Finite Group Databasebeta

← #10823518

Subgroups — #10823518

Order 768.

1122 conjugacy classes of subgroups.

The subgroup lattice has 742 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5534C211yesmaximal, characteristic
2#82235C211yesmaximal, characteristic, complemented
3C2×#4716C211yesmaximal, characteristic, complemented
4C2×C4×#204C211yesmaximal, characteristic, complemented
5C3×#1750C211yesmaximal, characteristic, complemented
6#69964C211yesmaximal, characteristic, complemented
7#69962C211yesmaximal, characteristic
8#69936C211yesmaximal, characteristic, complemented
9#69935C211yesmaximal, characteristic
10#69812C211yesmaximal, characteristic, complemented
11C4×#816C211yesmaximal, characteristic, complemented
12#68689C211yesmaximal, characteristic, complemented
13#68677C211yesmaximal, characteristic, complemented
14#68633C211yesmaximal, characteristic, complemented
15#68630C211yesmaximal, characteristic, complemented
16#23581—31nomaximal, Sylow
17C2×C3×#117C2211yescharacteristic
18C2×#930C2211yescharacteristic
19C2×#924C2211yescharacteristic
20C2×#924C2211yescharacteristic
21C22×Dic12C2211yescharacteristic
22C22×#204C2211yescharacteristic
23#5534—24no—
24#5534—24no—
25C2×#898—21no—
26C2×#896—21no—
27C2×#885—21no—
28C2×#883—21no—
29C2×#875C2211yescharacteristic
30C2×C4×D12C2211yescharacteristic
31C2×#869C2211yescharacteristic
32C2×C4×Dic6C2211yescharacteristic
33C2×C4×Dic6C2211yescharacteristic
34C2×C3×C22⋊C8C2211yescharacteristic
35C2×C3×C22⋊C8C2211yescharacteristic
36C2×C3×#97C2211yescharacteristic
37C2×C3×C4×C8C2211yescharacteristic
38#5212C2211yescharacteristic
39C2×#821C2211yescharacteristic
40C2×#821C2211yescharacteristic
41C2×#821C2211yescharacteristic
42C2×#817C2211yescharacteristic
43C2×#817C2211yescharacteristic
44C2×#816C2211yescharacteristic
45C2×#816C2211yescharacteristic
46C2×#816C2211yescharacteristic
47C2×#816C2211yescharacteristic
48C2×#816C2211yescharacteristic
49#4978—21no—
50#4976—21no—
51#4945—21no—
52#4944—21no—
53C4×C4⋊Dic3C2211yescharacteristic
54#4929C2211yescharacteristic
55#4928C2211yescharacteristic
56#4716—24no—
57C4×#204—24no—
58C3×#336C2211yescharacteristic
59C3×#336C2211yescharacteristic
60#4551C2211yescharacteristic
61#4551C2211yescharacteristic
62#4551C2211yescharacteristic
63#4551C2211yescharacteristic
64C2×#542—31no—
65C2×#441—31no—
66C2×C4×SD16—31no—
67#2323—31no—
68#2058—31no—
69#2042—31no—
70#2035—31no—
71#2034—31no—
72#2024—31no—
73#2015—31no—
74#2001—31no—
75#2000—31no—
76#1762—31no—
77C4×#103—31no—
78#1750D311yescharacteristic, complemented
79C23×C3×C4C2311yescharacteristic
80C22×#67—21no—
81C22×D12C2311yescharacteristic
82C22×C4×D3—21no—
83C22×Dic6—21no—
84C22×Dic6C2311yescharacteristic
85C22×Dic6C2311yescharacteristic
86C22×C3×C8C2311yescharacteristic
87C22×C3×C8C2311yescharacteristic
88C22×C3×C8C2311yescharacteristic
89C22×C3×C8C2311yescharacteristic
90C3×#117—22no—
91C3×#117—22no—
92C2×C3×C4⋊C4D411yescharacteristic
93C2×C3×C4⋊C4D411yescharacteristic
94C2×C3×C22⋊C4D411yescharacteristic
95C2×C3×C22⋊C4D411yescharacteristic
96C2×C3×C42C2311yescharacteristic
97C2×C3×C42C2311yescharacteristic
98C2×#217—21no—
99C2×#217—21no—
100C2×#217—21no—
101#930—22no—
102#930—22no—
103C2×(C2×D3)⋊C4—21no—
104C2×(C2×D3)⋊C4—21no—
105C2×(C2×D3)⋊C4—21no—
106C2×(C2×D3)⋊C4—21no—
107C2×C4⋊Dic3—21no—
108C2×C4⋊Dic3C2311yescharacteristic
109C2×C4⋊Dic3C2311yescharacteristic
110C2×C4⋊Dic3C2311yescharacteristic
111C2×C4⋊Dic3C2311yescharacteristic
112C2×C4⋊Dic3C2311yescharacteristic
113#924—22no—
114#924—22no—
115#924—22no—
116#924—22no—
117C2×Dic3⋊C4—21no—
118C2×Dic3⋊C4—21no—
119C2×Dic3⋊C4—21no—
120C2×Dic3⋊C4—21no—
121C2×Dic3⋊C4—21no—
122C2×C4×Dic3—21no—
123C2×C4×Dic3—21no—
124C2×C4×Dic3—21no—
125C2×Dic12—22no—
126C2×Dic12—22no—
127C2×Dic12—22no—
128C2×#204—22no—
129C2×#204—22no—
130C2×#204—22no—
131#898—28no—
132#896—28no—
133#885—28no—
134#883—28no—
135#875—22no—
136#875—22no—
137C4×D12—22no—
138C4×D12D414yes—
139#869—22no—
140#869—22no—
141C4×Dic6—22no—
142C4×Dic6—22no—
143C4×Dic6—22no—
144C4×Dic6D414yes—
145C3×C22⋊C8—22no—
146C3×C22⋊C8—22no—
147C3×#97—22no—
148C3×C4×C8—22no—
149C3⋊#95—21no—
150C3⋊#95—21no—
151C3⋊#95—21no—
152C3⋊#95—21no—
153C3⋊#95—21no—
154#821—22no—
155#821—22no—
156#821—22no—
157#817—22no—
158#817—22no—
159#816—22no—
160#816—22no—
161#816—22no—
162#816—22no—
163#816—22no—
164C22×Q16—31no—
165C22×SD16—31no—
166#542—64no—
167#542—64no—
168C2×C4⋊Q8—31no—
169C2×#126—61no—
170C2×#124—31no—
171C2×#124—61no—
172C2×#123—61no—
173C2×C22⋊Q8—31no—
174C2×C22⋊Q8—31no—
175C2×C22⋊Q8—61no—
176C2×#121—31no—
177C2×C4×Q8—31no—
178C2×C4×Q8—31no—
179C2×C4×D4—31no—
180C2×#117C2×D311yescharacteristic
181#441—64no—
182C4×SD16—64no—
183C2×#106—31no—
184C2×#106—31no—
185C2×#103—31no—
186C2×#103—31no—
187C2×#103—31no—
188C2×#103—31no—
189C2×#103—31no—
190C2×#102—31no—
191C2×#102—31no—
192C2×#102—31no—
193C2×C22⋊C8C2×D311yescharacteristic
194C2×C22⋊C8C2×D311yescharacteristic
195C2×#97C2×D311yescharacteristic
196C2×C4×C8C2×D311yescharacteristic
197#391—31no—
198#389—31no—
199#389—61no—
200#388—61no—
201#388—61no—
202#387—61no—
203#380—31no—
204C4×C4⋊C4—31no—
205#340—31no—
206#340—31no—
207#340—31no—
208#340—31no—
209#336C2×D311yescharacteristic
210#336C2×D311yescharacteristic
211C24×C3C2×D411yescharacteristic
212C23×D3—21no—
213C22×C3×C4—21no—
214C22×C3×C4—21no—
215C22×C3×C4—21no—
216C22×C3×C4—21no—
217C22×C3×C4—21no—
218C22×C3×C4—21no—
219C22×C3×C4C2×D411yescharacteristic
220C22×C3×C4C2×D411yescharacteristic
221C22×C3×C4C2×D411yescharacteristic
222C22×C3×C4C2×D411yescharacteristic
223C22×C3×C4C2×D411yescharacteristic
224C22×C3×C4C2411yescharacteristic
225C2×#67—24no—
226C2×#67—81no—
227C2×#67—81no—
228C22×Dic3—21no—
229C22×Dic3—21no—
230C22×Dic3—21no—
231C22×Dic3—21no—
232C22×Dic3—21no—
233C22×Dic3—21no—
234C22×Dic3—21no—
235C2×D12—21no—
236C2×D12—21no—
237C2×D12—21no—
238C2×D12—21no—
239C2×D12—21no—
240C2×D12C2×D412yes—
241C2×C4×D3—24no—
242C2×C4×D3—81no—
243C2×C4×D3—81no—
244C2×Dic6—21no—
245C2×Dic6—21no—
246C2×Dic6—21no—
247C2×Dic6—21no—
248C2×Dic6—21no—
249C2×Dic6—21no—
250C2×Dic6—21no—
251C2×Dic6—21no—
252C2×Dic6—21no—
253C2×Dic6—21no—
254C2×Dic6—24no—
255C2×Dic6—81no—
256C2×Dic6—81no—
257C2×Dic6C2×D412yes—
258C2×Dic6#4112yes—
259C2×C3×C8—21no—
260C2×C3×C8—21no—
261C2×C3×C8—21no—
262C2×C3×C8—21no—
263C2×C3×C8—21no—
264C2×C3×C8—21no—
265C2×C3×C8—21no—
266C2×C3×C8—21no—
267C2×C3×C8—21no—
268C2×C3×C8—21no—
269C2×C3×C8#4112yes—
270C2×C3×C8#4112yes—
271C3×C4⋊C4—22no—
272C3×C4⋊C4—22no—
273C3×C22⋊C4—22no—
274C3×C22⋊C4—22no—
275C3×C42—21no—
276C3×C42—21no—
277C3×C42C2×D412yes—
278C3×C42C2×D412yes—
279#217—24no—
280#217—24no—
281#217—81no—
282(C2×D3)⋊C4—24no—
283(C2×D3)⋊C4—24no—
284(C2×D3)⋊C4—24no—
285(C2×D3)⋊C4—24no—
286C4⋊Dic3—24no—
287C4⋊Dic3—21no—
288C4⋊Dic3—21no—
289C4⋊Dic3—21no—
290C4⋊Dic3—21no—
291C4⋊Dic3—21no—
292C4⋊Dic3—21no—
293C4⋊Dic3—21no—
294C4⋊Dic3C2×D412yes—
295C4⋊Dic3C2×D412yes—
296C4⋊Dic3#4112yes—
297Dic3⋊C4—24no—
298Dic3⋊C4—24no—
299Dic3⋊C4—24no—
300Dic3⋊C4—42no—
301Dic3⋊C4—81no—
302C4×Dic3—24no—
303C4×Dic3—42no—
304C4×Dic3—81no—
305Dic12—28no—
306#204—28no—
307C22×Q8—31no—
308C22×Q8—31no—
309C22×Q8—61no—
310C22×D4—31no—
311C22×D4—61no—
312C23×C4—61no—
313C23×C4C22×D311yescharacteristic
314C2×Q16—62no—
315C2×Q16—62no—
316C2×Q16—62no—
317C2×SD16—62no—
318C2×SD16—62no—
319C2×SD16—62no—
320C22×C8C22×D311yescharacteristic
321C22×C8C22×D311yescharacteristic
322C22×C8C22×D311yescharacteristic
323C22×C8C22×D311yescharacteristic
324C4⋊Q8—62no—
325C4⋊Q8—62no—
326#126—68no—
327#124—62no—
328#124—62no—
329#124—68no—
330#123—68no—
331C22⋊Q8—68no—
332C22⋊Q8—62no—
333C22⋊Q8—62no—
334C22⋊Q8—62no—
335C22⋊Q8—62no—
336#121—62no—
337#121—62no—
338C4×Q8—34no—
339C4×Q8—62no—
340C4×Q8—62no—
341C4×Q8—62no—
342C4×D4—34no—
343C4×D4—62no—
344#117—22no—
345#117—22no—
346C2×C4⋊C4—31no—
347C2×C4⋊C4—31no—
348C2×C4⋊C4—31no—
349C2×C4⋊C4—31no—
350C2×C4⋊C4—31no—
351C2×C4⋊C4—61no—
352C2×C4⋊C4—61no—
353C2×C4⋊C4—61no—
354C2×C4⋊C4—61no—
355C2×C4⋊C4—61no—
356C2×C4⋊C4—61no—
357C2×C4⋊C4D1211yescharacteristic
358C2×C4⋊C4D1211yescharacteristic
359C2×C22⋊C4—61no—
360C2×C22⋊C4—61no—
361C2×C22⋊C4—61no—
362C2×C22⋊C4—61no—
363C2×C22⋊C4—61no—
364C2×C22⋊C4—61no—
365C2×C22⋊C4—61no—
366C2×C22⋊C4D1211yescharacteristic
367C2×C22⋊C4D1211yescharacteristic
368C2×C42—61no—
369C2×C42—61no—
370C2×C42—61no—
371C2×C42C22×D311yescharacteristic
372C2×C42C22×D311yescharacteristic
373#106—62no—
374#106—62no—
375#103—62no—
376#103—62no—
377#103—62no—
378#103—62no—
379#103—62no—
380#102—62no—
381#102—62no—
382#102—62no—
383C22⋊C8—22no—
384C22⋊C8—22no—
385#97—22no—
386C4×C8—22no—
387#95—61no—
388#95—61no—
389#95—61no—
390#95—61no—
391#95—61no—
392C23×C3—21no—
393C23×C3—21no—
394C23×C3—21no—
395C23×C3—21no—
396C23×C3—21no—
397C23×C3—21no—
398C23×C3—21no—
399C23×C3C22×D411yescharacteristic
400C22×D3—22no—
401C22×D3—41no—
402C22×D3—41no—
403C22×D3—41no—
404C22×D3—41no—
405C22×D3—41no—
406C22×D3—41no—
407C2×C3×C4—21no—
408C2×C3×C4—21no—
409C2×C3×C4—21no—
410C2×C3×C4—21no—
411C2×C3×C4—21no—
412C2×C3×C4—21no—
413C2×C3×C4—21no—
414C2×C3×C4—21no—
415C2×C3×C4—21no—
416C2×C3×C4—21no—
417C2×C3×C4—21no—
418C2×C3×C4—21no—
419C2×C3×C4—21no—
420C2×C3×C4—41no—
421C2×C3×C4—41no—
422C2×C3×C4—41no—
423C2×C3×C4—41no—
424C2×C3×C4#12012yes—
425C2×C3×C4#12012yes—
426C2×C3×C4C22×D411yescharacteristic
427C2×C3×C4C22×D411yescharacteristic
428C2×C3×C4C2×#4111yescharacteristic
429C2×C3×C4C2×#4111yescharacteristic
430C2×C3×C4C2×#4111yescharacteristic
431C2×C3×C4C2×#4111yescharacteristic
432#67—84no—
433C2×Dic3—22no—
434C2×Dic3—22no—
435C2×Dic3—22no—
436C2×Dic3—22no—
437C2×Dic3—22no—
438C2×Dic3—41no—
439C2×Dic3—41no—
440C2×Dic3—41no—
441C2×Dic3—41no—
442C2×Dic3—41no—
443C2×Dic3—41no—
444C2×Dic3—41no—
445C2×Dic3—41no—
446C2×Dic3—41no—
447C2×Dic3—41no—
448C2×Dic3—41no—
449C2×Dic3—41no—
450C2×Dic3—41no—
451C2×Dic3—41no—
452C2×Dic3—41no—
453C2×Dic3—41no—
454D12—22no—
455D12—22no—
456D12—41no—
457D12—41no—
458C4×D3—84no—
459Dic6—22no—
460Dic6—22no—
461Dic6—22no—
462Dic6—22no—
463Dic6—41no—
464Dic6—41no—
465Dic6—41no—
466Dic6—41no—
467Dic6—84no—
468C3×C8—22no—
469C3×C8—22no—
470C3×C8—41no—
471C3×C8—41no—
472C24—61no—
473C24C2×D1211yescharacteristic
474C2×Q8—32no—
475C2×Q8—32no—
476C2×Q8—64no—
477C2×Q8—61no—
478C2×Q8—61no—
479C2×Q8—61no—
480C2×Q8—61no—
481C2×Q8—61no—
482C2×Q8—61no—
483C2×Q8—61no—
484C2×Q8—61no—
485C2×Q8—61no—
486C2×Q8—61no—
487C2×Q8—241no—
488C2×Q8—241no—
489C2×D4—32no—
490C2×D4—64no—
491C2×D4—61no—
492C2×D4—61no—
493C2×D4—61no—
494C2×D4—61no—
495C2×D4—61no—
496C2×D4—241no—
497C2×D4—241no—
498C22×C4—21no—
499C22×C4—21no—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—61no—
505C22×C4—61no—
506C22×C4—61no—
507C22×C4—61no—
508C22×C4—61no—
509C22×C4—64no—
510C22×C4—61no—
511C22×C4—61no—
512C22×C4—241no—
513C22×C4—241no—
514C22×C4C2×D1211yescharacteristic
515C22×C4C2×D1211yescharacteristic
516C22×C4C2×D1211yescharacteristic
517C22×C4C2×D1211yescharacteristic
518C22×C4C2×D1211yescharacteristic
519C22×C4C23×D311yescharacteristic
520Q16—68no—
521SD16—68no—
522C2×C8—21no—
523C2×C8—21no—
524C2×C8—21no—
525C2×C8—21no—
526C2×C8—21no—
527C2×C8—21no—
528C2×C8—21no—
529C2×C8—21no—
530C2×C8—21no—
531C2×C8—21no—
532C2×C8#23512yes—
533C2×C8#23512yes—
534C4⋊C4—22no—
535C4⋊C4—22no—
536C4⋊C4—32no—
537C4⋊C4—32no—
538C4⋊C4—32no—
539C4⋊C4—64no—
540C4⋊C4—64no—
541C4⋊C4—64no—
542C4⋊C4—64no—
543C4⋊C4—61no—
544C4⋊C4—61no—
545C4⋊C4—61no—
546C4⋊C4—61no—
547C4⋊C4—61no—
548C4⋊C4—61no—
549C4⋊C4—61no—
550C4⋊C4—122no—
551C4⋊C4—241no—
552C22⋊C4—22no—
553C22⋊C4—22no—
554C22⋊C4—64no—
555C22⋊C4—64no—
556C22⋊C4—64no—
557C22⋊C4—64no—
558C22⋊C4—64no—
559C22⋊C4—64no—
560C22⋊C4—241no—
561C42—21no—
562C42—21no—
563C42—64no—
564C42—122no—
565C42—241no—
566C42D3×D412yes—
567C42D3×D412yes—
568C22×C3—41no—
569C22×C3—41no—
570C22×C3—41no—
571C22×C3—41no—
572C22×C3—41no—
573C22×C3—41no—
574C22×C3—41no—
575C22×C3C2×#12011yescharacteristic
576C22×C3#52511yescharacteristic
577C22×C3#53211yescharacteristic
578C22×C3#57711yescharacteristic
579C22×C3#57711yescharacteristic
580C22×C3#57711yescharacteristic
581C22×C3#57811yescharacteristic
582C2×D3—42no—
583C2×D3—42no—
584C2×D3—42no—
585C2×D3—81no—
586C2×D3—81no—
587C2×D3—81no—
588C2×D3—81no—
589C3×C4—22no—
590C3×C4—22no—
591C3×C4—41no—
592C3×C4—41no—
593C3×C4—41no—
594C3×C4#52511yescharacteristic
595C3×C4#52511yescharacteristic
596C3×C4#53211yescharacteristic
597C3×C4#53211yescharacteristic
598Dic3—42no—
599Dic3—42no—
600Dic3—42no—
601Dic3—42no—
602Dic3—42no—
603Dic3—81no—
604Dic3—81no—
605C23—21no—
606C23—21no—
607C23—21no—
608C23—21no—
609C23—21no—
610C23—21no—
611C23—21no—
612C23—62no—
613C23—121no—
614C23—121no—
615C23—121no—
616C23—121no—
617C23—121no—
618C23—121no—
619C23C22×D1211yescharacteristic
620Q8—62no—
621Q8—62no—
622Q8—62no—
623Q8—62no—
624Q8—121no—
625Q8—121no—
626Q8—121no—
627Q8—121no—
628Q8—244no—
629D4—62no—
630D4—62no—
631D4—121no—
632D4—121no—
633D4—244no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—21no—
645C2×C4—21no—
646C2×C4—21no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—62no—
652C2×C4—62no—
653C2×C4—62no—
654C2×C4—62no—
655C2×C4—62no—
656C2×C4—121no—
657C2×C4—121no—
658C2×C4—121no—
659C2×C4—121no—
660C2×C4—121no—
661C2×C4—121no—
662C2×C4—121no—
663C2×C4—121no—
664C2×C4—121no—
665C2×C4—121no—
666C2×C4—121no—
667C2×C4—121no—
668C2×C4—121no—
669C2×C4—121no—
670C2×C4—121no—
671C2×C4—121no—
672C2×C4—244no—
673C2×C4#88212yes—
674C2×C4#88212yes—
675C2×C4C2×#23511yescharacteristic
676C2×C4C2×#23511yescharacteristic
677C2×C4C2×D3×D411yescharacteristic
678C2×C4C2×D3×D411yescharacteristic
679C2×C4D3×#4111yescharacteristic
680C2×C4D3×#4111yescharacteristic
681C8—22no—
682C8—22no—
683C8—41no—
684C8—41no—
685C2×C3—81no—
686C2×C3#238811yescharacteristic
687C2×C3#300911yescharacteristic
688C2×C3#301311yescharacteristic
689C2×C3#312111yescharacteristic
690C2×C3#312511yescharacteristic
691C2×C3#317311yescharacteristic
692C2×C3#317811yescharacteristic
693D3—82no—
694C22—41no—
695C22—41no—
696C22—41no—
697C22—41no—
698C22—41no—
699C22—41no—
700C22—41no—
701C22—122no—
702C22—122no—
703C22—122no—
704C22—241no—
705C22—241no—
706C22—241no—
707C22—241no—
708C22#547711yescharacteristic
709C22C2×#88211yescharacteristic
710C22#552411yescharacteristic
711C22#575111yescharacteristic
712C22#575111yescharacteristic
713C22#575111yescharacteristic
714C22#575311yescharacteristic
715C4—22no—
716C4—22no—
717C4—41no—
718C4—41no—
719C4—41no—
720C4—122no—
721C4—122no—
722C4—122no—
723C4—122no—
724C4—122no—
725C4—241no—
726C4—241no—
727C4#554711yescharacteristic
728C4#554711yescharacteristic
729C4#554811yescharacteristic
730C4#554811yescharacteristic
731C3#2358111yescharacteristic, complemented, Sylow
732C2—81no—
733C2—242no—
734C2#7358011yescharacteristic
735C2#7856611yescharacteristic
736C2#7857011yescharacteristic
737C2#7867111yescharacteristic
738C2#7868011yescharacteristic
739C2#7938911yescharacteristic
740C2#7939411yescharacteristic
subgroupG/H
centerC23C22×D12
commutator, cosocleC22×C3×C4C24
FrattiniC22×C4C23×D3
FittingC3×#1750C2
socleC23×C3C22×D4
prime radicalC2×#930C22
hypercenter#1750D3
hypocenterC3#23581
LCSG ▷ C22×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×#117 ◁ #1750

Complements

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

NH ≅ G/Ntype
2. #82235C2semidirect
3. C2×#4716C2semidirect
4. C2×C4×#204C2semidirect
5. C3×#1750C2semidirect
6. #69964C2semidirect
8. #69936C2semidirect
10. #69812C2semidirect
11. C4×#816C2semidirect
12. #68689C2semidirect
13. #68677C2semidirect
14. #68633C2semidirect
15. #68630C2semidirect
78. #1750D3semidirect
731. C3#23581semidirect

Maximal subgroups

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

subgroupindex
C2×#55342
#822352
C2×#47162
C2×C4×#2042
C3×#17502
#699642
#699622
#699362
#699352
#698122
C4×#8162
#686892
#686772
#686332
#686302
#235813