Finite Group Databasebeta

← #706061

Subgroups — #706061

Order 512.

2862 conjugacy classes of subgroups.

The subgroup lattice has 811 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2414C211yesmaximal, characteristic
2C2×#2317C211yesmaximal, characteristic, complemented
3#17060C212yesmaximal, complemented
4#16691C212yesmaximal, complemented
5#15391C214yesmaximal, complemented
6#15377C214yesmaximal, complemented
7#15244C212yesmaximal, complemented
8#15183C212yesmaximal, complemented
9#15138C212yesmaximal, complemented
10#15025C212yesmaximal, complemented
11#14257C211yesmaximal, characteristic, complemented
12#14137C211yesmaximal, characteristic, complemented
13#13998C212yesmaximal, complemented
14#13918C212yesmaximal, complemented
15#13872C211yesmaximal, characteristic, complemented
16#13839C211yesmaximal, characteristic, complemented
17#13801C211yesmaximal, characteristic, complemented
18C22×#121C2211yescharacteristic
19C22×#121C2211yescharacteristic
20C22×C4×D4C2211yescharacteristic
21C22×#117C2211yescharacteristic
22C22×#117C2211yescharacteristic
23C23×C4⋊C4C2211yescharacteristic
24#2414—28no—
25C2×#397C2214yes—
26C2×#394C2212yes—
27C2×#392C2212yes—
28#2317—28no—
29C2×#390C2211yescharacteristic
30C2×#390C2212yes—
31C2×#390C2214yes—
32C2×#390C2212yes—
33C2×#390C2212yes—
34C2×#389C2212yes—
35C2×#389C2212yes—
36C2×#389C2211yescharacteristic
37C2×#388C2212yes—
38C2×#386C2212yes—
39C2×#386C2214yes—
40C2×#385C2214yes—
41C2×#384C2212yes—
42C2×#382C2212yes—
43C2×#382C2214yes—
44C2×#380C2211yescharacteristic
45C2×#380C2211yescharacteristic
46C2×#380C2212yes—
47C2×C4×C4⋊C4C2212yes—
48C2×C4×C22⋊C4C2211yescharacteristic
49C2×C4×C22⋊C4C2212yes—
50#1445C2214yes—
51#1443C2214yes—
52#1442C2214yes—
53#1442C2214yes—
54#1441C2211yescharacteristic
55#1441C2211yescharacteristic
56#1441C2212yes—
57#1440C2212yes—
58#1440C2214yes—
59#1440C2214yes—
60#1440C2214yes—
61#1439C2211yescharacteristic
62#1439C2211yescharacteristic
63#1439C2214yes—
64#1439C2214yes—
65#1439C2214yes—
66#1439C2212yes—
67#1439C2212yes—
68#1439C2212yes—
69#1439C2212yes—
70#1439C2212yes—
71#1438C2212yes—
72#1438C2214yes—
73#1438C2214yes—
74#1437C2214yes—
75#1437C2214yes—
76C4⋊#95C2212yes—
77C4⋊#95C2212yes—
78C4⋊#95C2212yes—
79C4⋊#95C2212yes—
80#1434C2214yes—
81#1434C2212yes—
82C22⋊#95C2212yes—
83C4×#95C2212yes—
84C4×#95C2212yes—
85C23×D4C2311yescharacteristic
86C23×D4C2311yescharacteristic
87C23×D4C2312yes—
88C23×D4C2312yes—
89C24×C4C2311yescharacteristic
90C24×C4C2311yescharacteristic
91C24×C4C2312yes—
92C2×#121—24no—
93C2×#121—24no—
94C2×#121—24no—
95C2×#121—24no—
96C2×#121—28no—
97C2×C4×D4—24no—
98C2×C4×D4—24no—
99C2×C4×D4—24no—
100C2×#117—24no—
101C2×#117—28no—
102C2×#117—44no—
103C2×#117D418yes—
104C22×C4⋊C4—24no—
105C22×C4⋊C4—44no—
106C22×C4⋊C4C2312yes—
107C22×C4⋊C4C2311yescharacteristic
108C22×C4⋊C4C2311yescharacteristic
109C22×C4⋊C4C2312yes—
110C22×C4⋊C4C2311yescharacteristic
111C22×C4⋊C4C2312yes—
112C22×C4⋊C4C2314yes—
113C22×C4⋊C4C2312yes—
114C22×C4⋊C4C2311yescharacteristic
115C22×C4⋊C4C2311yescharacteristic
116C22×C4⋊C4C2314yes—
117C22×C4⋊C4C2311yescharacteristic
118C22×C22⋊C4C2311yescharacteristic
119C22×C22⋊C4C2312yes—
120C22×C22⋊C4C2311yescharacteristic
121C22×C22⋊C4C2312yes—
122C22×C22⋊C4C2312yes—
123C22×C22⋊C4C2312yes—
124C22×C22⋊C4C2312yes—
125C22×C22⋊C4C2312yes—
126C22×C22⋊C4C2312yes—
127C22×C22⋊C4C2312yes—
128C22×C22⋊C4C2312yes—
129C22×C22⋊C4C2314yes—
130C22×C22⋊C4C2312yes—
131C22×C22⋊C4C2312yes—
132C22×C22⋊C4C2314yes—
133C22×C22⋊C4C2314yes—
134C22×C22⋊C4C2314yes—
135C22×C22⋊C4C2314yes—
136C22×C42C2312yes—
137C22×C42C2311yescharacteristic
138C22×C42C2312yes—
139C22×C42C2314yes—
140C22×C42C2312yes—
141#397—48no—
142#394—28no—
143#392—28no—
144#390—24no—
145#390—28no—
146#390—48no—
147#390—44no—
148#390—44no—
149#389—28no—
150#389—28no—
151#389—24no—
152#388—28no—
153#386—44no—
154#386—48no—
155#385—216no—
156#384—28no—
157#382—28no—
158#382—48no—
159#380—24no—
160#380—24no—
161#380—44no—
162C4×C4⋊C4—28no—
163C4×C22⋊C4—24no—
164C4×C22⋊C4—44no—
165C2×#95C2312yes—
166C2×#95C2312yes—
167C2×#95C2312yes—
168C2×#95C2314yes—
169C2×#95C2311yescharacteristic
170C2×#95C2312yes—
171C2×#95C2312yes—
172C2×#95C2311yescharacteristic
173C2×#95C2314yes—
174C2×#95C2314yes—
175C2×#95C2314yes—
176C2×#95C2314yes—
177C2×#95C2314yes—
178C2×#95C2312yes—
179C2×#95C2314yes—
180C2×#95C2312yes—
181C2×#95C2314yes—
182C2×#95C2314yes—
183C2×#95C2314yes—
184C2×#95C2314yes—
185C2×#95C2314yes—
186C2×#95C2312yes—
187C2×#95C2312yes—
188C25C2412yes—
189C25C2411yescharacteristic
190C25C2411yescharacteristic
191C22×D4—22no—
192C22×D4—22no—
193C22×D4—22no—
194C22×D4—22no—
195C22×D4—24no—
196C22×D4—24no—
197C22×D4—24no—
198C22×D4—24no—
199C22×D4—22no—
200C22×D4—24no—
201C22×D4—24no—
202C22×D4—22no—
203C22×D4—22no—
204C22×D4—28no—
205C22×D4—22no—
206C22×D4—24no—
207C22×D4—41no—
208C22×D4—41no—
209C22×D4—42no—
210C22×D4—44no—
211C22×D4—44no—
212C22×D4—44no—
213C23×C4—24no—
214C23×C4—24no—
215C23×C4—24no—
216C23×C4—22no—
217C23×C4—22no—
218C23×C4—22no—
219C23×C4—24no—
220C23×C4—24no—
221C23×C4—44no—
222C23×C4—42no—
223C23×C4—44no—
224C23×C4—42no—
225C23×C4C2×D414yes—
226C23×C4#4114yes—
227C23×C4#4114yes—
228C23×C4C2412yes—
229C23×C4C2411yescharacteristic
230C23×C4C2412yes—
231C23×C4C2414yes—
232C23×C4C2412yes—
233C23×C4C2414yes—
234C23×C4C2411yescharacteristic
235C23×C4C2412yes—
236C23×C4C2412yes—
237C23×C4C2412yes—
238C23×C4C2411yescharacteristic
239C23×C4C2411yescharacteristic
240C23×C4C2412yes—
241C23×C4C2411yescharacteristic
242#121—416no—
243#121—416no—
244C4×D4—416no—
245#117—232no—
246#117—416no—
247C2×C4⋊C4—24no—
248C2×C4⋊C4—24no—
249C2×C4⋊C4—24no—
250C2×C4⋊C4—22no—
251C2×C4⋊C4—22no—
252C2×C4⋊C4—22no—
253C2×C4⋊C4—22no—
254C2×C4⋊C4—22no—
255C2×C4⋊C4—22no—
256C2×C4⋊C4—22no—
257C2×C4⋊C4—22no—
258C2×C4⋊C4—24no—
259C2×C4⋊C4—24no—
260C2×C4⋊C4—24no—
261C2×C4⋊C4—24no—
262C2×C4⋊C4—24no—
263C2×C4⋊C4—28no—
264C2×C4⋊C4—28no—
265C2×C4⋊C4—24no—
266C2×C4⋊C4—44no—
267C2×C4⋊C4—42no—
268C2×C4⋊C4—42no—
269C2×C4⋊C4—416no—
270C2×C4⋊C4—44no—
271C2×C4⋊C4—44no—
272C2×C4⋊C4—44no—
273C2×C4⋊C4—44no—
274C2×C4⋊C4—44no—
275C2×C4⋊C4C2×D414yes—
276C2×C4⋊C4C2×D414yes—
277C2×C4⋊C4#4118yes—
278C2×C22⋊C4—28no—
279C2×C22⋊C4—24no—
280C2×C22⋊C4—22no—
281C2×C22⋊C4—22no—
282C2×C22⋊C4—22no—
283C2×C22⋊C4—24no—
284C2×C22⋊C4—24no—
285C2×C22⋊C4—22no—
286C2×C22⋊C4—24no—
287C2×C22⋊C4—24no—
288C2×C22⋊C4—24no—
289C2×C22⋊C4—22no—
290C2×C22⋊C4—22no—
291C2×C22⋊C4—28no—
292C2×C22⋊C4—24no—
293C2×C22⋊C4—24no—
294C2×C22⋊C4—24no—
295C2×C22⋊C4—24no—
296C2×C22⋊C4—24no—
297C2×C22⋊C4—24no—
298C2×C22⋊C4—24no—
299C2×C22⋊C4—24no—
300C2×C22⋊C4—28no—
301C2×C22⋊C4—42no—
302C2×C22⋊C4—42no—
303C2×C22⋊C4—42no—
304C2×C22⋊C4—42no—
305C2×C22⋊C4—42no—
306C2×C22⋊C4—42no—
307C2×C22⋊C4—42no—
308C2×C22⋊C4—42no—
309C2×C22⋊C4—44no—
310C2×C22⋊C4—44no—
311C2×C22⋊C4—44no—
312C2×C22⋊C4—42no—
313C2×C22⋊C4—44no—
314C2×C22⋊C4—44no—
315C2×C22⋊C4—44no—
316C2×C22⋊C4—42no—
317C2×C22⋊C4—44no—
318C2×C22⋊C4—44no—
319C2×C22⋊C4—44no—
320C2×C22⋊C4—44no—
321C2×C22⋊C4—44no—
322C2×C22⋊C4—44no—
323C2×C22⋊C4—44no—
324C2×C22⋊C4—44no—
325C2×C22⋊C4—44no—
326C2×C22⋊C4—44no—
327C2×C22⋊C4C2×D418yes—
328C2×C42—28no—
329C2×C42—24no—
330C2×C42—22no—
331C2×C42—22no—
332C2×C42—22no—
333C2×C42—24no—
334C2×C42—28no—
335C2×C42—24no—
336C2×C42—24no—
337C2×C42—24no—
338C2×C42—24no—
339C2×C42—28no—
340C2×C42—44no—
341C2×C42C2×D418yes—
342#95—24no—
343#95—28no—
344#95—28no—
345#95—24no—
346#95—22no—
347#95—22no—
348#95—28no—
349#95—24no—
350#95—24no—
351#95—28no—
352#95—28no—
353#95—24no—
354#95—44no—
355#95—42no—
356#95—44no—
357#95—42no—
358#95—42no—
359#95—42no—
360#95—44no—
361#95—44no—
362#95—44no—
363#95—44no—
364#95—44no—
365C24—22no—
366C24—22no—
367C24—22no—
368C24—21no—
369C24—21no—
370C24—21no—
371C24—22no—
372C24—21no—
373C24—21no—
374C24—21no—
375C24—21no—
376C24—22no—
377C24—22no—
378C24—22no—
379C24—21no—
380C24—22no—
381C24—21no—
382C24—21no—
383C24—22no—
384C24—24no—
385C24—22no—
386C24—22no—
387C24—22no—
388C24—24no—
389C24—24no—
390C24—22no—
391C24—22no—
392C24—24no—
393C24—22no—
394C24C22×D412yes—
395C24C2×#4112yes—
396C24C2×#4112yes—
397C242−1+412yes—
398C24C2511yescharacteristic
399C2×D4—28no—
400C2×D4—44no—
401C2×D4—44no—
402C2×D4—48no—
403C2×D4—416no—
404C2×D4—44no—
405C2×D4—44no—
406C2×D4—44no—
407C2×D4—44no—
408C2×D4—416no—
409C2×D4—48no—
410C2×D4—48no—
411C2×D4—44no—
412C2×D4—44no—
413C2×D4—44no—
414C2×D4—48no—
415C2×D4—48no—
416C2×D4—84no—
417C2×D4—88no—
418C2×D4—88no—
419C2×D4—84no—
420C2×D4—84no—
421C22×C4—22no—
422C22×C4—24no—
423C22×C4—22no—
424C22×C4—22no—
425C22×C4—22no—
426C22×C4—28no—
427C22×C4—28no—
428C22×C4—216no—
429C22×C4—216no—
430C22×C4—21no—
431C22×C4—22no—
432C22×C4—22no—
433C22×C4—24no—
434C22×C4—21no—
435C22×C4—21no—
436C22×C4—22no—
437C22×C4—22no—
438C22×C4—21no—
439C22×C4—22no—
440C22×C4—21no—
441C22×C4—22no—
442C22×C4—24no—
443C22×C4—22no—
444C22×C4—21no—
445C22×C4—22no—
446C22×C4—22no—
447C22×C4—21no—
448C22×C4—22no—
449C22×C4—24no—
450C22×C4—21no—
451C22×C4—22no—
452C22×C4—22no—
453C22×C4—22no—
454C22×C4—24no—
455C22×C4—24no—
456C22×C4—21no—
457C22×C4—21no—
458C22×C4—22no—
459C22×C4—21no—
460C22×C4—21no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—24no—
467C22×C4—24no—
468C22×C4—24no—
469C22×C4—22no—
470C22×C4—24no—
471C22×C4—22no—
472C22×C4—24no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—24no—
478C22×C4—24no—
479C22×C4—24no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—24no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—24no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—24no—
492C22×C4—24no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—24no—
496C22×C4—48no—
497C22×C4—44no—
498C22×C4—44no—
499C22×C4—44no—
500C22×C4—48no—
501C22×C4—48no—
502C22×C4—84no—
503C22×C4—84no—
504C22×C4—88no—
505C22×C4—88no—
506C22×C4#124116yes—
507C22×C4C22×D414yes—
508C22×C4C22×D414yes—
509C22×C4C22×D412yes—
510C22×C4C22×D412yes—
511C22×C4C2×#4118yes—
512C22×C4C2×#4112yes—
513C22×C4C2×#4112yes—
514C22×C4C2×#4114yes—
515C22×C4C2×#4112yes—
516C22×C4C2×#4112yes—
517C22×C4H(5,𝔽2)12yes—
518C22×C4H(5,𝔽2)14yes—
519C22×C4H(5,𝔽2)14yes—
520C4⋊C4—28no—
521C4⋊C4—48no—
522C4⋊C4—44no—
523C4⋊C4—44no—
524C4⋊C4—44no—
525C4⋊C4—44no—
526C4⋊C4—48no—
527C4⋊C4—48no—
528C4⋊C4—88no—
529C4⋊C4—84no—
530C4⋊C4—88no—
531C4⋊C4#123116yes—
532C22⋊C4—216no—
533C22⋊C4—48no—
534C22⋊C4—48no—
535C22⋊C4—48no—
536C22⋊C4—48no—
537C22⋊C4—48no—
538C22⋊C4—44no—
539C22⋊C4—48no—
540C22⋊C4—44no—
541C22⋊C4—48no—
542C22⋊C4—84no—
543C22⋊C4—84no—
544C22⋊C4—88no—
545C22⋊C4—84no—
546C22⋊C4—88no—
547C22⋊C4—88no—
548C22⋊C4—88no—
549C22⋊C4—88no—
550C42—216no—
551C42—416no—
552C42—44no—
553C42—48no—
554C42—48no—
555C23—22no—
556C23—22no—
557C23—24no—
558C23—24no—
559C23—24no—
560C23—22no—
561C23—22no—
562C23—22no—
563C23—22no—
564C23—24no—
565C23—22no—
566C23—22no—
567C23—22no—
568C23—22no—
569C23—22no—
570C23—22no—
571C23—22no—
572C23—24no—
573C23—24no—
574C23—42no—
575C23—42no—
576C23—42no—
577C23—42no—
578C23—42no—
579C23—42no—
580C23—42no—
581C23—42no—
582C23—41no—
583C23—41no—
584C23—41no—
585C23—42no—
586C23—42no—
587C23—42no—
588C23—41no—
589C23—41no—
590C23—41no—
591C23—42no—
592C23—41no—
593C23—41no—
594C23—42no—
595C23—42no—
596C23—42no—
597C23—42no—
598C23—42no—
599C23—42no—
600C23—42no—
601C23—42no—
602C23—42no—
603C23—44no—
604C23—44no—
605C23—44no—
606C23—42no—
607C23—42no—
608C23—42no—
609C23—42no—
610C23—44no—
611C23—42no—
612C23—42no—
613C23—42no—
614C23—42no—
615C23—44no—
616C23—44no—
617C23—44no—
618C23—44no—
619C23—44no—
620C23—44no—
621C23—44no—
622C23—44no—
623C23C2×#12414yes—
624C23C23×D411yescharacteristic
625C23C22×#4112yes—
626C23C22×#4111yescharacteristic
627C23C22×#4111yescharacteristic
628C23C2×H(5,𝔽2)12yes—
629C23C2×H(5,𝔽2)12yes—
630C23C2×H(5,𝔽2)11yescharacteristic
631C23C2×2−1+411yescharacteristic
632C23#58512yes—
633C23#58511yescharacteristic
634C23#58511yescharacteristic
635D4—416no—
636D4—816no—
637D4—816no—
638D4—88no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—24no—
642C2×C4—24no—
643C2×C4—24no—
644C2×C4—24no—
645C2×C4—28no—
646C2×C4—28no—
647C2×C4—232no—
648C2×C4—24no—
649C2×C4—22no—
650C2×C4—24no—
651C2×C4—22no—
652C2×C4—24no—
653C2×C4—22no—
654C2×C4—24no—
655C2×C4—24no—
656C2×C4—24no—
657C2×C4—41no—
658C2×C4—42no—
659C2×C4—41no—
660C2×C4—42no—
661C2×C4—41no—
662C2×C4—41no—
663C2×C4—44no—
664C2×C4—42no—
665C2×C4—44no—
666C2×C4—42no—
667C2×C4—41no—
668C2×C4—41no—
669C2×C4—41no—
670C2×C4—42no—
671C2×C4—42no—
672C2×C4—42no—
673C2×C4—44no—
674C2×C4—41no—
675C2×C4—44no—
676C2×C4—42no—
677C2×C4—44no—
678C2×C4—42no—
679C2×C4—44no—
680C2×C4—42no—
681C2×C4—42no—
682C2×C4—42no—
683C2×C4—44no—
684C2×C4—42no—
685C2×C4—42no—
686C2×C4—42no—
687C2×C4—44no—
688C2×C4—42no—
689C2×C4—44no—
690C2×C4—41no—
691C2×C4—42no—
692C2×C4—44no—
693C2×C4—42no—
694C2×C4—41no—
695C2×C4—42no—
696C2×C4—42no—
697C2×C4—44no—
698C2×C4—44no—
699C2×C4—42no—
700C2×C4—42no—
701C2×C4—42no—
702C2×C4—42no—
703C2×C4—42no—
704C2×C4—42no—
705C2×C4—44no—
706C2×C4—42no—
707C2×C4—44no—
708C2×C4—44no—
709C2×C4—42no—
710C2×C4—42no—
711C2×C4—44no—
712C2×C4—44no—
713C2×C4—42no—
714C2×C4—42no—
715C2×C4—44no—
716C2×C4—42no—
717C2×C4—816no—
718C2×C4—88no—
719C2×C4C2×#12318yes—
720C2×C4C2×#12314yes—
721C2×C4C2×#12414yes—
722C2×C4C2×#12414yes—
723C2×C4#53514yes—
724C2×C4#55318yes—
725C2×C4#55318yes—
726C22—24no—
727C22—24no—
728C22—24no—
729C22—44no—
730C22—44no—
731C22—42no—
732C22—42no—
733C22—44no—
734C22—42no—
735C22—44no—
736C22—42no—
737C22—44no—
738C22—42no—
739C22—42no—
740C22—44no—
741C22—42no—
742C22—82no—
743C22—81no—
744C22—81no—
745C22—82no—
746C22—81no—
747C22—81no—
748C22—84no—
749C22—84no—
750C22—82no—
751C22—82no—
752C22—84no—
753C22—82no—
754C22—82no—
755C22—84no—
756C22—82no—
757C22—82no—
758C22—82no—
759C22C22×#12311yescharacteristic
760C22C22×#12411yescharacteristic
761C22C2×#53511yescharacteristic
762C22#346012yes—
763C22C2×#55312yes—
764C22C2×#55312yes—
765C22#348811yescharacteristic
766C22#348911yescharacteristic
767C22#349211yescharacteristic
768C22#349311yescharacteristic
769C22#349411yescharacteristic
770C22#349412yes—
771C22#349511yescharacteristic
772C22#349811yescharacteristic
773C22#350011yescharacteristic
774C22#351312yes—
775C22#351712yes—
776C22#352012yes—
777C22#352412yes—
778C22#354112yes—
779C22#354212yes—
780C22#354912yes—
781C22#355112yes—
782C4—28no—
783C4—24no—
784C4—44no—
785C4—42no—
786C4—44no—
787C4—84no—
788C4—82no—
789C4—82no—
790C4—81no—
791C4—82no—
792C4—82no—
793C4—84no—
794C4—81no—
795C4#250418yes—
796C2—44no—
797C2—82no—
798C2—162no—
799C2C2×#250411yescharacteristic
800C2#3526411yescharacteristic
801C2#3554211yescharacteristic
802C2#3598711yescharacteristic
803C2#3607611yescharacteristic
804C2#3821612yes—
805C2#3905712yes—
806C2#4291011yescharacteristic
807C2#4296311yescharacteristic
808C2#4497612yes—
809C2#4501112yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
prime radicalC2×#2414C2
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C24 ▷ C1

Complements

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

NH ≅ G/Ntype
2. C2×#2317C2semidirect
3. #17060C2semidirect
4. #16691C2semidirect
5. #15391C2semidirect
6. #15377C2semidirect
7. #15244C2semidirect
8. #15183C2semidirect
9. #15138C2semidirect
10. #15025C2semidirect
11. #14257C2semidirect
12. #14137C2semidirect
13. #13998C2semidirect
14. #13918C2semidirect
15. #13872C2semidirect
16. #13839C2semidirect
17. #13801C2semidirect

Maximal subgroups

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

subgroupindex
C2×#24142
C2×#23172
#170602
#166912
#153912
#153772
#152442
#151832
#151382
#150252
#142572
#141372
#139982
#139182
#138722
#138392
#138012