Finite Group Databasebeta

← #15880238

Subgroups — #15880238

Order 3328.

1150 conjugacy classes of subgroups.

The subgroup lattice has 744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13117721C211yesmaximal, characteristic, complemented
2D4×C22⋊Dic13C211yesmaximal, characteristic
3#13115535C211yesmaximal, characteristic, complemented
4#13115521C211yesmaximal, characteristic, complemented
5#13115465C211yesmaximal, characteristic, complemented
6#13115458C211yesmaximal, characteristic, complemented
7#13115099C211yesmaximal, characteristic, complemented
8#13115085C211yesmaximal, characteristic, complemented
9#13114931C211yesmaximal, characteristic, complemented
10#13114869C211yesmaximal, characteristic, complemented
11#13114767C211yesmaximal, characteristic
12#13114663C211yesmaximal, characteristic, complemented
13#102×Dic13C211yesmaximal, characteristic, complemented
14#13114617C211yesmaximal, characteristic, complemented
15C2×C13×#418C211yesmaximal, characteristic
16C23×D4×C13C2211yescharacteristic
17C22×C13×M16C2211yescharacteristic
18C2×C13×#117C2211yescharacteristic
19C22×C22⋊Dic13—21no—
20C2×D4×Dic13C2211yescharacteristic
21C2×D4×Dic13C2211yescharacteristic
22C13×#418C418yescomplemented
23C2×C13×#102C2211yescharacteristic
24C2×C13×#102C2211yescharacteristic
25C2×C13×#102C2211yescharacteristic
26C2×C13×#102C2211yescharacteristic
27#11718908—21no—
28#11718882C2211yescharacteristic
29#11718882C2211yescharacteristic
30#11718881—21no—
31#11718881—21no—
32C2×#88072C2211yescharacteristic
33C2×#88072C2211yescharacteristic
34C2×#88072C2211yescharacteristic
35C2×#88072C2211yescharacteristic
36#11718873C2211yescharacteristic
37#11718873C2211yescharacteristic
38C4×C22⋊Dic13C2211yescharacteristic
39C2×C22⋊#1055C2211yescharacteristic
40C2×#88058C2211yescharacteristic, complemented
41C2×#88057C2211yescharacteristic, complemented
42C2×#88055C2211yescharacteristic, complemented
43C2×C8×Dic13C2211yescharacteristic, complemented
44#11718646C2211yescharacteristic, complemented
45#11718646C2211yescharacteristic, complemented
46C4⋊C4×Dic13C2211yescharacteristic, complemented
47C4⋊C4×Dic13C2211yescharacteristic, complemented
48#11718612—21no—
49#11718612—21no—
50#11718597—21no—
51#11718593—21no—
52#11718143C2211yescharacteristic, complemented
53#11718143C2211yescharacteristic, complemented
54#11718142C2211yescharacteristic, complemented
55#11718142C2211yescharacteristic, complemented
56#11718121C2211yescharacteristic, complemented
57#11718121C2211yescharacteristic, complemented
58#11718121C2211yescharacteristic, complemented
59#11718121C2211yescharacteristic, complemented
60C25×C13—21no—
61C22×D4×C13—22no—
62C22×D4×C13—22no—
63C22×D4×C13—21no—
64C22×D4×C13—22no—
65C22×D4×C13—41no—
66C22×D4×C13—41no—
67C22×D4×C13C2×C414yes—
68C22×D4×C13C2311yescharacteristic
69C22×D4×C13C2311yescharacteristic
70C23×C4×C13C2311yescharacteristic
71C23×Dic13—21no—
72C23×Dic13—21no—
73C2×C13×M16—41no—
74C2×C13×M16—41no—
75C2×C13×M16C2×C414yescomplemented
76C22×C8×C13C2311yescharacteristic
77C22×C8×C13C2311yescharacteristic
78C13×#117—22no—
79C13×#117C2×C414yescomplemented
80C2×C13×C4⋊C4C2311yescharacteristic
81C2×C13×C4⋊C4C2311yescharacteristic
82C2×C13×C22⋊C4—21no—
83C2×C42×C13—21no—
84C2×C22⋊Dic13—21no—
85C2×C22⋊Dic13—21no—
86C2×C22⋊Dic13—21no—
87C2×C22⋊Dic13—21no—
88C2×C22⋊Dic13—21no—
89C2×C22⋊Dic13—21no—
90C2×C22⋊Dic13—21no—
91C2×C22⋊Dic13—21no—
92C2×C22⋊Dic13—44no—
93C2×C22⋊Dic13D411yescharacteristic
94C2×C22⋊Dic13D411yescharacteristic
95D4×Dic13—22no—
96D4×Dic13—22no—
97D4×Dic13—41no—
98D4×Dic13—41no—
99C2×C4⋊Dic13—21no—
100C2×C4⋊Dic13—21no—
101C2×C4⋊Dic13C2311yescharacteristic
102C2×C4⋊Dic13C2311yescharacteristic
103C2×C4⋊Dic13C2311yescharacteristic
104C2×C4⋊Dic13C2311yescharacteristic
105C2×C4×Dic13—21no—
106C2×C4×Dic13—21no—
107C2×C4×Dic13C2311yescharacteristic
108C2×C4×Dic13C2311yescharacteristic
109C22×#1055C2311yescharacteristic
110C22×#1055C2311yescharacteristic
111C13×#102C2×C414yes—
112C13×#102C2×C414yes—
113C13×#102C2×C414yescomplemented
114C13×#102C2×C414yescomplemented
115#88072—22no—
116#88072—22no—
117#88072—41no—
118#88072—41no—
119#88071—21no—
120#88071—21no—
121#88071—21no—
122#88071—21no—
123#88071—21no—
124#88071—21no—
125#88071D411yescharacteristic
126#88071D411yescharacteristic
127C22⋊#1055—22no—
128#88058—41no—
129#88057—41no—
130#88055—41no—
131C8×Dic13—41no—
132#22584—131nomaximal, Sylow
133C24×C13—21no—
134C24×C13—21no—
135C24×C13—24no—
136C24×C13—42no—
137C24×C13—42no—
138C24×C13—42no—
139C24×C13—42no—
140C24×C13—81no—
141C24×C13—81no—
142C24×C13C2×D411yescharacteristic
143C2×D4×C13—28no—
144C2×D4×C13—24no—
145C2×D4×C13—21no—
146C2×D4×C13—21no—
147C2×D4×C13—21no—
148C2×D4×C13—21no—
149C2×D4×C13—21no—
150C2×D4×C13—21no—
151C2×D4×C13—21no—
152C2×D4×C13—21no—
153C2×D4×C13—44no—
154C2×D4×C13—44no—
155C2×D4×C13—44no—
156C2×D4×C13—42no—
157C2×D4×C13—42no—
158C2×D4×C13C22×C412yes—
159C2×D4×C13C22×C412yes—
160C2×D4×C13#4112yes—
161C2×D4×C13#4112yes—
162C22×C4×C13—21no—
163C22×C4×C13—21no—
164C22×C4×C13—21no—
165C22×C4×C13—21no—
166C22×C4×C13—21no—
167C22×C4×C13—21no—
168C22×C4×C13C22×C412yes—
169C22×C4×C13C2×D411yescharacteristic
170C22×C4×C13#4112yes—
171C22×C4×C13C2411yescharacteristic
172C22×Dic13—21no—
173C22×Dic13—21no—
174C22×Dic13—21no—
175C22×Dic13—21no—
176C22×Dic13—42no—
177C22×Dic13—42no—
178C22×Dic13—42no—
179C22×Dic13—42no—
180C22×Dic13—81no—
181C22×Dic13—81no—
182C22×Dic13C2×D411yescharacteristic
183C22×Dic13C2×D411yescharacteristic
184C22×Dic13C2×D411yescharacteristic
185C22×Dic13C2×D411yescharacteristic
186C13×M16—44no—
187C2×C8×C13—21no—
188C2×C8×C13—21no—
189C2×C8×C13—21no—
190C2×C8×C13—21no—
191C2×C8×C13C22×C412yes—
192C2×C8×C13C22×C412yes—
193C13×C4⋊C4—21no—
194C13×C4⋊C4—21no—
195C13×C4⋊C4C22×C412yes—
196C13×C4⋊C4C22×C412yes—
197C13×C22⋊C4—24no—
198C42×C13—24no—
199C22⋊Dic13—22no—
200C22⋊Dic13—41no—
201C22⋊Dic13—42no—
202C22⋊Dic13—42no—
203C22⋊Dic13—42no—
204C22⋊Dic13—42no—
205C22⋊Dic13—42no—
206C22⋊Dic13—81no—
207C22⋊Dic13—81no—
208C22⋊Dic13—81no—
209C4⋊Dic13—21no—
210C4⋊Dic13—21no—
211C4⋊Dic13—21no—
212C4⋊Dic13—21no—
213C4⋊Dic13—21no—
214C4⋊Dic13—21no—
215C4⋊Dic13—21no—
216C4⋊Dic13—21no—
217C4⋊Dic13—81no—
218C4⋊Dic13—81no—
219C4×Dic13—21no—
220C4×Dic13—21no—
221C4×Dic13—21no—
222C4×Dic13—21no—
223C4×Dic13—42no—
224C4×Dic13—42no—
225C2×#1055—21no—
226C2×#1055—21no—
227C2×#1055—21no—
228C2×#1055—21no—
229C2×#1055—21no—
230C2×#1055—21no—
231C2×#418D1311yescharacteristic
232#2346—131no—
233D4×C22⋊C4—131no—
234#1936—131no—
235#1934—131no—
236#1926—131no—
237#1925—131no—
238#1864—131no—
239#1862—131no—
240#1825—131no—
241#1809—131no—
242#1786—131no—
243#1762—131no—
244C4×#102—131no—
245#1753—131no—
246C23×C13—22no—
247C23×C13—22no—
248C23×C13—22no—
249C23×C13—21no—
250C23×C13—21no—
251C23×C13—21no—
252C23×C13—21no—
253C23×C13—21no—
254C23×C13—21no—
255C23×C13—22no—
256C23×C13—48no—
257C23×C13—48no—
258C23×C13—41no—
259C23×C13—41no—
260C23×C13—41no—
261C23×C13—41no—
262C23×C13—41no—
263C23×C13—41no—
264C23×C13—41no—
265C23×C13—41no—
266C23×C13—41no—
267C23×C13—41no—
268C23×C13—84no—
269C23×C13—84no—
270C23×C13—84no—
271C23×C13—84no—
272C23×C13—84no—
273C23×C13C4×D412yes—
274C23×C13C22×D411yescharacteristic
275D4×C13—22no—
276D4×C13—22no—
277D4×C13—22no—
278D4×C13—22no—
279D4×C13—22no—
280D4×C13—48no—
281D4×C13—41no—
282D4×C13—41no—
283D4×C13#11714yes—
284C2×C4×C13—21no—
285C2×C4×C13—21no—
286C2×C4×C13—22no—
287C2×C4×C13—22no—
288C2×C4×C13—22no—
289C2×C4×C13—22no—
290C2×C4×C13—22no—
291C2×C4×C13—22no—
292C2×C4×C13—41no—
293C2×C4×C13—41no—
294C2×C4×C13—41no—
295C2×C4×C13—41no—
296C2×C4×C13C4×D412yes—
297C2×C4×C13C23×C411yescharacteristic
298C2×C4×C13C2×#4111yescharacteristic
299C2×C4×C13C2×#4111yescharacteristic
300C2×C4×C13C2×#4111yescharacteristic
301C2×C4×C13H(5,𝔽2)11yescharacteristic
302C2×C4×C13H(5,𝔽2)11yescharacteristic
303C2×Dic13—21no—
304C2×Dic13—21no—
305C2×Dic13—21no—
306C2×Dic13—21no—
307C2×Dic13—21no—
308C2×Dic13—21no—
309C2×Dic13—21no—
310C2×Dic13—21no—
311C2×Dic13—21no—
312C2×Dic13—21no—
313C2×Dic13—21no—
314C2×Dic13—41no—
315C2×Dic13—41no—
316C2×Dic13—41no—
317C2×Dic13—41no—
318C2×Dic13—41no—
319C2×Dic13—41no—
320C2×Dic13—41no—
321C2×Dic13—41no—
322C2×Dic13—41no—
323C2×Dic13—41no—
324C2×Dic13—41no—
325C2×Dic13—41no—
326C2×Dic13—84no—
327C2×Dic13—84no—
328C2×Dic13AGL(1,ℤ/8)12yes—
329C8×C13—22no—
330C8×C13—22no—
331#1055—41no—
332#1055—41no—
333C23×D4C2×D1311yescharacteristic
334C22×M16C2×D1311yescharacteristic
335C2×C4×D4—131no—
336C2×C4×D4—131no—
337C2×#117C2×D1311yescharacteristic
338C22×C22⋊C4—261no—
339C2×#107—131no—
340C2×#106—131no—
341#418Dic1318yescomplemented
342C2×#102—131no—
343C2×#102—131no—
344C2×#102—131no—
345C2×#102—131no—
346C2×#102C2×D1311yescharacteristic
347C2×#102C2×D1311yescharacteristic
348C2×#102C2×D1311yescharacteristic
349C2×#102C2×D1311yescharacteristic
350C2×C22⋊C8—131no—
351C2×#97—131no—
352C2×C4×C8—131no—
353#390—131no—
354#390—131no—
355#389—131no—
356#389—131no—
357#388—261no—
358#388—261no—
359#386—261no—
360#386—261no—
361#382—261no—
362#380—131no—
363#380—131no—
364#379—261no—
365C4×C4⋊C4—131no—
366C4×C4⋊C4—131no—
367C4×C22⋊C4—131no—
368#376—261no—
369#340—131no—
370#340—131no—
371#340—131no—
372#340—131no—
373#340—131no—
374#340—131no—
375#336—131no—
376#336—131no—
377C22×C13—22no—
378C22×C13—24no—
379C22×C13—22no—
380C22×C13—22no—
381C22×C13—42no—
382C22×C13—42no—
383C22×C13—42no—
384C22×C13—41no—
385C22×C13—41no—
386C22×C13—42no—
387C22×C13—41no—
388C22×C13—42no—
389C22×C13—42no—
390C22×C13—41no—
391C22×C13—42no—
392C22×C13—42no—
393C22×C13—42no—
394C22×C13—816no—
395C22×C13—81no—
396C22×C13—81no—
397C22×C13—81no—
398C22×C13—81no—
399C22×C13C2×C4×D411yescharacteristic
400C22×C13#54611yescharacteristic
401C22×C13#54611yescharacteristic
402C22×C13C2×AGL(1,ℤ/8)11yescharacteristic
403C22×C13#57511yescharacteristic
404C22×C13#57611yescharacteristic
405C22×C13#57711yescharacteristic
406C4×C13—22no—
407C4×C13—42no—
408C4×C13—42no—
409C4×C13C2×#11711yescharacteristic
410C4×C13#51811yescharacteristic
411C4×C13#55111yescharacteristic
412C4×C13#55111yescharacteristic
413Dic13—22no—
414Dic13—41no—
415Dic13—41no—
416Dic13—41no—
417Dic13—81no—
418Dic13—81no—
419Dic13—81no—
420Dic13—81no—
421C25—21no—
422C22×D4—22no—
423C22×D4—22no—
424C22×D4—21no—
425C22×D4—22no—
426C22×D4—41no—
427C22×D4—41no—
428C22×D4C2×Dic1314yes—
429C22×D4C22×D1311yescharacteristic
430C22×D4C22×D1311yescharacteristic
431C23×C4—261no—
432C23×C4—261no—
433C23×C4C22×D1311yescharacteristic
434C2×M16—41no—
435C2×M16—41no—
436C2×M16C2×Dic1314yescomplemented
437C22×C8—131no—
438C22×C8—131no—
439C22×C8C22×D1311yescharacteristic
440C22×C8C22×D1311yescharacteristic
441C4×D4—262no—
442C4×D4—262no—
443C4×D4—521no—
444C4×D4—521no—
445#117—22no—
446#117C2×Dic1314yescomplemented
447C2×C4⋊C4—131no—
448C2×C4⋊C4—131no—
449C2×C4⋊C4—131no—
450C2×C4⋊C4—131no—
451C2×C4⋊C4—261no—
452C2×C4⋊C4—261no—
453C2×C4⋊C4C22×D1311yescharacteristic
454C2×C4⋊C4C22×D1311yescharacteristic
455C2×C22⋊C4—21no—
456C2×C22⋊C4—131no—
457C2×C22⋊C4—131no—
458C2×C22⋊C4—261no—
459C2×C22⋊C4—261no—
460C2×C22⋊C4—261no—
461C2×C22⋊C4—261no—
462C2×C22⋊C4—261no—
463C2×C22⋊C4—261no—
464C2×C22⋊C4—261no—
465C2×C22⋊C4—261no—
466C2×C22⋊C4—524no—
467C2×C42—21no—
468C2×C42—131no—
469C2×C42—131no—
470C2×C42—261no—
471C2×C42—261no—
472#107—521no—
473#106—521no—
474#102—262no—
475#102—262no—
476#102—521no—
477#102—521no—
478#102C2×Dic1314yes—
479#102C2×Dic1314yes—
480#102C2×Dic1314yescomplemented
481#102C2×Dic1314yescomplemented
482C22⋊C8—262no—
483#97—521no—
484C4×C8—521no—
485#95—131no—
486#95—131no—
487#95—261no—
488#95—261no—
489#95—261no—
490#95—261no—
491#95—261no—
492#95—261no—
493C2×C13—42no—
494C2×C13—44no—
495C2×C13—82no—
496C2×C13#234211yescharacteristic
497C2×C13C4×AGL(1,ℤ/8)11yescharacteristic
498C2×C13#294611yescharacteristic
499C2×C13#331011yescharacteristic
500C2×C13#331911yescharacteristic
501C2×C13#332311yescharacteristic
502C2×C13#332511yescharacteristic
503C24—21no—
504C24—21no—
505C24—24no—
506C24—42no—
507C24—42no—
508C24—42no—
509C24—42no—
510C24—81no—
511C24—81no—
512C24D4×D1311yescharacteristic
513C2×D4—28no—
514C2×D4—24no—
515C2×D4—21no—
516C2×D4—21no—
517C2×D4—21no—
518C2×D4—21no—
519C2×D4—21no—
520C2×D4—21no—
521C2×D4—21no—
522C2×D4—21no—
523C2×D4—44no—
524C2×D4—44no—
525C2×D4—44no—
526C2×D4—42no—
527C2×D4—42no—
528C2×D4#612712yes—
529C2×D4#612712yes—
530C2×D4C22×Dic1312yes—
531C2×D4C22×Dic1312yes—
532C22×C4—21no—
533C22×C4—21no—
534C22×C4—21no—
535C22×C4—21no—
536C22×C4—21no—
537C22×C4—21no—
538C22×C4—131no—
539C22×C4—131no—
540C22×C4—131no—
541C22×C4—131no—
542C22×C4—261no—
543C22×C4—261no—
544C22×C4—261no—
545C22×C4—261no—
546C22×C4—522no—
547C22×C4—522no—
548C22×C4—522no—
549C22×C4—522no—
550C22×C4—1041no—
551C22×C4—1041no—
552C22×C4D4×D1311yescharacteristic
553C22×C4#612912yes—
554C22×C4C22×Dic1312yes—
555C22×C4C23×D1311yescharacteristic
556M16—44no—
557C2×C8—21no—
558C2×C8—21no—
559C2×C8—21no—
560C2×C8—21no—
561C2×C8—261no—
562C2×C8—261no—
563C2×C8—261no—
564C2×C8—261no—
565C2×C8—261no—
566C2×C8—261no—
567C2×C8C22×Dic1312yes—
568C2×C8C22×Dic1312yes—
569C4⋊C4—21no—
570C4⋊C4—21no—
571C4⋊C4—261no—
572C4⋊C4—261no—
573C4⋊C4—261no—
574C4⋊C4—261no—
575C4⋊C4—261no—
576C4⋊C4—261no—
577C4⋊C4—261no—
578C4⋊C4—261no—
579C4⋊C4—1041no—
580C4⋊C4—1041no—
581C4⋊C4C22×Dic1312yes—
582C4⋊C4C22×Dic1312yes—
583C22⋊C4—24no—
584C22⋊C4—262no—
585C22⋊C4—522no—
586C22⋊C4—521no—
587C22⋊C4—522no—
588C22⋊C4—522no—
589C22⋊C4—522no—
590C22⋊C4—522no—
591C22⋊C4—1041no—
592C22⋊C4—1041no—
593C22⋊C4—1041no—
594C42—24no—
595C42—261no—
596C42—261no—
597C42—261no—
598C42—261no—
599C42—522no—
600C42—522no—
601C13#2258411yescharacteristic, complemented, Sylow
602C23—22no—
603C23—22no—
604C23—21no—
605C23—21no—
606C23—21no—
607C23—21no—
608C23—21no—
609C23—21no—
610C23—22no—
611C23—22no—
612C23—48no—
613C23—48no—
614C23—41no—
615C23—41no—
616C23—41no—
617C23—41no—
618C23—41no—
619C23—41no—
620C23—41no—
621C23—41no—
622C23—41no—
623C23—41no—
624C23—84no—
625C23—84no—
626C23—84no—
627C23—84no—
628C23—84no—
629C23D4×Dic1312yes—
630C23C2×D4×D1311yescharacteristic
631D4—22no—
632D4—22no—
633D4—22no—
634D4—22no—
635D4—22no—
636D4—48no—
637D4—41no—
638D4—41no—
639D4#8818014yes—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—41no—
652C2×C4—132no—
653C2×C4—261no—
654C2×C4—261no—
655C2×C4—261no—
656C2×C4—261no—
657C2×C4—261no—
658C2×C4—261no—
659C2×C4—261no—
660C2×C4—261no—
661C2×C4—261no—
662C2×C4—261no—
663C2×C4—261no—
664C2×C4—521no—
665C2×C4—521no—
666C2×C4—521no—
667C2×C4—521no—
668C2×C4—521no—
669C2×C4—521no—
670C2×C4—521no—
671C2×C4—521no—
672C2×C4—521no—
673C2×C4—521no—
674C2×C4—521no—
675C2×C4—521no—
676C2×C4—1044no—
677C2×C4—1044no—
678C2×C4D4×Dic1312yes—
679C2×C4C2×#612711yescharacteristic
680C2×C4C2×#612711yescharacteristic
681C2×C4C2×#612911yescharacteristic
682C2×C4#8825111yescharacteristic
683C2×C4#8825111yescharacteristic
684C2×C4C23×Dic1311yescharacteristic
685C8—22no—
686C8—22no—
687C8—521no—
688C8—521no—
689C22—22no—
690C22—22no—
691C22—22no—
692C22—24no—
693C22—42no—
694C22—41no—
695C22—42no—
696C22—42no—
697C22—41no—
698C22—42no—
699C22—42no—
700C22—41no—
701C22—42no—
702C22—41no—
703C22—42no—
704C22—42no—
705C22—42no—
706C22—816no—
707C22—81no—
708C22—81no—
709C22—81no—
710C22—81no—
711C22#1171919511yescharacteristic
712C22#1171919511yescharacteristic
713C22D13×AGL(1,ℤ/8)11yescharacteristic
714C22#1171947811yescharacteristic
715C22#1171947911yescharacteristic
716C22#1171948011yescharacteristic
717C22C2×D4×Dic1311yescharacteristic
718C4—22no—
719C4—42no—
720C4—42no—
721C4—262no—
722C4—521no—
723C4—521no—
724C4—521no—
725C4—1041no—
726C4—1041no—
727C4—1041no—
728C4—1041no—
729C4#1171920011yescharacteristic
730C4#1171920011yescharacteristic
731C4C2×#8818011yescharacteristic
732C4#1171950311yescharacteristic
733C2—42no—
734C2—44no—
735C2—82no—
736C2#1311768511yescharacteristic
737C2AGL(1,ℤ/8)×Dic1311yescharacteristic
738C2#1312366911yescharacteristic
739C2#1312685811yescharacteristic
740C2#1312699311yescharacteristic
741C2#1312704811yescharacteristic
742C2#1312707411yescharacteristic
subgroupG/H
centerC23C2×D4×D13
commutatorC2×C4×C13C23×C4
FrattiniC22×C4C23×D13
FittingC2×C13×#418C2
socleC23×C13C22×D4
prime radicalC23×D4×C13C22
cosocleC22×C4×C13C24
hypercenterC2×#418D13
hypocenterC13#22584
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#418

Complements

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

NH ≅ G/Ntype
1. #13117721C2semidirect
3. #13115535C2semidirect
4. #13115521C2semidirect
5. #13115465C2semidirect
6. #13115458C2semidirect
7. #13115099C2semidirect
8. #13115085C2semidirect
9. #13114931C2semidirect
10. #13114869C2semidirect
12. #13114663C2semidirect
13. #102×Dic13C2semidirect
14. #13114617C2semidirect
22. C13×#418C4semidirect
40. C2×#88058C22semidirect
41. C2×#88057C22semidirect
42. C2×#88055C22semidirect
43. C2×C8×Dic13C22semidirect
44. #11718646C22semidirect
45. #11718646C22semidirect
46. C4⋊C4×Dic13C22semidirect
47. C4⋊C4×Dic13C22semidirect
52. #11718143C22semidirect
53. #11718143C22semidirect
54. #11718142C22semidirect
55. #11718142C22semidirect
56. #11718121C22semidirect
57. #11718121C22semidirect
58. #11718121C22semidirect
59. #11718121C22semidirect
75. C2×C13×M16C2×C4semidirect
79. C13×#117C2×C4semidirect
113. C13×#102C2×C4semidirect
114. C13×#102C2×C4semidirect
341. #418Dic13semidirect
436. C2×M16C2×Dic13semidirect
446. #117C2×Dic13semidirect
480. #102C2×Dic13semidirect
481. #102C2×Dic13semidirect
601. C13#22584semidirect

Maximal subgroups

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

subgroupindex
#131177212
D4×C22⋊Dic132
#131155352
#131155212
#131154652
#131154582
#131150992
#131150852
#131149312
#131148692
#131147672
#131146632
#102×Dic132
#131146172
C2×C13×#4182
#2258413