Finite Group Databasebeta

← #16797370

Subgroups — #16797370

Order 3328.

1138 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×#11719145C211yesmaximal, characteristic
2C2×#11719144C211yesmaximal, characteristic
3C2×#11719062C211yesmaximal, characteristic, complemented
4C2×C4×#6122C211yesmaximal, characteristic, complemented
5#13130635C211yesmaximal, characteristic, complemented
6#13130628C211yesmaximal, characteristic, complemented
7#13130624C211yesmaximal, characteristic, complemented
8#13130578C211yesmaximal, characteristic, complemented
9#13130578C211yesmaximal, characteristic, complemented
10#13130578C211yesmaximal, characteristic, complemented
11C22⋊C4×#1057C211yesmaximal, characteristic, complemented
12#13130566C211yesmaximal, characteristic, complemented
13C4×C22⋊#1057C211yesmaximal, characteristic, complemented
14#13130493C211yesmaximal, characteristic, complemented
15#13117276C211yesmaximal, characteristic
16C22×#6122C2211yescharacteristic
17C22×#6122C2211yescharacteristic
18C22×#6122C2211yescharacteristic
19C23×#1057C2211yescharacteristic
20C2×D4×Dic13C2211yescharacteristic
21C22×C4×Dic13C2211yescharacteristic
22C2×#88131C2211yescharacteristic
23C2×C22⋊#1057C2211yescharacteristic
24C2×C22⋊#1057C2211yescharacteristic
25C2×C22⋊#1057C2211yescharacteristic
26C2×C22⋊#1057C2211yescharacteristic
27#11719145C418yescomplemented
28#11719144C418yescomplemented
29C2×#88112C2211yescharacteristic
30C4×#6122—24no—
31C2×#88110C2211yescharacteristic
32C2×#88110C2211yescharacteristic
33C2×#88110C2211yescharacteristic
34C2×#88110C2211yescharacteristic
35C2×#88110C2211yescharacteristic
36C2×C4⋊#1057C2211yescharacteristic
37C2×C4×#1057C2211yescharacteristic
38C2×C4×#1057C2211yescharacteristic
39C2×C4×#1057C2211yescharacteristic
40C2×C4×#1057C2211yescharacteristic
41C2×C4×#1057C2211yescharacteristic
42C2×C4×#1057C2211yescharacteristic
43C2×C4×#1057C2211yescharacteristic
44#11719062—24no—
45C13×#386C411yescharacteristic
46#11718881C411yescharacteristic
47#11718871C411yescharacteristic
48#11718607C411yescharacteristic
49#11718606C411yescharacteristic
50#11718605C411yescharacteristic
51C22⋊C4×Dic13C2211yescharacteristic
52C22⋊C4×Dic13C2211yescharacteristic
53#11718315C411yescharacteristic
54#11718314C411yescharacteristic
55#11718310C2211yescharacteristic
56#11718309C2211yescharacteristic
57#11718290C2211yescharacteristic
58#11718290C2211yescharacteristic
59#11718290C2211yescharacteristic
60#11718290C2211yescharacteristic
61#11718290C2211yescharacteristic
62#11718290C2211yescharacteristic
63C22×D4×C13C2×C411yescharacteristic
64C23×C4×C13C2×C411yescharacteristic
65C23×Dic13C2×C411yescharacteristic
66C23×Dic13C2311yescharacteristic
67C23×Dic13C2311yescharacteristic
68C2×#6122—22no—
69C2×#6122—22no—
70C2×#6122—22no—
71C2×#6122—22no—
72C2×#6122—22no—
73C2×#6122—22no—
74C2×#6122C2×C414yes—
75C2×#6122C2×C414yes—
76C2×#6122C2×C414yescomplemented
77C22×#1057—22no—
78C22×#1057—22no—
79C22×#1057C2×C414yescomplemented
80C22×#1057C2311yescharacteristic
81C22×#1057C2311yescharacteristic
82C22×#1057C2311yescharacteristic
83C22×#1057C2311yescharacteristic
84C22×#1057C2311yescharacteristic
85C22×#1057C2311yescharacteristic
86C22×#1057C2311yescharacteristic
87C22×#1057C2311yescharacteristic
88C2×C13×C22⋊C4C2×C411yescharacteristic
89C2×C13×C22⋊C4C2×C411yescharacteristic
90C2×C13×C22⋊C4C2×C411yescharacteristic
91C2×C22⋊Dic13C2×C411yescharacteristic
92C2×C22⋊Dic13C2×C411yescharacteristic
93C2×C22⋊Dic13C2×C411yescharacteristic
94C2×C22⋊Dic13C2×C411yescharacteristic
95C2×C22⋊Dic13C2×C411yescharacteristic
96D4×Dic13C2×C414yes—
97D4×Dic13C2×C414yes—
98C2×C4⋊Dic13C2×C411yescharacteristic
99C2×#6101C2×C411yescharacteristic
100C2×#6101C2×C411yescharacteristic
101C2×#6101C2×C411yescharacteristic
102C2×#6101C2×C411yescharacteristic
103C2×C4×Dic13—22no—
104C2×C4×Dic13—22no—
105C2×C4×Dic13C2×C411yescharacteristic
106C2×C4×Dic13C2×C411yescharacteristic
107C2×C4×Dic13C2311yescharacteristic
108C2×C4×Dic13C2311yescharacteristic
109C2×C4×Dic13C2311yescharacteristic
110C2×C4×Dic13C2311yescharacteristic
111C2×C4×Dic13C2311yescharacteristic
112#88131—22no—
113#88131—22no—
114C22⋊#1057C2×C414yes—
115C22⋊#1057C2×C414yes—
116C22⋊#1057C2×C414yescomplemented
117C22⋊#1057C2×C414yescomplemented
118#88112C2×C414yescomplemented
119#88110—22no—
120#88110—22no—
121#88110—22no—
122#88110C2×C414yescomplemented
123#88110D414yescomplemented
124C4⋊#1057C2×C414yescomplemented
125C4×#1057—22no—
126C4×#1057—22no—
127C4×#1057—22no—
128C4×#1057—22no—
129C4×#1057—22no—
130C4×#1057—22no—
131C4×#1057C2×C414yescomplemented
132C13×#95C2×C411yescharacteristic
133C13×#95C2×C411yescharacteristic
134#88071C2×C411yescharacteristic
135#88071C2×C411yescharacteristic
136#88071C2×C411yescharacteristic
137#88071C2×C411yescharacteristic
138#88071C2×C411yescharacteristic
139#88071C2×C411yescharacteristic
140#88071C2×C411yescharacteristic
141#88071C2×C411yescharacteristic
142#20490—131nomaximal, Sylow
143C24×C13C22×C411yescharacteristic
144C24×C13C22×C411yescharacteristic
145C2×D4×C13—41no—
146C2×D4×C13—41no—
147C2×D4×C13C4214yes—
148C22×C4×C13—22no—
149C22×C4×C13—22no—
150C22×C4×C13—41no—
151C22×C4×C13C22×C411yescharacteristic
152C22×C4×C13C22×C411yescharacteristic
153C22×C4×C13C22×C411yescharacteristic
154C22×C4×C13C22×C411yescharacteristic
155C22×C4×C13C22×C411yescharacteristic
156C22×Dic13—21no—
157C22×Dic13—21no—
158C22×Dic13—21no—
159C22×Dic13—21no—
160C22×Dic13—21no—
161C22×Dic13—21no—
162C22×Dic13—21no—
163C22×Dic13—21no—
164C22×Dic13—22no—
165C22×Dic13—22no—
166C22×Dic13—41no—
167C22×Dic13C22×C411yescharacteristic
168C22×Dic13C22×C411yescharacteristic
169C22×Dic13C22×C411yescharacteristic
170C22×Dic13C22×C411yescharacteristic
171C22×Dic13C22×C411yescharacteristic
172C22×Dic13C22×C412yes—
173C22×Dic13C22×C412yes—
174C22×Dic13C22×C412yes—
175C22×Dic13C22×C412yes—
176C22×Dic13C22×C411yescharacteristic
177C22×Dic13C22×C411yescharacteristic
178C22×Dic13C2411yescharacteristic
179#6122—28no—
180#6122—28no—
181#6122—28no—
182C2×#1057—21no—
183C2×#1057—21no—
184C2×#1057—21no—
185C2×#1057—21no—
186C2×#1057—21no—
187C2×#1057—21no—
188C2×#1057—21no—
189C2×#1057—21no—
190C2×#1057—21no—
191C2×#1057—21no—
192C2×#1057—21no—
193C2×#1057—21no—
194C2×#1057—28no—
195C2×#1057C22×C412yes—
196C2×#1057C22×C412yes—
197C2×#1057C22×C412yes—
198C2×#1057C22×C412yes—
199C2×#1057C22×C412yes—
200C2×#1057C22×C412yes—
201C2×#1057C22×C412yes—
202C2×#1057C22×C412yes—
203C2×#1057C2×D412yes—
204C2×#1057C2×D412yes—
205C2×#1057#4112yes—
206C2×#1057#4112yes—
207C13×C22⋊C4—22no—
208C13×C22⋊C4—22no—
209C13×C22⋊C4—41no—
210C22⋊Dic13—22no—
211C22⋊Dic13—22no—
212C22⋊Dic13—41no—
213C22⋊Dic13C4214yes—
214C22⋊Dic13C4214yes—
215C4⋊Dic13C4214yes—
216#6101—22no—
217#6101—22no—
218#6101—22no—
219#6101—22no—
220C4×Dic13—22no—
221C4×Dic13—22no—
222C4×Dic13—21no—
223C4×Dic13—21no—
224C4×Dic13—21no—
225C4×Dic13—21no—
226C4×Dic13—21no—
227C4×Dic13—21no—
228C4×Dic13C22×C412yes—
229C4×Dic13C22×C412yes—
230C4×Dic13C2×D412yes—
231C4×Dic13#4112yes—
232C2×#436—131no—
233C2×#435—131no—
234C2×#405—131no—
235C2×C4×M16—131no—
236#2290—131no—
237#1771—131no—
238C8×C4⋊C4—131no—
239#1768—131no—
240#1753—131no—
241#1753—131no—
242#1753—131no—
243C8×C22⋊C4—131no—
244#1750—131no—
245C4×C22⋊C8—131no—
246#1726—131no—
247C23×C13—21no—
248C23×C13—21no—
249C23×C13—21no—
250C23×C13—21no—
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×C13C2×C4212yes—
260C23×C13C2×C4212yes—
261C23×C13C23×C411yescharacteristic
262D4×C13—44no—
263C2×C4×C13—21no—
264C2×C4×C13—21no—
265C2×C4×C13—21no—
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—44no—
276C2×C4×C13C2×C4212yes—
277C2×C4×C13C4×D412yes—
278C2×C4×C13#13112yes—
279C2×Dic13—21no—
280C2×Dic13—21no—
281C2×Dic13—21no—
282C2×Dic13—21no—
283C2×Dic13—21no—
284C2×Dic13—21no—
285C2×Dic13—21no—
286C2×Dic13—21no—
287C2×Dic13—21no—
288C2×Dic13—21no—
289C2×Dic13—22no—
290C2×Dic13—22no—
291C2×Dic13—22no—
292C2×Dic13—22no—
293C2×Dic13—22no—
294C2×Dic13—22no—
295C2×Dic13—22no—
296C2×Dic13—22no—
297C2×Dic13—21no—
298C2×Dic13—21no—
299C2×Dic13—21no—
300C2×Dic13—21no—
301C2×Dic13—21no—
302C2×Dic13—21no—
303C2×Dic13—44no—
304C2×Dic13C2×C4212yes—
305C2×Dic13C2×C4212yes—
306C2×Dic13C2×C4212yes—
307C2×Dic13C4×D412yes—
308C2×Dic13#13112yes—
309C2×Dic13C23×C411yescharacteristic
310C2×Dic13C23×C411yescharacteristic
311C2×Dic13C22×D411yescharacteristic
312C2×Dic13C2×#4111yescharacteristic
313C2×Dic13C2×#4111yescharacteristic
314C2×Dic13C2×#4111yescharacteristic
315#1057—22no—
316#1057—22no—
317#1057—22no—
318#1057—22no—
319#1057—22no—
320#1057—22no—
321#1057C4×D414yes—
322#1057C4×D414yes—
323C22×M16—131no—
324C22×M16—131no—
325C22×M16—131no—
326C23×C8—131no—
327C2×C4×D4—131no—
328C2×#117—131no—
329C22×C42—131no—
330#436—138no—
331#435—138no—
332C2×C4⋊C8—131no—
333C2×C4⋊C8—131no—
334C2×C22⋊C8—131no—
335C2×C22⋊C8—131no—
336C2×C22⋊C8—131no—
337C2×C22⋊C8—131no—
338#405—264no—
339C4×M16—264no—
340C2×#97—131no—
341C2×#97—131no—
342C2×#97—131no—
343C2×#97—131no—
344C2×#97—131no—
345C2×C4×C8—131no—
346C2×C4×C8—131no—
347C2×C4×C8—131no—
348C2×C4×C8—131no—
349C2×C4×C8—131no—
350C2×C4×C8—131no—
351C2×C4×C8—131no—
352#388—131no—
353#388—131no—
354#387—131no—
355#387—131no—
356#386—131no—
357#386#26111yescharacteristic
358#385—131no—
359#385—131no—
360C4×C4⋊C4—131no—
361C4×C22⋊C4—131no—
362C4×C22⋊C4—131no—
363#376—131no—
364#336—131no—
365#336—131no—
366#336—131no—
367#336—131no—
368#336—131no—
369#336—131no—
370C22×C13—22no—
371C22×C13—22no—
372C22×C13—22no—
373C22×C13—22no—
374C22×C13—22no—
375C22×C13—22no—
376C22×C13—41no—
377C22×C13—41no—
378C22×C13—41no—
379C22×C13—41no—
380C22×C13—41no—
381C22×C13—41no—
382C22×C13—41no—
383C22×C13—41no—
384C22×C13C22×C4211yescharacteristic
385C22×C13C2×C4×D411yescharacteristic
386C22×C13C4×#4111yescharacteristic
387C22×C13C2×#13111yescharacteristic
388C22×C13C2×#13111yescharacteristic
389C22×C13#56811yescharacteristic
390C22×C13#56811yescharacteristic
391C4×C13—22no—
392C4×C13—22no—
393C4×C13—22no—
394C4×C13—41no—
395C4×C13—41no—
396Dic13—22no—
397Dic13—22no—
398Dic13—22no—
399Dic13—22no—
400Dic13—22no—
401Dic13—41no—
402Dic13—41no—
403Dic13C2×C4×D411yescharacteristic
404Dic13C2×C4×D411yescharacteristic
405Dic13C4×#4111yescharacteristic
406Dic13C4×#4111yescharacteristic
407C22×D4C2×#26111yescharacteristic
408C23×C4—131no—
409C23×C4—131no—
410C23×C4—131no—
411C23×C4C2×#26111yescharacteristic
412C2×M16—134no—
413C2×M16—134no—
414C2×M16—134no—
415C2×M16—262no—
416C2×M16—262no—
417C2×M16—262no—
418C2×M16—262no—
419C2×M16—262no—
420C2×M16—262no—
421C22×C8—131no—
422C22×C8—131no—
423C22×C8—131no—
424C22×C8—134no—
425C22×C8—131no—
426C22×C8—131no—
427C22×C8—131no—
428C22×C8—131no—
429C22×C8—131no—
430C22×C8—262no—
431C22×C8—262no—
432C4×D4—134no—
433C4×D4—134no—
434#117—262no—
435#117—262no—
436C2×C4⋊C4—131no—
437C2×C4⋊C4—131no—
438C2×C4⋊C4—131no—
439C2×C4⋊C4—131no—
440C2×C4⋊C4—131no—
441C2×C22⋊C4—131no—
442C2×C22⋊C4—131no—
443C2×C22⋊C4—131no—
444C2×C22⋊C4—131no—
445C2×C22⋊C4—131no—
446C2×C22⋊C4C2×#26111yescharacteristic
447C2×C22⋊C4C2×#26111yescharacteristic
448C2×C22⋊C4C2×#26111yescharacteristic
449C2×C42—131no—
450C2×C42—131no—
451C2×C42—131no—
452C2×C42—131no—
453C2×C42—131no—
454C2×C42—131no—
455C2×C42—131no—
456C2×C42—262no—
457C2×C42—262no—
458C4⋊C8—134no—
459C4⋊C8—134no—
460C22⋊C8—134no—
461C22⋊C8—134no—
462C22⋊C8—134no—
463C22⋊C8—134no—
464#97—134no—
465#97—134no—
466#97—262no—
467#97—262no—
468#97—262no—
469C4×C8—134no—
470C4×C8—262no—
471C4×C8—262no—
472C4×C8—262no—
473C4×C8—262no—
474C4×C8—262no—
475C4×C8—262no—
476#95—131no—
477#95—131no—
478#95—131no—
479#95—131no—
480#95—131no—
481#95—131no—
482#95—131no—
483#95—131no—
484#95C2×#26111yescharacteristic
485#95C2×#26111yescharacteristic
486C2×C13—42no—
487C2×C13—42no—
488C2×C13C42×D411yescharacteristic
489C2×C13#287311yescharacteristic
490C2×C13C4×#13111yescharacteristic
491C2×C13#293311yescharacteristic
492C2×C13#293311yescharacteristic
493C2×C13#296911yescharacteristic
494C2×C13#296911yescharacteristic
495C24C22×#26111yescharacteristic
496C24C22×#26111yescharacteristic
497C2×D4—41no—
498C2×D4—41no—
499C2×D4C4×#26114yes—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—41no—
503C22×C4—131no—
504C22×C4—132no—
505C22×C4—132no—
506C22×C4—132no—
507C22×C4—132no—
508C22×C4—131no—
509C22×C4—131no—
510C22×C4—131no—
511C22×C4—131no—
512C22×C4—131no—
513C22×C4—131no—
514C22×C4—131no—
515C22×C4—261no—
516C22×C4—261no—
517C22×C4—261no—
518C22×C4—261no—
519C22×C4—261no—
520C22×C4—261no—
521C22×C4—261no—
522C22×C4—261no—
523C22×C4—262no—
524C22×C4—262no—
525C22×C4—521no—
526C22×C4C22×#26111yescharacteristic
527C22×C4C22×#26111yescharacteristic
528C22×C4C22×#26111yescharacteristic
529C22×C4C22×#26111yescharacteristic
530C22×C4C22×#26111yescharacteristic
531M16—268no—
532M16—268no—
533M16—268no—
534C2×C8—132no—
535C2×C8—132no—
536C2×C8—132no—
537C2×C8—132no—
538C2×C8—132no—
539C2×C8—132no—
540C2×C8—132no—
541C2×C8—132no—
542C2×C8—132no—
543C2×C8—132no—
544C2×C8—132no—
545C2×C8—132no—
546C2×C8—268no—
547C2×C8—261no—
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—
558C2×C8—261no—
559C4⋊C4—134no—
560C4⋊C4—262no—
561C4⋊C4—262no—
562C4⋊C4—262no—
563C4⋊C4—262no—
564C22⋊C4—22no—
565C22⋊C4—22no—
566C22⋊C4—41no—
567C22⋊C4—134no—
568C22⋊C4—134no—
569C22⋊C4—262no—
570C22⋊C4—262no—
571C22⋊C4—521no—
572C42—132no—
573C42—132no—
574C42—132no—
575C42—132no—
576C42—261no—
577C42—261no—
578C42—261no—
579C42—261no—
580C42—261no—
581C42—262no—
582C42—261no—
583C42—262no—
584C13#2049011yescharacteristic, complemented, Sylow
585C23—21no—
586C23—21no—
587C23—21no—
588C23—21no—
589C23—21no—
590C23—21no—
591C23—21no—
592C23—21no—
593C23—21no—
594C23—21no—
595C23—21no—
596C23—21no—
597C23C2×C4×#26112yes—
598C23C2×C4×#26112yes—
599C23C23×#26111yescharacteristic
600D4—44no—
601C2×C4—21no—
602C2×C4—21no—
603C2×C4—21no—
604C2×C4—21no—
605C2×C4—21no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—44no—
614C2×C4—131no—
615C2×C4—131no—
616C2×C4—131no—
617C2×C4—131no—
618C2×C4—131no—
619C2×C4—131no—
620C2×C4—132no—
621C2×C4—132no—
622C2×C4—132no—
623C2×C4—132no—
624C2×C4—132no—
625C2×C4—262no—
626C2×C4—262no—
627C2×C4—262no—
628C2×C4—262no—
629C2×C4—262no—
630C2×C4—262no—
631C2×C4—262no—
632C2×C4—262no—
633C2×C4—261no—
634C2×C4—261no—
635C2×C4—261no—
636C2×C4—261no—
637C2×C4—261no—
638C2×C4—261no—
639C2×C4—261no—
640C2×C4—261no—
641C2×C4—261no—
642C2×C4—261no—
643C2×C4—261no—
644C2×C4—261no—
645C2×C4—261no—
646C2×C4—261no—
647C2×C4—261no—
648C2×C4—261no—
649C2×C4—524no—
650C2×C4C2×C4×#26112yes—
651C2×C4#8823812yes—
652C2×C4D4×#26112yes—
653C8—134no—
654C8—134no—
655C8—262no—
656C8—262no—
657C8—262no—
658C8—262no—
659C8—262no—
660C8—262no—
661C22—22no—
662C22—22no—
663C22—22no—
664C22—22no—
665C22—22no—
666C22—22no—
667C22—41no—
668C22—41no—
669C22—41no—
670C22—41no—
671C22—41no—
672C22—41no—
673C22—41no—
674C22—41no—
675C22C22×C4×#26111yescharacteristic
676C22C2×#8823811yescharacteristic
677C22#1171962111yescharacteristic
678C22#1171962111yescharacteristic
679C22C2×D4×#26111yescharacteristic
680C22D13⋊#13111yescharacteristic
681C22#41×#26111yescharacteristic
682C4—22no—
683C4—22no—
684C4—22no—
685C4—41no—
686C4—41no—
687C4—131no—
688C4—131no—
689C4—131no—
690C4—131no—
691C4—262no—
692C4—262no—
693C4—262no—
694C4—262no—
695C4—262no—
696C4—521no—
697C4—521no—
698C2—42no—
699C2—42no—
700C2C4×D4×#26111yescharacteristic
701C2#1313140011yescharacteristic
702C2C4×#8823811yescharacteristic
703C2#1313156711yescharacteristic
704C2#1313156811yescharacteristic
705C2#1313166711yescharacteristic
706C2#1313167011yescharacteristic
subgroupG/H
center, FrattiniC23C23×#261
commutatorC22×C13C22×C42
FittingC13×#386C4
socleC23×C13C23×C4
prime radicalC22×D4×C13C2×C4
cosocleC22×Dic13C24
hypercenter#386#261
hypocenterC13#20490
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C23 ◁ #386

Complements

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

NH ≅ G/Ntype
3. C2×#11719062C2semidirect
4. C2×C4×#6122C2semidirect
5. #13130635C2semidirect
6. #13130628C2semidirect
7. #13130624C2semidirect
8. #13130578C2semidirect
9. #13130578C2semidirect
10. #13130578C2semidirect
11. C22⋊C4×#1057C2semidirect
12. #13130566C2semidirect
13. C4×C22⋊#1057C2semidirect
14. #13130493C2semidirect
27. #11719145C4semidirect
28. #11719144C4semidirect
76. C2×#6122C2×C4semidirect
79. C22×#1057C2×C4semidirect
116. C22⋊#1057C2×C4semidirect
117. C22⋊#1057C2×C4semidirect
118. #88112C2×C4semidirect
122. #88110C2×C4semidirect
123. #88110D4semidirect
124. C4⋊#1057C2×C4semidirect
131. C4×#1057C2×C4semidirect
584. C13#20490semidirect

Maximal subgroups

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

subgroupindex
C2×#117191452
C2×#117191442
C2×#117190622
C2×C4×#61222
#131306352
#131306282
#131306242
#131305782
C22⋊C4×#10572
#131305662
C4×C22⋊#10572
#131304932
#131172762
#2049013