Finite Group Databasebeta

← #6660828

Subgroups — #6660828

Order 512.

2448 conjugacy classes of subgroups.

The subgroup lattice has 783 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2856C211yesmaximal, characteristic
2C2×#2855C211yesmaximal, characteristic, complemented
3#32721C214yesmaximal, complemented
4#30327C214yesmaximal, complemented
5#29909C212yesmaximal, complemented
6#29754C212yesmaximal, complemented
7#29713C212yesmaximal, complemented
8#29625C212yesmaximal, complemented
9#29334C212yesmaximal, complemented
10#28314C212yesmaximal, complemented
11#24507C214yesmaximal, complemented
12#24002C212yesmaximal, complemented
13#23919C212yesmaximal, complemented
14#20715C211yesmaximal, characteristic, complemented
15C22×#127C2211yescharacteristic
16C22×C22⋊Q8C2211yescharacteristic
17C22×#121—21no—
18C22×#121—21no—
19C22×#121C2212yes—
20C23×C42C2211yescharacteristic
21C2×#480C2214yescomplemented
22C2×#448C2214yescomplemented
23C2×#450C2214yes—
24C2×#432C2212yes—
25#2856—21no—
26#2856—21no—
27#2856—21no—
28#2856—21no—
29#2856C2212yes—
30#2856C2212yes—
31#2856C2212yes—
32#2856C2212yes—
33#2855—21no—
34#2855—21no—
35#2855—21no—
36#2855—21no—
37#2855C2212yes—
38#2855C2212yes—
39#2855C2212yescomplemented
40#2855C2212yescomplemented
41C2×#391C2211yescharacteristic, complemented
42C2×#391C2211yescharacteristic, complemented
43C2×#390—21no—
44C2×#390—21no—
45C2×#390C2212yes—
46C2×#389C2211yescharacteristic, complemented
47C2×#389C2211yescharacteristic, complemented
48C2×#387—21no—
49C2×#387—21no—
50C2×#385—21no—
51C2×#384C2211yescharacteristic
52C2×#381—21no—
53C2×#380C2211yescharacteristic
54#2100C2214yescomplemented
55#2095C2214yescomplemented
56#2083C2214yescomplemented
57#2072C2214yescomplemented
58#2067C2218yescomplemented
59#2055C2218yescomplemented
60#2041C2214yescomplemented
61#2041C2214yescomplemented
62#2033C2218yescomplemented
63#2014C2214yescomplemented
64#2014C2214yescomplemented
65#2000C2218yescomplemented
66#1973C2218yescomplemented
67#1936C2218yescomplemented
68#1874C2214yescomplemented
69#1874C2214yescomplemented
70#1872C2214yes—
71#1852C2214yes—
72#1817C2212yes—
73#1797C2212yescomplemented
74#1797C2212yescomplemented
75#1786C2214yes—
76#1779C2212yes—
77#1749C2212yescomplemented
78#1749C2212yescomplemented
79C23×Q8C2311yescharacteristic
80C23×D4—22no—
81C23×D4—21no—
82C23×D4—21no—
83C23×D4C2312yes—
84C24×C4D411yescharacteristic
85C24×C4D411yescharacteristic
86C24×C4C2311yescharacteristic
87C22×SD16C2318yes—
88C2×#127—21no—
89C2×#127—21no—
90C2×#127—44no—
91C2×#127C2312yes—
92C2×#127C2312yes—
93C2×C22⋊Q8—21no—
94C2×C22⋊Q8—21no—
95C2×C22⋊Q8—44no—
96C2×C22⋊Q8C2312yes—
97C2×C22⋊Q8C2312yes—
98C2×#121—22no—
99C2×#121—22no—
100C2×#121—22no—
101C2×#121—22no—
102C2×#121—22no—
103C2×#121—22no—
104C2×#121—22no—
105C2×#121—22no—
106C2×#121—22no—
107C2×#121—22no—
108C2×#121—48no—
109C2×#121—48no—
110C2×#121—48no—
111C2×#121C2314yes—
112C2×#121C2314yes—
113C22×C4⋊C4—21no—
114C22×C4⋊C4—21no—
115C22×C4⋊C4—21no—
116C22×C4⋊C4—21no—
117C22×C4⋊C4—21no—
118C22×C4⋊C4C2311yescharacteristic
119C22×C4⋊C4C2312yes—
120C22×C4⋊C4C2311yescharacteristic
121C22×C4⋊C4C2311yescharacteristic
122C22×C22⋊C4—21no—
123C22×C22⋊C4—21no—
124C22×C22⋊C4—22no—
125C22×C22⋊C4—22no—
126C22×C22⋊C4—22no—
127C22×C42—44no—
128C22×C42D411yescharacteristic
129C22×C42D411yescharacteristic
130C22×C42D411yescharacteristic
131C22×C42D411yescharacteristic
132C22×C42D411yescharacteristic
133C22×C42D411yescharacteristic
134C22×C42C2311yescharacteristic
135C22×C42C2311yescharacteristic
136C22×C42C2311yescharacteristic
137C22×C42C2311yescharacteristic
138C22×C42C2311yescharacteristic
139C22×C42C2311yescharacteristic
140#480—48no—
141#450—48no—
142#448—48no—
143#432—44no—
144C2×#107C2318yes—
145C2×C4⋊C8C2314yes—
146C2×#103C2318yes—
147C2×#102C2318yes—
148C2×#102C2318yes—
149C2×#102C2318yes—
150C2×C22⋊C8C2314yes—
151C2×C22⋊C8C2314yes—
152C2×C22⋊C8C2314yes—
153C2×#97C2314yes—
154#391—21no—
155#391—21no—
156#391—21no—
157#391—21no—
158#391C2312yes—
159#391C2312yes—
160#391C2312yes—
161#391C2312yes—
162#390—22no—
163#390—22no—
164#390—22no—
165#390—22no—
166#390—22no—
167#390—22no—
168#390—22no—
169#390—22no—
170#390—22no—
171#390—22no—
172#390C2314yes—
173#390C2314yes—
174#389—21no—
175#389—21no—
176#389—21no—
177#389—21no—
178#389C2312yes—
179#389C2312yes—
180#389C2312yes—
181#389C2312yes—
182#387—22no—
183#387—22no—
184#387—22no—
185#387—22no—
186#387—22no—
187#387—22no—
188#387—22no—
189#387—22no—
190#385—22no—
191#385—22no—
192#385—22no—
193#385—22no—
194#384—21no—
195#384—21no—
196#384C2312yes—
197#384C2312yes—
198#381—22no—
199#381—22no—
200#381—22no—
201#381—22no—
202#380—21no—
203#380—21no—
204#380C2312yes—
205#380C2312yes—
206C2×#95—21no—
207C2×#95—21no—
208C2×#95—21no—
209C2×#95—21no—
210C2×#95—21no—
211C2×#95—21no—
212C2×#95—21no—
213#340C2318yes—
214#340C2318yes—
215#336C2314yes—
216#336C2314yes—
217C25—22no—
218C25C2×D411yescharacteristic
219C22×Q8—21no—
220C22×Q8—24no—
221C22×Q8—42no—
222C22×Q8—42no—
223C22×Q8C2412yes—
224C22×D4—24no—
225C22×D4—24no—
226C22×D4—22no—
227C22×D4—22no—
228C22×D4—22no—
229C22×D4—22no—
230C22×D4—22no—
231C22×D4—28no—
232C22×D4—44no—
233C22×D4—44no—
234C22×D4—44no—
235C22×D4—44no—
236C22×D4—44no—
237C22×D4—44no—
238C22×D4—44no—
239C22×D4—48no—
240C22×D4—48no—
241C22×D4—48no—
242C22×D4—44no—
243C22×D4C2414yes—
244C23×C4—24no—
245C23×C4—24no—
246C23×C4—24no—
247C23×C4—24no—
248C23×C4—24no—
249C23×C4—22no—
250C23×C4—21no—
251C23×C4—21no—
252C23×C4—21no—
253C23×C4—21no—
254C23×C4—42no—
255C23×C4—42no—
256C23×C4—42no—
257C23×C4—42no—
258C23×C4C2×D411yescharacteristic
259C23×C4C2×D411yescharacteristic
260C23×C4C2×D411yescharacteristic
261C23×C4C2×D411yescharacteristic
262C23×C4C2×D411yescharacteristic
263C23×C4C2×D411yescharacteristic
264C23×C4C2×D411yescharacteristic
265C23×C4C2×D411yescharacteristic
266C23×C4C2×D411yescharacteristic
267C23×C4C2×D411yescharacteristic
268C23×C4C2×D411yescharacteristic
269C23×C4C2×D411yescharacteristic
270C23×C4C2×D411yescharacteristic
271C23×C4C2×D411yescharacteristic
272C23×C4C2×D411yescharacteristic
273C23×C4C2411yescharacteristic
274C23×C4C2411yescharacteristic
275C23×C4C2411yescharacteristic
276C2×SD16—48no—
277C2×SD16—48no—
278C2×SD16—48no—
279C22×C8C2418yes—
280#127—44no—
281#127—44no—
282#127—44no—
283#127—44no—
284C22⋊Q8—28no—
285C22⋊Q8—44no—
286C22⋊Q8—44no—
287C22⋊Q8—44no—
288#121—28no—
289#121—28no—
290#121—44no—
291#121—44no—
292#121—48no—
293#121—48no—
294#121—48no—
295#121—48no—
296#121—48no—
297#121—48no—
298#121—48no—
299#121—48no—
300#121—48no—
301#121—48no—
302C2×C4⋊C4—24no—
303C2×C4⋊C4—22no—
304C2×C4⋊C4—22no—
305C2×C4⋊C4—22no—
306C2×C4⋊C4—22no—
307C2×C4⋊C4—22no—
308C2×C4⋊C4—22no—
309C2×C4⋊C4—22no—
310C2×C4⋊C4—22no—
311C2×C4⋊C4—22no—
312C2×C4⋊C4—22no—
313C2×C4⋊C4—22no—
314C2×C4⋊C4—21no—
315C2×C4⋊C4—21no—
316C2×C4⋊C4—21no—
317C2×C4⋊C4—42no—
318C2×C4⋊C4—44no—
319C2×C4⋊C4—42no—
320C2×C4⋊C4—44no—
321C2×C4⋊C4—44no—
322C2×C4⋊C4—44no—
323C2×C4⋊C4—44no—
324C2×C4⋊C4—44no—
325C2×C4⋊C4C2414yes—
326C2×C4⋊C4C2412yes—
327C2×C4⋊C4C2412yes—
328C2×C4⋊C4C2412yes—
329C2×C22⋊C4—22no—
330C2×C22⋊C4—22no—
331C2×C22⋊C4—22no—
332C2×C22⋊C4—22no—
333C2×C22⋊C4—24no—
334C2×C22⋊C4—24no—
335C2×C22⋊C4—24no—
336C2×C22⋊C4—24no—
337C2×C22⋊C4—24no—
338C2×C22⋊C4—24no—
339C2×C22⋊C4—48no—
340C2×C22⋊C4—48no—
341C2×C22⋊C4—48no—
342C2×C22⋊C4—44no—
343C2×C22⋊C4—44no—
344C2×C42—24no—
345C2×C42—24no—
346C2×C42—42no—
347C2×C42—42no—
348C2×C42—42no—
349C2×C42—42no—
350C2×C42—42no—
351C2×C42—42no—
352C2×C42—42no—
353C2×C42—42no—
354C2×C42—42no—
355C2×C42—42no—
356C2×C42C2×D411yescharacteristic
357C2×C42C2×D411yescharacteristic
358C2×C42C2×D411yescharacteristic
359C2×C42C2×D411yescharacteristic
360C2×C42C2×D411yescharacteristic
361C2×C42C2×D411yescharacteristic
362C2×C42C2×D411yescharacteristic
363C2×C42C2×D411yescharacteristic
364C2×C42C2×D411yescharacteristic
365C2×C42C2×D411yescharacteristic
366C2×C42C2×D411yescharacteristic
367C2×C42C2×D411yescharacteristic
368C2×C42C2411yescharacteristic
369C2×C42C2411yescharacteristic
370C2×C42C2411yescharacteristic
371C2×C42C2411yescharacteristic
372#107—48no—
373C4⋊C8—44no—
374#103—48no—
375#102—48no—
376#102—48no—
377#102—48no—
378C22⋊C8—28no—
379C22⋊C8—28no—
380C22⋊C8—44no—
381#97—44no—
382#95—22no—
383#95—22no—
384#95—22no—
385#95—22no—
386#95—22no—
387#95—22no—
388#95—22no—
389#95—22no—
390#95—22no—
391#95—22no—
392#95—22no—
393#95—22no—
394#95—22no—
395#95—22no—
396C24—22no—
397C24—22no—
398C24—22no—
399C24—22no—
400C24—24no—
401C24—41no—
402C24—41no—
403C24—44no—
404C24—44no—
405C24—44no—
406C24—44no—
407C24—44no—
408C24—44no—
409C24—44no—
410C24AGL(1,ℤ/8)14yes—
411C24C22×D411yescharacteristic
412C24C22×D411yescharacteristic
413C24C22×D411yescharacteristic
414C2×Q8—24no—
415C2×Q8—24no—
416C2×Q8—24no—
417C2×Q8—42no—
418C2×Q8—42no—
419C2×Q8—42no—
420C2×Q8—88no—
421C2×D4—24no—
422C2×D4—28no—
423C2×D4—24no—
424C2×D4—28no—
425C2×D4—44no—
426C2×D4—44no—
427C2×D4—44no—
428C2×D4—44no—
429C2×D4—44no—
430C2×D4—44no—
431C2×D4—44no—
432C2×D4—44no—
433C2×D4—44no—
434C2×D4—44no—
435C2×D4—48no—
436C2×D4—48no—
437C2×D4—48no—
438C2×D4—48no—
439C2×D4—48no—
440C2×D4—48no—
441C2×D4—44no—
442C2×D4—44no—
443C2×D4—44no—
444C2×D4—44no—
445C2×D4—44no—
446C2×D4—816no—
447C2×D4—816no—
448C2×D4—816no—
449C2×D4—832no—
450C22×C4—22no—
451C22×C4—22no—
452C22×C4—22no—
453C22×C4—22no—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4—22no—
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—22no—
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—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—24no—
491C22×C4—41no—
492C22×C4—41no—
493C22×C4—41no—
494C22×C4—41no—
495C22×C4—41no—
496C22×C4—41no—
497C22×C4—41no—
498C22×C4—41no—
499C22×C4—41no—
500C22×C4—41no—
501C22×C4—41no—
502C22×C4—41no—
503C22×C4—41no—
504C22×C4—41no—
505C22×C4—416no—
506C22×C4—416no—
507C22×C4—416no—
508C22×C4—42no—
509C22×C4—44no—
510C22×C4—44no—
511C22×C4—42no—
512C22×C4—42no—
513C22×C4—42no—
514C22×C4—42no—
515C22×C4—42no—
516C22×C4—42no—
517C22×C4—42no—
518C22×C4—44no—
519C22×C4—42no—
520C22×C4—42no—
521C22×C4—42no—
522C22×C4—42no—
523C22×C4AGL(1,ℤ/8)14yes—
524C22×C4#13714yes—
525C22×C4C22×D411yescharacteristic
526C22×C4C22×D411yescharacteristic
527C22×C4C22×D411yescharacteristic
528C22×C4C22×D411yescharacteristic
529C22×C4C22×D411yescharacteristic
530C22×C4C22×D411yescharacteristic
531C22×C4C22×D411yescharacteristic
532C22×C4C22×D411yescharacteristic
533C22×C4C22×D411yescharacteristic
534C22×C4C22×D411yescharacteristic
535C22×C4C22×D411yescharacteristic
536C22×C4H(5,𝔽2)14yes—
537C22×C4H(5,𝔽2)14yes—
538C22×C4C2511yescharacteristic
539SD16—816no—
540C2×C8—28no—
541C2×C8—28no—
542C2×C8—28no—
543C4⋊C4—24no—
544C4⋊C4—24no—
545C4⋊C4—24no—
546C4⋊C4—24no—
547C4⋊C4—24no—
548C4⋊C4—42no—
549C4⋊C4—44no—
550C4⋊C4—44no—
551C4⋊C4—44no—
552C4⋊C4—44no—
553C4⋊C4—44no—
554C4⋊C4—42no—
555C4⋊C4—44no—
556C4⋊C4—44no—
557C4⋊C4—42no—
558C4⋊C4—44no—
559C4⋊C4—44no—
560C4⋊C4—44no—
561C4⋊C4—44no—
562C22⋊C4—48no—
563C22⋊C4—48no—
564C22⋊C4—48no—
565C22⋊C4—48no—
566C22⋊C4—44no—
567C22⋊C4—44no—
568C22⋊C4—44no—
569C22⋊C4—44no—
570C22⋊C4—48no—
571C22⋊C4—48no—
572C42—22no—
573C42—22no—
574C42—22no—
575C42—22no—
576C42—22no—
577C42—22no—
578C42—22no—
579C42—22no—
580C42—41no—
581C42—41no—
582C42—41no—
583C42—41no—
584C42—41no—
585C42—41no—
586C42—41no—
587C42—41no—
588C23—21no—
589C23—21no—
590C23—21no—
591C23—21no—
592C23—21no—
593C23—21no—
594C23—21no—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—28no—
599C23—21no—
600C23—28no—
601C23—21no—
602C23—21no—
603C23—21no—
604C23—44no—
605C23—44no—
606C23—44no—
607C23—44no—
608C23—44no—
609C23—44no—
610C23—44no—
611C23—44no—
612C23—44no—
613C23—44no—
614C23—44no—
615C23—44no—
616C23—88no—
617C23—88no—
618C23—88no—
619C23—88no—
620C23—88no—
621C23—88no—
622C23—88no—
623C23#53412yes—
624C23#53512yes—
625C23C2×AGL(1,ℤ/8)12yes—
626C23C2×AGL(1,ℤ/8)12yes—
627C23C2×AGL(1,ℤ/8)12yes—
628C23C2×AGL(1,ℤ/8)12yes—
629C23C2×#13712yes—
630C23C23×D411yescharacteristic
631Q8—48no—
632Q8—84no—
633D4—48no—
634D4—48no—
635D4—88no—
636D4—88no—
637D4—88no—
638D4—88no—
639D4—88no—
640D4—816no—
641D4—816no—
642C2×C4—28no—
643C2×C4—21no—
644C2×C4—21no—
645C2×C4—21no—
646C2×C4—21no—
647C2×C4—21no—
648C2×C4—21no—
649C2×C4—21no—
650C2×C4—28no—
651C2×C4—21no—
652C2×C4—21no—
653C2×C4—21no—
654C2×C4—21no—
655C2×C4—21no—
656C2×C4—21no—
657C2×C4—21no—
658C2×C4—28no—
659C2×C4—28no—
660C2×C4—21no—
661C2×C4—21no—
662C2×C4—21no—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—21no—
666C2×C4—21no—
667C2×C4—21no—
668C2×C4—21no—
669C2×C4—21no—
670C2×C4—21no—
671C2×C4—21no—
672C2×C4—44no—
673C2×C4—44no—
674C2×C4—44no—
675C2×C4—44no—
676C2×C4—44no—
677C2×C4—44no—
678C2×C4—44no—
679C2×C4—44no—
680C2×C4—44no—
681C2×C4—44no—
682C2×C4—44no—
683C2×C4—44no—
684C2×C4—44no—
685C2×C4—44no—
686C2×C4—42no—
687C2×C4—42no—
688C2×C4—44no—
689C2×C4—42no—
690C2×C4—42no—
691C2×C4—42no—
692C2×C4—42no—
693C2×C4—44no—
694C2×C4—44no—
695C2×C4—42no—
696C2×C4—42no—
697C2×C4—42no—
698C2×C4—42no—
699C2×C4—42no—
700C2×C4—42no—
701C2×C4—84no—
702C2×C4—84no—
703C2×C4—88no—
704C2×C4—84no—
705C2×C4—84no—
706C2×C4#53412yes—
707C2×C4#53512yes—
708C2×C4C2×AGL(1,ℤ/8)12yes—
709C2×C4C2×AGL(1,ℤ/8)12yes—
710C2×C4C2×#13712yes—
711C2×C4C2×#13712yes—
712C2×C4#57512yes—
713C2×C4C2×H(5,𝔽2)12yes—
714C2×C4C2×H(5,𝔽2)12yes—
715C2×C4#58512yes—
716C8—48no—
717C22—22no—
718C22—22no—
719C22—22no—
720C22—22no—
721C22—22no—
722C22—22no—
723C22—22no—
724C22—22no—
725C22—22no—
726C22—22no—
727C22—22no—
728C22—22no—
729C22—22no—
730C22—22no—
731C22—22no—
732C22—416no—
733C22—41no—
734C22—41no—
735C22—41no—
736C22—41no—
737C22—84no—
738C22—84no—
739C22—84no—
740C22—84no—
741C22—84no—
742C22—84no—
743C22—84no—
744C22—1616no—
745C22#319314yes—
746C22#321714yes—
747C22C2×#53411yescharacteristic
748C22C2×#53511yescharacteristic
749C22#344911yescharacteristic
750C22C22×AGL(1,ℤ/8)11yescharacteristic
751C22C22×AGL(1,ℤ/8)11yescharacteristic
752C22C22×#13711yescharacteristic
753C22C2×#57511yescharacteristic
754C4—22no—
755C4—22no—
756C4—22no—
757C4—22no—
758C4—22no—
759C4—22no—
760C4—22no—
761C4—41no—
762C4—41no—
763C4—41no—
764C4—41no—
765C4—82no—
766C4—82no—
767C4—82no—
768C4—82no—
769C4—84no—
770C4#353414yes—
771C2—24no—
772C2—24no—
773C2—42no—
774C2—164no—
775C2#3744011yescharacteristic
776C2C2×#319311yescharacteristic
777C2#6075011yescharacteristic
778C2C2×#321711yescharacteristic
779C2#6080411yescharacteristic
780C2#6095811yescharacteristic
781C2#6096911yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC2×#2856C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C23×C42 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
2. C2×#2855C2semidirect
3. #32721C2semidirect
4. #30327C2semidirect
5. #29909C2semidirect
6. #29754C2semidirect
7. #29713C2semidirect
8. #29625C2semidirect
9. #29334C2semidirect
10. #28314C2semidirect
11. #24507C2semidirect
12. #24002C2semidirect
13. #23919C2semidirect
14. #20715C2semidirect
21. C2×#480C22semidirect
22. C2×#448C22semidirect
39. #2855C22semidirect
40. #2855C22semidirect
41. C2×#391C22semidirect
42. C2×#391C22semidirect
46. C2×#389C22semidirect
47. C2×#389C22semidirect
54. #2100C22semidirect
55. #2095C22semidirect
56. #2083C22semidirect
57. #2072C22semidirect
58. #2067C22semidirect
59. #2055C22semidirect
60. #2041C22semidirect
61. #2041C22semidirect
62. #2033C22semidirect
63. #2014C22semidirect
64. #2014C22semidirect
65. #2000C22semidirect
66. #1973C22semidirect
67. #1936C22semidirect
68. #1874C22semidirect
69. #1874C22semidirect
73. #1797C22semidirect
74. #1797C22semidirect
77. #1749C22semidirect
78. #1749C22semidirect

Maximal subgroups

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

subgroupindex
C2×#28562
C2×#28552
#327212
#303272
#299092
#297542
#297132
#296252
#293342
#283142
#245072
#240022
#239192
#207152