Finite Group Databasebeta

← D13⋊#2935 #16808295

Subgroups — D13⋊#2935 #16808295

Order 3328.

2850 conjugacy classes of subgroups.

The subgroup lattice has 806 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D13⋊#131C212yesmaximal, complemented
2#13131582C212yesmaximal, complemented
3#13131581C214yesmaximal, complemented
4#13131580C214yesmaximal, complemented
5#13131579C212yesmaximal, complemented
6#13131578C214yesmaximal, complemented
7D13⋊#436C212yesmaximal, complemented
8D13⋊#435C214yesmaximal, complemented
9D4×D13⋊C8C212yesmaximal, complemented
10C2×D13⋊(C4⋊C8)C211yesmaximal, characteristic, complemented
11D13⋊#408C212yesmaximal, complemented
12C4×D13⋊M16C211yesmaximal, characteristic, complemented
13D13×#532C211yesmaximal, characteristic
14C2×#41×D13C2212yes—
15D13⋊#131—216no—
16C2×#88240C2214yescomplemented
17C2×#88238C2218yescomplemented
18C2×#88238C2214yescomplemented
19C2×D13⋊M16C2214yes—
20C2×D13⋊M16C2211yescharacteristic
21C2×D13⋊M16C2211yescharacteristic
22C22×D13⋊C8C2214yes—
23C22×D13⋊C8C2212yes—
24C13×#532C411yescharacteristic
25#11719537C412yes—
26#11719430C2211yescharacteristic
27D13×C4⋊Q8C411yescharacteristic
28#11719421C2211yescharacteristic
29D13×#127C411yescharacteristic
30D13×#124C412yes—
31#11719373C2212yes—
32D13×#121C412yes—
33D13×#121C412yes—
34#11719301C2212yes—
35#11719301C2212yes—
36#11719253C412yes—
37#11719253C412yes—
38C4×D4×D13C2212yes—
39C4×D4×D13C2212yes—
40#11719182C411yescharacteristic
41C2×C42×D13C2211yescharacteristic
42#11719159C2214yescomplemented
43#11719147C2214yescomplemented
44#11719146C2218yescomplemented
45#11719145C2214yescomplemented
46#11719144C2218yescomplemented
47D4×#1057C2214yescomplemented
48D13⋊(C22⋊C8)C2214yes—
49D13⋊(C22⋊C8)C2214yes—
50C2×#88112C2212yescomplemented
51C4×#6122C2212yescomplemented
52C4×#6122C2212yescomplemented
53C2×C4⋊#1057C2212yescomplemented
54#11719076C2214yescomplemented
55#11719075C2218yescomplemented
56#11719073C2214yescomplemented
57#11719066C2218yescomplemented
58#11719065C2218yescomplemented
59#11719064C2218yescomplemented
60#11719063C2218yescomplemented
61D13⋊(C4⋊C8)C2211yescharacteristic
62D13⋊(C4⋊C8)C2212yes—
63D13⋊(C4⋊C8)C2211yescharacteristic
64D13⋊(C4⋊C8)C2212yescomplemented
65D13⋊(C4⋊C8)C2212yescomplemented
66C4×#6118C2212yescomplemented
67C4×#6118C2212yescomplemented
68#11719047C2212yes—
69C4×D13⋊C8C2212yes—
70C2×C13×#41C2×C412yes—
71#41×D13—28no—
72#41×D13—28no—
73C2×#6131C2312yes—
74C2×Q8×D13C2×C412yes—
75C2×#6129C2314yes—
76C2×#6129C2312yes—
77C2×D4×D13C2×C412yes—
78C2×D4×D13C2×C414yes—
79C2×D4×D13C2×C412yes—
80C2×D4×D13C2×C412yes—
81C2×#6127C2×C412yes—
82C2×#6127C2×C414yes—
83C22×C4×D13C2×C411yescharacteristic
84C22×C4×D13C2×C411yescharacteristic
85C22×C4×D13C2314yes—
86C22×C4×D13C2311yescharacteristic
87C2×#6122C2318yes—
88C2×#6122C2312yes—
89C2×#6122C2312yes—
90C22×#1057C2318yes—
91C22×#1057C2314yes—
92#88240—216no—
93#88238—232no—
94#88238—216no—
95D13⋊M16—24no—
96D13⋊M16—216no—
97D13⋊M16D418yescomplemented
98C2×#6118C2312yes—
99C2×#6118C2318yes—
100C2×#6118C2312yes—
101C2×D13⋊C8—28no—
102C2×D13⋊C8—216no—
103C2×D13⋊C8C2312yes—
104C2×D13⋊C8C2312yes—
105C2×D13⋊C8C2312yes—
106C2×D13⋊C8C2314yes—
107C2×D13⋊C8C2318yes—
108C2×D13⋊C8C2312yes—
109C13×C4⋊Q8C2×C411yescharacteristic
110C13×#127C2×C411yescharacteristic
111C13×#124C2×C412yes—
112C13×#121C2×C412yes—
113C13×#121C2×C412yes—
114C4×D4×C13C2×C412yes—
115C4×D4×C13C2×C412yes—
116C2×C42×C13C2×C411yescharacteristic
117#88201C2×C412yes—
118#88198C2×C412yes—
119#88194C2×C412yes—
120#88194C2×C412yes—
121#88194C2×C412yes—
122#88193C2×C414yes—
123#88193C2×C414yes—
124#88192C2×C412yes—
125#88192C2×C412yes—
126#88190C2×C412yes—
127D4×Dic13C2312yes—
128D4×Dic13C2312yes—
129#88184C2×C412yes—
130#88184C2×C412yes—
131C4×C22⋊D13C2×C414yes—
132C4×C22⋊D13C2×C414yes—
133C2×C4×Dic13C2×C411yescharacteristic
134C2×C4×Dic13C2311yescharacteristic
135C2×C4×Dic13C2311yescharacteristic
136#88149C2×C412yes—
137#88149C2×C412yes—
138#88147C2312yes—
139#88147C2312yes—
140C4⋊C4×D13C2×C412yes—
141C4⋊C4×D13C2×C412yes—
142#88142C2×C412yes—
143#88142C2×C412yes—
144#88139C2×C414yes—
145#88139C2×C414yes—
146#88138C2×C414yes—
147#88138C2×C414yes—
148#88135C2314yes—
149#88135C2314yes—
150C22⋊C4×D13C2×C414yes—
151C22⋊C4×D13C2×C414yes—
152#88129C2×C412yes—
153#88128C2×C411yescharacteristic
154C4×D52C2×C412yes—
155C4×D52C2×C412yes—
156C42×D13C2×C411yescharacteristic
157C42×D13C2×C411yescharacteristic
158C42×D13C2×C411yescharacteristic
159C42×D13C2×C411yescharacteristic
160C42×D13C2311yescharacteristic
161C42×D13C2311yescharacteristic
162C42×D13C2311yescharacteristic
163C42×D13C2311yescharacteristic
164#88123C2×C411yescharacteristic
165C22⋊#1057C2318yes—
166C22⋊#1057C2318yes—
167#88112C2312yes—
168#88112C2312yes—
169#88112C2314yes—
170#88111C2318yes—
171#88111C2318yes—
172#88110C2314yes—
173#88110C2314yes—
174C4⋊#1057C2314yes—
175C4⋊#1057C2312yes—
176C4⋊#1057C2312yes—
177C4×#1057C2314yes—
178C4×#1057C2314yes—
179C2×#2935—131nomaximal, Sylow
180C23×D13C22×C414yes—
181C23×D13C22×C411yescharacteristic
182C13×#41—28no—
183C2×Q8×C13C22×C412yes—
184C2×D4×C13C22×C412yes—
185C2×D4×C13C22×C412yes—
186C2×D4×C13C22×C414yes—
187C2×D4×C13C22×C412yes—
188C22×C4×C13C22×C411yescharacteristic
189C22×C4×C13C22×C414yes—
190C22×C4×C13C22×C411yescharacteristic
191C22×C4×C13C22×C411yescharacteristic
192C2×C22⋊D13C22×C414yes—
193C2×C22⋊D13C22×C414yes—
194C2×C22⋊D13C22×C414yes—
195C2×C22⋊D13C22×C414yes—
196C2×C22⋊D13C22×C414yes—
197C22×Dic13C22×C411yescharacteristic
198C22×Dic13C22×C411yescharacteristic
199C22×Dic13C2414yes—
200C22×Dic13C2411yescharacteristic
201#6131—24no—
202#6131—24no—
203Q8×D13—28no—
204#6129—28no—
205#6129—28no—
206#6129—24no—
207#6129—24no—
208D4×D13—216no—
209D4×D13—28no—
210D4×D13—28no—
211D4×D13—44no—
212#6127—28no—
213#6127—216no—
214C2×D52C22×C412yes—
215C2×D52C22×C412yes—
216C2×D52C22×C414yes—
217C2×D52C22×C412yes—
218C2×C4×D13—24no—
219C2×C4×D13—28no—
220C2×C4×D13—28no—
221C2×C4×D13—42no—
222C2×C4×D13C22×C411yescharacteristic
223C2×C4×D13C22×C411yescharacteristic
224C2×C4×D13C22×C411yescharacteristic
225C2×C4×D13C22×C411yescharacteristic
226C2×C4×D13C22×C411yescharacteristic
227C2×C4×D13C22×C414yes—
228C2×C4×D13C22×C414yes—
229C2×C4×D13C22×C411yescharacteristic
230C2×C4×D13C22×C411yescharacteristic
231C2×C4×D13C22×C411yescharacteristic
232C2×C4×D13C22×C411yescharacteristic
233C2×C4×D13C22×C411yescharacteristic
234C2×C4×D13C2×D414yes—
235C2×C4×D13#4114yes—
236C2×C4×D13C2414yes—
237C2×C4×D13C2411yescharacteristic
238C2×C4×D13C2411yescharacteristic
239C2×Dic26C22×C412yes—
240C2×Dic26C22×C414yes—
241#6122—24no—
242#6122—216no—
243#6122C2×D418yescomplemented
244C2×#1057—28no—
245C2×#1057—216no—
246C2×#1057C2414yes—
247C2×#1057C2414yes—
248C2×#1057C2414yes—
249C2×#1057C2414yes—
250#6118—24no—
251#6118—216no—
252#6118C2×D418yescomplemented
253D13⋊C8—24no—
254D13⋊C8—24no—
255D13⋊C8—28no—
256D13⋊C8—24no—
257D13⋊C8—216no—
258D13⋊C8C2×D418yes—
259C13×C4⋊C4C22×C412yes—
260C13×C4⋊C4C22×C412yes—
261C13×C22⋊C4C22×C414yes—
262C13×C22⋊C4C22×C414yes—
263C42×C13C22×C411yescharacteristic
264C42×C13C22×C411yescharacteristic
265C42×C13C22×C411yescharacteristic
266C42×C13C22×C411yescharacteristic
267C22⋊Dic13C22×C414yes—
268C22⋊Dic13C22×C414yes—
269#6103C22×C414yes—
270#6103C22×C414yes—
271#6103C22×C414yes—
272#6103C22×C414yes—
273C4⋊Dic13C22×C412yes—
274C4⋊Dic13C22×C412yes—
275#6101C22×C414yes—
276#6101C22×C414yes—
277C4×Dic13C22×C411yescharacteristic
278C4×Dic13C22×C411yescharacteristic
279C4×Dic13C22×C411yescharacteristic
280C4×Dic13C22×C411yescharacteristic
281C4×Dic13C22×C411yescharacteristic
282C4×Dic13C22×C411yescharacteristic
283C4×Dic13C22×C411yescharacteristic
284C4×Dic13C22×C411yescharacteristic
285C4×Dic13C2411yescharacteristic
286C4×Dic13C2411yescharacteristic
287C4×Dic13C2411yescharacteristic
288C4×Dic13C2411yescharacteristic
289C22×#131—132no—
290C2×#532—131no—
291#2935—134no—
292#2935—132no—
293#2935—134no—
294#2935—134no—
295#2935—132no—
296C2×#436—132no—
297C2×#435—134no—
298C2×C8×D4—132no—
299C22×C4⋊C8—131no—
300C2×#408—132no—
301C2×C4×M16—131no—
302C23×C13C23×C414yes—
303C23×C13C23×C411yescharacteristic
304C22×D13—22no—
305C22×D13—22no—
306C22×D13—28no—
307C22×D13—28no—
308C22×D13—28no—
309C22×D13C4×D414yes—
310C22×D13C23×C414yes—
311C22×D13C23×C411yescharacteristic
312C22×D13C23×C411yescharacteristic
313Q8×C13—24no—
314D4×C13—28no—
315D4×C13—24no—
316D4×C13—24no—
317D4×C13—42no—
318C2×C4×C13—28no—
319C2×C4×C13—22no—
320C2×C4×C13—41no—
321C2×C4×C13C4×D414yes—
322C2×C4×C13C23×C411yescharacteristic
323C2×C4×C13C23×C411yescharacteristic
324C2×C4×C13C23×C411yescharacteristic
325C2×C4×C13C23×C414yes—
326C2×C4×C13C23×C411yescharacteristic
327C2×C4×C13C23×C411yescharacteristic
328C2×C4×C13C23×C411yescharacteristic
329C22⋊D13—28no—
330C22⋊D13—28no—
331C22⋊D13—28no—
332C22⋊D13—28no—
333C22⋊D13—44no—
334C2×Dic13—22no—
335C2×Dic13—24no—
336C2×Dic13—24no—
337C2×Dic13—41no—
338C2×Dic13C23×C411yescharacteristic
339C2×Dic13C23×C411yescharacteristic
340C2×Dic13C23×C411yescharacteristic
341C2×Dic13C23×C414yes—
342C2×Dic13C23×C411yescharacteristic
343C2×Dic13C23×C411yescharacteristic
344C2×Dic13C22×D412yes—
345C2×Dic13C2×#4112yes—
346C2×Dic13C2511yescharacteristic
347D52—28no—
348D52—24no—
349D52—24no—
350D52—42no—
351C4×D13—28no—
352C4×D13—22no—
353C4×D13—22no—
354C4×D13—22no—
355C4×D13—28no—
356C4×D13—22no—
357C4×D13—22no—
358C4×D13—24no—
359C4×D13—24no—
360C4×D13—41no—
361C4×D13—41no—
362C4×D13C4×D414yes—
363C4×D13C4×D414yes—
364C4×D13#13114yescomplemented
365C4×D13C22×D412yes—
366C4×D13C22×D412yes—
367C4×D13C2×#4112yes—
368C4×D13C2×#4112yes—
369Dic26—24no—
370Dic26—28no—
371#1057—24no—
372#1057—24no—
373#1057—24no—
374#1057C22×D418yes—
375C22×#41—132no—
376C2×#131—134no—
377C2×#131—138no—
378C2×#131—134no—
379C2×#131—2616no—
380C22×M16—131no—
381C22×M16—131no—
382C22×M16—134no—
383C23×C8—132no—
384C23×C8—134no—
385#532—132no—
386#532—131no—
387#532—131no—
388#532—132no—
389#532—132no—
390#532—132no—
391#532—132no—
392#532—132no—
393#532—131no—
394#532#26111yescharacteristic
395C2×C4⋊Q8—131no—
396C2×#127—131no—
397C2×#124—132no—
398C2×#121—132no—
399C2×#121—132no—
400C2×C4×D4—132no—
401C2×C4×D4—132no—
402C22×C42—131no—
403#436—138no—
404#436—134no—
405#436—134no—
406#435—138no—
407#435—138no—
408#435—138no—
409#435—138no—
410C8×D4—138no—
411C8×D4—134no—
412C8×D4—134no—
413C2×C4⋊C8—131no—
414C2×C4⋊C8—132no—
415C2×C4⋊C8—131no—
416C2×C4⋊C8—132no—
417C2×C4⋊C8—132no—
418C2×C4⋊C8—132no—
419C2×C4⋊C8—132no—
420#408—138no—
421#408—134no—
422#408—134no—
423C2×C22⋊C8—134no—
424C2×C22⋊C8—134no—
425C4×M16—132no—
426C4×M16—132no—
427C4×M16—132no—
428C4×M16—132no—
429C2×#97—132no—
430C2×C4×C8—132no—
431C22×C13—21no—
432C22×C13—21no—
433C22×C13—24no—
434C22×C13—24no—
435C22×C13—24no—
436C22×C13C2×C4×D412yes—
437C22×C13C24×C411yescharacteristic
438C2×D13—21no—
439C2×D13—21no—
440C2×D13—28no—
441C2×D13—24no—
442C2×D13—24no—
443C2×D13—24no—
444C2×D13—416no—
445C2×D13C2×C4×D412yes—
446C2×D13C2×C4×D412yes—
447C2×D13C2×#13112yes—
448C2×D13#56812yes—
449C4×C13—24no—
450C4×C13—21no—
451C4×C13—21no—
452C4×C13—21no—
453C4×C13C2×C4×D412yes—
454C4×C13C2×C4×D412yes—
455C4×C13C2×#13112yescomplemented
456Dic13—24no—
457Dic13—21no—
458Dic13—21no—
459Dic13—21no—
460Dic13C2×C4×D412yes—
461Dic13C2×#13112yescomplemented
462Dic13C23×D411yescharacteristic
463Dic13C22×#4111yescharacteristic
464C2×#41—132no—
465C2×#41—134no—
466C2×#41—132no—
467C2×#41—134no—
468C2×#41—132no—
469C2×#41—268no—
470C2×#41—268no—
471C2×#41C2×#26112yes—
472C22×Q8—132no—
473C22×D4—132no—
474C22×D4—134no—
475C22×D4—132no—
476C22×D4—132no—
477C23×C4—131no—
478C23×C4—134no—
479C23×C4—131no—
480C23×C4—131no—
481#131—2632no—
482#131—2616no—
483#131—2616no—
484C2×M16—132no—
485C2×M16—132no—
486C2×M16—138no—
487C2×M16—138no—
488C2×M16—138no—
489C2×M16—132no—
490C2×M16—132no—
491C2×M16—2616no—
492C2×M16—264no—
493C22×C8—132no—
494C22×C8—132no—
495C22×C8—132no—
496C22×C8—134no—
497C22×C8—134no—
498C22×C8—138no—
499C22×C8—138no—
500C22×C8—132no—
501C22×C8—2616no—
502C22×C8—268no—
503C4⋊Q8—132no—
504C4⋊Q8—132no—
505C4⋊Q8—132no—
506C4⋊Q8—131no—
507C4⋊Q8C2×#26111yescharacteristic
508#127—132no—
509#127—132no—
510#127—132no—
511#127—131no—
512#127C2×#26111yescharacteristic
513#124—132no—
514#124—132no—
515#124—134no—
516#124—134no—
517#124—132no—
518#124C2×#26112yes—
519#121—132no—
520#121—132no—
521#121—134no—
522#121—134no—
523#121—132no—
524#121—132no—
525#121—132no—
526#121—132no—
527#121—134no—
528#121—134no—
529#121C2×#26112yes—
530#121C2×#26112yes—
531C4×D4—132no—
532C4×D4—132no—
533C4×D4—134no—
534C4×D4—134no—
535C4×D4—132no—
536C4×D4—132no—
537C4×D4—134no—
538C4×D4—134no—
539C4×D4—132no—
540C4×D4—132no—
541C4×D4C2×#26112yes—
542C4×D4C2×#26112yes—
543C2×C4⋊C4—132no—
544C2×C4⋊C4—132no—
545C2×C22⋊C4—134no—
546C2×C22⋊C4—134no—
547C2×C42—131no—
548C2×C42—131no—
549C2×C42—131no—
550C2×C42—131no—
551C2×C42—131no—
552C2×C42—131no—
553C2×C42—131no—
554C2×C42—131no—
555C2×C42—131no—
556C2×C42—131no—
557C2×C42—131no—
558C2×C42C2×#26111yescharacteristic
559C4⋊C8—132no—
560C4⋊C8—134no—
561C4⋊C8—132no—
562C4⋊C8—132no—
563C4⋊C8—134no—
564C4⋊C8—132no—
565C22⋊C8—138no—
566C22⋊C8—138no—
567C22⋊C8—138no—
568C22⋊C8—138no—
569#97—134no—
570#97—134no—
571C4×C8—134no—
572C4×C8—134no—
573C2×C13—22no—
574C2×C13—44no—
575C2×C13C22×C4×D411yescharacteristic
576C2×C13C22×#13111yescharacteristic
577C2×C13C2×#56811yescharacteristic
578D13—22no—
579D13—44no—
580D13#293514yescomplemented
581C24—131no—
582C24—134no—
583#41—28no—
584#41—2616no—
585#41—268no—
586#41—264no—
587#41—268no—
588#41—264no—
589#41—264no—
590#41—264no—
591#41—268no—
592C2×Q8—134no—
593C2×Q8—132no—
594C2×Q8—268no—
595C2×Q8C22×#26112yes—
596C2×D4—134no—
597C2×D4—134no—
598C2×D4—134no—
599C2×D4—134no—
600C2×D4—134no—
601C2×D4—132no—
602C2×D4—134no—
603C2×D4—132no—
604C2×D4—132no—
605C2×D4—268no—
606C2×D4—268no—
607C2×D4—2616no—
608C2×D4—524no—
609C2×D4C22×#26112yes—
610C2×D4C22×#26114yes—
611C2×D4C22×#26112yes—
612C2×D4C22×#26112yes—
613C22×C4—131no—
614C22×C4—134no—
615C22×C4—134no—
616C22×C4—131no—
617C22×C4—131no—
618C22×C4—131no—
619C22×C4—131no—
620C22×C4—131no—
621C22×C4—134no—
622C22×C4—131no—
623C22×C4—131no—
624C22×C4—134no—
625C22×C4—131no—
626C22×C4—131no—
627C22×C4—131no—
628C22×C4—131no—
629C22×C4—131no—
630C22×C4—134no—
631C22×C4—134no—
632C22×C4—131no—
633C22×C4—131no—
634C22×C4—268no—
635C22×C4—268no—
636C22×C4—264no—
637C22×C4—522no—
638C22×C4C22×#26111yescharacteristic
639C22×C4C22×#26114yes—
640C22×C4C22×#26111yescharacteristic
641C22×C4C22×#26111yescharacteristic
642M16—138no—
643M16—138no—
644M16—2616no—
645M16—2616no—
646M16—264no—
647M16—264no—
648C2×C8—134no—
649C2×C8—138no—
650C2×C8—134no—
651C2×C8—134no—
652C2×C8—134no—
653C2×C8—2616no—
654C2×C8—2616no—
655C2×C8—264no—
656C2×C8—264no—
657C2×C8—268no—
658C2×C8—268no—
659C2×C8—264no—
660C4⋊C4—134no—
661C4⋊C4—134no—
662C4⋊C4—132no—
663C4⋊C4—132no—
664C4⋊C4C22×#26112yes—
665C4⋊C4C22×#26112yes—
666C22⋊C4—134no—
667C22⋊C4—134no—
668C22⋊C4—134no—
669C22⋊C4—134no—
670C22⋊C4—134no—
671C22⋊C4—134no—
672C22⋊C4C22×#26114yes—
673C22⋊C4C22×#26114yes—
674C42—131no—
675C42—131no—
676C42—131no—
677C42—131no—
678C42—131no—
679C42—131no—
680C42—131no—
681C42—131no—
682C42—131no—
683C42—131no—
684C42—131no—
685C42—131no—
686C42C22×#26111yescharacteristic
687C42C22×#26111yescharacteristic
688C42C22×#26111yescharacteristic
689C42C22×#26111yescharacteristic
690C13C2×#293511yescharacteristic, complemented, Sylow
691C23—131no—
692C23—134no—
693C23—131no—
694C23—134no—
695C23—262no—
696C23—262no—
697C23—268no—
698C23—268no—
699C23—268no—
700C23C23×#26114yes—
701C23C23×#26111yescharacteristic
702Q8—24no—
703Q8—268no—
704Q8—264no—
705D4—28no—
706D4—24no—
707D4—24no—
708D4—42no—
709D4—268no—
710D4—268no—
711D4—268no—
712D4—268no—
713D4—268no—
714D4—264no—
715D4—264no—
716D4—522no—
717D4—524no—
718C2×C4—28no—
719C2×C4—22no—
720C2×C4—41no—
721C2×C4—132no—
722C2×C4—132no—
723C2×C4—131no—
724C2×C4—131no—
725C2×C4—131no—
726C2×C4—132no—
727C2×C4—132no—
728C2×C4—132no—
729C2×C4—132no—
730C2×C4—134no—
731C2×C4—134no—
732C2×C4—134no—
733C2×C4—131no—
734C2×C4—131no—
735C2×C4—131no—
736C2×C4—134no—
737C2×C4—264no—
738C2×C4—262no—
739C2×C4—264no—
740C2×C4—262no—
741C2×C4—268no—
742C2×C4—262no—
743C2×C4—262no—
744C2×C4—264no—
745C2×C4—262no—
746C2×C4—264no—
747C2×C4—268no—
748C2×C4—262no—
749C2×C4—521no—
750C2×C4—521no—
751C2×C4—521no—
752C2×C4D4×#26114yes—
753C2×C4C23×#26111yescharacteristic
754C2×C4C23×#26111yescharacteristic
755C2×C4C23×#26111yescharacteristic
756C2×C4C23×#26114yes—
757C2×C4C23×#26111yescharacteristic
758C2×C4C23×#26111yescharacteristic
759C2×C4C23×#26111yescharacteristic
760C8—138no—
761C8—264no—
762C8—264no—
763C8—264no—
764C22—21no—
765C22—21no—
766C22—24no—
767C22—24no—
768C22—24no—
769C22—132no—
770C22—132no—
771C22—132no—
772C22—132no—
773C22—268no—
774C22—261no—
775C22—261no—
776C22—264no—
777C22—264no—
778C22—264no—
779C22—5216no—
780C22C2×D4×#26112yes—
781C22C24×#26111yescharacteristic
782C4—24no—
783C4—21no—
784C4—21no—
785C4—21no—
786C4—132no—
787C4—131no—
788C4—131no—
789C4—132no—
790C4—264no—
791C4—261no—
792C4—261no—
793C4—261no—
794C4C2×D4×#26112yes—
795C4C2×D4×#26112yes—
796C4D13⋊#13112yescomplemented
797C2—22no—
798C2—44no—
799C2—134no—
800C2—262no—
801C2—524no—
802C2C22×D4×#26111yescharacteristic
803C2C2×D13⋊#13111yescharacteristic
804C2D13⋊#56811yescharacteristic
subgroupG/H
centerC2×C4C23×#261
commutator, socleC22×C13C24×C4
FrattiniC22C24×#261
FittingC13×#532C4
prime radicalD13×#532C2
cosocleC2×Dic13C25
hypercenter#532#261
hypocenterC13C2×#2935
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C2×C4 ◁ #532

Complements

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

NH ≅ G/Ntype
1. C2×D13⋊#131C2semidirect
2. #13131582C2semidirect
3. #13131581C2semidirect
4. #13131580C2semidirect
5. #13131579C2semidirect
6. #13131578C2semidirect
7. D13⋊#436C2semidirect
8. D13⋊#435C2semidirect
9. D4×D13⋊C8C2semidirect
10. C2×D13⋊(C4⋊C8)C2semidirect
11. D13⋊#408C2semidirect
12. C4×D13⋊M16C2semidirect
16. C2×#88240C22semidirect
17. C2×#88238C22semidirect
18. C2×#88238C22semidirect
42. #11719159C22semidirect
43. #11719147C22semidirect
44. #11719146C22semidirect
45. #11719145C22semidirect
46. #11719144C22semidirect
47. D4×#1057C22semidirect
50. C2×#88112C22semidirect
51. C4×#6122C22semidirect
52. C4×#6122C22semidirect
53. C2×C4⋊#1057C22semidirect
54. #11719076C22semidirect
55. #11719075C22semidirect
56. #11719073C22semidirect
57. #11719066C22semidirect
58. #11719065C22semidirect
59. #11719064C22semidirect
60. #11719063C22semidirect
64. D13⋊(C4⋊C8)C22semidirect
65. D13⋊(C4⋊C8)C22semidirect
66. C4×#6118C22semidirect
67. C4×#6118C22semidirect
97. D13⋊M16D4semidirect
243. #6122C2×D4semidirect
252. #6118C2×D4semidirect
364. C4×D13#131semidirect
455. C4×C13C2×#131semidirect
461. Dic13C2×#131semidirect
580. D13#2935semidirect
690. C13C2×#2935semidirect
796. C4D13⋊#131semidirect

Maximal subgroups

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

subgroupindex
C2×D13⋊#1312
#131315822
#131315812
#131315802
#131315792
#131315782
D13⋊#4362
D13⋊#4352
D4×D13⋊C82
C2×D13⋊(C4⋊C8)2
D13⋊#4082
C4×D13⋊M162
D13×#5322
C2×#293513