Finite Group Databasebeta

← C2×D13×#479 #16730404

Subgroups — C2×D13×#479 #16730404

Order 3328.

2142 conjugacy classes of subgroups.

The subgroup lattice has 712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D13×#125C211yesmaximal, characteristic
2C2×C4×Q8×D13C211yesmaximal, characteristic
3C2×#11718518C211yesmaximal, characteristic, complemented
4C2×#11718457C211yesmaximal, characteristic, complemented
5C2×#11718490C211yesmaximal, characteristic, complemented
6C2×#11718683C211yesmaximal, characteristic, complemented
7C2×#11718538C211yesmaximal, characteristic, complemented
8C2×#11718460C211yesmaximal, characteristic, complemented
9C2×#11718724C211yesmaximal, characteristic, complemented
10D13×#479C2116yesmaximal, direct product factor
11C2×D13×#107C211yesmaximal, characteristic
12C2×D13×#106C211yesmaximal, characteristic
13C2×D13×C4⋊C8C211yesmaximal, characteristic
14C2×D13×#103C211yesmaximal, characteristic
15C2×D13×#103C211yesmaximal, characteristic
16C2×C13×#479C211yesmaximal, characteristic, complemented
17C22×Q8×D13C2211yescharacteristic
18C2×C13×#125C2211yescharacteristic
19C2×C4×Q8×C13C2211yescharacteristic
20C2×Q8×Dic13C2211yescharacteristic
21C22×C8×D13C2211yescharacteristic
22C22×C8×D13C2211yescharacteristic
23D13×#125—24no—
24D13×#125C2218yes—
25C4×Q8×D13—24no—
26C4×Q8×D13C2218yes—
27C2×C4⋊C4×D13—21no—
28C2×C4⋊C4×D13—21no—
29C2×C4⋊C4×D13—21no—
30C2×C4⋊C4×D13C2211yescharacteristic
31C2×C4⋊C4×D13C2211yescharacteristic
32C2×C4⋊C4×D13C2211yescharacteristic
33C2×#88144C2211yescharacteristic
34C2×#88144C2211yescharacteristic
35C2×#88143—21no—
36C2×#88143—21no—
37C2×#88141—21no—
38C2×#88141C2211yescharacteristic
39C2×C42×D13—21no—
40C2×C42×D13C2211yescharacteristic
41C2×#88124C2211yescharacteristic
42C2×C4×Dic26—21no—
43C2×C4×Dic26C2211yescharacteristic
44C13×#479C2218yescomplemented
45C2×C13×#107C2211yescharacteristic
46C2×C13×#106C2211yescharacteristic
47C2×C13×C4⋊C8C2211yescharacteristic
48C2×C13×#103C2211yescharacteristic
49C2×C13×#103C2211yescharacteristic
50C2×#88075C2211yescharacteristic
51C2×#88075C2211yescharacteristic
52C2×#88058C2211yescharacteristic
53C2×#88057C2211yescharacteristic
54C2×#88056C2211yescharacteristic
55C2×#88056C2211yescharacteristic
56C2×#88054C2211yescharacteristic
57C2×#88054C2211yescharacteristic
58#11718724C2218yescomplemented
59#11718683C2218yescomplemented
60C2×#88050C2211yescharacteristic
61C2×#88050C2211yescharacteristic
62C2×#88048C2211yescharacteristic
63C2×#88048C2211yescharacteristic
64C2×#88047C2211yescharacteristic
65C2×#88047C2211yescharacteristic
66C2×C4⋊#1055C2211yescharacteristic
67D13×#107C2218yes—
68#11718538C2218yescomplemented
69D13×#106C2218yes—
70#11718518C2218yescomplemented
71D13×C4⋊C8C2218yes—
72#11718490C2218yescomplemented
73D13×#103C2218yes—
74D13×#103C2218yes—
75#11718460C2218yescomplemented
76#11718457C2218yescomplemented
77C22×Q8×C13C2311yescharacteristic
78C2×Q8×D13—22no—
79C2×Q8×D13—24no—
80C2×Q8×D13Q818yes—
81C2×Q8×D13C2314yes—
82C22×C4×D13—21no—
83C22×C4×D13—21no—
84C22×C4×D13—21no—
85C22×C4×D13—21no—
86C22×C4×D13D411yescharacteristic
87C22×C4×D13D411yescharacteristic
88C22×C4×D13C2311yescharacteristic
89C22×Dic26—21no—
90C22×Dic26C2311yescharacteristic
91C22×C8×C13C2311yescharacteristic
92C22×C8×C13C2311yescharacteristic
93C13×#125—22no—
94C13×#125C2314yes—
95C4×Q8×C13—22no—
96C4×Q8×C13C2314yes—
97C2×C13×C4⋊C4—21no—
98C2×C13×C4⋊C4—21no—
99C2×C13×C4⋊C4—21no—
100C2×C13×C4⋊C4C2311yescharacteristic
101C2×C13×C4⋊C4C2311yescharacteristic
102C2×C13×C4⋊C4C2311yescharacteristic
103C2×C42×C13—21no—
104C2×C42×C13C2311yescharacteristic
105Q8×Dic13—22no—
106Q8×Dic13C2314yes—
107C2×C4⋊Dic13—21no—
108C2×C4⋊Dic13—21no—
109C2×C4⋊Dic13—21no—
110C2×C4⋊Dic13C2311yescharacteristic
111C2×C4⋊Dic13C2311yescharacteristic
112C2×C4⋊Dic13C2311yescharacteristic
113C2×#6101—21no—
114C2×#6101—21no—
115C2×#6101—21no—
116C2×#6101—21no—
117C2×#6101—21no—
118C2×#6101—21no—
119C2×#6101—21no—
120C2×#6101—21no—
121C2×#6101—21no—
122C2×C4×Dic13—21no—
123C2×C4×Dic13—21no—
124C2×C4×Dic13—21no—
125C2×C4×Dic13D411yescharacteristic
126C2×C4×Dic13D411yescharacteristic
127C2×C4×Dic13C2311yescharacteristic
128C22×#1055C2311yescharacteristic
129C22×#1055C2311yescharacteristic
130C2×C8×D13—24no—
131C2×C8×D13—24no—
132C2×C8×D13C2314yes—
133C2×C8×D13C2314yes—
134C4⋊C4×D13—28no—
135C4⋊C4×D13—28no—
136C4⋊C4×D13—28no—
137C4⋊C4×D13—22no—
138C4⋊C4×D13—22no—
139C4⋊C4×D13—22no—
140C4⋊C4×D13C2314yes—
141C4⋊C4×D13C2314yes—
142C4⋊C4×D13C2314yes—
143#88144—22no—
144#88144—22no—
145#88144C2314yes—
146#88144C2314yes—
147#88143—28no—
148#88143—28no—
149#88141—28no—
150#88141—22no—
151#88141C2314yes—
152C42×D13—28no—
153C42×D13D414yes—
154C42×D13C2314yes—
155#88124—22no—
156#88124C2314yes—
157C4×Dic26—22no—
158C4×Dic26—28no—
159C4×Dic26C2314yes—
160C13×#107C2314yes—
161C13×#106C2314yes—
162C13×C4⋊C8C2314yes—
163C13×#103C2314yes—
164C13×#103C2314yes—
165#88075C2314yes—
166#88075C2314yes—
167#88058C2314yes—
168#88057C2314yes—
169#88056C2314yes—
170#88056C2314yes—
171#88054C2314yes—
172#88054C2314yes—
173#88050C2314yes—
174#88050C2314yes—
175#88048C2314yes—
176#88048C2314yes—
177#88047C2314yes—
178#88047C2314yes—
179C4⋊#1055C2314yes—
180C22×#479—131nomaximal, Sylow
181C23×D13C2×D411yescharacteristic
182C2×Q8×C13—21no—
183C2×Q8×C13—22no—
184C2×Q8×C13C2×Q814yes—
185C2×Q8×C13C2412yes—
186C22×C4×C13—21no—
187C22×C4×C13—21no—
188C22×C4×C13—21no—
189C22×C4×C13—21no—
190C22×C4×C13C2×D411yescharacteristic
191C22×C4×C13C2×D411yescharacteristic
192C22×C4×C13C2411yescharacteristic
193C22×Dic13—21no—
194C22×Dic13—21no—
195C22×Dic13—21no—
196C22×Dic13—21no—
197C22×Dic13C2×D411yescharacteristic
198C22×Dic13C2×D411yescharacteristic
199C22×Dic13C2×D411yescharacteristic
200Q8×D13—216no—
201Q8×D13—28no—
202Q8×D13C2×Q8116yes—
203C2×C4×D13—28no—
204C2×C4×D13—24no—
205C2×C4×D13—24no—
206C2×C4×D13—24no—
207C2×C4×D13—24no—
208C2×C4×D13—24no—
209C2×C4×D13—24no—
210C2×C4×D13—44no—
211C2×C4×D13—44no—
212C2×C4×D13—44no—
213C2×C4×D13C2×D414yes—
214C2×C4×D13C2×D414yes—
215C2×C4×D13C2×D412yes—
216C2×C4×D13C2×Q814yes—
217C2×C4×D13#4114yes—
218C2×C4×D13C2412yes—
219C2×Dic26—21no—
220C2×Dic26—22no—
221C2×Dic26—28no—
222C2×Dic26—24no—
223C2×Dic26C2×Q814yes—
224C2×Dic26C2412yes—
225C2×C8×C13—22no—
226C2×C8×C13—22no—
227C2×C8×C13C2412yes—
228C2×C8×C13C2412yes—
229C13×C4⋊C4—24no—
230C13×C4⋊C4—21no—
231C13×C4⋊C4—24no—
232C13×C4⋊C4—24no—
233C13×C4⋊C4—21no—
234C13×C4⋊C4—21no—
235C13×C4⋊C4C2412yes—
236C13×C4⋊C4C2412yes—
237C13×C4⋊C4C2412yes—
238C42×C13—24no—
239C42×C13C2×D412yes—
240C42×C13C2412yes—
241C4⋊Dic13—21no—
242C4⋊Dic13—21no—
243C4⋊Dic13—21no—
244C4⋊Dic13—24no—
245C4⋊Dic13—24no—
246C4⋊Dic13—24no—
247C4⋊Dic13C2412yes—
248C4⋊Dic13C2412yes—
249C4⋊Dic13C2412yes—
250#6101—24no—
251#6101—24no—
252#6101—24no—
253#6101—24no—
254#6101—24no—
255#6101—24no—
256#6101—24no—
257#6101—24no—
258#6101—24no—
259C4×Dic13—24no—
260C4×Dic13—24no—
261C4×Dic13—24no—
262C4×Dic13C2×D414yes—
263C4×Dic13C2×D412yes—
264C4×Dic13C2×D414yes—
265C4×Dic13C2412yes—
266C2×#1055—22no—
267C2×#1055—22no—
268C2×#1055C2412yes—
269C2×#1055C2412yes—
270C8×D13—28no—
271C8×D13—28no—
272C22×#125—131no—
273C22×C4×Q8—131no—
274C2×#479—1316no—
275C2×#479—131no—
276C2×#479—131no—
277C2×#479—131no—
278C2×#479—131no—
279C2×#479—131no—
280C2×#479—131no—
281C2×#479—131no—
282C2×#479D1311yescharacteristic, direct product factor
283C22×#107—131no—
284C22×#106—131no—
285C22×C4⋊C8—131no—
286C22×#103—131no—
287C22×#103—131no—
288C23×C13C22×D411yescharacteristic
289C22×D13C22⋊Q814yes—
290C22×D13#13514yes—
291C22×D13#13714yes—
292C22×D13C22×D412yes—
293Q8×C13—24no—
294Q8×C13—22no—
295Q8×C13C22×Q814yes—
296C2×C4×C13—24no—
297C2×C4×C13—22no—
298C2×C4×C13—22no—
299C2×C4×C13—22no—
300C2×C4×C13—22no—
301C2×C4×C13—22no—
302C2×C4×C13—22no—
303C2×C4×C13—42no—
304C2×C4×C13—42no—
305C2×C4×C13—42no—
306C2×C4×C13C22×D412yes—
307C2×C4×C13C22×D412yes—
308C2×C4×C13C22×D411yescharacteristic
309C2×C4×C13C22×Q812yes—
310C2×C4×C13C2×#4112yes—
311C2×C4×C13C2511yescharacteristic
312C2×Dic13—24no—
313C2×Dic13—22no—
314C2×Dic13—22no—
315C2×Dic13—22no—
316C2×Dic13—22no—
317C2×Dic13—22no—
318C2×Dic13—22no—
319C2×Dic13—42no—
320C2×Dic13—42no—
321C2×Dic13—42no—
322C2×Dic13C22⋊Q814yes—
323C2×Dic13C22×D412yes—
324C2×Dic13C22×D412yes—
325C2×Dic13C22×D412yes—
326C4×D13—216no—
327C4×D13—28no—
328C4×D13—28no—
329C4×D13—48no—
330C4×D13—48no—
331C4×D13—48no—
332C4×D13C22⋊Q818yes—
333C4×D13C22×Q814yes—
334C4×D13C2×#4114yes—
335Dic26—24no—
336Dic26—22no—
337Dic26—216no—
338Dic26C22×Q814yes—
339C8×C13—22no—
340C8×C13—22no—
341#1055—22no—
342#1055—22no—
343C23×Q8—131no—
344C23×C8—131no—
345C23×C8—131no—
346C2×#125—138no—
347C2×#125—131no—
348C2×#125—131no—
349C2×#125—131no—
350C2×#125—261no—
351C2×#125—261no—
352C2×#125—264no—
353C2×#125C2×D1311yescharacteristic
354C2×C4×Q8—131no—
355C2×C4×Q8—138no—
356C2×C4×Q8—131no—
357C2×C4×Q8—131no—
358C2×C4×Q8—261no—
359C2×C4×Q8—261no—
360C2×C4×Q8—264no—
361C2×C4×Q8C2×D1311yescharacteristic
362C22×C4⋊C4—131no—
363C22×C4⋊C4—131no—
364C22×C4⋊C4—131no—
365C22×C4⋊C4—261no—
366C22×C4⋊C4—261no—
367C22×C4⋊C4—261no—
368C22×C42—131no—
369C22×C42—261no—
370#479—138no—
371#479—138no—
372#479—138no—
373#479—138no—
374#479—138no—
375#479—138no—
376#479—138no—
377#479C2×D1318yesdirect product factor
378C2×#107—131no—
379C2×#107—131no—
380C2×#107—131no—
381C2×#107—138no—
382C2×#107C2×D1311yescharacteristic
383C2×#106—131no—
384C2×#106—131no—
385C2×#106—131no—
386C2×#106—138no—
387C2×#106C2×D1311yescharacteristic
388C2×C4⋊C8—131no—
389C2×C4⋊C8—131no—
390C2×C4⋊C8—131no—
391C2×C4⋊C8—138no—
392C2×C4⋊C8C2×D1311yescharacteristic
393C2×#103—131no—
394C2×#103—131no—
395C2×#103—131no—
396C2×#103—131no—
397C2×#103—131no—
398C2×#103—131no—
399C2×#103—138no—
400C2×#103—138no—
401C2×#103C2×D1311yescharacteristic
402C2×#103C2×D1311yescharacteristic
403C22×C13C2×C22⋊Q812yes—
404C22×C13C2×#13512yes—
405C22×C13C2×#13712yes—
406C22×C13C23×D411yescharacteristic
407C2×D13#479116yesdirect product factor
408C2×D13C2×C22⋊Q814yes—
409C2×D13C2×#13514yes—
410C2×D13C2×#13714yes—
411C4×C13—24no—
412C4×C13—22no—
413C4×C13—22no—
414C4×C13—42no—
415C4×C13—42no—
416C4×C13—42no—
417C4×C13C2×C22⋊Q812yes—
418C4×C13C23×Q811yescharacteristic
419C4×C13C22×#4111yescharacteristic
420Dic13—24no—
421Dic13—22no—
422Dic13—22no—
423Dic13—42no—
424Dic13—42no—
425Dic13—42no—
426Dic13C2×C22⋊Q814yes—
427C22×Q8—138no—
428C22×Q8—134no—
429C22×Q8—131no—
430C22×Q8—261no—
431C22×Q8—262no—
432C22×Q8—264no—
433C22×Q8C22×D1311yescharacteristic
434C23×C4—131no—
435C23×C4—131no—
436C23×C4—131no—
437C23×C4—261no—
438C23×C4—261no—
439C23×C4—261no—
440C23×C4—261no—
441C22×C8—131no—
442C22×C8—131no—
443C22×C8—134no—
444C22×C8—134no—
445C22×C8—264no—
446C22×C8—264no—
447C22×C8C22×D1311yescharacteristic
448C22×C8C22×D1311yescharacteristic
449#125—22no—
450#125—134no—
451#125—134no—
452#125—134no—
453#125—268no—
454#125—268no—
455#125—262no—
456#125—262no—
457#125—262no—
458#125C22×D1314yes—
459C4×Q8—22no—
460C4×Q8—134no—
461C4×Q8—134no—
462C4×Q8—134no—
463C4×Q8—268no—
464C4×Q8—268no—
465C4×Q8—262no—
466C4×Q8—262no—
467C4×Q8—262no—
468C4×Q8C22×D1314yes—
469C2×C4⋊C4—21no—
470C2×C4⋊C4—21no—
471C2×C4⋊C4—21no—
472C2×C4⋊C4—131no—
473C2×C4⋊C4—131no—
474C2×C4⋊C4—131no—
475C2×C4⋊C4—134no—
476C2×C4⋊C4—134no—
477C2×C4⋊C4—134no—
478C2×C4⋊C4—262no—
479C2×C4⋊C4—262no—
480C2×C4⋊C4—262no—
481C2×C4⋊C4—268no—
482C2×C4⋊C4—268no—
483C2×C4⋊C4—268no—
484C2×C4⋊C4—261no—
485C2×C4⋊C4—261no—
486C2×C4⋊C4—261no—
487C2×C4⋊C4—261no—
488C2×C4⋊C4—261no—
489C2×C4⋊C4—261no—
490C2×C4⋊C4—261no—
491C2×C4⋊C4—261no—
492C2×C4⋊C4—261no—
493C2×C4⋊C4—261no—
494C2×C4⋊C4—261no—
495C2×C4⋊C4—261no—
496C2×C4⋊C4C22×D1311yescharacteristic
497C2×C4⋊C4C22×D1311yescharacteristic
498C2×C4⋊C4C22×D1311yescharacteristic
499C2×C42—21no—
500C2×C42—131no—
501C2×C42—131no—
502C2×C42—131no—
503C2×C42—134no—
504C2×C42—134no—
505C2×C42—268no—
506C2×C42—261no—
507C2×C42—261no—
508C2×C42—261no—
509C2×C42C22×D1311yescharacteristic
510#107—134no—
511#107—134no—
512#107—134no—
513#107C22×D1314yes—
514#106—134no—
515#106—134no—
516#106—134no—
517#106C22×D1314yes—
518C4⋊C8—134no—
519C4⋊C8—134no—
520C4⋊C8—134no—
521C4⋊C8C22×D1314yes—
522#103—134no—
523#103—134no—
524#103—134no—
525#103—134no—
526#103—134no—
527#103—134no—
528#103C22×D1314yes—
529#103C22×D1314yes—
530C2×C13C2×#47914yescomplemented
531C2×C13C22×C22⋊Q811yescharacteristic
532C2×C13C22×#13511yescharacteristic
533C2×C13C22×#13711yescharacteristic
534D13C2×#47918yesdirect product factor
535C24—131no—
536C2×Q8—21no—
537C2×Q8—22no—
538C2×Q8—1316no—
539C2×Q8—134no—
540C2×Q8—132no—
541C2×Q8—264no—
542C2×Q8—268no—
543C2×Q8—2616no—
544C2×Q8—268no—
545C2×Q8—261no—
546C2×Q8—262no—
547C2×Q8Q8×D1314yes—
548C2×Q8C23×D1312yes—
549C22×C4—21no—
550C22×C4—21no—
551C22×C4—21no—
552C22×C4—21no—
553C22×C4—131no—
554C22×C4—132no—
555C22×C4—134no—
556C22×C4—134no—
557C22×C4—132no—
558C22×C4—131no—
559C22×C4—131no—
560C22×C4—134no—
561C22×C4—134no—
562C22×C4—264no—
563C22×C4—264no—
564C22×C4—264no—
565C22×C4—268no—
566C22×C4—264no—
567C22×C4—264no—
568C22×C4—264no—
569C22×C4—261no—
570C22×C4—261no—
571C22×C4—261no—
572C22×C4—261no—
573C22×C4—524no—
574C22×C4—524no—
575C22×C4—524no—
576C22×C4D4×D1311yescharacteristic
577C22×C4D4×D1311yescharacteristic
578C22×C4C23×D1311yescharacteristic
579C2×C8—22no—
580C2×C8—22no—
581C2×C8—132no—
582C2×C8—132no—
583C2×C8—268no—
584C2×C8—268no—
585C2×C8—262no—
586C2×C8—262no—
587C2×C8C23×D1312yes—
588C2×C8C23×D1312yes—
589C4⋊C4—24no—
590C4⋊C4—24no—
591C4⋊C4—24no—
592C4⋊C4—21no—
593C4⋊C4—21no—
594C4⋊C4—21no—
595C4⋊C4—132no—
596C4⋊C4—132no—
597C4⋊C4—132no—
598C4⋊C4—264no—
599C4⋊C4—264no—
600C4⋊C4—264no—
601C4⋊C4—264no—
602C4⋊C4—264no—
603C4⋊C4—264no—
604C4⋊C4—264no—
605C4⋊C4—264no—
606C4⋊C4—264no—
607C4⋊C4—261no—
608C4⋊C4—261no—
609C4⋊C4—261no—
610C4⋊C4—264no—
611C4⋊C4—264no—
612C4⋊C4—264no—
613C4⋊C4C23×D1312yes—
614C4⋊C4C23×D1312yes—
615C4⋊C4C23×D1312yes—
616C42—24no—
617C42—134no—
618C42—134no—
619C42—132no—
620C42—132no—
621C42—264no—
622C42—264no—
623C42—264no—
624C42D4×D1312yes—
625C42C23×D1312yes—
626C13C22×#47911yescharacteristic, complemented, Sylow
627C23—134no—
628C23—134no—
629C23—134no—
630C23—132no—
631C23C2×D4×D1311yescharacteristic
632Q8—24no—
633Q8—22no—
634Q8—134no—
635Q8—2616no—
636Q8—264no—
637Q8—262no—
638Q8C2×Q8×D1314yes—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—24no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—42no—
647C2×C4—42no—
648C2×C4—42no—
649C2×C4—134no—
650C2×C4—132no—
651C2×C4—138no—
652C2×C4—134no—
653C2×C4—134no—
654C2×C4—132no—
655C2×C4—132no—
656C2×C4—268no—
657C2×C4—268no—
658C2×C4—2616no—
659C2×C4—262no—
660C2×C4—262no—
661C2×C4—264no—
662C2×C4—262no—
663C2×C4—262no—
664C2×C4—262no—
665C2×C4—262no—
666C2×C4—528no—
667C2×C4—528no—
668C2×C4—528no—
669C2×C4—522no—
670C2×C4—522no—
671C2×C4—522no—
672C2×C4C2×D4×D1312yes—
673C2×C4C2×D4×D1312yes—
674C2×C4C2×D4×D1311yescharacteristic
675C2×C4C2×Q8×D1312yes—
676C2×C4#41×D1312yes—
677C2×C4C24×D1311yescharacteristic
678C8—22no—
679C8—22no—
680C8—262no—
681C8—262no—
682C22—1316no—
683C22—134no—
684C22—134no—
685C22—134no—
686C22D13×C22⋊Q812yes—
687C22D13×#13512yes—
688C22D13×#13712yes—
689C22C22×D4×D1311yescharacteristic
690C4—22no—
691C4—22no—
692C4—24no—
693C4—42no—
694C4—42no—
695C4—42no—
696C4—134no—
697C4—262no—
698C4—262no—
699C4—264no—
700C4—522no—
701C4—522no—
702C4—522no—
703C4D13×C22⋊Q812yes—
704C4C22×Q8×D1311yescharacteristic
705C4C2×#41×D1311yescharacteristic
706C2—138no—
707C2D13×#47914yesdirect product factor
708C2C2×D13×C22⋊Q811yescharacteristic
709C2C2×D13×#13511yescharacteristic
710C2C2×D13×#13711yescharacteristic
subgroupG/H
centerC23C2×D4×D13
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC2×C13×#479C2
socleC23×C13C22×D4
prime radicalC23×D13C2×D4
hypercenterC2×#479D13
hypocenterC13C22×#479
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#479

Complements

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

NH ≅ G/Ntype
3. C2×#11718518C2semidirect
4. C2×#11718457C2semidirect
5. C2×#11718490C2semidirect
6. C2×#11718683C2semidirect
7. C2×#11718538C2semidirect
8. C2×#11718460C2semidirect
9. C2×#11718724C2semidirect
10. D13×#479C2direct (N × H)
16. C2×C13×#479C2semidirect
44. C13×#479C22semidirect
58. #11718724C22semidirect
59. #11718683C22semidirect
68. #11718538C22semidirect
70. #11718518C22semidirect
72. #11718490C22semidirect
75. #11718460C22semidirect
76. #11718457C22semidirect
282. C2×#479D13direct (N × H)
377. #479C2×D13direct (N × H)
407. C2×D13#479direct (N × H)
530. C2×C13C2×#479semidirect
534. D13C2×#479direct (N × H)
626. C13C22×#479semidirect
707. C2D13×#479direct (N × H)

Maximal subgroups

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

subgroupindex
C2×D13×#1252
C2×C4×Q8×D132
C2×#117185182
C2×#117184572
C2×#117184902
C2×#117186832
C2×#117185382
C2×#117184602
C2×#117187242
D13×#4792
C2×D13×#1072
C2×D13×#1062
C2×D13×C4⋊C82
C2×D13×#1032
C2×C13×#4792
C22×#47913