Finite Group Databasebeta

← #25269477

Subgroups — #25269477

Order 11008.

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×#14583524C212yesmaximal
2#19142945C212yesmaximal, complemented
3#19142943C212yesmaximal, complemented
4#19140712C212yesmaximal, complemented
5#19140709C211yesmaximal, characteristic, complemented
6#19139602C214yesmaximal, complemented
7#19139600C214yesmaximal, complemented
8#19138292C214yesmaximal, complemented
9#19138290C214yesmaximal, complemented
10#19137208C212yesmaximal
11#380×D43C212yesmaximal
12C2×#14582746C211yesmaximal, characteristic
13C43×#2659C211yesmaximal, characteristic, complemented
14C23×C4×D43C2211yescharacteristic
15#14583524—216no—
16C2×#13063324C2212yescomplemented
17C2×#13063323C2212yescomplemented
18C2×#13063305C2214yes—
19C2×#13063304C2212yes—
20C2×#13063303C2214yes—
21C2×#13063303C2214yes—
22C2×#13063302C2214yes—
23C2×#13063301C2214yes—
24C2×C4⋊C4×D43C2212yes—
25C2×C4⋊C4×D43C2212yes—
26C22×(C2×D43)⋊C4C2211yescharacteristic
27C22×(C2×D43)⋊C4C2211yescharacteristic
28C2×C22⋊C4×D43C2214yes—
29C22×C4×Dic43C2211yescharacteristic
30C22×C4×Dic43C2211yescharacteristic
31#14582833C2214yescomplemented
32#14582832C2214yescomplemented
33#14582831C2214yescomplemented
34#14582820C2214yescomplemented
35#14582820C2214yescomplemented
36#14582819C2214yescomplemented
37#14582806C2212yescomplemented
38#14582804C2212yescomplemented
39#14582803C2214yescomplemented
40#14582798C2212yescomplemented
41#14582796C2214yescomplemented
42#14582795C2212yescomplemented
43#14582794C2214yescomplemented
44#14582794C2214yescomplemented
45#14582773C2214yes—
46#14582773C2214yes—
47#14582770C2214yes—
48#14582770C2214yes—
49#14582768C2212yescomplemented
50#14582768C2212yescomplemented
51#14582759C2212yes—
52#14582759C2212yes—
53#14582758C2214yes—
54#14582757C2214yes—
55#14582757C2214yes—
56#14582756C2212yes—
57#14582756C2212yes—
58#14582746C2214yes—
59#14582746C2214yes—
60C2×C43⋊#95C2211yescharacteristic
61#95×D43C2214yes—
62C2×C22⋊Q8×C43C2212yes—
63C43×#398C2214yescomplemented
64C43×#395C2214yescomplemented
65C43×#380C2212yes—
66C43×#380C2212yes—
67C2×#95×C43C2211yescharacteristic
68C24×D43C2311yescharacteristic
69C22×Dic86C2314yes—
70C22×Dic86C2312yes—
71C23×Dic43C2311yescharacteristic
72C23×Dic43C2311yescharacteristic
73C23×Dic43C2311yescharacteristic
74C22×C4×D43—42no—
75C22×C4×D43—42no—
76C22×C4×D43Q818yescomplemented
77C22×C4×D43C2312yes—
78C22×C4×D43C2314yes—
79C22×C4×D43C2314yes—
80C22×C4×D43C2312yes—
81#13063324—44no—
82#13063323—44no—
83#13063305—216no—
84#13063304—28no—
85#13063303—216no—
86#13063303—216no—
87#13063302—216no—
88#13063301—216no—
89C2×C4⋊Dic43C2314yes—
90C2×C4⋊Dic43C2312yes—
91C2×C4⋊Dic43C2312yes—
92C2×C4⋊Dic43C2312yes—
93C2×C4⋊Dic43C2312yes—
94C2×C4⋊Dic43C2312yes—
95C2×Dic43⋊C4C2314yes—
96C2×Dic43⋊C4C2314yes—
97C2×Dic43⋊C4C2314yes—
98C2×Dic43⋊C4C2314yes—
99C2×Dic43⋊C4C2314yes—
100C2×Dic43⋊C4C2314yes—
101C2×Dic43⋊C4C2314yes—
102C4⋊C4×D43—44no—
103C4⋊C4×D43—44no—
104C2×C22⋊Dic43C2314yes—
105C2×(C2×D43)⋊C4D418yes—
106C2×(C2×D43)⋊C4Q818yescomplemented
107C2×(C2×D43)⋊C4C2314yes—
108C2×(C2×D43)⋊C4C2314yes—
109C2×(C2×D43)⋊C4C2314yes—
110C2×(C2×D43)⋊C4C2314yes—
111C22⋊C4×D43—216no—
112C2×C4×Dic43—42no—
113C2×C4×Dic43—42no—
114C2×C4×Dic43C2312yes—
115C2×C4×Dic43C2312yes—
116C2×C4×Dic43C2312yes—
117C2×C4×Dic43C2312yes—
118C43⋊#95C2314yes—
119C43⋊#95C2314yes—
120C43⋊#95C2314yes—
121C43⋊#95C2314yes—
122C43⋊#95C2314yes—
123C43⋊#95C2314yes—
124C43⋊#95C2314yes—
125C22×Q8×C43C2312yes—
126C23×C4×C43C2311yescharacteristic
127C23×C4×C43C2311yescharacteristic
128C23×C4×C43C2311yescharacteristic
129C22⋊Q8×C43—28no—
130C2×C4⋊C4×C43C2314yes—
131C2×C4⋊C4×C43C2312yes—
132C2×C4⋊C4×C43C2312yes—
133C2×C4⋊C4×C43C2312yes—
134C2×C4⋊C4×C43C2312yes—
135C2×C4⋊C4×C43C2312yes—
136C2×C22⋊C4×C43C2314yes—
137#95×C43C2314yes—
138#95×C43C2314yes—
139#95×C43C2314yes—
140C24×C43C2411yescharacteristic
141C23×D43—41no—
142C23×D43—41no—
143C23×D43—41no—
144C23×D43—41no—
145C23×D43C2×D414yes—
146C23×D43C2×Q814yes—
147C23×D43C2×Q814yes—
148C23×D43C2412yes—
149C2×Q8×C43—24no—
150C2×Q8×C43—42no—
151C2×Q8×C43—42no—
152C22×C4×C43—41no—
153C22×C4×C43—41no—
154C22×C4×C43—41no—
155C22×C4×C43—41no—
156C22×C4×C43—41no—
157C22×C4×C43—41no—
158C22×C4×C43C2×D414yes—
159C22×C4×C43C2×Q814yes—
160C22×C4×C43C2×Q814yes—
161C22×C4×C43C2414yes—
162C22×C4×C43C2414yes—
163C22×C4×C43C2412yes—
164C22×C4×C43C2412yes—
165C22×C4×C43C2412yes—
166C22×Dic43—22no—
167C22×Dic43—22no—
168C22×Dic43—41no—
169C22×Dic43—41no—
170C22×Dic43—41no—
171C22×Dic43—41no—
172C22×Dic43C2×D414yes—
173C22×Dic43C2×Q814yes—
174C22×Dic43C2×Q814yes—
175C22×Dic43C2414yes—
176C22×Dic43C2414yes—
177C22×Dic43C2412yes—
178C22×Dic43C2411yescharacteristic
179C22×Dic43C2412yes—
180C22×Dic43C2411yescharacteristic
181C2×C4×D43—24no—
182C2×C4×D43—24no—
183C2×C4×D43—28no—
184C2×C4×D43—28no—
185C2×C4×D43—42no—
186C2×C4×D43—42no—
187C2×C4×D43—44no—
188C2×C4×D43—44no—
189C2×C4×D43—44no—
190C2×C4×D43—44no—
191C2×C4×D43—416no—
192C2×C4×D43C2×Q818yes—
193C2×C4×D43C2×Q818yes—
194C2×Dic86—24no—
195C2×Dic86—28no—
196C2×Dic86—42no—
197C2×Dic86—44no—
198C2×Dic86—44no—
199C2×Dic86—42no—
200C4⋊C4×C43—24no—
201C4⋊C4×C43—28no—
202C4⋊C4×C43—42no—
203C4⋊C4×C43—42no—
204C4⋊C4×C43—42no—
205C4⋊C4×C43—42no—
206C22⋊C4×C43—28no—
207C22⋊Dic43—28no—
208(C2×D43)⋊C4—28no—
209(C2×D43)⋊C4—28no—
210(C2×D43)⋊C4C2×D4116yes—
211(C2×D43)⋊C4C2×Q8116yes—
212C4⋊Dic43—24no—
213C4⋊Dic43—28no—
214C4⋊Dic43—42no—
215C4⋊Dic43—42no—
216C4⋊Dic43—42no—
217C4⋊Dic43—42no—
218Dic43⋊C4—28no—
219Dic43⋊C4—28no—
220Dic43⋊C4—28no—
221Dic43⋊C4—28no—
222Dic43⋊C4—28no—
223Dic43⋊C4—44no—
224Dic43⋊C4—44no—
225C4×Dic43—24no—
226C4×Dic43—24no—
227C4×Dic43—42no—
228C4×Dic43—42no—
229C23×C43—21no—
230C23×C43—21no—
231C23×C43—21no—
232C23×C43—21no—
233C23×C43C22×D412yes—
234C23×C43C22×Q812yes—
235C23×C43C22×Q812yes—
236C23×C43C2511yescharacteristic
237C22×D43—22no—
238C22×D43—22no—
239C22×D43—22no—
240C22×D43—22no—
241C22×D43—44no—
242C22×D43—44no—
243C22×D43—44no—
244C22×D43—44no—
245C22×D43—44no—
246C22×D43—44no—
247C22×D43C4⋊Q8116yescomplemented
248C22×D43C22×D414yes—
249C22×D43C22×Q814yes—
250C22×D43C22×Q814yes—
251Q8×C43—84no—
252C2×C4×C43—22no—
253C2×C4×C43—22no—
254C2×C4×C43—22no—
255C2×C4×C43—22no—
256C2×C4×C43—22no—
257C2×C4×C43—22no—
258C2×C4×C43—24no—
259C2×C4×C43—24no—
260C2×C4×C43—24no—
261C2×C4×C43—24no—
262C2×C4×C43—24no—
263C2×C4×C43—24no—
264C2×C4×C43—44no—
265C2×C4×C43—44no—
266C2×C4×C43—44no—
267C2×C4×C43C22×D414yes—
268C2×C4×C43C22×Q814yes—
269C2×C4×C43C22×Q814yes—
270C2×Dic43—22no—
271C2×Dic43—22no—
272C2×Dic43—21no—
273C2×Dic43—21no—
274C2×Dic43—22no—
275C2×Dic43—22no—
276C2×Dic43—28no—
277C2×Dic43—24no—
278C2×Dic43—24no—
279C2×Dic43—24no—
280C2×Dic43—24no—
281C2×Dic43—24no—
282C2×Dic43—24no—
283C2×Dic43—44no—
284C2×Dic43—44no—
285C2×Dic43C22×D414yes—
286C2×Dic43C22×Q814yes—
287C2×Dic43C22×Q812yes—
288C2×Dic43C22×Q812yes—
289C2×Dic43H(5,𝔽2)12yes—
290C2×Dic43H(5,𝔽2)12yes—
291C4×D43—216no—
292C4×D43—48no—
293C4×D43—88no—
294C4×D43—88no—
295Dic86—88no—
296Dic86—84no—
297#35002—431nomaximal, Sylow
298C22×C43—22no—
299C22×C43—22no—
300C22×C43—22no—
301C22×C43—22no—
302C22×C43—22no—
303C22×C43—22no—
304C22×C43C2×C4⋊Q814yes—
305C22×C43C23×D411yescharacteristic
306C22×C43C23×Q811yescharacteristic
307C22×C43C23×Q811yescharacteristic
308C22×C43C2×H(5,𝔽2)11yescharacteristic
309C22×C43C2×H(5,𝔽2)11yescharacteristic
310C22×C43#58511yescharacteristic
311C22×C43#58511yescharacteristic
312C2×D43—24no—
313C2×D43—24no—
314C2×D43—24no—
315C2×D43—24no—
316C2×D43—24no—
317C2×D43—24no—
318C2×D43—416no—
319C2×D43C2×C4⋊Q818yes—
320C4×C43—24no—
321C4×C43—24no—
322C4×C43—24no—
323C4×C43—44no—
324C4×C43—44no—
325Dic43—22no—
326Dic43—24no—
327Dic43—24no—
328Dic43—44no—
329Dic43—44no—
330Dic43#54314yescomplemented
331C2×#543—432no—
332#2857—432no—
333#2857—432no—
334#2659—432no—
335#2659—431no—
336#2659D4311yescharacteristic, complemented
337#2549—434no—
338#2549—434no—
339#2440—434no—
340#2440—434no—
341#2315—432no—
342C2×#380—432no—
343C2×C4×C22⋊C4—431no—
344C2×C43—24no—
345C2×C43C22×C4⋊Q811yescharacteristic
346C2×C43C2×#54311yescharacteristic
347C2×C43#345811yescharacteristic
348C2×C43#349611yescharacteristic
349C2×C43#349611yescharacteristic
350C2×C43#350111yescharacteristic
351C2×C43#350111yescharacteristic
352D43—28no—
353C24×C4—431no—
354#543—8616no—
355C2×C4⋊Q8—432no—
356C2×C4⋊Q8—432no—
357C2×C22⋊Q8—434no—
358C2×C22⋊Q8—432no—
359C2×C22⋊Q8—434no—
360C2×C22⋊Q8—434no—
361C2×C22⋊Q8—434no—
362C2×C22⋊Q8—434no—
363C2×C22⋊Q8C2×D4312yes—
364C22×C4⋊C4—432no—
365C22×C4⋊C4—432no—
366C22×C22⋊C4—431no—
367C22×C22⋊C4—431no—
368C22×C22⋊C4—434no—
369C22×C42—431no—
370C22×C42—431no—
371#398—434no—
372#398—434no—
373#398—434no—
374#398C2×D4314yescomplemented
375#395—434no—
376#395—434no—
377#395—434no—
378#395C2×D4314yescomplemented
379#391—432no—
380#391—432no—
381#391—434no—
382#389—434no—
383#389—434no—
384#389—432no—
385#389—432no—
386#389—434no—
387#385—434no—
388#385—434no—
389#385—434no—
390#385—434no—
391#384—432no—
392#384—432no—
393#380—432no—
394#380—432no—
395#380—432no—
396#380—432no—
397#380—434no—
398#380—434no—
399#380—434no—
400#380C2×D4312yes—
401#380C2×D4312yes—
402C4×C22⋊C4—434no—
403C4×C22⋊C4—434no—
404C2×#95—431no—
405C2×#95—434no—
406C2×#95C2×D4311yescharacteristic
407C43#3500211yescharacteristic, complemented, Sylow
408C25—431no—
409C22×Q8—434no—
410C22×Q8—432no—
411C22×Q8C22×D4312yes—
412C23×C4—431no—
413C23×C4—431no—
414C23×C4—431no—
415C23×C4—432no—
416C23×C4—438no—
417C23×C4—432no—
418C23×C4—434no—
419C23×C4—434no—
420C23×C4—1722no—
421C23×C4—1722no—
422C23×C4C22×D4311yescharacteristic
423C23×C4C22×D4311yescharacteristic
424C23×C4C22×D4311yescharacteristic
425C4⋊Q8—1724no—
426C4⋊Q8—1724no—
427C22⋊Q8—28no—
428C22⋊Q8—8616no—
429C22⋊Q8—8616no—
430C22⋊Q8—8616no—
431C22⋊Q8—8616no—
432C22⋊Q8—8616no—
433C22⋊Q8—868no—
434C2×C4⋊C4—434no—
435C2×C4⋊C4—434no—
436C2×C4⋊C4—434no—
437C2×C4⋊C4—434no—
438C2×C4⋊C4—434no—
439C2×C4⋊C4—432no—
440C2×C4⋊C4—434no—
441C2×C4⋊C4—432no—
442C2×C4⋊C4—432no—
443C2×C4⋊C4—434no—
444C2×C4⋊C4—432no—
445C2×C4⋊C4—434no—
446C2×C4⋊C4—432no—
447C2×C4⋊C4—1724no—
448C2×C4⋊C4—1724no—
449C2×C4⋊C4C22×D4312yes—
450C2×C4⋊C4C22×D4314yes—
451C2×C4⋊C4C22×D4312yes—
452C2×C4⋊C4C22×D4312yes—
453C2×C4⋊C4C22×D4312yes—
454C2×C4⋊C4C22×D4312yes—
455C2×C22⋊C4—438no—
456C2×C22⋊C4—438no—
457C2×C22⋊C4—434no—
458C2×C22⋊C4—434no—
459C2×C22⋊C4—434no—
460C2×C22⋊C4—434no—
461C2×C22⋊C4—434no—
462C2×C22⋊C4—8616no—
463C2×C22⋊C4C22×D4314yes—
464C2×C42—432no—
465C2×C42—432no—
466C2×C42—432no—
467C2×C42—432no—
468C2×C42—1722no—
469C2×C42—1722no—
470#95—434no—
471#95—434no—
472#95—434no—
473#95—434no—
474#95—434no—
475#95—434no—
476#95—434no—
477#95C22×D4314yes—
478#95C22×D4314yes—
479#95C22×D4314yes—
480C24—432no—
481C24—434no—
482C24—434no—
483C24—434no—
484C24—1721no—
485C24—1721no—
486C24—1721no—
487C24—1721no—
488C24C23×D4311yescharacteristic
489C2×Q8—24no—
490C2×Q8—42no—
491C2×Q8—42no—
492C2×Q8—868no—
493C2×Q8—864no—
494C2×Q8—1722no—
495C2×Q8—1724no—
496C2×Q8—1722no—
497C2×Q8—1724no—
498C22×C4—41no—
499C22×C4—41no—
500C22×C4—41no—
501C22×C4—41no—
502C22×C4—41no—
503C22×C4—41no—
504C22×C4—431no—
505C22×C4—434no—
506C22×C4—431no—
507C22×C4—432no—
508C22×C4—432no—
509C22×C4—434no—
510C22×C4—434no—
511C22×C4—438no—
512C22×C4—438no—
513C22×C4—434no—
514C22×C4—434no—
515C22×C4—864no—
516C22×C4—864no—
517C22×C4—868no—
518C22×C4—868no—
519C22×C4—862no—
520C22×C4—862no—
521C22×C4—1724no—
522C22×C4—1724no—
523C22×C4—1724no—
524C22×C4—1724no—
525C22×C4—1722no—
526C22×C4—1722no—
527C22×C4—17216no—
528C22×C4—1721no—
529C22×C4—1721no—
530C22×C4—1721no—
531C22×C4—1721no—
532C22×C4D4×D4314yes—
533C22×C4Q8×D4314yes—
534C22×C4Q8×D4314yes—
535C22×C4C23×D4314yes—
536C22×C4C23×D4314yes—
537C22×C4C23×D4312yes—
538C22×C4C23×D4312yes—
539C22×C4C23×D4312yes—
540C4⋊C4—24no—
541C4⋊C4—28no—
542C4⋊C4—42no—
543C4⋊C4—42no—
544C4⋊C4—42no—
545C4⋊C4—42no—
546C4⋊C4—868no—
547C4⋊C4—868no—
548C4⋊C4—868no—
549C4⋊C4—868no—
550C4⋊C4—868no—
551C4⋊C4—868no—
552C4⋊C4—864no—
553C4⋊C4—1722no—
554C4⋊C4—1722no—
555C4⋊C4—1724no—
556C4⋊C4—1722no—
557C4⋊C4—1724no—
558C4⋊C4—1722no—
559C22⋊C4—28no—
560C22⋊C4—4316no—
561C22⋊C4—4316no—
562C22⋊C4—868no—
563C22⋊C4—868no—
564C22⋊C4—868no—
565C42—864no—
566C42—864no—
567C42—1722no—
568C42—1722no—
569C23—21no—
570C23—21no—
571C23—21no—
572C23—21no—
573C23—434no—
574C23—434no—
575C23—434no—
576C23—4316no—
577C23—862no—
578C23—862no—
579C23—862no—
580C23—862no—
581C23—1724no—
582C23—1724no—
583C23—1724no—
584C23—1724no—
585C23—1724no—
586C23—1724no—
587C23C2×D4×D4312yes—
588C23C2×Q8×D4312yes—
589C23C2×Q8×D4312yes—
590C23C24×D4311yescharacteristic
591Q8—84no—
592Q8—3444no—
593Q8—3448no—
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—432no—
610C2×C4—432no—
611C2×C4—432no—
612C2×C4—434no—
613C2×C4—434no—
614C2×C4—432no—
615C2×C4—8616no—
616C2×C4—868no—
617C2×C4—862no—
618C2×C4—862no—
619C2×C4—861no—
620C2×C4—861no—
621C2×C4—862no—
622C2×C4—862no—
623C2×C4—864no—
624C2×C4—864no—
625C2×C4—864no—
626C2×C4—864no—
627C2×C4—864no—
628C2×C4—864no—
629C2×C4—3448no—
630C2×C4—3448no—
631C2×C4—1728no—
632C2×C4—1724no—
633C2×C4—1724no—
634C2×C4C2×D4×D4314yes—
635C2×C4C2×Q8×D4314yes—
636C2×C4C2×Q8×D4314yes—
637C22—22no—
638C22—22no—
639C22—22no—
640C22—22no—
641C22—22no—
642C22—22no—
643C22—438no—
644C22—864no—
645C22—864no—
646C22—864no—
647C22—864no—
648C22—864no—
649C22—864no—
650C22—17216no—
651C22C4⋊Q8×D4314yes—
652C22C22×D4×D4311yescharacteristic
653C22C22×Q8×D4311yescharacteristic
654C22C22×Q8×D4311yescharacteristic
655C22H(5,𝔽2)×D4311yescharacteristic
656C22H(5,𝔽2)×D4311yescharacteristic
657C22#1458373411yescharacteristic
658C22#1458373611yescharacteristic
659C4—24no—
660C4—24no—
661C4—24no—
662C4—44no—
663C4—44no—
664C4—434no—
665C4—864no—
666C4—864no—
667C4—862no—
668C4—1724no—
669C4—1724no—
670C2—24no—
671C2—868no—
672C2C2×C4⋊Q8×D4311yescharacteristic
673C2#543×D4311yescharacteristic
674C2#1914799911yescharacteristic
675C2#1914835611yescharacteristic
676C2#1914835811yescharacteristic
677C2#1914839511yescharacteristic
678C2#1914839711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC43×#2659C2
prime radicalC24×D43C23
hypercenter#2659D43
hypocenterC43#35002
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2659

Complements

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

NH ≅ G/Ntype
2. #19142945C2semidirect
3. #19142943C2semidirect
4. #19140712C2semidirect
5. #19140709C2semidirect
6. #19139602C2semidirect
7. #19139600C2semidirect
8. #19138292C2semidirect
9. #19138290C2semidirect
13. C43×#2659C2semidirect
16. C2×#13063324C22semidirect
17. C2×#13063323C22semidirect
31. #14582833C22semidirect
32. #14582832C22semidirect
33. #14582831C22semidirect
34. #14582820C22semidirect
35. #14582820C22semidirect
36. #14582819C22semidirect
37. #14582806C22semidirect
38. #14582804C22semidirect
39. #14582803C22semidirect
40. #14582798C22semidirect
41. #14582796C22semidirect
42. #14582795C22semidirect
43. #14582794C22semidirect
44. #14582794C22semidirect
49. #14582768C22semidirect
50. #14582768C22semidirect
63. C43×#398C22semidirect
64. C43×#395C22semidirect
76. C22×C4×D43Q8semidirect
106. C2×(C2×D43)⋊C4Q8semidirect
247. C22×D43C4⋊Q8semidirect
330. Dic43#543semidirect
336. #2659D43semidirect
374. #398C2×D43semidirect
378. #395C2×D43semidirect
407. C43#35002semidirect

Maximal subgroups

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

subgroupindex
C2×#145835242
#191429452
#191429432
#191407122
#191407092
#191396022
#191396002
#191382922
#191382902
#191372082
#380×D432
C2×#145827462
C43×#26592
#3500243