Finite Group Databasebeta

← C2×#13127680 #16742718

Subgroups — C2×#13127680 #16742718

Order 3328.

1810 conjugacy classes of subgroups.

The subgroup lattice has 700 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11719272C211yesmaximal, characteristic, complemented
2C2×#11719289C211yesmaximal, characteristic
3#13127680C2116yesmaximal, direct product factor
4C2×#11718364C211yesmaximal, characteristic, complemented
5C2×#11718375C211yesmaximal, characteristic
6C2×#11718358C211yesmaximal, characteristic
7C2×#11718490C211yesmaximal, characteristic, complemented
8C2×#11718511C211yesmaximal, characteristic, complemented
9C2×#11718508C211yesmaximal, characteristic
10C2×#11718506C211yesmaximal, characteristic
11C2×#11718506C211yesmaximal, characteristic
12C2×#11718510C211yesmaximal, characteristic, complemented
13C2×#11718377C211yesmaximal, characteristic, complemented
14C2×#11718371C211yesmaximal, characteristic
15C2×C4×Dic52C211yesmaximal, characteristic, complemented
16C2×C13×#446C211yesmaximal, characteristic, complemented
17C2×C4×Q8×C13C2211yescharacteristic
18C2×#88200—21no—
19C2×#88198—21no—
20C22×Dic52C2211yescharacteristic
21C22×Dic52C2211yescharacteristic
22C22×#6095C2211yescharacteristic
23#11719289—24no—
24#11719289C2218yes—
25#11719272—24no—
26#11719272C2218yescomplemented
27C2×#88152—21no—
28C2×#88152—21no—
29C2×#88146—21no—
30C2×#88143—21no—
31C2×#88143—21no—
32C2×#88141—21no—
33C2×#88129C2211yescharacteristic
34C2×#88129C2211yescharacteristic
35C2×C4×D52C2211yescharacteristic
36C2×#88124C2211yescharacteristic
37C2×#88124C2211yescharacteristic
38C2×#88123C2211yescharacteristic
39C2×#88123C2211yescharacteristic
40C2×C4×Dic26C2211yescharacteristic
41C2×C4×Dic26C2211yescharacteristic
42C2×C4×Dic26C2211yescharacteristic
43C2×C4×Dic26C2211yescharacteristic
44C2×C4×Dic26C2211yescharacteristic
45C13×#446C2218yescomplemented
46C2×C13×C4⋊C8C2211yescharacteristic
47C2×C13×C4⋊C8C2211yescharacteristic
48C2×C13×C4⋊C8C2211yescharacteristic
49C2×C13×#97C2211yescharacteristic
50C2×C13×#97C2211yescharacteristic
51C2×C4×C8×C13C2211yescharacteristic
52C2×#88061C2211yescharacteristic
53C2×#88061C2211yescharacteristic
54C2×#88061C2211yescharacteristic
55C2×#88058C2211yescharacteristic
56C2×#88058C2211yescharacteristic
57C2×#88057C2211yescharacteristic
58C2×#88056C2211yescharacteristic
59C2×#88056C2211yescharacteristic
60C2×#88056C2211yescharacteristic
61C2×#88056C2211yescharacteristic
62C2×#88056C2211yescharacteristic
63C2×#88056C2211yescharacteristic
64C2×#88056C2211yescharacteristic
65#11718511C2218yescomplemented
66#11718510C2218yescomplemented
67#11718508C2218yes—
68#11718506C2218yes—
69#11718506C2218yes—
70#11718490C2218yescomplemented
71#11718377C2218yescomplemented
72#11718375C2218yes—
73#11718371C2218yes—
74#11718364C2218yescomplemented
75C4×Dic52C2218yescomplemented
76#11718358C2218yes—
77C22×Q8×C13D411yescharacteristic
78C22×D52C2311yescharacteristic
79C22×C4×D13—21no—
80C22×Dic26—21no—
81C22×Dic26C2311yescharacteristic
82C22×Dic26C2311yescharacteristic
83C22×Dic26C2311yescharacteristic
84C22×C8×C13C2311yescharacteristic
85C22×C8×C13C2311yescharacteristic
86C22×C8×C13C2311yescharacteristic
87C22×C8×C13C2311yescharacteristic
88C4×Q8×C13D414yes—
89C4×Q8×C13C2314yes—
90C2×C13×C4⋊C4D411yescharacteristic
91C2×C13×C4⋊C4D411yescharacteristic
92C2×C13×C4⋊C4D411yescharacteristic
93C2×C42×C13C2311yescharacteristic
94C2×C42×C13C2311yescharacteristic
95C2×C42×C13C2311yescharacteristic
96#88200—28no—
97#88198—28no—
98C2×#6103—21no—
99C2×#6103—21no—
100C2×#6103—21no—
101C2×#6103—21no—
102C2×#6103—21no—
103C2×C4⋊Dic13—21no—
104C2×C4⋊Dic13—21no—
105C2×C4⋊Dic13—21no—
106C2×C4⋊Dic13C2311yescharacteristic
107C2×C4⋊Dic13C2311yescharacteristic
108C2×C4⋊Dic13C2311yescharacteristic
109C2×C4⋊Dic13C2311yescharacteristic
110C2×#6101—21no—
111C2×#6101—21no—
112C2×#6101—21no—
113C2×#6101—21no—
114C2×#6101—21no—
115C2×#6101—21no—
116C2×#6101—21no—
117C2×#6101—21no—
118C2×#6101—21no—
119C2×C4×Dic13—21no—
120C2×C4×Dic13—21no—
121C2×C4×Dic13—21no—
122C2×C4×Dic13—21no—
123C2×C4×Dic13—21no—
124C2×Dic52—24no—
125C2×Dic52—24no—
126C2×Dic52C2314yes—
127C2×Dic52C2314yes—
128C2×#6095—24no—
129C2×#6095C2314yes—
130#88152—28no—
131#88152—28no—
132#88146—28no—
133#88143—28no—
134#88143—28no—
135#88141—28no—
136#88129—22no—
137#88129—22no—
138#88129C2314yes—
139#88129C2314yes—
140C4×D52—22no—
141C4×D52C2314yes—
142#88124—22no—
143#88124—22no—
144#88124C2314yes—
145#88124C2314yes—
146#88123—22no—
147#88123—22no—
148#88123C2314yes—
149#88123C2314yes—
150C4×Dic26—22no—
151C4×Dic26—22no—
152C4×Dic26—22no—
153C4×Dic26—22no—
154C4×Dic26—22no—
155C4×Dic26C2314yes—
156C4×Dic26C2314yes—
157C4×Dic26C2314yes—
158C4×Dic26C2314yes—
159C4×Dic26C2314yes—
160C13×C4⋊C8C2314yes—
161C13×C4⋊C8C2314yes—
162C13×C4⋊C8C2314yes—
163C13×#97C2314yes—
164C13×#97C2314yes—
165C4×C8×C13C2314yes—
166#88061C2314yes—
167#88061C2314yes—
168#88061C2314yes—
169#88058C2314yes—
170#88058C2314yes—
171#88057C2314yes—
172#88056C2314yes—
173#88056C2314yes—
174#88056C2314yes—
175#88056C2314yes—
176#88056C2314yes—
177#88056C2314yes—
178#88056C2314yes—
179C2×#3377—131nomaximal, Sylow
180C23×D13—21no—
181C2×Q8×C13—42no—
182C2×Q8×C13C2×D414yes—
183C22×C4×C13C2×D411yescharacteristic
184C22×C4×C13C2×D411yescharacteristic
185C22×C4×C13C2×D411yescharacteristic
186C22×C4×C13C2×D411yescharacteristic
187C22×C4×C13C2×D411yescharacteristic
188C22×C4×C13C2×D411yescharacteristic
189C22×C4×C13C2411yescharacteristic
190C22×Dic13—21no—
191C22×Dic13—21no—
192C22×Dic13—21no—
193C22×Dic13—21no—
194C22×Dic13—21no—
195C22×Dic13—21no—
196C22×Dic13—21no—
197C2×D52—22no—
198C2×D52—22no—
199C2×D52—21no—
200C2×D52C2412yes—
201C2×C4×D13—24no—
202C2×C4×D13—44no—
203C2×Dic26—21no—
204C2×Dic26—22no—
205C2×Dic26—22no—
206C2×Dic26—22no—
207C2×Dic26—22no—
208C2×Dic26—22no—
209C2×Dic26—21no—
210C2×Dic26—21no—
211C2×Dic26—24no—
212C2×Dic26—44no—
213C2×Dic26#4114yes—
214C2×Dic26C2412yes—
215C2×Dic26C2412yes—
216C2×Dic26C2412yes—
217C2×C8×C13—22no—
218C2×C8×C13—22no—
219C2×C8×C13—22no—
220C2×C8×C13—22no—
221C2×C8×C13C2412yes—
222C2×C8×C13C2412yes—
223C2×C8×C13C2412yes—
224C2×C8×C13C2412yes—
225C13×C4⋊C4C2×D414yes—
226C13×C4⋊C4C2×D414yes—
227C13×C4⋊C4C2×D414yes—
228C42×C13C2×D412yes—
229C42×C13C2×D412yes—
230C42×C13C2×D412yes—
231C42×C13C2412yes—
232C42×C13C2412yes—
233C42×C13C2412yes—
234#6103—24no—
235#6103—24no—
236#6103—24no—
237#6103—24no—
238#6103—24no—
239C4⋊Dic13—21no—
240C4⋊Dic13—21no—
241C4⋊Dic13—21no—
242C4⋊Dic13—21no—
243C4⋊Dic13—24no—
244C4⋊Dic13—24no—
245C4⋊Dic13—24no—
246C4⋊Dic13C2412yes—
247C4⋊Dic13C2412yes—
248C4⋊Dic13C2412yes—
249C4⋊Dic13C2412yes—
250#6101—24no—
251#6101—24no—
252#6101—24no—
253#6101—24no—
254#6101—24no—
255#6101—24no—
256#6101—24no—
257#6101—24no—
258#6101—24no—
259C4×Dic13—24no—
260C4×Dic13—24no—
261C4×Dic13—24no—
262C4×Dic13—24no—
263C4×Dic13—24no—
264Dic52—28no—
265Dic52—28no—
266#6095—28no—
267C2×#557—131no—
268C2×#556—131no—
269#3377—1316no—
270C2×#491—131no—
271C2×#489—131no—
272C2×#488—131no—
273C2×#479—131no—
274C2×#477—131no—
275C2×#478—131no—
276C2×#464—131no—
277C2×#464—131no—
278C2×#462—131no—
279C2×#446D1311yescharacteristic, complemented
280C2×#441—131no—
281C2×#440—131no—
282C2×C4×Q16—131no—
283C23×C13C22×D411yescharacteristic
284C22×D13—22no—
285C22×D13—42no—
286C22×D13—42no—
287C22×D13—42no—
288Q8×C13—44no—
289C2×C4×C13—22no—
290C2×C4×C13—22no—
291C2×C4×C13—22no—
292C2×C4×C13—22no—
293C2×C4×C13—22no—
294C2×C4×C13—22no—
295C2×C4×C13C22×D412yes—
296C2×C4×C13C22×D412yes—
297C2×C4×C13C22×D412yes—
298C2×C4×C13C22×D412yes—
299C2×C4×C13C22×D412yes—
300C2×C4×C13C22×D412yes—
301C2×C4×C13C22×D411yescharacteristic
302C2×C4×C13C2×#4112yes—
303C2×C4×C132−1+412yes—
304C2×C4×C13C2511yescharacteristic
305C2×Dic13—24no—
306C2×Dic13—22no—
307C2×Dic13—22no—
308C2×Dic13—22no—
309C2×Dic13—22no—
310C2×Dic13—22no—
311C2×Dic13—22no—
312C2×Dic13—22no—
313C2×Dic13—42no—
314C2×Dic13—42no—
315C2×Dic13—42no—
316C2×Dic13—42no—
317C2×Dic13—42no—
318C2×Dic13—42no—
319D52—22no—
320D52—22no—
321D52—42no—
322C4×D13—48no—
323Dic26—24no—
324Dic26—22no—
325Dic26—22no—
326Dic26—22no—
327Dic26—22no—
328Dic26—22no—
329Dic26—48no—
330Dic26—42no—
331Dic26—42no—
332Dic26C2×#4114yes—
333C8×C13—22no—
334C8×C13—22no—
335C8×C13—22no—
336C8×C13—22no—
337C22×Q16—131no—
338C22×Q16—131no—
339C22×SD16—131no—
340#557—138no—
341#557—264no—
342#556—138no—
343#556—264no—
344C2×C4⋊Q8—131no—
345C2×C4⋊Q8—131no—
346C2×C4⋊Q8—261no—
347C2×#126—261no—
348C2×#126—261no—
349C2×#125—131no—
350C2×#125—131no—
351C2×#125—261no—
352C2×#125—261no—
353C2×#124—131no—
354C2×#124—131no—
355C2×C22⋊Q8—261no—
356C2×C4×Q8—131no—
357C2×C4×Q8—131no—
358C2×C4×Q8—131no—
359C2×C4×Q8—131no—
360C2×C4×Q8—131no—
361C2×C4×Q8—261no—
362C2×C4×Q8C2×D1311yescharacteristic
363C2×C4×D4—131no—
364C2×#117—261no—
365#491—138no—
366#489—138no—
367#488—138no—
368#479—138no—
369#478—138no—
370#477—138no—
371#464—138no—
372#464—138no—
373#462—138no—
374#446C2×D1318yescomplemented
375#441—138no—
376#440—138no—
377C4×Q16—138no—
378C2×#107—131no—
379C2×#107—131no—
380C2×#106—131no—
381C2×C4⋊C8C2×D1311yescharacteristic
382C2×C4⋊C8C2×D1311yescharacteristic
383C2×C4⋊C8C2×D1311yescharacteristic
384C2×#103—131no—
385C2×#103—131no—
386C2×#103—131no—
387C2×#103—131no—
388C2×#103—131no—
389C2×#103—131no—
390C2×#103—131no—
391C2×#102—131no—
392C2×#102—131no—
393C2×#102—131no—
394C2×#97C2×D1311yescharacteristic
395C2×#97C2×D1311yescharacteristic
396C2×C4×C8C2×D1311yescharacteristic
397C22×C13#54812yes—
398C22×C13#57512yes—
399C22×C13#57812yes—
400C22×C13C23×D411yescharacteristic
401C2×D13—42no—
402C2×D13—42no—
403C2×D13—42no—
404C2×D13—84no—
405C4×C13—22no—
406C4×C13—22no—
407C4×C13—22no—
408C4×C13—22no—
409C4×C13—22no—
410C4×C13—22no—
411C4×C13#54812yes—
412C4×C13C22×#4111yescharacteristic
413C4×C13C2×2−1+411yescharacteristic
414Dic13—24no—
415Dic13—42no—
416Dic13—42no—
417Dic13—42no—
418Dic13—42no—
419Dic13—42no—
420Dic13—42no—
421C22×Q8—131no—
422C22×Q8—131no—
423C22×Q8—131no—
424C22×Q8—261no—
425C22×Q8D5211yescharacteristic
426C22×D4—131no—
427C23×C4—261no—
428C2×Q16—134no—
429C2×Q16—134no—
430C2×Q16—264no—
431C2×Q16—264no—
432C2×SD16—134no—
433C2×SD16—264no—
434C22×C8C22×D1311yescharacteristic
435C22×C8C22×D1311yescharacteristic
436C22×C8C22×D1311yescharacteristic
437C22×C8C22×D1311yescharacteristic
438C4⋊Q8—134no—
439C4⋊Q8—134no—
440C4⋊Q8—268no—
441C4⋊Q8—262no—
442C4⋊Q8—262no—
443#126—268no—
444#126—268no—
445#125—134no—
446#125—134no—
447#125—268no—
448#125—268no—
449#125—262no—
450#125—262no—
451#124—134no—
452#124—134no—
453#124—262no—
454#124—262no—
455C22⋊Q8—268no—
456C4×Q8—134no—
457C4×Q8—134no—
458C4×Q8—134no—
459C4×Q8—134no—
460C4×Q8—134no—
461C4×Q8—268no—
462C4×Q8—262no—
463C4×Q8—262no—
464C4×Q8—262no—
465C4×Q8—262no—
466C4×Q8—262no—
467C4×Q8D5214yes—
468C4×Q8C22×D1314yes—
469C4×D4—134no—
470C4×D4—262no—
471#117—268no—
472C2×C4⋊C4—131no—
473C2×C4⋊C4—131no—
474C2×C4⋊C4—131no—
475C2×C4⋊C4—131no—
476C2×C4⋊C4—261no—
477C2×C4⋊C4—261no—
478C2×C4⋊C4—261no—
479C2×C4⋊C4—261no—
480C2×C4⋊C4—261no—
481C2×C4⋊C4—261no—
482C2×C4⋊C4—261no—
483C2×C4⋊C4—261no—
484C2×C4⋊C4—261no—
485C2×C4⋊C4—261no—
486C2×C4⋊C4—261no—
487C2×C4⋊C4—261no—
488C2×C4⋊C4D5211yescharacteristic
489C2×C4⋊C4D5211yescharacteristic
490C2×C4⋊C4D5211yescharacteristic
491C2×C22⋊C4—261no—
492C2×C22⋊C4—261no—
493C2×C22⋊C4—261no—
494C2×C22⋊C4—261no—
495C2×C22⋊C4—261no—
496C2×C42—261no—
497C2×C42—261no—
498C2×C42—261no—
499C2×C42—261no—
500C2×C42—261no—
501C2×C42C22×D1311yescharacteristic
502C2×C42C22×D1311yescharacteristic
503C2×C42C22×D1311yescharacteristic
504#107—134no—
505#107—134no—
506#106—134no—
507C4⋊C8C22×D1314yes—
508C4⋊C8C22×D1314yes—
509C4⋊C8C22×D1314yes—
510#103—134no—
511#103—134no—
512#103—134no—
513#103—134no—
514#103—134no—
515#103—134no—
516#103—134no—
517#102—134no—
518#102—134no—
519#102—134no—
520#97C22×D1314yes—
521#97C22×D1314yes—
522C4×C8C22×D1314yes—
523C2×C13#337714yescomplemented
524C2×C13C2×#54811yescharacteristic
525C2×C13C2×#57511yescharacteristic
526C2×C13C2×#57811yescharacteristic
527D13—82no—
528C24—261no—
529C2×Q8—42no—
530C2×Q8—134no—
531C2×Q8—132no—
532C2×Q8—132no—
533C2×Q8—132no—
534C2×Q8—261no—
535C2×Q8—261no—
536C2×Q8—261no—
537C2×Q8—264no—
538C2×Q8—262no—
539C2×Q8—262no—
540C2×Q8—262no—
541C2×Q8—262no—
542C2×Q8—262no—
543C2×Q8—524no—
544C2×Q8C2×D5214yes—
545C2×D4—132no—
546C2×D4—261no—
547C2×D4—262no—
548C2×D4—262no—
549C22×C4—261no—
550C22×C4—261no—
551C22×C4—261no—
552C22×C4—261no—
553C22×C4—261no—
554C22×C4—261no—
555C22×C4—261no—
556C22×C4—264no—
557C22×C4—524no—
558C22×C4C2×D5211yescharacteristic
559C22×C4C2×D5211yescharacteristic
560C22×C4C2×D5211yescharacteristic
561C22×C4C2×D5211yescharacteristic
562C22×C4C2×D5211yescharacteristic
563C22×C4C2×D5211yescharacteristic
564C22×C4C23×D1311yescharacteristic
565Q16—268no—
566Q16—268no—
567SD16—268no—
568C2×C8—22no—
569C2×C8—22no—
570C2×C8—22no—
571C2×C8—22no—
572C2×C8C23×D1312yes—
573C2×C8C23×D1312yes—
574C2×C8C23×D1312yes—
575C2×C8C23×D1312yes—
576C4⋊C4—132no—
577C4⋊C4—132no—
578C4⋊C4—132no—
579C4⋊C4—132no—
580C4⋊C4—261no—
581C4⋊C4—261no—
582C4⋊C4—261no—
583C4⋊C4—261no—
584C4⋊C4—264no—
585C4⋊C4—264no—
586C4⋊C4—264no—
587C4⋊C4—264no—
588C4⋊C4—264no—
589C4⋊C4—264no—
590C4⋊C4—264no—
591C4⋊C4—264no—
592C4⋊C4—264no—
593C4⋊C4—264no—
594C4⋊C4—264no—
595C4⋊C4—264no—
596C4⋊C4C2×D5214yes—
597C4⋊C4C2×D5214yes—
598C4⋊C4C2×D5214yes—
599C22⋊C4—264no—
600C22⋊C4—264no—
601C22⋊C4—264no—
602C22⋊C4—264no—
603C22⋊C4—264no—
604C42—264no—
605C42—264no—
606C42—264no—
607C42—264no—
608C42—264no—
609C42C2×D5212yes—
610C42C2×D5212yes—
611C42C2×D5212yes—
612C42C23×D1312yes—
613C42C23×D1312yes—
614C42C23×D1312yes—
615C13C2×#337711yescharacteristic, complemented, Sylow
616C23—262no—
617C23—522no—
618C23—522no—
619C23—522no—
620C23C22×D5211yescharacteristic
621Q8—44no—
622Q8—134no—
623Q8—264no—
624Q8—262no—
625Q8—262no—
626Q8—262no—
627Q8—262no—
628Q8—262no—
629Q8—528no—
630Q8—522no—
631Q8—522no—
632D4—262no—
633D4—262no—
634D4—522no—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—264no—
642C2×C4—262no—
643C2×C4—262no—
644C2×C4—262no—
645C2×C4—262no—
646C2×C4—262no—
647C2×C4—262no—
648C2×C4—262no—
649C2×C4—528no—
650C2×C4—522no—
651C2×C4—522no—
652C2×C4—522no—
653C2×C4—522no—
654C2×C4—522no—
655C2×C4—522no—
656C2×C4C22×D5212yes—
657C2×C4C22×D5212yes—
658C2×C4C22×D5212yes—
659C2×C4C22×D5212yes—
660C2×C4C22×D5212yes—
661C2×C4C22×D5212yes—
662C2×C4C22×D5211yescharacteristic
663C2×C4#8825412yes—
664C2×C4#41×D1312yes—
665C2×C4C24×D1311yescharacteristic
666C8—22no—
667C8—22no—
668C8—22no—
669C8—22no—
670C22—522no—
671C22—522no—
672C22—522no—
673C22—1044no—
674C22#1171928112yes—
675C22#1171945312yes—
676C22#1171945812yes—
677C22C23×D5211yescharacteristic
678C4—22no—
679C4—22no—
680C4—22no—
681C4—22no—
682C4—22no—
683C4—22no—
684C4—264no—
685C4—522no—
686C4—522no—
687C4—522no—
688C4—522no—
689C4—522no—
690C4—522no—
691C4#1171928112yes—
692C4C2×#8825411yescharacteristic
693C4C2×#41×D1311yescharacteristic
694C2—1042no—
695C2#1312768014yesdirect product factor
696C2C2×#1171928111yescharacteristic
697C2C2×#1171945311yescharacteristic
698C2C2×#1171945811yescharacteristic
subgroupG/H
centerC23C22×D52
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC2×C13×#446C2
socleC23×C13C22×D4
prime radicalC22×D52C23
hypercenterC2×#446D13
hypocenterC13C2×#3377
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C23 ◁ C2×C4×Q8 ◁ C2×#446

Complements

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

NH ≅ G/Ntype
1. C2×#11719272C2semidirect
3. #13127680C2direct (N × H)
4. C2×#11718364C2semidirect
7. C2×#11718490C2semidirect
8. C2×#11718511C2semidirect
12. C2×#11718510C2semidirect
13. C2×#11718377C2semidirect
15. C2×C4×Dic52C2semidirect
16. C2×C13×#446C2semidirect
26. #11719272C22semidirect
45. C13×#446C22semidirect
65. #11718511C22semidirect
66. #11718510C22semidirect
70. #11718490C22semidirect
71. #11718377C22semidirect
74. #11718364C22semidirect
75. C4×Dic52C22semidirect
279. C2×#446D13semidirect
374. #446C2×D13semidirect
523. C2×C13#3377semidirect
615. C13C2×#3377semidirect
695. C2#13127680direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#117192722
C2×#117192892
#131276802
C2×#117183642
C2×#117183752
C2×#117183582
C2×#117184902
C2×#117185112
C2×#117185082
C2×#117185062
C2×#117185102
C2×#117183772
C2×#117183712
C2×C4×Dic522
C2×C13×#4462
C2×#337713