Finite Group Databasebeta

← #29833822

Subgroups — #29833822

Order 15616.

1192 conjugacy classes of subgroups.

The subgroup lattice has 706 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#135×D61C211yesmaximal, characteristic, complemented
2C2×#16840199C211yesmaximal, characteristic, complemented
3C2×#16840196C211yesmaximal, characteristic, complemented
4#466×D61C211yesmaximal, characteristic, complemented
5#21447744C211yesmaximal, characteristic, complemented
6#21447742C211yesmaximal, characteristic, complemented
7#21447740C211yesmaximal, characteristic, complemented
8#21447737C211yesmaximal, characteristic, complemented
9#21447734C211yesmaximal, characteristic, complemented
10#21447732C211yesmaximal, characteristic, complemented
11#21447729C211yesmaximal, characteristic, complemented
12#21447530C211yesmaximal, characteristic, complemented
13#21447528C211yesmaximal, characteristic, complemented
14#21447428C211yesmaximal, characteristic, complemented
15C61×#2186C211yesmaximal, characteristic, complemented
16C2×#41×D61—21no—
17C2×#14519800C2211yescharacteristic
18C2×#14519799C2211yescharacteristic, complemented
19C2×#14519798—21no—
20C2×#14519797—21no—
21C2×#14519796C2211yescharacteristic
22#135×D61—24no—
23#135×D61—24no—
24C2×Q16×D61C2211yescharacteristic, complemented
25C2×SD16×D61—21no—
26C2×D8×D61C2211yescharacteristic, complemented
27C2×D8×D61C2211yescharacteristic, complemented
28C22×C8×D61C2211yescharacteristic
29#121×D61—21no—
30#16840199—24no—
31#16840196—24no—
32C2×#14519722C2211yescharacteristic, complemented
33C2×#14519721C2211yescharacteristic, complemented
34C2×#14519720C2211yescharacteristic, complemented
35C2×D976C2211yescharacteristic, complemented
36C2×#14519718C2211yescharacteristic, complemented
37C2×#14519718C2211yescharacteristic, complemented
38C2×#14519716C2211yescharacteristic, complemented
39C2×#14519716C2211yescharacteristic, complemented
40#16839999C2211yescharacteristic
41#16839998C2211yescharacteristic, complemented
42#16839997—21no—
43#16839996—21no—
44#16839995C2211yescharacteristic
45#107×D61C2211yescharacteristic, complemented
46#102×D61—21no—
47#16839567C2211yescharacteristic, complemented
48#16839566C2211yescharacteristic, complemented
49#16839565C2211yescharacteristic, complemented
50#16839564C2211yescharacteristic, complemented
51#16839563C2211yescharacteristic, complemented
52#16839562C2211yescharacteristic, complemented
53C22⋊#11758185C2211yescharacteristic, complemented
54#16839541C2211yescharacteristic, complemented
55#16839541C2211yescharacteristic, complemented
56C2×#135×C61C2211yescharacteristic, complemented
57C2×SD32×C61C2211yescharacteristic, complemented
58C2×D16×C61C2211yescharacteristic, complemented
59C61×#466C2211yescharacteristic, complemented
60C61×#358C2211yescharacteristic, complemented
61C61×#357C2211yescharacteristic, complemented
62C61×C22⋊C16C2211yescharacteristic, complemented
63C2×#11758226—21no—
64C2×#11758222—21no—
65C2×#11758222—41no—
66C2×#11758224—21no—
67C2×#11758224—41no—
68#41×D61—28no—
69#41×D61—44no—
70C2×Q8×D61—21no—
71C2×D4×D61—21no—
72C2×D4×D61—21no—
73C2×D4×D61—41no—
74C2×D4×D61—41no—
75C22×C4×D61—41no—
76C22×C4×D61D411yescharacteristic
77#14519800—22no—
78#14519800D414yescomplemented
79#14519799—22no—
80#14519799—22no—
81#14519798—28no—
82#14519797—28no—
83#14519796—22no—
84#14519796D414yescomplemented
85C2×Dic244C2311yescharacteristic
86C2×#11758202—21no—
87Q16×D61—22no—
88Q16×D61—22no—
89C2×#11758190—21no—
90C2×#11758200—21no—
91C2×#11758201—21no—
92SD16×D61—28no—
93C2×D488C2311yescharacteristic
94C2×D488C2311yescharacteristic
95C2×#11758199—21no—
96C2×#11758199—21no—
97D8×D61—22no—
98D8×D61—22no—
99D8×D61—22no—
100D8×D61—22no—
101C22×#92418D411yescharacteristic
102C2×C8×D61—22no—
103C2×C8×D61—22no—
104C2×C8×D61D411yescharacteristic
105C2×C8×D61D411yescharacteristic
106C2×C8×D61C2311yescharacteristic
107C2×C8×D61C2311yescharacteristic
108#14519752—21no—
109#14519751—21no—
110#14519750—41no—
111#14519749—41no—
112#14519748—21no—
113C4⋊C4×D61—21no—
114C22⋊C4×D61—41no—
115#14519722—22no—
116#14519721—22no—
117#14519720—22no—
118D976—22no—
119#14519718—22no—
120#14519718—22no—
121#14519716—22no—
122#14519716—22no—
123C2×#11758185C2311yescharacteristic
124C2×#11758185C2311yescharacteristic
125#14519711C2311yescharacteristic
126#14519710—21no—
127#14519699—21no—
128#14519698—21no—
129#14519697—21no—
130C2×#41×C61—21no—
131#135×C61—22no—
132#135×C61—22no—
133C2×Q16×C61C2311yescharacteristic
134C2×SD16×C61—21no—
135C2×D8×C61C2311yescharacteristic
136C2×D8×C61C2311yescharacteristic
137C22×C8×C61C2311yescharacteristic
138#121×C61—21no—
139SD32×C61—22no—
140D16×C61—22no—
141C2×C16×C61C2311yescharacteristic
142C2×C16×C61C2311yescharacteristic
143#107×C61C2311yescharacteristic
144#102×C61—21no—
145C23×D61—41no—
146C23×D61—41no—
147C23×D61D811yescharacteristic
148#41×C61—24no—
149#41×C61—42no—
150C2×Q8×C61—21no—
151C2×D4×C61—21no—
152C2×D4×C61—21no—
153C2×D4×C61—41no—
154C2×D4×C61—41no—
155C22×C4×C61—41no—
156C22×C4×C61C2×D411yescharacteristic
157C2×C22⋊D61—41no—
158C2×C22⋊D61—41no—
159C2×C22⋊D61—41no—
160C2×C22⋊D61—41no—
161C2×C22⋊D61—41no—
162C2×C22⋊D61—41no—
163C22×Dic61—41no—
164C22×Dic61D811yescharacteristic
165#11758226—24no—
166#11758226—42no—
167Q8×D61—24no—
168Q8×D61—42no—
169#11758224—24no—
170#11758224—48no—
171#11758224—42no—
172D4×D61—24no—
173D4×D61—42no—
174D4×D61—48no—
175D4×D61—42no—
176D4×D61—42no—
177D4×D61—84no—
178#11758222—24no—
179#11758222—48no—
180#11758222—42no—
181C2×D244—21no—
182C2×D244—21no—
183C2×D244—41no—
184C2×D244—41no—
185C2×C4×D61—22no—
186C2×C4×D61—22no—
187C2×C4×D61—48no—
188C2×C4×D61—41no—
189C2×C4×D61—41no—
190C2×C4×D61—41no—
191C2×C4×D61—41no—
192C2×C4×D61D811yescharacteristic
193C2×C4×D61D811yescharacteristic
194C2×C4×D61C2×D411yescharacteristic
195C2×C4×D61C2×D411yescharacteristic
196C2×Dic122—21no—
197C2×Dic122—41no—
198Q16×C61—21no—
199Q16×C61C2×D412yescomplemented
200SD16×C61—24no—
201D8×C61—21no—
202D8×C61—21no—
203D8×C61—21no—
204D8×C61C2×D412yescomplemented
205C2×C8×C61—21no—
206C2×C8×C61—21no—
207C2×C8×C61C2×D411yescharacteristic
208C2×C8×C61C2411yescharacteristic
209C4⋊C4×C61—21no—
210C22⋊C4×C61—41no—
211C22⋊Dic61—41no—
212#11758202—24no—
213#11758201—24no—
214#11758200—24no—
215#11758199—24no—
216#11758199—42no—
217#11758198—41no—
218#11758198—41no—
219C4⋊Dic61—21no—
220#11758196—41no—
221C2×#92418—22no—
222C2×#92418C2×D411yescharacteristic
223C2×#92418C2×D411yescharacteristic
224Dic244—21no—
225Dic244C2×D412yescomplemented
226D488—21no—
227D488—21no—
228D488—21no—
229D488C2×D412yescomplemented
230#11758190—24no—
231C8×D61—22no—
232C8×D61—21no—
233C8×D61—21no—
234C8×D61—22no—
235C8×D61C2×D412yes—
236C8×D61C2×D412yes—
237C16×C61—21no—
238C16×C61—21no—
239#11758185—21no—
240#11758185—21no—
241C23×C61—41no—
242C23×C61—41no—
243C23×C61C2×D811yescharacteristic
244C22×D61—22no—
245C22×D61—22no—
246C22×D61—41no—
247C22×D61—44no—
248C22×D61—41no—
249C22×D61—41no—
250C22×D61—82no—
251C22×D61—82no—
252C22×D61—82no—
253C22×D61—82no—
254C22×D61—82no—
255C22×D61C2×D811yescharacteristic
256C22×D61C2×D811yescharacteristic
257Q8×C61—22no—
258Q8×C61—41no—
259D4×C61—22no—
260D4×C61—44no—
261D4×C61—41no—
262D4×C61—41no—
263D4×C61—41no—
264D4×C61—82no—
265C2×C4×C61—21no—
266C2×C4×C61—21no—
267C2×C4×C61—44no—
268C2×C4×C61—41no—
269C2×C4×C61—41no—
270C2×C4×C61C2×D811yescharacteristic
271C2×C4×C61C22×D411yescharacteristic
272C22⋊D61—44no—
273C22⋊D61—44no—
274C22⋊D61—44no—
275C22⋊D61—82no—
276C22⋊D61—82no—
277C22⋊D61—82no—
278C2×Dic61—22no—
279C2×Dic61—41no—
280C2×Dic61—44no—
281C2×Dic61—41no—
282C2×Dic61C2×D811yescharacteristic
283C2×Dic61C2×D811yescharacteristic
284D244—22no—
285D244—44no—
286D244—41no—
287D244—41no—
288D244—41no—
289D244—82no—
290C4×D61—22no—
291C4×D61—21no—
292C4×D61—21no—
293C4×D61—22no—
294C4×D61—44no—
295C4×D61—44no—
296C4×D61—44no—
297C4×D61—82no—
298C4×D61#12012yes—
299C4×D61AGL(1,ℤ/8)12yes—
300Dic122—22no—
301Dic122—44no—
302Dic122—41no—
303C8×C61—21no—
304C8×C61C22×D411yescharacteristic
305C8×C61C22×D411yescharacteristic
306#92418—21no—
307#92418#12012yes—
308#33520—611nomaximal, Sylow
309C22×C61—21no—
310C22×C61—21no—
311C22×C61—21no—
312C22×C61—42no—
313C22×C61—81no—
314C22×C61—81no—
315C22×C61—81no—
316C22×C61—81no—
317C22×C61—81no—
318C22×C61C22×D811yescharacteristic
319C2×D61—21no—
320C2×D61—21no—
321C2×D61—21no—
322C2×D61—21no—
323C2×D61—44no—
324C2×D61—42no—
325C2×D61—88no—
326C2×D61—81no—
327C2×D61—81no—
328C2×D61—81no—
329C2×D61—81no—
330C2×D61—81no—
331C2×D61—164no—
332C2×D61#44712yes—
333C2×D61#50912yescomplemented
334C4×C61—21no—
335C4×C61—42no—
336C4×C61—81no—
337C4×C61C2×#12011yescharacteristic
338C4×C61C2×AGL(1,ℤ/8)11yescharacteristic
339Dic61—21no—
340Dic61—42no—
341Dic61—81no—
342Dic61#44712yes—
343C22×#135—611no—
344C2×#509—611no—
345C2×#509—611no—
346C2×#466—611no—
347#2186—611no—
348#2186—611no—
349#2186—611no—
350#2186D6111yescharacteristic, complemented
351#2185—611no—
352#2185—611no—
353#2184—611no—
354#2184—611no—
355#2139—611no—
356#2139—611no—
357#2112—611no—
358C2×C61—41no—
359C2×C61—82no—
360C2×C61—161no—
361C2×C61C2×#44711yescharacteristic
362C2×C61C2×#50911yescharacteristic
363C2×C61#341411yescharacteristic
364D61—22no—
365D61—22no—
366D61—82no—
367D61—161no—
368C22×#41—1221no—
369C2×#135—611no—
370C2×#135—611no—
371C2×#135—611no—
372C2×#135—1221no—
373C2×#135—1221no—
374C2×#135—1224no—
375C2×#135—1224no—
376C2×#135C2×D6111yescharacteristic, complemented
377C22×Q16—611no—
378C22×SD16—1221no—
379C22×D8—611no—
380C22×D8—611no—
381C23×C8—611no—
382C2×#121—1221no—
383#509—1224no—
384#509—1224no—
385C2×SD32—611no—
386C2×SD32—611no—
387C2×SD32—611no—
388C2×SD32C2×D6111yescharacteristic, complemented
389C2×D16—611no—
390C2×D16—611no—
391C2×D16—611no—
392C2×D16C2×D6111yescharacteristic, complemented
393C2×M32—611no—
394C2×M32—611no—
395#466—611no—
396#466—611no—
397#466—611no—
398#466—1221no—
399#466—1221no—
400#466C2×D6111yescharacteristic, complemented
401C2×#107—611no—
402C2×#102—1221no—
403#358—611no—
404#358—611no—
405#358—611no—
406#358C2×D6111yescharacteristic, complemented
407#357—611no—
408#357—611no—
409#357—611no—
410#357C2×D6111yescharacteristic, complemented
411C22⋊C16—611no—
412C22⋊C16—611no—
413C22⋊C16—611no—
414C22⋊C16C2×D6111yescharacteristic, complemented
415C61#3352011yescharacteristic, complemented, Sylow
416C2×#41—21no—
417C2×#41—1221no—
418C2×#41—1221no—
419C2×#41—1228no—
420C2×#41—1221no—
421C2×#41—2441no—
422C2×#41—2441no—
423C2×#41—2444no—
424C22×Q8—1221no—
425C22×D4—1221no—
426C22×D4—1221no—
427C22×D4—2441no—
428C22×D4—2441no—
429C23×C4—611no—
430C23×C4—2441no—
431#135—22no—
432#135—22no—
433#135—614no—
434#135—614no—
435#135—1222no—
436#135—1222no—
437#135—1222no—
438#135—1222no—
439#135—1228no—
440#135—1228no—
441C2×Q16—611no—
442C2×Q16—1221no—
443C2×Q16—1222no—
444C2×Q16—1222no—
445C2×Q16C22×D6111yescharacteristic
446C2×SD16—21no—
447C2×SD16—1221no—
448C2×SD16—1221no—
449C2×SD16—1228no—
450C2×SD16—1221no—
451C2×D8—611no—
452C2×D8—611no—
453C2×D8—1222no—
454C2×D8—1222no—
455C2×D8—1221no—
456C2×D8—1221no—
457C2×D8—1222no—
458C2×D8—1222no—
459C2×D8C22×D6111yescharacteristic
460C2×D8C22×D6111yescharacteristic
461C22×C8—611no—
462C22×C8—611no—
463C22×C8—611no—
464C22×C8—611no—
465C22×C8—611no—
466C22×C8—1222no—
467C22×C8—1222no—
468C22×C8C22×D6111yescharacteristic
469#121—21no—
470#121—1221no—
471#121—1221no—
472#121—1221no—
473#121—2441no—
474#121—2441no—
475C2×C4⋊C4—1221no—
476C2×C22⋊C4—2441no—
477SD32—22no—
478SD32—1222no—
479SD32—1222no—
480SD32—1222no—
481D16—22no—
482D16—1222no—
483D16—1222no—
484D16—1222no—
485M32—1222no—
486M32—1222no—
487C2×C16—611no—
488C2×C16—611no—
489C2×C16C22×D6111yescharacteristic
490C2×C16C22×D6111yescharacteristic
491#107—611no—
492#107—1221no—
493#107C22×D6111yescharacteristic
494#102—21no—
495#102—1221no—
496#102—1221no—
497#102—1221no—
498C24—611no—
499C24—2441no—
500C24—2441no—
501#41—24no—
502#41—42no—
503#41—1224no—
504#41—1224no—
505#41—1224no—
506#41—2442no—
507#41—2448no—
508#41—2442no—
509#41—2442no—
510#41—2448no—
511C2×Q8—21no—
512C2×Q8—1224no—
513C2×Q8—1221no—
514C2×Q8—2441no—
515C2×Q8—2442no—
516C2×D4—21no—
517C2×D4—21no—
518C2×D4—41no—
519C2×D4—41no—
520C2×D4—1224no—
521C2×D4—1221no—
522C2×D4—1221no—
523C2×D4—4884no—
524C2×D4—2441no—
525C2×D4—2441no—
526C2×D4—2442no—
527C2×D4—2442no—
528C2×D4—2441no—
529C2×D4—2441no—
530C2×D4—2442no—
531C2×D4—2448no—
532C2×D4—2441no—
533C2×D4—2441no—
534C2×D4—2441no—
535C2×D4—2441no—
536C22×C4—41no—
537C22×C4—611no—
538C22×C4—611no—
539C22×C4—611no—
540C22×C4—611no—
541C22×C4—611no—
542C22×C4—1222no—
543C22×C4—1222no—
544C22×C4—2441no—
545C22×C4—2448no—
546C22×C4—2441no—
547C22×C4—2441no—
548C22×C4—2441no—
549C22×C4—2441no—
550C22×C4D4×D6111yescharacteristic
551Q16—21no—
552Q16—612no—
553Q16—1224no—
554Q16—1221no—
555Q16D4×D6112yescomplemented
556SD16—24no—
557SD16—1224no—
558SD16—1224no—
559SD16—1224no—
560D8—21no—
561D8—21no—
562D8—21no—
563D8—612no—
564D8—1224no—
565D8—1221no—
566D8—1221no—
567D8—1221no—
568D8—2442no—
569D8D4×D6112yescomplemented
570C2×C8—21no—
571C2×C8—21no—
572C2×C8—611no—
573C2×C8—612no—
574C2×C8—612no—
575C2×C8—611no—
576C2×C8—1222no—
577C2×C8—1222no—
578C2×C8—1222no—
579C2×C8—1221no—
580C2×C8—1221no—
581C2×C8D4×D6111yescharacteristic
582C2×C8C23×D6111yescharacteristic
583C4⋊C4—21no—
584C4⋊C4—1221no—
585C4⋊C4—2441no—
586C22⋊C4—41no—
587C22⋊C4—2441no—
588C22⋊C4—2441no—
589C22⋊C4—2441no—
590C16—21no—
591C16—21no—
592C16—1221no—
593C16—1221no—
594C23—41no—
595C23—41no—
596C23—611no—
597C23—611no—
598C23—1222no—
599C23—1222no—
600C23—4882no—
601C23—4882no—
602C23—4882no—
603C23—4882no—
604C23—4882no—
605C23—2441no—
606C23—2444no—
607C23—2441no—
608C23—2441no—
609C23D8×D6111yescharacteristic
610Q8—22no—
611Q8—41no—
612Q8—1222no—
613Q8—2444no—
614Q8—2441no—
615D4—22no—
616D4—44no—
617D4—41no—
618D4—41no—
619D4—41no—
620D4—82no—
621D4—1222no—
622D4—4882no—
623D4—4882no—
624D4—4882no—
625D4—4882no—
626D4—2444no—
627D4—2444no—
628D4—2444no—
629D4—2444no—
630D4—2441no—
631D4—2441no—
632D4—2441no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—44no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—611no—
639C2×C4—612no—
640C2×C4—612no—
641C2×C4—611no—
642C2×C4—1222no—
643C2×C4—1222no—
644C2×C4—1222no—
645C2×C4—1221no—
646C2×C4—1221no—
647C2×C4—4882no—
648C2×C4—2444no—
649C2×C4—2444no—
650C2×C4—2444no—
651C2×C4—2444no—
652C2×C4—2441no—
653C2×C4—2441no—
654C2×C4D8×D6111yescharacteristic
655C2×C4C2×D4×D6111yescharacteristic
656C8—21no—
657C8—612no—
658C8—1221no—
659C8C2×D4×D6111yescharacteristic
660C8C2×D4×D6111yescharacteristic
661C22—21no—
662C22—21no—
663C22—21no—
664C22—42no—
665C22—81no—
666C22—81no—
667C22—81no—
668C22—81no—
669C22—81no—
670C22—612no—
671C22—612no—
672C22—1221no—
673C22—1221no—
674C22—1221no—
675C22—1221no—
676C22—9764no—
677C22—4888no—
678C22—4881no—
679C22—4881no—
680C22—4881no—
681C22—4881no—
682C22—4881no—
683C22—2444no—
684C22—2442no—
685C22C2×D8×D6111yescharacteristic
686C4—21no—
687C4—42no—
688C4—81no—
689C4—612no—
690C4—1221no—
691C4—4881no—
692C4—2442no—
693C4#120×D6111yescharacteristic
694C4AGL(1,ℤ/8)×D6111yescharacteristic
695C2—41no—
696C2—82no—
697C2—161no—
698C2—1222no—
699C2—1222no—
700C2—9761no—
701C2—4882no—
702C2#447×D6111yescharacteristic
703C2#509×D6111yescharacteristic
704C2#2145895211yescharacteristic
subgroupG/H
centerC22C2×D8×D61
commutator, cosocleC2×C8×C61C24
FrattiniC2×C8C23×D61
FittingC61×#2186C2
socleC22×C61C22×D8
hypercenter#2186D61
hypocenterC61#33520
LCSG ▷ C2×C8×C61 ▷ C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C22×C4 ◁ C22×C8 ◁ #2186

Complements

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

NH ≅ G/Ntype
1. C2×#135×D61C2semidirect
2. C2×#16840199C2semidirect
3. C2×#16840196C2semidirect
4. #466×D61C2semidirect
5. #21447744C2semidirect
6. #21447742C2semidirect
7. #21447740C2semidirect
8. #21447737C2semidirect
9. #21447734C2semidirect
10. #21447732C2semidirect
11. #21447729C2semidirect
12. #21447530C2semidirect
13. #21447528C2semidirect
14. #21447428C2semidirect
15. C61×#2186C2semidirect
18. C2×#14519799C22semidirect
24. C2×Q16×D61C22semidirect
26. C2×D8×D61C22semidirect
27. C2×D8×D61C22semidirect
32. C2×#14519722C22semidirect
33. C2×#14519721C22semidirect
34. C2×#14519720C22semidirect
35. C2×D976C22semidirect
36. C2×#14519718C22semidirect
37. C2×#14519718C22semidirect
38. C2×#14519716C22semidirect
39. C2×#14519716C22semidirect
41. #16839998C22semidirect
45. #107×D61C22semidirect
47. #16839567C22semidirect
48. #16839566C22semidirect
49. #16839565C22semidirect
50. #16839564C22semidirect
51. #16839563C22semidirect
52. #16839562C22semidirect
53. C22⋊#11758185C22semidirect
54. #16839541C22semidirect
55. #16839541C22semidirect
56. C2×#135×C61C22semidirect
57. C2×SD32×C61C22semidirect
58. C2×D16×C61C22semidirect
59. C61×#466C22semidirect
60. C61×#358C22semidirect
61. C61×#357C22semidirect
62. C61×C22⋊C16C22semidirect
78. #14519800D4semidirect
84. #14519796D4semidirect
199. Q16×C61C2×D4semidirect
204. D8×C61C2×D4semidirect
225. Dic244C2×D4semidirect
229. D488C2×D4semidirect
333. C2×D61#509semidirect
350. #2186D61semidirect
376. C2×#135C2×D61semidirect
388. C2×SD32C2×D61semidirect
392. C2×D16C2×D61semidirect
400. #466C2×D61semidirect
406. #358C2×D61semidirect
410. #357C2×D61semidirect
414. C22⋊C16C2×D61semidirect
415. C61#33520semidirect
555. Q16D4×D61semidirect
569. D8D4×D61semidirect

Maximal subgroups

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

subgroupindex
C2×#135×D612
C2×#168401992
C2×#168401962
#466×D612
#214477442
#214477422
#214477402
#214477372
#214477342
#214477322
#214477292
#214475302
#214475282
#214474282
C61×#21862
#3352061