Finite Group Databasebeta

← C2×#22590694 #32155659

Subgroups — C2×#22590694 #32155659

Order 18176.

4110 conjugacy classes of subgroups.

The subgroup lattice has 580 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#14556086C211yesmaximal, characteristic
2C22×#14556085C211yesmaximal, characteristic
3C22×C4⋊C4×D71C211yesmaximal, characteristic
4#22590694C2116yesmaximal, direct product factor
5C2×C4⋊C4×Dic71C211yesmaximal, characteristic, complemented
6C2×C4⋊C4×Dic71C211yesmaximal, characteristic, complemented
7C2×C4×Dic71⋊C4C212yesmaximal, complemented
8C2×C4×C4⋊Dic71C211yesmaximal, characteristic, complemented
9C2×#17985850C212yesmaximal, complemented
10C2×C4×(C2×D71)⋊C4C212yesmaximal
11C2×#17985846C212yesmaximal
12C2×C4×C4⋊C4×C71C211yesmaximal, characteristic, complemented
13C23×C4×D71C2212yes—
14C23×C4×D71C2211yescharacteristic
15C2×#14556086C4116yescomplemented
16C2×#14556086C2218yes—
17C2×#14556085C4116yescomplemented
18C2×#14556085C2218yes—
19C22×C4⋊Dic71C2211yescharacteristic
20C22×C4⋊Dic71C2211yescharacteristic
21C22×Dic71⋊C4C2212yes—
22C22×Dic71⋊C4C2211yescharacteristic
23C22×Dic71⋊C4C2211yescharacteristic
24C2×C4⋊C4×D71C4116yescomplemented
25C2×C4⋊C4×D71C2218yes—
26C22×(C2×D71)⋊C4C2211yescharacteristic
27C22×(C2×D71)⋊C4C2211yescharacteristic
28C22×(C2×D71)⋊C4C2212yes—
29C22×C4×Dic71C2212yes—
30C22×C4×Dic71C2212yes—
31C22×C4×Dic71C2212yes—
32C22×C4×Dic71C2211yescharacteristic
33C22×C4×Dic71C2212yes—
34C4⋊C4×Dic71C2218yescomplemented
35C4⋊C4×Dic71C2218yescomplemented
36C4×Dic71⋊C4C22116yescomplemented
37C4×C4⋊Dic71C2218yescomplemented
38#17985850C22116yescomplemented
39C4×(C2×D71)⋊C4C22116yes—
40#17985846C22116yes—
41C2×C71⋊#95C2212yes—
42C2×C71⋊#95C2212yes—
43C2×C71⋊#95C2212yes—
44C22×C4⋊C4×C71C2211yescharacteristic
45C22×C4⋊C4×C71C2211yescharacteristic
46C22×C42×C71C2212yes—
47C22×C42×C71C2211yescharacteristic
48C4×C4⋊C4×C71C2218yescomplemented
49C2×#95×C71C2212yes—
50C24×D71C2311yescharacteristic
51C23×Dic71C2312yes—
52C23×Dic71C2311yescharacteristic
53C23×Dic71C2311yescharacteristic
54C23×Dic71C2312yes—
55C23×Dic71C2311yescharacteristic
56C22×C4×D71—44no—
57C22×C4×D71—44no—
58C22×C4×D71C2×C4116yes—
59C22×C4×D71C2×C418yes—
60C22×C4×D71C2×C418yes—
61C22×C4×D71C2×C418yes—
62C22×C4×D71C2318yes—
63C22×C4×D71C2314yes—
64#14556086C2×C4164yescomplemented
65#14556085C2×C4164yescomplemented
66C2×C4⋊Dic71C2×C418yes—
67C2×C4⋊Dic71C2×C418yescomplemented
68C2×C4⋊Dic71C2314yes—
69C2×C4⋊Dic71C2314yes—
70C2×Dic71⋊C4C2×C4116yes—
71C2×Dic71⋊C4C2×C418yescomplemented
72C2×Dic71⋊C4C2×C418yescomplemented
73C2×Dic71⋊C4C2318yes—
74C2×Dic71⋊C4C2314yes—
75C2×Dic71⋊C4C2314yes—
76C4⋊C4×D71C2×C4164yescomplemented
77C2×(C2×D71)⋊C4C2×C418yes—
78C2×(C2×D71)⋊C4C2×C418yes—
79C2×(C2×D71)⋊C4C2×C4116yes—
80C2×(C2×D71)⋊C4C2314yes—
81C2×(C2×D71)⋊C4C2318yes—
82C2×(C2×D71)⋊C4C2314yes—
83C2×C4×Dic71—44no—
84C2×C4×Dic71—44no—
85C2×C4×Dic71—44no—
86C2×C4×Dic71C2×C418yescomplemented
87C2×C4×Dic71C2×C4116yescomplemented
88C2×C4×Dic71C2318yes—
89C2×C4×Dic71C2318yes—
90C2×C4×Dic71C2318yes—
91C2×C4×Dic71C2318yes—
92C2×C4×Dic71C2314yes—
93C71⋊#95C2318yes—
94C71⋊#95C2318yes—
95C71⋊#95C2318yes—
96C23×C4×C71C2312yes—
97C23×C4×C71C2311yescharacteristic
98C23×C4×C71C2312yes—
99C23×C4×C71C2311yescharacteristic
100C23×C4×C71C2311yescharacteristic
101C2×C4⋊C4×C71C2×C418yes—
102C2×C4⋊C4×C71C2×C418yescomplemented
103C2×C4⋊C4×C71C2314yes—
104C2×C4⋊C4×C71C2314yes—
105C2×C42×C71—44no—
106C2×C42×C71C2×C418yescomplemented
107C2×C42×C71C2318yes—
108C2×C42×C71C2314yes—
109#95×C71C2318yes—
110C23×D71—22no—
111C23×D71—22no—
112C23×D71—22no—
113C23×D71—22no—
114C23×D71C22×C414yes—
115C23×D71C22×C414yes—
116C23×D71C22×C414yes—
117C23×D71C2412yes—
118C22×Dic71—24no—
119C22×Dic71—24no—
120C22×Dic71—22no—
121C22×Dic71—22no—
122C22×Dic71—24no—
123C22×Dic71—22no—
124C22×Dic71—22no—
125C22×Dic71—24no—
126C22×Dic71C22×C418yes—
127C22×Dic71C22×C414yes—
128C22×Dic71C22×C414yes—
129C22×Dic71C22×C418yes—
130C22×Dic71C22×C414yes—
131C22×Dic71C22×C414yes—
132C22×Dic71C22×C414yes—
133C22×Dic71C2414yes—
134C22×Dic71C2412yes—
135C22×Dic71C2412yes—
136C22×Dic71C2414yes—
137C22×Dic71C2412yes—
138C2×C4×D71—432no—
139C2×C4×D71—48no—
140C2×C4×D71—48no—
141C2×C4×D71C42164yescomplemented
142C2×C4×D71C22×C4132yes—
143C2×C4×D71C22×C4116yes—
144C2×C4×D71C22×C4116yes—
145C2×C4×D71C22×C4116yes—
146C4⋊Dic71C22×C4116yes—
147C4⋊Dic71C22×C4116yescomplemented
148Dic71⋊C4C22×C4132yes—
149Dic71⋊C4C22×C4116yescomplemented
150Dic71⋊C4C22×C4116yescomplemented
151(C2×D71)⋊C4C22×C4116yes—
152(C2×D71)⋊C4C22×C4116yes—
153(C2×D71)⋊C4C22×C4132yes—
154C4×Dic71—48no—
155C4×Dic71—48no—
156C4×Dic71—48no—
157C4×Dic71C22×C4116yescomplemented
158C4×Dic71C22×C4132yescomplemented
159C24×C71C2411yescharacteristic
160C22×C4×C71—24no—
161C22×C4×C71—24no—
162C22×C4×C71—22no—
163C22×C4×C71—24no—
164C22×C4×C71—22no—
165C22×C4×C71—24no—
166C22×C4×C71—22no—
167C22×C4×C71—22no—
168C22×C4×C71C22×C418yes—
169C22×C4×C71C22×C414yes—
170C22×C4×C71C22×C414yes—
171C22×C4×C71C22×C418yes—
172C22×C4×C71C22×C414yes—
173C22×C4×C71C22×C414yes—
174C22×C4×C71C22×C414yes—
175C22×C4×C71C2414yes—
176C22×C4×C71C2412yes—
177C22×C4×C71C2414yes—
178C22×C4×C71C2412yes—
179C22×C4×C71C2412yes—
180C4⋊C4×C71C22×C4116yes—
181C4⋊C4×C71C22×C4116yescomplemented
182C42×C71—48no—
183C42×C71C22×C4116yescomplemented
184C23×C71C23×C412yes—
185C23×C71C23×C412yes—
186C23×C71C23×C412yes—
187C23×C71H(5,𝔽2)12yes—
188C23×C71H(5,𝔽2)12yes—
189C23×C712−1+412yes—
190C23×C712−1+412yes—
191C23×C71C2511yescharacteristic
192C22×D71—28no—
193C22×D71—28no—
194C22×D71—28no—
195C22×D71—28no—
196C22×D71—28no—
197C22×D71—28no—
198C22×D71—22no—
199C22×D71—22no—
200C22×D71—22no—
201C22×D71—22no—
202C22×D71C2×C42116yes—
203C22×D71C23×C414yes—
204C22×D71C23×C414yes—
205C22×D71C23×C414yes—
206C2×C4×C71—216no—
207C2×C4×C71—216no—
208C2×C4×C71—28no—
209C2×C4×C71—28no—
210C2×C4×C71—22no—
211C2×C4×C71—24no—
212C2×C4×C71—24no—
213C2×C4×C71—22no—
214C2×C4×C71—24no—
215C2×C4×C71—22no—
216C2×C4×C71—24no—
217C2×C4×C71—22no—
218C2×C4×C71C2×C42116yes—
219C2×C4×C71C23×C414yes—
220C2×C4×C71C23×C414yes—
221C2×C4×C71C23×C418yes—
222C2×C4×C71C23×C418yes—
223C2×C4×C71C23×C414yes—
224C2×C4×C71C23×C414yes—
225C2×C4×C71C23×C414yes—
226C2×Dic71—216no—
227C2×Dic71—28no—
228C2×Dic71—28no—
229C2×Dic71—216no—
230C2×Dic71—22no—
231C2×Dic71—22no—
232C2×Dic71—24no—
233C2×Dic71—24no—
234C2×Dic71—24no—
235C2×Dic71—22no—
236C2×Dic71—22no—
237C2×Dic71—24no—
238C2×Dic71C2×C42116yes—
239C2×Dic71C23×C414yes—
240C2×Dic71C23×C414yes—
241C2×Dic71C23×C418yes—
242C2×Dic71C23×C418yes—
243C2×Dic71C23×C414yes—
244C2×Dic71C23×C414yes—
245C2×Dic71C23×C414yes—
246C4×D71—432no—
247C4×D71C2×C42164yescomplemented
248C22×C71C22×C4214yes—
249C22×C71#51814yes—
250C22×C71#51914yes—
251C22×C71#52014yes—
252C22×C71#52014yes—
253C22×C71#52014yes—
254C22×C71#52014yes—
255C22×C71C24×C411yescharacteristic
256C22×C71C24×C411yescharacteristic
257C22×C71C24×C411yescharacteristic
258C22×C71C2×H(5,𝔽2)11yescharacteristic
259C22×C71C2×H(5,𝔽2)11yescharacteristic
260C22×C71C2×2−1+411yescharacteristic
261C22×C71C2×2−1+411yescharacteristic
262C2×D71—24no—
263C2×D71—24no—
264C2×D71—24no—
265C2×D71—24no—
266C2×D71—24no—
267C2×D71—24no—
268C2×D71—232no—
269C2×D71C22×C4218yes—
270C4×C71—28no—
271C4×C71—28no—
272C4×C71—24no—
273C4×C71—24no—
274C4×C71C22×C4218yes—
275Dic71—28no—
276Dic71—24no—
277Dic71—24no—
278Dic71—28no—
279Dic71C22×C4218yes—
280C2×#2274—711nomaximal, Sylow
281C2×C71#227418yescomplemented
282C2×C71C23×C4211yescharacteristic
283C2×C71C2×#51811yescharacteristic
284C2×C71C2×#51911yescharacteristic
285C2×C71C2×#52011yescharacteristic
286C2×C71C2×#52011yescharacteristic
287C2×C71C2×#52011yescharacteristic
288C2×C71C2×#52011yescharacteristic
289D71—28no—
290C22×#117—711no—
291C22×#117—711no—
292C23×C4⋊C4—711no—
293#2274—7116no—
294C2×C4×C4⋊C4—711no—
295C2×C4×C4⋊C4—712no—
296C2×C4×C4⋊C4—712no—
297C2×C4×C4⋊C4—711no—
298C2×C4×C4⋊C4—711no—
299C2×C4×C4⋊C4D7111yescharacteristic, complemented
300C2×C4×C22⋊C4—712no—
301C2×C4×C22⋊C4—712no—
302C71C2×#227411yescharacteristic, complemented, Sylow
303C24×C4—712no—
304C24×C4—711no—
305C2×#117—7116no—
306C2×#117—718no—
307C2×#117—7116no—
308C2×#117—718no—
309C22×C4⋊C4—712no—
310C22×C4⋊C4—711no—
311C22×C4⋊C4—711no—
312C22×C4⋊C4—711no—
313C22×C4⋊C4—711no—
314C22×C4⋊C4—7116no—
315C22×C4⋊C4—718no—
316C22×C4⋊C4C2×D7111yescharacteristic
317C22×C4⋊C4C2×D7111yescharacteristic
318C22×C22⋊C4—711no—
319C22×C22⋊C4—711no—
320C22×C22⋊C4—712no—
321C22×C42—712no—
322C22×C42—712no—
323C22×C42—712no—
324C22×C42—712no—
325C22×C42—711no—
326C22×C42C2×D7112yes—
327C22×C42C2×D7111yescharacteristic
328C4×C4⋊C4—718no—
329C4×C4⋊C4—718no—
330C4×C4⋊C4—718no—
331C4×C4⋊C4—7116no—
332C4×C4⋊C4—7116no—
333C4×C4⋊C4C2×D7118yescomplemented
334C4×C22⋊C4—7116no—
335C4×C22⋊C4—7116no—
336C2×#95—712no—
337C2×#95—712no—
338C2×#95—712no—
339C2×#95C2×D7112yes—
340C25—711no—
341C23×C4—2844no—
342C23×C4—2844no—
343C23×C4—7116no—
344C23×C4—718no—
345C23×C4—711no—
346C23×C4—718no—
347C23×C4—718no—
348C23×C4—718no—
349C23×C4—714no—
350C23×C4—711no—
351C23×C4—711no—
352C23×C4—712no—
353C23×C4—712no—
354C23×C4C22×D7111yescharacteristic
355C23×C4C22×D7111yescharacteristic
356C23×C4C22×D7112yes—
357C23×C4C22×D7112yes—
358C23×C4C22×D7111yescharacteristic
359#117—7164no—
360#117—7164no—
361C2×C4⋊C4—7116no—
362C2×C4⋊C4—718no—
363C2×C4⋊C4—718no—
364C2×C4⋊C4—718no—
365C2×C4⋊C4—718no—
366C2×C4⋊C4—718no—
367C2×C4⋊C4—714no—
368C2×C4⋊C4—714no—
369C2×C4⋊C4—714no—
370C2×C4⋊C4—714no—
371C2×C4⋊C4—7164no—
372C2×C4⋊C4C4×D7118yes—
373C2×C4⋊C4C4×D7118yescomplemented
374C2×C4⋊C4C22×D7114yes—
375C2×C4⋊C4C22×D7114yes—
376C2×C22⋊C4—7116no—
377C2×C22⋊C4—718no—
378C2×C22⋊C4—718no—
379C2×C22⋊C4—714no—
380C2×C22⋊C4—718no—
381C2×C22⋊C4—714no—
382C2×C42—44no—
383C2×C42—2844no—
384C2×C42—2844no—
385C2×C42—2844no—
386C2×C42—718no—
387C2×C42—718no—
388C2×C42—718no—
389C2×C42—7116no—
390C2×C42—718no—
391C2×C42—718no—
392C2×C42—714no—
393C2×C42C4×D7118yescomplemented
394C2×C42C22×D7118yes—
395C2×C42C22×D7114yes—
396#95—718no—
397#95—718no—
398#95—718no—
399#95C22×D7118yes—
400C24—714no—
401C24—714no—
402C24—714no—
403C24—712no—
404C24—1422no—
405C24—1422no—
406C24—1422no—
407C24—1422no—
408C24C23×D7111yescharacteristic
409C22×C4—22no—
410C22×C4—24no—
411C22×C4—24no—
412C22×C4—22no—
413C22×C4—24no—
414C22×C4—24no—
415C22×C4—22no—
416C22×C4—22no—
417C22×C4—2848no—
418C22×C4—2848no—
419C22×C4—28432no—
420C22×C4—7132no—
421C22×C4—714no—
422C22×C4—714no—
423C22×C4—714no—
424C22×C4—712no—
425C22×C4—7116no—
426C22×C4—7116no—
427C22×C4—7116no—
428C22×C4—7164no—
429C22×C4—714no—
430C22×C4—714no—
431C22×C4—718no—
432C22×C4—718no—
433C22×C4—712no—
434C22×C4—712no—
435C22×C4—714no—
436C22×C4—714no—
437C22×C4—1422no—
438C22×C4—1424no—
439C22×C4—1422no—
440C22×C4—1424no—
441C22×C4—1424no—
442C22×C4—1422no—
443C22×C4—1422no—
444C22×C4—1424no—
445C22×C4C2×C4×D7118yes—
446C22×C4C2×C4×D7114yes—
447C22×C4C2×C4×D7114yes—
448C22×C4C2×C4×D7118yes—
449C22×C4C2×C4×D7114yes—
450C22×C4C2×C4×D7114yes—
451C22×C4C2×C4×D7114yes—
452C22×C4C23×D7112yes—
453C22×C4C23×D7114yes—
454C22×C4C23×D7114yes—
455C22×C4C23×D7112yes—
456C22×C4C23×D7112yes—
457C4⋊C4—7132no—
458C4⋊C4—7116no—
459C4⋊C4—7116no—
460C4⋊C4—7116no—
461C4⋊C4—7116no—
462C4⋊C4C2×C4×D71116yes—
463C4⋊C4C2×C4×D71116yescomplemented
464C22⋊C4—7132no—
465C22⋊C4—7116no—
466C22⋊C4—7116no—
467C42—48no—
468C42—2848no—
469C42—2848no—
470C42—2848no—
471C42—7132no—
472C42—7116no—
473C42C2×C4×D71116yescomplemented
474C23—714no—
475C23—714no—
476C23—714no—
477C23—7116no—
478C23—1422no—
479C23—1422no—
480C23—1422no—
481C23—1422no—
482C23—1428no—
483C23—1428no—
484C23—1428no—
485C23—1428no—
486C23—1428no—
487C23—1428no—
488C23C22×C4×D7112yes—
489C23C22×C4×D7112yes—
490C23C22×C4×D7112yes—
491C23#1455617312yes—
492C23#1455617412yes—
493C23#1455617512yes—
494C23#1455617612yes—
495C23C24×D7111yescharacteristic
496C2×C4—22no—
497C2×C4—24no—
498C2×C4—24no—
499C2×C4—22no—
500C2×C4—24no—
501C2×C4—24no—
502C2×C4—22no—
503C2×C4—22no—
504C2×C4—216no—
505C2×C4—216no—
506C2×C4—28no—
507C2×C4—28no—
508C2×C4—28432no—
509C2×C4—714no—
510C2×C4—714no—
511C2×C4—714no—
512C2×C4—7116no—
513C2×C4—7164no—
514C2×C4—714no—
515C2×C4—714no—
516C2×C4—718no—
517C2×C4—718no—
518C2×C4—1422no—
519C2×C4—1424no—
520C2×C4—1422no—
521C2×C4—1424no—
522C2×C4—1424no—
523C2×C4—1422no—
524C2×C4—1422no—
525C2×C4—1424no—
526C2×C4—14216no—
527C2×C4—1428no—
528C2×C4—1428no—
529C2×C4—14216no—
530C2×C4C42×D71116yes—
531C2×C4C22×C4×D7118yes—
532C2×C4C22×C4×D7114yes—
533C2×C4C22×C4×D7114yes—
534C2×C4C22×C4×D7118yes—
535C2×C4C22×C4×D7114yes—
536C2×C4C22×C4×D7114yes—
537C2×C4C22×C4×D7114yes—
538C22—718no—
539C22—1424no—
540C22—1424no—
541C22—1424no—
542C22—1424no—
543C22—1424no—
544C22—1424no—
545C22—14232no—
546C22C2×C42×D7114yes—
547C22#1798647114yes—
548C22#1798647514yes—
549C22#1798647814yes—
550C22#1798647914yes—
551C22#1798648014yes—
552C22#1798648114yes—
553C22C23×C4×D7111yescharacteristic
554C22C23×C4×D7111yescharacteristic
555C22C23×C4×D7111yescharacteristic
556C22C2×#1455617311yescharacteristic
557C22C2×#1455617411yescharacteristic
558C22C2×#1455617511yescharacteristic
559C22C2×#1455617611yescharacteristic
560C4—28no—
561C4—28no—
562C4—24no—
563C4—24no—
564C4—718no—
565C4—1428no—
566C4—1424no—
567C4—1424no—
568C4—1428no—
569C4C2×C42×D7118yes—
570C2—1428no—
571C2#2259069418yesdirect product factor
572C2C22×C42×D7111yescharacteristic
573C2C2×#1798647111yescharacteristic
574C2C2×#1798647511yescharacteristic
575C2C2×#1798647811yescharacteristic
576C2C2×#1798647911yescharacteristic
577C2C2×#1798648011yescharacteristic
578C2C2×#1798648111yescharacteristic
subgroupG/H
centerC24C23×D71
commutatorC2×C71C23×C42
FrattiniC23C24×D71
FittingC2×C4×C4⋊C4×C71C2
socleC24×C71C24
prime radicalC24×D71C23
cosocleC23×C71C25
hypercenterC2×C4×C4⋊C4D71
hypocenterC71C2×#2274
LCSG ▷ C2×C71 ▷ C71
UCSC1 ◁ C24 ◁ C2×C4×C4⋊C4

Complements

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

NH ≅ G/Ntype
4. #22590694C2direct (N × H)
5. C2×C4⋊C4×Dic71C2semidirect
6. C2×C4⋊C4×Dic71C2semidirect
7. C2×C4×Dic71⋊C4C2semidirect
8. C2×C4×C4⋊Dic71C2semidirect
9. C2×#17985850C2semidirect
12. C2×C4×C4⋊C4×C71C2semidirect
15. C2×#14556086C4semidirect
17. C2×#14556085C4semidirect
24. C2×C4⋊C4×D71C4semidirect
34. C4⋊C4×Dic71C22semidirect
35. C4⋊C4×Dic71C22semidirect
36. C4×Dic71⋊C4C22semidirect
37. C4×C4⋊Dic71C22semidirect
38. #17985850C22semidirect
48. C4×C4⋊C4×C71C22semidirect
64. #14556086C2×C4semidirect
65. #14556085C2×C4semidirect
67. C2×C4⋊Dic71C2×C4semidirect
71. C2×Dic71⋊C4C2×C4semidirect
72. C2×Dic71⋊C4C2×C4semidirect
76. C4⋊C4×D71C2×C4semidirect
86. C2×C4×Dic71C2×C4semidirect
87. C2×C4×Dic71C2×C4semidirect
102. C2×C4⋊C4×C71C2×C4semidirect
106. C2×C42×C71C2×C4semidirect
141. C2×C4×D71C42semidirect
147. C4⋊Dic71C22×C4semidirect
149. Dic71⋊C4C22×C4semidirect
150. Dic71⋊C4C22×C4semidirect
157. C4×Dic71C22×C4semidirect
158. C4×Dic71C22×C4semidirect
181. C4⋊C4×C71C22×C4semidirect
183. C42×C71C22×C4semidirect
247. C4×D71C2×C42semidirect
281. C2×C71#2274semidirect
299. C2×C4×C4⋊C4D71semidirect
302. C71C2×#2274semidirect
333. C4×C4⋊C4C2×D71semidirect
373. C2×C4⋊C4C4×D71semidirect
393. C2×C42C4×D71semidirect
463. C4⋊C4C2×C4×D71semidirect
473. C42C2×C4×D71semidirect
571. C2#22590694direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#145560862
C22×#145560852
C22×C4⋊C4×D712
#225906942
C2×C4⋊C4×Dic712
C2×C4×Dic71⋊C42
C2×C4×C4⋊Dic712
C2×#179858502
C2×C4×(C2×D71)⋊C42
C2×#179858462
C2×C4×C4⋊C4×C712
C2×#227471