Finite Group Databasebeta

← C2×C13×#3532 #15749057

Subgroups — C2×C13×#3532 #15749057

Order 3328.

9542 conjugacy classes of subgroups.

The subgroup lattice has 592 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C13×#3532C2132yesmaximal, direct product factor
2C2×C13×H(3,𝔽4)C211yesmaximal, characteristic, complemented
3C2×C13×#560C213yesmaximal, complemented
4C2×C13×#551C213yesmaximal, complemented
5C2×C13×#546C216yesmaximal, complemented
6C2×D42×C13C213yesmaximal, complemented
7C2×C13×#538C216yesmaximal, complemented
8C2×C13×#535C213yesmaximal, complemented
9C2×C13×#534C213yesmaximal, complemented
10C22×C13×#120C213yesmaximal, complemented
11C26×C13C2211yescharacteristic, complemented
12C22×C13×#41C2213yescomplemented
13C23×D4×C13C2213yescomplemented
14C23×D4×C13C2216yescomplemented
15C23×D4×C13C2213yescomplemented
16C13×H(3,𝔽4)C22116yescomplemented
17C13×#560C22148yescomplemented
18C13×#551C22148yescomplemented
19C13×#546C22196yescomplemented
20D42×C13C22148yescomplemented
21C13×#538C22196yescomplemented
22C13×#535C22148yescomplemented
23C13×#534C22148yescomplemented
24C2×C13×#127C2213yescomplemented
25C2×C13×#127C2211yescharacteristic, complemented
26C2×C13×#126C2216yescomplemented
27C2×C13×#126C2212yescomplemented
28C2×C13×#124C2213yescomplemented
29C2×C13×#124C2216yescomplemented
30C2×C13×#124C2213yescomplemented
31C2×C13×#123C2213yescomplemented
32C2×C13×#123C2216yescomplemented
33C2×C13×#123C2213yescomplemented
34C2×C13×#123C2216yescomplemented
35C2×C13×C22⋊Q8C2216yescomplemented
36C2×C13×#121C2216yescomplemented
37C2×C13×#121C2216yescomplemented
38C2×C13×#121C2216yescomplemented
39C2×C13×#121C2216yescomplemented
40C2×C13×#121C2216yescomplemented
41C2×C13×#120C2213yes—
42C2×C13×#120C2213yescomplemented
43C2×C13×#120C2213yescomplemented
44C2×C13×#120C2216yescomplemented
45C2×C13×#120C2216yescomplemented
46C2×C13×#120C2213yescomplemented
47C2×C13×#120C2216yescomplemented
48C2×C13×#120C22148yescomplemented
49C2×C13×#120C2213yescomplemented
50C2×C13×#120C2211yescharacteristic, complemented
51C2×C4×D4×C13C2216yescomplemented
52C2×C4×D4×C13C2216yescomplemented
53C2×C13×#117C2213yescomplemented
54C22×C13×C22⋊C4C2213yescomplemented
55C22×C13×C22⋊C4C2216yescomplemented
56C22×C13×C22⋊C4C2213yescomplemented
57C25×C13—412no—
58C25×C13C2313yes—
59C25×C13C2313yes—
60C25×C13C2313yes—
61C25×C13C2311yescharacteristic
62C25×C13C2318yescomplemented
63C25×C13C2311yescharacteristic, complemented
64C2×C13×#41—412no—
65C2×C13×#41C23124yescomplemented
66C22×Q8×C13C2313yescomplemented
67C22×D4×C13—412no—
68C22×D4×C13—424no—
69C22×D4×C13—412no—
70C22×D4×C13C2316yes—
71C22×D4×C13C2316yes—
72C22×D4×C13C2313yes—
73C22×D4×C13C2313yes—
74C22×D4×C13C2316yes—
75C22×D4×C13C2313yes—
76C22×D4×C13C2316yes—
77C22×D4×C13C2313yes—
78C22×D4×C13C23124yescomplemented
79C22×D4×C13C23148yescomplemented
80C22×D4×C13C2313yescomplemented
81C22×D4×C13C2316yescomplemented
82C22×D4×C13C23124yescomplemented
83C23×C4×C13C2313yes—
84C23×C4×C13C2316yes—
85C23×C4×C13C2316yescomplemented
86C23×C4×C13C2313yescomplemented
87C13×#127C2318yescomplemented
88C13×#127C23124yescomplemented
89C13×#126C23116yescomplemented
90C13×#126C23148yescomplemented
91C13×#124C23124yescomplemented
92C13×#124C23124yescomplemented
93C13×#124C23148yescomplemented
94C13×#123C23124yescomplemented
95C13×#123C23124yescomplemented
96C13×#123C23148yescomplemented
97C13×#123C23148yescomplemented
98C13×C22⋊Q8C23148yescomplemented
99C13×#121C23148yescomplemented
100C13×#121C23148yescomplemented
101C13×#121C23148yescomplemented
102C13×#121C23148yescomplemented
103C13×#121C23148yescomplemented
104C13×#120C23124yes—
105C13×#120C23148yescomplemented
106C13×#120C23148yescomplemented
107C13×#120C23124yescomplemented
108C13×#120C23124yescomplemented
109C13×#120C23124yescomplemented
110C13×#120C23148yescomplemented
111C13×#120C2318yescomplemented
112C13×#120C23124yescomplemented
113C4×D4×C13C23148yescomplemented
114C4×D4×C13C23148yescomplemented
115C13×#117C23124yescomplemented
116C2×C13×C4⋊C4C2316yescomplemented
117C2×C13×C4⋊C4C2316yescomplemented
118C2×C13×C4⋊C4C2316yescomplemented
119C2×C13×C22⋊C4C2316yes—
120C2×C13×C22⋊C4C2316yes—
121C2×C13×C22⋊C4C2313yes—
122C2×C13×C22⋊C4C2316yes—
123C2×C13×C22⋊C4C2316yes—
124C2×C13×C22⋊C4C2316yes—
125C2×C13×C22⋊C4C2313yes—
126C2×C13×C22⋊C4C23124yescomplemented
127C2×C13×C22⋊C4C23148yescomplemented
128C2×C13×C22⋊C4C23124yescomplemented
129C2×C13×C22⋊C4C2313yescomplemented
130C2×C13×C22⋊C4C2313yescomplemented
131C2×C13×C22⋊C4C2316yescomplemented
132C2×C13×C22⋊C4C2316yescomplemented
133C2×C42×C13C2311yescharacteristic, complemented
134C2×C42×C13C2313yescomplemented
135C2×C42×C13C2312yescomplemented
136C2×#3532C1311yesmaximal, characteristic, direct product factor, Sylow
137C24×C13—224no—
138C24×C13—212no—
139C24×C13—212no—
140C24×C13—46no—
141C24×C13—412no—
142C24×C13—46no—
143C24×C13—448no—
144C24×C13—412no—
145C24×C13—46no—
146C24×C13—464no—
147C24×C13C2413yes—
148C24×C13C2411yescharacteristic
149C24×C13C2413yes—
150C24×C13C2413yes—
151C24×C13C24112yes—
152C24×C13C2413yes—
153C24×C13C24112yes—
154C24×C13C24112yes—
155C24×C13C2414yes—
156C24×C13C2414yescomplemented
157C13×#41—448no—
158C2×Q8×C13—46no—
159C2×Q8×C13C24112yescomplemented
160C2×D4×C13—224no—
161C2×D4×C13—224no—
162C2×D4×C13—46no—
163C2×D4×C13—46no—
164C2×D4×C13—46no—
165C2×D4×C13—46no—
166C2×D4×C13—412no—
167C2×D4×C13—412no—
168C2×D4×C13—448no—
169C2×D4×C13—412no—
170C2×D4×C13—46no—
171C2×D4×C13—496no—
172C2×D4×C13—448no—
173C2×D4×C13C24124yes—
174C2×D4×C13C24124yes—
175C2×D4×C13C24112yes—
176C2×D4×C13C24112yes—
177C2×D4×C13C24124yes—
178C2×D4×C13C24112yes—
179C2×D4×C13C24124yes—
180C2×D4×C13C24112yes—
181C2×D4×C13C24112yescomplemented
182C2×D4×C13C24124yescomplemented
183C22×C4×C13—212no—
184C22×C4×C13—412no—
185C22×C4×C13—46no—
186C22×C4×C13—412no—
187C22×C4×C13C24112yes—
188C22×C4×C13C2413yes—
189C22×C4×C13C2416yes—
190C22×C4×C13C2416yes—
191C22×C4×C13C2413yes—
192C22×C4×C13C24124yes—
193C22×C4×C13C24124yescomplemented
194C22×C4×C13C24112yescomplemented
195C13×C4⋊C4C24124yescomplemented
196C13×C4⋊C4C24124yescomplemented
197C13×C4⋊C4C24124yescomplemented
198C13×C22⋊C4C24124yes—
199C13×C22⋊C4C24124yes—
200C13×C22⋊C4C24112yes—
201C13×C22⋊C4C24124yes—
202C13×C22⋊C4C24124yes—
203C13×C22⋊C4C24124yes—
204C13×C22⋊C4C24112yes—
205C13×C22⋊C4C24112yescomplemented
206C13×C22⋊C4C24112yescomplemented
207C13×C22⋊C4C24124yescomplemented
208C13×C22⋊C4C24124yescomplemented
209C42×C13C2414yescomplemented
210C42×C13C24112yescomplemented
211C42×C13C2418yescomplemented
212#3532C2×C13132yesdirect product factor
213C2×H(3,𝔽4)C2×C1311yescharacteristic, complemented
214C2×#560C2×C1313yescomplemented
215C2×#551C2×C1313yescomplemented
216C2×#546C2×C1316yescomplemented
217C2×D42C2×C1313yescomplemented
218C2×#538C2×C1316yescomplemented
219C2×#535C2×C1313yescomplemented
220C2×#534C2×C1313yescomplemented
221C22×#120C2×C1313yescomplemented
222C23×C13—212no—
223C23×C13—212no—
224C23×C13—26no—
225C23×C13—212no—
226C23×C13—26no—
227C23×C13—248no—
228C23×C13—224no—
229C23×C13—26no—
230C23×C13—212no—
231C23×C13—26no—
232C23×C13—224no—
233C23×C13—412no—
234C23×C13—424no—
235C23×C13—412no—
236C23×C13—424no—
237C23×C13—412no—
238C23×C13—448no—
239C23×C13—448no—
240C23×C13—4128no—
241C23×C13—416no—
242C23×C13—824no—
243C23×C13—88no—
244C23×C13H(5,𝔽2)112yes—
245C23×C13C2516yes—
246C23×C13C2512yes—
247C23×C13C2516yes—
248C23×C13C2516yes—
249C23×C13C2516yes—
250C23×C13C2511yescharacteristic
251Q8×C13—412no—
252D4×C13—248no—
253D4×C13—248no—
254D4×C13—412no—
255D4×C13—412no—
256D4×C13—412no—
257D4×C13—412no—
258D4×C13—424no—
259D4×C13—424no—
260D4×C13—424no—
261D4×C13—412no—
262C2×C4×C13—26no—
263C2×C4×C13—26no—
264C2×C4×C13—224no—
265C2×C4×C13—212no—
266C2×C4×C13—212no—
267C2×C4×C13—424no—
268C2×C4×C13—412no—
269C2×C4×C13—424no—
270C2×C4×C13C2516yes—
271C2×C4×C13C25112yes—
272C2×C4×C13C25112yes—
273C2×C4×C13C2516yes—
274C26C22×C1311yescharacteristic, complemented
275C22×#41C22×C1313yescomplemented
276C23×D4C22×C1313yescomplemented
277C23×D4C22×C1316yescomplemented
278C23×D4C22×C1313yescomplemented
279H(3,𝔽4)C22×C13116yescomplemented
280#560C22×C13148yescomplemented
281#551C22×C13148yescomplemented
282#546C22×C13196yescomplemented
283D42C22×C13148yescomplemented
284#538C22×C13196yescomplemented
285#535C22×C13148yescomplemented
286#534C22×C13148yescomplemented
287C2×#127C22×C1311yescharacteristic, complemented
288C2×#127C22×C1313yescomplemented
289C2×#126C22×C1312yescomplemented
290C2×#126C22×C1316yescomplemented
291C2×#124C22×C1313yescomplemented
292C2×#124C22×C1313yescomplemented
293C2×#124C22×C1316yescomplemented
294C2×#123C22×C1313yescomplemented
295C2×#123C22×C1313yescomplemented
296C2×#123C22×C1316yescomplemented
297C2×#123C22×C1316yescomplemented
298C2×C22⋊Q8C22×C1316yescomplemented
299C2×#121C22×C1316yescomplemented
300C2×#121C22×C1316yescomplemented
301C2×#121C22×C1316yescomplemented
302C2×#121C22×C1316yescomplemented
303C2×#121C22×C1316yescomplemented
304C2×#120C22×C1313yes—
305C2×#120C22×C1316yescomplemented
306C2×#120C22×C1316yescomplemented
307C2×#120C22×C1313yescomplemented
308C2×#120C22×C1313yescomplemented
309C2×#120C22×C1313yescomplemented
310C2×#120C22×C1316yescomplemented
311C2×#120C22×C13148yescomplemented
312C2×#120C22×C1311yescharacteristic, complemented
313C2×#120C22×C1313yescomplemented
314C2×C4×D4C22×C1316yescomplemented
315C2×C4×D4C22×C1316yescomplemented
316C2×#117C22×C1313yescomplemented
317C22×C22⋊C4C22×C1313yescomplemented
318C22×C22⋊C4C22×C1316yescomplemented
319C22×C22⋊C4C22×C1313yescomplemented
320C22×C13—212no—
321C22×C13—224no—
322C22×C13—212no—
323C22×C13—26no—
324C22×C13—212no—
325C22×C13—26no—
326C22×C13—26no—
327C22×C13—212no—
328C22×C13—26no—
329C22×C13—448no—
330C22×C13—448no—
331C22×C13—416no—
332C22×C13—412no—
333C22×C13—44no—
334C22×C13—412no—
335C22×C13—412no—
336C22×C13—824no—
337C22×C13—88no—
338C22×C13C2×H(5,𝔽2)112yes—
339C22×C13C2×H(5,𝔽2)16yes—
340C22×C13C2611yescharacteristic
341C4×C13—26no—
342C4×C13—26no—
343C4×C13—212no—
344C4×C13—212no—
345C25—412no—
346C25C23×C1313yes—
347C25C23×C1313yes—
348C25C23×C1313yes—
349C25C23×C1311yescharacteristic
350C25C23×C1318yescomplemented
351C25C23×C1311yescharacteristic, complemented
352C2×#41—412no—
353C2×#41C23×C13124yescomplemented
354C22×Q8C23×C1313yescomplemented
355C22×D4—412no—
356C22×D4—424no—
357C22×D4—412no—
358C22×D4C23×C1316yes—
359C22×D4C23×C1316yes—
360C22×D4C23×C1313yes—
361C22×D4C23×C1313yes—
362C22×D4C23×C1316yes—
363C22×D4C23×C1313yes—
364C22×D4C23×C1316yes—
365C22×D4C23×C1313yes—
366C22×D4C23×C13124yescomplemented
367C22×D4C23×C13148yescomplemented
368C22×D4C23×C1313yescomplemented
369C22×D4C23×C1316yescomplemented
370C22×D4C23×C13124yescomplemented
371C23×C4C23×C1313yes—
372C23×C4C23×C1316yes—
373C23×C4C23×C1316yescomplemented
374C23×C4C23×C1313yescomplemented
375#127C23×C1318yescomplemented
376#127C23×C13124yescomplemented
377#126C23×C13116yescomplemented
378#126C23×C13148yescomplemented
379#124C23×C13124yescomplemented
380#124C23×C13124yescomplemented
381#124C23×C13148yescomplemented
382#123C23×C13124yescomplemented
383#123C23×C13124yescomplemented
384#123C23×C13148yescomplemented
385#123C23×C13148yescomplemented
386C22⋊Q8C23×C13148yescomplemented
387#121C23×C13148yescomplemented
388#121C23×C13148yescomplemented
389#121C23×C13148yescomplemented
390#121C23×C13148yescomplemented
391#121C23×C13148yescomplemented
392#120C23×C13124yes—
393#120C23×C13148yescomplemented
394#120C23×C13148yescomplemented
395#120C23×C13124yescomplemented
396#120C23×C13124yescomplemented
397#120C23×C13124yescomplemented
398#120C23×C13148yescomplemented
399#120C23×C1318yescomplemented
400#120C23×C13124yescomplemented
401C4×D4C23×C13148yescomplemented
402C4×D4C23×C13148yescomplemented
403#117C23×C13124yescomplemented
404C2×C4⋊C4C23×C1316yescomplemented
405C2×C4⋊C4C23×C1316yescomplemented
406C2×C4⋊C4C23×C1316yescomplemented
407C2×C22⋊C4C23×C1316yes—
408C2×C22⋊C4C23×C1316yes—
409C2×C22⋊C4C23×C1313yes—
410C2×C22⋊C4C23×C1316yes—
411C2×C22⋊C4C23×C1316yes—
412C2×C22⋊C4C23×C1316yes—
413C2×C22⋊C4C23×C1313yes—
414C2×C22⋊C4C23×C13124yescomplemented
415C2×C22⋊C4C23×C13148yescomplemented
416C2×C22⋊C4C23×C13124yescomplemented
417C2×C22⋊C4C23×C1313yescomplemented
418C2×C22⋊C4C23×C1313yescomplemented
419C2×C22⋊C4C23×C1316yescomplemented
420C2×C22⋊C4C23×C1316yescomplemented
421C2×C42C23×C1311yescharacteristic, complemented
422C2×C42C23×C1313yescomplemented
423C2×C42C23×C1312yescomplemented
424C2×C13—212no—
425C2×C13—46no—
426C2×C13—42no—
427C2×C13—46no—
428C2×C13—46no—
429C2×C13#353214yesdirect product factor
430C2×C13C22×H(5,𝔽2)13yes—
431C24—224no—
432C24—212no—
433C24—212no—
434C24—46no—
435C24—412no—
436C24—46no—
437C24—448no—
438C24—412no—
439C24—46no—
440C24—464no—
441C24C24×C1313yes—
442C24C24×C1311yescharacteristic
443C24C24×C1313yes—
444C24C24×C1313yes—
445C24C24×C13112yes—
446C24C24×C1313yes—
447C24C24×C13112yes—
448C24C24×C13112yes—
449C24C24×C1314yes—
450C24C24×C1314yescomplemented
451#41—448no—
452C2×Q8—46no—
453C2×Q8C24×C13112yescomplemented
454C2×D4—224no—
455C2×D4—224no—
456C2×D4—46no—
457C2×D4—46no—
458C2×D4—46no—
459C2×D4—46no—
460C2×D4—412no—
461C2×D4—412no—
462C2×D4—448no—
463C2×D4—412no—
464C2×D4—46no—
465C2×D4—496no—
466C2×D4—448no—
467C2×D4C24×C13124yes—
468C2×D4C24×C13124yes—
469C2×D4C24×C13112yes—
470C2×D4C24×C13112yes—
471C2×D4C24×C13124yes—
472C2×D4C24×C13112yes—
473C2×D4C24×C13124yes—
474C2×D4C24×C13112yes—
475C2×D4C24×C13112yescomplemented
476C2×D4C24×C13124yescomplemented
477C22×C4—212no—
478C22×C4—412no—
479C22×C4—46no—
480C22×C4—412no—
481C22×C4C24×C1313yes—
482C22×C4C24×C1316yes—
483C22×C4C24×C1316yes—
484C22×C4C24×C1313yes—
485C22×C4C24×C13112yes—
486C22×C4C24×C13124yes—
487C22×C4C24×C13124yescomplemented
488C22×C4C24×C13112yescomplemented
489C4⋊C4C24×C13124yescomplemented
490C4⋊C4C24×C13124yescomplemented
491C4⋊C4C24×C13124yescomplemented
492C22⋊C4C24×C13124yes—
493C22⋊C4C24×C13124yes—
494C22⋊C4C24×C13112yes—
495C22⋊C4C24×C13124yes—
496C22⋊C4C24×C13124yes—
497C22⋊C4C24×C13124yes—
498C22⋊C4C24×C13112yes—
499C22⋊C4C24×C13112yescomplemented
500C22⋊C4C24×C13112yescomplemented
501C22⋊C4C24×C13124yescomplemented
502C22⋊C4C24×C13124yescomplemented
503C42C24×C1314yescomplemented
504C42C24×C13112yescomplemented
505C42C24×C1318yescomplemented
506C13C2×#353211yescharacteristic, direct product factor, Sylow
507C23—212no—
508C23—212no—
509C23—26no—
510C23—212no—
511C23—26no—
512C23—248no—
513C23—224no—
514C23—26no—
515C23—212no—
516C23—26no—
517C23—224no—
518C23—412no—
519C23—424no—
520C23—412no—
521C23—424no—
522C23—412no—
523C23—448no—
524C23—448no—
525C23—4128no—
526C23—416no—
527C23—824no—
528C23—88no—
529C23C13×H(5,𝔽2)112yes—
530C23C25×C1316yes—
531C23C25×C1312yes—
532C23C25×C1316yes—
533C23C25×C1316yes—
534C23C25×C1316yes—
535C23C25×C1311yescharacteristic
536Q8—412no—
537D4—248no—
538D4—248no—
539D4—412no—
540D4—412no—
541D4—412no—
542D4—412no—
543D4—424no—
544D4—424no—
545D4—424no—
546D4—412no—
547C2×C4—26no—
548C2×C4—26no—
549C2×C4—224no—
550C2×C4—212no—
551C2×C4—212no—
552C2×C4—424no—
553C2×C4—412no—
554C2×C4—424no—
555C2×C4C25×C1316yes—
556C2×C4C25×C13112yes—
557C2×C4C25×C13112yes—
558C2×C4C25×C1316yes—
559C22—224no—
560C22—212no—
561C22—212no—
562C22—26no—
563C22—212no—
564C22—26no—
565C22—26no—
566C22—212no—
567C22—26no—
568C22—448no—
569C22—448no—
570C22—416no—
571C22—412no—
572C22—44no—
573C22—412no—
574C22—412no—
575C22—824no—
576C22—88no—
577C22C2×C13×H(5,𝔽2)112yes—
578C22C2×C13×H(5,𝔽2)16yes—
579C22C26×C1311yescharacteristic
580C4—26no—
581C4—26no—
582C4—212no—
583C4—212no—
584C2—212no—
585C2—46no—
586C2—42no—
587C2—46no—
588C2—46no—
589C2C13×#353214yesdirect product factor
590C2C22×C13×H(5,𝔽2)13yes—
subgroupG/H
center, socleC23×C13C25
commutator, Frattini, cosocleC22C26×C13
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C23×C13 ◁ G

Complements

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

NH ≅ G/Ntype
1. C13×#3532C2direct (N × H)
2. C2×C13×H(3,𝔽4)C2semidirect
3. C2×C13×#560C2semidirect
4. C2×C13×#551C2semidirect
5. C2×C13×#546C2semidirect
6. C2×D42×C13C2semidirect
7. C2×C13×#538C2semidirect
8. C2×C13×#535C2semidirect
9. C2×C13×#534C2semidirect
10. C22×C13×#120C2semidirect
11. C26×C13C22semidirect
12. C22×C13×#41C22semidirect
13. C23×D4×C13C22semidirect
14. C23×D4×C13C22semidirect
15. C23×D4×C13C22semidirect
16. C13×H(3,𝔽4)C22semidirect
17. C13×#560C22semidirect
18. C13×#551C22semidirect
19. C13×#546C22semidirect
20. D42×C13C22semidirect
21. C13×#538C22semidirect
22. C13×#535C22semidirect
23. C13×#534C22semidirect
24. C2×C13×#127C22semidirect
25. C2×C13×#127C22semidirect
26. C2×C13×#126C22semidirect
27. C2×C13×#126C22semidirect
28. C2×C13×#124C22semidirect
29. C2×C13×#124C22semidirect
30. C2×C13×#124C22semidirect
31. C2×C13×#123C22semidirect
32. C2×C13×#123C22semidirect
33. C2×C13×#123C22semidirect
34. C2×C13×#123C22semidirect
35. C2×C13×C22⋊Q8C22semidirect
36. C2×C13×#121C22semidirect
37. C2×C13×#121C22semidirect
38. C2×C13×#121C22semidirect
39. C2×C13×#121C22semidirect
40. C2×C13×#121C22semidirect
42. C2×C13×#120C22semidirect
43. C2×C13×#120C22semidirect
44. C2×C13×#120C22semidirect
45. C2×C13×#120C22semidirect
46. C2×C13×#120C22semidirect
47. C2×C13×#120C22semidirect
48. C2×C13×#120C22semidirect
49. C2×C13×#120C22semidirect
50. C2×C13×#120C22semidirect
51. C2×C4×D4×C13C22semidirect
52. C2×C4×D4×C13C22semidirect
53. C2×C13×#117C22semidirect
54. C22×C13×C22⋊C4C22semidirect
55. C22×C13×C22⋊C4C22semidirect
56. C22×C13×C22⋊C4C22semidirect
62. C25×C13C23semidirect
63. C25×C13C23semidirect
65. C2×C13×#41C23semidirect
66. C22×Q8×C13C23semidirect
78. C22×D4×C13C23semidirect
79. C22×D4×C13C23semidirect
80. C22×D4×C13C23semidirect
81. C22×D4×C13C23semidirect
82. C22×D4×C13C23semidirect
85. C23×C4×C13C23semidirect
86. C23×C4×C13C23semidirect
87. C13×#127C23semidirect
88. C13×#127C23semidirect
89. C13×#126C23semidirect
90. C13×#126C23semidirect
91. C13×#124C23semidirect
92. C13×#124C23semidirect
93. C13×#124C23semidirect
94. C13×#123C23semidirect
95. C13×#123C23semidirect
96. C13×#123C23semidirect
97. C13×#123C23semidirect
98. C13×C22⋊Q8C23semidirect
99. C13×#121C23semidirect
100. C13×#121C23semidirect
101. C13×#121C23semidirect
102. C13×#121C23semidirect
103. C13×#121C23semidirect
105. C13×#120C23semidirect
106. C13×#120C23semidirect
107. C13×#120C23semidirect
108. C13×#120C23semidirect
109. C13×#120C23semidirect
110. C13×#120C23semidirect
111. C13×#120C23semidirect
112. C13×#120C23semidirect
113. C4×D4×C13C23semidirect
114. C4×D4×C13C23semidirect
115. C13×#117C23semidirect
116. C2×C13×C4⋊C4C23semidirect
117. C2×C13×C4⋊C4C23semidirect
118. C2×C13×C4⋊C4C23semidirect
126. C2×C13×C22⋊C4C23semidirect
127. C2×C13×C22⋊C4C23semidirect
128. C2×C13×C22⋊C4C23semidirect
129. C2×C13×C22⋊C4C23semidirect
130. C2×C13×C22⋊C4C23semidirect
131. C2×C13×C22⋊C4C23semidirect
132. C2×C13×C22⋊C4C23semidirect
133. C2×C42×C13C23semidirect
134. C2×C42×C13C23semidirect
135. C2×C42×C13C23semidirect
136. C2×#3532C13direct (N × H)
156. C24×C13C24semidirect
159. C2×Q8×C13C24semidirect
181. C2×D4×C13C24semidirect
182. C2×D4×C13C24semidirect
193. C22×C4×C13C24semidirect
194. C22×C4×C13C24semidirect
195. C13×C4⋊C4C24semidirect
196. C13×C4⋊C4C24semidirect
197. C13×C4⋊C4C24semidirect
205. C13×C22⋊C4C24semidirect
206. C13×C22⋊C4C24semidirect
207. C13×C22⋊C4C24semidirect
208. C13×C22⋊C4C24semidirect
209. C42×C13C24semidirect
210. C42×C13C24semidirect
211. C42×C13C24semidirect
212. #3532C2×C13direct (N × H)
213. C2×H(3,𝔽4)C2×C13semidirect
214. C2×#560C2×C13semidirect
215. C2×#551C2×C13semidirect
216. C2×#546C2×C13semidirect
217. C2×D42C2×C13semidirect
218. C2×#538C2×C13semidirect
219. C2×#535C2×C13semidirect
220. C2×#534C2×C13semidirect
221. C22×#120C2×C13semidirect
274. C26C22×C13semidirect
275. C22×#41C22×C13semidirect
276. C23×D4C22×C13semidirect
277. C23×D4C22×C13semidirect
278. C23×D4C22×C13semidirect
279. H(3,𝔽4)C22×C13semidirect
280. #560C22×C13semidirect
281. #551C22×C13semidirect
282. #546C22×C13semidirect
283. D42C22×C13semidirect
284. #538C22×C13semidirect
285. #535C22×C13semidirect
286. #534C22×C13semidirect
287. C2×#127C22×C13semidirect
288. C2×#127C22×C13semidirect
289. C2×#126C22×C13semidirect
290. C2×#126C22×C13semidirect
291. C2×#124C22×C13semidirect
292. C2×#124C22×C13semidirect
293. C2×#124C22×C13semidirect
294. C2×#123C22×C13semidirect
295. C2×#123C22×C13semidirect
296. C2×#123C22×C13semidirect
297. C2×#123C22×C13semidirect
298. C2×C22⋊Q8C22×C13semidirect
299. C2×#121C22×C13semidirect
300. C2×#121C22×C13semidirect
301. C2×#121C22×C13semidirect
302. C2×#121C22×C13semidirect
303. C2×#121C22×C13semidirect
305. C2×#120C22×C13semidirect
306. C2×#120C22×C13semidirect
307. C2×#120C22×C13semidirect
308. C2×#120C22×C13semidirect
309. C2×#120C22×C13semidirect
310. C2×#120C22×C13semidirect
311. C2×#120C22×C13semidirect
312. C2×#120C22×C13semidirect
313. C2×#120C22×C13semidirect
314. C2×C4×D4C22×C13semidirect
315. C2×C4×D4C22×C13semidirect
316. C2×#117C22×C13semidirect
317. C22×C22⋊C4C22×C13semidirect
318. C22×C22⋊C4C22×C13semidirect
319. C22×C22⋊C4C22×C13semidirect
350. C25C23×C13semidirect
351. C25C23×C13semidirect
353. C2×#41C23×C13semidirect
354. C22×Q8C23×C13semidirect
366. C22×D4C23×C13semidirect
367. C22×D4C23×C13semidirect
368. C22×D4C23×C13semidirect
369. C22×D4C23×C13semidirect
370. C22×D4C23×C13semidirect
373. C23×C4C23×C13semidirect
374. C23×C4C23×C13semidirect
375. #127C23×C13semidirect
376. #127C23×C13semidirect
377. #126C23×C13semidirect
378. #126C23×C13semidirect
379. #124C23×C13semidirect
380. #124C23×C13semidirect
381. #124C23×C13semidirect
382. #123C23×C13semidirect
383. #123C23×C13semidirect
384. #123C23×C13semidirect
385. #123C23×C13semidirect
386. C22⋊Q8C23×C13semidirect
387. #121C23×C13semidirect
388. #121C23×C13semidirect
389. #121C23×C13semidirect
390. #121C23×C13semidirect
391. #121C23×C13semidirect
393. #120C23×C13semidirect
394. #120C23×C13semidirect
395. #120C23×C13semidirect
396. #120C23×C13semidirect
397. #120C23×C13semidirect
398. #120C23×C13semidirect
399. #120C23×C13semidirect
400. #120C23×C13semidirect
401. C4×D4C23×C13semidirect
402. C4×D4C23×C13semidirect
403. #117C23×C13semidirect
404. C2×C4⋊C4C23×C13semidirect
405. C2×C4⋊C4C23×C13semidirect
406. C2×C4⋊C4C23×C13semidirect
414. C2×C22⋊C4C23×C13semidirect
415. C2×C22⋊C4C23×C13semidirect
416. C2×C22⋊C4C23×C13semidirect
417. C2×C22⋊C4C23×C13semidirect
418. C2×C22⋊C4C23×C13semidirect
419. C2×C22⋊C4C23×C13semidirect
420. C2×C22⋊C4C23×C13semidirect
421. C2×C42C23×C13semidirect
422. C2×C42C23×C13semidirect
423. C2×C42C23×C13semidirect
429. C2×C13#3532direct (N × H)
450. C24C24×C13semidirect
453. C2×Q8C24×C13semidirect
475. C2×D4C24×C13semidirect
476. C2×D4C24×C13semidirect
487. C22×C4C24×C13semidirect
488. C22×C4C24×C13semidirect
489. C4⋊C4C24×C13semidirect
490. C4⋊C4C24×C13semidirect
491. C4⋊C4C24×C13semidirect
499. C22⋊C4C24×C13semidirect
500. C22⋊C4C24×C13semidirect
501. C22⋊C4C24×C13semidirect
502. C22⋊C4C24×C13semidirect
503. C42C24×C13semidirect
504. C42C24×C13semidirect
505. C42C24×C13semidirect
506. C13C2×#3532direct (N × H)
589. C2C13×#3532direct (N × H)

Maximal subgroups

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

subgroupindex
C13×#35322
C2×C13×H(3,𝔽4)2
C2×C13×#5602
C2×C13×#5512
C2×C13×#5462
C2×D42×C132
C2×C13×#5382
C2×C13×#5352
C2×C13×#5342
C22×C13×#1202
C2×#353213