Finite Group Databasebeta

← #14680539

Subgroups — #14680539

Order 2816.

2242 conjugacy classes of subgroups.

The subgroup lattice has 730 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C4×D44C211yesmaximal, characteristic
2C2×#10622285C211yesmaximal, characteristic
3C2×#10622546C211yesmaximal, characteristic, complemented
4C2×#10622281C212yesmaximal, complemented
5#13066881C211yesmaximal, characteristic, complemented
6#13066870C211yesmaximal, characteristic, complemented
7#13066864C212yesmaximal, complemented
8#13066862C212yesmaximal, complemented
9#13066856C211yesmaximal, characteristic
10(C2×D11)⋊#95C212yesmaximal, complemented
11C11×#1434C211yesmaximal, characteristic, complemented
12C23×D44C2211yescharacteristic
13C23×C4×D11C2212yes—
14C22×C42×C11C2211yescharacteristic
15C22×(C2×D11)⋊C4C2212yes—
16C22×(C2×D11)⋊C4C2212yes—
17C22×(C2×D11)⋊C4C2212yes—
18C22×(C2×D11)⋊C4C2212yes—
19C22×(C2×D11)⋊C4C2212yes—
20C22×C4⋊Dic11C2211yescharacteristic
21C22×C4⋊Dic11C2212yes—
22C22×Dic11⋊C4C2211yescharacteristic
23C22×Dic11⋊C4C2211yescharacteristic
24C2×C4×D44—28no—
25C2×C4×D44—24no—
26C2×C11×#95C2212yes—
27C2×C11×#95C2211yescharacteristic
28C2×C11×#95C2212yes—
29C2×C11×#95C2211yescharacteristic
30C2×C11⋊#95C2211yescharacteristic
31C2×C11⋊#95C2211yescharacteristic
32C2×C11⋊#95C2211yescharacteristic
33C2×C11⋊#95C2211yescharacteristic
34C2×C11⋊#95C2212yes—
35C2×C11⋊#95C2212yes—
36C2×C11⋊#95C2212yes—
37#10622546—24no—
38#10622285C418yescomplemented
39#10622281—28no—
40C24×D11C2312yes—
41C23×C4×C11C2312yes—
42C23×C4×C11C2312yes—
43C23×C4×C11C2311yescharacteristic
44C23×C4×C11C2311yescharacteristic
45C23×C4×C11C2311yescharacteristic
46C23×Dic11C2311yescharacteristic
47C23×Dic11C2311yescharacteristic
48C23×Dic11C2311yescharacteristic
49C23×Dic11C2311yescharacteristic
50C23×Dic11C2312yes—
51C22×D44—24no—
52C22×D44—24no—
53C22×D44—22no—
54C22×D44—22no—
55C22×D44C2×C414yes—
56C22×C4×D11—24no—
57C22×C4×D11—24no—
58C22×C4×D11—42no—
59C22×C4×D11—42no—
60C22×C4×D11—42no—
61C22×C4×D11—42no—
62C22×C4×D11D418yes—
63C2×C42×C11—24no—
64C2×C42×C11D414yes—
65C2×(C2×D11)⋊C4—24no—
66C2×(C2×D11)⋊C4—24no—
67C2×(C2×D11)⋊C4—24no—
68C2×(C2×D11)⋊C4—24no—
69C2×(C2×D11)⋊C4—24no—
70C2×(C2×D11)⋊C4—24no—
71C2×(C2×D11)⋊C4—24no—
72C2×(C2×D11)⋊C4—42no—
73C2×(C2×D11)⋊C4—42no—
74C2×(C2×D11)⋊C4—42no—
75C2×(C2×D11)⋊C4—42no—
76C2×(C2×D11)⋊C4—42no—
77C2×(C2×D11)⋊C4—42no—
78C2×(C2×D11)⋊C4C2×C418yescomplemented
79C2×(C2×D11)⋊C4C2×C418yescomplemented
80C2×C4⋊Dic11—22no—
81C2×C4⋊Dic11—24no—
82C2×C4⋊Dic11—24no—
83C2×C4⋊Dic11—42no—
84C2×C4⋊Dic11—42no—
85C2×Dic11⋊C4—22no—
86C2×Dic11⋊C4—22no—
87C2×Dic11⋊C4—24no—
88C2×Dic11⋊C4—22no—
89C2×Dic11⋊C4C2×C414yescomplemented
90C4×D44—232no—
91C11×#95—24no—
92C11×#95—22no—
93C11×#95—42no—
94C11×#95C2×C414yescomplemented
95C11⋊#95—22no—
96C11⋊#95—22no—
97C11⋊#95—22no—
98C11⋊#95—22no—
99C11⋊#95—24no—
100C11⋊#95—42no—
101C11⋊#95—42no—
102#14300—111nomaximal, Sylow
103C24×C11C2411yescharacteristic
104C23×D11—22no—
105C23×D11—22no—
106C23×D11—22no—
107C23×D11—22no—
108C23×D11—22no—
109C23×D11—22no—
110C23×D11—22no—
111C23×D11—22no—
112C23×D11—22no—
113C23×D11—22no—
114C23×D11—22no—
115C23×D11—22no—
116C23×D11C22×C414yes—
117C23×D11C2×D414yes—
118C23×D11#4114yes—
119C22×C4×C11—22no—
120C22×C4×C11—22no—
121C22×C4×C11—21no—
122C22×C4×C11—22no—
123C22×C4×C11—21no—
124C22×C4×C11—22no—
125C22×C4×C11—22no—
126C22×C4×C11—22no—
127C22×C4×C11—22no—
128C22×C4×C11—21no—
129C22×C4×C11—22no—
130C22×C4×C11—22no—
131C22×C4×C11—22no—
132C22×C4×C11—22no—
133C22×C4×C11—21no—
134C22×C4×C11—22no—
135C22×C4×C11—22no—
136C22×C4×C11—22no—
137C22×C4×C11—22no—
138C22×C4×C11—22no—
139C22×C4×C11—22no—
140C22×C4×C11—22no—
141C22×C4×C11C22×C414yes—
142C22×C4×C11C22×C412yes—
143C22×C4×C11C2×D412yes—
144C22×C4×C11C2×D412yes—
145C22×C4×C11C2×D412yes—
146C22×C4×C11C2×D414yes—
147C22×C4×C11#4112yes—
148C22×Dic11—21no—
149C22×Dic11—21no—
150C22×Dic11—22no—
151C22×Dic11—22no—
152C22×Dic11—22no—
153C22×Dic11—21no—
154C22×Dic11—21no—
155C22×Dic11—22no—
156C22×Dic11—21no—
157C22×Dic11—21no—
158C22×Dic11—22no—
159C22×Dic11—22no—
160C22×Dic11—21no—
161C22×Dic11—22no—
162C22×Dic11—22no—
163C22×Dic11—22no—
164C22×Dic11—22no—
165C22×Dic11—21no—
166C22×Dic11—21no—
167C22×Dic11—22no—
168C22×Dic11—21no—
169C22×Dic11—22no—
170C22×Dic11—21no—
171C22×Dic11—21no—
172C22×Dic11—21no—
173C22×Dic11—21no—
174C22×Dic11C22×C412yes—
175C22×Dic11C22×C412yes—
176C22×Dic11C2×D414yes—
177C2×D44—28no—
178C2×D44—28no—
179C2×D44—216no—
180C2×D44—216no—
181C2×D44—28no—
182C2×C4×D11—216no—
183C2×C4×D11—48no—
184C2×C4×D11—48no—
185C2×C4×D11—48no—
186C2×C4×D11—48no—
187C2×C4×D11—48no—
188C2×C4×D11—48no—
189C42×C11—28no—
190(C2×D11)⋊C4—216no—
191(C2×D11)⋊C4—216no—
192(C2×D11)⋊C4—48no—
193(C2×D11)⋊C4—48no—
194(C2×D11)⋊C4—48no—
195C4⋊Dic11—28no—
196C4⋊Dic11—48no—
197Dic11⋊C4—28no—
198Dic11⋊C4—44no—
199C22×C4×D4—111no—
200C2×#394—111no—
201C2×#387—111no—
202C2×#385—112no—
203#1444—111no—
204#1441—111no—
205#1440—112no—
206#1439—112no—
207#1438—111no—
208#1434D1111yescharacteristic, complemented
209C22⋊#95—112no—
210C23×C11C23×C411yescharacteristic
211C23×C11C22×D411yescharacteristic
212C23×C11C22×D412yes—
213C23×C11C2×#4111yescharacteristic
214C23×C11C2×#4112yes—
215C23×C11H(5,𝔽2)11yescharacteristic
216C23×C11H(5,𝔽2)11yescharacteristic
217C23×C11H(5,𝔽2)12yes—
218C23×C11H(5,𝔽2)11yescharacteristic
219C23×C112−1+411yescharacteristic
220C23×C112−1+412yes—
221C22×D11—24no—
222C22×D11—24no—
223C22×D11—24no—
224C22×D11—24no—
225C22×D11—24no—
226C22×D11—24no—
227C22×D11—24no—
228C22×D11—24no—
229C22×D11—24no—
230C22×D11—24no—
231C22×D11—24no—
232C22×D11—24no—
233C22×D11—24no—
234C22×D11—24no—
235C22×D11—24no—
236C22×D11—24no—
237C22×D11—24no—
238C22×D11—24no—
239C22×D11—42no—
240C22×D11—42no—
241C22×D11—42no—
242C22×D11—42no—
243C22×D11—42no—
244C22×D11—42no—
245C22×D11—42no—
246C22×D11—42no—
247C22×D11—42no—
248C22×D11—42no—
249C22×D11—42no—
250C22×D11—42no—
251C22×D11—42no—
252C22×D11—42no—
253C22×D11—42no—
254C22×D11—42no—
255C22×D11C4×D418yes—
256C2×C4×C11—24no—
257C2×C4×C11—22no—
258C2×C4×C11—22no—
259C2×C4×C11—24no—
260C2×C4×C11—24no—
261C2×C4×C11—24no—
262C2×C4×C11—22no—
263C2×C4×C11—22no—
264C2×C4×C11—24no—
265C2×C4×C11—24no—
266C2×C4×C11—24no—
267C2×C4×C11—22no—
268C2×C4×C11—22no—
269C2×C4×C11—22no—
270C2×C4×C11—42no—
271C2×C4×C11—42no—
272C2×C4×C11—42no—
273C2×C4×C11—42no—
274C2×C4×C11—42no—
275C2×C4×C11—42no—
276C2×C4×C11—42no—
277C2×C4×C11—42no—
278C2×C4×C11—42no—
279C2×C4×C11—42no—
280C2×C4×C11—42no—
281C2×C4×C11—42no—
282C2×C4×C11—42no—
283C2×C4×C11C4×D414yes—
284C2×C4×C11#12014yes—
285C2×Dic11—22no—
286C2×Dic11—22no—
287C2×Dic11—24no—
288C2×Dic11—22no—
289C2×Dic11—22no—
290C2×Dic11—24no—
291C2×Dic11—24no—
292C2×Dic11—24no—
293C2×Dic11—41no—
294C2×Dic11—41no—
295C2×Dic11—42no—
296C2×Dic11—42no—
297C2×Dic11—42no—
298C2×Dic11—42no—
299C2×Dic11—42no—
300C2×Dic11—41no—
301C2×Dic11—41no—
302C2×Dic11—41no—
303C2×Dic11—41no—
304C2×Dic11—41no—
305C2×Dic11—41no—
306C2×Dic11—42no—
307C2×Dic11—42no—
308C2×Dic11—41no—
309C2×Dic11—41no—
310C2×Dic11—41no—
311C2×Dic11—41no—
312C2×Dic11—42no—
313C2×Dic11—42no—
314D44—232no—
315C4×D11—432no—
316C23×D4—111no—
317C24×C4—112no—
318C2×C4×D4—228no—
319C2×C4×D4—224no—
320C22×C4⋊C4—111no—
321C22×C4⋊C4—111no—
322C22×C4⋊C4—111no—
323C22×C4⋊C4—112no—
324C22×C22⋊C4—112no—
325C22×C22⋊C4—112no—
326C22×C22⋊C4—112no—
327C22×C22⋊C4—112no—
328C22×C22⋊C4—112no—
329C22×C42C2×D1111yescharacteristic
330#394—118no—
331#387—224no—
332#385—228no—
333C2×#95—111no—
334C2×#95—111no—
335C2×#95—111no—
336C2×#95—111no—
337C2×#95—112no—
338C2×#95—112no—
339C2×#95—112no—
340C2×#95C2×D1112yes—
341C2×#95C2×D1111yescharacteristic
342C2×#95C2×D1112yes—
343C2×#95C2×D1111yescharacteristic
344C22×C11C2×C4×D411yescharacteristic
345C22×C11C2×C4×D412yes—
346C22×C11#51811yescharacteristic
347C22×C11#52012yes—
348C22×C11#52011yescharacteristic
349C22×C11C2×#12011yescharacteristic
350C22×C11#52511yescharacteristic
351C22×C11#52512yes—
352C22×C11#53412yes—
353C22×C11#53412yes—
354C22×C11#53511yescharacteristic
355C22×C11#53511yescharacteristic
356C22×C11#53611yescharacteristic
357C22×C11#53612yes—
358C22×C11#53711yescharacteristic
359C22×C11#53712yes—
360C22×C11#53812yes—
361C22×C11#53912yes—
362C22×C11#53912yes—
363C22×C11#53912yes—
364C22×C11#54011yescharacteristic
365C22×C11#54212yes—
366C22×C11#54211yescharacteristic
367C2×D11—28no—
368C2×D11—28no—
369C2×D11—28no—
370C2×D11—44no—
371C2×D11—44no—
372C2×D11—44no—
373C2×D11—44no—
374C2×D11—44no—
375C2×D11—44no—
376C2×D11—44no—
377C2×D11—44no—
378C2×D11—44no—
379C2×D11—44no—
380C2×D11—44no—
381C2×D11—44no—
382C4×C11—24no—
383C4×C11—24no—
384C4×C11—44no—
385C4×C11—42no—
386C4×C11—82no—
387Dic11—42no—
388Dic11—44no—
389Dic11—42no—
390Dic11—81no—
391Dic11—81no—
392C25—112no—
393C22×D4—114no—
394C22×D4—224no—
395C22×D4—224no—
396C22×D4—222no—
397C22×D4—222no—
398C23×C4—111no—
399C23×C4—111no—
400C23×C4—112no—
401C23×C4—118no—
402C23×C4—111no—
403C23×C4—111no—
404C23×C4—224no—
405C23×C4—224no—
406C23×C4—442no—
407C23×C4—442no—
408C23×C4—442no—
409C23×C4—442no—
410C23×C4C22×D1112yes—
411C23×C4C22×D1112yes—
412C23×C4C22×D1111yescharacteristic
413C23×C4C22×D1111yescharacteristic
414C23×C4C22×D1111yescharacteristic
415C4×D4—2232no—
416C2×C4⋊C4—114no—
417C2×C4⋊C4—224no—
418C2×C4⋊C4—222no—
419C2×C4⋊C4—222no—
420C2×C4⋊C4—222no—
421C2×C4⋊C4—224no—
422C2×C4⋊C4—222no—
423C2×C4⋊C4—224no—
424C2×C4⋊C4—442no—
425C2×C4⋊C4—442no—
426C2×C22⋊C4—118no—
427C2×C22⋊C4—118no—
428C2×C22⋊C4—224no—
429C2×C22⋊C4—224no—
430C2×C22⋊C4—224no—
431C2×C22⋊C4—224no—
432C2×C22⋊C4—224no—
433C2×C22⋊C4—224no—
434C2×C22⋊C4—224no—
435C2×C22⋊C4—442no—
436C2×C22⋊C4—442no—
437C2×C22⋊C4—442no—
438C2×C22⋊C4—442no—
439C2×C22⋊C4—442no—
440C2×C22⋊C4—442no—
441C2×C42—24no—
442C2×C42D4414yes—
443#95—22no—
444#95—24no—
445#95—42no—
446#95—224no—
447#95—222no—
448#95—222no—
449#95—222no—
450#95—222no—
451#95—442no—
452#95—442no—
453#95C4×D1114yescomplemented
454C2×C11C4×#12011yescharacteristic
455C2×C11#232212yes—
456C2×C11#232411yescharacteristic
457C2×C11#232512yes—
458C2×C11#232611yescharacteristic
459C2×C11#261311yescharacteristic
460C2×C11#261611yescharacteristic
461C2×C11#263012yes—
462C2×C11#263311yescharacteristic
463C2×C11#263611yescharacteristic
464C2×C11#263812yes—
465D11—48no—
466C24—114no—
467C24—114no—
468C24—114no—
469C24—222no—
470C24—222no—
471C24—222no—
472C24—222no—
473C24—222no—
474C24—222no—
475C24—222no—
476C24—222no—
477C24—222no—
478C24—222no—
479C24—222no—
480C24—222no—
481C24C23×D1111yescharacteristic
482C2×D4—2216no—
483C2×D4—228no—
484C2×D4—228no—
485C2×D4—2216no—
486C2×D4—228no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—21no—
495C22×C4—22no—
496C22×C4—21no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
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—112no—
510C22×C4—112no—
511C22×C4—114no—
512C22×C4—221no—
513C22×C4—221no—
514C22×C4—222no—
515C22×C4—221no—
516C22×C4—221no—
517C22×C4—222no—
518C22×C4—222no—
519C22×C4—221no—
520C22×C4—221no—
521C22×C4—222no—
522C22×C4—221no—
523C22×C4—222no—
524C22×C4—222no—
525C22×C4—221no—
526C22×C4—222no—
527C22×C4—222no—
528C22×C4—2216no—
529C22×C4—221no—
530C22×C4—221no—
531C22×C4—222no—
532C22×C4—221no—
533C22×C4—221no—
534C22×C4—222no—
535C22×C4—222no—
536C22×C4—221no—
537C22×C4—222no—
538C22×C4—221no—
539C22×C4—448no—
540C22×C4—448no—
541C22×C4—448no—
542C22×C4—448no—
543C22×C4—448no—
544C22×C4—448no—
545C22×C4C2×C4×D1114yes—
546C22×C4C2×C4×D1112yes—
547C22×C4C2×D4412yes—
548C22×C4C2×D4412yes—
549C22×C4C2×D4412yes—
550C22×C4#433912yes—
551C22×C4D4×D1114yes—
552C4⋊C4—228no—
553C4⋊C4—228no—
554C4⋊C4—448no—
555C4⋊C4—444no—
556C22⋊C4—2216no—
557C22⋊C4—2216no—
558C22⋊C4—448no—
559C22⋊C4—448no—
560C22⋊C4—448no—
561C42—28no—
562C11#1430011yescharacteristic, complemented, Sylow
563C23—118no—
564C23—224no—
565C23—224no—
566C23—224no—
567C23—224no—
568C23—224no—
569C23—224no—
570C23—224no—
571C23—224no—
572C23—224no—
573C23—224no—
574C23—224no—
575C23—224no—
576C23—224no—
577C23—224no—
578C23—224no—
579C23—224no—
580C23—224no—
581C23—224no—
582C23—442no—
583C23—442no—
584C23—442no—
585C23—442no—
586C23—442no—
587C23—442no—
588C23—442no—
589C23—442no—
590C23—442no—
591C23—442no—
592C23—442no—
593C23—442no—
594C23—442no—
595C23—442no—
596C23—442no—
597C23—442no—
598C23C22×C4×D1111yescharacteristic
599C23C22×D4411yescharacteristic
600C23C2×#433911yescharacteristic
601C23C2×D4×D1112yes—
602C23#6703711yescharacteristic
603C23#6704011yescharacteristic
604C23#41×D1112yes—
605C23#6704211yescharacteristic
606C23#6704211yescharacteristic
607C23#6704212yes—
608C23#6704312yes—
609D4—2232no—
610C2×C4—22no—
611C2×C4—22no—
612C2×C4—22no—
613C2×C4—22no—
614C2×C4—24no—
615C2×C4—24no—
616C2×C4—24no—
617C2×C4—24no—
618C2×C4—22no—
619C2×C4—22no—
620C2×C4—24no—
621C2×C4—22no—
622C2×C4—24no—
623C2×C4—24no—
624C2×C4—42no—
625C2×C4—42no—
626C2×C4—42no—
627C2×C4—42no—
628C2×C4—42no—
629C2×C4—42no—
630C2×C4—42no—
631C2×C4—42no—
632C2×C4—42no—
633C2×C4—42no—
634C2×C4—42no—
635C2×C4—42no—
636C2×C4—42no—
637C2×C4—222no—
638C2×C4—222no—
639C2×C4—224no—
640C2×C4—224no—
641C2×C4—222no—
642C2×C4—222no—
643C2×C4—224no—
644C2×C4—224no—
645C2×C4—4432no—
646C2×C4—441no—
647C2×C4—441no—
648C2×C4—441no—
649C2×C4—442no—
650C2×C4—442no—
651C2×C4—441no—
652C2×C4—442no—
653C2×C4—441no—
654C2×C4—441no—
655C2×C4—442no—
656C2×C4—442no—
657C2×C4—441no—
658C2×C4—441no—
659C2×C4—441no—
660C2×C4—441no—
661C2×C4—441no—
662C2×C4—441no—
663C2×C4—442no—
664C2×C4—442no—
665C2×C4—442no—
666C2×C4—442no—
667C2×C4C4×D4414yes—
668C2×C4#6693514yes—
669C22—228no—
670C22—228no—
671C22—228no—
672C22—444no—
673C22—444no—
674C22—444no—
675C22—444no—
676C22—444no—
677C22—444no—
678C22—444no—
679C22—444no—
680C22—444no—
681C22—444no—
682C22—444no—
683C22—444no—
684C22C2×C4×D4411yescharacteristic
685C22C2×#6693511yescharacteristic
686C22#1062304111yescharacteristic
687C22#1062305412yes—
688C22#1062305511yescharacteristic
689C22#1062305611yescharacteristic
690C22#1062305611yescharacteristic
691C22#1062305711yescharacteristic
692C22#1062306512yes—
693C22C4×D4×D1112yes—
694C22#1062307611yescharacteristic
695C22#1062307812yes—
696C22#1062309311yescharacteristic
697C22#1062310511yescharacteristic
698C22#1062311311yescharacteristic
699C22#1062313912yes—
700C22#1062315912yes—
701C22#1062318412yes—
702C22#1062318412yes—
703C22#1062320912yes—
704C22#1062322312yes—
705C22#1062323812yes—
706C22#1062323812yes—
707C4—24no—
708C4—24no—
709C4—42no—
710C4—44no—
711C4—82no—
712C4—442no—
713C4—444no—
714C4—442no—
715C4—881no—
716C4—881no—
717C2—448no—
718C2C4×#6693511yescharacteristic
719C2#1307128912yes—
720C2#1307131011yescharacteristic
721C2#1307132012yes—
722C2#1307132711yescharacteristic
723C2#1307433311yescharacteristic
724C2#1307434711yescharacteristic
725C2#1307446312yes—
726C2#1307448711yescharacteristic
727C2#1307451511yescharacteristic
728C2#1307454012yes—
subgroupG/H
center, FrattiniC24C23×D11
commutatorC23×C11C23×C4
FittingC11×#1434C2
socle, cosocleC24×C11C24
prime radicalC23×D44C22
hypercenter#1434D11
hypocenterC11#14300
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C24 ◁ #1434

Complements

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

NH ≅ G/Ntype
3. C2×#10622546C2semidirect
4. C2×#10622281C2semidirect
5. #13066881C2semidirect
6. #13066870C2semidirect
7. #13066864C2semidirect
8. #13066862C2semidirect
10. (C2×D11)⋊#95C2semidirect
11. C11×#1434C2semidirect
38. #10622285C4semidirect
78. C2×(C2×D11)⋊C4C2×C4semidirect
79. C2×(C2×D11)⋊C4C2×C4semidirect
89. C2×Dic11⋊C4C2×C4semidirect
94. C11×#95C2×C4semidirect
208. #1434D11semidirect
453. #95C4×D11semidirect
562. C11#14300semidirect

Maximal subgroups

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

subgroupindex
C22×C4×D442
C2×#106222852
C2×#106225462
C2×#106222812
#130668812
#130668702
#130668642
#130668622
#130668562
(C2×D11)⋊#952
C11×#14342
#1430011