117C22×#1055C2311yescharacteristic
118C22×#1055C2311yescharacteristic
119C13×#103C2×C414yescomplemented
120C13×#103C2×C414yescomplemented
121C13×C22⋊C8C2×C414yes—
122#88075—22no—
123#88075—22no—
124#88075—22no—
125#88075—22no—
126#88075—41no—
127#88075D414yes—
128#88071—21no—
129#88071—21no—
130#88071—21no—
131#88071—21no—
132#88071—21no—
133#88071—21no—
134#88071—21no—
135#88071—21no—
136#88071—21no—
137#88071D411yescharacteristic
138#88071D411yescharacteristic
139#88057—22no—
140#88057—41no—
141#88055—22no—
142#88055—41no—
143#22859—131nomaximal, Sylow
144C24×C13C2×D411yescharacteristic
145C2×Q8×C13—24no—
146C2×Q8×C13—21no—
147C2×Q8×C13—21no—
148C2×Q8×C13—21no—
149C2×Q8×C13—21no—
150C2×Q8×C13—21no—
151C2×Q8×C13—28no—
152C2×Q8×C13—21no—
153C2×Q8×C13—21no—
154C2×Q8×C13—21no—
155C2×Q8×C13—21no—
156C2×Q8×C13—21no—
157C2×Q8×C13—21no—
158C2×Q8×C13—21no—
159C2×Q8×C13—21no—
160C2×Q8×C13—42no—
161C2×Q8×C13—42no—
162C2×Q8×C13—44no—
163C2×Q8×C13—44no—
164C2×Q8×C13—44no—
165C2×Q8×C13C22×C412yes—
166C2×Q8×C13C22×C412yes—
167C2×Q8×C13C22×C412yes—
168C2×Q8×C13C2×D412yes—
169C2×Q8×C13#4112yes—
170C22×C4×C13—21no—
171C22×C4×C13—21no—
172C22×C4×C13—21no—
173C22×C4×C13—21no—
174C22×C4×C13—21no—
175C22×C4×C13—24no—
176C22×C4×C13—21no—
177C22×C4×C13—21no—
178C22×C4×C13—21no—
179C22×C4×C13—42no—
180C22×C4×C13—42no—
181C22×C4×C13C22×C412yes—
182C22×C4×C13C2×D411yescharacteristic
183C22×C4×C13#4112yes—
184C22×C4×C13C2411yescharacteristic
185C22×Dic13—21no—
186C22×Dic13—21no—
187C22×Dic13—21no—
188C22×Dic13—21no—
189C22×Dic13—42no—
190C22×Dic13—42no—
191C22×Dic13—81no—
192C22×Dic13C2×D411yescharacteristic
193C22×Dic13C2×D411yescharacteristic
194C22×Dic13C2×D411yescharacteristic
195C22×Dic13C2×D411yescharacteristic
196C13×Q16—28no—
197C13×Q16—44no—
198C2×C8×C13—21no—
199C2×C8×C13—21no—
200C2×C8×C13—21no—
201C2×C8×C13—21no—
202C2×C8×C13C22×C412yes—
203C2×C8×C13C22×C412yes—
204C13×C4⋊C4—24no—
205C13×C4⋊C4—21no—
206C13×C4⋊C4C22×C412yes—
207C13×C22⋊C4—24no—
208C22⋊Dic13—22no—
209C22⋊Dic13—22no—
210C22⋊Dic13—42no—
211C4⋊Dic13—21no—
212C4⋊Dic13—21no—
213C4⋊Dic13—21no—
214C4⋊Dic13—21no—
215C4⋊Dic13—21no—
216C4⋊Dic13—21no—
217C4⋊Dic13—21no—
218C4⋊Dic13—42no—
219C4⋊Dic13—42no—
220C4⋊Dic13—42no—
221C4⋊Dic13—42no—
222C4⋊Dic13—81no—
223C4⋊Dic13C2×D412yes—
224C4×Dic13—21no—
225C4×Dic13—21no—
226C4×Dic13—21no—
227C4×Dic13—21no—
228C4×Dic13—42no—
229C4×Dic13—42no—
230C4×Dic13—42no—
231C4×Dic13—81no—
232C2×#1055—21no—
233C2×#1055—21no—
234C2×#1055—21no—
235C2×#1055—21no—
236C2×#1055—21no—
237C2×#1055—44no—
238C2×#1055C2×D412yes—
239C2×#451D1311yescharacteristic
240C2×#441—131no—
241C22×#103—131no—
242#2360—131no—
243Q8×C22⋊C4—131no—
244#1971—131no—
245#1935—131no—
246#1927—131no—
247#1892—131no—
248#1878—131no—
249#1878—131no—
250#1865—131no—
251#1853—131no—
252#1763—131no—
253#1752—131no—
254C23×C13—21no—
255C23×C13—21no—
256C23×C13—21no—
257C23×C13—21no—
258C23×C13C4×D412yes—
259C23×C13#13712yes—
260C23×C13#13712yes—
261C23×C13C22×D411yescharacteristic
262Q8×C13—22no—
263Q8×C13—22no—
264Q8×C13—22no—
265Q8×C13—22no—
266Q8×C13—22no—
267Q8×C13—22no—
268Q8×C13—22no—
269Q8×C13—48no—
270Q8×C13—41no—
271Q8×C13—41no—
272Q8×C13—41no—
273Q8×C13—41no—
274Q8×C13C4×D414yes—
275C2×C4×C13—22no—
276C2×C4×C13—22no—
277C2×C4×C13—21no—
278C2×C4×C13—22no—
279C2×C4×C13—21no—
280C2×C4×C13—22no—
281C2×C4×C13—22no—
282C2×C4×C13—22no—
283C2×C4×C13—22no—
284C2×C4×C13—22no—
285C2×C4×C13—22no—
286C2×C4×C13—22no—
287C2×C4×C13—48no—
288C2×C4×C13—41no—
289C2×C4×C13—41no—
290C2×C4×C13—41no—
291C2×C4×C13—41no—
292C2×C4×C13—41no—
293C2×C4×C13—41no—
294C2×C4×C13C4×D412yes—
295C2×C4×C13C23×C411yescharacteristic
296C2×C4×C13C22×D411yescharacteristic
297C2×C4×C13C2×#4111yescharacteristic
298C2×C4×C13C2×#4111yescharacteristic
299C2×C4×C13H(5,𝔽2)11yescharacteristic
300C2×C4×C13H(5,𝔽2)11yescharacteristic
301C2×Dic13—21no—
302C2×Dic13—21no—
303C2×Dic13—22no—
304C2×Dic13—21no—
305C2×Dic13—21no—
306C2×Dic13—21no—
307C2×Dic13—21no—
308C2×Dic13—21no—
309C2×Dic13—21no—
310C2×Dic13—21no—
311C2×Dic13—21no—
312C2×Dic13—21no—
313C2×Dic13—21no—
314C2×Dic13—41no—
315C2×Dic13—41no—
316C2×Dic13—41no—
317C2×Dic13—41no—
318C2×Dic13—41no—
319C2×Dic13—41no—
320C2×Dic13—41no—
321C2×Dic13—41no—
322C2×Dic13—41no—
323C2×Dic13—41no—
324C2×Dic13—41no—
325C2×Dic13—84no—
326C8×C13—22no—
327C8×C13—22no—
328#1055—22no—
329#1055—41no—
330C23×Q8C2×D1311yescharacteristic
331C22×Q16C2×D1311yescharacteristic
332C22×Q16C2×D1311yescharacteristic
333C23×C8—131no—
334C2×C22⋊Q8C2×D1311yescharacteristic
335C2×C4×Q8—131no—
336C2×C4×Q8—131no—
337C2×C4×Q8—131no—
338C22×C4⋊C4—131no—
339#451Dic1318yescomplemented
340#441—264no—
341C2×#106—131no—
342C2×#106—131no—
343C2×#103—131no—
344C2×#103—131no—
345C2×#103—131no—
346C2×#103—131no—
347C2×#103—131no—
348C2×#103—131no—
349C2×#103—264no—
350C2×#103C2×D1311yescharacteristic
351C2×#103C2×D1311yescharacteristic
352C2×C22⋊C8C2×D1311yescharacteristic
353C2×#97—131no—
354C2×#97—131no—
355#391—131no—
356#391—131no—
357#391—131no—
358#391—261no—
359#391—261no—
360#389—131no—
361#389—261no—
362#387—261no—
363#385—261no—
364#380—131no—
365#380—261no—
366C4×C4⋊C4—131no—
367C4×C22⋊C4—131no—
368C4×C22⋊C4—261no—
369C4×C22⋊C4—261no—
370#340—131no—
371#340—131no—
372#340—131no—
373#340—131no—
374#336—131no—
375#336—131no—
376C22×C13—22no—
377C22×C13—22no—
378C22×C13—22no—
379C22×C13—22no—
380C22×C13—22no—
381C22×C13—22no—
382C22×C13#44114yescomplemented
383C22×C13C2×C4×D411yescharacteristic
384C22×C13D4211yescharacteristic
385C22×C13#54611yescharacteristic
386C22×C13C2×#13711yescharacteristic
387C22×C13C2×#13711yescharacteristic
388C22×C13#57711yescharacteristic
389C22×C13#57811yescharacteristic
390C4×C13—22no—
391C4×C13—24no—
392C4×C13—42no—
393C4×C13—42no—
394C4×C13—42no—
395C4×C13C2×C4×D411yescharacteristic
396C4×C13#51811yescharacteristic
397C4×C13#54611yescharacteristic
398C4×C13#55111yescharacteristic
399Dic13—41no—
400Dic13—42no—
401Dic13—41no—
402Dic13—41no—
403Dic13—41no—
404Dic13—81no—
405Dic13—81no—
406Dic13—81no—
407C22×Q8—21no—
408C22×Q8—22no—
409C22×Q8—22no—
410C22×Q8—22no—
411C22×Q8—41no—
412C22×Q8—41no—
413C22×Q8C2×Dic1314yes—
414C22×Q8C22×D1311yescharacteristic
415C22×Q8C22×D1311yescharacteristic
416C22×Q8C22×D1311yescharacteristic
417C23×C4—21no—
418C23×C4—261no—
419C23×C4C22×D1311yescharacteristic
420C2×Q16—22no—
421C2×Q16—22no—
422C2×Q16—41no—
423C2×Q16—41no—
424C2×Q16C2×Dic1314yescomplemented
425C2×Q16C2×Dic1314yescomplemented
426C22×C8—131no—
427C22×C8—131no—
428C22×C8—262no—
429C22×C8—262no—
430C22×C8—521no—
431C22×C8C22×D1311yescharacteristic
432C22×C8C22×D1311yescharacteristic
433C22⋊Q8—22no—
434C22⋊Q8C2×Dic1314yes—
435C4×Q8—262no—
436C4×Q8—262no—
437C4×Q8—262no—
438C4×Q8—521no—
439C4×Q8—521no—
440C4×Q8—521no—
441C2×C4⋊C4—21no—
442C2×C4⋊C4—131no—
443C2×C4⋊C4—131no—
444C2×C4⋊C4—131no—
445C2×C4⋊C4—131no—
446C2×C4⋊C4—262no—
447C2×C4⋊C4—261no—
448C2×C4⋊C4—261no—
449C2×C4⋊C4—261no—
450C2×C4⋊C4—261no—
451C2×C4⋊C4—261no—
452C2×C4⋊C4—521no—
453C2×C4⋊C4C22×D1311yescharacteristic
454C2×C22⋊C4—21no—
455C2×C22⋊C4—131no—
456C2×C22⋊C4—131no—
457C2×C22⋊C4—261no—
458C2×C42—131no—
459C2×C42—131no—
460C2×C42—261no—
461C2×C42—261no—
462C2×C42—261no—
463C2×C42—261no—
464#106—262no—
465#106—521no—
466#103—134no—
467#103—262no—
468#103—262no—
469#103—262no—
470#103—262no—
471#103—521no—
472#103C2×Dic1314yescomplemented
473#103C2×Dic1314yescomplemented
474C22⋊C8C2×Dic1314yes—
475#97—262no—
476#97—521no—
477#95—131no—
478#95—131no—
479#95—261no—
480#95—261no—
481#95—261no—
482#95—261no—
483#95—261no—
484#95—261no—
485#95—261no—
486#95—261no—
487#95—261no—
488C2×C13—24no—
489C2×C13#235811yescharacteristic
490C2×C13C2×#44111yescharacteristic
491C2×C13#294711yescharacteristic
492C2×C13#326611yescharacteristic
493C2×C13#327011yescharacteristic
494C2×C13#331211yescharacteristic
495C2×C13#331611yescharacteristic
496C24D4×D1311yescharacteristic
497C2×Q8—24no—
498C2×Q8—21no—
499C2×Q8—21no—
500C2×Q8—21no—
501C2×Q8—21no—
502C2×Q8—21no—
503C2×Q8—28no—
504C2×Q8—21no—
505C2×Q8—21no—
506C2×Q8—21no—
507C2×Q8—21no—
508C2×Q8—21no—
509C2×Q8—21no—
510C2×Q8—21no—
511C2×Q8—21no—
512C2×Q8—42no—
513C2×Q8—42no—
514C2×Q8—44no—
515C2×Q8—44no—
516C2×Q8—44no—
517C2×Q8D4×D1312yes—
518C2×Q8#612912yes—
519C2×Q8C22×Dic1312yes—
520C2×Q8C22×Dic1312yes—
521C2×Q8C22×Dic1312yes—
522C22×C4—21no—
523C22×C4—21no—
524C22×C4—21no—
525C22×C4—21no—
526C22×C4—21no—
527C22×C4—24no—
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—21no—
531C22×C4—42no—
532C22×C4—42no—
533C22×C4—131no—
534C22×C4—131no—
535C22×C4—131no—
536C22×C4—131no—
537C22×C4—261no—
538C22×C4—261no—
539C22×C4—261no—
540C22×C4—261no—
541C22×C4—522no—
542C22×C4—522no—
543C22×C4—1041no—
544C22×C4D4×D1311yescharacteristic
545C22×C4#612912yes—
546C22×C4C22×Dic1312yes—
547C22×C4C23×D1311yescharacteristic
548Q16—28no—
549Q16—44no—
550C2×C8—21no—
551C2×C8—21no—
552C2×C8—21no—
553C2×C8—21no—
554C2×C8—132no—
555C2×C8—261no—
556C2×C8—261no—
557C2×C8—261no—
558C2×C8—261no—
559C2×C8—261no—
560C2×C8—524no—
561C2×C8C22×Dic1312yes—
562C2×C8C22×Dic1312yes—
563C4⋊C4—24no—
564C4⋊C4—21no—
565C4⋊C4—132no—
566C4⋊C4—261no—
567C4⋊C4—261no—
568C4⋊C4—261no—
569C4⋊C4—261no—
570C4⋊C4—261no—
571C4⋊C4—261no—
572C4⋊C4—261no—
573C4⋊C4—522no—
574C4⋊C4—522no—
575C4⋊C4—522no—
576C4⋊C4—522no—
577C4⋊C4—1041no—
578C4⋊C4C22×Dic1312yes—
579C22⋊C4—24no—
580C22⋊C4—262no—
581C22⋊C4—262no—
582C22⋊C4—522no—
583C42—261no—
584C42—261no—
585C42—261no—
586C42—261no—
587C42—522no—
588C42—522no—
589C42—522no—
590C42—1041no—
591C13#2285911yescharacteristic, complemented, Sylow
592C23—21no—
593C23—21no—
594C23—21no—
595C23—21no—
596C23#8817212yes—
597C23#8817212yes—
598C23D4×Dic1312yes—
599C23C2×D4×D1311yescharacteristic
600Q8—22no—
601Q8—22no—
602Q8—22no—
603Q8—22no—
604Q8—22no—
605Q8—22no—
606Q8—22no—
607Q8—48no—
608Q8—41no—
609Q8—41no—
610Q8—41no—
611Q8—41no—
612Q8D4×Dic1314yes—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—21no—
616C2×C4—22no—
617C2×C4—21no—
618C2×C4—22no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—22no—
624C2×C4—22no—
625C2×C4—48no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—261no—
633C2×C4—261no—
634C2×C4—261no—
635C2×C4—261no—
636C2×C4—261no—
637C2×C4—261no—
638C2×C4—261no—
639C2×C4—261no—
640C2×C4—261no—
641C2×C4—261no—
642C2×C4—262no—
643C2×C4—261no—
644C2×C4—261no—
645C2×C4—521no—
646C2×C4—521no—
647C2×C4—521no—
648C2×C4—521no—
649C2×C4—521no—
650C2×C4—521no—
651C2×C4—521no—
652C2×C4—521no—
653C2×C4—521no—
654C2×C4—521no—
655C2×C4—521no—
656C2×C4—1044no—
657C2×C4D4×Dic1312yes—
658C2×C4C2×D4×D1311yescharacteristic
659C2×C4C2×#612911yescharacteristic
660C2×C4C2×#612911yescharacteristic
661C2×C4#8825111yescharacteristic
662C2×C4#8825111yescharacteristic
663C2×C4C23×Dic1311yescharacteristic
664C8—22no—
665C8—22no—
666C8—262no—
667C8—521no—
668C22—22no—
669C22—22no—
670C22—22no—
671C22—22no—
672C22—22no—
673C22—22no—
674C22#1171884514yescomplemented
675C22#1171929511yescharacteristic
676C22#1171929611yescharacteristic
677C22C2×#8817211yescharacteristic
678C22C2×#8817211yescharacteristic
679C22#1171948311yescharacteristic
680C22#1171948411yescharacteristic
681C22C2×D4×Dic1311yescharacteristic
682C4—22no—
683C4—24no—
684C4—42no—
685C4—42no—
686C4—42no—
687C4—521no—
688C4—521no—
689C4—521no—
690C4—522no—
691C4—521no—
692C4—1041no—
693C4—1041no—
694C4—1041no—
695C4#1171929211yescharacteristic
696C4#1171929611yescharacteristic
697C4C2×D4×Dic1311yescharacteristic
698C4#1171950311yescharacteristic
699C2—24no—
700C2#1311782011yescharacteristic
701C2C2×#1171884511yescharacteristic
702C2#1312368011yescharacteristic
703C2#1312633911yescharacteristic
704C2#1312641011yescharacteristic
705C2#1312689111yescharacteristic
706C2#1312695111yescharacteristic
subgroupG/H
centerC23C2×D4×D13
commutatorC2×C4×C13C23×C4
FrattiniC22×C4C23×D13
FittingC2×C13×#451C2
socleC23×C13C22×D4
prime radicalC24×C13C2×D4
cosocleC22×C4×C13C24
hypercenterC2×#451D13
hypocenterC13#22859
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#451

Complements

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

NH ≅ G/Ntype
1. C2×#11718845C2semidirect
5. #13115708C2semidirect
6. #13115528C2semidirect
7. #13115472C2semidirect
9. #13115179C2semidirect
10. #13115179C2semidirect
11. #13115106C2semidirect
13. #13114668C2semidirect
25. C13×#451C4semidirect
79. C2×C13×Q16C2×C4semidirect
80. C2×C13×Q16C2×C4semidirect
119. C13×#103C2×C4semidirect
120. C13×#103C2×C4semidirect
339. #451Dic13semidirect
382. C22×C13#441semidirect
424. C2×Q16C2×Dic13semidirect
425. C2×Q16C2×Dic13semidirect
472. #103C2×Dic13semidirect
473. #103C2×Dic13semidirect
591. C13#22859semidirect
674. C22#11718845semidirect

Maximal subgroups

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

subgroupindex
C2×#117188452
C22×#880752
#131178452
Q8×C22⋊Dic132
#131157082
#131155282
#131154722
#131152602
#131151792
#131151062
#131150312
#131146682
#131146152
C2×C13×#4512
#2285913