Finite Group Databasebeta

← #4307601

Subgroups — #4307601

Order 512.

3364 conjugacy classes of subgroups.

The subgroup lattice has 782 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2352C212yesmaximal, complemented
2C2×D4×C4⋊C4C211yesmaximal, characteristic, complemented
3C2×#2347C211yesmaximal, characteristic, complemented
4#15242C211yesmaximal, characteristic, complemented
5#15220C212yesmaximal, complemented
6#15206C212yesmaximal, complemented
7#15195C211yesmaximal, characteristic, complemented
8#15129C211yesmaximal, characteristic, complemented
9#15129C212yesmaximal, complemented
10#14972C212yesmaximal, complemented
11#14925C214yesmaximal, complemented
12#14806C212yesmaximal
13#14750C214yesmaximal, complemented
14C4×#394C212yesmaximal, complemented
15C4×#392C211yesmaximal, characteristic
16#13818C211yesmaximal, characteristic, complemented
17C22⋊C4×C4⋊C4C212yesmaximal, complemented
18C22×C4×D4C2211yescharacteristic
19C22×C4×D4C2212yes—
20C22×C4×D4C2212yes—
21C22×#117C2211yescharacteristic
22C23×C4⋊C4C2212yes—
23C2×#394C2212yes—
24C2×#394C2214yes—
25C2×#392C2211yescharacteristic
26#2352—216no—
27D4×C4⋊C4—28no—
28#2347—28no—
29C2×#389C2211yescharacteristic
30C2×#389C2212yes—
31C2×#389C2211yescharacteristic
32C2×#389C2212yes—
33C2×#388C2212yes—
34C2×#388C2212yes—
35C2×#388C2214yes—
36C2×#387C2214yes—
37C2×#386C2214yes—
38C2×#385C2214yes—
39C2×#384C2211yescharacteristic
40C2×#383C2212yes—
41C2×#382C2212yes—
42C2×#380C2211yescharacteristic
43C2×#380C2212yes—
44C2×#380C2212yes—
45C2×#380C2212yes—
46C2×#380C2212yes—
47C2×C4×C4⋊C4C2212yes—
48C2×C4×C4⋊C4C2211yescharacteristic
49C2×C4×C4⋊C4C2212yes—
50C2×C4×C4⋊C4C2211yescharacteristic
51C2×C4×C22⋊C4C2211yescharacteristic
52C2×C4×C22⋊C4C2212yes—
53C2×C4×C22⋊C4C2214yes—
54C2×C4×C22⋊C4C2214yes—
55#1445C2214yes—
56#1444C2211yescharacteristic
57#1443C2214yes—
58#1442C2212yes—
59#1442C2212yes—
60#1441C2214yes—
61#1441C2212yes—
62#1441C2212yes—
63#1441C2214yes—
64#1441C2212yes—
65#1440C2214yes—
66#1440C2214yes—
67#1440C2214yes—
68#1439C2212yes—
69#1439C2211yescharacteristic
70#1439C2214yes—
71#1439C2214yes—
72#1439C2212yes—
73#1439C2212yes—
74#1438C2211yescharacteristic
75#1438C2212yes—
76#1436C2214yes—
77#1436C2214yes—
78#1436C2214yes—
79C4⋊#95C2211yescharacteristic
80C4⋊#95C2212yes—
81C4⋊#95C2212yes—
82C4⋊#95C2212yes—
83C22⋊#95C2214yes—
84C4×#95C2211yescharacteristic
85C4×#95C2212yes—
86C23×D4C2311yescharacteristic
87C23×D4C2312yes—
88C24×C4C2311yescharacteristic
89C24×C4C2312yes—
90C24×C4C2314yes—
91C2×C4×D4—28no—
92C2×C4×D4—28no—
93C2×C4×D4—28no—
94C2×C4×D4—24no—
95C2×C4×D4—28no—
96C2×C4×D4—28no—
97C2×C4×D4—48no—
98C2×#117—24no—
99C2×#117—24no—
100C2×#117D418yescomplemented
101C22×C4⋊C4—28no—
102C22×C4⋊C4—28no—
103C22×C4⋊C4—28no—
104C22×C4⋊C4C2312yes—
105C22×C4⋊C4C2312yes—
106C22×C4⋊C4C2314yes—
107C22×C4⋊C4C2312yes—
108C22×C4⋊C4C2311yescharacteristic
109C22×C4⋊C4C2312yes—
110C22×C4⋊C4C2311yescharacteristic
111C22×C4⋊C4C2312yes—
112C22×C4⋊C4C2311yescharacteristic
113C22×C4⋊C4C2311yescharacteristic
114C22×C4⋊C4C2314yes—
115C22×C4⋊C4C2312yes—
116C22×C4⋊C4C2312yes—
117C22×C4⋊C4C2311yescharacteristic
118C22×C22⋊C4C2311yescharacteristic
119C22×C22⋊C4C2314yes—
120C22×C22⋊C4C2312yes—
121C22×C22⋊C4C2312yes—
122C22×C22⋊C4C2312yes—
123C22×C22⋊C4C2312yes—
124C22×C22⋊C4C2312yes—
125C22×C22⋊C4C2314yes—
126C22×C22⋊C4C2314yes—
127C22×C22⋊C4C2311yescharacteristic
128C22×C22⋊C4C2312yes—
129C22×C22⋊C4C2312yes—
130C22×C22⋊C4C2314yes—
131C22×C42C2311yescharacteristic
132C22×C42C2312yes—
133C22×C42C2311yescharacteristic
134C22×C42C2312yes—
135C22×C42C2314yes—
136C22×C42C2312yes—
137C22×C42C2312yes—
138#394—28no—
139#394—48no—
140#392—24no—
141#389—24no—
142#389—24no—
143#389—28no—
144#389—28no—
145#388—216no—
146#388—28no—
147#388—28no—
148#387—216no—
149#386—216no—
150#385—216no—
151#384—24no—
152#383—28no—
153#382—28no—
154#380—28no—
155#380—28no—
156#380—24no—
157#380—28no—
158#380—28no—
159C4×C4⋊C4—24no—
160C4×C4⋊C4—28no—
161C4×C4⋊C4—28no—
162C4×C4⋊C4D418yescomplemented
163C4×C22⋊C4—24no—
164C4×C22⋊C4—216no—
165C4×C22⋊C4—28no—
166C4×C22⋊C4—48no—
167C2×#95C2311yescharacteristic
168C2×#95C2312yes—
169C2×#95C2311yescharacteristic
170C2×#95C2314yes—
171C2×#95C2312yes—
172C2×#95C2314yes—
173C2×#95C2312yes—
174C2×#95C2312yes—
175C2×#95C2314yes—
176C2×#95C2311yescharacteristic
177C2×#95C2311yescharacteristic
178C2×#95C2312yes—
179C2×#95C2314yes—
180C2×#95C2314yes—
181C2×#95C2312yes—
182C2×#95C2312yes—
183C2×#95C2314yes—
184C2×#95C2314yes—
185C2×#95C2314yes—
186C2×#95C2314yes—
187C2×#95C2312yes—
188C2×#95C2314yes—
189C2×#95C2312yes—
190C2×#95C2314yes—
191C2×#95C2314yes—
192C2×#95C2312yes—
193C25C2411yescharacteristic
194C25C2412yes—
195C22×D4—24no—
196C22×D4—24no—
197C22×D4—24no—
198C22×D4—24no—
199C22×D4—24no—
200C22×D4—24no—
201C22×D4—22no—
202C22×D4—24no—
203C22×D4—22no—
204C22×D4—42no—
205C22×D4—42no—
206C22×D4#4114yes—
207C23×C4—24no—
208C23×C4—24no—
209C23×C4—22no—
210C23×C4—24no—
211C23×C4—22no—
212C23×C4—24no—
213C23×C4—24no—
214C23×C4—24no—
215C23×C4—24no—
216C23×C4—24no—
217C23×C4—28no—
218C23×C4—28no—
219C23×C4—28no—
220C23×C4—28no—
221C23×C4—44no—
222C23×C4—44no—
223C23×C4—44no—
224C23×C4C2×D414yes—
225C23×C4#4118yes—
226C23×C4C2414yes—
227C23×C4C2412yes—
228C23×C4C2411yescharacteristic
229C23×C4C2414yes—
230C23×C4C2412yes—
231C23×C4C2412yes—
232C23×C4C2411yescharacteristic
233C23×C4C2411yescharacteristic
234C23×C4C2412yes—
235C23×C4C2412yes—
236C23×C4C2412yes—
237C23×C4C2411yescharacteristic
238C23×C4C2412yes—
239C23×C4C2411yescharacteristic
240C23×C4C2411yescharacteristic
241C4×D4—232no—
242C4×D4—264no—
243C4×D4—432no—
244#117—232no—
245C2×C4⋊C4—22no—
246C2×C4⋊C4—24no—
247C2×C4⋊C4—22no—
248C2×C4⋊C4—22no—
249C2×C4⋊C4—24no—
250C2×C4⋊C4—24no—
251C2×C4⋊C4—24no—
252C2×C4⋊C4—24no—
253C2×C4⋊C4—24no—
254C2×C4⋊C4—24no—
255C2×C4⋊C4—28no—
256C2×C4⋊C4—28no—
257C2×C4⋊C4—24no—
258C2×C4⋊C4—24no—
259C2×C4⋊C4—22no—
260C2×C4⋊C4—24no—
261C2×C4⋊C4—24no—
262C2×C4⋊C4—28no—
263C2×C4⋊C4—24no—
264C2×C4⋊C4—24no—
265C2×C4⋊C4—24no—
266C2×C4⋊C4—24no—
267C2×C4⋊C4—24no—
268C2×C4⋊C4—24no—
269C2×C4⋊C4—24no—
270C2×C4⋊C4—24no—
271C2×C4⋊C4—28no—
272C2×C4⋊C4—42no—
273C2×C4⋊C4—44no—
274C2×C4⋊C4—432no—
275C2×C4⋊C4—44no—
276C2×C4⋊C4—44no—
277C2×C4⋊C4—44no—
278C2×C4⋊C4C2×D414yes—
279C2×C4⋊C4C2×D414yes—
280C2×C4⋊C4C2×D414yes—
281C2×C4⋊C4C2×D414yes—
282C2×C4⋊C4#4114yes—
283C2×C22⋊C4—24no—
284C2×C22⋊C4—24no—
285C2×C22⋊C4—24no—
286C2×C22⋊C4—24no—
287C2×C22⋊C4—24no—
288C2×C22⋊C4—24no—
289C2×C22⋊C4—24no—
290C2×C22⋊C4—24no—
291C2×C22⋊C4—24no—
292C2×C22⋊C4—24no—
293C2×C22⋊C4—24no—
294C2×C22⋊C4—24no—
295C2×C22⋊C4—24no—
296C2×C22⋊C4—24no—
297C2×C22⋊C4—28no—
298C2×C22⋊C4—24no—
299C2×C22⋊C4—28no—
300C2×C22⋊C4—28no—
301C2×C22⋊C4—28no—
302C2×C22⋊C4—28no—
303C2×C22⋊C4—28no—
304C2×C22⋊C4—28no—
305C2×C22⋊C4—22no—
306C2×C22⋊C4—22no—
307C2×C22⋊C4—24no—
308C2×C22⋊C4—22no—
309C2×C22⋊C4—22no—
310C2×C22⋊C4—22no—
311C2×C22⋊C4—28no—
312C2×C22⋊C4—24no—
313C2×C22⋊C4—41no—
314C2×C22⋊C4—42no—
315C2×C22⋊C4—44no—
316C2×C22⋊C4—44no—
317C2×C22⋊C4—44no—
318C2×C22⋊C4—44no—
319C2×C22⋊C4—44no—
320C2×C22⋊C4C2×D418yes—
321C2×C42—24no—
322C2×C42—24no—
323C2×C42—24no—
324C2×C42—24no—
325C2×C42—24no—
326C2×C42—22no—
327C2×C42—24no—
328C2×C42—28no—
329C2×C42—24no—
330C2×C42—44no—
331C2×C42—44no—
332C2×C42—44no—
333C2×C42—44no—
334C2×C42C2×D418yes—
335C2×C42C2×D414yes—
336C2×C42C2×D418yes—
337C2×C42#4118yes—
338#95—22no—
339#95—28no—
340#95—28no—
341#95—22no—
342#95—24no—
343#95—24no—
344#95—28no—
345#95—28no—
346#95—28no—
347#95—28no—
348#95—24no—
349#95—24no—
350#95—24no—
351#95—24no—
352#95—28no—
353#95—28no—
354#95—22no—
355#95—24no—
356#95—22no—
357#95—42no—
358#95—42no—
359#95—44no—
360#95—44no—
361#95—44no—
362#95—44no—
363#95C2×D418yes—
364C24—22no—
365C24—22no—
366C24—22no—
367C24—22no—
368C24—22no—
369C24—22no—
370C24—22no—
371C24—22no—
372C24—22no—
373C24—22no—
374C24—22no—
375C24—22no—
376C24—21no—
377C24—21no—
378C24—22no—
379C24—22no—
380C24—21no—
381C24—22no—
382C24—21no—
383C24—21no—
384C24—22no—
385C24—21no—
386C24C22×D412yes—
387C24C2×#4114yes—
388C24C2×#4114yes—
389C24H(5,𝔽2)14yes—
390C24C2511yescharacteristic
391C2×D4—28no—
392C2×D4—28no—
393C2×D4—216no—
394C2×D4—216no—
395C2×D4—216no—
396C2×D4—28no—
397C2×D4—48no—
398C2×D4—48no—
399C2×D4—48no—
400C2×D4—48no—
401C2×D4—48no—
402C2×D4—48no—
403C22×C4—22no—
404C22×C4—24no—
405C22×C4—22no—
406C22×C4—24no—
407C22×C4—21no—
408C22×C4—22no—
409C22×C4—22no—
410C22×C4—22no—
411C22×C4—22no—
412C22×C4—22no—
413C22×C4—21no—
414C22×C4—22no—
415C22×C4—22no—
416C22×C4—22no—
417C22×C4—24no—
418C22×C4—21no—
419C22×C4—22no—
420C22×C4—22no—
421C22×C4—22no—
422C22×C4—22no—
423C22×C4—22no—
424C22×C4—22no—
425C22×C4—22no—
426C22×C4—22no—
427C22×C4—22no—
428C22×C4—22no—
429C22×C4—22no—
430C22×C4—22no—
431C22×C4—22no—
432C22×C4—24no—
433C22×C4—22no—
434C22×C4—21no—
435C22×C4—22no—
436C22×C4—22no—
437C22×C4—22no—
438C22×C4—22no—
439C22×C4—21no—
440C22×C4—22no—
441C22×C4—22no—
442C22×C4—22no—
443C22×C4—22no—
444C22×C4—21no—
445C22×C4—22no—
446C22×C4—22no—
447C22×C4—28no—
448C22×C4—216no—
449C22×C4—216no—
450C22×C4—216no—
451C22×C4—216no—
452C22×C4—21no—
453C22×C4—24no—
454C22×C4—22no—
455C22×C4—24no—
456C22×C4—24no—
457C22×C4—22no—
458C22×C4—24no—
459C22×C4—24no—
460C22×C4—24no—
461C22×C4—24no—
462C22×C4—21no—
463C22×C4—22no—
464C22×C4—24no—
465C22×C4—24no—
466C22×C4—24no—
467C22×C4—24no—
468C22×C4—24no—
469C22×C4—21no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—24no—
473C22×C4—24no—
474C22×C4—24no—
475C22×C4—24no—
476C22×C4—416no—
477C22×C4—416no—
478C22×C4—416no—
479C22×C4—48no—
480C22×C4—48no—
481C22×C4—44no—
482C22×C4—48no—
483C22×C4—48no—
484C22×C4—48no—
485C22×C4—44no—
486C22×C4—416no—
487C22×C4—88no—
488C22×C4—88no—
489C22×C4—88no—
490C22×C4C22×D414yes—
491C22×C4C22×D414yes—
492C22×C4C22×D412yes—
493C22×C4C22×D412yes—
494C22×C4C22×D414yes—
495C22×C4C22×D414yes—
496C22×C4C22×D412yes—
497C22×C4C22×D412yes—
498C22×C4C22×D412yes—
499C22×C4C2×#4114yes—
500C22×C4C2×#4114yes—
501C22×C4C2×#4114yes—
502C22×C4C2×#4114yes—
503C22×C4C2×#4112yes—
504C22×C4C2×#4112yes—
505C22×C4C2×#4114yes—
506C22×C4C2×#4114yes—
507C22×C42−1+412yes—
508C22×C42−1+412yes—
509C4⋊C4—28no—
510C4⋊C4—216no—
511C4⋊C4—28no—
512C4⋊C4—28no—
513C4⋊C4—48no—
514C4⋊C4—48no—
515C4⋊C4—416no—
516C4⋊C4—48no—
517C4⋊C4—48no—
518C4⋊C4—44no—
519C4⋊C4—48no—
520C4⋊C4—88no—
521C4⋊C4—84no—
522C4⋊C4#121116yes—
523C22⋊C4—216no—
524C22⋊C4—216no—
525C22⋊C4—216no—
526C22⋊C4—216no—
527C22⋊C4—216no—
528C22⋊C4—44no—
529C22⋊C4—416no—
530C22⋊C4—48no—
531C22⋊C4—416no—
532C22⋊C4—416no—
533C22⋊C4—44no—
534C22⋊C4—84no—
535C22⋊C4—88no—
536C42—216no—
537C42—28no—
538C42—216no—
539C42—48no—
540C42—44no—
541C42—84no—
542C42—88no—
543C23—24no—
544C23—24no—
545C23—24no—
546C23—24no—
547C23—24no—
548C23—24no—
549C23—24no—
550C23—24no—
551C23—24no—
552C23—24no—
553C23—24no—
554C23—24no—
555C23—24no—
556C23—24no—
557C23—24no—
558C23—24no—
559C23—24no—
560C23—24no—
561C23—22no—
562C23—24no—
563C23—22no—
564C23—24no—
565C23—22no—
566C23—42no—
567C23—42no—
568C23—42no—
569C23—42no—
570C23—42no—
571C23—42no—
572C23—42no—
573C23—42no—
574C23—42no—
575C23—42no—
576C23—42no—
577C23—42no—
578C23—42no—
579C23—42no—
580C23—42no—
581C23—42no—
582C23—41no—
583C23—42no—
584C23—41no—
585C23—41no—
586C23—42no—
587C23—42no—
588C23—41no—
589C23—41no—
590C23—41no—
591C23—42no—
592C23—42no—
593C23—42no—
594C23—42no—
595C23—41no—
596C23—42no—
597C23—42no—
598C23—42no—
599C23—41no—
600C23#55318yes—
601C23C23×D411yescharacteristic
602C23C23×D411yescharacteristic
603C23C22×#4111yescharacteristic
604C23C22×#4112yes—
605C23C22×#4112yes—
606C23C22×#4111yescharacteristic
607C23C2×H(5,𝔽2)12yes—
608C23C2×2−1+411yescharacteristic
609C23C2×2−1+411yescharacteristic
610C23#58511yescharacteristic
611C23#58512yes—
612D4—232no—
613D4—432no—
614C2×C4—22no—
615C2×C4—24no—
616C2×C4—22no—
617C2×C4—24no—
618C2×C4—28no—
619C2×C4—24no—
620C2×C4—24no—
621C2×C4—28no—
622C2×C4—22no—
623C2×C4—24no—
624C2×C4—22no—
625C2×C4—24no—
626C2×C4—24no—
627C2×C4—24no—
628C2×C4—24no—
629C2×C4—24no—
630C2×C4—24no—
631C2×C4—24no—
632C2×C4—24no—
633C2×C4—24no—
634C2×C4—24no—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—24no—
638C2×C4—24no—
639C2×C4—24no—
640C2×C4—24no—
641C2×C4—24no—
642C2×C4—22no—
643C2×C4—24no—
644C2×C4—42no—
645C2×C4—42no—
646C2×C4—41no—
647C2×C4—42no—
648C2×C4—42no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—42no—
652C2×C4—42no—
653C2×C4—42no—
654C2×C4—42no—
655C2×C4—42no—
656C2×C4—41no—
657C2×C4—42no—
658C2×C4—42no—
659C2×C4—42no—
660C2×C4—44no—
661C2×C4—42no—
662C2×C4—42no—
663C2×C4—42no—
664C2×C4—44no—
665C2×C4—42no—
666C2×C4—42no—
667C2×C4—42no—
668C2×C4—42no—
669C2×C4—42no—
670C2×C4—432no—
671C2×C4—416no—
672C2×C4—44no—
673C2×C4—44no—
674C2×C4—42no—
675C2×C4—41no—
676C2×C4—41no—
677C2×C4—42no—
678C2×C4—44no—
679C2×C4—44no—
680C2×C4—44no—
681C2×C4—42no—
682C2×C4—44no—
683C2×C4—42no—
684C2×C4—44no—
685C2×C4—44no—
686C2×C4—44no—
687C2×C4—44no—
688C2×C4—44no—
689C2×C4—44no—
690C2×C4—44no—
691C2×C4—44no—
692C2×C4—41no—
693C2×C4—42no—
694C2×C4—44no—
695C2×C4—44no—
696C2×C4—832no—
697C2×C4C2×#12118yes—
698C2×C4C2×#12114yes—
699C2×C4#52518yes—
700C2×C4#52514yes—
701C2×C4#52918yes—
702C2×C4#53214yes—
703C2×C4#54814yes—
704C22—28no—
705C22—28no—
706C22—28no—
707C22—44no—
708C22—44no—
709C22—44no—
710C22—44no—
711C22—44no—
712C22—44no—
713C22—44no—
714C22—44no—
715C22—44no—
716C22—44no—
717C22—44no—
718C22—44no—
719C22—44no—
720C22—42no—
721C22—44no—
722C22—42no—
723C22—42no—
724C22—81no—
725C22—82no—
726C22—81no—
727C22—81no—
728C22—82no—
729C22—81no—
730C22C22×#12111yescharacteristic
731C22C2×#52512yes—
732C22C2×#52511yescharacteristic
733C22C2×#52912yes—
734C22C2×#53211yescharacteristic
735C22C2×#54811yescharacteristic
736C22D4×#4111yescharacteristic
737C22C2×#55312yes—
738C22#347512yes—
739C22#348211yescharacteristic
740C22#348411yescharacteristic
741C22#348812yes—
742C22#348911yescharacteristic
743C22#349212yes—
744C22#349212yes—
745C22#349312yes—
746C22#349412yes—
747C22#349911yescharacteristic
748C22#350011yescharacteristic
749C22#350712yes—
750C22#350712yes—
751C22#351312yes—
752C22#351811yescharacteristic
753C4—28no—
754C4—24no—
755C4—44no—
756C4—42no—
757C4—44no—
758C4—44no—
759C4—44no—
760C4—42no—
761C4—42no—
762C4—44no—
763C4—84no—
764C4—84no—
765C4—81no—
766C4—82no—
767C4#239218yes—
768C2—48no—
769C2—82no—
770C2C2×#239211yescharacteristic
771C2#3568612yes—
772C2#3572811yescharacteristic
773C2#3575911yescharacteristic
774C2#3577412yes—
775C2#3592311yescharacteristic
776C2#3643812yes—
777C2#3644411yescharacteristic
778C2#3648612yes—
779C2#3653411yescharacteristic
780C2#3658111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
prime radicalC2×#392C22
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C24 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#2352C2semidirect
2. C2×D4×C4⋊C4C2semidirect
3. C2×#2347C2semidirect
4. #15242C2semidirect
5. #15220C2semidirect
6. #15206C2semidirect
7. #15195C2semidirect
8. #15129C2semidirect
9. #15129C2semidirect
10. #14972C2semidirect
11. #14925C2semidirect
13. #14750C2semidirect
14. C4×#394C2semidirect
16. #13818C2semidirect
17. C22⋊C4×C4⋊C4C2semidirect
100. C2×#117D4semidirect
162. C4×C4⋊C4D4semidirect

Maximal subgroups

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

subgroupindex
C2×#23522
C2×D4×C4⋊C42
C2×#23472
#152422
#152202
#152062
#151952
#151292
#149722
#149252
#148062
#147502
C4×#3942
C4×#3922
#138182
C22⋊C4×C4⋊C42