Finite Group Databasebeta

← #11885747

Subgroups — #11885747

Order 1152.

1307 conjugacy classes of subgroups.

The subgroup lattice has 690 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×D4×D12C211yesmaximal, characteristic, complemented
2C2×D3×#213C212yesmaximal, complemented
3#10594004C211yesmaximal, characteristic, complemented
4C4×#3753C211yesmaximal, characteristic, complemented
5C3×#5015C211yesmaximal, characteristic, complemented
6#10591447C212yesmaximal, complemented
7#10590595C212yesmaximal, complemented
8#10590499C212yesmaximal, complemented
9#10590355C211yesmaximal, characteristic, complemented
10#10590352C211yesmaximal, characteristic, complemented
11#10590329C211yesmaximal, characteristic, complemented
12D4×#213—31nomaximal
13#80350—31nomaximal
14C2×C3×D3×D4C2212yescomplemented
15C22×C3×D12—21no—
16C2×#3802—21no—
17C2×D3×D12C2212yescomplemented
18C32×C4×D4C2211yescharacteristic, complemented
19C2×#3753C2211yescharacteristic
20C4×C4⋊(C3⋊D3)C2211yescharacteristic, complemented
21C2×C3×#213C2212yescomplemented
22C3×#930—21no—
23C3×#895C2212yescomplemented
24C3×#882—22no—
25C3×#874C2211yescharacteristic, complemented
26C3×#874C2211yescharacteristic, complemented
27C3×C4×D12C2211yescharacteristic
28D3×#213—28no—
29#63922—22no—
30#63916—21no—
31#63908C2212yescomplemented
32C2×#3714C2212yescomplemented
33C2×#3713C2212yescomplemented
34C2×#3713C2212yescomplemented
35C2×D3×C3⋊C8C2212yescomplemented
36#63659C2211yescharacteristic, complemented
37#63636C2211yescharacteristic, complemented
38#63634C2211yescharacteristic, complemented
39C4×C3⋊(C3⋊C8)C2211yescharacteristic, complemented
40C3×#809C2212yescomplemented
41C3×C4⋊(C3⋊C8)C2211yescharacteristic, complemented
42#63563C2212yescomplemented
43(C2×D3)⋊(C3⋊C8)C2212yescomplemented
44C3×D42—31no—
45C22×#213—32no—
46C2×D3×D8—32no—
47#5717—31no—
48D4×D12—31no—
49D4×D12D311yescharacteristic, complemented
50C3×#459—31no—
51#5217—32no—
52#5156—32no—
53#5073—31no—
54#5073—31no—
55#5072—31no—
56#5038—32no—
57#5036—32no—
58#5015D311yescharacteristic, complemented
59C4×#213—31no—
60C4×#213—31no—
61C4×#213—61no—
62D4×C3⋊C8—31no—
63#4843—31no—
64#4834—31no—
65#4775—32no—
66#4773—32no—
67C23×C3×D3—22no—
68C22×D32—22no—
69C2×C32×D4C2311yescharacteristic
70C22×C32×C4—21no—
71C2×C4⋊(C3⋊D3)C2311yescharacteristic
72C2×C4×C3⋊D3—21no—
73C2×C3×#67—22no—
74C3×D3×D4—24no—
75C3×D3×D4—42no—
76C2×C3×D12—22no—
77C2×C3×D12—21no—
78C2×C3×D12—21no—
79C2×C3×D12—21no—
80C2×C3×D12—21no—
81C2×C3×D12—44no—
82C2×C3×D12D411yescharacteristic
83C2×C3×D12C2312yes—
84C2×C3×D12C2312yes—
85C2×C3×C4×D3C2312yes—
86C2×#626—22no—
87C2×#625—22no—
88#3802—44no—
89D3×D12—24no—
90D3×D12—42no—
91C32×C4⋊C4C2311yescharacteristic
92C32×C22⋊C4—21no—
93C32×C42C2311yescharacteristic
94#3753D414yescomplemented
95#3752—21no—
96C4⋊(C3⋊Dic3)C2311yescharacteristic
97C2×C3⋊(C3⋊C8)C2311yescharacteristic
98C2×C3⋊(C3⋊C8)C2311yescharacteristic
99C3×#213—24no—
100C3×(C2×D3)⋊C4—22no—
101C3×(C2×D3)⋊C4D412yes—
102C3×C4⋊Dic3D411yescharacteristic
103C2×C3×C3⋊C8C2312yes—
104(C2×D3)⋊Dic3—22no—
105#3714—24no—
106#3713—24no—
107#3713—42no—
108D3×C3⋊C8—24no—
109D4×D8—91noSylow
110C22×C3×D4—32no—
111C22×C3×D4—61no—
112C2×D3×D4—32no—
113C2×D3×D4—61no—
114C2×D3×D4—61no—
115C2×D3×D4C2×D312yescomplemented
116C22×D12—21no—
117C22×D12—32no—
118C2×C3×D8—32no—
119C3×#127—31no—
120C3×#127—31no—
121C3×#121—32no—
122C3×#121—61no—
123C3×#120—62no—
124C3×C4×D4—21no—
125C3×C4×D4—31no—
126C3×C4×D4C2×D311yescharacteristic, complemented
127C3×C4×D4C2×D311yescharacteristic, complemented
128#938—32no—
129#938—61no—
130#937—62no—
131C2×#213—31no—
132C2×#213—31no—
133C2×#213—32no—
134C2×#213—32no—
135C2×#213—32no—
136C2×#213—32no—
137C2×#213—32no—
138C2×#213—61no—
139C2×#213—68no—
140C2×#213C2×D312yescomplemented
141#930—21no—
142#930—32no—
143C22×C3⋊C8—32no—
144D3×D8—68no—
145C2×D24—32no—
146C2×D3×C8—32no—
147#895—61no—
148#895C2×D312yescomplemented
149#882—22no—
150#882—62no—
151#874C2×D311yescharacteristic, complemented
152#874C2×D311yescharacteristic, complemented
153C4×D12—31no—
154C4×D12—31no—
155C4×D12—61no—
156C4×D12C2×D311yescharacteristic
157C3×C4⋊C8—31no—
158C3×#102—32no—
159#832—31no—
160#832—31no—
161#832—32no—
162#832—61no—
163#830—32no—
164#821—32no—
165(C2×D3)⋊C8—32no—
166#809—31no—
167#809—31no—
168#809—61no—
169#809C2×D312yescomplemented
170#807—31no—
171#807—31no—
172#807—61no—
173C4⋊(C3⋊C8)C2×D311yescharacteristic, complemented
174C4×C3⋊C8—31no—
175C4×C3⋊C8—31no—
176C4×C3⋊C8—61no—
177C23×C32—21no—
178C22×C3⋊D3—21no—
179C22×C3×D3—22no—
180C22×C3×D3—22no—
181C22×C3×D3—44no—
182C22×C3×D3—44no—
183C22×C3×D3—82no—
184C22×C3×D3C2×D412yes—
185C2×D32—44no—
186C2×D32—44no—
187C2×D32—82no—
188C32×D4—21no—
189C32×D4C2×D412yescomplemented
190C2×C32×C4—21no—
191C2×C32×C4—42no—
192C2×C32×C4C2×D411yescharacteristic
193C2×C32×C4C2×D411yescharacteristic
194C2×C32×C4C2411yescharacteristic
195C2×C3⋊Dic3—21no—
196C4⋊(C3⋊D3)—21no—
197C4⋊(C3⋊D3)C2×D412yescomplemented
198C4×C3⋊D3—42no—
199C3×#67—44no—
200C2×C3×Dic3C2×D412yes—
201C3×D12—22no—
202C3×D12—22no—
203C3×D12—22no—
204C3×D12—22no—
205C3×D12—44no—
206C3×D12—42no—
207C3×D12—42no—
208C3×D12—81no—
209C3×D12—81no—
210C3×D12D814yescomplemented
211C3×C4×D3—22no—
212C3×C4×D3—22no—
213#626—44no—
214#625—44no—
215C3⋊(C3⋊C8)—21no—
216C3⋊(C3⋊C8)C2×D412yescomplemented
217C3×C3⋊C8—22no—
218C22×D8—92no—
219D42—31no—
220D42—91no—
221#493—91no—
222#466—92no—
223#459—31no—
224#459—91no—
225#447—92no—
226#447—92no—
227C4×D8—91no—
228C8×D4—91no—
229C24×C3—62no—
230C23×D3—22no—
231C23×D3—62no—
232C23×D3—62no—
233C2×C3×D4—21no—
234C2×C3×D4—31no—
235C2×C3×D4—32no—
236C2×C3×D4—32no—
237C2×C3×D4—62no—
238C2×C3×D4—62no—
239C2×C3×D4—64no—
240C2×C3×D4—61no—
241C2×C3×D4—61no—
242C2×C3×D4—61no—
243C2×C3×D4—61no—
244C2×C3×D4—124no—
245C2×C3×D4—122no—
246C2×C3×D4C22×D311yescharacteristic
247C2×C3×D4C22×D311yescharacteristic
248C22×C3×C4—21no—
249C22×C3×C4—21no—
250C22×C3×C4—32no—
251C22×C3×C4—41no—
252C2×#67—22no—
253C2×#67—62no—
254C2×#67—62no—
255C2×#67—62no—
256D3×D4—24no—
257D3×D4—42no—
258D3×D4—64no—
259D3×D4—122no—
260D3×D4—124no—
261D3×D4—124no—
262C2×D12—22no—
263C2×D12—21no—
264C2×D12—21no—
265C2×D12—21no—
266C2×D12—21no—
267C2×D12—31no—
268C2×D12—31no—
269C2×D12—44no—
270C2×D12—61no—
271C2×D12—64no—
272C2×D12—62no—
273C2×D12—122no—
274C2×D12#6711yescharacteristic
275C2×D12C22×D312yes—
276C2×D12C22×D312yes—
277C2×C4×D3—61no—
278C2×C4×D3—61no—
279C2×C4×D3—121no—
280C2×C4×D3C22×D312yes—
281C3×D8—64no—
282C2×C3×C8—32no—
283C3×C4⋊C4—21no—
284C3×C4⋊C4—31no—
285C3×C4⋊C4C22×D311yescharacteristic
286C3×C4⋊C4C22×D311yescharacteristic
287C3×C22⋊C4—21no—
288C3×C22⋊C4—21no—
289C3×C22⋊C4—32no—
290C3×C22⋊C4—41no—
291C3×C22⋊C4—62no—
292C3×C42—21no—
293C3×C42C22×D311yescharacteristic
294C3×C42C22×D311yescharacteristic
295#217—62no—
296#213—24no—
297#213—34no—
298#213—34no—
299#213—64no—
300#213—64no—
301#213—64no—
302#213—64no—
303#213—122no—
304#213—122no—
305(C2×D3)⋊C4—22no—
306(C2×D3)⋊C4—62no—
307(C2×D3)⋊C4—61no—
308(C2×D3)⋊C4—61no—
309(C2×D3)⋊C4—121no—
310(C2×D3)⋊C4#6712yes—
311C4⋊Dic3—31no—
312C4⋊Dic3—31no—
313C4⋊Dic3—61no—
314C4⋊Dic3#6711yescharacteristic
315C2×C3⋊C8—31no—
316C2×C3⋊C8—31no—
317C2×C3⋊C8—31no—
318C2×C3⋊C8—31no—
319C2×C3⋊C8—61no—
320C2×C3⋊C8—61no—
321C2×C3⋊C8—64no—
322C2×C3⋊C8C22×D312yes—
323D24—64no—
324D3×C8—64no—
325C22×C32—22no—
326C22×C32—41no—
327C22×C32—41no—
328C22×C32C22×D411yescharacteristic
329C2×C3⋊D3—22no—
330C2×C3⋊D3—41no—
331C2×C3⋊D3—41no—
332C2×C3×D3—22no—
333C2×C3×D3—22no—
334C2×C3×D3—42no—
335C2×C3×D3—42no—
336C2×C3×D3—42no—
337C2×C3×D3—42no—
338C2×C3×D3—42no—
339C2×C3×D3—42no—
340C2×C3×D3—88no—
341C2×C3×D3C2×D814yescomplemented
342D32—88no—
343C32×C4—21no—
344C32×C4—41no—
345C32×C4C2×D812yescomplemented
346C32×C4C22×D411yescharacteristic
347C32×C4H(5,𝔽2)11yescharacteristic
348C3⋊Dic3—41no—
349C3×Dic3—22no—
350C22×D4—32no—
351C22×D4—61no—
352C22×D4—92no—
353C22×D4—181no—
354C2×D8—32no—
355C2×D8—92no—
356C2×D8—91no—
357C2×D8—92no—
358C2×D8—92no—
359C2×D8—188no—
360C22×C8—92no—
361#127—31no—
362#127—31no—
363#121—32no—
364#121—61no—
365#121—92no—
366#121—181no—
367#120—62no—
368#120—182no—
369C4×D4—31no—
370C4×D4—91no—
371C4×D4D3211yescharacteristic, complemented
372#107—91no—
373C4⋊C8—31no—
374#102—32no—
375#102—92no—
376#102—91no—
377#102—91no—
378C22⋊C8—92no—
379C4×C8—91no—
380C23×C3—21no—
381C23×C3—21no—
382C23×C3—32no—
383C23×C3—41no—
384C23×C3—62no—
385C23×C3—62no—
386C23×C3—124no—
387C23×C3—124no—
388C23×C3—242no—
389C22×D3—22no—
390C22×D3—22no—
391C22×D3—44no—
392C22×D3—44no—
393C22×D3—61no—
394C22×D3—61no—
395C22×D3—82no—
396C22×D3—121no—
397C22×D3—124no—
398C22×D3—124no—
399C22×D3—124no—
400C22×D3—124no—
401C22×D3—242no—
402C22×D3—242no—
403C22×D3C2×#6712yes—
404C3×D4—21no—
405C3×D4—21no—
406C3×D4—22no—
407C3×D4—34no—
408C3×D4—41no—
409C3×D4—62no—
410C3×D4—62no—
411C3×D4—62no—
412C3×D4—62no—
413C3×D4—124no—
414C3×D4—124no—
415C3×D4—122no—
416C3×D4—122no—
417C3×D4—241no—
418C3×D4—241no—
419C3×D4D3×D412yescomplemented
420C3×D4D3×D412yescomplemented
421C2×C3×C4—21no—
422C2×C3×C4—21no—
423C2×C3×C4—21no—
424C2×C3×C4—21no—
425C2×C3×C4—21no—
426C2×C3×C4—32no—
427C2×C3×C4—41no—
428C2×C3×C4—42no—
429C2×C3×C4—42no—
430C2×C3×C4—62no—
431C2×C3×C4—62no—
432C2×C3×C4—82no—
433C2×C3×C4D3×D411yescharacteristic
434C2×C3×C4D3×D411yescharacteristic
435C2×C3×C4C2×#6711yescharacteristic
436C2×C3×C4C2×#6711yescharacteristic
437C2×C3×C4C23×D311yescharacteristic
438C2×C3×C4C23×D311yescharacteristic
439#67—44no—
440#67—124no—
441#67—124no—
442#67—124no—
443C2×Dic3—61no—
444C2×Dic3—61no—
445C2×Dic3—121no—
446C2×Dic3C2×#6712yes—
447D12—22no—
448D12—22no—
449D12—22no—
450D12—22no—
451D12—32no—
452D12—32no—
453D12—44no—
454D12—42no—
455D12—42no—
456D12—62no—
457D12—61no—
458D12—61no—
459D12—81no—
460D12—81no—
461D12—121no—
462D12—124no—
463D12#21314yescomplemented
464C4×D3—22no—
465C4×D3—22no—
466C4×D3—122no—
467C4×D3—122no—
468C4×D3—242no—
469C3×C8—62no—
470C3⋊C8—22no—
471C3⋊C8—32no—
472C3⋊C8—32no—
473C3⋊C8—62no—
474C3⋊C8—61no—
475C3⋊C8—61no—
476C3⋊C8—121no—
477C2×C32—42no—
478C2×C32D4211yescharacteristic
479C2×C32C22×D811yescharacteristic
480C2×C32#57611yescharacteristic
481C3⋊D3—42no—
482C3×D3—24no—
483C3×D3—82no—
484C3×D3—82no—
485C24—62no—
486C24—182no—
487C2×D4—32no—
488C2×D4—32no—
489C2×D4—31no—
490C2×D4—62no—
491C2×D4—62no—
492C2×D4—64no—
493C2×D4—61no—
494C2×D4—61no—
495C2×D4—61no—
496C2×D4—61no—
497C2×D4—91no—
498C2×D4—124no—
499C2×D4—122no—
500C2×D4—182no—
501C2×D4—184no—
502C2×D4—182no—
503C2×D4—362no—
504C2×D4—364no—
505C2×D4C2×D3211yescharacteristic
506C22×C4—21no—
507C22×C4—32no—
508C22×C4—181no—
509D8—64no—
510D8—94no—
511D8—184no—
512D8—184no—
513D8—362no—
514C2×C8—32no—
515C2×C8—91no—
516C2×C8—91no—
517C2×C8—184no—
518C4⋊C4—31no—
519C4⋊C4—91no—
520C4⋊C4C2×D3211yescharacteristic
521C22⋊C4—21no—
522C22⋊C4—32no—
523C22⋊C4—62no—
524C22⋊C4—182no—
525C22⋊C4—181no—
526C42C2×D3211yescharacteristic
527C22×C3—22no—
528C22×C3—22no—
529C22×C3—21no—
530C22×C3—34no—
531C22×C3—42no—
532C22×C3—41no—
533C22×C3—41no—
534C22×C3—41no—
535C22×C3—41no—
536C22×C3—62no—
537C22×C3—62no—
538C22×C3—81no—
539C22×C3—81no—
540C22×C3—122no—
541C22×C3—122no—
542C22×C3—122no—
543C22×C3—122no—
544C22×C3—122no—
545C22×C3—122no—
546C22×C3—248no—
547C22×C3C2×D3×D411yescharacteristic
548C22×C3C22×#6711yescharacteristic
549C2×D3—22no—
550C2×D3—22no—
551C2×D3—42no—
552C2×D3—42no—
553C2×D3—42no—
554C2×D3—42no—
555C2×D3—42no—
556C2×D3—42no—
557C2×D3—62no—
558C2×D3—62no—
559C2×D3—88no—
560C2×D3—122no—
561C2×D3—121no—
562C2×D3—121no—
563C2×D3—121no—
564C2×D3—121no—
565C2×D3—241no—
566C2×D3—241no—
567C2×D3—248no—
568C2×D3—248no—
569C2×D3C2×#21314yescomplemented
570C3×C4—21no—
571C3×C4—21no—
572C3×C4—21no—
573C3×C4—21no—
574C3×C4—22no—
575C3×C4—41no—
576C3×C4—41no—
577C3×C4—41no—
578C3×C4—62no—
579C3×C4—81no—
580C3×C4D3×D812yescomplemented
581C3×C4C2×#21312yescomplemented
582C3×C4C2×D3×D411yescharacteristic
583C3×C4C2×D3×D411yescharacteristic
584C3×C4#100411yescharacteristic
585C3×C4#100911yescharacteristic
586Dic3—22no—
587Dic3—121no—
588Dic3—121no—
589Dic3—241no—
590C32D4×D811yescharacteristic, complemented, Sylow
591C23—21no—
592C23—32no—
593C23—62no—
594C23—62no—
595C23—124no—
596C23—124no—
597C23—181no—
598C23—242no—
599C23—364no—
600C23—364no—
601C23—722no—
602D4—21no—
603D4—34no—
604D4—62no—
605D4—62no—
606D4—62no—
607D4—62no—
608D4—92no—
609D4—124no—
610D4—124no—
611D4—122no—
612D4—122no—
613D4—181no—
614D4—241no—
615D4—241no—
616D4—364no—
617D4—364no—
618D4#380212yescomplemented
619C2×C4—21no—
620C2×C4—32no—
621C2×C4—42no—
622C2×C4—62no—
623C2×C4—62no—
624C2×C4—181no—
625C2×C4—362no—
626C2×C4D3×#6711yescharacteristic
627C2×C4D3×#6711yescharacteristic
628C2×C4C22×D3211yescharacteristic
629C8—62no—
630C8—92no—
631C8—181no—
632C2×C3—21no—
633C2×C3—21no—
634C2×C3—21no—
635C2×C3—42no—
636C2×C3—42no—
637C2×C3—64no—
638C2×C3—82no—
639C2×C3—242no—
640C2×C3—242no—
641C2×C3#560911yescharacteristic
642C2×C3C2×D3×D811yescharacteristic
643C2×C3#577411yescharacteristic
644C2×C3C22×#21311yescharacteristic
645C2×C3D4×#6711yescharacteristic
646C2×C3#583511yescharacteristic
647D3—24no—
648D3—82no—
649D3—82no—
650D3—122no—
651D3—122no—
652D3—242no—
653C22—22no—
654C22—34no—
655C22—41no—
656C22—41no—
657C22—62no—
658C22—62no—
659C22—122no—
660C22—122no—
661C22—122no—
662C22—122no—
663C22—122no—
664C22—122no—
665C22—182no—
666C22—248no—
667C22—361no—
668C22—361no—
669C22—728no—
670C22C2×D3×#6711yescharacteristic
671C4—21no—
672C4—41no—
673C4—62no—
674C4—361no—
675C4D3×#21312yescomplemented
676C4C2×#380211yescharacteristic
677C4#6430711yescharacteristic
678C3—21no—
679C3#8035011yescharacteristic, complemented
680C3D4×#21311yescharacteristic, complemented
681C2—42no—
682C2—64no—
683C2—242no—
684C2—242no—
685C2—362no—
686C2#1059506911yescharacteristic
687C2C2×D3×#21311yescharacteristic
688C2#1059545411yescharacteristic
subgroupG/H
centerC22C2×D3×#67
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×C4×D4C22
socleC22×C32C22×D4
hypercenterC4×D4D32
hypocenterC32D4×D8
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C42 ◁ C4×D4

Complements

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

NH ≅ G/Ntype
1. C3×D4×D12C2semidirect
2. C2×D3×#213C2semidirect
3. #10594004C2semidirect
4. C4×#3753C2semidirect
5. C3×#5015C2semidirect
6. #10591447C2semidirect
7. #10590595C2semidirect
8. #10590499C2semidirect
9. #10590355C2semidirect
10. #10590352C2semidirect
11. #10590329C2semidirect
14. C2×C3×D3×D4C22semidirect
17. C2×D3×D12C22semidirect
18. C32×C4×D4C22semidirect
20. C4×C4⋊(C3⋊D3)C22semidirect
21. C2×C3×#213C22semidirect
23. C3×#895C22semidirect
25. C3×#874C22semidirect
26. C3×#874C22semidirect
31. #63908C22semidirect
32. C2×#3714C22semidirect
33. C2×#3713C22semidirect
34. C2×#3713C22semidirect
35. C2×D3×C3⋊C8C22semidirect
36. #63659C22semidirect
37. #63636C22semidirect
38. #63634C22semidirect
39. C4×C3⋊(C3⋊C8)C22semidirect
40. C3×#809C22semidirect
41. C3×C4⋊(C3⋊C8)C22semidirect
42. #63563C22semidirect
43. (C2×D3)⋊(C3⋊C8)C22semidirect
49. D4×D12D3semidirect
58. #5015D3semidirect
94. #3753D4semidirect
115. C2×D3×D4C2×D3semidirect
126. C3×C4×D4C2×D3semidirect
127. C3×C4×D4C2×D3semidirect
140. C2×#213C2×D3semidirect
148. #895C2×D3semidirect
151. #874C2×D3semidirect
152. #874C2×D3semidirect
169. #809C2×D3semidirect
173. C4⋊(C3⋊C8)C2×D3semidirect
189. C32×D4C2×D4semidirect
197. C4⋊(C3⋊D3)C2×D4semidirect
210. C3×D12D8semidirect
216. C3⋊(C3⋊C8)C2×D4semidirect
341. C2×C3×D3C2×D8semidirect
345. C32×C4C2×D8semidirect
371. C4×D4D32semidirect
419. C3×D4D3×D4semidirect
420. C3×D4D3×D4semidirect
463. D12#213semidirect
569. C2×D3C2×#213semidirect
580. C3×C4D3×D8semidirect
581. C3×C4C2×#213semidirect
590. C32D4×D8semidirect
618. D4#3802semidirect
675. C4D3×#213semidirect
679. C3#80350semidirect
680. C3D4×#213semidirect

Maximal subgroups

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

subgroupindex
C3×D4×D122
C2×D3×#2132
#105940042
C4×#37532
C3×#50152
#105914472
#105905952
#105904992
#105903552
#105903522
#105903292
D4×#2133
#803503