Finite Group Databasebeta

← #29646808

Subgroups — #29646808

Order 15616.

1324 conjugacy classes of subgroups.

The subgroup lattice has 718 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#532×D61C211yesmaximal, characteristic
2#21454451C211yesmaximal, characteristic, complemented
3C2×C4×#11758189C211yesmaximal, characteristic, complemented
4#21444271C211yesmaximal, characteristic, complemented
5#21444270C211yesmaximal, characteristic, complemented
6#21444269C211yesmaximal, characteristic, complemented
7#21444260C214yesmaximal, complemented
8#21444234C214yesmaximal, complemented
9C61×#1492C211yesmaximal, characteristic, complemented
10C2×#41×D61—21no—
11C22×#11758189—21no—
12#16840313C411yescharacteristic
13#16840312C2211yescharacteristic
14#16840311—21no—
15#16840310C411yescharacteristic
16#16840309—21no—
17#16840309C2212yes—
18#16840308—21no—
19#16840307—21no—
20#16840307C412yes—
21C4⋊Q8×D61C411yescharacteristic
22#127×D61C411yescharacteristic
23#124×D61—21no—
24#121×D61—21no—
25#121×D61C412yes—
26C4×D4×D61—21no—
27C4×D4×D61C2212yes—
28C2×C42×D61C2211yescharacteristic
29#16839818—21no—
30#16839818C2212yes—
31#16839814—21no—
32#16839814C2212yescomplemented
33#16839786C2211yescharacteristic, complemented
34#16839725—21no—
35M16×Dic61—21no—
36C4×#11758189—21no—
37C4×#11758189—21no—
38C4×#11758189C2212yes—
39C4×#11758189C2212yescomplemented
40C2×#14519687—21no—
41C2×C4×#92418C2211yescharacteristic, complemented
42#16839491C2214yescomplemented
43D4⋊#92418C2214yescomplemented
44#16839489C2214yescomplemented
45C61×#532C2211yescharacteristic
46C61×#423C2211yescharacteristic, complemented
47C2×C4×C8×C61C2211yescharacteristic, complemented
48C61×D4⋊C8C2214yescomplemented
49C2×#11758226—21no—
50C2×#11758222—21no—
51C2×#11758222—22no—
52C2×#11758224—22no—
53C2×#11758224—21no—
54#41×D61—44no—
55#41×D61—44no—
56C2×Q8×D61—21no—
57C2×D4×D61—22no—
58C2×D4×D61—21no—
59C2×D4×D61—21no—
60C2×D4×D61C2×C412yes—
61C22×C4×D61—22no—
62C22×C4×D61C2×C411yescharacteristic
63C22×C4×D61D411yescharacteristic
64C22×C4×D61D411yescharacteristic
65C2×#11758194—21no—
66C2×#11758189—28no—
67C2×#11758189—22no—
68C2×#11758189—22no—
69C22×#92418—21no—
70#14519777C2×C411yescharacteristic
71#14519776—21no—
72#14519776C2×C412yes—
73#14519775—21no—
74#14519774C2×C411yescharacteristic
75#14519773—21no—
76#14519773—21no—
77#14519773C2×C412yes—
78#14519766—21no—
79#14519765—21no—
80#14519764—21no—
81#14519763—22no—
82#14519763—22no—
83#14519752—21no—
84#14519752C2×C412yes—
85#14519751—21no—
86#14519751C2×C412yes—
87#14519750—22no—
88#14519750—22no—
89#14519749—22no—
90#14519749—22no—
91#14519748—21no—
92#14519748C2×C412yes—
93C4×D244—21no—
94C4×D244C2312yes—
95D4×Dic61—21no—
96D4×Dic61C2×C412yes—
97#14519739—21no—
98#14519739C2×C412yes—
99C4×C22⋊D61—22no—
100C4×C22⋊D61—22no—
101#14519737—22no—
102#14519737—22no—
103C4⋊C4×D61—21no—
104C4⋊C4×D61C2×C412yes—
105C22⋊C4×D61—22no—
106C22⋊C4×D61—22no—
107C2×C4×Dic61C2×C411yescharacteristic
108C2×C4×Dic61D411yescharacteristic
109C2×C4×Dic61D411yescharacteristic
110C42×D61C2×C411yescharacteristic
111C42×D61C2×C411yescharacteristic
112C42×D61D411yescharacteristic
113C42×D61D411yescharacteristic
114C42×D61D411yescharacteristic
115C42×D61D411yescharacteristic
116C42×D61C2311yescharacteristic
117C42×D61C2311yescharacteristic
118C4⋊#92418—21no—
119C4⋊#92418C2312yes—
120#14519689—22no—
121#14519689—22no—
122#14519687—22no—
123#14519687—22no—
124#14519687—22no—
125C4×#92418—21no—
126C4×#92418C2312yes—
127C8×Dic61—22no—
128C2×#41×C61—21no—
129C2×M16×C61—21no—
130C22×C8×C61—21no—
131C4⋊Q8×C61C2×C411yescharacteristic
132#127×C61C2×C411yescharacteristic
133#124×C61—21no—
134#121×C61—21no—
135#121×C61C2×C412yes—
136C4×D4×C61—21no—
137C4×D4×C61C2312yes—
138C2×C42×C61C2311yescharacteristic
139C4⋊C8×C61—21no—
140C4⋊C8×C61C2312yes—
141C4×C8×C61—21no—
142C4×C8×C61C2312yes—
143C23×D61—22no—
144C23×D61C22⋊C411yescharacteristic
145#41×C61—42no—
146#41×C61—42no—
147C2×Q8×C61—21no—
148C2×D4×C61—22no—
149C2×D4×C61—21no—
150C2×D4×C61—21no—
151C2×D4×C61C22×C412yes—
152C22×C4×C61—22no—
153C22×C4×C61C22×C411yescharacteristic
154C22×C4×C61C2×D411yescharacteristic
155C22×C4×C61C2×D411yescharacteristic
156C2×C22⋊D61—22no—
157C2×C22⋊D61—22no—
158C2×C22⋊D61—22no—
159C2×C22⋊D61—22no—
160C2×C22⋊D61—22no—
161C22×Dic61—22no—
162C22×Dic61C22⋊C411yescharacteristic
163C22×Dic61C22⋊C411yescharacteristic
164C22×Dic61C22⋊C411yescharacteristic
165#11758226—44no—
166Q8×D61—44no—
167#11758224—44no—
168#11758224—48no—
169D4×D61—44no—
170D4×D61—44no—
171D4×D61—48no—
172D4×D61—44no—
173#11758222—44no—
174#11758222—44no—
175#11758222—42no—
176#11758222—42no—
177C2×D244—22no—
178C2×D244—21no—
179C2×D244—21no—
180C2×D244C22×C412yes—
181C2×C4×D61—22no—
182C2×C4×D61—22no—
183C2×C4×D61—24no—
184C2×C4×D61—22no—
185C2×C4×D61—22no—
186C2×C4×D61—22no—
187C2×C4×D61—42no—
188C2×C4×D61—44no—
189C2×C4×D61—44no—
190C2×C4×D61C22⋊C411yescharacteristic
191C2×C4×D61C22⋊C411yescharacteristic
192C2×C4×D61C22⋊C411yescharacteristic
193C2×C4×D61C22⋊C411yescharacteristic
194C2×C4×D61C22⋊C411yescharacteristic
195C2×C4×D61C22⋊C411yescharacteristic
196C2×C4×D61C22×C411yescharacteristic
197C2×C4×D61C22×C411yescharacteristic
198C2×C4×D61C2×D411yescharacteristic
199C2×C4×D61C2×D411yescharacteristic
200C2×C4×D61C2×D411yescharacteristic
201C2×C4×D61C2×D411yescharacteristic
202C2×Dic122—21no—
203C2×Dic122—22no—
204M16×C61—42no—
205C2×C8×C61—24no—
206C2×C8×C61—22no—
207C2×C8×C61—22no—
208C4⋊C4×C61—21no—
209C4⋊C4×C61C22×C412yes—
210C22⋊C4×C61—22no—
211C22⋊C4×C61—22no—
212C42×C61C22×C411yescharacteristic
213C42×C61C2×D411yescharacteristic
214C42×C61C2×D411yescharacteristic
215C42×C61C2411yescharacteristic
216C22⋊Dic61—22no—
217C22⋊Dic61—22no—
218#11758198—22no—
219#11758198—22no—
220#11758198—22no—
221#11758198—22no—
222C4⋊Dic61—21no—
223C4⋊Dic61C22×C412yes—
224#11758196—22no—
225#11758196—22no—
226C4×Dic61C22⋊C411yescharacteristic
227C4×Dic61C22⋊C411yescharacteristic
228C4×Dic61C22⋊C411yescharacteristic
229C4×Dic61C22⋊C411yescharacteristic
230C4×Dic61C22⋊C411yescharacteristic
231C4×Dic61C22⋊C411yescharacteristic
232C4×Dic61C22×C411yescharacteristic
233C4×Dic61C22×C411yescharacteristic
234C4×Dic61C2×D411yescharacteristic
235C4×Dic61C2×D411yescharacteristic
236C4×Dic61C2×D411yescharacteristic
237C4×Dic61C2×D411yescharacteristic
238#11758194—42no—
239C2×#92418—24no—
240C2×#92418—22no—
241C2×#92418—22no—
242#11758189—28no—
243#11758189—28no—
244C23×C61—22no—
245C23×C61C2×C22⋊C411yescharacteristic
246C22×D61—22no—
247C22×D61—22no—
248C22×D61—22no—
249C22×D61—41no—
250C22×D61—44no—
251C22×D61—44no—
252C22×D61—44no—
253C22×D61C2×C22⋊C411yescharacteristic
254C22×D61C2×C22⋊C411yescharacteristic
255Q8×C61—42no—
256D4×C61—24no—
257D4×C61—44no—
258D4×C61—42no—
259D4×C61—42no—
260C2×C4×C61—22no—
261C2×C4×C61—22no—
262C2×C4×C61—22no—
263C2×C4×C61—42no—
264C2×C4×C61—42no—
265C2×C4×C61C2×C22⋊C411yescharacteristic
266C2×C4×C61C2×C22⋊C411yescharacteristic
267C2×C4×C61C2×C22⋊C411yescharacteristic
268C2×C4×C61AGL(1,ℤ/8)12yes—
269C2×C4×C61AGL(1,ℤ/8)12yes—
270C2×C4×C61C23×C411yescharacteristic
271C2×C4×C61C22×D411yescharacteristic
272C2×C4×C61C22×D411yescharacteristic
273C22⋊D61—44no—
274C22⋊D61—44no—
275C22⋊D61—44no—
276C22⋊D61—44no—
277C22⋊D61—44no—
278C2×Dic61—22no—
279C2×Dic61—22no—
280C2×Dic61—22no—
281C2×Dic61—41no—
282C2×Dic61—44no—
283C2×Dic61C2×C22⋊C411yescharacteristic
284C2×Dic61C2×C22⋊C411yescharacteristic
285C2×Dic61C2×C22⋊C411yescharacteristic
286C2×Dic61C2×C22⋊C411yescharacteristic
287C2×Dic61C2×C22⋊C411yescharacteristic
288C2×Dic61C2×C22⋊C411yescharacteristic
289D244—24no—
290D244—44no—
291D244—42no—
292D244—42no—
293C4×D61—22no—
294C4×D61—22no—
295C4×D61—22no—
296C4×D61—21no—
297C4×D61—21no—
298C4×D61—21no—
299C4×D61—21no—
300C4×D61—22no—
301C4×D61—22no—
302C4×D61—22no—
303C4×D61—22no—
304C4×D61—41no—
305C4×D61—41no—
306C4×D61—44no—
307C4×D61—44no—
308C4×D61—42no—
309C4×D61—42no—
310C4×D61#10414yes—
311Dic122—44no—
312Dic122—42no—
313C8×C61—24no—
314C8×C61—42no—
315#92418—24no—
316#92418—42no—
317#17500—611nomaximal, Sylow
318C22×C61—21no—
319C22×C61—21no—
320C22×C61—42no—
321C22×C61—42no—
322C22×C61—42no—
323C22×C61#41812yes—
324C22×C61C22×C22⋊C411yescharacteristic
325C2×D61—21no—
326C2×D61—21no—
327C2×D61—21no—
328C2×D61—21no—
329C2×D61—21no—
330C2×D61—44no—
331C2×D61—42no—
332C2×D61—42no—
333C2×D61—42no—
334C2×D61—88no—
335C2×D61C2×#10412yes—
336C4×C61—21no—
337C4×C61—21no—
338C4×C61—42no—
339C4×C61#41812yes—
340C4×C61C2×#10412yes—
341C4×C61#56812yes—
342C4×C61C2×AGL(1,ℤ/8)11yescharacteristic
343C4×C61C2×AGL(1,ℤ/8)11yescharacteristic
344Dic61—21no—
345Dic61—21no—
346Dic61—21no—
347Dic61—21no—
348Dic61—21no—
349Dic61—42no—
350Dic61C2×#10412yes—
351C2×#532—611no—
352#2920—611no—
353C2×C4×M16—611no—
354#1492—611no—
355#1492—611no—
356#1492—611no—
357#1492D6111yescharacteristic, complemented
358#1490—614no—
359#1484—614no—
360C2×C61—22no—
361C2×C61—82no—
362C2×C61#287911yescharacteristic
363C2×C61C2×#41811yescharacteristic
364C2×C61C22×#10411yescharacteristic
365D61—22no—
366D61—41no—
367D61—82no—
368C22×#41—1221no—
369C22×M16—1221no—
370#532—611no—
371#532—611no—
372#532—612no—
373#532—612no—
374#532—611no—
375#532—1221no—
376#532—1221no—
377#532—1221no—
378#532—1221no—
379#532C2×D6111yescharacteristic
380C2×C4⋊Q8—611no—
381C2×#127—611no—
382C2×#124—1221no—
383C2×#121—612no—
384C2×#121—1221no—
385C2×C4×D4—612no—
386C2×C4×D4—1221no—
387C22×C42—611no—
388#432—612no—
389#432—1221no—
390#431—612no—
391#431—1221no—
392#423—611no—
393#423C2×D6111yescharacteristic, complemented
394#407—1221no—
395C4×M16—612no—
396C4×M16—612no—
397C4×M16—1221no—
398C4×M16—1221no—
399C4×M16—1221no—
400C2×#97—1221no—
401C2×C4×C8—611no—
402C2×C4×C8C2×D6111yescharacteristic, complemented
403D4⋊C8—614no—
404D4⋊C8—614no—
405D4⋊C8—614no—
406D4⋊C8C2×D6114yescomplemented
407C61#1750011yescharacteristic, complemented, Sylow
408C2×#41—21no—
409C2×#41—1222no—
410C2×#41—1222no—
411C2×#41—1221no—
412C2×#41—1221no—
413C2×#41—1221no—
414C2×#41—2444no—
415C2×#41—2444no—
416C22×Q8—1221no—
417C22×D4—612no—
418C22×D4—1221no—
419C22×D4—1221no—
420C22×D4—1222no—
421C23×C4—611no—
422C23×C4—611no—
423C23×C4—611no—
424C23×C4—1222no—
425C2×M16—21no—
426C2×M16—1222no—
427C2×M16—1222no—
428C2×M16—1228no—
429C2×M16—1221no—
430C22×C8—21no—
431C22×C8—1221no—
432C4⋊Q8—612no—
433C4⋊Q8—611no—
434C4⋊Q8—1221no—
435C4⋊Q8—1221no—
436C4⋊Q8C4×D6111yescharacteristic
437#127—612no—
438#127—611no—
439#127—1221no—
440#127—1221no—
441#127C4×D6111yescharacteristic
442#124—21no—
443#124—1222no—
444#124—1222no—
445#124—1221no—
446#124—1221no—
447#124—1221no—
448#121—21no—
449#121—612no—
450#121—612no—
451#121—612no—
452#121—1222no—
453#121—1222no—
454#121—1221no—
455#121—1222no—
456#121—1221no—
457#121—1222no—
458#121—1221no—
459#121C4×D6112yes—
460C4×D4—21no—
461C4×D4—612no—
462C4×D4—612no—
463C4×D4—612no—
464C4×D4—1222no—
465C4×D4—1222no—
466C4×D4—1221no—
467C4×D4—1222no—
468C4×D4—1222no—
469C4×D4—1221no—
470C4×D4—1221no—
471C4×D4C22×D6112yes—
472C2×C4⋊C4—612no—
473C2×C4⋊C4—1221no—
474C2×C22⋊C4—1222no—
475C2×C22⋊C4—1222no—
476C2×C42—611no—
477C2×C42—611no—
478C2×C42—611no—
479C2×C42—611no—
480C2×C42—611no—
481C2×C42—611no—
482C2×C42—611no—
483C2×C42—611no—
484C2×C42—611no—
485C2×C42—611no—
486C2×C42—611no—
487C2×C42C22×D6111yescharacteristic
488C4⋊C8—21no—
489C4⋊C8—612no—
490C4⋊C8—1221no—
491C4⋊C8C22×D6112yes—
492C22⋊C8—1222no—
493C22⋊C8—1222no—
494#97—1222no—
495#97—1222no—
496#97—1222no—
497C4×C8—21no—
498C4×C8—612no—
499C4×C8—1222no—
500C4×C8—1221no—
501C4×C8C22×D6112yes—
502C24—611no—
503C24—1222no—
504#41—42no—
505#41—42no—
506#41—2444no—
507#41—2444no—
508#41—2448no—
509#41—2444no—
510#41—2444no—
511#41—2442no—
512#41—2442no—
513C2×Q8—21no—
514C2×Q8—1222no—
515C2×Q8—1221no—
516C2×Q8—2444no—
517C2×D4—22no—
518C2×D4—21no—
519C2×D4—21no—
520C2×D4—612no—
521C2×D4—1222no—
522C2×D4—1222no—
523C2×D4—1222no—
524C2×D4—1222no—
525C2×D4—1222no—
526C2×D4—1222no—
527C2×D4—1221no—
528C2×D4—1221no—
529C2×D4—2444no—
530C2×D4—2444no—
531C2×D4—2444no—
532C2×D4—2448no—
533C2×D4C2×C4×D6112yes—
534C22×C4—22no—
535C22×C4—611no—
536C22×C4—611no—
537C22×C4—611no—
538C22×C4—611no—
539C22×C4—611no—
540C22×C4—611no—
541C22×C4—611no—
542C22×C4—611no—
543C22×C4—611no—
544C22×C4—611no—
545C22×C4—611no—
546C22×C4—611no—
547C22×C4—611no—
548C22×C4—611no—
549C22×C4—611no—
550C22×C4—1224no—
551C22×C4—1222no—
552C22×C4—1222no—
553C22×C4—1222no—
554C22×C4—1222no—
555C22×C4—1222no—
556C22×C4—1222no—
557C22×C4—2442no—
558C22×C4—2444no—
559C22×C4—2444no—
560C22×C4C2×C4×D6111yescharacteristic
561C22×C4D4×D6111yescharacteristic
562C22×C4D4×D6111yescharacteristic
563M16—42no—
564M16—1228no—
565M16—1228no—
566M16—2442no—
567C2×C8—24no—
568C2×C8—22no—
569C2×C8—22no—
570C2×C8—1224no—
571C2×C8—1222no—
572C2×C8—1222no—
573C4⋊C4—21no—
574C4⋊C4—612no—
575C4⋊C4—1222no—
576C4⋊C4—1222no—
577C4⋊C4—1221no—
578C4⋊C4C2×C4×D6112yes—
579C22⋊C4—22no—
580C22⋊C4—22no—
581C22⋊C4—1222no—
582C22⋊C4—1222no—
583C22⋊C4—1222no—
584C22⋊C4—1222no—
585C22⋊C4—1222no—
586C22⋊C4—1222no—
587C42—611no—
588C42—611no—
589C42—611no—
590C42—611no—
591C42—611no—
592C42—611no—
593C42—611no—
594C42—611no—
595C42—611no—
596C42—611no—
597C42—611no—
598C42—611no—
599C42C2×C4×D6111yescharacteristic
600C42D4×D6111yescharacteristic
601C42D4×D6111yescharacteristic
602C42C23×D6111yescharacteristic
603C23—22no—
604C23—611no—
605C23—611no—
606C23—1222no—
607C23—1222no—
608C23—1222no—
609C23—2441no—
610C23—2444no—
611C23—2444no—
612C23—2444no—
613C23C22⋊C4×D6111yescharacteristic
614Q8—42no—
615Q8—2444no—
616Q8—2442no—
617D4—24no—
618D4—44no—
619D4—42no—
620D4—42no—
621D4—1224no—
622D4—2444no—
623D4—2444no—
624D4—2444no—
625D4—2444no—
626D4—2444no—
627D4—2444no—
628D4—2442no—
629D4—2442no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—42no—
634C2×C4—42no—
635C2×C4—611no—
636C2×C4—614no—
637C2×C4—611no—
638C2×C4—611no—
639C2×C4—611no—
640C2×C4—611no—
641C2×C4—611no—
642C2×C4—1222no—
643C2×C4—1222no—
644C2×C4—1222no—
645C2×C4—1222no—
646C2×C4—1222no—
647C2×C4—1222no—
648C2×C4—1222no—
649C2×C4—1222no—
650C2×C4—1222no—
651C2×C4—1221no—
652C2×C4—1221no—
653C2×C4—1221no—
654C2×C4—1221no—
655C2×C4—1222no—
656C2×C4—2441no—
657C2×C4—2441no—
658C2×C4—2444no—
659C2×C4—2444no—
660C2×C4—2441no—
661C2×C4—2444no—
662C2×C4—2442no—
663C2×C4—2442no—
664C2×C4C22⋊C4×D6111yescharacteristic
665C2×C4C22⋊C4×D6111yescharacteristic
666C2×C4C22⋊C4×D6111yescharacteristic
667C2×C4#1451980112yes—
668C2×C4#1451980412yes—
669C2×C4C22×C4×D6111yescharacteristic
670C2×C4C2×D4×D6111yescharacteristic
671C2×C4C2×D4×D6111yescharacteristic
672C8—24no—
673C8—42no—
674C8—1224no—
675C8—2442no—
676C22—21no—
677C22—21no—
678C22—42no—
679C22—42no—
680C22—42no—
681C22—612no—
682C22—1221no—
683C22—1221no—
684C22—1221no—
685C22—1221no—
686C22—1221no—
687C22—4888no—
688C22—2444no—
689C22—2442no—
690C22—2442no—
691C22—2442no—
692C22#1683976512yes—
693C22C2×C22⋊C4×D6111yescharacteristic
694C4—21no—
695C4—21no—
696C4—42no—
697C4—612no—
698C4—1221no—
699C4—1221no—
700C4—1221no—
701C4—1221no—
702C4—1221no—
703C4—2442no—
704C4#1683976512yes—
705C4#104×D6112yes—
706C4#1684052712yes—
707C4C2×#1451980111yescharacteristic
708C4C2×#1451980411yescharacteristic
709C2—22no—
710C2—82no—
711C2—1222no—
712C2—4882no—
713C2—2441no—
714C2#2145426111yescharacteristic
715C2C2×#1683976511yescharacteristic
716C2C2×#104×D6111yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D61
commutatorC2×C4×C61C23×C4
FrattiniC42C23×D61
FittingC61×#1492C2
socleC22×C61C22×C22⋊C4
prime radical#532×D61C2
cosocleC42×C61C24
hypercenter#1492D61
hypocenterC61#17500
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C2×C4 ◁ C2×C42 ◁ #1492

Complements

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

NH ≅ G/Ntype
2. #21454451C2semidirect
3. C2×C4×#11758189C2semidirect
4. #21444271C2semidirect
5. #21444270C2semidirect
6. #21444269C2semidirect
7. #21444260C2semidirect
8. #21444234C2semidirect
9. C61×#1492C2semidirect
32. #16839814C22semidirect
33. #16839786C22semidirect
39. C4×#11758189C22semidirect
41. C2×C4×#92418C22semidirect
42. #16839491C22semidirect
43. D4⋊#92418C22semidirect
44. #16839489C22semidirect
46. C61×#423C22semidirect
47. C2×C4×C8×C61C22semidirect
48. C61×D4⋊C8C22semidirect
357. #1492D61semidirect
393. #423C2×D61semidirect
402. C2×C4×C8C2×D61semidirect
406. D4⋊C8C2×D61semidirect
407. C61#17500semidirect

Maximal subgroups

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

subgroupindex
#532×D612
#214544512
C2×C4×#117581892
#214442712
#214442702
#214442692
#214442602
#214442342
C61×#14922
#1750061