Finite Group Databasebeta

← #29647795

Subgroups — #29647795

Order 15616.

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#21459658C211yesmaximal, characteristic
2#21448729C211yesmaximal, characteristic, complemented
3#21444392C211yesmaximal, characteristic, complemented
4#21444388C211yesmaximal, characteristic, complemented
5#21444363C212yesmaximal, complemented
6#21444358C212yesmaximal, complemented
7#21444345C212yesmaximal, complemented
8#21444324C212yesmaximal, complemented
9C2×#16839500C211yesmaximal, characteristic, complemented
10C2×#16839497C211yesmaximal, characteristic, complemented
11C61×#2973C211yesmaximal, characteristic, complemented
12#16840461—22no—
13#16840458C412yescomplemented
14#16840452C412yescomplemented
15#16840441—22no—
16#16840421C412yescomplemented
17#16840408C412yescomplemented
18#16840359—21no—
19#16840350—21no—
20#16840321—21no—
21#16840296C2212yes—
22#16840273C2212yes—
23C2×#14519756C2211yescharacteristic
24C2×#14519751C2211yescharacteristic
25#16840235—21no—
26C2×D4×Dic61—21no—
27#16839661—21no—
28#16839637—21no—
29#16839637—21no—
30#16839628C2211yescharacteristic, complemented
31#16839622C2211yescharacteristic
32#16839622C2211yescharacteristic, complemented
33C4×C4⋊Dic61C2211yescharacteristic, complemented
34C2×#14519684C2211yescharacteristic
35C2×#14519684C2211yescharacteristic, complemented
36#16839500C2212yescomplemented
37#16839500C2212yescomplemented
38#16839500C2212yescomplemented
39#16839500C2212yescomplemented
40#16839497C2212yes—
41#16839497C2212yes—
42#16839497C2212yes—
43#16839497C2212yes—
44C2×C4×D4×C61C2211yescharacteristic
45C61×#435—22no—
46C61×#435—22no—
47C61×#432C2212yescomplemented
48C61×#407C2212yescomplemented
49C2×C22⋊C8×C61C2211yescharacteristic
50C2×C22⋊C8×C61C2211yescharacteristic
51C2×#11758222C2×C412yescomplemented
52C22×Dic122C2×C411yescharacteristic, complemented
53C22×D244C2×C411yescharacteristic, complemented
54C22×C22⋊D61—21no—
55C23×Dic61—21no—
56C23×Dic61—21no—
57#14519772—22no—
58#14519771—22no—
59#14519770—22no—
60#14519769C2×C412yescomplemented
61#14519767—22no—
62#14519765C2×C412yescomplemented
63#14519763—22no—
64#14519762—22no—
65#14519760—22no—
66#14519760—22no—
67#14519759—22no—
68#14519758—22no—
69#14519756—21no—
70#14519756—21no—
71#14519756C2×C412yescomplemented
72#14519756C2×C412yescomplemented
73#14519756C2312yes—
74#14519755—22no—
75#14519751—21no—
76#14519751—21no—
77#14519751C2×C412yescomplemented
78#14519751C2×C412yescomplemented
79#14519751C2312yes—
80#14519750—22no—
81#14519749—22no—
82#14519749—22no—
83#14519746—22no—
84#14519745—22no—
85C4×Dic122C2×C412yescomplemented
86C4×D244C2×C412yescomplemented
87D4×Dic61—44no—
88C4×C22⋊D61—22no—
89C4×C22⋊D61—22no—
90C4×C22⋊D61—22no—
91#14519737—22no—
92#14519737—22no—
93#14519736C2×C412yescomplemented
94#14519734—22no—
95#14519733—22no—
96C2×C4⋊Dic61—21no—
97C2×C4⋊Dic61—21no—
98C2×C4⋊Dic61—21no—
99C2×C4⋊Dic61—21no—
100C2×C4⋊Dic61C2×C411yescharacteristic, complemented
101C2×C4⋊Dic61C2×C411yescharacteristic, complemented
102C2×#11758196—21no—
103C2×C22⋊Dic61—21no—
104C2×C22⋊Dic61—21no—
105C2×C22⋊Dic61—21no—
106C2×#11758198—21no—
107C22⋊C4×D61—22no—
108C2×C4×Dic61—21no—
109#14519684—21no—
110#14519684—21no—
111#14519684—21no—
112#14519684C2311yescharacteristic
113#14519684C2311yescharacteristic
114#14519684C2311yescharacteristic
115#14519684C2311yescharacteristic
116C22×D4×C61D411yescharacteristic
117C23×C4×C61C2311yescharacteristic
118C23×C4×C61C2311yescharacteristic
119C2×M16×C61—22no—
120C22×C8×C61—21no—
121C22×C8×C61—21no—
122C4×D4×C61C2×C412yes—
123C4×D4×C61C2×C412yes—
124C4×D4×C61D412yes—
125C4×D4×C61D412yes—
126C2×C4⋊C4×C61D411yescharacteristic
127C2×C22⋊C4×C61D411yescharacteristic
128C2×C22⋊C4×C61D411yescharacteristic
129C2×C42×C61C2311yescharacteristic
130C4⋊C8×C61—22no—
131C22⋊C8×C61—21no—
132C22⋊C8×C61—21no—
133C22⋊C8×C61—22no—
134C22⋊C8×C61C2312yes—
135C22⋊C8×C61C2312yes—
136#97×C61—22no—
137C24×C61C2×D411yescharacteristic
138C24×C61C2×D411yescharacteristic
139C23×D61—21no—
140C2×D4×C61—22no—
141C2×D4×C61—22no—
142C2×D4×C61C22⋊C412yes—
143C2×D4×C61C22⋊C412yes—
144C22×C4×C61—81no—
145C22×C4×C61—81no—
146C22×C4×C61C22×C411yescharacteristic
147C22×C4×C61C22×C411yescharacteristic
148C22×C4×C61C22×C412yes—
149C22×C4×C61C2×D411yescharacteristic
150C22×C4×C61C2×D411yescharacteristic
151C22×C4×C61C2×D411yescharacteristic
152C22×C4×C61C2×D411yescharacteristic
153C22×C4×C61C2×D411yescharacteristic
154C22×C4×C61C2×D411yescharacteristic
155C22×C4×C61C2×D412yes—
156C22×C4×C61C2411yescharacteristic
157C2×C22⋊D61—22no—
158C2×C22⋊D61—22no—
159C2×C22⋊D61—22no—
160C2×C22⋊D61—22no—
161C2×C22⋊D61—42no—
162C2×C22⋊D61—42no—
163C22×Dic61—21no—
164C22×Dic61—21no—
165C22×Dic61—21no—
166C22×Dic61—21no—
167C22×Dic61—21no—
168C22×Dic61—21no—
169C22×Dic61—21no—
170C22×Dic61—42no—
171C22×Dic61—42no—
172C22×Dic61—42no—
173C22×Dic61—42no—
174C22×Dic61—81no—
175C22×Dic61—81no—
176#11758222—82no—
177C2×D244—21no—
178C2×D244—81no—
179C2×D244C22×C412yes—
180C2×C4×D61—22no—
181C2×C4×D61—22no—
182C2×Dic122—21no—
183C2×Dic122—81no—
184C2×Dic122C22×C412yes—
185M16×C61—82no—
186C2×C8×C61—22no—
187C2×C8×C61—22no—
188C2×C8×C61—81no—
189C2×C8×C61—81no—
190C4⋊C4×C61C22⋊C412yes—
191C4⋊C4×C61C22⋊C412yes—
192C22⋊C4×C61C22⋊C412yes—
193C22⋊C4×C61C22⋊C412yes—
194C22⋊C4×C61C22⋊C412yes—
195C22⋊C4×C61C22⋊C412yes—
196C42×C61C22×C412yes—
197C42×C61C2×D412yes—
198C22⋊Dic61—22no—
199C22⋊Dic61—22no—
200C22⋊Dic61—22no—
201C22⋊Dic61—22no—
202C22⋊Dic61—42no—
203C22⋊Dic61—42no—
204#11758198—22no—
205#11758198—22no—
206#11758198—22no—
207#11758198—22no—
208#11758198—22no—
209#11758198—22no—
210C4⋊Dic61—21no—
211C4⋊Dic61—21no—
212C4⋊Dic61—42no—
213C4⋊Dic61—42no—
214C4⋊Dic61—81no—
215C4⋊Dic61—81no—
216C4⋊Dic61C22×C412yes—
217C4⋊Dic61C22×C412yes—
218#11758196—22no—
219#11758196—22no—
220#11758196—22no—
221#11758196—22no—
222#11758196—22no—
223#11758196—22no—
224C4×Dic61—22no—
225C4×Dic61—22no—
226C4×Dic61—42no—
227C23×C61—21no—
228C23×C61—21no—
229C23×C61—41no—
230C23×C61—41no—
231C23×C61—41no—
232C23×C61—41no—
233C23×C61C2×C22⋊C412yes—
234C23×C61C2×C22⋊C411yescharacteristic
235C23×C61C2×C22⋊C411yescharacteristic
236C23×C61AGL(1,ℤ/8)12yes—
237C23×C61#13712yes—
238C23×C61C22×D411yescharacteristic
239C22×D61—22no—
240C22×D61—42no—
241C22×D61—81no—
242C22×D61—81no—
243D4×C61—24no—
244D4×C61—24no—
245C2×C4×C61—21no—
246C2×C4×C61—21no—
247C2×C4×C61—41no—
248C2×C4×C61—41no—
249C2×C4×C61—41no—
250C2×C4×C61—41no—
251C2×C4×C61—41no—
252C2×C4×C61—42no—
253C2×C4×C61—41no—
254C2×C4×C61—41no—
255C2×C4×C61—42no—
256C2×C4×C61—41no—
257C2×C4×C61C2×C22⋊C412yes—
258C2×C4×C61C2×C22⋊C412yes—
259C2×C4×C61C2×C22⋊C411yescharacteristic
260C2×C4×C61C2×C22⋊C412yes—
261C2×C4×C61C2×C22⋊C411yescharacteristic
262C2×C4×C61C23×C411yescharacteristic
263C2×C4×C61C22×D411yescharacteristic
264C22⋊D61—42no—
265C22⋊D61—42no—
266C22⋊D61—44no—
267C22⋊D61—82no—
268C22⋊D61—82no—
269C2×Dic61—22no—
270C2×Dic61—22no—
271C2×Dic61—22no—
272C2×Dic61—22no—
273C2×Dic61—41no—
274C2×Dic61—41no—
275C2×Dic61—42no—
276C2×Dic61—41no—
277C2×Dic61—41no—
278C2×Dic61—41no—
279C2×Dic61—41no—
280C2×Dic61—41no—
281C2×Dic61—41no—
282C2×Dic61—41no—
283C2×Dic61—41no—
284C2×Dic61—41no—
285C2×Dic61—81no—
286C2×Dic61—81no—
287C2×Dic61—84no—
288C2×Dic61—84no—
289D244—42no—
290D244—81no—
291C4×D61—82no—
292C4×D61—82no—
293Dic122—42no—
294Dic122—81no—
295C8×C61—42no—
296C8×C61—42no—
297#17622—611nomaximal, Sylow
298C22×C61—21no—
299C22×C61—21no—
300C22×C61—21no—
301C22×C61—21no—
302C22×C61—21no—
303C22×C61—21no—
304C22×C61—22no—
305C22×C61—22no—
306C22×C61—22no—
307C22×C61—42no—
308C22×C61—42no—
309C22×C61—42no—
310C22×C61—42no—
311C22×C61#41712yes—
312C22×C61#41712yes—
313C22×C61C22×C22⋊C411yescharacteristic
314C22×C61C2×AGL(1,ℤ/8)11yescharacteristic
315C22×C61C2×#13711yescharacteristic
316C2×D61—42no—
317C2×D61—42no—
318C2×D61—42no—
319C2×D61—162no—
320C4×C61—21no—
321C4×C61—21no—
322C4×C61—21no—
323C4×C61—22no—
324C4×C61—21no—
325C4×C61—22no—
326C4×C61—22no—
327Dic61—42no—
328Dic61—42no—
329Dic61—42no—
330Dic61—42no—
331Dic61—81no—
332Dic61—81no—
333Dic61—81no—
334#3505—611no—
335#2973D6111yescharacteristic, complemented
336#2349—611no—
337#1520—611no—
338#1519—611no—
339#1513—612no—
340#1512—612no—
341#1509—612no—
342#1504—612no—
343C2×#328—611no—
344C2×#327—611no—
345C2×C61—21no—
346C2×C61—22no—
347C2×C61—21no—
348C2×C61—22no—
349C2×C61—42no—
350C2×C61#288311yescharacteristic
351C2×C61C2×#41711yescharacteristic
352C2×C61#290111yescharacteristic
353D61—82no—
354#553—612no—
355#553—1222no—
356#552—612no—
357#551—1222no—
358#548—612no—
359#546—612no—
360#539—1221no—
361#538—1221no—
362#534—1221no—
363#529—612no—
364#525—612no—
365C2×C22⋊Q8—611no—
366C2×#121—611no—
367#518—1221no—
368C2×C4×D4—1221no—
369C2×C4×D4C2×D6111yescharacteristic
370#435—22no—
371#435—22no—
372#432C2×D6112yescomplemented
373#407C2×D6112yescomplemented
374C2×C22⋊C8C2×D6111yescharacteristic
375C2×C22⋊C8C2×D6111yescharacteristic
376#389—1221no—
377#385—1221no—
378#385—1221no—
379#382—611no—
380#380—611no—
381#380—611no—
382C4×C4⋊C4—611no—
383C2×#95—611no—
384C2×#95—611no—
385#328—612no—
386#328—612no—
387#328—612no—
388#328—612no—
389#327—612no—
390#327—612no—
391#327—612no—
392#327—612no—
393C61#1762211yescharacteristic, complemented, Sylow
394C2×#41—612no—
395C22×Q8—611no—
396C22×D4—611no—
397C22×D4—1221no—
398C22×D4D24411yescharacteristic
399C23×C4—1221no—
400C23×C4—1221no—
401C23×C4C22×D6111yescharacteristic
402C23×C4C22×D6111yescharacteristic
403C2×M16—22no—
404C22×C8—21no—
405C22×C8—21no—
406#126—1222no—
407#126—1222no—
408#126—1222no—
409#125—612no—
410#125—1222no—
411#124—612no—
412#124—1222no—
413#123—1222no—
414#123—1222no—
415#123—1222no—
416#123—1222no—
417#123—1222no—
418C22⋊Q8—612no—
419C22⋊Q8—612no—
420C22⋊Q8—612no—
421C22⋊Q8—1221no—
422C22⋊Q8—1221no—
423C22⋊Q8—1222no—
424#121—612no—
425#121—612no—
426#121—612no—
427#121—1222no—
428#121—1222no—
429#121—1221no—
430#121—1221no—
431#121—1222no—
432#120—1222no—
433#120—1222no—
434C4×Q8—612no—
435C4×D4—612no—
436C4×D4—1222no—
437C4×D4—1222no—
438C4×D4—1222no—
439C4×D4—1222no—
440C4×D4—1222no—
441C4×D4—2444no—
442C4×D4C4×D6112yes—
443C4×D4C4×D6112yes—
444C4×D4C22⋊D6112yes—
445C4×D4C22⋊D6112yes—
446#117—612no—
447#117—1222no—
448#117—1222no—
449C2×C4⋊C4—611no—
450C2×C4⋊C4—611no—
451C2×C4⋊C4—1221no—
452C2×C4⋊C4—1221no—
453C2×C4⋊C4—1221no—
454C2×C4⋊C4—1221no—
455C2×C4⋊C4—1221no—
456C2×C4⋊C4D24411yescharacteristic
457C2×C22⋊C4—1221no—
458C2×C22⋊C4—1221no—
459C2×C22⋊C4—1222no—
460C2×C22⋊C4—1221no—
461C2×C22⋊C4—1221no—
462C2×C22⋊C4D24411yescharacteristic
463C2×C22⋊C4D24411yescharacteristic
464C2×C42—1221no—
465C2×C42C22×D6111yescharacteristic
466C4⋊C8—22no—
467C22⋊C8—21no—
468C22⋊C8—21no—
469C22⋊C8—22no—
470C22⋊C8C22×D6112yes—
471C22⋊C8C22×D6112yes—
472#97—22no—
473#95—611no—
474#95—611no—
475#95—611no—
476#95—611no—
477#95—1221no—
478#95—1221no—
479#95—1221no—
480C24—1221no—
481C24C2×D24411yescharacteristic
482C24C2×D24411yescharacteristic
483#41—4882no—
484C2×Q8—612no—
485C2×Q8—1221no—
486C2×Q8—4881no—
487C2×D4—22no—
488C2×D4—22no—
489C2×D4—612no—
490C2×D4—1222no—
491C2×D4—1222no—
492C2×D4—1222no—
493C2×D4—1222no—
494C2×D4—1221no—
495C2×D4—4881no—
496C2×D4—2442no—
497C2×D4—2442no—
498C2×D4#1175819812yes—
499C2×D4#1175819812yes—
500C22×C4—81no—
501C22×C4—81no—
502C22×C4—1221no—
503C22×C4—1221no—
504C22×C4—1221no—
505C22×C4—1221no—
506C22×C4—1222no—
507C22×C4—1222no—
508C22×C4—1221no—
509C22×C4—1221no—
510C22×C4—1221no—
511C22×C4—4881no—
512C22×C4—4881no—
513C22×C4—2442no—
514C22×C4—2442no—
515C22×C4—2442no—
516C22×C4—2442no—
517C22×C4C2×C4×D6111yescharacteristic
518C22×C4C2×C4×D6111yescharacteristic
519C22×C4C2×C4×D6112yes—
520C22×C4C2×D24411yescharacteristic
521C22×C4C2×D24411yescharacteristic
522C22×C4C2×D24411yescharacteristic
523C22×C4C2×D24411yescharacteristic
524C22×C4C2×C22⋊D6111yescharacteristic
525C22×C4C2×C22⋊D6111yescharacteristic
526C22×C4C2×C22⋊D6112yes—
527C22×C4C23×D6111yescharacteristic
528M16—82no—
529C2×C8—22no—
530C2×C8—22no—
531C2×C8—81no—
532C2×C8—81no—
533C4⋊C4—612no—
534C4⋊C4—612no—
535C4⋊C4—1222no—
536C4⋊C4—1221no—
537C4⋊C4—1221no—
538C4⋊C4—1222no—
539C4⋊C4—1222no—
540C4⋊C4—1222no—
541C4⋊C4—1222no—
542C4⋊C4—1222no—
543C4⋊C4—4881no—
544C4⋊C4—4881no—
545C4⋊C4—2442no—
546C4⋊C4—2442no—
547C4⋊C4#1175819812yes—
548C4⋊C4#1175819812yes—
549C22⋊C4—1222no—
550C22⋊C4—1222no—
551C22⋊C4—1222no—
552C22⋊C4—1222no—
553C22⋊C4—1222no—
554C22⋊C4—1222no—
555C22⋊C4—1222no—
556C22⋊C4—1222no—
557C22⋊C4—1222no—
558C22⋊C4—1222no—
559C22⋊C4—2442no—
560C22⋊C4—2442no—
561C22⋊C4#1175819812yes—
562C22⋊C4#1175819812yes—
563C22⋊C4#1175819812yes—
564C22⋊C4#1175819812yes—
565C42—1222no—
566C42—1222no—
567C42—2442no—
568C42C2×C4×D6112yes—
569C42C2×C22⋊D6112yes—
570C23—21no—
571C23—21no—
572C23—41no—
573C23—41no—
574C23—41no—
575C23—41no—
576C23—1222no—
577C23—4881no—
578C23—4881no—
579C23—2442no—
580C23C2×#1175819812yes—
581C23C2×#1175819811yescharacteristic
582C23C2×#1175819811yescharacteristic
583C23#1451980512yes—
584C23#1451981012yes—
585C23C22×D24411yescharacteristic
586Q8—4881no—
587Q8—2442no—
588D4—24no—
589D4—24no—
590D4—4881no—
591D4—4882no—
592D4—4882no—
593D4—2442no—
594D4—2444no—
595D4—2442no—
596D4—2442no—
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—1222no—
610C2×C4—1222no—
611C2×C4—1222no—
612C2×C4—1222no—
613C2×C4—4882no—
614C2×C4—4882no—
615C2×C4—4884no—
616C2×C4—4884no—
617C2×C4—4881no—
618C2×C4—4881no—
619C2×C4—2441no—
620C2×C4—2441no—
621C2×C4—2441no—
622C2×C4—2441no—
623C2×C4—2441no—
624C2×C4—2441no—
625C2×C4—2441no—
626C2×C4—2441no—
627C2×C4—2441no—
628C2×C4—2441no—
629C2×C4—2442no—
630C2×C4—2441no—
631C2×C4C2×#1175819812yes—
632C2×C4C2×#1175819812yes—
633C2×C4C2×#1175819812yes—
634C2×C4C2×#1175819811yescharacteristic
635C2×C4C2×#1175819811yescharacteristic
636C2×C4C22×C4×D6111yescharacteristic
637C2×C4C22×C22⋊D6111yescharacteristic
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—9762no—
654C22—2442no—
655C22—2442no—
656C22—2442no—
657C22#1683976412yes—
658C22#1683976412yes—
659C22C22×#1175819811yescharacteristic
660C22C2×#1451980511yescharacteristic
661C22C2×#1451981011yescharacteristic
662C4—22no—
663C4—21no—
664C4—21no—
665C4—22no—
666C4—21no—
667C4—21no—
668C4—22no—
669C4—4881no—
670C4—4881no—
671C4—4881no—
672C4—2442no—
673C4—2442no—
674C4—2442no—
675C4—2442no—
676C2—21no—
677C2—21no—
678C2—22no—
679C2—22no—
680C2—42no—
681C2—4882no—
682C2#2145427911yescharacteristic
683C2C2×#1683976411yescharacteristic
684C2#2145436411yescharacteristic
subgroupG/H
centerC22C22×#11758198
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#2973C2
socleC22×C61C22×C22⋊C4
prime radical#21459658C2
cosocleC22×C4×C61C24
hypercenter#2973D61
hypocenterC61#17622
LCSG ▷ C2×C4×C61 ▷ C22×C61 ▷ C61
UCSC1 ◁ C22 ◁ C2×C4×D4 ◁ #2973

Complements

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

NH ≅ G/Ntype
2. #21448729C2semidirect
3. #21444392C2semidirect
4. #21444388C2semidirect
5. #21444363C2semidirect
6. #21444358C2semidirect
7. #21444345C2semidirect
8. #21444324C2semidirect
9. C2×#16839500C2semidirect
10. C2×#16839497C2semidirect
11. C61×#2973C2semidirect
13. #16840458C4semidirect
14. #16840452C4semidirect
16. #16840421C4semidirect
17. #16840408C4semidirect
30. #16839628C22semidirect
32. #16839622C22semidirect
33. C4×C4⋊Dic61C22semidirect
35. C2×#14519684C22semidirect
36. #16839500C22semidirect
37. #16839500C22semidirect
38. #16839500C22semidirect
39. #16839500C22semidirect
47. C61×#432C22semidirect
48. C61×#407C22semidirect
51. C2×#11758222C2×C4semidirect
52. C22×Dic122C2×C4semidirect
53. C22×D244C2×C4semidirect
60. #14519769C2×C4semidirect
62. #14519765C2×C4semidirect
71. #14519756C2×C4semidirect
72. #14519756C2×C4semidirect
77. #14519751C2×C4semidirect
78. #14519751C2×C4semidirect
85. C4×Dic122C2×C4semidirect
86. C4×D244C2×C4semidirect
93. #14519736C2×C4semidirect
100. C2×C4⋊Dic61C2×C4semidirect
101. C2×C4⋊Dic61C2×C4semidirect
335. #2973D61semidirect
372. #432C2×D61semidirect
373. #407C2×D61semidirect
393. C61#17622semidirect

Maximal subgroups

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

subgroupindex
#214596582
#214487292
#214443922
#214443882
#214443632
#214443582
#214443452
#214443242
C2×#168395002
C2×#168394972
C61×#29732
#1762261