Finite Group Databasebeta

← C13×#34488 #15720827

Subgroups — C13×#34488 #15720827

Order 3328.

1940 conjugacy classes of subgroups.

The subgroup lattice has 626 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C13×#557C211yesmaximal, characteristic
2C13×#2382C214yesmaximal
3C13×#2370C212yesmaximal
4C13×#2365C211yesmaximal, characteristic
5C13×#2365C212yesmaximal
6C13×#2355C211yesmaximal, characteristic
7C13×#2355C212yesmaximal
8C13×#2351C212yesmaximal
9Q8×C13×C4⋊C4C211yesmaximal, characteristic
10C13×#2336C214yesmaximal
11C13×#2330C212yesmaximal
12C13×#2327C212yesmaximal
13C13×#2320C212yesmaximal
14C13×#2320C212yesmaximal
15C4×C13×C4⋊Q8C211yesmaximal, characteristic
16C13×#2295C211yesmaximal, characteristic
17C13×#2295C211yesmaximal, characteristic
18C13×#557C4116yescomplemented
19C2×C13×C4⋊Q8C2211yescharacteristic
20C2×C13×C4⋊Q8C2212yes—
21C2×C13×#125C2212yes—
22C2×C13×#125C2214yes—
23C2×C4×Q8×C13C2212yes—
24C2×C4×Q8×C13C2212yes—
25C2×C4×Q8×C13C2212yes—
26C2×C4×Q8×C13C2211yescharacteristic
27C2×C4×Q8×C13C2211yescharacteristic
28C2×C4×Q8×C13C2212yes—
29C2×C4×Q8×C13C2212yes—
30C13×#391C2211yescharacteristic
31C13×#391C2211yescharacteristic
32C13×#391C2211yescharacteristic
33C13×#391C2211yescharacteristic
34C13×#391C2212yes—
35C13×#391C2212yes—
36C13×#391C2212yes—
37C13×#389C2211yescharacteristic
38C13×#389C2211yescharacteristic
39C13×#389C2211yescharacteristic
40C13×#389C2211yescharacteristic
41C13×#389C2212yes—
42C13×#389C2212yes—
43C13×#389C2212yes—
44C13×#389C2212yes—
45C13×#389C2214yes—
46C13×#389C2214yes—
47C13×#389C2214yes—
48C13×#389C2214yes—
49C13×#387C2212yes—
50C13×#387C2212yes—
51C13×#387C2212yes—
52C13×#387C2212yes—
53C13×#387C2214yes—
54C13×#387C2214yes—
55C13×#387C2214yes—
56C13×#387C2214yes—
57C13×#387C2214yes—
58C13×#387C2214yes—
59C13×#387C2214yes—
60C13×#387C2214yes—
61C13×#387C2214yes—
62C13×#387C2214yes—
63C13×#384C2211yescharacteristic
64C13×#384C2212yes—
65C13×#383C2214yes—
66C13×#382C2214yes—
67C13×#382C2214yes—
68C13×#382C2212yes—
69C4×C13×C4⋊C4C2211yescharacteristic
70C4×C13×C4⋊C4C2212yes—
71C4×C13×C4⋊C4C2211yescharacteristic
72C4×C13×C4⋊C4C2212yes—
73C4×C13×C4⋊C4C2212yes—
74C4×C13×C4⋊C4C2212yes—
75C4×C13×C4⋊C4C2212yes—
76C4×C13×C4⋊C4C2212yes—
77C4×C13×C4⋊C4C2212yes—
78C4×C13×C4⋊C4C2212yes—
79C4×C13×C4⋊C4C2214yes—
80C4×C13×C4⋊C4C2214yes—
81C13×#376C2212yes—
82C13×#376C2212yes—
83C43×C13C2211yescharacteristic
84C22×Q8×C13C2311yescharacteristic
85C22×Q8×C13C2311yescharacteristic
86C22×Q8×C13C2312yes—
87C13×C4⋊Q8C2×C418yes—
88C13×C4⋊Q8C2×C4116yes—
89C13×#125C2×C4116yes—
90C13×#125C2×C4132yes—
91C4×Q8×C13—44no—
92C4×Q8×C13—44no—
93C4×Q8×C13—44no—
94C4×Q8×C13C2×C4116yes—
95C4×Q8×C13C2×C418yes—
96C4×Q8×C13C2×C4116yes—
97C4×Q8×C13C2×C418yes—
98C2×C13×C4⋊C4C2311yescharacteristic
99C2×C13×C4⋊C4C2312yes—
100C2×C13×C4⋊C4C2312yes—
101C2×C13×C4⋊C4C2312yes—
102C2×C13×C4⋊C4C2311yescharacteristic
103C2×C13×C4⋊C4C2311yescharacteristic
104C2×C13×C4⋊C4C2311yescharacteristic
105C2×C13×C4⋊C4C2312yes—
106C2×C13×C4⋊C4C2312yes—
107C2×C13×C4⋊C4C2314yes—
108C2×C13×C4⋊C4C2312yes—
109C2×C13×C4⋊C4C2312yes—
110C2×C13×C4⋊C4C2314yes—
111C2×C13×C4⋊C4C2314yes—
112C2×C13×C4⋊C4C2314yes—
113C2×C13×C4⋊C4C2311yescharacteristic
114C2×C13×C4⋊C4C2312yes—
115C2×C13×C4⋊C4C2312yes—
116C2×C13×C4⋊C4C2314yes—
117C2×C13×C4⋊C4C2312yes—
118C2×C13×C4⋊C4C2314yes—
119C2×C13×C4⋊C4C2312yes—
120C2×C13×C4⋊C4C2314yes—
121C2×C13×C4⋊C4C2311yescharacteristic
122C2×C42×C13C2311yescharacteristic
123C2×C42×C13C2312yes—
124C2×C42×C13C2311yescharacteristic
125C2×C42×C13C2311yescharacteristic
126C2×C42×C13C2312yes—
127C2×C42×C13C2311yescharacteristic
128C2×C42×C13C2311yescharacteristic
129C2×C42×C13C2314yes—
130C2×C42×C13C2314yes—
131C2×C42×C13C2314yes—
132C2×C42×C13C2314yes—
133C2×C42×C13C2311yescharacteristic
134C2×C42×C13C2312yes—
135C2×C42×C13C2312yes—
136C2×C42×C13C2311yescharacteristic
137C2×C42×C13C2314yes—
138C13×#95C2312yes—
139C13×#95C2312yes—
140C13×#95C2312yes—
141C13×#95C2314yes—
142C13×#95C2314yes—
143C13×#95C2314yes—
144C13×#95C2314yes—
145C13×#95C2314yes—
146C13×#95C2314yes—
147C13×#95C2314yes—
148C13×#95C2314yes—
149C13×#95C2312yes—
150C13×#95C2312yes—
151C13×#95C2312yes—
152C13×#95C2312yes—
153C13×#95C2312yes—
154C13×#95C2312yes—
155C13×#95C2312yes—
156C13×#95C2312yes—
157C13×#95C2312yes—
158C13×#95C2312yes—
159C13×#95C2312yes—
160#34488C1311yesmaximal, characteristic, direct product factor, Sylow
161C2×Q8×C13—24no—
162C2×Q8×C13—22no—
163C2×Q8×C13—22no—
164C2×Q8×C13—22no—
165C2×Q8×C13—22no—
166C2×Q8×C13—24no—
167C2×Q8×C13C22×C414yes—
168C2×Q8×C13C22×C414yes—
169C2×Q8×C13C22×C418yes—
170C22×C4×C13C2411yescharacteristic
171C22×C4×C13C2411yescharacteristic
172C22×C4×C13C2412yes—
173C22×C4×C13C2412yes—
174C22×C4×C13C2412yes—
175C22×C4×C13C2412yes—
176C22×C4×C13C2411yescharacteristic
177C22×C4×C13C2414yes—
178C22×C4×C13C2412yes—
179C22×C4×C13C2411yescharacteristic
180C22×C4×C13C2412yes—
181C22×C4×C13C2412yes—
182C22×C4×C13C2412yes—
183C22×C4×C13C2414yes—
184C22×C4×C13C2411yescharacteristic
185C22×C4×C13C2411yescharacteristic
186C22×C4×C13C2411yescharacteristic
187C13×C4⋊C4—22no—
188C13×C4⋊C4—24no—
189C13×C4⋊C4—24no—
190C13×C4⋊C4—24no—
191C13×C4⋊C4—22no—
192C13×C4⋊C4—22no—
193C13×C4⋊C4—24no—
194C13×C4⋊C4—22no—
195C13×C4⋊C4—42no—
196C13×C4⋊C4—42no—
197C13×C4⋊C4—42no—
198C13×C4⋊C4—44no—
199C13×C4⋊C4—44no—
200C13×C4⋊C4—44no—
201C13×C4⋊C4—44no—
202C13×C4⋊C4C22×C414yes—
203C13×C4⋊C4C22×C418yes—
204C13×C4⋊C4C22×C4116yes—
205C13×C4⋊C4C22×C418yes—
206C13×C4⋊C4C22×C414yes—
207C13×C4⋊C4C22×C4116yes—
208C13×C4⋊C4C22×C418yes—
209C13×C4⋊C4C22×C418yes—
210C13×C4⋊C4C22×C4116yes—
211C42×C13—22no—
212C42×C13—24no—
213C42×C13—22no—
214C42×C13—22no—
215C42×C13—24no—
216C42×C13—22no—
217C42×C13—22no—
218C42×C13—44no—
219C42×C13—41no—
220C42×C13—44no—
221C42×C13—44no—
222C42×C13—44no—
223C42×C13C22×C4116yes—
224C42×C13C22×C418yes—
225C42×C13C22×C418yes—
226C42×C13C22×C414yes—
227C2×#557C2×C1311yescharacteristic
228#2382C2×C1314yes—
229#2370C2×C1312yes—
230#2365C2×C1312yes—
231#2365C2×C1311yescharacteristic
232#2355C2×C1312yes—
233#2355C2×C1311yescharacteristic
234#2351C2×C1312yes—
235Q8×C4⋊C4C2×C1311yescharacteristic
236#2336C2×C1314yes—
237#2330C2×C1312yes—
238#2327C2×C1312yes—
239#2320C2×C1312yes—
240#2320C2×C1312yes—
241C4×C4⋊Q8C2×C1311yescharacteristic
242#2295C2×C1311yescharacteristic
243#2295C2×C1311yescharacteristic
244C23×C13C2511yescharacteristic
245Q8×C13—28no—
246Q8×C13—216no—
247Q8×C13—28no—
248C2×C4×C13—21no—
249C2×C4×C13—24no—
250C2×C4×C13—22no—
251C2×C4×C13—21no—
252C2×C4×C13—21no—
253C2×C4×C13—22no—
254C2×C4×C13—22no—
255C2×C4×C13—22no—
256C2×C4×C13—22no—
257C2×C4×C13—22no—
258C2×C4×C13—24no—
259C2×C4×C13—22no—
260C2×C4×C13—21no—
261C2×C4×C13—22no—
262C2×C4×C13—22no—
263C2×C4×C13—22no—
264C2×C4×C13—21no—
265C2×C4×C13—22no—
266C2×C4×C13—24no—
267C2×C4×C13—22no—
268C2×C4×C13—21no—
269C2×C4×C13—21no—
270C2×C4×C13—22no—
271C2×C4×C13—21no—
272C2×C4×C13—21no—
273C2×C4×C13—21no—
274C2×C4×C13—21no—
275C2×C4×C13—22no—
276C2×C4×C13—22no—
277C2×C4×C13—22no—
278C2×C4×C13—22no—
279C2×C4×C13—24no—
280C2×C4×C13—22no—
281C2×C4×C13—22no—
282C2×C4×C13—21no—
283C2×C4×C13—24no—
284C2×C4×C13—21no—
285C2×C4×C13—22no—
286C2×C4×C13C23×C414yes—
287C2×C4×C13C23×C414yes—
288C2×C4×C13C23×C412yes—
289C2×C4×C13C23×C414yes—
290C2×C4×C13C23×C418yes—
291C2×C4×C13C23×C414yes—
292C2×C4×C13C23×C412yes—
293C2×C4×C13C23×C412yes—
294C2×C4×C13H(5,𝔽2)12yes—
295C2×C4×C132−1+412yes—
296C2×C4×C132−1+412yes—
297C2×C4×C132−1+412yes—
298C2×C4×C132−1+412yes—
299#557C4×C13116yescomplemented
300C2×C4⋊Q8C22×C1311yescharacteristic
301C2×C4⋊Q8C22×C1312yes—
302C2×#125C22×C1312yes—
303C2×#125C22×C1314yes—
304C2×C4×Q8C22×C1312yes—
305C2×C4×Q8C22×C1312yes—
306C2×C4×Q8C22×C1312yes—
307C2×C4×Q8C22×C1312yes—
308C2×C4×Q8C22×C1312yes—
309C2×C4×Q8C22×C1311yescharacteristic
310C2×C4×Q8C22×C1311yescharacteristic
311#391C22×C1312yes—
312#391C22×C1311yescharacteristic
313#391C22×C1312yes—
314#391C22×C1312yes—
315#391C22×C1311yescharacteristic
316#391C22×C1311yescharacteristic
317#391C22×C1311yescharacteristic
318#389C22×C1312yes—
319#389C22×C1312yes—
320#389C22×C1311yescharacteristic
321#389C22×C1312yes—
322#389C22×C1312yes—
323#389C22×C1311yescharacteristic
324#389C22×C1314yes—
325#389C22×C1314yes—
326#389C22×C1314yes—
327#389C22×C1314yes—
328#389C22×C1311yescharacteristic
329#389C22×C1311yescharacteristic
330#387C22×C1314yes—
331#387C22×C1314yes—
332#387C22×C1314yes—
333#387C22×C1314yes—
334#387C22×C1314yes—
335#387C22×C1314yes—
336#387C22×C1314yes—
337#387C22×C1312yes—
338#387C22×C1312yes—
339#387C22×C1314yes—
340#387C22×C1314yes—
341#387C22×C1314yes—
342#387C22×C1312yes—
343#387C22×C1312yes—
344#384C22×C1311yescharacteristic
345#384C22×C1312yes—
346#383C22×C1314yes—
347#382C22×C1314yes—
348#382C22×C1314yes—
349#382C22×C1312yes—
350C4×C4⋊C4C22×C1312yes—
351C4×C4⋊C4C22×C1312yes—
352C4×C4⋊C4C22×C1312yes—
353C4×C4⋊C4C22×C1312yes—
354C4×C4⋊C4C22×C1312yes—
355C4×C4⋊C4C22×C1312yes—
356C4×C4⋊C4C22×C1314yes—
357C4×C4⋊C4C22×C1314yes—
358C4×C4⋊C4C22×C1311yescharacteristic
359C4×C4⋊C4C22×C1312yes—
360C4×C4⋊C4C22×C1311yescharacteristic
361C4×C4⋊C4C22×C1312yes—
362#376C22×C1312yes—
363#376C22×C1312yes—
364C43C22×C1311yescharacteristic
365C22×C13C24×C411yescharacteristic
366C22×C13C2×H(5,𝔽2)11yescharacteristic
367C22×C13C2×2−1+411yescharacteristic
368C22×C13C2×2−1+411yescharacteristic
369C22×C13C2×2−1+411yescharacteristic
370C22×C13C2×2−1+411yescharacteristic
371C22×C13#58511yescharacteristic
372C4×C13—24no—
373C4×C13—28no—
374C4×C13—24no—
375C4×C13—22no—
376C4×C13—24no—
377C4×C13—24no—
378C4×C13—22no—
379C4×C13—42no—
380C4×C13—42no—
381C4×C13—42no—
382C4×C13—41no—
383C4×C13—44no—
384C4×C13—41no—
385C4×C13—42no—
386C4×C13—41no—
387C4×C13#51914yes—
388C4×C13#52014yes—
389C22×Q8C23×C1312yes—
390C22×Q8C23×C1311yescharacteristic
391C22×Q8C23×C1311yescharacteristic
392C4⋊Q8C2×C4×C1318yes—
393C4⋊Q8C2×C4×C13116yes—
394#125C2×C4×C13116yes—
395#125C2×C4×C13132yes—
396C4×Q8—44no—
397C4×Q8—44no—
398C4×Q8—44no—
399C4×Q8C2×C4×C13116yes—
400C4×Q8C2×C4×C13116yes—
401C4×Q8C2×C4×C1318yes—
402C4×Q8C2×C4×C1318yes—
403C2×C4⋊C4C23×C1311yescharacteristic
404C2×C4⋊C4C23×C1312yes—
405C2×C4⋊C4C23×C1312yes—
406C2×C4⋊C4C23×C1311yescharacteristic
407C2×C4⋊C4C23×C1312yes—
408C2×C4⋊C4C23×C1312yes—
409C2×C4⋊C4C23×C1311yescharacteristic
410C2×C4⋊C4C23×C1311yescharacteristic
411C2×C4⋊C4C23×C1314yes—
412C2×C4⋊C4C23×C1314yes—
413C2×C4⋊C4C23×C1314yes—
414C2×C4⋊C4C23×C1312yes—
415C2×C4⋊C4C23×C1314yes—
416C2×C4⋊C4C23×C1312yes—
417C2×C4⋊C4C23×C1312yes—
418C2×C4⋊C4C23×C1311yescharacteristic
419C2×C4⋊C4C23×C1311yescharacteristic
420C2×C4⋊C4C23×C1312yes—
421C2×C4⋊C4C23×C1314yes—
422C2×C4⋊C4C23×C1312yes—
423C2×C4⋊C4C23×C1312yes—
424C2×C4⋊C4C23×C1314yes—
425C2×C4⋊C4C23×C1314yes—
426C2×C4⋊C4C23×C1312yes—
427C2×C42C23×C1311yescharacteristic
428C2×C42C23×C1312yes—
429C2×C42C23×C1311yescharacteristic
430C2×C42C23×C1311yescharacteristic
431C2×C42C23×C1311yescharacteristic
432C2×C42C23×C1311yescharacteristic
433C2×C42C23×C1312yes—
434C2×C42C23×C1314yes—
435C2×C42C23×C1314yes—
436C2×C42C23×C1314yes—
437C2×C42C23×C1311yescharacteristic
438C2×C42C23×C1314yes—
439C2×C42C23×C1312yes—
440C2×C42C23×C1314yes—
441C2×C42C23×C1311yescharacteristic
442C2×C42C23×C1312yes—
443#95C23×C1312yes—
444#95C23×C1312yes—
445#95C23×C1312yes—
446#95C23×C1312yes—
447#95C23×C1312yes—
448#95C23×C1312yes—
449#95C23×C1312yes—
450#95C23×C1312yes—
451#95C23×C1312yes—
452#95C23×C1312yes—
453#95C23×C1314yes—
454#95C23×C1312yes—
455#95C23×C1314yes—
456#95C23×C1314yes—
457#95C23×C1314yes—
458#95C23×C1314yes—
459#95C23×C1314yes—
460#95C23×C1314yes—
461#95C23×C1314yes—
462#95C23×C1312yes—
463#95C23×C1312yes—
464#95C23×C1312yes—
465C2×C13C2×#51911yescharacteristic
466C2×C13C2×#52011yescharacteristic
467C2×C13C4×2−1+411yescharacteristic
468C2×C13#355211yescharacteristic
469C2×C13#355411yescharacteristic
470C2×C13#355511yescharacteristic
471C2×C13#355611yescharacteristic
472C2×Q8—24no—
473C2×Q8—22no—
474C2×Q8—22no—
475C2×Q8—22no—
476C2×Q8—24no—
477C2×Q8—22no—
478C2×Q8C22×C4×C1314yes—
479C2×Q8C22×C4×C1318yes—
480C2×Q8C22×C4×C1314yes—
481C22×C4C24×C1311yescharacteristic
482C22×C4C24×C1311yescharacteristic
483C22×C4C24×C1312yes—
484C22×C4C24×C1312yes—
485C22×C4C24×C1312yes—
486C22×C4C24×C1312yes—
487C22×C4C24×C1311yescharacteristic
488C22×C4C24×C1314yes—
489C22×C4C24×C1312yes—
490C22×C4C24×C1311yescharacteristic
491C22×C4C24×C1312yes—
492C22×C4C24×C1312yes—
493C22×C4C24×C1312yes—
494C22×C4C24×C1314yes—
495C22×C4C24×C1311yescharacteristic
496C22×C4C24×C1311yescharacteristic
497C22×C4C24×C1311yescharacteristic
498C4⋊C4—22no—
499C4⋊C4—24no—
500C4⋊C4—24no—
501C4⋊C4—24no—
502C4⋊C4—22no—
503C4⋊C4—24no—
504C4⋊C4—22no—
505C4⋊C4—22no—
506C4⋊C4—44no—
507C4⋊C4—44no—
508C4⋊C4—44no—
509C4⋊C4—42no—
510C4⋊C4—42no—
511C4⋊C4—42no—
512C4⋊C4—44no—
513C4⋊C4C22×C4×C1314yes—
514C4⋊C4C22×C4×C13116yes—
515C4⋊C4C22×C4×C1318yes—
516C4⋊C4C22×C4×C1318yes—
517C4⋊C4C22×C4×C1314yes—
518C4⋊C4C22×C4×C13116yes—
519C4⋊C4C22×C4×C1318yes—
520C4⋊C4C22×C4×C13116yes—
521C4⋊C4C22×C4×C1318yes—
522C42—22no—
523C42—24no—
524C42—22no—
525C42—22no—
526C42—24no—
527C42—22no—
528C42—22no—
529C42—44no—
530C42—44no—
531C42—44no—
532C42—44no—
533C42—41no—
534C42C22×C4×C13116yes—
535C42C22×C4×C1318yes—
536C42C22×C4×C1318yes—
537C42C22×C4×C1314yes—
538C13#3448811yescharacteristic, direct product factor, Sylow
539C23C25×C1311yescharacteristic
540Q8—28no—
541Q8—216no—
542Q8—28no—
543C2×C4—21no—
544C2×C4—24no—
545C2×C4—22no—
546C2×C4—21no—
547C2×C4—21no—
548C2×C4—22no—
549C2×C4—22no—
550C2×C4—22no—
551C2×C4—22no—
552C2×C4—22no—
553C2×C4—24no—
554C2×C4—22no—
555C2×C4—21no—
556C2×C4—22no—
557C2×C4—22no—
558C2×C4—22no—
559C2×C4—21no—
560C2×C4—22no—
561C2×C4—24no—
562C2×C4—22no—
563C2×C4—21no—
564C2×C4—21no—
565C2×C4—22no—
566C2×C4—21no—
567C2×C4—21no—
568C2×C4—21no—
569C2×C4—21no—
570C2×C4—22no—
571C2×C4—22no—
572C2×C4—22no—
573C2×C4—22no—
574C2×C4—24no—
575C2×C4—22no—
576C2×C4—22no—
577C2×C4—21no—
578C2×C4—24no—
579C2×C4—21no—
580C2×C4—22no—
581C2×C4C23×C4×C1314yes—
582C2×C4C23×C4×C1314yes—
583C2×C4C23×C4×C1312yes—
584C2×C4C23×C4×C1314yes—
585C2×C4C23×C4×C1318yes—
586C2×C4C23×C4×C1314yes—
587C2×C4C23×C4×C1312yes—
588C2×C4C23×C4×C1312yes—
589C2×C4C13×H(5,𝔽2)12yes—
590C2×C4C13×2−1+412yes—
591C2×C4C13×2−1+412yes—
592C2×C4C13×2−1+412yes—
593C2×C4C13×2−1+412yes—
594C22C24×C4×C1311yescharacteristic
595C22C2×C13×H(5,𝔽2)11yescharacteristic
596C22C2×C13×2−1+411yescharacteristic
597C22C2×C13×2−1+411yescharacteristic
598C22C2×C13×2−1+411yescharacteristic
599C22C2×C13×2−1+411yescharacteristic
600C22C13×#58511yescharacteristic
601C4—22no—
602C4—24no—
603C4—28no—
604C4—24no—
605C4—22no—
606C4—24no—
607C4—24no—
608C4—42no—
609C4—42no—
610C4—42no—
611C4—41no—
612C4—44no—
613C4—41no—
614C4—42no—
615C4—41no—
616C4C13×#51914yes—
617C4C13×#52014yes—
618C2C2×C13×#51911yescharacteristic
619C2C2×C13×#52011yescharacteristic
620C2C4×C13×2−1+411yescharacteristic
621C2C13×#355211yescharacteristic
622C2C13×#355411yescharacteristic
623C2C13×#355511yescharacteristic
624C2C13×#355611yescharacteristic
subgroupG/H
center, socle, prime radicalC23×C13C25
commutatorC22C24×C4×C13
Frattini, cosocleC23C25×C13
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C23×C13 ◁ G

Complements

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

NH ≅ G/Ntype
18. C13×#557C4semidirect
160. #34488C13direct (N × H)
299. #557C4×C13semidirect
538. C13#34488direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C13×#5572
C13×#23822
C13×#23702
C13×#23652
C13×#23552
C13×#23512
Q8×C13×C4⋊C42
C13×#23362
C13×#23302
C13×#23272
C13×#23202
C4×C13×C4⋊Q82
C13×#22952
#3448813