Finite Group Databasebeta

← C2×#11727670 #13357373

Subgroups — C2×#11727670 #13357373

Order 1792.

2158 conjugacy classes of subgroups.

The subgroup lattice has 642 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C4×C22⋊D7C211yesmaximal, characteristic
2C22×C7×C22⋊C8C211yesmaximal, characteristic, complemented
3C22×C22⋊(C7⋊C8)C211yesmaximal, characteristic, complemented
4C22×(C2×D7)⋊C8C211yesmaximal, characteristic, complemented
5C22×(C2×D7)⋊C8C211yesmaximal, characteristic, complemented
6C22×Dic7⋊C8C211yesmaximal, characteristic, complemented
7C22×C8×Dic7C211yesmaximal, characteristic, complemented
8#11727670C218yesmaximal, direct product factor
9C24×C4×C7C2211yescharacteristic
10C23×C22⋊D7C411yescharacteristic
11C23×C4×D7C2211yescharacteristic
12C23×C7×C8C2211yescharacteristic
13C23×C7×C8C2211yescharacteristic
14C22×C22⋊Dic7C411yescharacteristic
15C2×C4×C22⋊D7—24no—
16C2×C4×C22⋊D7—24no—
17C2×C4×C22⋊D7C414yes—
18C2×C4×C22⋊D7C2214yes—
19C22×(C2×D7)⋊C4C411yescharacteristic
20C22×Dic7⋊C4C411yescharacteristic
21C22×C4×Dic7C2211yescharacteristic
22C23×C7⋊C8C2211yescharacteristic
23C23×C7⋊C8C2211yescharacteristic
24C2×C7×C22⋊C8—24no—
25C2×C7×C22⋊C8C2214yescomplemented
26C2×C22⋊(C7⋊C8)—24no—
27C2×C22⋊(C7⋊C8)C2214yescomplemented
28C2×(C2×D7)⋊C8—24no—
29C2×(C2×D7)⋊C8—24no—
30C2×(C2×D7)⋊C8C2214yescomplemented
31C2×(C2×D7)⋊C8C2214yescomplemented
32C2×Dic7⋊C8—24no—
33C2×Dic7⋊C8C2214yescomplemented
34C2×C8×Dic7—24no—
35C2×C8×Dic7C2214yescomplemented
36C2×#1954—71nomaximal, Sylow
37C25×C7C2×C411yescharacteristic
38C24×D7C2×C411yescharacteristic
39C23×C4×C7—22no—
40C23×C4×C7—22no—
41C23×C4×C7—22no—
42C23×C4×C7—22no—
43C23×C4×C7—22no—
44C23×C4×C7—22no—
45C23×C4×C7C2×C411yescharacteristic
46C23×C4×C7C2×C412yes—
47C23×C4×C7C2312yes—
48C23×C4×C7C2311yescharacteristic
49C22×C22⋊D7—24no—
50C22×C22⋊D7—24no—
51C22×C22⋊D7C818yescomplemented
52C22×C22⋊D7C2×C414yes—
53C23×Dic7C2×C411yescharacteristic
54C23×Dic7C2×C411yescharacteristic
55C23×Dic7C2×C411yescharacteristic
56C22×C4×D7—22no—
57C22×C4×D7—22no—
58C22×C4×D7—22no—
59C22×C4×D7—22no—
60C22×C4×D7—22no—
61C22×C4×D7—22no—
62C22×C4×D7C2×C412yes—
63C22×C4×D7C2312yes—
64C22×C7×C8—22no—
65C22×C7×C8—22no—
66C22×C7×C8—22no—
67C22×C7×C8—22no—
68C22×C7×C8—22no—
69C22×C7×C8D414yescomplemented
70C22×C7×C8C2312yes—
71C22×C7×C8C2312yes—
72C2×C22⋊Dic7—24no—
73C2×C22⋊Dic7C2×C414yes—
74C4×C22⋊D7—216no—
75C4×C22⋊D7—28no—
76C4×C22⋊D7—28no—
77C2×(C2×D7)⋊C4—24no—
78C2×(C2×D7)⋊C4C2×C414yes—
79C2×Dic7⋊C4—24no—
80C2×Dic7⋊C4C2×C414yes—
81C2×C4×Dic7C2×C412yes—
82C2×C4×Dic7D414yes—
83C2×C4×Dic7D414yes—
84C2×C4×Dic7C2312yes—
85C22×C7⋊C8—22no—
86C22×C7⋊C8—22no—
87C22×C7⋊C8—22no—
88C22×C7⋊C8—22no—
89C22×C7⋊C8—22no—
90C22×C7⋊C8D414yescomplemented
91C22×C7⋊C8C2312yes—
92C22×C7⋊C8C2312yes—
93C7×C22⋊C8—28no—
94C22⋊(C7⋊C8)—28no—
95(C2×D7)⋊C8—28no—
96(C2×D7)⋊C8—28no—
97Dic7⋊C8—28no—
98C8×Dic7—28no—
99C22×C4×D4—71no—
100C22×C4⋊C8—71no—
101C22×C22⋊C8—71no—
102C22×C22⋊C8—71no—
103C22×C22⋊C8—71no—
104C22×C22⋊C8D711yescharacteristic, complemented
105C22×C4×C8—71no—
106#1954—78no—
107C24×C7—22no—
108C24×C7—22no—
109C24×C7—22no—
110C24×C7—22no—
111C24×C7—22no—
112C24×C7—22no—
113C24×C7C2×C814yes—
114C24×C7C22×C412yes—
115C24×C7C22×C411yescharacteristic
116C23×D7—22no—
117C23×D7—22no—
118C23×D7—22no—
119C23×D7—22no—
120C23×D7—22no—
121C23×D7—22no—
122C23×D7C2×C814yes—
123C23×D7C22×C412yes—
124C22×C4×C7—22no—
125C22×C4×C7—22no—
126C22×C4×C7—22no—
127C22×C4×C7—24no—
128C22×C4×C7—24no—
129C22×C4×C7—24no—
130C22×C4×C7—22no—
131C22×C4×C7—22no—
132C22×C4×C7—22no—
133C22×C4×C7—22no—
134C22×C4×C7—22no—
135C22×C4×C7—22no—
136C22×C4×C7—44no—
137C22×C4×C7—44no—
138C22×C4×C7—44no—
139C22×C4×C7—44no—
140C22×C4×C7C22×C412yes—
141C22×C4×C7C22×C411yescharacteristic
142C22×C4×C7C2×D412yes—
143C22×C4×C7C2×D412yes—
144C22×C4×C7C2×D412yes—
145C22×C4×C7C2×D412yes—
146C22×C4×C7#4112yes—
147C22×C4×C7#4112yes—
148C22×C4×C7C2411yescharacteristic
149C2×C22⋊D7—232no—
150C2×C22⋊D7—28no—
151C2×C22⋊D7—28no—
152C2×C22⋊D7C2×C8116yescomplemented
153C22×Dic7—22no—
154C22×Dic7—22no—
155C22×Dic7—22no—
156C22×Dic7—22no—
157C22×Dic7—22no—
158C22×Dic7C22⋊C414yes—
159C22×Dic7C22⋊C414yes—
160C22×Dic7C2×C814yes—
161C22×Dic7M1614yes—
162C22×Dic7C22×C412yes—
163C22×Dic7C22×C412yes—
164C22×Dic7C22×C412yes—
165C2×C4×D7—24no—
166C2×C4×D7—24no—
167C2×C4×D7—24no—
168C2×C4×D7—22no—
169C2×C4×D7—22no—
170C2×C4×D7—22no—
171C2×C4×D7—22no—
172C2×C4×D7—22no—
173C2×C4×D7—22no—
174C2×C4×D7—44no—
175C2×C4×D7—44no—
176C2×C4×D7—44no—
177C2×C4×D7—44no—
178C2×C7×C8—28no—
179C2×C7×C8—22no—
180C2×C7×C8—22no—
181C2×C7×C8—22no—
182C2×C7×C8—22no—
183C2×C7×C8—22no—
184C2×C7×C8—44no—
185C2×C7×C8C2×D414yescomplemented
186C22⋊Dic7—28no—
187(C2×D7)⋊C4—28no—
188Dic7⋊C4—28no—
189C4×Dic7C22⋊C418yes—
190C4×Dic7C2×D414yes—
191C4×Dic7C2×D414yes—
192C2×C7⋊C8—28no—
193C2×C7⋊C8—22no—
194C2×C7⋊C8—22no—
195C2×C7⋊C8—22no—
196C2×C7⋊C8—22no—
197C2×C7⋊C8—22no—
198C2×C7⋊C8—44no—
199C2×C7⋊C8C2×D414yescomplemented
200C23×D4—71no—
201C24×C4—71no—
202C24×C4C2×D711yescharacteristic
203C23×C8—71no—
204C23×C8—71no—
205C23×C8C2×D711yescharacteristic
206C23×C8C2×D711yescharacteristic
207C2×C4×D4—74no—
208C2×C4×D4—74no—
209C2×C4×D4—144no—
210C2×C4×D4—144no—
211C22×C4⋊C4—71no—
212C22×C22⋊C4—71no—
213C22×C22⋊C4—71no—
214C22×C42—71no—
215C2×C4⋊C8—74no—
216C2×C4⋊C8—144no—
217C2×C22⋊C8—24no—
218C2×C22⋊C8—74no—
219C2×C22⋊C8—74no—
220C2×C22⋊C8—74no—
221C2×C22⋊C8—144no—
222C2×C22⋊C8—144no—
223C2×C22⋊C8—144no—
224C2×C22⋊C8C2×D714yescomplemented
225C2×C4×C8—74no—
226C2×C4×C8—144no—
227C23×C7—22no—
228C23×C7—22no—
229C23×C7—22no—
230C23×C7—22no—
231C23×C7—22no—
232C23×C7—22no—
233C23×C7—28no—
234C23×C7—28no—
235C23×C7—28no—
236C23×C7—44no—
237C23×C7—44no—
238C23×C7—44no—
239C23×C7—44no—
240C23×C7C2×C22⋊C412yes—
241C23×C7C4×D412yes—
242C23×C7C4×D412yes—
243C23×C7C22×C814yes—
244C23×C7C22×C812yes—
245C23×C7C2×M1612yes—
246C23×C7#13112yes—
247C23×C7#13112yes—
248C23×C7C23×C411yescharacteristic
249C22×D7—22no—
250C22×D7—22no—
251C22×D7—22no—
252C22×D7—22no—
253C22×D7—22no—
254C22×D7—22no—
255C22×D7—28no—
256C22×D7—28no—
257C22×D7—28no—
258C22×D7—44no—
259C22×D7—44no—
260C22×D7—44no—
261C22×D7—44no—
262C22×D7C22×C814yes—
263C2×C4×C7—22no—
264C2×C4×C7—22no—
265C2×C4×C7—22no—
266C2×C4×C7—44no—
267C2×C4×C7—42no—
268C2×C4×C7—42no—
269C2×C4×C7—42no—
270C2×C4×C7—42no—
271C2×C4×C7—48no—
272C2×C4×C7C2×C22⋊C412yes—
273C2×C4×C7C4×D412yes—
274C2×C4×C7C4×D412yes—
275C2×C4×C7#12114yes—
276C2×C4×C7#12114yes—
277C2×C4×C7#12414yes—
278C2×C4×C7#12714yes—
279C2×C4×C7C22×D411yescharacteristic
280C2×C4×C7C22×D411yescharacteristic
281C2×C4×C7C22×D411yescharacteristic
282C2×C4×C7C22×D411yescharacteristic
283C2×C4×C7C2×#4111yescharacteristic
284C2×C4×C7C2×#4111yescharacteristic
285C22⋊D7—232no—
286C2×Dic7—22no—
287C2×Dic7—22no—
288C2×Dic7—28no—
289C2×Dic7—22no—
290C2×Dic7—22no—
291C2×Dic7—22no—
292C2×Dic7—44no—
293C2×Dic7C22⋊C8116yescomplemented
294C2×Dic7C2×C22⋊C414yes—
295C2×Dic7C2×C22⋊C414yes—
296C2×Dic7C22×C814yes—
297C2×Dic7C2×M1614yes—
298C4×D7—42no—
299C4×D7—42no—
300C4×D7—42no—
301C4×D7—42no—
302C4×D7—48no—
303C7×C8—24no—
304C7×C8—42no—
305C7⋊C8—24no—
306C7⋊C8—42no—
307C25—71no—
308C25C4×D711yescharacteristic
309C22×D4—78no—
310C22×D4—74no—
311C22×D4—144no—
312C22×D4—144no—
313C23×C4—22no—
314C23×C4—22no—
315C23×C4—22no—
316C23×C4—22no—
317C23×C4—22no—
318C23×C4—22no—
319C23×C4—71no—
320C23×C4—71no—
321C23×C4—71no—
322C23×C4—72no—
323C23×C4—72no—
324C23×C4—142no—
325C23×C4—142no—
326C23×C4—142no—
327C23×C4—142no—
328C23×C4—142no—
329C23×C4—142no—
330C23×C4C4×D711yescharacteristic
331C23×C4C4×D712yes—
332C23×C4C22×D712yes—
333C23×C4C22×D711yescharacteristic
334C22×C8—22no—
335C22×C8—22no—
336C22×C8—22no—
337C22×C8—22no—
338C22×C8—22no—
339C22×C8—74no—
340C22×C8—72no—
341C22×C8—72no—
342C22×C8—142no—
343C22×C8—142no—
344C22×C8—142no—
345C22×C8—142no—
346C22×C8—142no—
347C22×C8C22⋊D714yescomplemented
348C22×C8C22×D712yes—
349C22×C8C22×D712yes—
350C4×D4—1416no—
351C4×D4—148no—
352C4×D4—148no—
353C2×C4⋊C4—74no—
354C2×C4⋊C4—144no—
355C2×C22⋊C4—74no—
356C2×C22⋊C4—74no—
357C2×C22⋊C4—144no—
358C2×C22⋊C4—144no—
359C2×C42—72no—
360C2×C42—74no—
361C2×C42—74no—
362C2×C42—72no—
363C4⋊C8—148no—
364C22⋊C8—28no—
365C22⋊C8—148no—
366C22⋊C8—148no—
367C22⋊C8—148no—
368C4×C8—148no—
369C22×C7—24no—
370C22×C7—24no—
371C22×C7—24no—
372C22×C7—42no—
373C22×C7—42no—
374C22×C7—42no—
375C22×C7—416no—
376C22×C7—42no—
377C22×C7#39014yes—
378C22×C7C2×C22⋊C814yes—
379C22×C7#40814yes—
380C22×C7C8×D414yes—
381C22×C7C8×D414yes—
382C22×C7#43614yes—
383C22×C7#43614yes—
384C22×C7C22×C22⋊C411yescharacteristic
385C22×C7C2×C4×D411yescharacteristic
386C22×C7C2×C4×D411yescharacteristic
387C22×C7C23×C811yescharacteristic
388C22×C7C22×M1611yescharacteristic
389C22×C7C2×#13111yescharacteristic
390C22×C7C2×#13111yescharacteristic
391C2×D7—24no—
392C2×D7—24no—
393C2×D7—24no—
394C2×D7—42no—
395C2×D7—42no—
396C2×D7—42no—
397C2×D7—416no—
398C2×D7—42no—
399C4×C7—42no—
400C4×C7#39014yes—
401C4×C7C2×#12111yescharacteristic
402C4×C7C2×#12111yescharacteristic
403C4×C7C2×#12411yescharacteristic
404C4×C7C2×#12711yescharacteristic
405Dic7—24no—
406Dic7—42no—
407Dic7C2×C22⋊C818yescomplemented
408C24—22no—
409C24—22no—
410C24—22no—
411C24—22no—
412C24—22no—
413C24—22no—
414C24—74no—
415C24—72no—
416C24—142no—
417C24—142no—
418C24—142no—
419C24—142no—
420C24—142no—
421C24—142no—
422C24C8×D714yes—
423C24C2×C4×D712yes—
424C24C2×C4×D711yescharacteristic
425C2×D4—716no—
426C2×D4—148no—
427C2×D4—148no—
428C2×D4—1432no—
429C22×C4—22no—
430C22×C4—22no—
431C22×C4—22no—
432C22×C4—24no—
433C22×C4—24no—
434C22×C4—24no—
435C22×C4—22no—
436C22×C4—22no—
437C22×C4—22no—
438C22×C4—22no—
439C22×C4—22no—
440C22×C4—22no—
441C22×C4—44no—
442C22×C4—44no—
443C22×C4—44no—
444C22×C4—44no—
445C22×C4—74no—
446C22×C4—74no—
447C22×C4—74no—
448C22×C4—72no—
449C22×C4—74no—
450C22×C4—72no—
451C22×C4—72no—
452C22×C4—142no—
453C22×C4—142no—
454C22×C4—142no—
455C22×C4—142no—
456C22×C4—142no—
457C22×C4—144no—
458C22×C4—144no—
459C22×C4—144no—
460C22×C4—142no—
461C22×C4—142no—
462C22×C4—142no—
463C22×C4—142no—
464C22×C4—142no—
465C22×C4—142no—
466C22×C4—284no—
467C22×C4—284no—
468C22×C4—284no—
469C22×C4—284no—
470C22×C4C2×C4×D712yes—
471C22×C4C2×C4×D711yescharacteristic
472C22×C4#115712yes—
473C22×C4D4×D712yes—
474C22×C4D4×D712yes—
475C22×C4D4×D712yes—
476C22×C4#115912yes—
477C22×C4C2×C22⋊D712yes—
478C22×C4C23×D711yescharacteristic
479C2×C8—28no—
480C2×C8—22no—
481C2×C8—22no—
482C2×C8—22no—
483C2×C8—22no—
484C2×C8—22no—
485C2×C8—44no—
486C2×C8—74no—
487C2×C8—148no—
488C2×C8—142no—
489C2×C8—142no—
490C2×C8—142no—
491C2×C8—142no—
492C2×C8—142no—
493C2×C8—284no—
494C2×C8C2×C22⋊D714yescomplemented
495C4⋊C4—148no—
496C22⋊C4—148no—
497C22⋊C4—148no—
498C42—78no—
499C42—74no—
500C42—74no—
501C2×C7—44no—
502C2×C7#195418yescomplemented
503C2×C7C2×#39011yescharacteristic
504C2×C7C22×C22⋊C811yescharacteristic
505C2×C7C2×#40811yescharacteristic
506C2×C7C2×C8×D411yescharacteristic
507C2×C7C2×C8×D411yescharacteristic
508C2×C7C2×#43611yescharacteristic
509C2×C7C2×#43611yescharacteristic
510D7—44no—
511C23—28no—
512C23—22no—
513C23—22no—
514C23—22no—
515C23—22no—
516C23—22no—
517C23—22no—
518C23—28no—
519C23—28no—
520C23—44no—
521C23—44no—
522C23—44no—
523C23—44no—
524C23—74no—
525C23—148no—
526C23—142no—
527C23—142no—
528C23—142no—
529C23—142no—
530C23—142no—
531C23—142no—
532C23—148no—
533C23—148no—
534C23—284no—
535C23—284no—
536C23—284no—
537C23—284no—
538C23D7×C22⋊C412yes—
539C23(C22⋊D7)⋊C412yes—
540C23C2×C8×D714yes—
541C23C2×C8×D712yes—
542C23#646412yes—
543C23D7×M1612yes—
544C23#647012yes—
545C23C4×C22⋊D712yes—
546C23C22×C4×D711yescharacteristic
547D4—1432no—
548C2×C4—22no—
549C2×C4—22no—
550C2×C4—22no—
551C2×C4—44no—
552C2×C4—42no—
553C2×C4—42no—
554C2×C4—42no—
555C2×C4—42no—
556C2×C4—48no—
557C2×C4—74no—
558C2×C4—74no—
559C2×C4—74no—
560C2×C4—716no—
561C2×C4—74no—
562C2×C4—142no—
563C2×C4—142no—
564C2×C4—148no—
565C2×C4—142no—
566C2×C4—142no—
567C2×C4—142no—
568C2×C4—284no—
569C2×C4—282no—
570C2×C4—282no—
571C2×C4—282no—
572C2×C4—282no—
573C2×C4—288no—
574C2×C4D7×C22⋊C412yes—
575C2×C4(C22⋊D7)⋊C412yes—
576C2×C4#644714yes—
577C2×C4#644814yes—
578C2×C4C4×C22⋊D712yes—
579C2×C4#650214yes—
580C2×C4#650314yes—
581C2×C4C2×#115711yescharacteristic
582C2×C4C2×D4×D711yescharacteristic
583C2×C4C2×D4×D711yescharacteristic
584C2×C4C2×D4×D711yescharacteristic
585C2×C4C2×#115911yescharacteristic
586C2×C4C22×C22⋊D711yescharacteristic
587C8—24no—
588C8—42no—
589C8—144no—
590C8—282no—
591C7C2×#195411yescharacteristic, complemented, Sylow
592C22—24no—
593C22—24no—
594C22—24no—
595C22—42no—
596C22—416no—
597C22—42no—
598C22—42no—
599C22—42no—
600C22—144no—
601C22—144no—
602C22—144no—
603C22—282no—
604C22—2816no—
605C22—282no—
606C22—282no—
607C22—282no—
608C22D7×C22⋊C814yes—
609C22(C22⋊D7)⋊C814yes—
610C22#8949914yes—
611C22#8950114yes—
612C22#8972914yes—
613C22C8×C22⋊D714yes—
614C22#8990014yes—
615C22C2×D7×C22⋊C411yescharacteristic
616C22C2×(C22⋊D7)⋊C411yescharacteristic
617C22C22×C8×D711yescharacteristic
618C22C2×#646411yescharacteristic
619C22C2×D7×M1611yescharacteristic
620C22C2×#647011yescharacteristic
621C22C2×C4×C22⋊D711yescharacteristic
622C4—42no—
623C4—78no—
624C4—144no—
625C4—282no—
626C4#8972914yes—
627C4C2×#644711yescharacteristic
628C4C2×#644811yescharacteristic
629C4C2×#650211yescharacteristic
630C4C2×#650311yescharacteristic
631C2—44no—
632C2—284no—
633C2#1172767018yesdirect product factor
634C2C2×(C22⋊D7)⋊C811yescharacteristic
635C2C2×#8950111yescharacteristic
636C2C2×D7×C22⋊C811yescharacteristic
637C2C2×#8949911yescharacteristic
638C2C2×#8972911yescharacteristic
639C2C2×C8×C22⋊D711yescharacteristic
640C2C2×#8990011yescharacteristic
subgroupG/H
centerC23×C4C22×D7
commutatorC22×C7C23×C8
FrattiniC22×C4C23×D7
FittingC22×C7×C22⋊C8C2
socleC24×C7C22×C4
prime radicalC23×C22⋊D7C4
cosocleC22×C4×C7C24
hypercenterC22×C22⋊C8D7
hypocenterC7C2×#1954
LCSG ▷ C22×C7 ▷ C7
UCSC1 ◁ C23×C4 ◁ C22×C22⋊C8

Complements

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

NH ≅ G/Ntype
2. C22×C7×C22⋊C8C2semidirect
3. C22×C22⋊(C7⋊C8)C2semidirect
4. C22×(C2×D7)⋊C8C2semidirect
5. C22×(C2×D7)⋊C8C2semidirect
6. C22×Dic7⋊C8C2semidirect
7. C22×C8×Dic7C2semidirect
8. #11727670C2direct (N × H)
25. C2×C7×C22⋊C8C22semidirect
27. C2×C22⋊(C7⋊C8)C22semidirect
30. C2×(C2×D7)⋊C8C22semidirect
31. C2×(C2×D7)⋊C8C22semidirect
33. C2×Dic7⋊C8C22semidirect
35. C2×C8×Dic7C22semidirect
51. C22×C22⋊D7C8semidirect
69. C22×C7×C8D4semidirect
90. C22×C7⋊C8D4semidirect
104. C22×C22⋊C8D7semidirect
152. C2×C22⋊D7C2×C8semidirect
185. C2×C7×C8C2×D4semidirect
199. C2×C7⋊C8C2×D4semidirect
224. C2×C22⋊C8C2×D7semidirect
293. C2×Dic7C22⋊C8semidirect
347. C22×C8C22⋊D7semidirect
407. Dic7C2×C22⋊C8semidirect
494. C2×C8C2×C22⋊D7semidirect
502. C2×C7#1954semidirect
591. C7C2×#1954semidirect
633. C2#11727670direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C4×C22⋊D72
C22×C7×C22⋊C82
C22×C22⋊(C7⋊C8)2
C22×(C2×D7)⋊C82
C22×Dic7⋊C82
C22×C8×Dic72
#117276702
C2×#19547