Finite Group Databasebeta

← D13⋊#2880 #16808047

Subgroups — D13⋊#2880 #16808047

Order 3328.

5206 conjugacy classes of subgroups.

The subgroup lattice has 738 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D13⋊#131C212yesmaximal, complemented
2#13131427C212yesmaximal, complemented
3#13131426C216yesmaximal, complemented
4#13131425C212yesmaximal, complemented
5#13131424C216yesmaximal, complemented
6D13⋊#408C216yesmaximal, complemented
7D13⋊#407C213yesmaximal, complemented
8C2×D13⋊(C22⋊C8)C213yesmaximal, complemented
9C22×#41×D13C211yesmaximal, characteristic
10C22×C13×#41C411yescharacteristic
11C2×#41×D13—216no—
12C2×#41×D13C411yescharacteristic
13C2×#41×D13C411yescharacteristic
14C2×#41×D13C413yes—
15C2×#41×D13C413yes—
16C2×#41×D13C2213yes—
17C2×#41×D13C2213yes—
18C2×#41×D13C2211yescharacteristic
19C2×#41×D13C2211yescharacteristic
20C22×#6131C2211yescharacteristic
21C22×Q8×D13C411yescharacteristic
22C22×#6129C2213yes—
23C22×D4×D13C413yes—
24C22×#6127C413yes—
25C23×C4×D13C2213yes—
26D13⋊#131—216no—
27C2×#88240C2214yescomplemented
28C2×#88238C22112yescomplemented
29C2×D13⋊M16C2216yescomplemented
30C22×D13⋊C8C2216yescomplemented
31#11719169C2216yescomplemented
32C2×C22⋊#1057C2216yescomplemented
33#11719159C22112yescomplemented
34#11719147C22112yescomplemented
35#11719146C22124yescomplemented
36#11719127C2216yescomplemented
37#11719127C2216yescomplemented
38#11719126C2216yescomplemented
39D13⋊(C22⋊C8)C2211yescharacteristic
40D13⋊(C22⋊C8)C2213yes—
41D13⋊(C22⋊C8)C2216yescomplemented
42D13⋊(C22⋊C8)C2216yescomplemented
43D13⋊(C22⋊C8)C2216yescomplemented
44D13⋊(C22⋊C8)C2216yescomplemented
45C2×#88111C2216yescomplemented
46C24×D13C2×C413yes—
47C2×C13×#41—28no—
48C2×C13×#41C2×C411yescharacteristic
49C2×C13×#41C2×C413yes—
50C2×C13×#41C2×C413yes—
51C2×C13×#41C2×C411yescharacteristic
52C22×Q8×C13C2×C411yescharacteristic
53C22×D4×C13C2×C413yes—
54C23×C4×C13C2×C413yes—
55C22×C22⋊D13C2×C416yes—
56C23×Dic13C2313yes—
57#41×D13—28no—
58#41×D13—28no—
59#41×D13—28no—
60#41×D13—224no—
61#41×D13—224no—
62#41×D13—224no—
63#41×D13—224no—
64#41×D13D4116yes—
65C2×#6131—28no—
66C2×#6131C2×C411yescharacteristic
67C2×#6131C2×C413yes—
68C2×#6131C2313yes—
69C2×#6131C2311yescharacteristic
70C2×Q8×D13—28no—
71C2×Q8×D13C2×C411yescharacteristic
72C2×Q8×D13C2×C413yes—
73C2×Q8×D13C2×C413yes—
74C2×Q8×D13C2×C411yescharacteristic
75C2×#6129—224no—
76C2×#6129C2×C413yes—
77C2×#6129C2×C416yes—
78C2×#6129C2×C413yes—
79C2×#6129C2316yes—
80C2×#6129C2313yes—
81C2×#6129C2313yes—
82C2×D4×D13—224no—
83C2×D4×D13C2×C416yes—
84C2×D4×D13C2×C413yes—
85C2×D4×D13C2×C416yes—
86C2×D4×D13C2×C413yes—
87C2×D4×D13C2×C413yes—
88C2×D4×D13C2×C413yes—
89C2×#6127—224no—
90C2×#6127C2×C413yes—
91C2×#6127C2×C416yes—
92C2×#6127C2×C413yes—
93C2×#6127C2×C416yes—
94C2×#6127C2×C413yes—
95C2×#6127C2×C413yes—
96C22×D52C2×C413yes—
97C22×C4×D13—224no—
98C22×C4×D13C2×C413yes—
99C22×C4×D13C2×C413yes—
100C22×C4×D13C2×C413yes—
101C22×C4×D13C2×C413yes—
102C22×C4×D13C2×C413yes—
103C22×C4×D13C2×C413yes—
104C22×C4×D13C2313yes—
105C22×C4×D13C2311yescharacteristic
106C22×C4×D13C2313yes—
107C22×C4×D13C2313yes—
108C22×C4×D13C2313yes—
109C22×C4×D13C2313yes—
110C22×Dic26C2×C413yes—
111C2×#6122C23112yescomplemented
112C22×#1057C23112yescomplemented
113#88240—216no—
114#88238—248no—
115D13⋊M16—224no—
116C2×#6118C23112yescomplemented
117C2×D13⋊C8—224no—
118C2×D13⋊C8C2312yes—
119C2×D13⋊C8C2316yes—
120C2×D13⋊C8C23112yescomplemented
121C22⋊#1057C2312yes—
122C22⋊#1057C2316yes—
123C22⋊#1057C23112yescomplemented
124C22⋊#1057C23112yescomplemented
125#88111C2312yes—
126#88111C2316yes—
127#88111C23112yescomplemented
128#88111C23112yescomplemented
129C2×#2880—131nomaximal, Sylow
130C24×C13C22×C413yes—
131C23×D13—212no—
132C23×D13—212no—
133C23×D13—46no—
134C23×D13C22×C413yes—
135C23×D13C22×C413yes—
136C23×D13C22×C413yes—
137C23×D13C22×C413yes—
138C23×D13C22×C413yes—
139C23×D13C22×C411yescharacteristic
140C13×#41—24no—
141C13×#41—212no—
142C13×#41—212no—
143C13×#41C22⋊C418yes—
144C2×Q8×C13—24no—
145C2×Q8×C13C22×C413yes—
146C2×Q8×C13C22×C411yescharacteristic
147C2×D4×C13—212no—
148C2×D4×C13C22×C416yes—
149C2×D4×C13C22×C413yes—
150C2×D4×C13C22×C413yes—
151C22×C4×C13—212no—
152C22×C4×C13C22×C413yes—
153C22×C4×C13C22×C411yescharacteristic
154C22×C4×C13C22×C413yes—
155C22×C4×C13C22×C413yes—
156C22×C4×C13C22×C413yes—
157C22×C4×C13C22×C413yes—
158C2×C22⋊D13—224no—
159C2×C22⋊D13C22×C416yes—
160C2×C22⋊D13C22×C416yes—
161C2×C22⋊D13C22×C416yes—
162C2×C22⋊D13C22×C416yes—
163C22×Dic13—212no—
164C22×Dic13C22×C413yes—
165C22×Dic13C22×C413yes—
166C22×Dic13C22×C413yes—
167C22×Dic13C2411yescharacteristic
168C22×Dic13C2413yes—
169C22×Dic13C2413yes—
170#6131—24no—
171#6131—212no—
172#6131—212no—
173#6131C2×D418yes—
174Q8×D13—24no—
175Q8×D13—212no—
176Q8×D13—212no—
177Q8×D13C22⋊C418yes—
178#6129—212no—
179#6129—224no—
180#6129—224no—
181#6129—212no—
182#6129—212no—
183#6129C2×D4124yes—
184D4×D13—224no—
185D4×D13—212no—
186D4×D13—224no—
187D4×D13—212no—
188D4×D13—212no—
189D4×D13C22⋊C4124yes—
190#6127—212no—
191#6127—224no—
192#6127—212no—
193#6127—224no—
194#6127—212no—
195#6127C22⋊C4124yes—
196C2×D52—212no—
197C2×D52C22×C416yes—
198C2×D52C22×C413yes—
199C2×D52C22×C413yes—
200C2×C4×D13—212no—
201C2×C4×D13—212no—
202C2×C4×D13—212no—
203C2×C4×D13—212no—
204C2×C4×D13—212no—
205C2×C4×D13—212no—
206C2×C4×D13—212no—
207C2×C4×D13—24no—
208C2×C4×D13—212no—
209C2×C4×D13—212no—
210C2×C4×D13—212no—
211C2×C4×D13C22×C411yescharacteristic
212C2×C4×D13C22×C411yescharacteristic
213C2×C4×D13C22×C413yes—
214C2×C4×D13C22×C413yes—
215C2×C4×D13C22×C413yes—
216C2×C4×D13C22×C413yes—
217C2×C4×D13C22×C413yes—
218C2×C4×D13C22×C413yes—
219C2×C4×D13C22×C413yes—
220C2×C4×D13C22×C413yes—
221C2×C4×D13C22×C413yes—
222C2×C4×D13C22×C413yes—
223C2×C4×D13C2×D4124yes—
224C2×C4×D13C2411yescharacteristic
225C2×C4×D13C2413yes—
226C2×C4×D13C2411yescharacteristic
227C2×C4×D13C2413yes—
228C2×Dic26—212no—
229C2×Dic26C22×C413yes—
230C2×Dic26C22×C416yes—
231C2×Dic26C22×C413yes—
232#6122—224no—
233C2×#1057—224no—
234C2×#1057C2414yes—
235C2×#1057C24112yes—
236#6118—224no—
237D13⋊C8—24no—
238D13⋊C8—212no—
239D13⋊C8—224no—
240C23×#41—131no—
241C22×#131—132no—
242#2880—136no—
243#2880—132no—
244#2880—136no—
245#2880—132no—
246C2×#408—136no—
247C2×#407—133no—
248C22×C22⋊C8—133no—
249C23×C13—26no—
250C23×C13—26no—
251C23×C13—43no—
252C23×C13C23×C413yes—
253C23×C13C23×C413yes—
254C23×C13C23×C411yescharacteristic
255C22×D13—22no—
256C22×D13—26no—
257C22×D13—22no—
258C22×D13—26no—
259C22×D13—26no—
260C22×D13—26no—
261C22×D13—26no—
262C22×D13—26no—
263C22×D13—26no—
264C22×D13—26no—
265C22×D13—26no—
266C22×D13—26no—
267C22×D13—26no—
268C22×D13—43no—
269C22×D13—43no—
270C22×D13—43no—
271C22×D13—448no—
272C22×D13C2×C22⋊C4112yes—
273C22×D13#13114yescomplemented
274C22×D13C23×C413yes—
275C22×D13C23×C413yes—
276C22×D13C23×C411yescharacteristic
277C22×D13C23×C411yescharacteristic
278Q8×C13—26no—
279Q8×C13C2×C22⋊C414yes—
280D4×C13—212no—
281D4×C13—26no—
282D4×C13C2×C22⋊C4112yes—
283C2×C4×C13—26no—
284C2×C4×C13—26no—
285C2×C4×C13—22no—
286C2×C4×C13—26no—
287C2×C4×C13—26no—
288C2×C4×C13C2×C22⋊C4112yes—
289C2×C4×C13C23×C413yes—
290C2×C4×C13C23×C411yescharacteristic
291C2×C4×C13C23×C413yes—
292C2×C4×C13C23×C411yescharacteristic
293C22⋊D13—212no—
294C22⋊D13—212no—
295C22⋊D13—212no—
296C22⋊D13C2×C22⋊C4124yes—
297C2×Dic13—26no—
298C2×Dic13—26no—
299C2×Dic13—26no—
300C2×Dic13—22no—
301C2×Dic13—26no—
302C2×Dic13C23×C413yes—
303C2×Dic13C23×C411yescharacteristic
304C2×Dic13C23×C413yes—
305C2×Dic13C22×D4112yes—
306C2×Dic13C2511yescharacteristic
307D52—212no—
308D52—26no—
309D52C2×C22⋊C4112yes—
310C4×D13—22no—
311C4×D13—26no—
312C4×D13—26no—
313C4×D13—26no—
314C4×D13—22no—
315C4×D13—26no—
316C4×D13—26no—
317C4×D13—26no—
318C4×D13—26no—
319C4×D13—26no—
320C4×D13—22no—
321C4×D13—26no—
322C4×D13C2×C22⋊C4112yes—
323C4×D13C2×C22⋊C4112yes—
324C4×D13C22×D414yes—
325C4×D13C22×D4112yes—
326Dic26—26no—
327Dic26—212no—
328Dic26C2×C22⋊C4112yes—
329#1057—24no—
330#1057—212no—
331C22×#41—131no—
332C22×#41—133no—
333C22×#41—131no—
334C22×#41—133no—
335C22×#41—133no—
336C22×#41—131no—
337C22×#41—133no—
338C22×#41—131no—
339C22×#41—131no—
340C22×#41—133no—
341C22×#41—133no—
342C22×#41—2616no—
343C22×#41#26111yescharacteristic
344C23×Q8—131no—
345C23×D4—133no—
346C24×C4—133no—
347C2×#131—1312no—
348C2×#131—134no—
349C2×#131—2616no—
350C22×M16—136no—
351C23×C8—136no—
352#408—1324no—
353#408—1312no—
354#408—1312no—
355#407—136no—
356#407—136no—
357#407—136no—
358#407—136no—
359C2×C22⋊C8—136no—
360C2×C22⋊C8—131no—
361C2×C22⋊C8—133no—
362C2×C22⋊C8—136no—
363C2×C22⋊C8—136no—
364C2×C22⋊C8—136no—
365C2×C22⋊C8—136no—
366C2×C22⋊C8—136no—
367C22×C13—21no—
368C22×C13—23no—
369C22×C13—21no—
370C22×C13—23no—
371C22×C13—23no—
372C22×C13—23no—
373C22×C13—23no—
374C22×C13—412no—
375C22×C13C22×C22⋊C416yes—
376C22×C13C2×#13112yescomplemented
377C22×C13C24×C411yescharacteristic
378C2×D13—21no—
379C2×D13—23no—
380C2×D13—21no—
381C2×D13—23no—
382C2×D13—28no—
383C2×D13—224no—
384C2×D13—23no—
385C2×D13—23no—
386C2×D13—23no—
387C2×D13—412no—
388C2×D13—412no—
389C2×D13—412no—
390C2×D13—412no—
391C2×D13C22×C22⋊C416yes—
392C2×D13C22×C22⋊C412yes—
393C2×D13C2×#13112yes—
394C2×D13C2×#13112yescomplemented
395C2×D13#56812yes—
396C4×C13—23no—
397C4×C13—21no—
398C4×C13C22×C22⋊C416yes—
399C4×C13C22×C22⋊C412yes—
400Dic13—23no—
401Dic13—21no—
402Dic13C22×C22⋊C416yes—
403Dic13C23×D412yes—
404C25—133no—
405C2×#41—28no—
406C2×#41—1316no—
407C2×#41—131no—
408C2×#41—133no—
409C2×#41—133no—
410C2×#41—131no—
411C2×#41—133no—
412C2×#41—136no—
413C2×#41—133no—
414C2×#41—136no—
415C2×#41—133no—
416C2×#41—133no—
417C2×#41—133no—
418C2×#41—136no—
419C2×#41—136no—
420C2×#41—133no—
421C2×#41—133no—
422C2×#41—133no—
423C2×#41—2624no—
424C2×#41—2624no—
425C2×#41—2624no—
426C2×#41—2624no—
427C2×#41—268no—
428C2×#41—268no—
429C2×#41—268no—
430C2×#41—2624no—
431C2×#41—2624no—
432C2×#41—268no—
433C2×#41C2×#26111yescharacteristic
434C2×#41C2×#26113yes—
435C2×#41C2×#26113yes—
436C2×#41C2×#26111yescharacteristic
437C22×Q8—131no—
438C22×Q8—133no—
439C22×Q8—133no—
440C22×Q8—131no—
441C22×Q8—133no—
442C22×Q8—268no—
443C22×Q8C2×#26111yescharacteristic
444C22×D4—133no—
445C22×D4—136no—
446C22×D4—133no—
447C22×D4—136no—
448C22×D4—133no—
449C22×D4—136no—
450C22×D4—133no—
451C22×D4—133no—
452C22×D4—2624no—
453C22×D4C2×#26113yes—
454C23×C4—133no—
455C23×C4—133no—
456C23×C4—131no—
457C23×C4—133no—
458C23×C4—133no—
459C23×C4—133no—
460C23×C4—133no—
461C23×C4—133no—
462C23×C4—133no—
463C23×C4—133no—
464C23×C4—133no—
465C23×C4—133no—
466C23×C4—133no—
467C23×C4—2624no—
468C23×C4C2×#26113yes—
469#131—2648no—
470#131—2616no—
471C2×M16—1312no—
472C2×M16—1312no—
473C2×M16—2624no—
474C22×C8—132no—
475C22×C8—136no—
476C22×C8—1312no—
477C22×C8—1312no—
478C22×C8—2624no—
479C22⋊C8—132no—
480C22⋊C8—136no—
481C22⋊C8—1312no—
482C22⋊C8—1312no—
483C22⋊C8—132no—
484C22⋊C8—136no—
485C22⋊C8—1312no—
486C22⋊C8—1312no—
487C2×C13—22no—
488C2×C13—26no—
489C2×C13—43no—
490C2×C13C23×C22⋊C411yescharacteristic
491C2×C13C22×#13111yescharacteristic
492C2×C13C2×#56811yescharacteristic
493D13—22no—
494D13—26no—
495D13—43no—
496D13#288014yescomplemented
497C24—131no—
498C24—133no—
499C24—133no—
500C24—133no—
501C24—133no—
502C24—133no—
503C24—2612no—
504C24—2612no—
505C24—526no—
506C24C22×#26113yes—
507#41—24no—
508#41—212no—
509#41—212no—
510#41—138no—
511#41—1324no—
512#41—1324no—
513#41—2624no—
514#41—2624no—
515#41—2612no—
516#41—2612no—
517#41—2624no—
518#41—2612no—
519#41—2612no—
520#41—2624no—
521#41—2612no—
522#41—2612no—
523#41—264no—
524#41—2612no—
525#41—2612no—
526#41C22⋊#26118yes—
527C2×Q8—24no—
528C2×Q8—138no—
529C2×Q8—133no—
530C2×Q8—136no—
531C2×Q8—133no—
532C2×Q8—2612no—
533C2×Q8—2612no—
534C2×Q8—2612no—
535C2×Q8—264no—
536C2×Q8C22×#26113yes—
537C2×Q8C22×#26111yescharacteristic
538C2×D4—212no—
539C2×D4—136no—
540C2×D4—1324no—
541C2×D4—136no—
542C2×D4—136no—
543C2×D4—136no—
544C2×D4—133no—
545C2×D4—136no—
546C2×D4—133no—
547C2×D4—2612no—
548C2×D4—2612no—
549C2×D4—2624no—
550C2×D4—2612no—
551C2×D4—2624no—
552C2×D4—2624no—
553C2×D4—2612no—
554C2×D4C22×#26116yes—
555C2×D4C22×#26113yes—
556C2×D4C22×#26113yes—
557C22×C4—212no—
558C22×C4—133no—
559C22×C4—1324no—
560C22×C4—133no—
561C22×C4—133no—
562C22×C4—131no—
563C22×C4—133no—
564C22×C4—131no—
565C22×C4—133no—
566C22×C4—133no—
567C22×C4—133no—
568C22×C4—133no—
569C22×C4—131no—
570C22×C4—133no—
571C22×C4—131no—
572C22×C4—133no—
573C22×C4—133no—
574C22×C4—133no—
575C22×C4—133no—
576C22×C4—133no—
577C22×C4—133no—
578C22×C4—133no—
579C22×C4—131no—
580C22×C4—133no—
581C22×C4—264no—
582C22×C4—2612no—
583C22×C4—2612no—
584C22×C4—2612no—
585C22×C4—2612no—
586C22×C4—2612no—
587C22×C4—2612no—
588C22×C4—2612no—
589C22×C4—2612no—
590C22×C4—2612no—
591C22×C4—2612no—
592C22×C4—2612no—
593C22×C4C22×#26113yes—
594C22×C4C22×#26113yes—
595C22×C4C22×#26113yes—
596C22×C4C22×#26111yescharacteristic
597C22×C4C22×#26113yes—
598C22×C4C22×#26113yes—
599M16—2624no—
600M16—2624no—
601C2×C8—134no—
602C2×C8—1312no—
603C2×C8—264no—
604C2×C8—2612no—
605C2×C8—2624no—
606C2×C8—2624no—
607C13C2×#288011yescharacteristic, complemented, Sylow
608C23—26no—
609C23—26no—
610C23—43no—
611C23—131no—
612C23—134no—
613C23—1312no—
614C23—131no—
615C23—133no—
616C23—133no—
617C23—262no—
618C23—266no—
619C23—262no—
620C23—266no—
621C23—266no—
622C23—266no—
623C23—266no—
624C23—266no—
625C23—266no—
626C23—266no—
627C23—266no—
628C23—266no—
629C23—266no—
630C23—523no—
631C23—523no—
632C23—523no—
633C23—5248no—
634C23C23×#26113yes—
635C23C23×#26111yescharacteristic
636C23C23×#26113yes—
637Q8—26no—
638Q8—1312no—
639Q8—2612no—
640Q8—266no—
641Q8C2×C22⋊#26114yes—
642D4—212no—
643D4—26no—
644D4—1324no—
645D4—1312no—
646D4—2612no—
647D4—2612no—
648D4—2612no—
649D4—2612no—
650D4—266no—
651D4C2×C22⋊#261112yes—
652C2×C4—26no—
653C2×C4—22no—
654C2×C4—26no—
655C2×C4—26no—
656C2×C4—26no—
657C2×C4—1312no—
658C2×C4—131no—
659C2×C4—133no—
660C2×C4—134no—
661C2×C4—1312no—
662C2×C4—1312no—
663C2×C4—1312no—
664C2×C4—131no—
665C2×C4—133no—
666C2×C4—262no—
667C2×C4—266no—
668C2×C4—266no—
669C2×C4—266no—
670C2×C4—262no—
671C2×C4—266no—
672C2×C4—266no—
673C2×C4—266no—
674C2×C4—262no—
675C2×C4—266no—
676C2×C4—266no—
677C2×C4—266no—
678C2×C4—266no—
679C2×C4—262no—
680C2×C4—266no—
681C2×C4—266no—
682C2×C4—266no—
683C2×C4C2×C22⋊#261112yes—
684C2×C4C23×#26111yescharacteristic
685C2×C4C23×#26113yes—
686C2×C4C23×#26113yes—
687C2×C4C23×#26111yescharacteristic
688C8—264no—
689C8—2612no—
690C22—21no—
691C22—23no—
692C22—21no—
693C22—23no—
694C22—23no—
695C22—23no—
696C22—23no—
697C22—412no—
698C22—132no—
699C22—132no—
700C22—132no—
701C22—136no—
702C22—132no—
703C22—2624no—
704C22—268no—
705C22—261no—
706C22—263no—
707C22—263no—
708C22—261no—
709C22—263no—
710C22—263no—
711C22—263no—
712C22—5212no—
713C22—5212no—
714C22—5212no—
715C22—5212no—
716C22D13⋊#13112yescomplemented
717C22C22×C22⋊#26116yes—
718C22C24×#26111yescharacteristic
719C4—21no—
720C4—23no—
721C4—136no—
722C4—132no—
723C4—261no—
724C4—263no—
725C4C22×C22⋊#26112yes—
726C4C22×C22⋊#26116yes—
727C2—22no—
728C2—26no—
729C2—43no—
730C2—134no—
731C2—262no—
732C2—266no—
733C2—523no—
734C2C23×C22⋊#26111yescharacteristic
735C2C2×D13⋊#13111yescharacteristic
736C2D13⋊#56811yescharacteristic
subgroupG/H
centerC2×C4C23×#261
commutator, socleC22×C13C24×C4
FrattiniC22C24×#261
FittingC22×C13×#41C4
prime radicalC22×#41×D13C2
cosocleC2×Dic13C25
hypercenterC22×#41#261
hypocenterC13C2×#2880
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C2×C4 ◁ C22×#41

Complements

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

NH ≅ G/Ntype
1. C2×D13⋊#131C2semidirect
2. #13131427C2semidirect
3. #13131426C2semidirect
4. #13131425C2semidirect
5. #13131424C2semidirect
6. D13⋊#408C2semidirect
7. D13⋊#407C2semidirect
8. C2×D13⋊(C22⋊C8)C2semidirect
27. C2×#88240C22semidirect
28. C2×#88238C22semidirect
29. C2×D13⋊M16C22semidirect
30. C22×D13⋊C8C22semidirect
31. #11719169C22semidirect
32. C2×C22⋊#1057C22semidirect
33. #11719159C22semidirect
34. #11719147C22semidirect
35. #11719146C22semidirect
36. #11719127C22semidirect
37. #11719127C22semidirect
38. #11719126C22semidirect
41. D13⋊(C22⋊C8)C22semidirect
42. D13⋊(C22⋊C8)C22semidirect
43. D13⋊(C22⋊C8)C22semidirect
44. D13⋊(C22⋊C8)C22semidirect
45. C2×#88111C22semidirect
111. C2×#6122C23semidirect
112. C22×#1057C23semidirect
116. C2×#6118C23semidirect
120. C2×D13⋊C8C23semidirect
123. C22⋊#1057C23semidirect
124. C22⋊#1057C23semidirect
127. #88111C23semidirect
128. #88111C23semidirect
273. C22×D13#131semidirect
376. C22×C13C2×#131semidirect
394. C2×D13C2×#131semidirect
496. D13#2880semidirect
607. C13C2×#2880semidirect
716. C22D13⋊#131semidirect

Maximal subgroups

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

subgroupindex
C2×D13⋊#1312
#131314272
#131314262
#131314252
#131314242
D13⋊#4082
D13⋊#4072
C2×D13⋊(C22⋊C8)2
C22×#41×D132
C2×#288013