Finite Group Databasebeta

← C2×#19138048 #25264554

Subgroups — C2×#19138048 #25264554

Order 11008.

3830 conjugacy classes of subgroups.

The subgroup lattice has 664 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#13063305C211yesmaximal, characteristic, complemented
2C22×#13063304C211yesmaximal, characteristic, complemented
3C22×C4×C22⋊D43C211yesmaximal, characteristic
4C22×C4⋊C4×D43C211yesmaximal, characteristic, complemented
5#19138048C2116yesmaximal, direct product factor
6C2×#14582833C212yesmaximal, complemented
7C2×#14582822C212yesmaximal, complemented
8C2×#14582804C211yesmaximal, characteristic, complemented
9C2×#14582795C211yesmaximal, characteristic, complemented
10C2×#14582775C212yesmaximal
11C2×#14582758C212yesmaximal, complemented
12C2×C43×#380C211yesmaximal, characteristic, complemented
13C23×Dic86C2211yescharacteristic
14C23×C22⋊D43C2211yescharacteristic
15C23×C4×D43C2212yes—
16C23×C4×D43C2211yescharacteristic
17C2×#13063305—28no—
18C2×#13063305C2218yescomplemented
19C2×#13063304—28no—
20C2×#13063304C2218yescomplemented
21C2×C4×C22⋊D43—28no—
22C2×C4×C22⋊D43C2218yes—
23C22×C4⋊Dic43C2212yes—
24C22×C4⋊Dic43C2211yescharacteristic
25C22×Dic43⋊C4C2212yes—
26C22×Dic43⋊C4C2211yescharacteristic
27C22×Dic43⋊C4C2212yes—
28C22×Dic43⋊C4C2212yes—
29C2×C4⋊C4×D43—28no—
30C2×C4⋊C4×D43C2218yescomplemented
31C22×C22⋊Dic43C2211yescharacteristic
32C22×C22⋊Dic43C2212yes—
33C22×(C2×D43)⋊C4C2212yes—
34C22×(C2×D43)⋊C4C2211yescharacteristic
35C22×C4×Dic43C2211yescharacteristic
36#14582833C22116yescomplemented
37#14582822C22116yescomplemented
38#14582804C2218yescomplemented
39#14582795C2218yescomplemented
40#14582775C22116yes—
41#14582758C22116yescomplemented
42C2×C43⋊#95C2212yes—
43C2×C43⋊#95C2212yes—
44C2×C43⋊#95C2212yes—
45C24×C4×C43C2211yescharacteristic
46C22×C4⋊C4×C43C2211yescharacteristic
47C22×C4⋊C4×C43C2211yescharacteristic
48C22×C22⋊C4×C43C2212yes—
49C43×#380C2218yescomplemented
50C2×#95×C43C2212yes—
51C24×D43C2311yescharacteristic
52C22×Dic86—24no—
53C22×Dic86—24no—
54C22×Dic86—24no—
55C22×Dic86C2314yes—
56C22×C22⋊D43—24no—
57C22×C22⋊D43—24no—
58C22×C22⋊D43Q818yescomplemented
59C22×C22⋊D43C2314yes—
60C23×Dic43C2311yescharacteristic
61C23×Dic43C2312yes—
62C23×Dic43C2311yescharacteristic
63C23×Dic43C2312yes—
64C23×Dic43C2311yescharacteristic
65C22×C4×D43—24no—
66C22×C4×D43—24no—
67C22×C4×D43—28no—
68C22×C4×D43—28no—
69C22×C4×D43—44no—
70C22×C4×D43D418yes—
71C22×C4×D43C2318yes—
72C22×C4×D43C2314yes—
73#13063305—232no—
74#13063304—232no—
75C4×C22⋊D43—232no—
76C2×C4⋊Dic43—28no—
77C2×C4⋊Dic43D418yescomplemented
78C2×C4⋊Dic43C2318yes—
79C2×C4⋊Dic43C2314yes—
80C2×Dic43⋊C4—28no—
81C2×Dic43⋊C4—24no—
82C2×Dic43⋊C4—28no—
83C2×Dic43⋊C4—44no—
84C2×Dic43⋊C4C2318yes—
85C2×Dic43⋊C4C2314yes—
86C2×Dic43⋊C4C2318yes—
87C2×Dic43⋊C4C2318yes—
88C4⋊C4×D43—232no—
89C2×C22⋊Dic43—24no—
90C2×C22⋊Dic43—28no—
91C2×C22⋊Dic43C2314yes—
92C2×C22⋊Dic43C2318yes—
93C2×(C2×D43)⋊C4—24no—
94C2×(C2×D43)⋊C4—28no—
95C2×(C2×D43)⋊C4C2314yes—
96C2×(C2×D43)⋊C4C2318yes—
97C2×C4×Dic43—24no—
98C2×C4×Dic43C2314yes—
99C43⋊#95C2318yes—
100C43⋊#95C2318yes—
101C43⋊#95C2318yes—
102C25×C43C2311yescharacteristic
103C23×C4×C43—24no—
104C23×C4×C43—24no—
105C23×C4×C43—24no—
106C23×C4×C43C2312yes—
107C23×C4×C43C2312yes—
108C23×C4×C43C2311yescharacteristic
109C23×C4×C43C2314yes—
110C23×C4×C43C2311yescharacteristic
111C2×C4⋊C4×C43—24no—
112C2×C4⋊C4×C43—24no—
113C2×C4⋊C4×C43C2314yes—
114C2×C4⋊C4×C43C2314yes—
115C2×C22⋊C4×C43—44no—
116C2×C22⋊C4×C43C2318yes—
117#95×C43C2318yes—
118C24×C43—22no—
119C24×C43—22no—
120C24×C43—22no—
121C24×C43—22no—
122C24×C43—22no—
123C24×C43—22no—
124C24×C43C2×Q814yes—
125C24×C43C2412yes—
126C24×C43C2411yescharacteristic
127C23×D43—22no—
128C23×D43—22no—
129C23×D43—22no—
130C23×D43—22no—
131C23×D43C2×D414yes—
132C23×D43C2×Q814yes—
133C23×D43#4114yes—
134C23×D43C2412yes—
135C22×C4×C43—28no—
136C22×C4×C43—28no—
137C22×C4×C43—28no—
138C22×C4×C43—24no—
139C22×C4×C43—24no—
140C22×C4×C43—22no—
141C22×C4×C43—22no—
142C22×C4×C43—22no—
143C22×C4×C43—24no—
144C22×C4×C43—24no—
145C22×C4×C43—24no—
146C22×C4×C43—24no—
147C22×C4×C43—416no—
148C22×C4×C43C2×D414yes—
149C22×C4×C43C2×D414yes—
150C22×C4×C43#4114yes—
151C22×C4×C43C2412yes—
152C22×C4×C43C2414yes—
153C22×C4×C43C2414yes—
154C22×C4×C43C2412yes—
155C2×C22⋊D43—232no—
156C2×C22⋊D43—28no—
157C2×C22⋊D43—28no—
158C2×C22⋊D43C2×Q8116yescomplemented
159C22×Dic43—22no—
160C22×Dic43—22no—
161C22×Dic43—22no—
162C22×Dic43—24no—
163C22×Dic43—24no—
164C22×Dic43—24no—
165C22×Dic43—22no—
166C22×Dic43—22no—
167C22×Dic43—24no—
168C22×Dic43—24no—
169C22×Dic43—22no—
170C22×Dic43—22no—
171C22×Dic43C2×D418yes—
172C22×Dic43C2×D414yes—
173C22×Dic43C2×Q814yes—
174C22×Dic43C2412yes—
175C22×Dic43C2414yes—
176C22×Dic43C2414yes—
177C22×Dic43C2412yes—
178C22×Dic43C2412yes—
179C2×C4×D43—232no—
180C2×C4×D43—28no—
181C2×C4×D43—28no—
182C2×C4×D43—216no—
183C2×C4×D43—216no—
184C2×C4×D43—48no—
185C2×C4×D43—432no—
186C2×C4×D43C2×D4116yes—
187C2×Dic86—28no—
188C2×Dic86—28no—
189C2×Dic86—28no—
190C2×Dic86—416no—
191C4⋊C4×C43—28no—
192C4⋊C4×C43—28no—
193C22⋊C4×C43—48no—
194C22⋊Dic43—28no—
195C22⋊Dic43—216no—
196(C2×D43)⋊C4—28no—
197(C2×D43)⋊C4—216no—
198C4⋊Dic43—216no—
199C4⋊Dic43C2×D4116yescomplemented
200Dic43⋊C4—216no—
201Dic43⋊C4—28no—
202Dic43⋊C4—216no—
203Dic43⋊C4—48no—
204C4×Dic43—28no—
205C23×C43—28no—
206C23×C43—28no—
207C23×C43—28no—
208C23×C43—22no—
209C23×C43—22no—
210C23×C43—22no—
211C23×C43—22no—
212C23×C43—22no—
213C23×C43—22no—
214C23×C43—44no—
215C23×C43—44no—
216C23×C43—44no—
217C23×C43—44no—
218C23×C43C22×D412yes—
219C23×C43C22×D412yes—
220C23×C43C22×Q814yes—
221C23×C43C22×Q812yes—
222C23×C43C2×#4112yes—
223C23×C43C2×#4112yes—
224C23×C43H(5,𝔽2)12yes—
225C23×C432−1+412yes—
226C23×C43C2511yescharacteristic
227C22×D43—28no—
228C22×D43—28no—
229C22×D43—28no—
230C22×D43—28no—
231C22×D43—28no—
232C22×D43—28no—
233C22×D43—22no—
234C22×D43—22no—
235C22×D43—22no—
236C22×D43—22no—
237C22×D43C22⋊Q8116yescomplemented
238C22×D43C22×D414yes—
239C22×D43C22×Q814yes—
240C22×D43C2×#4114yes—
241C2×C4×C43—22no—
242C2×C4×C43—22no—
243C2×C4×C43—24no—
244C2×C4×C43—24no—
245C2×C4×C43—24no—
246C2×C4×C43—22no—
247C2×C4×C43—24no—
248C2×C4×C43—24no—
249C2×C4×C43—24no—
250C2×C4×C43—44no—
251C2×C4×C43—48no—
252C2×C4×C43—48no—
253C2×C4×C43—416no—
254C2×C4×C43#121116yes—
255C2×C4×C43C22×D414yes—
256C2×C4×C43C22×D414yes—
257C2×C4×C43C2×#4114yes—
258C22⋊D43—232no—
259C2×Dic43—28no—
260C2×Dic43—28no—
261C2×Dic43—216no—
262C2×Dic43—22no—
263C2×Dic43—22no—
264C2×Dic43—24no—
265C2×Dic43—22no—
266C2×Dic43—22no—
267C2×Dic43—24no—
268C2×Dic43—22no—
269C2×Dic43—24no—
270C2×Dic43—24no—
271C2×Dic43—24no—
272C2×Dic43—22no—
273C2×Dic43—22no—
274C2×Dic43—48no—
275C2×Dic43—44no—
276C2×Dic43C22×D418yes—
277C2×Dic43C22×D414yes—
278C2×Dic43C22×Q814yes—
279C4×D43—232no—
280C4×D43—432no—
281Dic86—416no—
282C2×#2417—431nomaximal, Sylow
283C22×C43—24no—
284C22×C43—24no—
285C22×C43—24no—
286C22×C43—42no—
287C22×C43—416no—
288C22×C43—42no—
289C22×C43—42no—
290C22×C43—42no—
291C22×C43C2×#12114yes—
292C22×C43C2×C22⋊Q814yes—
293C22×C43#53714yes—
294C22×C43#54614yes—
295C22×C43D4×Q814yes—
296C22×C43#55214yes—
297C22×C43#55414yes—
298C22×C43C23×D411yescharacteristic
299C22×C43C23×D411yescharacteristic
300C22×C43C23×Q811yescharacteristic
301C22×C43C22×#4111yescharacteristic
302C22×C43C22×#4111yescharacteristic
303C22×C43C2×H(5,𝔽2)11yescharacteristic
304C22×C43C2×2−1+411yescharacteristic
305C2×D43—24no—
306C2×D43—232no—
307C2×D43—24no—
308C2×D43—24no—
309C2×D43—24no—
310C2×D43—24no—
311C2×D43—24no—
312C2×D43C2×C22⋊Q818yescomplemented
313C4×C43—42no—
314C4×C43—44no—
315C4×C43—44no—
316C4×C43C2×#12118yes—
317Dic43—24no—
318Dic43—24no—
319Dic43—28no—
320Dic43—44no—
321Dic43—42no—
322C22×C22⋊Q8—431no—
323C22×C22⋊Q8—431no—
324C22×C4×D4—431no—
325C23×C4⋊C4—431no—
326#2417—4316no—
327C2×#398—432no—
328C2×#396—432no—
329C2×#391—431no—
330C2×#389—431no—
331C2×#386—432no—
332C2×#380—432no—
333C2×#380D4311yescharacteristic, complemented
334C2×C43—44no—
335C2×C43#241718yescomplemented
336C2×C43C22×#12111yescharacteristic
337C2×C43C22×C22⋊Q811yescharacteristic
338C2×C43C2×#53711yescharacteristic
339C2×C43C2×#54611yescharacteristic
340C2×C43C2×D4×Q811yescharacteristic
341C2×C43C2×#55211yescharacteristic
342C2×C43C2×#55411yescharacteristic
343D43—28no—
344C23×Q8—431no—
345C23×D4—431no—
346C24×C4—431no—
347C24×C4—432no—
348C24×C4C2×D4311yescharacteristic
349C2×C22⋊Q8—438no—
350C2×C22⋊Q8—438no—
351C2×C22⋊Q8—868no—
352C2×C22⋊Q8—868no—
353C2×C4×D4—438no—
354C2×C4×D4—868no—
355C22×C4⋊C4—431no—
356C22×C4⋊C4—432no—
357C22×C4⋊C4—431no—
358C22×C4⋊C4—432no—
359C22×C4⋊C4—432no—
360C22×C4⋊C4—432no—
361C22×C4⋊C4—438no—
362C22×C4⋊C4—868no—
363C22×C4⋊C4C2×D4311yescharacteristic
364C22×C4⋊C4C2×D4311yescharacteristic
365C22×C22⋊C4—431no—
366C22×C22⋊C4—432no—
367C22×C22⋊C4—431no—
368C22×C22⋊C4—432no—
369C22×C22⋊C4C2×D4312yes—
370C22×C42—431no—
371#398—4316no—
372#396—4316no—
373#391—438no—
374#389—438no—
375#386—4316no—
376#380—4316no—
377#380C2×D4318yescomplemented
378C2×#95—432no—
379C2×#95—432no—
380C2×#95—432no—
381C2×#95C2×D4312yes—
382C43C2×#241711yescharacteristic, complemented, Sylow
383C25—431no—
384C25C22×D4311yescharacteristic
385C22×Q8—434no—
386C22×Q8—864no—
387C22×Q8—864no—
388C22×Q8—864no—
389C22×D4—438no—
390C22×D4—434no—
391C22×D4—864no—
392C22×D4—864no—
393C23×C4—24no—
394C23×C4—24no—
395C23×C4—24no—
396C23×C4—431no—
397C23×C4—432no—
398C23×C4—431no—
399C23×C4—438no—
400C23×C4—434no—
401C23×C4—432no—
402C23×C4—431no—
403C23×C4—438no—
404C23×C4—868no—
405C23×C4—868no—
406C23×C4—864no—
407C23×C4—864no—
408C23×C4—1724no—
409C23×C4C22×D4314yes—
410C23×C4C22×D4312yes—
411C23×C4C22×D4311yescharacteristic
412C23×C4C22×D4312yes—
413C23×C4C22×D4311yescharacteristic
414C22⋊Q8—8632no—
415C22⋊Q8—8632no—
416C4×D4—8632no—
417C2×C4⋊C4—24no—
418C2×C4⋊C4—24no—
419C2×C4⋊C4—438no—
420C2×C4⋊C4—434no—
421C2×C4⋊C4—438no—
422C2×C4⋊C4—434no—
423C2×C4⋊C4—438no—
424C2×C4⋊C4—438no—
425C2×C4⋊C4—438no—
426C2×C4⋊C4—8632no—
427C2×C4⋊C4—868no—
428C2×C4⋊C4—864no—
429C2×C4⋊C4—868no—
430C2×C4⋊C4—868no—
431C2×C4⋊C4—1724no—
432C2×C4⋊C4C22×D4314yes—
433C2×C4⋊C4C22×D4314yes—
434C2×C22⋊C4—44no—
435C2×C22⋊C4—434no—
436C2×C22⋊C4—438no—
437C2×C22⋊C4—434no—
438C2×C22⋊C4—438no—
439C2×C22⋊C4—864no—
440C2×C22⋊C4—868no—
441C2×C22⋊C4—864no—
442C2×C22⋊C4—868no—
443C2×C22⋊C4C22×D4318yes—
444C2×C42—434no—
445C2×C42—864no—
446#95—438no—
447#95—438no—
448#95—438no—
449#95C22×D4318yes—
450C24—22no—
451C24—22no—
452C24—22no—
453C24—22no—
454C24—22no—
455C24—22no—
456C24—434no—
457C24—434no—
458C24—434no—
459C24—432no—
460C24—862no—
461C24—862no—
462C24—862no—
463C24—862no—
464C24Q8×D4314yes—
465C24C23×D4312yes—
466C24C23×D4311yescharacteristic
467C2×Q8—868no—
468C2×Q8—868no—
469C2×Q8—868no—
470C2×Q8—17216no—
471C2×D4—4316no—
472C2×D4—868no—
473C2×D4—8632no—
474C2×D4—868no—
475C22×C4—24no—
476C22×C4—22no—
477C22×C4—24no—
478C22×C4—22no—
479C22×C4—24no—
480C22×C4—22no—
481C22×C4—24no—
482C22×C4—24no—
483C22×C4—24no—
484C22×C4—28no—
485C22×C4—28no—
486C22×C4—28no—
487C22×C4—416no—
488C22×C4—438no—
489C22×C4—434no—
490C22×C4—434no—
491C22×C4—432no—
492C22×C4—434no—
493C22×C4—432no—
494C22×C4—4316no—
495C22×C4—432no—
496C22×C4—434no—
497C22×C4—8616no—
498C22×C4—8616no—
499C22×C4—862no—
500C22×C4—862no—
501C22×C4—864no—
502C22×C4—862no—
503C22×C4—862no—
504C22×C4—864no—
505C22×C4—8632no—
506C22×C4—868no—
507C22×C4—868no—
508C22×C4—862no—
509C22×C4—864no—
510C22×C4—864no—
511C22×C4—864no—
512C22×C4—862no—
513C22×C4—862no—
514C22×C4—1728no—
515C22×C4—17232no—
516C22×C4#1062189814yes—
517C22×C4D4×D4314yes—
518C22×C4D4×D4314yes—
519C22×C4C23×D4314yes—
520C22×C4C23×D4314yes—
521C22×C4C23×D4312yes—
522C22×C4C23×D4312yes—
523C4⋊C4—28no—
524C4⋊C4—28no—
525C4⋊C4—4316no—
526C4⋊C4—8616no—
527C4⋊C4—868no—
528C4⋊C4—8616no—
529C4⋊C4—8616no—
530C4⋊C4—1728no—
531C22⋊C4—48no—
532C22⋊C4—868no—
533C22⋊C4—8616no—
534C22⋊C4—868no—
535C22⋊C4—8616no—
536C42—868no—
537C23—28no—
538C23—28no—
539C23—28no—
540C23—22no—
541C23—22no—
542C23—22no—
543C23—22no—
544C23—22no—
545C23—22no—
546C23—44no—
547C23—44no—
548C23—44no—
549C23—44no—
550C23—4316no—
551C23—434no—
552C23—434no—
553C23—434no—
554C23—868no—
555C23—868no—
556C23—868no—
557C23—868no—
558C23—862no—
559C23—862no—
560C23—862no—
561C23—862no—
562C23—868no—
563C23—868no—
564C23C2×D4×D4312yes—
565C23C2×D4×D4312yes—
566C23C2×Q8×D4314yes—
567C23C2×Q8×D4312yes—
568C23#41×D4312yes—
569C23C2×#1062189812yes—
570C23#1306337012yes—
571C23#1306337212yes—
572C23C24×D4311yescharacteristic
573Q8—17216no—
574D4—8632no—
575C2×C4—24no—
576C2×C4—22no—
577C2×C4—24no—
578C2×C4—22no—
579C2×C4—24no—
580C2×C4—22no—
581C2×C4—24no—
582C2×C4—24no—
583C2×C4—24no—
584C2×C4—44no—
585C2×C4—48no—
586C2×C4—48no—
587C2×C4—416no—
588C2×C4—438no—
589C2×C4—434no—
590C2×C4—434no—
591C2×C4—868no—
592C2×C4—868no—
593C2×C4—862no—
594C2×C4—862no—
595C2×C4—864no—
596C2×C4—862no—
597C2×C4—862no—
598C2×C4—864no—
599C2×C4—8616no—
600C2×C4—8632no—
601C2×C4—862no—
602C2×C4—864no—
603C2×C4—864no—
604C2×C4—864no—
605C2×C4—862no—
606C2×C4—862no—
607C2×C4—17232no—
608C2×C4—1728no—
609C2×C4—1724no—
610C2×C4#13063298116yes—
611C2×C4C2×D4×D4314yes—
612C2×C4C2×D4×D4314yes—
613C2×C4C2×#1062189814yes—
614C22—24no—
615C22—24no—
616C22—24no—
617C22—416no—
618C22—42no—
619C22—42no—
620C22—42no—
621C22—42no—
622C22—438no—
623C22—8632no—
624C22—864no—
625C22—864no—
626C22—864no—
627C22—864no—
628C22—864no—
629C22—864no—
630C22C2×#1306329814yes—
631C22C22⋊Q8×D4314yes—
632C22#1458347814yes—
633C22#1458354614yes—
634C22#1458356214yes—
635C22#1458358814yes—
636C22#1458360414yes—
637C22C22×D4×D4311yescharacteristic
638C22C22×D4×D4311yescharacteristic
639C22C22×Q8×D4311yescharacteristic
640C22C2×#41×D4311yescharacteristic
641C22C22×#1062189811yescharacteristic
642C22C2×#1306337011yescharacteristic
643C22C2×#1306337211yescharacteristic
644C4—44no—
645C4—42no—
646C4—44no—
647C4—868no—
648C4—864no—
649C4—864no—
650C4—1724no—
651C4—1722no—
652C4C2×#1306329818yes—
653C2—44no—
654C2—868no—
655C2#1913804818yesdirect product factor
656C2C22×#1306329811yescharacteristic
657C2C2×C22⋊Q8×D4311yescharacteristic
658C2C2×#1458347811yescharacteristic
659C2C2×#1458354611yescharacteristic
660C2C2×#1458356211yescharacteristic
661C2C2×#1458358811yescharacteristic
662C2C2×#1458360411yescharacteristic
subgroupG/H
centerC24C23×D43
commutator, cosocleC23×C43C25
FrattiniC23C24×D43
FittingC2×C43×#380C2
socleC24×C43C24
prime radicalC23×C22⋊D43C22
hypercenterC2×#380D43
hypocenterC43C2×#2417
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C24 ◁ C2×#380

Complements

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

NH ≅ G/Ntype
1. C22×#13063305C2semidirect
2. C22×#13063304C2semidirect
4. C22×C4⋊C4×D43C2semidirect
5. #19138048C2direct (N × H)
6. C2×#14582833C2semidirect
7. C2×#14582822C2semidirect
8. C2×#14582804C2semidirect
9. C2×#14582795C2semidirect
11. C2×#14582758C2semidirect
12. C2×C43×#380C2semidirect
18. C2×#13063305C22semidirect
20. C2×#13063304C22semidirect
30. C2×C4⋊C4×D43C22semidirect
36. #14582833C22semidirect
37. #14582822C22semidirect
38. #14582804C22semidirect
39. #14582795C22semidirect
41. #14582758C22semidirect
49. C43×#380C22semidirect
58. C22×C22⋊D43Q8semidirect
77. C2×C4⋊Dic43D4semidirect
158. C2×C22⋊D43C2×Q8semidirect
199. C4⋊Dic43C2×D4semidirect
237. C22×D43C22⋊Q8semidirect
312. C2×D43C2×C22⋊Q8semidirect
333. C2×#380D43semidirect
335. C2×C43#2417semidirect
377. #380C2×D43semidirect
382. C43C2×#2417semidirect
655. C2#19138048direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#130633052
C22×#130633042
C22×C4×C22⋊D432
C22×C4⋊C4×D432
#191380482
C2×#145828332
C2×#145828222
C2×#145828042
C2×#145827952
C2×#145827752
C2×#145827582
C2×C43×#3802
C2×#241743