Finite Group Databasebeta

← C2×#21446833 #29706888

Subgroups — C2×#21446833 #29706888

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
1C22×#14519802C211yesmaximal, characteristic, complemented
2C2×#16840326C211yesmaximal, characteristic, complemented
3C22×#14519774C211yesmaximal, characteristic, complemented
4C2×#16839768C211yesmaximal, characteristic, complemented
5C22×#14519693C211yesmaximal, characteristic, complemented
6#21446833C218yesmaximal, direct product factor
7C2×#16839522C211yesmaximal, characteristic, complemented
8C22×#104×C61C211yesmaximal, characteristic, complemented
9C23×D244—22no—
10C23×D244C2211yescharacteristic
11C23×D244C2211yescharacteristic
12C2×#14519802—24no—
13C2×#14519802—22no—
14C2×#14519802—24no—
15C2×#14519802C2214yescomplemented
16C22×#11758201—21no—
17C22×#11758199—21no—
18C22×#11758194C2211yescharacteristic
19#16840326—22no—
20#16840326—22no—
21#16840326—22no—
22#16840326C2214yescomplemented
23C2×#14519774—24no—
24C2×#14519774—22no—
25C2×#14519774—24no—
26C2×#14519774C2214yescomplemented
27C2×#14519773—21no—
28C2×#14519766—21no—
29C2×#14519751—22no—
30C2×#14519745—22no—
31C2×#14519736C2211yescharacteristic
32#16839768—22no—
33#16839768C2214yescomplemented
34C2×#14519699—22no—
35C2×#14519693—24no—
36C2×#14519693C2214yescomplemented
37#16839522C2214yescomplemented
38C22×#41×C61C2211yescharacteristic
39C22×M16×C61C2211yescharacteristic
40C22×C42×C61C2211yescharacteristic
41C2×#104×C61—24no—
42C2×#104×C61C2214yescomplemented
43C24×D61—21no—
44C24×D61D412yes—
45C22×D244—21no—
46C22×D244—21no—
47C22×D244—21no—
48C22×D244—21no—
49C22×D244—22no—
50C22×D244—22no—
51C22×D244—216no—
52C22×D244—28no—
53C22×D244—22no—
54C22×D244—21no—
55C22×D244—21no—
56C22×D244—22no—
57C22×D244—21no—
58C22×D244—22no—
59C22×D244—22no—
60C22×D244—21no—
61C22×D244—21no—
62C22×D244—22no—
63C22×D244—416no—
64C22×D244D412yes—
65C22×D244D414yescomplemented
66C22×D244C2312yes—
67C22×D244C2312yes—
68C22×C22⋊D61—24no—
69#14519802—216no—
70#14519802—28no—
71#14519802—28no—
72C2×#11758201—28no—
73C2×#11758201—24no—
74C2×#11758199—28no—
75C2×#11758199—24no—
76C2×#11758194—22no—
77C2×#11758194—21no—
78C2×#11758194D414yescomplemented
79C2×#11758194C2312yes—
80C22×#92418—21no—
81#14519774—216no—
82#14519774—28no—
83#14519774—28no—
84#14519773—24no—
85#14519773—24no—
86#14519766—24no—
87#14519766—24no—
88#14519751—28no—
89#14519751—28no—
90#14519745—28no—
91#14519745—28no—
92#14519736—21no—
93#14519736—21no—
94#14519736D412yescomplemented
95#14519736C2312yes—
96C2×C4⋊Dic61D412yescomplemented
97C2×C22⋊Dic61—21no—
98C2×#11758198—24no—
99C2×C4×Dic61—21no—
100#14519699—28no—
101#14519693—28no—
102C2×#41×C61—21no—
103C2×#41×C61—21no—
104C2×#41×C61—22no—
105C2×#41×C61—22no—
106C2×#41×C61—22no—
107C2×#41×C61—22no—
108C2×#41×C61D412yescomplemented
109C2×#41×C61C2312yes—
110C22×Q8×C61D411yescharacteristic, complemented
111C22×D4×C61—21no—
112C22×D4×C61D411yescharacteristic, complemented
113C23×C4×C61—21no—
114C23×C4×C61—21no—
115C23×C4×C61C2311yescharacteristic
116C2×M16×C61—21no—
117C2×M16×C61—22no—
118C2×M16×C61—22no—
119C2×M16×C61C2312yes—
120C22×C8×C61—21no—
121C2×C42×C61—21no—
122C2×C42×C61—22no—
123C2×C42×C61D414yescomplemented
124C2×C42×C61C2312yes—
125#104×C61—28no—
126C24×C61—21no—
127C24×C61C2×D411yescharacteristic
128C23×D61—22no—
129C23×D61—24no—
130C23×D61—24no—
131C23×D61—22no—
132C23×D61—22no—
133C23×D61—24no—
134C23×D61—48no—
135C23×D61—48no—
136C23×D61—41no—
137C23×D61—41no—
138C23×D61—42no—
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—21no—
158C2×D4×C61—22no—
159C2×D4×C61—42no—
160C2×D4×C61—42no—
161C2×D4×C61C2×D412yescomplemented
162C22×C4×C61—28no—
163C22×C4×C61—24no—
164C22×C4×C61—22no—
165C22×C4×C61—21no—
166C22×C4×C61—22no—
167C22×C4×C61—22no—
168C22×C4×C61—42no—
169C22×C4×C61—42no—
170C22×C4×C61C2×D411yescharacteristic
171C22×C4×C61C2×D411yescharacteristic
172C22×C4×C61C2×D411yescharacteristic
173C22×C4×C61C2×D412yes—
174C22×C4×C61C2×D412yes—
175C22×C4×C61C2×D411yescharacteristic
176C22×C4×C61C2×D411yescharacteristic
177C22×C4×C61C2×D412yes—
178C22×C4×C61#4112yes—
179C22×C4×C61C2411yescharacteristic
180C2×C22⋊D61—216no—
181C2×C22⋊D61—88no—
182C22×Dic61—22no—
183C2×D244—24no—
184C2×D244—24no—
185C2×D244—24no—
186C2×D244—24no—
187C2×D244—22no—
188C2×D244—22no—
189C2×D244—22no—
190C2×D244—22no—
191C2×D244—232no—
192C2×D244—22no—
193C2×D244—22no—
194C2×D244—24no—
195C2×D244—24no—
196C2×D244—24no—
197C2×D244—22no—
198C2×D244—22no—
199C2×D244—22no—
200C2×D244—22no—
201C2×D244—22no—
202C2×D244—22no—
203C2×D244—22no—
204C2×D244—432no—
205C2×D244—464no—
206C2×D244—42no—
207C2×D244—42no—
208C2×D244—41no—
209C2×D244—41no—
210C2×D244—42no—
211C2×D244—42no—
212C2×D244—42no—
213C2×D244—42no—
214C2×D244—42no—
215C2×D244—42no—
216C2×D244—42no—
217C2×D244—42no—
218C2×D244—42no—
219C2×D244—42no—
220C2×D244—42no—
221C2×D244C2×D414yescomplemented
222M16×C61—22no—
223M16×C61—22no—
224M16×C61—42no—
225C2×C8×C61—22no—
226C2×C8×C61—42no—
227C42×C61—24no—
228C42×C61—22no—
229C42×C61C2×D414yescomplemented
230C22⋊Dic61—22no—
231C22⋊Dic61—22no—
232#11758201—216no—
233#11758199—216no—
234#11758198—216no—
235C4⋊Dic61—22no—
236C4⋊Dic61C2×D414yescomplemented
237C4×Dic61—22no—
238C4×Dic61—22no—
239#11758194—24no—
240#11758194—22no—
241#11758194C2×D414yescomplemented
242C2×#92418—24no—
243C2×#92418—22no—
244C23×C61—24no—
245C23×C61—22no—
246C23×C61—42no—
247C23×C61—44no—
248C23×C61#12012yes—
249C23×C61#12011yescharacteristic
250C23×C61#12011yescharacteristic
251C23×C61#12112yes—
252C23×C61C22×D411yescharacteristic
253C22×D61—24no—
254C22×D61—24no—
255C22×D61—24no—
256C22×D61—24no—
257C22×D61—48no—
258C22×D61—48no—
259C22×D61—416no—
260C22×D61—416no—
261C22×D61—42no—
262C22×D61—42no—
263C22×D61—44no—
264C22×D61—44no—
265C22×D61—44no—
266C22×D61—44no—
267C22×D61—48no—
268C22×D61—84no—
269C22×D61—84no—
270C22×D61—88no—
271C22×D61—84no—
272C22×D61—88no—
273Q8×C61—22no—
274Q8×C61—22no—
275Q8×C61—42no—
276D4×C61—22no—
277D4×C61—22no—
278D4×C61—42no—
279D4×C61—42no—
280D4×C61—44no—
281D4×C61—42no—
282C2×C4×C61—28no—
283C2×C4×C61—216no—
284C2×C4×C61—24no—
285C2×C4×C61—22no—
286C2×C4×C61—42no—
287C2×C4×C61—42no—
288C2×C4×C61—42no—
289C2×C4×C61—44no—
290C2×C4×C61#12012yes—
291C2×C4×C61#12012yes—
292C2×C4×C61#12012yes—
293C2×C4×C61#12011yescharacteristic
294C2×C4×C61#12011yescharacteristic
295C2×C4×C61#12112yes—
296C2×C4×C61#12112yes—
297C2×C4×C61#12112yes—
298C2×C4×C61#12112yes—
299C2×C4×C61#12112yes—
300C2×C4×C61#12712yes—
301C2×C4×C61#12712yes—
302C2×C4×C61C22×D411yescharacteristic
303C2×C4×C61C22×D411yescharacteristic
304C2×C4×C61C22×D411yescharacteristic
305C2×C4×C61C22×D411yescharacteristic
306C2×C4×C61C22×D411yescharacteristic
307C2×C4×C61C2×#4111yescharacteristic
308C22⋊D61—816no—
309C2×Dic61—24no—
310C2×Dic61—44no—
311D244—24no—
312D244—24no—
313D244—464no—
314D244—42no—
315D244—42no—
316D244—42no—
317D244—42no—
318D244—42no—
319D244—42no—
320D244—44no—
321D244—44no—
322D244—44no—
323D244—44no—
324C8×C61—42no—
325#92418—24no—
326C2×#2002—611nomaximal, Sylow
327C22×C61—22no—
328C22×C61—22no—
329C22×C61—24no—
330C22×C61—24no—
331C22×C61—42no—
332C22×C61—44no—
333C22×C61—84no—
334C22×C61#39212yes—
335C22×C61#39212yes—
336C22×C61#45314yes—
337C22×C61C2×#12011yescharacteristic
338C22×C61C2×#12011yescharacteristic
339C22×C61C2×#12111yescharacteristic
340C2×D61—48no—
341C2×D61—48no—
342C2×D61—44no—
343C2×D61—44no—
344C2×D61—48no—
345C2×D61—88no—
346C2×D61—84no—
347C2×D61—88no—
348C2×D61—84no—
349C2×D61—88no—
350C2×D61—88no—
351C2×D61—84no—
352C4×C61—28no—
353C4×C61—42no—
354C4×C61#39212yes—
355C4×C61#39212yes—
356C4×C61C2×#12011yescharacteristic
357C4×C61C2×#12111yescharacteristic
358C4×C61C2×#12111yescharacteristic
359C4×C61C2×#12711yescharacteristic
360Dic61—44no—
361C22×AGL(1,ℤ/8)—611no—
362C2×#535—611no—
363C22×#127—611no—
364C22×#104D6111yescharacteristic, complemented
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#200214yescomplemented
374C2×C61C2×#39211yescharacteristic
375C2×C61C2×#45312yes—
376D61—84no—
377D61—84no—
378C22×#41C2×D6111yescharacteristic
379C23×D4—611no—
380C23×D4—611no—
381C23×D4—1222no—
382C2×AGL(1,ℤ/8)—614no—
383C2×AGL(1,ℤ/8)—1224no—
384C2×AGL(1,ℤ/8)—1224no—
385C2×AGL(1,ℤ/8)—1222no—
386C22×SD16—1221no—
387C22×D8—1221no—
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—1221no—
398C2×#127—1224no—
399C2×#124—1221no—
400C2×#121—1222no—
401C2×#120—1222no—
402C2×#117—611no—
403C22×C42C2×D6111yescharacteristic
404C2×#104—24no—
405C2×#104C2×D6114yescomplemented
406#418—614no—
407#418—1222no—
408C2×#102—1222no—
409C2×#100—614no—
410C2×#100—1224no—
411#339—614no—
412C61C2×#200211yescharacteristic, complemented, Sylow
413C25—612no—
414C25—1221no—
415C2×#41—21no—
416C2×#41—21no—
417C2×#41—22no—
418C2×#41—22no—
419C2×#41—22no—
420C2×#41—22no—
421C2×#41D24412yescomplemented
422C2×#41C22×D6112yes—
423C22×Q8D24411yescharacteristic, complemented
424C22×D4—21no—
425C22×D4—614no—
426C22×D4—612no—
427C22×D4—612no—
428C22×D4—612no—
429C22×D4—1228no—
430C22×D4—12216no—
431C22×D4—1224no—
432C22×D4—1221no—
433C22×D4—1221no—
434C22×D4—1221no—
435C22×D4—1221no—
436C22×D4—1222no—
437C22×D4—1222no—
438C22×D4—1222no—
439C22×D4—1221no—
440C22×D4—1221no—
441C22×D4—1221no—
442C22×D4—1222no—
443C22×D4—1221no—
444C22×D4—1221no—
445C22×D4—1222no—
446C22×D4—1222no—
447C22×D4—1222no—
448C22×D4—24416no—
449C22×D4D24411yescharacteristic, complemented
450C23×C4—21no—
451C23×C4—21no—
452C23×C4C22×D6111yescharacteristic
453AGL(1,ℤ/8)—1228no—
454AGL(1,ℤ/8)—1228no—
455AGL(1,ℤ/8)—12216no—
456C2×SD16—1228no—
457C2×SD16—1224no—
458C2×D8—1228no—
459C2×D8—1224no—
460C2×M16—21no—
461C2×M16—22no—
462C2×M16—22no—
463C2×M16—614no—
464C2×M16—612no—
465C2×M16—1221no—
466C2×M16—1222no—
467C2×M16C22×D6112yes—
468C22×C8—21no—
469C22×C8—1221no—
470#127—1228no—
471#127—12216no—
472#127—1224no—
473#127—1224no—
474#127—1228no—
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—22no—
489C2×C42—21no—
490C2×C42—1221no—
491C2×C42C22⋊D6114yescomplemented
492C2×C42C22×D6112yes—
493#104—28no—
494#102—1228no—
495#100—1228no—
496C24—21no—
497C24—614no—
498C24—1222no—
499C24—1224no—
500C24—1222no—
501C24—1224no—
502C24—1224no—
503C24—1222no—
504C24—2448no—
505C24—2448no—
506C24—2441no—
507C24—2441no—
508C24—2442no—
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×D24412yescomplemented
524C2×D4—22no—
525C2×D4—22no—
526C2×D4—22no—
527C2×D4—21no—
528C2×D4—22no—
529C2×D4—42no—
530C2×D4—42no—
531C2×D4—614no—
532C2×D4—12232no—
533C2×D4—12216no—
534C2×D4—1222no—
535C2×D4—1222no—
536C2×D4—1222no—
537C2×D4—1222no—
538C2×D4—1222no—
539C2×D4—1222no—
540C2×D4—1222no—
541C2×D4—1222no—
542C2×D4—1222no—
543C2×D4—1222no—
544C2×D4—1222no—
545C2×D4—1224no—
546C2×D4—1224no—
547C2×D4—1224no—
548C2×D4—1224no—
549C2×D4—1222no—
550C2×D4—1222no—
551C2×D4—1224no—
552C2×D4—1224no—
553C2×D4—1224no—
554C2×D4—4888no—
555C2×D4—24464no—
556C2×D4—24432no—
557C2×D4—2442no—
558C2×D4—2442no—
559C2×D4—2441no—
560C2×D4—2441no—
561C2×D4—2442no—
562C2×D4—2442no—
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×D4—2442no—
572C2×D4C2×D24412yescomplemented
573C22×C4—28no—
574C22×C4—22no—
575C22×C4—24no—
576C22×C4—21no—
577C22×C4—22no—
578C22×C4—22no—
579C22×C4—42no—
580C22×C4—42no—
581C22×C4—1222no—
582C22×C4C2×D24411yescharacteristic
583C22×C4C2×D24411yescharacteristic
584C22×C4#1175822212yes—
585C22×C4D4×D6112yes—
586C22×C4D4×D6112yes—
587C22×C4D4×D6111yescharacteristic
588C22×C4D4×D6111yescharacteristic
589C22×C4D4×D6111yescharacteristic
590C22×C4C2×C22⋊D6112yes—
591C22×C4C23×D6111yescharacteristic
592SD16—12216no—
593D8—12216no—
594M16—22no—
595M16—22no—
596M16—42no—
597M16—614no—
598M16—1222no—
599M16—1224no—
600C2×C8—22no—
601C2×C8—42no—
602C2×C8—1222no—
603C2×C8—1224no—
604C4⋊C4—614no—
605C4⋊C4—1222no—
606C22⋊C4—12216no—
607C22⋊C4—1222no—
608C22⋊C4—1222no—
609C42—22no—
610C42—24no—
611C42—1222no—
612C42—1222no—
613C42C2×C22⋊D6114yescomplemented
614C23—24no—
615C23—22no—
616C23—42no—
617C23—44no—
618C23—1224no—
619C23—1224no—
620C23—1224no—
621C23—1224no—
622C23—4888no—
623C23—4884no—
624C23—4888no—
625C23—4884no—
626C23—4884no—
627C23—2448no—
628C23—24416no—
629C23—24416no—
630C23—2448no—
631C23—2442no—
632C23—2442no—
633C23—2444no—
634C23—2444no—
635C23—2444no—
636C23—2444no—
637C23—2448no—
638C23#1451974512yes—
639C23#1451974711yescharacteristic
640C23#1451974711yescharacteristic
641C23#1451975012yes—
642C23C2×D4×D6111yescharacteristic
643Q8—22no—
644Q8—22no—
645Q8—42no—
646D4—22no—
647D4—22no—
648D4—42no—
649D4—42no—
650D4—44no—
651D4—42no—
652D4—1224no—
653D4—1224no—
654D4—48816no—
655D4—24464no—
656D4—2442no—
657D4—2442no—
658D4—2442no—
659D4—2442no—
660D4—2442no—
661D4—2442no—
662D4—2444no—
663D4—2444no—
664D4—2444no—
665D4—2444no—
666C2×C4—28no—
667C2×C4—216no—
668C2×C4—24no—
669C2×C4—22no—
670C2×C4—42no—
671C2×C4—42no—
672C2×C4—42no—
673C2×C4—44no—
674C2×C4—1224no—
675C2×C4—2444no—
676C2×C4#1451974512yes—
677C2×C4#1451974712yes—
678C2×C4#1451974712yes—
679C2×C4#1451974711yescharacteristic
680C2×C4#1451974711yescharacteristic
681C2×C4#1451975012yes—
682C2×C4#1451975012yes—
683C2×C4#1451975012yes—
684C2×C4#1451975112yes—
685C2×C4#1451975112yes—
686C2×C4#1451977312yes—
687C2×C4#1451977312yes—
688C2×C4C2×D4×D6111yescharacteristic
689C2×C4C2×D4×D6111yescharacteristic
690C2×C4C2×D4×D6111yescharacteristic
691C2×C4C22×C22⋊D6111yescharacteristic
692C2×C4C22×D24411yescharacteristic
693C2×C4C2×#1175822211yescharacteristic
694C8—42no—
695C8—1224no—
696C22—22no—
697C22—22no—
698C22—24no—
699C22—24no—
700C22—44no—
701C22—42no—
702C22—84no—
703C22—4884no—
704C22—4884no—
705C22—4888no—
706C22—4888no—
707C22—4884no—
708C22—4888no—
709C22—4888no—
710C22—2448no—
711C22—2448no—
712C22—2448no—
713C22—2444no—
714C22—2444no—
715C22#1683967112yes—
716C22#1683967112yes—
717C22#1683993114yes—
718C22C2×#1451974511yescharacteristic
719C22C2×#1451974711yescharacteristic
720C22C2×#1451975011yescharacteristic
721C4—28no—
722C4—42no—
723C4—2444no—
724C4#1683967112yes—
725C4#1683967112yes—
726C4C2×#1451974711yescharacteristic
727C4C2×#1451975011yescharacteristic
728C4C2×#1451975111yescharacteristic
729C4C2×#1451977311yescharacteristic
730C2—21no—
731C2—21no—
732C2—22no—
733C2—82no—
734C2—4884no—
735C2—4884no—
736C2#2144683314yesdirect product factor
737C2C2×#1683967111yescharacteristic
738C2C2×#1683993112yes—
subgroupG/H
centerC23#14519747
commutator, cosocleC22×C4×C61C24
FrattiniC22×C4C23×D61
FittingC22×#104×C61C2
socleC23×C61#120
hypercenterC22×#104D61
hypocenterC61C2×#2002
LCSG ▷ C22×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C23×C4 ◁ C22×#104

Complements

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

NH ≅ G/Ntype
1. C22×#14519802C2semidirect
2. C2×#16840326C2semidirect
3. C22×#14519774C2semidirect
4. C2×#16839768C2semidirect
5. C22×#14519693C2semidirect
6. #21446833C2direct (N × H)
7. C2×#16839522C2semidirect
8. C22×#104×C61C2semidirect
15. C2×#14519802C22semidirect
22. #16840326C22semidirect
26. C2×#14519774C22semidirect
33. #16839768C22semidirect
36. C2×#14519693C22semidirect
37. #16839522C22semidirect
42. C2×#104×C61C22semidirect
65. C22×D244D4semidirect
78. C2×#11758194D4semidirect
94. #14519736D4semidirect
96. C2×C4⋊Dic61D4semidirect
108. C2×#41×C61D4semidirect
110. C22×Q8×C61D4semidirect
112. C22×D4×C61D4semidirect
123. C2×C42×C61D4semidirect
153. C2×Q8×C61C2×D4semidirect
161. C2×D4×C61C2×D4semidirect
221. C2×D244C2×D4semidirect
229. C42×C61C2×D4semidirect
236. C4⋊Dic61C2×D4semidirect
241. #11758194C2×D4semidirect
364. C22×#104D61semidirect
373. C2×C61#2002semidirect
405. C2×#104C2×D61semidirect
412. C61C2×#2002semidirect
421. C2×#41D244semidirect
423. C22×Q8D244semidirect
449. C22×D4D244semidirect
491. C2×C42C22⋊D61semidirect
523. C2×Q8C2×D244semidirect
572. C2×D4C2×D244semidirect
613. C42C2×C22⋊D61semidirect
736. C2#21446833direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#145198022
C2×#168403262
C22×#145197742
C2×#168397682
C22×#145196932
#214468332
C2×#168395222
C22×#104×C612
C2×#200261