Finite Group Databasebeta

← C61×#14982 #29518415

Subgroups — C61×#14982 #29518415

Order 15616.

1678 conjugacy classes of subgroups.

The subgroup lattice has 696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C61×#390C211yesmaximal, characteristic
2C2×C61×#388C212yesmaximal, complemented
3C2×C61×#387C211yesmaximal, characteristic, complemented
4C61×#1445C211yesmaximal, characteristic, complemented
5C61×#1445C211yesmaximal, characteristic, complemented
6C61×#1440C212yesmaximal, complemented
7C61×#1439C212yesmaximal, complemented
8C61×#1438C211yesmaximal, characteristic
9C61×#1438C211yesmaximal, characteristic
10C61×#1437C212yesmaximal, complemented
11C4×#95×C61C211yesmaximal, characteristic, complemented
12C23×D4×C61C2211yescharacteristic
13C22×C4⋊C4×C61C2211yescharacteristic
14C22×C4⋊C4×C61C2211yescharacteristic
15C22×C4⋊C4×C61C2211yescharacteristic
16C22×C22⋊C4×C61C2212yes—
17C22×C22⋊C4×C61C2212yes—
18C22×C22⋊C4×C61C2212yes—
19C22×C22⋊C4×C61C2212yes—
20C22×C22⋊C4×C61C2212yes—
21C22×C22⋊C4×C61C2212yes—
22C22×C42×C61C2212yes—
23C22×C42×C61C2211yescharacteristic
24C61×#390—24no—
25C61×#388—28no—
26C61×#387—24no—
27C2×#95×C61C2211yescharacteristic
28C2×#95×C61C2211yescharacteristic
29C2×#95×C61C2211yescharacteristic
30C2×#95×C61C2211yescharacteristic
31C2×#95×C61C2212yes—
32C2×#95×C61C2212yes—
33C2×#95×C61C2211yescharacteristic
34C2×#95×C61C2211yescharacteristic
35C2×#95×C61C2212yes—
36C2×#95×C61C2212yes—
37C2×#95×C61C2212yes—
38C25×C61C2312yes—
39C22×D4×C61—24no—
40C22×D4×C61—22no—
41C22×D4×C61—22no—
42C22×D4×C61—22no—
43C22×D4×C61—42no—
44C23×C4×C61C2311yescharacteristic
45C23×C4×C61C2312yes—
46C23×C4×C61C2311yescharacteristic
47C23×C4×C61C2311yescharacteristic
48C23×C4×C61C2311yescharacteristic
49C23×C4×C61C2311yescharacteristic
50C23×C4×C61C2312yes—
51C23×C4×C61C2312yes—
52C23×C4×C61C2311yescharacteristic
53C23×C4×C61C2311yescharacteristic
54C2×C4⋊C4×C61—22no—
55C2×C4⋊C4×C61—22no—
56C2×C4⋊C4×C61—22no—
57C2×C4⋊C4×C61—22no—
58C2×C4⋊C4×C61—22no—
59C2×C4⋊C4×C61—22no—
60C2×C4⋊C4×C61—42no—
61C2×C4⋊C4×C61D414yescomplemented
62C2×C22⋊C4×C61—24no—
63C2×C22⋊C4×C61—24no—
64C2×C22⋊C4×C61—24no—
65C2×C22⋊C4×C61—24no—
66C2×C22⋊C4×C61—24no—
67C2×C22⋊C4×C61—24no—
68C2×C22⋊C4×C61—24no—
69C2×C22⋊C4×C61—24no—
70C2×C22⋊C4×C61—24no—
71C2×C22⋊C4×C61—24no—
72C2×C22⋊C4×C61—24no—
73C2×C22⋊C4×C61—24no—
74C2×C22⋊C4×C61—42no—
75C2×C22⋊C4×C61—42no—
76C2×C22⋊C4×C61—42no—
77C2×C22⋊C4×C61—42no—
78C2×C22⋊C4×C61—42no—
79C2×C22⋊C4×C61—42no—
80C2×C42×C61—24no—
81C2×C42×C61—24no—
82C2×C42×C61—42no—
83C2×C42×C61—42no—
84C2×C42×C61D414yes—
85#95×C61—22no—
86#95×C61—22no—
87#95×C61—22no—
88#95×C61—22no—
89#95×C61—24no—
90#95×C61—24no—
91#95×C61—24no—
92#95×C61—22no—
93#95×C61—22no—
94#95×C61—42no—
95#95×C61—42no—
96C24×C61—22no—
97C24×C61—22no—
98C24×C61—22no—
99C24×C61—22no—
100C24×C61—22no—
101C24×C61—22no—
102C24×C61—22no—
103C24×C61—22no—
104C24×C61—22no—
105C24×C61—22no—
106C24×C61—22no—
107C24×C61—22no—
108C24×C61—22no—
109C24×C61—22no—
110C24×C61#4114yes—
111C24×C61C2411yescharacteristic
112C2×D4×C61—28no—
113C2×D4×C61—48no—
114C2×D4×C61—48no—
115C2×D4×C61—44no—
116C2×D4×C61—44no—
117C22×C4×C61—22no—
118C22×C4×C61—22no—
119C22×C4×C61—22no—
120C22×C4×C61—22no—
121C22×C4×C61—21no—
122C22×C4×C61—22no—
123C22×C4×C61—22no—
124C22×C4×C61—21no—
125C22×C4×C61—22no—
126C22×C4×C61—22no—
127C22×C4×C61—22no—
128C22×C4×C61—22no—
129C22×C4×C61—22no—
130C22×C4×C61—22no—
131C22×C4×C61—22no—
132C22×C4×C61—22no—
133C22×C4×C61—22no—
134C22×C4×C61—22no—
135C22×C4×C61—21no—
136C22×C4×C61—21no—
137C22×C4×C61—22no—
138C22×C4×C61—22no—
139C22×C4×C61—22no—
140C22×C4×C61—22no—
141C22×C4×C61—22no—
142C22×C4×C61—21no—
143C22×C4×C61—21no—
144C22×C4×C61—22no—
145C22×C4×C61—21no—
146C22×C4×C61—22no—
147C22×C4×C61—21no—
148C22×C4×C61—22no—
149C22×C4×C61—22no—
150C22×C4×C61—22no—
151C22×C4×C61—22no—
152C22×C4×C61—22no—
153C22×C4×C61—22no—
154C22×C4×C61—22no—
155C22×C4×C61—21no—
156C22×C4×C61—21no—
157C22×C4×C61—22no—
158C22×C4×C61—22no—
159C22×C4×C61—21no—
160C22×C4×C61—21no—
161C22×C4×C61—22no—
162C22×C4×C61C2×D412yes—
163C22×C4×C61C2×D412yes—
164C22×C4×C61C2×D412yes—
165C22×C4×C61C2×D412yes—
166C22×C4×C61C2×D412yes—
167C22×C4×C61C2×D412yes—
168C22×C4×C61#4114yes—
169C22×C4×C61#4114yes—
170C22×C4×C61#4112yes—
171C22×C4×C61#4112yes—
172C22×C4×C61#4112yes—
173C4⋊C4×C61—28no—
174C4⋊C4×C61—44no—
175C4⋊C4×C61—44no—
176C22⋊C4×C61—216no—
177C22⋊C4×C61—48no—
178C22⋊C4×C61—48no—
179C22⋊C4×C61—48no—
180C22⋊C4×C61—48no—
181C22⋊C4×C61—48no—
182C42×C61—44no—
183C42×C61—48no—
184C23×C61—24no—
185C23×C61—24no—
186C23×C61—24no—
187C23×C61—24no—
188C23×C61—24no—
189C23×C61—24no—
190C23×C61—24no—
191C23×C61—42no—
192C23×C61—42no—
193C23×C61—42no—
194C23×C61—42no—
195C23×C61—42no—
196C23×C61—42no—
197C23×C61—42no—
198C23×C61—42no—
199C23×C61—42no—
200C23×C61—42no—
201C23×C61—42no—
202C23×C61—42no—
203C23×C61—42no—
204C23×C61—42no—
205C23×C61—42no—
206C23×C61—42no—
207C23×C61—42no—
208C23×C61—42no—
209C23×C61—42no—
210C23×C61—42no—
211C23×C61—42no—
212C23×C61—42no—
213C23×C61—42no—
214C23×C61—42no—
215C23×C61—42no—
216C23×C61—42no—
217C23×C61—42no—
218C23×C61—42no—
219C23×C61C22×D411yescharacteristic
220C23×C61C22×D411yescharacteristic
221C23×C61C2×#4111yescharacteristic
222C23×C61C2×#4112yes—
223C23×C61C2×#4112yes—
224C23×C61C2×#4111yescharacteristic
225C23×C61C2×#4111yescharacteristic
226C23×C61C2×#4112yes—
227C23×C61H(5,𝔽2)12yes—
228C23×C61H(5,𝔽2)11yescharacteristic
229C23×C61H(5,𝔽2)11yescharacteristic
230D4×C61—416no—
231C2×C4×C61—22no—
232C2×C4×C61—22no—
233C2×C4×C61—22no—
234C2×C4×C61—22no—
235C2×C4×C61—24no—
236C2×C4×C61—24no—
237C2×C4×C61—24no—
238C2×C4×C61—24no—
239C2×C4×C61—22no—
240C2×C4×C61—22no—
241C2×C4×C61—24no—
242C2×C4×C61—24no—
243C2×C4×C61—24no—
244C2×C4×C61—24no—
245C2×C4×C61—22no—
246C2×C4×C61—22no—
247C2×C4×C61—22no—
248C2×C4×C61—24no—
249C2×C4×C61—24no—
250C2×C4×C61—24no—
251C2×C4×C61—24no—
252C2×C4×C61—41no—
253C2×C4×C61—42no—
254C2×C4×C61—42no—
255C2×C4×C61—41no—
256C2×C4×C61—41no—
257C2×C4×C61—41no—
258C2×C4×C61—42no—
259C2×C4×C61—42no—
260C2×C4×C61—42no—
261C2×C4×C61—42no—
262C2×C4×C61—42no—
263C2×C4×C61—42no—
264C2×C4×C61—42no—
265C2×C4×C61—42no—
266C2×C4×C61—42no—
267C2×C4×C61—42no—
268C2×C4×C61—42no—
269C2×C4×C61—41no—
270C2×C4×C61—42no—
271C2×C4×C61—41no—
272C2×C4×C61—41no—
273C2×C4×C61—41no—
274C2×C4×C61—42no—
275C2×C4×C61—41no—
276C2×C4×C61—41no—
277C2×C4×C61—42no—
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#12114yes—
286C2×C4×C61#12414yes—
287#14982C6111yesmaximal, characteristic, direct product factor, Sylow
288C22×C61—44no—
289C22×C61—44no—
290C22×C61—44no—
291C22×C61—44no—
292C22×C61—44no—
293C22×C61—44no—
294C22×C61—44no—
295C22×C61—82no—
296C22×C61—82no—
297C22×C61—82no—
298C22×C61—82no—
299C22×C61—82no—
300C22×C61—82no—
301C22×C61—82no—
302C22×C61—82no—
303C22×C61C2×#12111yescharacteristic
304C22×C61#52511yescharacteristic
305C22×C61#52512yes—
306C22×C61C2×#12411yescharacteristic
307C22×C61#52912yes—
308C22×C61#52912yes—
309C22×C61#52912yes—
310C22×C61#53211yescharacteristic
311C22×C61#53211yescharacteristic
312C22×C61#53411yescharacteristic
313C22×C61#53511yescharacteristic
314C22×C61#53812yes—
315C22×C61#54012yes—
316C22×C61#54612yes—
317C22×C61#55011yescharacteristic
318C22×C61#55011yescharacteristic
319C22×C61#55112yes—
320C22×C61#55112yes—
321C22×C61#55112yes—
322C22×C61#55312yes—
323C22×C61#55312yes—
324C22×C61#55911yescharacteristic
325C22×C61#55911yescharacteristic
326C4×C61—24no—
327C4×C61—24no—
328C4×C61—42no—
329C4×C61—42no—
330C4×C61—44no—
331C4×C61—44no—
332C4×C61—42no—
333C4×C61—81no—
334C4×C61—81no—
335C4×C61—82no—
336C2×#390C2×C6111yescharacteristic
337C2×#388C2×C6112yescomplemented
338C2×#387C2×C6111yescharacteristic, complemented
339#1445C2×C6111yescharacteristic, complemented
340#1445C2×C6111yescharacteristic, complemented
341#1440C2×C6112yescomplemented
342#1439C2×C6112yescomplemented
343#1438C2×C6111yescharacteristic
344#1438C2×C6111yescharacteristic
345#1437C2×C6112yescomplemented
346C4×#95C2×C6111yescharacteristic, complemented
347C2×C61—84no—
348C2×C61#239211yescharacteristic
349C2×C61#246712yes—
350C2×C61#247112yes—
351C2×C61#251612yes—
352C2×C61#254311yescharacteristic
353C2×C61#254811yescharacteristic
354C2×C61#256111yescharacteristic
355C2×C61#259512yes—
356C2×C61#260311yescharacteristic
357C2×C61#266111yescharacteristic
358C2×C61#286111yescharacteristic
359C23×D4C22×C6111yescharacteristic
360C22×C4⋊C4C22×C6111yescharacteristic
361C22×C4⋊C4C22×C6111yescharacteristic
362C22×C4⋊C4C22×C6111yescharacteristic
363C22×C22⋊C4C22×C6112yes—
364C22×C22⋊C4C22×C6112yes—
365C22×C22⋊C4C22×C6112yes—
366C22×C22⋊C4C22×C6112yes—
367C22×C22⋊C4C22×C6112yes—
368C22×C22⋊C4C22×C6112yes—
369C22×C42C22×C6112yes—
370C22×C42C22×C6111yescharacteristic
371#390—24no—
372#388—28no—
373#387—24no—
374C2×#95C22×C6111yescharacteristic
375C2×#95C22×C6111yescharacteristic
376C2×#95C22×C6112yes—
377C2×#95C22×C6111yescharacteristic
378C2×#95C22×C6111yescharacteristic
379C2×#95C22×C6111yescharacteristic
380C2×#95C22×C6112yes—
381C2×#95C22×C6111yescharacteristic
382C2×#95C22×C6112yes—
383C2×#95C22×C6112yes—
384C2×#95C22×C6112yes—
385C61#1498211yescharacteristic, direct product factor, Sylow
386C25C23×C6112yes—
387C22×D4—24no—
388C22×D4—22no—
389C22×D4—22no—
390C22×D4—22no—
391C22×D4—42no—
392C23×C4C23×C6112yes—
393C23×C4C23×C6111yescharacteristic
394C23×C4C23×C6111yescharacteristic
395C23×C4C23×C6111yescharacteristic
396C23×C4C23×C6111yescharacteristic
397C23×C4C23×C6111yescharacteristic
398C23×C4C23×C6112yes—
399C23×C4C23×C6112yes—
400C23×C4C23×C6111yescharacteristic
401C23×C4C23×C6111yescharacteristic
402C2×C4⋊C4—22no—
403C2×C4⋊C4—22no—
404C2×C4⋊C4—22no—
405C2×C4⋊C4—22no—
406C2×C4⋊C4—22no—
407C2×C4⋊C4—22no—
408C2×C4⋊C4—42no—
409C2×C4⋊C4D4×C6114yescomplemented
410C2×C22⋊C4—24no—
411C2×C22⋊C4—24no—
412C2×C22⋊C4—24no—
413C2×C22⋊C4—24no—
414C2×C22⋊C4—24no—
415C2×C22⋊C4—24no—
416C2×C22⋊C4—24no—
417C2×C22⋊C4—24no—
418C2×C22⋊C4—24no—
419C2×C22⋊C4—24no—
420C2×C22⋊C4—24no—
421C2×C22⋊C4—24no—
422C2×C22⋊C4—42no—
423C2×C22⋊C4—42no—
424C2×C22⋊C4—42no—
425C2×C22⋊C4—42no—
426C2×C22⋊C4—42no—
427C2×C22⋊C4—42no—
428C2×C42—24no—
429C2×C42—24no—
430C2×C42—42no—
431C2×C42—42no—
432C2×C42D4×C6114yes—
433#95—22no—
434#95—22no—
435#95—22no—
436#95—22no—
437#95—24no—
438#95—24no—
439#95—24no—
440#95—22no—
441#95—22no—
442#95—42no—
443#95—42no—
444C24—22no—
445C24—22no—
446C24—22no—
447C24—22no—
448C24—22no—
449C24—22no—
450C24—22no—
451C24—22no—
452C24—22no—
453C24—22no—
454C24—22no—
455C24—22no—
456C24—22no—
457C24—22no—
458C24#41×C6114yes—
459C24C24×C6111yescharacteristic
460C2×D4—28no—
461C2×D4—48no—
462C2×D4—48no—
463C2×D4—44no—
464C2×D4—44no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—21no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—21no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—22no—
493C22×C4—21no—
494C22×C4—22no—
495C22×C4—21no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—21no—
508C22×C4—21no—
509C22×C4—22no—
510C22×C4C2×D4×C6112yes—
511C22×C4C2×D4×C6112yes—
512C22×C4C2×D4×C6112yes—
513C22×C4C2×D4×C6112yes—
514C22×C4C2×D4×C6112yes—
515C22×C4C2×D4×C6112yes—
516C22×C4#41×C6114yes—
517C22×C4#41×C6114yes—
518C22×C4#41×C6112yes—
519C22×C4#41×C6112yes—
520C22×C4#41×C6112yes—
521C4⋊C4—28no—
522C4⋊C4—44no—
523C4⋊C4—44no—
524C22⋊C4—216no—
525C22⋊C4—48no—
526C22⋊C4—48no—
527C22⋊C4—48no—
528C22⋊C4—48no—
529C22⋊C4—48no—
530C42—44no—
531C42—48no—
532C23—24no—
533C23—24no—
534C23—24no—
535C23—24no—
536C23—24no—
537C23—24no—
538C23—24no—
539C23—42no—
540C23—42no—
541C23—42no—
542C23—42no—
543C23—42no—
544C23—42no—
545C23—42no—
546C23—42no—
547C23—42no—
548C23—42no—
549C23—42no—
550C23—42no—
551C23—42no—
552C23—42no—
553C23—42no—
554C23—42no—
555C23—42no—
556C23—42no—
557C23—42no—
558C23—42no—
559C23—42no—
560C23—42no—
561C23—42no—
562C23—42no—
563C23—42no—
564C23—42no—
565C23—42no—
566C23—42no—
567C23C22×D4×C6111yescharacteristic
568C23C22×D4×C6111yescharacteristic
569C23C2×#41×C6112yes—
570C23C2×#41×C6112yes—
571C23C2×#41×C6111yescharacteristic
572C23C2×#41×C6111yescharacteristic
573C23C2×#41×C6112yes—
574C23C2×#41×C6111yescharacteristic
575C23H(5,𝔽2)×C6112yes—
576C23H(5,𝔽2)×C6111yescharacteristic
577C23H(5,𝔽2)×C6111yescharacteristic
578D4—416no—
579C2×C4—22no—
580C2×C4—22no—
581C2×C4—22no—
582C2×C4—24no—
583C2×C4—24no—
584C2×C4—24no—
585C2×C4—24no—
586C2×C4—22no—
587C2×C4—22no—
588C2×C4—22no—
589C2×C4—22no—
590C2×C4—24no—
591C2×C4—24no—
592C2×C4—24no—
593C2×C4—24no—
594C2×C4—22no—
595C2×C4—22no—
596C2×C4—24no—
597C2×C4—24no—
598C2×C4—24no—
599C2×C4—24no—
600C2×C4—41no—
601C2×C4—41no—
602C2×C4—41no—
603C2×C4—42no—
604C2×C4—42no—
605C2×C4—42no—
606C2×C4—42no—
607C2×C4—42no—
608C2×C4—42no—
609C2×C4—42no—
610C2×C4—42no—
611C2×C4—42no—
612C2×C4—42no—
613C2×C4—41no—
614C2×C4—42no—
615C2×C4—42no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—42no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—42no—
623C2×C4—42no—
624C2×C4—42no—
625C2×C4—42no—
626C2×C4—42no—
627C2×C4—42no—
628C2×C4—42no—
629C2×C4—42no—
630C2×C4—42no—
631C2×C4—41no—
632C2×C4—42no—
633C2×C4#121×C6114yes—
634C2×C4#124×C6114yes—
635C22—44no—
636C22—44no—
637C22—44no—
638C22—44no—
639C22—44no—
640C22—44no—
641C22—44no—
642C22—82no—
643C22—82no—
644C22—82no—
645C22—82no—
646C22—82no—
647C22—82no—
648C22—82no—
649C22—82no—
650C22C2×#121×C6111yescharacteristic
651C22C61×#52511yescharacteristic
652C22C61×#52512yes—
653C22C2×#124×C6111yescharacteristic
654C22C61×#52912yes—
655C22C61×#52912yes—
656C22C61×#52912yes—
657C22C61×#53211yescharacteristic
658C22C61×#53211yescharacteristic
659C22C61×#53411yescharacteristic
660C22C61×#53511yescharacteristic
661C22C61×#53812yes—
662C22C61×#54012yes—
663C22C61×#54612yes—
664C22C61×#55011yescharacteristic
665C22C61×#55011yescharacteristic
666C22C61×#55112yes—
667C22C61×#55112yes—
668C22C61×#55112yes—
669C22C61×#55312yes—
670C22C61×#55312yes—
671C22C61×#55911yescharacteristic
672C22C61×#55911yescharacteristic
673C4—24no—
674C4—24no—
675C4—42no—
676C4—42no—
677C4—42no—
678C4—44no—
679C4—44no—
680C4—82no—
681C4—81no—
682C4—81no—
683C2—84no—
684C2C61×#239211yescharacteristic
685C2C61×#246712yes—
686C2C61×#247112yes—
687C2C61×#251612yes—
688C2C61×#254311yescharacteristic
689C2C61×#254811yescharacteristic
690C2C61×#256111yescharacteristic
691C2C61×#259512yes—
692C2C61×#260311yescharacteristic
693C2C61×#266111yescharacteristic
694C2C61×#286111yescharacteristic
subgroupG/H
center, socleC24×C61C24
commutator, Frattini, cosocleC24C24×C61
prime radicalC23×D4×C61C22
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24×C61 ◁ G

Complements

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

NH ≅ G/Ntype
2. C2×C61×#388C2semidirect
3. C2×C61×#387C2semidirect
4. C61×#1445C2semidirect
5. C61×#1445C2semidirect
6. C61×#1440C2semidirect
7. C61×#1439C2semidirect
10. C61×#1437C2semidirect
11. C4×#95×C61C2semidirect
61. C2×C4⋊C4×C61D4semidirect
287. #14982C61direct (N × H)
337. C2×#388C2×C61semidirect
338. C2×#387C2×C61semidirect
339. #1445C2×C61semidirect
340. #1445C2×C61semidirect
341. #1440C2×C61semidirect
342. #1439C2×C61semidirect
345. #1437C2×C61semidirect
346. C4×#95C2×C61semidirect
385. C61#14982direct (N × H)
409. C2×C4⋊C4D4×C61semidirect

Maximal subgroups

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

subgroupindex
C2×C61×#3902
C2×C61×#3882
C2×C61×#3872
C61×#14452
C61×#14402
C61×#14392
C61×#14382
C61×#14372
C4×#95×C612
#1498261