Finite Group Databasebeta

← #29610650

Subgroups — #29610650

Order 15616.

2018 conjugacy classes of subgroups.

The subgroup lattice has 758 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16839671C211yesmaximal, characteristic
2C2×#16839641C212yesmaximal, complemented
3#21444079C212yesmaximal, complemented
4#21444067C212yesmaximal, complemented
5#21444065C212yesmaximal, complemented
6#21444064C211yesmaximal, characteristic, complemented
7#21444059C212yesmaximal, complemented
8#21444058C212yesmaximal, complemented
9C61×C22⋊#95C211yesmaximal, characteristic, complemented
10C23×D244C2211yescharacteristic
11C23×C22⋊D61C2212yes—
12C22×C4⋊Dic61C2211yescharacteristic
13C22×C22⋊Dic61C2212yes—
14C22×#11758198C2212yes—
15C22×#11758198C2212yes—
16C22×#11758198C2212yes—
17C22×#11758198C2212yes—
18C22×#11758198C2212yes—
19#16839671C418yescomplemented
20#16839641—28no—
21C2×#14519684C2212yes—
22C2×#14519684C2212yes—
23C2×#14519684C2212yes—
24C2×#14519684C2212yes—
25C2×#14519684C2212yes—
26C2×#14519684C2211yescharacteristic
27C2×#14519684C2211yescharacteristic
28C24×C4×C61C2211yescharacteristic
29C22×C22⋊C4×C61C2211yescharacteristic
30C22×C22⋊C4×C61C2211yescharacteristic
31C2×#95×C61C2212yes—
32C2×#95×C61C2212yes—
33C24×D61C2312yes—
34C22×D244—42no—
35C22×D244—41no—
36C22×D244—41no—
37C22×D244—42no—
38C22×D244C2×C414yescomplemented
39C22×C22⋊D61—24no—
40C22×C22⋊D61—24no—
41C22×C22⋊D61—42no—
42C22×C22⋊D61—42no—
43C22×C22⋊D61—42no—
44C22×C22⋊D61—42no—
45C22×C22⋊D61C2×C418yes—
46C23×Dic61C2312yes—
47C23×Dic61C2312yes—
48C23×Dic61C2312yes—
49C2×C4⋊Dic61—41no—
50C2×C4⋊Dic61—42no—
51C2×C22⋊Dic61—24no—
52C2×C22⋊Dic61—42no—
53C2×C22⋊Dic61—42no—
54C2×#11758198—24no—
55C2×#11758198—24no—
56C2×#11758198—42no—
57C2×#11758198—42no—
58C2×#11758198—42no—
59C2×#11758198—42no—
60C2×#11758198—42no—
61C2×#11758198—42no—
62C2×#11758198—42no—
63C2×#11758198—42no—
64C2×#11758198—42no—
65C2×#11758198—42no—
66C2×#11758198—42no—
67C2×#11758198—42no—
68C2×#11758198C2×C418yescomplemented
69#14519684—24no—
70#14519684—24no—
71#14519684—42no—
72#14519684—42no—
73#14519684—42no—
74#14519684—41no—
75#14519684C2×C414yescomplemented
76C25×C61C2311yescharacteristic
77C23×C4×C61—42no—
78C23×C4×C61—42no—
79C23×C4×C61—41no—
80C23×C4×C61—41no—
81C23×C4×C61D414yescomplemented
82C23×C4×C61C2312yes—
83C23×C4×C61C2311yescharacteristic
84C23×C4×C61C2311yescharacteristic
85C23×C4×C61C2312yes—
86C2×C22⋊C4×C61—22no—
87C2×C22⋊C4×C61—41no—
88C2×C22⋊C4×C61—41no—
89C2×C22⋊C4×C61—41no—
90C2×C22⋊C4×C61—41no—
91C2×C22⋊C4×C61C2×C414yes—
92#95×C61—42no—
93#95×C61—42no—
94C24×C61—22no—
95C24×C61—22no—
96C24×C61—22no—
97C24×C61—22no—
98C24×C61—21no—
99C24×C61—21no—
100C24×C61—21no—
101C24×C61—21no—
102C24×C61C22×C412yes—
103C24×C61C2×D412yes—
104C24×C61#4112yes—
105C24×C61C2411yescharacteristic
106C23×D61—22no—
107C23×D61—22no—
108C23×D61—22no—
109C23×D61—22no—
110C23×D61—22no—
111C23×D61—22no—
112C23×D61—22no—
113C23×D61—22no—
114C23×D61—22no—
115C23×D61—22no—
116C23×D61—22no—
117C23×D61—22no—
118C23×D61—22no—
119C23×D61—22no—
120C23×D61C22×C414yes—
121C22×C4×C61—22no—
122C22×C4×C61—21no—
123C22×C4×C61—21no—
124C22×C4×C61—22no—
125C22×C4×C61—22no—
126C22×C4×C61—22no—
127C22×C4×C61—22no—
128C22×C4×C61—21no—
129C22×C4×C61—21no—
130C22×C4×C61—22no—
131C22×C4×C61—22no—
132C22×C4×C61—22no—
133C22×C4×C61—22no—
134C22×C4×C61—22no—
135C22×C4×C61—22no—
136C22×C4×C61—22no—
137C22×C4×C61—22no—
138C22×C4×C61—22no—
139C22×C4×C61—22no—
140C22×C4×C61—22no—
141C22×C4×C61—22no—
142C22×C4×C61—44no—
143C22×C4×C61—48no—
144C22×C4×C61—48no—
145C22×C4×C61—44no—
146C22×C4×C61—44no—
147C22×C4×C61C22×C412yes—
148C22×C4×C61C22×C412yes—
149C22×C4×C61C2×D414yes—
150C2×C22⋊D61—216no—
151C2×C22⋊D61—48no—
152C2×C22⋊D61—48no—
153C2×C22⋊D61—48no—
154C2×C22⋊D61—48no—
155C2×C22⋊D61—48no—
156C2×C22⋊D61—48no—
157C22×Dic61—22no—
158C22×Dic61—22no—
159C22×Dic61—22no—
160C22×Dic61—22no—
161C22×Dic61—22no—
162C22×Dic61—22no—
163C22×Dic61—22no—
164C22×Dic61—22no—
165C22×Dic61—22no—
166C22×Dic61—22no—
167C22×Dic61—22no—
168C22×Dic61—22no—
169C22×Dic61—22no—
170C22×Dic61—22no—
171C22×Dic61—22no—
172C22×Dic61—22no—
173C22×Dic61—22no—
174C22×Dic61—22no—
175C22×Dic61—22no—
176C22×Dic61—22no—
177C22×Dic61C22×C414yes—
178C2×D244—44no—
179C2×D244—48no—
180C2×D244—48no—
181C2×D244—44no—
182C2×D244—44no—
183C22⋊C4×C61—44no—
184C22⋊C4×C61—44no—
185C22⋊Dic61—48no—
186#11758198—48no—
187#11758198—48no—
188#11758198—48no—
189#11758198—48no—
190#11758198—48no—
191C4⋊Dic61—44no—
192C23×C61—22no—
193C23×C61—24no—
194C23×C61—24no—
195C23×C61—22no—
196C23×C61—24no—
197C23×C61—22no—
198C23×C61—24no—
199C23×C61—22no—
200C23×C61—22no—
201C23×C61—24no—
202C23×C61—24no—
203C23×C61—22no—
204C23×C61—42no—
205C23×C61—41no—
206C23×C61—41no—
207C23×C61—42no—
208C23×C61—42no—
209C23×C61—42no—
210C23×C61—41no—
211C23×C61—41no—
212C23×C61—42no—
213C23×C61—42no—
214C23×C61C4×D414yes—
215C23×C61C23×C411yescharacteristic
216C23×C61C22×D411yescharacteristic
217C23×C61C2×#4111yescharacteristic
218C23×C61H(5,𝔽2)12yes—
219C23×C61H(5,𝔽2)12yes—
220C23×C61H(5,𝔽2)11yescharacteristic
221C23×C61H(5,𝔽2)12yes—
222C23×C61H(5,𝔽2)12yes—
223C23×C61H(5,𝔽2)11yescharacteristic
224C23×C61H(5,𝔽2)11yescharacteristic
225C23×C612−1+411yescharacteristic
226C22×D61—24no—
227C22×D61—24no—
228C22×D61—24no—
229C22×D61—24no—
230C22×D61—24no—
231C22×D61—24no—
232C22×D61—24no—
233C22×D61—42no—
234C22×D61—42no—
235C22×D61—42no—
236C22×D61—42no—
237C22×D61—42no—
238C22×D61—42no—
239C22×D61—42no—
240C22×D61—42no—
241C22×D61—42no—
242C22×D61—42no—
243C22×D61—42no—
244C22×D61—42no—
245C22×D61—42no—
246C22×D61—42no—
247C22×D61—42no—
248C22×D61—42no—
249C22×D61—42no—
250C22×D61—42no—
251C22×D61—42no—
252C22×D61—42no—
253C22×D61—42no—
254C22×D61—42no—
255C22×D61—42no—
256C22×D61—42no—
257C22×D61—42no—
258C22×D61—42no—
259C22×D61—42no—
260C22×D61—42no—
261C2×C4×C61—24no—
262C2×C4×C61—22no—
263C2×C4×C61—22no—
264C2×C4×C61—24no—
265C2×C4×C61—24no—
266C2×C4×C61—24no—
267C2×C4×C61—24no—
268C2×C4×C61—416no—
269C2×C4×C61—41no—
270C2×C4×C61—42no—
271C2×C4×C61—41no—
272C2×C4×C61—42no—
273C2×C4×C61—41no—
274C2×C4×C61—42no—
275C2×C4×C61—42no—
276C2×C4×C61—42no—
277C2×C4×C61—41no—
278C2×C4×C61—42no—
279C2×C4×C61—42no—
280C2×C4×C61—42no—
281C2×C4×C61—42no—
282C2×C4×C61—42no—
283C2×C4×C61—42no—
284C2×C4×C61—42no—
285C2×C4×C61—42no—
286C22⋊D61—432no—
287C2×Dic61—24no—
288C2×Dic61—24no—
289C2×Dic61—24no—
290C2×Dic61—42no—
291C2×Dic61—42no—
292C2×Dic61—42no—
293C2×Dic61—42no—
294C2×Dic61—42no—
295C2×Dic61—42no—
296C2×Dic61—42no—
297C2×Dic61—42no—
298C2×Dic61—42no—
299C2×Dic61—42no—
300C2×Dic61—42no—
301C2×Dic61—42no—
302C2×Dic61—42no—
303C2×Dic61—42no—
304C2×Dic61—42no—
305C2×Dic61—42no—
306C2×Dic61—42no—
307C2×Dic61—42no—
308D244—416no—
309#14621—611nomaximal, Sylow
310C22×C61—28no—
311C22×C61—24no—
312C22×C61—42no—
313C22×C61—44no—
314C22×C61—42no—
315C22×C61—42no—
316C22×C61—44no—
317C22×C61—42no—
318C22×C61—42no—
319C22×C61—44no—
320C22×C61—42no—
321C22×C61C2×C4×D411yescharacteristic
322C22×C61#51812yes—
323C22×C61#51812yes—
324C22×C61#51811yescharacteristic
325C22×C61#52011yescharacteristic
326C22×C61#53412yes—
327C22×C61#53411yescharacteristic
328C22×C61#53512yes—
329C22×C61#53711yescharacteristic
330C22×C61#53812yes—
331C22×C61#53812yes—
332C22×C61#53811yescharacteristic
333C22×C61#53911yescharacteristic
334C22×C61#56012yes—
335C22×C61#56012yes—
336C22×C61#56012yes—
337C22×C61#56011yescharacteristic
338C22×C61#56011yescharacteristic
339C22×C61#56012yes—
340C22×C61#56011yescharacteristic
341C22×C61H(3,𝔽4)11yescharacteristic
342C22×C61#56212yes—
343C22×C61#56212yes—
344C2×D61—44no—
345C2×D61—44no—
346C2×D61—44no—
347C2×D61—44no—
348C2×D61—44no—
349C2×D61—44no—
350C2×D61—44no—
351C2×D61—82no—
352C2×D61—82no—
353C2×D61—82no—
354C2×D61—82no—
355C2×D61—82no—
356C2×D61—82no—
357C2×D61—82no—
358C2×D61—82no—
359C4×C61—42no—
360C4×C61—42no—
361C4×C61—44no—
362C4×C61—82no—
363Dic61—44no—
364Dic61—82no—
365Dic61—82no—
366C2×#392—611no—
367C2×#386—612no—
368#1443—612no—
369#1440—612no—
370#1439—612no—
371#1439—611no—
372#1438—612no—
373#1438—612no—
374C22⋊#95D6111yescharacteristic, complemented
375C2×C61—44no—
376C2×C61#232112yes—
377C2×C61#232511yescharacteristic
378C2×C61#237511yescharacteristic
379C2×C61#237712yes—
380C2×C61#238011yescharacteristic
381C2×C61#281211yescharacteristic
382C2×C61#281312yes—
383C2×C61#281511yescharacteristic
384C2×C61#282411yescharacteristic
385C2×C61#282512yes—
386C2×C61#282611yescharacteristic
387D61—84no—
388C23×D4—612no—
389C23×D4—611no—
390C24×C4C2×D6111yescharacteristic
391C22×C4⋊C4—611no—
392C22×C22⋊C4—612no—
393C22×C22⋊C4—612no—
394C22×C22⋊C4—612no—
395C22×C22⋊C4—612no—
396C22×C22⋊C4—612no—
397C22×C22⋊C4—612no—
398C22×C22⋊C4C2×D6111yescharacteristic
399C22×C22⋊C4C2×D6111yescharacteristic
400#392—618no—
401#386—1228no—
402C2×#95—611no—
403C2×#95—612no—
404C2×#95—612no—
405C2×#95—612no—
406C2×#95—612no—
407C2×#95—612no—
408C2×#95—611no—
409C2×#95C2×D6112yes—
410C2×#95C2×D6112yes—
411C61#1462111yescharacteristic, complemented, Sylow
412C25—612no—
413C25C22×D6111yescharacteristic
414C22×D4—618no—
415C22×D4—614no—
416C22×D4—1224no—
417C22×D4—1224no—
418C22×D4—2442no—
419C22×D4—2441no—
420C22×D4—2441no—
421C22×D4—2442no—
422C22×D4—2442no—
423C22×D4—2442no—
424C22×D4—2442no—
425C22×D4—2442no—
426C23×C4—42no—
427C23×C4—42no—
428C23×C4—41no—
429C23×C4—41no—
430C23×C4—612no—
431C23×C4—612no—
432C23×C4—612no—
433C23×C4D24414yescomplemented
434C23×C4C22×D6112yes—
435C23×C4C22×D6111yescharacteristic
436C23×C4C22×D6111yescharacteristic
437C23×C4C22×D6112yes—
438C2×C4⋊C4—2441no—
439C2×C4⋊C4—2442no—
440C2×C22⋊C4—22no—
441C2×C22⋊C4—41no—
442C2×C22⋊C4—41no—
443C2×C22⋊C4—41no—
444C2×C22⋊C4—41no—
445C2×C22⋊C4—618no—
446C2×C22⋊C4—1224no—
447C2×C22⋊C4—1224no—
448C2×C22⋊C4—1224no—
449C2×C22⋊C4—2442no—
450C2×C22⋊C4—2442no—
451C2×C22⋊C4—2442no—
452C2×C22⋊C4—2442no—
453C2×C22⋊C4—2442no—
454C2×C22⋊C4—2442no—
455C2×C22⋊C4—2442no—
456C2×C22⋊C4—2442no—
457C2×C22⋊C4—2442no—
458C2×C22⋊C4—2442no—
459C2×C22⋊C4—2442no—
460C2×C22⋊C4—2442no—
461C2×C22⋊C4—2442no—
462C2×C22⋊C4—2442no—
463C2×C22⋊C4C4×D6114yes—
464#95—42no—
465#95—42no—
466#95—614no—
467#95—1224no—
468#95—1224no—
469#95—2441no—
470#95—2442no—
471#95—2442no—
472#95—2442no—
473C24—21no—
474C24—21no—
475C24—21no—
476C24—22no—
477C24—22no—
478C24—22no—
479C24—22no—
480C24—21no—
481C24—614no—
482C24—1222no—
483C24—1222no—
484C24—1222no—
485C24—1222no—
486C24—1222no—
487C24—1222no—
488C24—1222no—
489C24—1222no—
490C24—1222no—
491C24—1222no—
492C24—1222no—
493C24—1222no—
494C24—1222no—
495C24—1222no—
496C24C2×C4×D6112yes—
497C24C2×D24412yes—
498C24#1175822212yes—
499C24C23×D6111yescharacteristic
500C2×D4—12216no—
501C2×D4—2448no—
502C2×D4—2444no—
503C2×D4—2448no—
504C2×D4—2444no—
505C2×D4—2444no—
506C2×D4—2448no—
507C2×D4—2448no—
508C2×D4—2448no—
509C2×D4—2448no—
510C2×D4—2448no—
511C2×D4—2448no—
512C22×C4—22no—
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—22no—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—22no—
521C22×C4—22no—
522C22×C4—22no—
523C22×C4—22no—
524C22×C4—22no—
525C22×C4—22no—
526C22×C4—22no—
527C22×C4—22no—
528C22×C4—22no—
529C22×C4—22no—
530C22×C4—22no—
531C22×C4—22no—
532C22×C4—22no—
533C22×C4—44no—
534C22×C4—48no—
535C22×C4—48no—
536C22×C4—44no—
537C22×C4—44no—
538C22×C4—614no—
539C22×C4—1222no—
540C22×C4—1222no—
541C22×C4—1222no—
542C22×C4—1222no—
543C22×C4—1222no—
544C22×C4—1222no—
545C22×C4—1222no—
546C22×C4—1222no—
547C22×C4—1222no—
548C22×C4—1222no—
549C22×C4—1222no—
550C22×C4—1222no—
551C22×C4—1222no—
552C22×C4—1222no—
553C22×C4—1222no—
554C22×C4—1222no—
555C22×C4—1222no—
556C22×C4—1222no—
557C22×C4—1222no—
558C22×C4—1222no—
559C22×C4C2×C4×D6112yes—
560C22×C4C2×C4×D6112yes—
561C22×C4C2×D24414yes—
562C4⋊C4—2444no—
563C22⋊C4—44no—
564C22⋊C4—44no—
565C22⋊C4—2448no—
566C22⋊C4—2448no—
567C22⋊C4—2448no—
568C22⋊C4—2448no—
569C22⋊C4—2448no—
570C22⋊C4—2448no—
571C23—24no—
572C23—24no—
573C23—22no—
574C23—22no—
575C23—24no—
576C23—22no—
577C23—24no—
578C23—22no—
579C23—24no—
580C23—24no—
581C23—22no—
582C23—22no—
583C23—42no—
584C23—42no—
585C23—42no—
586C23—41no—
587C23—42no—
588C23—41no—
589C23—41no—
590C23—41no—
591C23—42no—
592C23—42no—
593C23—1224no—
594C23—1224no—
595C23—1224no—
596C23—1224no—
597C23—1224no—
598C23—1224no—
599C23—1224no—
600C23—2442no—
601C23—2442no—
602C23—2442no—
603C23—2442no—
604C23—2442no—
605C23—2442no—
606C23—2442no—
607C23—2442no—
608C23—2442no—
609C23—2442no—
610C23—2442no—
611C23—2442no—
612C23—2442no—
613C23—2442no—
614C23—2442no—
615C23—2442no—
616C23—2442no—
617C23—2442no—
618C23—2442no—
619C23—2442no—
620C23—2442no—
621C23—2442no—
622C23—2442no—
623C23—2442no—
624C23—2442no—
625C23—2442no—
626C23—2442no—
627C23—2442no—
628C23C4×D24414yes—
629C23C22×C4×D6111yescharacteristic
630C23C22×D24411yescharacteristic
631C23C2×#1175822211yescharacteristic
632C23#1451982212yes—
633C23#1451982212yes—
634C23#1451982211yescharacteristic
635C23#1451982211yescharacteristic
636C23#1451982211yescharacteristic
637C23#1451982312yes—
638C23#1451982312yes—
639C23#1451982511yescharacteristic
640D4—24416no—
641D4—24432no—
642C2×C4—24no—
643C2×C4—24no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—24no—
647C2×C4—24no—
648C2×C4—24no—
649C2×C4—416no—
650C2×C4—42no—
651C2×C4—42no—
652C2×C4—41no—
653C2×C4—42no—
654C2×C4—42no—
655C2×C4—42no—
656C2×C4—41no—
657C2×C4—41no—
658C2×C4—42no—
659C2×C4—41no—
660C2×C4—42no—
661C2×C4—42no—
662C2×C4—42no—
663C2×C4—42no—
664C2×C4—42no—
665C2×C4—42no—
666C2×C4—42no—
667C2×C4—1224no—
668C2×C4—1224no—
669C2×C4—1224no—
670C2×C4—2442no—
671C2×C4—2442no—
672C2×C4—2442no—
673C2×C4—2442no—
674C2×C4—2442no—
675C2×C4—2442no—
676C2×C4—2442no—
677C2×C4—2442no—
678C2×C4—2442no—
679C2×C4—2442no—
680C2×C4—2442no—
681C2×C4—2442no—
682C2×C4—2442no—
683C2×C4—2442no—
684C2×C4—2442no—
685C2×C4—2442no—
686C2×C4—2442no—
687C2×C4—2442no—
688C22—28no—
689C22—24no—
690C22—44no—
691C22—42no—
692C22—42no—
693C22—42no—
694C22—44no—
695C22—42no—
696C22—42no—
697C22—42no—
698C22—44no—
699C22—4882no—
700C22—4882no—
701C22—4882no—
702C22—4882no—
703C22—4882no—
704C22—4882no—
705C22—4882no—
706C22—4882no—
707C22—2444no—
708C22—2444no—
709C22—2444no—
710C22—2444no—
711C22—2444no—
712C22—2444no—
713C22—2444no—
714C22C2×C4×D24411yescharacteristic
715C22#1684023412yes—
716C22#1684023412yes—
717C22#1684023511yescharacteristic
718C22#1684024311yescharacteristic
719C22#1684032411yescharacteristic
720C22#1684032412yes—
721C22#1684033112yes—
722C22#1684034311yescharacteristic
723C22#1684034512yes—
724C22#1684034512yes—
725C22#1684035011yescharacteristic
726C22#1684035911yescharacteristic
727C22#1684050012yes—
728C22#1684050012yes—
729C22#1684050112yes—
730C22#1684050111yescharacteristic
731C22#1684050212yes—
732C22#1684050211yescharacteristic
733C22#1684050211yescharacteristic
734C22#1684050511yescharacteristic
735C22#1684050812yes—
736C22#1684050812yes—
737C4—42no—
738C4—44no—
739C4—42no—
740C4—82no—
741C4—4882no—
742C4—4882no—
743C4—2444no—
744C2—44no—
745C2—4884no—
746C2#2144847912yes—
747C2#2144852211yescharacteristic
748C2#2144895711yescharacteristic
749C2#2144897512yes—
750C2#2144899411yescharacteristic
751C2#2145381611yescharacteristic
752C2#2145382312yes—
753C2#2145384311yescharacteristic
754C2#2145389911yescharacteristic
755C2#2145390512yes—
756C2#2145391211yescharacteristic
subgroupG/H
center, FrattiniC24C23×D61
commutatorC23×C61C23×C4
FittingC61×C22⋊#95C2
socle, cosocleC24×C61C24
prime radicalC2×#16839671C2
hypercenterC22⋊#95D61
hypocenterC61#14621
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C24 ◁ C22⋊#95

Complements

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

NH ≅ G/Ntype
2. C2×#16839641C2semidirect
3. #21444079C2semidirect
4. #21444067C2semidirect
5. #21444065C2semidirect
6. #21444064C2semidirect
7. #21444059C2semidirect
8. #21444058C2semidirect
9. C61×C22⋊#95C2semidirect
19. #16839671C4semidirect
38. C22×D244C2×C4semidirect
68. C2×#11758198C2×C4semidirect
75. #14519684C2×C4semidirect
81. C23×C4×C61D4semidirect
374. C22⋊#95D61semidirect
411. C61#14621semidirect
433. C23×C4D244semidirect

Maximal subgroups

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

subgroupindex
C2×#168396712
C2×#168396412
#214440792
#214440672
#214440652
#214440642
#214440592
#214440582
C61×C22⋊#952
#1462161