Finite Group Databasebeta

← C2×#22592706 #32166558

Subgroups — C2×#22592706 #32166558

Order 18176.

3678 conjugacy classes of subgroups.

The subgroup lattice has 648 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#14556117C212yesmaximal, complemented
2C22×#14556103C211yesmaximal, characteristic
3#22592706C2116yesmaximal, direct product factor
4C2×#17985916C212yesmaximal, complemented
5C2×#17985910C212yesmaximal, complemented
6C2×#17985901C211yesmaximal, characteristic, complemented
7C2×#17985900C211yesmaximal, characteristic, complemented
8C2×#17985889C212yesmaximal, complemented
9C2×#17985856C211yesmaximal, characteristic, complemented
10C2×C4⋊C4×Dic71C211yesmaximal, characteristic, complemented
11C2×C4×(C2×D71)⋊C4C211yesmaximal, characteristic, complemented
12C22×C4⋊Q8×C71C211yesmaximal, characteristic, complemented
13C23×D284C2211yescharacteristic
14C23×D284C2212yes—
15C23×C4×D71C2211yescharacteristic
16C2×#14556117—216no—
17C2×#14556117C22116yescomplemented
18C2×#14556103—28no—
19C2×#14556103C2218yes—
20C22×C4⋊Dic71C2211yescharacteristic
21C22×(C2×D71)⋊C4C2212yes—
22C22×(C2×D71)⋊C4C2212yes—
23C22×(C2×D71)⋊C4C2212yes—
24C22×(C2×D71)⋊C4C2212yes—
25C22×(C2×D71)⋊C4C2211yescharacteristic
26C22×(C2×D71)⋊C4C2212yes—
27C22×(C2×D71)⋊C4C2212yes—
28C22×(C2×D71)⋊C4C2211yescharacteristic
29C22×C4×Dic71C2212yes—
30C22×C4×Dic71C2211yescharacteristic
31#17985916C22116yescomplemented
32#17985910C22116yescomplemented
33#17985901C2218yescomplemented
34#17985900C2218yescomplemented
35#17985889C22116yescomplemented
36#17985856C2218yescomplemented
37C4⋊C4×Dic71C2218yescomplemented
38C4×(C2×D71)⋊C4C2218yescomplemented
39C2×C71⋊#95C2211yescharacteristic
40C2×C71⋊#95C2212yes—
41C2×C71⋊#95C2211yescharacteristic
42C2×C71⋊#95C2212yes—
43C23×Q8×C71C2212yes—
44C2×C4⋊Q8×C71—28no—
45C2×C4⋊Q8×C71C2218yescomplemented
46C22×C4⋊C4×C71C2212yes—
47C22×C4⋊C4×C71C2211yescharacteristic
48C22×C4⋊C4×C71C2211yescharacteristic
49C22×C42×C71C2211yescharacteristic
50C24×D71C2312yes—
51C24×D71C2311yescharacteristic
52C22×D284—28no—
53C22×D284—28no—
54C22×D284—24no—
55C22×D284—24no—
56C22×D284—24no—
57C22×D284—44no—
58C22×D284C2314yes—
59C22×D284C2318yes—
60C23×Dic71C2311yescharacteristic
61C23×Dic71C2311yescharacteristic
62C23×Dic71C2312yes—
63C23×Dic71C2311yescharacteristic
64C22×C4×D71—24no—
65C22×C4×D71—24no—
66C22×C4×D71—24no—
67C22×C4×D71C2314yes—
68#14556117—264no—
69#14556103—232no—
70C2×C4⋊Dic71—24no—
71C2×C4⋊Dic71C2314yes—
72C2×(C2×D71)⋊C4—28no—
73C2×(C2×D71)⋊C4—28no—
74C2×(C2×D71)⋊C4—28no—
75C2×(C2×D71)⋊C4—28no—
76C2×(C2×D71)⋊C4—24no—
77C2×(C2×D71)⋊C4—28no—
78C2×(C2×D71)⋊C4—44no—
79C2×(C2×D71)⋊C4D418yescomplemented
80C2×(C2×D71)⋊C4C2314yes—
81C2×(C2×D71)⋊C4C2318yes—
82C2×(C2×D71)⋊C4C2318yes—
83C2×(C2×D71)⋊C4C2318yes—
84C2×(C2×D71)⋊C4C2318yes—
85C2×(C2×D71)⋊C4C2318yes—
86C2×(C2×D71)⋊C4C2318yes—
87C2×(C2×D71)⋊C4C2314yes—
88C2×C4×Dic71—28no—
89C2×C4×Dic71—24no—
90C2×C4×Dic71C2314yes—
91C2×C4×Dic71C2318yes—
92C71⋊#95C2314yes—
93C71⋊#95C2314yes—
94C71⋊#95C2318yes—
95C71⋊#95C2318yes—
96C22×Q8×C71—28no—
97C22×Q8×C71—28no—
98C22×Q8×C71—44no—
99C22×Q8×C71C2318yes—
100C23×C4×C71C2312yes—
101C23×C4×C71C2312yes—
102C23×C4×C71C2311yescharacteristic
103C23×C4×C71C2311yescharacteristic
104C23×C4×C71C2311yescharacteristic
105C4⋊Q8×C71—232no—
106C2×C4⋊C4×C71—28no—
107C2×C4⋊C4×C71—24no—
108C2×C4⋊C4×C71D418yes—
109C2×C4⋊C4×C71C2314yes—
110C2×C4⋊C4×C71C2318yes—
111C2×C4⋊C4×C71C2314yes—
112C2×C42×C71—24no—
113C2×C42×C71C2314yes—
114C23×D71—22no—
115C23×D71—22no—
116C23×D71—22no—
117C23×D71—22no—
118C23×D71—22no—
119C23×D71—22no—
120C23×D71—24no—
121C23×D71—24no—
122C23×D71—24no—
123C23×D71—24no—
124C23×D71—24no—
125C23×D71—24no—
126C23×D71—24no—
127C23×D71C2×D414yes—
128C23×D71C2414yes—
129C23×D71C2412yes—
130C2×D284—216no—
131C2×D284—216no—
132C2×D284—28no—
133C2×D284—28no—
134C2×D284—28no—
135C2×D284—48no—
136C2×D284—432no—
137C2×D284—416no—
138C22×Dic71—22no—
139C22×Dic71—22no—
140C22×Dic71—22no—
141C22×Dic71—24no—
142C22×Dic71—22no—
143C22×Dic71—22no—
144C22×Dic71—22no—
145C22×Dic71—24no—
146C22×Dic71—22no—
147C22×Dic71—24no—
148C22×Dic71—22no—
149C22×Dic71C2×D414yes—
150C22×Dic71C2412yes—
151C22×Dic71C2412yes—
152C22×Dic71C2414yes—
153C22×Dic71C2412yes—
154C2×C4×D71—28no—
155C2×C4×D71—28no—
156C2×C4×D71—28no—
157C2×C4×D71—416no—
158C4⋊Dic71—28no—
159(C2×D71)⋊C4—216no—
160(C2×D71)⋊C4—216no—
161(C2×D71)⋊C4—216no—
162(C2×D71)⋊C4—28no—
163(C2×D71)⋊C4—216no—
164(C2×D71)⋊C4—216no—
165(C2×D71)⋊C4—48no—
166(C2×D71)⋊C4C2×D4116yescomplemented
167C4×Dic71—28no—
168C4×Dic71—216no—
169C24×C71C2411yescharacteristic
170C2×Q8×C71—216no—
171C2×Q8×C71—216no—
172C2×Q8×C71—48no—
173C2×Q8×C71—432no—
174C22×C4×C71—24no—
175C22×C4×C71—22no—
176C22×C4×C71—22no—
177C22×C4×C71—24no—
178C22×C4×C71—22no—
179C22×C4×C71—22no—
180C22×C4×C71—24no—
181C22×C4×C71—24no—
182C22×C4×C71—24no—
183C22×C4×C71C2×D414yes—
184C22×C4×C71C2×D418yes—
185C22×C4×C71C2×D414yes—
186C22×C4×C71#4114yes—
187C22×C4×C71#4114yes—
188C22×C4×C71#4114yes—
189C22×C4×C71C2414yes—
190C22×C4×C71C2414yes—
191C22×C4×C71C2412yes—
192C22×C4×C71C2412yes—
193C22×C4×C71C2412yes—
194C4⋊C4×C71—216no—
195C4⋊C4×C71—28no—
196C4⋊C4×C71C2×D4116yes—
197C42×C71—28no—
198C23×C71C22×D412yes—
199C23×C71C22×D412yes—
200C23×C71C2×#4112yes—
201C23×C71C2×#4112yes—
202C23×C71C2×#4112yes—
203C23×C71H(5,𝔽2)12yes—
204C23×C712−1+412yes—
205C23×C71C2511yescharacteristic
206C22×D71—28no—
207C22×D71—28no—
208C22×D71—28no—
209C22×D71—22no—
210C22×D71—22no—
211C22×D71—22no—
212C22×D71—22no—
213C22×D71—22no—
214C22×D71—22no—
215C22×D71—24no—
216C22×D71—24no—
217C22×D71—24no—
218C22×D71—24no—
219C22×D71—24no—
220C22×D71—24no—
221C22×D71—24no—
222C22×D71—44no—
223C22×D71—44no—
224C22×D71—44no—
225C22×D71—44no—
226C22×D71—48no—
227C22×D71—48no—
228C22×D71—48no—
229C22×D71—48no—
230C22×D71—48no—
231C22×D71—48no—
232C22×D71—48no—
233C22×D71C22×D414yes—
234Q8×C71—432no—
235C2×C4×C71—28no—
236C2×C4×C71—216no—
237C2×C4×C71—28no—
238C2×C4×C71—22no—
239C2×C4×C71—22no—
240C2×C4×C71—24no—
241C2×C4×C71—22no—
242C2×C4×C71—24no—
243C2×C4×C71—22no—
244C2×C4×C71—24no—
245C2×C4×C71—24no—
246C2×C4×C71—24no—
247C2×C4×C71—48no—
248C2×C4×C71#124116yescomplemented
249C2×C4×C71C22×D414yes—
250C2×C4×C71C22×D418yes—
251C2×C4×C71C22×D414yes—
252C2×C4×C71C2×#4114yes—
253C2×C4×C71C2×#4114yes—
254C2×C4×C71C2×#4114yes—
255C2×Dic71—28no—
256C2×Dic71—22no—
257C2×Dic71—22no—
258C2×Dic71—24no—
259C2×Dic71—22no—
260C2×Dic71—22no—
261C2×Dic71—24no—
262C2×Dic71—22no—
263C2×Dic71—24no—
264C2×Dic71—22no—
265C2×Dic71—22no—
266C2×Dic71—22no—
267C2×Dic71—44no—
268C2×Dic71—48no—
269C2×Dic71—44no—
270C2×Dic71C22×D414yes—
271D284—432no—
272D284—416no—
273C4×D71—416no—
274C22×C71C2×#12414yes—
275C22×C71#53214yes—
276C22×C71#54214yes—
277C22×C71D4214yes—
278C22×C71#54714yes—
279C22×C71#54814yes—
280C22×C71#55514yes—
281C22×C71C23×D411yescharacteristic
282C22×C71C23×D411yescharacteristic
283C22×C71C22×#4111yescharacteristic
284C22×C71C22×#4111yescharacteristic
285C22×C71C22×#4111yescharacteristic
286C22×C71C2×H(5,𝔽2)11yescharacteristic
287C22×C71C2×2−1+411yescharacteristic
288C2×D71—24no—
289C2×D71—24no—
290C2×D71—24no—
291C2×D71—42no—
292C2×D71—42no—
293C2×D71—42no—
294C2×D71—42no—
295C2×D71—416no—
296C2×D71—44no—
297C2×D71—44no—
298C2×D71—44no—
299C2×D71—44no—
300C2×D71—44no—
301C2×D71—44no—
302C2×D71—44no—
303C2×D71—816no—
304C4×C71—28no—
305C4×C71—24no—
306C4×C71—24no—
307C4×C71—44no—
308C4×C71C2×#12418yescomplemented
309Dic71—24no—
310Dic71—42no—
311Dic71—44no—
312Dic71—42no—
313C2×#2491—711nomaximal, Sylow
314C2×C71#249118yescomplemented
315C2×C71C22×#12411yescharacteristic
316C2×C71C2×#53211yescharacteristic
317C2×C71C2×#54211yescharacteristic
318C2×C71C2×D4211yescharacteristic
319C2×C71C2×#54711yescharacteristic
320C2×C71C2×#54811yescharacteristic
321C2×C71C2×#55511yescharacteristic
322D71—44no—
323D71—84no—
324C22×C4⋊Q8D7111yescharacteristic, complemented
325C22×#124—712no—
326C22×#121—711no—
327#2491—7116no—
328C2×#394—712no—
329C2×#393—712no—
330C2×#390—711no—
331C2×#390—711no—
332C2×#388—712no—
333C2×#380—711no—
334C2×C4×C4⋊C4—711no—
335C2×C4×C22⋊C4—711no—
336C71C2×#249111yescharacteristic, complemented, Sylow
337C23×Q8C2×D7112yes—
338C23×D4—712no—
339C23×D4—711no—
340C24×C4—711no—
341C2×C4⋊Q8—28no—
342C2×C4⋊Q8C2×D7118yescomplemented
343C2×#124—7116no—
344C2×#124—14216no—
345C2×#121—718no—
346C2×#121—1428no—
347C22×C4⋊C4—711no—
348C22×C4⋊C4C2×D7112yes—
349C22×C4⋊C4C2×D7111yescharacteristic
350C22×C4⋊C4C2×D7111yescharacteristic
351C22×C22⋊C4—712no—
352C22×C22⋊C4—711no—
353C22×C22⋊C4—712no—
354C22×C22⋊C4—712no—
355C22×C22⋊C4—711no—
356C22×C22⋊C4—712no—
357C22×C22⋊C4—712no—
358C22×C22⋊C4—712no—
359C22×C42—712no—
360C22×C42—711no—
361C22×C42C2×D7111yescharacteristic
362#394—7116no—
363#393—7116no—
364#390—718no—
365#390—718no—
366#388—7116no—
367#380—718no—
368C4×C4⋊C4—718no—
369C4×C22⋊C4—718no—
370C2×#95—711no—
371C2×#95—712no—
372C2×#95—712no—
373C2×#95—711no—
374C25—711no—
375C25—712no—
376C22×Q8—28no—
377C22×Q8—28no—
378C22×Q8—44no—
379C22×Q8C22×D7118yes—
380C22×D4—2844no—
381C22×D4—718no—
382C22×D4—714no—
383C22×D4—1428no—
384C22×D4—1428no—
385C22×D4—1424no—
386C22×D4—1424no—
387C22×D4—1424no—
388C23×C4—711no—
389C23×C4—712no—
390C23×C4—711no—
391C23×C4—711no—
392C23×C4—714no—
393C23×C4—1424no—
394C23×C4—1424no—
395C23×C4—1424no—
396C23×C4C22×D7112yes—
397C23×C4C22×D7111yescharacteristic
398C23×C4C22×D7112yes—
399C23×C4C22×D7111yescharacteristic
400C23×C4C22×D7111yescharacteristic
401C4⋊Q8—232no—
402#124—14264no—
403#121—14232no—
404C2×C4⋊C4—28no—
405C2×C4⋊C4—24no—
406C2×C4⋊C4—714no—
407C2×C4⋊C4—1424no—
408C2×C4⋊C4C22⋊D7118yes—
409C2×C4⋊C4C22×D7114yes—
410C2×C4⋊C4C22×D7118yes—
411C2×C4⋊C4C22×D7114yes—
412C2×C22⋊C4—2844no—
413C2×C22⋊C4—718no—
414C2×C22⋊C4—718no—
415C2×C22⋊C4—714no—
416C2×C22⋊C4—718no—
417C2×C22⋊C4—718no—
418C2×C22⋊C4—718no—
419C2×C22⋊C4—718no—
420C2×C22⋊C4—714no—
421C2×C22⋊C4—718no—
422C2×C22⋊C4—1428no—
423C2×C22⋊C4—1428no—
424C2×C22⋊C4—1428no—
425C2×C22⋊C4—1428no—
426C2×C22⋊C4—1428no—
427C2×C22⋊C4—1424no—
428C2×C42—24no—
429C2×C42—718no—
430C2×C42—714no—
431C2×C42—1428no—
432C2×C42—1424no—
433C2×C42C22×D7114yes—
434#95—714no—
435#95—714no—
436#95—718no—
437#95—718no—
438C24—714no—
439C24—712no—
440C24—714no—
441C24—1424no—
442C24—1424no—
443C24—1424no—
444C24—1424no—
445C24—1424no—
446C24—1424no—
447C24—1424no—
448C24—1422no—
449C24—1422no—
450C24—1422no—
451C24—1422no—
452C24—1422no—
453C24—1422no—
454C24C23×D7111yescharacteristic
455C2×Q8—216no—
456C2×Q8—216no—
457C2×Q8—48no—
458C2×Q8—432no—
459C2×D4—28432no—
460C2×D4—2848no—
461C2×D4—28416no—
462C2×D4—14216no—
463C2×D4—14216no—
464C2×D4—1428no—
465C2×D4—1428no—
466C2×D4—1428no—
467C22×C4—24no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—24no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—24no—
474C22×C4—24no—
475C22×C4—24no—
476C22×C4—28416no—
477C22×C4—714no—
478C22×C4—712no—
479C22×C4—712no—
480C22×C4—712no—
481C22×C4—714no—
482C22×C4—1424no—
483C22×C4—1422no—
484C22×C4—1422no—
485C22×C4—1422no—
486C22×C4—1424no—
487C22×C4—1424no—
488C22×C4—1422no—
489C22×C4—1422no—
490C22×C4—1422no—
491C22×C4—1428no—
492C22×C4—1428no—
493C22×C4—1428no—
494C22×C4—1422no—
495C22×C4—1422no—
496C22×C4D4×D7114yes—
497C22×C4C2×C22⋊D7118yes—
498C22×C4C2×C22⋊D7114yes—
499C22×C4#1176586614yes—
500C22×C4#1176586614yes—
501C22×C4#1176586614yes—
502C22×C4C23×D7114yes—
503C22×C4C23×D7112yes—
504C22×C4C23×D7114yes—
505C22×C4C23×D7112yes—
506C22×C4C23×D7112yes—
507C4⋊C4—216no—
508C4⋊C4—28no—
509C4⋊C4—1428no—
510C4⋊C4C2×C22⋊D71116yes—
511C22⋊C4—2848no—
512C22⋊C4—7116no—
513C22⋊C4—14216no—
514C22⋊C4—14216no—
515C22⋊C4—14216no—
516C22⋊C4—14216no—
517C22⋊C4—14216no—
518C22⋊C4—1428no—
519C42—28no—
520C42—14216no—
521C42—1428no—
522C23—2844no—
523C23—2844no—
524C23—2844no—
525C23—2844no—
526C23—2848no—
527C23—2848no—
528C23—2848no—
529C23—2848no—
530C23—2848no—
531C23—2848no—
532C23—2848no—
533C23—714no—
534C23—1424no—
535C23—1424no—
536C23—1424no—
537C23—1424no—
538C23—1424no—
539C23—1424no—
540C23—1424no—
541C23—1422no—
542C23—1422no—
543C23—1422no—
544C23—1422no—
545C23—1422no—
546C23—1422no—
547C23—1428no—
548C23—1428no—
549C23—1428no—
550C23C2×D4×D7112yes—
551C23C22×C22⋊D7112yes—
552C23C2×#1176586612yes—
553C23C2×#1176586612yes—
554C23C2×#1176586612yes—
555C23#1455617312yes—
556C23#1455617612yes—
557C23C24×D7111yescharacteristic
558Q8—432no—
559D4—28432no—
560D4—28416no—
561C2×C4—24no—
562C2×C4—22no—
563C2×C4—22no—
564C2×C4—24no—
565C2×C4—22no—
566C2×C4—22no—
567C2×C4—28no—
568C2×C4—216no—
569C2×C4—28no—
570C2×C4—24no—
571C2×C4—24no—
572C2×C4—24no—
573C2×C4—48no—
574C2×C4—2844no—
575C2×C4—2844no—
576C2×C4—2848no—
577C2×C4—28416no—
578C2×C4—714no—
579C2×C4—1424no—
580C2×C4—1422no—
581C2×C4—1422no—
582C2×C4—1424no—
583C2×C4—1422no—
584C2×C4—1424no—
585C2×C4—1422no—
586C2×C4—1422no—
587C2×C4—1422no—
588C2×C4—1422no—
589C2×C4—1422no—
590C2×C4—1428no—
591C2×C4#14556117116yescomplemented
592C2×C4C2×D4×D7114yes—
593C2×C4C22×C22⋊D7118yes—
594C2×C4C22×C22⋊D7114yes—
595C2×C4C2×#1176586614yes—
596C2×C4C2×#1176586614yes—
597C2×C4C2×#1176586614yes—
598C22—2842no—
599C22—2842no—
600C22—2842no—
601C22—28416no—
602C22—2842no—
603C22—2844no—
604C22—2844no—
605C22—2844no—
606C22—2844no—
607C22—2844no—
608C22—2844no—
609C22—2844no—
610C22—56816no—
611C22—1424no—
612C22—1424no—
613C22—1424no—
614C22C2×#1455611714yes—
615C22#1798655014yes—
616C22#1798662314yes—
617C22D4×C22⋊D7114yes—
618C22#1798665214yes—
619C22#1798666014yes—
620C22#1798671514yes—
621C22C22×D4×D7111yescharacteristic
622C22C23×C22⋊D7111yescharacteristic
623C22C22×#1176586611yescharacteristic
624C22C22×#1176586611yescharacteristic
625C22C22×#1176586611yescharacteristic
626C22C2×#1455617311yescharacteristic
627C22C2×#1455617611yescharacteristic
628C4—24no—
629C4—28no—
630C4—24no—
631C4—44no—
632C4—2842no—
633C4—2844no—
634C4—2842no—
635C4—1424no—
636C4C2×#1455611718yescomplemented
637C2—2844no—
638C2—5684no—
639C2#2259270618yesdirect product factor
640C2C22×#1455611711yescharacteristic
641C2C2×#1798655011yescharacteristic
642C2C2×#1798662311yescharacteristic
643C2C2×D4×C22⋊D7111yescharacteristic
644C2C2×#1798665211yescharacteristic
645C2C2×#1798666011yescharacteristic
646C2C2×#1798671511yescharacteristic
subgroupG/H
centerC24C23×D71
commutator, cosocleC23×C71C25
FrattiniC23C24×D71
FittingC22×C4⋊Q8×C71C2
socleC24×C71C24
prime radicalC22×#14556103C2
hypercenterC22×C4⋊Q8D71
hypocenterC71C2×#2491
LCSG ▷ C23×C71 ▷ C71
UCSC1 ◁ C24 ◁ C22×C4⋊Q8

Complements

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

NH ≅ G/Ntype
1. C22×#14556117C2semidirect
3. #22592706C2direct (N × H)
4. C2×#17985916C2semidirect
5. C2×#17985910C2semidirect
6. C2×#17985901C2semidirect
7. C2×#17985900C2semidirect
8. C2×#17985889C2semidirect
9. C2×#17985856C2semidirect
10. C2×C4⋊C4×Dic71C2semidirect
11. C2×C4×(C2×D71)⋊C4C2semidirect
12. C22×C4⋊Q8×C71C2semidirect
17. C2×#14556117C22semidirect
31. #17985916C22semidirect
32. #17985910C22semidirect
33. #17985901C22semidirect
34. #17985900C22semidirect
35. #17985889C22semidirect
36. #17985856C22semidirect
37. C4⋊C4×Dic71C22semidirect
38. C4×(C2×D71)⋊C4C22semidirect
45. C2×C4⋊Q8×C71C22semidirect
79. C2×(C2×D71)⋊C4D4semidirect
166. (C2×D71)⋊C4C2×D4semidirect
248. C2×C4×C71#124semidirect
308. C4×C71C2×#124semidirect
314. C2×C71#2491semidirect
324. C22×C4⋊Q8D71semidirect
336. C71C2×#2491semidirect
342. C2×C4⋊Q8C2×D71semidirect
591. C2×C4#14556117semidirect
636. C4C2×#14556117semidirect
639. C2#22592706direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#145561172
C22×#145561032
#225927062
C2×#179859162
C2×#179859102
C2×#179859012
C2×#179859002
C2×#179858892
C2×#179858562
C2×C4⋊C4×Dic712
C2×C4×(C2×D71)⋊C42
C22×C4⋊Q8×C712
C2×#249171