Finite Group Databasebeta

← C2×#19139106 #25265717

Subgroups — C2×#19139106 #25265717

Order 11008.

2358 conjugacy classes of subgroups.

The subgroup lattice has 668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#13063316C211yesmaximal, characteristic
2C22×#13063315C211yesmaximal, characteristic
3#19139106C2116yesmaximal, direct product factor
4C2×#14582839C211yesmaximal, characteristic
5C2×#14582833C211yesmaximal, characteristic
6C2×#14582833C211yesmaximal, characteristic
7C2×#14582796C211yesmaximal, characteristic
8C2×#14582796C211yesmaximal, characteristic
9C2×#14582796C211yesmaximal, characteristic
10C2×#14582794C211yesmaximal, characteristic
11C2×#14582786C211yesmaximal, characteristic
12C2×#14582781C211yesmaximal, characteristic
13C2×#14582768C211yesmaximal, characteristic
14C2×#14582750C211yesmaximal, characteristic
15C2×#14582750C211yesmaximal, characteristic
16C2×C43×#400C211yesmaximal, characteristic
17C2×#13063316—28no—
18C2×#13063316C2218yes—
19C2×#13063315—28no—
20C2×#13063315C2218yes—
21C22×C4⋊Dic43C2211yescharacteristic
22C22×C4⋊Dic43C2211yescharacteristic
23C22×C4⋊Dic43C2211yescharacteristic
24C22×C4⋊Dic43C2211yescharacteristic
25C22×Dic43⋊C4C2211yescharacteristic
26C22×Dic43⋊C4C2211yescharacteristic
27C22×Dic43⋊C4C2211yescharacteristic
28C22×Dic43⋊C4C2211yescharacteristic
29C22×Dic43⋊C4C2211yescharacteristic
30C22×Dic43⋊C4C2211yescharacteristic
31C22×Dic43⋊C4C2211yescharacteristic
32C22×Dic43⋊C4C2211yescharacteristic
33C22×Dic43⋊C4C2211yescharacteristic
34C22×Dic43⋊C4C2211yescharacteristic
35C22×Dic43⋊C4C2211yescharacteristic
36C22×Dic43⋊C4C2211yescharacteristic
37C22×C4×Dic43C2211yescharacteristic
38C22×C4×Dic43C2211yescharacteristic
39C22×C4×Dic43C2211yescharacteristic
40C22×C4×Dic43C2211yescharacteristic
41C22×C4×Dic43C2211yescharacteristic
42#14582839C2218yes—
43#14582833C2218yes—
44#14582833C2218yes—
45#14582796C2218yes—
46#14582796C2218yes—
47#14582796C2218yes—
48#14582794C2218yes—
49#14582786C2218yes—
50#14582781C2218yes—
51#14582768C2218yes—
52#14582750C2218yes—
53#14582750C2218yes—
54C2×C43⋊#95C2211yescharacteristic
55C2×C43⋊#95C2211yescharacteristic
56C2×C43⋊#95C2211yescharacteristic
57C2×C43⋊#95C2211yescharacteristic
58C2×C43⋊#95C2211yescharacteristic
59C2×C43⋊#95C2211yescharacteristic
60C2×C43⋊#95C2211yescharacteristic
61C22×C4⋊C4×C43C2211yescharacteristic
62C22×C4⋊C4×C43C2211yescharacteristic
63C43×#400C2218yes—
64C2×#95×C43C2211yescharacteristic
65C2×#95×C43C2211yescharacteristic
66C2×#95×C43C2211yescharacteristic
67C2×#95×C43C2211yescharacteristic
68C2×#95×C43C2211yescharacteristic
69C23×Dic43C2311yescharacteristic
70C23×Dic43C2311yescharacteristic
71C23×Dic43C2311yescharacteristic
72C23×Dic43C2311yescharacteristic
73C23×Dic43C2311yescharacteristic
74C23×Dic43C2311yescharacteristic
75C23×Dic43C2311yescharacteristic
76C23×Dic43C2311yescharacteristic
77#13063316—232no—
78#13063315—232no—
79C2×C4⋊Dic43—24no—
80C2×C4⋊Dic43—24no—
81C2×C4⋊Dic43—24no—
82C2×C4⋊Dic43—24no—
83C2×C4⋊Dic43C2314yes—
84C2×C4⋊Dic43C2314yes—
85C2×C4⋊Dic43C2314yes—
86C2×C4⋊Dic43C2314yes—
87C2×Dic43⋊C4—24no—
88C2×Dic43⋊C4—24no—
89C2×Dic43⋊C4—24no—
90C2×Dic43⋊C4—24no—
91C2×Dic43⋊C4—24no—
92C2×Dic43⋊C4—24no—
93C2×Dic43⋊C4—24no—
94C2×Dic43⋊C4—24no—
95C2×Dic43⋊C4—24no—
96C2×Dic43⋊C4—24no—
97C2×Dic43⋊C4D418yes—
98C2×Dic43⋊C4Q818yes—
99C2×Dic43⋊C4C2314yes—
100C2×Dic43⋊C4C2314yes—
101C2×Dic43⋊C4C2314yes—
102C2×Dic43⋊C4C2314yes—
103C2×Dic43⋊C4C2314yes—
104C2×Dic43⋊C4C2314yes—
105C2×Dic43⋊C4C2314yes—
106C2×Dic43⋊C4C2314yes—
107C2×Dic43⋊C4C2314yes—
108C2×Dic43⋊C4C2314yes—
109C2×Dic43⋊C4C2314yes—
110C2×Dic43⋊C4C2314yes—
111C2×C4×Dic43—24no—
112C2×C4×Dic43—24no—
113C2×C4×Dic43—24no—
114C2×C4×Dic43—24no—
115C2×C4×Dic43—24no—
116C2×C4×Dic43C2314yes—
117C2×C4×Dic43C2314yes—
118C2×C4×Dic43C2314yes—
119C2×C4×Dic43C2314yes—
120C2×C4×Dic43C2314yes—
121C43⋊#95C2314yes—
122C43⋊#95C2314yes—
123C43⋊#95C2314yes—
124C43⋊#95C2314yes—
125C43⋊#95C2314yes—
126C43⋊#95C2314yes—
127C43⋊#95C2314yes—
128C23×C4×C43C2311yescharacteristic
129C23×C4×C43C2311yescharacteristic
130C23×C4×C43C2311yescharacteristic
131C23×C4×C43C2311yescharacteristic
132C23×C4×C43C2311yescharacteristic
133C23×C4×C43C2311yescharacteristic
134C23×C4×C43C2311yescharacteristic
135C2×C4⋊C4×C43—24no—
136C2×C4⋊C4×C43—24no—
137C2×C4⋊C4×C43C2314yes—
138C2×C4⋊C4×C43C2314yes—
139#95×C43C2314yes—
140#95×C43C2314yes—
141#95×C43C2314yes—
142#95×C43C2314yes—
143#95×C43C2314yes—
144C24×C43C2411yescharacteristic
145C22×C4×C43—22no—
146C22×C4×C43—22no—
147C22×C4×C43—22no—
148C22×C4×C43—22no—
149C22×C4×C43—22no—
150C22×C4×C43—22no—
151C22×C4×C43—22no—
152C22×C4×C43—22no—
153C22×C4×C43—22no—
154C22×C4×C43—22no—
155C22×C4×C43—22no—
156C22×C4×C43—22no—
157C22×C4×C43—22no—
158C22×C4×C43—22no—
159C22×C4×C43—22no—
160C22×C4×C43—22no—
161C22×C4×C43—22no—
162C22×C4×C43—22no—
163C22×C4×C43—22no—
164C22×C4×C43C2×D414yes—
165C22×C4×C43C2×Q814yes—
166C22×C4×C43C2412yes—
167C22×C4×C43C2412yes—
168C22×C4×C43C2412yes—
169C22×C4×C43C2412yes—
170C22×C4×C43C2412yes—
171C22×C4×C43C2412yes—
172C22×C4×C43C2412yes—
173C22×Dic43—22no—
174C22×Dic43—22no—
175C22×Dic43—22no—
176C22×Dic43—22no—
177C22×Dic43—22no—
178C22×Dic43—22no—
179C22×Dic43—22no—
180C22×Dic43—22no—
181C22×Dic43—22no—
182C22×Dic43—22no—
183C22×Dic43—22no—
184C22×Dic43—22no—
185C22×Dic43—22no—
186C22×Dic43—22no—
187C22×Dic43—22no—
188C22×Dic43—22no—
189C22×Dic43—22no—
190C22×Dic43C2×D414yes—
191C22×Dic43C2×D414yes—
192C22×Dic43C2×Q814yes—
193C22×Dic43C2×Q814yes—
194C22×Dic43#4114yes—
195C22×Dic43#4114yes—
196C22×Dic43#4114yes—
197C22×Dic43C2412yes—
198C22×Dic43C2412yes—
199C22×Dic43C2412yes—
200C22×Dic43C2412yes—
201C22×Dic43C2412yes—
202C22×Dic43C2412yes—
203C22×Dic43C2412yes—
204C22×Dic43C2412yes—
205C4⋊C4×C43—28no—
206C4⋊C4×C43—28no—
207C4⋊Dic43—28no—
208C4⋊Dic43—28no—
209C4⋊Dic43—28no—
210C4⋊Dic43—28no—
211Dic43⋊C4—28no—
212Dic43⋊C4—28no—
213Dic43⋊C4—28no—
214Dic43⋊C4—28no—
215Dic43⋊C4—28no—
216Dic43⋊C4—28no—
217Dic43⋊C4—28no—
218Dic43⋊C4—28no—
219Dic43⋊C4—28no—
220Dic43⋊C4—28no—
221Dic43⋊C4C2×D4116yes—
222Dic43⋊C4C2×Q8116yes—
223C4×Dic43—28no—
224C4×Dic43—28no—
225C4×Dic43—28no—
226C4×Dic43—28no—
227C4×Dic43—28no—
228C23×C43C22×D412yes—
229C23×C43C22×Q812yes—
230C23×C43C2×#4112yes—
231C23×C43C2×#4112yes—
232C23×C43C2×#4112yes—
233C23×C432−1+412yes—
234C23×C432−1+412yes—
235C23×C43C2511yescharacteristic
236C2×C4×C43—28no—
237C2×C4×C43—28no—
238C2×C4×C43—22no—
239C2×C4×C43—22no—
240C2×C4×C43—22no—
241C2×C4×C43—22no—
242C2×C4×C43—22no—
243C2×C4×C43—22no—
244C2×C4×C43—22no—
245C2×C4×C43—22no—
246C2×C4×C43—22no—
247C2×C4×C43—22no—
248C2×C4×C43—22no—
249C2×C4×C43—22no—
250C2×C4×C43—22no—
251C2×C4×C43—22no—
252C2×C4×C43—22no—
253C2×C4×C43—22no—
254C2×C4×C43—22no—
255C2×C4×C43—22no—
256C2×C4×C43—22no—
257C2×C4×C43—44no—
258C2×C4×C43—44no—
259C2×C4×C43—44no—
260C2×C4×C43—44no—
261C2×C4×C43—44no—
262C2×C4×C43C22×D414yes—
263C2×C4×C43C22×Q814yes—
264C2×Dic43—28no—
265C2×Dic43—28no—
266C2×Dic43—28no—
267C2×Dic43—28no—
268C2×Dic43—22no—
269C2×Dic43—22no—
270C2×Dic43—22no—
271C2×Dic43—22no—
272C2×Dic43—22no—
273C2×Dic43—22no—
274C2×Dic43—22no—
275C2×Dic43—22no—
276C2×Dic43—22no—
277C2×Dic43—22no—
278C2×Dic43—22no—
279C2×Dic43—22no—
280C2×Dic43—22no—
281C2×Dic43—22no—
282C2×Dic43—22no—
283C2×Dic43—22no—
284C2×Dic43—22no—
285C2×Dic43—44no—
286C2×Dic43—44no—
287C2×Dic43—44no—
288C2×Dic43#125116yescomplemented
289C2×Dic43C22×D414yes—
290C2×Dic43C22×D414yes—
291C2×Dic43C22×Q814yes—
292C2×Dic43C22×Q814yes—
293C2×Dic43C2×#4114yes—
294C2×Dic43C2×#4114yes—
295C2×Dic43C2×#4114yes—
296C2×#2506—431nomaximal, Sylow
297C22×C43C2×#12514yes—
298C22×C43#53214yes—
299C22×C43#54114yes—
300C22×C43#54714yes—
301C22×C43D4×Q814yes—
302C22×C43#55214yes—
303C22×C43#55714yes—
304C22×C43C23×D411yescharacteristic
305C22×C43C23×Q811yescharacteristic
306C22×C43C22×#4111yescharacteristic
307C22×C43C22×#4111yescharacteristic
308C22×C43C22×#4111yescharacteristic
309C22×C43C2×2−1+411yescharacteristic
310C22×C43C2×2−1+411yescharacteristic
311C4×C43—24no—
312C4×C43—24no—
313C4×C43—42no—
314C4×C43—42no—
315C4×C43—42no—
316C4×C43—42no—
317C4×C43—42no—
318Dic43—24no—
319Dic43—24no—
320Dic43—24no—
321Dic43—24no—
322Dic43—42no—
323Dic43—42no—
324Dic43—42no—
325Dic43C2×#12518yescomplemented
326C22×#125—431no—
327C22×#125—431no—
328#2506—4316no—
329C2×#400—431no—
330C2×#400D4311yescharacteristic
331C2×#398—431no—
332C2×#398—431no—
333C2×#389—431no—
334C2×#389—431no—
335C2×#389—431no—
336C2×#389—431no—
337C2×#387—431no—
338C2×#387—431no—
339C2×#384—431no—
340C2×C4×C4⋊C4—431no—
341C2×C4×C4⋊C4—431no—
342C2×C43#250618yescomplemented
343C2×C43C22×#12511yescharacteristic
344C2×C43C2×#53211yescharacteristic
345C2×C43C2×#54111yescharacteristic
346C2×C43C2×#54711yescharacteristic
347C2×C43C2×D4×Q811yescharacteristic
348C2×C43C2×#55211yescharacteristic
349C2×C43C2×#55711yescharacteristic
350C2×#125—438no—
351C2×#125—438no—
352C2×#125—868no—
353C2×#125—868no—
354C22×C4⋊C4—431no—
355C22×C4⋊C4—431no—
356C22×C4⋊C4—431no—
357C22×C4⋊C4—431no—
358C22×C4⋊C4—431no—
359C22×C4⋊C4—431no—
360C22×C4⋊C4—431no—
361C22×C4⋊C4—431no—
362C22×C4⋊C4—431no—
363C22×C4⋊C4—431no—
364C22×C4⋊C4—431no—
365C22×C4⋊C4—431no—
366C22×C4⋊C4—431no—
367C22×C4⋊C4—431no—
368C22×C4⋊C4—431no—
369C22×C4⋊C4—431no—
370C22×C4⋊C4C2×D4311yescharacteristic
371C22×C4⋊C4C2×D4311yescharacteristic
372C22×C42—431no—
373C22×C42—431no—
374C22×C42—431no—
375C22×C42—431no—
376C22×C42—431no—
377#400—438no—
378#400C2×D4318yes—
379#398—438no—
380#398—438no—
381#389—438no—
382#389—438no—
383#389—438no—
384#389—438no—
385#387—438no—
386#387—438no—
387#384—438no—
388C4×C4⋊C4—438no—
389C4×C4⋊C4—438no—
390C2×#95—431no—
391C2×#95—431no—
392C2×#95—431no—
393C2×#95—431no—
394C2×#95—431no—
395C2×#95—431no—
396C2×#95—431no—
397C2×#95C2×D4311yescharacteristic
398C2×#95C2×D4311yescharacteristic
399C2×#95C2×D4311yescharacteristic
400C2×#95C2×D4311yescharacteristic
401C2×#95C2×D4311yescharacteristic
402C43C2×#250611yescharacteristic, complemented, Sylow
403C23×C4—431no—
404C23×C4—431no—
405C23×C4—431no—
406C23×C4—431no—
407C23×C4—431no—
408C23×C4—431no—
409C23×C4—431no—
410C23×C4—431no—
411C23×C4C22×D4311yescharacteristic
412C23×C4C22×D4311yescharacteristic
413C23×C4C22×D4311yescharacteristic
414C23×C4C22×D4311yescharacteristic
415C23×C4C22×D4311yescharacteristic
416C23×C4C22×D4311yescharacteristic
417C23×C4C22×D4311yescharacteristic
418#125—8632no—
419#125—8632no—
420C2×C4⋊C4—24no—
421C2×C4⋊C4—24no—
422C2×C4⋊C4—438no—
423C2×C4⋊C4—438no—
424C2×C4⋊C4—434no—
425C2×C4⋊C4—434no—
426C2×C4⋊C4—434no—
427C2×C4⋊C4—434no—
428C2×C4⋊C4—434no—
429C2×C4⋊C4—434no—
430C2×C4⋊C4—434no—
431C2×C4⋊C4—434no—
432C2×C4⋊C4—434no—
433C2×C4⋊C4—434no—
434C2×C4⋊C4—434no—
435C2×C4⋊C4—434no—
436C2×C4⋊C4—434no—
437C2×C4⋊C4—434no—
438C2×C4⋊C4—434no—
439C2×C4⋊C4—434no—
440C2×C4⋊C4—864no—
441C2×C4⋊C4—864no—
442C2×C4⋊C4—864no—
443C2×C4⋊C4—864no—
444C2×C4⋊C4—864no—
445C2×C4⋊C4—864no—
446C2×C4⋊C4—864no—
447C2×C4⋊C4—864no—
448C2×C4⋊C4—864no—
449C2×C4⋊C4—864no—
450C2×C4⋊C4—864no—
451C2×C4⋊C4—864no—
452C2×C4⋊C4—864no—
453C2×C4⋊C4—864no—
454C2×C4⋊C4C22×D4314yes—
455C2×C4⋊C4C22×D4314yes—
456C2×C42—434no—
457C2×C42—434no—
458C2×C42—434no—
459C2×C42—434no—
460C2×C42—434no—
461C2×C42—864no—
462C2×C42—864no—
463C2×C42—864no—
464C2×C42—864no—
465C2×C42—864no—
466#95—434no—
467#95—434no—
468#95—434no—
469#95—434no—
470#95—434no—
471#95—434no—
472#95—434no—
473#95C22×D4314yes—
474#95C22×D4314yes—
475#95C22×D4314yes—
476#95C22×D4314yes—
477#95C22×D4314yes—
478C24C23×D4311yescharacteristic
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—22no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—434no—
499C22×C4—434no—
500C22×C4—434no—
501C22×C4—432no—
502C22×C4—434no—
503C22×C4—434no—
504C22×C4—434no—
505C22×C4—434no—
506C22×C4—432no—
507C22×C4—432no—
508C22×C4—432no—
509C22×C4—432no—
510C22×C4—432no—
511C22×C4—432no—
512C22×C4—432no—
513C22×C4—862no—
514C22×C4—862no—
515C22×C4—862no—
516C22×C4—862no—
517C22×C4—862no—
518C22×C4—862no—
519C22×C4—862no—
520C22×C4—862no—
521C22×C4—862no—
522C22×C4—862no—
523C22×C4—862no—
524C22×C4—862no—
525C22×C4—862no—
526C22×C4—862no—
527C22×C4—862no—
528C22×C4—862no—
529C22×C4—862no—
530C22×C4D4×D4314yes—
531C22×C4Q8×D4314yes—
532C22×C4C23×D4312yes—
533C22×C4C23×D4312yes—
534C22×C4C23×D4312yes—
535C22×C4C23×D4312yes—
536C22×C4C23×D4312yes—
537C22×C4C23×D4312yes—
538C22×C4C23×D4312yes—
539C4⋊C4—28no—
540C4⋊C4—28no—
541C4⋊C4—4316no—
542C4⋊C4—4316no—
543C4⋊C4—868no—
544C4⋊C4—868no—
545C4⋊C4—868no—
546C4⋊C4—868no—
547C4⋊C4—868no—
548C4⋊C4—868no—
549C4⋊C4—868no—
550C4⋊C4—868no—
551C4⋊C4—868no—
552C4⋊C4—868no—
553C4⋊C4—868no—
554C4⋊C4—868no—
555C4⋊C4—868no—
556C4⋊C4—868no—
557C42—868no—
558C42—868no—
559C42—868no—
560C42—868no—
561C42—868no—
562C23C2×D4×D4312yes—
563C23C2×Q8×D4312yes—
564C23#41×D4312yes—
565C23#41×D4312yes—
566C23#41×D4312yes—
567C23#1306337212yes—
568C23#1306337212yes—
569C23C24×D4311yescharacteristic
570C2×C4—28no—
571C2×C4—22no—
572C2×C4—22no—
573C2×C4—22no—
574C2×C4—22no—
575C2×C4—28no—
576C2×C4—22no—
577C2×C4—22no—
578C2×C4—22no—
579C2×C4—22no—
580C2×C4—22no—
581C2×C4—22no—
582C2×C4—22no—
583C2×C4—22no—
584C2×C4—22no—
585C2×C4—22no—
586C2×C4—22no—
587C2×C4—22no—
588C2×C4—22no—
589C2×C4—22no—
590C2×C4—22no—
591C2×C4—44no—
592C2×C4—44no—
593C2×C4—44no—
594C2×C4—44no—
595C2×C4—44no—
596C2×C4—4316no—
597C2×C4—434no—
598C2×C4—434no—
599C2×C4—434no—
600C2×C4—434no—
601C2×C4—434no—
602C2×C4—434no—
603C2×C4—434no—
604C2×C4—868no—
605C2×C4—868no—
606C2×C4—868no—
607C2×C4—862no—
608C2×C4—862no—
609C2×C4—862no—
610C2×C4—862no—
611C2×C4—862no—
612C2×C4—862no—
613C2×C4—862no—
614C2×C4—862no—
615C2×C4—868no—
616C2×C4—862no—
617C2×C4—862no—
618C2×C4—862no—
619C2×C4—862no—
620C2×C4—862no—
621C2×C4—862no—
622C2×C4—862no—
623C2×C4—862no—
624C2×C4—862no—
625C2×C4—1724no—
626C2×C4—1724no—
627C2×C4—1724no—
628C2×C4C2×D4×D4314yes—
629C2×C4C2×Q8×D4314yes—
630C22#125×D4314yes—
631C22#1458344814yes—
632C22#1458350614yes—
633C22#1458354714yes—
634C22#1458356214yes—
635C22#1458358514yes—
636C22#1458362614yes—
637C22C22×D4×D4311yescharacteristic
638C22C22×Q8×D4311yescharacteristic
639C22C2×#41×D4311yescharacteristic
640C22C2×#41×D4311yescharacteristic
641C22C2×#41×D4311yescharacteristic
642C22C2×#1306337211yescharacteristic
643C22C2×#1306337211yescharacteristic
644C4—24no—
645C4—24no—
646C4—42no—
647C4—42no—
648C4—42no—
649C4—42no—
650C4—42no—
651C4—438no—
652C4—864no—
653C4—864no—
654C4—864no—
655C4—864no—
656C4—1722no—
657C4—1722no—
658C4—1722no—
659C2#1913910618yesdirect product factor
660C2C2×#125×D4311yescharacteristic
661C2C2×#1458344811yescharacteristic
662C2C2×#1458350611yescharacteristic
663C2C2×#1458354711yescharacteristic
664C2C2×#1458356211yescharacteristic
665C2C2×#1458358511yescharacteristic
666C2C2×#1458362611yescharacteristic
subgroupG/H
centerC24C23×D43
commutator, cosocleC23×C43C25
FrattiniC23C24×D43
FittingC2×C43×#400C2
socle, prime radicalC24×C43C24
hypercenterC2×#400D43
hypocenterC43C2×#2506
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C24 ◁ C2×#400

Complements

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

NH ≅ G/Ntype
3. #19139106C2direct (N × H)
288. C2×Dic43#125semidirect
325. Dic43C2×#125semidirect
342. C2×C43#2506semidirect
402. C43C2×#2506semidirect
659. C2#19139106direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#130633162
C22×#130633152
#191391062
C2×#145828392
C2×#145828332
C2×#145827962
C2×#145827942
C2×#145827862
C2×#145827812
C2×#145827682
C2×#145827502
C2×C43×#4002
C2×#250643