Finite Group Databasebeta

← C2×#31665 #7505344

Subgroups — C2×#31665 #7505344

Order 512.

2452 conjugacy classes of subgroups.

The subgroup lattice has 769 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2563C211yesmaximal, characteristic, complemented
2C2×#2445C211yesmaximal, characteristic, complemented
3#31665C2116yesmaximal, direct product factor
4C2×#2101C211yesmaximal, characteristic, complemented
5C2×#2073C211yesmaximal, characteristic, complemented
6C2×#2054C211yesmaximal, characteristic, complemented
7C2×#2023C211yesmaximal, characteristic, complemented
8C2×#2023C211yesmaximal, characteristic, complemented
9C2×#2011C211yesmaximal, characteristic
10C2×#1961C211yesmaximal, characteristic, complemented
11C2×#1936C211yesmaximal, characteristic, complemented
12C2×#1917C211yesmaximal, characteristic, complemented
13C2×#1879C211yesmaximal, characteristic, complemented
14C2×#1879C211yesmaximal, characteristic, complemented
15C2×#1879C211yesmaximal, characteristic, complemented
16C2×#1804C211yesmaximal, characteristic, complemented
17C23×D8C2211yescharacteristic
18C23×D8C2211yescharacteristic
19C22×C4⋊Q8C2211yescharacteristic
20C22×#127C2211yescharacteristic
21C22×#123—21no—
22C22×C4×D4C2211yescharacteristic
23C22×C4×D4C2211yescharacteristic
24C22×C4⋊C8C2211yescharacteristic
25C22×#102C2211yescharacteristic
26C22×#102C2211yescharacteristic
27C22×#102C2211yescharacteristic
28C22×#102C2211yescharacteristic
29C22×#102C2211yescharacteristic
30C22×#102C2211yescharacteristic
31C22×#102C2211yescharacteristic
32C22×#102C2211yescharacteristic
33C22×#97C2211yescharacteristic
34#2563—24no—
35#2563C2218yescomplemented
36#2445—24no—
37#2445C2218yescomplemented
38C2×#394—21no—
39C2×#394—21no—
40C2×#393—21no—
41C2×#393—21no—
42C2×#390C2211yescharacteristic
43C2×#390C2211yescharacteristic
44C2×#390C2211yescharacteristic
45C2×#390C2211yescharacteristic
46C2×#390C2211yescharacteristic
47C2×#389C2211yescharacteristic
48C2×#386—21no—
49C2×#382C2211yescharacteristic
50C2×#382C2211yescharacteristic
51C2×#380—21no—
52C2×#380—21no—
53C2×C4×C4⋊C4C2211yescharacteristic
54#2101C2218yescomplemented
55#2073C2218yescomplemented
56#2054C2218yescomplemented
57#2023C2218yescomplemented
58#2023C2218yescomplemented
59#2011C2218yes—
60#1961C2218yescomplemented
61#1936C2218yescomplemented
62#1917C2218yescomplemented
63#1879C2218yescomplemented
64#1879C2218yescomplemented
65#1879C2218yescomplemented
66#1804C2218yescomplemented
67C2×#340C2211yescharacteristic
68C2×#340C2211yescharacteristic
69C2×#340C2211yescharacteristic
70C2×#340C2211yescharacteristic
71C2×#340C2211yescharacteristic
72C2×#340C2211yescharacteristic
73C2×#336C2211yescharacteristic
74C2×#336C2211yescharacteristic
75C2×#336C2211yescharacteristic
76C2×#336C2211yescharacteristic
77C23×Q8—21no—
78C23×D4—21no—
79C23×D4—21no—
80C23×D4C2311yescharacteristic
81C23×D4C2311yescharacteristic
82C23×D4C2311yescharacteristic
83C24×C4—21no—
84C24×C4—21no—
85C22×D8—24no—
86C22×D8—24no—
87C22×D8—24no—
88C22×D8—42no—
89C22×D8—42no—
90C22×D8—42no—
91C22×D8C2314yes—
92C22×D8C2314yes—
93C23×C8C2311yescharacteristic
94C23×C8C2311yescharacteristic
95C23×C8C2311yescharacteristic
96C23×C8C2311yescharacteristic
97C2×C4⋊Q8—22no—
98C2×C4⋊Q8—42no—
99C2×C4⋊Q8—42no—
100C2×C4⋊Q8C2314yes—
101C2×#127—24no—
102C2×#127—22no—
103C2×#127—42no—
104C2×#127C2314yes—
105C2×#123—28no—
106C2×#123—48no—
107C2×C4×D4—24no—
108C2×C4×D4—22no—
109C2×C4×D4—22no—
110C2×C4×D4—42no—
111C2×C4×D4—42no—
112C2×C4×D4—42no—
113C2×C4×D4C2314yes—
114C2×C4×D4C2314yes—
115C22×C4⋊C4—21no—
116C22×C4⋊C4—21no—
117C22×C4⋊C4D411yescharacteristic
118C22×C4⋊C4D411yescharacteristic
119C22×C4⋊C4C2311yescharacteristic
120C22×C4⋊C4C2311yescharacteristic
121C22×C4⋊C4C2311yescharacteristic
122C22×C4⋊C4C2311yescharacteristic
123C22×C4⋊C4C2311yescharacteristic
124C22×C22⋊C4—21no—
125C22×C22⋊C4—21no—
126C22×C22⋊C4—21no—
127C22×C22⋊C4—21no—
128C22×C22⋊C4—21no—
129C22×C22⋊C4—21no—
130C22×C22⋊C4—21no—
131C22×C22⋊C4—21no—
132C22×C22⋊C4—21no—
133C22×C22⋊C4—21no—
134C22×C22⋊C4—21no—
135C22×C22⋊C4—21no—
136C22×C42C2311yescharacteristic
137C22×C42C2311yescharacteristic
138C22×C42C2311yescharacteristic
139C2×C4⋊C8—42no—
140C2×C4⋊C8C2314yes—
141C2×#102—24no—
142C2×#102—42no—
143C2×#102—42no—
144C2×#102—42no—
145C2×#102—42no—
146C2×#102—42no—
147C2×#102—42no—
148C2×#102—42no—
149C2×#102C2314yes—
150C2×#102C2314yes—
151C2×#102C2314yes—
152C2×#102C2314yes—
153C2×#102C2314yes—
154C2×#102C2314yes—
155C2×#102C2314yes—
156C2×#102C2314yes—
157C2×#97—42no—
158C2×#97C2314yes—
159#394—28no—
160#394—28no—
161#393—28no—
162#393—28no—
163#390—22no—
164#390—22no—
165#390—22no—
166#390—22no—
167#390—22no—
168#390C2314yes—
169#390C2314yes—
170#390C2314yes—
171#390C2314yes—
172#390C2314yes—
173#389—22no—
174#389C2314yes—
175#386—28no—
176#382—22no—
177#382—22no—
178#382C2314yes—
179#382C2314yes—
180#380—28no—
181#380—28no—
182C4×C4⋊C4D414yes—
183C4×C4⋊C4C2314yes—
184C2×#95—21no—
185C2×#95—21no—
186C2×#95—21no—
187C2×#95—21no—
188C2×#95—21no—
189C2×#95D411yescharacteristic
190C2×#95D411yescharacteristic
191#340C2314yes—
192#340C2314yes—
193#340C2314yes—
194#340C2314yes—
195#340C2314yes—
196#340C2314yes—
197#336C2314yes—
198#336C2314yes—
199#336C2314yes—
200#336C2314yes—
201C25—21no—
202C25—21no—
203C25—21no—
204C22×Q8—24no—
205C22×Q8—44no—
206C22×Q8—82no—
207C22×Q8—82no—
208C22×D4—21no—
209C22×D4—21no—
210C22×D4—21no—
211C22×D4—24no—
212C22×D4—24no—
213C22×D4—22no—
214C22×D4—22no—
215C22×D4—22no—
216C22×D4—22no—
217C22×D4—22no—
218C22×D4—22no—
219C22×D4—22no—
220C22×D4—22no—
221C22×D4—22no—
222C22×D4—22no—
223C22×D4—22no—
224C22×D4—22no—
225C22×D4—22no—
226C22×D4—22no—
227C22×D4—22no—
228C22×D4—22no—
229C22×D4—44no—
230C22×D4—44no—
231C22×D4—44no—
232C22×D4—44no—
233C22×D4—82no—
234C22×D4—82no—
235C22×D4#4114yes—
236C22×D4#4114yes—
237C22×D4C2412yes—
238C22×D4C2412yes—
239C22×D4C2412yes—
240C23×C4—21no—
241C23×C4—21no—
242C23×C4—21no—
243C23×C4—21no—
244C23×C4—21no—
245C23×C4—24no—
246C23×C4—24no—
247C23×C4—44no—
248C23×C4—44no—
249C23×C4—44no—
250C23×C4—44no—
251C23×C4—44no—
252C23×C4—82no—
253C23×C4C2×D411yescharacteristic
254C23×C4C2×D411yescharacteristic
255C23×C4C2×D411yescharacteristic
256C23×C4C2×D411yescharacteristic
257C23×C4C2×D411yescharacteristic
258C23×C4C2×D411yescharacteristic
259C23×C4C2411yescharacteristic
260C2×D8—28no—
261C2×D8—28no—
262C2×D8—28no—
263C2×D8—44no—
264C2×D8—44no—
265C2×D8—44no—
266C2×D8—416no—
267C2×D8—416no—
268C22×C8—22no—
269C22×C8—22no—
270C22×C8—22no—
271C22×C8—22no—
272C22×C8—22no—
273C22×C8—22no—
274C22×C8—22no—
275C22×C8—22no—
276C22×C8—22no—
277C22×C8—22no—
278C22×C8—22no—
279C22×C8—22no—
280C22×C8C2412yes—
281C22×C8C2412yes—
282C22×C8C2412yes—
283C22×C8C2412yes—
284C4⋊Q8—44no—
285C4⋊Q8—44no—
286C4⋊Q8—48no—
287#127—28no—
288#127—44no—
289#127—48no—
290#123—432no—
291C4×D4—28no—
292C4×D4—44no—
293C4×D4—44no—
294C4×D4—44no—
295C4×D4—48no—
296C4×D4—48no—
297C2×C4⋊C4—24no—
298C2×C4⋊C4—22no—
299C2×C4⋊C4—22no—
300C2×C4⋊C4—22no—
301C2×C4⋊C4—22no—
302C2×C4⋊C4—22no—
303C2×C4⋊C4—22no—
304C2×C4⋊C4—22no—
305C2×C4⋊C4—22no—
306C2×C4⋊C4—22no—
307C2×C4⋊C4—22no—
308C2×C4⋊C4—24no—
309C2×C4⋊C4—24no—
310C2×C4⋊C4—21no—
311C2×C4⋊C4—21no—
312C2×C4⋊C4—21no—
313C2×C4⋊C4—21no—
314C2×C4⋊C4—21no—
315C2×C4⋊C4—42no—
316C2×C4⋊C4—44no—
317C2×C4⋊C4—44no—
318C2×C4⋊C4C2×D414yes—
319C2×C4⋊C4C2×D414yes—
320C2×C4⋊C4C2412yes—
321C2×C4⋊C4C2412yes—
322C2×C4⋊C4C2412yes—
323C2×C4⋊C4C2412yes—
324C2×C4⋊C4C2412yes—
325C2×C22⋊C4—24no—
326C2×C22⋊C4—24no—
327C2×C22⋊C4—24no—
328C2×C22⋊C4—24no—
329C2×C22⋊C4—24no—
330C2×C22⋊C4—24no—
331C2×C22⋊C4—24no—
332C2×C22⋊C4—24no—
333C2×C22⋊C4—24no—
334C2×C22⋊C4—24no—
335C2×C22⋊C4—24no—
336C2×C22⋊C4—24no—
337C2×C22⋊C4—44no—
338C2×C22⋊C4—44no—
339C2×C22⋊C4—44no—
340C2×C22⋊C4—44no—
341C2×C22⋊C4—44no—
342C2×C22⋊C4—82no—
343C2×C22⋊C4—82no—
344C2×C22⋊C4—82no—
345C2×C22⋊C4—82no—
346C2×C22⋊C4—82no—
347C2×C22⋊C4—82no—
348C2×C22⋊C4—82no—
349C2×C42—22no—
350C2×C42—22no—
351C2×C42—22no—
352C2×C42—22no—
353C2×C42—22no—
354C2×C42—22no—
355C2×C42C2×D412yes—
356C2×C42C2×D412yes—
357C2×C42C2×D412yes—
358C2×C42C2412yes—
359C2×C42C2412yes—
360C2×C42C2412yes—
361C4⋊C8—44no—
362#102—28no—
363#102—44no—
364#102—44no—
365#102—44no—
366#102—44no—
367#102—44no—
368#102—44no—
369#102—44no—
370#97—44no—
371#95—24no—
372#95—24no—
373#95—24no—
374#95—24no—
375#95—24no—
376#95C2×D414yes—
377#95C2×D414yes—
378C24—24no—
379C24—24no—
380C24—22no—
381C24—22no—
382C24—22no—
383C24—42no—
384C24—42no—
385C24—42no—
386C24—42no—
387C24—42no—
388C24—42no—
389C24—42no—
390C24—42no—
391C24—42no—
392C24—42no—
393C24—42no—
394C24—42no—
395C24—42no—
396C24—42no—
397C24—42no—
398C24—42no—
399C24—42no—
400C24—42no—
401C24—42no—
402C24C22×D411yescharacteristic
403C2×Q8—48no—
404C2×Q8—84no—
405C2×Q8—84no—
406C2×Q8—816no—
407C2×D4—28no—
408C2×D4—28no—
409C2×D4—24no—
410C2×D4—24no—
411C2×D4—28no—
412C2×D4—28no—
413C2×D4—22no—
414C2×D4—22no—
415C2×D4—22no—
416C2×D4—22no—
417C2×D4—22no—
418C2×D4—22no—
419C2×D4—22no—
420C2×D4—22no—
421C2×D4—22no—
422C2×D4—22no—
423C2×D4—22no—
424C2×D4—22no—
425C2×D4—22no—
426C2×D4—22no—
427C2×D4—22no—
428C2×D4—22no—
429C2×D4—48no—
430C2×D4—48no—
431C2×D4—48no—
432C2×D4—48no—
433C2×D4—42no—
434C2×D4—42no—
435C2×D4—42no—
436C2×D4—44no—
437C2×D4—44no—
438C2×D4—44no—
439C2×D4—44no—
440C2×D4—42no—
441C2×D4—42no—
442C2×D4—42no—
443C2×D4—42no—
444C2×D4—44no—
445C2×D4—44no—
446C2×D4—44no—
447C2×D4—44no—
448C2×D4—84no—
449C2×D4—84no—
450C2×D4—816no—
451C2×D4—816no—
452C2×D4C2×#4114yes—
453C2×D4C2×#4114yes—
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—48no—
477C22×C4—48no—
478C22×C4—48no—
479C22×C4—48no—
480C22×C4—42no—
481C22×C4—42no—
482C22×C4—42no—
483C22×C4—42no—
484C22×C4—42no—
485C22×C4—42no—
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—48no—
496C22×C4—84no—
497C22×C4—816no—
498C22×C4—816no—
499C22×C4AGL(1,ℤ/8)14yes—
500C22×C4C22×D412yes—
501C22×C4C22×D412yes—
502C22×C4C22×D412yes—
503C22×C4C22×D412yes—
504C22×C4C22×D412yes—
505C22×C4C22×D412yes—
506C22×C4C22×D411yescharacteristic
507C22×C4C2×#4112yes—
508C22×C4C2×#4112yes—
509C22×C4H(5,𝔽2)12yes—
510C22×C4H(5,𝔽2)12yes—
511C22×C4H(5,𝔽2)12yes—
512C22×C42−1+412yes—
513C22×C4C2511yescharacteristic
514D8—416no—
515D8—416no—
516C2×C8—22no—
517C2×C8—22no—
518C2×C8—22no—
519C2×C8—22no—
520C2×C8—22no—
521C2×C8—22no—
522C2×C8—22no—
523C2×C8—22no—
524C2×C8—22no—
525C2×C8—22no—
526C2×C8—22no—
527C2×C8—22no—
528C2×C8—44no—
529C2×C8—44no—
530C2×C8—44no—
531C2×C8—44no—
532C4⋊C4—28no—
533C4⋊C4—22no—
534C4⋊C4—22no—
535C4⋊C4—22no—
536C4⋊C4—22no—
537C4⋊C4—22no—
538C4⋊C4—22no—
539C4⋊C4—22no—
540C4⋊C4—22no—
541C4⋊C4—22no—
542C4⋊C4—22no—
543C4⋊C4—44no—
544C4⋊C4—48no—
545C4⋊C4—48no—
546C4⋊C4—42no—
547C4⋊C4—42no—
548C4⋊C4—42no—
549C4⋊C4—42no—
550C4⋊C4—42no—
551C22⋊C4—48no—
552C22⋊C4—48no—
553C22⋊C4—48no—
554C22⋊C4—48no—
555C22⋊C4—48no—
556C22⋊C4—84no—
557C22⋊C4—84no—
558C22⋊C4—84no—
559C22⋊C4—84no—
560C22⋊C4—84no—
561C22⋊C4—84no—
562C22⋊C4—84no—
563C42—24no—
564C42—24no—
565C42—24no—
566C42—22no—
567C42—22no—
568C42—22no—
569C42—22no—
570C42—22no—
571C42—22no—
572C23—24no—
573C23—24no—
574C23—48no—
575C23—48no—
576C23—42no—
577C23—42no—
578C23—42no—
579C23—48no—
580C23—48no—
581C23—42no—
582C23—48no—
583C23—42no—
584C23—42no—
585C23—42no—
586C23—42no—
587C23—48no—
588C23—42no—
589C23—42no—
590C23—42no—
591C23—42no—
592C23—42no—
593C23—42no—
594C23—42no—
595C23—42no—
596C23—42no—
597C23—42no—
598C23—42no—
599C23—84no—
600C23—84no—
601C23—84no—
602C23—84no—
603C23—84no—
604C23—84no—
605C23—84no—
606C23—84no—
607C23—84no—
608C23—84no—
609C23—84no—
610C23—84no—
611C23—84no—
612C23—84no—
613C23—84no—
614C23#53512yes—
615C23#54612yes—
616C23#54812yes—
617C23C2×AGL(1,ℤ/8)12yes—
618C23#57512yes—
619C23#57612yes—
620C23#57612yes—
621C23C23×D411yescharacteristic
622Q8—816no—
623D4—24no—
624D4—24no—
625D4—24no—
626D4—24no—
627D4—42no—
628D4—42no—
629D4—42no—
630D4—42no—
631D4—48no—
632D4—48no—
633D4—42no—
634D4—42no—
635D4—42no—
636D4—42no—
637D4—816no—
638D4—816no—
639D4—84no—
640C2×C4—22no—
641C2×C4—28no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—22no—
650C2×C4—22no—
651C2×C4—22no—
652C2×C4—22no—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—22no—
656C2×C4—22no—
657C2×C4—22no—
658C2×C4—44no—
659C2×C4—44no—
660C2×C4—44no—
661C2×C4—44no—
662C2×C4—44no—
663C2×C4—42no—
664C2×C4—42no—
665C2×C4—42no—
666C2×C4—42no—
667C2×C4—42no—
668C2×C4—42no—
669C2×C4—42no—
670C2×C4—42no—
671C2×C4—42no—
672C2×C4—42no—
673C2×C4—42no—
674C2×C4—42no—
675C2×C4—42no—
676C2×C4—42no—
677C2×C4—42no—
678C2×C4—816no—
679C2×C4—816no—
680C2×C4—84no—
681C2×C4—84no—
682C2×C4—84no—
683C2×C4—84no—
684C2×C4—84no—
685C2×C4#53512yes—
686C2×C4#53814yes—
687C2×C4#53914yes—
688C2×C4#54612yes—
689C2×C4#54812yes—
690C2×C4#55114yes—
691C2×C4#56214yes—
692C2×C4C2×AGL(1,ℤ/8)14yes—
693C2×C4C22×#4111yescharacteristic
694C2×C4C22×#4111yescharacteristic
695C2×C4C2×H(5,𝔽2)11yescharacteristic
696C2×C4C2×H(5,𝔽2)11yescharacteristic
697C2×C4C2×H(5,𝔽2)11yescharacteristic
698C2×C4C2×2−1+411yescharacteristic
699C8—42no—
700C8—42no—
701C8—42no—
702C8—42no—
703C22—44no—
704C22—44no—
705C22—44no—
706C22—44no—
707C22—44no—
708C22—44no—
709C22—82no—
710C22—82no—
711C22—82no—
712C22—82no—
713C22—82no—
714C22—82no—
715C22—816no—
716C22—816no—
717C22—82no—
718C22—82no—
719C22—82no—
720C22—82no—
721C22—82no—
722C22—82no—
723C22—82no—
724C22—82no—
725C22—82no—
726C22—168no—
727C22#269614yes—
728C22#321314yes—
729C22#322014yes—
730C22#331914yes—
731C22#332514yes—
732C22#336614yes—
733C22#337014yes—
734C22C2×#53511yescharacteristic
735C22C2×#54611yescharacteristic
736C22C2×#54811yescharacteristic
737C22C22×AGL(1,ℤ/8)11yescharacteristic
738C22C2×#57511yescharacteristic
739C22C2×#57611yescharacteristic
740C22C2×#57611yescharacteristic
741C4—24no—
742C4—42no—
743C4—42no—
744C4—42no—
745C4—42no—
746C4—42no—
747C4—82no—
748C4—82no—
749C4—82no—
750C4—82no—
751C4—82no—
752C4#269614yes—
753C4C2×#53811yescharacteristic
754C4C2×#53911yescharacteristic
755C4C2×#55111yescharacteristic
756C4C2×#56211yescharacteristic
757C2—84no—
758C2—84no—
759C2—162no—
760C2#3166518yesdirect product factor
761C2C2×#269611yescharacteristic
762C2C2×#321311yescharacteristic
763C2C2×#322011yescharacteristic
764C2C2×#331911yescharacteristic
765C2C2×#332511yescharacteristic
766C2C2×#336611yescharacteristic
767C2C2×#337011yescharacteristic
subgroupG/H
center, socleC24C22×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC2×#2011C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C24 ◁ C2×C4×C4⋊C4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#2563C2semidirect
2. C2×#2445C2semidirect
3. #31665C2direct (N × H)
4. C2×#2101C2semidirect
5. C2×#2073C2semidirect
6. C2×#2054C2semidirect
7. C2×#2023C2semidirect
8. C2×#2023C2semidirect
10. C2×#1961C2semidirect
11. C2×#1936C2semidirect
12. C2×#1917C2semidirect
13. C2×#1879C2semidirect
14. C2×#1879C2semidirect
15. C2×#1879C2semidirect
16. C2×#1804C2semidirect
35. #2563C22semidirect
37. #2445C22semidirect
54. #2101C22semidirect
55. #2073C22semidirect
56. #2054C22semidirect
57. #2023C22semidirect
58. #2023C22semidirect
60. #1961C22semidirect
61. #1936C22semidirect
62. #1917C22semidirect
63. #1879C22semidirect
64. #1879C22semidirect
65. #1879C22semidirect
66. #1804C22semidirect
760. C2#31665direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#25632
C2×#24452
#316652
C2×#21012
C2×#20732
C2×#20542
C2×#20232
C2×#20112
C2×#19612
C2×#19362
C2×#19172
C2×#18792
C2×#18042