Finite Group Databasebeta

← #26389158

Subgroups — #26389158

Order 12032.

2522 conjugacy classes of subgroups.

The subgroup lattice has 680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689748C212yesmaximal
2#20251738C212yesmaximal, complemented
3#20251736C212yesmaximal, complemented
4#20249505C212yesmaximal, complemented
5#20249502C211yesmaximal, characteristic, complemented
6#20248395C214yesmaximal, complemented
7#20248393C214yesmaximal, complemented
8#20247085C214yesmaximal, complemented
9#20247083C214yesmaximal, complemented
10#20246001C212yesmaximal
11#380×D47C212yesmaximal
12C2×#15688970C211yesmaximal, characteristic
13C47×#2659C211yesmaximal, characteristic, complemented
14C23×C4×D47C2211yescharacteristic
15#15689748—216no—
16C2×#13094023C2212yescomplemented
17C2×#13094022C2212yescomplemented
18C2×#13094004C2214yes—
19C2×#13094003C2212yes—
20C2×#13094002C2214yes—
21C2×#13094002C2214yes—
22C2×#13094001C2214yes—
23C2×#13094000C2214yes—
24C2×C4⋊C4×D47C2212yes—
25C2×C4⋊C4×D47C2212yes—
26C22×(C2×D47)⋊C4C2211yescharacteristic
27C22×(C2×D47)⋊C4C2211yescharacteristic
28C2×C22⋊C4×D47C2214yes—
29C22×C4×Dic47C2211yescharacteristic
30C22×C4×Dic47C2211yescharacteristic
31#15689057C2214yescomplemented
32#15689056C2214yescomplemented
33#15689055C2214yescomplemented
34#15689044C2214yescomplemented
35#15689044C2214yescomplemented
36#15689043C2214yescomplemented
37#15689030C2212yescomplemented
38#15689028C2212yescomplemented
39#15689027C2214yescomplemented
40#15689022C2212yescomplemented
41#15689020C2214yescomplemented
42#15689019C2212yescomplemented
43#15689018C2214yescomplemented
44#15689018C2214yescomplemented
45#15688997C2214yes—
46#15688997C2214yes—
47#15688994C2214yes—
48#15688994C2214yes—
49#15688992C2212yescomplemented
50#15688992C2212yescomplemented
51#15688983C2212yes—
52#15688983C2212yes—
53#15688982C2214yes—
54#15688981C2214yes—
55#15688981C2214yes—
56#15688980C2212yes—
57#15688980C2212yes—
58#15688970C2214yes—
59#15688970C2214yes—
60C2×C47⋊#95C2211yescharacteristic
61#95×D47C2214yes—
62C2×C22⋊Q8×C47C2212yes—
63C47×#398C2214yescomplemented
64C47×#395C2214yescomplemented
65C47×#380C2212yes—
66C47×#380C2212yes—
67C2×#95×C47C2211yescharacteristic
68C24×D47C2311yescharacteristic
69C22×Dic94C2314yes—
70C22×Dic94C2312yes—
71C23×Dic47C2311yescharacteristic
72C23×Dic47C2311yescharacteristic
73C23×Dic47C2311yescharacteristic
74C22×C4×D47—42no—
75C22×C4×D47—42no—
76C22×C4×D47Q818yescomplemented
77C22×C4×D47C2312yes—
78C22×C4×D47C2314yes—
79C22×C4×D47C2314yes—
80C22×C4×D47C2312yes—
81#13094023—44no—
82#13094022—44no—
83#13094004—216no—
84#13094003—28no—
85#13094002—216no—
86#13094002—216no—
87#13094001—216no—
88#13094000—216no—
89C2×C4⋊Dic47C2312yes—
90C2×C4⋊Dic47C2314yes—
91C2×C4⋊Dic47C2312yes—
92C2×C4⋊Dic47C2312yes—
93C2×C4⋊Dic47C2312yes—
94C2×C4⋊Dic47C2312yes—
95C2×Dic47⋊C4C2314yes—
96C2×Dic47⋊C4C2314yes—
97C2×Dic47⋊C4C2314yes—
98C2×Dic47⋊C4C2314yes—
99C2×Dic47⋊C4C2314yes—
100C2×Dic47⋊C4C2314yes—
101C2×Dic47⋊C4C2314yes—
102C4⋊C4×D47—44no—
103C4⋊C4×D47—44no—
104C2×C22⋊Dic47C2314yes—
105C2×(C2×D47)⋊C4D418yes—
106C2×(C2×D47)⋊C4Q818yescomplemented
107C2×(C2×D47)⋊C4C2314yes—
108C2×(C2×D47)⋊C4C2314yes—
109C2×(C2×D47)⋊C4C2314yes—
110C2×(C2×D47)⋊C4C2314yes—
111C22⋊C4×D47—216no—
112C2×C4×Dic47—42no—
113C2×C4×Dic47—42no—
114C2×C4×Dic47C2312yes—
115C2×C4×Dic47C2312yes—
116C2×C4×Dic47C2312yes—
117C2×C4×Dic47C2312yes—
118C47⋊#95C2314yes—
119C47⋊#95C2314yes—
120C47⋊#95C2314yes—
121C47⋊#95C2314yes—
122C47⋊#95C2314yes—
123C47⋊#95C2314yes—
124C47⋊#95C2314yes—
125C22×Q8×C47C2312yes—
126C23×C4×C47C2311yescharacteristic
127C23×C4×C47C2311yescharacteristic
128C23×C4×C47C2311yescharacteristic
129C22⋊Q8×C47—28no—
130C2×C4⋊C4×C47C2312yes—
131C2×C4⋊C4×C47C2314yes—
132C2×C4⋊C4×C47C2312yes—
133C2×C4⋊C4×C47C2312yes—
134C2×C4⋊C4×C47C2312yes—
135C2×C4⋊C4×C47C2312yes—
136C2×C22⋊C4×C47C2314yes—
137#95×C47C2314yes—
138#95×C47C2314yes—
139#95×C47C2314yes—
140C24×C47C2411yescharacteristic
141C23×D47—41no—
142C23×D47—41no—
143C23×D47—41no—
144C23×D47—41no—
145C23×D47C2×D414yes—
146C23×D47C2×Q814yes—
147C23×D47C2×Q814yes—
148C23×D47C2412yes—
149C2×Q8×C47—24no—
150C2×Q8×C47—42no—
151C2×Q8×C47—42no—
152C22×C4×C47—41no—
153C22×C4×C47—41no—
154C22×C4×C47—41no—
155C22×C4×C47—41no—
156C22×C4×C47—41no—
157C22×C4×C47—41no—
158C22×C4×C47C2×D414yes—
159C22×C4×C47C2×Q814yes—
160C22×C4×C47C2×Q814yes—
161C22×C4×C47C2414yes—
162C22×C4×C47C2414yes—
163C22×C4×C47C2412yes—
164C22×C4×C47C2412yes—
165C22×C4×C47C2412yes—
166C22×Dic47—22no—
167C22×Dic47—22no—
168C22×Dic47—41no—
169C22×Dic47—41no—
170C22×Dic47—41no—
171C22×Dic47—41no—
172C22×Dic47C2×D414yes—
173C22×Dic47C2×Q814yes—
174C22×Dic47C2×Q814yes—
175C22×Dic47C2414yes—
176C22×Dic47C2414yes—
177C22×Dic47C2412yes—
178C22×Dic47C2411yescharacteristic
179C22×Dic47C2412yes—
180C22×Dic47C2411yescharacteristic
181C2×C4×D47—24no—
182C2×C4×D47—24no—
183C2×C4×D47—28no—
184C2×C4×D47—28no—
185C2×C4×D47—416no—
186C2×C4×D47—42no—
187C2×C4×D47—42no—
188C2×C4×D47—44no—
189C2×C4×D47—44no—
190C2×C4×D47—44no—
191C2×C4×D47—44no—
192C2×C4×D47C2×Q818yes—
193C2×C4×D47C2×Q818yes—
194C2×Dic94—24no—
195C2×Dic94—28no—
196C2×Dic94—42no—
197C2×Dic94—44no—
198C2×Dic94—44no—
199C2×Dic94—42no—
200C4⋊C4×C47—24no—
201C4⋊C4×C47—28no—
202C4⋊C4×C47—42no—
203C4⋊C4×C47—42no—
204C4⋊C4×C47—42no—
205C4⋊C4×C47—42no—
206C22⋊C4×C47—28no—
207C22⋊Dic47—28no—
208(C2×D47)⋊C4—28no—
209(C2×D47)⋊C4—28no—
210(C2×D47)⋊C4C2×D4116yes—
211(C2×D47)⋊C4C2×Q8116yes—
212C4⋊Dic47—24no—
213C4⋊Dic47—28no—
214C4⋊Dic47—42no—
215C4⋊Dic47—42no—
216C4⋊Dic47—42no—
217C4⋊Dic47—42no—
218Dic47⋊C4—28no—
219Dic47⋊C4—28no—
220Dic47⋊C4—28no—
221Dic47⋊C4—28no—
222Dic47⋊C4—28no—
223Dic47⋊C4—44no—
224Dic47⋊C4—44no—
225C4×Dic47—24no—
226C4×Dic47—24no—
227C4×Dic47—42no—
228C4×Dic47—42no—
229C23×C47—21no—
230C23×C47—21no—
231C23×C47—21no—
232C23×C47—21no—
233C23×C47C22×D412yes—
234C23×C47C22×Q812yes—
235C23×C47C22×Q812yes—
236C23×C47C2511yescharacteristic
237C22×D47—22no—
238C22×D47—22no—
239C22×D47—22no—
240C22×D47—22no—
241C22×D47—44no—
242C22×D47—44no—
243C22×D47—44no—
244C22×D47—44no—
245C22×D47—44no—
246C22×D47—44no—
247C22×D47C4⋊Q8116yescomplemented
248C22×D47C22×D414yes—
249C22×D47C22×Q814yes—
250C22×D47C22×Q814yes—
251Q8×C47—84no—
252C2×C4×C47—22no—
253C2×C4×C47—22no—
254C2×C4×C47—22no—
255C2×C4×C47—22no—
256C2×C4×C47—22no—
257C2×C4×C47—22no—
258C2×C4×C47—24no—
259C2×C4×C47—24no—
260C2×C4×C47—24no—
261C2×C4×C47—24no—
262C2×C4×C47—24no—
263C2×C4×C47—24no—
264C2×C4×C47—44no—
265C2×C4×C47—44no—
266C2×C4×C47—44no—
267C2×C4×C47C22×D414yes—
268C2×C4×C47C22×Q814yes—
269C2×C4×C47C22×Q814yes—
270C2×Dic47—22no—
271C2×Dic47—22no—
272C2×Dic47—21no—
273C2×Dic47—21no—
274C2×Dic47—22no—
275C2×Dic47—22no—
276C2×Dic47—28no—
277C2×Dic47—24no—
278C2×Dic47—24no—
279C2×Dic47—24no—
280C2×Dic47—24no—
281C2×Dic47—24no—
282C2×Dic47—24no—
283C2×Dic47—44no—
284C2×Dic47—44no—
285C2×Dic47C22×D414yes—
286C2×Dic47C22×Q814yes—
287C2×Dic47C22×Q812yes—
288C2×Dic47C22×Q812yes—
289C2×Dic47H(5,𝔽2)12yes—
290C2×Dic47H(5,𝔽2)12yes—
291C4×D47—216no—
292C4×D47—48no—
293C4×D47—88no—
294C4×D47—88no—
295Dic94—88no—
296Dic94—84no—
297#35002—471nomaximal, Sylow
298C22×C47—22no—
299C22×C47—22no—
300C22×C47—22no—
301C22×C47—22no—
302C22×C47—22no—
303C22×C47—22no—
304C22×C47C2×C4⋊Q814yes—
305C22×C47C23×D411yescharacteristic
306C22×C47C23×Q811yescharacteristic
307C22×C47C23×Q811yescharacteristic
308C22×C47C2×H(5,𝔽2)11yescharacteristic
309C22×C47C2×H(5,𝔽2)11yescharacteristic
310C22×C47#58511yescharacteristic
311C22×C47#58511yescharacteristic
312C2×D47—24no—
313C2×D47—24no—
314C2×D47—24no—
315C2×D47—24no—
316C2×D47—24no—
317C2×D47—24no—
318C2×D47—416no—
319C2×D47C2×C4⋊Q818yes—
320C4×C47—24no—
321C4×C47—24no—
322C4×C47—24no—
323C4×C47—44no—
324C4×C47—44no—
325Dic47—22no—
326Dic47—24no—
327Dic47—24no—
328Dic47—44no—
329Dic47—44no—
330Dic47#54314yescomplemented
331C2×#543—472no—
332#2857—472no—
333#2857—472no—
334#2659—472no—
335#2659—471no—
336#2659D4711yescharacteristic, complemented
337#2549—474no—
338#2549—474no—
339#2440—474no—
340#2440—474no—
341#2315—472no—
342C2×#380—472no—
343C2×C4×C22⋊C4—471no—
344C2×C47—24no—
345C2×C47C22×C4⋊Q811yescharacteristic
346C2×C47C2×#54311yescharacteristic
347C2×C47#345811yescharacteristic
348C2×C47#349611yescharacteristic
349C2×C47#349611yescharacteristic
350C2×C47#350111yescharacteristic
351C2×C47#350111yescharacteristic
352D47—28no—
353C24×C4—471no—
354#543—9416no—
355C2×C4⋊Q8—472no—
356C2×C4⋊Q8—472no—
357C2×C22⋊Q8—474no—
358C2×C22⋊Q8—472no—
359C2×C22⋊Q8—474no—
360C2×C22⋊Q8—474no—
361C2×C22⋊Q8—474no—
362C2×C22⋊Q8—474no—
363C2×C22⋊Q8C2×D4712yes—
364C22×C4⋊C4—472no—
365C22×C4⋊C4—472no—
366C22×C22⋊C4—471no—
367C22×C22⋊C4—471no—
368C22×C22⋊C4—474no—
369C22×C42—471no—
370C22×C42—471no—
371#398—474no—
372#398—474no—
373#398—474no—
374#398C2×D4714yescomplemented
375#395—474no—
376#395—474no—
377#395—474no—
378#395C2×D4714yescomplemented
379#391—472no—
380#391—472no—
381#391—474no—
382#389—474no—
383#389—474no—
384#389—472no—
385#389—472no—
386#389—474no—
387#385—474no—
388#385—474no—
389#385—474no—
390#385—474no—
391#384—472no—
392#384—472no—
393#380—472no—
394#380—472no—
395#380—472no—
396#380—472no—
397#380—474no—
398#380—474no—
399#380—474no—
400#380C2×D4712yes—
401#380C2×D4712yes—
402C4×C22⋊C4—474no—
403C4×C22⋊C4—474no—
404C2×#95—471no—
405C2×#95—474no—
406C2×#95C2×D4711yescharacteristic
407C47#3500211yescharacteristic, complemented, Sylow
408C25—471no—
409C22×Q8—474no—
410C22×Q8—472no—
411C22×Q8C22×D4712yes—
412C23×C4—471no—
413C23×C4—471no—
414C23×C4—471no—
415C23×C4—472no—
416C23×C4—478no—
417C23×C4—472no—
418C23×C4—474no—
419C23×C4—474no—
420C23×C4—1882no—
421C23×C4—1882no—
422C23×C4C22×D4711yescharacteristic
423C23×C4C22×D4711yescharacteristic
424C23×C4C22×D4711yescharacteristic
425C4⋊Q8—1884no—
426C4⋊Q8—1884no—
427C22⋊Q8—28no—
428C22⋊Q8—9416no—
429C22⋊Q8—9416no—
430C22⋊Q8—9416no—
431C22⋊Q8—9416no—
432C22⋊Q8—9416no—
433C22⋊Q8—948no—
434C2×C4⋊C4—474no—
435C2×C4⋊C4—474no—
436C2×C4⋊C4—474no—
437C2×C4⋊C4—474no—
438C2×C4⋊C4—474no—
439C2×C4⋊C4—472no—
440C2×C4⋊C4—474no—
441C2×C4⋊C4—472no—
442C2×C4⋊C4—472no—
443C2×C4⋊C4—474no—
444C2×C4⋊C4—472no—
445C2×C4⋊C4—474no—
446C2×C4⋊C4—472no—
447C2×C4⋊C4—1884no—
448C2×C4⋊C4—1884no—
449C2×C4⋊C4C22×D4712yes—
450C2×C4⋊C4C22×D4714yes—
451C2×C4⋊C4C22×D4712yes—
452C2×C4⋊C4C22×D4712yes—
453C2×C4⋊C4C22×D4712yes—
454C2×C4⋊C4C22×D4712yes—
455C2×C22⋊C4—478no—
456C2×C22⋊C4—478no—
457C2×C22⋊C4—474no—
458C2×C22⋊C4—474no—
459C2×C22⋊C4—474no—
460C2×C22⋊C4—474no—
461C2×C22⋊C4—474no—
462C2×C22⋊C4—9416no—
463C2×C22⋊C4C22×D4714yes—
464C2×C42—472no—
465C2×C42—472no—
466C2×C42—472no—
467C2×C42—472no—
468C2×C42—1882no—
469C2×C42—1882no—
470#95—474no—
471#95—474no—
472#95—474no—
473#95—474no—
474#95—474no—
475#95—474no—
476#95—474no—
477#95C22×D4714yes—
478#95C22×D4714yes—
479#95C22×D4714yes—
480C24—472no—
481C24—474no—
482C24—474no—
483C24—474no—
484C24—1881no—
485C24—1881no—
486C24—1881no—
487C24—1881no—
488C24C23×D4711yescharacteristic
489C2×Q8—24no—
490C2×Q8—42no—
491C2×Q8—42no—
492C2×Q8—948no—
493C2×Q8—944no—
494C2×Q8—1882no—
495C2×Q8—1884no—
496C2×Q8—1882no—
497C2×Q8—1884no—
498C22×C4—41no—
499C22×C4—41no—
500C22×C4—41no—
501C22×C4—41no—
502C22×C4—41no—
503C22×C4—41no—
504C22×C4—471no—
505C22×C4—474no—
506C22×C4—471no—
507C22×C4—472no—
508C22×C4—472no—
509C22×C4—474no—
510C22×C4—474no—
511C22×C4—478no—
512C22×C4—478no—
513C22×C4—474no—
514C22×C4—474no—
515C22×C4—944no—
516C22×C4—944no—
517C22×C4—948no—
518C22×C4—948no—
519C22×C4—942no—
520C22×C4—942no—
521C22×C4—1884no—
522C22×C4—1884no—
523C22×C4—1884no—
524C22×C4—1884no—
525C22×C4—1882no—
526C22×C4—1882no—
527C22×C4—18816no—
528C22×C4—1881no—
529C22×C4—1881no—
530C22×C4—1881no—
531C22×C4—1881no—
532C22×C4D4×D4714yes—
533C22×C4Q8×D4714yes—
534C22×C4Q8×D4714yes—
535C22×C4C23×D4714yes—
536C22×C4C23×D4714yes—
537C22×C4C23×D4712yes—
538C22×C4C23×D4712yes—
539C22×C4C23×D4712yes—
540C4⋊C4—24no—
541C4⋊C4—28no—
542C4⋊C4—42no—
543C4⋊C4—42no—
544C4⋊C4—42no—
545C4⋊C4—42no—
546C4⋊C4—948no—
547C4⋊C4—948no—
548C4⋊C4—948no—
549C4⋊C4—948no—
550C4⋊C4—948no—
551C4⋊C4—948no—
552C4⋊C4—944no—
553C4⋊C4—1884no—
554C4⋊C4—1884no—
555C4⋊C4—1882no—
556C4⋊C4—1882no—
557C4⋊C4—1882no—
558C4⋊C4—1882no—
559C22⋊C4—28no—
560C22⋊C4—4716no—
561C22⋊C4—4716no—
562C22⋊C4—948no—
563C22⋊C4—948no—
564C22⋊C4—948no—
565C42—944no—
566C42—944no—
567C42—1882no—
568C42—1882no—
569C23—21no—
570C23—21no—
571C23—21no—
572C23—21no—
573C23—474no—
574C23—474no—
575C23—474no—
576C23—4716no—
577C23—942no—
578C23—942no—
579C23—942no—
580C23—942no—
581C23—1884no—
582C23—1884no—
583C23—1884no—
584C23—1884no—
585C23—1884no—
586C23—1884no—
587C23C2×D4×D4712yes—
588C23C2×Q8×D4712yes—
589C23C2×Q8×D4712yes—
590C23C24×D4711yescharacteristic
591Q8—84no—
592Q8—3764no—
593Q8—3768no—
594C2×C4—22no—
595C2×C4—22no—
596C2×C4—22no—
597C2×C4—22no—
598C2×C4—22no—
599C2×C4—22no—
600C2×C4—24no—
601C2×C4—24no—
602C2×C4—24no—
603C2×C4—24no—
604C2×C4—24no—
605C2×C4—24no—
606C2×C4—44no—
607C2×C4—44no—
608C2×C4—44no—
609C2×C4—472no—
610C2×C4—472no—
611C2×C4—472no—
612C2×C4—474no—
613C2×C4—474no—
614C2×C4—472no—
615C2×C4—9416no—
616C2×C4—948no—
617C2×C4—942no—
618C2×C4—942no—
619C2×C4—941no—
620C2×C4—941no—
621C2×C4—942no—
622C2×C4—942no—
623C2×C4—944no—
624C2×C4—944no—
625C2×C4—944no—
626C2×C4—944no—
627C2×C4—944no—
628C2×C4—944no—
629C2×C4—3768no—
630C2×C4—3768no—
631C2×C4—1888no—
632C2×C4—1884no—
633C2×C4—1884no—
634C2×C4C2×D4×D4714yes—
635C2×C4C2×Q8×D4714yes—
636C2×C4C2×Q8×D4714yes—
637C22—22no—
638C22—22no—
639C22—22no—
640C22—22no—
641C22—22no—
642C22—22no—
643C22—478no—
644C22—944no—
645C22—944no—
646C22—944no—
647C22—944no—
648C22—944no—
649C22—944no—
650C22—18816no—
651C22C4⋊Q8×D4714yes—
652C22C22×D4×D4711yescharacteristic
653C22C22×Q8×D4711yescharacteristic
654C22C22×Q8×D4711yescharacteristic
655C22H(5,𝔽2)×D4711yescharacteristic
656C22H(5,𝔽2)×D4711yescharacteristic
657C22#1568995811yescharacteristic
658C22#1568996011yescharacteristic
659C4—24no—
660C4—24no—
661C4—24no—
662C4—44no—
663C4—44no—
664C4—474no—
665C4—942no—
666C4—944no—
667C4—944no—
668C4—1884no—
669C4—1884no—
670C2—24no—
671C2—948no—
672C2C2×C4⋊Q8×D4711yescharacteristic
673C2#543×D4711yescharacteristic
674C2#2025679211yescharacteristic
675C2#2025714911yescharacteristic
676C2#2025715111yescharacteristic
677C2#2025718811yescharacteristic
678C2#2025719011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2659C2
prime radicalC24×D47C23
hypercenter#2659D47
hypocenterC47#35002
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2659

Complements

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

NH ≅ G/Ntype
2. #20251738C2semidirect
3. #20251736C2semidirect
4. #20249505C2semidirect
5. #20249502C2semidirect
6. #20248395C2semidirect
7. #20248393C2semidirect
8. #20247085C2semidirect
9. #20247083C2semidirect
13. C47×#2659C2semidirect
16. C2×#13094023C22semidirect
17. C2×#13094022C22semidirect
31. #15689057C22semidirect
32. #15689056C22semidirect
33. #15689055C22semidirect
34. #15689044C22semidirect
35. #15689044C22semidirect
36. #15689043C22semidirect
37. #15689030C22semidirect
38. #15689028C22semidirect
39. #15689027C22semidirect
40. #15689022C22semidirect
41. #15689020C22semidirect
42. #15689019C22semidirect
43. #15689018C22semidirect
44. #15689018C22semidirect
49. #15688992C22semidirect
50. #15688992C22semidirect
63. C47×#398C22semidirect
64. C47×#395C22semidirect
76. C22×C4×D47Q8semidirect
106. C2×(C2×D47)⋊C4Q8semidirect
247. C22×D47C4⋊Q8semidirect
330. Dic47#543semidirect
336. #2659D47semidirect
374. #398C2×D47semidirect
378. #395C2×D47semidirect
407. C47#35002semidirect

Maximal subgroups

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

subgroupindex
C2×#156897482
#202517382
#202517362
#202495052
#202495022
#202483952
#202483932
#202470852
#202470832
#202460012
#380×D472
C2×#156889702
C47×#26592
#3500247