Finite Group Databasebeta

← #29646237

Subgroups — #29646237

Order 15616.

1290 conjugacy classes of subgroups.

The subgroup lattice has 736 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840414C211yesmaximal, characteristic
2#21454269C211yesmaximal, characteristic, complemented
3#21454265C211yesmaximal, characteristic, complemented
4#21444183C211yesmaximal, characteristic, complemented
5#21444166C212yesmaximal, complemented
6#21444166C212yesmaximal, complemented
7#21444155C211yesmaximal, characteristic, complemented
8#21444147C212yesmaximal, complemented
9#21444135C211yesmaximal, characteristic, complemented
10#324×D61C212yesmaximal, complemented
11C61×#1472C211yesmaximal, characteristic, complemented
12C22×#11758226C411yescharacteristic
13C22×#11758222C2211yescharacteristic
14C2×#14519785—21no—
15C2×#14519783—21no—
16#16840414—21no—
17#16840414—21no—
18#16840414—22no—
19#16840414—22no—
20#16840414—21no—
21#16840414—21no—
22C2×#14519775C411yescharacteristic
23C2×#14519762C2212yes—
24C2×#14519759C412yes—
25C2×#14519757C411yescharacteristic
26C2×#14519750C412yes—
27C2×#14519739C411yescharacteristic
28C2×C4×C22⋊D61C2211yescharacteristic
29C2×C4⋊C4×D61C2212yes—
30#16839730—21no—
31#16839728—21no—
32#16839727—22no—
33#16839727—22no—
34#16839726C2211yescharacteristic
35#16839724C2212yes—
36#16839724C2212yes—
37C2×C22⋊#92418C2211yescharacteristic
38C22⋊C8×D61C2212yes—
39C22⋊C8×D61C2212yes—
40#16839488C2212yes—
41#16839488C2212yes—
42#16839487C2211yescharacteristic
43#16839487C2212yes—
44#16839487C2211yescharacteristic
45#16839485C2211yescharacteristic
46#16839485C2211yescharacteristic
47#16839485C2212yes—
48C2×C22⋊Q8×C61C2211yescharacteristic
49C61×#407C2211yescharacteristic
50C2×C22⋊C8×C61C2211yescharacteristic
51C61×#324C2212yes—
52C61×#324C2212yes—
53C2×#11758226—21no—
54C2×#11758226—22no—
55C2×#11758226—21no—
56C2×#11758226—44no—
57C2×#11758222—44no—
58C2×#11758222D411yescharacteristic
59C2×#11758222D411yescharacteristic
60C2×#11758222D412yes—
61C2×#11758222D412yes—
62C2×#11758222D411yescharacteristic
63C2×#11758222D411yescharacteristic
64C22×Dic122C2×C411yescharacteristic
65C22×D244C2×C411yescharacteristic
66C22×D244C2×C412yes—
67C22×C22⋊D61C2×C411yescharacteristic
68C22×C22⋊D61C2×C412yes—
69C22×C4×D61C2×C412yes—
70C22×C4×D61C2×C412yes—
71C22×C4×D61C2×C411yescharacteristic
72C22×C4×D61C2312yes—
73#14519785—44no—
74#14519783—44no—
75C2×#11758194—21no—
76C2×#11758189—22no—
77C2×#11758189—22no—
78C22×#92418—21no—
79C2×C8×D61—22no—
80C2×C8×D61—22no—
81#14519775—21no—
82#14519775—21no—
83#14519775—22no—
84#14519762—22no—
85#14519762—22no—
86#14519762—22no—
87#14519762—22no—
88#14519759—22no—
89#14519759—22no—
90#14519759—22no—
91#14519759—22no—
92#14519757—21no—
93#14519757—21no—
94#14519757—22no—
95#14519750—22no—
96#14519750—22no—
97#14519750—22no—
98#14519750—22no—
99#14519739—22no—
100#14519739—21no—
101#14519739—21no—
102C4×C22⋊D61—21no—
103C4×C22⋊D61—21no—
104C4×C22⋊D61—21no—
105C4×C22⋊D61—21no—
106C2×C4⋊Dic61C2×C412yes—
107C2×#11758196C2×C412yes—
108C2×#11758196C2×C412yes—
109C2×#11758196C2311yescharacteristic
110C4⋊C4×D61—22no—
111C4⋊C4×D61—22no—
112C4⋊C4×D61—22no—
113C4⋊C4×D61—22no—
114C2×C22⋊Dic61C2×C411yescharacteristic
115C2×#11758198C2×C412yes—
116C2×#11758198C2×C412yes—
117C2×#11758198C2311yescharacteristic
118C2×C4×Dic61C2×C411yescharacteristic
119C22⋊#92418—21no—
120C22⋊#92418—21no—
121C22⋊#92418C2311yescharacteristic
122C22⋊#92418C2312yes—
123C22⋊#92418C2311yescharacteristic
124#14519689—22no—
125#14519689—22no—
126#14519689—22no—
127#14519689—22no—
128C22×Q8×C61C2×C411yescharacteristic
129C23×C4×C61C2311yescharacteristic
130C2×M16×C61—21no—
131C22×C8×C61—21no—
132C22⋊Q8×C61—21no—
133C22⋊Q8×C61—21no—
134C22⋊Q8×C61—21no—
135C22⋊Q8×C61—21no—
136C2×C4⋊C4×C61C2×C411yescharacteristic
137C2×C4⋊C4×C61C2312yes—
138C2×C22⋊C4×C61C2×C412yes—
139C22⋊C8×C61—21no—
140C22⋊C8×C61—21no—
141C22⋊C8×C61C2311yescharacteristic
142C22⋊C8×C61C2312yes—
143C22⋊C8×C61C2311yescharacteristic
144C24×C61C22×C411yescharacteristic
145C23×D61C22×C412yes—
146C23×D61C22×C411yescharacteristic
147C2×Q8×C61—21no—
148C2×Q8×C61—21no—
149C2×Q8×C61—42no—
150C22×C4×C61—42no—
151C22×C4×C61C22×C412yes—
152C22×C4×C61C22×C411yescharacteristic
153C22×C4×C61C22×C412yes—
154C22×C4×C61C2×D411yescharacteristic
155C22×C4×C61C2×D411yescharacteristic
156C22×C4×C61C2×D411yescharacteristic
157C22×C4×C61C2×D411yescharacteristic
158C22×C4×C61C2411yescharacteristic
159C2×C22⋊D61—21no—
160C2×C22⋊D61—21no—
161C2×C22⋊D61—22no—
162C2×C22⋊D61—41no—
163C2×C22⋊D61—44no—
164C2×C22⋊D61C22⋊C412yes—
165C2×C22⋊D61C22⋊C412yes—
166C2×C22⋊D61C22⋊C412yes—
167C2×C22⋊D61C22⋊C412yes—
168C22×Dic61C22×C411yescharacteristic
169C22×Dic61C22×C411yescharacteristic
170C22×Dic61C22×C411yescharacteristic
171C22×Dic61C22×C412yes—
172#11758226—48no—
173#11758226—44no—
174#11758226—44no—
175#11758222—24no—
176#11758222—24no—
177#11758222—42no—
178#11758222—42no—
179#11758222—44no—
180#11758222—44no—
181C2×D244—24no—
182C2×D244—22no—
183C2×D244—22no—
184C2×D244—44no—
185C2×D244C22⋊C412yes—
186C2×D244C22⋊C411yescharacteristic
187C2×D244C22⋊C411yescharacteristic
188C2×C4×D61—22no—
189C2×C4×D61—22no—
190C2×C4×D61—22no—
191C2×C4×D61—22no—
192C2×C4×D61—21no—
193C2×C4×D61—21no—
194C2×C4×D61—24no—
195C2×C4×D61—44no—
196C2×C4×D61—42no—
197C2×C4×D61—42no—
198C2×C4×D61—44no—
199C2×C4×D61C2×D412yes—
200C2×C4×D61C2×D412yes—
201C2×C4×D61C2×D412yes—
202C2×C4×D61C2×D412yes—
203C2×Dic122—42no—
204C2×Dic122C22⋊C411yescharacteristic
205C2×Dic122C22⋊C411yescharacteristic
206C2×Dic122C22⋊C412yes—
207M16×C61—42no—
208C2×C8×C61—21no—
209C2×C8×C61—21no—
210C2×C8×C61—22no—
211C2×C8×C61—42no—
212C4⋊C4×C61—21no—
213C4⋊C4×C61—21no—
214C4⋊C4×C61—22no—
215C4⋊C4×C61—22no—
216C22⋊C4×C61—22no—
217C22⋊C4×C61—22no—
218C22⋊Dic61—21no—
219C22⋊Dic61—21no—
220#11758198—22no—
221#11758198—22no—
222#11758198—21no—
223#11758198—21no—
224#11758198—22no—
225#11758198—22no—
226C4⋊Dic61—22no—
227C4⋊Dic61—22no—
228#11758196—21no—
229#11758196—21no—
230#11758196—22no—
231#11758196—22no—
232#11758196—22no—
233#11758196—22no—
234C4×Dic61—21no—
235C4×Dic61—21no—
236#11758194—42no—
237C2×#92418—21no—
238C2×#92418—22no—
239C2×#92418—21no—
240C2×#92418—42no—
241#11758189—44no—
242#11758189—44no—
243C8×D61—44no—
244C8×D61—44no—
245C23×C61—21no—
246C23×C61—21no—
247C23×C61—41no—
248C23×C61—41no—
249C23×C61C2×C22⋊C411yescharacteristic
250C23×C61C2×C22⋊C411yescharacteristic
251C23×C61C23×C411yescharacteristic
252C22×D61—22no—
253C22×D61—22no—
254C22×D61—24no—
255C22×D61—21no—
256C22×D61—21no—
257C22×D61—21no—
258C22×D61—42no—
259C22×D61—41no—
260C22×D61—41no—
261C22×D61C2×C22⋊C412yes—
262C22×D61C2×C22⋊C412yes—
263Q8×C61—42no—
264Q8×C61—42no—
265C2×C4×C61—22no—
266C2×C4×C61—22no—
267C2×C4×C61—22no—
268C2×C4×C61—22no—
269C2×C4×C61—22no—
270C2×C4×C61—22no—
271C2×C4×C61—22no—
272C2×C4×C61—41no—
273C2×C4×C61—41no—
274C2×C4×C61—41no—
275C2×C4×C61—42no—
276C2×C4×C61C2×C22⋊C411yescharacteristic
277C2×C4×C61C2×C22⋊C411yescharacteristic
278C2×C4×C61C22×D411yescharacteristic
279C2×C4×C61C22×D411yescharacteristic
280C22⋊D61—24no—
281C22⋊D61—24no—
282C22⋊D61—42no—
283C22⋊D61—42no—
284C22⋊D61—42no—
285C22⋊D61—42no—
286C2×Dic61—21no—
287C2×Dic61—21no—
288C2×Dic61—21no—
289C2×Dic61—21no—
290C2×Dic61—42no—
291C2×Dic61—41no—
292C2×Dic61—41no—
293C2×Dic61C2×C22⋊C412yes—
294C2×Dic61C2×C22⋊C412yes—
295C2×Dic61#13112yescomplemented
296D244—24no—
297D244—22no—
298D244—44no—
299D244—44no—
300D244#9914yes—
301C4×D61—24no—
302C4×D61—24no—
303C4×D61—42no—
304C4×D61—42no—
305C4×D61—44no—
306C4×D61—44no—
307C4×D61—42no—
308C4×D61—44no—
309C4×D61—44no—
310C4×D61—42no—
311Dic122—22no—
312Dic122—22no—
313Dic122—42no—
314C8×C61—41no—
315C8×C61—42no—
316C8×C61—41no—
317#92418—41no—
318#92418—42no—
319#92418—41no—
320#17416—611nomaximal, Sylow
321C22×C61—21no—
322C22×C61—21no—
323C22×C61—21no—
324C22×C61—21no—
325C22×C61—21no—
326C22×C61—21no—
327C22×C61—21no—
328C22×C61—21no—
329C22×C61—81no—
330C22×C61—81no—
331C22×C61C22×C22⋊C411yescharacteristic
332C22×C61C2×#13111yescharacteristic
333C22×C61#56811yescharacteristic
334C2×D61—22no—
335C2×D61—22no—
336C2×D61—22no—
337C2×D61—22no—
338C2×D61—22no—
339C2×D61—44no—
340C2×D61—44no—
341C2×D61—41no—
342C2×D61—41no—
343C2×D61—41no—
344C2×D61—81no—
345C2×D61—81no—
346C2×D61C2×#9914yes—
347C4×C61—21no—
348C4×C61—21no—
349C4×C61—21no—
350C4×C61—42no—
351C4×C61—42no—
352C4×C61C2×#9912yes—
353Dic61—22no—
354Dic61—22no—
355Dic61—22no—
356Dic61—41no—
357Dic61—41no—
358C2×#547—611no—
359#2880—611no—
360#2880—611no—
361#1472—611no—
362#1472D6111yescharacteristic, complemented
363#1468—612no—
364#1468—612no—
365#1465—611no—
366#1463—612no—
367#1459—611no—
368C2×#324—612no—
369C2×C61—21no—
370C2×C61—21no—
371C2×C61—41no—
372C2×C61—41no—
373C2×C61#288011yescharacteristic
374C2×C61C22×#9911yescharacteristic
375C2×C61#288911yescharacteristic
376D61—24no—
377D61—42no—
378D61—81no—
379C22×#41—611no—
380C22×#41—611no—
381C2×#131—1221no—
382C2×#131—1221no—
383#547—1221no—
384#547—1221no—
385#547—1222no—
386#547—1222no—
387#547—1221no—
388#547—1221no—
389C2×C4⋊Q8—611no—
390C2×#123—612no—
391C2×#123—612no—
392C2×C22⋊Q8—611no—
393C2×C22⋊Q8C2×D6111yescharacteristic
394C2×#121—612no—
395C2×C4×D4—611no—
396C2×C4×D4—611no—
397C22×C4⋊C4—612no—
398#408—1222no—
399#408—1222no—
400#408—1221no—
401#408—1221no—
402#407—611no—
403#407—612no—
404#407—612no—
405#407C2×D6111yescharacteristic
406C2×C22⋊C8—611no—
407C2×C22⋊C8—612no—
408C2×C22⋊C8—612no—
409C2×C22⋊C8C2×D6111yescharacteristic
410#324—612no—
411#324—612no—
412#324—611no—
413#324—612no—
414#324—611no—
415#324C2×D6112yes—
416#324C2×D6112yes—
417#323—611no—
418#323—611no—
419#323—612no—
420C61#1741611yescharacteristic, complemented, Sylow
421C2×#41—611no—
422C2×#41—611no—
423C2×#41—612no—
424C2×#41—612no—
425C2×#41—611no—
426C2×#41—611no—
427C2×#41—1221no—
428C2×#41—1222no—
429C2×#41—1221no—
430C2×#41—2444no—
431C2×#41—2444no—
432C22×Q8—611no—
433C22×Q8C4×D6111yescharacteristic
434C22×D4—612no—
435C22×D4—611no—
436C22×D4—611no—
437C22×D4—612no—
438C23×C4—612no—
439C23×C4—612no—
440C23×C4—612no—
441C23×C4—611no—
442C23×C4C22×D6111yescharacteristic
443#131—2444no—
444#131—2444no—
445C2×M16—21no—
446C2×M16—1222no—
447C2×M16—1222no—
448C2×M16—1221no—
449C22×C8—21no—
450C22×C8—1222no—
451C22×C8—1222no—
452C22×C8—1221no—
453C4⋊Q8—1221no—
454C4⋊Q8—1221no—
455C4⋊Q8—1222no—
456#123—1222no—
457#123—1222no—
458#123—1222no—
459#123—1222no—
460#123—1222no—
461#123—1222no—
462#123—1222no—
463#123—1222no—
464C22⋊Q8—21no—
465C22⋊Q8—21no—
466C22⋊Q8—21no—
467C22⋊Q8—21no—
468C22⋊Q8—1221no—
469C22⋊Q8—1221no—
470C22⋊Q8—1222no—
471#121—1222no—
472#121—1222no—
473#121—1222no—
474#121—1222no—
475C4×D4—1221no—
476C4×D4—1222no—
477C4×D4—1221no—
478C4×D4—1221no—
479C4×D4—1221no—
480C4×D4—1221no—
481C4×D4—1221no—
482C2×C4⋊C4—612no—
483C2×C4⋊C4—612no—
484C2×C4⋊C4—612no—
485C2×C4⋊C4—611no—
486C2×C4⋊C4—1222no—
487C2×C4⋊C4—1222no—
488C2×C4⋊C4—1222no—
489C2×C4⋊C4—1222no—
490C2×C4⋊C4C4×D6111yescharacteristic
491C2×C4⋊C4C22×D6112yes—
492C2×C22⋊C4—611no—
493C2×C22⋊C4—612no—
494C2×C22⋊C4—612no—
495C2×C22⋊C4—611no—
496C2×C22⋊C4C4×D6112yes—
497C2×C42—611no—
498C22⋊C8—21no—
499C22⋊C8—21no—
500C22⋊C8—611no—
501C22⋊C8—611no—
502C22⋊C8—612no—
503C22⋊C8—1222no—
504C22⋊C8—1222no—
505C22⋊C8—1222no—
506C22⋊C8—1222no—
507C22⋊C8—1221no—
508C22⋊C8—1221no—
509C22⋊C8C22×D6111yescharacteristic
510C22⋊C8C22×D6112yes—
511C22⋊C8C22×D6111yescharacteristic
512C24—612no—
513C24—611no—
514C24C2×C4×D6111yescharacteristic
515#41—1224no—
516#41—1224no—
517#41—2442no—
518#41—2442no—
519#41—2444no—
520#41—2444no—
521#41—2444no—
522#41—2448no—
523#41—2444no—
524C2×Q8—21no—
525C2×Q8—21no—
526C2×Q8—42no—
527C2×Q8—611no—
528C2×Q8—611no—
529C2×Q8—612no—
530C2×Q8—2442no—
531C2×D4—612no—
532C2×D4—612no—
533C2×D4—612no—
534C2×D4—612no—
535C2×D4—611no—
536C2×D4—612no—
537C2×D4—611no—
538C2×D4—1224no—
539C2×D4—1222no—
540C2×D4—1222no—
541C2×D4—1222no—
542C2×D4—1221no—
543C2×D4—1221no—
544C2×D4—2444no—
545C2×D4—2441no—
546C2×D4—2444no—
547C22×C4—42no—
548C22×C4—611no—
549C22×C4—612no—
550C22×C4—612no—
551C22×C4—612no—
552C22×C4—612no—
553C22×C4—612no—
554C22×C4—611no—
555C22×C4—611no—
556C22×C4—1224no—
557C22×C4—1222no—
558C22×C4—1222no—
559C22×C4—1222no—
560C22×C4—1222no—
561C22×C4—1221no—
562C22×C4—1221no—
563C22×C4—2442no—
564C22×C4—2442no—
565C22×C4—2444no—
566C22×C4—2444no—
567C22×C4C2×C4×D6112yes—
568C22×C4C2×C4×D6111yescharacteristic
569C22×C4C2×C4×D6112yes—
570C22×C4D4×D6111yescharacteristic
571C22×C4D4×D6111yescharacteristic
572C22×C4D4×D6111yescharacteristic
573C22×C4D4×D6111yescharacteristic
574C22×C4C23×D6111yescharacteristic
575M16—42no—
576M16—2444no—
577M16—2444no—
578M16—2442no—
579C2×C8—21no—
580C2×C8—21no—
581C2×C8—22no—
582C2×C8—42no—
583C2×C8—1221no—
584C2×C8—1222no—
585C2×C8—1221no—
586C2×C8—2444no—
587C2×C8—2444no—
588C2×C8—2442no—
589C4⋊C4—22no—
590C4⋊C4—22no—
591C4⋊C4—21no—
592C4⋊C4—21no—
593C4⋊C4—1222no—
594C4⋊C4—1222no—
595C4⋊C4—1222no—
596C4⋊C4—1222no—
597C4⋊C4—1222no—
598C4⋊C4—1222no—
599C4⋊C4—1221no—
600C4⋊C4—1221no—
601C22⋊C4—22no—
602C22⋊C4—22no—
603C22⋊C4—1222no—
604C22⋊C4—1222no—
605C22⋊C4—1222no—
606C22⋊C4—1222no—
607C22⋊C4—1221no—
608C22⋊C4—1221no—
609C22⋊C4—1221no—
610C22⋊C4—1221no—
611C42—1221no—
612C42—1221no—
613C23—21no—
614C23—21no—
615C23—41no—
616C23—41no—
617C23—612no—
618C23—612no—
619C23—1224no—
620C23—1222no—
621C23—1222no—
622C23—1221no—
623C23—1221no—
624C23—1221no—
625C23—2442no—
626C23—2441no—
627C23—2441no—
628C23C22⋊C4×D6111yescharacteristic
629C23C22⋊C4×D6111yescharacteristic
630C23C22×C4×D6111yescharacteristic
631Q8—42no—
632Q8—42no—
633Q8—1222no—
634Q8—1222no—
635Q8—2442no—
636D4—614no—
637D4—1224no—
638D4—1224no—
639D4—1224no—
640D4—1222no—
641D4—2444no—
642D4—2444no—
643D4—2442no—
644D4—2442no—
645D4—2442no—
646D4—2442no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—22no—
650C2×C4—22no—
651C2×C4—22no—
652C2×C4—22no—
653C2×C4—22no—
654C2×C4—41no—
655C2×C4—41no—
656C2×C4—41no—
657C2×C4—42no—
658C2×C4—612no—
659C2×C4—612no—
660C2×C4—612no—
661C2×C4—1224no—
662C2×C4—1224no—
663C2×C4—1221no—
664C2×C4—1221no—
665C2×C4—1221no—
666C2×C4—1221no—
667C2×C4—2442no—
668C2×C4—2442no—
669C2×C4—2442no—
670C2×C4—2444no—
671C2×C4—2444no—
672C2×C4—2444no—
673C2×C4—2444no—
674C2×C4—2442no—
675C2×C4—2442no—
676C2×C4—2441no—
677C2×C4—2441no—
678C2×C4C22⋊C4×D6111yescharacteristic
679C2×C4C22⋊C4×D6111yescharacteristic
680C2×C4C2×D4×D6111yescharacteristic
681C2×C4C2×D4×D6111yescharacteristic
682C8—41no—
683C8—41no—
684C8—42no—
685C8—2441no—
686C8—2442no—
687C8—2441no—
688C22—21no—
689C22—21no—
690C22—21no—
691C22—21no—
692C22—21no—
693C22—21no—
694C22—21no—
695C22—21no—
696C22—81no—
697C22—81no—
698C22—614no—
699C22—1222no—
700C22—1222no—
701C22—1222no—
702C22—1222no—
703C22—1222no—
704C22—4881no—
705C22—4881no—
706C22—2444no—
707C22—2444no—
708C22—2441no—
709C22—2441no—
710C22—2441no—
711C22C2×C22⋊C4×D6111yescharacteristic
712C22#131×D6111yescharacteristic
713C22#1684052711yescharacteristic
714C4—21no—
715C4—21no—
716C4—21no—
717C4—42no—
718C4—42no—
719C4—1222no—
720C4—1222no—
721C4—1222no—
722C4—2441no—
723C4—2441no—
724C4#99×D6112yes—
725C2—21no—
726C2—21no—
727C2—41no—
728C2—41no—
729C2—1224no—
730C2—4881no—
731C2—2442no—
732C2#2145426711yescharacteristic
733C2C2×#99×D6111yescharacteristic
734C2#2145429911yescharacteristic
subgroupG/H
centerC22C2×C22⋊C4×D61
commutatorC23×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#1472C2
socleC22×C61C22×C22⋊C4
prime radicalC2×#16840414C2
cosocleC22×C4×C61C24
hypercenter#1472D61
hypocenterC61#17416
LCSG ▷ C23×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C23×C4 ◁ #1472

Complements

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

NH ≅ G/Ntype
2. #21454269C2semidirect
3. #21454265C2semidirect
4. #21444183C2semidirect
5. #21444166C2semidirect
6. #21444166C2semidirect
7. #21444155C2semidirect
8. #21444147C2semidirect
9. #21444135C2semidirect
10. #324×D61C2semidirect
11. C61×#1472C2semidirect
295. C2×Dic61#131semidirect
362. #1472D61semidirect
420. C61#17416semidirect

Maximal subgroups

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

subgroupindex
C2×#168404142
#214542692
#214542652
#214441832
#214441662
#214441552
#214441472
#214441352
#324×D612
C61×#14722
#1741661