Finite Group Databasebeta

← C4×#17985934 #31919279

Subgroups — C4×#17985934 #31919279

Order 18176.

1966 conjugacy classes of subgroups.

The subgroup lattice has 672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17985934C211yesmaximal, characteristic
2C2×C4×Dic71⋊C4C212yesmaximal, complemented
3C2×C4×(C2×D71)⋊C4C212yesmaximal
4C2×C4×(C2×D71)⋊C4C211yesmaximal, characteristic
5#22586608C211yesmaximal, characteristic, complemented
6#22586606C212yesmaximal, complemented
7#22586603C211yesmaximal, characteristic, complemented
8#22586584C212yesmaximal
9#22586582C211yesmaximal, characteristic
10C4×C71⋊#95C211yesmaximal, characteristic, complemented
11C2×C4×C4⋊C4×C71C211yesmaximal, characteristic, complemented
12C23×C4×D71C2211yescharacteristic
13C22×Dic71⋊C4C2212yes—
14C22×Dic71⋊C4C2212yes—
15C22×(C2×D71)⋊C4C2212yes—
16C22×(C2×D71)⋊C4C2211yescharacteristic
17C22×(C2×D71)⋊C4C2211yescharacteristic
18C22×(C2×D71)⋊C4C2212yes—
19C22×C4×Dic71C2211yescharacteristic
20C22×C4×Dic71C2212yes—
21#17985934C418yesdirect product factor
22C4×Dic71⋊C4—28no—
23C4×(C2×D71)⋊C4—28no—
24C4×(C2×D71)⋊C4—24no—
25C2×C71⋊#95C2211yescharacteristic
26C2×C71⋊#95C2212yes—
27C2×C71⋊#95C2212yes—
28C2×C71⋊#95C2211yescharacteristic
29C2×C71⋊#95C2211yescharacteristic
30C2×C71⋊#95C2212yes—
31C2×C71⋊#95C2212yes—
32C2×C71⋊#95C2212yes—
33C2×C71⋊#95C2211yescharacteristic
34C22×C4⋊C4×C71C2211yescharacteristic
35C22×C4⋊C4×C71C2211yescharacteristic
36C22×C42×C71C2212yes—
37C22×C42×C71C2211yescharacteristic
38C4×C4⋊C4×C71—24no—
39C2×#95×C71C2212yes—
40C24×D71C2311yescharacteristic
41C23×Dic71C2311yescharacteristic
42C23×Dic71C2312yes—
43C23×Dic71C2311yescharacteristic
44C23×Dic71C2311yescharacteristic
45C23×Dic71C2312yes—
46C22×C4×D71—24no—
47C22×C4×D71—22no—
48C22×C4×D71—24no—
49C22×C4×D71—22no—
50C22×C4×D71Q814yes—
51C2×Dic71⋊C4—24no—
52C2×Dic71⋊C4—24no—
53C2×Dic71⋊C4—24no—
54C2×Dic71⋊C4—24no—
55C2×Dic71⋊C4—24no—
56C2×Dic71⋊C4C2×C418yescomplemented
57C2×(C2×D71)⋊C4—24no—
58C2×(C2×D71)⋊C4—22no—
59C2×(C2×D71)⋊C4—24no—
60C2×(C2×D71)⋊C4—24no—
61C2×(C2×D71)⋊C4—22no—
62C2×(C2×D71)⋊C4—24no—
63C2×(C2×D71)⋊C4—22no—
64C2×(C2×D71)⋊C4—22no—
65C2×(C2×D71)⋊C4—24no—
66C2×(C2×D71)⋊C4—22no—
67C2×(C2×D71)⋊C4C2×C418yes—
68C2×(C2×D71)⋊C4C2×C414yes—
69C2×C4×Dic71—22no—
70C2×C4×Dic71—24no—
71C2×C4×Dic71—24no—
72C2×C4×Dic71—24no—
73C2×C4×Dic71D418yes—
74C71⋊#95—24no—
75C71⋊#95—24no—
76C71⋊#95—24no—
77C71⋊#95—24no—
78C71⋊#95—24no—
79C71⋊#95—22no—
80C71⋊#95—22no—
81C71⋊#95—22no—
82C71⋊#95C2×C414yescomplemented
83C23×C4×C71C2312yes—
84C23×C4×C71C2311yescharacteristic
85C23×C4×C71C2312yes—
86C23×C4×C71C2311yescharacteristic
87C23×C4×C71C2311yescharacteristic
88C2×C4⋊C4×C71—22no—
89C2×C4⋊C4×C71—22no—
90C2×C4⋊C4×C71—24no—
91C2×C4⋊C4×C71—22no—
92C2×C4⋊C4×C71C2×C414yescomplemented
93C2×C42×C71—24no—
94C2×C42×C71—24no—
95C2×C42×C71—24no—
96C2×C42×C71—24no—
97C2×C42×C71D414yes—
98#95×C71—24no—
99C23×D71—22no—
100C23×D71—21no—
101C23×D71—22no—
102C23×D71—21no—
103C23×D71—22no—
104C23×D71—21no—
105C23×D71—21no—
106C23×D71—22no—
107C23×D71C22×C412yes—
108C23×D71C2×Q812yes—
109C23×D71#4112yes—
110C22×Dic71—22no—
111C22×Dic71—22no—
112C22×Dic71—22no—
113C22×Dic71—22no—
114C22×Dic71—22no—
115C22×Dic71—21no—
116C22×Dic71—21no—
117C22×Dic71—21no—
118C22×Dic71—22no—
119C22×Dic71—22no—
120C22×Dic71—22no—
121C22×Dic71—21no—
122C22×Dic71—22no—
123C22×Dic71—22no—
124C22×Dic71—22no—
125C22×Dic71—22no—
126C22×Dic71—22no—
127C22×Dic71—21no—
128C22×Dic71—21no—
129C22×Dic71—22no—
130C22×Dic71—22no—
131C22×Dic71—22no—
132C22×Dic71C22×C412yes—
133C22×Dic71C22×C414yes—
134C22×Dic71C2×D414yes—
135C22×Dic71C2×D414yes—
136C22×Dic71C2×Q812yes—
137C22×Dic71#4112yes—
138C22×Dic71#4114yes—
139C2×C4×D71—28no—
140C2×C4×D71—216no—
141C2×C4×D71—44no—
142C2×C4×D71—48no—
143C2×C4×D71—44no—
144Dic71⋊C4—216no—
145Dic71⋊C4—216no—
146(C2×D71)⋊C4—216no—
147(C2×D71)⋊C4—28no—
148(C2×D71)⋊C4—28no—
149(C2×D71)⋊C4—216no—
150C4×Dic71—216no—
151C4×Dic71—44no—
152C24×C71C2411yescharacteristic
153C22×C4×C71—22no—
154C22×C4×C71—22no—
155C22×C4×C71—22no—
156C22×C4×C71—22no—
157C22×C4×C71—22no—
158C22×C4×C71—22no—
159C22×C4×C71—22no—
160C22×C4×C71—22no—
161C22×C4×C71—22no—
162C22×C4×C71—22no—
163C22×C4×C71—22no—
164C22×C4×C71—22no—
165C22×C4×C71—22no—
166C22×C4×C71—21no—
167C22×C4×C71—21no—
168C22×C4×C71—22no—
169C22×C4×C71—22no—
170C22×C4×C71—22no—
171C22×C4×C71C22×C414yes—
172C22×C4×C71C22×C412yes—
173C22×C4×C71C2×D414yes—
174C22×C4×C71C2×D412yes—
175C22×C4×C71C2×D412yes—
176C22×C4×C71C2×D412yes—
177C22×C4×C71C2×Q812yes—
178C22×C4×C71#4114yes—
179C22×C4×C71#4112yes—
180C22×C4×C71#4114yes—
181C22×C4×C71#4112yes—
182C4⋊C4×C71—28no—
183C4⋊C4×C71—28no—
184C42×C71—28no—
185C42×C71—48no—
186C23×C71C23×C411yescharacteristic
187C23×C71C22×D412yes—
188C23×C71C22×D411yescharacteristic
189C23×C71C22×Q811yescharacteristic
190C23×C71C2×#4112yes—
191C23×C71C2×#4111yescharacteristic
192C23×C71C2×#4111yescharacteristic
193C23×C71C2×#4111yescharacteristic
194C23×C71C2×#4112yes—
195C23×C71C2×#4112yes—
196C23×C71C2×#4111yescharacteristic
197C22×D71—24no—
198C22×D71—22no—
199C22×D71—24no—
200C22×D71—22no—
201C22×D71—22no—
202C22×D71—24no—
203C22×D71—22no—
204C22×D71—24no—
205C22×D71—24no—
206C22×D71—22no—
207C22×D71—24no—
208C22×D71—22no—
209C22×D71—41no—
210C22×D71—42no—
211C22×D71—42no—
212C22×D71—41no—
213C22×D71—42no—
214C22×D71—42no—
215C22×D71—42no—
216C22×D71—41no—
217C22×D71—41no—
218C22×D71—42no—
219C22×D71C4×Q814yes—
220C2×C4×C71—24no—
221C2×C4×C71—22no—
222C2×C4×C71—22no—
223C2×C4×C71—24no—
224C2×C4×C71—24no—
225C2×C4×C71—24no—
226C2×C4×C71—24no—
227C2×C4×C71—22no—
228C2×C4×C71—24no—
229C2×C4×C71—22no—
230C2×C4×C71—24no—
231C2×C4×C71—24no—
232C2×C4×C71—22no—
233C2×C4×C71—42no—
234C2×C4×C71—42no—
235C2×C4×C71—42no—
236C2×C4×C71—42no—
237C2×C4×C71—42no—
238C2×C4×C71—42no—
239C2×C4×C71—42no—
240C2×C4×C71—42no—
241C2×C4×C71—42no—
242C2×C4×C71—42no—
243C2×C4×C71C4×D414yes—
244C2×C4×C71C22⋊Q814yes—
245C2×C4×C71C22⋊Q818yes—
246C2×C4×C71#12314yes—
247C2×C4×C71#12318yes—
248C2×C4×C71#12714yes—
249C2×Dic71—24no—
250C2×Dic71—24no—
251C2×Dic71—24no—
252C2×Dic71—24no—
253C2×Dic71—24no—
254C2×Dic71—24no—
255C2×Dic71—22no—
256C2×Dic71—24no—
257C2×Dic71—22no—
258C2×Dic71—24no—
259C2×Dic71—24no—
260C2×Dic71—24no—
261C2×Dic71—22no—
262C2×Dic71—24no—
263C2×Dic71—24no—
264C2×Dic71—41no—
265C2×Dic71—42no—
266C2×Dic71—42no—
267C2×Dic71—41no—
268C2×Dic71—42no—
269C2×Dic71—42no—
270C2×Dic71—42no—
271C2×Dic71—42no—
272C2×Dic71—41no—
273C2×Dic71—41no—
274C2×Dic71—41no—
275C2×Dic71—41no—
276C2×Dic71—42no—
277C2×Dic71C4×D418yes—
278C4×D71—416no—
279C22×C71C2×C4×D412yes—
280C22×C71C2×C4×D411yescharacteristic
281C22×C71C2×C4×Q811yescharacteristic
282C22×C71C4×#4112yes—
283C22×C71C4×#4111yescharacteristic
284C22×C71C2×C22⋊Q811yescharacteristic
285C22×C71C2×C22⋊Q812yes—
286C22×C71C2×#12311yescharacteristic
287C22×C71C2×#12312yes—
288C22×C71#52511yescharacteristic
289C22×C71#52512yes—
290C22×C71#52512yes—
291C22×C71#52511yescharacteristic
292C22×C71#52912yes—
293C22×C71#52912yes—
294C22×C71#52912yes—
295C22×C71#52911yescharacteristic
296C22×C71#52912yes—
297C22×C71C2×#12711yescharacteristic
298C22×C71#53211yescharacteristic
299C22×C71#53212yes—
300C22×C71#53312yes—
301C22×C71#53311yescharacteristic
302C2×D71—24no—
303C2×D71—28no—
304C2×D71—42no—
305C2×D71—42no—
306C2×D71—42no—
307C2×D71—44no—
308C2×D71—42no—
309C2×D71—44no—
310C2×D71—42no—
311C2×D71—42no—
312C2×D71—44no—
313C4×C71—24no—
314C4×C71—44no—
315C4×C71—42no—
316C4×C71—44no—
317C4×C71#39918yescomplemented
318Dic71—28no—
319Dic71—42no—
320Dic71—42no—
321Dic71—44no—
322Dic71—42no—
323C4×#399—711nomaximal, Sylow
324C2×C71C4×#12311yescharacteristic
325C2×C71C4×#12312yes—
326C2×C71C4×C22⋊Q811yescharacteristic
327C2×C71C4×C22⋊Q812yes—
328C2×C71C4×#12711yescharacteristic
329C2×C71C2×#39911yescharacteristic
330C2×C71#239511yescharacteristic
331C2×C71#239512yes—
332C2×C71#239611yescharacteristic
333C2×C71#239612yes—
334C2×C71#239711yescharacteristic
335D71—44no—
336C2×#399—711no—
337C2×C4×C4⋊C4—712no—
338C2×C4×C4⋊C4D7111yescharacteristic, complemented
339C2×C4×C22⋊C4—712no—
340C2×C4×C22⋊C4—711no—
341#1445—712no—
342#1445—711no—
343#1444—711no—
344#1439—712no—
345#1439—711no—
346C4×#95—711no—
347C71C4×#39911yescharacteristic, complemented, Sylow
348C24×C4—711no—
349C22×C4⋊C4—712no—
350C22×C4⋊C4—712no—
351C22×C4⋊C4C2×D7111yescharacteristic
352C22×C4⋊C4C2×D7111yescharacteristic
353C22×C22⋊C4—712no—
354C22×C22⋊C4—711no—
355C22×C22⋊C4—712no—
356C22×C22⋊C4—711no—
357C22×C42—712no—
358C22×C42—711no—
359C22×C42C2×D7112yes—
360C22×C42C2×D7111yescharacteristic
361#399—718no—
362C4×C4⋊C4—24no—
363C4×C4⋊C4—1428no—
364C4×C22⋊C4—1428no—
365C4×C22⋊C4—1424no—
366C2×#95—711no—
367C2×#95—712no—
368C2×#95—711no—
369C2×#95—712no—
370C2×#95—712no—
371C2×#95—712no—
372C2×#95—711no—
373C2×#95—712no—
374C2×#95—711no—
375C2×#95C2×D7112yes—
376C25—711no—
377C23×C4—712no—
378C23×C4—711no—
379C23×C4—711no—
380C23×C4—712no—
381C23×C4—711no—
382C23×C4—714no—
383C23×C4—1424no—
384C23×C4—1422no—
385C23×C4—1424no—
386C23×C4—1422no—
387C23×C4C22×D7112yes—
388C23×C4C22×D7111yescharacteristic
389C23×C4C22×D7112yes—
390C23×C4C22×D7111yescharacteristic
391C23×C4C22×D7111yescharacteristic
392C2×C4⋊C4—22no—
393C2×C4⋊C4—22no—
394C2×C4⋊C4—24no—
395C2×C4⋊C4—22no—
396C2×C4⋊C4—718no—
397C2×C4⋊C4—1424no—
398C2×C4⋊C4—1424no—
399C2×C4⋊C4—1424no—
400C2×C4⋊C4—1424no—
401C2×C4⋊C4—1424no—
402C2×C4⋊C4C4×D7114yescomplemented
403C2×C22⋊C4—718no—
404C2×C22⋊C4—714no—
405C2×C22⋊C4—1424no—
406C2×C22⋊C4—1424no—
407C2×C22⋊C4—1424no—
408C2×C22⋊C4—1422no—
409C2×C22⋊C4—1422no—
410C2×C22⋊C4—1424no—
411C2×C22⋊C4—1422no—
412C2×C22⋊C4—1422no—
413C2×C22⋊C4—1424no—
414C2×C22⋊C4—1422no—
415C2×C42—24no—
416C2×C42—24no—
417C2×C42—24no—
418C2×C42—24no—
419C2×C42—718no—
420C2×C42—1424no—
421C2×C42—1422no—
422C2×C42—1424no—
423C2×C42—1424no—
424C2×C42C22⋊D7114yes—
425#95—24no—
426#95—714no—
427#95—1424no—
428#95—1424no—
429#95—1424no—
430#95—1424no—
431#95—1424no—
432#95—1422no—
433#95—1422no—
434#95—1422no—
435C24—712no—
436C24—712no—
437C24—712no—
438C24—1422no—
439C24—1421no—
440C24—1421no—
441C24—1422no—
442C24—1422no—
443C24—1421no—
444C24—1422no—
445C24—1421no—
446C24C23×D7111yescharacteristic
447C22×C4—22no—
448C22×C4—22no—
449C22×C4—22no—
450C22×C4—22no—
451C22×C4—22no—
452C22×C4—22no—
453C22×C4—22no—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4—22no—
457C22×C4—21no—
458C22×C4—21no—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—2844no—
466C22×C4—2848no—
467C22×C4—2844no—
468C22×C4—714no—
469C22×C4—714no—
470C22×C4—714no—
471C22×C4—712no—
472C22×C4—714no—
473C22×C4—712no—
474C22×C4—712no—
475C22×C4—1422no—
476C22×C4—1422no—
477C22×C4—1422no—
478C22×C4—1421no—
479C22×C4—1421no—
480C22×C4—1421no—
481C22×C4—1422no—
482C22×C4—1421no—
483C22×C4—1422no—
484C22×C4—1422no—
485C22×C4—1422no—
486C22×C4—1422no—
487C22×C4—1422no—
488C22×C4—1421no—
489C22×C4—1422no—
490C22×C4—1422no—
491C22×C4—1422no—
492C22×C4—1421no—
493C22×C4—1428no—
494C22×C4—14216no—
495C22×C4—1422no—
496C22×C4—1422no—
497C22×C4—1422no—
498C22×C4—1422no—
499C22×C4C2×C4×D7114yes—
500C22×C4C2×C4×D7112yes—
501C22×C4D4×D7114yes—
502C22×C4C2×C22⋊D7112yes—
503C22×C4C2×C22⋊D7112yes—
504C22×C4C2×C22⋊D7112yes—
505C22×C4Q8×D7112yes—
506C22×C4#1176586514yes—
507C22×C4#1176586512yes—
508C22×C4#1176586514yes—
509C22×C4#1176586612yes—
510C4⋊C4—28no—
511C4⋊C4—28no—
512C4⋊C4—14216no—
513C4⋊C4—14216no—
514C22⋊C4—14216no—
515C22⋊C4—1428no—
516C22⋊C4—14216no—
517C22⋊C4—1428no—
518C42—28no—
519C42—48no—
520C42—2844no—
521C42—14216no—
522C23—2841no—
523C23—2842no—
524C23—2842no—
525C23—2841no—
526C23—2842no—
527C23—2842no—
528C23—2842no—
529C23—2841no—
530C23—2841no—
531C23—2842no—
532C23—714no—
533C23—1424no—
534C23—1422no—
535C23—1424no—
536C23—1422no—
537C23—1422no—
538C23—1424no—
539C23—1422no—
540C23—1424no—
541C23—1424no—
542C23—1422no—
543C23—1424no—
544C23—1422no—
545C23C22×C4×D7111yescharacteristic
546C23C2×D4×D7112yes—
547C23C22×C22⋊D7111yescharacteristic
548C23C2×Q8×D7111yescharacteristic
549C23#41×D7112yes—
550C23#41×D7111yescharacteristic
551C23#41×D7111yescharacteristic
552C23C2×#1176586511yescharacteristic
553C23C2×#1176586512yes—
554C23C2×#1176586512yes—
555C23C2×#1176586611yescharacteristic
556C2×C4—24no—
557C2×C4—22no—
558C2×C4—22no—
559C2×C4—24no—
560C2×C4—24no—
561C2×C4—24no—
562C2×C4—24no—
563C2×C4—22no—
564C2×C4—22no—
565C2×C4—24no—
566C2×C4—24no—
567C2×C4—24no—
568C2×C4—22no—
569C2×C4—42no—
570C2×C4—42no—
571C2×C4—42no—
572C2×C4—42no—
573C2×C4—42no—
574C2×C4—42no—
575C2×C4—42no—
576C2×C4—42no—
577C2×C4—42no—
578C2×C4—42no—
579C2×C4—2841no—
580C2×C4—2842no—
581C2×C4—2842no—
582C2×C4—2841no—
583C2×C4—2842no—
584C2×C4—2842no—
585C2×C4—2842no—
586C2×C4—2842no—
587C2×C4—2841no—
588C2×C4—2841no—
589C2×C4—2841no—
590C2×C4—2841no—
591C2×C4—2842no—
592C2×C4—28416no—
593C2×C4—718no—
594C2×C4—1424no—
595C2×C4—1422no—
596C2×C4—1422no—
597C2×C4—1424no—
598C2×C4—1424no—
599C2×C4—1422no—
600C2×C4—1424no—
601C2×C4—1424no—
602C2×C4—1424no—
603C2×C4—1424no—
604C2×C4—1424no—
605C2×C4—1424no—
606C2×C4—1424no—
607C2×C4—1424no—
608C2×C4—1424no—
609C2×C4C4×C22⋊D7114yes—
610C2×C4#1455610414yes—
611C2×C4#1455610618yes—
612C2×C4#1455611114yes—
613C2×C4#1455611318yes—
614C2×C4#1455612414yes—
615C22—2842no—
616C22—2842no—
617C22—2844no—
618C22—2842no—
619C22—2844no—
620C22—2842no—
621C22—2842no—
622C22—2844no—
623C22—2842no—
624C22—1424no—
625C22—1428no—
626C22C4×D4×D7112yes—
627C22C2×C4×C22⋊D7111yescharacteristic
628C22C4×Q8×D7111yescharacteristic
629C22C4×#1176586512yes—
630C22C4×#1176586611yescharacteristic
631C22C2×#1455610411yescharacteristic
632C22C2×#1455610612yes—
633C22C2×#1455611111yescharacteristic
634C22C2×#1455611312yes—
635C22#1798650611yescharacteristic
636C22#1798650812yes—
637C22#1798650812yes—
638C22#1798651011yescharacteristic
639C22#1798652712yes—
640C22#1798652712yes—
641C22#1798653312yes—
642C22#1798653611yescharacteristic
643C22#1798653612yes—
644C22C2×#1455612411yescharacteristic
645C22#1798654511yescharacteristic
646C22#1798654612yes—
647C22#1798655312yes—
648C22#1798655311yescharacteristic
649C4—24no—
650C4—42no—
651C4—44no—
652C4—44no—
653C4—2842no—
654C4—2844no—
655C4—2842no—
656C4—2842no—
657C4—1428no—
658C4#1798593418yesdirect product factor
659C2—2844no—
660C2C4×#1455611111yescharacteristic
661C2C4×#1455611312yes—
662C2C4×#1455610411yescharacteristic
663C2C4×#1455610612yes—
664C2C4×#1455612411yescharacteristic
665C2C2×#1798593411yescharacteristic
666C2#2259159711yescharacteristic
667C2#2259160312yes—
668C2#2259161011yescharacteristic
669C2#2259161612yes—
670C2#2259161911yescharacteristic
subgroupG/H
centerC23×C4C22×D71
commutatorC23×C71C23×C4
FrattiniC24C23×D71
FittingC2×C4×C4⋊C4×C71C2
socle, cosocleC24×C71C24
prime radicalC24×D71C23
hypercenterC2×C4×C4⋊C4D71
hypocenterC71C4×#399
LCSG ▷ C23×C71 ▷ C71
UCSC1 ◁ C23×C4 ◁ C2×C4×C4⋊C4

Complements

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

NH ≅ G/Ntype
2. C2×C4×Dic71⋊C4C2semidirect
5. #22586608C2semidirect
6. #22586606C2semidirect
7. #22586603C2semidirect
10. C4×C71⋊#95C2semidirect
11. C2×C4×C4⋊C4×C71C2semidirect
21. #17985934C4direct (N × H)
56. C2×Dic71⋊C4C2×C4semidirect
82. C71⋊#95C2×C4semidirect
92. C2×C4⋊C4×C71C2×C4semidirect
317. C4×C71#399semidirect
338. C2×C4×C4⋊C4D71semidirect
347. C71C4×#399semidirect
402. C2×C4⋊C4C4×D71semidirect
658. C4#17985934direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#179859342
C2×C4×Dic71⋊C42
C2×C4×(C2×D71)⋊C42
#225866082
#225866062
#225866032
#225865842
#225865822
C4×C71⋊#952
C2×C4×C4⋊C4×C712
C4×#39971