Finite Group Databasebeta

← #1494347

Subgroups — #1494347

Order 512.

2609 conjugacy classes of subgroups.

The subgroup lattice has 1462 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2725C211yesmaximal, characteristic
2C2×#2721C211yesmaximal, characteristic
3C2×#2719C211yesmaximal, characteristic, complemented
4C2×#2453C211yesmaximal, characteristic, complemented
5C2×#2469C211yesmaximal, characteristic
6C2×#2462C211yesmaximal, characteristic, complemented
7#15856C211yesmaximal, characteristic, complemented
8#15825C211yesmaximal, characteristic
9#15808C211yesmaximal, characteristic
10#15808C211yesmaximal, characteristic
11#15808C211yesmaximal, characteristic
12#15804C211yesmaximal, characteristic, complemented
13#15804C211yesmaximal, characteristic, complemented
14#15804C211yesmaximal, characteristic, complemented
15#15804C211yesmaximal, characteristic, complemented
16#15804C211yesmaximal, characteristic, complemented
17#15765C211yesmaximal, characteristic
18#15765C211yesmaximal, characteristic
19#15173C211yesmaximal, characteristic, complemented
20#15153C211yesmaximal, characteristic, complemented
21#15065C211yesmaximal, characteristic
22#15020C211yesmaximal, characteristic
23#14870C211yesmaximal, characteristic
24#14870C211yesmaximal, characteristic
25#14231C211yesmaximal, characteristic
26#14231C211yesmaximal, characteristic
27#14049C211yesmaximal, characteristic, complemented
28#14049C211yesmaximal, characteristic, complemented
29#13954C211yesmaximal, characteristic, complemented
30#13910C211yesmaximal, characteristic, complemented
31#13825C211yesmaximal, characteristic, complemented
32C22×#126C2211yescharacteristic
33C22×#125C2211yescharacteristic
34C22×#125C2211yescharacteristic
35C22×C4×Q8C2211yescharacteristic
36#2725—28no—
37#2721—28no—
38#2719—28no—
39#2469—28no—
40#2462—28no—
41#2453—28no—
42C2×#400C2211yescharacteristic
43C2×#400C2211yescharacteristic
44C2×#400C2211yescharacteristic
45C2×#400C2211yescharacteristic
46C2×#400C2211yescharacteristic
47C2×#400C2211yescharacteristic
48C2×#400C2211yescharacteristic
49C2×#399C2211yescharacteristic
50C2×#399C2211yescharacteristic
51C2×#399C2211yescharacteristic
52C2×#399C2211yescharacteristic
53C2×#398C2211yescharacteristic
54C2×#398C2211yescharacteristic
55C2×#398C2211yescharacteristic
56C2×#398C2211yescharacteristic
57C2×#398C2211yescharacteristic
58C2×#398C2211yescharacteristic
59C2×#398C2211yescharacteristic
60C2×#398C2211yescharacteristic
61C2×#398C2211yescharacteristic
62C2×#398C2211yescharacteristic
63C2×#397C2211yescharacteristic
64C2×#397C2211yescharacteristic
65C2×#396C2211yescharacteristic
66C2×#396C2211yescharacteristic
67C2×#396C2211yescharacteristic
68C2×#396C2211yescharacteristic
69C2×#396C2211yescharacteristic
70C2×#395C2211yescharacteristic
71C2×#395C2211yescharacteristic
72C2×#395C2211yescharacteristic
73C2×#393C2211yescharacteristic
74C2×#391C2211yescharacteristic
75C2×#391C2211yescharacteristic
76C2×#389C2211yescharacteristic
77C2×#389C2211yescharacteristic
78C2×#389C2211yescharacteristic
79C2×#389C2211yescharacteristic
80C2×#389C2211yescharacteristic
81C2×#389C2211yescharacteristic
82C2×#389C2211yescharacteristic
83C2×#389C2211yescharacteristic
84C2×#389C2211yescharacteristic
85C2×#389C2211yescharacteristic
86C2×#389C2211yescharacteristic
87C2×#389C2211yescharacteristic
88C2×#389C2211yescharacteristic
89C2×#388C2211yescharacteristic
90C2×#388C2211yescharacteristic
91C2×#388C2211yescharacteristic
92C2×#388C2211yescharacteristic
93C2×#388C2211yescharacteristic
94C2×#388C2211yescharacteristic
95C2×#388C2211yescharacteristic
96C2×#388C2211yescharacteristic
97C2×#387C2211yescharacteristic
98C2×#387C2211yescharacteristic
99C2×#387C2211yescharacteristic
100C2×#387C2211yescharacteristic
101C2×#387C2211yescharacteristic
102C2×#387C2211yescharacteristic
103C2×#387C2211yescharacteristic
104C2×#387C2211yescharacteristic
105C2×#387C2211yescharacteristic
106C2×#387C2211yescharacteristic
107C2×#387C2211yescharacteristic
108C2×#387C2211yescharacteristic
109C2×#387C2211yescharacteristic
110C2×#387C2211yescharacteristic
111C2×#387C2211yescharacteristic
112C2×#387C2211yescharacteristic
113C2×#387C2211yescharacteristic
114C2×#384C2211yescharacteristic
115C2×#384C2211yescharacteristic
116C2×#384C2211yescharacteristic
117C2×#382C2211yescharacteristic
118C2×C4×C4⋊C4C2211yescharacteristic
119C2×C4×C4⋊C4C2211yescharacteristic
120C2×C4×C4⋊C4C2211yescharacteristic
121C2×C4×C4⋊C4C2211yescharacteristic
122C2×C4×C4⋊C4C2211yescharacteristic
123#1445C2211yescharacteristic
124#1445C2211yescharacteristic
125#1445C2211yescharacteristic
126#1445C2211yescharacteristic
127#1445C2211yescharacteristic
128#1445C2211yescharacteristic
129#1445C2211yescharacteristic
130#1445C2211yescharacteristic
131#1445C2211yescharacteristic
132#1445C2211yescharacteristic
133#1445C2211yescharacteristic
134#1445C2211yescharacteristic
135#1445C2211yescharacteristic
136#1445C2211yescharacteristic
137#1445C2211yescharacteristic
138#1445C2211yescharacteristic
139#1445C2211yescharacteristic
140#1445C2211yescharacteristic
141#1444C2211yescharacteristic
142#1444C2211yescharacteristic
143#1444C2211yescharacteristic
144#1444C2211yescharacteristic
145#1444C2211yescharacteristic
146#1444C2211yescharacteristic
147#1444C2211yescharacteristic
148#1444C2211yescharacteristic
149#1444C2211yescharacteristic
150#1444C2211yescharacteristic
151#1444C2211yescharacteristic
152#1444C2211yescharacteristic
153#1439C2211yescharacteristic
154#1439C2211yescharacteristic
155#1439C2211yescharacteristic
156#1439C2211yescharacteristic
157#1439C2211yescharacteristic
158#1439C2211yescharacteristic
159#1439C2211yescharacteristic
160#1439C2211yescharacteristic
161#1437C2211yescharacteristic
162#1437C2211yescharacteristic
163#1437C2211yescharacteristic
164#1437C2211yescharacteristic
165#1437C2211yescharacteristic
166#1437C2211yescharacteristic
167#1436C2211yescharacteristic
168#1436C2211yescharacteristic
169#1436C2211yescharacteristic
170#1436C2211yescharacteristic
171#1436C2211yescharacteristic
172#1436C2211yescharacteristic
173C4⋊#95C2211yescharacteristic
174C4⋊#95C2211yescharacteristic
175C4⋊#95C2211yescharacteristic
176C4⋊#95C2211yescharacteristic
177C4⋊#95C2211yescharacteristic
178C4⋊#95C2211yescharacteristic
179C4⋊#95C2211yescharacteristic
180C4⋊#95C2211yescharacteristic
181C4⋊#95C2211yescharacteristic
182C4⋊#95C2211yescharacteristic
183C4⋊#95C2211yescharacteristic
184C4⋊#95C2211yescharacteristic
185C4⋊#95C2211yescharacteristic
186C4⋊#95C2211yescharacteristic
187C4⋊#95C2211yescharacteristic
188C4⋊#95C2211yescharacteristic
189C4×#95C2211yescharacteristic
190C4×#95C2211yescharacteristic
191C4×#95C2211yescharacteristic
192C4×#95C2211yescharacteristic
193C23×Q8C2311yescharacteristic
194C2×#126—24no—
195C2×#126—24no—
196C2×#126—24no—
197C2×#125—24no—
198C2×#125—24no—
199C2×#125—24no—
200C2×#125—24no—
201C2×#125—24no—
202C2×#125—24no—
203C2×C4×Q8—24no—
204C2×C4×Q8—24no—
205C2×C4×Q8—24no—
206C22×C4⋊C4C2311yescharacteristic
207C22×C4⋊C4C2311yescharacteristic
208C22×C4⋊C4C2311yescharacteristic
209C22×C4⋊C4C2311yescharacteristic
210C22×C4⋊C4C2311yescharacteristic
211C22×C4⋊C4C2311yescharacteristic
212C22×C4⋊C4C2311yescharacteristic
213C22×C4⋊C4C2311yescharacteristic
214C22×C4⋊C4C2311yescharacteristic
215C22×C4⋊C4C2311yescharacteristic
216C22×C4⋊C4C2311yescharacteristic
217C22×C4⋊C4C2311yescharacteristic
218C22×C4⋊C4C2311yescharacteristic
219C22×C4⋊C4C2311yescharacteristic
220C22×C4⋊C4C2311yescharacteristic
221C22×C4⋊C4C2311yescharacteristic
222C22×C4⋊C4C2311yescharacteristic
223C22×C4⋊C4C2311yescharacteristic
224C22×C4⋊C4C2311yescharacteristic
225C22×C4⋊C4C2311yescharacteristic
226C22×C4⋊C4C2311yescharacteristic
227C22×C4⋊C4C2311yescharacteristic
228C22×C4⋊C4C2311yescharacteristic
229C22×C4⋊C4C2311yescharacteristic
230C22×C4⋊C4C2311yescharacteristic
231C22×C4⋊C4C2311yescharacteristic
232C22×C4⋊C4C2311yescharacteristic
233C22×C4⋊C4C2311yescharacteristic
234C22×C4⋊C4C2311yescharacteristic
235C22×C4⋊C4C2311yescharacteristic
236C22×C4⋊C4C2311yescharacteristic
237C22×C4⋊C4C2311yescharacteristic
238C22×C4⋊C4C2311yescharacteristic
239C22×C4⋊C4C2311yescharacteristic
240C22×C4⋊C4C2311yescharacteristic
241C22×C4⋊C4C2311yescharacteristic
242C22×C4⋊C4C2311yescharacteristic
243C22×C4⋊C4C2311yescharacteristic
244C22×C4⋊C4C2311yescharacteristic
245C22×C4⋊C4C2311yescharacteristic
246C22×C4⋊C4C2311yescharacteristic
247C22×C4⋊C4C2311yescharacteristic
248C22×C4⋊C4C2311yescharacteristic
249C22×C4⋊C4C2311yescharacteristic
250C22×C4⋊C4C2311yescharacteristic
251C22×C4⋊C4C2311yescharacteristic
252C22×C4⋊C4C2311yescharacteristic
253C22×C4⋊C4C2311yescharacteristic
254C22×C22⋊C4C2311yescharacteristic
255C22×C22⋊C4C2311yescharacteristic
256C22×C22⋊C4C2311yescharacteristic
257C22×C22⋊C4C2311yescharacteristic
258C22×C22⋊C4C2311yescharacteristic
259C22×C22⋊C4C2311yescharacteristic
260C22×C22⋊C4C2311yescharacteristic
261C22×C22⋊C4C2311yescharacteristic
262C22×C22⋊C4C2311yescharacteristic
263C22×C22⋊C4C2311yescharacteristic
264C22×C22⋊C4C2311yescharacteristic
265C22×C22⋊C4C2311yescharacteristic
266C22×C22⋊C4C2311yescharacteristic
267C22×C22⋊C4C2311yescharacteristic
268C22×C22⋊C4C2311yescharacteristic
269C22×C42C2311yescharacteristic
270C22×C42C2311yescharacteristic
271C22×C42C2311yescharacteristic
272C22×C42C2311yescharacteristic
273C22×C42C2311yescharacteristic
274C22×C42C2311yescharacteristic
275C22×C42C2311yescharacteristic
276C22×C42C2311yescharacteristic
277C22×C42C2311yescharacteristic
278C22×C42C2311yescharacteristic
279C22×C42C2311yescharacteristic
280C22×C42C2311yescharacteristic
281C22×C42C2311yescharacteristic
282C22×C42C2311yescharacteristic
283C22×C42C2311yescharacteristic
284#400—24no—
285#400—24no—
286#400—24no—
287#400—24no—
288#400—24no—
289#400—24no—
290#400—24no—
291#399—24no—
292#399—24no—
293#399—24no—
294#399—24no—
295#398—24no—
296#398—24no—
297#398—24no—
298#398—24no—
299#398—24no—
300#398—24no—
301#398—24no—
302#398—24no—
303#398—24no—
304#398—24no—
305#397—24no—
306#397—24no—
307#396—24no—
308#396—24no—
309#396—24no—
310#396—24no—
311#396—24no—
312#395—24no—
313#395—24no—
314#395—24no—
315#393—24no—
316#391—24no—
317#391—24no—
318#389—24no—
319#389—24no—
320#389—24no—
321#389—24no—
322#389—24no—
323#389—24no—
324#389—24no—
325#389—24no—
326#389—24no—
327#389—24no—
328#389—24no—
329#389—24no—
330#389D418yes—
331#388—24no—
332#388—24no—
333#388—24no—
334#388—24no—
335#388—24no—
336#388—24no—
337#388—24no—
338#388—24no—
339#387—24no—
340#387—24no—
341#387—24no—
342#387—24no—
343#387—24no—
344#387—24no—
345#387—24no—
346#387—24no—
347#387—24no—
348#387—24no—
349#387—24no—
350#387—24no—
351#387—24no—
352#387—24no—
353#387—24no—
354#387D418yes—
355#387D418yes—
356#384—24no—
357#384—24no—
358#384—24no—
359#382—24no—
360C4×C4⋊C4—24no—
361C4×C4⋊C4—24no—
362C4×C4⋊C4—24no—
363C4×C4⋊C4—24no—
364C4×C4⋊C4—24no—
365C2×#95C2311yescharacteristic
366C2×#95C2311yescharacteristic
367C2×#95C2311yescharacteristic
368C2×#95C2311yescharacteristic
369C2×#95C2311yescharacteristic
370C2×#95C2311yescharacteristic
371C2×#95C2311yescharacteristic
372C2×#95C2311yescharacteristic
373C2×#95C2311yescharacteristic
374C2×#95C2311yescharacteristic
375C2×#95C2311yescharacteristic
376C2×#95C2311yescharacteristic
377C2×#95C2311yescharacteristic
378C2×#95C2311yescharacteristic
379C2×#95C2311yescharacteristic
380C2×#95C2311yescharacteristic
381C2×#95C2311yescharacteristic
382C2×#95C2311yescharacteristic
383C2×#95C2311yescharacteristic
384C2×#95C2311yescharacteristic
385C2×#95C2311yescharacteristic
386C2×#95C2311yescharacteristic
387C2×#95C2311yescharacteristic
388C2×#95C2311yescharacteristic
389C2×#95C2311yescharacteristic
390C2×#95C2311yescharacteristic
391C2×#95C2311yescharacteristic
392C2×#95C2311yescharacteristic
393C2×#95C2311yescharacteristic
394C2×#95C2311yescharacteristic
395C2×#95C2311yescharacteristic
396C2×#95C2311yescharacteristic
397C2×#95C2311yescharacteristic
398C2×#95C2311yescharacteristic
399C2×#95C2311yescharacteristic
400C2×#95C2311yescharacteristic
401C2×#95C2311yescharacteristic
402C2×#95C2311yescharacteristic
403C2×#95C2311yescharacteristic
404C2×#95C2311yescharacteristic
405C2×#95C2311yescharacteristic
406C2×#95C2311yescharacteristic
407C2×#95C2311yescharacteristic
408C2×#95C2311yescharacteristic
409C2×#95C2311yescharacteristic
410C2×#95C2311yescharacteristic
411C2×#95C2311yescharacteristic
412C2×#95C2311yescharacteristic
413C2×#95C2311yescharacteristic
414C2×#95C2311yescharacteristic
415C2×#95C2311yescharacteristic
416C2×#95C2311yescharacteristic
417C2×#95C2311yescharacteristic
418C2×#95C2311yescharacteristic
419C2×#95C2311yescharacteristic
420C2×#95C2311yescharacteristic
421C2×#95C2311yescharacteristic
422C2×#95C2311yescharacteristic
423C2×#95C2311yescharacteristic
424C2×#95C2311yescharacteristic
425C2×#95C2311yescharacteristic
426C2×#95C2311yescharacteristic
427C2×#95C2311yescharacteristic
428C2×#95C2311yescharacteristic
429C2×#95C2311yescharacteristic
430C2×#95C2311yescharacteristic
431C2×#95C2311yescharacteristic
432C2×#95C2311yescharacteristic
433C2×#95C2311yescharacteristic
434C2×#95C2311yescharacteristic
435C2×#95C2311yescharacteristic
436C2×#95C2311yescharacteristic
437C2×#95C2311yescharacteristic
438C2×#95C2311yescharacteristic
439C2×#95C2311yescharacteristic
440C2×#95C2311yescharacteristic
441C25C2411yescharacteristic
442C22×Q8—22no—
443C22×Q8—22no—
444C22×Q8—22no—
445C22×Q8—22no—
446C22×Q8—22no—
447C22×Q8—41no—
448C22×Q8—41no—
449C23×C4C2411yescharacteristic
450C23×C4C2411yescharacteristic
451C23×C4C2411yescharacteristic
452C23×C4C2411yescharacteristic
453C23×C4C2411yescharacteristic
454C23×C4C2411yescharacteristic
455C23×C4C2411yescharacteristic
456C23×C4C2411yescharacteristic
457C23×C4C2411yescharacteristic
458C23×C4C2411yescharacteristic
459C23×C4C2411yescharacteristic
460C23×C4C2411yescharacteristic
461C23×C4C2411yescharacteristic
462C23×C4C2411yescharacteristic
463C23×C4C2411yescharacteristic
464C23×C4C2411yescharacteristic
465C23×C4C2411yescharacteristic
466C23×C4C2411yescharacteristic
467C23×C4C2411yescharacteristic
468C23×C4C2411yescharacteristic
469C23×C4C2411yescharacteristic
470C23×C4C2411yescharacteristic
471C23×C4C2411yescharacteristic
472C23×C4C2411yescharacteristic
473C23×C4C2411yescharacteristic
474C23×C4C2411yescharacteristic
475C23×C4C2411yescharacteristic
476C23×C4C2411yescharacteristic
477C23×C4C2411yescharacteristic
478C23×C4C2411yescharacteristic
479#126—416no—
480#125—416no—
481#125—416no—
482C4×Q8—416no—
483C2×C4⋊C4—22no—
484C2×C4⋊C4—22no—
485C2×C4⋊C4—22no—
486C2×C4⋊C4—22no—
487C2×C4⋊C4—22no—
488C2×C4⋊C4—22no—
489C2×C4⋊C4—22no—
490C2×C4⋊C4—22no—
491C2×C4⋊C4—22no—
492C2×C4⋊C4—22no—
493C2×C4⋊C4—22no—
494C2×C4⋊C4—22no—
495C2×C4⋊C4—22no—
496C2×C4⋊C4—22no—
497C2×C4⋊C4—22no—
498C2×C4⋊C4—22no—
499C2×C4⋊C4—22no—
500C2×C4⋊C4—22no—
501C2×C4⋊C4—22no—
502C2×C4⋊C4—22no—
503C2×C4⋊C4—22no—
504C2×C4⋊C4—22no—
505C2×C4⋊C4—22no—
506C2×C4⋊C4—22no—
507C2×C4⋊C4—22no—
508C2×C4⋊C4—22no—
509C2×C4⋊C4—22no—
510C2×C4⋊C4—22no—
511C2×C4⋊C4—22no—
512C2×C4⋊C4—22no—
513C2×C4⋊C4—22no—
514C2×C4⋊C4—22no—
515C2×C4⋊C4—22no—
516C2×C4⋊C4—22no—
517C2×C4⋊C4—22no—
518C2×C4⋊C4—22no—
519C2×C4⋊C4—22no—
520C2×C4⋊C4—22no—
521C2×C4⋊C4—22no—
522C2×C4⋊C4—22no—
523C2×C4⋊C4—22no—
524C2×C4⋊C4—22no—
525C2×C4⋊C4—22no—
526C2×C4⋊C4—22no—
527C2×C4⋊C4—22no—
528C2×C4⋊C4—22no—
529C2×C4⋊C4—22no—
530C2×C4⋊C4—22no—
531C2×C4⋊C4—22no—
532C2×C4⋊C4—22no—
533C2×C4⋊C4—22no—
534C2×C4⋊C4—22no—
535C2×C4⋊C4—22no—
536C2×C4⋊C4—22no—
537C2×C4⋊C4—22no—
538C2×C4⋊C4—22no—
539C2×C4⋊C4—22no—
540C2×C4⋊C4—22no—
541C2×C4⋊C4—22no—
542C2×C4⋊C4—22no—
543C2×C4⋊C4—22no—
544C2×C4⋊C4—22no—
545C2×C4⋊C4—22no—
546C2×C4⋊C4—22no—
547C2×C4⋊C4—22no—
548C2×C4⋊C4—22no—
549C2×C4⋊C4—22no—
550C2×C4⋊C4—22no—
551C2×C4⋊C4—22no—
552C2×C4⋊C4—22no—
553C2×C4⋊C4—22no—
554C2×C4⋊C4—22no—
555C2×C4⋊C4—22no—
556C2×C4⋊C4—22no—
557C2×C4⋊C4—22no—
558C2×C4⋊C4—22no—
559C2×C4⋊C4—22no—
560C2×C4⋊C4—22no—
561C2×C4⋊C4—22no—
562C2×C4⋊C4—22no—
563C2×C4⋊C4—22no—
564C2×C4⋊C4—22no—
565C2×C4⋊C4—22no—
566C2×C4⋊C4—22no—
567C2×C4⋊C4—22no—
568C2×C4⋊C4—22no—
569C2×C4⋊C4—22no—
570C2×C4⋊C4—22no—
571C2×C4⋊C4—22no—
572C2×C4⋊C4—22no—
573C2×C4⋊C4—22no—
574C2×C4⋊C4—22no—
575C2×C4⋊C4—22no—
576C2×C4⋊C4—22no—
577C2×C4⋊C4—22no—
578C2×C4⋊C4—22no—
579C2×C4⋊C4—22no—
580C2×C4⋊C4—22no—
581C2×C4⋊C4—22no—
582C2×C4⋊C4—22no—
583C2×C4⋊C4—22no—
584C2×C4⋊C4—22no—
585C2×C4⋊C4—22no—
586C2×C4⋊C4—22no—
587C2×C4⋊C4—22no—
588C2×C4⋊C4—41no—
589C2×C4⋊C4—41no—
590C2×C4⋊C4—41no—
591C2×C4⋊C4—41no—
592C2×C4⋊C4—41no—
593C2×C4⋊C4—41no—
594C2×C4⋊C4—41no—
595C2×C4⋊C4—41no—
596C2×C4⋊C4—41no—
597C2×C4⋊C4—41no—
598C2×C4⋊C4—41no—
599C2×C4⋊C4—41no—
600C2×C4⋊C4—41no—
601C2×C4⋊C4—41no—
602C2×C4⋊C4—41no—
603C2×C4⋊C4—41no—
604C2×C4⋊C4—41no—
605C2×C4⋊C4—41no—
606C2×C4⋊C4—41no—
607C2×C4⋊C4—41no—
608C2×C4⋊C4—41no—
609C2×C4⋊C4—41no—
610C2×C4⋊C4—41no—
611C2×C4⋊C4—41no—
612C2×C4⋊C4—41no—
613C2×C4⋊C4—41no—
614C2×C4⋊C4—41no—
615C2×C4⋊C4—41no—
616C2×C4⋊C4—41no—
617C2×C4⋊C4—41no—
618C2×C4⋊C4C2×D414yes—
619C2×C4⋊C4C2×D414yes—
620C2×C4⋊C4C2×D414yes—
621C2×C4⋊C4C2×D414yes—
622C2×C4⋊C4C2×D414yes—
623C2×C4⋊C4C2×D414yes—
624C2×C4⋊C4C2×D414yes—
625C2×C4⋊C4C2×D414yes—
626C2×C4⋊C4#4114yes—
627C2×C22⋊C4—22no—
628C2×C22⋊C4—22no—
629C2×C22⋊C4—22no—
630C2×C22⋊C4—22no—
631C2×C22⋊C4—22no—
632C2×C22⋊C4—22no—
633C2×C22⋊C4—22no—
634C2×C22⋊C4—22no—
635C2×C22⋊C4—22no—
636C2×C22⋊C4—22no—
637C2×C22⋊C4—22no—
638C2×C22⋊C4—22no—
639C2×C22⋊C4—22no—
640C2×C22⋊C4—22no—
641C2×C22⋊C4—22no—
642C2×C22⋊C4—22no—
643C2×C22⋊C4—22no—
644C2×C22⋊C4—22no—
645C2×C22⋊C4—22no—
646C2×C22⋊C4—22no—
647C2×C22⋊C4—22no—
648C2×C22⋊C4—22no—
649C2×C22⋊C4—22no—
650C2×C22⋊C4—22no—
651C2×C22⋊C4—22no—
652C2×C22⋊C4—22no—
653C2×C22⋊C4—22no—
654C2×C22⋊C4—22no—
655C2×C22⋊C4—22no—
656C2×C22⋊C4—22no—
657C2×C22⋊C4—22no—
658C2×C22⋊C4—22no—
659C2×C22⋊C4—22no—
660C2×C22⋊C4—41no—
661C2×C22⋊C4—41no—
662C2×C22⋊C4—41no—
663C2×C22⋊C4—41no—
664C2×C22⋊C4—41no—
665C2×C22⋊C4—41no—
666C2×C22⋊C4—41no—
667C2×C22⋊C4—41no—
668C2×C22⋊C4—41no—
669C2×C22⋊C4—41no—
670C2×C22⋊C4—41no—
671C2×C22⋊C4—41no—
672C2×C42—22no—
673C2×C42—22no—
674C2×C42—22no—
675C2×C42—22no—
676C2×C42—22no—
677C2×C42—22no—
678C2×C42—22no—
679C2×C42—22no—
680C2×C42—22no—
681C2×C42—22no—
682C2×C42—22no—
683C2×C42—22no—
684C2×C42—22no—
685C2×C42—22no—
686C2×C42—22no—
687C2×C42—22no—
688C2×C42—22no—
689C2×C42—22no—
690C2×C42—22no—
691C2×C42—22no—
692C2×C42—22no—
693C2×C42—22no—
694C2×C42—22no—
695C2×C42—22no—
696C2×C42—22no—
697C2×C42—22no—
698C2×C42—22no—
699C2×C42—22no—
700C2×C42—22no—
701C2×C42—22no—
702C2×C42—41no—
703C2×C42—41no—
704C2×C42—41no—
705C2×C42—41no—
706C2×C42—41no—
707C2×C42—41no—
708C2×C42—41no—
709C2×C42—41no—
710C2×C42—41no—
711C2×C42—41no—
712C2×C42—41no—
713C2×C42—41no—
714C2×C42C2×D414yes—
715C2×C42C2×D414yes—
716C2×C42C2×D414yes—
717#95—22no—
718#95—22no—
719#95—22no—
720#95—22no—
721#95—22no—
722#95—22no—
723#95—22no—
724#95—22no—
725#95—22no—
726#95—22no—
727#95—22no—
728#95—22no—
729#95—22no—
730#95—22no—
731#95—22no—
732#95—22no—
733#95—22no—
734#95—22no—
735#95—22no—
736#95—22no—
737#95—22no—
738#95—22no—
739#95—22no—
740#95—22no—
741#95—22no—
742#95—22no—
743#95—22no—
744#95—22no—
745#95—22no—
746#95—22no—
747#95—22no—
748#95—22no—
749#95—22no—
750#95—22no—
751#95—22no—
752#95—22no—
753#95—22no—
754#95—22no—
755#95—22no—
756#95—22no—
757#95—22no—
758#95—22no—
759#95—22no—
760#95—22no—
761#95—22no—
762#95—22no—
763#95—22no—
764#95—22no—
765#95—22no—
766#95—22no—
767#95—22no—
768#95—22no—
769#95—22no—
770#95—22no—
771#95—22no—
772#95—22no—
773#95—22no—
774#95—22no—
775#95—22no—
776#95—22no—
777#95—22no—
778#95—41no—
779#95—41no—
780#95—41no—
781#95—41no—
782#95C2×D414yes—
783#95C2×D414yes—
784#95C2×D414yes—
785#95C2×D414yes—
786#95C2×D414yes—
787#95C2×D414yes—
788#95C2×D414yes—
789#95C2×D414yes—
790#95C2×D414yes—
791#95C2×D414yes—
792#95#4114yes—
793C24—21no—
794C24—21no—
795C24—21no—
796C24—21no—
797C24—21no—
798C24—21no—
799C24—21no—
800C24—21no—
801C24—21no—
802C24—21no—
803C24—21no—
804C24—21no—
805C24—21no—
806C24—21no—
807C24—21no—
808C24C2511yescharacteristic
809C2×Q8—28no—
810C2×Q8—44no—
811C2×Q8—44no—
812C2×Q8—44no—
813C2×Q8—44no—
814C2×Q8—44no—
815C2×Q8—44no—
816C22×C4—21no—
817C22×C4—21no—
818C22×C4—21no—
819C22×C4—21no—
820C22×C4—21no—
821C22×C4—21no—
822C22×C4—21no—
823C22×C4—21no—
824C22×C4—21no—
825C22×C4—21no—
826C22×C4—21no—
827C22×C4—21no—
828C22×C4—21no—
829C22×C4—21no—
830C22×C4—21no—
831C22×C4—21no—
832C22×C4—21no—
833C22×C4—21no—
834C22×C4—21no—
835C22×C4—21no—
836C22×C4—21no—
837C22×C4—21no—
838C22×C4—21no—
839C22×C4—21no—
840C22×C4—21no—
841C22×C4—21no—
842C22×C4—21no—
843C22×C4—21no—
844C22×C4—21no—
845C22×C4—21no—
846C22×C4—21no—
847C22×C4—21no—
848C22×C4—21no—
849C22×C4—21no—
850C22×C4—21no—
851C22×C4—21no—
852C22×C4—21no—
853C22×C4—21no—
854C22×C4—21no—
855C22×C4—21no—
856C22×C4—21no—
857C22×C4—21no—
858C22×C4—21no—
859C22×C4—21no—
860C22×C4—21no—
861C22×C4—21no—
862C22×C4—21no—
863C22×C4—21no—
864C22×C4—21no—
865C22×C4—21no—
866C22×C4—21no—
867C22×C4—21no—
868C22×C4—21no—
869C22×C4—21no—
870C22×C4—21no—
871C22×C4—21no—
872C22×C4—21no—
873C22×C4—21no—
874C22×C4—21no—
875C22×C4—21no—
876C22×C4—21no—
877C22×C4—21no—
878C22×C4—21no—
879C22×C4—21no—
880C22×C4—21no—
881C22×C4—21no—
882C22×C4—21no—
883C22×C4—21no—
884C22×C4—21no—
885C22×C4—21no—
886C22×C4—21no—
887C22×C4—21no—
888C22×C4—21no—
889C22×C4—21no—
890C22×C4—21no—
891C22×C4—21no—
892C22×C4—21no—
893C22×C4—21no—
894C22×C4—21no—
895C22×C4—21no—
896C22×C4—21no—
897C22×C4—21no—
898C22×C4—21no—
899C22×C4—21no—
900C22×C4—21no—
901C22×C4—21no—
902C22×C4—21no—
903C22×C4—21no—
904C22×C4—21no—
905C22×C4—21no—
906C22×C4—21no—
907C22×C4—21no—
908C22×C4—21no—
909C22×C4—21no—
910C22×C4—21no—
911C22×C4—21no—
912C22×C4—21no—
913C22×C4—21no—
914C22×C4—21no—
915C22×C4—21no—
916C22×C4—21no—
917C22×C4—21no—
918C22×C4—21no—
919C22×C4—21no—
920C22×C4—21no—
921C22×C4—21no—
922C22×C4—21no—
923C22×C4—21no—
924C22×C4—21no—
925C22×C4—21no—
926C22×C4—21no—
927C22×C4—21no—
928C22×C4—21no—
929C22×C4—21no—
930C22×C4—21no—
931C22×C4—21no—
932C22×C4—21no—
933C22×C4—21no—
934C22×C4—21no—
935C22×C4—21no—
936C22×C4—21no—
937C22×C4—21no—
938C22×C4—21no—
939C22×C4—21no—
940C22×C4—21no—
941C22×C4—21no—
942C22×C4—21no—
943C22×C4—21no—
944C22×C4—21no—
945C22×C4—21no—
946C22×C4—21no—
947C22×C4—21no—
948C22×C4—21no—
949C22×C4—21no—
950C22×C4—21no—
951C22×C4—21no—
952C22×C4—21no—
953C22×C4—21no—
954C22×C4—21no—
955C22×C4—21no—
956C22×C4—21no—
957C22×C4—21no—
958C22×C4—21no—
959C22×C4—21no—
960C22×C4—21no—
961C22×C4—21no—
962C22×C4—21no—
963C22×C4—21no—
964C22×C4—21no—
965C22×C4—21no—
966C22×C4—21no—
967C22×C4—21no—
968C22×C4—21no—
969C22×C4—21no—
970C22×C4—21no—
971C22×C4—21no—
972C22×C4—21no—
973C22×C4—21no—
974C22×C4—21no—
975C22×C4—21no—
976C22×C4—21no—
977C22×C4—21no—
978C22×C4—21no—
979C22×C4—21no—
980C22×C4—21no—
981C22×C4—21no—
982C22×C4—21no—
983C22×C4—21no—
984C22×C4—21no—
985C22×C4—21no—
986C22×C4—21no—
987C22×C4—21no—
988C22×C4—21no—
989C22×C4—21no—
990C22×C4—21no—
991C22×C4—21no—
992C22×C4—21no—
993C22×C4C22×D412yes—
994C22×C4C22×D412yes—
995C22×C4C22×D412yes—
996C22×C4C22×D412yes—
997C22×C4C22×D412yes—
998C22×C4C22×D412yes—
999C22×C4C22×D412yes—
1000C22×C4C22×D412yes—
1001C22×C4C22×D412yes—
1002C22×C4C22×D412yes—
1003C22×C4C22×D412yes—
1004C22×C4C22×D412yes—
1005C22×C4C22×D412yes—
1006C22×C4C22×D412yes—
1007C22×C4C22×D412yes—
1008C22×C4C22×D412yes—
1009C22×C4C22×D412yes—
1010C22×C4C22×D412yes—
1011C22×C4C22×D412yes—
1012C22×C4C22×D412yes—
1013C22×C4C22×D412yes—
1014C22×C4C2×#4112yes—
1015C22×C4C2×#4112yes—
1016C22×C4C2×#4112yes—
1017C22×C4C2×#4112yes—
1018C22×C4C2×#4112yes—
1019C22×C4C2×#4112yes—
1020C22×C42−1+412yes—
1021C22×C42−1+412yes—
1022C22×C42−1+412yes—
1023C22×C42−1+412yes—
1024C22×C42−1+412yes—
1025C22×C42−1+412yes—
1026C4⋊C4—28no—
1027C4⋊C4—28no—
1028C4⋊C4—28no—
1029C4⋊C4—28no—
1030C4⋊C4—28no—
1031C4⋊C4—44no—
1032C4⋊C4—44no—
1033C4⋊C4—44no—
1034C4⋊C4—44no—
1035C4⋊C4—44no—
1036C4⋊C4—44no—
1037C4⋊C4—44no—
1038C4⋊C4—44no—
1039C4⋊C4—44no—
1040C4⋊C4—44no—
1041C4⋊C4—44no—
1042C4⋊C4—44no—
1043C4⋊C4—44no—
1044C4⋊C4—44no—
1045C4⋊C4—44no—
1046C4⋊C4—44no—
1047C4⋊C4—44no—
1048C4⋊C4—44no—
1049C4⋊C4—44no—
1050C4⋊C4—44no—
1051C4⋊C4—44no—
1052C4⋊C4—44no—
1053C4⋊C4—44no—
1054C4⋊C4—44no—
1055C4⋊C4—44no—
1056C4⋊C4—44no—
1057C4⋊C4—44no—
1058C4⋊C4—44no—
1059C4⋊C4—44no—
1060C4⋊C4—44no—
1061C4⋊C4—44no—
1062C4⋊C4—44no—
1063C4⋊C4—44no—
1064C4⋊C4—44no—
1065C4⋊C4—44no—
1066C4⋊C4—44no—
1067C4⋊C4—82no—
1068C4⋊C4—82no—
1069C4⋊C4—82no—
1070C4⋊C4—82no—
1071C4⋊C4—82no—
1072C4⋊C4—82no—
1073C4⋊C4#127116yes—
1074C22⋊C4—44no—
1075C22⋊C4—44no—
1076C22⋊C4—44no—
1077C22⋊C4—44no—
1078C22⋊C4—44no—
1079C22⋊C4—44no—
1080C22⋊C4—44no—
1081C22⋊C4—44no—
1082C22⋊C4—44no—
1083C22⋊C4—44no—
1084C22⋊C4—44no—
1085C22⋊C4—82no—
1086C22⋊C4—82no—
1087C22⋊C4—82no—
1088C22⋊C4—82no—
1089C42—28no—
1090C42—28no—
1091C42—44no—
1092C42—44no—
1093C42—44no—
1094C42—44no—
1095C42—44no—
1096C42—44no—
1097C42—44no—
1098C42—44no—
1099C42—44no—
1100C42—82no—
1101C42—82no—
1102C42—82no—
1103C42—82no—
1104C23—41no—
1105C23—41no—
1106C23—41no—
1107C23—41no—
1108C23—41no—
1109C23—41no—
1110C23—41no—
1111C23—41no—
1112C23—41no—
1113C23—41no—
1114C23—41no—
1115C23—41no—
1116C23—41no—
1117C23—41no—
1118C23—41no—
1119C23—41no—
1120C23—41no—
1121C23—41no—
1122C23—41no—
1123C23—41no—
1124C23—41no—
1125C23—41no—
1126C23—41no—
1127C23—41no—
1128C23—41no—
1129C23—41no—
1130C23—41no—
1131C23—41no—
1132C23—41no—
1133C23—41no—
1134C23—41no—
1135C23—41no—
1136C23—41no—
1137C23—41no—
1138C23—41no—
1139C23C23×D411yescharacteristic
1140C23C23×D411yescharacteristic
1141C23C23×D411yescharacteristic
1142C23C22×#4111yescharacteristic
1143C23C22×#4111yescharacteristic
1144C23C2×2−1+411yescharacteristic
1145C23C2×2−1+411yescharacteristic
1146C23C2×2−1+411yescharacteristic
1147C23C2×2−1+411yescharacteristic
1148C23C2×2−1+411yescharacteristic
1149C23C2×2−1+411yescharacteristic
1150C23#58511yescharacteristic
1151C23#58511yescharacteristic
1152C23#58511yescharacteristic
1153C23#58511yescharacteristic
1154Q8—416no—
1155C2×C4—22no—
1156C2×C4—22no—
1157C2×C4—22no—
1158C2×C4—22no—
1159C2×C4—22no—
1160C2×C4—22no—
1161C2×C4—22no—
1162C2×C4—22no—
1163C2×C4—22no—
1164C2×C4—22no—
1165C2×C4—22no—
1166C2×C4—22no—
1167C2×C4—22no—
1168C2×C4—22no—
1169C2×C4—22no—
1170C2×C4—22no—
1171C2×C4—22no—
1172C2×C4—22no—
1173C2×C4—22no—
1174C2×C4—22no—
1175C2×C4—22no—
1176C2×C4—22no—
1177C2×C4—22no—
1178C2×C4—22no—
1179C2×C4—22no—
1180C2×C4—22no—
1181C2×C4—22no—
1182C2×C4—22no—
1183C2×C4—22no—
1184C2×C4—22no—
1185C2×C4—22no—
1186C2×C4—22no—
1187C2×C4—22no—
1188C2×C4—22no—
1189C2×C4—22no—
1190C2×C4—22no—
1191C2×C4—22no—
1192C2×C4—22no—
1193C2×C4—22no—
1194C2×C4—22no—
1195C2×C4—22no—
1196C2×C4—22no—
1197C2×C4—22no—
1198C2×C4—22no—
1199C2×C4—22no—
1200C2×C4—22no—
1201C2×C4—22no—
1202C2×C4—22no—
1203C2×C4—22no—
1204C2×C4—22no—
1205C2×C4—22no—
1206C2×C4—22no—
1207C2×C4—22no—
1208C2×C4—22no—
1209C2×C4—22no—
1210C2×C4—22no—
1211C2×C4—22no—
1212C2×C4—22no—
1213C2×C4—22no—
1214C2×C4—22no—
1215C2×C4—22no—
1216C2×C4—22no—
1217C2×C4—22no—
1218C2×C4—22no—
1219C2×C4—22no—
1220C2×C4—22no—
1221C2×C4—22no—
1222C2×C4—22no—
1223C2×C4—22no—
1224C2×C4—22no—
1225C2×C4—22no—
1226C2×C4—22no—
1227C2×C4—22no—
1228C2×C4—22no—
1229C2×C4—22no—
1230C2×C4—22no—
1231C2×C4—22no—
1232C2×C4—22no—
1233C2×C4—41no—
1234C2×C4—41no—
1235C2×C4—41no—
1236C2×C4—41no—
1237C2×C4—41no—
1238C2×C4—41no—
1239C2×C4—41no—
1240C2×C4—41no—
1241C2×C4—41no—
1242C2×C4—41no—
1243C2×C4—41no—
1244C2×C4—41no—
1245C2×C4—41no—
1246C2×C4—41no—
1247C2×C4—41no—
1248C2×C4—41no—
1249C2×C4—41no—
1250C2×C4—41no—
1251C2×C4—41no—
1252C2×C4—41no—
1253C2×C4—41no—
1254C2×C4—41no—
1255C2×C4—41no—
1256C2×C4—41no—
1257C2×C4—41no—
1258C2×C4—41no—
1259C2×C4—41no—
1260C2×C4—41no—
1261C2×C4—41no—
1262C2×C4—41no—
1263C2×C4—41no—
1264C2×C4—41no—
1265C2×C4—41no—
1266C2×C4—41no—
1267C2×C4—41no—
1268C2×C4—41no—
1269C2×C4—41no—
1270C2×C4—41no—
1271C2×C4—41no—
1272C2×C4—41no—
1273C2×C4—41no—
1274C2×C4—41no—
1275C2×C4—41no—
1276C2×C4—41no—
1277C2×C4—41no—
1278C2×C4—41no—
1279C2×C4—41no—
1280C2×C4—41no—
1281C2×C4—41no—
1282C2×C4—41no—
1283C2×C4—41no—
1284C2×C4—41no—
1285C2×C4—41no—
1286C2×C4—41no—
1287C2×C4—41no—
1288C2×C4—41no—
1289C2×C4—41no—
1290C2×C4—41no—
1291C2×C4—41no—
1292C2×C4—41no—
1293C2×C4—41no—
1294C2×C4—41no—
1295C2×C4—41no—
1296C2×C4—41no—
1297C2×C4—41no—
1298C2×C4—41no—
1299C2×C4—41no—
1300C2×C4—41no—
1301C2×C4—41no—
1302C2×C4—41no—
1303C2×C4—41no—
1304C2×C4—41no—
1305C2×C4—41no—
1306C2×C4—41no—
1307C2×C4—41no—
1308C2×C4—41no—
1309C2×C4—41no—
1310C2×C4—41no—
1311C2×C4—41no—
1312C2×C4—41no—
1313C2×C4—41no—
1314C2×C4—41no—
1315C2×C4—41no—
1316C2×C4—41no—
1317C2×C4—41no—
1318C2×C4—41no—
1319C2×C4—41no—
1320C2×C4—41no—
1321C2×C4—41no—
1322C2×C4—41no—
1323C2×C4—41no—
1324C2×C4—41no—
1325C2×C4—41no—
1326C2×C4—41no—
1327C2×C4—41no—
1328C2×C4—41no—
1329C2×C4—41no—
1330C2×C4—41no—
1331C2×C4—41no—
1332C2×C4—41no—
1333C2×C4—41no—
1334C2×C4—41no—
1335C2×C4—41no—
1336C2×C4—41no—
1337C2×C4—41no—
1338C2×C4—41no—
1339C2×C4—41no—
1340C2×C4—41no—
1341C2×C4—41no—
1342C2×C4—41no—
1343C2×C4—41no—
1344C2×C4—41no—
1345C2×C4—41no—
1346C2×C4—41no—
1347C2×C4—41no—
1348C2×C4—41no—
1349C2×C4—41no—
1350C2×C4—41no—
1351C2×C4—41no—
1352C2×C4—41no—
1353C2×C4—41no—
1354C2×C4—41no—
1355C2×C4—41no—
1356C2×C4—41no—
1357C2×C4—41no—
1358C2×C4C2×#12714yes—
1359C2×C4C2×#12714yes—
1360C2×C4C2×#12714yes—
1361C2×C4#54714yes—
1362C2×C4#54714yes—
1363C2×C4#54714yes—
1364C2×C4#54814yes—
1365C22—81no—
1366C22—81no—
1367C22—81no—
1368C22—81no—
1369C22—81no—
1370C22—81no—
1371C22—81no—
1372C22—81no—
1373C22—81no—
1374C22—81no—
1375C22—81no—
1376C22—81no—
1377C22—81no—
1378C22—81no—
1379C22—81no—
1380C22C22×#12711yescharacteristic
1381C22C2×#54711yescharacteristic
1382C22C2×#54711yescharacteristic
1383C22C2×#54711yescharacteristic
1384C22C2×#54811yescharacteristic
1385C22D4×#4111yescharacteristic
1386C22D4×#4111yescharacteristic
1387C22#347511yescharacteristic
1388C22#348511yescharacteristic
1389C22#348611yescharacteristic
1390C22#348911yescharacteristic
1391C22#348911yescharacteristic
1392C22#348911yescharacteristic
1393C22#348911yescharacteristic
1394C22#349711yescharacteristic
1395C22#349711yescharacteristic
1396C22#349911yescharacteristic
1397C22#349911yescharacteristic
1398C22#349911yescharacteristic
1399C22#350011yescharacteristic
1400C22#350911yescharacteristic
1401C22#351511yescharacteristic
1402C22#351611yescharacteristic
1403C22#352111yescharacteristic
1404C22#352311yescharacteristic
1405C22#352311yescharacteristic
1406C22#355311yescharacteristic
1407C22#355511yescharacteristic
1408C22#355511yescharacteristic
1409C22#355511yescharacteristic
1410C22#355611yescharacteristic
1411C22#356311yescharacteristic
1412C22#356311yescharacteristic
1413C22#356411yescharacteristic
1414C22#356411yescharacteristic
1415C4—24no—
1416C4—24no—
1417C4—24no—
1418C4—24no—
1419C4—24no—
1420C4—24no—
1421C4—24no—
1422C4—42no—
1423C4—42no—
1424C4—42no—
1425C4—42no—
1426C4—42no—
1427C4—42no—
1428C4—42no—
1429C4—42no—
1430C4—42no—
1431C4—42no—
1432C4—42no—
1433C4—42no—
1434C4—81no—
1435C4—81no—
1436C4—81no—
1437C4—81no—
1438C4—81no—
1439C4—81no—
1440C4—81no—
1441C4—81no—
1442C4—81no—
1443C4—81no—
1444C4—81no—
1445C2—161no—
1446C2#3563411yescharacteristic
1447C2#3617911yescharacteristic
1448C2#3646511yescharacteristic
1449C2#4447511yescharacteristic
1450C2#4477311yescharacteristic
1451C2#4484511yescharacteristic
1452C2#4532411yescharacteristic
1453C2#4532611yescharacteristic
1454C2#4534311yescharacteristic
1455C2#5133111yescharacteristic
1456C2#5133511yescharacteristic
1457C2#5154011yescharacteristic
1458C2#5906311yescharacteristic
1459C2#5910911yescharacteristic
1460C2#5911111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
prime radicalC25C24
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C24 ▷ C1

Complements

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

NH ≅ G/Ntype
3. C2×#2719C2semidirect
4. C2×#2453C2semidirect
6. C2×#2462C2semidirect
7. #15856C2semidirect
12. #15804C2semidirect
13. #15804C2semidirect
14. #15804C2semidirect
15. #15804C2semidirect
16. #15804C2semidirect
19. #15173C2semidirect
20. #15153C2semidirect
27. #14049C2semidirect
28. #14049C2semidirect
29. #13954C2semidirect
30. #13910C2semidirect
31. #13825C2semidirect

Maximal subgroups

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

subgroupindex
C2×#27252
C2×#27212
C2×#27192
C2×#24532
C2×#24692
C2×#24622
#158562
#158252
#158082
#158042
#157652
#151732
#151532
#150652
#150202
#148702
#142312
#140492
#139542
#139102
#138252