Finite Group Databasebeta

← C2×C22⋊Q8×Dic11 #14912224

Subgroups — C2×C22⋊Q8×Dic11 #14912224

Order 2816.

3854 conjugacy classes of subgroups.

The subgroup lattice has 600 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×Q8×Dic11C211yesmaximal, characteristic, complemented
2C23×C4×Dic11C211yesmaximal, characteristic
3C22⋊Q8×Dic11C2116yesmaximal, direct product factor
4C2×#10622843C211yesmaximal, characteristic, complemented
5C2×#10622598C211yesmaximal, characteristic, complemented
6C2×#10622594C212yesmaximal, complemented
7C2×#10622563C212yesmaximal
8C2×#10622825C211yesmaximal, characteristic
9C2×C4⋊C4×Dic11C211yesmaximal, characteristic, complemented
10C2×C4⋊C4×Dic11C212yesmaximal, complemented
11C2×C22⋊C4×Dic11C212yesmaximal
12C22×C11×C22⋊Q8C211yesmaximal, characteristic
13C23×Q8×C11C2211yescharacteristic
14C24×C4×C11C2211yescharacteristic
15C24×Dic11C2211yescharacteristic
16C24×Dic11C2211yescharacteristic
17C2×C11×C22⋊Q8C4116yescomplemented
18C2×C11×C22⋊Q8C2218yes—
19C22×C11×C4⋊C4C2212yes—
20C22×C11×C4⋊C4C2211yescharacteristic
21C22×C11×C22⋊C4C2212yes—
22C22×C22⋊Dic11C2212yes—
23C2×Q8×Dic11—28no—
24C2×Q8×Dic11C2218yescomplemented
25C22×C4⋊Dic11C2211yescharacteristic
26C22×C4⋊Dic11C2212yes—
27C22×C4⋊Dic11C2211yescharacteristic
28C22×C4⋊Dic11C2212yes—
29C22×C4×Dic11—28no—
30C22×C4×Dic11C2218yes—
31C22×C4×Dic11C2212yes—
32C22×C4×Dic11C2212yes—
33C22×C4×Dic11C2211yescharacteristic
34C22×C4×Dic11C2211yescharacteristic
35C22×C4×Dic11C2211yescharacteristic
36C22×C4×Dic11C2211yescharacteristic
37#10622843C2218yescomplemented
38#10622825C2218yes—
39C2×C11⋊#95C2212yes—
40C2×C11⋊#95C2212yes—
41C2×C11⋊#95C2212yes—
42C2×C11⋊#95C2212yes—
43C2×C11⋊#95C2212yes—
44#10622598C2218yescomplemented
45#10622594C22116yescomplemented
46C4⋊C4×Dic11C22116yescomplemented
47C4⋊C4×Dic11C2218yescomplemented
48#10622563C22116yes—
49C22⋊C4×Dic11C22116yes—
50C25×C11C2311yescharacteristic
51C22×Q8×C11—24no—
52C22×Q8×C11—24no—
53C22×Q8×C11C2×C418yescomplemented
54C22×Q8×C11C2314yes—
55C23×C4×C11—24no—
56C23×C4×C11—24no—
57C23×C4×C11C2×C418yes—
58C23×C4×C11C2311yescharacteristic
59C23×C4×C11C2314yes—
60C23×C4×C11C2312yes—
61C23×C4×C11C2312yes—
62C23×C4×C11C2311yescharacteristic
63C23×Dic11—24no—
64C23×Dic11—24no—
65C23×Dic11—24no—
66C23×Dic11—24no—
67C23×Dic11—24no—
68C23×Dic11Q818yescomplemented
69C23×Dic11C2314yes—
70C23×Dic11C2312yes—
71C23×Dic11C2312yes—
72C23×Dic11C2311yescharacteristic
73C23×Dic11C2311yescharacteristic
74C23×Dic11C2314yes—
75C23×Dic11C2311yescharacteristic
76C23×Dic11C2311yescharacteristic
77C11×C22⋊Q8C2×C4164yescomplemented
78C2×C11×C4⋊C4C2×C418yescomplemented
79C2×C11×C4⋊C4C2×C4116yescomplemented
80C2×C11×C4⋊C4C2318yes—
81C2×C11×C4⋊C4C2314yes—
82C2×C11×C22⋊C4C2×C4116yes—
83C2×C11×C22⋊C4C2318yes—
84C2×C22⋊Dic11—28no—
85C2×C22⋊Dic11C2318yes—
86Q8×Dic11—232no—
87C2×C4⋊Dic11—24no—
88C2×C4⋊Dic11—24no—
89C2×C4⋊Dic11—28no—
90C2×C4⋊Dic11—28no—
91C2×C4⋊Dic11C2318yes—
92C2×C4⋊Dic11C2318yes—
93C2×C4⋊Dic11C2314yes—
94C2×C4⋊Dic11C2314yes—
95C2×C4×Dic11—24no—
96C2×C4×Dic11—24no—
97C2×C4×Dic11—24no—
98C2×C4×Dic11—28no—
99C2×C4×Dic11—28no—
100C2×C4×Dic11—232no—
101C2×C4×Dic11D418yes—
102C2×C4×Dic11C2314yes—
103C2×C4×Dic11C2314yes—
104C2×C4×Dic11C2314yes—
105C2×C4×Dic11C2318yes—
106C2×C4×Dic11C2318yes—
107C2×C4×Dic11C2314yes—
108C11⋊#95C2318yes—
109C11⋊#95C2318yes—
110C11⋊#95C2318yes—
111C11⋊#95C2318yes—
112C11⋊#95C2318yes—
113C2×C4×C22⋊Q8—111nomaximal, Sylow
114C24×C11—22no—
115C24×C11—22no—
116C24×C11—22no—
117C24×C11—22no—
118C24×C11C22×C414yes—
119C24×C11C2×Q814yes—
120C24×C11#4114yes—
121C24×C11C2412yes—
122C24×C11C2411yescharacteristic
123C2×Q8×C11—232no—
124C2×Q8×C11—28no—
125C2×Q8×C11—28no—
126C2×Q8×C11C22×C4116yescomplemented
127C22×C4×C11—22no—
128C22×C4×C11—24no—
129C22×C4×C11—24no—
130C22×C4×C11—24no—
131C22×C4×C11—22no—
132C22×C4×C11—24no—
133C22×C4×C11—232no—
134C22×C4×C11—28no—
135C22×C4×C11—28no—
136C22×C4×C11C22×C418yes—
137C22×C4×C11C22×C418yes—
138C22×C4×C11C22×C414yes—
139C22×C4×C11C22×C4116yes—
140C22×C4×C11C22×C414yes—
141C22×C4×C11C2×D414yes—
142C22×C4×C11#4114yes—
143C22×C4×C11C2412yes—
144C22×C4×C11C2414yes—
145C22×C4×C11C2414yes—
146C22×C4×C11C2412yes—
147C22×Dic11—232no—
148C22×Dic11—232no—
149C22×Dic11—28no—
150C22×Dic11—28no—
151C22×Dic11—28no—
152C22×Dic11—28no—
153C22×Dic11—22no—
154C22×Dic11—22no—
155C22×Dic11—24no—
156C22×Dic11—28no—
157C22×Dic11—22no—
158C22×Dic11—22no—
159C22×Dic11—22no—
160C22×Dic11—22no—
161C22×Dic11—24no—
162C22×Dic11—24no—
163C22×Dic11—24no—
164C22×Dic11—24no—
165C22×Dic11—24no—
166C22×Dic11C2×D414yes—
167C22×Dic11C2×D414yes—
168C22×Dic11C2×Q814yes—
169C22×Dic11C2×Q814yes—
170C22×Dic11C2×Q8116yescomplemented
171C22×Dic11#4114yes—
172C22×Dic11#4114yes—
173C22×Dic11C2414yes—
174C22×Dic11C2414yes—
175C22×Dic11C2412yes—
176C22×Dic11C2412yes—
177C22×Dic11C2412yes—
178C22×Dic11C2412yes—
179C11×C4⋊C4C22×C4116yescomplemented
180C11×C4⋊C4C22×C4132yescomplemented
181C11×C22⋊C4C22×C4132yes—
182C22⋊Dic11—216no—
183C4⋊Dic11—216no—
184C4⋊Dic11—216no—
185C4⋊Dic11—28no—
186C4⋊Dic11—28no—
187C4×Dic11—28no—
188C4×Dic11—28no—
189C4×Dic11—216no—
190C4×Dic11—216no—
191C4×Dic11—28no—
192C4×Dic11C2×D4116yes—
193C22×C22⋊Q8D1111yescharacteristic
194C22×C4×Q8—111no—
195C23×C42—111no—
196C4×C22⋊Q8—1116no—
197C2×#391—111no—
198C2×#389—111no—
199C2×#387—112no—
200C2×#385—112no—
201C2×#380—111no—
202C2×C4×C4⋊C4—111no—
203C2×C4×C4⋊C4—112no—
204C2×C4×C22⋊C4—112no—
205C23×C11—28no—
206C23×C11—28no—
207C23×C11—28no—
208C23×C11—28no—
209C23×C11—28no—
210C23×C11—28no—
211C23×C11—22no—
212C23×C11—22no—
213C23×C11—22no—
214C23×C11—22no—
215C23×C11C4×Q8116yescomplemented
216C23×C11C23×C414yes—
217C23×C11C23×C412yes—
218C23×C11C22×D412yes—
219C23×C11C22×Q814yes—
220C23×C11C22×Q812yes—
221C23×C11C2×#4112yes—
222C23×C11C2×#4114yes—
223C23×C11C2×#4112yes—
224C23×C11C2×#4112yes—
225C23×C11C2×#4112yes—
226C23×C11C2511yescharacteristic
227Q8×C11—232no—
228C2×C4×C11—28no—
229C2×C4×C11—216no—
230C2×C4×C11—216no—
231C2×C4×C11—22no—
232C2×C4×C11—24no—
233C2×C4×C11—24no—
234C2×C4×C11—24no—
235C2×C4×C11—22no—
236C2×C4×C11—24no—
237C2×C4×C11—232no—
238C2×C4×C11C4×D4116yes—
239C2×C4×C11C23×C418yes—
240C2×C4×C11C23×C418yes—
241C2×C4×C11C23×C414yes—
242C2×C4×C11C23×C414yes—
243C2×C4×C11C22×D414yes—
244C2×C4×C11C2×#4114yes—
245C2×Dic11—232no—
246C2×Dic11—28no—
247C2×Dic11—28no—
248C2×Dic11—28no—
249C2×Dic11—22no—
250C2×Dic11—22no—
251C2×Dic11—22no—
252C2×Dic11—22no—
253C2×Dic11—22no—
254C2×Dic11—22no—
255C2×Dic11—232no—
256C2×Dic11—24no—
257C2×Dic11—24no—
258C2×Dic11—24no—
259C2×Dic11—24no—
260C2×Dic11—24no—
261C2×Dic11—24no—
262C2×Dic11—48no—
263C2×Dic11—48no—
264C2×Dic11C22⋊Q8116yesdirect product factor
265C2×Dic11C22×D414yes—
266C2×Dic11C22×D414yes—
267C2×Dic11C22×Q814yes—
268C2×Dic11C22×Q814yes—
269C2×Dic11C2×#4114yes—
270C2×Dic11C2×#4114yes—
271C23×Q8C2×D1111yescharacteristic
272C24×C4—111no—
273C24×C4—111no—
274C24×C4C2×D1111yescharacteristic
275C2×C22⋊Q8Dic11116yesdirect product factor
276C2×C22⋊Q8C2×D1118yes—
277C2×C4×Q8—118no—
278C2×C4×Q8—228no—
279C22×C4⋊C4—111no—
280C22×C4⋊C4—112no—
281C22×C4⋊C4—111no—
282C22×C4⋊C4—112no—
283C22×C4⋊C4C2×D1112yes—
284C22×C4⋊C4C2×D1111yescharacteristic
285C22×C22⋊C4—112no—
286C22×C22⋊C4C2×D1112yes—
287C22×C42—111no—
288C22×C42—111no—
289C22×C42—111no—
290C22×C42—111no—
291C22×C42—118no—
292C22×C42—112no—
293C22×C42—112no—
294C22×C42—228no—
295#391—118no—
296#389—118no—
297#387—1116no—
298#385—1116no—
299#380—118no—
300C4×C4⋊C4—1116no—
301C4×C4⋊C4—118no—
302C4×C22⋊C4—1116no—
303C2×#95—112no—
304C2×#95—112no—
305C2×#95—112no—
306C2×#95—112no—
307C2×#95—112no—
308C22×C11—24no—
309C22×C11—24no—
310C22×C11—24no—
311C22×C11—24no—
312C22×C11—24no—
313C22×C11—24no—
314C22×C11—232no—
315C22×C11C2×C4×D414yes—
316C22×C11C2×C4×Q814yes—
317C22×C11C2×C4×Q818yescomplemented
318C22×C11C4×#4114yes—
319C22×C11C2×C22⋊Q814yes—
320C22×C11#52514yes—
321C22×C11#52914yes—
322C22×C11#53314yes—
323C22×C11C24×C411yescharacteristic
324C22×C11C23×D411yescharacteristic
325C22×C11C23×Q811yescharacteristic
326C22×C11C22×#4111yescharacteristic
327C22×C11C22×#4111yescharacteristic
328C22×C11C22×#4111yescharacteristic
329C22×C11C22×#4111yescharacteristic
330C4×C11—24no—
331C4×C11—28no—
332C4×C11—28no—
333C4×C11C2×C4×D418yes—
334Dic11—24no—
335Dic11—24no—
336Dic11—24no—
337Dic11—44no—
338Dic11—44no—
339Dic11C2×C22⋊Q818yesdirect product factor
340C25C22×D1111yescharacteristic
341C22×Q8—24no—
342C22×Q8—24no—
343C22×Q8C2×Dic1118yescomplemented
344C22×Q8C22×D1114yes—
345C23×C4—24no—
346C23×C4—24no—
347C23×C4—111no—
348C23×C4—118no—
349C23×C4—114no—
350C23×C4—111no—
351C23×C4—111no—
352C23×C4—111no—
353C23×C4—114no—
354C23×C4—112no—
355C23×C4—112no—
356C23×C4—224no—
357C23×C4—224no—
358C23×C4—224no—
359C23×C4—224no—
360C23×C4—224no—
361C23×C4C2×Dic1118yes—
362C23×C4C22×D1114yes—
363C23×C4C22×D1112yes—
364C23×C4C22×D1112yes—
365C23×C4C22×D1111yescharacteristic
366C23×C4C22×D1111yescharacteristic
367C22⋊Q8C2×Dic11164yesdirect product factor
368C4×Q8—2232no—
369C2×C4⋊C4—114no—
370C2×C4⋊C4—118no—
371C2×C4⋊C4—114no—
372C2×C4⋊C4—118no—
373C2×C4⋊C4—228no—
374C2×C4⋊C4—228no—
375C2×C4⋊C4—224no—
376C2×C4⋊C4—224no—
377C2×C4⋊C4C2×Dic1118yescomplemented
378C2×C4⋊C4C2×Dic11116yescomplemented
379C2×C4⋊C4C22×D1118yes—
380C2×C4⋊C4C22×D1114yes—
381C2×C22⋊C4—118no—
382C2×C22⋊C4—228no—
383C2×C22⋊C4C2×Dic11116yes—
384C2×C22⋊C4C22×D1118yes—
385C2×C42—118no—
386C2×C42—114no—
387C2×C42—118no—
388C2×C42—118no—
389C2×C42—114no—
390C2×C42—114no—
391C2×C42—114no—
392C2×C42—2232no—
393C2×C42—228no—
394C2×C42—228no—
395C2×C42—224no—
396C2×C42—224no—
397C2×C42—224no—
398#95—118no—
399#95—118no—
400#95—118no—
401#95—118no—
402#95—118no—
403C2×C11—28no—
404C2×C11C4×C22⋊Q818yescomplemented
405C2×C11C22×C4×D411yescharacteristic
406C2×C11C22×C4×Q811yescharacteristic
407C2×C11C2×C4×#4111yescharacteristic
408C2×C11C22×C22⋊Q811yescharacteristic
409C2×C11C2×#52511yescharacteristic
410C2×C11C2×#52911yescharacteristic
411C2×C11C2×#53311yescharacteristic
412C24—22no—
413C24—22no—
414C24—22no—
415C24—22no—
416C24Q8×D1114yes—
417C24#434314yes—
418C24C22×Dic1114yes—
419C24C23×D1112yes—
420C24C23×D1111yescharacteristic
421C2×Q8—232no—
422C2×Q8—28no—
423C2×Q8—28no—
424C2×Q8C22×Dic11116yescomplemented
425C22×C4—22no—
426C22×C4—24no—
427C22×C4—22no—
428C22×C4—24no—
429C22×C4—24no—
430C22×C4—24no—
431C22×C4—232no—
432C22×C4—28no—
433C22×C4—28no—
434C22×C4—114no—
435C22×C4—114no—
436C22×C4—114no—
437C22×C4—112no—
438C22×C4—114no—
439C22×C4—114no—
440C22×C4—1116no—
441C22×C4—114no—
442C22×C4—112no—
443C22×C4—112no—
444C22×C4—112no—
445C22×C4—114no—
446C22×C4—114no—
447C22×C4—228no—
448C22×C4—228no—
449C22×C4—2232no—
450C22×C4—228no—
451C22×C4—228no—
452C22×C4—2232no—
453C22×C4—222no—
454C22×C4—222no—
455C22×C4—228no—
456C22×C4—222no—
457C22×C4—222no—
458C22×C4—222no—
459C22×C4—222no—
460C22×C4—224no—
461C22×C4—224no—
462C22×C4—224no—
463C22×C4—224no—
464C22×C4—224no—
465C22×C4—224no—
466C22×C4D4×D1114yes—
467C22×C4#434114yes—
468C22×C4C22×Dic1118yes—
469C22×C4C22×Dic1118yes—
470C22×C4C22×Dic1114yes—
471C22×C4C22×Dic11116yes—
472C22×C4C22×Dic1114yes—
473C22×C4C23×D1112yes—
474C22×C4C23×D1114yes—
475C22×C4C23×D1114yes—
476C22×C4C23×D1112yes—
477C4⋊C4—2216no—
478C4⋊C4—2216no—
479C4⋊C4—228no—
480C4⋊C4—228no—
481C4⋊C4C22×Dic11116yescomplemented
482C4⋊C4C22×Dic11132yescomplemented
483C22⋊C4—2216no—
484C22⋊C4C22×Dic11132yes—
485C42—1116no—
486C42—228no—
487C42—228no—
488C42—2216no—
489C42—2216no—
490C42—228no—
491C11C2×C4×C22⋊Q811yescharacteristic, complemented, Sylow
492C23—28no—
493C23—28no—
494C23—28no—
495C23—28no—
496C23—28no—
497C23—28no—
498C23—22no—
499C23—22no—
500C23—22no—
501C23—22no—
502C23Q8×Dic11116yescomplemented
503C23C2×D4×D1112yes—
504C23C2×#434112yes—
505C23C2×Q8×D1114yes—
506C23C2×Q8×D1112yes—
507C23C2×#434314yes—
508C23C2×#434312yes—
509C23#41×D1112yes—
510C23#41×D1112yes—
511C23C23×Dic1114yes—
512C23C23×Dic1112yes—
513C23C24×D1111yescharacteristic
514Q8—232no—
515C2×C4—28no—
516C2×C4—216no—
517C2×C4—216no—
518C2×C4—22no—
519C2×C4—24no—
520C2×C4—22no—
521C2×C4—24no—
522C2×C4—24no—
523C2×C4—24no—
524C2×C4—232no—
525C2×C4—1116no—
526C2×C4—114no—
527C2×C4—114no—
528C2×C4—114no—
529C2×C4—114no—
530C2×C4—114no—
531C2×C4—114no—
532C2×C4—2232no—
533C2×C4—2232no—
534C2×C4—228no—
535C2×C4—228no—
536C2×C4—228no—
537C2×C4—222no—
538C2×C4—222no—
539C2×C4—222no—
540C2×C4—222no—
541C2×C4—222no—
542C2×C4—222no—
543C2×C4—224no—
544C2×C4—224no—
545C2×C4—224no—
546C2×C4—224no—
547C2×C4—224no—
548C2×C4—224no—
549C2×C4—448no—
550C2×C4—448no—
551C2×C4D4×Dic11116yes—
552C2×C4C2×D4×D1114yes—
553C2×C4C2×#434114yes—
554C2×C4C23×Dic1118yes—
555C2×C4C23×Dic1118yes—
556C2×C4C23×Dic1114yes—
557C2×C4C23×Dic1114yes—
558C22—24no—
559C22—24no—
560C22—24no—
561C22—232no—
562C22—24no—
563C22—24no—
564C22—24no—
565C22#1062315314yes—
566C22#1062315514yes—
567C22D11×C22⋊Q814yes—
568C22#1062315814yes—
569C22C2×D4×Dic1114yes—
570C22C2×Q8×Dic1114yes—
571C22C2×Q8×Dic1118yescomplemented
572C22#41×Dic1114yes—
573C22C22×D4×D1111yescharacteristic
574C22C22×#434111yescharacteristic
575C22C22×Q8×D1111yescharacteristic
576C22C22×#434311yescharacteristic
577C22C2×#41×D1111yescharacteristic
578C22C2×#41×D1111yescharacteristic
579C22C24×Dic1111yescharacteristic
580C4—24no—
581C4—28no—
582C4—28no—
583C4—118no—
584C4—224no—
585C4—224no—
586C4—224no—
587C4—444no—
588C4—444no—
589C4C2×D4×Dic1118yes—
590C2—28no—
591C2C22⋊Q8×Dic1118yesdirect product factor
592C2C22×D4×Dic1111yescharacteristic
593C2C22×Q8×Dic1111yescharacteristic
594C2C2×#41×Dic1111yescharacteristic
595C2C2×D11×C22⋊Q811yescharacteristic
596C2C2×#1062315811yescharacteristic
597C2C2×#1062315511yescharacteristic
598C2C2×#1062315311yescharacteristic
subgroupG/H
centerC24C23×D11
commutatorC22×C11C24×C4
FrattiniC23C24×D11
FittingC22×C11×C22⋊Q8C2
socleC24×C11C24
prime radicalC25×C11C23
cosocleC23×C11C25
hypercenterC22×C22⋊Q8D11
hypocenterC11C2×C4×C22⋊Q8
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C24 ◁ C22×C22⋊Q8

Complements

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

NH ≅ G/Ntype
1. C22×Q8×Dic11C2semidirect
3. C22⋊Q8×Dic11C2direct (N × H)
4. C2×#10622843C2semidirect
5. C2×#10622598C2semidirect
6. C2×#10622594C2semidirect
9. C2×C4⋊C4×Dic11C2semidirect
10. C2×C4⋊C4×Dic11C2semidirect
17. C2×C11×C22⋊Q8C4semidirect
24. C2×Q8×Dic11C22semidirect
37. #10622843C22semidirect
44. #10622598C22semidirect
45. #10622594C22semidirect
46. C4⋊C4×Dic11C22semidirect
47. C4⋊C4×Dic11C22semidirect
53. C22×Q8×C11C2×C4semidirect
68. C23×Dic11Q8semidirect
77. C11×C22⋊Q8C2×C4semidirect
78. C2×C11×C4⋊C4C2×C4semidirect
79. C2×C11×C4⋊C4C2×C4semidirect
126. C2×Q8×C11C22×C4semidirect
170. C22×Dic11C2×Q8semidirect
179. C11×C4⋊C4C22×C4semidirect
180. C11×C4⋊C4C22×C4semidirect
215. C23×C11C4×Q8semidirect
264. C2×Dic11C22⋊Q8direct (N × H)
275. C2×C22⋊Q8Dic11direct (N × H)
317. C22×C11C2×C4×Q8semidirect
339. Dic11C2×C22⋊Q8direct (N × H)
343. C22×Q8C2×Dic11semidirect
367. C22⋊Q8C2×Dic11direct (N × H)
377. C2×C4⋊C4C2×Dic11semidirect
378. C2×C4⋊C4C2×Dic11semidirect
404. C2×C11C4×C22⋊Q8semidirect
424. C2×Q8C22×Dic11semidirect
481. C4⋊C4C22×Dic11semidirect
482. C4⋊C4C22×Dic11semidirect
491. C11C2×C4×C22⋊Q8semidirect
502. C23Q8×Dic11semidirect
571. C22C2×Q8×Dic11semidirect
591. C2C22⋊Q8×Dic11direct (N × H)

Maximal subgroups

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

subgroupindex
C22×Q8×Dic112
C23×C4×Dic112
C22⋊Q8×Dic112
C2×#106228432
C2×#106225982
C2×#106225942
C2×#106225632
C2×#106228252
C2×C4⋊C4×Dic112
C2×C22⋊C4×Dic112
C22×C11×C22⋊Q82
C2×C4×C22⋊Q811