Finite Group Databasebeta

← #27351874

Subgroups — #27351874

Order 13568.

1074 conjugacy classes of subgroups.

The subgroup lattice has 686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20288554C211yesmaximal, characteristic
2#20277625C211yesmaximal, characteristic, complemented
3#20273288C211yesmaximal, characteristic, complemented
4#20273284C211yesmaximal, characteristic, complemented
5#20273259C212yesmaximal, complemented
6#20273254C212yesmaximal, complemented
7#20273241C212yesmaximal, complemented
8#20273220C212yesmaximal, complemented
9C2×#16810361C211yesmaximal, characteristic, complemented
10C2×#16810358C211yesmaximal, characteristic, complemented
11C53×#2973C211yesmaximal, characteristic, complemented
12#16811322—22no—
13#16811319C412yescomplemented
14#16811313C412yescomplemented
15#16811302—22no—
16#16811282C412yescomplemented
17#16811269C412yescomplemented
18#16811220—21no—
19#16811211—21no—
20#16811182—21no—
21#16811157C2212yes—
22#16811134C2212yes—
23C2×#13133196C2211yescharacteristic
24C2×#13133191C2211yescharacteristic
25#16811096—21no—
26C2×D4×Dic53—21no—
27#16810522—21no—
28#16810498—21no—
29#16810498—21no—
30#16810489C2211yescharacteristic, complemented
31#16810483C2211yescharacteristic
32#16810483C2211yescharacteristic, complemented
33C4×C4⋊Dic53C2211yescharacteristic, complemented
34C2×#13133124C2211yescharacteristic
35C2×#13133124C2211yescharacteristic, complemented
36#16810361C2212yescomplemented
37#16810361C2212yescomplemented
38#16810361C2212yescomplemented
39#16810361C2212yescomplemented
40#16810358C2212yes—
41#16810358C2212yes—
42#16810358C2212yes—
43#16810358C2212yes—
44C2×C4×D4×C53C2211yescharacteristic
45C53×#435—22no—
46C53×#435—22no—
47C53×#432C2212yescomplemented
48C53×#407C2212yescomplemented
49C2×C22⋊C8×C53C2211yescharacteristic
50C2×C22⋊C8×C53C2211yescharacteristic
51C2×#11719945C2×C412yescomplemented
52C22×Dic106C2×C411yescharacteristic, complemented
53C22×D212C2×C411yescharacteristic, complemented
54C22×C22⋊D53—21no—
55C23×Dic53—21no—
56C23×Dic53—21no—
57#13133212—22no—
58#13133211—22no—
59#13133210—22no—
60#13133209C2×C412yescomplemented
61#13133207—22no—
62#13133205C2×C412yescomplemented
63#13133203—22no—
64#13133202—22no—
65#13133200—22no—
66#13133200—22no—
67#13133199—22no—
68#13133198—22no—
69#13133196—21no—
70#13133196—21no—
71#13133196C2×C412yescomplemented
72#13133196C2×C412yescomplemented
73#13133196C2312yes—
74#13133195—22no—
75#13133191—21no—
76#13133191—21no—
77#13133191C2×C412yescomplemented
78#13133191C2×C412yescomplemented
79#13133191C2312yes—
80#13133190—22no—
81#13133189—22no—
82#13133189—22no—
83#13133186—22no—
84#13133185—22no—
85C4×Dic106C2×C412yescomplemented
86C4×D212C2×C412yescomplemented
87D4×Dic53—44no—
88C4×C22⋊D53—22no—
89C4×C22⋊D53—22no—
90C4×C22⋊D53—22no—
91#13133177—22no—
92#13133177—22no—
93#13133176C2×C412yescomplemented
94#13133174—22no—
95#13133173—22no—
96C2×C4⋊Dic53—21no—
97C2×C4⋊Dic53—21no—
98C2×C4⋊Dic53—21no—
99C2×C4⋊Dic53—21no—
100C2×C4⋊Dic53C2×C411yescharacteristic, complemented
101C2×C4⋊Dic53C2×C411yescharacteristic, complemented
102C2×#11719919—21no—
103C2×C22⋊Dic53—21no—
104C2×C22⋊Dic53—21no—
105C2×C22⋊Dic53—21no—
106C2×#11719921—21no—
107C22⋊C4×D53—22no—
108C2×C4×Dic53—21no—
109#13133124—21no—
110#13133124—21no—
111#13133124—21no—
112#13133124C2311yescharacteristic
113#13133124C2311yescharacteristic
114#13133124C2311yescharacteristic
115#13133124C2311yescharacteristic
116C22×D4×C53D411yescharacteristic
117C23×C4×C53C2311yescharacteristic
118C23×C4×C53C2311yescharacteristic
119C2×M16×C53—22no—
120C22×C8×C53—21no—
121C22×C8×C53—21no—
122C4×D4×C53C2×C412yes—
123C4×D4×C53C2×C412yes—
124C4×D4×C53D412yes—
125C4×D4×C53D412yes—
126C2×C4⋊C4×C53D411yescharacteristic
127C2×C22⋊C4×C53D411yescharacteristic
128C2×C22⋊C4×C53D411yescharacteristic
129C2×C42×C53C2311yescharacteristic
130C4⋊C8×C53—22no—
131C22⋊C8×C53—21no—
132C22⋊C8×C53—21no—
133C22⋊C8×C53—22no—
134C22⋊C8×C53C2312yes—
135C22⋊C8×C53C2312yes—
136#97×C53—22no—
137C24×C53C2×D411yescharacteristic
138C24×C53C2×D411yescharacteristic
139C23×D53—21no—
140C2×D4×C53—22no—
141C2×D4×C53—22no—
142C2×D4×C53C22⋊C412yes—
143C2×D4×C53C22⋊C412yes—
144C22×C4×C53—81no—
145C22×C4×C53—81no—
146C22×C4×C53C22×C411yescharacteristic
147C22×C4×C53C22×C411yescharacteristic
148C22×C4×C53C22×C412yes—
149C22×C4×C53C2×D411yescharacteristic
150C22×C4×C53C2×D411yescharacteristic
151C22×C4×C53C2×D411yescharacteristic
152C22×C4×C53C2×D411yescharacteristic
153C22×C4×C53C2×D411yescharacteristic
154C22×C4×C53C2×D411yescharacteristic
155C22×C4×C53C2×D412yes—
156C22×C4×C53C2411yescharacteristic
157C2×C22⋊D53—22no—
158C2×C22⋊D53—22no—
159C2×C22⋊D53—22no—
160C2×C22⋊D53—22no—
161C2×C22⋊D53—42no—
162C2×C22⋊D53—42no—
163C22×Dic53—21no—
164C22×Dic53—21no—
165C22×Dic53—21no—
166C22×Dic53—21no—
167C22×Dic53—21no—
168C22×Dic53—21no—
169C22×Dic53—21no—
170C22×Dic53—42no—
171C22×Dic53—42no—
172C22×Dic53—42no—
173C22×Dic53—42no—
174C22×Dic53—81no—
175C22×Dic53—81no—
176#11719945—82no—
177C2×D212—21no—
178C2×D212—81no—
179C2×D212C22×C412yes—
180C2×C4×D53—22no—
181C2×C4×D53—22no—
182C2×Dic106—21no—
183C2×Dic106—81no—
184C2×Dic106C22×C412yes—
185M16×C53—82no—
186C2×C8×C53—22no—
187C2×C8×C53—22no—
188C2×C8×C53—81no—
189C2×C8×C53—81no—
190C4⋊C4×C53C22⋊C412yes—
191C4⋊C4×C53C22⋊C412yes—
192C22⋊C4×C53C22⋊C412yes—
193C22⋊C4×C53C22⋊C412yes—
194C22⋊C4×C53C22⋊C412yes—
195C22⋊C4×C53C22⋊C412yes—
196C42×C53C22×C412yes—
197C42×C53C2×D412yes—
198C22⋊Dic53—22no—
199C22⋊Dic53—22no—
200C22⋊Dic53—22no—
201C22⋊Dic53—22no—
202C22⋊Dic53—42no—
203C22⋊Dic53—42no—
204#11719921—22no—
205#11719921—22no—
206#11719921—22no—
207#11719921—22no—
208#11719921—22no—
209#11719921—22no—
210C4⋊Dic53—21no—
211C4⋊Dic53—21no—
212C4⋊Dic53—42no—
213C4⋊Dic53—42no—
214C4⋊Dic53—81no—
215C4⋊Dic53—81no—
216C4⋊Dic53C22×C412yes—
217C4⋊Dic53C22×C412yes—
218#11719919—22no—
219#11719919—22no—
220#11719919—22no—
221#11719919—22no—
222#11719919—22no—
223#11719919—22no—
224C4×Dic53—22no—
225C4×Dic53—22no—
226C4×Dic53—42no—
227C23×C53—21no—
228C23×C53—21no—
229C23×C53—41no—
230C23×C53—41no—
231C23×C53—41no—
232C23×C53—41no—
233C23×C53C2×C22⋊C412yes—
234C23×C53C2×C22⋊C411yescharacteristic
235C23×C53C2×C22⋊C411yescharacteristic
236C23×C53AGL(1,ℤ/8)12yes—
237C23×C53#13712yes—
238C23×C53C22×D411yescharacteristic
239C22×D53—22no—
240C22×D53—42no—
241C22×D53—81no—
242C22×D53—81no—
243D4×C53—24no—
244D4×C53—24no—
245C2×C4×C53—21no—
246C2×C4×C53—21no—
247C2×C4×C53—41no—
248C2×C4×C53—41no—
249C2×C4×C53—42no—
250C2×C4×C53—41no—
251C2×C4×C53—41no—
252C2×C4×C53—41no—
253C2×C4×C53—41no—
254C2×C4×C53—41no—
255C2×C4×C53—42no—
256C2×C4×C53—41no—
257C2×C4×C53C2×C22⋊C411yescharacteristic
258C2×C4×C53C2×C22⋊C412yes—
259C2×C4×C53C2×C22⋊C412yes—
260C2×C4×C53C2×C22⋊C411yescharacteristic
261C2×C4×C53C2×C22⋊C412yes—
262C2×C4×C53C23×C411yescharacteristic
263C2×C4×C53C22×D411yescharacteristic
264C22⋊D53—42no—
265C22⋊D53—42no—
266C22⋊D53—44no—
267C22⋊D53—82no—
268C22⋊D53—82no—
269C2×Dic53—22no—
270C2×Dic53—22no—
271C2×Dic53—22no—
272C2×Dic53—22no—
273C2×Dic53—41no—
274C2×Dic53—41no—
275C2×Dic53—42no—
276C2×Dic53—41no—
277C2×Dic53—41no—
278C2×Dic53—41no—
279C2×Dic53—41no—
280C2×Dic53—41no—
281C2×Dic53—41no—
282C2×Dic53—41no—
283C2×Dic53—41no—
284C2×Dic53—41no—
285C2×Dic53—81no—
286C2×Dic53—81no—
287C2×Dic53—84no—
288C2×Dic53—84no—
289D212—42no—
290D212—81no—
291C4×D53—82no—
292C4×D53—82no—
293Dic106—42no—
294Dic106—81no—
295C8×C53—42no—
296C8×C53—42no—
297#17622—531nomaximal, Sylow
298C22×C53—21no—
299C22×C53—21no—
300C22×C53—21no—
301C22×C53—21no—
302C22×C53—21no—
303C22×C53—21no—
304C22×C53—22no—
305C22×C53—22no—
306C22×C53—22no—
307C22×C53—42no—
308C22×C53—42no—
309C22×C53—42no—
310C22×C53—42no—
311C22×C53#41712yes—
312C22×C53#41712yes—
313C22×C53C22×C22⋊C411yescharacteristic
314C22×C53C2×AGL(1,ℤ/8)11yescharacteristic
315C22×C53C2×#13711yescharacteristic
316C2×D53—42no—
317C2×D53—42no—
318C2×D53—42no—
319C2×D53—162no—
320C4×C53—21no—
321C4×C53—21no—
322C4×C53—21no—
323C4×C53—22no—
324C4×C53—21no—
325C4×C53—22no—
326C4×C53—22no—
327Dic53—42no—
328Dic53—42no—
329Dic53—42no—
330Dic53—42no—
331Dic53—81no—
332Dic53—81no—
333Dic53—81no—
334#3505—531no—
335#2973D5311yescharacteristic, complemented
336#2349—531no—
337#1520—531no—
338#1519—531no—
339#1513—532no—
340#1512—532no—
341#1509—532no—
342#1504—532no—
343C2×#328—531no—
344C2×#327—531no—
345C2×C53—21no—
346C2×C53—22no—
347C2×C53—21no—
348C2×C53—22no—
349C2×C53—42no—
350C2×C53#288311yescharacteristic
351C2×C53C2×#41711yescharacteristic
352C2×C53#290111yescharacteristic
353D53—82no—
354#553—532no—
355#553—1062no—
356#552—532no—
357#551—1062no—
358#548—532no—
359#546—532no—
360#539—1061no—
361#538—1061no—
362#534—1061no—
363#529—532no—
364#525—532no—
365C2×C22⋊Q8—531no—
366C2×#121—531no—
367#518—1061no—
368C2×C4×D4—1061no—
369C2×C4×D4C2×D5311yescharacteristic
370#435—22no—
371#435—22no—
372#432C2×D5312yescomplemented
373#407C2×D5312yescomplemented
374C2×C22⋊C8C2×D5311yescharacteristic
375C2×C22⋊C8C2×D5311yescharacteristic
376#389—1061no—
377#385—1061no—
378#385—1061no—
379#382—531no—
380#380—531no—
381#380—531no—
382C4×C4⋊C4—531no—
383C2×#95—531no—
384C2×#95—531no—
385#328—532no—
386#328—532no—
387#328—532no—
388#328—532no—
389#327—532no—
390#327—532no—
391#327—532no—
392#327—532no—
393C53#1762211yescharacteristic, complemented, Sylow
394C2×#41—532no—
395C22×Q8—531no—
396C22×D4—531no—
397C22×D4—1061no—
398C22×D4D21211yescharacteristic
399C23×C4—1061no—
400C23×C4—1061no—
401C23×C4C22×D5311yescharacteristic
402C23×C4C22×D5311yescharacteristic
403C2×M16—22no—
404C22×C8—21no—
405C22×C8—21no—
406#126—1062no—
407#126—1062no—
408#126—1062no—
409#125—532no—
410#125—1062no—
411#124—532no—
412#124—1062no—
413#123—1062no—
414#123—1062no—
415#123—1062no—
416#123—1062no—
417#123—1062no—
418C22⋊Q8—532no—
419C22⋊Q8—532no—
420C22⋊Q8—532no—
421C22⋊Q8—1061no—
422C22⋊Q8—1061no—
423C22⋊Q8—1062no—
424#121—532no—
425#121—532no—
426#121—532no—
427#121—1062no—
428#121—1062no—
429#121—1061no—
430#121—1061no—
431#121—1062no—
432#120—1062no—
433#120—1062no—
434C4×Q8—532no—
435C4×D4—532no—
436C4×D4—1062no—
437C4×D4—1062no—
438C4×D4—1062no—
439C4×D4—1062no—
440C4×D4—1062no—
441C4×D4—2124no—
442C4×D4C4×D5312yes—
443C4×D4C4×D5312yes—
444C4×D4C22⋊D5312yes—
445C4×D4C22⋊D5312yes—
446#117—532no—
447#117—1062no—
448#117—1062no—
449C2×C4⋊C4—531no—
450C2×C4⋊C4—531no—
451C2×C4⋊C4—1061no—
452C2×C4⋊C4—1061no—
453C2×C4⋊C4—1061no—
454C2×C4⋊C4—1061no—
455C2×C4⋊C4—1061no—
456C2×C4⋊C4D21211yescharacteristic
457C2×C22⋊C4—1061no—
458C2×C22⋊C4—1061no—
459C2×C22⋊C4—1062no—
460C2×C22⋊C4—1061no—
461C2×C22⋊C4—1061no—
462C2×C22⋊C4D21211yescharacteristic
463C2×C22⋊C4D21211yescharacteristic
464C2×C42—1061no—
465C2×C42C22×D5311yescharacteristic
466C4⋊C8—22no—
467C22⋊C8—21no—
468C22⋊C8—21no—
469C22⋊C8—22no—
470C22⋊C8C22×D5312yes—
471C22⋊C8C22×D5312yes—
472#97—22no—
473#95—531no—
474#95—531no—
475#95—531no—
476#95—531no—
477#95—1061no—
478#95—1061no—
479#95—1061no—
480C24—1061no—
481C24C2×D21211yescharacteristic
482C24C2×D21211yescharacteristic
483#41—4242no—
484C2×Q8—532no—
485C2×Q8—1061no—
486C2×Q8—4241no—
487C2×D4—22no—
488C2×D4—22no—
489C2×D4—532no—
490C2×D4—1062no—
491C2×D4—1062no—
492C2×D4—1062no—
493C2×D4—1062no—
494C2×D4—1061no—
495C2×D4—4241no—
496C2×D4—2122no—
497C2×D4—2122no—
498C2×D4#1171992112yes—
499C2×D4#1171992112yes—
500C22×C4—81no—
501C22×C4—81no—
502C22×C4—1061no—
503C22×C4—1061no—
504C22×C4—1061no—
505C22×C4—1061no—
506C22×C4—1062no—
507C22×C4—1062no—
508C22×C4—1061no—
509C22×C4—1061no—
510C22×C4—1061no—
511C22×C4—4241no—
512C22×C4—4241no—
513C22×C4—2122no—
514C22×C4—2122no—
515C22×C4—2122no—
516C22×C4—2122no—
517C22×C4C2×C4×D5311yescharacteristic
518C22×C4C2×C4×D5311yescharacteristic
519C22×C4C2×C4×D5312yes—
520C22×C4C2×D21211yescharacteristic
521C22×C4C2×D21211yescharacteristic
522C22×C4C2×D21211yescharacteristic
523C22×C4C2×D21211yescharacteristic
524C22×C4C2×C22⋊D5311yescharacteristic
525C22×C4C2×C22⋊D5311yescharacteristic
526C22×C4C2×C22⋊D5312yes—
527C22×C4C23×D5311yescharacteristic
528M16—82no—
529C2×C8—22no—
530C2×C8—22no—
531C2×C8—81no—
532C2×C8—81no—
533C4⋊C4—532no—
534C4⋊C4—532no—
535C4⋊C4—1061no—
536C4⋊C4—1061no—
537C4⋊C4—1062no—
538C4⋊C4—1062no—
539C4⋊C4—1062no—
540C4⋊C4—1062no—
541C4⋊C4—1062no—
542C4⋊C4—1062no—
543C4⋊C4—4241no—
544C4⋊C4—4241no—
545C4⋊C4—2122no—
546C4⋊C4—2122no—
547C4⋊C4#1171992112yes—
548C4⋊C4#1171992112yes—
549C22⋊C4—1062no—
550C22⋊C4—1062no—
551C22⋊C4—1062no—
552C22⋊C4—1062no—
553C22⋊C4—1062no—
554C22⋊C4—1062no—
555C22⋊C4—1062no—
556C22⋊C4—1062no—
557C22⋊C4—1062no—
558C22⋊C4—1062no—
559C22⋊C4—2122no—
560C22⋊C4—2122no—
561C22⋊C4#1171992112yes—
562C22⋊C4#1171992112yes—
563C22⋊C4#1171992112yes—
564C22⋊C4#1171992112yes—
565C42—1062no—
566C42—1062no—
567C42—2122no—
568C42C2×C4×D5312yes—
569C42C2×C22⋊D5312yes—
570C23—21no—
571C23—21no—
572C23—41no—
573C23—41no—
574C23—41no—
575C23—41no—
576C23—1062no—
577C23—4241no—
578C23—4241no—
579C23—2122no—
580C23C2×#1171992112yes—
581C23C2×#1171992111yescharacteristic
582C23C2×#1171992111yescharacteristic
583C23#1313324512yes—
584C23#1313325012yes—
585C23C22×D21211yescharacteristic
586Q8—4241no—
587Q8—2122no—
588D4—24no—
589D4—24no—
590D4—4241no—
591D4—4242no—
592D4—4242no—
593D4—2122no—
594D4—2124no—
595D4—2122no—
596D4—2122no—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—41no—
600C2×C4—41no—
601C2×C4—41no—
602C2×C4—41no—
603C2×C4—41no—
604C2×C4—42no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—42no—
609C2×C4—1062no—
610C2×C4—1062no—
611C2×C4—1062no—
612C2×C4—1062no—
613C2×C4—4242no—
614C2×C4—4242no—
615C2×C4—4244no—
616C2×C4—4244no—
617C2×C4—4241no—
618C2×C4—4241no—
619C2×C4—2121no—
620C2×C4—2121no—
621C2×C4—2121no—
622C2×C4—2121no—
623C2×C4—2121no—
624C2×C4—2121no—
625C2×C4—2121no—
626C2×C4—2121no—
627C2×C4—2121no—
628C2×C4—2121no—
629C2×C4—2122no—
630C2×C4—2121no—
631C2×C4C2×#1171992112yes—
632C2×C4C2×#1171992112yes—
633C2×C4C2×#1171992112yes—
634C2×C4C2×#1171992111yescharacteristic
635C2×C4C2×#1171992111yescharacteristic
636C2×C4C22×C4×D5311yescharacteristic
637C2×C4C22×C22⋊D5311yescharacteristic
638C8—42no—
639C8—42no—
640C22—21no—
641C22—21no—
642C22—21no—
643C22—21no—
644C22—21no—
645C22—21no—
646C22—22no—
647C22—22no—
648C22—22no—
649C22—42no—
650C22—42no—
651C22—42no—
652C22—42no—
653C22—8482no—
654C22—2122no—
655C22—2122no—
656C22—2122no—
657C22#1681062512yes—
658C22#1681062512yes—
659C22C22×#1171992111yescharacteristic
660C22C2×#1313324511yescharacteristic
661C22C2×#1313325011yescharacteristic
662C4—21no—
663C4—21no—
664C4—22no—
665C4—21no—
666C4—21no—
667C4—22no—
668C4—22no—
669C4—4241no—
670C4—4241no—
671C4—4241no—
672C4—2122no—
673C4—2122no—
674C4—2122no—
675C4—2122no—
676C2—21no—
677C2—21no—
678C2—22no—
679C2—22no—
680C2—42no—
681C2—4242no—
682C2#2028317511yescharacteristic
683C2C2×#1681062511yescharacteristic
684C2#2028326011yescharacteristic
subgroupG/H
centerC22C22×#11719921
commutatorC2×C4×C53C23×C4
FrattiniC22×C4C23×D53
FittingC53×#2973C2
socleC22×C53C22×C22⋊C4
prime radical#20288554C2
cosocleC22×C4×C53C24
hypercenter#2973D53
hypocenterC53#17622
LCSG ▷ C2×C4×C53 ▷ C22×C53 ▷ C53
UCSC1 ◁ C22 ◁ C2×C4×D4 ◁ #2973

Complements

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

NH ≅ G/Ntype
2. #20277625C2semidirect
3. #20273288C2semidirect
4. #20273284C2semidirect
5. #20273259C2semidirect
6. #20273254C2semidirect
7. #20273241C2semidirect
8. #20273220C2semidirect
9. C2×#16810361C2semidirect
10. C2×#16810358C2semidirect
11. C53×#2973C2semidirect
13. #16811319C4semidirect
14. #16811313C4semidirect
16. #16811282C4semidirect
17. #16811269C4semidirect
30. #16810489C22semidirect
32. #16810483C22semidirect
33. C4×C4⋊Dic53C22semidirect
35. C2×#13133124C22semidirect
36. #16810361C22semidirect
37. #16810361C22semidirect
38. #16810361C22semidirect
39. #16810361C22semidirect
47. C53×#432C22semidirect
48. C53×#407C22semidirect
51. C2×#11719945C2×C4semidirect
52. C22×Dic106C2×C4semidirect
53. C22×D212C2×C4semidirect
60. #13133209C2×C4semidirect
62. #13133205C2×C4semidirect
71. #13133196C2×C4semidirect
72. #13133196C2×C4semidirect
77. #13133191C2×C4semidirect
78. #13133191C2×C4semidirect
85. C4×Dic106C2×C4semidirect
86. C4×D212C2×C4semidirect
93. #13133176C2×C4semidirect
100. C2×C4⋊Dic53C2×C4semidirect
101. C2×C4⋊Dic53C2×C4semidirect
335. #2973D53semidirect
372. #432C2×D53semidirect
373. #407C2×D53semidirect
393. C53#17622semidirect

Maximal subgroups

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

subgroupindex
#202885542
#202776252
#202732882
#202732842
#202732592
#202732542
#202732412
#202732202
C2×#168103612
C2×#168103582
C53×#29732
#1762253