Finite Group Databasebeta

← #16022079

Subgroups — #16022079

Order 3328.

2210 conjugacy classes of subgroups.

The subgroup lattice has 684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11719224C211yesmaximal, characteristic
2#13117583C212yesmaximal, complemented
3#13117582C212yesmaximal, complemented
4#13117576C212yesmaximal, complemented
5#13117575C212yesmaximal, complemented
6#13117567C214yesmaximal
7#13117460C211yesmaximal, characteristic
8#13117452C211yesmaximal, characteristic
9#13117407C212yesmaximal, complemented
10#13117403C212yesmaximal, complemented
11#13117395C212yesmaximal, complemented
12#13117391C212yesmaximal, complemented
13#13117368C214yesmaximal
14#117×Dic13C211yesmaximal, characteristic
15#117×Dic13C211yesmaximal, characteristic
16C2×C4⋊C4×Dic13C211yesmaximal, characteristic
17C13×#2317C211yesmaximal, characteristic
18C2×C13×#117C2211yescharacteristic
19C2×C13×#117C2211yescharacteristic
20C22×C13×C4⋊C4C2211yescharacteristic
21C2×#88180C2211yescharacteristic
22C2×#88180C2211yescharacteristic
23C22×C4⋊Dic13C2211yescharacteristic
24C22×C4×Dic13C2212yes—
25C22×C4×Dic13C2211yescharacteristic
26#11719224C4116yescomplemented
27C2×#88144C2212yes—
28C2×#88142C2212yes—
29C2×#88141C2214yes—
30C2×#88132C2214yes—
31C2×#88124C2212yes—
32C2×#88123C2212yes—
33C13×#389C2212yes—
34C13×#389C2212yes—
35C13×#385C2214yes—
36C13×#384C2212yes—
37C13×#382C2212yes—
38#11718871C2214yes—
39C2×#88071C2212yes—
40#11718639C2214yes—
41#11718639C2214yes—
42#11718638C2212yes—
43#11718637C2212yes—
44C4⋊C4×Dic13C2211yescharacteristic
45C4⋊C4×Dic13C2212yes—
46C4⋊C4×Dic13C2211yescharacteristic
47C4⋊C4×Dic13C2212yes—
48C4⋊C4×Dic13C2211yescharacteristic
49C4⋊C4×Dic13C2211yescharacteristic
50C4⋊C4×Dic13C2214yes—
51C4⋊C4×Dic13C2211yescharacteristic
52C4⋊C4×Dic13C2212yes—
53C4⋊C4×Dic13C2211yescharacteristic
54C4⋊C4×Dic13C2212yes—
55C4⋊C4×Dic13C2211yescharacteristic
56C4⋊C4×Dic13C2211yescharacteristic
57#11718635C2214yes—
58#11718634C2212yes—
59#11718634C2212yes—
60#11718634C2212yes—
61#11718634C2212yes—
62#11718634C2214yes—
63#11718633C2214yes—
64#11718633C2214yes—
65#11718603C2214yes—
66C22⋊C4×Dic13C2212yes—
67C22⋊C4×Dic13C2212yes—
68C22⋊C4×Dic13C2212yes—
69C22⋊C4×Dic13C2212yes—
70#11718593C2212yes—
71#11718593C2212yes—
72C42×Dic13C2212yes—
73C42×Dic13C2212yes—
74#11718589C2212yes—
75#11718589C2212yes—
76#11718314C2214yes—
77#11718314C2214yes—
78#11718313C2214yes—
79#11718313C2214yes—
80#11718310C2214yes—
81#11718310C2214yes—
82#11718307C2214yes—
83#11718307C2214yes—
84C23×C4×C13C2312yes—
85C23×C4×C13C2311yescharacteristic
86C23×Dic13C2311yescharacteristic
87C23×Dic13C2312yes—
88C23×Dic13C2311yescharacteristic
89C22×Dic26C2314yes—
90C13×#117—24no—
91C13×#117C2×C418yes—
92C2×C13×C4⋊C4—24no—
93C2×C13×C4⋊C4C2311yescharacteristic
94C2×C13×C4⋊C4C2312yes—
95C2×C13×C4⋊C4C2311yescharacteristic
96C2×C13×C4⋊C4C2312yes—
97C2×C13×C4⋊C4C2314yes—
98C2×C13×C4⋊C4C2314yes—
99C2×C13×C4⋊C4C2311yescharacteristic
100C2×C13×C4⋊C4C2311yescharacteristic
101C2×C13×C22⋊C4C2312yes—
102C2×C13×C22⋊C4C2312yes—
103C2×C42×C13C2312yes—
104C2×C42×C13C2312yes—
105C2×C22⋊Dic13C2312yes—
106C2×C22⋊Dic13C2312yes—
107#88180—24no—
108#88180C2×C418yes—
109C2×C4⋊Dic13C2×C418yes—
110C2×C4⋊Dic13C2311yescharacteristic
111C2×C4⋊Dic13C2311yescharacteristic
112C2×C4⋊Dic13C2311yescharacteristic
113C2×C4⋊Dic13C2312yes—
114C2×C4⋊Dic13C2314yes—
115C2×C4⋊Dic13C2311yescharacteristic
116C2×C4⋊Dic13C2312yes—
117C2×#6101C2314yes—
118C2×#6101C2314yes—
119C2×#6101C2314yes—
120C2×#6101C2314yes—
121C2×#6101C2314yes—
122C2×#6101C2314yes—
123C2×C4×Dic13—44no—
124C2×C4×Dic13Q818yescomplemented
125C2×C4×Dic13C2312yes—
126C2×C4×Dic13C2312yes—
127C2×C4×Dic13C2314yes—
128C2×C4×Dic13C2312yes—
129C2×C4×Dic13C2312yes—
130C2×C4×Dic13C2312yes—
131C2×C4×Dic13C2314yes—
132C2×C4×Dic13C2312yes—
133C2×C4×Dic13C2312yes—
134C2×C4×Dic13C2312yes—
135C2×C4×Dic13C2312yes—
136C2×C4×Dic13C2312yes—
137C2×C4×Dic13C2311yescharacteristic
138C2×C4×Dic13C2311yescharacteristic
139C2×C4×Dic13C2311yescharacteristic
140C2×C4×Dic13C2311yescharacteristic
141#88144C2×C4116yescomplemented
142#88142C2×C4116yescomplemented
143#88141—48no—
144#88132C2×C4132yes—
145#88124C2×C4116yescomplemented
146#88123C2×C4116yescomplemented
147C13×#95C2314yes—
148C13×#95C2314yes—
149#88071C2312yes—
150#88071C2312yes—
151#88071C2312yes—
152#88071C2314yes—
153#88071C2314yes—
154#88071C2314yes—
155#88071C2314yes—
156#88071C2312yes—
157#88071C2314yes—
158#88071C2312yes—
159#88071C2312yes—
160#88071C2314yes—
161#88071C2312yes—
162#88071C2312yes—
163C4×#544—131nomaximal, Sylow
164C24×C13C2411yescharacteristic
165C22×C4×C13—24no—
166C22×C4×C13—42no—
167C22×C4×C13—42no—
168C22×C4×C13C22×C414yes—
169C22×C4×C13C2×Q814yes—
170C22×C4×C13#4114yes—
171C22×C4×C13C2412yes—
172C22×C4×C13C2414yes—
173C22×C4×C13C2412yes—
174C22×C4×C13C2412yes—
175C22×C4×C13C2412yes—
176C22×C4×C13C2411yescharacteristic
177C22×C4×C13C2411yescharacteristic
178C22×Dic13—22no—
179C22×Dic13—22no—
180C22×Dic13—42no—
181C22×Dic13—41no—
182C22×Dic13—41no—
183C22×Dic13—42no—
184C22×Dic13C22×C418yes—
185C22×Dic13C2×Q814yes—
186C22×Dic13C2×Q814yes—
187C22×Dic13C2412yes—
188C22×Dic13C2412yes—
189C22×Dic13C2412yes—
190C22×Dic13C2412yes—
191C22×Dic13C2414yes—
192C22×Dic13C2411yescharacteristic
193C22×Dic13C2411yescharacteristic
194C22×Dic13C2411yescharacteristic
195C22×Dic13C2411yescharacteristic
196C2×Dic26—44no—
197C2×Dic26—44no—
198C2×Dic26C22×C4116yes—
199C13×C4⋊C4—24no—
200C13×C4⋊C4—24no—
201C13×C4⋊C4—22no—
202C13×C4⋊C4—22no—
203C13×C4⋊C4—44no—
204C13×C4⋊C4—44no—
205C13×C4⋊C4C22×C414yes—
206C13×C4⋊C4C22×C414yes—
207C13×C22⋊C4—24no—
208C13×C22⋊C4C22×C418yes—
209C42×C13—24no—
210C42×C13C22×C418yes—
211C22⋊Dic13—24no—
212C22⋊Dic13C22×C418yes—
213C4⋊Dic13—22no—
214C4⋊Dic13—22no—
215C4⋊Dic13C22×C414yes—
216C4⋊Dic13C22×C418yes—
217C4⋊Dic13C22×C4116yes—
218C4⋊Dic13C22×C414yes—
219C4⋊Dic13C22×C418yes—
220#6101—44no—
221#6101—44no—
222#6101—44no—
223#6101—44no—
224#6101C22×C4116yes—
225#6101C22×C4116yes—
226C4×Dic13—24no—
227C4×Dic13—24no—
228C4×Dic13—24no—
229C4×Dic13—28no—
230C4×Dic13—24no—
231C4×Dic13—24no—
232C4×Dic13—44no—
233C4×Dic13—42no—
234C4×Dic13—42no—
235C4×Dic13—42no—
236C4×Dic13—42no—
237C4×Dic13C22×C418yes—
238C4×Dic13C2×Q814yes—
239C4×Dic13C2×Q814yes—
240C4×Dic13C2×Q814yes—
241C4×Dic13C2×Q814yes—
242C2×#544—131no—
243#2331—132no—
244#2331—132no—
245#2330—132no—
246#2330—132no—
247#2329—134no—
248#2317—131no—
249#2317D1311yescharacteristic
250#2316—131no—
251C4×C4⋊Q8—132no—
252C4×C4⋊Q8—132no—
253C4×#125—132no—
254C4×#125—132no—
255C4×C22⋊Q8—134no—
256C4×#117—131no—
257C4×#117—131no—
258C2×C4×C4⋊C4—131no—
259C23×C13—21no—
260C23×C13—21no—
261C23×C13—21no—
262C23×C13—21no—
263C23×C13C23×C412yes—
264C23×C13C22×Q812yes—
265C23×C13C2×#4112yes—
266C23×C13C2511yescharacteristic
267C2×C4×C13—22no—
268C2×C4×C13—22no—
269C2×C4×C13—22no—
270C2×C4×C13—22no—
271C2×C4×C13—22no—
272C2×C4×C13—22no—
273C2×C4×C13—24no—
274C2×C4×C13—24no—
275C2×C4×C13—22no—
276C2×C4×C13—22no—
277C2×C4×C13—22no—
278C2×C4×C13—22no—
279C2×C4×C13—24no—
280C2×C4×C13—48no—
281C2×C4×C13C4×Q8116yescomplemented
282C2×C4×C13C23×C414yes—
283C2×C4×C13C23×C414yes—
284C2×C4×C13C23×C412yes—
285C2×C4×C13C23×C412yes—
286C2×C4×C13C22×Q812yes—
287C2×C4×C13C22×Q812yes—
288C2×C4×C13C2×#4112yes—
289C2×C4×C13C2×#4112yes—
290C2×Dic13—24no—
291C2×Dic13—22no—
292C2×Dic13—21no—
293C2×Dic13—22no—
294C2×Dic13—21no—
295C2×Dic13—21no—
296C2×Dic13—21no—
297C2×Dic13—21no—
298C2×Dic13—21no—
299C2×Dic13—22no—
300C2×Dic13—22no—
301C2×Dic13—24no—
302C2×Dic13—28no—
303C2×Dic13—22no—
304C2×Dic13—22no—
305C2×Dic13—22no—
306C2×Dic13—22no—
307C2×Dic13—22no—
308C2×Dic13—22no—
309C2×Dic13—48no—
310C2×Dic13—44no—
311C2×Dic13C23×C414yes—
312C2×Dic13C23×C414yes—
313C2×Dic13C23×C418yes—
314C2×Dic13C22×Q812yes—
315C2×Dic13C22×Q812yes—
316C2×Dic13C22×Q812yes—
317C2×Dic13C22×Q812yes—
318C2×Dic13H(5,𝔽2)12yes—
319C2×Dic132−1+412yes—
320Dic26—416no—
321#544—1316no—
322C2×C4⋊Q8—132no—
323C2×C4⋊Q8—132no—
324C2×#125—132no—
325C2×#125—132no—
326C2×C22⋊Q8—134no—
327C2×C4×Q8—134no—
328C2×#117—131no—
329C2×#117—131no—
330C2×#117C2×D1311yescharacteristic
331C2×#117C2×D1311yescharacteristic
332C22×C4⋊C4—131no—
333C22×C4⋊C4C2×D1311yescharacteristic
334C22×C42—131no—
335C22×C42—132no—
336#391—134no—
337#391—134no—
338#391—134no—
339#389—132no—
340#389—132no—
341#389—132no—
342#389—132no—
343#389—134no—
344#389—134no—
345#389—134no—
346#389—132no—
347#389—132no—
348#389C2×D1312yes—
349#389C2×D1312yes—
350#387—134no—
351#387—134no—
352#387—134no—
353#387—134no—
354#387—134no—
355#387—134no—
356#385—134no—
357#385C2×D1314yes—
358#384—132no—
359#384C2×D1312yes—
360#382—132no—
361#382C2×D1312yes—
362#380—134no—
363C4×C4⋊C4—131no—
364C4×C4⋊C4—131no—
365C4×C4⋊C4—132no—
366C4×C4⋊C4—132no—
367C4×C4⋊C4—134no—
368C4×C4⋊C4—131no—
369C4×C4⋊C4—131no—
370C4×C4⋊C4—131no—
371C4×C4⋊C4—131no—
372C4×C4⋊C4—132no—
373C4×C4⋊C4—132no—
374C4×C4⋊C4—131no—
375C4×C4⋊C4—131no—
376C4×C4⋊C4—134no—
377C4×C4⋊C4—134no—
378C4×C22⋊C4—132no—
379C4×C22⋊C4—132no—
380C4×C22⋊C4—132no—
381C4×C22⋊C4—132no—
382#376—132no—
383#376—132no—
384C2×#95—132no—
385C43—132no—
386C43—132no—
387C22×C13—22no—
388C22×C13—22no—
389C22×C13—22no—
390C22×C13—22no—
391C22×C13—22no—
392C22×C13—22no—
393C22×C13C2×C4×Q814yes—
394C22×C13C24×C411yescharacteristic
395C22×C13C23×Q811yescharacteristic
396C22×C13C22×#4111yescharacteristic
397C22×C13C2×H(5,𝔽2)11yescharacteristic
398C22×C13C2×2−1+411yescharacteristic
399C22×C13#58511yescharacteristic
400C22×C13#58511yescharacteristic
401C4×C13—24no—
402C4×C13—24no—
403C4×C13—42no—
404C4×C13—44no—
405C4×C13—42no—
406C4×C13C2×C4×Q814yes—
407C4×C13C2×C4×Q814yes—
408Dic13—24no—
409Dic13—28no—
410Dic13—24no—
411Dic13—22no—
412Dic13—22no—
413Dic13—22no—
414Dic13—42no—
415Dic13—42no—
416Dic13#54414yescomplemented
417C22×Q8—134no—
418C23×C4—131no—
419C23×C4—132no—
420C23×C4—131no—
421C23×C4C22×D1312yes—
422C23×C4C22×D1311yescharacteristic
423C4⋊Q8—1316no—
424C4⋊Q8—1316no—
425#125—1316no—
426#125—1316no—
427C22⋊Q8—1332no—
428C4×Q8—528no—
429#117—24no—
430#117—138no—
431#117—264no—
432#117C4×D1318yes—
433C2×C4⋊C4—24no—
434C2×C4⋊C4—138no—
435C2×C4⋊C4—132no—
436C2×C4⋊C4—132no—
437C2×C4⋊C4—131no—
438C2×C4⋊C4—131no—
439C2×C4⋊C4—134no—
440C2×C4⋊C4—134no—
441C2×C4⋊C4—134no—
442C2×C4⋊C4—131no—
443C2×C4⋊C4—131no—
444C2×C4⋊C4—134no—
445C2×C4⋊C4—134no—
446C2×C4⋊C4—134no—
447C2×C4⋊C4—134no—
448C2×C4⋊C4C22×D1312yes—
449C2×C4⋊C4C22×D1312yes—
450C2×C4⋊C4C22×D1311yescharacteristic
451C2×C4⋊C4C22×D1311yescharacteristic
452C2×C4⋊C4C22×D1314yes—
453C2×C4⋊C4C22×D1314yes—
454C2×C4⋊C4C22×D1311yescharacteristic
455C2×C4⋊C4C22×D1311yescharacteristic
456C2×C22⋊C4—132no—
457C2×C22⋊C4—132no—
458C2×C22⋊C4C22×D1312yes—
459C2×C22⋊C4C22×D1312yes—
460C2×C42—138no—
461C2×C42—132no—
462C2×C42—131no—
463C2×C42—131no—
464C2×C42—131no—
465C2×C42—131no—
466C2×C42—132no—
467C2×C42—132no—
468C2×C42—132no—
469C2×C42—134no—
470C2×C42—132no—
471C2×C42—132no—
472C2×C42—132no—
473C2×C42—132no—
474C2×C42—132no—
475C2×C42—132no—
476C2×C42—134no—
477C2×C42—524no—
478C2×C42C22×D1312yes—
479C2×C42C22×D1312yes—
480#95—134no—
481#95—134no—
482#95—132no—
483#95—132no—
484#95—132no—
485#95—132no—
486#95—132no—
487#95—132no—
488#95—132no—
489#95—132no—
490#95—134no—
491#95—134no—
492#95—134no—
493#95—134no—
494#95C22×D1314yes—
495#95C22×D1314yes—
496C2×C13—24no—
497C2×C13C22×C4×Q811yescharacteristic
498C2×C13C4×H(5,𝔽2)11yescharacteristic
499C2×C13C4×2−1+411yescharacteristic
500C2×C13C2×#54411yescharacteristic
501C2×C13#345811yescharacteristic
502C2×C13#346011yescharacteristic
503C2×C13#346111yescharacteristic
504C24C23×D1311yescharacteristic
505C2×Q8—1316no—
506C2×Q8—524no—
507C2×Q8—524no—
508C22×C4—24no—
509C22×C4—42no—
510C22×C4—42no—
511C22×C4—131no—
512C22×C4—134no—
513C22×C4—131no—
514C22×C4—131no—
515C22×C4—131no—
516C22×C4—132no—
517C22×C4—132no—
518C22×C4—134no—
519C22×C4—138no—
520C22×C4—134no—
521C22×C4—132no—
522C22×C4—132no—
523C22×C4—262no—
524C22×C4—262no—
525C22×C4—522no—
526C22×C4—521no—
527C22×C4—521no—
528C22×C4—522no—
529C22×C4C2×C4×D1314yes—
530C22×C4#612914yes—
531C22×C4Q8×D1314yes—
532C22×C4C23×D1312yes—
533C22×C4C23×D1314yes—
534C22×C4C23×D1312yes—
535C22×C4C23×D1312yes—
536C22×C4C23×D1312yes—
537C22×C4C23×D1311yescharacteristic
538C22×C4C23×D1311yescharacteristic
539C4⋊C4—24no—
540C4⋊C4—24no—
541C4⋊C4—22no—
542C4⋊C4—22no—
543C4⋊C4—44no—
544C4⋊C4—44no—
545C4⋊C4—138no—
546C4⋊C4—138no—
547C4⋊C4—134no—
548C4⋊C4—134no—
549C4⋊C4—1316no—
550C4⋊C4—1316no—
551C4⋊C4—1316no—
552C4⋊C4—262no—
553C4⋊C4—262no—
554C4⋊C4—524no—
555C4⋊C4—524no—
556C4⋊C4—524no—
557C4⋊C4—524no—
558C4⋊C4C2×C4×D1314yes—
559C4⋊C4C2×C4×D1314yes—
560C22⋊C4—24no—
561C22⋊C4—138no—
562C22⋊C4—264no—
563C22⋊C4C2×C4×D1318yes—
564C42—24no—
565C42—138no—
566C42—134no—
567C42—134no—
568C42—134no—
569C42—134no—
570C42—268no—
571C42—264no—
572C42—264no—
573C42—264no—
574C42—264no—
575C42—264no—
576C42—524no—
577C42—522no—
578C42—522no—
579C42—522no—
580C42—522no—
581C42C2×C4×D1318yes—
582C13C4×#54411yescharacteristic, complemented, Sylow
583C23—21no—
584C23—21no—
585C23—21no—
586C23—21no—
587C23C22×C4×D1312yes—
588C23C2×#612912yes—
589C23C2×Q8×D1312yes—
590C23C24×D1311yescharacteristic
591Q8—5216no—
592C2×C4—22no—
593C2×C4—22no—
594C2×C4—22no—
595C2×C4—22no—
596C2×C4—22no—
597C2×C4—22no—
598C2×C4—24no—
599C2×C4—24no—
600C2×C4—22no—
601C2×C4—22no—
602C2×C4—24no—
603C2×C4—22no—
604C2×C4—22no—
605C2×C4—48no—
606C2×C4—132no—
607C2×C4—132no—
608C2×C4—132no—
609C2×C4—134no—
610C2×C4—134no—
611C2×C4—138no—
612C2×C4—132no—
613C2×C4—132no—
614C2×C4—132no—
615C2×C4—268no—
616C2×C4—264no—
617C2×C4—262no—
618C2×C4—261no—
619C2×C4—261no—
620C2×C4—261no—
621C2×C4—262no—
622C2×C4—262no—
623C2×C4—261no—
624C2×C4—261no—
625C2×C4—261no—
626C2×C4—262no—
627C2×C4—264no—
628C2×C4—262no—
629C2×C4—262no—
630C2×C4—262no—
631C2×C4—262no—
632C2×C4—262no—
633C2×C4—262no—
634C2×C4—524no—
635C2×C4—528no—
636C2×C4#88141116yescomplemented
637C2×C4C22×C4×D1314yes—
638C2×C4C22×C4×D1314yes—
639C2×C4C22×C4×D1312yes—
640C2×C4C22×C4×D1312yes—
641C2×C4C2×#612912yes—
642C2×C4C2×#612912yes—
643C2×C4C2×Q8×D1312yes—
644C2×C4C2×Q8×D1312yes—
645C22—22no—
646C22—22no—
647C22—22no—
648C22—22no—
649C22—22no—
650C22—22no—
651C22C2×#8814114yes—
652C22C23×C4×D1311yescharacteristic
653C22C22×#612911yescharacteristic
654C22C22×Q8×D1311yescharacteristic
655C22D13×H(5,𝔽2)11yescharacteristic
656C22#1171965011yescharacteristic
657C22D13×2−1+411yescharacteristic
658C22#1171965211yescharacteristic
659C4—24no—
660C4—24no—
661C4—42no—
662C4—44no—
663C4—42no—
664C4—134no—
665C4—262no—
666C4—262no—
667C4—262no—
668C4—268no—
669C4—264no—
670C4—264no—
671C4—522no—
672C4—522no—
673C4C2×#8814114yes—
674C4C2×#8814114yes—
675C2—24no—
676C2C22×#8814111yescharacteristic
677C2#1312804211yescharacteristic
678C2#1312804711yescharacteristic
679C2D13×#54411yescharacteristic
680C2#1312824011yescharacteristic
681C2#1312824911yescharacteristic
682C2#1312826011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D13
commutatorC22×C13C24×C4
FittingC13×#2317C2
socle, cosocleC23×C13C25
prime radicalC24×C13C24
hypercenter#2317D13
hypocenterC13C4×#544
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C23 ◁ #2317

Complements

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

NH ≅ G/Ntype
2. #13117583C2semidirect
3. #13117582C2semidirect
4. #13117576C2semidirect
5. #13117575C2semidirect
9. #13117407C2semidirect
10. #13117403C2semidirect
11. #13117395C2semidirect
12. #13117391C2semidirect
26. #11719224C4semidirect
124. C2×C4×Dic13Q8semidirect
141. #88144C2×C4semidirect
142. #88142C2×C4semidirect
145. #88124C2×C4semidirect
146. #88123C2×C4semidirect
281. C2×C4×C13C4×Q8semidirect
416. Dic13#544semidirect
582. C13C4×#544semidirect
636. C2×C4#88141semidirect

Maximal subgroups

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

subgroupindex
C2×#117192242
#131175832
#131175822
#131175762
#131175752
#131175672
#131174602
#131174522
#131174072
#131174032
#131173952
#131173912
#131173682
#117×Dic132
C2×C4⋊C4×Dic132
C13×#23172
C4×#54413