Finite Group Databasebeta

← #16727180

Subgroups — #16727180

Order 3328.

2734 conjugacy classes of subgroups.

The subgroup lattice has 680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11719541C211yesmaximal, characteristic
2C4×#88257C211yesmaximal, characteristic, complemented
3#13123709C213yesmaximal, complemented
4#13123693C213yesmaximal, complemented
5#13123675C213yesmaximal, complemented
6#13123668C213yesmaximal, complemented
7C4×#88205C213yesmaximal, complemented
8C4×#88186C213yesmaximal, complemented
9#13123634C213yesmaximal, complemented
10C2×#11718679C213yesmaximal, complemented
11#13123434C211yesmaximal, characteristic, complemented
12#13123366C211yesmaximal, characteristic, complemented
13#13123362C211yesmaximal, characteristic, complemented
14#13123264C211yesmaximal, characteristic, complemented
15C4×C13×H(5,𝔽2)C211yesmaximal, characteristic, complemented
16C2×C13×H(5,𝔽2)C2211yescharacteristic
17C2×#88257C2211yescharacteristic
18C13×#520—21no—
19C13×#520C2213yes—
20C13×#520C2211yescharacteristic
21C13×#518—23no—
22C13×#518C2213yes—
23C4×C13×#41—21no—
24C4×C13×#41C2213yes—
25C4×C13×#41C2211yescharacteristic
26C2×C4×D4×C13—23no—
27C2×C4×D4×C13C2213yes—
28#11719541C4116yescomplemented
29#11719532C2211yescharacteristic
30C2×#88205C2213yes—
31C2×#88204C2213yes—
32C2×#88202C2211yescharacteristic
33C2×#88202C2211yescharacteristic
34C22×#6105C2213yes—
35C2×#88186C2213yes—
36#11719277—21no—
37C4×Q8×D13—21no—
38#11719251—23no—
39C4×#6129—23no—
40#11719228C2213yescomplemented
41#11719221C2213yescomplemented
42C4×#6127C2213yescomplemented
43C2×C4×Dic26C2213yescomplemented
44#11718894C2213yes—
45#11718893C2213yes—
46#11718876C2213yes—
47C2×#88072C2213yes—
48#11718691C2213yescomplemented
49#11718691C2213yescomplemented
50C4×#6107C2216yescomplemented
51#11718687C2211yescharacteristic, complemented
52#11718687C2213yescomplemented
53#11718679C2213yescomplemented
54#11718679C2216yescomplemented
55#11718679C2216yescomplemented
56#11718679C2216yescomplemented
57#11718679C2213yescomplemented
58C4×#6105C2216yescomplemented
59C4×#6105C2216yescomplemented
60#11718675C2213yescomplemented
61#11718675C2213yescomplemented
62C4×#6104C2216yescomplemented
63#11718665C2213yescomplemented
64#11718663C2213yescomplemented
65#11718659C2213yescomplemented
66#11718658C2213yescomplemented
67#11718658C2213yescomplemented
68#11718656C2213yescomplemented
69C2×#88050C2213yescomplemented
70#11718627C2213yescomplemented
71#11718625C2213yescomplemented
72C2×#88047C2213yescomplemented
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#88257—24no—
84#88257C2×C418yescomplemented
85C2×Q8×D13—21no—
86C2×#6129—23no—
87C2×#6127C2313yes—
88C22×Dic26C2313yes—
89C4×Q8×C13—21no—
90C4×Q8×C13D411yescharacteristic
91C4×Q8×C13D411yescharacteristic
92C4×Q8×C13C2313yes—
93C4×Q8×C13C2311yescharacteristic
94C4×D4×C13—23no—
95C4×D4×C13—23no—
96C4×D4×C13—23no—
97C4×D4×C13—23no—
98C4×D4×C13—23no—
99C4×D4×C13—26no—
100C4×D4×C13—23no—
101C4×D4×C13—23no—
102C4×D4×C13D413yes—
103C4×D4×C13D413yes—
104C4×D4×C13C2316yes—
105C4×D4×C13C2313yes—
106C4×D4×C13C2313yes—
107C13×#117—23no—
108C13×#117—23no—
109C13×#117C2313yes—
110C13×#117C2313yes—
111C2×C13×C4⋊C4—23no—
112C2×C13×C4⋊C4C2313yes—
113C2×C13×C22⋊C4—23no—
114C2×C13×C22⋊C4—26no—
115C2×C42×C13—23no—
116C2×C42×C13C2313yes—
117#88205C2×C4124yescomplemented
118#88204C2×C4124yescomplemented
119#88202—24no—
120#88202C2×C418yescomplemented
121Q8×Dic13—21no—
122C2×#6107C2313yes—
123C2×#6106C2311yescharacteristic
124D4×Dic13—23no—
125C2×#6105C2×C4124yescomplemented
126C2×#6105C2316yes—
127C2×#6105C2313yes—
128#88186C2×C4124yescomplemented
129C2×#6104C2313yes—
130C4×C22⋊D13—23no—
131C4×C22⋊D13—23no—
132#88180C2313yes—
133C2×C4⋊Dic13C2313yes—
134C2×#6101—23no—
135C2×C4×Dic13—23no—
136C2×#6099C2313yes—
137C2×#6099C2313yes—
138C22×#1055C2313yes—
139C22×#1055C2313yes—
140#88146—23no—
141C4⋊C4×D13—23no—
142#88141—23no—
143#88141—23no—
144#88135—26no—
145#88131—26no—
146C4×D52C2311yescharacteristic
147C4×D52C2313yes—
148#88126—23no—
149C42×D13—23no—
150C4×Dic26—23no—
151C4×Dic26—23no—
152C4×Dic26C2313yes—
153C4×Dic26C2316yes—
154C4×Dic26C2313yes—
155#88075C2313yes—
156#88075C2311yescharacteristic
157#88072C2316yes—
158#88072C2313yes—
159#88072C2313yes—
160#88050C2313yes—
161#88050C2313yes—
162#88050C2316yes—
163#88049C2311yescharacteristic
164#88049C2313yes—
165#88048C2313yes—
166#88048C2313yes—
167#88047C2316yes—
168#88047C2311yescharacteristic
169#88047C2313yes—
170#88043C2313yes—
171#88043C2313yes—
172#88043C2313yes—
173#88043C2311yescharacteristic
174C4×#1055C2316yes—
175#60174—131nomaximal, Sylow
176C24×C13—23no—
177C13×#41—28no—
178C13×#41—26no—
179C13×#41C22×C4112yes—
180C13×#41C22×C414yes—
181C13×#41#4114yes—
182C2×Q8×C13C2×D411yescharacteristic
183C2×Q8×C13C2411yescharacteristic
184C2×D4×C13—23no—
185C2×D4×C13—224no—
186C2×D4×C13—23no—
187C2×D4×C13—26no—
188C2×D4×C13C22×C4112yes—
189C2×D4×C13C2×D413yes—
190C2×D4×C13C2413yes—
191C22×C4×C13—23no—
192C22×C4×C13—23no—
193C22×C4×C13—23no—
194C22×C4×C13—23no—
195C22×C4×C13—26no—
196C22×C4×C13—86no—
197C22×C4×C13C2×D413yes—
198C22×C4×C13C2×D413yes—
199C22×C4×C13C2413yes—
200C2×C22⋊D13—23no—
201C22×Dic13—23no—
202C22×Dic13—23no—
203Q8×D13—28no—
204#6129—224no—
205#6127—26no—
206#6127C22×C4112yescomplemented
207C2×D52C2411yescharacteristic
208C2×C4×D13—23no—
209C2×C4×D13—21no—
210C2×C4×D13—23no—
211C2×Dic26—23no—
212C2×Dic26—26no—
213C2×Dic26C22×C4112yescomplemented
214C2×Dic26C2413yes—
215C13×C4⋊C4—23no—
216C13×C4⋊C4—23no—
217C13×C4⋊C4—21no—
218C13×C4⋊C4C2×D413yes—
219C13×C4⋊C4C2×D413yes—
220C13×C4⋊C4C2413yes—
221C13×C4⋊C4C2411yescharacteristic
222C13×C22⋊C4—23no—
223C13×C22⋊C4—23no—
224C13×C22⋊C4—23no—
225C13×C22⋊C4—26no—
226C13×C22⋊C4C2×D416yes—
227C42×C13—21no—
228C42×C13—23no—
229C42×C13—23no—
230C42×C13C2×D413yes—
231C42×C13C2×D413yes—
232C42×C13C2411yescharacteristic
233C42×C13C2413yes—
234C22⋊Dic13—23no—
235#6107C22×C4112yescomplemented
236#6106C22×C414yescomplemented
237#6105C22×C4124yescomplemented
238#6105C22×C4112yescomplemented
239#6104C22×C4112yescomplemented
240#6103—21no—
241#6103—23no—
242C4⋊Dic13—23no—
243C4⋊Dic13C2413yes—
244C4⋊Dic13C2411yescharacteristic
245#6101—23no—
246#6101—26no—
247#6101—23no—
248C4×Dic13—23no—
249C4×Dic13—26no—
250C4×Dic13—23no—
251C4×Dic13—23no—
252#6099—26no—
253#6099C22×C4112yescomplemented
254C2×#1055—26no—
255C2×#1055C22×C4112yescomplemented
256C2×#1055C2411yescharacteristic
257C2×#1055C2413yes—
258C2×#1055C2411yescharacteristic
259C2×#1055C2413yes—
260C2×#577—131no—
261C4×2−1+4—131no—
262C4×H(5,𝔽2)D1311yescharacteristic, complemented
263#2951—133no—
264#2949—133no—
265#2947—133no—
266#2946—133no—
267C4×#137—133no—
268C4×AGL(1,ℤ/8)—133no—
269#2943—133no—
270C2×#440—133no—
271#2913—131no—
272#2898—131no—
273#2897—131no—
274#2875—131no—
275C23×C13—23no—
276C23×C13—212no—
277C23×C13—83no—
278C23×C13—83no—
279C23×C13C22×D413yes—
280C22×D13—21no—
281Q8×C13—21no—
282Q8×C13C4×D414yes—
283Q8×C13C23×C412yes—
284D4×C13—212no—
285D4×C13—212no—
286D4×C13—23no—
287D4×C13C4×D4112yes—
288D4×C13C23×C416yes—
289C2×C4×C13—21no—
290C2×C4×C13—212no—
291C2×C4×C13—21no—
292C2×C4×C13—23no—
293C2×C4×C13—43no—
294C2×C4×C13—43no—
295C2×C4×C13—46no—
296C2×C4×C13—83no—
297C2×C4×C13—86no—
298C2×C4×C13—83no—
299C2×C4×C13C23×C416yes—
300C2×C4×C13C22×D411yescharacteristic
301C2×C4×C13C22×D413yes—
302C2×C4×C13C22×D413yes—
303C2×C4×C13C22×D411yescharacteristic
304C2×C4×C13C22×D413yes—
305C2×C4×C13C2×#4116yes—
306C2×C4×C13C2511yescharacteristic
307C22⋊D13—212no—
308C2×Dic13—212no—
309C2×Dic13—23no—
310C2×Dic13—21no—
311C2×Dic13—23no—
312C2×Dic13—83no—
313D52—21no—
314D52C23×C412yes—
315C4×D13—212no—
316C4×D13—42no—
317C4×D13—83no—
318Dic26—212no—
319Dic26—23no—
320Dic26C23×C416yes—
321#1055—21no—
322#1055—23no—
323#1055C23×C412yes—
324#1055C23×C416yes—
325C2×2−1+4—131no—
326C2×H(5,𝔽2)C2×D1311yescharacteristic
327#577—1316no—
328C2×#137—133no—
329C2×AGL(1,ℤ/8)—133no—
330C2×#135—133no—
331C22×SD16—133no—
332C2×#131—131no—
333C2×#131—131no—
334#520—21no—
335#520—131no—
336#520—133no—
337#520—263no—
338#520C2×D1313yes—
339#520C2×D1311yescharacteristic
340#519—133no—
341#519—261no—
342#518—23no—
343#518C2×D1313yes—
344C4×#41—21no—
345C4×#41—133no—
346C4×#41—263no—
347C4×#41C2×D1313yes—
348C4×#41C2×D1311yescharacteristic
349C2×C4×Q8—133no—
350C2×C4×Q8—261no—
351C2×C4×D4—23no—
352C2×C4×D4C2×D1313yes—
353#442—133no—
354#442—133no—
355#441—133no—
356#441—133no—
357#440—131no—
358#440—133no—
359#440—133no—
360#440—136no—
361#440—136no—
362#440—136no—
363#440—133no—
364C4×Q16—136no—
365C4×SD16—136no—
366C4×SD16—136no—
367C4×D8—136no—
368#428—133no—
369#428—133no—
370#427—133no—
371C2×#107—133no—
372#419—133no—
373#418—133no—
374#417—133no—
375#417—133no—
376#416—133no—
377#416—133no—
378C2×#103—133no—
379C2×#102—133no—
380#405—133no—
381#405—133no—
382C4×M16—133no—
383C2×#97—133no—
384C22×C13—23no—
385C22×C13—23no—
386C22×C13—26no—
387C22×C13—43no—
388C22×C13—43no—
389C22×C13—812no—
390C22×C13C2×C4×D416yes—
391C22×C13C23×D411yescharacteristic
392C2×D13—22no—
393C2×D13—41no—
394C2×D13—41no—
395C4×C13—23no—
396C4×C13—21no—
397C4×C13—21no—
398C4×C13—23no—
399C4×C13—22no—
400C4×C13—43no—
401C4×C13—41no—
402C4×C13C2×C4×D416yes—
403C4×C13C24×C411yescharacteristic
404C4×C13C22×#4111yescharacteristic
405Dic13—26no—
406Dic13—43no—
407Dic13—41no—
4082−1+4—138no—
4092−1+4—264no—
410H(5,𝔽2)—24no—
411H(5,𝔽2)C4×D1318yescomplemented
412C2×#41—21no—
413C2×#41—133no—
414C2×#41—263no—
415C2×#41C22×D1313yes—
416C2×#41C22×D1311yescharacteristic
417C22×Q8—133no—
418C22×Q8—261no—
419C22×D4—23no—
420C22×D4C22×D1313yes—
421C23×C4—23no—
422#137—1324no—
423AGL(1,ℤ/8)—1324no—
424#135—1324no—
425C2×Q16—133no—
426C2×SD16—131no—
427C2×SD16—1324no—
428C2×SD16—133no—
429C2×SD16—136no—
430C2×D8—133no—
431#131—138no—
432#131—264no—
433C2×M16—133no—
434C2×M16—133no—
435C22×C8—133no—
436C22×C8—133no—
437C4×Q8—21no—
438C4×Q8—133no—
439C4×Q8—136no—
440C4×Q8—133no—
441C4×Q8—261no—
442C4×Q8—263no—
443C4×Q8—263no—
444C4×Q8—263no—
445C4×Q8—263no—
446C4×Q8C22⋊D1311yescharacteristic
447C4×Q8C22⋊D1311yescharacteristic
448C4×Q8C22×D1311yescharacteristic
449C4×Q8C22×D1313yes—
450C4×D4—23no—
451C4×D4—23no—
452C4×D4—23no—
453C4×D4—23no—
454C4×D4—23no—
455C4×D4—26no—
456C4×D4—23no—
457C4×D4—23no—
458C4×D4—131no—
459C4×D4—133no—
460C4×D4—263no—
461C4×D4—263no—
462C4×D4—263no—
463C4×D4—266no—
464C4×D4C22⋊D1313yes—
465C4×D4C22⋊D1313yes—
466C4×D4C22×D1313yes—
467C4×D4C22×D1316yes—
468C4×D4C22×D1313yes—
469#117—23no—
470#117—23no—
471#117—133no—
472#117—263no—
473#117—266no—
474#117—263no—
475#117C22×D1313yes—
476#117C22×D1313yes—
477C2×C4⋊C4—23no—
478C2×C4⋊C4—133no—
479C2×C4⋊C4—263no—
480C2×C4⋊C4—263no—
481C2×C4⋊C4C22×D1313yes—
482C2×C22⋊C4—23no—
483C2×C22⋊C4—26no—
484C2×C42—23no—
485C2×C42—263no—
486C2×C42—263no—
487C2×C42C22×D1313yes—
488#107—133no—
489#107—136no—
490#107—131no—
491#106—133no—
492#106—133no—
493#103—131no—
494#103—133no—
495#103—133no—
496#103—136no—
497#103—133no—
498#102—133no—
499#102—136no—
500#102—133no—
501#102—131no—
502#102—133no—
503#97—131no—
504#97—133no—
505#97—133no—
506#97—133no—
507C4×C8—136no—
508C2×C13—26no—
509C2×C13—46no—
510C2×C13C22×C4×D411yescharacteristic
511C2×C13#358511yescharacteristic
512C2×C13#358611yescharacteristic
513D13—42no—
514C24—23no—
515#41—28no—
516#41—26no—
517#41—1312no—
518#41—2624no—
519#41—266no—
520#41C2×C4×D13112yes—
521#41C2×C4×D1314yes—
522#41#612714yes—
523C2×Q8—1312no—
524C2×Q8—133no—
525C2×Q8—268no—
526C2×Q8—266no—
527C2×Q8—263no—
528C2×Q8C2×C22⋊D1311yescharacteristic
529C2×Q8C23×D1311yescharacteristic
530C2×D4—23no—
531C2×D4—224no—
532C2×D4—26no—
533C2×D4—23no—
534C2×D4—131no—
535C2×D4—263no—
536C2×D4C2×C4×D13112yes—
537C2×D4C2×C22⋊D1313yes—
538C2×D4C23×D1313yes—
539C22×C4—23no—
540C22×C4—23no—
541C22×C4—23no—
542C22×C4—23no—
543C22×C4—26no—
544C22×C4—86no—
545C22×C4—263no—
546C22×C4—263no—
547C22×C4—263no—
548C22×C4—261no—
549C22×C4—263no—
550C22×C4C2×C22⋊D1313yes—
551C22×C4C2×C22⋊D1313yes—
552C22×C4C23×D1313yes—
553Q16—1312no—
554SD16—134no—
555SD16—1312no—
556SD16—1324no—
557D8—1312no—
558M16—1312no—
559M16—266no—
560C2×C8—1312no—
561C2×C8—133no—
562C2×C8—131no—
563C2×C8—133no—
564C2×C8—131no—
565C2×C8—266no—
566C4⋊C4—23no—
567C4⋊C4—23no—
568C4⋊C4—21no—
569C4⋊C4—131no—
570C4⋊C4—133no—
571C4⋊C4—263no—
572C4⋊C4—263no—
573C4⋊C4—266no—
574C4⋊C4—263no—
575C4⋊C4C2×C22⋊D1313yes—
576C4⋊C4C2×C22⋊D1313yes—
577C4⋊C4C23×D1311yescharacteristic
578C4⋊C4C23×D1313yes—
579C22⋊C4—23no—
580C22⋊C4—23no—
581C22⋊C4—26no—
582C22⋊C4—23no—
583C22⋊C4—263no—
584C22⋊C4—261no—
585C22⋊C4—263no—
586C22⋊C4C2×C22⋊D1316yes—
587C42—21no—
588C42—23no—
589C42—23no—
590C42—263no—
591C42—263no—
592C42—263no—
593C42—266no—
594C42C2×C22⋊D1313yes—
595C42C2×C22⋊D1313yes—
596C42C23×D1313yes—
597C42C23×D1311yescharacteristic
598C13#6017411yescharacteristic, complemented, Sylow
599C23—23no—
600C23—212no—
601C23—83no—
602C23—83no—
603C23—261no—
604C23C22×C22⋊D1313yes—
605Q8—21no—
606Q8—136no—
607Q8—2612no—
608Q8—263no—
609Q8C4×C22⋊D1314yes—
610Q8C22×C4×D1312yes—
611D4—212no—
612D4—212no—
613D4—23no—
614D4—132no—
615D4—2612no—
616D4—261no—
617D4C4×C22⋊D13112yes—
618D4C22×C4×D1316yes—
619C2×C4—21no—
620C2×C4—212no—
621C2×C4—21no—
622C2×C4—23no—
623C2×C4—43no—
624C2×C4—43no—
625C2×C4—46no—
626C2×C4—86no—
627C2×C4—83no—
628C2×C4—83no—
629C2×C4—2612no—
630C2×C4—263no—
631C2×C4—2612no—
632C2×C4—261no—
633C2×C4—263no—
634C2×C4—522no—
635C2×C4—1043no—
636C2×C4—1043no—
637C2×C4C22×C4×D1316yes—
638C2×C4C2×#612716yes—
639C2×C4C22×C22⋊D1313yes—
640C2×C4C22×C22⋊D1311yescharacteristic
641C2×C4C22×C22⋊D1311yescharacteristic
642C2×C4C22×C22⋊D1313yes—
643C2×C4C22×C22⋊D1313yes—
644C2×C4C24×D1311yescharacteristic
645C8—132no—
646C8—136no—
647C8—261no—
648C8—263no—
649C22—23no—
650C22—23no—
651C22—26no—
652C22—43no—
653C22—43no—
654C22—812no—
655C22—262no—
656C22—521no—
657C22—521no—
658C22C2×C4×C22⋊D1316yes—
659C22C23×C22⋊D1311yescharacteristic
660C4—22no—
661C4—21no—
662C4—23no—
663C4—21no—
664C4—23no—
665C4—43no—
666C4—41no—
667C4—266no—
668C4—523no—
669C4—521no—
670C4C2×C4×C22⋊D1316yes—
671C4C23×C4×D1311yescharacteristic
672C4C22×#612711yescharacteristic
673C2—26no—
674C2—46no—
675C2—522no—
676C2C22×C4×C22⋊D1311yescharacteristic
677C2#1312961611yescharacteristic
678C2#1312962211yescharacteristic
subgroupG/H
centerC22C23×C22⋊D13
commutatorC4×C13C24×C4
FrattiniC2×C4C24×D13
FittingC4×C13×H(5,𝔽2)C2
socleC22×C13C23×D4
prime radicalC2×#11719541C2
cosocleC2×C4×C13C25
hypercenterC4×H(5,𝔽2)D13
hypocenterC13#60174
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×#88257C2semidirect
3. #13123709C2semidirect
4. #13123693C2semidirect
5. #13123675C2semidirect
6. #13123668C2semidirect
7. C4×#88205C2semidirect
8. C4×#88186C2semidirect
9. #13123634C2semidirect
10. C2×#11718679C2semidirect
11. #13123434C2semidirect
12. #13123366C2semidirect
13. #13123362C2semidirect
14. #13123264C2semidirect
15. C4×C13×H(5,𝔽2)C2semidirect
28. #11719541C4semidirect
40. #11719228C22semidirect
41. #11719221C22semidirect
42. C4×#6127C22semidirect
43. C2×C4×Dic26C22semidirect
48. #11718691C22semidirect
49. #11718691C22semidirect
50. C4×#6107C22semidirect
51. #11718687C22semidirect
52. #11718687C22semidirect
53. #11718679C22semidirect
54. #11718679C22semidirect
55. #11718679C22semidirect
56. #11718679C22semidirect
57. #11718679C22semidirect
58. C4×#6105C22semidirect
59. C4×#6105C22semidirect
60. #11718675C22semidirect
61. #11718675C22semidirect
62. C4×#6104C22semidirect
63. #11718665C22semidirect
64. #11718663C22semidirect
65. #11718659C22semidirect
66. #11718658C22semidirect
67. #11718658C22semidirect
68. #11718656C22semidirect
69. C2×#88050C22semidirect
70. #11718627C22semidirect
71. #11718625C22semidirect
72. C2×#88047C22semidirect
73. C4×#6099C22semidirect
74. C2×#88043C22semidirect
76. C13×H(5,𝔽2)C2×C4semidirect
84. #88257C2×C4semidirect
117. #88205C2×C4semidirect
118. #88204C2×C4semidirect
120. #88202C2×C4semidirect
125. C2×#6105C2×C4semidirect
128. #88186C2×C4semidirect
206. #6127C22×C4semidirect
213. C2×Dic26C22×C4semidirect
235. #6107C22×C4semidirect
236. #6106C22×C4semidirect
237. #6105C22×C4semidirect
238. #6105C22×C4semidirect
239. #6104C22×C4semidirect
253. #6099C22×C4semidirect
255. C2×#1055C22×C4semidirect
262. C4×H(5,𝔽2)D13semidirect
411. H(5,𝔽2)C4×D13semidirect
598. C13#60174semidirect

Maximal subgroups

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

subgroupindex
C2×#117195412
C4×#882572
#131237092
#131236932
#131236752
#131236682
C4×#882052
C4×#881862
#131236342
C2×#117186792
#131234342
#131233662
#131233622
#131232642
C4×C13×H(5,𝔽2)2
#6017413