Finite Group Databasebeta

← #15870802

Subgroups — #15870802

Order 3328.

884 conjugacy classes of subgroups.

The subgroup lattice has 684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11718362C211yesmaximal, characteristic, complemented
2C4×#88190C211yesmaximal, characteristic
3#13115775C211yesmaximal, characteristic, complemented
4#13115635C211yesmaximal, characteristic
5#13115452C211yesmaximal, characteristic, complemented
6#13115452C211yesmaximal, characteristic, complemented
7#13115445C211yesmaximal, characteristic, complemented
8#13115445C211yesmaximal, characteristic, complemented
9#13114952C211yesmaximal, characteristic, complemented
10#13114617C211yesmaximal, characteristic, complemented
11#13114617C211yesmaximal, characteristic, complemented
12#13114612C211yesmaximal, characteristic, complemented
13C8×C22⋊Dic13C211yesmaximal, characteristic, complemented
14#97×Dic13C211yesmaximal, characteristic, complemented
15C2×C13×#435C211yesmaximal, characteristic
16C22×C13×M16C2211yescharacteristic
17C23×C8×C13C2211yescharacteristic
18C2×C4×D4×C13C2211yescharacteristic
19C2×#88190C411yescharacteristic
20C2×C4×Dic26C2211yescharacteristic
21C13×#435—24no—
22C2×C13×C4⋊C8C2211yescharacteristic
23C2×C13×C22⋊C8C2211yescharacteristic
24C2×C13×C22⋊C8C2211yescharacteristic
25C2×C13×#97C2211yescharacteristic
26#11718882C411yescharacteristic
27C4×C22⋊Dic13C2211yescharacteristic
28C4×C22⋊Dic13C2211yescharacteristic
29C4×C22⋊Dic13C2211yescharacteristic
30C4×C22⋊Dic13C2211yescharacteristic
31C2×C22⋊#1055C2211yescharacteristic
32C2×C22⋊#1055C2211yescharacteristic
33C2×C22⋊#1055C2211yescharacteristic
34C2×C22⋊#1055C2211yescharacteristic
35C2×#88055C2211yescharacteristic
36C2×#88055C2211yescharacteristic
37C2×#88055C2211yescharacteristic
38C2×#88054C2211yescharacteristic
39C2×#88054C2211yescharacteristic
40C2×C8×Dic13C2211yescharacteristic
41C2×C8×Dic13C2211yescharacteristic
42C2×C8×Dic13C2211yescharacteristic
43#11718638C411yescharacteristic
44#11718635C411yescharacteristic
45#11718606C411yescharacteristic
46#11718606C411yescharacteristic
47#11718606C411yescharacteristic
48#11718606C411yescharacteristic
49C42×Dic13C2211yescharacteristic
50C2×C4⋊#1055C2211yescharacteristic
51C2×#88043C2211yescharacteristic
52#11718362—24no—
53#11718142C2211yescharacteristic
54#11718142C2211yescharacteristic
55#11718142C2211yescharacteristic
56#11718142C2211yescharacteristic
57#11718142C2211yescharacteristic
58#11718142C2211yescharacteristic
59#11718142C2211yescharacteristic
60#11718142C2211yescharacteristic
61C22×D4×C13C2×C411yescharacteristic
62C23×C4×C13C2311yescharacteristic
63C23×C4×C13C2311yescharacteristic
64C22×Dic26C2×C411yescharacteristic
65C2×C13×M16—22no—
66C2×C13×M16—22no—
67C2×C13×M16—22no—
68C22×C8×C13—22no—
69C22×C8×C13—22no—
70C22×C8×C13—22no—
71C22×C8×C13C2311yescharacteristic
72C22×C8×C13C2311yescharacteristic
73C22×C8×C13C2311yescharacteristic
74C22×C8×C13C2311yescharacteristic
75C4×D4×C13—22no—
76C4×D4×C13—22no—
77C2×C13×C4⋊C4C2×C411yescharacteristic
78C2×C13×C22⋊C4C2×C411yescharacteristic
79C2×C13×C22⋊C4C2×C411yescharacteristic
80C2×C42×C13C2311yescharacteristic
81C2×C22⋊Dic13C2×C411yescharacteristic
82C2×C22⋊Dic13C2×C411yescharacteristic
83C2×C22⋊Dic13C2×C411yescharacteristic
84C2×C22⋊Dic13C2×C411yescharacteristic
85C2×C22⋊Dic13C2×C411yescharacteristic
86C2×C22⋊Dic13C2×C411yescharacteristic
87C2×C22⋊Dic13C2×C411yescharacteristic
88C2×C22⋊Dic13C2×C411yescharacteristic
89#88190—24no—
90C2×C4⋊Dic13C2×C411yescharacteristic
91C2×#6101C2×C411yescharacteristic
92C2×#6101C2×C411yescharacteristic
93C2×C4×Dic13C2×C411yescharacteristic
94C2×C4×Dic13C2×C411yescharacteristic
95C2×C4×Dic13C2×C411yescharacteristic
96C2×C4×Dic13C2×C411yescharacteristic
97C2×C4×Dic13C2311yescharacteristic
98C2×C4×Dic13C2311yescharacteristic
99C2×C4×Dic13C2311yescharacteristic
100C2×C4×Dic13C2311yescharacteristic
101C22×#1055C2311yescharacteristic
102C22×#1055C2311yescharacteristic
103C22×#1055C2311yescharacteristic
104C22×#1055C2311yescharacteristic
105C4×Dic26—22no—
106C4×Dic26—22no—
107C13×C4⋊C8—22no—
108C13×C22⋊C8—22no—
109C13×C22⋊C8—22no—
110C13×#97D414yes—
111#88071C2×C411yescharacteristic
112#88071C2×C411yescharacteristic
113#88071C2×C411yescharacteristic
114#88071C2×C411yescharacteristic
115#88071C2×C411yescharacteristic
116#88071C2×C411yescharacteristic
117#88071C2×C411yescharacteristic
118#88071C2×C411yescharacteristic
119C22⋊#1055—22no—
120C22⋊#1055—22no—
121C22⋊#1055—22no—
122C22⋊#1055—22no—
123#88055—22no—
124#88055—22no—
125#88055—22no—
126#88054—22no—
127#88054—22no—
128C8×Dic13—22no—
129C8×Dic13—22no—
130C8×Dic13—22no—
131C4⋊#1055—22no—
132#88043—22no—
133#21632—131nomaximal, Sylow
134C24×C13C22×C411yescharacteristic
135C24×C13C22×C411yescharacteristic
136C2×D4×C13—22no—
137C2×D4×C13—22no—
138C2×D4×C13—41no—
139C22×C4×C13—21no—
140C22×C4×C13—21no—
141C22×C4×C13—21no—
142C22×C4×C13—21no—
143C22×C4×C13—21no—
144C22×C4×C13—21no—
145C22×C4×C13—21no—
146C22×C4×C13—21no—
147C22×C4×C13—21no—
148C22×C4×C13—21no—
149C22×C4×C13—21no—
150C22×C4×C13—21no—
151C22×C4×C13C22×C411yescharacteristic
152C22×C4×C13C22×C411yescharacteristic
153C22×C4×C13C22×C411yescharacteristic
154C22×C4×C13C22×C411yescharacteristic
155C22×C4×C13C2411yescharacteristic
156C22×Dic13C22×C411yescharacteristic
157C22×Dic13C22×C411yescharacteristic
158C22×Dic13C22×C411yescharacteristic
159C22×Dic13C22×C411yescharacteristic
160C22×Dic13C22×C411yescharacteristic
161C22×Dic13C22×C411yescharacteristic
162C22×Dic13C22×C411yescharacteristic
163C22×Dic13C22×C411yescharacteristic
164C2×Dic26—22no—
165C2×Dic26—22no—
166C2×Dic26—41no—
167C13×M16—44no—
168C2×C8×C13—21no—
169C2×C8×C13—21no—
170C2×C8×C13—21no—
171C2×C8×C13—21no—
172C2×C8×C13—21no—
173C2×C8×C13—21no—
174C2×C8×C13—21no—
175C2×C8×C13—21no—
176C2×C8×C13—44no—
177C2×C8×C13C2×D412yes—
178C2×C8×C13C2×D412yes—
179C2×C8×C13#4112yes—
180C2×C8×C13#4112yes—
181C13×C4⋊C4—22no—
182C13×C22⋊C4—22no—
183C13×C22⋊C4—22no—
184C42×C13C2×D412yes—
185C42×C13#4112yes—
186C22⋊Dic13—22no—
187C22⋊Dic13—22no—
188C22⋊Dic13—22no—
189C22⋊Dic13—22no—
190C22⋊Dic13—22no—
191C22⋊Dic13—41no—
192C22⋊Dic13—41no—
193C22⋊Dic13M1614yescomplemented
194C4⋊Dic13—22no—
195#6101—22no—
196#6101—22no—
197C4×Dic13—21no—
198C4×Dic13—21no—
199C4×Dic13—21no—
200C4×Dic13—21no—
201C4×Dic13—21no—
202C4×Dic13—21no—
203C4×Dic13—21no—
204C4×Dic13—21no—
205C4×Dic13—22no—
206C4×Dic13—22no—
207C4×Dic13—41no—
208C4×Dic13—41no—
209C2×#1055—21no—
210C2×#1055—21no—
211C2×#1055—21no—
212C2×#1055—21no—
213C2×#1055—21no—
214C2×#1055—21no—
215C2×#1055—21no—
216C2×#1055—21no—
217C2×#1055—21no—
218C2×#1055—21no—
219C2×#1055#4112yes—
220C2×#1055#4112yes—
221C2×#446—131no—
222C2×#435D1311yescharacteristic
223C4×#124—131no—
224#1985—131no—
225#1955—131no—
226#1924—131no—
227#1924—131no—
228#1923—131no—
229#1923—131no—
230#1831—131no—
231#1753—131no—
232#1753—131no—
233#1752—131no—
234C8×C22⋊C4—131no—
235C4×#97—131no—
236C23×C13—21no—
237C23×C13—21no—
238C23×C13—21no—
239C23×C13—21no—
240C23×C13—21no—
241C23×C13—21no—
242C23×C13—21no—
243C23×C13—21no—
244C23×C13—21no—
245C23×C13—21no—
246C23×C13—21no—
247C23×C13—21no—
248C23×C13—21no—
249C23×C13C2×M1612yes—
250C23×C13C23×C411yescharacteristic
251D4×C13—44no—
252C2×C4×C13—21no—
253C2×C4×C13—21no—
254C2×C4×C13—21no—
255C2×C4×C13—21no—
256C2×C4×C13—21no—
257C2×C4×C13—21no—
258C2×C4×C13—21no—
259C2×C4×C13—21no—
260C2×C4×C13—21no—
261C2×C4×C13—21no—
262C2×C4×C13—41no—
263C2×C4×C13—41no—
264C2×C4×C13—41no—
265C2×C4×C13—41no—
266C2×C4×C13—41no—
267C2×C4×C13—41no—
268C2×C4×C13—41no—
269C2×C4×C13—41no—
270C2×C4×C13C4×D412yes—
271C2×C4×C13C4×D412yes—
272C2×C4×C13C22×D411yescharacteristic
273C2×C4×C13C2×#4111yescharacteristic
274C2×C4×C13C2×#4111yescharacteristic
275C2×C4×C13C2×#4111yescharacteristic
276C2×C4×C13C2×#4111yescharacteristic
277C2×C4×C13C2×#4111yescharacteristic
278C2×Dic13—21no—
279C2×Dic13—21no—
280C2×Dic13—21no—
281C2×Dic13—21no—
282C2×Dic13—21no—
283C2×Dic13—21no—
284C2×Dic13—21no—
285C2×Dic13—21no—
286C2×Dic13—21no—
287C2×Dic13—21no—
288C2×Dic13—21no—
289C2×Dic13—21no—
290C2×Dic13—21no—
291C2×Dic13—21no—
292C2×Dic13—21no—
293C2×Dic13—21no—
294C2×Dic13—21no—
295C2×Dic13—21no—
296C2×Dic13—21no—
297C2×Dic13—21no—
298C2×Dic13—21no—
299C2×Dic13C2×M1612yes—
300C2×Dic13C2×M1612yes—
301C2×Dic13#13112yes—
302Dic26—44no—
303C8×C13—22no—
304C8×C13—41no—
305C8×C13—41no—
306C8×C13#12414yescomplemented
307#1055—22no—
308#1055—22no—
309#1055—41no—
310#1055—41no—
311C22×M16C2×D1311yescharacteristic
312C23×C8C2×D1311yescharacteristic
313C2×#124—131no—
314C2×C4×Q8—131no—
315C2×C4×D4C2×D1311yescharacteristic
316#446—264no—
317#435—24no—
318C2×C4⋊C8—131no—
319C2×C4⋊C8—131no—
320C2×C4⋊C8—131no—
321C2×C4⋊C8C2×D1311yescharacteristic
322C2×C22⋊C8—131no—
323C2×C22⋊C8—131no—
324C2×C22⋊C8—131no—
325C2×C22⋊C8—131no—
326C2×C22⋊C8C2×D1311yescharacteristic
327C2×C22⋊C8C2×D1311yescharacteristic
328C2×#97—131no—
329C2×#97—131no—
330C2×#97—131no—
331C2×#97—131no—
332C2×#97C2×D1311yescharacteristic
333C2×C4×C8—131no—
334C2×C4×C8—131no—
335C2×C4×C8—131no—
336#391—131no—
337#390—131no—
338#388—131no—
339#388—131no—
340#388—131no—
341#388—131no—
342#382—131no—
343C4×C22⋊C4—131no—
344C4×C22⋊C4—131no—
345C4×C22⋊C4—131no—
346C4×C22⋊C4—131no—
347C43—131no—
348#336—131no—
349#336—131no—
350#336—131no—
351#336—131no—
352#336—131no—
353#336—131no—
354#336—131no—
355#336—131no—
356C22×C13—22no—
357C22×C13—22no—
358C22×C13—22no—
359C22×C13—41no—
360C22×C13—41no—
361C22×C13—41no—
362C22×C13—41no—
363C22×C13—41no—
364C22×C13—41no—
365C22×C13—41no—
366C22×C13—41no—
367C22×C13—41no—
368C22×C13—41no—
369C22×C13—41no—
370C22×C13C2×C4×D411yescharacteristic
371C22×C13C4×#4111yescharacteristic
372C22×C13C4×#4111yescharacteristic
373C22×C13C22×M1611yescharacteristic
374C22×C13C2×#13111yescharacteristic
375C22×C13#56811yescharacteristic
376C22×C13#56811yescharacteristic
377C4×C13—22no—
378C4×C13—22no—
379C4×C13—41no—
380C4×C13—41no—
381C4×C13C2×#12411yescharacteristic
382C4×C13#52911yescharacteristic
383C4×C13#52911yescharacteristic
384C4×C13#53211yescharacteristic
385Dic13—22no—
386Dic13—22no—
387Dic13—22no—
388Dic13—41no—
389Dic13—41no—
390Dic13—41no—
391Dic13—41no—
392Dic13—41no—
393C22×Q8—131no—
394C22×D4C4×D1311yescharacteristic
395C23×C4C22×D1311yescharacteristic
396C23×C4C22×D1311yescharacteristic
397C2×M16—22no—
398C2×M16—22no—
399C2×M16—22no—
400C22×C8—22no—
401C22×C8—22no—
402C22×C8—22no—
403C22×C8—131no—
404C22×C8—131no—
405C22×C8—131no—
406C22×C8—131no—
407C22×C8C22×D1311yescharacteristic
408C22×C8C22×D1311yescharacteristic
409C22×C8C22×D1311yescharacteristic
410C22×C8C22×D1311yescharacteristic
411#124—264no—
412C4×Q8—262no—
413C4×Q8—262no—
414C4×D4—22no—
415C4×D4—22no—
416C2×C4⋊C4—131no—
417C2×C4⋊C4—131no—
418C2×C4⋊C4—131no—
419C2×C4⋊C4C4×D1311yescharacteristic
420C2×C22⋊C4—131no—
421C2×C22⋊C4—131no—
422C2×C22⋊C4—131no—
423C2×C22⋊C4—131no—
424C2×C22⋊C4—131no—
425C2×C22⋊C4—131no—
426C2×C22⋊C4—131no—
427C2×C22⋊C4—131no—
428C2×C22⋊C4C4×D1311yescharacteristic
429C2×C22⋊C4C4×D1311yescharacteristic
430C2×C42—131no—
431C2×C42—131no—
432C2×C42—131no—
433C2×C42—131no—
434C2×C42—131no—
435C2×C42—131no—
436C2×C42—131no—
437C2×C42—131no—
438C2×C42C22×D1311yescharacteristic
439C4⋊C8—22no—
440C4⋊C8—262no—
441C4⋊C8—262no—
442C4⋊C8—262no—
443C22⋊C8—22no—
444C22⋊C8—22no—
445C22⋊C8—262no—
446C22⋊C8—262no—
447C22⋊C8—262no—
448C22⋊C8—262no—
449#97—262no—
450#97—262no—
451#97—262no—
452#97—262no—
453#97C22⋊D1314yes—
454C4×C8—262no—
455C4×C8—262no—
456C4×C8—262no—
457#95—131no—
458#95—131no—
459#95—131no—
460#95—131no—
461#95—131no—
462#95—131no—
463#95—131no—
464#95—131no—
465C2×C13—42no—
466C2×C13—81no—
467C2×C13C4×#12411yescharacteristic
468C2×C13D4×M1611yescharacteristic
469C2×C13#293511yescharacteristic
470C2×C13#296511yescharacteristic
471C2×C13#296711yescharacteristic
472C2×C13#296811yescharacteristic
473C2×C13#297011yescharacteristic
474C24C2×C4×D1311yescharacteristic
475C24C2×C4×D1311yescharacteristic
476C2×Q8—262no—
477C2×Q8—262no—
478C2×Q8—521no—
479C2×D4—22no—
480C2×D4—22no—
481C2×D4—41no—
482C22×C4—21no—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—131no—
495C22×C4—131no—
496C22×C4—131no—
497C22×C4—131no—
498C22×C4—131no—
499C22×C4—131no—
500C22×C4—131no—
501C22×C4—131no—
502C22×C4C2×C4×D1311yescharacteristic
503C22×C4C2×C4×D1311yescharacteristic
504C22×C4C2×C4×D1311yescharacteristic
505C22×C4C2×C4×D1311yescharacteristic
506C22×C4C23×D1311yescharacteristic
507M16—44no—
508C2×C8—21no—
509C2×C8—21no—
510C2×C8—21no—
511C2×C8—21no—
512C2×C8—21no—
513C2×C8—21no—
514C2×C8—21no—
515C2×C8—21no—
516C2×C8—44no—
517C2×C8—132no—
518C2×C8—132no—
519C2×C8—261no—
520C2×C8—261no—
521C2×C8—261no—
522C2×C8—261no—
523C2×C8—261no—
524C2×C8—261no—
525C2×C8—261no—
526C2×C8—261no—
527C2×C8—261no—
528C2×C8—261no—
529C2×C8#612912yes—
530C2×C8#612912yes—
531C2×C8C2×C22⋊D1312yes—
532C2×C8C2×C22⋊D1312yes—
533C4⋊C4—22no—
534C4⋊C4—262no—
535C4⋊C4—262no—
536C4⋊C4—262no—
537C22⋊C4—22no—
538C22⋊C4—22no—
539C22⋊C4—134no—
540C22⋊C4—262no—
541C22⋊C4—262no—
542C22⋊C4—262no—
543C22⋊C4—262no—
544C22⋊C4—262no—
545C22⋊C4—521no—
546C22⋊C4—521no—
547C42—262no—
548C42—262no—
549C42—261no—
550C42—261no—
551C42—261no—
552C42—261no—
553C42—261no—
554C42—261no—
555C42—261no—
556C42—261no—
557C42—521no—
558C42—521no—
559C42#612712yes—
560C42C2×C22⋊D1312yes—
561C13#2163211yescharacteristic, complemented, Sylow
562C23—21no—
563C23—21no—
564C23—21no—
565C23—21no—
566C23—21no—
567C23—21no—
568C23—21no—
569C23—21no—
570C23—21no—
571C23—21no—
572C23—21no—
573C23—21no—
574C23—21no—
575C23M16×D1312yes—
576C23C22×C4×D1311yescharacteristic
577Q8—524no—
578D4—44no—
579C2×C4—21no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—41no—
590C2×C4—41no—
591C2×C4—41no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—132no—
598C2×C4—132no—
599C2×C4—132no—
600C2×C4—261no—
601C2×C4—261no—
602C2×C4—261no—
603C2×C4—261no—
604C2×C4—261no—
605C2×C4—261no—
606C2×C4—261no—
607C2×C4—261no—
608C2×C4—261no—
609C2×C4—261no—
610C2×C4—261no—
611C2×C4—261no—
612C2×C4—261no—
613C2×C4—261no—
614C2×C4—261no—
615C2×C4—261no—
616C2×C4—261no—
617C2×C4—261no—
618C2×C4—261no—
619C2×C4—261no—
620C2×C4—261no—
621C2×C4C4×C22⋊D1312yes—
622C2×C4C4×C22⋊D1312yes—
623C2×C4C2×#612711yescharacteristic
624C2×C4C2×#612911yescharacteristic
625C2×C4C2×#612911yescharacteristic
626C2×C4#41×D1311yescharacteristic
627C2×C4#41×D1311yescharacteristic
628C2×C4C22×C22⋊D1311yescharacteristic
629C8—22no—
630C8—41no—
631C8—41no—
632C8—262no—
633C8—262no—
634C8—521no—
635C8—521no—
636C8#8819014yescomplemented
637C22—22no—
638C22—22no—
639C22—22no—
640C22—41no—
641C22—41no—
642C22—41no—
643C22—41no—
644C22—41no—
645C22—41no—
646C22—41no—
647C22—41no—
648C22—41no—
649C22—41no—
650C22—41no—
651C22C4×#612911yescharacteristic
652C22C4×#612911yescharacteristic
653C22C2×M16×D1311yescharacteristic
654C22#1171945011yescharacteristic
655C22D13×#13111yescharacteristic
656C22#1171945511yescharacteristic
657C22C2×C4×C22⋊D1311yescharacteristic
658C4—22no—
659C4—22no—
660C4—41no—
661C4—41no—
662C4—262no—
663C4—262no—
664C4—262no—
665C4—521no—
666C4—521no—
667C4—521no—
668C4—521no—
669C4—521no—
670C4#1171926211yescharacteristic
671C4#1171926211yescharacteristic
672C4C2×#8819011yescharacteristic
673C4#1171953711yescharacteristic
674C2—42no—
675C2—81no—
676C2C4×#8819011yescharacteristic
677C2M16×C22⋊D1311yescharacteristic
678C2#1312357811yescharacteristic
679C2#1312379611yescharacteristic
680C2#1312381811yescharacteristic
681C2#1312382711yescharacteristic
682C2#1312384611yescharacteristic
subgroupG/H
center, FrattiniC22×C4C23×D13
commutator, socleC23×C13C23×C4
FittingC2×C13×#435C2
prime radicalC22×D4×C13C2×C4
cosocleC22×C4×C13C24
hypercenterC2×#435D13
hypocenterC13#21632
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C22×C4 ◁ C2×#435

Complements

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

NH ≅ G/Ntype
1. C2×#11718362C2semidirect
3. #13115775C2semidirect
5. #13115452C2semidirect
6. #13115452C2semidirect
7. #13115445C2semidirect
8. #13115445C2semidirect
9. #13114952C2semidirect
10. #13114617C2semidirect
11. #13114617C2semidirect
12. #13114612C2semidirect
13. C8×C22⋊Dic13C2semidirect
14. #97×Dic13C2semidirect
193. C22⋊Dic13M16semidirect
306. C8×C13#124semidirect
561. C13#21632semidirect
636. C8#88190semidirect

Maximal subgroups

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

subgroupindex
C2×#117183622
C4×#881902
#131157752
#131156352
#131154522
#131154452
#131149522
#131146172
#131146122
C8×C22⋊Dic132
#97×Dic132
C2×C13×#4352
#2163213