Finite Group Databasebeta

← #72242000

Subgroups — #72242000

Order 11232.

980 conjugacy classes of subgroups; only the 148 normal subgroups are shown.

normal subgroups only

This group has 980 conjugacy classes of subgroups — too many to draw. Only its 148 normal subgroups are shown.

Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#72241998C212yesmaximal, complemented
2C3×Dic3⋊AGL(1,𝔽13)C212yesmaximal, complemented
3C2×#72220635C211yesmaximal, characteristic
4C2×C3×C3⋊AGL(1,𝔽13)C2212yes—
5#624×D13⋊C3C211yesmaximal, characteristic
6#72241939C411yescharacteristic, complemented
7#72241936C412yescomplemented
8C13⋊C3×#624C411yescharacteristic, complemented
9C3×Dic3×D13⋊C3C2212yes—
10D3×C4⋊AGL(1,𝔽13)—32nomaximal
11#72241906C311yesmaximal, characteristic, complemented
12C2×C3⋊D3×AGL(1,𝔽13)C211yesmaximal, characteristic
13C2×C3⋊(C3⋊AGL(1,𝔽13))C2211yescharacteristic
14C2×C32×AGL(1,𝔽13)C2211yescharacteristic
15C2×C3⋊D3×D13⋊C3C2211yescharacteristic
16#72220635—22no—
17C3⋊D3×AGL(1,𝔽13)—22no—
18C2×(C3⋊#261)⋊D3C2×C311yescharacteristic
19C2×C3⋊D3×#261C2×C311yescharacteristic
20C2×D3×AGL(1,𝔽13)—32no—
21C2×D3×AGL(1,𝔽13)—32no—
22C2×D3×AGL(1,𝔽13)—61no—
23D13×#624C2×C311yescharacteristic
24Dic3⋊(C3⋊#261)C2×C312yescomplemented
25C3×Dic3⋊#261C2×C312yescomplemented
26C4×D3×D13⋊C3—32no—
27C4⋊(C3⋊AGL(1,𝔽13))—32no—
28C3×C4⋊AGL(1,𝔽13)—32no—
29Dic3⋊AGL(1,𝔽13)—22no—
30Dic3⋊AGL(1,𝔽13)—32no—
31Dic3⋊AGL(1,𝔽13)D312yescomplemented
32C2×C3⋊(C3⋊(D13⋊C3))C2×C411yescharacteristic
33C2×C3⋊D3×C13⋊C3C2×C411yescharacteristic
34C2×C32×D13⋊C3C2311yescharacteristic
35C3⋊D3×D13⋊C3D412yes—
36C3⋊D3×D13⋊C3Q812yes—
37C3⋊(C3⋊AGL(1,𝔽13))—21no—
38C3×C3⋊AGL(1,𝔽13)—22no—
39C32×AGL(1,𝔽13)—21no—
40C3×C3⋊(Dic13⋊C3)C2×C412yescomplemented
41C3×Dic3×C13⋊C3C2×C412yescomplemented
42D3×C4⋊#261—32no—
43C2×C4⋊AGL(1,𝔽13)—91no—
44C2×C3⋊D3×D13C22×C311yescharacteristic
45C2×C3⋊(C3⋊#261)C22×C311yescharacteristic
46C2×C3×C3⋊#261C22×C312yes—
47C2×C32×#261C22×C311yescharacteristic
48(C3⋊#261)⋊D3—22no—
49C3⋊D3×#261—22no—
50C2×D3×D13⋊C3—32no—
51C2×D3×D13⋊C3—61no—
52C2×C3⋊AGL(1,𝔽13)—22no—
53C2×C3⋊AGL(1,𝔽13)—32no—
54C2×C3⋊AGL(1,𝔽13)—61no—
55C2×C3⋊AGL(1,𝔽13)C2×D312yes—
56C2×C3×AGL(1,𝔽13)—22no—
57C2×C3×AGL(1,𝔽13)—21no—
58C2×C3×AGL(1,𝔽13)—32no—
59C2×C3×AGL(1,𝔽13)—41no—
60C2×C3×AGL(1,𝔽13)C2×D312yes—
61D3×AGL(1,𝔽13)—64no—
62D3×AGL(1,𝔽13)—62no—
63D3×AGL(1,𝔽13)—62no—
64D3×AGL(1,𝔽13)—64no—
65#11745537C3×C411yescharacteristic, complemented
66#11745531C3×C412yescomplemented
67C13×#624C3×C411yescharacteristic, complemented
68C3×Dic3×D13C22×C312yes—
69C4×C3⋊(D13⋊C3)—32no—
70C4×D3×C13⋊C3—32no—
71C3×C4×D13⋊C3—32no—
72#64601⋊C3—32no—
73D3×Dic13⋊C3—32no—
74Dic3×D13⋊C3—22no—
75Dic3×D13⋊C3C2×D312yes—
76C3×#63883—131nomaximal, Hall
77C2×C32×C13⋊C3C22×C411yescharacteristic
78C3⋊(C3⋊(D13⋊C3))C4⋊C412yescomplemented
79C3⋊D3×C13⋊C3C4⋊C412yescomplemented
80C32×D13⋊C3C2×D411yescharacteristic
81C32×D13⋊C3C2×Q811yescharacteristic
82C2×D3×#261—32no—
83C2×D3×#261—32no—
84C2×D3×#261—61no—
85C22×AGL(1,𝔽13)—91no—
86C22×AGL(1,𝔽13)—91no—
87C4×D3×D13—32no—
88C4⋊(C3⋊#261)—32no—
89C3×C4⋊#261—32no—
90C2×C4×D13⋊C3—91no—
91Dic3⋊#261—32no—
92Dic3⋊#261C3×D312yescomplemented
93C4⋊AGL(1,𝔽13)—32no—
94C4⋊AGL(1,𝔽13)—62no—
95C4⋊AGL(1,𝔽13)—92no—
96C2×C3⋊D39C2×C3×C411yescharacteristic
97C2×C13×C3⋊D3C2×C3×C411yescharacteristic
98C2×C32×D13C23×C311yescharacteristic
99C3⋊D3×D13C3×D412yes—
100C3⋊D3×D13C3×Q812yes—
101C3⋊(C3⋊#261)—21no—
102C3×C3⋊#261—22no—
103C32×#261—21no—
104C2×C3⋊(D13⋊C3)—32no—
105C2×C3⋊(D13⋊C3)—61no—
106C2×D3×C13⋊C3—32no—
107C2×D3×C13⋊C3—61no—
108C2×C3×D13⋊C3—22no—
109C2×C3×D13⋊C3—21no—
110C2×C3×D13⋊C3—41no—
111C2×C3×D13⋊C3C22×D312yes—
112D3×D13⋊C3—34no—
113D3×D13⋊C3—34no—
114D3×D13⋊C3—62no—
115D3×D13⋊C3—62no—
116C3⋊AGL(1,𝔽13)—22no—
117C3⋊AGL(1,𝔽13)—42no—
118C3⋊AGL(1,𝔽13)—61no—
119C3⋊AGL(1,𝔽13)—61no—
120C3⋊AGL(1,𝔽13)—62no—
121C3×AGL(1,𝔽13)—21no—
122C3×AGL(1,𝔽13)—21no—
123C3×AGL(1,𝔽13)—22no—
124C3×AGL(1,𝔽13)—42no—
125C3×AGL(1,𝔽13)—41no—
126C3×AGL(1,𝔽13)—41no—
127C3×AGL(1,𝔽13)—62no—
128C3×Dic39C2×C3×C412yescomplemented
129C3×Dic3×C13C2×C3×C412yescomplemented
130C3×C4×C13⋊C3—32no—
131C3⋊(Dic13⋊C3)—22no—
132C3⋊(Dic13⋊C3)C4×D312yescomplemented
133Dic3×C13⋊C3—22no—
134Dic3×C13⋊C3C4×D312yescomplemented
135C3×Dic13⋊C3—32no—
136C2×C3×C4×C3⋊D3—131no—
137C2×C3×#624—131no—
138C2×C3×#624—131no—
139C32×Dic3⋊C4—132no—
140C3×Dic3⋊Dic3—132no—
141C2×C4⋊#261—91noHall
142C32×C13⋊C3C2×C4⋊C411yescharacteristic, complemented, Hall
143C2×D3×D13—32no—
144C2×D3×D13—61no—
145C2×C3⋊#261—32no—
146C2×C3⋊#261—61no—
147C2×C3⋊#261C2×C3×D312yes—
148C2×C3×#261—21no—
149C2×C3×#261—32no—
150C2×C3×#261C2×C3×D312yes—
151C22×D13⋊C3—91no—
152D3×#261—64no—
153D3×#261—62no—
154D3×#261—62no—
155D3×#261—64no—
156C2×AGL(1,𝔽13)—22no—
157C2×AGL(1,𝔽13)—32no—
158C2×AGL(1,𝔽13)—41no—
159C2×AGL(1,𝔽13)—62no—
160C2×AGL(1,𝔽13)—91no—
161C2×AGL(1,𝔽13)—182no—
162C2×AGL(1,𝔽13)—182no—
163C2×AGL(1,𝔽13)D3211yescharacteristic
164C4×D39—32no—
165C4×D3×C13—32no—
166C3×C4×D13—32no—
167C2×C4×C13⋊C3—91no—
168#64601—32no—
169D3×Dic13—32no—
170Dic3×D13C2×C3×D312yes—
171C2×Dic13⋊C3—91no—
172C4×D13⋊C3—32no—
173C4×D13⋊C3—62no—
174C4×D13⋊C3—92no—
175C3×D3×C4⋊C4—392no—
176#63883—131no—
177C2×C32×C13C22×C3×C411yescharacteristic
178C3⋊D39C3×C4⋊C412yescomplemented
179C13×C3⋊D3C3×C4⋊C412yescomplemented
180C32×D13C2×C3×D411yescharacteristic
181C32×D13C2×C3×Q811yescharacteristic
182C2×C3×C13⋊C3—22no—
183C2×C3×C13⋊C3—21no—
184C2×C3×C13⋊C3—41no—
185C2×C3×C13⋊C3C2×C4×D312yes—
186C3⋊(D13⋊C3)—34no—
187C3⋊(D13⋊C3)—62no—
188D3×C13⋊C3—34no—
189D3×C13⋊C3—62no—
190C3×D13⋊C3—22no—
191C3×D13⋊C3—22no—
192C3×D13⋊C3—21no—
193C3×D13⋊C3—21no—
194C3×D13⋊C3—41no—
195C3×D13⋊C3—41no—
196C3×D13⋊C3D3×D412yes—
197C3×D13⋊C3D3×Q812yes—
198C22×C3×C3⋊D3—131no—
199C2×C33×C4—131no—
200C2×C3×C3⋊Dic3—131no—
201C3×C4×C3⋊D3—262no—
202C2×C32×Dic3—132no—
203C2×C32×Dic3—132no—
204C3×#624—131no—
205C3×#624—132no—
206C3×#624—262no—
207C3×#624—521no—
208C22×#261—91no—
209C22×#261—91no—
210C2×C4×D13—91no—
211C4⋊#261—32no—
212C4⋊#261—92no—
213C2×D39—32no—
214C2×D39—61no—
215C2×D3×C13—32no—
216C2×D3×C13—61no—
217C2×C3×D13—21no—
218C2×C3×D13C22×C3×D312yes—
219C22×C13⋊C3—91no—
220D3×D13—34no—
221D3×D13—34no—
222D3×D13—62no—
223D3×D13—62no—
224C3⋊#261—22no—
225C3⋊#261—61no—
226C3⋊#261—61no—
227C3⋊#261—62no—
228C3×#261—21no—
229C3×#261—21no—
230C3×#261—22no—
231C3×#261—62no—
232C2×D13⋊C3—22no—
233C2×D13⋊C3—41no—
234C2×D13⋊C3—91no—
235C2×D13⋊C3—92no—
236C2×D13⋊C3—92no—
237C2×D13⋊C3C2×D3211yescharacteristic
238AGL(1,𝔽13)—21no—
239AGL(1,𝔽13)—42no—
240AGL(1,𝔽13)—41no—
241AGL(1,𝔽13)—41no—
242AGL(1,𝔽13)—62no—
243AGL(1,𝔽13)—122no—
244AGL(1,𝔽13)—181no—
245C3×C4×C13—32no—
246Dic39C3×C4×D312yescomplemented
247C3×Dic13—32no—
248Dic3×C13C3×C4×D312yescomplemented
249C4×C13⋊C3—32no—
250C4×C13⋊C3—62no—
251Dic13⋊C3—32no—
252Dic13⋊C3—62no—
253C2×C4×C3⋊D3—131no—
254C2×C3×C4×D3—392no—
255C2×C3×C4×D3—392no—
256C2×C3×C4×D3—392no—
257C2×C3×C4×D3—781no—
258C2×#624—131no—
259C2×#624—131no—
260C32×C4⋊C4—392no—
261C3×C4⋊Dic3—392no—
262C3×Dic3⋊C4—132no—
263C3×Dic3⋊C4—132no—
264C3×Dic3⋊C4—262no—
265C3×Dic3⋊C4—392no—
266Dic3⋊Dic3—132no—
267C32×C13C2×C3×C4⋊C411yescharacteristic, complemented
268C3×C13⋊C3—22no—
269C3×C13⋊C3—21no—
270C3×C13⋊C3—41no—
271C3×C13⋊C3D3×C4⋊C412yescomplemented
272C22×C33—131no—
273C2×C3×C3⋊D3—131no—
274C2×C3×C3⋊D3—132no—
275C2×C3×C3⋊D3—132no—
276C2×C3×C3⋊D3—521no—
277C33×C4—261no—
278C3×C3⋊Dic3—261no—
279C32×Dic3—132no—
280C32×Dic3—262no—
281C32×Dic3—522no—
282C22×D13—91no—
283C2×#261—32no—
284C2×#261—91no—
285C2×#261—182no—
286C2×#261—182no—
287C2×#261C3×D3211yescharacteristic
288C2×C4×C13—91no—
289C2×Dic13—91no—
290C4×D13—32no—
291C4×D13—92no—
292C2×C3×C4⋊C4—1171no—
293D3×C4⋊C4—392no—
294C2×C3×C13—21no—
295C2×C3×C13C2×C3×C4×D312yes—
296D39—34no—
297D39—62no—
298C3×D13—21no—
299C3×D13—21no—
300C3×D13C3×D3×D412yes—
301C3×D13C3×D3×Q812yes—
302D3×C13—34no—
303D3×C13—62no—
304C2×C13⋊C3—22no—
305C2×C13⋊C3—41no—
306C2×C13⋊C3—92no—
307C2×C13⋊C3C4×D3211yescharacteristic
308D13⋊C3—22no—
309D13⋊C3—22no—
310D13⋊C3—41no—
311D13⋊C3—41no—
312D13⋊C3—92no—
313D13⋊C3#379711yescharacteristic
314D13⋊C3#381111yescharacteristic
315C22×C3⋊D3—131no—
316C22×C3×D3—392no—
317C22×C3×D3—781no—
318C2×C32×C4—132no—
319C2×C32×C4—131no—
320C2×C32×C4—261no—
321C2×C32×C4—262no—
322C2×C32×C4—392no—
323C2×C32×C4—392no—
324C2×C32×C4—521no—
325C2×C3⋊Dic3—131no—
326C4×C3⋊D3—262no—
327C2×C3×Dic3—132no—
328C2×C3×Dic3—132no—
329C2×C3×Dic3—132no—
330C2×C3×Dic3—132no—
331C2×C3×Dic3—262no—
332C2×C3×Dic3—262no—
333C2×C3×Dic3—392no—
334C2×C3×Dic3—781no—
335C3×C4×D3—392no—
336C3×C4×D3—392no—
337C3×C4×D3—392no—
338C3×C4×D3—784no—
339C3×C4×D3—784no—
340C3×C4×D3—782no—
341C3×C4×D3—782no—
342C3×C4×D3—1562no—
343#624—131no—
344#624—132no—
345#624—262no—
346#624AGL(1,𝔽13)11yescharacteristic, complemented
347C2×C33—131no—
348C2×C33—131no—
349C2×C33—521no—
350C3×C3⋊D3—132no—
351C3×C3⋊D3—522no—
352C22×C13—91no—
353C2×D13—91no—
354C2×D13—92no—
355C2×D13—92no—
356C2×D13C2×C3×D3211yescharacteristic
357#261—21no—
358#261—62no—
359#261—181no—
360C4×C13—32no—
361Dic13—32no—
362C22×C3×C4—1171no—
363C22×C3×C4—1171no—
364C22×C3×C4—1171no—
365C2×C4×D3—392no—
366C2×C4×D3—392no—
367C2×C4×D3—392no—
368C2×C4×D3—781no—
369C3×C4⋊C4—392no—
370C3×C4⋊C4—392no—
371C3×C4⋊C4—782no—
372C3×C4⋊C4—1172no—
373C4⋊Dic3—392no—
374Dic3⋊C4—132no—
375Dic3⋊C4—392no—
376C3×C13—21no—
377C3×C13C3×D3×C4⋊C412yescomplemented
378C13⋊C3—22no—
379C13⋊C3—41no—
380C13⋊C3#6388311yescharacteristic, complemented
381C22×C32—132no—
382C22×C32—131no—
383C22×C32—262no—
384C22×C32—261no—
385C22×C32—521no—
386C2×C3⋊D3—131no—
387C2×C3⋊D3—132no—
388C2×C3⋊D3—132no—
389C2×C3⋊D3C2×AGL(1,𝔽13)11yescharacteristic
390C2×C3×D3—392no—
391C2×C3×D3—394no—
392C2×C3×D3—394no—
393C2×C3×D3—3121no—
394C2×C3×D3—782no—
395C2×C3×D3—782no—
396C2×C3×D3—781no—
397C2×C3×D3—1562no—
398C32×C4—261no—
399C32×C4—262no—
400C32×C4—261no—
401C32×C4—261no—
402C32×C4—392no—
403C32×C4—522no—
404C32×C4—521no—
405C32×C4—521no—
406C32×C4—782no—
407C32×C4—1562no—
408C3⋊Dic3—261no—
409C3×Dic3—132no—
410C3×Dic3—132no—
411C3×Dic3—262no—
412C3×Dic3—262no—
413C3×Dic3—262no—
414C3×Dic3—522no—
415C3×Dic3—522no—
416C3×Dic3—782no—
417C3×Dic3—781no—
418C3×Dic3—781no—
419C3×Dic3—1042no—
420C3×Dic3C2×AGL(1,𝔽13)12yescomplemented
421C2×C4⋊C4—1171noSylow
422C33—521noSylow
423C2×C13—92no—
424C2×C13C3×C4×D3211yescharacteristic
425D13—92no—
426D13C3×#379711yescharacteristic
427D13C3×#381111yescharacteristic
428C23×C3—1171no—
429C22×D3—392no—
430C22×D3—781no—
431C2×C3×C4—131no—
432C2×C3×C4—132no—
433C2×C3×C4—261no—
434C2×C3×C4—262no—
435C2×C3×C4—392no—
436C2×C3×C4—392no—
437C2×C3×C4—392no—
438C2×C3×C4—392no—
439C2×C3×C4—521no—
440C2×C3×C4—782no—
441C2×C3×C4—782no—
442C2×C3×C4—1171no—
443C2×C3×C4—1172no—
444C2×C3×C4—1171no—
445C2×C3×C4—4681no—
446C2×C3×C4—2342no—
447C2×C3×C4—2342no—
448C2×Dic3—132no—
449C2×Dic3—132no—
450C2×Dic3—392no—
451C2×Dic3—781no—
452C4×D3—32no—
453C4×D3—392no—
454C4×D3—392no—
455C4×D3—392no—
456C4×D3—784no—
457C4×D3—784no—
458C4×D3—782no—
459C4×D3—782no—
460C2×C32—132no—
461C2×C32—132no—
462C2×C32—131no—
463C2×C32—131no—
464C2×C32—262no—
465C2×C32—261no—
466C2×C32—261no—
467C2×C32—262no—
468C2×C32—521no—
469C2×C32—521no—
470C2×C32—521no—
471C2×C32—522no—
472C2×C32—1041no—
473C2×C32—1042no—
474C2×C32C22×AGL(1,𝔽13)11yescharacteristic
475C3⋊D3—132no—
476C3⋊D3C4⋊AGL(1,𝔽13)12yescomplemented
477C3×D3—394no—
478C3×D3—3122no—
479C3×D3—782no—
480C3×D3—1564no—
481C22×C4—1171no—
482C22×C4—1171no—
483C22×C4—1171no—
484C4⋊C4—392no—
485C4⋊C4—1172no—
486C13C3×#6388311yescharacteristic, complemented, Sylow
487C22×C3—131no—
488C22×C3—132no—
489C22×C3—261no—
490C22×C3—262no—
491C22×C3—521no—
492C22×C3—1172no—
493C22×C3—1172no—
494C22×C3—1171no—
495C22×C3—4681no—
496C2×D3—32no—
497C2×D3—61no—
498C2×D3—394no—
499C2×D3—394no—
500C2×D3—392no—
501C2×D3—782no—
502C2×D3—782no—
503C2×D3—781no—
504C3×C4—32no—
505C3×C4—262no—
506C3×C4—261no—
507C3×C4—261no—
508C3×C4—261no—
509C3×C4—392no—
510C3×C4—392no—
511C3×C4—522no—
512C3×C4—521no—
513C3×C4—521no—
514C3×C4—3122no—
515C3×C4—782no—
516C3×C4—782no—
517C3×C4—782no—
518C3×C4—1562no—
519C3×C4—1562no—
520C3×C4—2341no—
521Dic3—132no—
522Dic3—262no—
523Dic3—782no—
524Dic3—781no—
525Dic3—781no—
526Dic3D3×AGL(1,𝔽13)12yescomplemented
527C32—521no—
528C32—522no—
529C32—1041no—
530C32—1042no—
531C32C2×C4⋊AGL(1,𝔽13)11yescharacteristic, complemented
532C23—1171no—
533C2×C4—91no—
534C2×C4—131no—
535C2×C4—392no—
536C2×C4—392no—
537C2×C4—1172no—
538C2×C4—1171no—
539C2×C4—1171no—
540C2×C4—2342no—
541C2×C4—2342no—
542C2×C3—21no—
543C2×C3—131no—
544C2×C3—131no—
545C2×C3—132no—
546C2×C3—132no—
547C2×C3—261no—
548C2×C3—261no—
549C2×C3—262no—
550C2×C3—262no—
551C2×C3—521no—
552C2×C3—521no—
553C2×C3—521no—
554C2×C3—1042no—
555C2×C3—1172no—
556C2×C3—2081no—
557C2×C3—4682no—
558C2×C3C2×D3×AGL(1,𝔽13)12yes—
559D3—34no—
560D3—62no—
561D3—394no—
562D3—782no—
563C22—91no—
564C22—131no—
565C22—1172no—
566C22—1172no—
567C22—1171no—
568C4—32no—
569C4—261no—
570C4—392no—
571C4—782no—
572C4—2341no—
573C3—21no—
574C3—521no—
575C3—1042no—
576C3—2081no—
577C3D3×C4⋊AGL(1,𝔽13)12yescomplemented
578C2—92no—
579C2—131no—
580C2—131no—
581C2—1172no—
582C2D32×AGL(1,𝔽13)11yescharacteristic
subgroupG/H
center, Frattini, hypercenterC2D32×AGL(1,𝔽13)
commutator, Fitting, socleC2×C32×C13C22×C3×C4
prime radicalC2×C3⋊D3×D13⋊C3C22
cosocleC2×C32×D13C23×C3
hypocenterC32×C13C2×C3×C4⋊C4
LCSG ▷ C2×C32×C13 ▷ C32×C13
UCSC1 ◁ C2

Complements

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

NH ≅ G/Ntype
1. #72241998C2semidirect
2. C3×Dic3⋊AGL(1,𝔽13)C2semidirect
6. #72241939C4semidirect
7. #72241936C4semidirect
8. C13⋊C3×#624C4semidirect
11. #72241906C3semidirect
24. Dic3⋊(C3⋊#261)C2×C3semidirect
25. C3×Dic3⋊#261C2×C3semidirect
31. Dic3⋊AGL(1,𝔽13)D3semidirect
40. C3×C3⋊(Dic13⋊C3)C2×C4semidirect
41. C3×Dic3×C13⋊C3C2×C4semidirect
65. #11745537C3×C4semidirect
66. #11745531C3×C4semidirect
67. C13×#624C3×C4semidirect
78. C3⋊(C3⋊(D13⋊C3))C4⋊C4semidirect
79. C3⋊D3×C13⋊C3C4⋊C4semidirect
92. Dic3⋊#261C3×D3semidirect
128. C3×Dic39C2×C3×C4semidirect
129. C3×Dic3×C13C2×C3×C4semidirect
132. C3⋊(Dic13⋊C3)C4×D3semidirect
134. Dic3×C13⋊C3C4×D3semidirect
142. C32×C13⋊C3C2×C4⋊C4semidirect
178. C3⋊D39C3×C4⋊C4semidirect
179. C13×C3⋊D3C3×C4⋊C4semidirect
246. Dic39C3×C4×D3semidirect
248. Dic3×C13C3×C4×D3semidirect
267. C32×C13C2×C3×C4⋊C4semidirect
271. C3×C13⋊C3D3×C4⋊C4semidirect
346. #624AGL(1,𝔽13)semidirect
377. C3×C13C3×D3×C4⋊C4semidirect
380. C13⋊C3#63883semidirect
420. C3×Dic3C2×AGL(1,𝔽13)semidirect
476. C3⋊D3C4⋊AGL(1,𝔽13)semidirect
486. C13C3×#63883semidirect
526. Dic3D3×AGL(1,𝔽13)semidirect
531. C32C2×C4⋊AGL(1,𝔽13)semidirect
577. C3D3×C4⋊AGL(1,𝔽13)semidirect

Maximal subgroups

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

subgroupindex
#722419982
C3×Dic3⋊AGL(1,𝔽13)2
C2×#722206352
#624×D13⋊C32
D3×C4⋊AGL(1,𝔽13)3
#722419063
C2×C3⋊D3×AGL(1,𝔽13)2
C3×#6388313