Finite Group Databasebeta

← #15880239

Subgroups — #15880239

Order 3328.

1150 conjugacy classes of subgroups.

The subgroup lattice has 744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11718662C211yesmaximal, characteristic
2C22⋊C4×D52C211yesmaximal, characteristic
3#13115532C211yesmaximal, characteristic, complemented
4#13115518C211yesmaximal, characteristic, complemented
5#13115463C211yesmaximal, characteristic, complemented
6#13115456C211yesmaximal, characteristic, complemented
7#13115096C211yesmaximal, characteristic, complemented
8#13115082C211yesmaximal, characteristic, complemented
9#13114931C211yesmaximal, characteristic, complemented
10#13114867C211yesmaximal, characteristic, complemented
11#13114766C211yesmaximal, characteristic
12#13114664C211yesmaximal, characteristic, complemented
13C4×#88049C211yesmaximal, characteristic, complemented
14#13114620C211yesmaximal, characteristic, complemented
15C13×#2346C211yesmaximal, characteristic, complemented
16C23×D52C2211yescharacteristic
17C2×C13×#117C2211yescharacteristic
18C22×#6099C2211yescharacteristic
19C2×C22⋊C4×D13—21no—
20C2×C4×D52C2211yescharacteristic
21C2×C4×D52C2211yescharacteristic
22C13×#389C2211yescharacteristic, complemented
23C13×#389C2211yescharacteristic, complemented
24C13×#388—21no—
25C13×#388—21no—
26C13×#382—21no—
27C13×#380C2211yescharacteristic
28C4×C13×C4⋊C4C2211yescharacteristic, complemented
29C4×C13×C4⋊C4C2211yescharacteristic, complemented
30C4×C13×C22⋊C4C2211yescharacteristic
31C13×#376—21no—
32#11718873C2211yescharacteristic
33C2×C22⋊#1055C2211yescharacteristic
34#11718662C418yescomplemented
35C2×#88049C2211yescharacteristic
36C2×#88049C2211yescharacteristic
37C2×#88049C2211yescharacteristic
38C2×#88049C2211yescharacteristic
39C2×#88049C2211yescharacteristic
40C2×#88049C2211yescharacteristic
41C2×#88049C2211yescharacteristic
42C2×#88049C2211yescharacteristic
43C2×#88048C2211yescharacteristic, complemented
44C2×#88047C2211yescharacteristic, complemented
45#11718616—21no—
46#11718600C2211yescharacteristic
47#11718600C2211yescharacteristic
48C2×#88043C2211yescharacteristic, complemented
49C2×C4×#1055C2211yescharacteristic, complemented
50#11718326—21no—
51#11718326—21no—
52#11718121C2211yescharacteristic, complemented
53#11718121C2211yescharacteristic, complemented
54#11718121C2211yescharacteristic, complemented
55#11718121C2211yescharacteristic, complemented
56#11718121C2211yescharacteristic, complemented
57#11718121C2211yescharacteristic, complemented
58#11718116C2211yescharacteristic, complemented
59#11718116C2211yescharacteristic, complemented
60C24×D13—21no—
61C23×C4×C13C2311yescharacteristic
62C22×D52—22no—
63C22×D52—22no—
64C22×D52—21no—
65C22×D52—22no—
66C22×D52—41no—
67C22×D52—41no—
68C22×D52C2×C414yes—
69C22×D52C2311yescharacteristic
70C22×D52C2311yescharacteristic
71C22×C4×D13—21no—
72C22×C4×D13—21no—
73C13×#117—22no—
74C13×#117C2×C414yescomplemented
75C2×C13×C4⋊C4—21no—
76C2×C13×C4⋊C4—21no—
77C2×C13×C4⋊C4C2311yescharacteristic
78C2×C13×C4⋊C4C2311yescharacteristic
79C2×C13×C4⋊C4C2311yescharacteristic
80C2×C13×C4⋊C4C2311yescharacteristic
81C2×C13×C22⋊C4—21no—
82C2×C13×C22⋊C4—21no—
83C2×C13×C22⋊C4D411yescharacteristic
84C2×C13×C22⋊C4D411yescharacteristic
85C2×C42×C13—21no—
86C2×C42×C13—21no—
87C2×C42×C13—21no—
88C2×C42×C13C2311yescharacteristic
89C2×C42×C13C2311yescharacteristic
90C2×C22⋊Dic13—21no—
91C2×#6103—21no—
92C2×#6103—21no—
93C2×#6103—21no—
94C2×#6103—21no—
95C2×#6103—21no—
96C2×#6103—21no—
97C2×C4⋊Dic13C2311yescharacteristic
98C2×C4⋊Dic13C2311yescharacteristic
99C2×#6099—41no—
100C2×#6099—41no—
101C2×#6099C2×C414yescomplemented
102C22×#1055C2311yescharacteristic
103C22×#1055C2311yescharacteristic
104C22×#1055C2311yescharacteristic
105C22×#1055C2311yescharacteristic
106C22⋊C4×D13—44no—
107C4×D52—22no—
108C4×D52—22no—
109C4×D52—41no—
110C4×D52—41no—
111C13×#95—21no—
112C13×#95—21no—
113C13×#95—21no—
114C13×#95—21no—
115C13×#95—21no—
116C13×#95D411yescharacteristic
117C13×#95D411yescharacteristic
118#88071—21no—
119C22⋊#1055—22no—
120#88049—22no—
121#88049—22no—
122#88049—41no—
123#88049—41no—
124#88049C2×C414yes—
125#88049C2×C414yes—
126#88049C2×C414yescomplemented
127#88049C2×C414yescomplemented
128#88048—41no—
129#88047—41no—
130#88043—41no—
131C4×#1055—41no—
132#22584—131nomaximal, Sylow
133C24×C13C2×D411yescharacteristic
134C23×D13—21no—
135C23×D13—21no—
136C23×D13—24no—
137C23×D13—42no—
138C23×D13—42no—
139C23×D13—42no—
140C23×D13—42no—
141C23×D13—81no—
142C23×D13—81no—
143C22×C4×C13—21no—
144C22×C4×C13—21no—
145C22×C4×C13—21no—
146C22×C4×C13—21no—
147C22×C4×C13—21no—
148C22×C4×C13—21no—
149C22×C4×C13—21no—
150C22×C4×C13—21no—
151C22×C4×C13C22×C412yes—
152C22×C4×C13C2×D411yescharacteristic
153C22×C4×C13C2×D411yescharacteristic
154C22×C4×C13C2×D411yescharacteristic
155C22×C4×C13C2×D411yescharacteristic
156C22×C4×C13C2×D411yescharacteristic
157C22×C4×C13#4112yes—
158C22×C4×C13C2411yescharacteristic
159C22×Dic13—21no—
160C22×Dic13—21no—
161C2×D52—21no—
162C2×D52—21no—
163C2×D52—21no—
164C2×D52—21no—
165C2×D52—21no—
166C2×D52—21no—
167C2×D52—21no—
168C2×D52—28no—
169C2×D52—24no—
170C2×D52—21no—
171C2×D52—44no—
172C2×D52—44no—
173C2×D52—44no—
174C2×D52—42no—
175C2×D52—42no—
176C2×D52C22×C412yes—
177C2×D52C22×C412yes—
178C2×D52#4112yes—
179C2×D52#4112yes—
180C2×C4×D13—42no—
181C2×C4×D13—42no—
182C2×C4×D13—42no—
183C2×C4×D13—42no—
184C2×C4×D13—81no—
185C2×C4×D13—81no—
186C13×C4⋊C4—21no—
187C13×C4⋊C4—21no—
188C13×C4⋊C4—21no—
189C13×C4⋊C4—21no—
190C13×C4⋊C4—21no—
191C13×C4⋊C4—21no—
192C13×C4⋊C4—81no—
193C13×C4⋊C4—81no—
194C13×C4⋊C4C22×C412yes—
195C13×C4⋊C4C22×C412yes—
196C13×C22⋊C4—24no—
197C13×C22⋊C4—22no—
198C13×C22⋊C4—41no—
199C13×C22⋊C4—81no—
200C42×C13—24no—
201C42×C13—21no—
202C42×C13—21no—
203C42×C13—21no—
204C42×C13—21no—
205C42×C13—42no—
206C42×C13—42no—
207C22⋊Dic13—42no—
208#6103—42no—
209#6103—42no—
210#6103—42no—
211#6103—42no—
212#6103—81no—
213#6103—81no—
214C4⋊Dic13—21no—
215C4⋊Dic13—21no—
216C4⋊Dic13—21no—
217C4⋊Dic13—21no—
218#6099—44no—
219C2×#1055—21no—
220C2×#1055—21no—
221C2×#1055—21no—
222C2×#1055—21no—
223C2×#1055—21no—
224C2×#1055—21no—
225C2×#1055—21no—
226C2×#1055—21no—
227C2×#1055—21no—
228C2×#1055—21no—
229C2×#1055C22×C412yes—
230C2×#1055C22×C412yes—
231C2×#418—131no—
232#2346D1311yescharacteristic, complemented
233D4×C22⋊C4—131no—
234#1936—131no—
235#1934—131no—
236#1926—131no—
237#1925—131no—
238#1864—131no—
239#1862—131no—
240#1825—131no—
241#1809—131no—
242#1786—131no—
243#1762—131no—
244C4×#102—131no—
245#1753—131no—
246C23×C13—21no—
247C23×C13—21no—
248C23×C13—21no—
249C23×C13—21no—
250C23×C13—21no—
251C23×C13—21no—
252C23×C13C4×D412yes—
253C23×C13C22×D411yescharacteristic
254C22×D13—22no—
255C22×D13—22no—
256C22×D13—22no—
257C22×D13—22no—
258C22×D13—48no—
259C22×D13—41no—
260C22×D13—41no—
261C22×D13—41no—
262C22×D13—41no—
263C22×D13—48no—
264C22×D13—41no—
265C22×D13—41no—
266C22×D13—41no—
267C22×D13—41no—
268C22×D13—41no—
269C22×D13—41no—
270C22×D13—84no—
271C22×D13—84no—
272C22×D13—84no—
273C22×D13—84no—
274C22×D13—84no—
275C2×C4×C13—21no—
276C2×C4×C13—21no—
277C2×C4×C13—21no—
278C2×C4×C13—21no—
279C2×C4×C13—22no—
280C2×C4×C13—22no—
281C2×C4×C13—22no—
282C2×C4×C13—22no—
283C2×C4×C13—22no—
284C2×C4×C13—22no—
285C2×C4×C13—21no—
286C2×C4×C13—21no—
287C2×C4×C13—21no—
288C2×C4×C13—21no—
289C2×C4×C13—21no—
290C2×C4×C13—21no—
291C2×C4×C13—21no—
292C2×C4×C13—21no—
293C2×C4×C13—21no—
294C2×C4×C13—41no—
295C2×C4×C13—41no—
296C2×C4×C13—41no—
297C2×C4×C13—41no—
298C2×C4×C13—41no—
299C2×C4×C13—41no—
300C2×C4×C13—41no—
301C2×C4×C13—41no—
302C2×C4×C13—41no—
303C2×C4×C13—41no—
304C2×C4×C13C4×D412yes—
305C2×C4×C13AGL(1,ℤ/8)12yes—
306C2×C4×C13C23×C411yescharacteristic
307C2×C4×C13C2×#4111yescharacteristic
308C2×C4×C13C2×#4111yescharacteristic
309C2×C4×C13C2×#4111yescharacteristic
310C2×C4×C13H(5,𝔽2)11yescharacteristic
311C2×C4×C13H(5,𝔽2)11yescharacteristic
312C2×Dic13—41no—
313C2×Dic13—41no—
314C2×Dic13—41no—
315C2×Dic13—41no—
316C2×Dic13—41no—
317C2×Dic13—41no—
318D52—22no—
319D52—22no—
320D52—22no—
321D52—22no—
322D52—22no—
323D52—48no—
324D52—41no—
325D52—41no—
326D52#11714yes—
327C4×D13—84no—
328C4×D13—84no—
329#1055—22no—
330#1055—22no—
331#1055—41no—
332#1055—41no—
333C23×D4—131no—
334C22×M16—131no—
335C2×C4×D4—131no—
336C2×C4×D4—131no—
337C2×#117C2×D1311yescharacteristic
338C22×C22⋊C4—261no—
339C2×#107—131no—
340C2×#106—131no—
341#418—138no—
342C2×#102—131no—
343C2×#102—131no—
344C2×#102—131no—
345C2×#102—131no—
346C2×#102—131no—
347C2×#102—131no—
348C2×#102—131no—
349C2×#102—131no—
350C2×C22⋊C8—131no—
351C2×#97—131no—
352C2×C4×C8—131no—
353#390—131no—
354#390—131no—
355#389C2×D1311yescharacteristic, complemented
356#389C2×D1311yescharacteristic, complemented
357#388—21no—
358#388—21no—
359#386—261no—
360#386—261no—
361#382—21no—
362#380—131no—
363#380C2×D1311yescharacteristic
364#379—261no—
365C4×C4⋊C4C2×D1311yescharacteristic, complemented
366C4×C4⋊C4C2×D1311yescharacteristic, complemented
367C4×C22⋊C4C2×D1311yescharacteristic
368#376—21no—
369#340—131no—
370#340—131no—
371#340—131no—
372#340—131no—
373#340—131no—
374#340—131no—
375#336—131no—
376#336—131no—
377C22×C13—22no—
378C22×C13—22no—
379C22×C13—22no—
380C22×C13—41no—
381C22×C13—41no—
382C22×C13—41no—
383C22×C13—41no—
384C22×C13C2×C4×D411yescharacteristic
385C22×C13#54611yescharacteristic
386C22×C13#54611yescharacteristic
387C22×C13C2×AGL(1,ℤ/8)11yescharacteristic
388C22×C13#57511yescharacteristic
389C22×C13#57611yescharacteristic
390C22×C13#57711yescharacteristic
391C2×D13—24no—
392C2×D13—42no—
393C2×D13—42no—
394C2×D13—42no—
395C2×D13—42no—
396C2×D13—42no—
397C2×D13—42no—
398C2×D13—42no—
399C2×D13—42no—
400C2×D13—42no—
401C2×D13—816no—
402C2×D13—81no—
403C2×D13—81no—
404C2×D13—81no—
405C2×D13—81no—
406C4×C13—22no—
407C4×C13—22no—
408C4×C13—42no—
409C4×C13—42no—
410C4×C13—41no—
411C4×C13—41no—
412C4×C13—41no—
413C4×C13—81no—
414C4×C13—81no—
415C4×C13C2×#11711yescharacteristic
416C4×C13#51811yescharacteristic
417C4×C13#55111yescharacteristic
418C4×C13#55111yescharacteristic
419Dic13—81no—
420Dic13—81no—
421C25—261no—
422C22×D4—134no—
423C22×D4—131no—
424C22×D4—131no—
425C22×D4—262no—
426C22×D4—262no—
427C22×D4—262no—
428C22×D4—261no—
429C22×D4—521no—
430C22×D4—521no—
431C23×C4—261no—
432C23×C4—261no—
433C23×C4C22×D1311yescharacteristic
434C2×M16—134no—
435C2×M16—521no—
436C2×M16—521no—
437C22×C8—131no—
438C22×C8—131no—
439C22×C8—131no—
440C22×C8—131no—
441C4×D4—262no—
442C4×D4—262no—
443C4×D4—521no—
444C4×D4—521no—
445#117—22no—
446#117C4×D1314yescomplemented
447C2×C4⋊C4—21no—
448C2×C4⋊C4—21no—
449C2×C4⋊C4—131no—
450C2×C4⋊C4—131no—
451C2×C4⋊C4C22×D1311yescharacteristic
452C2×C4⋊C4C22×D1311yescharacteristic
453C2×C4⋊C4C22×D1311yescharacteristic
454C2×C4⋊C4C22×D1311yescharacteristic
455C2×C22⋊C4—21no—
456C2×C22⋊C4—21no—
457C2×C22⋊C4—261no—
458C2×C22⋊C4—261no—
459C2×C22⋊C4—261no—
460C2×C22⋊C4—261no—
461C2×C22⋊C4—261no—
462C2×C22⋊C4—261no—
463C2×C22⋊C4—261no—
464C2×C22⋊C4—524no—
465C2×C22⋊C4C22⋊D1311yescharacteristic
466C2×C22⋊C4C22⋊D1311yescharacteristic
467C2×C42—21no—
468C2×C42—21no—
469C2×C42—21no—
470C2×C42C22×D1311yescharacteristic
471C2×C42C22×D1311yescharacteristic
472#107—521no—
473#106—521no—
474#102—134no—
475#102—134no—
476#102—134no—
477#102—134no—
478#102—262no—
479#102—262no—
480#102—521no—
481#102—521no—
482C22⋊C8—262no—
483#97—521no—
484C4×C8—521no—
485#95—21no—
486#95—21no—
487#95—21no—
488#95—21no—
489#95—21no—
490#95—261no—
491#95C22⋊D1311yescharacteristic
492#95C22⋊D1311yescharacteristic
493C2×C13—42no—
494C2×C13#234211yescharacteristic
495C2×C13C4×AGL(1,ℤ/8)11yescharacteristic
496C2×C13#294611yescharacteristic
497C2×C13#331011yescharacteristic
498C2×C13#331911yescharacteristic
499C2×C13#332311yescharacteristic
500C2×C13#332511yescharacteristic
501D13—44no—
502D13—82no—
503C24—261no—
504C24—261no—
505C24—264no—
506C24—522no—
507C24—522no—
508C24—522no—
509C24—522no—
510C24—1041no—
511C24—1041no—
512C24C2×C22⋊D1311yescharacteristic
513C2×D4—132no—
514C2×D4—132no—
515C2×D4—132no—
516C2×D4—132no—
517C2×D4—268no—
518C2×D4—264no—
519C2×D4—261no—
520C2×D4—261no—
521C2×D4—261no—
522C2×D4—261no—
523C2×D4—261no—
524C2×D4—261no—
525C2×D4—261no—
526C2×D4—261no—
527C2×D4—524no—
528C2×D4—524no—
529C2×D4—524no—
530C2×D4—522no—
531C2×D4—522no—
532C22×C4—21no—
533C22×C4—21no—
534C22×C4—21no—
535C22×C4—21no—
536C22×C4—21no—
537C22×C4—21no—
538C22×C4—21no—
539C22×C4—21no—
540C22×C4—261no—
541C22×C4—261no—
542C22×C4—522no—
543C22×C4—522no—
544C22×C4—522no—
545C22×C4—522no—
546C22×C4—1041no—
547C22×C4—1041no—
548C22×C4C2×C4×D1312yes—
549C22×C4#612712yes—
550C22×C4C2×C22⋊D1311yescharacteristic
551C22×C4C2×C22⋊D1311yescharacteristic
552C22×C4C2×C22⋊D1311yescharacteristic
553C22×C4C2×C22⋊D1311yescharacteristic
554C22×C4C2×C22⋊D1311yescharacteristic
555C22×C4C23×D1311yescharacteristic
556M16—524no—
557C2×C8—132no—
558C2×C8—132no—
559C2×C8—261no—
560C2×C8—261no—
561C2×C8—261no—
562C2×C8—261no—
563C2×C8—261no—
564C2×C8—261no—
565C2×C8—261no—
566C2×C8—261no—
567C2×C8—261no—
568C2×C8—261no—
569C4⋊C4—21no—
570C4⋊C4—21no—
571C4⋊C4—21no—
572C4⋊C4—21no—
573C4⋊C4—21no—
574C4⋊C4—21no—
575C4⋊C4—81no—
576C4⋊C4—81no—
577C4⋊C4—261no—
578C4⋊C4—261no—
579C4⋊C4—261no—
580C4⋊C4—261no—
581C4⋊C4C2×C4×D1312yes—
582C4⋊C4C2×C4×D1312yes—
583C22⋊C4—24no—
584C22⋊C4—22no—
585C22⋊C4—41no—
586C22⋊C4—81no—
587C22⋊C4—522no—
588C22⋊C4—522no—
589C22⋊C4—522no—
590C22⋊C4—522no—
591C22⋊C4—522no—
592C22⋊C4—1041no—
593C22⋊C4—1041no—
594C42—24no—
595C42—21no—
596C42—21no—
597C42—21no—
598C42—21no—
599C42—42no—
600C42—42no—
601C13#2258411yescharacteristic, complemented, Sylow
602C23—21no—
603C23—21no—
604C23—21no—
605C23—21no—
606C23—21no—
607C23—21no—
608C23—262no—
609C23—262no—
610C23—262no—
611C23—262no—
612C23—528no—
613C23—528no—
614C23—521no—
615C23—521no—
616C23—521no—
617C23—521no—
618C23—521no—
619C23—521no—
620C23—521no—
621C23—521no—
622C23—521no—
623C23—521no—
624C23—1044no—
625C23—1044no—
626C23—1044no—
627C23—1044no—
628C23—1044no—
629C23C4×C22⋊D1312yes—
630C23C22×C22⋊D1311yescharacteristic
631D4—134no—
632D4—262no—
633D4—262no—
634D4—262no—
635D4—262no—
636D4—262no—
637D4—528no—
638D4—521no—
639D4—521no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—22no—
650C2×C4—21no—
651C2×C4—21no—
652C2×C4—21no—
653C2×C4—21no—
654C2×C4—21no—
655C2×C4—21no—
656C2×C4—21no—
657C2×C4—21no—
658C2×C4—21no—
659C2×C4—41no—
660C2×C4—41no—
661C2×C4—41no—
662C2×C4—41no—
663C2×C4—41no—
664C2×C4—41no—
665C2×C4—41no—
666C2×C4—41no—
667C2×C4—41no—
668C2×C4—41no—
669C2×C4—521no—
670C2×C4—521no—
671C2×C4—521no—
672C2×C4—521no—
673C2×C4—521no—
674C2×C4—521no—
675C2×C4—1044no—
676C2×C4—1044no—
677C2×C4C4×C22⋊D1312yes—
678C2×C4#8820312yes—
679C2×C4C22×C4×D1311yescharacteristic
680C2×C4C2×#612711yescharacteristic
681C2×C4#41×D1311yescharacteristic
682C2×C4#41×D1311yescharacteristic
683C2×C4#8825611yescharacteristic
684C2×C4#8825611yescharacteristic
685C8—262no—
686C8—262no—
687C8—521no—
688C8—521no—
689C22—22no—
690C22—22no—
691C22—22no—
692C22—41no—
693C22—41no—
694C22—41no—
695C22—41no—
696C22—264no—
697C22—522no—
698C22—522no—
699C22—522no—
700C22—522no—
701C22—522no—
702C22—522no—
703C22—522no—
704C22—522no—
705C22—522no—
706C22—10416no—
707C22—1041no—
708C22—1041no—
709C22—1041no—
710C22—1041no—
711C22C2×C4×C22⋊D1311yescharacteristic
712C22C2×#8820311yescharacteristic
713C22#1171952711yescharacteristic
714C22#1171953411yescharacteristic
715C22#1171953411yescharacteristic
716C22#1171954011yescharacteristic
717C22#1171954211yescharacteristic
718C4—22no—
719C4—22no—
720C4—42no—
721C4—41no—
722C4—42no—
723C4—41no—
724C4—41no—
725C4—81no—
726C4—81no—
727C4—1041no—
728C4—1041no—
729C4D13×#11711yescharacteristic
730C4#1171922611yescharacteristic
731C4#1171923211yescharacteristic
732C4#1171923211yescharacteristic
733C2—42no—
734C2—524no—
735C2—1042no—
736C2#1311768611yescharacteristic
737C2C4×#8820311yescharacteristic
738C2#1312366411yescharacteristic
739C2#1312685111yescharacteristic
740C2#1312698611yescharacteristic
741C2#1312704611yescharacteristic
742C2#1312707211yescharacteristic
subgroupG/H
centerC23C22×C22⋊D13
commutatorC2×C4×C13C23×C4
FrattiniC22×C4C23×D13
FittingC13×#2346C2
socleC23×C13C22×D4
prime radicalC23×D52C22
cosocleC22×C4×C13C24
hypercenter#2346D13
hypocenterC13#22584
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C23 ◁ C4×C22⋊C4 ◁ #2346

Complements

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

NH ≅ G/Ntype
3. #13115532C2semidirect
4. #13115518C2semidirect
5. #13115463C2semidirect
6. #13115456C2semidirect
7. #13115096C2semidirect
8. #13115082C2semidirect
9. #13114931C2semidirect
10. #13114867C2semidirect
12. #13114664C2semidirect
13. C4×#88049C2semidirect
14. #13114620C2semidirect
15. C13×#2346C2semidirect
22. C13×#389C22semidirect
23. C13×#389C22semidirect
28. C4×C13×C4⋊C4C22semidirect
29. C4×C13×C4⋊C4C22semidirect
34. #11718662C4semidirect
43. C2×#88048C22semidirect
44. C2×#88047C22semidirect
48. C2×#88043C22semidirect
49. C2×C4×#1055C22semidirect
52. #11718121C22semidirect
53. #11718121C22semidirect
54. #11718121C22semidirect
55. #11718121C22semidirect
56. #11718121C22semidirect
57. #11718121C22semidirect
58. #11718116C22semidirect
59. #11718116C22semidirect
74. C13×#117C2×C4semidirect
101. C2×#6099C2×C4semidirect
126. #88049C2×C4semidirect
127. #88049C2×C4semidirect
232. #2346D13semidirect
355. #389C2×D13semidirect
356. #389C2×D13semidirect
365. C4×C4⋊C4C2×D13semidirect
366. C4×C4⋊C4C2×D13semidirect
446. #117C4×D13semidirect
601. C13#22584semidirect

Maximal subgroups

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

subgroupindex
C2×#117186622
C22⋊C4×D522
#131155322
#131155182
#131154632
#131154562
#131150962
#131150822
#131149312
#131148672
#131147662
#131146642
C4×#880492
#131146202
C13×#23462
#2258413