Finite Group Databasebeta

← #367034

Subgroups — #367034

Order 512.

1802 conjugacy classes of subgroups.

The subgroup lattice has 767 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2547C211yesmaximal, characteristic
2C2×#1983C212yesmaximal
3C2×#1981C211yesmaximal, characteristic, complemented
4C2×#1956C211yesmaximal, characteristic, complemented
5C2×#1939C211yesmaximal, characteristic, complemented
6C2×#1802C211yesmaximal, characteristic
7C2×C4×#102C211yesmaximal, characteristic
8C4⋊C42C211yesmaximal, characteristic, complemented
9#11077C212yesmaximal, complemented
10#11009C212yesmaximal
11#10932C212yesmaximal, complemented
12C22×C4⋊Q8C2211yescharacteristic
13C22×#124C2212yes—
14C22×C4×D4C2211yescharacteristic
15C22×C4⋊C8C2211yescharacteristic
16C22×C4⋊C8C2212yes—
17C22×#103C2212yes—
18C22×#103C2212yes—
19C22×#103C2212yes—
20C22×#103C2212yes—
21C22×#102C2211yescharacteristic
22C22×#102C2212yes—
23C22×#102C2211yescharacteristic
24C22×C4×C8C2211yescharacteristic
25#2547—24no—
26#2547C418yescomplemented
27C2×#397—22no—
28C2×#391C2212yes—
29C2×#384C2211yescharacteristic
30C2×#380—21no—
31C2×#380—21no—
32C2×C4×C4⋊C4—21no—
33C2×C4×C4⋊C4C2212yes—
34C2×C4×C4⋊C4C2211yescharacteristic
35C2×C4×C4⋊C4C2211yescharacteristic
36#1983—28no—
37#1981—24no—
38#1956—24no—
39#1939—24no—
40#1802—24no—
41C4×#102—24no—
42C2×#340C2211yescharacteristic
43C2×#340C2212yes—
44C2×#340C2211yescharacteristic
45C2×#336C2212yes—
46#1436—22no—
47C4⋊#95—21no—
48C4⋊#95C2212yes—
49C23×Q8C2312yes—
50C23×D4C2311yescharacteristic
51C24×C4—21no—
52C23×C8C2312yes—
53C23×C8C2311yescharacteristic
54C23×C8C2311yescharacteristic
55C2×C4⋊Q8—22no—
56C2×C4⋊Q8—22no—
57C2×C4⋊Q8—22no—
58C2×C4⋊Q8—22no—
59C2×C4⋊Q8—22no—
60C2×C4⋊Q8C2×C414yes—
61C2×#124—24no—
62C2×#124—24no—
63C2×#124—24no—
64C2×#124—42no—
65C2×#124—42no—
66C2×#124C2×C418yes—
67C2×C4×D4—22no—
68C2×C4×D4—22no—
69C2×C4×D4—22no—
70C2×C4×D4—22no—
71C2×C4×D4—22no—
72C2×C4×D4C2×C414yes—
73C22×C4⋊C4—21no—
74C22×C4⋊C4—21no—
75C22×C4⋊C4—21no—
76C22×C4⋊C4—21no—
77C22×C4⋊C4D411yescharacteristic
78C22×C4⋊C4D411yescharacteristic
79C22×C4⋊C4C2311yescharacteristic
80C22×C4⋊C4C2311yescharacteristic
81C22×C4⋊C4C2312yes—
82C22×C4⋊C4C2311yescharacteristic
83C22×C22⋊C4—21no—
84C22×C22⋊C4—22no—
85C22×C22⋊C4—22no—
86C22×C42—21no—
87C22×C42—22no—
88C22×C42C2312yes—
89C22×C42C2311yescharacteristic
90C2×C4⋊C8—24no—
91C2×C4⋊C8—22no—
92C2×C4⋊C8—24no—
93C2×C4⋊C8—22no—
94C2×C4⋊C8—22no—
95C2×C4⋊C8—42no—
96C2×#103—24no—
97C2×#103—24no—
98C2×#103—24no—
99C2×#103—24no—
100C2×#103—24no—
101C2×#103—24no—
102C2×#103—24no—
103C2×#103—24no—
104C2×#103—42no—
105C2×#103—42no—
106C2×#103—42no—
107C2×#103—42no—
108C2×#102—22no—
109C2×#102—22no—
110C2×#102—22no—
111C2×#102—22no—
112C2×#102—22no—
113C2×#102—24no—
114C2×#102—24no—
115C2×#102—42no—
116C2×#102D414yes—
117C2×C4×C8—22no—
118C2×C4×C8—22no—
119C2×C4×C8—22no—
120#397—216no—
121#391—24no—
122#391C2×C418yes—
123#384—22no—
124#384D414yes—
125#380—28no—
126#380—28no—
127C4×C4⋊C4—22no—
128C4×C4⋊C4—24no—
129C4×C4⋊C4—42no—
130C4×C4⋊C4—44no—
131C4×C4⋊C4C2×C414yes—
132C4×C4⋊C4D414yes—
133C4×C4⋊C4D414yes—
134C2×#95—22no—
135C2×#95—22no—
136C2×#95—21no—
137C2×#95—22no—
138C2×#95—22no—
139C2×#95—22no—
140C2×#95D412yes—
141#340—24no—
142#340—22no—
143#340—22no—
144#336—24no—
145C25—21no—
146C22×Q8—22no—
147C22×Q8—22no—
148C22×Q8—22no—
149C22×Q8—22no—
150C22×Q8—22no—
151C22×Q8—22no—
152C22×Q8—22no—
153C22×Q8—22no—
154C22×Q8—22no—
155C22×Q8—22no—
156C22×Q8—22no—
157C22×Q8—22no—
158C22×Q8—22no—
159C22×Q8C22×C414yes—
160C22×D4—21no—
161C22×D4—21no—
162C22×D4—21no—
163C22×D4—21no—
164C22×D4—21no—
165C22×D4—21no—
166C22×D4—21no—
167C22×D4—21no—
168C22×D4—21no—
169C22×D4—21no—
170C22×D4—21no—
171C22×D4C22×C412yes—
172C22×D4C2×D412yes—
173C22×D4#4112yes—
174C23×C4—21no—
175C23×C4—22no—
176C23×C4—21no—
177C23×C4—22no—
178C23×C4—21no—
179C23×C4—24no—
180C23×C4—42no—
181C23×C4—42no—
182C23×C4—42no—
183C23×C4—42no—
184C23×C4—42no—
185C23×C4—42no—
186C23×C4C2×D412yes—
187C23×C4C2×D412yes—
188C23×C4C2×D411yescharacteristic
189C23×C4C2×D411yescharacteristic
190C23×C4C2411yescharacteristic
191C22×C8—21no—
192C22×C8—21no—
193C22×C8—21no—
194C22×C8—21no—
195C22×C8—21no—
196C22×C8—21no—
197C22×C8—21no—
198C22×C8—21no—
199C22×C8—21no—
200C22×C8—21no—
201C22×C8—21no—
202C22×C8—21no—
203C22×C8—22no—
204C22×C8—22no—
205C22×C8—22no—
206C22×C8—22no—
207C22×C8—22no—
208C22×C8—22no—
209C22×C8—22no—
210C22×C8C2×D412yes—
211C22×C8#4112yes—
212C4⋊Q8—28no—
213C4⋊Q8—28no—
214C4⋊Q8—44no—
215C4⋊Q8—44no—
216#124—216no—
217#124—48no—
218#124—48no—
219#124—48no—
220C4×D4—28no—
221C4×D4—28no—
222C4×D4—44no—
223C4×D4—44no—
224C2×C4⋊C4—22no—
225C2×C4⋊C4—22no—
226C2×C4⋊C4—22no—
227C2×C4⋊C4—22no—
228C2×C4⋊C4—21no—
229C2×C4⋊C4—21no—
230C2×C4⋊C4—21no—
231C2×C4⋊C4—21no—
232C2×C4⋊C4—21no—
233C2×C4⋊C4—22no—
234C2×C4⋊C4—21no—
235C2×C4⋊C4—21no—
236C2×C4⋊C4—21no—
237C2×C4⋊C4—21no—
238C2×C4⋊C4—22no—
239C2×C4⋊C4—22no—
240C2×C4⋊C4—22no—
241C2×C4⋊C4—21no—
242C2×C4⋊C4—21no—
243C2×C4⋊C4—24no—
244C2×C4⋊C4—24no—
245C2×C4⋊C4—24no—
246C2×C4⋊C4—21no—
247C2×C4⋊C4—21no—
248C2×C4⋊C4—22no—
249C2×C4⋊C4—24no—
250C2×C4⋊C4—42no—
251C2×C4⋊C4—42no—
252C2×C4⋊C4—42no—
253C2×C4⋊C4—42no—
254C2×C4⋊C4—42no—
255C2×C4⋊C4—42no—
256C2×C4⋊C4—81no—
257C2×C4⋊C4—81no—
258C2×C4⋊C4C22⋊C414yes—
259C2×C4⋊C4C22⋊C414yes—
260C2×C4⋊C4C22×C412yes—
261C2×C4⋊C4C2×D412yes—
262C2×C4⋊C4C2×D414yes—
263C2×C4⋊C4C2×D412yes—
264C2×C4⋊C4C2×D412yes—
265C2×C4⋊C4#4112yes—
266C2×C22⋊C4—24no—
267C2×C22⋊C4—28no—
268C2×C22⋊C4—28no—
269C2×C22⋊C4—44no—
270C2×C22⋊C4—44no—
271C2×C22⋊C4—44no—
272C2×C22⋊C4—44no—
273C2×C22⋊C4—42no—
274C2×C22⋊C4—42no—
275C2×C42—22no—
276C2×C42—22no—
277C2×C42—22no—
278C2×C42—22no—
279C2×C42—24no—
280C2×C42—42no—
281C2×C42—42no—
282C2×C42—44no—
283C2×C42—44no—
284C2×C42—82no—
285C2×C42C22×C414yes—
286C2×C42C22×C412yes—
287C2×C42C2×D414yes—
288C2×C42C2×D412yes—
289C2×C42C2×D412yes—
290C2×C42C2×D412yes—
291C2×C42#4112yes—
292C2×C42#4112yes—
293C4⋊C8—48no—
294C4⋊C8—44no—
295#103—48no—
296#103—48no—
297#103—48no—
298#103—48no—
299#102—28no—
300#102—28no—
301#102—48no—
302C4×C8—44no—
303#95—28no—
304#95—28no—
305#95—24no—
306#95—44no—
307#95—44no—
308#95—82no—
309#95C22⋊C418yes—
310C24—22no—
311C24—22no—
312C24—22no—
313C24—41no—
314C24—41no—
315C24—41no—
316C24—41no—
317C24—41no—
318C24—41no—
319C24—41no—
320C24—41no—
321C24—41no—
322C24—41no—
323C24—41no—
324C24—41no—
325C24C22×D411yescharacteristic
326C2×Q8—24no—
327C2×Q8—24no—
328C2×Q8—24no—
329C2×Q8—24no—
330C2×Q8—24no—
331C2×Q8—24no—
332C2×Q8—42no—
333C2×Q8—42no—
334C2×Q8—42no—
335C2×Q8—42no—
336C2×Q8—42no—
337C2×Q8—42no—
338C2×Q8—42no—
339C2×Q8—42no—
340C2×Q8—42no—
341C2×Q8—42no—
342C2×Q8—42no—
343C2×Q8—42no—
344C2×Q8—42no—
345C2×Q8—42no—
346C2×Q8—42no—
347C2×Q8—42no—
348C2×Q8—42no—
349C2×Q8—42no—
350C2×Q8—42no—
351C2×Q8—42no—
352C2×Q8—42no—
353C2×Q8—42no—
354C2×D4—22no—
355C2×D4—22no—
356C2×D4—22no—
357C2×D4—22no—
358C2×D4—22no—
359C2×D4—22no—
360C2×D4—22no—
361C2×D4—22no—
362C2×D4—22no—
363C2×D4—22no—
364C2×D4—22no—
365C2×D4—22no—
366C2×D4—22no—
367C2×D4—22no—
368C2×D4—22no—
369C2×D4—41no—
370C2×D4—41no—
371C2×D4—41no—
372C2×D4—41no—
373C2×D4—41no—
374C2×D4—41no—
375C2×D4—41no—
376C2×D4—41no—
377C2×D4—41no—
378C2×D4—41no—
379C2×D4—41no—
380C2×D4—41no—
381C2×D4C4×D414yes—
382C22×C4—21no—
383C22×C4—21no—
384C22×C4—21no—
385C22×C4—21no—
386C22×C4—22no—
387C22×C4—22no—
388C22×C4—22no—
389C22×C4—22no—
390C22×C4—22no—
391C22×C4—22no—
392C22×C4—22no—
393C22×C4—22no—
394C22×C4—22no—
395C22×C4—22no—
396C22×C4—22no—
397C22×C4—22no—
398C22×C4—22no—
399C22×C4—22no—
400C22×C4—22no—
401C22×C4—22no—
402C22×C4—24no—
403C22×C4—22no—
404C22×C4—24no—
405C22×C4—41no—
406C22×C4—41no—
407C22×C4—41no—
408C22×C4—41no—
409C22×C4—41no—
410C22×C4—41no—
411C22×C4—42no—
412C22×C4—42no—
413C22×C4—42no—
414C22×C4—42no—
415C22×C4—42no—
416C22×C4—41no—
417C22×C4—42no—
418C22×C4—41no—
419C22×C4—42no—
420C22×C4—42no—
421C22×C4—41no—
422C22×C4—42no—
423C22×C4—41no—
424C22×C4—41no—
425C22×C4—41no—
426C22×C4—42no—
427C22×C4—41no—
428C22×C4—41no—
429C22×C4—41no—
430C22×C4—42no—
431C22×C4—42no—
432C22×C4—41no—
433C22×C4—48no—
434C22×C4—48no—
435C22×C4—48no—
436C22×C4—84no—
437C22×C4—84no—
438C22×C4—84no—
439C22×C4—84no—
440C22×C4C2×C22⋊C414yes—
441C22×C4C2×C22⋊C414yes—
442C22×C4C2×C22⋊C412yes—
443C22×C4C2×C22⋊C412yes—
444C22×C4#12112yes—
445C22×C4#12112yes—
446C22×C4#12112yes—
447C22×C4#12112yes—
448C22×C4#13512yes—
449C22×C4#13512yes—
450C22×C4AGL(1,ℤ/8)12yes—
451C22×C4#13712yes—
452C22×C4C23×C411yescharacteristic
453C22×C4C22×D411yescharacteristic
454C22×C4C22×D411yescharacteristic
455C22×C4C22×D411yescharacteristic
456C22×C4C22×D411yescharacteristic
457C22×C4C2×#4111yescharacteristic
458C22×C4C2×#4111yescharacteristic
459C22×C4C2×#4111yescharacteristic
460C22×C4C2×#4111yescharacteristic
461C22×C4C2×#4111yescharacteristic
462C22×C4H(5,𝔽2)11yescharacteristic
463C22×C4H(5,𝔽2)11yescharacteristic
464C22×C4H(5,𝔽2)11yescharacteristic
465C22×C42−1+411yescharacteristic
466C2×C8—22no—
467C2×C8—22no—
468C2×C8—22no—
469C2×C8—22no—
470C2×C8—22no—
471C2×C8—22no—
472C2×C8—41no—
473C2×C8—41no—
474C2×C8—41no—
475C2×C8—41no—
476C2×C8—41no—
477C2×C8—41no—
478C2×C8—41no—
479C2×C8—41no—
480C2×C8—42no—
481C2×C8—42no—
482C2×C8—42no—
483C2×C8—42no—
484C2×C8—42no—
485C2×C8—42no—
486C2×C8—42no—
487C4⋊C4—22no—
488C4⋊C4—22no—
489C4⋊C4—22no—
490C4⋊C4—28no—
491C4⋊C4—28no—
492C4⋊C4—22no—
493C4⋊C4—22no—
494C4⋊C4—22no—
495C4⋊C4—22no—
496C4⋊C4—24no—
497C4⋊C4—24no—
498C4⋊C4—41no—
499C4⋊C4—41no—
500C4⋊C4—42no—
501C4⋊C4—42no—
502C4⋊C4—41no—
503C4⋊C4—41no—
504C4⋊C4—48no—
505C4⋊C4—48no—
506C4⋊C4—48no—
507C4⋊C4—84no—
508C4⋊C4#12114yes—
509C22⋊C4—416no—
510C22⋊C4—416no—
511C22⋊C4—48no—
512C42—24no—
513C42—24no—
514C42—24no—
515C42—24no—
516C42—48no—
517C42—88no—
518C42C4×D414yes—
519C42C4×D414yes—
520C42#12414yes—
521C42#12714yes—
522C23—24no—
523C23—42no—
524C23—42no—
525C23—42no—
526C23—42no—
527C23—42no—
528C23—42no—
529C23—42no—
530C23—42no—
531C23—42no—
532C23—42no—
533C23—42no—
534C23—42no—
535C23—42no—
536C23—42no—
537C23—42no—
538C23—42no—
539C23—42no—
540C23—42no—
541C23—81no—
542C23—81no—
543C23—81no—
544C23—81no—
545C23—81no—
546C23—81no—
547C23—81no—
548C23—81no—
549C23—81no—
550C23—81no—
551C23—81no—
552C23—81no—
553C23—81no—
554C23—81no—
555C23—81no—
556C23—81no—
557C23C22×C22⋊C411yescharacteristic
558C23C2×#12111yescharacteristic
559C23C2×#12111yescharacteristic
560C23D4211yescharacteristic
561C23#54611yescharacteristic
562C23#54811yescharacteristic
563C23#55011yescharacteristic
564C23C2×#13511yescharacteristic
565C23C2×#13511yescharacteristic
566C23C2×AGL(1,ℤ/8)11yescharacteristic
567C23C2×#13711yescharacteristic
568C23#57711yescharacteristic
569C23#57711yescharacteristic
570C23#57811yescharacteristic
571C23#57811yescharacteristic
572Q8—44no—
573Q8—44no—
574Q8—44no—
575Q8—44no—
576Q8—82no—
577Q8—82no—
578Q8—82no—
579Q8—82no—
580D4—24no—
581D4—24no—
582D4—42no—
583D4—42no—
584D4—42no—
585D4—42no—
586D4—42no—
587D4—42no—
588C2×C4—22no—
589C2×C4—22no—
590C2×C4—22no—
591C2×C4—22no—
592C2×C4—22no—
593C2×C4—22no—
594C2×C4—24no—
595C2×C4—24no—
596C2×C4—24no—
597C2×C4—24no—
598C2×C4—24no—
599C2×C4—24no—
600C2×C4—24no—
601C2×C4—42no—
602C2×C4—42no—
603C2×C4—42no—
604C2×C4—42no—
605C2×C4—42no—
606C2×C4—42no—
607C2×C4—42no—
608C2×C4—42no—
609C2×C4—42no—
610C2×C4—42no—
611C2×C4—42no—
612C2×C4—42no—
613C2×C4—42no—
614C2×C4—42no—
615C2×C4—44no—
616C2×C4—44no—
617C2×C4—42no—
618C2×C4—42no—
619C2×C4—42no—
620C2×C4—44no—
621C2×C4—42no—
622C2×C4—44no—
623C2×C4—44no—
624C2×C4—42no—
625C2×C4—42no—
626C2×C4—44no—
627C2×C4—81no—
628C2×C4—81no—
629C2×C4—82no—
630C2×C4—82no—
631C2×C4—81no—
632C2×C4—82no—
633C2×C4—82no—
634C2×C4—82no—
635C2×C4—82no—
636C2×C4—82no—
637C2×C4—82no—
638C2×C4—81no—
639C2×C4—81no—
640C2×C4—81no—
641C2×C4—81no—
642C2×C4—81no—
643C2×C4—816no—
644C2×C4#39014yes—
645C2×C4#39014yes—
646C2×C4#41614yes—
647C2×C4#41714yes—
648C2×C4#46314yes—
649C2×C4#46314yes—
650C2×C4#46414yes—
651C2×C4#46414yes—
652C2×C4C2×C4×D411yescharacteristic
653C2×C4C2×C4×D411yescharacteristic
654C2×C4C2×C4×D411yescharacteristic
655C2×C4C4×#4111yescharacteristic
656C2×C4#51811yescharacteristic
657C2×C4#52011yescharacteristic
658C2×C4C2×#12111yescharacteristic
659C2×C4#52511yescharacteristic
660C2×C4C2×#12411yescharacteristic
661C2×C4#52911yescharacteristic
662C2×C4C2×#12711yescharacteristic
663C2×C4#53211yescharacteristic
664C2×C4#53511yescharacteristic
665C2×C4#53711yescharacteristic
666C2×C4#54011yescharacteristic
667C2×C4#54211yescharacteristic
668C2×C4D4211yescharacteristic
669C2×C4D4211yescharacteristic
670C2×C4#54611yescharacteristic
671C2×C4#54611yescharacteristic
672C2×C4#54711yescharacteristic
673C2×C4#54811yescharacteristic
674C2×C4#54811yescharacteristic
675C2×C4#55011yescharacteristic
676C2×C4#55011yescharacteristic
677C2×C4#55311yescharacteristic
678C2×C4#55311yescharacteristic
679C2×C4#55511yescharacteristic
680C8—42no—
681C8—42no—
682C8—82no—
683C22—44no—
684C22—44no—
685C22—44no—
686C22—82no—
687C22—82no—
688C22—82no—
689C22—82no—
690C22—82no—
691C22—82no—
692C22—82no—
693C22—82no—
694C22—82no—
695C22—82no—
696C22—82no—
697C22—82no—
698C22C2×#39011yescharacteristic
699C22D4×C22⋊C411yescharacteristic
700C22#234111yescharacteristic
701C22#241411yescharacteristic
702C22#241611yescharacteristic
703C22#242611yescharacteristic
704C22#242811yescharacteristic
705C22C2×#41611yescharacteristic
706C22C2×#41711yescharacteristic
707C22#289811yescharacteristic
708C22#289811yescharacteristic
709C22C2×#46311yescharacteristic
710C22C2×#46311yescharacteristic
711C22C2×#46411yescharacteristic
712C22C2×#46411yescharacteristic
713C22#304211yescharacteristic
714C22#304411yescharacteristic
715C22#304611yescharacteristic
716C22#304611yescharacteristic
717C22#327211yescharacteristic
718C22#327611yescharacteristic
719C22#328311yescharacteristic
720C22#328411yescharacteristic
721C22#330211yescharacteristic
722C22#330311yescharacteristic
723C22#333011yescharacteristic
724C22#333111yescharacteristic
725C22#336011yescharacteristic
726C22#336411yescharacteristic
727C22#336711yescharacteristic
728C22#336911yescharacteristic
729C22#339311yescharacteristic
730C22#339411yescharacteristic
731C22#339711yescharacteristic
732C22#339811yescharacteristic
733C4—24no—
734C4—44no—
735C4—44no—
736C4—44no—
737C4—82no—
738C4—84no—
739C4—82no—
740C4—84no—
741C4#198318yescomplemented
742C4C4×#12111yescharacteristic
743C4#232411yescharacteristic
744C4#236111yescharacteristic
745C4#236311yescharacteristic
746C4#249011yescharacteristic
747C4#249111yescharacteristic
748C4#254011yescharacteristic
749C4#254111yescharacteristic
750C2—84no—
751C2#1399811yescharacteristic
752C2C2×#198311yescharacteristic
753C2#2126211yescharacteristic
754C2#2241711yescharacteristic
755C2#2243111yescharacteristic
756C2#2254111yescharacteristic
757C2#2254411yescharacteristic
758C2#2462711yescharacteristic
759C2#2462911yescharacteristic
760C2#2472711yescharacteristic
761C2#2472911yescharacteristic
762C2#2527311yescharacteristic
763C2#2527511yescharacteristic
764C2#2536511yescharacteristic
765C2#2536711yescharacteristic
subgroupG/H
center, socleC24C22×D4
commutatorC22×C4C23×C4
Frattini, cosocleC23×C4C24
prime radicalC23×D4C23
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C24 ◁ C2×C4×C4⋊C4 ◁ G
LECSG ▷ C23×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
3. C2×#1981C2semidirect
4. C2×#1956C2semidirect
5. C2×#1939C2semidirect
8. C4⋊C42C2semidirect
9. #11077C2semidirect
11. #10932C2semidirect
26. #2547C4semidirect
741. C4#1983semidirect

Maximal subgroups

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

subgroupindex
C2×#25472
C2×#19832
C2×#19812
C2×#19562
C2×#19392
C2×#18022
C2×C4×#1022
C4⋊C422
#110772
#110092
#109322