Finite Group Databasebeta

← #15896737

Subgroups — #15896737

Order 3328.

1084 conjugacy classes of subgroups.

The subgroup lattice has 718 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11718706C211yesmaximal, characteristic, complemented
2C2×#11718625C211yesmaximal, characteristic, complemented
3#13119133C211yesmaximal, characteristic
4#13116166C211yesmaximal, characteristic, complemented
5#13116161C211yesmaximal, characteristic, complemented
6#13116036C211yesmaximal, characteristic, complemented
7#13116029C211yesmaximal, characteristic, complemented
8#13115270C211yesmaximal, characteristic, complemented
9#13115134C211yesmaximal, characteristic
10#13115104C211yesmaximal, characteristic, complemented
11#13115090C211yesmaximal, characteristic, complemented
12#13115029C211yesmaximal, characteristic, complemented
13#13115024C211yesmaximal, characteristic, complemented
14#13114922C211yesmaximal, characteristic, complemented
15C2×C13×#554C211yesmaximal, characteristic
16C13×#554—24no—
17C13×#554—24no—
18C2×C13×C4⋊Q8C2211yescharacteristic
19C2×C13×#125—21no—
20C2×C13×C22⋊Q8—21no—
21C2×C13×C22⋊Q8—21no—
22C2×C13×C22⋊Q8C2211yescharacteristic
23C2×C13×C22⋊Q8C2211yescharacteristic
24C2×C4×Q8×C13C2211yescharacteristic
25C2×C4×D4×C13—21no—
26C2×C4×D4×C13C2211yescharacteristic
27C22×C13×C4⋊C4C2211yescharacteristic
28C22×C13×C4⋊C4C2211yescharacteristic
29C2×#88180C2211yescharacteristic
30C22×#6099C2211yescharacteristic
31C2×#88075C2211yescharacteristic
32C2×#88075C2211yescharacteristic
33C2×#88075C2211yescharacteristic
34C2×#88075C2211yescharacteristic
35#11718883—21no—
36#11718873C2211yescharacteristic
37#11718873C2211yescharacteristic
38#11718873C2211yescharacteristic
39C2×C22⋊#1055C2211yescharacteristic
40C2×C22⋊#1055C2211yescharacteristic
41C2×C22⋊#1055C2211yescharacteristic
42#11718706—24no—
43#11718639—21no—
44#11718625—24no—
45C2×#88048C2211yescharacteristic
46C2×#88048C2211yescharacteristic
47C2×#88048C2211yescharacteristic
48C2×#88047C2211yescharacteristic
49C2×#88047C2211yescharacteristic
50C2×#88047C2211yescharacteristic
51#11718613—21no—
52#11718605—21no—
53#11718589C2211yescharacteristic
54#11718589C2211yescharacteristic
55#11718121C2211yescharacteristic
56#11718121C2211yescharacteristic
57#11718121C2211yescharacteristic
58#11718121C2211yescharacteristic
59#11718121C2211yescharacteristic
60#11718121C2211yescharacteristic
61#11718116C2211yescharacteristic
62#11718116C2211yescharacteristic
63C22×Q8×C13—21no—
64C22×Q8×C13C2311yescharacteristic
65C22×D4×C13D411yescharacteristic
66C23×C4×C13—21no—
67C23×C4×C13—21no—
68C23×C4×C13C2311yescharacteristic
69C23×C4×C13C2311yescharacteristic
70C13×C4⋊Q8—22no—
71C13×C4⋊Q8—22no—
72C13×#125—28no—
73C13×C22⋊Q8—28no—
74C13×C22⋊Q8—28no—
75C13×C22⋊Q8—22no—
76C13×C22⋊Q8—22no—
77C13×C22⋊Q8—22no—
78C13×C22⋊Q8D414yes—
79C4×Q8×C13—22no—
80C4×Q8×C13—22no—
81C4×D4×C13—28no—
82C4×D4×C13—22no—
83C4×D4×C13—22no—
84C2×C13×C4⋊C4—21no—
85C2×C13×C4⋊C4—21no—
86C2×C13×C4⋊C4—22no—
87C2×C13×C4⋊C4—21no—
88C2×C13×C4⋊C4—21no—
89C2×C13×C4⋊C4—21no—
90C2×C13×C4⋊C4—21no—
91C2×C13×C4⋊C4—22no—
92C2×C13×C4⋊C4—22no—
93C2×C13×C4⋊C4D411yescharacteristic
94C2×C13×C4⋊C4D414yes—
95C2×C13×C4⋊C4C2311yescharacteristic
96C2×C13×C4⋊C4C2311yescharacteristic
97C2×C13×C4⋊C4C2311yescharacteristic
98C2×C13×C22⋊C4—21no—
99C2×C13×C22⋊C4—21no—
100C2×C13×C22⋊C4D411yescharacteristic
101C2×C13×C22⋊C4D411yescharacteristic
102C2×C42×C13—21no—
103C2×C42×C13C2311yescharacteristic
104C2×C22⋊Dic13—21no—
105C2×C22⋊Dic13—21no—
106C2×C22⋊Dic13—21no—
107C2×C22⋊Dic13—21no—
108#88180—22no—
109#88180—22no—
110C2×C4⋊Dic13C2311yescharacteristic
111C2×C4⋊Dic13C2311yescharacteristic
112C2×C4⋊Dic13C2311yescharacteristic
113C2×C4⋊Dic13C2311yescharacteristic
114C2×#6101—21no—
115C2×#6101—21no—
116C2×C4×Dic13—21no—
117C2×#6099—22no—
118C2×#6099—22no—
119C2×#6099—22no—
120C22×#1055C2311yescharacteristic
121C22×#1055C2311yescharacteristic
122C22×#1055C2311yescharacteristic
123C22×#1055C2311yescharacteristic
124#88075—22no—
125#88075—22no—
126#88075—22no—
127#88075—22no—
128#88071—21no—
129#88071—21no—
130#88071—21no—
131#88071—21no—
132#88071—21no—
133C22⋊#1055—22no—
134C22⋊#1055—22no—
135C22⋊#1055—22no—
136#88048—22no—
137#88048—22no—
138#88048—22no—
139#88047—22no—
140#88047—22no—
141#88047—22no—
142#24109—131nomaximal, Sylow
143C24×C13C2×D411yescharacteristic
144C24×C13C2×D411yescharacteristic
145C2×Q8×C13—24no—
146C2×Q8×C13—21no—
147C2×Q8×C13—21no—
148C2×Q8×C13—21no—
149C2×Q8×C13—21no—
150C2×Q8×C13—21no—
151C2×Q8×C13—81no—
152C2×Q8×C13—81no—
153C2×Q8×C13C2×D412yes—
154C2×D4×C13—22no—
155C2×D4×C13—22no—
156C2×D4×C13—22no—
157C22×C4×C13—21no—
158C22×C4×C13—21no—
159C22×C4×C13—21no—
160C22×C4×C13—21no—
161C22×C4×C13—21no—
162C22×C4×C13—21no—
163C22×C4×C13—21no—
164C22×C4×C13—21no—
165C22×C4×C13—24no—
166C22×C4×C13—24no—
167C22×C4×C13—21no—
168C22×C4×C13—21no—
169C22×C4×C13—21no—
170C22×C4×C13—21no—
171C22×C4×C13—21no—
172C22×C4×C13—21no—
173C22×C4×C13—81no—
174C22×C4×C13—81no—
175C22×C4×C13—81no—
176C22×C4×C13—81no—
177C22×C4×C13C2×D411yescharacteristic
178C22×C4×C13C2×D411yescharacteristic
179C22×C4×C13C2×D411yescharacteristic
180C22×C4×C13C2×D412yes—
181C22×C4×C13C2×D412yes—
182C22×C4×C13C2×D411yescharacteristic
183C22×C4×C13C2411yescharacteristic
184C22×Dic13—21no—
185C22×Dic13—21no—
186C22×Dic13—21no—
187C22×Dic13—21no—
188C13×C4⋊C4—24no—
189C13×C4⋊C4—24no—
190C13×C4⋊C4—24no—
191C13×C4⋊C4—24no—
192C13×C4⋊C4—24no—
193C13×C4⋊C4—24no—
194C13×C4⋊C4—22no—
195C13×C4⋊C4—21no—
196C13×C4⋊C4—21no—
197C13×C4⋊C4—21no—
198C13×C4⋊C4C2×D412yes—
199C13×C4⋊C4C2×D412yes—
200C13×C4⋊C4C2×D412yes—
201C13×C22⋊C4—24no—
202C13×C22⋊C4—24no—
203C13×C22⋊C4—22no—
204C13×C22⋊C4—22no—
205C42×C13—24no—
206C42×C13—21no—
207C42×C13—21no—
208C22⋊Dic13—42no—
209C22⋊Dic13—42no—
210C22⋊Dic13—81no—
211C22⋊Dic13—81no—
212C4⋊Dic13—21no—
213C4⋊Dic13—21no—
214C4⋊Dic13—21no—
215C4⋊Dic13—21no—
216C4⋊Dic13—21no—
217C4⋊Dic13—21no—
218C4⋊Dic13—21no—
219C4⋊Dic13—21no—
220#6101—42no—
221#6101—81no—
222C4×Dic13—42no—
223#6099—28no—
224C2×#1055—21no—
225C2×#1055—21no—
226C2×#1055—21no—
227C2×#1055—21no—
228C2×#1055—21no—
229C2×#1055—21no—
230C2×#1055—21no—
231C2×#1055—21no—
232C2×#1055—21no—
233C2×#1055—21no—
234C2×#1055#4112yes—
235C2×#1055#4112yes—
236C2×#554D1311yescharacteristic
237C2×#485—131no—
238C2×#428—131no—
239#2485—131no—
240#2058—131no—
241#2057—131no—
242#2036—131no—
243#2035—131no—
244#1894—131no—
245#1870—131no—
246#1865—131no—
247#1863—131no—
248#1853—131no—
249#1852—131no—
250#1823—131no—
251C23×C13—21no—
252C23×C13—21no—
253C23×C13—21no—
254C23×C13—21no—
255C23×C13—21no—
256C23×C13—21no—
257C23×C13—21no—
258C23×C13—21no—
259C23×C13—21no—
260C23×C13—21no—
261C23×C13—21no—
262C23×C13—21no—
263C23×C13#12012yes—
264C23×C13#13712yes—
265C23×C13C22×D411yescharacteristic
266Q8×C13—22no—
267Q8×C13—22no—
268Q8×C13—41no—
269Q8×C13—41no—
270Q8×C13—84no—
271D4×C13—28no—
272C2×C4×C13—21no—
273C2×C4×C13—21no—
274C2×C4×C13—21no—
275C2×C4×C13—21no—
276C2×C4×C13—22no—
277C2×C4×C13—22no—
278C2×C4×C13—22no—
279C2×C4×C13—22no—
280C2×C4×C13—22no—
281C2×C4×C13—21no—
282C2×C4×C13—22no—
283C2×C4×C13—21no—
284C2×C4×C13—22no—
285C2×C4×C13—22no—
286C2×C4×C13—21no—
287C2×C4×C13—21no—
288C2×C4×C13—21no—
289C2×C4×C13—21no—
290C2×C4×C13—41no—
291C2×C4×C13—41no—
292C2×C4×C13—41no—
293C2×C4×C13—41no—
294C2×C4×C13—41no—
295C2×C4×C13—41no—
296C2×C4×C13—41no—
297C2×C4×C13—41no—
298C2×C4×C13—41no—
299C2×C4×C13—41no—
300C2×C4×C13—41no—
301C2×C4×C13—41no—
302C2×C4×C13—84no—
303C2×C4×C13—84no—
304C2×C4×C13#12012yes—
305C2×C4×C13#13712yes—
306C2×C4×C13C22×D411yescharacteristic
307C2×C4×C13C22×D411yescharacteristic
308C2×C4×C13C2×#4111yescharacteristic
309C2×C4×C13C2×#4111yescharacteristic
310C2×C4×C132−1+411yescharacteristic
311C2×C4×C132−1+411yescharacteristic
312C2×Dic13—41no—
313C2×Dic13—41no—
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—
324#1055—22no—
325#1055—22no—
326#1055—41no—
327#1055—41no—
328C22×M16—131no—
329#554—24no—
330#554—24no—
331C2×C4⋊Q8C2×D1311yescharacteristic
332C2×#125—21no—
333C2×C22⋊Q8—21no—
334C2×C22⋊Q8—21no—
335C2×C22⋊Q8C2×D1311yescharacteristic
336C2×C22⋊Q8C2×D1311yescharacteristic
337C2×C4×Q8C2×D1311yescharacteristic
338C2×C4×D4—21no—
339C2×C4×D4C2×D1311yescharacteristic
340C2×#117—131no—
341C22×C4⋊C4C2×D1311yescharacteristic
342C22×C4⋊C4C2×D1311yescharacteristic
343#485—264no—
344#428—264no—
345C2×#107—131no—
346C2×#107—131no—
347C2×#107—131no—
348C2×#106—131no—
349C2×#106—131no—
350C2×#106—131no—
351C2×#103—131no—
352C2×#103—131no—
353C2×#103—131no—
354C2×#103—131no—
355C2×C22⋊C8—131no—
356C2×C22⋊C8—131no—
357C2×C22⋊C8—131no—
358#397—261no—
359#394—261no—
360#389—131no—
361#389—131no—
362#388—261no—
363#387—261no—
364#380—131no—
365#380—131no—
366#380—131no—
367#340—131no—
368#340—131no—
369#340—131no—
370#340—131no—
371#340—131no—
372#340—131no—
373#336—131no—
374#336—131no—
375C22×C13—22no—
376C22×C13—22no—
377C22×C13—22no—
378C22×C13—22no—
379C22×C13—22no—
380C22×C13—22no—
381C22×C13—41no—
382C22×C13—41no—
383C22×C13—41no—
384C22×C13—41no—
385C22×C13—41no—
386C22×C13—41no—
387C22×C13—41no—
388C22×C13—41no—
389C22×C13C2×#12011yescharacteristic
390C22×C13#54711yescharacteristic
391C22×C13#54711yescharacteristic
392C22×C13C2×#13711yescharacteristic
393C22×C13C2×#13711yescharacteristic
394C22×C13#57611yescharacteristic
395C22×C13#57711yescharacteristic
396C4×C13—22no—
397C4×C13—22no—
398C4×C13—41no—
399C4×C13—42no—
400C4×C13—41no—
401C4×C13—42no—
402C4×C13—42no—
403C4×C13—42no—
404C4×C13#52511yescharacteristic
405C4×C13#53611yescharacteristic
406C4×C13#54711yescharacteristic
407C4×C13#54711yescharacteristic
408Dic13—81no—
409Dic13—81no—
410Dic13—81no—
411Dic13—81no—
412C22×Q8—21no—
413C22×Q8C22×D1311yescharacteristic
414C22×D4C22⋊D1311yescharacteristic
415C23×C4—21no—
416C23×C4—21no—
417C23×C4C22×D1311yescharacteristic
418C23×C4C22×D1311yescharacteristic
419C2×M16—262no—
420C2×M16—262no—
421C2×M16—262no—
422C22×C8—131no—
423C22×C8—131no—
424C22×C8—131no—
425C22×C8—131no—
426C4⋊Q8—22no—
427C4⋊Q8—22no—
428#125—28no—
429C22⋊Q8—28no—
430C22⋊Q8—28no—
431C22⋊Q8—22no—
432C22⋊Q8—22no—
433C22⋊Q8—22no—
434C22⋊Q8C22⋊D1314yes—
435C4×Q8—22no—
436C4×Q8—22no—
437C4×D4—28no—
438C4×D4—22no—
439C4×D4—22no—
440#117—262no—
441#117—262no—
442C2×C4⋊C4—21no—
443C2×C4⋊C4—21no—
444C2×C4⋊C4—22no—
445C2×C4⋊C4—21no—
446C2×C4⋊C4—21no—
447C2×C4⋊C4—21no—
448C2×C4⋊C4—21no—
449C2×C4⋊C4—22no—
450C2×C4⋊C4—22no—
451C2×C4⋊C4—131no—
452C2×C4⋊C4—131no—
453C2×C4⋊C4—131no—
454C2×C4⋊C4—131no—
455C2×C4⋊C4—261no—
456C2×C4⋊C4—261no—
457C2×C4⋊C4C22⋊D1311yescharacteristic
458C2×C4⋊C4C22⋊D1314yes—
459C2×C4⋊C4C22×D1311yescharacteristic
460C2×C4⋊C4C22×D1311yescharacteristic
461C2×C4⋊C4C22×D1311yescharacteristic
462C2×C22⋊C4—21no—
463C2×C22⋊C4—21no—
464C2×C22⋊C4—261no—
465C2×C22⋊C4—261no—
466C2×C22⋊C4—261no—
467C2×C22⋊C4—261no—
468C2×C22⋊C4C22⋊D1311yescharacteristic
469C2×C22⋊C4C22⋊D1311yescharacteristic
470C2×C42—21no—
471C2×C42—261no—
472C2×C42C22×D1311yescharacteristic
473#107—262no—
474#107—262no—
475#107—262no—
476#106—262no—
477#106—262no—
478#106—262no—
479#103—262no—
480#103—262no—
481#103—262no—
482#103—262no—
483C22⋊C8—262no—
484C22⋊C8—262no—
485C22⋊C8—262no—
486#95—261no—
487#95—261no—
488#95—261no—
489#95—261no—
490#95—261no—
491C2×C13—42no—
492C2×C13—42no—
493C2×C13#240611yescharacteristic
494C2×C13#300411yescharacteristic
495C2×C13#301211yescharacteristic
496C2×C13#334411yescharacteristic
497C2×C13#334611yescharacteristic
498C2×C13#335611yescharacteristic
499C2×C13#335711yescharacteristic
500C24C2×C22⋊D1311yescharacteristic
501C24C2×C22⋊D1311yescharacteristic
502C2×Q8—24no—
503C2×Q8—21no—
504C2×Q8—21no—
505C2×Q8—21no—
506C2×Q8—21no—
507C2×Q8—21no—
508C2×Q8—81no—
509C2×Q8—81no—
510C2×Q8C2×C22⋊D1312yes—
511C2×D4—22no—
512C2×D4—22no—
513C2×D4—22no—
514C22×C4—21no—
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—24no—
523C22×C4—24no—
524C22×C4—21no—
525C22×C4—21no—
526C22×C4—21no—
527C22×C4—21no—
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—81no—
531C22×C4—81no—
532C22×C4—81no—
533C22×C4—81no—
534C22×C4—261no—
535C22×C4—261no—
536C22×C4—261no—
537C22×C4—261no—
538C22×C4C2×C22⋊D1311yescharacteristic
539C22×C4C2×C22⋊D1311yescharacteristic
540C22×C4C2×C22⋊D1311yescharacteristic
541C22×C4C2×C22⋊D1311yescharacteristic
542C22×C4C2×C22⋊D1312yes—
543C22×C4C2×C22⋊D1312yes—
544C22×C4C23×D1311yescharacteristic
545M16—268no—
546C2×C8—132no—
547C2×C8—132no—
548C2×C8—261no—
549C2×C8—261no—
550C2×C8—261no—
551C2×C8—261no—
552C2×C8—261no—
553C2×C8—261no—
554C2×C8—261no—
555C2×C8—261no—
556C2×C8—261no—
557C2×C8—261no—
558C4⋊C4—24no—
559C4⋊C4—24no—
560C4⋊C4—24no—
561C4⋊C4—24no—
562C4⋊C4—24no—
563C4⋊C4—24no—
564C4⋊C4—22no—
565C4⋊C4—21no—
566C4⋊C4—21no—
567C4⋊C4—21no—
568C4⋊C4—261no—
569C4⋊C4—261no—
570C4⋊C4—261no—
571C4⋊C4—261no—
572C4⋊C4—261no—
573C4⋊C4—261no—
574C4⋊C4—261no—
575C4⋊C4—261no—
576C4⋊C4—522no—
577C4⋊C4—1041no—
578C4⋊C4C2×C22⋊D1312yes—
579C4⋊C4C2×C22⋊D1312yes—
580C4⋊C4C2×C22⋊D1312yes—
581C22⋊C4—24no—
582C22⋊C4—24no—
583C22⋊C4—22no—
584C22⋊C4—22no—
585C22⋊C4—522no—
586C22⋊C4—522no—
587C22⋊C4—1041no—
588C22⋊C4—1041no—
589C42—24no—
590C42—21no—
591C42—21no—
592C42—522no—
593C13#2410911yescharacteristic, complemented, Sylow
594C23—21no—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—21no—
599C23—21no—
600C23—21no—
601C23—21no—
602C23—21no—
603C23—21no—
604C23—21no—
605C23—21no—
606C23#8819612yes—
607C23#8820712yes—
608C23C22×C22⋊D1311yescharacteristic
609Q8—22no—
610Q8—22no—
611Q8—41no—
612Q8—41no—
613Q8—84no—
614D4—28no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—22no—
628C2×C4—21no—
629C2×C4—22no—
630C2×C4—21no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—84no—
646C2×C4—84no—
647C2×C4—521no—
648C2×C4—521no—
649C2×C4—521no—
650C2×C4—521no—
651C2×C4—521no—
652C2×C4—521no—
653C2×C4—521no—
654C2×C4—521no—
655C2×C4—521no—
656C2×C4—521no—
657C2×C4—521no—
658C2×C4—521no—
659C2×C4#8819612yes—
660C2×C4#8820712yes—
661C2×C4#41×D1311yescharacteristic
662C2×C4#41×D1311yescharacteristic
663C2×C4#8825711yescharacteristic
664C2×C4#8825711yescharacteristic
665C2×C4C22×C22⋊D1311yescharacteristic
666C2×C4C22×C22⋊D1311yescharacteristic
667C8—262no—
668C8—262no—
669C8—521no—
670C8—521no—
671C22—22no—
672C22—22no—
673C22—22no—
674C22—22no—
675C22—22no—
676C22—22no—
677C22—41no—
678C22—41no—
679C22—41no—
680C22—41no—
681C22—41no—
682C22—41no—
683C22—41no—
684C22—41no—
685C22C2×#8819611yescharacteristic
686C22C2×#8819611yescharacteristic
687C22#1171952911yescharacteristic
688C22#1171952911yescharacteristic
689C22#1171954011yescharacteristic
690C22#1171954111yescharacteristic
691C22C2×#8820711yescharacteristic
692C4—22no—
693C4—22no—
694C4—41no—
695C4—42no—
696C4—42no—
697C4—42no—
698C4—41no—
699C4—42no—
700C4—1041no—
701C4—1041no—
702C4—1041no—
703C4—1041no—
704C4#1171952911yescharacteristic
705C4#1171952911yescharacteristic
706C4#1171953011yescharacteristic
707C4#1171953311yescharacteristic
708C2—42no—
709C2—42no—
710C2#1311816711yescharacteristic
711C2#1312407011yescharacteristic
712C2#1312414011yescharacteristic
713C2#1312728511yescharacteristic
714C2#1312731511yescharacteristic
715C2#1312745111yescharacteristic
716C2#1312746211yescharacteristic
subgroupG/H
centerC23C22×C22⋊D13
commutator, cosocleC22×C4×C13C24
FrattiniC22×C4C23×D13
FittingC2×C13×#554C2
socleC23×C13C22×D4
prime radicalC22×D4×C13D4
hypercenterC2×#554D13
hypocenterC13#24109
LCSG ▷ C22×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C23 ◁ C2×C4×D4 ◁ C2×#554

Complements

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

NH ≅ G/Ntype
1. C2×#11718706C2semidirect
2. C2×#11718625C2semidirect
4. #13116166C2semidirect
5. #13116161C2semidirect
6. #13116036C2semidirect
7. #13116029C2semidirect
8. #13115270C2semidirect
10. #13115104C2semidirect
11. #13115090C2semidirect
12. #13115029C2semidirect
13. #13115024C2semidirect
14. #13114922C2semidirect
593. C13#24109semidirect

Maximal subgroups

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

subgroupindex
C2×#117187062
C2×#117186252
#131191332
#131161662
#131161612
#131160362
#131160292
#131152702
#131151342
#131151042
#131150902
#131150292
#131150242
#131149222
C2×C13×#5542
#2410913