Finite Group Databasebeta

← #16727199

Subgroups — #16727199

Order 3328.

2818 conjugacy classes of subgroups.

The subgroup lattice has 690 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11719540C211yesmaximal, characteristic
2C4×#88256C211yesmaximal, characteristic, complemented
3#13123717C213yesmaximal, complemented
4#13123686C213yesmaximal, complemented
5#13123668C213yesmaximal, complemented
6#13123664C213yesmaximal, complemented
7C4×#88186C213yesmaximal, complemented
8C4×#88203C213yesmaximal, complemented
9#13123634C213yesmaximal, complemented
10C2×#11718675C213yesmaximal, complemented
11#13123429C211yesmaximal, characteristic, complemented
12#13123362C211yesmaximal, characteristic, complemented
13#13123359C211yesmaximal, characteristic, complemented
14#13123264C211yesmaximal, characteristic, complemented
15C4×C13×H(5,𝔽2)C211yesmaximal, characteristic, complemented
16C2×C13×H(5,𝔽2)C2211yescharacteristic
17C2×#88256C2211yescharacteristic
18C13×#520—21no—
19C13×#520C2211yescharacteristic
20C13×#520C2213yescomplemented
21C13×#518—23no—
22C13×#518C2213yescomplemented
23C4×C13×#41—21no—
24C4×C13×#41C2211yescharacteristic
25C4×C13×#41C2213yescomplemented
26C2×C4×D4×C13—23no—
27C2×C4×D4×C13C2213yescomplemented
28#11719540C4116yescomplemented
29#11719532C2211yescharacteristic
30C2×#88204C2213yes—
31C2×#88203C2213yes—
32C2×#88202C2211yescharacteristic
33C2×#88202C2211yescharacteristic
34C2×#88186C2213yes—
35C22×#6104C2213yes—
36#11719279—21no—
37C4×#6131—21no—
38#11719250—23no—
39C4×D4×D13—23no—
40#11719228C2213yescomplemented
41#11719226C2213yescomplemented
42C4×#6127C2213yescomplemented
43C2×C4×D52C2213yescomplemented
44#11718894C2213yescomplemented
45#11718893C2213yescomplemented
46#11718876C2213yescomplemented
47C2×#88072C2213yescomplemented
48#11718691C2211yescharacteristic, complemented
49#11718691C2213yescomplemented
50#11718687C2213yescomplemented
51#11718687C2213yescomplemented
52C4×#6106C2216yescomplemented
53#11718679C2213yescomplemented
54#11718679C2213yescomplemented
55C4×#6105C2216yescomplemented
56#11718675C2213yescomplemented
57#11718675C2216yescomplemented
58#11718675C2216yescomplemented
59#11718675C2216yescomplemented
60#11718675C2213yescomplemented
61C4×#6104C2216yescomplemented
62C4×#6104C2216yescomplemented
63#11718663C2213yescomplemented
64#11718662C2213yescomplemented
65#11718659C2213yescomplemented
66#11718658C2213yescomplemented
67#11718658C2213yescomplemented
68#11718656C2213yescomplemented
69#11718627C2213yescomplemented
70C2×#88049C2213yescomplemented
71#11718625C2213yescomplemented
72C2×#88048C2213yescomplemented
73C4×#6099C2213yescomplemented
74C2×#88043C2213yescomplemented
75C13×H(5,𝔽2)—24no—
76C13×H(5,𝔽2)C2×C418yescomplemented
77C2×C13×#41—21no—
78C2×C13×#41C2313yes—
79C2×C13×#41C2311yescharacteristic
80C22×D4×C13—23no—
81C22×D4×C13C2313yes—
82C23×C4×C13—23no—
83#88256—24no—
84#88256C2×C418yescomplemented
85C2×#6131—21no—
86C2×D4×D13—23no—
87C2×#6127C2313yes—
88C22×D52C2313yes—
89C22×C4×D13—23no—
90C4×Q8×C13—21no—
91C4×Q8×C13D411yescharacteristic
92C4×Q8×C13D411yescharacteristic
93C4×Q8×C13C2313yes—
94C4×Q8×C13C2311yescharacteristic
95C4×D4×C13—23no—
96C4×D4×C13—23no—
97C4×D4×C13—23no—
98C4×D4×C13—23no—
99C4×D4×C13—23no—
100C4×D4×C13—26no—
101C4×D4×C13—23no—
102C4×D4×C13—23no—
103C4×D4×C13D413yes—
104C4×D4×C13D413yes—
105C4×D4×C13C2313yes—
106C4×D4×C13C2316yes—
107C4×D4×C13C2313yes—
108C13×#117—23no—
109C13×#117—23no—
110C13×#117C2313yes—
111C13×#117C2313yes—
112C2×C13×C4⋊C4—23no—
113C2×C13×C4⋊C4C2313yes—
114C2×C13×C22⋊C4—23no—
115C2×C13×C22⋊C4—26no—
116C2×C42×C13—23no—
117C2×C42×C13C2313yes—
118#88204C2×C4124yescomplemented
119#88203C2×C4124yescomplemented
120#88202—24no—
121#88202C2×C418yescomplemented
122Q8×Dic13—21no—
123C2×#6107C2311yescharacteristic
124C2×#6106C2313yes—
125D4×Dic13—23no—
126C2×#6105C2313yes—
127#88186C2×C4124yescomplemented
128C2×#6104C2×C4124yescomplemented
129C2×#6104C2316yes—
130C2×#6104C2313yes—
131C4×C22⋊D13—23no—
132C4×C22⋊D13—23no—
133C2×#6103—23no—
134#88180C2313yes—
135C2×C4⋊Dic13C2313yes—
136C2×#6099C2313yes—
137C2×#6099C2313yes—
138C22×#1055C2313yes—
139C22×#1055C2313yes—
140#88147—23no—
141#88147—23no—
142#88146—23no—
143C4⋊C4×D13—23no—
144#88135—26no—
145C22⋊C4×D13—26no—
146C4×D52—23no—
147C4×D52—23no—
148C4×D52C2313yes—
149C4×D52C2316yes—
150C4×D52C2313yes—
151#88126—23no—
152C42×D13—23no—
153C4×Dic26C2311yescharacteristic
154C4×Dic26C2313yes—
155#88075C2313yes—
156#88075C2311yescharacteristic
157#88072C2313yes—
158#88072C2316yes—
159#88072C2313yes—
160#88050C2311yescharacteristic
161#88050C2313yes—
162#88049C2313yes—
163#88049C2316yes—
164#88049C2313yes—
165#88048C2316yes—
166#88048C2311yescharacteristic
167#88048C2313yes—
168#88047C2313yes—
169#88047C2313yes—
170#88043C2313yes—
171#88043C2313yes—
172#88043C2311yescharacteristic
173#88043C2313yes—
174C4×#1055C2316yes—
175#60176—131nomaximal, Sylow
176C24×C13—23no—
177C23×D13—23no—
178C13×#41—28no—
179C13×#41—26no—
180C13×#41C22×C414yes—
181C13×#41C22×C4112yescomplemented
182C13×#41#4114yes—
183C2×Q8×C13C2×D411yescharacteristic
184C2×Q8×C13C2411yescharacteristic
185C2×D4×C13—23no—
186C2×D4×C13—224no—
187C2×D4×C13—23no—
188C2×D4×C13—26no—
189C2×D4×C13C22×C4112yescomplemented
190C2×D4×C13C2×D413yes—
191C2×D4×C13C2413yes—
192C22×C4×C13—23no—
193C22×C4×C13—23no—
194C22×C4×C13—23no—
195C22×C4×C13—23no—
196C22×C4×C13—26no—
197C22×C4×C13—86no—
198C22×C4×C13C2×D413yes—
199C22×C4×C13C2×D413yes—
200C22×C4×C13C2413yes—
201C2×C22⋊D13—23no—
202C22×Dic13—23no—
203#6131—28no—
204D4×D13—224no—
205#6127—26no—
206#6127C22×C4112yescomplemented
207C2×D52—23no—
208C2×D52—26no—
209C2×D52C22×C4112yescomplemented
210C2×D52C2413yes—
211C2×C4×D13—23no—
212C2×C4×D13—23no—
213C2×C4×D13—23no—
214C2×C4×D13—26no—
215C2×C4×D13—86no—
216C2×Dic26C2411yescharacteristic
217C13×C4⋊C4—23no—
218C13×C4⋊C4—23no—
219C13×C4⋊C4—21no—
220C13×C4⋊C4C2×D413yes—
221C13×C4⋊C4C2×D413yes—
222C13×C4⋊C4C2413yes—
223C13×C4⋊C4C2411yescharacteristic
224C13×C22⋊C4—23no—
225C13×C22⋊C4—23no—
226C13×C22⋊C4—23no—
227C13×C22⋊C4—26no—
228C13×C22⋊C4C2×D416yes—
229C42×C13—21no—
230C42×C13—23no—
231C42×C13—23no—
232C42×C13C2×D413yes—
233C42×C13C2×D413yes—
234C42×C13C2411yescharacteristic
235C42×C13C2413yes—
236C22⋊Dic13—23no—
237#6107C22×C414yescomplemented
238#6106C22×C4112yescomplemented
239#6105C22×C4112yescomplemented
240#6104C22×C4112yescomplemented
241#6104C22×C4124yescomplemented
242#6103—23no—
243#6103—23no—
244#6103—26no—
245C4⋊Dic13—23no—
246C4⋊Dic13C2413yes—
247C4⋊Dic13C2411yescharacteristic
248#6101—21no—
249#6101—23no—
250C4×Dic13—21no—
251C4×Dic13—23no—
252C4×Dic13—23no—
253#6099—26no—
254#6099C22×C4112yescomplemented
255C2×#1055—26no—
256C2×#1055C22×C4112yescomplemented
257C2×#1055C2411yescharacteristic
258C2×#1055C2413yes—
259C2×#1055C2411yescharacteristic
260C2×#1055C2413yes—
261C2×#576—131no—
262C4×H(5,𝔽2)—131no—
263C4×H(5,𝔽2)D1311yescharacteristic, complemented
264#2952—133no—
265#2948—133no—
266#2946—133no—
267#2946—133no—
268C4×AGL(1,ℤ/8)—133no—
269C4×AGL(1,ℤ/8)—133no—
270#2943—133no—
271C2×#442—133no—
272#2912—131no—
273#2897—131no—
274#2897—131no—
275#2875—131no—
276C23×C13—23no—
277C23×C13—212no—
278C23×C13—83no—
279C23×C13—83no—
280C23×C13C22×D413yes—
281C22×D13—23no—
282C22×D13—212no—
283C22×D13—83no—
284C22×D13—83no—
285Q8×C13—21no—
286Q8×C13C4×D414yes—
287Q8×C13C23×C412yes—
288D4×C13—212no—
289D4×C13—212no—
290D4×C13—23no—
291D4×C13C4×D4112yes—
292D4×C13C23×C416yes—
293C2×C4×C13—21no—
294C2×C4×C13—212no—
295C2×C4×C13—21no—
296C2×C4×C13—23no—
297C2×C4×C13—43no—
298C2×C4×C13—43no—
299C2×C4×C13—46no—
300C2×C4×C13—83no—
301C2×C4×C13—86no—
302C2×C4×C13—83no—
303C2×C4×C13C23×C416yes—
304C2×C4×C13C22×D413yes—
305C2×C4×C13C22×D411yescharacteristic
306C2×C4×C13C22×D411yescharacteristic
307C2×C4×C13C22×D413yes—
308C2×C4×C13C22×D413yes—
309C2×C4×C13C2×#4116yes—
310C2×C4×C13C2511yescharacteristic
311C22⋊D13—212no—
312C2×Dic13—21no—
313C2×Dic13—21no—
314C2×Dic13—23no—
315C2×Dic13—83no—
316D52—212no—
317D52—23no—
318D52C23×C416yes—
319C4×D13—212no—
320C4×D13—46no—
321C4×D13—83no—
322C4×D13—86no—
323Dic26—21no—
324Dic26C23×C412yes—
325#1055—21no—
326#1055—23no—
327#1055C23×C412yes—
328#1055C23×C416yes—
329C2×H(5,𝔽2)—131no—
330C2×H(5,𝔽2)C2×D1311yescharacteristic
331#576—1316no—
332C2×AGL(1,ℤ/8)—133no—
333C2×AGL(1,ℤ/8)—133no—
334C2×#135—133no—
335C22×D8—133no—
336C2×#131—131no—
337C2×#131—131no—
338#520—21no—
339#520—131no—
340#520—133no—
341#520—261no—
342#520C2×D1311yescharacteristic
343#520C2×D1313yescomplemented
344#518—23no—
345#518—133no—
346#518—263no—
347#518C2×D1313yescomplemented
348C4×#41—21no—
349C4×#41—133no—
350C4×#41—261no—
351C4×#41C2×D1311yescharacteristic
352C4×#41C2×D1313yescomplemented
353C2×C4×D4—23no—
354C2×C4×D4—133no—
355C2×C4×D4—263no—
356C2×C4×D4C2×D1313yescomplemented
357#442—133no—
358#442—136no—
359#442—136no—
360#442—136no—
361#442—133no—
362#441—131no—
363#441—133no—
364#440—133no—
365#440—133no—
366#440—133no—
367#440—133no—
368C4×SD16—136no—
369C4×SD16—136no—
370C4×D8—136no—
371C4×D8—136no—
372#428—133no—
373#428—133no—
374#427—133no—
375C2×#106—133no—
376#418—133no—
377#418—133no—
378#417—133no—
379#417—133no—
380#416—133no—
381#416—133no—
382C2×#102—133no—
383C2×#102—133no—
384#405—133no—
385#405—133no—
386C4×M16—133no—
387C2×#97—133no—
388C22×C13—23no—
389C22×C13—23no—
390C22×C13—26no—
391C22×C13—43no—
392C22×C13—43no—
393C22×C13—812no—
394C22×C13C2×C4×D416yes—
395C22×C13C23×D411yescharacteristic
396C2×D13—26no—
397C2×D13—43no—
398C2×D13—43no—
399C2×D13—812no—
400C4×C13—21no—
401C4×C13—23no—
402C4×C13—23no—
403C4×C13—21no—
404C4×C13—22no—
405C4×C13—43no—
406C4×C13—41no—
407C4×C13C2×C4×D416yes—
408C4×C13C24×C411yescharacteristic
409C4×C13C22×#4111yescharacteristic
410Dic13—22no—
411Dic13—43no—
412Dic13—41no—
413H(5,𝔽2)—24no—
414H(5,𝔽2)—138no—
415H(5,𝔽2)—264no—
416H(5,𝔽2)C4×D1318yescomplemented
417C2×#41—21no—
418C2×#41—133no—
419C2×#41—261no—
420C2×#41C22×D1313yes—
421C2×#41C22×D1311yescharacteristic
422C22×D4—23no—
423C22×D4—133no—
424C22×D4—263no—
425C22×D4C22×D1313yes—
426C23×C4—23no—
427C23×C4—263no—
428AGL(1,ℤ/8)—1324no—
429AGL(1,ℤ/8)—1324no—
430#135—1324no—
431C2×Q16—131no—
432C2×SD16—133no—
433C2×SD16—133no—
434C2×D8—1324no—
435C2×D8—133no—
436C2×D8—136no—
437#131—138no—
438#131—264no—
439C2×M16—133no—
440C2×M16—133no—
441C22×C8—133no—
442C22×C8—133no—
443C4×Q8—21no—
444C4×Q8—131no—
445C4×Q8—133no—
446C4×Q8—261no—
447C4×Q8C22⋊D1311yescharacteristic
448C4×Q8C22⋊D1311yescharacteristic
449C4×Q8C22×D1311yescharacteristic
450C4×Q8C22×D1313yes—
451C4×D4—23no—
452C4×D4—23no—
453C4×D4—23no—
454C4×D4—23no—
455C4×D4—23no—
456C4×D4—26no—
457C4×D4—23no—
458C4×D4—23no—
459C4×D4—133no—
460C4×D4—136no—
461C4×D4—133no—
462C4×D4—263no—
463C4×D4—263no—
464C4×D4—263no—
465C4×D4—263no—
466C4×D4—263no—
467C4×D4—266no—
468C4×D4—263no—
469C4×D4—263no—
470C4×D4C22⋊D1313yes—
471C4×D4C22⋊D1313yes—
472C4×D4C22×D1313yes—
473C4×D4C22×D1316yes—
474C4×D4C22×D1313yes—
475#117—23no—
476#117—23no—
477#117—133no—
478#117—263no—
479#117—263no—
480#117C22×D1313yes—
481#117C22×D1313yes—
482C2×C4⋊C4—23no—
483C2×C4⋊C4—133no—
484C2×C4⋊C4—263no—
485C2×C4⋊C4C22×D1313yes—
486C2×C22⋊C4—23no—
487C2×C22⋊C4—26no—
488C2×C22⋊C4—263no—
489C2×C22⋊C4—266no—
490C2×C42—23no—
491C2×C42—263no—
492C2×C42C22×D1313yes—
493#107—133no—
494#107—133no—
495#106—133no—
496#106—136no—
497#106—131no—
498#103—131no—
499#103—133no—
500#103—131no—
501#103—133no—
502#102—133no—
503#102—136no—
504#102—133no—
505#102—133no—
506#102—136no—
507#102—133no—
508#97—131no—
509#97—133no—
510#97—133no—
511#97—133no—
512C4×C8—136no—
513C2×C13—26no—
514C2×C13—46no—
515C2×C13C22×C4×D411yescharacteristic
516C2×C13#358511yescharacteristic
517C2×C13#358511yescharacteristic
518D13—46no—
519C24—23no—
520C24—263no—
521#41—28no—
522#41—26no—
523#41—1312no—
524#41—268no—
525#41—266no—
526#41C2×C4×D1314yes—
527#41C2×C4×D13112yescomplemented
528#41#612714yes—
529C2×Q8—131no—
530C2×Q8C2×C22⋊D1311yescharacteristic
531C2×Q8C23×D1311yescharacteristic
532C2×D4—23no—
533C2×D4—224no—
534C2×D4—26no—
535C2×D4—23no—
536C2×D4—1312no—
537C2×D4—133no—
538C2×D4—263no—
539C2×D4—2624no—
540C2×D4—266no—
541C2×D4—263no—
542C2×D4C2×C4×D13112yescomplemented
543C2×D4C2×C22⋊D1313yes—
544C2×D4C23×D1313yes—
545C22×C4—23no—
546C22×C4—23no—
547C22×C4—23no—
548C22×C4—23no—
549C22×C4—26no—
550C22×C4—86no—
551C22×C4—263no—
552C22×C4—263no—
553C22×C4—263no—
554C22×C4—263no—
555C22×C4—266no—
556C22×C4—1046no—
557C22×C4C2×C22⋊D1313yes—
558C22×C4C2×C22⋊D1313yes—
559C22×C4C23×D1313yes—
560Q16—134no—
561SD16—1312no—
562SD16—1312no—
563D8—1312no—
564D8—1324no—
565M16—1312no—
566M16—266no—
567C2×C8—1312no—
568C2×C8—133no—
569C2×C8—131no—
570C2×C8—133no—
571C2×C8—131no—
572C2×C8—266no—
573C4⋊C4—23no—
574C4⋊C4—23no—
575C4⋊C4—21no—
576C4⋊C4—133no—
577C4⋊C4—131no—
578C4⋊C4—263no—
579C4⋊C4—263no—
580C4⋊C4—261no—
581C4⋊C4C2×C22⋊D1313yes—
582C4⋊C4C2×C22⋊D1313yes—
583C4⋊C4C23×D1313yes—
584C4⋊C4C23×D1311yescharacteristic
585C22⋊C4—23no—
586C22⋊C4—23no—
587C22⋊C4—26no—
588C22⋊C4—23no—
589C22⋊C4—263no—
590C22⋊C4—263no—
591C22⋊C4—263no—
592C22⋊C4—266no—
593C22⋊C4C2×C22⋊D1316yes—
594C42—21no—
595C42—23no—
596C42—23no—
597C42—261no—
598C42—263no—
599C42—263no—
600C42C2×C22⋊D1313yes—
601C42C2×C22⋊D1313yes—
602C42C23×D1313yes—
603C42C23×D1311yescharacteristic
604C13#6017611yescharacteristic, complemented, Sylow
605C23—23no—
606C23—212no—
607C23—83no—
608C23—83no—
609C23—263no—
610C23—2612no—
611C23—1043no—
612C23—1043no—
613C23C22×C22⋊D1313yes—
614Q8—21no—
615Q8—132no—
616Q8—261no—
617Q8C4×C22⋊D1314yes—
618Q8C22×C4×D1312yes—
619D4—212no—
620D4—212no—
621D4—23no—
622D4—136no—
623D4—2612no—
624D4—2612no—
625D4—263no—
626D4C4×C22⋊D13112yes—
627D4C22×C4×D1316yes—
628C2×C4—21no—
629C2×C4—212no—
630C2×C4—21no—
631C2×C4—23no—
632C2×C4—43no—
633C2×C4—43no—
634C2×C4—46no—
635C2×C4—86no—
636C2×C4—83no—
637C2×C4—83no—
638C2×C4—261no—
639C2×C4—2612no—
640C2×C4—261no—
641C2×C4—263no—
642C2×C4—526no—
643C2×C4—1043no—
644C2×C4—1046no—
645C2×C4—1043no—
646C2×C4C22×C4×D1316yes—
647C2×C4C2×#612716yes—
648C2×C4C22×C22⋊D1311yescharacteristic
649C2×C4C22×C22⋊D1313yes—
650C2×C4C22×C22⋊D1311yescharacteristic
651C2×C4C22×C22⋊D1313yes—
652C2×C4C22×C22⋊D1313yes—
653C2×C4C24×D1311yescharacteristic
654C8—132no—
655C8—136no—
656C8—261no—
657C8—263no—
658C22—23no—
659C22—23no—
660C22—26no—
661C22—43no—
662C22—43no—
663C22—812no—
664C22—266no—
665C22—523no—
666C22—523no—
667C22—10412no—
668C22C2×C4×C22⋊D1316yes—
669C22C23×C22⋊D1311yescharacteristic
670C4—22no—
671C4—21no—
672C4—23no—
673C4—21no—
674C4—23no—
675C4—41no—
676C4—43no—
677C4—262no—
678C4—523no—
679C4—521no—
680C4C2×C4×C22⋊D1316yes—
681C4C23×C4×D1311yescharacteristic
682C4C22×#612711yescharacteristic
683C2—26no—
684C2—46no—
685C2—526no—
686C2C22×C4×C22⋊D1311yescharacteristic
687C2#1312961511yescharacteristic
688C2#1312961611yescharacteristic
subgroupG/H
centerC22C23×C22⋊D13
commutatorC4×C13C24×C4
FrattiniC2×C4C24×D13
FittingC4×C13×H(5,𝔽2)C2
socleC22×C13C23×D4
prime radicalC2×#11719540C2
cosocleC2×C4×C13C25
hypercenterC4×H(5,𝔽2)D13
hypocenterC13#60176
LCSG ▷ C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22 ◁ C4×#41 ◁ C4×H(5,𝔽2)

Complements

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

NH ≅ G/Ntype
2. C4×#88256C2semidirect
3. #13123717C2semidirect
4. #13123686C2semidirect
5. #13123668C2semidirect
6. #13123664C2semidirect
7. C4×#88186C2semidirect
8. C4×#88203C2semidirect
9. #13123634C2semidirect
10. C2×#11718675C2semidirect
11. #13123429C2semidirect
12. #13123362C2semidirect
13. #13123359C2semidirect
14. #13123264C2semidirect
15. C4×C13×H(5,𝔽2)C2semidirect
20. C13×#520C22semidirect
22. C13×#518C22semidirect
25. C4×C13×#41C22semidirect
27. C2×C4×D4×C13C22semidirect
28. #11719540C4semidirect
40. #11719228C22semidirect
41. #11719226C22semidirect
42. C4×#6127C22semidirect
43. C2×C4×D52C22semidirect
44. #11718894C22semidirect
45. #11718893C22semidirect
46. #11718876C22semidirect
47. C2×#88072C22semidirect
48. #11718691C22semidirect
49. #11718691C22semidirect
50. #11718687C22semidirect
51. #11718687C22semidirect
52. C4×#6106C22semidirect
53. #11718679C22semidirect
54. #11718679C22semidirect
55. C4×#6105C22semidirect
56. #11718675C22semidirect
57. #11718675C22semidirect
58. #11718675C22semidirect
59. #11718675C22semidirect
60. #11718675C22semidirect
61. C4×#6104C22semidirect
62. C4×#6104C22semidirect
63. #11718663C22semidirect
64. #11718662C22semidirect
65. #11718659C22semidirect
66. #11718658C22semidirect
67. #11718658C22semidirect
68. #11718656C22semidirect
69. #11718627C22semidirect
70. C2×#88049C22semidirect
71. #11718625C22semidirect
72. C2×#88048C22semidirect
73. C4×#6099C22semidirect
74. C2×#88043C22semidirect
76. C13×H(5,𝔽2)C2×C4semidirect
84. #88256C2×C4semidirect
118. #88204C2×C4semidirect
119. #88203C2×C4semidirect
121. #88202C2×C4semidirect
127. #88186C2×C4semidirect
128. C2×#6104C2×C4semidirect
181. C13×#41C22×C4semidirect
189. C2×D4×C13C22×C4semidirect
206. #6127C22×C4semidirect
209. C2×D52C22×C4semidirect
237. #6107C22×C4semidirect
238. #6106C22×C4semidirect
239. #6105C22×C4semidirect
240. #6104C22×C4semidirect
241. #6104C22×C4semidirect
254. #6099C22×C4semidirect
256. C2×#1055C22×C4semidirect
263. C4×H(5,𝔽2)D13semidirect
343. #520C2×D13semidirect
347. #518C2×D13semidirect
352. C4×#41C2×D13semidirect
356. C2×C4×D4C2×D13semidirect
416. H(5,𝔽2)C4×D13semidirect
527. #41C2×C4×D13semidirect
542. C2×D4C2×C4×D13semidirect
604. C13#60176semidirect

Maximal subgroups

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

subgroupindex
C2×#117195402
C4×#882562
#131237172
#131236862
#131236682
#131236642
C4×#881862
C4×#882032
#131236342
C2×#117186752
#131234292
#131233622
#131233592
#131232642
C4×C13×H(5,𝔽2)2
#6017613