Finite Group Databasebeta

← #10982997

Subgroups — #10982997

Order 768.

2314 conjugacy classes of subgroups.

The subgroup lattice has 738 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5533C211yesmaximal, characteristic, complemented
2C2×#5523C211yesmaximal, characteristic, complemented
3C3×#2346C211yesmaximal, characteristic, complemented
4#76210C212yesmaximal, complemented
5#75997C212yesmaximal, complemented
6#75516C214yesmaximal, complemented
7#75507C214yesmaximal, complemented
8#74245C212yesmaximal, complemented
9#74191C212yesmaximal, complemented
10#74028C211yesmaximal, characteristic, complemented
11#73950C211yesmaximal, characteristic, complemented
12#73773C212yesmaximal, complemented
13#73771C212yesmaximal, complemented
14#73580C211yesmaximal, characteristic
15#73518C211yesmaximal, characteristic, complemented
16#73419C212yesmaximal, complemented
17#73403C212yesmaximal, complemented
18#35759—31nomaximal, Sylow
19C22×#235C2211yescharacteristic
20C2×C3×#117C2211yescharacteristic
21C2×C4×#67C2211yescharacteristic
22C22×C4⋊Dic3C2211yescharacteristic
23C2×#924C2211yescharacteristic
24#5533—28no—
25#5523—28no—
26C2×#897C2212yes—
27C2×#897C2211yescharacteristic
28C2×#892C2211yescharacteristic
29C2×#892C2212yes—
30C2×D3×C4⋊C4C2212yes—
31C2×#888C2211yescharacteristic
32C2×#887C2211yescharacteristic
33C2×#885C2212yes—
34C2×#67⋊C4C2214yes—
35C2×#879C2212yes—
36C2×#876C2212yes—
37C2×C4×D12C2212yes—
38C2×C4×D12C2212yes—
39C2×C4×Dic6C2212yes—
40C2×C4×Dic6C2212yes—
41C3×#389C2212yes—
42C3×#388C2214yes—
43C3×#382C2212yes—
44C3×#380C2211yescharacteristic
45C3×C4×C4⋊C4C2212yes—
46C3×C4×C22⋊C4C2211yescharacteristic
47C3×#376C2212yes—
48#4994C2214yes—
49#4991C2214yes—
50#4987C2212yes—
51#4987C2212yes—
52#4984C2212yes—
53#4984C2214yes—
54#4973C2214yes—
55#4961C2212yes—
56#4961C2214yes—
57#4960C2212yes—
58#4958C2212yes—
59#4950C2212yes—
60#4943C2214yes—
61#4940C2214yes—
62C4×(C2×D3)⋊C4C2214yes—
63C4×(C2×D3)⋊C4C2212yes—
64C4×(C2×D3)⋊C4C2214yes—
65#4936C2212yes—
66#4929C2212yes—
67#4928C2214yes—
68#4677C2212yes—
69#4674C2214yes—
70#4673C2211yescharacteristic
71#4673C2214yes—
72#4672C2212yes—
73#4672C2211yescharacteristic
74#4671C2211yescharacteristic
75#4670C2214yes—
76#4668C2214yes—
77#4665C2214yes—
78#4659C2212yes—
79#4659C2212yes—
80#4659C2212yes—
81#4656C2211yescharacteristic
82#4656C2212yes—
83#4653C2214yes—
84#4653C2214yes—
85#4653C2214yes—
86C2×#556—31no—
87C2×#520—31no—
88#2636—32no—
89#2616—31no—
90#2604—32no—
91#2581—32no—
92#2503—31no—
93#2487—31no—
94#2466—34no—
95#2459—34no—
96#2439—32no—
97#2415—32no—
98#2398—32no—
99#2388—31no—
100#2360—32no—
101#2352—32no—
102#2346D311yescharacteristic, complemented
103C23×C3×C4C2311yescharacteristic
104C22×#67C2312yes—
105C22×#67C2311yescharacteristic
106C23×Dic3C2312yes—
107C2×#235—24no—
108C2×#235—28no—
109C22×D12C2311yescharacteristic
110C22×D12C2312yes—
111C22×C4×D3C2311yescharacteristic
112C22×C4×D3C2312yes—
113C22×C4×D3C2314yes—
114C22×Dic6C2311yescharacteristic
115C22×Dic6C2311yescharacteristic
116C22×Dic6C2312yes—
117C3×#117D418yescomplemented
118C2×C3×C4⋊C4C2312yes—
119C2×C3×C4⋊C4C2314yes—
120C2×C3×C4⋊C4C2311yescharacteristic
121C2×C3×C4⋊C4C2311yescharacteristic
122C2×C3×C22⋊C4C2312yes—
123C2×C3×C22⋊C4C2312yes—
124C2×C3×C22⋊C4C2312yes—
125C2×C3×C42C2312yes—
126C2×C3×C42C2314yes—
127C2×C3×C42C2312yes—
128C2×#217C2312yes—
129C2×#217C2311yescharacteristic
130C4×#67—24no—
131C2×(C2×D3)⋊C4C2312yes—
132C2×(C2×D3)⋊C4C2314yes—
133C2×(C2×D3)⋊C4C2312yes—
134C2×(C2×D3)⋊C4C2312yes—
135C2×(C2×D3)⋊C4C2311yescharacteristic
136C2×(C2×D3)⋊C4C2312yes—
137C2×(C2×D3)⋊C4C2312yes—
138C2×(C2×D3)⋊C4C2314yes—
139C2×(C2×D3)⋊C4C2314yes—
140C2×(C2×D3)⋊C4C2314yes—
141C2×(C2×D3)⋊C4C2312yes—
142C2×C4⋊Dic3—24no—
143C2×C4⋊Dic3C2312yes—
144C2×C4⋊Dic3C2314yes—
145C2×C4⋊Dic3C2312yes—
146C2×C4⋊Dic3C2312yes—
147C2×C4⋊Dic3C2312yes—
148C2×C4⋊Dic3C2311yescharacteristic
149C2×C4⋊Dic3C2314yes—
150#924—24no—
151C2×Dic3⋊C4C2314yes—
152C2×Dic3⋊C4C2312yes—
153C2×Dic3⋊C4C2311yescharacteristic
154C2×Dic3⋊C4C2312yes—
155C2×Dic3⋊C4C2312yes—
156C2×C4×Dic3C2312yes—
157C2×C4×Dic3C2312yes—
158C2×C4×Dic3C2314yes—
159C2×C4×Dic3C2311yescharacteristic
160#897—28no—
161#897—24no—
162#892—28no—
163#892—24no—
164D3×C4⋊C4—28no—
165#888—24no—
166#887—24no—
167#885—28no—
168#67⋊C4—216no—
169#879—28no—
170#876—28no—
171C4×D12—28no—
172C4×D12—28no—
173C4×Dic6—28no—
174C4×Dic6—28no—
175C3×#95C2314yes—
176C3×#95C2314yes—
177C3×#95C2311yescharacteristic
178C3×#95C2312yes—
179C3×#95C2311yescharacteristic
180C3⋊#95C2312yes—
181C3⋊#95C2314yes—
182C3⋊#95C2312yes—
183C3⋊#95C2314yes—
184C3⋊#95C2314yes—
185C3⋊#95C2314yes—
186C3⋊#95C2314yes—
187C3⋊#95C2314yes—
188C3⋊#95C2314yes—
189C22×#41—31no—
190#556—68no—
191C2×C4⋊Q8—31no—
192C2×#126—32no—
193C2×#126—32no—
194C2×#124—32no—
195C2×C22⋊Q8—31no—
196C2×C22⋊Q8—32no—
197C2×C22⋊Q8—31no—
198#520—68no—
199C2×C4×Q8—31no—
200C2×C4×Q8—32no—
201C2×C4×Q8—32no—
202C2×C4×D4—31no—
203C2×C4×D4—34no—
204C2×C4×D4—32no—
205C2×C4×D4—32no—
206C2×#117—31no—
207C2×#117—32no—
208C2×#117C2×D311yescharacteristic
209C22×C4⋊C4—31no—
210C22×C4⋊C4—32no—
211#400—32no—
212#400—32no—
213#400—32no—
214#399—32no—
215#397—34no—
216#396—34no—
217#395—31no—
218#395—32no—
219#394—34no—
220#394—34no—
221#394—32no—
222#394—32no—
223#394—31no—
224#393—31no—
225#393—34no—
226#392—32no—
227#392—31no—
228#391—34no—
229#391—32no—
230#389—34no—
231#389—32no—
232#389—34no—
233#389C2×D312yes—
234#388—34no—
235#388—34no—
236#388C2×D314yes—
237#387—34no—
238#387—34no—
239#387—34no—
240#386—32no—
241#386—34no—
242#385—32no—
243#385—34no—
244#382—32no—
245#382C2×D312yes—
246#381—34no—
247#380—32no—
248#380—32no—
249#380C2×D311yescharacteristic
250C4×C4⋊C4C2×D312yes—
251C4×C22⋊C4—34no—
252C4×C22⋊C4—32no—
253C4×C22⋊C4—34no—
254C4×C22⋊C4C2×D311yescharacteristic
255#376C2×D312yes—
256C24×C3C2411yescharacteristic
257C23×D3C2411yescharacteristic
258C23×D3C2412yes—
259C22×C3×C4—24no—
260C22×C3×C4C2×D414yes—
261C22×C3×C4C2412yes—
262C22×C3×C4C2412yes—
263C22×C3×C4C2414yes—
264C22×C3×C4C2411yescharacteristic
265C22×C3×C4C2412yes—
266C22×C3×C4C2412yes—
267C22×C3×C4C2411yescharacteristic
268C2×#67—24no—
269C2×#67—24no—
270C2×#67—22no—
271C2×#67—24no—
272C2×#67—22no—
273C2×#67—41no—
274C22×Dic3—24no—
275C22×Dic3—44no—
276C22×Dic3C2412yes—
277C22×Dic3C2414yes—
278C22×Dic3C2411yescharacteristic
279C22×Dic3C2412yes—
280C22×Dic3C2411yescharacteristic
281C22×Dic3C2412yes—
282C22×Dic3C2411yescharacteristic
283#235—232no—
284C2×D12—24no—
285C2×D12—22no—
286C2×D12—24no—
287C2×D12—42no—
288C2×D12—42no—
289C2×C4×D3—24no—
290C2×C4×D3—24no—
291C2×C4×D3—22no—
292C2×C4×D3—24no—
293C2×C4×D3—28no—
294C2×C4×D3—44no—
295C2×C4×D3—44no—
296C2×C4×D3#4118yes—
297C2×Dic6—22no—
298C2×Dic6—24no—
299C2×Dic6—24no—
300C2×Dic6—22no—
301C2×Dic6—24no—
302C2×Dic6—24no—
303C2×Dic6—42no—
304C3×C4⋊C4—24no—
305C3×C4⋊C4—44no—
306C3×C4⋊C4C2×D414yes—
307C3×C4⋊C4C2×D414yes—
308C3×C22⋊C4—42no—
309C3×C22⋊C4—42no—
310C3×C22⋊C4C2×D418yes—
311C3×C42—24no—
312C3×C42—44no—
313C3×C42C2×D418yes—
314#217—22no—
315#217—24no—
316(C2×D3)⋊C4—24no—
317(C2×D3)⋊C4—28no—
318(C2×D3)⋊C4—28no—
319(C2×D3)⋊C4—22no—
320(C2×D3)⋊C4—24no—
321(C2×D3)⋊C4—24no—
322(C2×D3)⋊C4—24no—
323(C2×D3)⋊C4—24no—
324(C2×D3)⋊C4—42no—
325(C2×D3)⋊C4—44no—
326(C2×D3)⋊C4—44no—
327C4⋊Dic3—24no—
328C4⋊Dic3—24no—
329C4⋊Dic3—22no—
330C4⋊Dic3—24no—
331C4⋊Dic3—24no—
332C4⋊Dic3—28no—
333C4⋊Dic3—44no—
334Dic3⋊C4—22no—
335Dic3⋊C4—24no—
336Dic3⋊C4—28no—
337Dic3⋊C4—24no—
338Dic3⋊C4—24no—
339C4×Dic3—24no—
340C4×Dic3—28no—
341C4×Dic3—24no—
342C4×Dic3—22no—
343C2×#41—68no—
344C2×#41—64no—
345C22×Q8—31no—
346C22×Q8—31no—
347C22×Q8—32no—
348C22×D4—32no—
349C22×D4—31no—
350C22×D4—31no—
351C22×D4—32no—
352C23×C4—32no—
353C23×C4—32no—
354C23×C4—31no—
355C23×C4—34no—
356C23×C4C22×D311yescharacteristic
357C4⋊Q8—64no—
358#126—68no—
359#126—68no—
360#124—68no—
361C22⋊Q8—68no—
362C22⋊Q8—64no—
363C22⋊Q8—64no—
364C4×Q8—64no—
365C4×Q8—68no—
366C4×Q8—68no—
367C4×D4—68no—
368C4×D4—64no—
369C4×D4—616no—
370C4×D4—68no—
371#117—68no—
372#117—64no—
373#117D1218yescomplemented
374C2×C4⋊C4—32no—
375C2×C4⋊C4—34no—
376C2×C4⋊C4—32no—
377C2×C4⋊C4—31no—
378C2×C4⋊C4—31no—
379C2×C4⋊C4—32no—
380C2×C4⋊C4—32no—
381C2×C4⋊C4—32no—
382C2×C4⋊C4—32no—
383C2×C4⋊C4—34no—
384C2×C4⋊C4—32no—
385C2×C4⋊C4—34no—
386C2×C4⋊C4—64no—
387C2×C4⋊C4—68no—
388C2×C4⋊C4C22×D312yes—
389C2×C4⋊C4C22×D314yes—
390C2×C4⋊C4C22×D311yescharacteristic
391C2×C4⋊C4C22×D311yescharacteristic
392C2×C22⋊C4—31no—
393C2×C22⋊C4—32no—
394C2×C22⋊C4—34no—
395C2×C22⋊C4—32no—
396C2×C22⋊C4—31no—
397C2×C22⋊C4—32no—
398C2×C22⋊C4—32no—
399C2×C22⋊C4—32no—
400C2×C22⋊C4—34no—
401C2×C22⋊C4—32no—
402C2×C22⋊C4—34no—
403C2×C22⋊C4—32no—
404C2×C22⋊C4—34no—
405C2×C22⋊C4C22×D312yes—
406C2×C22⋊C4C22×D312yes—
407C2×C22⋊C4C22×D312yes—
408C2×C42—34no—
409C2×C42—32no—
410C2×C42—31no—
411C2×C42—32no—
412C2×C42C22×D312yes—
413C2×C42C22×D314yes—
414C2×C42C22×D312yes—
415#95—34no—
416#95—34no—
417#95—34no—
418#95—34no—
419#95—32no—
420#95—32no—
421#95—34no—
422#95—34no—
423#95—34no—
424#95C22×D311yescharacteristic
425#95C22×D312yes—
426#95C22×D314yes—
427#95C22×D311yescharacteristic
428#95C22×D314yes—
429C23×C3—22no—
430C23×C3—21no—
431C23×C3—21no—
432C23×C3—22no—
433C23×C3C22×D412yes—
434C23×C3C2511yescharacteristic
435C22×D3—22no—
436C22×D3—22no—
437C22×D3—22no—
438C22×D3—22no—
439C22×D3—22no—
440C22×D3—22no—
441C22×D3—21no—
442C22×D3—22no—
443C22×D3—21no—
444C22×D3—22no—
445C22×D3—21no—
446C22×D3C2×#4114yes—
447C2×C3×C4—22no—
448C2×C3×C4—22no—
449C2×C3×C4—24no—
450C2×C3×C4—22no—
451C2×C3×C4—28no—
452C2×C3×C4—24no—
453C2×C3×C4—22no—
454C2×C3×C4—22no—
455C2×C3×C4—22no—
456C2×C3×C4—24no—
457C2×C3×C4—24no—
458C2×C3×C4—22no—
459C2×C3×C4—22no—
460C2×C3×C4—22no—
461C2×C3×C4C22×D414yes—
462C2×C3×C4C22×D414yes—
463C2×C3×C4C22×D412yes—
464C2×C3×C4C22×D412yes—
465C2×C3×C4C2×#4114yes—
466#67—216no—
467#67—44no—
468C2×Dic3—21no—
469C2×Dic3—22no—
470C2×Dic3—22no—
471C2×Dic3—21no—
472C2×Dic3—21no—
473C2×Dic3—21no—
474C2×Dic3—22no—
475C2×Dic3—22no—
476C2×Dic3—24no—
477C2×Dic3—24no—
478C2×Dic3—22no—
479C2×Dic3—22no—
480C2×Dic3—22no—
481C2×Dic3—24no—
482C2×Dic3—22no—
483C2×Dic3—24no—
484C2×Dic3—84no—
485C2×Dic3C2×#4114yes—
486C2×Dic32−1+412yes—
487D12—28no—
488D12—48no—
489C4×D3—216no—
490C4×D3—44no—
491C4×D3—88no—
492Dic6—28no—
493Dic6—48no—
494Dic6—44no—
495C24—32no—
496C24—31no—
497C24C23×D311yescharacteristic
498#41—632no—
499C2×Q8—64no—
500C2×Q8—64no—
501C2×Q8—62no—
502C2×Q8—62no—
503C2×Q8—64no—
504C2×Q8—64no—
505C2×Q8—122no—
506C2×D4—64no—
507C2×D4—64no—
508C2×D4—64no—
509C2×D4—62no—
510C2×D4—64no—
511C2×D4—64no—
512C2×D4—62no—
513C2×D4—62no—
514C2×D4—122no—
515C2×D4—122no—
516C2×D4—121no—
517C22×C4—24no—
518C22×C4—31no—
519C22×C4—32no—
520C22×C4—38no—
521C22×C4—32no—
522C22×C4—34no—
523C22×C4—31no—
524C22×C4—32no—
525C22×C4—31no—
526C22×C4—64no—
527C22×C4—64no—
528C22×C4—64no—
529C22×C4—62no—
530C22×C4—64no—
531C22×C4—68no—
532C22×C4—124no—
533C22×C4—124no—
534C22×C4—124no—
535C22×C4C2×D1214yes—
536C22×C4C23×D312yes—
537C22×C4C23×D312yes—
538C22×C4C23×D314yes—
539C22×C4C23×D311yescharacteristic
540C22×C4C23×D312yes—
541C22×C4C23×D312yes—
542C22×C4C23×D311yescharacteristic
543C4⋊C4—24no—
544C4⋊C4—44no—
545C4⋊C4—64no—
546C4⋊C4—68no—
547C4⋊C4—64no—
548C4⋊C4—68no—
549C4⋊C4—64no—
550C4⋊C4—62no—
551C4⋊C4—62no—
552C4⋊C4—64no—
553C4⋊C4—64no—
554C4⋊C4—64no—
555C4⋊C4—64no—
556C4⋊C4—124no—
557C4⋊C4C2×D1214yes—
558C4⋊C4C2×D1214yes—
559C22⋊C4—42no—
560C22⋊C4—42no—
561C22⋊C4—64no—
562C22⋊C4—64no—
563C22⋊C4—64no—
564C22⋊C4—68no—
565C22⋊C4—62no—
566C22⋊C4—64no—
567C22⋊C4—68no—
568C22⋊C4—64no—
569C22⋊C4—62no—
570C22⋊C4—64no—
571C22⋊C4—124no—
572C22⋊C4—122no—
573C22⋊C4—124no—
574C22⋊C4C2×D1218yes—
575C42—24no—
576C42—44no—
577C42—68no—
578C42—64no—
579C42—62no—
580C42—64no—
581C42C2×D1218yes—
582C22×C3—22no—
583C22×C3—22no—
584C22×C3—22no—
585C22×C3—42no—
586C22×C3—42no—
587C22×C3C23×D411yescharacteristic
588C22×C3C22×#4112yes—
589C22×C3C2×2−1+411yescharacteristic
590C22×C3#58512yes—
591C22×C3#58511yescharacteristic
592C2×D3—24no—
593C2×D3—24no—
594C2×D3—24no—
595C2×D3—42no—
596C2×D3—42no—
597C2×D3—42no—
598C2×D3—42no—
599C2×D3—41no—
600C2×D3—41no—
601C2×D3—42no—
602C2×D3—41no—
603C2×D3—42no—
604C3×C4—22no—
605C3×C4—24no—
606C3×C4—24no—
607C3×C4—42no—
608C3×C4—44no—
609C3×C4—42no—
610C3×C4#52514yes—
611Dic3—24no—
612Dic3—22no—
613Dic3—42no—
614Dic3—41no—
615Dic3—42no—
616Dic3—44no—
617Dic3—41no—
618C23—22no—
619C23—22no—
620C23—21no—
621C23—21no—
622C23—34no—
623C23—62no—
624C23—62no—
625C23—62no—
626C23—62no—
627C23—62no—
628C23—62no—
629C23—61no—
630C23—62no—
631C23—62no—
632C23—61no—
633C23—61no—
634C23C22×D1212yes—
635C23C24×D311yescharacteristic
636Q8—68no—
637Q8—128no—
638Q8—124no—
639D4—68no—
640D4—616no—
641D4—128no—
642D4—124no—
643C2×C4—22no—
644C2×C4—24no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—28no—
648C2×C4—22no—
649C2×C4—22no—
650C2×C4—24no—
651C2×C4—22no—
652C2×C4—24no—
653C2×C4—22no—
654C2×C4—24no—
655C2×C4—22no—
656C2×C4—22no—
657C2×C4—34no—
658C2×C4—32no—
659C2×C4—61no—
660C2×C4—62no—
661C2×C4—62no—
662C2×C4—61no—
663C2×C4—616no—
664C2×C4—61no—
665C2×C4—61no—
666C2×C4—62no—
667C2×C4—62no—
668C2×C4—64no—
669C2×C4—62no—
670C2×C4—64no—
671C2×C4—62no—
672C2×C4—64no—
673C2×C4—64no—
674C2×C4—62no—
675C2×C4—62no—
676C2×C4—124no—
677C2×C4—248no—
678C2×C4—244no—
679C2×C4C22×D1214yes—
680C2×C4C22×D1214yes—
681C2×C4C22×D1212yes—
682C2×C4C22×D1212yes—
683C2×C4D3×#4114yes—
684C2×C3—42no—
685C2×C3C2×#52511yescharacteristic
686C2×C3#348911yescharacteristic
687C2×C3#349312yes—
688C2×C3#350011yescharacteristic
689C2×C3#350712yes—
690D3—44no—
691D3—81no—
692C22—22no—
693C22—22no—
694C22—22no—
695C22—42no—
696C22—42no—
697C22—64no—
698C22—64no—
699C22—64no—
700C22—122no—
701C22—122no—
702C22—122no—
703C22—122no—
704C22—122no—
705C22—121no—
706C22—121no—
707C22—122no—
708C22—121no—
709C22C23×D1211yescharacteristic
710C22C2×D3×#4112yes—
711C22#596412yes—
712C22#596611yescharacteristic
713C22D3×2−1+411yescharacteristic
714C4—24no—
715C4—24no—
716C4—22no—
717C4—42no—
718C4—42no—
719C4—44no—
720C4—62no—
721C4—64no—
722C4—124no—
723C4—121no—
724C4—122no—
725C4—121no—
726C4—122no—
727C4#552414yes—
728C3#3575911yescharacteristic, complemented, Sylow
729C2—42no—
730C2—124no—
731C2—241no—
732C2C2×#552411yescharacteristic
733C2#8584711yescharacteristic
734C2#8590111yescharacteristic
735C2#8686312yes—
736C2#8697212yes—
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2346C2
prime radical#73580C2
hypercenter#2346D3
hypocenterC3#35759
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2346

Complements

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

NH ≅ G/Ntype
1. C2×#5533C2semidirect
2. C2×#5523C2semidirect
3. C3×#2346C2semidirect
4. #76210C2semidirect
5. #75997C2semidirect
6. #75516C2semidirect
7. #75507C2semidirect
8. #74245C2semidirect
9. #74191C2semidirect
10. #74028C2semidirect
11. #73950C2semidirect
12. #73773C2semidirect
13. #73771C2semidirect
15. #73518C2semidirect
16. #73419C2semidirect
17. #73403C2semidirect
102. #2346D3semidirect
117. C3×#117D4semidirect
373. #117D12semidirect
728. C3#35759semidirect

Maximal subgroups

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

subgroupindex
C2×#55332
C2×#55232
C3×#23462
#762102
#759972
#755162
#755072
#742452
#741912
#740282
#739502
#737732
#737712
#735802
#735182
#734192
#734032
#357593