Finite Group Databasebeta

← #29603247

Subgroups — #29603247

Order 15616.

1470 conjugacy classes of subgroups.

The subgroup lattice has 678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16839661C211yesmaximal, characteristic
2C2×#16839658C211yesmaximal, characteristic
3C2×#16839658C211yesmaximal, characteristic
4C2×#16839627C211yesmaximal, characteristic
5C2×C4×C4⋊Dic61C211yesmaximal, characteristic
6#21444077C212yesmaximal
7#21444073C212yesmaximal
8#21444053C212yesmaximal
9#21444047C212yesmaximal
10C4×#14519684C211yesmaximal, characteristic
11C61×C4⋊#95C211yesmaximal, characteristic
12C22×C4⋊Dic61C2212yes—
13C22×C4⋊Dic61C2211yescharacteristic
14C22×C4⋊Dic61C2211yescharacteristic
15C22×#11758196C2212yes—
16C22×#11758196C2212yes—
17C22×C4×Dic61C2211yescharacteristic
18C22×C4×Dic61C2212yes—
19C22×C4×Dic61C2211yescharacteristic
20#16839661—24no—
21#16839658—24no—
22#16839658C418yescomplemented
23#16839627—24no—
24C4×C4⋊Dic61—24no—
25C2×#14519684C2212yes—
26C2×#14519684C2212yes—
27C2×#14519684C2212yes—
28C2×#14519684C2212yes—
29C2×#14519684C2211yescharacteristic
30C2×#14519684C2211yescharacteristic
31C2×#14519684C2211yescharacteristic
32C2×#14519684C2211yescharacteristic
33C2×#14519684C2212yes—
34C2×#14519684C2212yes—
35C22×C4⋊C4×C61C2211yescharacteristic
36C22×C4⋊C4×C61C2211yescharacteristic
37C22×C42×C61C2211yescharacteristic
38C2×#95×C61C2212yes—
39C2×#95×C61C2212yes—
40C23×Dic61C2311yescharacteristic
41C23×Dic61C2311yescharacteristic
42C23×Dic61C2312yes—
43C23×Dic61C2311yescharacteristic
44C23×Dic61C2311yescharacteristic
45C23×Dic61C2312yes—
46C2×C4⋊Dic61—22no—
47C2×C4⋊Dic61—22no—
48C2×C4⋊Dic61—24no—
49C2×C4⋊Dic61—24no—
50C2×C4⋊Dic61—42no—
51C2×C4⋊Dic61C2×C414yes—
52C2×C4⋊Dic61D414yes—
53C2×C4⋊Dic61D414yes—
54C2×C4⋊Dic61Q814yes—
55C2×#11758196—24no—
56C2×#11758196—24no—
57C2×#11758196—42no—
58C2×#11758196—42no—
59C2×#11758196—42no—
60C2×#11758196C2×C418yes—
61C2×C4×Dic61—22no—
62C2×C4×Dic61—22no—
63C2×C4×Dic61—22no—
64C2×C4×Dic61—22no—
65C2×C4×Dic61—22no—
66C2×C4×Dic61—24no—
67C2×C4×Dic61—24no—
68C2×C4×Dic61—42no—
69C2×C4×Dic61C2×C414yes—
70#14519684—22no—
71#14519684—22no—
72#14519684—24no—
73#14519684—24no—
74#14519684—24no—
75#14519684—24no—
76#14519684—24no—
77#14519684—22no—
78#14519684—22no—
79#14519684C2×C418yes—
80C23×C4×C61C2312yes—
81C23×C4×C61C2312yes—
82C23×C4×C61C2311yescharacteristic
83C23×C4×C61C2311yescharacteristic
84C23×C4×C61C2311yescharacteristic
85C2×C4⋊C4×C61—22no—
86C2×C4⋊C4×C61—22no—
87C2×C4⋊C4×C61—22no—
88C2×C4⋊C4×C61—22no—
89C2×C4⋊C4×C61—22no—
90C2×C4⋊C4×C61C2×C414yes—
91C2×C42×C61—22no—
92C2×C42×C61—22no—
93C2×C42×C61Q814yes—
94#95×C61—24no—
95#95×C61—42no—
96C24×C61C2411yescharacteristic
97C22×C4×C61—21no—
98C22×C4×C61—21no—
99C22×C4×C61—21no—
100C22×C4×C61—21no—
101C22×C4×C61—21no—
102C22×C4×C61—22no—
103C22×C4×C61—22no—
104C22×C4×C61—21no—
105C22×C4×C61—22no—
106C22×C4×C61—21no—
107C22×C4×C61—21no—
108C22×C4×C61—22no—
109C22×C4×C61—21no—
110C22×C4×C61—22no—
111C22×C4×C61—22no—
112C22×C4×C61—21no—
113C22×C4×C61—22no—
114C22×C4×C61—22no—
115C22×C4×C61—22no—
116C22×C4×C61—22no—
117C22×C4×C61—22no—
118C22×C4×C61—22no—
119C22×C4×C61—22no—
120C22×C4×C61C22×C414yes—
121C22×C4×C61C22×C412yes—
122C22×C4×C61C2×D412yes—
123C22×C4×C61C2×D412yes—
124C22×C4×C61C2×Q812yes—
125C22×C4×C61C2×Q812yes—
126C22×C4×C61C2×Q812yes—
127C22×C4×C61C2×Q812yes—
128C22×C4×C61#4112yes—
129C22×C4×C61#4112yes—
130C22×C4×C61#4112yes—
131C22×C4×C61#4112yes—
132C22×Dic61—22no—
133C22×Dic61—22no—
134C22×Dic61—22no—
135C22×Dic61—22no—
136C22×Dic61—21no—
137C22×Dic61—21no—
138C22×Dic61—21no—
139C22×Dic61—21no—
140C22×Dic61—22no—
141C22×Dic61—21no—
142C22×Dic61—21no—
143C22×Dic61—21no—
144C22×Dic61—21no—
145C22×Dic61—21no—
146C22×Dic61—21no—
147C22×Dic61—21no—
148C22×Dic61—21no—
149C22×Dic61—21no—
150C22×Dic61—21no—
151C22×Dic61—21no—
152C22×Dic61—21no—
153C22×Dic61—22no—
154C22×Dic61—22no—
155C22×Dic61—22no—
156C22×Dic61—22no—
157C22×Dic61—21no—
158C22×Dic61—21no—
159C22×Dic61—21no—
160C22×Dic61—21no—
161C22×Dic61—21no—
162C22×Dic61—21no—
163C22×Dic61—22no—
164C22×Dic61—21no—
165C22×Dic61—21no—
166C22×Dic61C22×C412yes—
167C22×Dic61C22×C412yes—
168C22×Dic61C22×C414yes—
169C22×Dic61C2×D414yes—
170C22×Dic61C2×D414yes—
171C22×Dic61C2×Q814yes—
172C22×Dic61#4112yes—
173C22×Dic61#4112yes—
174C4⋊C4×C61—28no—
175C4⋊C4×C61—44no—
176C42×C61—28no—
177C4⋊Dic61—28no—
178C4⋊Dic61—48no—
179C4⋊Dic61C4⋊C4116yescomplemented
180#11758196—48no—
181#11758196—48no—
182C4×Dic61—28no—
183C4×Dic61—48no—
184C4×Dic61—44no—
185C23×C61C23×C411yescharacteristic
186C23×C61C22×D411yescharacteristic
187C23×C61C22×D411yescharacteristic
188C23×C61C22×Q811yescharacteristic
189C23×C61C22×Q811yescharacteristic
190C23×C61C2×#4111yescharacteristic
191C23×C61C2×#4111yescharacteristic
192C23×C61C2×#4111yescharacteristic
193C23×C61C2×#4111yescharacteristic
194C23×C61C2×#4111yescharacteristic
195C23×C61C2×#4111yescharacteristic
196C23×C61H(5,𝔽2)11yescharacteristic
197C23×C61H(5,𝔽2)11yescharacteristic
198C23×C612−1+411yescharacteristic
199C23×C612−1+411yescharacteristic
200C2×C4×C61—22no—
201C2×C4×C61—22no—
202C2×C4×C61—22no—
203C2×C4×C61—22no—
204C2×C4×C61—22no—
205C2×C4×C61—22no—
206C2×C4×C61—24no—
207C2×C4×C61—24no—
208C2×C4×C61—24no—
209C2×C4×C61—22no—
210C2×C4×C61—22no—
211C2×C4×C61—22no—
212C2×C4×C61—42no—
213C2×C4×C61—41no—
214C2×C4×C61—41no—
215C2×C4×C61—42no—
216C2×C4×C61—42no—
217C2×C4×C61—42no—
218C2×C4×C61—41no—
219C2×C4×C61—41no—
220C2×C4×C61—42no—
221C2×C4×C61—42no—
222C2×C4×C61—42no—
223C2×C4×C61—42no—
224C2×C4×C61—42no—
225C2×C4×C61—42no—
226C2×C4×C61—42no—
227C2×C4×C61C2×C4⋊C414yes—
228C2×C4×C61C4×D414yes—
229C2×C4×C61C4×Q814yes—
230C2×C4×C61#12114yes—
231C2×C4×C61C22⋊Q814yes—
232C2×C4×C61#12514yes—
233C2×C4×C61#12514yes—
234C2×C4×C61C4⋊Q814yes—
235C2×Dic61—24no—
236C2×Dic61—24no—
237C2×Dic61—24no—
238C2×Dic61—24no—
239C2×Dic61—24no—
240C2×Dic61—24no—
241C2×Dic61—22no—
242C2×Dic61—22no—
243C2×Dic61—22no—
244C2×Dic61—22no—
245C2×Dic61—22no—
246C2×Dic61—22no—
247C2×Dic61—24no—
248C2×Dic61—22no—
249C2×Dic61—22no—
250C2×Dic61—22no—
251C2×Dic61—22no—
252C2×Dic61—24no—
253C2×Dic61—24no—
254C2×Dic61—22no—
255C2×Dic61—22no—
256C2×Dic61—41no—
257C2×Dic61—41no—
258C2×Dic61—42no—
259C2×Dic61—41no—
260C2×Dic61—41no—
261C2×Dic61—42no—
262C2×Dic61—42no—
263C2×Dic61—41no—
264C2×Dic61—41no—
265C2×Dic61—41no—
266C2×Dic61—41no—
267C2×Dic61—41no—
268C2×Dic61—41no—
269C2×Dic61—42no—
270C2×Dic61—41no—
271C2×Dic61—41no—
272C2×Dic61—41no—
273C2×Dic61—41no—
274C2×Dic61—41no—
275C2×Dic61—41no—
276C2×Dic61C2×C4⋊C418yes—
277#14006—611nomaximal, Sylow
278C22×C61C22×C4⋊C411yescharacteristic
279C22×C61C2×C4×D411yescharacteristic
280C22×C61C2×C4×Q811yescharacteristic
281C22×C61C4×#4111yescharacteristic
282C22×C61C4×#4111yescharacteristic
283C22×C61#51811yescharacteristic
284C22×C61#51911yescharacteristic
285C22×C61C2×#12111yescharacteristic
286C22×C61C2×C22⋊Q811yescharacteristic
287C22×C61C2×#12511yescharacteristic
288C22×C61C2×#12511yescharacteristic
289C22×C61#52911yescharacteristic
290C22×C61#52911yescharacteristic
291C22×C61C2×C4⋊Q811yescharacteristic
292C22×C61#53311yescharacteristic
293C22×C61#54211yescharacteristic
294C22×C61#54211yescharacteristic
295C22×C61#54411yescharacteristic
296C22×C61#54411yescharacteristic
297C22×C61#54611yescharacteristic
298C22×C61#54611yescharacteristic
299C22×C61#54611yescharacteristic
300C22×C61#54711yescharacteristic
301C22×C61#54811yescharacteristic
302C22×C61#54811yescharacteristic
303C22×C61#54811yescharacteristic
304C22×C61#55011yescharacteristic
305C22×C61#55211yescharacteristic
306C22×C61#55311yescharacteristic
307C22×C61#55411yescharacteristic
308C22×C61#55411yescharacteristic
309C22×C61#55511yescharacteristic
310C22×C61#55611yescharacteristic
311C22×C61#55711yescharacteristic
312C22×C61#55711yescharacteristic
313C4×C61—24no—
314C4×C61—44no—
315C4×C61—42no—
316C4×C61—82no—
317C4×C61#38918yes—
318Dic61—28no—
319Dic61—42no—
320Dic61—42no—
321Dic61—42no—
322Dic61—44no—
323Dic61—42no—
324C2×#389—611no—
325C2×#389—611no—
326C2×#389—611no—
327C2×#382—611no—
328C2×C4×C4⋊C4—611no—
329#1442—612no—
330#1441—612no—
331#1436—612no—
332C4⋊#95—612no—
333C4⋊#95D6111yescharacteristic
334C4×#95—611no—
335C2×C61C2×#38911yescharacteristic
336C2×C61C4×#12511yescharacteristic
337C2×C61#233111yescharacteristic
338C2×C61#234911yescharacteristic
339C2×C61#235111yescharacteristic
340C2×C61#236211yescharacteristic
341C2×C61#236311yescharacteristic
342C2×C61#242611yescharacteristic
343C2×C61#242711yescharacteristic
344C2×C61#243911yescharacteristic
345C2×C61#244211yescharacteristic
346C2×C61#250811yescharacteristic
347C2×C61#250911yescharacteristic
348C2×C61#255011yescharacteristic
349C2×C61#255211yescharacteristic
350C22×C4⋊C4—611no—
351C22×C4⋊C4—611no—
352C22×C4⋊C4—612no—
353C22×C4⋊C4—612no—
354C22×C4⋊C4—612no—
355C22×C4⋊C4C2×D6111yescharacteristic
356C22×C4⋊C4C2×D6111yescharacteristic
357C22×C42—611no—
358C22×C42—611no—
359C22×C42—612no—
360C22×C42C2×D6111yescharacteristic
361#389—618no—
362#389—1224no—
363#389—1224no—
364#382—1224no—
365C4×C4⋊C4—1224no—
366C2×#95—612no—
367C2×#95—611no—
368C2×#95—611no—
369C2×#95—611no—
370C2×#95—611no—
371C2×#95—612no—
372C2×#95—612no—
373C2×#95—612no—
374C2×#95—612no—
375C2×#95—612no—
376C2×#95C2×D6112yes—
377C2×#95C2×D6112yes—
378C61#1400611yescharacteristic, complemented, Sylow
379C23×C4—612no—
380C23×C4—611no—
381C23×C4—612no—
382C23×C4—611no—
383C23×C4—611no—
384C23×C4—611no—
385C23×C4C22×D6112yes—
386C23×C4C22×D6111yescharacteristic
387C23×C4C22×D6112yes—
388C23×C4C22×D6111yescharacteristic
389C23×C4C22×D6111yescharacteristic
390C2×C4⋊C4—22no—
391C2×C4⋊C4—22no—
392C2×C4⋊C4—22no—
393C2×C4⋊C4—22no—
394C2×C4⋊C4—22no—
395C2×C4⋊C4—614no—
396C2×C4⋊C4—614no—
397C2×C4⋊C4—614no—
398C2×C4⋊C4—614no—
399C2×C4⋊C4—618no—
400C2×C4⋊C4—1222no—
401C2×C4⋊C4—1222no—
402C2×C4⋊C4—1224no—
403C2×C4⋊C4—1224no—
404C2×C4⋊C4—1224no—
405C2×C4⋊C4—1224no—
406C2×C4⋊C4—2442no—
407C2×C4⋊C4—2442no—
408C2×C4⋊C4—2442no—
409C2×C4⋊C4—2442no—
410C2×C4⋊C4C4×D6114yes—
411C2×C42—22no—
412C2×C42—22no—
413C2×C42—614no—
414C2×C42—1222no—
415C2×C42—1222no—
416C2×C42—1224no—
417C2×C42—1222no—
418C2×C42—1222no—
419C2×C42—1222no—
420C2×C42—1224no—
421C2×C42—2442no—
422C2×C42Dic12214yes—
423#95—24no—
424#95—42no—
425#95—618no—
426#95—1224no—
427#95—1224no—
428#95—1224no—
429#95—1222no—
430#95—1222no—
431#95—1224no—
432#95—1224no—
433#95—1222no—
434#95—1222no—
435C24C23×D6111yescharacteristic
436C22×C4—21no—
437C22×C4—21no—
438C22×C4—21no—
439C22×C4—21no—
440C22×C4—21no—
441C22×C4—22no—
442C22×C4—21no—
443C22×C4—21no—
444C22×C4—22no—
445C22×C4—22no—
446C22×C4—21no—
447C22×C4—22no—
448C22×C4—21no—
449C22×C4—22no—
450C22×C4—22no—
451C22×C4—21no—
452C22×C4—22no—
453C22×C4—22no—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4—22no—
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—614no—
460C22×C4—614no—
461C22×C4—614no—
462C22×C4—612no—
463C22×C4—612no—
464C22×C4—614no—
465C22×C4—612no—
466C22×C4—612no—
467C22×C4—1222no—
468C22×C4—1222no—
469C22×C4—1222no—
470C22×C4—1222no—
471C22×C4—1221no—
472C22×C4—1221no—
473C22×C4—1221no—
474C22×C4—1221no—
475C22×C4—1222no—
476C22×C4—1221no—
477C22×C4—1221no—
478C22×C4—1221no—
479C22×C4—1221no—
480C22×C4—1222no—
481C22×C4—1221no—
482C22×C4—1221no—
483C22×C4—1221no—
484C22×C4—1221no—
485C22×C4—1221no—
486C22×C4—1221no—
487C22×C4—1222no—
488C22×C4—1221no—
489C22×C4—1221no—
490C22×C4—1222no—
491C22×C4—1221no—
492C22×C4—1221no—
493C22×C4—1222no—
494C22×C4—1221no—
495C22×C4—1221no—
496C22×C4—1221no—
497C22×C4—1221no—
498C22×C4—1221no—
499C22×C4—1222no—
500C22×C4—1221no—
501C22×C4C2×Dic12212yes—
502C22×C4C2×Dic12212yes—
503C22×C4C2×Dic12212yes—
504C22×C4C2×C4×D6114yes—
505C22×C4C2×C4×D6112yes—
506C22×C4#1175822212yes—
507C22×C4D4×D6112yes—
508C22×C4D4×D6112yes—
509C22×C4#1175822412yes—
510C22×C4#1175822412yes—
511C22×C4Q8×D6112yes—
512C22×C4#1175822612yes—
513C4⋊C4—28no—
514C4⋊C4—44no—
515C4⋊C4—6116no—
516C4⋊C4—1228no—
517C4⋊C4—2448no—
518C4⋊C4—2448no—
519C4⋊C4—2448no—
520C42—28no—
521C42—1228no—
522C42—2448no—
523C42—2444no—
524C23C22×C4×D6111yescharacteristic
525C23C2×D4×D6111yescharacteristic
526C23C2×D4×D6111yescharacteristic
527C23C2×Q8×D6111yescharacteristic
528C23C22×Dic12211yescharacteristic
529C23#41×D6111yescharacteristic
530C23#41×D6111yescharacteristic
531C23C2×#1175822411yescharacteristic
532C23C2×#1175822411yescharacteristic
533C23C2×#1175822211yescharacteristic
534C23C2×#1175822611yescharacteristic
535C23#1451982211yescharacteristic
536C23#1451982311yescharacteristic
537C23#1451982411yescharacteristic
538C23#1451982511yescharacteristic
539C2×C4—22no—
540C2×C4—22no—
541C2×C4—22no—
542C2×C4—22no—
543C2×C4—22no—
544C2×C4—22no—
545C2×C4—24no—
546C2×C4—24no—
547C2×C4—24no—
548C2×C4—22no—
549C2×C4—22no—
550C2×C4—22no—
551C2×C4—42no—
552C2×C4—41no—
553C2×C4—42no—
554C2×C4—41no—
555C2×C4—42no—
556C2×C4—41no—
557C2×C4—41no—
558C2×C4—42no—
559C2×C4—42no—
560C2×C4—42no—
561C2×C4—42no—
562C2×C4—42no—
563C2×C4—42no—
564C2×C4—42no—
565C2×C4—42no—
566C2×C4—618no—
567C2×C4—1224no—
568C2×C4—1224no—
569C2×C4—1224no—
570C2×C4—1224no—
571C2×C4—1224no—
572C2×C4—1224no—
573C2×C4—1222no—
574C2×C4—1222no—
575C2×C4—1222no—
576C2×C4—1222no—
577C2×C4—1222no—
578C2×C4—1222no—
579C2×C4—1224no—
580C2×C4—1222no—
581C2×C4—1222no—
582C2×C4—1222no—
583C2×C4—1224no—
584C2×C4—1222no—
585C2×C4—1224no—
586C2×C4—1222no—
587C2×C4—1222no—
588C2×C4—2441no—
589C2×C4—2441no—
590C2×C4—2441no—
591C2×C4—2441no—
592C2×C4—2441no—
593C2×C4—2441no—
594C2×C4—2442no—
595C2×C4—2441no—
596C2×C4—2441no—
597C2×C4—2442no—
598C2×C4—2442no—
599C2×C4—2441no—
600C2×C4—2441no—
601C2×C4—2441no—
602C2×C4—2441no—
603C2×C4—2441no—
604C2×C4—2441no—
605C2×C4—2442no—
606C2×C4—2441no—
607C2×C4—2441no—
608C2×C4C4⋊C4×D6114yes—
609C2×C4#1451973714yes—
610C2×C4C4×Dic12214yes—
611C2×C4#1451975014yes—
612C2×C4#1451975414yes—
613C2×C4#1451976714yes—
614C2×C4#1451976814yes—
615C2×C4#1451977614yes—
616C22C2×C4⋊C4×D6111yescharacteristic
617C22C2×#1451973711yescharacteristic
618C22C2×C4×Dic12211yescharacteristic
619C22C4×#1175822411yescharacteristic
620C22C4×#1175822611yescharacteristic
621C22#1684023411yescharacteristic
622C22#1684023811yescharacteristic
623C22C2×#1451975011yescharacteristic
624C22C2×#1451975411yescharacteristic
625C22C2×#1451976711yescharacteristic
626C22C2×#1451976811yescharacteristic
627C22#1684029411yescharacteristic
628C22#1684029911yescharacteristic
629C22C2×#1451977611yescharacteristic
630C22#1684031511yescharacteristic
631C22#1684037711yescharacteristic
632C22#1684038411yescharacteristic
633C22#1684039011yescharacteristic
634C22#1684039311yescharacteristic
635C22#1684040311yescharacteristic
636C22#1684040511yescharacteristic
637C22#1684040911yescharacteristic
638C22#1684041511yescharacteristic
639C22#1684041811yescharacteristic
640C22#1684042011yescharacteristic
641C22#1684042211yescharacteristic
642C22#1684043211yescharacteristic
643C22#1684045411yescharacteristic
644C22#1684046411yescharacteristic
645C22#1684046811yescharacteristic
646C22#1684047311yescharacteristic
647C22#1684047611yescharacteristic
648C22#1684048311yescharacteristic
649C22#1684048711yescharacteristic
650C22#1684048911yescharacteristic
651C4—24no—
652C4—42no—
653C4—44no—
654C4—82no—
655C4—1228no—
656C4—2442no—
657C4—2442no—
658C4—2442no—
659C4—2444no—
660C4—2442no—
661C4#1683965918yes—
662C2C2×#1683965911yescharacteristic
663C2C4×#1451976811yescharacteristic
664C2#2144856311yescharacteristic
665C2#2144872811yescharacteristic
666C2#2144873811yescharacteristic
667C2#2144885111yescharacteristic
668C2#2144886211yescharacteristic
669C2#2144938611yescharacteristic
670C2#2144939711yescharacteristic
671C2#2144951111yescharacteristic
672C2#2144954411yescharacteristic
673C2#2145035811yescharacteristic
674C2#2145036911yescharacteristic
675C2#2145084111yescharacteristic
676C2#2145085511yescharacteristic
subgroupG/H
center, FrattiniC24C23×D61
commutatorC23×C61C23×C4
FittingC61×C4⋊#95C2
socle, prime radical, cosocleC24×C61C24
hypercenterC4⋊#95D61
hypocenterC61#14006
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C24 ◁ C4⋊#95

Complements

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

NH ≅ G/Ntype
22. #16839658C4semidirect
179. C4⋊Dic61C4⋊C4semidirect
378. C61#14006semidirect

Maximal subgroups

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

subgroupindex
C2×#168396612
C2×#168396582
C2×#168396272
C2×C4×C4⋊Dic612
#214440772
#214440732
#214440532
#214440472
C4×#145196842
C61×C4⋊#952
#1400661