Finite Group Databasebeta

← #15790842

Subgroups — #15790842

Order 3328.

2118 conjugacy classes of subgroups.

The subgroup lattice has 754 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11718882C211yesmaximal, characteristic
2C2×#11718881C211yesmaximal, characteristic
3C2×#11718611C212yesmaximal, complemented
4C2×#11718873C212yesmaximal, complemented
5#13113101C212yesmaximal, complemented
6#13113081C212yesmaximal, complemented
7#13113081C212yesmaximal, complemented
8#13113070C212yesmaximal, complemented
9C2×C13×#386C211yesmaximal, characteristic
10C23×D4×C13C2211yescharacteristic
11C24×C4×C13C2211yescharacteristic
12C24×Dic13C2211yescharacteristic
13C22×C13×C22⋊C4C2212yes—
14C22×C13×C22⋊C4C2211yescharacteristic
15C22×C22⋊Dic13C2212yes—
16C22×C22⋊Dic13C2212yes—
17C22×C22⋊Dic13C2212yes—
18C22×C22⋊Dic13C2211yescharacteristic
19C22×C4⋊Dic13C2212yes—
20C22×C4⋊Dic13C2212yes—
21C22×C4⋊Dic13C2211yescharacteristic
22C22×C4⋊Dic13C2212yes—
23C22×C4×Dic13C2211yescharacteristic
24C13×#386C418yescomplemented
25C2×C13×#95C2212yes—
26#11718882—24no—
27#11718881—24no—
28#11718873—28no—
29C2×#88071C2212yes—
30C2×#88071C2212yes—
31C2×#88071C2212yes—
32C2×#88071C2212yes—
33C2×#88071C2212yes—
34C2×#88071C2212yes—
35#11718611—28no—
36C25×C13C2311yescharacteristic
37C25×C13C2311yescharacteristic
38C22×D4×C13—41no—
39C22×D4×C13—41no—
40C22×D4×C13—41no—
41C22×D4×C13—41no—
42C22×D4×C13C2×C414yes—
43C22×D4×C13D414yes—
44C22×D4×C13Q814yes—
45C23×C4×C13—24no—
46C23×C4×C13—24no—
47C23×C4×C13—41no—
48C23×C4×C13—41no—
49C23×C4×C13C2×C414yescomplemented
50C23×C4×C13C2312yes—
51C23×C4×C13C2311yescharacteristic
52C23×C4×C13C2312yes—
53C23×Dic13—22no—
54C23×Dic13—24no—
55C23×Dic13—41no—
56C23×Dic13—41no—
57C23×Dic13—42no—
58C23×Dic13C2312yes—
59C23×Dic13C2312yes—
60C23×Dic13C2312yes—
61C23×Dic13C2312yes—
62C2×C13×C22⋊C4—24no—
63C2×C13×C22⋊C4—24no—
64C2×C13×C22⋊C4—41no—
65C2×C13×C22⋊C4—41no—
66C2×C13×C22⋊C4C2×C418yes—
67C2×C13×C22⋊C4C2×C414yescomplemented
68C2×C22⋊Dic13—24no—
69C2×C22⋊Dic13—22no—
70C2×C22⋊Dic13—24no—
71C2×C22⋊Dic13—24no—
72C2×C22⋊Dic13—24no—
73C2×C22⋊Dic13—24no—
74C2×C22⋊Dic13—24no—
75C2×C22⋊Dic13—42no—
76C2×C22⋊Dic13—42no—
77C2×C22⋊Dic13—42no—
78C2×C22⋊Dic13—41no—
79C2×C22⋊Dic13—41no—
80C2×C4⋊Dic13—24no—
81C2×C4⋊Dic13—22no—
82C2×C4⋊Dic13—24no—
83C2×C4⋊Dic13—24no—
84C2×C4⋊Dic13—24no—
85C2×C4⋊Dic13—24no—
86C2×C4⋊Dic13—42no—
87C2×C4⋊Dic13—42no—
88C2×C4⋊Dic13—42no—
89C2×C4⋊Dic13—42no—
90C2×C4⋊Dic13—41no—
91C2×C4⋊Dic13—41no—
92C2×C4×Dic13—22no—
93C2×C4×Dic13—41no—
94C2×C4×Dic13—41no—
95C13×#95C2×C418yescomplemented
96#88071—24no—
97#88071—24no—
98#88071—24no—
99#88071—42no—
100#88071—42no—
101#88071D418yescomplemented
102#14401—131nomaximal, Sylow
103C24×C13—22no—
104C24×C13—22no—
105C24×C13—22no—
106C24×C13—22no—
107C24×C13—22no—
108C24×C13—22no—
109C24×C13—21no—
110C24×C13—21no—
111C24×C13—21no—
112C24×C13—21no—
113C24×C13—21no—
114C24×C13—21no—
115C24×C13—21no—
116C24×C13—21no—
117C24×C13—22no—
118C24×C13—22no—
119C24×C13C22×C412yes—
120C24×C13C22×C412yes—
121C24×C13C2×D412yes—
122C24×C13C2×D412yes—
123C24×C13C2×Q812yes—
124C24×C13C2×Q812yes—
125C24×C13C2411yescharacteristic
126C2×D4×C13—44no—
127C2×D4×C13—44no—
128C2×D4×C13—44no—
129C2×D4×C13—44no—
130C2×D4×C13—44no—
131C2×D4×C13—44no—
132C2×D4×C13C4⋊C4116yescomplemented
133C22×C4×C13—22no—
134C22×C4×C13—22no—
135C22×C4×C13—21no—
136C22×C4×C13—21no—
137C22×C4×C13—22no—
138C22×C4×C13—22no—
139C22×C4×C13—21no—
140C22×C4×C13—21no—
141C22×C4×C13—22no—
142C22×C4×C13—22no—
143C22×C4×C13—22no—
144C22×C4×C13—22no—
145C22×C4×C13—22no—
146C22×C4×C13—22no—
147C22×C4×C13—216no—
148C22×C4×C13—44no—
149C22×C4×C13—44no—
150C22×C4×C13—48no—
151C22×C4×C13—44no—
152C22×C4×C13C22×C414yes—
153C22×C4×C13C22×C412yes—
154C22×C4×C13C22×C414yes—
155C22×C4×C13C2×D412yes—
156C22×C4×C13C2×D414yes—
157C22×C4×C13C2×Q812yes—
158C22×C4×C13#4114yes—
159C22×Dic13—22no—
160C22×Dic13—22no—
161C22×Dic13—22no—
162C22×Dic13—22no—
163C22×Dic13—22no—
164C22×Dic13—22no—
165C22×Dic13—22no—
166C22×Dic13—22no—
167C22×Dic13—22no—
168C22×Dic13—22no—
169C22×Dic13—22no—
170C22×Dic13—22no—
171C22×Dic13—22no—
172C22×Dic13—22no—
173C22×Dic13—22no—
174C22×Dic13—22no—
175C22×Dic13—22no—
176C22×Dic13—22no—
177C22×Dic13—22no—
178C22×Dic13—22no—
179C22×Dic13—22no—
180C22×Dic13—22no—
181C22×Dic13—22no—
182C22×Dic13—22no—
183C22×Dic13—22no—
184C22×Dic13—22no—
185C22×Dic13—44no—
186C22×Dic13—48no—
187C22×Dic13—48no—
188C22×Dic13—44no—
189C22×Dic13—44no—
190C22×Dic13C2×D414yes—
191C22×Dic13C2×D414yes—
192C13×C22⋊C4—216no—
193C13×C22⋊C4—44no—
194C22⋊Dic13—48no—
195C22⋊Dic13—48no—
196C22⋊Dic13—48no—
197C22⋊Dic13—44no—
198C4⋊Dic13—48no—
199C4⋊Dic13—48no—
200C4⋊Dic13—48no—
201C4⋊Dic13—44no—
202C4×Dic13—44no—
203C2×#390—131no—
204C2×#386—131no—
205C2×#386D1311yescharacteristic
206C2×#385—132no—
207C2×#380—132no—
208#1444—132no—
209#1439—132no—
210#1439—132no—
211#1436—132no—
212C23×C13—24no—
213C23×C13—24no—
214C23×C13—22no—
215C23×C13—22no—
216C23×C13—22no—
217C23×C13—22no—
218C23×C13—24no—
219C23×C13—24no—
220C23×C13—22no—
221C23×C13—22no—
222C23×C13—22no—
223C23×C13—22no—
224C23×C13—22no—
225C23×C13—22no—
226C23×C13—22no—
227C23×C13—22no—
228C23×C13—24no—
229C23×C13—24no—
230C23×C13—24no—
231C23×C13—24no—
232C23×C13—24no—
233C23×C13—24no—
234C23×C13—24no—
235C23×C13—24no—
236C23×C13—42no—
237C23×C13—42no—
238C23×C13—42no—
239C23×C13—42no—
240C23×C13—42no—
241C23×C13—42no—
242C23×C13—42no—
243C23×C13—42no—
244C23×C13—41no—
245C23×C13—41no—
246C23×C13—42no—
247C23×C13—42no—
248C23×C13—41no—
249C23×C13—41no—
250C23×C13—41no—
251C23×C13—41no—
252C23×C13—42no—
253C23×C13—42no—
254C23×C13—41no—
255C23×C13—41no—
256C23×C13C2×C4⋊C414yes—
257C23×C13C2×C4⋊C414yes—
258C23×C13C23×C411yescharacteristic
259C23×C13C22×D411yescharacteristic
260C23×C13C22×D412yes—
261C23×C13C22×Q811yescharacteristic
262C23×C13C2×#4112yes—
263C23×C13H(5,𝔽2)11yescharacteristic
264C23×C13H(5,𝔽2)11yescharacteristic
265C23×C13H(5,𝔽2)11yescharacteristic
266C23×C13H(5,𝔽2)11yescharacteristic
267C23×C13H(5,𝔽2)12yes—
268C23×C132−1+412yes—
269D4×C13—416no—
270C2×C4×C13—24no—
271C2×C4×C13—24no—
272C2×C4×C13—22no—
273C2×C4×C13—22no—
274C2×C4×C13—22no—
275C2×C4×C13—22no—
276C2×C4×C13—22no—
277C2×C4×C13—22no—
278C2×C4×C13—24no—
279C2×C4×C13—24no—
280C2×C4×C13—24no—
281C2×C4×C13—24no—
282C2×C4×C13—24no—
283C2×C4×C13—24no—
284C2×C4×C13—24no—
285C2×C4×C13—416no—
286C2×C4×C13—42no—
287C2×C4×C13—42no—
288C2×C4×C13—42no—
289C2×C4×C13—42no—
290C2×C4×C13C2×C4⋊C414yes—
291C2×C4×C13C4×D418yes—
292C2×Dic13—24no—
293C2×Dic13—24no—
294C2×Dic13—24no—
295C2×Dic13—24no—
296C2×Dic13—24no—
297C2×Dic13—24no—
298C2×Dic13—416no—
299C2×Dic13—42no—
300C2×Dic13—42no—
301C2×Dic13—42no—
302C2×Dic13—42no—
303C2×Dic13—42no—
304C2×Dic13—42no—
305C2×Dic13—42no—
306C2×Dic13—42no—
307C2×Dic13—42no—
308C2×Dic13—42no—
309C2×Dic13—42no—
310C2×Dic13—42no—
311C2×Dic13—42no—
312C2×Dic13—42no—
313C2×Dic13—42no—
314C2×Dic13—42no—
315C2×Dic13—42no—
316C2×Dic13—42no—
317C2×Dic13—42no—
318C2×Dic13—42no—
319C2×Dic13—42no—
320C2×Dic13—42no—
321C23×D4C2×D1311yescharacteristic
322C24×C4—131no—
323C24×C4C2×D1311yescharacteristic
324C22×C4⋊C4—132no—
325C22×C4⋊C4—132no—
326C22×C4⋊C4—132no—
327C22×C4⋊C4—131no—
328C22×C22⋊C4—132no—
329C22×C22⋊C4—132no—
330C22×C22⋊C4—132no—
331C22×C22⋊C4—131no—
332C22×C22⋊C4C2×D1312yes—
333C22×C22⋊C4C2×D1311yescharacteristic
334C22×C42—131no—
335#390—264no—
336#386—264no—
337#386Dic1318yescomplemented
338#385—268no—
339#380—268no—
340C2×#95—132no—
341C2×#95—132no—
342C2×#95—132no—
343C2×#95—132no—
344C2×#95—132no—
345C2×#95—132no—
346C2×#95C2×D1312yes—
347C22×C13—24no—
348C22×C13—24no—
349C22×C13—28no—
350C22×C13—28no—
351C22×C13—44no—
352C22×C13—44no—
353C22×C13—42no—
354C22×C13—42no—
355C22×C13—42no—
356C22×C13—42no—
357C22×C13—42no—
358C22×C13—42no—
359C22×C13—44no—
360C22×C13—44no—
361C22×C13—42no—
362C22×C13—42no—
363C22×C13—44no—
364C22×C13—44no—
365C22×C13—42no—
366C22×C13—42no—
367C22×C13—42no—
368C22×C13—42no—
369C22×C13C22×C4⋊C411yescharacteristic
370C22×C13C2×C4×D412yes—
371C22×C13#51811yescharacteristic
372C22×C13#51811yescharacteristic
373C22×C13#52012yes—
374C22×C13#53411yescharacteristic
375C22×C13#53411yescharacteristic
376C22×C13#53512yes—
377C22×C13#53712yes—
378C22×C13#54012yes—
379C22×C13#54212yes—
380C22×C13#54311yescharacteristic
381C22×C13#54311yescharacteristic
382C22×C13D4212yes—
383C22×C13D4211yescharacteristic
384C22×C13#54612yes—
385C22×C13#54712yes—
386C22×C13D4×Q812yes—
387C22×C13#55111yescharacteristic
388C22×C13#55412yes—
389C22×C13#56011yescharacteristic
390C22×C13#56212yes—
391C22×C13#56311yescharacteristic
392C4×C13—24no—
393C4×C13—28no—
394C4×C13—44no—
395Dic13—44no—
396Dic13—44no—
397Dic13—82no—
398Dic13—82no—
399C25C22×D1311yescharacteristic
400C25C22×D1311yescharacteristic
401C22×D4—41no—
402C22×D4—41no—
403C22×D4—41no—
404C22×D4—41no—
405C22×D4Dic2614yes—
406C22×D4D5214yes—
407C22×D4C2×Dic1314yes—
408C23×C4—24no—
409C23×C4—24no—
410C23×C4—41no—
411C23×C4—41no—
412C23×C4—132no—
413C23×C4—132no—
414C23×C4—132no—
415C23×C4—132no—
416C23×C4—264no—
417C23×C4—262no—
418C23×C4—521no—
419C23×C4—521no—
420C23×C4—522no—
421C23×C4C2×Dic1314yescomplemented
422C23×C4C22×D1312yes—
423C23×C4C22×D1311yescharacteristic
424C23×C4C22×D1312yes—
425C2×C4⋊C4—264no—
426C2×C4⋊C4—264no—
427C2×C4⋊C4—264no—
428C2×C4⋊C4—262no—
429C2×C4⋊C4—264no—
430C2×C4⋊C4—264no—
431C2×C4⋊C4—522no—
432C2×C4⋊C4—522no—
433C2×C4⋊C4—521no—
434C2×C4⋊C4—521no—
435C2×C4⋊C4—522no—
436C2×C4⋊C4—522no—
437C2×C22⋊C4—24no—
438C2×C22⋊C4—24no—
439C2×C22⋊C4—41no—
440C2×C22⋊C4—41no—
441C2×C22⋊C4—264no—
442C2×C22⋊C4—264no—
443C2×C22⋊C4—264no—
444C2×C22⋊C4—264no—
445C2×C22⋊C4—262no—
446C2×C22⋊C4—264no—
447C2×C22⋊C4—264no—
448C2×C22⋊C4—522no—
449C2×C22⋊C4—522no—
450C2×C22⋊C4—522no—
451C2×C22⋊C4—521no—
452C2×C22⋊C4—521no—
453C2×C22⋊C4C2×Dic1318yes—
454C2×C22⋊C4C2×Dic1314yescomplemented
455C2×C42—262no—
456C2×C42—521no—
457C2×C42—521no—
458#95—138no—
459#95—264no—
460#95—264no—
461#95—264no—
462#95—522no—
463#95—522no—
464#95C2×Dic1318yescomplemented
465C2×C13—44no—
466C2×C13—44no—
467C2×C13#231511yescharacteristic
468C2×C13#232412yes—
469C2×C13D4×C4⋊C412yes—
470C2×C13#235811yescharacteristic
471C2×C13#237611yescharacteristic
472C2×C13#266911yescharacteristic
473C2×C13#267112yes—
474C2×C13#268311yescharacteristic
475C2×C13#269212yes—
476C2×C13#271711yescharacteristic
477C2×C13#274811yescharacteristic
478C24—22no—
479C24—22no—
480C24—22no—
481C24—22no—
482C24—21no—
483C24—21no—
484C24—21no—
485C24—21no—
486C24—21no—
487C24—21no—
488C24—21no—
489C24—21no—
490C24—22no—
491C24—22no—
492C24—22no—
493C24—22no—
494C24C2×Dic2612yes—
495C24C2×Dic2612yes—
496C24C2×D5212yes—
497C24C2×D5212yes—
498C24C22×Dic1312yes—
499C24C22×Dic1312yes—
500C24C23×D1311yescharacteristic
501C2×D4—44no—
502C2×D4—44no—
503C2×D4—44no—
504C2×D4—44no—
505C2×D4—44no—
506C2×D4—44no—
507C2×D4C4⋊Dic13116yescomplemented
508C22×C4—22no—
509C22×C4—22no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—22no—
513C22×C4—22no—
514C22×C4—21no—
515C22×C4—21no—
516C22×C4—22no—
517C22×C4—22no—
518C22×C4—22no—
519C22×C4—22no—
520C22×C4—22no—
521C22×C4—22no—
522C22×C4—216no—
523C22×C4—44no—
524C22×C4—44no—
525C22×C4—44no—
526C22×C4—48no—
527C22×C4—134no—
528C22×C4—134no—
529C22×C4—262no—
530C22×C4—262no—
531C22×C4—262no—
532C22×C4—262no—
533C22×C4—262no—
534C22×C4—262no—
535C22×C4—262no—
536C22×C4—262no—
537C22×C4—262no—
538C22×C4—262no—
539C22×C4—262no—
540C22×C4—262no—
541C22×C4—262no—
542C22×C4—262no—
543C22×C4—262no—
544C22×C4—262no—
545C22×C4—262no—
546C22×C4—262no—
547C22×C4—262no—
548C22×C4—262no—
549C22×C4—262no—
550C22×C4—262no—
551C22×C4—262no—
552C22×C4—262no—
553C22×C4—262no—
554C22×C4—262no—
555C22×C4—524no—
556C22×C4—528no—
557C22×C4—528no—
558C22×C4—524no—
559C22×C4—524no—
560C22×C4C2×Dic2612yes—
561C22×C4C2×D5212yes—
562C22×C4D4×D1314yes—
563C22×C4#612914yes—
564C22×C4C22×Dic1314yes—
565C22×C4C22×Dic1312yes—
566C22×C4C22×Dic1314yes—
567C4⋊C4—528no—
568C4⋊C4—528no—
569C4⋊C4—524no—
570C4⋊C4—528no—
571C22⋊C4—216no—
572C22⋊C4—44no—
573C22⋊C4—528no—
574C22⋊C4—528no—
575C22⋊C4—528no—
576C22⋊C4—524no—
577C42—524no—
578C13#1440111yescharacteristic, complemented, Sylow
579C23—22no—
580C23—22no—
581C23—22no—
582C23—22no—
583C23—22no—
584C23—22no—
585C23—22no—
586C23—22no—
587C23—24no—
588C23—24no—
589C23—24no—
590C23—24no—
591C23—22no—
592C23—22no—
593C23—22no—
594C23—22no—
595C23—24no—
596C23—24no—
597C23—24no—
598C23—24no—
599C23—24no—
600C23—24no—
601C23—24no—
602C23—24no—
603C23—41no—
604C23—41no—
605C23—41no—
606C23—41no—
607C23—42no—
608C23—42no—
609C23—42no—
610C23—42no—
611C23—42no—
612C23—42no—
613C23—42no—
614C23—42no—
615C23—42no—
616C23—42no—
617C23—41no—
618C23—41no—
619C23—41no—
620C23—41no—
621C23—42no—
622C23—42no—
623C23C2×C4⋊Dic1314yes—
624C23C2×C4⋊Dic1314yes—
625C23C22×Dic2611yescharacteristic
626C23C22×D5211yescharacteristic
627C23C2×D4×D1312yes—
628C23C2×#612912yes—
629C23#8825111yescharacteristic
630C23#8825111yescharacteristic
631C23#8825111yescharacteristic
632C23#8825111yescharacteristic
633C23#8825612yes—
634C23#8825712yes—
635C23C23×Dic1311yescharacteristic
636D4—416no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—24no—
642C2×C4—24no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—24no—
646C2×C4—24no—
647C2×C4—24no—
648C2×C4—24no—
649C2×C4—24no—
650C2×C4—24no—
651C2×C4—24no—
652C2×C4—416no—
653C2×C4—42no—
654C2×C4—42no—
655C2×C4—42no—
656C2×C4—42no—
657C2×C4—264no—
658C2×C4—264no—
659C2×C4—264no—
660C2×C4—264no—
661C2×C4—264no—
662C2×C4—264no—
663C2×C4—5216no—
664C2×C4—522no—
665C2×C4—522no—
666C2×C4—522no—
667C2×C4—522no—
668C2×C4—522no—
669C2×C4—522no—
670C2×C4—522no—
671C2×C4—522no—
672C2×C4—522no—
673C2×C4—522no—
674C2×C4—522no—
675C2×C4—522no—
676C2×C4—522no—
677C2×C4—522no—
678C2×C4—522no—
679C2×C4—522no—
680C2×C4—522no—
681C2×C4—522no—
682C2×C4—522no—
683C2×C4—522no—
684C2×C4—522no—
685C2×C4—522no—
686C2×C4C2×C4⋊Dic1314yes—
687C2×C4D4×Dic1318yes—
688C22—24no—
689C22—24no—
690C22—28no—
691C22—28no—
692C22—42no—
693C22—42no—
694C22—42no—
695C22—42no—
696C22—42no—
697C22—42no—
698C22—44no—
699C22—44no—
700C22—44no—
701C22—44no—
702C22—44no—
703C22—44no—
704C22—42no—
705C22—42no—
706C22—42no—
707C22—42no—
708C22—42no—
709C22—42no—
710C22#1171918811yescharacteristic
711C22#1171918811yescharacteristic
712C22#1171919811yescharacteristic
713C22#1171919811yescharacteristic
714C22D4×Dic2612yes—
715C22#1171924812yes—
716C22D4×D5212yes—
717C22#1171926012yes—
718C22#1171929211yescharacteristic
719C22#1171929511yescharacteristic
720C22#1171929612yes—
721C22#1171930812yes—
722C22#1171931212yes—
723C22#1171931312yes—
724C22#1171932412yes—
725C22#1171935611yescharacteristic
726C22#1171937111yescharacteristic
727C22#1171937212yes—
728C22C22×C4⋊Dic1311yescharacteristic
729C22C2×D4×Dic1312yes—
730C22#1171950311yescharacteristic
731C22#1171950311yescharacteristic
732C22#1171953212yes—
733C4—24no—
734C4—28no—
735C4—44no—
736C4—524no—
737C4—524no—
738C4—1042no—
739C4—1042no—
740C2—44no—
741C2—44no—
742C2#1311745011yescharacteristic
743C2#1311753112yes—
744C2D4×C4⋊Dic1312yes—
745C2#1311782011yescharacteristic
746C2#1311798411yescharacteristic
747C2#1312105411yescharacteristic
748C2#1312107012yes—
749C2#1312120911yescharacteristic
750C2#1312133612yes—
751C2#1312167411yescharacteristic
752C2#1312205111yescharacteristic
subgroupG/H
center, FrattiniC24C23×D13
commutatorC23×C13C23×C4
FittingC2×C13×#386C2
socle, cosocleC24×C13C24
prime radicalC23×D4×C13C22
hypercenterC2×#386D13
hypocenterC13#14401
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C24 ◁ C2×#386

Complements

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

NH ≅ G/Ntype
3. C2×#11718611C2semidirect
4. C2×#11718873C2semidirect
5. #13113101C2semidirect
6. #13113081C2semidirect
7. #13113081C2semidirect
8. #13113070C2semidirect
24. C13×#386C4semidirect
49. C23×C4×C13C2×C4semidirect
67. C2×C13×C22⋊C4C2×C4semidirect
95. C13×#95C2×C4semidirect
101. #88071D4semidirect
132. C2×D4×C13C4⋊C4semidirect
337. #386Dic13semidirect
421. C23×C4C2×Dic13semidirect
454. C2×C22⋊C4C2×Dic13semidirect
464. #95C2×Dic13semidirect
507. C2×D4C4⋊Dic13semidirect
578. C13#14401semidirect

Maximal subgroups

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

subgroupindex
C2×#117188822
C2×#117188812
C2×#117186112
C2×#117188732
#131131012
#131130812
#131130702
C2×C13×#3862
#1440113