Finite Group Databasebeta

← #28510693

Subgroups — #28510693

Order 15104.

2222 conjugacy classes of subgroups.

The subgroup lattice has 700 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C23×C4⋊Dic59C211yesmaximal, characteristic
2C2×#16837285C212yesmaximal, complemented
3C2×#16837260C211yesmaximal, characteristic
4C2×C22⋊C4×Dic59C211yesmaximal, characteristic
5#21422365C212yesmaximal, complemented
6#21422348C212yesmaximal, complemented
7#21422330C212yesmaximal, complemented
8#21422319C211yesmaximal, characteristic
9#21422318C211yesmaximal, characteristic
10#21422318C211yesmaximal, characteristic
11C59×C22⋊#95C211yesmaximal, characteristic
12C24×Dic59C2211yescharacteristic
13C24×Dic59C2211yescharacteristic
14C22×C4⋊Dic59—28no—
15C22×C4⋊Dic59C418yescomplemented
16C22×C4⋊Dic59C2211yescharacteristic
17C22×C4⋊Dic59C2211yescharacteristic
18C22×C4⋊Dic59C2211yescharacteristic
19C22×C4⋊Dic59C2211yescharacteristic
20C22×Dic59⋊C4C2212yes—
21C22×C22⋊Dic59C2211yescharacteristic
22C22×C22⋊Dic59C2211yescharacteristic
23C22×C4×Dic59C2212yes—
24#16837285—28no—
25#16837260—24no—
26C22⋊C4×Dic59—24no—
27C2×C59⋊#95C2212yes—
28C2×C59⋊#95C2212yes—
29C2×C59⋊#95C2212yes—
30C2×C59⋊#95C2212yes—
31C2×C59⋊#95C2212yes—
32C2×C59⋊#95C2212yes—
33C2×C59⋊#95C2212yes—
34C2×C59⋊#95C2212yes—
35C24×C4×C59C2211yescharacteristic
36C22×C22⋊C4×C59C2211yescharacteristic
37C22×C22⋊C4×C59C2211yescharacteristic
38C2×#95×C59C2212yes—
39C2×#95×C59C2212yes—
40C23×Dic59—22no—
41C23×Dic59—22no—
42C23×Dic59—22no—
43C23×Dic59—22no—
44C23×Dic59—24no—
45C23×Dic59—24no—
46C23×Dic59—42no—
47C23×Dic59—42no—
48C23×Dic59C2×C414yes—
49C23×Dic59C2×C414yes—
50C23×Dic59C2312yes—
51C23×Dic59C2311yescharacteristic
52C23×Dic59C2311yescharacteristic
53C23×Dic59C2312yes—
54C23×Dic59C2311yescharacteristic
55C23×Dic59C2311yescharacteristic
56C2×C4⋊Dic59—24no—
57C2×C4⋊Dic59—24no—
58C2×C4⋊Dic59—24no—
59C2×C4⋊Dic59—232no—
60C2×C4⋊Dic59C2×C414yes—
61C2×C4⋊Dic59C2×C414yes—
62C2×C4⋊Dic59C2×C414yes—
63C2×C4⋊Dic59C2×C414yes—
64C2×C4⋊Dic59D418yes—
65C2×Dic59⋊C4—24no—
66C2×Dic59⋊C4—24no—
67C2×Dic59⋊C4—42no—
68C2×C22⋊Dic59—22no—
69C2×C22⋊Dic59—22no—
70C2×C22⋊Dic59—22no—
71C2×C22⋊Dic59—22no—
72C2×C22⋊Dic59—22no—
73C2×C22⋊Dic59D414yes—
74C2×C4×Dic59—24no—
75C2×C4×Dic59—24no—
76C2×C4×Dic59—42no—
77C59⋊#95—24no—
78C59⋊#95—24no—
79C59⋊#95—24no—
80C59⋊#95—24no—
81C59⋊#95—24no—
82C59⋊#95—24no—
83C59⋊#95—42no—
84C59⋊#95—42no—
85C25×C59C2311yescharacteristic
86C23×C4×C59—22no—
87C23×C4×C59—22no—
88C23×C4×C59—24no—
89C23×C4×C59—24no—
90C23×C4×C59C2×C414yes—
91C23×C4×C59C2312yes—
92C23×C4×C59C2312yes—
93C23×C4×C59C2311yescharacteristic
94C23×C4×C59C2311yescharacteristic
95C2×C22⋊C4×C59—22no—
96C2×C22⋊C4×C59—22no—
97C2×C22⋊C4×C59—22no—
98C2×C22⋊C4×C59—22no—
99C2×C22⋊C4×C59—22no—
100C2×C22⋊C4×C59Q814yes—
101#95×C59—24no—
102#95×C59—24no—
103C24×C59—22no—
104C24×C59—22no—
105C24×C59—22no—
106C24×C59—22no—
107C24×C59C22×C412yes—
108C24×C59C2×D412yes—
109C24×C59C2×Q812yes—
110C24×C59#4112yes—
111C24×C59#4112yes—
112C24×C59#4112yes—
113C24×C59#4112yes—
114C24×C59C2411yescharacteristic
115C22×C4×C59—216no—
116C22×C4×C59—216no—
117C22×C4×C59—28no—
118C22×C4×C59—22no—
119C22×C4×C59—21no—
120C22×C4×C59—21no—
121C22×C4×C59—22no—
122C22×C4×C59—21no—
123C22×C4×C59—21no—
124C22×C4×C59—28no—
125C22×C4×C59—28no—
126C22×C4×C59—22no—
127C22×C4×C59—22no—
128C22×C4×C59—22no—
129C22×C4×C59—22no—
130C22×C4×C59—22no—
131C22×C4×C59—22no—
132C22×C4×C59—22no—
133C22×C4×C59—22no—
134C22×C4×C59—22no—
135C22×C4×C59—22no—
136C22×C4×C59—22no—
137C22×C4×C59—22no—
138C22×C4×C59—22no—
139C22×C4×C59C22×C412yes—
140C22×C4×C59C22×C412yes—
141C22×C4×C59C2×D414yes—
142C22×C4×C59C2×Q814yes—
143C22×C4×C59#4114yes—
144C22×Dic59—21no—
145C22×Dic59—21no—
146C22×Dic59—21no—
147C22×Dic59—21no—
148C22×Dic59—22no—
149C22×Dic59—22no—
150C22×Dic59—28no—
151C22×Dic59—28no—
152C22×Dic59—21no—
153C22×Dic59—21no—
154C22×Dic59—22no—
155C22×Dic59—22no—
156C22×Dic59—22no—
157C22×Dic59—22no—
158C22×Dic59—22no—
159C22×Dic59—22no—
160C22×Dic59—21no—
161C22×Dic59—21no—
162C22×Dic59—22no—
163C22×Dic59—22no—
164C22×Dic59—22no—
165C22×Dic59—22no—
166C22×Dic59—28no—
167C22×Dic59—28no—
168C22×Dic59—22no—
169C22×Dic59—22no—
170C22×Dic59—22no—
171C22×Dic59—22no—
172C22×Dic59—22no—
173C22×Dic59—22no—
174C22×Dic59—22no—
175C22×Dic59—44no—
176C22×Dic59—44no—
177C22×Dic59—48no—
178C22×Dic59—48no—
179C22×Dic59—48no—
180C22×Dic59—48no—
181C22×Dic59C22×C412yes—
182C22×Dic59C22×C412yes—
183C22×Dic59C22×C412yes—
184C22×Dic59C22×C412yes—
185C22×Dic59C2×D414yes—
186C22×Dic59C2×D414yes—
187C22×Dic59C2×D414yes—
188C22⋊C4×C59—28no—
189C22⋊C4×C59—44no—
190C22⋊Dic59—28no—
191C22⋊Dic59—44no—
192C4⋊Dic59—28no—
193C4⋊Dic59—28no—
194C4⋊Dic59—28no—
195C4⋊Dic59C22⋊C4116yescomplemented
196Dic59⋊C4—48no—
197C4×Dic59—48no—
198C23×C59—22no—
199C23×C59—22no—
200C23×C59—22no—
201C23×C59—22no—
202C23×C59—24no—
203C23×C59—24no—
204C23×C59—24no—
205C23×C59—24no—
206C23×C59—24no—
207C23×C59—24no—
208C23×C59—24no—
209C23×C59—24no—
210C23×C59—24no—
211C23×C59—24no—
212C23×C59—24no—
213C23×C59—24no—
214C23×C59#11714yes—
215C23×C59C4×D414yes—
216C23×C59C4×Q814yes—
217C23×C59C22⋊Q814yes—
218C23×C59#12314yes—
219C23×C59#12514yes—
220C23×C59#12614yes—
221C23×C59C23×C411yescharacteristic
222C23×C59C22×D412yes—
223C23×C59C22×D411yescharacteristic
224C23×C59C22×Q811yescharacteristic
225C23×C59C2×#4111yescharacteristic
226C23×C59C2×#4111yescharacteristic
227C23×C59C2×#4112yes—
228C23×C59C2×#4111yescharacteristic
229C23×C59C2×#4111yescharacteristic
230C23×C59H(5,𝔽2)12yes—
231C23×C592−1+412yes—
232C2×C4×C59—232no—
233C2×C4×C59—22no—
234C2×C4×C59—22no—
235C2×C4×C59—22no—
236C2×C4×C59—22no—
237C2×C4×C59—24no—
238C2×C4×C59—24no—
239C2×C4×C59—24no—
240C2×C4×C59—24no—
241C2×C4×C59—24no—
242C2×C4×C59—24no—
243C2×C4×C59—24no—
244C2×C4×C59—42no—
245C2×C4×C59—42no—
246C2×C4×C59—42no—
247C2×C4×C59—42no—
248C2×C4×C59—42no—
249C2×C4×C59—42no—
250C2×C4×C59—42no—
251C2×C4×C59—42no—
252C2×C4×C59—42no—
253C2×C4×C59—42no—
254C2×C4×C59—42no—
255C2×C4×C59C2×C22⋊C414yes—
256C2×C4×C59#11714yes—
257C2×Dic59—22no—
258C2×Dic59—22no—
259C2×Dic59—22no—
260C2×Dic59—22no—
261C2×Dic59—24no—
262C2×Dic59—24no—
263C2×Dic59—24no—
264C2×Dic59—24no—
265C2×Dic59—22no—
266C2×Dic59—22no—
267C2×Dic59—22no—
268C2×Dic59—22no—
269C2×Dic59—22no—
270C2×Dic59—22no—
271C2×Dic59—24no—
272C2×Dic59—24no—
273C2×Dic59—24no—
274C2×Dic59—416no—
275C2×Dic59—416no—
276C2×Dic59—42no—
277C2×Dic59—42no—
278C2×Dic59—42no—
279C2×Dic59—42no—
280C2×Dic59—42no—
281C2×Dic59—42no—
282C2×Dic59—42no—
283C2×Dic59—42no—
284C2×Dic59—42no—
285C2×Dic59—42no—
286C2×Dic59—42no—
287C2×Dic59—42no—
288C2×Dic59—42no—
289C2×Dic59—42no—
290C2×Dic59—42no—
291C2×Dic59C2×C22⋊C414yes—
292C2×Dic59C2×C22⋊C414yes—
293#13882—591nomaximal, Sylow
294C22×C59—24no—
295C22×C59—24no—
296C22×C59—24no—
297C22×C59—24no—
298C22×C59—24no—
299C22×C59—28no—
300C22×C59—28no—
301C22×C59—28no—
302C22×C59—28no—
303C22×C59—24no—
304C22×C59#38718yescomplemented
305C22×C59C22×C22⋊C411yescharacteristic
306C22×C59C2×#11711yescharacteristic
307C22×C59C2×#11711yescharacteristic
308C22×C59C2×C4×D411yescharacteristic
309C22×C59C2×C4×Q811yescharacteristic
310C22×C59#51811yescharacteristic
311C22×C59#51911yescharacteristic
312C22×C59C2×C22⋊Q811yescharacteristic
313C22×C59C2×#12311yescharacteristic
314C22×C59#52512yes—
315C22×C59#52512yes—
316C22×C59C2×#12511yescharacteristic
317C22×C59C2×#12611yescharacteristic
318C22×C59#53912yes—
319C22×C59#53912yes—
320C22×C59D4212yes—
321C22×C59#54612yes—
322C22×C59#54712yes—
323C22×C59#54812yes—
324C22×C59D4×Q812yes—
325C22×C59#55212yes—
326C22×C59#55312yes—
327C22×C59#55412yes—
328C4×C59—24no—
329C4×C59—24no—
330C4×C59—44no—
331C4×C59—82no—
332Dic59—24no—
333Dic59—24no—
334Dic59—42no—
335Dic59—42no—
336Dic59—44no—
337Dic59—82no—
338C23×C4⋊C4—591no—
339C2×#387—592no—
340C2×#380—591no—
341C2×C4×C22⋊C4—591no—
342#1445—592no—
343#1441—592no—
344#1436—592no—
345C22⋊#95—591no—
346C22⋊#95—591no—
347C22⋊#95—591no—
348C22⋊#95D5911yescharacteristic
349C2×C59—28no—
350C2×C59#228011yescharacteristic
351C2×C59C2×#38711yescharacteristic
352C2×C59#231311yescharacteristic
353C2×C59D4×C22⋊C411yescharacteristic
354C2×C59Q8×C22⋊C411yescharacteristic
355C2×C59#234411yescharacteristic
356C2×C59#234511yescharacteristic
357C2×C59#244312yes—
358C2×C59#244912yes—
359C2×C59#247312yes—
360C2×C59#248112yes—
361C24×C4—591no—
362C24×C4—591no—
363C24×C4C2×D5911yescharacteristic
364C22×C4⋊C4—591no—
365C22×C4⋊C4—598no—
366C22×C4⋊C4—591no—
367C22×C4⋊C4—591no—
368C22×C4⋊C4—591no—
369C22×C4⋊C4—592no—
370C22×C4⋊C4—1188no—
371C22×C22⋊C4—591no—
372C22×C22⋊C4—591no—
373C22×C22⋊C4C2×D5911yescharacteristic
374C22×C22⋊C4C2×D5911yescharacteristic
375C22×C42—592no—
376#387—1188no—
377#380—1184no—
378C4×C22⋊C4—1184no—
379C2×#95—592no—
380C2×#95—592no—
381C2×#95—592no—
382C2×#95—592no—
383C2×#95—592no—
384C2×#95—592no—
385C2×#95—592no—
386C2×#95—592no—
387C2×#95C2×D5912yes—
388C2×#95C2×D5912yes—
389C59#1388211yescharacteristic, complemented, Sylow
390C25C22×D5911yescharacteristic
391C23×C4—22no—
392C23×C4—22no—
393C23×C4—24no—
394C23×C4—24no—
395C23×C4—591no—
396C23×C4—591no—
397C23×C4—592no—
398C23×C4—591no—
399C23×C4—591no—
400C23×C4—594no—
401C23×C4—594no—
402C23×C4—592no—
403C23×C4—1184no—
404C23×C4—1184no—
405C23×C4—1182no—
406C23×C4—1182no—
407C23×C4—1182no—
408C23×C4—1182no—
409C23×C4—2362no—
410C23×C4—2362no—
411C23×C4C4×D5914yes—
412C23×C4C22×D5912yes—
413C23×C4C22×D5912yes—
414C23×C4C22×D5911yescharacteristic
415C23×C4C22×D5911yescharacteristic
416C2×C4⋊C4—594no—
417C2×C4⋊C4—598no—
418C2×C4⋊C4—594no—
419C2×C4⋊C4—594no—
420C2×C4⋊C4—594no—
421C2×C4⋊C4—11832no—
422C2×C4⋊C4—1184no—
423C2×C4⋊C4—1184no—
424C2×C4⋊C4—1184no—
425C2×C4⋊C4—1184no—
426C2×C4⋊C4—1184no—
427C2×C4⋊C4—2362no—
428C2×C22⋊C4—22no—
429C2×C22⋊C4—22no—
430C2×C22⋊C4—22no—
431C2×C22⋊C4—22no—
432C2×C22⋊C4—22no—
433C2×C22⋊C4—594no—
434C2×C22⋊C4—1182no—
435C2×C22⋊C4—1182no—
436C2×C22⋊C4—1182no—
437C2×C22⋊C4—1182no—
438C2×C22⋊C4—1182no—
439C2×C22⋊C4Dic11814yes—
440C2×C42—1184no—
441C2×C42—1184no—
442C2×C42—2362no—
443#95—24no—
444#95—24no—
445#95—1184no—
446#95—1184no—
447#95—1184no—
448#95—1184no—
449#95—1184no—
450#95—1184no—
451#95—2362no—
452#95—2362no—
453C24—22no—
454C24—22no—
455C24—22no—
456C24—22no—
457C24C2×Dic11812yes—
458C24C2×C4×D5912yes—
459C24#1174568512yes—
460C24D4×D5912yes—
461C24#1174568712yes—
462C24#1174568712yes—
463C24#1174568912yes—
464C24C23×D5911yescharacteristic
465C22×C4—216no—
466C22×C4—216no—
467C22×C4—28no—
468C22×C4—22no—
469C22×C4—21no—
470C22×C4—21no—
471C22×C4—22no—
472C22×C4—21no—
473C22×C4—21no—
474C22×C4—28no—
475C22×C4—28no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—592no—
490C22×C4—592no—
491C22×C4—594no—
492C22×C4—594no—
493C22×C4—592no—
494C22×C4—592no—
495C22×C4—594no—
496C22×C4—1188no—
497C22×C4—1188no—
498C22×C4—1181no—
499C22×C4—1181no—
500C22×C4—1181no—
501C22×C4—1181no—
502C22×C4—1182no—
503C22×C4—1182no—
504C22×C4—1188no—
505C22×C4—1188no—
506C22×C4—1181no—
507C22×C4—1181no—
508C22×C4—1182no—
509C22×C4—1182no—
510C22×C4—1182no—
511C22×C4—1182no—
512C22×C4—1182no—
513C22×C4—1182no—
514C22×C4—1181no—
515C22×C4—1181no—
516C22×C4—1182no—
517C22×C4—1182no—
518C22×C4—1182no—
519C22×C4—1182no—
520C22×C4—1182no—
521C22×C4—1182no—
522C22×C4—1182no—
523C22×C4—1182no—
524C22×C4—1182no—
525C22×C4—1182no—
526C22×C4—1182no—
527C22×C4—2364no—
528C22×C4—2364no—
529C22×C4—2368no—
530C22×C4—2368no—
531C22×C4—2368no—
532C22×C4—2368no—
533C22×C4C2×Dic11814yes—
534C22×C4C2×C4×D5912yes—
535C22×C4C2×C4×D5912yes—
536C22×C4D4×D5914yes—
537C22×C4#1174568714yes—
538C4⋊C4—5916no—
539C4⋊C4—1188no—
540C4⋊C4—1188no—
541C4⋊C4—1188no—
542C4⋊C4—2368no—
543C22⋊C4—28no—
544C22⋊C4—44no—
545C22⋊C4—1188no—
546C22⋊C4—2364no—
547C42—2368no—
548C23—24no—
549C23—24no—
550C23—24no—
551C23—24no—
552C23—24no—
553C23—24no—
554C23—24no—
555C23—24no—
556C23—24no—
557C23—24no—
558C23—24no—
559C23—22no—
560C23—24no—
561C23—22no—
562C23—22no—
563C23—22no—
564C23#1427368314yes—
565C23#1427368914yes—
566C23C4×Dic11814yes—
567C23#1427370414yes—
568C23#1427370914yes—
569C23#1427371814yes—
570C23#1427372214yes—
571C23C22×C4×D5911yescharacteristic
572C23C2×D4×D5911yescharacteristic
573C23C2×D4×D5912yes—
574C23C22×Dic11811yescharacteristic
575C23C2×#1174568711yescharacteristic
576C23C2×#1174568711yescharacteristic
577C23C2×#1174568712yes—
578C23C2×#1174568511yescharacteristic
579C23C2×#1174568911yescharacteristic
580C23#1427377312yes—
581C23#1427377412yes—
582C2×C4—232no—
583C2×C4—24no—
584C2×C4—24no—
585C2×C4—24no—
586C2×C4—24no—
587C2×C4—22no—
588C2×C4—22no—
589C2×C4—22no—
590C2×C4—22no—
591C2×C4—24no—
592C2×C4—24no—
593C2×C4—24no—
594C2×C4—42no—
595C2×C4—42no—
596C2×C4—42no—
597C2×C4—42no—
598C2×C4—42no—
599C2×C4—42no—
600C2×C4—42no—
601C2×C4—42no—
602C2×C4—42no—
603C2×C4—42no—
604C2×C4—42no—
605C2×C4—594no—
606C2×C4—594no—
607C2×C4—1184no—
608C2×C4—1184no—
609C2×C4—1184no—
610C2×C4—1184no—
611C2×C4—1182no—
612C2×C4—1182no—
613C2×C4—1182no—
614C2×C4—1182no—
615C2×C4—1184no—
616C2×C4—1184no—
617C2×C4—1184no—
618C2×C4—1182no—
619C2×C4—1182no—
620C2×C4—1182no—
621C2×C4—1182no—
622C2×C4—1182no—
623C2×C4—1182no—
624C2×C4—23616no—
625C2×C4—23616no—
626C2×C4—2362no—
627C2×C4—2362no—
628C2×C4—2362no—
629C2×C4—2362no—
630C2×C4—2362no—
631C2×C4—2362no—
632C2×C4—2362no—
633C2×C4—2362no—
634C2×C4—2362no—
635C2×C4—2362no—
636C2×C4—2362no—
637C2×C4—2362no—
638C2×C4—2362no—
639C2×C4—2362no—
640C2×C4—2362no—
641C2×C4C22⋊C4×D5914yes—
642C2×C4#1427368314yes—
643C22—24no—
644C22—28no—
645C22—24no—
646C22—24no—
647C22—24no—
648C22—28no—
649C22—28no—
650C22—28no—
651C22—24no—
652C22—24no—
653C22#1683728518yescomplemented
654C22C2×C22⋊C4×D5911yescharacteristic
655C22C2×#1427368311yescharacteristic
656C22C2×#1427368311yescharacteristic
657C22C2×#1427368911yescharacteristic
658C22C2×C4×Dic11811yescharacteristic
659C22#1683787611yescharacteristic
660C22#1683787911yescharacteristic
661C22C2×#1427370411yescharacteristic
662C22C2×#1427370911yescharacteristic
663C22#1683790812yes—
664C22#1683790812yes—
665C22C2×#1427371811yescharacteristic
666C22C2×#1427372211yescharacteristic
667C22#1683799612yes—
668C22#1683799612yes—
669C22#1683803612yes—
670C22#1683804312yes—
671C22#1683805212yes—
672C22#1683806112yes—
673C22D4×Dic11812yes—
674C22#1683809412yes—
675C22#1683809812yes—
676C22#1683810912yes—
677C4—24no—
678C4—24no—
679C4—44no—
680C4—82no—
681C4—1184no—
682C4—1184no—
683C4—4722no—
684C4—2364no—
685C4—2362no—
686C4—2362no—
687C2—28no—
688C2#2142647411yescharacteristic
689C2C2×#1683728511yescharacteristic
690C2#2142669711yescharacteristic
691C2#2142691611yescharacteristic
692C2C22⋊C4×Dic11811yescharacteristic
693C2#2142696711yescharacteristic
694C2#2142697111yescharacteristic
695C2#2142783712yes—
696C2#2142791112yes—
697C2#2142823612yes—
698C2#2142835412yes—
subgroupG/H
center, FrattiniC24C23×D59
commutatorC23×C59C23×C4
FittingC59×C22⋊#95C2
socle, cosocleC24×C59C24
prime radicalC25×C59C23
hypercenterC22⋊#95D59
hypocenterC59#13882
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C24 ◁ C22⋊#95

Complements

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

NH ≅ G/Ntype
2. C2×#16837285C2semidirect
5. #21422365C2semidirect
6. #21422348C2semidirect
7. #21422330C2semidirect
15. C22×C4⋊Dic59C4semidirect
195. C4⋊Dic59C22⋊C4semidirect
304. C22×C59#387semidirect
389. C59#13882semidirect
653. C22#16837285semidirect

Maximal subgroups

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

subgroupindex
C23×C4⋊Dic592
C2×#168372852
C2×#168372602
C2×C22⋊C4×Dic592
#214223652
#214223482
#214223302
#214223192
#214223182
C59×C22⋊#952
#1388259