Finite Group Databasebeta

← #14797918

Subgroups — #14797918

Order 2816.

952 conjugacy classes of subgroups.

The subgroup lattice has 716 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10622852C211yesmaximal, characteristic
2C2×#10622643C211yesmaximal, characteristic, complemented
3#13072119C211yesmaximal, characteristic, complemented
4#13070137C211yesmaximal, characteristic, complemented
5#13070052C211yesmaximal, characteristic, complemented
6#13069933C211yesmaximal, characteristic, complemented
7#13069819C211yesmaximal, characteristic, complemented
8#13069316C211yesmaximal, characteristic, complemented
9#13069231C211yesmaximal, characteristic, complemented
10#13068974C211yesmaximal, characteristic, complemented
11#13068957C211yesmaximal, characteristic, complemented
12#13068870C211yesmaximal, characteristic, complemented
13#13068631C211yesmaximal, characteristic, complemented
14#13068556C211yesmaximal, characteristic
15C11×#2341C211yesmaximal, characteristic
16C22×C11×#41C2211yescharacteristic
17C2×C4×Q8×C11C2211yescharacteristic
18C2×C4×Q8×C11C2211yescharacteristic
19C22×#4326C2211yescharacteristic
20C22×#4324C2211yescharacteristic
21C2×#66977C2211yescharacteristic
22C2×C4×Dic22C2211yescharacteristic
23C11×#390—21no—
24C11×#390—21no—
25C11×#390C2211yescharacteristic
26C11×#390C2211yescharacteristic
27C11×#380—21no—
28C11×#380C2211yescharacteristic
29C4×C11×C22⋊C4—21no—
30C4×C11×C22⋊C4C2211yescharacteristic
31#10622852—24no—
32C2×#66899C2211yescharacteristic
33C2×#66899C2211yescharacteristic
34C2×#66899C2211yescharacteristic
35C2×#66896C2211yescharacteristic
36C2×#66896C2211yescharacteristic
37C2×#66896C2211yescharacteristic
38#10622825C2211yescharacteristic
39C2×C22⋊(C11⋊C8)C2211yescharacteristic
40C2×C22⋊(C11⋊C8)C2211yescharacteristic
41#10622643—24no—
42C2×#66874C2211yescharacteristic
43C2×#66874C2211yescharacteristic
44C2×#66872C2211yescharacteristic
45C2×#66871C2211yescharacteristic
46#10622565—21no—
47#10622558—21no—
48#10622549C2211yescharacteristic
49#10622542C2211yescharacteristic
50#10622541C2211yescharacteristic
51C2×C4⋊(C11⋊C8)C2211yescharacteristic
52C2×#66867C2211yescharacteristic
53#10622271—21no—
54#10622265—21no—
55#10622167C2211yescharacteristic
56#10622167C2211yescharacteristic
57#10622167C2211yescharacteristic
58#10622167C2211yescharacteristic
59#10622162C2211yescharacteristic
60#10622162C2211yescharacteristic
61C2×C11×#41—22no—
62C2×C11×#41—22no—
63C2×C11×#41—22no—
64C2×C11×#41—22no—
65C2×C11×#41—41no—
66C2×C11×#41—41no—
67C22×Q8×C11C2311yescharacteristic
68C22×D4×C11—21no—
69C22×D4×C11C2311yescharacteristic
70C23×C4×C11—21no—
71C23×C4×C11C2311yescharacteristic
72C22×Dic22C2311yescharacteristic
73C4×Q8×C11—22no—
74C4×Q8×C11—22no—
75C4×Q8×C11—41no—
76C4×Q8×C11—41no—
77C2×C11×C4⋊C4—21no—
78C2×C11×C4⋊C4—21no—
79C2×C11×C4⋊C4C2311yescharacteristic
80C2×C11×C4⋊C4C2311yescharacteristic
81C2×C11×C22⋊C4—21no—
82C2×C11×C22⋊C4—21no—
83C2×C11×C22⋊C4—21no—
84C2×C11×C22⋊C4—21no—
85C2×C11×C22⋊C4—21no—
86C2×C11×C22⋊C4D411yescharacteristic
87C2×C11×C22⋊C4D411yescharacteristic
88C2×C42×C11—21no—
89C2×C42×C11—21no—
90C2×C42×C11C2311yescharacteristic
91C2×C42×C11C2311yescharacteristic
92C2×C22⋊Dic11—21no—
93C2×C22⋊Dic11—21no—
94C2×#4326—22no—
95C2×#4326—22no—
96C2×#4326D414yes—
97C2×#4324—22no—
98C2×#4324—22no—
99C2×#4324—41no—
100C2×C4⋊Dic11C2311yescharacteristic
101C2×C4⋊Dic11C2311yescharacteristic
102C2×C4⋊Dic11C2311yescharacteristic
103#66977—22no—
104#66977—41no—
105C2×Dic11⋊C4—21no—
106C2×Dic11⋊C4—21no—
107C2×Dic11⋊C4—21no—
108C2×C4×Dic11—21no—
109C22×C11⋊C8C2311yescharacteristic
110C22×C11⋊C8C2311yescharacteristic
111C22×C11⋊C8C2311yescharacteristic
112C22×C11⋊C8C2311yescharacteristic
113C4×Dic22—22no—
114C4×Dic22—41no—
115C11×#95—21no—
116C11×#95D411yescharacteristic
117C11×#95D411yescharacteristic
118#66899—22no—
119#66899—22no—
120#66899—22no—
121#66896—22no—
122#66896—22no—
123#66896—41no—
124C11⋊#95—21no—
125C11⋊#95—21no—
126C11⋊#95—21no—
127C11⋊#95—21no—
128C11⋊#95—21no—
129C11⋊#95—21no—
130C22⋊(C11⋊C8)—22no—
131C22⋊(C11⋊C8)—41no—
132#66874—22no—
133#66874—41no—
134#66872—22no—
135#66871—41no—
136C4⋊(C11⋊C8)—41no—
137#66867—22no—
138#24920—111nomaximal, Sylow
139C24×C11—21no—
140C24×C11C2×D411yescharacteristic
141C11×#41—44no—
142C11×#41—44no—
143C11×#41—44no—
144C11×#41—44no—
145C2×Q8×C11—21no—
146C2×Q8×C11—21no—
147C2×Q8×C11—21no—
148C2×Q8×C11C2×D412yes—
149C2×Q8×C11#4112yes—
150C2×Q8×C11#4112yes—
151C2×D4×C11—24no—
152C2×D4×C11—21no—
153C2×D4×C11—21no—
154C2×D4×C11—21no—
155C2×D4×C11—21no—
156C2×D4×C11—21no—
157C2×D4×C11—42no—
158C2×D4×C11—42no—
159C2×D4×C11#4112yes—
160C22×C4×C11—21no—
161C22×C4×C11—24no—
162C22×C4×C11—21no—
163C22×C4×C11—21no—
164C22×C4×C11—21no—
165C22×C4×C11—21no—
166C22×C4×C11—21no—
167C22×C4×C11—21no—
168C22×C4×C11—21no—
169C22×C4×C11—21no—
170C22×C4×C11—42no—
171C22×C4×C11—42no—
172C22×C4×C11C2×D411yescharacteristic
173C22×C4×C11C2×D411yescharacteristic
174C22×C4×C11C2×D411yescharacteristic
175C22×C4×C11C2×D411yescharacteristic
176C22×C4×C11C2×D411yescharacteristic
177C22×C4×C11C2411yescharacteristic
178C22×Dic11—21no—
179C22×Dic11—21no—
180C22×Dic11—21no—
181C22×Dic11—21no—
182C2×Dic22—21no—
183C2×Dic22—21no—
184C2×Dic22—21no—
185C2×Dic22—21no—
186C2×Dic22—21no—
187C2×Dic22C2×D412yes—
188C11×C4⋊C4—21no—
189C11×C4⋊C4—21no—
190C11×C4⋊C4—21no—
191C11×C4⋊C4—21no—
192C11×C4⋊C4—42no—
193C11×C4⋊C4—42no—
194C11×C22⋊C4—41no—
195C11×C22⋊C4—41no—
196C11×C22⋊C4—42no—
197C11×C22⋊C4—42no—
198C11×C22⋊C4—81no—
199C11×C22⋊C4—81no—
200C11×C22⋊C4—81no—
201C42×C11—21no—
202C42×C11—21no—
203C42×C11—21no—
204C42×C11—21no—
205C42×C11—42no—
206C42×C11—42no—
207C22⋊Dic11—42no—
208C22⋊Dic11—42no—
209#4326—28no—
210#4324—44no—
211C4⋊Dic11—21no—
212C4⋊Dic11—21no—
213C4⋊Dic11—21no—
214C4⋊Dic11—21no—
215C4⋊Dic11—21no—
216C4⋊Dic11—21no—
217Dic11⋊C4—42no—
218Dic11⋊C4—42no—
219Dic11⋊C4—42no—
220C4×Dic11—42no—
221C2×C11⋊C8—21no—
222C2×C11⋊C8—21no—
223C2×C11⋊C8—21no—
224C2×C11⋊C8—21no—
225C2×C11⋊C8—21no—
226C2×C11⋊C8—21no—
227C2×C11⋊C8—21no—
228C2×C11⋊C8—21no—
229C2×C11⋊C8—21no—
230C2×C11⋊C8—21no—
231C2×C11⋊C8—21no—
232C2×C11⋊C8C2×D412yes—
233C2×#452—111no—
234C2×#441—111no—
235#2421—111no—
236#2341D1111yescharacteristic
237#2092—111no—
238#2077—111no—
239#2055—111no—
240#2036—111no—
241#1936—111no—
242#1924—111no—
243#1880—111no—
244#1878—111no—
245#1863—111no—
246#1805—111no—
247#1788—111no—
248C23×C11—21no—
249C23×C11—22no—
250C23×C11—21no—
251C23×C11—21no—
252C23×C11—21no—
253C23×C11—21no—
254C23×C11—21no—
255C23×C11—21no—
256C23×C11—41no—
257C23×C11—41no—
258C23×C11—41no—
259C23×C11—41no—
260C23×C11—41no—
261C23×C11—41no—
262C23×C11C22×D411yescharacteristic
263Q8×C11—22no—
264Q8×C11—22no—
265Q8×C11—22no—
266Q8×C11#12314yes—
267D4×C11—22no—
268D4×C11—22no—
269D4×C11—48no—
270D4×C11—41no—
271D4×C11—41no—
272C2×C4×C11—22no—
273C2×C4×C11—22no—
274C2×C4×C11—22no—
275C2×C4×C11—21no—
276C2×C4×C11—21no—
277C2×C4×C11—21no—
278C2×C4×C11—21no—
279C2×C4×C11—21no—
280C2×C4×C11—21no—
281C2×C4×C11—21no—
282C2×C4×C11—21no—
283C2×C4×C11—21no—
284C2×C4×C11—21no—
285C2×C4×C11—21no—
286C2×C4×C11—21no—
287C2×C4×C11—21no—
288C2×C4×C11—21no—
289C2×C4×C11—21no—
290C2×C4×C11—48no—
291C2×C4×C11—41no—
292C2×C4×C11—41no—
293C2×C4×C11—41no—
294C2×C4×C11—41no—
295C2×C4×C11—41no—
296C2×C4×C11—41no—
297C2×C4×C11—41no—
298C2×C4×C11—41no—
299C2×C4×C11—41no—
300C2×C4×C11—41no—
301C2×C4×C11C22×D411yescharacteristic
302C2×C4×C11C2×#4111yescharacteristic
303C2×C4×C11C2×#4111yescharacteristic
304C2×C4×C11C2×#4111yescharacteristic
305C2×C4×C11H(5,𝔽2)11yescharacteristic
306C2×C4×C11H(5,𝔽2)11yescharacteristic
307C2×Dic11—22no—
308C2×Dic11—41no—
309C2×Dic11—41no—
310C2×Dic11—41no—
311C2×Dic11—41no—
312C2×Dic11—41no—
313C2×Dic11—41no—
314C2×Dic11—41no—
315C2×Dic11—41no—
316C2×Dic11—41no—
317C2×Dic11—41no—
318C2×Dic11—41no—
319Dic22—22no—
320Dic22—22no—
321Dic22—41no—
322Dic22—41no—
323C11⋊C8—22no—
324C11⋊C8—41no—
325C11⋊C8—41no—
326C11⋊C8—41no—
327C22×#41C2×D1111yescharacteristic
328C22×Q16—111no—
329C22×SD16—111no—
330C2×C22⋊Q8—111no—
331C2×C4×Q8—111no—
332C2×C4×Q8C2×D1111yescharacteristic
333C2×C4×Q8C2×D1111yescharacteristic
334#452—224no—
335#441—224no—
336C2×#107—111no—
337C2×#106—111no—
338C2×C4⋊C8—111no—
339C2×#103—111no—
340C2×#103—111no—
341C2×#103—111no—
342C2×#103—111no—
343C2×#103—111no—
344C2×#102—111no—
345C2×#102—111no—
346C2×#102—111no—
347C2×C22⋊C8—111no—
348C2×C22⋊C8—111no—
349C2×#97—111no—
350#400—221no—
351#397—221no—
352#391—111no—
353#390—21no—
354#390—21no—
355#390C2×D1111yescharacteristic
356#390C2×D1111yescharacteristic
357#389—111no—
358#388—221no—
359#387—221no—
360#382—111no—
361#380—21no—
362#380—111no—
363#380C2×D1111yescharacteristic
364C4×C22⋊C4—21no—
365C4×C22⋊C4C2×D1111yescharacteristic
366#340—111no—
367#340—111no—
368#340—111no—
369#340—111no—
370#336—111no—
371#336—111no—
372C22×C11—41no—
373C22×C11—42no—
374C22×C11—41no—
375C22×C11—42no—
376C22×C11—42no—
377C22×C11—41no—
378C22×C11—41no—
379C22×C11—41no—
380C22×C11—41no—
381C22×C11—41no—
382C22×C11—81no—
383C22×C11—81no—
384C22×C11—81no—
385C22×C11—81no—
386C22×C11#52511yescharacteristic
387C22×C11D4211yescharacteristic
388C22×C11#54611yescharacteristic
389C22×C11#57511yescharacteristic
390C22×C11#57511yescharacteristic
391C22×C11#57711yescharacteristic
392C22×C11#57811yescharacteristic
393C4×C11—24no—
394C4×C11—41no—
395C4×C11—41no—
396C4×C11—41no—
397C4×C11—41no—
398C4×C11—41no—
399C4×C11—81no—
400C4×C11—81no—
401C4×C11C2×#12311yescharacteristic
402C4×C11#53811yescharacteristic
403C4×C11#54611yescharacteristic
404C4×C11#55111yescharacteristic
405Dic11—42no—
406Dic11—81no—
407Dic11—81no—
408Dic11—81no—
409C2×#41—22no—
410C2×#41—22no—
411C2×#41—22no—
412C2×#41—22no—
413C2×#41—41no—
414C2×#41—41no—
415C22×Q8—111no—
416C22×Q8C22×D1111yescharacteristic
417C22×D4—21no—
418C22×D4C22×D1111yescharacteristic
419C23×C4—21no—
420C23×C4C22×D1111yescharacteristic
421C2×Q16—114no—
422C2×Q16—222no—
423C2×Q16—222no—
424C2×SD16—222no—
425C2×SD16—222no—
426C2×SD16—441no—
427C22×C8—111no—
428C22×C8—111no—
429C22×C8—111no—
430C22×C8—111no—
431C22⋊Q8—222no—
432C22⋊Q8—441no—
433C4×Q8—22no—
434C4×Q8—22no—
435C4×Q8—41no—
436C4×Q8—41no—
437C4×Q8—222no—
438C4×Q8—441no—
439C2×C4⋊C4—21no—
440C2×C4⋊C4—21no—
441C2×C4⋊C4—111no—
442C2×C4⋊C4—111no—
443C2×C4⋊C4—111no—
444C2×C4⋊C4—221no—
445C2×C4⋊C4—221no—
446C2×C4⋊C4—221no—
447C2×C4⋊C4C22×D1111yescharacteristic
448C2×C4⋊C4C22×D1111yescharacteristic
449C2×C22⋊C4—21no—
450C2×C22⋊C4—21no—
451C2×C22⋊C4—21no—
452C2×C22⋊C4—21no—
453C2×C22⋊C4—21no—
454C2×C22⋊C4—221no—
455C2×C22⋊C4—221no—
456C2×C22⋊C4C22⋊D1111yescharacteristic
457C2×C22⋊C4C22⋊D1111yescharacteristic
458C2×C42—21no—
459C2×C42—21no—
460C2×C42—221no—
461C2×C42C22×D1111yescharacteristic
462C2×C42C22×D1111yescharacteristic
463#107—441no—
464#106—222no—
465C4⋊C8—441no—
466#103—222no—
467#103—222no—
468#103—222no—
469#103—222no—
470#103—441no—
471#102—222no—
472#102—222no—
473#102—441no—
474C22⋊C8—222no—
475C22⋊C8—441no—
476#97—222no—
477#95—21no—
478#95—221no—
479#95—221no—
480#95—221no—
481#95—221no—
482#95—221no—
483#95—221no—
484#95C22⋊D1111yescharacteristic
485#95C22⋊D1111yescharacteristic
486C2×C11—81no—
487C2×C11—82no—
488C2×C11#241811yescharacteristic
489C2×C11#311111yescharacteristic
490C2×C11#312011yescharacteristic
491C2×C11#327111yescharacteristic
492C2×C11#327711yescharacteristic
493C2×C11#331311yescharacteristic
494C2×C11#331711yescharacteristic
495C24—21no—
496C24C2×C22⋊D1111yescharacteristic
497#41—44no—
498#41—44no—
499#41—44no—
500#41—44no—
501C2×Q8—21no—
502C2×Q8—21no—
503C2×Q8—21no—
504C2×Q8—112no—
505C2×Q8—221no—
506C2×Q8—221no—
507C2×Q8—221no—
508C2×Q8—221no—
509C2×Q8—221no—
510C2×Q8#433912yes—
511C2×Q8D4×D1112yes—
512C2×Q8#434112yes—
513C2×D4—24no—
514C2×D4—21no—
515C2×D4—21no—
516C2×D4—21no—
517C2×D4—21no—
518C2×D4—21no—
519C2×D4—42no—
520C2×D4—42no—
521C2×D4#433912yes—
522C22×C4—21no—
523C22×C4—24no—
524C22×C4—21no—
525C22×C4—21no—
526C22×C4—21no—
527C22×C4—21no—
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—21no—
531C22×C4—21no—
532C22×C4—42no—
533C22×C4—42no—
534C22×C4—221no—
535C22×C4—221no—
536C22×C4—221no—
537C22×C4—221no—
538C22×C4C2×C22⋊D1111yescharacteristic
539C22×C4C2×C22⋊D1111yescharacteristic
540C22×C4C2×C22⋊D1111yescharacteristic
541C22×C4C2×C22⋊D1111yescharacteristic
542C22×C4C2×C22⋊D1111yescharacteristic
543C22×C4C23×D1111yescharacteristic
544Q16—228no—
545SD16—444no—
546C2×C8—112no—
547C2×C8—221no—
548C2×C8—221no—
549C2×C8—221no—
550C2×C8—221no—
551C2×C8—221no—
552C2×C8—221no—
553C2×C8—221no—
554C2×C8—221no—
555C2×C8—221no—
556C2×C8—221no—
557C2×C8—221no—
558C4⋊C4—21no—
559C4⋊C4—21no—
560C4⋊C4—21no—
561C4⋊C4—21no—
562C4⋊C4—42no—
563C4⋊C4—42no—
564C4⋊C4—221no—
565C4⋊C4—221no—
566C4⋊C4—221no—
567C4⋊C4—221no—
568C4⋊C4—221no—
569C4⋊C4—221no—
570C4⋊C4—442no—
571C4⋊C4—442no—
572C4⋊C4—442no—
573C22⋊C4—41no—
574C22⋊C4—41no—
575C22⋊C4—42no—
576C22⋊C4—42no—
577C22⋊C4—81no—
578C22⋊C4—81no—
579C22⋊C4—81no—
580C22⋊C4—442no—
581C22⋊C4—442no—
582C42—21no—
583C42—21no—
584C42—21no—
585C42—21no—
586C42—42no—
587C42—42no—
588C42—442no—
589C11#2492011yescharacteristic, complemented, Sylow
590C23—21no—
591C23—22no—
592C23—21no—
593C23—21no—
594C23—21no—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—41no—
599C23—41no—
600C23—41no—
601C23—41no—
602C23—41no—
603C23—41no—
604C23C22×C22⋊D1111yescharacteristic
605Q8—22no—
606Q8—22no—
607Q8—22no—
608Q8—222no—
609Q8—222no—
610Q8—441no—
611Q8—441no—
612Q8#6693614yes—
613D4—22no—
614D4—22no—
615D4—48no—
616D4—41no—
617D4—41no—
618C2×C4—22no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—48no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—222no—
648C2×C4—441no—
649C2×C4—441no—
650C2×C4—441no—
651C2×C4—441no—
652C2×C4—441no—
653C2×C4—441no—
654C2×C4—441no—
655C2×C4—441no—
656C2×C4—441no—
657C2×C4—441no—
658C2×C4—441no—
659C2×C4C2×#433911yescharacteristic
660C2×C4C2×#433911yescharacteristic
661C2×C4C2×D4×D1111yescharacteristic
662C2×C4C2×#434111yescharacteristic
663C2×C4#6703711yescharacteristic
664C2×C4#6703711yescharacteristic
665C8—222no—
666C8—441no—
667C8—441no—
668C8—441no—
669C22—41no—
670C22—42no—
671C22—41no—
672C22—41no—
673C22—41no—
674C22—41no—
675C22—42no—
676C22—41no—
677C22—42no—
678C22—41no—
679C22—81no—
680C22—81no—
681C22—81no—
682C22—81no—
683C22#1062332211yescharacteristic
684C22D4×C22⋊D1111yescharacteristic
685C22#1062333711yescharacteristic
686C22#1062335311yescharacteristic
687C22#1062335311yescharacteristic
688C22#1062336711yescharacteristic
689C22#1062336911yescharacteristic
690C4—24no—
691C4—41no—
692C4—41no—
693C4—41no—
694C4—41no—
695C4—41no—
696C4—81no—
697C4—81no—
698C4—442no—
699C4—881no—
700C4—881no—
701C4—881no—
702C4C2×#6693611yescharacteristic
703C4#1062302111yescharacteristic
704C4#1062302511yescharacteristic
705C4#1062302611yescharacteristic
706C2—81no—
707C2—82no—
708C2#1307207811yescharacteristic
709C2#1307872511yescharacteristic
710C2#1307883011yescharacteristic
711C2#1308019711yescharacteristic
712C2#1308026911yescharacteristic
713C2#1308068211yescharacteristic
714C2#1308074211yescharacteristic
subgroupG/H
centerC23C22×C22⋊D11
commutator, cosocleC22×C4×C11C24
FrattiniC22×C4C23×D11
FittingC11×#2341C2
socleC23×C11C22×D4
prime radicalC22×C11×#41C22
hypercenter#2341D11
hypocenterC11#24920
LCSG ▷ C22×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C4×C22⋊C4 ◁ #2341

Complements

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

NH ≅ G/Ntype
2. C2×#10622643C2semidirect
3. #13072119C2semidirect
4. #13070137C2semidirect
5. #13070052C2semidirect
6. #13069933C2semidirect
7. #13069819C2semidirect
8. #13069316C2semidirect
9. #13069231C2semidirect
10. #13068974C2semidirect
11. #13068957C2semidirect
12. #13068870C2semidirect
13. #13068631C2semidirect
589. C11#24920semidirect

Maximal subgroups

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

subgroupindex
C2×#106228522
C2×#106226432
#130721192
#130701372
#130700522
#130699332
#130698192
#130693162
#130692312
#130689742
#130689572
#130688702
#130686312
#130685562
C11×#23412
#2492011