Finite Group Databasebeta

← C13×#34291 #15720630

Subgroups — C13×#34291 #15720630

Order 3328.

2912 conjugacy classes of subgroups.

The subgroup lattice has 636 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D4×Q8×C13C211yesmaximal, characteristic
2C2×C13×#519C211yesmaximal, characteristic, complemented
3C22×C4×Q8×C13C211yesmaximal, characteristic, complemented
4C13×#2365C213yesmaximal, complemented
5C13×#2362C213yesmaximal, complemented
6C13×#2360C213yesmaximal, complemented
7C13×#2352C213yesmaximal
8C13×#2351C211yesmaximal, characteristic, complemented
9Q8×C13×C22⋊C4C211yesmaximal, characteristic, complemented
10Q8×C13×C22⋊C4C211yesmaximal, characteristic, complemented
11C13×#2327C213yesmaximal, complemented
12C13×#2323C213yesmaximal, complemented
13C4×C13×C22⋊Q8C213yesmaximal, complemented
14C13×#2290C213yesmaximal
15C13×#2276C211yesmaximal, characteristic, complemented
16C23×Q8×C13C2211yescharacteristic
17C23×Q8×C13C2211yescharacteristic
18D4×Q8×C13C4116yescomplemented
19C2×C13×C4⋊Q8C2213yes—
20C2×C13×C22⋊Q8C2213yes—
21C2×C13×C22⋊Q8C2213yes—
22C13×#519—28no—
23C2×C4×Q8×C13—28no—
24C2×C4×Q8×C13C2211yescharacteristic
25C2×C4×Q8×C13C2213yes—
26C2×C4×Q8×C13C2213yes—
27C2×C4×Q8×C13C2211yescharacteristic
28C2×C4×Q8×C13C2211yescharacteristic
29C2×C4×Q8×C13C2213yes—
30C2×C4×Q8×C13C2213yes—
31C2×C4×Q8×C13C2211yescharacteristic
32C2×C4×Q8×C13C2211yescharacteristic
33C2×C4×D4×C13C2213yes—
34C2×C13×#117C2213yes—
35C2×C13×#117C2213yes—
36C22×C13×C4⋊C4C2213yes—
37C22×C42×C13C2213yes—
38C13×#391C2213yes—
39C13×#391C2213yes—
40C13×#391C2213yes—
41C13×#391C2213yes—
42C13×#389C2213yes—
43C13×#389C2213yes—
44C13×#389C2216yes—
45C13×#388C2213yes—
46C13×#388C2213yes—
47C13×#388C2216yes—
48C13×#387C2213yes—
49C13×#387C2213yes—
50C13×#387C2216yes—
51C13×#387C2216yes—
52C13×#387C2216yes—
53C13×#386C2211yescharacteristic
54C13×#386C2213yes—
55C13×#385C2213yes—
56C13×#385C2213yes—
57C13×#382C2213yes—
58C13×#380C2213yes—
59C13×#380C2213yes—
60C4×C13×C4⋊C4C2213yes—
61C4×C13×C4⋊C4C2213yes—
62C4×C13×C4⋊C4C2213yes—
63C4×C13×C4⋊C4C2213yes—
64C4×C13×C4⋊C4C2216yes—
65C4×C13×C22⋊C4C2213yes—
66C4×C13×C22⋊C4C2213yes—
67C4×C13×C22⋊C4C2216yes—
68C13×#376C2213yes—
69C22×Q8×C13—24no—
70C22×Q8×C13—24no—
71C22×Q8×C13—24no—
72C22×Q8×C13—24no—
73C22×Q8×C13C2×C418yes—
74C22×Q8×C13C2×C418yescomplemented
75C22×Q8×C13C2313yes—
76C22×Q8×C13C2313yes—
77C22×Q8×C13C2311yescharacteristic
78C22×D4×C13C2311yescharacteristic
79C23×C4×C13C2311yescharacteristic
80C23×C4×C13C2313yes—
81C23×C4×C13C2313yes—
82C23×C4×C13C2313yes—
83C13×C4⋊Q8C2×C4124yescomplemented
84C13×C22⋊Q8C2×C4124yes—
85C13×C22⋊Q8C2×C4124yescomplemented
86C4×Q8×C13—24no—
87C4×Q8×C13—24no—
88C4×Q8×C13—24no—
89C4×Q8×C13—212no—
90C4×Q8×C13—212no—
91C4×Q8×C13—212no—
92C4×Q8×C13—212no—
93C4×Q8×C13C2×C418yescomplemented
94C4×Q8×C13D418yescomplemented
95C4×D4×C13C2×C4124yes—
96C13×#117—212no—
97C13×#117—212no—
98C2×C13×C4⋊C4—212no—
99C2×C13×C4⋊C4C2313yes—
100C2×C13×C4⋊C4C2313yes—
101C2×C13×C4⋊C4C2313yes—
102C2×C13×C4⋊C4C2313yes—
103C2×C13×C4⋊C4C2313yes—
104C2×C13×C4⋊C4C2313yes—
105C2×C13×C4⋊C4C2316yes—
106C2×C13×C4⋊C4C2313yes—
107C2×C13×C4⋊C4C2313yes—
108C2×C13×C4⋊C4C2316yes—
109C2×C13×C4⋊C4C2313yes—
110C2×C13×C4⋊C4C2313yes—
111C2×C13×C22⋊C4C2313yes—
112C2×C13×C22⋊C4C2311yescharacteristic
113C2×C13×C22⋊C4C2311yescharacteristic
114C2×C13×C22⋊C4C2313yes—
115C2×C13×C22⋊C4C2311yescharacteristic
116C2×C13×C22⋊C4C2313yes—
117C2×C13×C22⋊C4C2313yes—
118C2×C13×C22⋊C4C2313yes—
119C2×C42×C13—212no—
120C2×C42×C13C2313yes—
121C2×C42×C13C2316yes—
122C2×C42×C13C2313yes—
123C2×C42×C13C2313yes—
124C2×C42×C13C2313yes—
125C2×C42×C13C2313yes—
126C2×C42×C13C2316yes—
127C2×C42×C13C2313yes—
128C2×C42×C13C2313yes—
129C13×#95C2313yes—
130C13×#95C2316yes—
131C13×#95C2316yes—
132C13×#95C2313yes—
133C13×#95C2313yes—
134C13×#95C2313yes—
135C13×#95C2311yescharacteristic
136C13×#95C2313yes—
137C13×#95C2313yes—
138C13×#95C2313yes—
139C13×#95C2316yes—
140C13×#95C2313yes—
141C13×#95C2311yescharacteristic
142#34291C1311yesmaximal, characteristic, direct product factor, Sylow
143C24×C13C2411yescharacteristic
144C24×C13C2411yescharacteristic
145C2×Q8×C13—232no—
146C2×Q8×C13—232no—
147C2×Q8×C13—26no—
148C2×Q8×C13—26no—
149C2×Q8×C13—26no—
150C2×Q8×C13—26no—
151C2×Q8×C13C22×C4112yes—
152C2×Q8×C13C22×C4112yes—
153C2×Q8×C13C22×C414yes—
154C2×Q8×C13C2×D414yes—
155C2×Q8×C13#4114yes—
156C2×D4×C13—22no—
157C2×D4×C13—22no—
158C2×D4×C13C22×C414yes—
159C22×C4×C13—22no—
160C22×C4×C13—22no—
161C22×C4×C13—26no—
162C22×C4×C13—26no—
163C22×C4×C13—26no—
164C22×C4×C13—26no—
165C22×C4×C13—22no—
166C22×C4×C13—26no—
167C22×C4×C13—26no—
168C22×C4×C13—43no—
169C22×C4×C13C22×C4112yes—
170C22×C4×C13C22×C4112yes—
171C22×C4×C13C2411yescharacteristic
172C22×C4×C13C2413yes—
173C22×C4×C13C2413yes—
174C22×C4×C13C2413yes—
175C22×C4×C13C2411yescharacteristic
176C22×C4×C13C2411yescharacteristic
177C22×C4×C13C2413yes—
178C22×C4×C13C2413yes—
179C22×C4×C13C2413yes—
180C22×C4×C13C2411yescharacteristic
181C22×C4×C13C2413yes—
182C22×C4×C13C2411yescharacteristic
183C22×C4×C13C2413yes—
184C13×C4⋊C4—212no—
185C13×C4⋊C4—26no—
186C13×C4⋊C4—26no—
187C13×C4⋊C4—26no—
188C13×C4⋊C4—26no—
189C13×C4⋊C4—26no—
190C13×C4⋊C4—26no—
191C13×C4⋊C4—43no—
192C13×C4⋊C4C22×C4112yes—
193C13×C4⋊C4C22×C4112yes—
194C13×C4⋊C4C22×C4124yes—
195C13×C4⋊C4C2×D4112yes—
196C13×C22⋊C4—26no—
197C13×C22⋊C4—22no—
198C13×C22⋊C4—22no—
199C13×C22⋊C4—26no—
200C13×C22⋊C4—22no—
201C13×C22⋊C4—43no—
202C13×C22⋊C4C22×C4112yes—
203C13×C22⋊C4C22×C4112yes—
204C42×C13—26no—
205C42×C13—26no—
206C42×C13—26no—
207C42×C13—212no—
208C42×C13—26no—
209C42×C13—26no—
210C42×C13—46no—
211C42×C13C22×C4112yes—
212C42×C13C2×D4112yes—
213C2×D4×Q8C2×C1311yescharacteristic
214C2×#519C2×C1311yescharacteristic, complemented
215C22×C4×Q8C2×C1311yescharacteristic, complemented
216#2365C2×C1313yescomplemented
217#2362C2×C1313yescomplemented
218#2360C2×C1313yescomplemented
219#2352C2×C1313yes—
220#2351C2×C1311yescharacteristic, complemented
221Q8×C22⋊C4C2×C1311yescharacteristic, complemented
222Q8×C22⋊C4C2×C1311yescharacteristic, complemented
223#2327C2×C1313yescomplemented
224#2323C2×C1313yescomplemented
225C4×C22⋊Q8C2×C1313yescomplemented
226#2290C2×C1313yes—
227#2276C2×C1311yescharacteristic, complemented
228C23×C13—21no—
229C23×C13—21no—
230C23×C13—21no—
231C23×C13—21no—
232C23×C13—21no—
233C23×C13—21no—
234C23×C13—21no—
235C23×C13—21no—
236C23×C13—21no—
237C23×C13—21no—
238C23×C13C23×C412yes—
239C23×C13C23×C412yes—
240C23×C132−1+412yes—
241C23×C132−1+412yes—
242C23×C13C2511yescharacteristic
243Q8×C13—224no—
244Q8×C13—224no—
245Q8×C13C4×D4116yes—
246D4×C13—28no—
247C2×C4×C13—28no—
248C2×C4×C13—21no—
249C2×C4×C13—23no—
250C2×C4×C13—23no—
251C2×C4×C13—23no—
252C2×C4×C13—23no—
253C2×C4×C13—23no—
254C2×C4×C13—21no—
255C2×C4×C13—21no—
256C2×C4×C13—21no—
257C2×C4×C13—23no—
258C2×C4×C13—21no—
259C2×C4×C13—21no—
260C2×C4×C13—23no—
261C2×C4×C13—23no—
262C2×C4×C13—224no—
263C2×C4×C13—224no—
264C2×C4×C13—23no—
265C2×C4×C13—21no—
266C2×C4×C13—23no—
267C2×C4×C13—21no—
268C2×C4×C13—23no—
269C2×C4×C13—23no—
270C2×C4×C13—21no—
271C2×C4×C13—23no—
272C2×C4×C13—21no—
273C2×C4×C13—21no—
274C2×C4×C13—23no—
275C2×C4×C13—23no—
276C2×C4×C13—23no—
277C2×C4×C13—23no—
278C2×C4×C13—21no—
279C2×C4×C13—412no—
280C2×C4×C13C23×C412yes—
281C2×C4×C13C23×C416yes—
282C2×C4×C13C23×C416yes—
283C2×C4×C13C23×C416yes—
284C2×C4×C13C23×C416yes—
285C2×C4×C13C22×D412yes—
286C2×C4×C13C22×D416yes—
287C2×C4×C13C22×D416yes—
288C2×C4×C13C2×#4116yes—
289C2×C4×C132−1+412yes—
290C23×Q8C22×C1311yescharacteristic
291C23×Q8C22×C1311yescharacteristic
292D4×Q8C4×C13116yescomplemented
293C2×C4⋊Q8C22×C1313yes—
294C2×C22⋊Q8C22×C1313yes—
295C2×C22⋊Q8C22×C1313yes—
296#519—28no—
297C2×C4×Q8—28no—
298C2×C4×Q8C22×C1313yes—
299C2×C4×Q8C22×C1313yes—
300C2×C4×Q8C22×C1311yescharacteristic
301C2×C4×Q8C22×C1311yescharacteristic
302C2×C4×Q8C22×C1311yescharacteristic
303C2×C4×Q8C22×C1313yes—
304C2×C4×Q8C22×C1313yes—
305C2×C4×Q8C22×C1311yescharacteristic
306C2×C4×Q8C22×C1311yescharacteristic
307C2×C4×D4C22×C1313yes—
308C2×#117C22×C1313yes—
309C2×#117C22×C1313yes—
310C22×C4⋊C4C22×C1313yes—
311C22×C42C22×C1313yes—
312#391C22×C1313yes—
313#391C22×C1313yes—
314#391C22×C1313yes—
315#391C22×C1313yes—
316#389C22×C1313yes—
317#389C22×C1316yes—
318#389C22×C1313yes—
319#388C22×C1313yes—
320#388C22×C1316yes—
321#388C22×C1313yes—
322#387C22×C1316yes—
323#387C22×C1313yes—
324#387C22×C1316yes—
325#387C22×C1316yes—
326#387C22×C1313yes—
327#386C22×C1313yes—
328#386C22×C1311yescharacteristic
329#385C22×C1313yes—
330#385C22×C1313yes—
331#382C22×C1313yes—
332#380C22×C1313yes—
333#380C22×C1313yes—
334C4×C4⋊C4C22×C1313yes—
335C4×C4⋊C4C22×C1313yes—
336C4×C4⋊C4C22×C1313yes—
337C4×C4⋊C4C22×C1313yes—
338C4×C4⋊C4C22×C1316yes—
339C4×C22⋊C4C22×C1313yes—
340C4×C22⋊C4C22×C1313yes—
341C4×C22⋊C4C22×C1316yes—
342#376C22×C1313yes—
343C22×C13—22no—
344C22×C13—22no—
345C22×C13—22no—
346C22×C13—22no—
347C22×C13—22no—
348C22×C13—22no—
349C22×C13—22no—
350C22×C13—22no—
351C22×C13—22no—
352C22×C13—41no—
353C22×C13—41no—
354C22×C13—41no—
355C22×C13—41no—
356C22×C13#51914yescomplemented
357C22×C13C24×C411yescharacteristic
358C22×C13C23×D411yescharacteristic
359C22×C13C22×#4111yescharacteristic
360C22×C13C2×2−1+411yescharacteristic
361C22×C13C2×2−1+411yescharacteristic
362C22×C13C2×2−1+411yescharacteristic
363C22×C13#58511yescharacteristic
364C4×C13—26no—
365C4×C13—26no—
366C4×C13—22no—
367C4×C13—26no—
368C4×C13—22no—
369C4×C13—22no—
370C4×C13—26no—
371C4×C13—43no—
372C4×C13—41no—
373C4×C13—43no—
374C4×C13—43no—
375C4×C13—41no—
376C4×C13C2×C4×D4112yes—
377C22×Q8—24no—
378C22×Q8—24no—
379C22×Q8—24no—
380C22×Q8—24no—
381C22×Q8C2×C4×C1318yes—
382C22×Q8C2×C4×C1318yescomplemented
383C22×Q8C23×C1313yes—
384C22×Q8C23×C1313yes—
385C22×Q8C23×C1311yescharacteristic
386C22×D4C23×C1311yescharacteristic
387C23×C4C23×C1311yescharacteristic
388C23×C4C23×C1313yes—
389C23×C4C23×C1313yes—
390C23×C4C23×C1313yes—
391C4⋊Q8C2×C4×C13124yescomplemented
392C22⋊Q8C2×C4×C13124yes—
393C22⋊Q8C2×C4×C13124yescomplemented
394C4×Q8—24no—
395C4×Q8—24no—
396C4×Q8—24no—
397C4×Q8—212no—
398C4×Q8—212no—
399C4×Q8—212no—
400C4×Q8—212no—
401C4×Q8C2×C4×C1318yescomplemented
402C4×Q8D4×C1318yescomplemented
403C4×D4C2×C4×C13124yes—
404#117—212no—
405#117—212no—
406C2×C4⋊C4—212no—
407C2×C4⋊C4C23×C1313yes—
408C2×C4⋊C4C23×C1316yes—
409C2×C4⋊C4C23×C1313yes—
410C2×C4⋊C4C23×C1313yes—
411C2×C4⋊C4C23×C1313yes—
412C2×C4⋊C4C23×C1313yes—
413C2×C4⋊C4C23×C1313yes—
414C2×C4⋊C4C23×C1313yes—
415C2×C4⋊C4C23×C1313yes—
416C2×C4⋊C4C23×C1313yes—
417C2×C4⋊C4C23×C1316yes—
418C2×C4⋊C4C23×C1313yes—
419C2×C22⋊C4C23×C1313yes—
420C2×C22⋊C4C23×C1311yescharacteristic
421C2×C22⋊C4C23×C1313yes—
422C2×C22⋊C4C23×C1311yescharacteristic
423C2×C22⋊C4C23×C1311yescharacteristic
424C2×C22⋊C4C23×C1313yes—
425C2×C22⋊C4C23×C1313yes—
426C2×C22⋊C4C23×C1313yes—
427C2×C42—212no—
428C2×C42C23×C1316yes—
429C2×C42C23×C1313yes—
430C2×C42C23×C1313yes—
431C2×C42C23×C1313yes—
432C2×C42C23×C1313yes—
433C2×C42C23×C1313yes—
434C2×C42C23×C1316yes—
435C2×C42C23×C1313yes—
436C2×C42C23×C1313yes—
437#95C23×C1311yescharacteristic
438#95C23×C1313yes—
439#95C23×C1313yes—
440#95C23×C1313yes—
441#95C23×C1313yes—
442#95C23×C1316yes—
443#95C23×C1316yes—
444#95C23×C1313yes—
445#95C23×C1313yes—
446#95C23×C1313yes—
447#95C23×C1311yescharacteristic
448#95C23×C1316yes—
449#95C23×C1313yes—
450C2×C13—24no—
451C2×C13—42no—
452C2×C13C22×C4×D411yescharacteristic
453C2×C13C2×#51911yescharacteristic
454C2×C13C4×2−1+411yescharacteristic
455C2×C13#348611yescharacteristic
456C2×C13#348911yescharacteristic
457C2×C13#351611yescharacteristic
458C2×C13#352311yescharacteristic
459C24C24×C1311yescharacteristic
460C24C24×C1311yescharacteristic
461C2×Q8—232no—
462C2×Q8—232no—
463C2×Q8—26no—
464C2×Q8—26no—
465C2×Q8—26no—
466C2×Q8—26no—
467C2×Q8C22×C4×C13112yes—
468C2×Q8C22×C4×C13112yes—
469C2×Q8C22×C4×C1314yes—
470C2×Q8C2×D4×C1314yes—
471C2×Q8C13×#4114yes—
472C2×D4—22no—
473C2×D4—22no—
474C2×D4C22×C4×C1314yes—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—26no—
478C22×C4—26no—
479C22×C4—26no—
480C22×C4—26no—
481C22×C4—22no—
482C22×C4—26no—
483C22×C4—26no—
484C22×C4—43no—
485C22×C4C22×C4×C13112yes—
486C22×C4C22×C4×C13112yes—
487C22×C4C24×C1311yescharacteristic
488C22×C4C24×C1313yes—
489C22×C4C24×C1313yes—
490C22×C4C24×C1313yes—
491C22×C4C24×C1311yescharacteristic
492C22×C4C24×C1311yescharacteristic
493C22×C4C24×C1313yes—
494C22×C4C24×C1313yes—
495C22×C4C24×C1313yes—
496C22×C4C24×C1311yescharacteristic
497C22×C4C24×C1313yes—
498C22×C4C24×C1311yescharacteristic
499C22×C4C24×C1313yes—
500C4⋊C4—212no—
501C4⋊C4—26no—
502C4⋊C4—26no—
503C4⋊C4—26no—
504C4⋊C4—26no—
505C4⋊C4—26no—
506C4⋊C4—26no—
507C4⋊C4—43no—
508C4⋊C4C22×C4×C13112yes—
509C4⋊C4C22×C4×C13112yes—
510C4⋊C4C22×C4×C13124yes—
511C4⋊C4C2×D4×C13112yes—
512C22⋊C4—26no—
513C22⋊C4—22no—
514C22⋊C4—22no—
515C22⋊C4—26no—
516C22⋊C4—22no—
517C22⋊C4—43no—
518C22⋊C4C22×C4×C13112yes—
519C22⋊C4C22×C4×C13112yes—
520C42—26no—
521C42—26no—
522C42—26no—
523C42—212no—
524C42—26no—
525C42—26no—
526C42—46no—
527C42C22×C4×C13112yes—
528C42C2×D4×C13112yes—
529C13#3429111yescharacteristic, direct product factor, Sylow
530C23—21no—
531C23—21no—
532C23—21no—
533C23—21no—
534C23—21no—
535C23—21no—
536C23—21no—
537C23—21no—
538C23—21no—
539C23—21no—
540C23C23×C4×C1312yes—
541C23C23×C4×C1312yes—
542C23C13×2−1+412yes—
543C23C13×2−1+412yes—
544C23C25×C1311yescharacteristic
545Q8—224no—
546Q8—224no—
547Q8C4×D4×C13116yes—
548D4—28no—
549C2×C4—28no—
550C2×C4—21no—
551C2×C4—23no—
552C2×C4—23no—
553C2×C4—23no—
554C2×C4—23no—
555C2×C4—23no—
556C2×C4—21no—
557C2×C4—21no—
558C2×C4—21no—
559C2×C4—23no—
560C2×C4—21no—
561C2×C4—21no—
562C2×C4—23no—
563C2×C4—23no—
564C2×C4—224no—
565C2×C4—224no—
566C2×C4—23no—
567C2×C4—21no—
568C2×C4—23no—
569C2×C4—21no—
570C2×C4—23no—
571C2×C4—21no—
572C2×C4—21no—
573C2×C4—23no—
574C2×C4—21no—
575C2×C4—23no—
576C2×C4—23no—
577C2×C4—23no—
578C2×C4—23no—
579C2×C4—23no—
580C2×C4—21no—
581C2×C4—412no—
582C2×C4C23×C4×C1312yes—
583C2×C4C23×C4×C1316yes—
584C2×C4C23×C4×C1316yes—
585C2×C4C23×C4×C1316yes—
586C2×C4C23×C4×C1316yes—
587C2×C4C22×D4×C1312yes—
588C2×C4C22×D4×C1316yes—
589C2×C4C22×D4×C1316yes—
590C2×C4C2×C13×#4116yes—
591C2×C4C13×2−1+412yes—
592C22—22no—
593C22—22no—
594C22—22no—
595C22—22no—
596C22—22no—
597C22—22no—
598C22—22no—
599C22—22no—
600C22—22no—
601C22—41no—
602C22—41no—
603C22—41no—
604C22—41no—
605C22C13×#51914yescomplemented
606C22C24×C4×C1311yescharacteristic
607C22C23×D4×C1311yescharacteristic
608C22C22×C13×#4111yescharacteristic
609C22C2×C13×2−1+411yescharacteristic
610C22C2×C13×2−1+411yescharacteristic
611C22C2×C13×2−1+411yescharacteristic
612C22C13×#58511yescharacteristic
613C4—26no—
614C4—26no—
615C4—22no—
616C4—26no—
617C4—22no—
618C4—22no—
619C4—26no—
620C4—41no—
621C4—43no—
622C4—41no—
623C4—43no—
624C4—43no—
625C4C2×C4×D4×C13112yes—
626C2—24no—
627C2—42no—
628C2C22×C4×D4×C1311yescharacteristic
629C2C2×C13×#51911yescharacteristic
630C2C4×C13×2−1+411yescharacteristic
631C2C13×#348611yescharacteristic
632C2C13×#348911yescharacteristic
633C2C13×#351611yescharacteristic
634C2C13×#352311yescharacteristic
subgroupG/H
center, socleC23×C13C25
commutatorC22C24×C4×C13
Frattini, cosocleC23C25×C13
prime radicalC22×D4×C13C23
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C23×C13 ◁ G

Complements

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

NH ≅ G/Ntype
2. C2×C13×#519C2semidirect
3. C22×C4×Q8×C13C2semidirect
4. C13×#2365C2semidirect
5. C13×#2362C2semidirect
6. C13×#2360C2semidirect
8. C13×#2351C2semidirect
9. Q8×C13×C22⋊C4C2semidirect
10. Q8×C13×C22⋊C4C2semidirect
11. C13×#2327C2semidirect
12. C13×#2323C2semidirect
13. C4×C13×C22⋊Q8C2semidirect
15. C13×#2276C2semidirect
18. D4×Q8×C13C4semidirect
74. C22×Q8×C13C2×C4semidirect
83. C13×C4⋊Q8C2×C4semidirect
85. C13×C22⋊Q8C2×C4semidirect
93. C4×Q8×C13C2×C4semidirect
94. C4×Q8×C13D4semidirect
142. #34291C13direct (N × H)
214. C2×#519C2×C13semidirect
215. C22×C4×Q8C2×C13semidirect
216. #2365C2×C13semidirect
217. #2362C2×C13semidirect
218. #2360C2×C13semidirect
220. #2351C2×C13semidirect
221. Q8×C22⋊C4C2×C13semidirect
222. Q8×C22⋊C4C2×C13semidirect
223. #2327C2×C13semidirect
224. #2323C2×C13semidirect
225. C4×C22⋊Q8C2×C13semidirect
227. #2276C2×C13semidirect
292. D4×Q8C4×C13semidirect
356. C22×C13#519semidirect
382. C22×Q8C2×C4×C13semidirect
391. C4⋊Q8C2×C4×C13semidirect
393. C22⋊Q8C2×C4×C13semidirect
401. C4×Q8C2×C4×C13semidirect
402. C4×Q8D4×C13semidirect
529. C13#34291direct (N × H)
605. C22C13×#519semidirect

Maximal subgroups

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

subgroupindex
C2×D4×Q8×C132
C2×C13×#5192
C22×C4×Q8×C132
C13×#23652
C13×#23622
C13×#23602
C13×#23522
C13×#23512
Q8×C13×C22⋊C42
C13×#23272
C13×#23232
C4×C13×C22⋊Q82
C13×#22902
C13×#22762
#3429113