Finite Group Databasebeta

← #27306482

Subgroups — #27306482

Order 13568.

2166 conjugacy classes of subgroups.

The subgroup lattice has 722 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C4⋊C4×D53C211yesmaximal, characteristic
2C2×#16810480C211yesmaximal, characteristic
3C2×#16810470C211yesmaximal, characteristic
4#20272969C211yesmaximal, characteristic, complemented
5#20272968C211yesmaximal, characteristic, complemented
6#20272965C211yesmaximal, characteristic, complemented
7#20272949C212yesmaximal, complemented
8#20272946C212yesmaximal, complemented
9#20272936C212yesmaximal
10#20272936C212yesmaximal
11C53×#1441C211yesmaximal, characteristic, complemented
12C23×C4×D53C2211yescharacteristic
13C23×C4×D53C2211yescharacteristic
14C23×C4×D53C2211yescharacteristic
15C22×C4⋊Dic53C2211yescharacteristic
16C22×C4⋊Dic53C2211yescharacteristic
17C22×#11719919C2211yescharacteristic
18C22×#11719919C2211yescharacteristic
19C2×C4⋊C4×D53—24no—
20C2×C4⋊C4×D53—24no—
21C2×C4⋊C4×D53C418yescomplemented
22C22×#11719921C2212yes—
23C22×#11719921C2212yes—
24C22×C4×Dic53C2212yes—
25#16810480—24no—
26#16810470—24no—
27C2×#13133124C2212yes—
28C2×#13133124C2212yes—
29C2×#13133124C2212yes—
30C2×#13133124C2212yes—
31C2×#13133124C2211yescharacteristic
32C2×#13133124C2212yes—
33C2×#13133124C2212yes—
34C2×#13133124C2212yes—
35C22×C4⋊C4×C53C2211yescharacteristic
36C22×C4⋊C4×C53C2211yescharacteristic
37C2×#95×C53C2212yes—
38C2×#95×C53C2211yescharacteristic
39C2×#95×C53C2212yes—
40C24×D53C2311yescharacteristic
41C23×Dic53C2312yes—
42C23×Dic53C2311yescharacteristic
43C23×Dic53C2312yes—
44C23×Dic53C2311yescharacteristic
45C23×Dic53C2311yescharacteristic
46C22×C4×D53—22no—
47C22×C4×D53—22no—
48C22×C4×D53—22no—
49C22×C4×D53—22no—
50C22×C4×D53—22no—
51C22×C4×D53—22no—
52C22×C4×D53—22no—
53C22×C4×D53—22no—
54C22×C4×D53—42no—
55C22×C4×D53—42no—
56C22×C4×D53—42no—
57C22×C4×D53—42no—
58C22×C4×D53C2×C414yes—
59C22×C4×D53C2×C414yes—
60C22×C4×D53C2×C414yes—
61C22×C4×D53D414yes—
62C22×C4×D53D414yes—
63C2×C4⋊Dic53—22no—
64C2×C4⋊Dic53—22no—
65C2×C4⋊Dic53—22no—
66C2×C4⋊Dic53—42no—
67C2×C4⋊Dic53C2×C414yes—
68C2×#11719919—22no—
69C2×#11719919—22no—
70C2×#11719919—22no—
71C2×#11719919—22no—
72C2×#11719919C2×C414yes—
73C2×#11719919C2×C414yes—
74C4⋊C4×D53—232no—
75C2×#11719921—24no—
76C2×#11719921—24no—
77C2×#11719921—24no—
78C2×#11719921—24no—
79C2×#11719921—24no—
80C2×#11719921Q818yes—
81C2×C4×Dic53—24no—
82C2×C4×Dic53—42no—
83C2×C4×Dic53—42no—
84#13133124—22no—
85#13133124—24no—
86#13133124—24no—
87#13133124—24no—
88#13133124—24no—
89#13133124—42no—
90#13133124—42no—
91#13133124—42no—
92C23×C4×C53C2312yes—
93C23×C4×C53C2311yescharacteristic
94C23×C4×C53C2312yes—
95C23×C4×C53C2311yescharacteristic
96C23×C4×C53C2311yescharacteristic
97C2×C4⋊C4×C53—22no—
98C2×C4⋊C4×C53—22no—
99C2×C4⋊C4×C53—22no—
100C2×C4⋊C4×C53—42no—
101C2×C4⋊C4×C53C2×C414yes—
102#95×C53—22no—
103#95×C53—24no—
104#95×C53—42no—
105C24×C53C2411yescharacteristic
106C23×D53—21no—
107C23×D53—21no—
108C23×D53—21no—
109C23×D53—21no—
110C23×D53—22no—
111C23×D53—22no—
112C23×D53C22×C412yes—
113C23×D53C2×D412yes—
114C23×D53C2×D412yes—
115C23×D53C2×Q814yes—
116C23×D53#4114yes—
117C22×C4×C53—21no—
118C22×C4×C53—21no—
119C22×C4×C53—21no—
120C22×C4×C53—21no—
121C22×C4×C53—22no—
122C22×C4×C53—22no—
123C22×C4×C53—22no—
124C22×C4×C53—21no—
125C22×C4×C53—21no—
126C22×C4×C53—22no—
127C22×C4×C53—22no—
128C22×C4×C53—22no—
129C22×C4×C53—22no—
130C22×C4×C53—22no—
131C22×C4×C53—22no—
132C22×C4×C53—22no—
133C22×C4×C53—22no—
134C22×C4×C53—22no—
135C22×C4×C53—22no—
136C22×C4×C53—22no—
137C22×C4×C53—22no—
138C22×C4×C53—22no—
139C22×C4×C53—22no—
140C22×C4×C53C22×C412yes—
141C22×C4×C53C22×C412yes—
142C22×C4×C53C22×C412yes—
143C22×C4×C53C2×D412yes—
144C22×C4×C53C2×D412yes—
145C22×C4×C53C2×Q814yes—
146C22×C4×C53#4112yes—
147C22×C4×C53#4112yes—
148C22×Dic53—21no—
149C22×Dic53—21no—
150C22×Dic53—21no—
151C22×Dic53—21no—
152C22×Dic53—22no—
153C22×Dic53—22no—
154C22×Dic53—22no—
155C22×Dic53—21no—
156C22×Dic53—21no—
157C22×Dic53—22no—
158C22×Dic53—22no—
159C22×Dic53—22no—
160C22×Dic53—22no—
161C22×Dic53—22no—
162C22×Dic53—22no—
163C22×Dic53—22no—
164C22×Dic53—22no—
165C22×Dic53—22no—
166C22×Dic53—22no—
167C22×Dic53—22no—
168C22×Dic53—22no—
169C22×Dic53—22no—
170C22×Dic53—22no—
171C22×Dic53C22×C412yes—
172C22×Dic53C22×C412yes—
173C22×Dic53C22×C412yes—
174C22×Dic53C2×D412yes—
175C22×Dic53C2×D412yes—
176C22×Dic53C2×Q814yes—
177C22×Dic53#4112yes—
178C22×Dic53#4112yes—
179C2×C4×D53—28no—
180C2×C4×D53—28no—
181C2×C4×D53—28no—
182C2×C4×D53—28no—
183C2×C4×D53—28no—
184C2×C4×D53—28no—
185C2×C4×D53—28no—
186C2×C4×D53—28no—
187C2×C4×D53—48no—
188C2×C4×D53—48no—
189C2×C4×D53—44no—
190C2×C4×D53—44no—
191C2×C4×D53—48no—
192C2×C4×D53—48no—
193C2×C4×D53—44no—
194C2×C4×D53—44no—
195C2×C4×D53C22⋊C4116yes—
196C4⋊C4×C53—28no—
197C4⋊C4×C53—44no—
198#11719921—216no—
199#11719921—48no—
200C4⋊Dic53—28no—
201C4⋊Dic53—44no—
202#11719919—28no—
203#11719919—28no—
204C4×Dic53—48no—
205C23×C53C23×C411yescharacteristic
206C23×C53C22×D411yescharacteristic
207C23×C53C22×D411yescharacteristic
208C23×C53C22×Q812yes—
209C23×C53C2×#4111yescharacteristic
210C23×C53C2×#4111yescharacteristic
211C23×C53C2×#4112yes—
212C23×C53C2×#4111yescharacteristic
213C23×C53C2×#4111yescharacteristic
214C23×C53H(5,𝔽2)12yes—
215C23×C53H(5,𝔽2)12yes—
216C22×D53—22no—
217C22×D53—22no—
218C22×D53—24no—
219C22×D53—22no—
220C22×D53—22no—
221C22×D53—22no—
222C22×D53—22no—
223C22×D53—24no—
224C22×D53—22no—
225C22×D53—22no—
226C22×D53—24no—
227C22×D53—24no—
228C22×D53—24no—
229C22×D53—24no—
230C22×D53—24no—
231C22×D53—24no—
232C22×D53—24no—
233C22×D53—24no—
234C22×D53C2×C22⋊C414yes—
235C22×D53C4×Q818yes—
236C22×D53C22⋊Q818yes—
237C22×D53#12414yes—
238C22×D53C4⋊Q814yes—
239C2×C4×C53—22no—
240C2×C4×C53—22no—
241C2×C4×C53—24no—
242C2×C4×C53—22no—
243C2×C4×C53—22no—
244C2×C4×C53—22no—
245C2×C4×C53—22no—
246C2×C4×C53—24no—
247C2×C4×C53—22no—
248C2×C4×C53—22no—
249C2×C4×C53—22no—
250C2×C4×C53—24no—
251C2×C4×C53—24no—
252C2×C4×C53—24no—
253C2×C4×C53—24no—
254C2×C4×C53—42no—
255C2×C4×C53—42no—
256C2×C4×C53—41no—
257C2×C4×C53—41no—
258C2×C4×C53—42no—
259C2×C4×C53—42no—
260C2×C4×C53—42no—
261C2×C4×C53—42no—
262C2×C4×C53—42no—
263C2×C4×C53—42no—
264C2×C4×C53—42no—
265C2×C4×C53—42no—
266C2×C4×C53—42no—
267C2×C4×C53—42no—
268C2×C4×C53C2×C22⋊C414yes—
269C2×C4×C53#11714yes—
270C2×Dic53—22no—
271C2×Dic53—22no—
272C2×Dic53—24no—
273C2×Dic53—22no—
274C2×Dic53—22no—
275C2×Dic53—22no—
276C2×Dic53—22no—
277C2×Dic53—22no—
278C2×Dic53—22no—
279C2×Dic53—24no—
280C2×Dic53—22no—
281C2×Dic53—24no—
282C2×Dic53—24no—
283C2×Dic53—24no—
284C2×Dic53—24no—
285C2×Dic53—42no—
286C2×Dic53—42no—
287C2×Dic53—41no—
288C2×Dic53—41no—
289C2×Dic53—42no—
290C2×Dic53—42no—
291C2×Dic53—42no—
292C2×Dic53—42no—
293C2×Dic53—42no—
294C2×Dic53—42no—
295C2×Dic53—42no—
296C2×Dic53—42no—
297C2×Dic53—42no—
298C2×Dic53—42no—
299C2×Dic53C2×C22⋊C414yes—
300C2×Dic53#11714yes—
301C4×D53—232no—
302C4×D53—416no—
303C4×D53—416no—
304#13923—531nomaximal, Sylow
305C22×C53C22×C22⋊C411yescharacteristic
306C22×C53C2×#11711yescharacteristic
307C22×C53C2×#11711yescharacteristic
308C22×C53C2×C4×Q812yes—
309C22×C53#51812yes—
310C22×C53C2×C22⋊Q812yes—
311C22×C53#52511yescharacteristic
312C22×C53#52511yescharacteristic
313C22×C53#52511yescharacteristic
314C22×C53#52511yescharacteristic
315C22×C53C2×#12411yescharacteristic
316C22×C53C2×C4⋊Q811yescharacteristic
317C22×C53#53412yes—
318C22×C53#53411yescharacteristic
319C22×C53#53411yescharacteristic
320C22×C53#55312yes—
321C22×C53#55312yes—
322C22×C53#55312yes—
323C22×C53#55312yes—
324C22×C53#55412yes—
325C22×C53#55412yes—
326C22×C53#55412yes—
327C22×C53#55412yes—
328C2×D53—24no—
329C2×D53—28no—
330C2×D53—28no—
331C2×D53—24no—
332C2×D53—24no—
333C2×D53—24no—
334C2×D53—24no—
335C2×D53—28no—
336C2×D53—28no—
337C2×D53—24no—
338C2×D53#39118yes—
339C4×C53—24no—
340C4×C53—24no—
341C4×C53—42no—
342C4×C53—44no—
343C4×C53—82no—
344Dic53—24no—
345Dic53—24no—
346Dic53—42no—
347Dic53—44no—
348Dic53—82no—
349C23×C4⋊C4—531no—
350C2×#380—531no—
351C2×C4×C22⋊C4—531no—
352#1441—531no—
353#1441—531no—
354#1441—531no—
355#1441D5311yescharacteristic, complemented
356#1436—532no—
357#1436—532no—
358C22⋊#95—532no—
359C22⋊#95—532no—
360C2×C53#228011yescharacteristic
361C2×C53C2×#39111yescharacteristic
362C2×C53#230811yescharacteristic
363C2×C53#234512yes—
364C2×C53#234512yes—
365C2×C53#257912yes—
366C2×C53#257912yes—
367C2×C53#258311yescharacteristic
368C2×C53#258311yescharacteristic
369C2×C53#259111yescharacteristic
370C2×C53#259111yescharacteristic
371D53—28no—
372C24×C4—531no—
373C24×C4—531no—
374C24×C4—531no—
375C22×C4⋊C4—531no—
376C22×C4⋊C4—531no—
377C22×C4⋊C4—531no—
378C22×C4⋊C4—538no—
379C22×C4⋊C4—531no—
380C22×C4⋊C4—1064no—
381C22×C4⋊C4—1064no—
382C22×C4⋊C4C2×D5311yescharacteristic
383C22×C4⋊C4C2×D5311yescharacteristic
384C22×C22⋊C4—532no—
385C22×C22⋊C4—532no—
386C22×C42—532no—
387#380—1064no—
388C4×C22⋊C4—1064no—
389C2×#95—532no—
390C2×#95—532no—
391C2×#95—532no—
392C2×#95—532no—
393C2×#95—531no—
394C2×#95—532no—
395C2×#95—532no—
396C2×#95—532no—
397C2×#95C2×D5312yes—
398C2×#95C2×D5311yescharacteristic
399C2×#95C2×D5312yes—
400C53#1392311yescharacteristic, complemented, Sylow
401C25—531no—
402C23×C4—531no—
403C23×C4—531no—
404C23×C4—534no—
405C23×C4—534no—
406C23×C4—534no—
407C23×C4—532no—
408C23×C4—531no—
409C23×C4—534no—
410C23×C4—534no—
411C23×C4—532no—
412C23×C4—1062no—
413C23×C4—1062no—
414C23×C4—1062no—
415C23×C4—1062no—
416C23×C4—1062no—
417C23×C4—1062no—
418C23×C4—1062no—
419C23×C4—1062no—
420C23×C4—2122no—
421C23×C4—2122no—
422C23×C4—2122no—
423C23×C4—2122no—
424C23×C4C22×D5312yes—
425C23×C4C22×D5311yescharacteristic
426C23×C4C22×D5312yes—
427C23×C4C22×D5311yescharacteristic
428C23×C4C22×D5311yescharacteristic
429C2×C4⋊C4—22no—
430C2×C4⋊C4—22no—
431C2×C4⋊C4—22no—
432C2×C4⋊C4—42no—
433C2×C4⋊C4—534no—
434C2×C4⋊C4—534no—
435C2×C4⋊C4—534no—
436C2×C4⋊C4—10632no—
437C2×C4⋊C4—1062no—
438C2×C4⋊C4—1062no—
439C2×C4⋊C4—1062no—
440C2×C4⋊C4—1062no—
441C2×C4⋊C4—1062no—
442C2×C4⋊C4—1062no—
443C2×C4⋊C4—1062no—
444C2×C4⋊C4—2122no—
445C2×C4⋊C4C4×D5314yes—
446C2×C22⋊C4—538no—
447C2×C22⋊C4—1064no—
448C2×C22⋊C4—1064no—
449C2×C22⋊C4—1064no—
450C2×C22⋊C4—1064no—
451C2×C22⋊C4—1064no—
452C2×C42—1064no—
453C2×C42—2122no—
454C2×C42—2122no—
455#95—22no—
456#95—24no—
457#95—42no—
458#95—1064no—
459#95—1064no—
460#95—1064no—
461#95—1062no—
462#95—1064no—
463#95—2122no—
464#95—2122no—
465#95—2122no—
466C24—532no—
467C24—532no—
468C24—532no—
469C24—534no—
470C24—534no—
471C24—1061no—
472C24—1061no—
473C24—1061no—
474C24—1061no—
475C24—1062no—
476C24—1062no—
477C24C23×D5311yescharacteristic
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—532no—
502C22×C4—532no—
503C22×C4—532no—
504C22×C4—532no—
505C22×C4—532no—
506C22×C4—532no—
507C22×C4—5316no—
508C22×C4—532no—
509C22×C4—534no—
510C22×C4—1068no—
511C22×C4—1068no—
512C22×C4—1068no—
513C22×C4—1068no—
514C22×C4—1068no—
515C22×C4—1068no—
516C22×C4—1068no—
517C22×C4—1061no—
518C22×C4—1061no—
519C22×C4—1061no—
520C22×C4—1061no—
521C22×C4—1062no—
522C22×C4—1062no—
523C22×C4—1068no—
524C22×C4—1062no—
525C22×C4—1061no—
526C22×C4—1061no—
527C22×C4—1062no—
528C22×C4—1062no—
529C22×C4—1062no—
530C22×C4—1062no—
531C22×C4—1062no—
532C22×C4—1062no—
533C22×C4—1062no—
534C22×C4—1062no—
535C22×C4—1062no—
536C22×C4—1062no—
537C22×C4—1062no—
538C22×C4—1062no—
539C22×C4—1062no—
540C22×C4—1062no—
541C22×C4—2128no—
542C22×C4—2128no—
543C22×C4—2124no—
544C22×C4—2124no—
545C22×C4—2128no—
546C22×C4—2128no—
547C22×C4—2124no—
548C22×C4—2124no—
549C22×C4C2×C4×D5312yes—
550C22×C4C2×C4×D5312yes—
551C22×C4C2×C4×D5312yes—
552C22×C4D4×D5312yes—
553C22×C4D4×D5312yes—
554C22×C4#1171994712yes—
555C22×C4Q8×D5314yes—
556C22×C4#1171994912yes—
557C4⋊C4—28no—
558C4⋊C4—44no—
559C4⋊C4—1068no—
560C4⋊C4—1068no—
561C4⋊C4—1068no—
562C4⋊C4—2124no—
563C22⋊C4—10616no—
564C22⋊C4—2128no—
565C42—2128no—
566C23—534no—
567C23—538no—
568C23—538no—
569C23—534no—
570C23—534no—
571C23—1064no—
572C23—1064no—
573C23—1064no—
574C23—1064no—
575C23—1064no—
576C23—1064no—
577C23—1062no—
578C23—1064no—
579C23—1062no—
580C23—1064no—
581C23—1064no—
582C23—1062no—
583C23—1062no—
584C23—1062no—
585C23—1062no—
586C23—1064no—
587C23—1062no—
588C23—1062no—
589C23C22×C4×D5311yescharacteristic
590C23C2×D4×D5311yescharacteristic
591C23C2×D4×D5311yescharacteristic
592C23C2×Q8×D5312yes—
593C23#41×D5311yescharacteristic
594C23#41×D5312yes—
595C23#41×D5311yescharacteristic
596C23C2×#1171994711yescharacteristic
597C23C2×#1171994911yescharacteristic
598C23#1313326212yes—
599C23#1313326312yes—
600C2×C4—22no—
601C2×C4—22no—
602C2×C4—24no—
603C2×C4—22no—
604C2×C4—22no—
605C2×C4—22no—
606C2×C4—22no—
607C2×C4—24no—
608C2×C4—22no—
609C2×C4—22no—
610C2×C4—22no—
611C2×C4—24no—
612C2×C4—24no—
613C2×C4—24no—
614C2×C4—24no—
615C2×C4—42no—
616C2×C4—42no—
617C2×C4—42no—
618C2×C4—42no—
619C2×C4—42no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—42no—
623C2×C4—42no—
624C2×C4—42no—
625C2×C4—42no—
626C2×C4—42no—
627C2×C4—42no—
628C2×C4—42no—
629C2×C4—534no—
630C2×C4—534no—
631C2×C4—10632no—
632C2×C4—1062no—
633C2×C4—1062no—
634C2×C4—1064no—
635C2×C4—1062no—
636C2×C4—1062no—
637C2×C4—1062no—
638C2×C4—1062no—
639C2×C4—1064no—
640C2×C4—1062no—
641C2×C4—1062no—
642C2×C4—1062no—
643C2×C4—1064no—
644C2×C4—1064no—
645C2×C4—1064no—
646C2×C4—1064no—
647C2×C4—21216no—
648C2×C4—21216no—
649C2×C4—2122no—
650C2×C4—2122no—
651C2×C4—2122no—
652C2×C4—2122no—
653C2×C4—2122no—
654C2×C4—2122no—
655C2×C4—2122no—
656C2×C4—2122no—
657C2×C4—2122no—
658C2×C4—2122no—
659C2×C4—2122no—
660C2×C4—2122no—
661C2×C4—2121no—
662C2×C4—2121no—
663C2×C4C22⋊C4×D5314yes—
664C2×C4#1313317514yes—
665C22—538no—
666C22—1064no—
667C22—1064no—
668C22—1064no—
669C22—1068no—
670C22—1068no—
671C22—1064no—
672C22—1064no—
673C22—1064no—
674C22—1068no—
675C22—1068no—
676C22C2×C22⋊C4×D5311yescharacteristic
677C22#117×D5311yescharacteristic
678C22C2×#1313317511yescharacteristic
679C22C4×Q8×D5312yes—
680C22#1681109512yes—
681C22C22⋊Q8×D5312yes—
682C22#1681113311yescharacteristic
683C22#1681113311yescharacteristic
684C22#1681113611yescharacteristic
685C22#1681113611yescharacteristic
686C22#124×D5311yescharacteristic
687C22C4⋊Q8×D5311yescharacteristic
688C22#1681118112yes—
689C22#1681118311yescharacteristic
690C22#1681118411yescharacteristic
691C22#1681131812yes—
692C22#1681132012yes—
693C22#1681132412yes—
694C22#1681132612yes—
695C22#1681132712yes—
696C22#1681132912yes—
697C22#1681133112yes—
698C22#1681133412yes—
699C4—24no—
700C4—24no—
701C4—42no—
702C4—44no—
703C4—82no—
704C4—1064no—
705C4—1064no—
706C4—4242no—
707C4—2122no—
708C4—2124no—
709C2—1068no—
710C2#2027709711yescharacteristic
711C2#391×D5311yescharacteristic
712C2#2027728911yescharacteristic
713C2#2027758912yes—
714C2#2027759112yes—
715C2#2028005712yes—
716C2#2028006312yes—
717C2#2028008911yescharacteristic
718C2#2028009111yescharacteristic
719C2#2028018911yescharacteristic
720C2#2028019111yescharacteristic
subgroupG/H
center, FrattiniC24C23×D53
commutatorC23×C53C23×C4
FittingC53×#1441C2
socle, cosocleC24×C53C24
prime radicalC24×D53C23
hypercenter#1441D53
hypocenterC53#13923
LCSG ▷ C23×C53 ▷ C53
UCSC1 ◁ C24 ◁ #1441

Complements

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

NH ≅ G/Ntype
4. #20272969C2semidirect
5. #20272968C2semidirect
6. #20272965C2semidirect
7. #20272949C2semidirect
8. #20272946C2semidirect
11. C53×#1441C2semidirect
21. C2×C4⋊C4×D53C4semidirect
355. #1441D53semidirect
400. C53#13923semidirect

Maximal subgroups

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

subgroupindex
C22×C4⋊C4×D532
C2×#168104802
C2×#168104702
#202729692
#202729682
#202729652
#202729492
#202729462
#202729362
C53×#14412
#1392353