Finite Group Databasebeta

← C2×#24764 #6442981

Subgroups — C2×#24764 #6442981

Order 512.

2688 conjugacy classes of subgroups.

The subgroup lattice has 746 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#470C211yesmaximal, characteristic
2C22×#467C211yesmaximal, characteristic
3C22×#462C211yesmaximal, characteristic, complemented
4C22×#424C211yesmaximal, characteristic
5C2×#2621C211yesmaximal, characteristic
6C2×#2323C211yesmaximal, characteristic
7#24764C2116yesmaximal, direct product factor
8C2×#2068C211yesmaximal, characteristic, complemented
9C2×#2066C211yesmaximal, characteristic, complemented
10C2×#2056C211yesmaximal, characteristic, complemented
11C2×#2056C211yesmaximal, characteristic, complemented
12C2×#1981C211yesmaximal, characteristic, complemented
13C2×#1949C211yesmaximal, characteristic, complemented
14C2×#1894C211yesmaximal, characteristic
15C2×#1892C211yesmaximal, characteristic
16C2×#1805C211yesmaximal, characteristic, complemented
17C23×Q16C2211yescharacteristic
18C23×Q16C2211yescharacteristic
19C23×M16C2211yescharacteristic
20C24×C8C2211yescharacteristic
21C22×C4⋊Q8C2211yescharacteristic
22C22×C22⋊Q8C2211yescharacteristic
23C22×C22⋊Q8C2211yescharacteristic
24C22×C22⋊Q8C2211yescharacteristic
25C22×C4×Q8C2211yescharacteristic
26C22×#117C2211yescharacteristic
27C2×#470—28no—
28C2×#470C2218yes—
29C2×#467—28no—
30C2×#467C2218yes—
31C2×#462—28no—
32C2×#462C2218yescomplemented
33C22×#107C2211yescharacteristic
34C22×#106C2211yescharacteristic
35C2×#424—28no—
36C2×#424C2218yes—
37C22×C4⋊C8C2211yescharacteristic
38C22×C4⋊C8C2211yescharacteristic
39C22×C4⋊C8C2211yescharacteristic
40C22×C4⋊C8C2211yescharacteristic
41C22×#103C2211yescharacteristic
42C22×#103C2211yescharacteristic
43C22×#103C2211yescharacteristic
44C22×#103C2211yescharacteristic
45C22×#103C2211yescharacteristic
46C22×#103C2211yescharacteristic
47C22×#103C2211yescharacteristic
48C22×#103C2211yescharacteristic
49#2621—24no—
50#2621C2218yes—
51C2×#398—21no—
52C2×#398—21no—
53C2×#397—21no—
54C2×#397—21no—
55#2323—24no—
56#2323C2218yes—
57C2×#391C2211yescharacteristic
58C2×#391C2211yescharacteristic
59C2×#391C2211yescharacteristic
60C2×#389—21no—
61C2×#389C2211yescharacteristic
62C2×#388—21no—
63C2×#388—21no—
64C2×#387—21no—
65C2×#382C2211yescharacteristic
66C2×#380C2211yescharacteristic
67C2×C4×C4⋊C4C2211yescharacteristic
68#2068C2218yescomplemented
69#2066C2218yescomplemented
70#2056C2218yescomplemented
71#2056C2218yescomplemented
72#1981C2218yescomplemented
73#1949C2218yescomplemented
74#1894C2218yes—
75#1892C2218yes—
76#1805C2218yescomplemented
77C2×#340C2211yescharacteristic
78C2×#340C2211yescharacteristic
79C2×#340C2211yescharacteristic
80C2×#340C2211yescharacteristic
81C23×Q8C2311yescharacteristic
82C23×Q8C2311yescharacteristic
83C23×Q8C2311yescharacteristic
84C24×C4C2311yescharacteristic
85C22×Q16—24no—
86C22×Q16—24no—
87C22×Q16—24no—
88C22×Q16—24no—
89C22×Q16—42no—
90C22×Q16—42no—
91C22×Q16C2314yes—
92C22×Q16C2314yes—
93C22×M16—24no—
94C22×M16—24no—
95C22×M16—42no—
96C22×M16C2314yes—
97C23×C8—24no—
98C23×C8—24no—
99C23×C8—42no—
100C23×C8C2311yescharacteristic
101C23×C8C2311yescharacteristic
102C23×C8C2314yes—
103C23×C8C2311yescharacteristic
104C23×C8C2311yescharacteristic
105C2×C4⋊Q8—22no—
106C2×C4⋊Q8—24no—
107C2×C4⋊Q8—24no—
108C2×C4⋊Q8C2314yes—
109C2×C22⋊Q8—22no—
110C2×C22⋊Q8—24no—
111C2×C22⋊Q8—22no—
112C2×C22⋊Q8—22no—
113C2×C22⋊Q8—24no—
114C2×C22⋊Q8—24no—
115C2×C22⋊Q8—24no—
116C2×C22⋊Q8—24no—
117C2×C22⋊Q8D418yes—
118C2×C22⋊Q8C2314yes—
119C2×C22⋊Q8C2314yes—
120C2×C22⋊Q8C2314yes—
121C2×C4×Q8—22no—
122C2×C4×Q8—24no—
123C2×C4×Q8—24no—
124C2×C4×Q8C2314yes—
125C2×#117—24no—
126C2×#117—24no—
127C2×#117D414yes—
128C2×#117C2314yes—
129C22×C4⋊C4—21no—
130C22×C4⋊C4—21no—
131C22×C4⋊C4—21no—
132C22×C4⋊C4—21no—
133C22×C4⋊C4—21no—
134C22×C4⋊C4—21no—
135C22×C4⋊C4—21no—
136C22×C4⋊C4D411yescharacteristic
137C22×C4⋊C4D411yescharacteristic
138C22×C4⋊C4C2311yescharacteristic
139C22×C4⋊C4C2311yescharacteristic
140C22×C4⋊C4C2311yescharacteristic
141C22×C4⋊C4C2311yescharacteristic
142C22×C4⋊C4C2311yescharacteristic
143C22×C22⋊C4—21no—
144C22×C22⋊C4—21no—
145C22×C22⋊C4—21no—
146C22×C22⋊C4—21no—
147C22×C22⋊C4D411yescharacteristic
148C22×C22⋊C4D411yescharacteristic
149C22×C42—21no—
150C22×C42—21no—
151C22×C42C2311yescharacteristic
152C22×C42C2311yescharacteristic
153#470—232no—
154#467—232no—
155#462—232no—
156C2×#107—24no—
157C2×#107C2314yes—
158C2×#106—24no—
159C2×#106C2314yes—
160#424—232no—
161C2×C4⋊C8—24no—
162C2×C4⋊C8—24no—
163C2×C4⋊C8—24no—
164C2×C4⋊C8D418yes—
165C2×C4⋊C8C2314yes—
166C2×C4⋊C8C2314yes—
167C2×C4⋊C8C2314yes—
168C2×C4⋊C8C2314yes—
169C2×#103—24no—
170C2×#103—24no—
171C2×#103—24no—
172C2×#103—24no—
173C2×#103—24no—
174C2×#103—24no—
175C2×#103—42no—
176C2×#103—42no—
177C2×#103C2314yes—
178C2×#103C2314yes—
179C2×#103C2314yes—
180C2×#103C2314yes—
181C2×#103C2314yes—
182C2×#103C2314yes—
183C2×#103C2314yes—
184C2×#103C2314yes—
185#398—28no—
186#398—28no—
187#397—28no—
188#397—28no—
189#391—22no—
190#391—22no—
191#391—22no—
192#391C2314yes—
193#391C2314yes—
194#391C2314yes—
195#389—28no—
196#389—22no—
197#389C2314yes—
198#388—28no—
199#388—28no—
200#387—28no—
201#382—22no—
202#382C2314yes—
203#380—22no—
204#380C2314yes—
205C4×C4⋊C4—22no—
206C4×C4⋊C4C2314yes—
207C2×#95—21no—
208C2×#95—21no—
209C2×#95—21no—
210C2×#95—21no—
211C2×#95—21no—
212C2×#95—21no—
213C2×#95—21no—
214C2×#95—21no—
215C2×#95—21no—
216C2×#95—21no—
217C2×#95—21no—
218#340C2314yes—
219#340C2314yes—
220#340C2314yes—
221#340C2314yes—
222C25C2×D411yescharacteristic
223C22×Q8—21no—
224C22×Q8—21no—
225C22×Q8—21no—
226C22×Q8—22no—
227C22×Q8—22no—
228C22×Q8—22no—
229C22×Q8—22no—
230C22×Q8—22no—
231C22×Q8—22no—
232C22×Q8—22no—
233C22×Q8—22no—
234C22×Q8—22no—
235C22×Q8—22no—
236C22×Q8—22no—
237C22×Q8—22no—
238C22×Q8—22no—
239C22×Q8—22no—
240C22×Q8—22no—
241C22×Q8—22no—
242C22×Q8—22no—
243C22×Q8C2×D414yes—
244C22×Q8C2412yes—
245C22×Q8C2412yes—
246C22×Q8C2412yes—
247C23×C4—22no—
248C23×C4—22no—
249C23×C4—22no—
250C23×C4—22no—
251C23×C4—21no—
252C23×C4—21no—
253C23×C4—21no—
254C23×C4—21no—
255C23×C4—21no—
256C23×C4—21no—
257C23×C4—21no—
258C23×C4—21no—
259C23×C4C2×D411yescharacteristic
260C23×C4C2×D411yescharacteristic
261C23×C4C2×D412yes—
262C23×C4C2×D411yescharacteristic
263C23×C4C2×D411yescharacteristic
264C23×C4C2×D411yescharacteristic
265C23×C4C2×D414yes—
266C23×C4#4114yes—
267C23×C4C2412yes—
268C23×C4C2411yescharacteristic
269C2×Q16—28no—
270C2×Q16—28no—
271C2×Q16—28no—
272C2×Q16—28no—
273C2×Q16—44no—
274C2×Q16—44no—
275C2×Q16—416no—
276C2×Q16—416no—
277C2×M16—28no—
278C2×M16—28no—
279C2×M16—44no—
280C2×M16—416no—
281C22×C8—22no—
282C22×C8—22no—
283C22×C8—22no—
284C22×C8—22no—
285C22×C8—22no—
286C22×C8—22no—
287C22×C8—28no—
288C22×C8—22no—
289C22×C8—22no—
290C22×C8—22no—
291C22×C8—22no—
292C22×C8—28no—
293C22×C8—44no—
294C22×C8—416no—
295C22×C8C2×D414yes—
296C22×C8C2×D414yes—
297C22×C8C2412yes—
298C22×C8C2412yes—
299C22×C8C2412yes—
300C22×C8C2412yes—
301C4⋊Q8—28no—
302C4⋊Q8—28no—
303C4⋊Q8—48no—
304C22⋊Q8—216no—
305C22⋊Q8—28no—
306C22⋊Q8—28no—
307C22⋊Q8—28no—
308C22⋊Q8—28no—
309C22⋊Q8—28no—
310C22⋊Q8—48no—
311C22⋊Q8—48no—
312C22⋊Q8C2×D4116yes—
313C4×Q8—28no—
314C4×Q8—28no—
315C4×Q8—48no—
316#117—216no—
317#117—28no—
318#117—28no—
319C2×C4⋊C4—28no—
320C2×C4⋊C4—24no—
321C2×C4⋊C4—24no—
322C2×C4⋊C4—24no—
323C2×C4⋊C4—21no—
324C2×C4⋊C4—22no—
325C2×C4⋊C4—22no—
326C2×C4⋊C4—22no—
327C2×C4⋊C4—22no—
328C2×C4⋊C4—22no—
329C2×C4⋊C4—22no—
330C2×C4⋊C4—22no—
331C2×C4⋊C4—22no—
332C2×C4⋊C4—22no—
333C2×C4⋊C4—24no—
334C2×C4⋊C4—24no—
335C2×C4⋊C4—24no—
336C2×C4⋊C4—24no—
337C2×C4⋊C4—24no—
338C2×C4⋊C4—21no—
339C2×C4⋊C4—21no—
340C2×C4⋊C4—21no—
341C2×C4⋊C4—21no—
342C2×C4⋊C4—24no—
343C2×C4⋊C4—44no—
344C2×C4⋊C4—44no—
345C2×C4⋊C4—44no—
346C2×C4⋊C4—44no—
347C2×C4⋊C4—44no—
348C2×C4⋊C4—82no—
349C2×C4⋊C4C2×D414yes—
350C2×C4⋊C4C2×D414yes—
351C2×C4⋊C4C2×D414yes—
352C2×C4⋊C4C2412yes—
353C2×C4⋊C4C2412yes—
354C2×C4⋊C4C2412yes—
355C2×C4⋊C4C2412yes—
356C2×C4⋊C4C2412yes—
357C2×C22⋊C4—28no—
358C2×C22⋊C4—24no—
359C2×C22⋊C4—24no—
360C2×C22⋊C4—24no—
361C2×C22⋊C4—24no—
362C2×C22⋊C4—24no—
363C2×C22⋊C4—24no—
364C2×C22⋊C4—44no—
365C2×C22⋊C4—44no—
366C2×C22⋊C4—82no—
367C2×C22⋊C4C2×D414yes—
368C2×C22⋊C4C2×D414yes—
369C2×C42—22no—
370C2×C42—22no—
371C2×C42—24no—
372C2×C42—24no—
373C2×C42—44no—
374C2×C42—82no—
375C2×C42C2×D412yes—
376C2×C42C2×D412yes—
377C2×C42C2×D414yes—
378C2×C42#4114yes—
379C2×C42C2412yes—
380C2×C42C2412yes—
381#107—28no—
382#106—28no—
383C4⋊C8—28no—
384C4⋊C8—28no—
385C4⋊C8—28no—
386C4⋊C8C2×D4116yes—
387#103—28no—
388#103—28no—
389#103—28no—
390#103—28no—
391#103—28no—
392#103—28no—
393#103—44no—
394#103—44no—
395#95—24no—
396#95—24no—
397#95—24no—
398#95—24no—
399#95—24no—
400#95—24no—
401#95—24no—
402#95—24no—
403#95—24no—
404#95—24no—
405#95—24no—
406C24—22no—
407C24—22no—
408C24—22no—
409C24—22no—
410C24—22no—
411C24—22no—
412C24#12114yes—
413C24C22×D412yes—
414C24C22×D411yescharacteristic
415C2×Q8—24no—
416C2×Q8—22no—
417C2×Q8—28no—
418C2×Q8—28no—
419C2×Q8—22no—
420C2×Q8—22no—
421C2×Q8—22no—
422C2×Q8—22no—
423C2×Q8—22no—
424C2×Q8—22no—
425C2×Q8—22no—
426C2×Q8—22no—
427C2×Q8—22no—
428C2×Q8—22no—
429C2×Q8—22no—
430C2×Q8—22no—
431C2×Q8—22no—
432C2×Q8—22no—
433C2×Q8—22no—
434C2×Q8—22no—
435C2×Q8—42no—
436C2×Q8—42no—
437C2×Q8—42no—
438C2×Q8—42no—
439C2×Q8—42no—
440C2×Q8—42no—
441C2×Q8—42no—
442C2×Q8—42no—
443C2×Q8—44no—
444C2×Q8—44no—
445C2×Q8—44no—
446C2×Q8—44no—
447C2×Q8—44no—
448C2×Q8—44no—
449C2×Q8—44no—
450C2×Q8—44no—
451C2×Q8—44no—
452C2×Q8—44no—
453C2×Q8C22×D414yes—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4—22no—
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—24no—
461C22×C4—24no—
462C22×C4—28no—
463C22×C4—28no—
464C22×C4—28no—
465C22×C4—28no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—24no—
473C22×C4—24no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—42no—
487C22×C4—42no—
488C22×C4—42no—
489C22×C4—42no—
490C22×C4—42no—
491C22×C4—42no—
492C22×C4—42no—
493C22×C4—42no—
494C22×C4—42no—
495C22×C4—42no—
496C22×C4—42no—
497C22×C4—42no—
498C22×C4—42no—
499C22×C4—42no—
500C22×C4—42no—
501C22×C4—42no—
502C22×C4—42no—
503C22×C4—42no—
504C22×C4—42no—
505C22×C4—42no—
506C22×C4—42no—
507C22×C4—42no—
508C22×C4#12114yes—
509C22×C4#12114yes—
510C22×C4#12114yes—
511C22×C4#12118yes—
512C22×C4C22×D412yes—
513C22×C4C22×D412yes—
514C22×C4C22×D412yes—
515C22×C4C22×D412yes—
516C22×C4C22×D412yes—
517C22×C4C22×D414yes—
518C22×C4C22×D411yescharacteristic
519C22×C4C22×D412yes—
520C22×C4C22×D412yes—
521C22×C4C2×#4114yes—
522C22×C4C2×#4112yes—
523C22×C4C2×#4112yes—
524C22×C4H(5,𝔽2)12yes—
525C22×C42−1+412yes—
526C22×C4C2511yescharacteristic
527Q16—416no—
528Q16—416no—
529M16—416no—
530C2×C8—28no—
531C2×C8—28no—
532C2×C8—22no—
533C2×C8—22no—
534C2×C8—22no—
535C2×C8—22no—
536C2×C8—22no—
537C2×C8—22no—
538C2×C8—22no—
539C2×C8—22no—
540C2×C8—22no—
541C2×C8—22no—
542C2×C8—416no—
543C2×C8—44no—
544C2×C8—44no—
545C2×C8C22×D414yes—
546C2×C8C22×D414yes—
547C4⋊C4—216no—
548C4⋊C4—28no—
549C4⋊C4—28no—
550C4⋊C4—24no—
551C4⋊C4—22no—
552C4⋊C4—22no—
553C4⋊C4—22no—
554C4⋊C4—22no—
555C4⋊C4—22no—
556C4⋊C4—22no—
557C4⋊C4—22no—
558C4⋊C4—22no—
559C4⋊C4—22no—
560C4⋊C4—42no—
561C4⋊C4—42no—
562C4⋊C4—42no—
563C4⋊C4—48no—
564C4⋊C4—48no—
565C4⋊C4—48no—
566C4⋊C4—48no—
567C4⋊C4—48no—
568C4⋊C4—42no—
569C4⋊C4—84no—
570C4⋊C4C22×D414yes—
571C22⋊C4—216no—
572C22⋊C4—28no—
573C22⋊C4—28no—
574C22⋊C4—48no—
575C22⋊C4—48no—
576C22⋊C4—84no—
577C42—24no—
578C42—22no—
579C42—22no—
580C42—48no—
581C42—84no—
582C42#12118yes—
583C42C22×D414yes—
584C42C2×#4114yes—
585C23—22no—
586C23—28no—
587C23—22no—
588C23—28no—
589C23—28no—
590C23—22no—
591C23—22no—
592C23—22no—
593C23—22no—
594C23—44no—
595C23—44no—
596C23—44no—
597C23—44no—
598C23C2×#12114yes—
599C23C2×#12112yes—
600C23C2×#12112yes—
601C23#53712yes—
602C23#57712yes—
603C23#57812yes—
604C23#57812yes—
605C23#57812yes—
606C23C23×D411yescharacteristic
607Q8—24no—
608Q8—24no—
609Q8—48no—
610Q8—42no—
611Q8—42no—
612Q8—42no—
613Q8—42no—
614Q8—42no—
615Q8—42no—
616Q8—42no—
617Q8—42no—
618Q8—42no—
619Q8—42no—
620Q8—84no—
621Q8—84no—
622C2×C4—22no—
623C2×C4—28no—
624C2×C4—22no—
625C2×C4—28no—
626C2×C4—28no—
627C2×C4—22no—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—22no—
631C2×C4—216no—
632C2×C4—24no—
633C2×C4—24no—
634C2×C4—24no—
635C2×C4—24no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—24no—
639C2×C4—24no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—42no—
645C2×C4—48no—
646C2×C4—42no—
647C2×C4—48no—
648C2×C4—44no—
649C2×C4—44no—
650C2×C4—42no—
651C2×C4—42no—
652C2×C4—42no—
653C2×C4—42no—
654C2×C4—42no—
655C2×C4—42no—
656C2×C4—42no—
657C2×C4—42no—
658C2×C4—42no—
659C2×C4—42no—
660C2×C4—42no—
661C2×C4—42no—
662C2×C4—42no—
663C2×C4—42no—
664C2×C4—42no—
665C2×C4—42no—
666C2×C4—42no—
667C2×C4—42no—
668C2×C4—42no—
669C2×C4—42no—
670C2×C4—84no—
671C2×C4—84no—
672C2×C4—84no—
673C2×C4—84no—
674C2×C4—84no—
675C2×C4—84no—
676C2×C4C2×#12114yes—
677C2×C4C2×#12114yes—
678C2×C4C2×#12114yes—
679C2×C4C2×#12112yes—
680C2×C4C2×#12112yes—
681C2×C4#53712yes—
682C2×C4D4214yes—
683C2×C4#54714yes—
684C2×C4#54814yes—
685C2×C4#55314yes—
686C2×C4C23×D411yescharacteristic
687C2×C4C23×D411yescharacteristic
688C2×C4C22×#4111yescharacteristic
689C2×C4C22×#4111yescharacteristic
690C2×C4C2×H(5,𝔽2)11yescharacteristic
691C2×C4C2×2−1+411yescharacteristic
692C8—24no—
693C8—24no—
694C8—42no—
695C8—42no—
696C22—24no—
697C22—24no—
698C22—24no—
699C22—42no—
700C22—42no—
701C22—416no—
702C22—42no—
703C22—42no—
704C22#241614yes—
705C22#304414yes—
706C22#304614yes—
707C22#305914yes—
708C22#306314yes—
709C22#325814yes—
710C22#326114yes—
711C22C22×#12111yescharacteristic
712C22C22×#12111yescharacteristic
713C22C2×#53711yescharacteristic
714C22C2×#57711yescharacteristic
715C22C2×#57811yescharacteristic
716C22C2×#57811yescharacteristic
717C22C2×#57811yescharacteristic
718C4—24no—
719C4—24no—
720C4—24no—
721C4—44no—
722C4—42no—
723C4—42no—
724C4—44no—
725C4—82no—
726C4—82no—
727C4—82no—
728C4—82no—
729C4—82no—
730C4—82no—
731C4#241614yes—
732C4C2×D4211yescharacteristic
733C4C2×#54711yescharacteristic
734C4C2×#54811yescharacteristic
735C4C2×#55311yescharacteristic
736C2—44no—
737C2#2476418yesdirect product factor
738C2C2×#241611yescharacteristic
739C2C2×#304411yescharacteristic
740C2C2×#304611yescharacteristic
741C2C2×#305911yescharacteristic
742C2C2×#306311yescharacteristic
743C2C2×#325811yescharacteristic
744C2C2×#326111yescharacteristic
subgroupG/H
center, socleC24C22×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC25C2×D4
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C24 ◁ C22×#117 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
3. C22×#462C2semidirect
7. #24764C2direct (N × H)
8. C2×#2068C2semidirect
9. C2×#2066C2semidirect
10. C2×#2056C2semidirect
11. C2×#2056C2semidirect
12. C2×#1981C2semidirect
13. C2×#1949C2semidirect
16. C2×#1805C2semidirect
32. C2×#462C22semidirect
68. #2068C22semidirect
69. #2066C22semidirect
70. #2056C22semidirect
71. #2056C22semidirect
72. #1981C22semidirect
73. #1949C22semidirect
76. #1805C22semidirect
737. C2#24764direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#4702
C22×#4672
C22×#4622
C22×#4242
C2×#26212
C2×#23232
#247642
C2×#20682
C2×#20662
C2×#20562
C2×#19812
C2×#19492
C2×#18942
C2×#18922
C2×#18052