Finite Group Databasebeta

← #11001128

Subgroups — #11001128

Order 768.

3902 conjugacy classes of subgroups.

The subgroup lattice has 716 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#525C211yesmaximal, characteristic, complemented
2C2×#5832C211yesmaximal, characteristic, complemented
3C2×#5791C211yesmaximal, characteristic, complemented
4C23×C4×Dic3C211yesmaximal, characteristic, complemented
5#84086C211yesmaximal, characteristic, complemented
6#82891C214yesmaximal, complemented
7#82811C212yesmaximal, complemented
8#82809C212yesmaximal, complemented
9#82700C212yesmaximal, complemented
10#82698C212yesmaximal, complemented
11#82601C214yesmaximal, complemented
12C4×#939C218yesmaximal, complemented
13#82228C211yesmaximal, characteristic, complemented
14#82224C211yesmaximal, characteristic, complemented
15#36624—31nomaximal, Sylow
16C22×C3×#41C2211yescharacteristic
17C24×C3×C4C2211yescharacteristic
18C24×Dic3C2212yes—
19C22×#235C2211yescharacteristic
20C3×#525—28no—
21C2×C3×#123C2212yes—
22C2×C3×C22⋊Q8C2212yes—
23C2×C3×#121C2212yes—
24C2×C3×#120C2212yes—
25C2×C3×C4×D4C2214yes—
26C2×C3×#117C2211yescharacteristic
27C2×#953C2212yes—
28#5832—28no—
29C2×#947C2211yescharacteristic, complemented
30C2×#944C2211yescharacteristic, complemented
31C2×#940C2211yescharacteristic, complemented
32C2×#939C2218yes—
33C2×#939C2214yes—
34C2×#936C2211yescharacteristic, complemented
35#5791—28no—
36C2×#930C2212yes—
37C2×#929C2212yes—
38C2×C4×#67C2214yes—
39C2×C4×#67C2214yescomplemented
40C2×#926C2211yescharacteristic
41C2×#924C2212yes—
42C22×C4×Dic3—28no—
43C22×C4×Dic3C2212yes—
44C22×C4×Dic3C2212yes—
45C22×C4×Dic3C2211yescharacteristic
46C22×C4×Dic3C2214yes—
47C22×C4×Dic3C2212yes—
48C22×C4×Dic3C2211yescharacteristic
49#5229C2212yescomplemented
50#5221C2212yescomplemented
51#5220C2218yes—
52#5220C2214yes—
53C4×#217C2214yescomplemented
54#4990C2218yescomplemented
55#4988C2212yescomplemented
56#4977C2212yescomplemented
57#4976C2218yescomplemented
58#4975C2212yescomplemented
59#4973C2212yescomplemented
60#4958C2214yes—
61#4958C2218yes—
62#4957C2218yescomplemented
63#4945C2218yescomplemented
64#4942C2214yes—
65#4942C2218yes—
66C4×(C2×D3)⋊C4C2214yescomplemented
67C4×Dic3⋊C4C2214yescomplemented
68C2×#532—31no—
69C2×#525—31no—
70C2×#525D311yescharacteristic, complemented
71C23×C42—31no—
72#2857—32no—
73#2856—32no—
74#2854—34no—
75#2850—32no—
76#2850—32no—
77#2847—34no—
78C4×#121—38no—
79#2297—31no—
80#2297—31no—
81#2285—31no—
82C25×C3C2311yescharacteristic
83C2×C3×#41—24no—
84C2×C3×#41—24no—
85C2×C3×#41—24no—
86C22×C3×Q8C2311yescharacteristic
87C22×C3×D4C2312yes—
88C22×C3×D4C2311yescharacteristic
89C22×C3×D4C2314yes—
90C23×C3×C4—24no—
91C23×C3×C4—24no—
92C23×C3×C4D418yescomplemented
93C23×C3×C4C2312yes—
94C23×C3×C4C2312yes—
95C23×C3×C4C2312yes—
96C23×C3×C4C2311yescharacteristic
97C23×C3×C4C2311yescharacteristic
98C22×#67C2312yes—
99C22×#67C2314yes—
100C22×#67C2314yes—
101C23×Dic3—28no—
102C23×Dic3—216no—
103C23×Dic3C2312yes—
104C23×Dic3C2314yes—
105C23×Dic3C2312yes—
106C23×Dic3C2314yes—
107C2×#235—24no—
108C2×#235—24no—
109C2×#235—24no—
110C22×D12C2311yescharacteristic
111C22×C4×D3C2312yes—
112C22×Dic6C2311yescharacteristic
113C3×#123—28no—
114C3×C22⋊Q8—28no—
115C3×#121—28no—
116C3×#120—28no—
117C3×C4×D4—216no—
118C3×#117—24no—
119C2×C3×C4⋊C4C2312yes—
120C2×C3×C4⋊C4C2314yes—
121C2×C3×C22⋊C4C2312yes—
122C2×C3×C22⋊C4C2314yes—
123C2×C3×C22⋊C4C2314yes—
124C2×C3×C42C2312yes—
125#953—28no—
126C2×#217C2314yes—
127C2×#217C2312yes—
128C2×#217C2314yes—
129C2×#217C2318yes—
130#947—24no—
131#944—24no—
132#940—24no—
133#939—216no—
134#939—232no—
135#936—24no—
136#930—28no—
137#929—28no—
138C4×#67—216no—
139C4×#67—216no—
140C2×(C2×D3)⋊C4C2318yes—
141C2×(C2×D3)⋊C4C2314yes—
142C2×(C2×D3)⋊C4C2314yes—
143#926—24no—
144C2×C4⋊Dic3C2312yes—
145#924—28no—
146C2×Dic3⋊C4C2318yes—
147C2×Dic3⋊C4C2314yes—
148C2×Dic3⋊C4C2314yes—
149C2×C4×Dic3—24no—
150C2×C4×Dic3—28no—
151C2×C4×Dic3—216no—
152C2×C4×Dic3—28no—
153C2×C4×Dic3—28no—
154C2×C4×Dic3D418yescomplemented
155C2×C4×Dic3C2312yes—
156C2×C4×Dic3C2312yes—
157C2×C4×Dic3C2314yes—
158C2×C4×Dic3C2314yes—
159C2×C4×Dic3C2312yes—
160C2×C4×Dic3C2312yes—
161C2×C4×Dic3C2311yescharacteristic
162C2×C4×Dic3C2311yescharacteristic
163C3⋊#95C2318yes—
164C3⋊#95C2318yes—
165C3⋊#95C2318yes—
166C22×#41—31no—
167C22×#41C2×D311yescharacteristic
168C24×C4—32no—
169C24×C4C2×D311yescharacteristic
170#532—68no—
171C2×C4⋊Q8—31no—
172C2×#127—31no—
173C2×#124—31no—
174C2×#124—31no—
175#525—28no—
176#525—68no—
177C2×#123—32no—
178C2×#123C2×D312yes—
179C2×C22⋊Q8—32no—
180C2×C22⋊Q8C2×D312yes—
181C2×#121—34no—
182C2×#121—38no—
183C2×#121—32no—
184C2×#121C2×D312yes—
185C2×#120—32no—
186C2×#120C2×D312yes—
187C2×C4×D4—34no—
188C2×C4×D4—34no—
189C2×C4×D4C2×D314yes—
190C2×#117—31no—
191C2×#117C2×D311yescharacteristic
192C22×C42—31no—
193C22×C42—32no—
194C22×C42—32no—
195C22×C42—32no—
196C22×C42—31no—
197C22×C42—34no—
198C22×C42—68no—
199#391—32no—
200#391—32no—
201#390—32no—
202#390—32no—
203#390—38no—
204#389—38no—
205#388—38no—
206#388—38no—
207#386—38no—
208#386—34no—
209#386—38no—
210#386—34no—
211#384—32no—
212#382—32no—
213#380—34no—
214#380—38no—
215C4×C4⋊C4—34no—
216C4×C22⋊C4—34no—
217C4×C22⋊C4—34no—
218C24×C3—22no—
219C24×C3—28no—
220C24×C3—22no—
221C24×C3C2×D414yes—
222C24×C3C2412yes—
223C24×C3C2411yescharacteristic
224C24×C3C2412yes—
225C23×D3C2412yes—
226C3×#41—416no—
227C2×C3×Q8—22no—
228C2×C3×Q8—22no—
229C2×C3×Q8—22no—
230C2×C3×D4—24no—
231C2×C3×D4—28no—
232C2×C3×D4—24no—
233C2×C3×D4—216no—
234C2×C3×D4—24no—
235C2×C3×D4—22no—
236C2×C3×D4—22no—
237C2×C3×D4—22no—
238C22×C3×C4—22no—
239C22×C3×C4—22no—
240C22×C3×C4—232no—
241C22×C3×C4—24no—
242C22×C3×C4—24no—
243C22×C3×C4—24no—
244C22×C3×C4—24no—
245C22×C3×C4—24no—
246C22×C3×C4—24no—
247C22×C3×C4—24no—
248C22×C3×C4C2×D414yes—
249C22×C3×C4C2×D418yes—
250C22×C3×C4C2×D418yes—
251C22×C3×C4C2×D414yes—
252C22×C3×C4C2×D414yes—
253C22×C3×C4#4114yes—
254C22×C3×C4C2414yes—
255C22×C3×C4C2412yes—
256C22×C3×C4C2412yes—
257C22×C3×C4C2411yescharacteristic
258C22×C3×C4C2411yescharacteristic
259C2×#67—28no—
260C2×#67—24no—
261C2×#67—24no—
262C2×#67—216no—
263C2×#67—24no—
264C2×#67—28no—
265C2×#67—216no—
266C22×Dic3—264no—
267C22×Dic3—24no—
268C22×Dic3—28no—
269C22×Dic3—28no—
270C22×Dic3—28no—
271C22×Dic3—28no—
272C22×Dic3—28no—
273C22×Dic3—28no—
274C22×Dic3—28no—
275C22×Dic3C2×D418yes—
276C22×Dic3#41116yescomplemented
277C22×Dic3C2414yes—
278C22×Dic3C2412yes—
279C22×Dic3C2412yes—
280C22×Dic3C2414yes—
281C22×Dic3C2412yes—
282#235—416no—
283C2×D12—22no—
284C2×D12—22no—
285C2×D12—22no—
286C2×C4×D3—24no—
287C2×C4×D3—24no—
288C2×C4×D3—24no—
289C2×Dic6—22no—
290C2×Dic6—22no—
291C2×Dic6—22no—
292C3×C4⋊C4—24no—
293C3×C4⋊C4—28no—
294C3×C22⋊C4—24no—
295C3×C22⋊C4—28no—
296C3×C22⋊C4—28no—
297C3×C42—24no—
298#217—28no—
299#217—24no—
300#217—28no—
301#217—216no—
302(C2×D3)⋊C4—28no—
303(C2×D3)⋊C4—28no—
304(C2×D3)⋊C4—216no—
305C4⋊Dic3—24no—
306Dic3⋊C4—28no—
307Dic3⋊C4—28no—
308Dic3⋊C4—216no—
309C4×Dic3—24no—
310C4×Dic3—24no—
311C4×Dic3—24no—
312C4×Dic3—28no—
313C4×Dic3—28no—
314C4×Dic3C2×D418yes—
315C4×Dic3C2×D414yes—
316C4×Dic3C2×D414yes—
317C25C22×D311yescharacteristic
318C2×#41—24no—
319C2×#41—24no—
320C2×#41—24no—
321C2×#41—64no—
322C2×#41—64no—
323C2×#41—64no—
324C22×Q8—31no—
325C22×Q8C22×D311yescharacteristic
326C22×D4—34no—
327C22×D4—34no—
328C22×D4—32no—
329C22×D4—31no—
330C22×D4C22×D314yes—
331C22×D4C22×D312yes—
332C22×D4C22×D311yescharacteristic
333C23×C4—24no—
334C23×C4—24no—
335C23×C4—32no—
336C23×C4—34no—
337C23×C4—34no—
338C23×C4—32no—
339C23×C4—32no—
340C23×C4—616no—
341C23×C4—68no—
342C23×C4#6718yescomplemented
343C23×C4C22×D312yes—
344C23×C4C22×D312yes—
345C23×C4C22×D311yescharacteristic
346C23×C4C22×D312yes—
347C23×C4C22×D311yescharacteristic
348C4⋊Q8—64no—
349#127—64no—
350#124—64no—
351#124—64no—
352#123—28no—
353#123—68no—
354C22⋊Q8—28no—
355C22⋊Q8—68no—
356#121—28no—
357#121—616no—
358#121—632no—
359#121—68no—
360#120—28no—
361#120—68no—
362C4×D4—216no—
363C4×D4—616no—
364C4×D4—616no—
365#117—24no—
366#117—64no—
367C2×C4⋊C4—32no—
368C2×C4⋊C4—34no—
369C2×C4⋊C4—34no—
370C2×C4⋊C4—38no—
371C2×C4⋊C4C22×D312yes—
372C2×C4⋊C4C22×D314yes—
373C2×C22⋊C4—32no—
374C2×C22⋊C4—34no—
375C2×C22⋊C4—34no—
376C2×C22⋊C4—38no—
377C2×C22⋊C4—34no—
378C2×C22⋊C4—34no—
379C2×C22⋊C4—38no—
380C2×C22⋊C4C22×D312yes—
381C2×C22⋊C4C22×D314yes—
382C2×C22⋊C4C22×D314yes—
383C2×C42—38no—
384C2×C42—31no—
385C2×C42—31no—
386C2×C42—32no—
387C2×C42—34no—
388C2×C42—34no—
389C2×C42—32no—
390C2×C42—32no—
391C2×C42—32no—
392C2×C42—616no—
393C2×C42—68no—
394C2×C42—68no—
395C2×C42—68no—
396C2×C42—64no—
397C2×C42C22×D312yes—
398#95—38no—
399#95—38no—
400#95—38no—
401C23×C3—216no—
402C23×C3—216no—
403C23×C3—28no—
404C23×C3—216no—
405C23×C3—22no—
406C23×C3—24no—
407C23×C3—24no—
408C23×C3—22no—
409C23×C3—22no—
410C23×C3—22no—
411C23×C3—28no—
412C23×C3—22no—
413C23×C3C22×D412yes—
414C23×C3C22×D412yes—
415C23×C3C22×D414yes—
416C23×C3C2×#4112yes—
417C23×C3C2×#4118yes—
418C23×C3C2511yescharacteristic
419C22×D3—22no—
420C22×D3—22no—
421C22×D3—28no—
422C22×D3—22no—
423C3×Q8—44no—
424C3×D4—48no—
425C3×D4—416no—
426C3×D4—44no—
427C2×C3×C4—28no—
428C2×C3×C4—22no—
429C2×C3×C4—22no—
430C2×C3×C4—216no—
431C2×C3×C4—216no—
432C2×C3×C4—22no—
433C2×C3×C4—24no—
434C2×C3×C4—22no—
435C2×C3×C4—28no—
436C2×C3×C4—22no—
437C2×C3×C4—48no—
438C2×C3×C4#121116yescomplemented
439C2×C3×C4C22×D412yes—
440C2×C3×C4C22×D412yes—
441C2×C3×C4C22×D414yes—
442C2×C3×C4C22×D412yes—
443C2×C3×C4C22×D412yes—
444C2×C3×C4C2×#4112yes—
445C2×C3×C4C2×#4112yes—
446#67—48no—
447#67—416no—
448#67—416no—
449C2×Dic3—232no—
450C2×Dic3—216no—
451C2×Dic3—24no—
452C2×Dic3—24no—
453C2×Dic3—24no—
454C2×Dic3—216no—
455C2×Dic3—232no—
456C2×Dic3—24no—
457C2×Dic3—22no—
458C2×Dic3—22no—
459C2×Dic3—28no—
460C2×Dic3—22no—
461C2×Dic3C22×D414yes—
462C2×Dic3C22×D414yes—
463C2×Dic3C2×#4118yes—
464C2×Dic3C2×#4118yes—
465D12—44no—
466C4×D3—48no—
467Dic6—44no—
468C24—22no—
469C24—22no—
470C24—28no—
471C24—32no—
472C24C2×#6714yes—
473C24C23×D312yes—
474C24C23×D311yescharacteristic
475C24C23×D312yes—
476#41—416no—
477#41—1216no—
478C2×Q8—22no—
479C2×Q8—22no—
480C2×Q8—22no—
481C2×Q8—62no—
482C2×Q8—62no—
483C2×Q8—62no—
484C2×D4—24no—
485C2×D4—24no—
486C2×D4—216no—
487C2×D4—28no—
488C2×D4—24no—
489C2×D4—22no—
490C2×D4—22no—
491C2×D4—22no—
492C2×D4—68no—
493C2×D4—616no—
494C2×D4—64no—
495C2×D4—64no—
496C2×D4—616no—
497C2×D4—68no—
498C2×D4—64no—
499C2×D4—62no—
500C2×D4—62no—
501C2×D4—62no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—232no—
505C22×C4—24no—
506C22×C4—24no—
507C22×C4—24no—
508C22×C4—24no—
509C22×C4—24no—
510C22×C4—24no—
511C22×C4—24no—
512C22×C4—32no—
513C22×C4—38no—
514C22×C4—316no—
515C22×C4—32no—
516C22×C4—34no—
517C22×C4—34no—
518C22×C4—32no—
519C22×C4—68no—
520C22×C4—68no—
521C22×C4—68no—
522C22×C4—68no—
523C22×C4—68no—
524C22×C4—68no—
525C22×C4—664no—
526C22×C4—64no—
527C22×C4—68no—
528C22×C4—64no—
529C22×C4—64no—
530C22×C4—64no—
531C22×C4D3×D414yes—
532C22×C4#23714yes—
533C22×C4C2×#6718yes—
534C22×C4C2×#6718yes—
535C22×C4C2×#6714yes—
536C22×C4C2×#6714yes—
537C22×C4C23×D314yes—
538C22×C4C23×D312yes—
539C22×C4C23×D312yes—
540C22×C4C23×D311yescharacteristic
541C22×C4C23×D311yescharacteristic
542C4⋊C4—24no—
543C4⋊C4—28no—
544C4⋊C4—68no—
545C4⋊C4—616no—
546C4⋊C4—64no—
547C4⋊C4—68no—
548C22⋊C4—24no—
549C22⋊C4—28no—
550C22⋊C4—28no—
551C22⋊C4—68no—
552C22⋊C4—616no—
553C22⋊C4—68no—
554C22⋊C4—616no—
555C22⋊C4—64no—
556C22⋊C4—68no—
557C22⋊C4—68no—
558C42—24no—
559C42—38no—
560C42—34no—
561C42—34no—
562C42—68no—
563C42—68no—
564C42—64no—
565C42—64no—
566C42—64no—
567C22×C3—232no—
568C22×C3—24no—
569C22×C3—24no—
570C22×C3—28no—
571C22×C3—24no—
572C22×C3—24no—
573C22×C3—24no—
574C22×C3—28no—
575C22×C3—42no—
576C22×C3—44no—
577C22×C3—44no—
578C22×C3—44no—
579C22×C3C2×#12114yes—
580C22×C3#53218yescomplemented
581C22×C3C23×D411yescharacteristic
582C22×C3C23×D411yescharacteristic
583C22×C3C22×#4111yescharacteristic
584C22×C3C22×#4114yes—
585C2×D3—42no—
586C2×D3—44no—
587C2×D3—44no—
588C2×D3—44no—
589C3×C4—24no—
590C3×C4—42no—
591C3×C4—44no—
592C3×C4C2×#12114yes—
593C3×C4C2×#12114yes—
594Dic3—24no—
595Dic3—28no—
596Dic3—42no—
597Dic3—44no—
598Dic3#52518yescomplemented
599C23—216no—
600C23—216no—
601C23—22no—
602C23—22no—
603C23—24no—
604C23—24no—
605C23—28no—
606C23—216no—
607C23—22no—
608C23—22no—
609C23—28no—
610C23—22no—
611C23—62no—
612C23—62no—
613C23—68no—
614C23—62no—
615C23C2×D3×D412yes—
616C23C2×#23712yes—
617C23D3×#4118yes—
618C23C22×#6712yes—
619C23C22×#6714yes—
620C23C24×D311yescharacteristic
621Q8—44no—
622Q8—124no—
623D4—48no—
624D4—416no—
625D4—44no—
626D4—1216no—
627D4—128no—
628D4—1216no—
629D4—124no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—28no—
633C2×C4—216no—
634C2×C4—216no—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—28no—
638C2×C4—24no—
639C2×C4—22no—
640C2×C4—34no—
641C2×C4—38no—
642C2×C4—34no—
643C2×C4—38no—
644C2×C4—48no—
645C2×C4—616no—
646C2×C4—632no—
647C2×C4—616no—
648C2×C4—632no—
649C2×C4—64no—
650C2×C4—64no—
651C2×C4—64no—
652C2×C4—62no—
653C2×C4—62no—
654C2×C4—68no—
655C2×C4—64no—
656C2×C4—62no—
657C2×C4—128no—
658C2×C4#939116yescomplemented
659C2×C4C2×D3×D412yes—
660C2×C4C2×D3×D412yes—
661C2×C4C2×#23712yes—
662C2×C4C2×#23712yes—
663C2×C4C22×#6714yes—
664C2×C4C22×#6712yes—
665C2×C4C22×#6712yes—
666C2×C3—24no—
667C2×C3—28no—
668C2×C3—82no—
669C2×C3C22×#12111yescharacteristic
670C2×C3C2×#52512yes—
671C2×C3C2×#53212yes—
672C2×C3#344412yes—
673D3—82no—
674C22—232no—
675C22—24no—
676C22—28no—
677C22—24no—
678C22—28no—
679C22—24no—
680C22—24no—
681C22—24no—
682C22—44no—
683C22—44no—
684C22—42no—
685C22—44no—
686C22—124no—
687C22—124no—
688C22—122no—
689C22—124no—
690C22C2×#93914yes—
691C22#583218yescomplemented
692C22C22×D3×D411yescharacteristic
693C22C22×#23711yescharacteristic
694C22C2×D3×#4114yes—
695C22C23×#6711yescharacteristic
696C4—24no—
697C4—38no—
698C4—42no—
699C4—44no—
700C4—64no—
701C4—68no—
702C4—122no—
703C4—124no—
704C4C2×#93914yes—
705C4C2×#93914yes—
706C3#3662411yescharacteristic, complemented, Sylow
707C2—24no—
708C2—28no—
709C2—82no—
710C2—242no—
711C2#8601812yes—
712C2D3×#52512yes—
713C2C22×#93911yescharacteristic
714C2C2×#583212yes—
subgroupG/H
centerC22×C4C23×D3
commutator, socle, cosocleC23×C3C25
FrattiniC23C24×D3
FittingC2×C3×#525C2
hypercenterC2×#525D3
hypocenterC3#36624
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C22×C4 ◁ C2×#525

Complements

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

NH ≅ G/Ntype
1. C2×C3×#525C2semidirect
2. C2×#5832C2semidirect
3. C2×#5791C2semidirect
4. C23×C4×Dic3C2semidirect
5. #84086C2semidirect
6. #82891C2semidirect
7. #82811C2semidirect
8. #82809C2semidirect
9. #82700C2semidirect
10. #82698C2semidirect
11. #82601C2semidirect
12. C4×#939C2semidirect
13. #82228C2semidirect
14. #82224C2semidirect
29. C2×#947C22semidirect
30. C2×#944C22semidirect
31. C2×#940C22semidirect
34. C2×#936C22semidirect
39. C2×C4×#67C22semidirect
49. #5229C22semidirect
50. #5221C22semidirect
53. C4×#217C22semidirect
54. #4990C22semidirect
55. #4988C22semidirect
56. #4977C22semidirect
57. #4976C22semidirect
58. #4975C22semidirect
59. #4973C22semidirect
62. #4957C22semidirect
63. #4945C22semidirect
66. C4×(C2×D3)⋊C4C22semidirect
67. C4×Dic3⋊C4C22semidirect
70. C2×#525D3semidirect
92. C23×C3×C4D4semidirect
154. C2×C4×Dic3D4semidirect
276. C22×Dic3#41semidirect
342. C23×C4#67semidirect
438. C2×C3×C4#121semidirect
580. C22×C3#532semidirect
598. Dic3#525semidirect
658. C2×C4#939semidirect
691. C22#5832semidirect
706. C3#36624semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#5252
C2×#58322
C2×#57912
C23×C4×Dic32
#840862
#828912
#828112
#828092
#827002
#826982
#826012
C4×#9392
#822282
#822242
#366243