Finite Group Databasebeta

← C2×#21446824 #29706805

Subgroups — C2×#21446824 #29706805

Order 15616.

2526 conjugacy classes of subgroups.

The subgroup lattice has 688 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C23×#11758190C211yesmaximal, characteristic, complemented
2C22×#14519756C211yesmaximal, characteristic, complemented
3C22×#14519751C211yesmaximal, characteristic
4C22×#14519702C211yesmaximal, characteristic, complemented
5C22×#14519699C211yesmaximal, characteristic, complemented
6#21446824C218yesmaximal, direct product factor
7C2×#16839525C211yesmaximal, characteristic, complemented
8C22×C22⋊C8×C61C211yesmaximal, characteristic, complemented
9C23×Dic122C2211yescharacteristic
10C23×D244C2211yescharacteristic
11C23×C22⋊D61—21no—
12C22×#11758190—24no—
13C22×#11758190—24no—
14C22×#11758190—24no—
15C22×#11758190C2214yescomplemented
16C2×#14519756—24no—
17C2×#14519756—22no—
18C2×#14519756—24no—
19C2×#14519756C2214yescomplemented
20C2×#14519751—24no—
21C2×#14519751—22no—
22C2×#14519751—24no—
23C2×#14519751C2214yes—
24C22×C4⋊Dic61C2211yescharacteristic
25C22×C4⋊Dic61C2211yescharacteristic
26C22×#11758196—21no—
27C22×C22⋊Dic61—21no—
28C22×#11758198—21no—
29C2×#14519702—24no—
30C2×#14519702C2214yescomplemented
31C2×#14519699—24no—
32C2×#14519699C2214yescomplemented
33#16839525C2214yescomplemented
34C24×C4×C61C2211yescharacteristic
35C23×C8×C61C2211yescharacteristic
36C23×C8×C61C2211yescharacteristic
37C2×C22⋊C8×C61—24no—
38C2×C22⋊C8×C61C2214yescomplemented
39C24×D61—21no—
40C22×Dic122—22no—
41C22×Dic122—22no—
42C22×Dic122—22no—
43C22×Dic122—22no—
44C22×Dic122—21no—
45C22×Dic122—22no—
46C22×Dic122D414yescomplemented
47C22×Dic122C2312yes—
48C22×D244—22no—
49C22×D244—22no—
50C22×D244—22no—
51C22×D244—22no—
52C22×D244—21no—
53C22×D244—22no—
54C22×D244D414yes—
55C22×D244C2312yes—
56C22×C22⋊D61—28no—
57C22×C22⋊D61—24no—
58C22×C22⋊D61—44no—
59C22×C22⋊D61—44no—
60C23×Dic61—21no—
61C23×Dic61—21no—
62C23×Dic61—21no—
63C2×#11758190—232no—
64C2×#11758190—28no—
65C2×#11758190—28no—
66C2×#11758190—28no—
67#14519756—216no—
68#14519756—28no—
69#14519756—28no—
70#14519751—216no—
71#14519751—28no—
72#14519751—28no—
73C2×C4⋊Dic61—21no—
74C2×C4⋊Dic61—22no—
75C2×C4⋊Dic61—21no—
76C2×C4⋊Dic61—22no—
77C2×C4⋊Dic61D414yes—
78C2×C4⋊Dic61D414yescomplemented
79C2×C4⋊Dic61C2312yes—
80C2×C4⋊Dic61C2312yes—
81C2×#11758196—28no—
82C2×#11758196—24no—
83C2×C22⋊Dic61—28no—
84C2×C22⋊Dic61—24no—
85C2×#11758198—28no—
86C2×#11758198—24no—
87#14519702—28no—
88#14519699—28no—
89C25×C61D411yescharacteristic
90C23×C4×C61—22no—
91C23×C4×C61—22no—
92C23×C4×C61—22no—
93C23×C4×C61—22no—
94C23×C4×C61—22no—
95C23×C4×C61—22no—
96C23×C4×C61D411yescharacteristic
97C23×C4×C61D412yes—
98C23×C4×C61C2312yes—
99C23×C4×C61C2311yescharacteristic
100C22×C8×C61—22no—
101C22×C8×C61—22no—
102C22×C8×C61—22no—
103C22×C8×C61—22no—
104C22×C8×C61—22no—
105C22×C8×C61D414yescomplemented
106C22×C8×C61C2312yes—
107C22×C8×C61C2312yes—
108C22⋊C8×C61—28no—
109C24×C61—22no—
110C24×C61—22no—
111C24×C61—22no—
112C24×C61—22no—
113C24×C61—22no—
114C24×C61—22no—
115C24×C61SD1614yescomplemented
116C24×C61C2×D412yes—
117C24×C61C2×D411yescharacteristic
118C23×D61—24no—
119C23×D61—22no—
120C23×D61—42no—
121C23×D61—42no—
122C23×D61—42no—
123C23×D61—42no—
124C23×D61—42no—
125C23×D61—42no—
126C22×C4×C61—22no—
127C22×C4×C61—22no—
128C22×C4×C61—22no—
129C22×C4×C61—24no—
130C22×C4×C61—24no—
131C22×C4×C61—24no—
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—44no—
139C22×C4×C61—44no—
140C22×C4×C61—44no—
141C22×C4×C61—44no—
142C22×C4×C61C2×D412yes—
143C22×C4×C61C2×D411yescharacteristic
144C22×C4×C61C2×D412yes—
145C22×C4×C61C2×D412yes—
146C22×C4×C61C2×D412yes—
147C22×C4×C61C2×D412yes—
148C22×C4×C61C2×D412yes—
149C22×C4×C61#4112yes—
150C22×C4×C61C2411yescharacteristic
151C2×C22⋊D61—216no—
152C2×C22⋊D61—48no—
153C2×C22⋊D61—432no—
154C2×C22⋊D61—48no—
155C22×Dic61—24no—
156C22×Dic61—24no—
157C22×Dic61—24no—
158C22×Dic61—22no—
159C22×Dic61—22no—
160C22×Dic61—22no—
161C22×Dic61—42no—
162C22×Dic61—42no—
163C22×Dic61—42no—
164C22×Dic61—42no—
165C22×Dic61—42no—
166C22×Dic61—42no—
167C2×D244—28no—
168C2×D244—28no—
169C2×D244—22no—
170C2×D244—22no—
171C2×D244—22no—
172C2×D244—22no—
173C2×D244—24no—
174C2×D244—22no—
175C2×D244—42no—
176C2×D244—44no—
177C2×D244—42no—
178C2×D244—44no—
179C2×D244C2×D414yes—
180C2×Dic122—28no—
181C2×Dic122—28no—
182C2×Dic122—22no—
183C2×Dic122—22no—
184C2×Dic122—22no—
185C2×Dic122—22no—
186C2×Dic122—24no—
187C2×Dic122—22no—
188C2×Dic122—42no—
189C2×Dic122—44no—
190C2×Dic122—42no—
191C2×Dic122—44no—
192C2×Dic122C2×D414yescomplemented
193C2×C8×C61—28no—
194C2×C8×C61—22no—
195C2×C8×C61—22no—
196C2×C8×C61—22no—
197C2×C8×C61—22no—
198C2×C8×C61—22no—
199C2×C8×C61—44no—
200C2×C8×C61C2×D414yescomplemented
201C22⋊Dic61—216no—
202#11758198—216no—
203C4⋊Dic61—24no—
204C4⋊Dic61—24no—
205C4⋊Dic61—22no—
206C4⋊Dic61—22no—
207C4⋊Dic61C2×D414yes—
208C4⋊Dic61C2×D414yescomplemented
209#11758196—216no—
210#11758190—232no—
211C23×C61—22no—
212C23×C61—22no—
213C23×C61—22no—
214C23×C61—22no—
215C23×C61—22no—
216C23×C61—22no—
217C23×C61—28no—
218C23×C61—28no—
219C23×C61—28no—
220C23×C61—44no—
221C23×C61—44no—
222C23×C61—44no—
223C23×C61—44no—
224C23×C61#12012yes—
225C23×C61#12012yes—
226C23×C61#12112yes—
227C23×C61C2×SD1612yes—
228C23×C61C2×SD1614yescomplemented
229C23×C61#13512yes—
230C23×C61AGL(1,ℤ/8)12yes—
231C23×C61#13712yes—
232C23×C61C22×D411yescharacteristic
233C22×D61—24no—
234C22×D61—42no—
235C22×D61—42no—
236C22×D61—42no—
237C22×D61—42no—
238C22×D61—42no—
239C22×D61—42no—
240C22×D61—48no—
241C22×D61—48no—
242C22×D61—48no—
243C22×D61—84no—
244C22×D61—84no—
245C22×D61—84no—
246C22×D61—84no—
247C2×C4×C61—22no—
248C2×C4×C61—22no—
249C2×C4×C61—22no—
250C2×C4×C61—44no—
251C2×C4×C61—42no—
252C2×C4×C61—42no—
253C2×C4×C61—42no—
254C2×C4×C61—42no—
255C2×C4×C61—48no—
256C2×C4×C61#12014yes—
257C2×C4×C61#12012yes—
258C2×C4×C61#12012yes—
259C2×C4×C61#12114yes—
260C2×C4×C61#12114yes—
261C2×C4×C61#12112yes—
262C2×C4×C61#12714yes—
263C2×C4×C61C22×D411yescharacteristic
264C2×C4×C61C22×D411yescharacteristic
265C2×C4×C61C22×D411yescharacteristic
266C2×C4×C61C22×D411yescharacteristic
267C2×C4×C61C22×D411yescharacteristic
268C2×C4×C61C2×#4111yescharacteristic
269C22⋊D61—432no—
270C2×Dic61—24no—
271C2×Dic61—24no—
272C2×Dic61—24no—
273C2×Dic61—42no—
274C2×Dic61—42no—
275C2×Dic61—42no—
276C2×Dic61—42no—
277C2×Dic61—42no—
278C2×Dic61—42no—
279C2×Dic61—48no—
280C2×Dic61—48no—
281C2×Dic61—48no—
282D244—24no—
283D244—24no—
284D244—42no—
285D244—42no—
286D244—48no—
287Dic122—24no—
288Dic122—24no—
289Dic122—42no—
290Dic122—42no—
291Dic122—48no—
292C8×C61—24no—
293C8×C61—42no—
294C2×#2000—611nomaximal, Sylow
295C22×C61—24no—
296C22×C61—24no—
297C22×C61—24no—
298C22×C61—42no—
299C22×C61—42no—
300C22×C61—42no—
301C22×C61—416no—
302C22×C61—42no—
303C22×C61#39214yes—
304C22×C61#44814yes—
305C22×C61#44914yes—
306C22×C61#45014yes—
307C22×C61#45214yes—
308C22×C61#46514yes—
309C22×C61#46814yes—
310C22×C61C2×#12011yescharacteristic
311C22×C61C2×#12011yescharacteristic
312C22×C61C2×#12111yescharacteristic
313C22×C61C22×SD1611yescharacteristic
314C22×C61C2×#13511yescharacteristic
315C22×C61C2×AGL(1,ℤ/8)11yescharacteristic
316C22×C61C2×#13711yescharacteristic
317C2×D61—44no—
318C2×D61—44no—
319C2×D61—44no—
320C2×D61—82no—
321C2×D61—82no—
322C2×D61—816no—
323C2×D61—82no—
324C2×D61—82no—
325C4×C61—42no—
326C4×C61#39214yes—
327C4×C61C2×#12011yescharacteristic
328C4×C61C2×#12111yescharacteristic
329C4×C61C2×#12111yescharacteristic
330C4×C61C2×#12711yescharacteristic
331Dic61—44no—
332Dic61—44no—
333Dic61—44no—
334C23×SD16—611no—
335C22×C22⋊Q8—611no—
336C22×#121—611no—
337C22×#103—611no—
338C22×#102—611no—
339C22×C22⋊C8D6111yescharacteristic, complemented
340#2000—618no—
341C2×#340—611no—
342C2×C61—44no—
343C2×C61#200018yescomplemented
344C2×C61C2×#39211yescharacteristic
345C2×C61C2×#45011yescharacteristic
346C2×C61C2×#44811yescharacteristic
347C2×C61C2×#44911yescharacteristic
348C2×C61C2×#45211yescharacteristic
349C2×C61C2×#46511yescharacteristic
350C2×C61C2×#46811yescharacteristic
351D61—84no—
352C23×Q8—611no—
353C23×D4—611no—
354C23×D4—1221no—
355C24×C4C2×D6111yescharacteristic
356C22×SD16—614no—
357C22×SD16—1224no—
358C22×SD16—1224no—
359C22×SD16—1224no—
360C23×C8C2×D6111yescharacteristic
361C23×C8C2×D6111yescharacteristic
362C2×C22⋊Q8—614no—
363C2×C22⋊Q8—1224no—
364C2×C22⋊Q8—1224no—
365C2×C22⋊Q8—1222no—
366C2×#121—614no—
367C2×#121—1224no—
368C2×#121—1224no—
369C2×#121—1222no—
370C22×C4⋊C4—611no—
371C22×C4⋊C4—611no—
372C22×C4⋊C4—1221no—
373C22×C22⋊C4—1221no—
374C22×C22⋊C4—1221no—
375C2×#103—614no—
376C2×#103—1224no—
377C2×#102—614no—
378C2×#102—1224no—
379C2×C22⋊C8—24no—
380C2×C22⋊C8C2×D6114yescomplemented
381#340—614no—
382C61C2×#200011yescharacteristic, complemented, Sylow
383C25—1221no—
384C25D24411yescharacteristic
385C22×Q8—614no—
386C22×Q8—612no—
387C22×Q8—1221no—
388C22×Q8—1222no—
389C22×Q8—1222no—
390C22×Q8—1222no—
391C22×Q8—1222no—
392C22×Q8—1222no—
393C22×D4—614no—
394C22×D4—612no—
395C22×D4—1228no—
396C22×D4—1224no—
397C22×D4—1221no—
398C22×D4—1222no—
399C22×D4—1222no—
400C22×D4—1222no—
401C22×D4—1222no—
402C22×D4—1222no—
403C22×D4—2444no—
404C22×D4—2444no—
405C23×C4—22no—
406C23×C4—22no—
407C23×C4—22no—
408C23×C4—22no—
409C23×C4—22no—
410C23×C4—22no—
411C23×C4—1221no—
412C23×C4—1221no—
413C23×C4—1221no—
414C23×C4D24412yes—
415C23×C4D24411yescharacteristic
416C23×C4C22×D6112yes—
417C23×C4C22×D6111yescharacteristic
418C2×SD16—1228no—
419C2×SD16—1228no—
420C2×SD16—12232no—
421C2×SD16—1228no—
422C22×C8—22no—
423C22×C8—22no—
424C22×C8—22no—
425C22×C8—22no—
426C22×C8—22no—
427C22×C8C22⋊D6114yescomplemented
428C22×C8C22×D6112yes—
429C22×C8C22×D6112yes—
430C22⋊Q8—1228no—
431C22⋊Q8—1228no—
432C22⋊Q8—12216no—
433#121—1228no—
434#121—1228no—
435#121—12216no—
436C2×C4⋊C4—614no—
437C2×C4⋊C4—614no—
438C2×C4⋊C4—612no—
439C2×C4⋊C4—612no—
440C2×C4⋊C4—1228no—
441C2×C4⋊C4—1221no—
442C2×C4⋊C4—1221no—
443C2×C4⋊C4—1224no—
444C2×C4⋊C4—1222no—
445C2×C4⋊C4—1222no—
446C2×C22⋊C4—1228no—
447C2×C22⋊C4—1228no—
448C2×C22⋊C4—1224no—
449C2×C22⋊C4—1224no—
450#103—1228no—
451#102—1228no—
452C22⋊C8—28no—
453C24—22no—
454C24—22no—
455C24—22no—
456C24—22no—
457C24—22no—
458C24—22no—
459C24—1222no—
460C24—1224no—
461C24—2442no—
462C24—2442no—
463C24—2442no—
464C24—2442no—
465C24—2442no—
466C24—2442no—
467C24#1175819014yescomplemented
468C24C2×D24412yes—
469C24C2×D24411yescharacteristic
470C2×Q8—614no—
471C2×Q8—1222no—
472C2×Q8—1224no—
473C2×Q8—1222no—
474C2×Q8—1222no—
475C2×Q8—1222no—
476C2×Q8—1222no—
477C2×Q8—1228no—
478C2×Q8—1228no—
479C2×Q8—2442no—
480C2×Q8—2444no—
481C2×Q8—2442no—
482C2×Q8—2444no—
483C2×D4—614no—
484C2×D4—12216no—
485C2×D4—1222no—
486C2×D4—1222no—
487C2×D4—1222no—
488C2×D4—1222no—
489C2×D4—1222no—
490C2×D4—1228no—
491C2×D4—1224no—
492C2×D4—1228no—
493C2×D4—2448no—
494C2×D4—24432no—
495C2×D4—2448no—
496C2×D4—2442no—
497C2×D4—2444no—
498C2×D4—2442no—
499C2×D4—2444no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—22no—
509C22×C4—24no—
510C22×C4—24no—
511C22×C4—24no—
512C22×C4—44no—
513C22×C4—44no—
514C22×C4—44no—
515C22×C4—44no—
516C22×C4—1222no—
517C22×C4—1222no—
518C22×C4—1222no—
519C22×C4—1224no—
520C22×C4—1224no—
521C22×C4—1224no—
522C22×C4—2442no—
523C22×C4—2442no—
524C22×C4—2442no—
525C22×C4—2442no—
526C22×C4—2442no—
527C22×C4—2442no—
528C22×C4C2×D24412yes—
529C22×C4C2×D24411yescharacteristic
530C22×C4#1175822212yes—
531C22×C4D4×D6112yes—
532C22×C4D4×D6112yes—
533C22×C4D4×D6112yes—
534C22×C4D4×D6112yes—
535C22×C4C2×C22⋊D6112yes—
536C22×C4C23×D6111yescharacteristic
537SD16—12232no—
538C2×C8—22no—
539C2×C8—22no—
540C2×C8—28no—
541C2×C8—22no—
542C2×C8—22no—
543C2×C8—22no—
544C2×C8—44no—
545C2×C8C2×C22⋊D6114yescomplemented
546C4⋊C4—614no—
547C4⋊C4—614no—
548C4⋊C4—12216no—
549C4⋊C4—1222no—
550C4⋊C4—1222no—
551C4⋊C4—1224no—
552C4⋊C4—1224no—
553C22⋊C4—12216no—
554C22⋊C4—12216no—
555C23—28no—
556C23—22no—
557C23—22no—
558C23—22no—
559C23—22no—
560C23—22no—
561C23—22no—
562C23—28no—
563C23—28no—
564C23—44no—
565C23—44no—
566C23—44no—
567C23—44no—
568C23—1224no—
569C23—4884no—
570C23—4884no—
571C23—4884no—
572C23—4884no—
573C23—2442no—
574C23—2442no—
575C23—2442no—
576C23—2442no—
577C23—2442no—
578C23—2442no—
579C23—2448no—
580C23—2448no—
581C23—2448no—
582C23#1451974712yes—
583C23#1451974712yes—
584C23#1451975112yes—
585C23C2×#1175819012yes—
586C23C2×#1175819014yescomplemented
587C23#1451979912yes—
588C23#1451980512yes—
589C23#1451981012yes—
590C23C22×D24411yescharacteristic
591Q8—1224no—
592Q8—1224no—
593Q8—2442no—
594Q8—2442no—
595Q8—2448no—
596D4—1224no—
597D4—1224no—
598D4—24432no—
599D4—2442no—
600D4—2442no—
601D4—2448no—
602C2×C4—22no—
603C2×C4—22no—
604C2×C4—22no—
605C2×C4—44no—
606C2×C4—42no—
607C2×C4—42no—
608C2×C4—42no—
609C2×C4—42no—
610C2×C4—48no—
611C2×C4—1224no—
612C2×C4—1224no—
613C2×C4—1224no—
614C2×C4—2442no—
615C2×C4—2442no—
616C2×C4—2442no—
617C2×C4—2442no—
618C2×C4—2442no—
619C2×C4—2442no—
620C2×C4—2448no—
621C2×C4—2448no—
622C2×C4—2448no—
623C2×C4#1451974514yes—
624C2×C4#1451974712yes—
625C2×C4#1451974712yes—
626C2×C4#1451975014yes—
627C2×C4#1451975014yes—
628C2×C4#1451975112yes—
629C2×C4#1451977314yes—
630C2×C4C2×D4×D6111yescharacteristic
631C2×C4C2×D4×D6111yescharacteristic
632C2×C4C2×D4×D6111yescharacteristic
633C2×C4C2×D4×D6111yescharacteristic
634C2×C4C22×C22⋊D6111yescharacteristic
635C2×C4C2×#1175822211yescharacteristic
636C8—24no—
637C8—42no—
638C22—24no—
639C22—24no—
640C22—24no—
641C22—42no—
642C22—42no—
643C22—416no—
644C22—42no—
645C22—42no—
646C22—4882no—
647C22—4882no—
648C22—4882no—
649C22—48816no—
650C22—4882no—
651C22—2444no—
652C22—2444no—
653C22—2444no—
654C22#1683967114yes—
655C22#1683990314yes—
656C22#1683990914yes—
657C22#1683991514yes—
658C22#1683992614yes—
659C22#1683999114yes—
660C22#1684000814yes—
661C22C2×#1451974711yescharacteristic
662C22C2×#1451974711yescharacteristic
663C22C2×#1451975111yescharacteristic
664C22C22×#1175819011yescharacteristic
665C22C2×#1451979911yescharacteristic
666C22C2×#1451980511yescharacteristic
667C22C2×#1451981011yescharacteristic
668C4—42no—
669C4—2444no—
670C4—2444no—
671C4—2444no—
672C4#1683967114yes—
673C4C2×#1451974511yescharacteristic
674C4C2×#1451975011yescharacteristic
675C4C2×#1451975011yescharacteristic
676C4C2×#1451977311yescharacteristic
677C2—44no—
678C2—4884no—
679C2#2144682418yesdirect product factor
680C2C2×#1683967111yescharacteristic
681C2C2×#1683991511yescharacteristic
682C2C2×#1683990311yescharacteristic
683C2C2×#1683990911yescharacteristic
684C2C2×#1683992611yescharacteristic
685C2C2×#1683999111yescharacteristic
686C2C2×#1684000811yescharacteristic
subgroupG/H
centerC24C2×D244
commutator, cosocleC22×C4×C61C24
FrattiniC22×C4C23×D61
FittingC22×C22⋊C8×C61C2
socleC24×C61C2×D4
prime radicalC22×#14519751C2
hypercenterC22×C22⋊C8D61
hypocenterC61C2×#2000
LCSG ▷ C22×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C24 ◁ C24×C4 ◁ C22×C22⋊C8

Complements

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

NH ≅ G/Ntype
1. C23×#11758190C2semidirect
2. C22×#14519756C2semidirect
4. C22×#14519702C2semidirect
5. C22×#14519699C2semidirect
6. #21446824C2direct (N × H)
7. C2×#16839525C2semidirect
8. C22×C22⋊C8×C61C2semidirect
15. C22×#11758190C22semidirect
19. C2×#14519756C22semidirect
30. C2×#14519702C22semidirect
32. C2×#14519699C22semidirect
33. #16839525C22semidirect
38. C2×C22⋊C8×C61C22semidirect
46. C22×Dic122D4semidirect
78. C2×C4⋊Dic61D4semidirect
105. C22×C8×C61D4semidirect
115. C24×C61SD16semidirect
192. C2×Dic122C2×D4semidirect
200. C2×C8×C61C2×D4semidirect
208. C4⋊Dic61C2×D4semidirect
228. C23×C61C2×SD16semidirect
339. C22×C22⋊C8D61semidirect
343. C2×C61#2000semidirect
380. C2×C22⋊C8C2×D61semidirect
382. C61C2×#2000semidirect
427. C22×C8C22⋊D61semidirect
467. C24#11758190semidirect
545. C2×C8C2×C22⋊D61semidirect
586. C23C2×#11758190semidirect
679. C2#21446824direct (N × H)

Maximal subgroups

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

subgroupindex
C23×#117581902
C22×#145197562
C22×#145197512
C22×#145197022
C22×#145196992
#214468242
C2×#168395252
C22×C22⋊C8×C612
C2×#200061