Finite Group Databasebeta

← #15869640

Subgroups — #15869640

Order 3328.

1086 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11718703C211yesmaximal, characteristic
2C2×#11718679C211yesmaximal, characteristic, complemented
3C2×C4×#6099C211yesmaximal, characteristic, complemented
4C4×#88178C211yesmaximal, characteristic, complemented
5#13115689C211yesmaximal, characteristic, complemented
6#13115566C211yesmaximal, characteristic, complemented
7#13115522C211yesmaximal, characteristic, complemented
8#13115511C211yesmaximal, characteristic, complemented
9#13115275C211yesmaximal, characteristic
10#13115267C211yesmaximal, characteristic, complemented
11#13114867C211yesmaximal, characteristic, complemented
12#13114734C211yesmaximal, characteristic, complemented
13#13114669C211yesmaximal, characteristic, complemented
14#13114661C211yesmaximal, characteristic, complemented
15C4×C13×#121C211yesmaximal, characteristic
16C2×C13×#121C2211yescharacteristic
17C2×C4×D4×C13—21no—
18C2×C4×D4×C13C2211yescharacteristic
19C22×C42×C13C2211yescharacteristic
20C22×#6105C2211yescharacteristic
21C2×#88178C2211yescharacteristic
22C22×#6099C2211yescharacteristic
23C22×#6099C2211yescharacteristic
24C2×C4×Dic26C2211yescharacteristic
25C13×#390C2211yescharacteristic
26C13×#389C2211yescharacteristic
27C13×#388—21no—
28C13×#386—21no—
29C13×#380C2211yescharacteristic
30C4×C13×C4⋊C4C2211yescharacteristic
31C4×C13×C22⋊C4—21no—
32C2×#88072C2211yescharacteristic
33C2×#88072C2211yescharacteristic
34C2×#88072C2211yescharacteristic
35#11718873C2211yescharacteristic
36#11718871—21no—
37C4×C22⋊Dic13—21no—
38#11718703C418yescomplemented
39#11718679—24no—
40C2×#88050C2211yescharacteristic
41C2×#88050C2211yescharacteristic
42C2×#88050C2211yescharacteristic
43C2×#88048C2211yescharacteristic
44C2×#88047C2211yescharacteristic
45C2×#88047C2211yescharacteristic
46C4×C4⋊Dic13C2211yescharacteristic
47#11718594—21no—
48C4×#6101—21no—
49#11718590C2211yescharacteristic
50#11718589C2211yescharacteristic
51C4×#6099—24no—
52C2×#88043C2211yescharacteristic
53C2×#88043C2211yescharacteristic
54C2×C4×#1055C2211yescharacteristic
55C2×C4×#1055C2211yescharacteristic
56#11718121C2211yescharacteristic
57#11718121C2211yescharacteristic
58#11718121C2211yescharacteristic
59#11718121C2211yescharacteristic
60#11718121C2211yescharacteristic
61#11718121C2211yescharacteristic
62C22×D4×C13—21no—
63C22×D4×C13C2311yescharacteristic
64C23×C4×C13—21no—
65C23×C4×C13D411yescharacteristic
66C23×C4×C13D411yescharacteristic
67C23×C4×C13C2311yescharacteristic
68C22×Dic26C2311yescharacteristic
69C13×#121—22no—
70C13×#121C2×C414yes—
71C4×D4×C13—22no—
72C4×D4×C13—22no—
73C4×D4×C13—44no—
74C2×C13×C4⋊C4—21no—
75C2×C13×C4⋊C4C2311yescharacteristic
76C2×C13×C4⋊C4C2311yescharacteristic
77C2×C13×C4⋊C4C2311yescharacteristic
78C2×C13×C22⋊C4—21no—
79C2×C13×C22⋊C4—21no—
80C2×C13×C22⋊C4—21no—
81C2×C13×C22⋊C4—21no—
82C2×C13×C22⋊C4—21no—
83C2×C42×C13—22no—
84C2×C42×C13—22no—
85C2×C42×C13—21no—
86C2×C42×C13D411yescharacteristic
87C2×C42×C13D411yescharacteristic
88C2×C42×C13C2311yescharacteristic
89C2×C42×C13C2311yescharacteristic
90C2×C22⋊Dic13—21no—
91C2×C22⋊Dic13—21no—
92C2×#6105—22no—
93C2×#6105—22no—
94C2×#6105C2×C414yescomplemented
95C2×C4⋊Dic13C2311yescharacteristic
96C2×C4⋊Dic13C2311yescharacteristic
97C2×C4⋊Dic13C2311yescharacteristic
98#88178—22no—
99#88178C2×C414yescomplemented
100C2×#6101—21no—
101C2×#6101—21no—
102C2×#6101—21no—
103C2×C4×Dic13—21no—
104C2×C4×Dic13—21no—
105C2×#6099—22no—
106C2×#6099—22no—
107C2×#6099—22no—
108C2×#6099—22no—
109C2×#6099—22no—
110C2×#6099C2×C414yescomplemented
111C22×#1055C2311yescharacteristic
112C22×#1055C2311yescharacteristic
113C22×#1055C2311yescharacteristic
114C22×#1055C2311yescharacteristic
115C4×Dic26—22no—
116C4×Dic26—22no—
117C13×#95—21no—
118C13×#95—21no—
119C13×#95—21no—
120#88072—22no—
121#88072—22no—
122#88072C2×C414yescomplemented
123#88071—21no—
124#88071—21no—
125#88071—21no—
126#88071—21no—
127#88071—21no—
128#88050—22no—
129#88050—22no—
130#88050C2×C414yescomplemented
131#88048—22no—
132#88047—22no—
133#88047C2×C414yescomplemented
134#88043—22no—
135#88043D414yescomplemented
136C4×#1055—22no—
137C4×#1055—22no—
138#21540—131nomaximal, Sylow
139C24×C13—21no—
140C24×C13C2×D411yescharacteristic
141C2×D4×C13—24no—
142C2×D4×C13—21no—
143C2×D4×C13—21no—
144C2×D4×C13—21no—
145C2×D4×C13—21no—
146C2×D4×C13—21no—
147C2×D4×C13—42no—
148C2×D4×C13—42no—
149C2×D4×C13C22×C412yes—
150C22×C4×C13—21no—
151C22×C4×C13—21no—
152C22×C4×C13—21no—
153C22×C4×C13—21no—
154C22×C4×C13—21no—
155C22×C4×C13—22no—
156C22×C4×C13—22no—
157C22×C4×C13—22no—
158C22×C4×C13—22no—
159C22×C4×C13—21no—
160C22×C4×C13—21no—
161C22×C4×C13—41no—
162C22×C4×C13—41no—
163C22×C4×C13—42no—
164C22×C4×C13—42no—
165C22×C4×C13—42no—
166C22×C4×C13C22×C412yes—
167C22×C4×C13C2×D411yescharacteristic
168C22×C4×C13C2×D411yescharacteristic
169C22×C4×C13C2×D411yescharacteristic
170C22×C4×C13C2×D411yescharacteristic
171C22×C4×C13C2×D411yescharacteristic
172C22×C4×C13#4112yes—
173C22×C4×C13C2411yescharacteristic
174C22×Dic13—21no—
175C22×Dic13—21no—
176C22×Dic13—21no—
177C22×Dic13—21no—
178C2×Dic26—21no—
179C2×Dic26—21no—
180C2×Dic26—21no—
181C2×Dic26—21no—
182C2×Dic26—21no—
183C2×Dic26C22×C412yes—
184C13×C4⋊C4—21no—
185C13×C4⋊C4—21no—
186C13×C4⋊C4—21no—
187C13×C4⋊C4—21no—
188C13×C4⋊C4—21no—
189C13×C4⋊C4—42no—
190C13×C4⋊C4C22×C412yes—
191C13×C22⋊C4—24no—
192C13×C22⋊C4—42no—
193C13×C22⋊C4—42no—
194C13×C22⋊C4—42no—
195C13×C22⋊C4—42no—
196C42×C13—22no—
197C42×C13—22no—
198C42×C13—21no—
199C42×C13—21no—
200C42×C13—42no—
201C42×C13C2×D412yes—
202C42×C13#4112yes—
203C22⋊Dic13—24no—
204C22⋊Dic13—42no—
205#6105—28no—
206C4⋊Dic13—21no—
207C4⋊Dic13—21no—
208C4⋊Dic13—21no—
209C4⋊Dic13—21no—
210C4⋊Dic13—21no—
211C4⋊Dic13C22×C412yes—
212#6101—24no—
213#6101—42no—
214#6101—42no—
215C4×Dic13—42no—
216C4×Dic13—42no—
217#6099—28no—
218#6099—28no—
219C2×#1055—21no—
220C2×#1055—21no—
221C2×#1055—21no—
222C2×#1055—21no—
223C2×#1055—21no—
224C2×#1055—21no—
225C2×#1055C22×C412yes—
226C2×#1055C22×C412yes—
227C2×#1055C2×D412yes—
228C2×#1055C2×D412yes—
229C2×#1055#4112yes—
230C2×#1055#4112yes—
231C2×#468—131no—
232C2×#440—131no—
233C2×C4×M16—131no—
234C4×C22⋊Q8—131no—
235C4×#121D1311yescharacteristic
236#1968—131no—
237#1942—131no—
238#1934—131no—
239#1933—131no—
240#1895—131no—
241#1894—131no—
242#1809—131no—
243#1776—131no—
244#1763—131no—
245#1762—131no—
246C23×C13—21no—
247C23×C13—21no—
248C23×C13—21no—
249C23×C13—21no—
250C23×C13—21no—
251C23×C13—21no—
252C23×C13—22no—
253C23×C13—41no—
254C23×C13—41no—
255C23×C13—41no—
256C23×C13—41no—
257C23×C13—41no—
258C23×C13—41no—
259C23×C13C4×D412yes—
260C23×C13C22×D411yescharacteristic
261D4×C13—22no—
262D4×C13—22no—
263D4×C13—48no—
264D4×C13—41no—
265D4×C13—41no—
266C2×C4×C13—21no—
267C2×C4×C13—21no—
268C2×C4×C13—21no—
269C2×C4×C13—21no—
270C2×C4×C13—21no—
271C2×C4×C13—21no—
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—44no—
282C2×C4×C13—44no—
283C2×C4×C13—41no—
284C2×C4×C13—41no—
285C2×C4×C13—41no—
286C2×C4×C13—41no—
287C2×C4×C13—41no—
288C2×C4×C13—41no—
289C2×C4×C13—41no—
290C2×C4×C13—41no—
291C2×C4×C13—84no—
292C2×C4×C13C4×D412yes—
293C2×C4×C13#12112yes—
294C2×C4×C13#12112yes—
295C2×C4×C13AGL(1,ℤ/8)12yes—
296C2×C4×C13#13712yes—
297C2×C4×C13C23×C411yescharacteristic
298C2×C4×C13C22×D411yescharacteristic
299C2×C4×C13C2×#4111yescharacteristic
300C2×C4×C13C2×#4111yescharacteristic
301C2×C4×C13C2×#4111yescharacteristic
302C2×C4×C13C2×#4111yescharacteristic
303C2×Dic13—22no—
304C2×Dic13—22no—
305C2×Dic13—41no—
306C2×Dic13—41no—
307C2×Dic13—41no—
308C2×Dic13—41no—
309C2×Dic13—41no—
310C2×Dic13—41no—
311C2×Dic13—41no—
312C2×Dic13—41no—
313C2×Dic13—41no—
314C2×Dic13—41no—
315Dic26—22no—
316Dic26—22no—
317Dic26—41no—
318Dic26—41no—
319#1055—22no—
320#1055—22no—
321#1055—22no—
322#1055C4×D414yescomplemented
323C22×SD16—131no—
324C22×M16—131no—
325C22×M16—131no—
326C2×C22⋊Q8—131no—
327C2×#121C2×D1311yescharacteristic
328C2×C4×Q8—131no—
329C2×C4×D4—21no—
330C2×C4×D4C2×D1311yescharacteristic
331C22×C42C2×D1311yescharacteristic
332#468—138no—
333#440—264no—
334C2×#107—131no—
335C2×#107—131no—
336C2×#106—131no—
337C2×#103—131no—
338C2×#103—131no—
339C2×#103—131no—
340C2×#102—131no—
341C2×#102—131no—
342C2×#102—131no—
343C4×M16—264no—
344C2×#97—131no—
345C2×#97—131no—
346C2×C4×C8—131no—
347C2×C4×C8—131no—
348#391—131no—
349#390C2×D1311yescharacteristic
350#389—131no—
351#389C2×D1311yescharacteristic
352#388—21no—
353#387—261no—
354#386—21no—
355#385—261no—
356#380—131no—
357#380C2×D1311yescharacteristic
358C4×C4⋊C4—131no—
359C4×C4⋊C4—261no—
360C4×C4⋊C4C2×D1311yescharacteristic
361C4×C22⋊C4—21no—
362C4×C22⋊C4—261no—
363#340—131no—
364#340—131no—
365#340—131no—
366#340—131no—
367#340—131no—
368#340—131no—
369C22×C13—22no—
370C22×C13—22no—
371C22×C13—22no—
372C22×C13—41no—
373C22×C13—41no—
374C22×C13—41no—
375C22×C13—41no—
376C22×C13—42no—
377C22×C13—42no—
378C22×C13—42no—
379C22×C13—81no—
380C22×C13—81no—
381C22×C13—81no—
382C22×C13—81no—
383C22×C13C2×C4×D411yescharacteristic
384C22×C13C2×#12111yescharacteristic
385C22×C13#53211yescharacteristic
386C22×C13C2×AGL(1,ℤ/8)11yescharacteristic
387C22×C13C2×#13711yescharacteristic
388C22×C13#57511yescharacteristic
389C22×C13#57511yescharacteristic
390C4×C13—22no—
391C4×C13—22no—
392C4×C13—22no—
393C4×C13—22no—
394C4×C13—22no—
395C4×C13—42no—
396C4×C13—81no—
397C4×C13—81no—
398C4×C13C2×C4×D411yescharacteristic
399C4×C13C4×#4111yescharacteristic
400C4×C13#52511yescharacteristic
401C4×C13#52911yescharacteristic
402Dic13—42no—
403Dic13—42no—
404Dic13—81no—
405Dic13—81no—
406C22×Q8—131no—
407C22×D4—21no—
408C22×D4C22×D1311yescharacteristic
409C23×C4—21no—
410C23×C4C22⋊D1311yescharacteristic
411C23×C4C22⋊D1311yescharacteristic
412C23×C4C22×D1311yescharacteristic
413C2×SD16—134no—
414C2×SD16—262no—
415C2×SD16—262no—
416C2×M16—134no—
417C2×M16—262no—
418C2×M16—262no—
419C2×M16—262no—
420C2×M16—262no—
421C2×M16—262no—
422C22×C8—131no—
423C22×C8—131no—
424C22×C8—131no—
425C22×C8—131no—
426C22⋊Q8—134no—
427C22⋊Q8—262no—
428#121—22no—
429#121C4×D1314yes—
430C4×Q8—262no—
431C4×Q8—262no—
432C4×D4—22no—
433C4×D4—22no—
434C4×D4—44no—
435C2×C4⋊C4—21no—
436C2×C4⋊C4—131no—
437C2×C4⋊C4—131no—
438C2×C4⋊C4—131no—
439C2×C4⋊C4—261no—
440C2×C4⋊C4—261no—
441C2×C4⋊C4—261no—
442C2×C4⋊C4C22×D1311yescharacteristic
443C2×C4⋊C4C22×D1311yescharacteristic
444C2×C4⋊C4C22×D1311yescharacteristic
445C2×C22⋊C4—21no—
446C2×C22⋊C4—21no—
447C2×C22⋊C4—21no—
448C2×C22⋊C4—21no—
449C2×C22⋊C4—21no—
450C2×C22⋊C4—261no—
451C2×C22⋊C4—261no—
452C2×C42—22no—
453C2×C42—22no—
454C2×C42—21no—
455C2×C42—261no—
456C2×C42—261no—
457C2×C42C22⋊D1311yescharacteristic
458C2×C42C22⋊D1311yescharacteristic
459C2×C42C22×D1311yescharacteristic
460C2×C42C22×D1311yescharacteristic
461#107—134no—
462#107—262no—
463#106—262no—
464#103—134no—
465#103—262no—
466#103—262no—
467#102—134no—
468#102—262no—
469#102—262no—
470#97—134no—
471#97—262no—
472C4×C8—262no—
473C4×C8—262no—
474#95—21no—
475#95—21no—
476#95—21no—
477#95—261no—
478#95—261no—
479#95—261no—
480#95—261no—
481#95—261no—
482C2×C13—42no—
483C2×C13—82no—
484C2×C13C4×#12111yescharacteristic
485C2×C13C4×AGL(1,ℤ/8)11yescharacteristic
486C2×C13C4×#13711yescharacteristic
487C2×C13#305511yescharacteristic
488C2×C13#305611yescharacteristic
489C2×C13#318211yescharacteristic
490C2×C13#318311yescharacteristic
491C24—21no—
492C24C2×C22⋊D1311yescharacteristic
493C2×Q8—132no—
494C2×Q8—261no—
495C2×Q8—261no—
496C2×Q8—261no—
497C2×Q8—261no—
498C2×Q8—261no—
499C2×D4—24no—
500C2×D4—21no—
501C2×D4—21no—
502C2×D4—21no—
503C2×D4—21no—
504C2×D4—21no—
505C2×D4—42no—
506C2×D4—42no—
507C2×D4C2×C4×D1312yes—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—22no—
516C22×C4—22no—
517C22×C4—21no—
518C22×C4—21no—
519C22×C4—41no—
520C22×C4—41no—
521C22×C4—42no—
522C22×C4—42no—
523C22×C4—42no—
524C22×C4—261no—
525C22×C4—261no—
526C22×C4—261no—
527C22×C4—261no—
528C22×C4C2×C4×D1312yes—
529C22×C4#612712yes—
530C22×C4C2×C22⋊D1311yescharacteristic
531C22×C4C2×C22⋊D1311yescharacteristic
532C22×C4C2×C22⋊D1311yescharacteristic
533C22×C4C2×C22⋊D1311yescharacteristic
534C22×C4C2×C22⋊D1311yescharacteristic
535C22×C4C23×D1311yescharacteristic
536SD16—268no—
537M16—268no—
538M16—268no—
539C2×C8—132no—
540C2×C8—132no—
541C2×C8—132no—
542C2×C8—132no—
543C2×C8—132no—
544C2×C8—132no—
545C2×C8—261no—
546C2×C8—261no—
547C2×C8—261no—
548C2×C8—261no—
549C2×C8—261no—
550C2×C8—261no—
551C4⋊C4—21no—
552C4⋊C4—21no—
553C4⋊C4—21no—
554C4⋊C4—21no—
555C4⋊C4—21no—
556C4⋊C4—42no—
557C4⋊C4—132no—
558C4⋊C4—264no—
559C4⋊C4—261no—
560C4⋊C4—261no—
561C4⋊C4—261no—
562C4⋊C4—261no—
563C4⋊C4—261no—
564C4⋊C4—522no—
565C4⋊C4—522no—
566C4⋊C4C2×C4×D1312yes—
567C22⋊C4—24no—
568C22⋊C4—42no—
569C22⋊C4—42no—
570C22⋊C4—42no—
571C22⋊C4—42no—
572C22⋊C4—264no—
573C22⋊C4—522no—
574C42—22no—
575C42—22no—
576C42—21no—
577C42—21no—
578C42—42no—
579C42—522no—
580C42—522no—
581C42D4×D1312yes—
582C42#612912yes—
583C13#2154011yescharacteristic, complemented, Sylow
584C23—21no—
585C23—21no—
586C23—21no—
587C23—21no—
588C23—21no—
589C23—21no—
590C23—22no—
591C23—41no—
592C23—41no—
593C23—41no—
594C23—41no—
595C23—41no—
596C23—41no—
597C23C4×C22⋊D1312yes—
598C23C22×C22⋊D1311yescharacteristic
599Q8—262no—
600Q8—262no—
601Q8—521no—
602Q8—521no—
603D4—22no—
604D4—22no—
605D4—48no—
606D4—41no—
607D4—41no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—22no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—44no—
624C2×C4—44no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—84no—
634C2×C4—262no—
635C2×C4—262no—
636C2×C4—521no—
637C2×C4—521no—
638C2×C4—521no—
639C2×C4—521no—
640C2×C4—521no—
641C2×C4—521no—
642C2×C4—521no—
643C2×C4—521no—
644C2×C4—521no—
645C2×C4—521no—
646C2×C4C4×C22⋊D1312yes—
647C2×C4#8818612yes—
648C2×C4#8819312yes—
649C2×C4#8819312yes—
650C2×C4#8820512yes—
651C2×C4C22×C4×D1311yescharacteristic
652C2×C4C2×#612711yescharacteristic
653C2×C4C2×D4×D1311yescharacteristic
654C2×C4C2×#612911yescharacteristic
655C2×C4#41×D1311yescharacteristic
656C2×C4#41×D1311yescharacteristic
657C8—134no—
658C8—262no—
659C8—262no—
660C8—262no—
661C22—22no—
662C22—22no—
663C22—22no—
664C22—41no—
665C22—41no—
666C22—41no—
667C22—41no—
668C22—42no—
669C22—42no—
670C22—42no—
671C22—81no—
672C22—81no—
673C22—81no—
674C22—81no—
675C22C2×C4×C22⋊D1311yescharacteristic
676C22C2×#8818611yescharacteristic
677C22C2×#8819311yescharacteristic
678C22#1171952711yescharacteristic
679C22#1171952711yescharacteristic
680C22C2×#8820511yescharacteristic
681C22#1171953711yescharacteristic
682C4—22no—
683C4—22no—
684C4—22no—
685C4—22no—
686C4—22no—
687C4—42no—
688C4—81no—
689C4—81no—
690C4—522no—
691C4—522no—
692C4—1041no—
693C4—1041no—
694C4C4×#612911yescharacteristic
695C4#1171924311yescharacteristic
696C4C4×D4×D1311yescharacteristic
697C4#1171925211yescharacteristic
698C2—42no—
699C2—82no—
700C2C4×#8819311yescharacteristic
701C2C4×#8818611yescharacteristic
702C2C4×#8820511yescharacteristic
703C2#1312445111yescharacteristic
704C2#1312446811yescharacteristic
705C2#1312555011yescharacteristic
706C2#1312555911yescharacteristic
subgroupG/H
centerC23C22×C22⋊D13
commutatorC2×C4×C13C23×C4
FrattiniC22×C4C23×D13
FittingC4×C13×#121C2
socleC23×C13C22×D4
prime radicalC2×C13×#121C22
cosocleC22×C4×C13C24
hypercenterC4×#121D13
hypocenterC13#21540
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C23 ◁ C22×C42 ◁ C4×#121

Complements

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

NH ≅ G/Ntype
2. C2×#11718679C2semidirect
3. C2×C4×#6099C2semidirect
4. C4×#88178C2semidirect
5. #13115689C2semidirect
6. #13115566C2semidirect
7. #13115522C2semidirect
8. #13115511C2semidirect
10. #13115267C2semidirect
11. #13114867C2semidirect
12. #13114734C2semidirect
13. #13114669C2semidirect
14. #13114661C2semidirect
38. #11718703C4semidirect
94. C2×#6105C2×C4semidirect
99. #88178C2×C4semidirect
110. C2×#6099C2×C4semidirect
122. #88072C2×C4semidirect
130. #88050C2×C4semidirect
133. #88047C2×C4semidirect
135. #88043D4semidirect
322. #1055C4×D4semidirect
583. C13#21540semidirect

Maximal subgroups

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

subgroupindex
C2×#117187032
C2×#117186792
C2×C4×#60992
C4×#881782
#131156892
#131155662
#131155222
#131155112
#131152752
#131152672
#131148672
#131147342
#131146692
#131146612
C4×C13×#1212
#2154013