Finite Group Databasebeta

← #28512347

Subgroups — #28512347

Order 15104.

2222 conjugacy classes of subgroups.

The subgroup lattice has 698 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837283C212yesmaximal, complemented
2C2×#16837275C211yesmaximal, characteristic
3C2×C4×C22⋊Dic59C211yesmaximal, characteristic
4#21422355C212yesmaximal, complemented
5#21422346C212yesmaximal, complemented
6#21422328C212yesmaximal, complemented
7#21422319C211yesmaximal, characteristic
8#21422319C211yesmaximal, characteristic
9#21422319C211yesmaximal, characteristic
10#21422319C211yesmaximal, characteristic
11C23×C4⋊C4×C59C211yesmaximal, characteristic
12C22×Dic59⋊C4C2212yes—
13C22×C22⋊Dic59C2211yescharacteristic
14C22×C22⋊Dic59C2211yescharacteristic
15C22×C22⋊Dic59C2211yescharacteristic
16C22×C22⋊Dic59C2211yescharacteristic
17C22×C4×Dic59C2211yescharacteristic
18C22×C4×Dic59C2211yescharacteristic
19#16837283—28no—
20#16837275C418yescomplemented
21C4×C22⋊Dic59—24no—
22C2×C59⋊#95C2211yescharacteristic
23C2×C59⋊#95C2212yes—
24C2×C59⋊#95C2212yes—
25C2×C59⋊#95C2211yescharacteristic
26C2×C59⋊#95C2212yes—
27C2×C59⋊#95C2212yes—
28C2×C59⋊#95C2212yes—
29C2×C59⋊#95C2212yes—
30C2×C59⋊#95C2212yes—
31C2×C59⋊#95C2212yes—
32C2×C59⋊#95C2212yes—
33C24×C4×C59C2211yescharacteristic
34C24×C4×C59C2211yescharacteristic
35C24×C4×C59C2211yescharacteristic
36C22×C4⋊C4×C59—24no—
37C22×C4⋊C4×C59—28no—
38C22×C4⋊C4×C59C2212yes—
39C22×C4⋊C4×C59C2212yes—
40C23×Dic59C2312yes—
41C23×Dic59C2311yescharacteristic
42C23×Dic59C2312yes—
43C23×Dic59C2311yescharacteristic
44C23×Dic59C2311yescharacteristic
45C23×Dic59C2311yescharacteristic
46C2×Dic59⋊C4—24no—
47C2×Dic59⋊C4—24no—
48C2×Dic59⋊C4C2×C418yescomplemented
49C2×C22⋊Dic59—22no—
50C2×C22⋊Dic59—22no—
51C2×C22⋊Dic59—22no—
52C2×C22⋊Dic59—22no—
53C2×C22⋊Dic59—22no—
54C2×C22⋊Dic59—22no—
55C2×C22⋊Dic59—22no—
56C2×C22⋊Dic59—22no—
57C2×C22⋊Dic59—22no—
58C2×C22⋊Dic59C2×C414yes—
59C2×C22⋊Dic59C2×C414yes—
60C2×C22⋊Dic59Q814yes—
61C2×C4×Dic59—22no—
62C2×C4×Dic59—22no—
63C2×C4×Dic59—24no—
64C2×C4×Dic59—42no—
65C59⋊#95—22no—
66C59⋊#95—22no—
67C59⋊#95—24no—
68C59⋊#95—24no—
69C59⋊#95—24no—
70C59⋊#95—24no—
71C59⋊#95—24no—
72C59⋊#95—42no—
73C59⋊#95—42no—
74C59⋊#95—42no—
75C59⋊#95C2×C418yescomplemented
76C25×C59C2311yescharacteristic
77C23×C4×C59—22no—
78C23×C4×C59—22no—
79C23×C4×C59—24no—
80C23×C4×C59—24no—
81C23×C4×C59—22no—
82C23×C4×C59—22no—
83C23×C4×C59—22no—
84C23×C4×C59—24no—
85C23×C4×C59—24no—
86C23×C4×C59—22no—
87C23×C4×C59—22no—
88C23×C4×C59—42no—
89C23×C4×C59—42no—
90C23×C4×C59C2×C414yes—
91C23×C4×C59D414yes—
92C23×C4×C59C2311yescharacteristic
93C23×C4×C59C2312yes—
94C23×C4×C59C2312yes—
95C23×C4×C59C2311yescharacteristic
96C2×C4⋊C4×C59—232no—
97C2×C4⋊C4×C59—24no—
98C2×C4⋊C4×C59—24no—
99C2×C4⋊C4×C59—24no—
100C2×C4⋊C4×C59—24no—
101C2×C4⋊C4×C59—24no—
102C2×C4⋊C4×C59D418yes—
103C24×C59—22no—
104C24×C59—22no—
105C24×C59—22no—
106C24×C59—22no—
107C24×C59C22×C412yes—
108C24×C59C2×D412yes—
109C24×C59C2×Q812yes—
110C24×C59#4112yes—
111C24×C59#4112yes—
112C24×C59#4112yes—
113C24×C59#4112yes—
114C24×C59C2411yescharacteristic
115C22×C4×C59—28no—
116C22×C4×C59—216no—
117C22×C4×C59—28no—
118C22×C4×C59—28no—
119C22×C4×C59—22no—
120C22×C4×C59—22no—
121C22×C4×C59—22no—
122C22×C4×C59—22no—
123C22×C4×C59—21no—
124C22×C4×C59—21no—
125C22×C4×C59—22no—
126C22×C4×C59—216no—
127C22×C4×C59—28no—
128C22×C4×C59—28no—
129C22×C4×C59—22no—
130C22×C4×C59—22no—
131C22×C4×C59—22no—
132C22×C4×C59—21no—
133C22×C4×C59—21no—
134C22×C4×C59—22no—
135C22×C4×C59—22no—
136C22×C4×C59—22no—
137C22×C4×C59—22no—
138C22×C4×C59—22no—
139C22×C4×C59—28no—
140C22×C4×C59—44no—
141C22×C4×C59—48no—
142C22×C4×C59—48no—
143C22×C4×C59—48no—
144C22×C4×C59—48no—
145C22×C4×C59—44no—
146C22×C4×C59—44no—
147C22×C4×C59C22×C414yes—
148C22×C4×C59C2×D412yes—
149C22×C4×C59C2×D414yes—
150C22×C4×C59C2×D414yes—
151C22×C4×C59C2×D412yes—
152C22×C4×C59C2×D414yes—
153C22×C4×C59#4114yes—
154C22×Dic59—22no—
155C22×Dic59—22no—
156C22×Dic59—21no—
157C22×Dic59—21no—
158C22×Dic59—21no—
159C22×Dic59—21no—
160C22×Dic59—22no—
161C22×Dic59—22no—
162C22×Dic59—22no—
163C22×Dic59—22no—
164C22×Dic59—21no—
165C22×Dic59—21no—
166C22×Dic59—21no—
167C22×Dic59—21no—
168C22×Dic59—22no—
169C22×Dic59—22no—
170C22×Dic59—22no—
171C22×Dic59—22no—
172C22×Dic59—22no—
173C22×Dic59—22no—
174C22×Dic59—22no—
175C22×Dic59—22no—
176C22×Dic59—22no—
177C22×Dic59—22no—
178C22×Dic59—22no—
179C22×Dic59—22no—
180C22×Dic59—22no—
181C22×Dic59—22no—
182C22×Dic59—22no—
183C22×Dic59C22×C412yes—
184C22×Dic59C22×C414yes—
185C22×Dic59C22×C412yes—
186C22×Dic59C2×Q812yes—
187C22×Dic59C2×Q812yes—
188C4⋊C4×C59—216no—
189C4⋊C4×C59—216no—
190C22⋊Dic59—28no—
191C22⋊Dic59—28no—
192C22⋊Dic59—28no—
193C22⋊Dic59—44no—
194Dic59⋊C4—216no—
195C4×Dic59—44no—
196C4×Dic59—44no—
197C23×C59—24no—
198C23×C59—24no—
199C23×C59—22no—
200C23×C59—22no—
201C23×C59—24no—
202C23×C59—22no—
203C23×C59—22no—
204C23×C59—24no—
205C23×C59—24no—
206C23×C59—24no—
207C23×C59—24no—
208C23×C59—24no—
209C23×C59—24no—
210C23×C59—24no—
211C23×C59—24no—
212C23×C59—24no—
213C23×C59#11714yes—
214C23×C59C4×D414yes—
215C23×C59C4×Q814yes—
216C23×C59C22⋊Q814yes—
217C23×C59#12314yes—
218C23×C59#12514yes—
219C23×C59#12614yes—
220C23×C59C23×C411yescharacteristic
221C23×C59C22×D411yescharacteristic
222C23×C59C22×D412yes—
223C23×C59C22×Q811yescharacteristic
224C23×C59C2×#4111yescharacteristic
225C23×C59C2×#4111yescharacteristic
226C23×C59C2×#4111yescharacteristic
227C23×C59C2×#4112yes—
228C23×C59C2×#4111yescharacteristic
229C23×C59H(5,𝔽2)12yes—
230C23×C592−1+412yes—
231C2×C4×C59—232no—
232C2×C4×C59—24no—
233C2×C4×C59—24no—
234C2×C4×C59—24no—
235C2×C4×C59—22no—
236C2×C4×C59—24no—
237C2×C4×C59—24no—
238C2×C4×C59—24no—
239C2×C4×C59—22no—
240C2×C4×C59—24no—
241C2×C4×C59—24no—
242C2×C4×C59—22no—
243C2×C4×C59—24no—
244C2×C4×C59—22no—
245C2×C4×C59—22no—
246C2×C4×C59—24no—
247C2×C4×C59—24no—
248C2×C4×C59—416no—
249C2×C4×C59—416no—
250C2×C4×C59—42no—
251C2×C4×C59—42no—
252C2×C4×C59—42no—
253C2×C4×C59—42no—
254C2×C4×C59—42no—
255C2×C4×C59—42no—
256C2×C4×C59C4×D418yes—
257C2×C4×C59#12014yes—
258C2×Dic59—24no—
259C2×Dic59—24no—
260C2×Dic59—24no—
261C2×Dic59—22no—
262C2×Dic59—22no—
263C2×Dic59—24no—
264C2×Dic59—24no—
265C2×Dic59—22no—
266C2×Dic59—22no—
267C2×Dic59—24no—
268C2×Dic59—24no—
269C2×Dic59—41no—
270C2×Dic59—41no—
271C2×Dic59—41no—
272C2×Dic59—41no—
273C2×Dic59—42no—
274C2×Dic59—41no—
275C2×Dic59—41no—
276C2×Dic59—41no—
277C2×Dic59—41no—
278C2×Dic59—42no—
279C2×Dic59—42no—
280C2×Dic59—42no—
281C2×Dic59—42no—
282C2×Dic59—42no—
283C2×Dic59—42no—
284C2×Dic59—42no—
285C2×Dic59—42no—
286C2×Dic59—42no—
287C2×Dic59—42no—
288C2×Dic59—42no—
289C2×Dic59—42no—
290C2×Dic59—42no—
291C2×Dic59—42no—
292#14039—591nomaximal, Sylow
293C22×C59—24no—
294C22×C59—24no—
295C22×C59—28no—
296C22×C59—28no—
297C22×C59—24no—
298C22×C59—24no—
299C22×C59—28no—
300C22×C59—28no—
301C22×C59—24no—
302C22×C59—24no—
303C22×C59#38718yescomplemented
304C22×C59C2×#11711yescharacteristic
305C22×C59C2×C4×D411yescharacteristic
306C22×C59C2×C4×D412yes—
307C22×C59C2×C4×Q811yescharacteristic
308C22×C59#52012yes—
309C22×C59C2×#12011yescharacteristic
310C22×C59C2×C22⋊Q811yescharacteristic
311C22×C59C2×#12311yescharacteristic
312C22×C59#52511yescharacteristic
313C22×C59#52512yes—
314C22×C59C2×#12511yescharacteristic
315C22×C59C2×#12611yescharacteristic
316C22×C59#53411yescharacteristic
317C22×C59#53611yescharacteristic
318C22×C59#53912yes—
319C22×C59#54612yes—
320C22×C59#54612yes—
321C22×C59#54812yes—
322C22×C59D4×Q812yes—
323C22×C59#55212yes—
324C22×C59#55212yes—
325C22×C59#55312yes—
326C22×C59#55412yes—
327C4×C59—24no—
328C4×C59—28no—
329C4×C59—42no—
330C4×C59—44no—
331Dic59—42no—
332Dic59—42no—
333Dic59—44no—
334Dic59—42no—
335Dic59—42no—
336Dic59—82no—
337C23×C4⋊C4D5911yescharacteristic
338C2×#387—592no—
339C2×#385—591no—
340C2×C4×C22⋊C4—591no—
341#1442—592no—
342#1441—592no—
343#1436—592no—
344C22⋊#95—591no—
345C22⋊#95—591no—
346C22⋊#95—591no—
347C22⋊#95—591no—
348C2×C59—28no—
349C2×C59C2×#38711yescharacteristic
350C2×C59C4×#12011yescharacteristic
351C2×C59#232211yescharacteristic
352C2×C59#235212yes—
353C2×C59#236012yes—
354C2×C59#240511yescharacteristic
355C2×C59#240911yescharacteristic
356C2×C59#247312yes—
357C2×C59#248112yes—
358C2×C59#248411yescharacteristic
359C2×C59#257911yescharacteristic
360C24×C4C2×D5911yescharacteristic
361C24×C4C2×D5911yescharacteristic
362C24×C4C2×D5911yescharacteristic
363C22×C4⋊C4—24no—
364C22×C4⋊C4—28no—
365C22×C4⋊C4—592no—
366C22×C4⋊C4C2×D5912yes—
367C22×C4⋊C4C2×D5912yes—
368C22×C22⋊C4—591no—
369C22×C22⋊C4—591no—
370C22×C22⋊C4—591no—
371C22×C22⋊C4—591no—
372C22×C42—591no—
373C22×C42—591no—
374#387—1188no—
375#385—598no—
376C4×C22⋊C4—1184no—
377C2×#95—592no—
378C2×#95—592no—
379C2×#95—592no—
380C2×#95—592no—
381C2×#95—592no—
382C2×#95—592no—
383C2×#95—591no—
384C2×#95—591no—
385C2×#95—592no—
386C2×#95—592no—
387C2×#95—592no—
388C59#1403911yescharacteristic, complemented, Sylow
389C25C22×D5911yescharacteristic
390C23×C4—22no—
391C23×C4—22no—
392C23×C4—24no—
393C23×C4—24no—
394C23×C4—22no—
395C23×C4—22no—
396C23×C4—22no—
397C23×C4—24no—
398C23×C4—24no—
399C23×C4—22no—
400C23×C4—22no—
401C23×C4—42no—
402C23×C4—42no—
403C23×C4—591no—
404C23×C4—592no—
405C23×C4—591no—
406C23×C4—591no—
407C23×C4—591no—
408C23×C4—592no—
409C23×C4C4×D5914yes—
410C23×C4C22⋊D5914yes—
411C23×C4C22×D5911yescharacteristic
412C23×C4C22×D5912yes—
413C23×C4C22×D5912yes—
414C23×C4C22×D5911yescharacteristic
415C2×C4⋊C4—232no—
416C2×C4⋊C4—24no—
417C2×C4⋊C4—24no—
418C2×C4⋊C4—24no—
419C2×C4⋊C4—24no—
420C2×C4⋊C4—24no—
421C2×C4⋊C4—598no—
422C2×C4⋊C4—1184no—
423C2×C4⋊C4—1184no—
424C2×C4⋊C4C22⋊D5918yes—
425C2×C22⋊C4—594no—
426C2×C22⋊C4—594no—
427C2×C22⋊C4—594no—
428C2×C22⋊C4—1182no—
429C2×C22⋊C4—1182no—
430C2×C22⋊C4—1182no—
431C2×C22⋊C4—1182no—
432C2×C22⋊C4—1182no—
433C2×C22⋊C4—1182no—
434C2×C22⋊C4—1182no—
435C2×C22⋊C4—1182no—
436C2×C22⋊C4—1182no—
437C2×C42—1182no—
438C2×C42—1182no—
439C2×C42—1184no—
440C2×C42—2362no—
441#95—598no—
442#95—1184no—
443#95—1182no—
444#95—1182no—
445#95—1184no—
446#95—1184no—
447#95—1184no—
448#95—1184no—
449#95—2362no—
450#95—2362no—
451#95—2362no—
452C24—22no—
453C24—22no—
454C24—22no—
455C24—22no—
456C24C2×C4×D5912yes—
457C24#1174568512yes—
458C24#1174568712yes—
459C24#1174568712yes—
460C24Q8×D5912yes—
461C24#1174568912yes—
462C24C2×C22⋊D5912yes—
463C24C23×D5911yescharacteristic
464C22×C4—28no—
465C22×C4—28no—
466C22×C4—216no—
467C22×C4—28no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—21no—
471C22×C4—21no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—216no—
476C22×C4—28no—
477C22×C4—28no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—28no—
489C22×C4—44no—
490C22×C4—48no—
491C22×C4—48no—
492C22×C4—48no—
493C22×C4—48no—
494C22×C4—44no—
495C22×C4—44no—
496C22×C4—592no—
497C22×C4—594no—
498C22×C4—592no—
499C22×C4—592no—
500C22×C4—592no—
501C22×C4—1182no—
502C22×C4—1182no—
503C22×C4—1181no—
504C22×C4—1181no—
505C22×C4—1181no—
506C22×C4—1181no—
507C22×C4—1182no—
508C22×C4—1182no—
509C22×C4—1182no—
510C22×C4—1181no—
511C22×C4—1181no—
512C22×C4—1182no—
513C22×C4—1182no—
514C22×C4—1181no—
515C22×C4—1181no—
516C22×C4—1182no—
517C22×C4—1182no—
518C22×C4—1182no—
519C22×C4—1182no—
520C22×C4—1182no—
521C22×C4—1182no—
522C22×C4—1182no—
523C22×C4—1182no—
524C22×C4—1182no—
525C22×C4—1182no—
526C22×C4—1182no—
527C22×C4—1182no—
528C22×C4—1182no—
529C22×C4—1182no—
530C22×C4C2×C4×D5914yes—
531C22×C4#1174568514yes—
532C22×C4C2×C22⋊D5912yes—
533C22×C4C2×C22⋊D5914yes—
534C22×C4C2×C22⋊D5914yes—
535C22×C4C2×C22⋊D5914yes—
536C22×C4C2×C22⋊D5912yes—
537C4⋊C4—216no—
538C4⋊C4—216no—
539C4⋊C4—11816no—
540C22⋊C4—1188no—
541C22⋊C4—1188no—
542C22⋊C4—1188no—
543C22⋊C4—2364no—
544C42—2364no—
545C42—2364no—
546C23—22no—
547C23—24no—
548C23—22no—
549C23—22no—
550C23—22no—
551C23—24no—
552C23—24no—
553C23—24no—
554C23—24no—
555C23—24no—
556C23—24no—
557C23—24no—
558C23—24no—
559C23—24no—
560C23—24no—
561C23—24no—
562C23#1427368514yes—
563C23C4×C22⋊D5914yes—
564C23#1427369214yes—
565C23#1427370314yes—
566C23#1427370814yes—
567C23#1427371714yes—
568C23#1427372214yes—
569C23C22×C4×D5911yescharacteristic
570C23C22×C22⋊D5911yescharacteristic
571C23C22×C22⋊D5912yes—
572C23C2×Q8×D5911yescharacteristic
573C23C2×#1174568711yescharacteristic
574C23C2×#1174568711yescharacteristic
575C23C2×#1174568511yescharacteristic
576C23C2×#1174568512yes—
577C23C2×#1174568911yescharacteristic
578C23#1427377212yes—
579C23#1427377512yes—
580C2×C4—232no—
581C2×C4—24no—
582C2×C4—22no—
583C2×C4—24no—
584C2×C4—24no—
585C2×C4—24no—
586C2×C4—22no—
587C2×C4—24no—
588C2×C4—24no—
589C2×C4—24no—
590C2×C4—24no—
591C2×C4—22no—
592C2×C4—24no—
593C2×C4—22no—
594C2×C4—22no—
595C2×C4—24no—
596C2×C4—24no—
597C2×C4—416no—
598C2×C4—416no—
599C2×C4—42no—
600C2×C4—42no—
601C2×C4—42no—
602C2×C4—42no—
603C2×C4—42no—
604C2×C4—42no—
605C2×C4—1182no—
606C2×C4—1182no—
607C2×C4—1184no—
608C2×C4—1184no—
609C2×C4—1184no—
610C2×C4—1182no—
611C2×C4—1182no—
612C2×C4—1184no—
613C2×C4—1184no—
614C2×C4—1184no—
615C2×C4—1184no—
616C2×C4—2362no—
617C2×C4—2362no—
618C2×C4—2362no—
619C2×C4—2362no—
620C2×C4—2362no—
621C2×C4—2362no—
622C2×C4—2362no—
623C2×C4—2361no—
624C2×C4—2361no—
625C2×C4—2362no—
626C2×C4—2361no—
627C2×C4—2361no—
628C2×C4—2361no—
629C2×C4—2361no—
630C2×C4—2361no—
631C2×C4—2361no—
632C2×C4—2362no—
633C2×C4—2362no—
634C2×C4—2362no—
635C2×C4—2362no—
636C2×C4—2362no—
637C2×C4—2362no—
638C2×C4—2362no—
639C2×C4C4×C22⋊D5918yes—
640C2×C4#1427369614yes—
641C22—28no—
642C22—24no—
643C22—28no—
644C22—28no—
645C22—28no—
646C22—24no—
647C22—24no—
648C22—24no—
649C22—24no—
650C22—24no—
651C22#1683728318yescomplemented
652C22C2×#1427368511yescharacteristic
653C22C2×C4×C22⋊D5911yescharacteristic
654C22C2×C4×C22⋊D5912yes—
655C22C2×#1427369211yescharacteristic
656C22#1683788312yes—
657C22C2×#1427369611yescharacteristic
658C22C2×#1427370311yescharacteristic
659C22C2×#1427370811yescharacteristic
660C22#1683791312yes—
661C22#1683791311yescharacteristic
662C22C2×#1427371711yescharacteristic
663C22C2×#1427372211yescharacteristic
664C22#1683796111yescharacteristic
665C22#1683797611yescharacteristic
666C22#1683799912yes—
667C22#1683804612yes—
668C22#1683804612yes—
669C22#1683806312yes—
670C22Q8×C22⋊D5912yes—
671C22#1683808712yes—
672C22#1683808712yes—
673C22#1683810012yes—
674C22#1683810712yes—
675C4—28no—
676C4—24no—
677C4—42no—
678C4—44no—
679C4—4722no—
680C4—2362no—
681C4—2364no—
682C4—2362no—
683C4—2362no—
684C4—2362no—
685C2—28no—
686C2C2×#1683728311yescharacteristic
687C2C4×#1427369611yescharacteristic
688C2#2142676511yescharacteristic
689C2#2142702112yes—
690C2#2142710112yes—
691C2#2142741911yescharacteristic
692C2#2142745511yescharacteristic
693C2#2142823112yes—
694C2#2142835112yes—
695C2#2142838311yescharacteristic
696C2#2142944311yescharacteristic
subgroupG/H
center, FrattiniC24C23×D59
commutatorC23×C59C23×C4
FittingC23×C4⋊C4×C59C2
socle, cosocleC24×C59C24
prime radicalC25×C59C23
hypercenterC23×C4⋊C4D59
hypocenterC59#14039
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C24 ◁ C23×C4⋊C4

Complements

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

NH ≅ G/Ntype
1. C2×#16837283C2semidirect
4. #21422355C2semidirect
5. #21422346C2semidirect
6. #21422328C2semidirect
20. #16837275C4semidirect
48. C2×Dic59⋊C4C2×C4semidirect
75. C59⋊#95C2×C4semidirect
303. C22×C59#387semidirect
388. C59#14039semidirect
651. C22#16837283semidirect

Maximal subgroups

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

subgroupindex
C2×#168372832
C2×#168372752
C2×C4×C22⋊Dic592
#214223552
#214223462
#214223282
#214223192
C23×C4⋊C4×C592
#1403959