Finite Group Databasebeta

← #25098993

Subgroups — #25098993

Order 11008.

1154 conjugacy classes of subgroups.

The subgroup lattice has 712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14582936C211yesmaximal, characteristic, complemented
2C2×#14582894C211yesmaximal, characteristic
3C2×#14582894C211yesmaximal, characteristic
4#19137084C211yesmaximal, characteristic
5C4×#13063283C211yesmaximal, characteristic, complemented
6#19135238C211yesmaximal, characteristic, complemented
7#19135232C211yesmaximal, characteristic, complemented
8#19135226C211yesmaximal, characteristic, complemented
9#19135222C211yesmaximal, characteristic, complemented
10#19135220C211yesmaximal, characteristic, complemented
11#19135216C211yesmaximal, characteristic, complemented
12#19135214C211yesmaximal, characteristic, complemented
13#19134310C211yesmaximal, characteristic, complemented
14#336×D43C211yesmaximal, characteristic, complemented
15C43×#1928C211yesmaximal, characteristic, complemented
16C22×#10621902C2211yescharacteristic
17C22×C8×D43C2211yescharacteristic
18C22×C8×D43C2211yescharacteristic
19C2×#13063283C2211yescharacteristic
20C2×#13063283C2211yescharacteristic
21C2×#13063283C2211yescharacteristic
22C2×C42×D43C2211yescharacteristic
23#14582936—24no—
24C2×#13063259C2211yescharacteristic
25C2×#13063256C2211yescharacteristic
26C2×#13063256C2211yescharacteristic
27#14582894—24no—
28#14582894C418yescomplemented
29C2×#13063249C2211yescharacteristic
30C2×#13063249C2211yescharacteristic
31C2×#13063247C2211yescharacteristic
32C2×#13063247C2211yescharacteristic
33C2×#13063245C2211yescharacteristic
34C2×#13063245C2211yescharacteristic
35#14582806C2211yescharacteristic
36#14582801C2211yescharacteristic
37#14582800C2211yescharacteristic
38#14582777—21no—
39#14582777—21no—
40C4⋊C4×Dic43C2211yescharacteristic
41C4⋊C4×Dic43C2211yescharacteristic
42C4×C4⋊Dic43C2211yescharacteristic
43C4×(C2×D43)⋊C4—21no—
44#14582746—21no—
45#14582746—21no—
46#14582746—21no—
47#14582744—21no—
48C42×Dic43—21no—
49#14582662C2211yescharacteristic
50#14582661C2211yescharacteristic
51#14582661C2211yescharacteristic
52#14582654C2211yescharacteristic
53#14582653C2211yescharacteristic
54#14582653C2211yescharacteristic
55C2×#107×C43C2211yescharacteristic
56C2×#103×C43C2211yescharacteristic
57C2×#103×C43C2211yescharacteristic
58C43×#391C2211yescharacteristic
59C4×C4⋊C4×C43C2211yescharacteristic
60C43×#340C2211yescharacteristic
61C43×#336C2211yescharacteristic
62C2×#10621902—22no—
63C2×#10621902—22no—
64C2×#10621902—22no—
65C2×#10621902—22no—
66C2×#10621902—22no—
67C2×#10621902C2×C414yes—
68C22×D172—21no—
69C22×D172C2311yescharacteristic
70C22×C4×D43—21no—
71C22×C4×D43D411yescharacteristic
72C22×C4×D43D411yescharacteristic
73C22×C4×D43C2311yescharacteristic
74C22×C43⋊C8C2311yescharacteristic
75C22×C43⋊C8C2311yescharacteristic
76C2×C8×D43—22no—
77C2×C8×D43—22no—
78C2×C8×D43—22no—
79C2×C8×D43—22no—
80C2×C8×D43—22no—
81C2×C8×D43C2×C414yes—
82#13063283—22no—
83#13063283—22no—
84#13063283—22no—
85#13063283—22no—
86#13063283C2×C414yes—
87#13063283D414yes—
88C2×C4⋊Dic43C2311yescharacteristic
89C2×C4⋊Dic43C2311yescharacteristic
90C2×C4⋊Dic43C2311yescharacteristic
91C2×(C2×D43)⋊C4—21no—
92C2×(C2×D43)⋊C4—21no—
93C2×(C2×D43)⋊C4—21no—
94C2×(C2×D43)⋊C4—21no—
95C2×(C2×D43)⋊C4—21no—
96C2×(C2×D43)⋊C4—21no—
97C2×(C2×D43)⋊C4—21no—
98C2×C4×Dic43—21no—
99C2×C4×Dic43—21no—
100C2×C4×Dic43—21no—
101C2×C4×Dic43—21no—
102C2×C4×Dic43—21no—
103C2×C4×Dic43—21no—
104C2×C4×Dic43D411yescharacteristic
105C2×C4×Dic43D411yescharacteristic
106C2×C4×Dic43C2311yescharacteristic
107C42×D43—22no—
108C42×D43—22no—
109#13063259—22no—
110#13063256—22no—
111#13063256—22no—
112#13063249—22no—
113#13063249C2×C414yescomplemented
114#13063247—22no—
115#13063247C2×C414yescomplemented
116#13063245—22no—
117#13063245C2×C414yescomplemented
118C43⋊#95—21no—
119C43⋊#95—21no—
120C43⋊#95—21no—
121C43⋊#95—21no—
122C43⋊#95—21no—
123C22×Q8×C43C2311yescharacteristic
124C22×C8×C43C2311yescharacteristic
125C22×C8×C43C2311yescharacteristic
126C2×C4⋊C4×C43C2311yescharacteristic
127C2×C4⋊C4×C43C2311yescharacteristic
128C2×C4⋊C4×C43C2311yescharacteristic
129C2×C42×C43—21no—
130C2×C42×C43C2311yescharacteristic
131#107×C43—22no—
132#103×C43—22no—
133#103×C43C2×C414yescomplemented
134#95×C43—21no—
135#95×C43—21no—
136#95×C43—21no—
137C23×D43—21no—
138C23×D43C2×D411yescharacteristic
139C2×Q8×C43—21no—
140C2×Q8×C43—21no—
141C2×Q8×C43—21no—
142C2×Q8×C43—21no—
143C2×Q8×C43—21no—
144C2×Q8×C43C22×C412yes—
145C22×C4×C43—21no—
146C22×C4×C43—21no—
147C22×C4×C43—21no—
148C22×C4×C43—21no—
149C22×C4×C43C2×D411yescharacteristic
150C22×C4×C43C2×D411yescharacteristic
151C22×C4×C43C2411yescharacteristic
152C22×Dic43—21no—
153C22×Dic43—21no—
154C22×Dic43—21no—
155C22×Dic43C2×D411yescharacteristic
156C22×Dic43C2×D411yescharacteristic
157C22×Dic43C2×D411yescharacteristic
158#10621902—28no—
159#10621902—28no—
160#10621902—44no—
161#10621902—44no—
162C2×D172—21no—
163C2×D172—24no—
164C2×D172—21no—
165C2×D172—21no—
166C2×D172—21no—
167C2×D172—21no—
168C2×D172—42no—
169C2×D172—42no—
170C2×D172C22×C412yes—
171C2×C4×D43—22no—
172C2×C4×D43—24no—
173C2×C4×D43—22no—
174C2×C4×D43—22no—
175C2×C4×D43—22no—
176C2×C4×D43—41no—
177C2×C4×D43—41no—
178C2×C4×D43—42no—
179C2×C4×D43—42no—
180C2×C4×D43C22×C412yes—
181C2×C4×D43C2×D412yes—
182C2×C4×D43#4112yes—
183C2×C4×D43#4112yes—
184C2×C4×D43#4112yes—
185C2×C4×D43#4112yes—
186C2×C8×C43—21no—
187C2×C8×C43—21no—
188C2×C8×C43—21no—
189C2×C8×C43—21no—
190C2×C8×C43—21no—
191C2×C8×C43C22×C412yes—
192C4⋊C4×C43—21no—
193C4⋊C4×C43—21no—
194C4⋊C4×C43—21no—
195C4⋊C4×C43—21no—
196C4⋊C4×C43C22×C412yes—
197C4⋊C4×C43C2×D412yes—
198C42×C43—21no—
199C42×C43—21no—
200C42×C43—42no—
201(C2×D43)⋊C4—24no—
202(C2×D43)⋊C4—24no—
203(C2×D43)⋊C4—42no—
204(C2×D43)⋊C4—42no—
205(C2×D43)⋊C4—42no—
206(C2×D43)⋊C4—42no—
207(C2×D43)⋊C4—42no—
208C4⋊Dic43—21no—
209C4⋊Dic43—21no—
210C4⋊Dic43—21no—
211C4⋊Dic43—21no—
212C4⋊Dic43C22×C412yes—
213C4⋊Dic43C2×D412yes—
214C4×Dic43—21no—
215C4×Dic43—21no—
216C4×Dic43—24no—
217C4×Dic43—24no—
218C4×Dic43—22no—
219C4×Dic43—22no—
220C4×Dic43—42no—
221C4×Dic43—42no—
222C4×Dic43—42no—
223C4×Dic43—42no—
224C2×C43⋊C8—21no—
225C2×C43⋊C8—21no—
226C2×C43⋊C8—21no—
227C2×C43⋊C8—21no—
228C2×C43⋊C8—21no—
229C2×C43⋊C8C22×C412yes—
230C8×D43—28no—
231C8×D43—44no—
232C23×C43C22×D411yescharacteristic
233C22×D43—21no—
234C22×D43—21no—
235C22×D43—21no—
236C22×D43—21no—
237C22×D43—22no—
238C22×D43—41no—
239C22×D43—41no—
240C22×D43—41no—
241C22×D43—41no—
242C22×D43—41no—
243C22×D43—41no—
244C22×D43C4×D412yes—
245C22×D43#12112yes—
246C22×D43#12312yes—
247Q8×C43—22no—
248Q8×C43—22no—
249Q8×C43—41no—
250Q8×C43—41no—
251C2×C4×C43—21no—
252C2×C4×C43—21no—
253C2×C4×C43—22no—
254C2×C4×C43—22no—
255C2×C4×C43—22no—
256C2×C4×C43—21no—
257C2×C4×C43—21no—
258C2×C4×C43—21no—
259C2×C4×C43—41no—
260C2×C4×C43—41no—
261C2×C4×C43—41no—
262C2×C4×C43—41no—
263C2×C4×C43—41no—
264C2×C4×C43—41no—
265C2×C4×C43—41no—
266C2×C4×C43—41no—
267C2×C4×C43—41no—
268C2×C4×C43#13512yes—
269C2×C4×C43C23×C411yescharacteristic
270C2×C4×C43C22×D411yescharacteristic
271C2×C4×C43C2×#4111yescharacteristic
272C2×C4×C43C2×#4111yescharacteristic
273C2×C4×C43C2×#4111yescharacteristic
274C2×C4×C43C2×#4111yescharacteristic
275C2×Dic43—21no—
276C2×Dic43—21no—
277C2×Dic43—22no—
278C2×Dic43—22no—
279C2×Dic43—21no—
280C2×Dic43—21no—
281C2×Dic43—21no—
282C2×Dic43—41no—
283C2×Dic43—41no—
284C2×Dic43—41no—
285C2×Dic43—41no—
286C2×Dic43—41no—
287C2×Dic43—41no—
288C2×Dic43—41no—
289C2×Dic43C4×D412yes—
290C2×Dic43#12112yes—
291C2×Dic43#12312yes—
292C2×Dic43#13512yes—
293D172—22no—
294D172—22no—
295D172—48no—
296D172—41no—
297D172—41no—
298C4×D43—44no—
299C4×D43—44no—
300C4×D43—48no—
301C4×D43#11714yes—
302C4×D43C4×D414yes—
303C4×D43#12414yes—
304C4×D43#12614yes—
305C8×C43—22no—
306C8×C43—41no—
307C43⋊C8—22no—
308C43⋊C8—41no—
309#21058—431nomaximal, Sylow
310C22×C43C2×C4×D411yescharacteristic
311C22×C43C2×#12111yescharacteristic
312C22×C43C2×#12311yescharacteristic
313C22×C43C2×#13511yescharacteristic
314C22×C43C2×#13511yescharacteristic
315C22×C43#57511yescharacteristic
316C22×C43#57511yescharacteristic
317C2×D43—22no—
318C2×D43—22no—
319C2×D43—22no—
320C2×D43—22no—
321C2×D43—22no—
322C2×D43—22no—
323C2×D43—42no—
324C2×D43—42no—
325C2×D43—42no—
326C2×D43—81no—
327C2×D43—81no—
328C2×D43—81no—
329C2×D43—81no—
330C2×D43#38814yes—
331C4×C43—22no—
332C4×C43—41no—
333C4×C43—42no—
334C4×C43—42no—
335C4×C43—42no—
336C4×C43—81no—
337C4×C43C2×#11711yescharacteristic
338C4×C43C2×C4×D411yescharacteristic
339C4×C43C2×#12411yescharacteristic
340C4×C43C2×#12611yescharacteristic
341Dic43—22no—
342Dic43—41no—
343Dic43—42no—
344Dic43—42no—
345Dic43—81no—
346Dic43#38814yes—
347C2×#427—431no—
348C2×#416—431no—
349C2×#416—431no—
350#2297—431no—
351C4×#117—431no—
352#1928—431no—
353#1928D4311yescharacteristic, complemented
354#1927—431no—
355#1927—431no—
356#1926—431no—
357#1926—431no—
358#1925—431no—
359#1925—431no—
360#1735—431no—
361C2×#336—431no—
362C2×C43C2×#38811yescharacteristic
363C2×C43C4×#13511yescharacteristic
364C2×C43#294311yescharacteristic
365C2×C43#303511yescharacteristic
366C2×C43#303511yescharacteristic
367C2×C43#309111yescharacteristic
368C2×C43#309111yescharacteristic
369D43—24no—
370D43—82no—
371C22×#41—431no—
372C23×C8—431no—
373C23×C8—431no—
374C2×#117—431no—
375C2×#117—431no—
376C2×#117—431no—
377C22×C42—431no—
378#427—864no—
379C2×#107—431no—
380C2×#107C2×D4311yescharacteristic
381C2×#106—431no—
382C2×#106—431no—
383#416—438no—
384#416—864no—
385C2×#103—431no—
386C2×#103—431no—
387C2×#103C2×D4311yescharacteristic
388C2×#103C2×D4311yescharacteristic
389C2×#102—431no—
390C2×#102—431no—
391C2×#102—431no—
392C2×#102—431no—
393#391—431no—
394#391C2×D4311yescharacteristic
395#390—431no—
396#390—431no—
397#386—861no—
398#386—861no—
399C4×C4⋊C4—431no—
400C4×C4⋊C4—431no—
401C4×C4⋊C4—431no—
402C4×C4⋊C4C2×D4311yescharacteristic
403C4×C22⋊C4—861no—
404C4×C22⋊C4—861no—
405C4×C22⋊C4—861no—
406C4×C22⋊C4—861no—
407#376—861no—
408C43—861no—
409#340—431no—
410#340—431no—
411#340—431no—
412#340C2×D4311yescharacteristic
413#336—431no—
414#336—431no—
415#336—431no—
416#336C2×D4311yescharacteristic
417C43#2105811yescharacteristic, complemented, Sylow
418C2×#41—434no—
419C2×#41—862no—
420C2×#41—862no—
421C2×#41—862no—
422C2×#41—862no—
423C2×#41—862no—
424C22×Q8C22×D4311yescharacteristic
425C22×D4—431no—
426C22×D4—861no—
427C23×C4—431no—
428C23×C4—431no—
429C23×C4—431no—
430C23×C4—861no—
431C22×C8—431no—
432C22×C8—434no—
433C22×C8—431no—
434C22×C8—862no—
435C22×C8—862no—
436C22×C8—862no—
437C22×C8—862no—
438C22×C8—862no—
439C22×C8C22×D4311yescharacteristic
440C22×C8C22×D4311yescharacteristic
441#117—434no—
442#117—434no—
443#117—862no—
444#117—862no—
445#117—862no—
446#117—862no—
447C2×C4⋊C4—431no—
448C2×C4⋊C4—431no—
449C2×C4⋊C4—431no—
450C2×C4⋊C4C22×D4311yescharacteristic
451C2×C4⋊C4C22×D4311yescharacteristic
452C2×C4⋊C4C22×D4311yescharacteristic
453C2×C22⋊C4—861no—
454C2×C22⋊C4—861no—
455C2×C22⋊C4—861no—
456C2×C22⋊C4—861no—
457C2×C22⋊C4—861no—
458C2×C22⋊C4—861no—
459C2×C22⋊C4—861no—
460C2×C42—21no—
461C2×C42—431no—
462C2×C42—431no—
463C2×C42—431no—
464C2×C42—862no—
465C2×C42—862no—
466C2×C42—861no—
467C2×C42—861no—
468C2×C42—861no—
469C2×C42—861no—
470C2×C42—861no—
471C2×C42—861no—
472C2×C42C22×D4311yescharacteristic
473#107—22no—
474#107—862no—
475#106—862no—
476#106—862no—
477#103—22no—
478#103—434no—
479#103—862no—
480#103C4×D4314yescomplemented
481#102—434no—
482#102—434no—
483#102—862no—
484#102—862no—
485#95—21no—
486#95—21no—
487#95—21no—
488#95—861no—
489#95—861no—
490#95—861no—
491#95—861no—
492#95—861no—
493C24—431no—
494C24—861no—
495#41—868no—
496#41—868no—
497#41—1724no—
498#41—1724no—
499C2×Q8—21no—
500C2×Q8—21no—
501C2×Q8—21no—
502C2×Q8—21no—
503C2×Q8—21no—
504C2×Q8C2×C4×D4312yes—
505C2×D4—432no—
506C2×D4—864no—
507C2×D4—861no—
508C2×D4—861no—
509C2×D4—861no—
510C2×D4—861no—
511C2×D4—861no—
512C2×D4—1722no—
513C2×D4—1722no—
514C22×C4—21no—
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—431no—
519C22×C4—432no—
520C22×C4—432no—
521C22×C4—432no—
522C22×C4—432no—
523C22×C4—432no—
524C22×C4—432no—
525C22×C4—431no—
526C22×C4—431no—
527C22×C4—862no—
528C22×C4—864no—
529C22×C4—862no—
530C22×C4—862no—
531C22×C4—861no—
532C22×C4—861no—
533C22×C4—862no—
534C22×C4—861no—
535C22×C4—1721no—
536C22×C4—1721no—
537C22×C4—1722no—
538C22×C4—1722no—
539C22×C4D4×D4311yescharacteristic
540C22×C4D4×D4311yescharacteristic
541C22×C4C23×D4311yescharacteristic
542C2×C8—21no—
543C2×C8—21no—
544C2×C8—21no—
545C2×C8—21no—
546C2×C8—21no—
547C2×C8—432no—
548C2×C8—868no—
549C2×C8—861no—
550C2×C8—861no—
551C2×C8—861no—
552C2×C8—861no—
553C2×C8—861no—
554C2×C8—1724no—
555C2×C8C2×C4×D4312yes—
556C4⋊C4—21no—
557C4⋊C4—21no—
558C4⋊C4—21no—
559C4⋊C4—21no—
560C4⋊C4—432no—
561C4⋊C4—432no—
562C4⋊C4—861no—
563C4⋊C4—861no—
564C4⋊C4—861no—
565C4⋊C4—861no—
566C4⋊C4C2×C4×D4312yes—
567C4⋊C4D4×D4312yes—
568C22⋊C4—864no—
569C22⋊C4—864no—
570C22⋊C4—1722no—
571C22⋊C4—1722no—
572C22⋊C4—1722no—
573C22⋊C4—1722no—
574C22⋊C4—1722no—
575C42—21no—
576C42—21no—
577C42—42no—
578C42—862no—
579C42—862no—
580C42—864no—
581C42—864no—
582C42—861no—
583C42—861no—
584C42—1722no—
585C42—1722no—
586C42—1722no—
587C42—1722no—
588C23—432no—
589C23—432no—
590C23—432no—
591C23—861no—
592C23—861no—
593C23—861no—
594C23—861no—
595C23—862no—
596C23—1721no—
597C23—1721no—
598C23—1721no—
599C23—1721no—
600C23—1721no—
601C23—1721no—
602C23C2×D4×D4311yescharacteristic
603Q8—22no—
604Q8—22no—
605Q8—41no—
606Q8—41no—
607D4—862no—
608D4—862no—
609D4—1728no—
610D4—1721no—
611D4—1721no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—22no—
615C2×C4—22no—
616C2×C4—22no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—432no—
630C2×C4—432no—
631C2×C4—432no—
632C2×C4—434no—
633C2×C4—434no—
634C2×C4—434no—
635C2×C4—434no—
636C2×C4—432no—
637C2×C4—861no—
638C2×C4—861no—
639C2×C4—862no—
640C2×C4—862no—
641C2×C4—861no—
642C2×C4—861no—
643C2×C4—861no—
644C2×C4—1724no—
645C2×C4—1728no—
646C2×C4—1724no—
647C2×C4—1721no—
648C2×C4—1721no—
649C2×C4—1721no—
650C2×C4—1721no—
651C2×C4—1721no—
652C2×C4—1721no—
653C2×C4—1721no—
654C2×C4#1306334812yes—
655C2×C4C22×C4×D4311yescharacteristic
656C2×C4C2×D4×D4311yescharacteristic
657C2×C4#41×D4311yescharacteristic
658C2×C4#41×D4311yescharacteristic
659C2×C4#41×D4311yescharacteristic
660C2×C4#41×D4311yescharacteristic
661C8—22no—
662C8—41no—
663C8—862no—
664C8—1721no—
665C22—434no—
666C22—862no—
667C22—862no—
668C22—862no—
669C22—862no—
670C22—862no—
671C22—862no—
672C22—3441no—
673C22—3441no—
674C22—3441no—
675C22—3441no—
676C22—1722no—
677C22—1722no—
678C22—1722no—
679C22C4×D4×D4311yescharacteristic
680C22#121×D4311yescharacteristic
681C22#123×D4311yescharacteristic
682C22#135×D4311yescharacteristic
683C22C2×#1306334811yescharacteristic
684C22#1458369511yescharacteristic
685C22#1458369811yescharacteristic
686C4—22no—
687C4—41no—
688C4—42no—
689C4—42no—
690C4—42no—
691C4—81no—
692C4—434no—
693C4—862no—
694C4—3441no—
695C4—1721no—
696C4—1722no—
697C4—1722no—
698C4#117×D4311yescharacteristic
699C4C4×D4×D4311yescharacteristic
700C4#124×D4311yescharacteristic
701C4#126×D4311yescharacteristic
702C2—864no—
703C2—3442no—
704C2#388×D4311yescharacteristic
705C2C4×#1306334811yescharacteristic
706C2#1914339011yescharacteristic
707C2#1914404711yescharacteristic
708C2#1914405311yescharacteristic
709C2#1914451111yescharacteristic
710C2#1914451311yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC43×#1928C2
socleC23×C43C22×D4
prime radicalC22×#10621902C22
cosocleC22×C4×C43C24
hypercenter#1928D43
hypocenterC43#21058
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1928

Complements

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

NH ≅ G/Ntype
1. C2×#14582936C2semidirect
5. C4×#13063283C2semidirect
6. #19135238C2semidirect
7. #19135232C2semidirect
8. #19135226C2semidirect
9. #19135222C2semidirect
10. #19135220C2semidirect
11. #19135216C2semidirect
12. #19135214C2semidirect
13. #19134310C2semidirect
14. #336×D43C2semidirect
15. C43×#1928C2semidirect
28. #14582894C4semidirect
113. #13063249C2×C4semidirect
115. #13063247C2×C4semidirect
117. #13063245C2×C4semidirect
133. #103×C43C2×C4semidirect
353. #1928D43semidirect
417. C43#21058semidirect
480. #103C4×D43semidirect

Maximal subgroups

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

subgroupindex
C2×#145829362
C2×#145828942
#191370842
C4×#130632832
#191352382
#191352322
#191352262
#191352222
#191352202
#191352162
#191352142
#191343102
#336×D432
C43×#19282
#2105843