Finite Group Databasebeta

← C2×#21446831 #29706886

Subgroups — C2×#21446831 #29706886

Order 15616.

2750 conjugacy classes of subgroups.

The subgroup lattice has 740 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840326C211yesmaximal, characteristic, complemented
2C22×#14519773C211yesmaximal, characteristic, complemented
3C22×#14519704C211yesmaximal, characteristic, complemented
4C2×#16839767C211yesmaximal, characteristic, complemented
5C22×#14519693C211yesmaximal, characteristic, complemented
6#21446831C218yesmaximal, direct product factor
7C2×#16839523C211yesmaximal, characteristic, complemented
8C22×AGL(1,ℤ/8)×C61C211yesmaximal, characteristic, complemented
9C23×D244C2211yescharacteristic
10C23×C22⋊D61—22no—
11C22×#11758194C2211yescharacteristic
12#16840326—22no—
13#16840326—22no—
14#16840326—22no—
15#16840326C2214yescomplemented
16C2×#14519773—24no—
17C2×#14519773—24no—
18C2×#14519773—21no—
19C2×#14519773—22no—
20C2×#14519773C2214yescomplemented
21C2×#14519766—21no—
22C2×#14519751—22no—
23C2×#14519745—22no—
24C2×#14519736C2211yescharacteristic
25C22×C4×Dic61C2211yescharacteristic
26C2×#14519704—24no—
27C2×#14519704C2214yescomplemented
28#16839767—22no—
29#16839767C2214yescomplemented
30C2×#14519698—22no—
31C2×#14519693—24no—
32C2×#14519693C2214yescomplemented
33#16839523C2214yescomplemented
34C22×#41×C61C2211yescharacteristic
35C23×D4×C61C2211yescharacteristic
36C2×AGL(1,ℤ/8)×C61—22no—
37C2×AGL(1,ℤ/8)×C61—24no—
38C2×AGL(1,ℤ/8)×C61—24no—
39C2×AGL(1,ℤ/8)×C61C2214yescomplemented
40C22×SD16×C61—21no—
41C22×D8×C61—21no—
42C22×M16×C61C2211yescharacteristic
43C24×D61D412yes—
44C22×D244—22no—
45C22×D244—21no—
46C22×D244—21no—
47C22×D244—22no—
48C22×D244—22no—
49C22×D244—21no—
50C22×D244—21no—
51C22×D244—22no—
52C22×D244D412yes—
53C22×D244C2312yes—
54C22×C22⋊D61—216no—
55C22×C22⋊D61—28no—
56C22×C22⋊D61—24no—
57C22×C22⋊D61—416no—
58C23×Dic61—21no—
59C2×#11758194—21no—
60C2×#11758194—22no—
61C2×#11758194—22no—
62C2×#11758194C2312yes—
63C22×#92418—21no—
64#14519773—216no—
65#14519773—24no—
66#14519773—28no—
67#14519773—24no—
68#14519773—28no—
69#14519766—24no—
70#14519766—24no—
71#14519751—28no—
72#14519751—28no—
73#14519745—28no—
74#14519745—28no—
75#14519736—21no—
76#14519736—21no—
77#14519736D412yescomplemented
78#14519736C2312yes—
79C2×C4⋊Dic61D412yescomplemented
80C2×C22⋊Dic61—21no—
81C2×#11758198—24no—
82C2×C4×Dic61—21no—
83C2×C4×Dic61—22no—
84C2×C4×Dic61—21no—
85C2×C4×Dic61D414yescomplemented
86C2×C4×Dic61C2312yes—
87#14519704—28no—
88#14519698—28no—
89#14519693—28no—
90C25×C61—21no—
91C2×#41×C61—21no—
92C2×#41×C61—21no—
93C2×#41×C61—22no—
94C2×#41×C61—22no—
95C2×#41×C61—22no—
96C2×#41×C61—22no—
97C2×#41×C61D412yescomplemented
98C2×#41×C61C2312yes—
99C22×Q8×C61D411yescharacteristic, complemented
100C22×D4×C61—21no—
101C22×D4×C61—21no—
102C22×D4×C61—21no—
103C22×D4×C61—22no—
104C22×D4×C61—21no—
105C22×D4×C61—21no—
106C22×D4×C61—21no—
107C22×D4×C61—22no—
108C22×D4×C61—22no—
109C22×D4×C61D411yescharacteristic, complemented
110C22×D4×C61D414yescomplemented
111C22×D4×C61C2312yes—
112C23×C4×C61—21no—
113C23×C4×C61C2311yescharacteristic
114AGL(1,ℤ/8)×C61—216no—
115AGL(1,ℤ/8)×C61—28no—
116AGL(1,ℤ/8)×C61—28no—
117C2×SD16×C61—28no—
118C2×SD16×C61—24no—
119C2×D8×C61—28no—
120C2×D8×C61—24no—
121C2×M16×C61—22no—
122C2×M16×C61—21no—
123C2×M16×C61D414yescomplemented
124C2×M16×C61C2312yes—
125C22×C8×C61—21no—
126C24×C61—21no—
127C24×C61—24no—
128C24×C61—22no—
129C24×C61—48no—
130C24×C61—41no—
131C24×C61—41no—
132C24×C61—42no—
133C24×C61C2×D411yescharacteristic
134C23×D61—24no—
135C23×D61—22no—
136C23×D61—22no—
137C23×D61—24no—
138C23×D61—48no—
139C23×D61C2×D414yes—
140#41×C61—24no—
141#41×C61—24no—
142#41×C61—22no—
143#41×C61—22no—
144#41×C61—22no—
145#41×C61—22no—
146#41×C61—42no—
147#41×C61—42no—
148#41×C61—42no—
149#41×C61—42no—
150C2×Q8×C61—21no—
151C2×Q8×C61—22no—
152C2×Q8×C61—22no—
153C2×Q8×C61C2×D412yescomplemented
154C2×D4×C61—22no—
155C2×D4×C61—22no—
156C2×D4×C61—22no—
157C2×D4×C61—24no—
158C2×D4×C61—24no—
159C2×D4×C61—24no—
160C2×D4×C61—21no—
161C2×D4×C61—24no—
162C2×D4×C61—24no—
163C2×D4×C61—22no—
164C2×D4×C61—22no—
165C2×D4×C61—22no—
166C2×D4×C61—22no—
167C2×D4×C61—22no—
168C2×D4×C61—22no—
169C2×D4×C61—42no—
170C2×D4×C61—42no—
171C2×D4×C61—41no—
172C2×D4×C61—41no—
173C2×D4×C61—42no—
174C2×D4×C61—42no—
175C2×D4×C61—42no—
176C2×D4×C61—42no—
177C2×D4×C61—42no—
178C2×D4×C61C2×D412yescomplemented
179C2×D4×C61C2×D414yescomplemented
180C22×C4×C61—21no—
181C22×C4×C61—22no—
182C22×C4×C61—22no—
183C22×C4×C61—42no—
184C22×C4×C61—42no—
185C22×C4×C61C2×D411yescharacteristic
186C22×C4×C61C2×D411yescharacteristic
187C22×C4×C61C2×D411yescharacteristic
188C22×C4×C61C2×D412yes—
189C22×C4×C61C2×D412yes—
190C22×C4×C61C2×D411yescharacteristic
191C22×C4×C61C2×D412yes—
192C22×C4×C61C2×D411yescharacteristic
193C22×C4×C61#4112yes—
194C22×C4×C61C2411yescharacteristic
195C2×C22⋊D61—232no—
196C2×C22⋊D61—216no—
197C2×C22⋊D61—432no—
198C2×C22⋊D61—464no—
199C2×C22⋊D61—88no—
200C22×Dic61—28no—
201C22×Dic61—24no—
202C22×Dic61—22no—
203C22×Dic61—22no—
204C2×D244—22no—
205C2×D244—22no—
206C2×D244—24no—
207C2×D244—24no—
208C2×D244—22no—
209C2×D244—22no—
210C2×D244—22no—
211C2×D244—22no—
212C2×D244—22no—
213C2×D244—22no—
214C2×D244—42no—
215C2×D244—42no—
216C2×D244—42no—
217C2×D244—42no—
218C2×D244—42no—
219C2×D244—42no—
220C2×D244—42no—
221C2×D244—42no—
222SD16×C61—216no—
223D8×C61—216no—
224M16×C61—24no—
225M16×C61—22no—
226M16×C61C2×D414yescomplemented
227C2×C8×C61—24no—
228C2×C8×C61—22no—
229C22⋊Dic61—22no—
230C22⋊Dic61—22no—
231#11758198—216no—
232C4⋊Dic61—22no—
233C4⋊Dic61C2×D414yescomplemented
234C4×Dic61—24no—
235C4×Dic61—22no—
236C4×Dic61—22no—
237C4×Dic61—22no—
238C4×Dic61C2×D414yescomplemented
239#11758194—22no—
240#11758194—22no—
241#11758194—42no—
242C2×#92418—22no—
243C2×#92418—42no—
244C23×C61—24no—
245C23×C61—22no—
246C23×C61—24no—
247C23×C61—48no—
248C23×C61—416no—
249C23×C61—42no—
250C23×C61—42no—
251C23×C61—42no—
252C23×C61—44no—
253C23×C61—44no—
254C23×C61—44no—
255C23×C61—84no—
256C23×C61—88no—
257C23×C61—84no—
258C23×C61#12011yescharacteristic
259C23×C61#12012yes—
260C23×C61#12011yescharacteristic
261C23×C61#12112yes—
262C23×C61C22×D411yescharacteristic
263C22×D61—24no—
264C22×D61—24no—
265C22×D61—24no—
266C22×D61—48no—
267C22×D61—416no—
268C22×D61—44no—
269C22×D61—44no—
270C22×D61—48no—
271C22×D61—84no—
272C22×D61—88no—
273Q8×C61—22no—
274Q8×C61—22no—
275Q8×C61—42no—
276D4×C61—22no—
277D4×C61—24no—
278D4×C61—24no—
279D4×C61—22no—
280D4×C61—42no—
281D4×C61—42no—
282D4×C61—44no—
283D4×C61—42no—
284D4×C61—42no—
285D4×C61—44no—
286D4×C61—44no—
287D4×C61—42no—
288C2×C4×C61—22no—
289C2×C4×C61—42no—
290C2×C4×C61—42no—
291C2×C4×C61—42no—
292C2×C4×C61—44no—
293C2×C4×C61#12012yes—
294C2×C4×C61#12012yes—
295C2×C4×C61#12012yes—
296C2×C4×C61#12011yescharacteristic
297C2×C4×C61#12011yescharacteristic
298C2×C4×C61#12112yes—
299C2×C4×C61#12112yes—
300C2×C4×C61#12112yes—
301C2×C4×C61#12112yes—
302C2×C4×C61#12112yes—
303C2×C4×C61#12712yes—
304C2×C4×C61#12712yes—
305C2×C4×C61C22×D411yescharacteristic
306C2×C4×C61C22×D411yescharacteristic
307C2×C4×C61C22×D411yescharacteristic
308C2×C4×C61C22×D411yescharacteristic
309C2×C4×C61C22×D411yescharacteristic
310C2×C4×C61C2×#4111yescharacteristic
311C22⋊D61—464no—
312C22⋊D61—816no—
313C2×Dic61—28no—
314C2×Dic61—216no—
315C2×Dic61—24no—
316C2×Dic61—24no—
317C2×Dic61—44no—
318D244—42no—
319D244—42no—
320D244—42no—
321D244—42no—
322D244—44no—
323D244—44no—
324C8×C61—24no—
325#92418—42no—
326C2×#2002—611nomaximal, Sylow
327C22×C61—22no—
328C22×C61—22no—
329C22×C61—24no—
330C22×C61—24no—
331C22×C61—48no—
332C22×C61—42no—
333C22×C61—44no—
334C22×C61—44no—
335C22×C61—84no—
336C22×C61—88no—
337C22×C61—84no—
338C22×C61—84no—
339C22×C61—88no—
340C22×C61#39212yes—
341C22×C61#39212yes—
342C22×C61#45314yes—
343C22×C61C2×#12011yescharacteristic
344C22×C61C2×#12011yescharacteristic
345C22×C61C2×#12111yescharacteristic
346C2×D61—48no—
347C2×D61—44no—
348C2×D61—48no—
349C2×D61—88no—
350C2×D61—88no—
351C2×D61—84no—
352C4×C61—42no—
353C4×C61#39212yes—
354C4×C61#39212yes—
355C4×C61C2×#12011yescharacteristic
356C4×C61C2×#12111yescharacteristic
357C4×C61C2×#12111yescharacteristic
358C4×C61C2×#12711yescharacteristic
359Dic61—28no—
360Dic61—44no—
361C22×AGL(1,ℤ/8)D6111yescharacteristic, complemented
362C2×#535—611no—
363C22×#127—611no—
364C22×#104—611no—
365C2×#418—611no—
366C22×#100—611no—
367#2002—618no—
368C2×#339—611no—
369C2×C61—21no—
370C2×C61—21no—
371C2×C61—22no—
372C2×C61—82no—
373C2×C61—84no—
374C2×C61#200214yescomplemented
375C2×C61C2×#39211yescharacteristic
376C2×C61C2×#45312yes—
377D61—84no—
378C22×#41C2×D6111yescharacteristic
379C23×D4—611no—
380C23×D4—1222no—
381C23×D4C2×D6111yescharacteristic
382C2×AGL(1,ℤ/8)—22no—
383C2×AGL(1,ℤ/8)—24no—
384C2×AGL(1,ℤ/8)—24no—
385C2×AGL(1,ℤ/8)C2×D6114yescomplemented
386C22×SD16—21no—
387C22×D8—21no—
388C22×M16—611no—
389C22×M16C2×D6111yescharacteristic
390#535—614no—
391#535—1222no—
392#535—1222no—
393#535—1222no—
394C2×#127—614no—
395C2×#127—1224no—
396C2×#127—1222no—
397C2×#127—1224no—
398C2×#127—1221no—
399C2×#124—1221no—
400C2×#121—1222no—
401C2×#120—1222no—
402C2×#117—611no—
403C22×C42—611no—
404C2×#104—614no—
405C2×#104—1224no—
406#418—614no—
407#418—1222no—
408C2×#102—1222no—
409C2×#100—614no—
410C2×#100—1224no—
411#339—614no—
412C61C2×#200211yescharacteristic, complemented, Sylow
413C25—21no—
414C25—612no—
415C2×#41—21no—
416C2×#41—21no—
417C2×#41—22no—
418C2×#41—22no—
419C2×#41—22no—
420C2×#41—22no—
421C2×#41C22⋊D6112yescomplemented
422C2×#41C22×D6112yes—
423C22×Q8C22⋊D6111yescharacteristic, complemented
424C22×D4—21no—
425C22×D4—21no—
426C22×D4—21no—
427C22×D4—22no—
428C22×D4—21no—
429C22×D4—22no—
430C22×D4—21no—
431C22×D4—21no—
432C22×D4—22no—
433C22×D4—612no—
434C22×D4—612no—
435C22×D4—1224no—
436C22×D4—1228no—
437C22×D4—12216no—
438C22×D4—1221no—
439C22×D4—1222no—
440C22×D4—1221no—
441C22×D4—1222no—
442C22×D4—1221no—
443C22×D4—1222no—
444C22×D4—1221no—
445C22×D4—1222no—
446C22×D4—24416no—
447C22×D4C22⋊D6111yescharacteristic, complemented
448C22×D4C22⋊D6114yescomplemented
449C22×D4C22×D6112yes—
450C23×C4—21no—
451C23×C4—1221no—
452C23×C4C22×D6111yescharacteristic
453AGL(1,ℤ/8)—216no—
454AGL(1,ℤ/8)—28no—
455AGL(1,ℤ/8)—28no—
456C2×SD16—28no—
457C2×SD16—24no—
458C2×D8—28no—
459C2×D8—24no—
460C2×M16—21no—
461C2×M16—22no—
462C2×M16—612no—
463C2×M16—1221no—
464C2×M16—1222no—
465C2×M16—1222no—
466C2×M16C22⋊D6114yescomplemented
467C2×M16C22×D6112yes—
468C22×C8—21no—
469C22×C8—1221no—
470#127—1228no—
471#127—12216no—
472#127—1224no—
473#127—1228no—
474#127—1224no—
475#124—1224no—
476#124—1224no—
477#121—1228no—
478#121—1228no—
479#120—1228no—
480#120—1228no—
481#117—612no—
482#117—612no—
483#117—1221no—
484#117—1221no—
485C2×C4⋊C4—612no—
486C2×C22⋊C4—1224no—
487C2×C22⋊C4—1221no—
488C2×C42—614no—
489C2×C42—612no—
490C2×C42—1221no—
491C2×C42—1221no—
492C2×C42—1222no—
493#104—1228no—
494#102—1228no—
495#100—1228no—
496C24—22no—
497C24—24no—
498C24—21no—
499C24—48no—
500C24—41no—
501C24—41no—
502C24—42no—
503C24—614no—
504C24—1222no—
505C24—1224no—
506C24—1224no—
507C24—1222no—
508C24—2448no—
509C24D4×D6111yescharacteristic
510#41—22no—
511#41—22no—
512#41—22no—
513#41—22no—
514#41—24no—
515#41—24no—
516#41—42no—
517#41—42no—
518#41—42no—
519#41—42no—
520C2×Q8—21no—
521C2×Q8—22no—
522C2×Q8—22no—
523C2×Q8C2×C22⋊D6112yescomplemented
524C2×D4—22no—
525C2×D4—22no—
526C2×D4—22no—
527C2×D4—22no—
528C2×D4—22no—
529C2×D4—22no—
530C2×D4—22no—
531C2×D4—24no—
532C2×D4—21no—
533C2×D4—22no—
534C2×D4—24no—
535C2×D4—24no—
536C2×D4—24no—
537C2×D4—24no—
538C2×D4—22no—
539C2×D4—42no—
540C2×D4—42no—
541C2×D4—41no—
542C2×D4—41no—
543C2×D4—42no—
544C2×D4—42no—
545C2×D4—42no—
546C2×D4—42no—
547C2×D4—42no—
548C2×D4—12216no—
549C2×D4—12232no—
550C2×D4—1222no—
551C2×D4—1222no—
552C2×D4—1222no—
553C2×D4—1222no—
554C2×D4—1222no—
555C2×D4—1222no—
556C2×D4—1222no—
557C2×D4—1222no—
558C2×D4—1224no—
559C2×D4—1224no—
560C2×D4—4888no—
561C2×D4—24464no—
562C2×D4—24432no—
563C2×D4—2442no—
564C2×D4—2442no—
565C2×D4—2442no—
566C2×D4—2442no—
567C2×D4—2442no—
568C2×D4—2442no—
569C2×D4—2442no—
570C2×D4—2442no—
571C2×D4C2×C22⋊D6112yescomplemented
572C2×D4C2×C22⋊D6114yescomplemented
573C22×C4—21no—
574C22×C4—22no—
575C22×C4—22no—
576C22×C4—42no—
577C22×C4—42no—
578C22×C4—1228no—
579C22×C4—1222no—
580C22×C4—1224no—
581C22×C4—1222no—
582C22×C4D4×D6112yes—
583C22×C4D4×D6111yescharacteristic
584C22×C4D4×D6111yescharacteristic
585C22×C4D4×D6111yescharacteristic
586C22×C4#1175822412yes—
587C22×C4C2×C22⋊D6112yes—
588C22×C4C2×C22⋊D6111yescharacteristic
589C22×C4C2×C22⋊D6111yescharacteristic
590C22×C4C2×C22⋊D6112yes—
591C22×C4C23×D6111yescharacteristic
592SD16—216no—
593D8—216no—
594M16—22no—
595M16—24no—
596M16—1222no—
597M16—1222no—
598M16—2442no—
599M16C2×C22⋊D6114yescomplemented
600C2×C8—22no—
601C2×C8—24no—
602C2×C8—1222no—
603C2×C8—2442no—
604C4⋊C4—614no—
605C4⋊C4—1222no—
606C22⋊C4—12216no—
607C22⋊C4—1222no—
608C22⋊C4—1222no—
609C42—614no—
610C42—1222no—
611C42—1222no—
612C42—1224no—
613C42—1222no—
614C23—24no—
615C23—22no—
616C23—24no—
617C23—48no—
618C23—416no—
619C23—42no—
620C23—42no—
621C23—42no—
622C23—44no—
623C23—44no—
624C23—44no—
625C23—84no—
626C23—88no—
627C23—84no—
628C23—1224no—
629C23—1224no—
630C23—1224no—
631C23—4888no—
632C23—4884no—
633C23—24416no—
634C23—2448no—
635C23—2444no—
636C23—2444no—
637C23—2448no—
638C23#1451974511yescharacteristic
639C23#1451974512yes—
640C23#1451974511yescharacteristic
641C23#1451974812yes—
642C23C2×D4×D6111yescharacteristic
643Q8—22no—
644Q8—22no—
645Q8—42no—
646D4—22no—
647D4—24no—
648D4—24no—
649D4—22no—
650D4—42no—
651D4—42no—
652D4—44no—
653D4—42no—
654D4—42no—
655D4—44no—
656D4—44no—
657D4—42no—
658D4—48816no—
659D4—24464no—
660D4—2442no—
661D4—2442no—
662D4—2442no—
663D4—2442no—
664D4—2444no—
665D4—2444no—
666C2×C4—22no—
667C2×C4—42no—
668C2×C4—42no—
669C2×C4—42no—
670C2×C4—44no—
671C2×C4—1228no—
672C2×C4—12216no—
673C2×C4—1224no—
674C2×C4—1224no—
675C2×C4—2444no—
676C2×C4#1451974512yes—
677C2×C4#1451974511yescharacteristic
678C2×C4#1451974511yescharacteristic
679C2×C4#1451974612yes—
680C2×C4#1451974612yes—
681C2×C4#1451974812yes—
682C2×C4#1451974912yes—
683C2×C4#1451974912yes—
684C2×C4#1451974912yes—
685C2×C4#1451974912yes—
686C2×C4#1451977312yes—
687C2×C4#1451977312yes—
688C2×C4C2×D4×D6111yescharacteristic
689C2×C4C2×D4×D6111yescharacteristic
690C2×C4C22×C22⋊D6111yescharacteristic
691C2×C4C22×C22⋊D6111yescharacteristic
692C2×C4C22×C22⋊D6111yescharacteristic
693C2×C4C2×#1175822411yescharacteristic
694C8—24no—
695C8—2442no—
696C22—22no—
697C22—22no—
698C22—24no—
699C22—24no—
700C22—48no—
701C22—44no—
702C22—42no—
703C22—44no—
704C22—84no—
705C22—88no—
706C22—84no—
707C22—84no—
708C22—88no—
709C22—4884no—
710C22—4888no—
711C22—4888no—
712C22—2448no—
713C22—2448no—
714C22—2444no—
715C22#1683967012yes—
716C22#1683967012yes—
717C22#1683992814yes—
718C22C2×#1451974511yescharacteristic
719C22C2×#1451974511yescharacteristic
720C22C2×#1451974811yescharacteristic
721C4—42no—
722C4—1228no—
723C4—2444no—
724C4#1683967012yes—
725C4#1683967012yes—
726C4C2×#1451974611yescharacteristic
727C4C2×#1451974911yescharacteristic
728C4C2×#1451974911yescharacteristic
729C4C2×#1451977311yescharacteristic
730C2—21no—
731C2—21no—
732C2—22no—
733C2—84no—
734C2—82no—
735C2—4884no—
736C2#2144683114yesdirect product factor
737C2C2×#1683967011yescharacteristic
738C2C2×#1683992812yes—
subgroupG/H
centerC23#14519745
commutator, cosocleC22×C4×C61C24
FrattiniC22×C4C23×D61
FittingC22×AGL(1,ℤ/8)×C61C2
socleC23×C61#120
hypercenterC22×AGL(1,ℤ/8)D61
hypocenterC61C2×#2002
LCSG ▷ C22×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C23×C4 ◁ C22×AGL(1,ℤ/8)

Complements

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

NH ≅ G/Ntype
1. C2×#16840326C2semidirect
2. C22×#14519773C2semidirect
3. C22×#14519704C2semidirect
4. C2×#16839767C2semidirect
5. C22×#14519693C2semidirect
6. #21446831C2direct (N × H)
7. C2×#16839523C2semidirect
8. C22×AGL(1,ℤ/8)×C61C2semidirect
15. #16840326C22semidirect
20. C2×#14519773C22semidirect
27. C2×#14519704C22semidirect
29. #16839767C22semidirect
32. C2×#14519693C22semidirect
33. #16839523C22semidirect
39. C2×AGL(1,ℤ/8)×C61C22semidirect
77. #14519736D4semidirect
79. C2×C4⋊Dic61D4semidirect
85. C2×C4×Dic61D4semidirect
97. C2×#41×C61D4semidirect
99. C22×Q8×C61D4semidirect
109. C22×D4×C61D4semidirect
110. C22×D4×C61D4semidirect
123. C2×M16×C61D4semidirect
153. C2×Q8×C61C2×D4semidirect
178. C2×D4×C61C2×D4semidirect
179. C2×D4×C61C2×D4semidirect
226. M16×C61C2×D4semidirect
233. C4⋊Dic61C2×D4semidirect
238. C4×Dic61C2×D4semidirect
361. C22×AGL(1,ℤ/8)D61semidirect
374. C2×C61#2002semidirect
385. C2×AGL(1,ℤ/8)C2×D61semidirect
412. C61C2×#2002semidirect
421. C2×#41C22⋊D61semidirect
423. C22×Q8C22⋊D61semidirect
447. C22×D4C22⋊D61semidirect
448. C22×D4C22⋊D61semidirect
466. C2×M16C22⋊D61semidirect
523. C2×Q8C2×C22⋊D61semidirect
571. C2×D4C2×C22⋊D61semidirect
572. C2×D4C2×C22⋊D61semidirect
599. M16C2×C22⋊D61semidirect
736. C2#21446831direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#168403262
C22×#145197732
C22×#145197042
C2×#168397672
C22×#145196932
#214468312
C2×#168395232
C22×AGL(1,ℤ/8)×C612
C2×#200261