Finite Group Databasebeta

← #28605982

Subgroups — #28605982

Order 15104.

1038 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×#16837403C211yesmaximal, characteristic
2#21426967C211yesmaximal, characteristic, complemented
3#21426926C211yesmaximal, characteristic
4#21424783C211yesmaximal, characteristic, complemented
5#21424769C211yesmaximal, characteristic, complemented
6#21424740C211yesmaximal, characteristic, complemented
7#21424733C211yesmaximal, characteristic, complemented
8#21424355C211yesmaximal, characteristic, complemented
9#21424341C211yesmaximal, characteristic, complemented
10#21424187C211yesmaximal, characteristic, complemented
11#21424127C211yesmaximal, characteristic, complemented
12#21423923C211yesmaximal, characteristic, complemented
13#102×Dic59C211yesmaximal, characteristic, complemented
14#21423882C211yesmaximal, characteristic, complemented
15C59×#1788C211yesmaximal, characteristic
16C22×#11745664C2211yescharacteristic
17C2×D4×Dic59C2211yescharacteristic
18C2×D4×Dic59C2211yescharacteristic
19C2×#14273683—21no—
20C22×C4⋊Dic59C2211yescharacteristic
21C2×#14273660C2211yescharacteristic
22C2×#14273658C2211yescharacteristic
23#16837403C418yescomplemented
24C2×#14273651C2211yescharacteristic
25C2×#14273651C2211yescharacteristic
26C2×#14273648C2211yescharacteristic
27C2×#14273648C2211yescharacteristic
28C2×#14273637C2211yescharacteristic
29C2×C8×Dic59C2211yescharacteristic
30#16837309C2211yescharacteristic
31#16837309C2211yescharacteristic
32#16837298C2211yescharacteristic
33#16837298C2211yescharacteristic
34#16837285—21no—
35#16837285—21no—
36#16837282—21no—
37#16837282—21no—
38#16837265—21no—
39#16837263—21no—
40#16837262C2211yescharacteristic
41C4⋊C4×Dic59C2211yescharacteristic
42C4⋊C4×Dic59C2211yescharacteristic
43C4×C22⋊Dic59C2211yescharacteristic
44C2×C59⋊#95—21no—
45#16837165C2211yescharacteristic
46#16837165C2211yescharacteristic
47#16837165C2211yescharacteristic
48#16837165C2211yescharacteristic
49#16837164C2211yescharacteristic
50#16837164C2211yescharacteristic
51#16837156C2211yescharacteristic
52#16837156C2211yescharacteristic
53C22×#41×C59C2211yescharacteristic
54C2×#103×C59C2211yescharacteristic
55C2×#103×C59C2211yescharacteristic
56C2×#102×C59C2211yescharacteristic
57C2×#102×C59C2211yescharacteristic
58C2×C22⋊C8×C59C2211yescharacteristic
59C59×#380C2211yescharacteristic
60C23×Dic59—21no—
61C23×Dic59—21no—
62C23×Dic59—21no—
63C2×#11745664—41no—
64C2×#11745664—41no—
65C2×#11745664C2×C414yescomplemented
66C22×C59⋊C8C2311yescharacteristic
67C22×C59⋊C8C2311yescharacteristic
68D4×Dic59—22no—
69D4×Dic59—22no—
70D4×Dic59—41no—
71D4×Dic59—41no—
72#14273683—44no—
73C2×C4⋊Dic59—21no—
74C2×C4⋊Dic59—22no—
75C2×C4⋊Dic59C2×C414yescomplemented
76C2×C4⋊Dic59C2311yescharacteristic
77C2×C4⋊Dic59C2311yescharacteristic
78C2×C4⋊Dic59C2311yescharacteristic
79C2×C4⋊Dic59C2311yescharacteristic
80C2×Dic59⋊C4—21no—
81C2×Dic59⋊C4—21no—
82C2×C22⋊Dic59—21no—
83C2×C22⋊Dic59—21no—
84C2×C22⋊Dic59—21no—
85C2×C22⋊Dic59D411yescharacteristic
86C2×C22⋊Dic59D411yescharacteristic
87C2×C4×Dic59—21no—
88C2×C4×Dic59—21no—
89C2×C4×Dic59C2311yescharacteristic
90C2×C4×Dic59C2311yescharacteristic
91#14273660—41no—
92#14273658—41no—
93#14273651C2×C414yescomplemented
94#14273651C2×C414yescomplemented
95#14273648C2×C414yes—
96#14273648C2×C414yes—
97#14273637—41no—
98C8×Dic59—41no—
99C59⋊#95—21no—
100C59⋊#95—21no—
101C59⋊#95—21no—
102C59⋊#95—21no—
103C59⋊#95—21no—
104C59⋊#95—21no—
105C59⋊#95—21no—
106C59⋊#95—21no—
107C59⋊#95—21no—
108C59⋊#95D411yescharacteristic
109C59⋊#95D411yescharacteristic
110C2×#41×C59—22no—
111C2×#41×C59—22no—
112C2×#41×C59—22no—
113C2×#41×C59—41no—
114C2×#41×C59—41no—
115C2×#41×C59C2×C414yes—
116C22×Q8×C59C2311yescharacteristic
117C22×D4×C59—21no—
118C22×D4×C59C2311yescharacteristic
119C23×C4×C59—21no—
120C23×C4×C59C2311yescharacteristic
121C22×C8×C59C2311yescharacteristic
122C22×C8×C59C2311yescharacteristic
123C2×C4⋊C4×C59C2311yescharacteristic
124C2×C4⋊C4×C59C2311yescharacteristic
125C2×C22⋊C4×C59—21no—
126#103×C59—41no—
127#103×C59—41no—
128#102×C59—22no—
129#102×C59—22no—
130C22⋊C8×C59—22no—
131#95×C59—21no—
132C24×C59—21no—
133C24×C59C2×D411yescharacteristic
134#41×C59—28no—
135#41×C59—44no—
136#41×C59—44no—
137#41×C59—44no—
138C2×Q8×C59—21no—
139C2×Q8×C59—21no—
140C2×Q8×C59—21no—
141C2×Q8×C59—21no—
142C2×Q8×C59—21no—
143C2×Q8×C59C22×C412yes—
144C2×D4×C59—24no—
145C2×D4×C59—21no—
146C2×D4×C59—21no—
147C2×D4×C59—21no—
148C2×D4×C59—42no—
149C2×D4×C59—42no—
150C2×D4×C59C22×C412yes—
151C2×D4×C59#4112yes—
152C2×D4×C59#4112yes—
153C22×C4×C59—21no—
154C22×C4×C59—21no—
155C22×C4×C59—21no—
156C22×C4×C59—21no—
157C22×C4×C59—21no—
158C22×C4×C59—24no—
159C22×C4×C59—21no—
160C22×C4×C59—21no—
161C22×C4×C59—42no—
162C22×C4×C59—42no—
163C22×C4×C59C22×C412yes—
164C22×C4×C59C2×D411yescharacteristic
165C22×C4×C59#4112yes—
166C22×C4×C59C2411yescharacteristic
167C22×Dic59—24no—
168C22×Dic59—21no—
169C22×Dic59—21no—
170C22×Dic59—21no—
171C22×Dic59—21no—
172C22×Dic59—42no—
173C22×Dic59—42no—
174C22×Dic59—42no—
175C22×Dic59—42no—
176C22×Dic59—42no—
177C22×Dic59—42no—
178C22×Dic59—81no—
179C22×Dic59—81no—
180C22×Dic59C2×D411yescharacteristic
181C22×Dic59C2×D411yescharacteristic
182C22×Dic59C2×D411yescharacteristic
183C22×Dic59C2×D411yescharacteristic
184C2×C8×C59—21no—
185C2×C8×C59—21no—
186C2×C8×C59—21no—
187C2×C8×C59—21no—
188C2×C8×C59—21no—
189C2×C8×C59—21no—
190C4⋊C4×C59—21no—
191C4⋊C4×C59—21no—
192C4⋊C4×C59—21no—
193C4⋊C4×C59—21no—
194C22⋊C4×C59—42no—
195C22⋊Dic59—22no—
196C22⋊Dic59—41no—
197C22⋊Dic59—42no—
198C22⋊Dic59—42no—
199C22⋊Dic59—81no—
200C4⋊Dic59—24no—
201C4⋊Dic59—21no—
202C4⋊Dic59—21no—
203C4⋊Dic59—21no—
204C4⋊Dic59—21no—
205C4⋊Dic59—21no—
206C4⋊Dic59—21no—
207C4⋊Dic59C22×C412yes—
208C4⋊Dic59C22×C412yes—
209Dic59⋊C4—42no—
210Dic59⋊C4—42no—
211C4×Dic59—21no—
212C4×Dic59—21no—
213C4×Dic59—21no—
214C4×Dic59—21no—
215C4×Dic59—42no—
216C4×Dic59—42no—
217#11745664—44no—
218C2×C59⋊C8—21no—
219C2×C59⋊C8—21no—
220C2×C59⋊C8—21no—
221C2×C59⋊C8—21no—
222C2×C59⋊C8C22×C412yes—
223C2×C59⋊C8C22×C412yes—
224C23×C59—22no—
225C23×C59—22no—
226C23×C59—22no—
227C23×C59—21no—
228C23×C59—21no—
229C23×C59—21no—
230C23×C59—21no—
231C23×C59—21no—
232C23×C59—21no—
233C23×C59—41no—
234C23×C59—41no—
235C23×C59—41no—
236C23×C59—41no—
237C23×C59C4×D412yes—
238C23×C59C22×D411yescharacteristic
239Q8×C59—22no—
240Q8×C59—22no—
241Q8×C59—41no—
242Q8×C59—41no—
243D4×C59—22no—
244D4×C59—22no—
245D4×C59—22no—
246D4×C59—48no—
247D4×C59#11714yescomplemented
248C2×C4×C59—21no—
249C2×C4×C59—21no—
250C2×C4×C59—22no—
251C2×C4×C59—22no—
252C2×C4×C59—22no—
253C2×C4×C59—22no—
254C2×C4×C59—22no—
255C2×C4×C59—48no—
256C2×C4×C59—41no—
257C2×C4×C59—41no—
258C2×C4×C59—41no—
259C2×C4×C59—41no—
260C2×C4×C59—41no—
261C2×C4×C59—41no—
262C2×C4×C59—41no—
263C2×C4×C59—41no—
264C2×C4×C59C4×D412yes—
265C2×C4×C59C23×C411yescharacteristic
266C2×C4×C59C2×#4111yescharacteristic
267C2×C4×C59C2×#4111yescharacteristic
268C2×C4×C59C2×#4111yescharacteristic
269C2×C4×C59H(5,𝔽2)11yescharacteristic
270C2×C4×C59H(5,𝔽2)11yescharacteristic
271C2×Dic59—21no—
272C2×Dic59—21no—
273C2×Dic59—22no—
274C2×Dic59—22no—
275C2×Dic59—21no—
276C2×Dic59—21no—
277C2×Dic59—21no—
278C2×Dic59—21no—
279C2×Dic59—21no—
280C2×Dic59—21no—
281C2×Dic59—21no—
282C2×Dic59—21no—
283C2×Dic59—21no—
284C2×Dic59—48no—
285C2×Dic59—41no—
286C2×Dic59—41no—
287C2×Dic59—41no—
288C2×Dic59—41no—
289C2×Dic59—41no—
290C2×Dic59—41no—
291C2×Dic59—41no—
292C2×Dic59—41no—
293C2×Dic59—41no—
294C2×Dic59—41no—
295C2×Dic59—84no—
296C2×Dic59—84no—
297C2×Dic59AGL(1,ℤ/8)12yes—
298C8×C59—41no—
299C8×C59—41no—
300C59⋊C8—22no—
301C59⋊C8—22no—
302#22582—591nomaximal, Sylow
303C22×C59—22no—
304C22×C59—24no—
305C22×C59—22no—
306C22×C59—22no—
307C22×C59—41no—
308C22×C59—42no—
309C22×C59—42no—
310C22×C59—42no—
311C22×C59—42no—
312C22×C59—41no—
313C22×C59—41no—
314C22×C59—42no—
315C22×C59—42no—
316C22×C59—41no—
317C22×C59C2×C4×D411yescharacteristic
318C22×C59#54611yescharacteristic
319C22×C59#54611yescharacteristic
320C22×C59C2×AGL(1,ℤ/8)11yescharacteristic
321C22×C59#57511yescharacteristic
322C22×C59#57711yescharacteristic
323C22×C59#57811yescharacteristic
324C4×C59—22no—
325C4×C59—42no—
326C4×C59—81no—
327C4×C59—81no—
328C4×C59C2×#11711yescharacteristic
329C4×C59#51811yescharacteristic
330C4×C59#55111yescharacteristic
331C4×C59#55111yescharacteristic
332Dic59—22no—
333Dic59—41no—
334Dic59—42no—
335Dic59—42no—
336Dic59—41no—
337Dic59—41no—
338Dic59—81no—
339Dic59—81no—
340C2×#417—591no—
341#2344—591no—
342#2339—591no—
343#1935—591no—
344#1933—591no—
345#1928—591no—
346#1927—591no—
347#1864—591no—
348#1862—591no—
349#1824—591no—
350#1809—591no—
351#1788D5911yescharacteristic
352#1762—591no—
353C4×#102—591no—
354#1753—591no—
355C2×C59—42no—
356C2×C59—44no—
357C2×C59#234211yescharacteristic
358C2×C59C4×AGL(1,ℤ/8)11yescharacteristic
359C2×C59#294711yescharacteristic
360C2×C59#330611yescharacteristic
361C2×C59#331511yescharacteristic
362C2×C59#332311yescharacteristic
363C2×C59#333011yescharacteristic
364C22×#41C2×D5911yescharacteristic
365C22×M16—591no—
366C2×C4×D4—591no—
367C2×C4×D4—591no—
368C2×#117—1181no—
369C22×C4⋊C4—591no—
370C2×#107—591no—
371C2×#106—591no—
372#417—598no—
373C2×#103—591no—
374C2×#103—591no—
375C2×#103C2×D5911yescharacteristic
376C2×#103C2×D5911yescharacteristic
377C2×#102—591no—
378C2×#102—591no—
379C2×#102C2×D5911yescharacteristic
380C2×#102C2×D5911yescharacteristic
381C2×C22⋊C8C2×D5911yescharacteristic
382C2×#97—591no—
383C2×C4×C8—591no—
384#391—591no—
385#391—591no—
386#389—591no—
387#389—591no—
388#387—1181no—
389#387—1181no—
390#386—1181no—
391#386—1181no—
392#381—1181no—
393#381—1181no—
394#380—591no—
395#380C2×D5911yescharacteristic
396C4×C4⋊C4—591no—
397C4×C4⋊C4—591no—
398C4×C22⋊C4—591no—
399C2×#95—1181no—
400#340—591no—
401#340—591no—
402#340—591no—
403#340—591no—
404#340—591no—
405#340—591no—
406#336—591no—
407#336—591no—
408C59#2258211yescharacteristic, complemented, Sylow
409C2×#41—22no—
410C2×#41—22no—
411C2×#41—22no—
412C2×#41—41no—
413C2×#41—41no—
414C2×#41C4×D5914yes—
415C22×Q8C22×D5911yescharacteristic
416C22×D4—21no—
417C22×D4C22×D5911yescharacteristic
418C23×C4—21no—
419C23×C4—1181no—
420C23×C4—1181no—
421C23×C4—1181no—
422C23×C4C22×D5911yescharacteristic
423C2×M16—594no—
424C2×M16—2361no—
425C2×M16—2361no—
426C22×C8—591no—
427C22×C8—591no—
428C22×C8C22×D5911yescharacteristic
429C22×C8C22×D5911yescharacteristic
430C4×D4—1182no—
431C4×D4—1182no—
432C4×D4—2361no—
433C4×D4—2361no—
434#117—2364no—
435C2×C4⋊C4—594no—
436C2×C4⋊C4—591no—
437C2×C4⋊C4—591no—
438C2×C4⋊C4—591no—
439C2×C4⋊C4—591no—
440C2×C4⋊C4—1181no—
441C2×C4⋊C4—1182no—
442C2×C4⋊C4—1181no—
443C2×C4⋊C4—1181no—
444C2×C4⋊C4C22×D5911yescharacteristic
445C2×C4⋊C4C22×D5911yescharacteristic
446C2×C22⋊C4—21no—
447C2×C22⋊C4—591no—
448C2×C22⋊C4—591no—
449C2×C22⋊C4—1181no—
450C2×C22⋊C4—1181no—
451C2×C22⋊C4—1181no—
452C2×C42—591no—
453C2×C42—591no—
454C2×C42—1181no—
455C2×C42—1181no—
456#107—2361no—
457#106—2361no—
458#103—41no—
459#103—41no—
460#103—594no—
461#103—594no—
462#102—22no—
463#102—22no—
464#102—594no—
465#102—594no—
466C22⋊C8—22no—
467#97—2361no—
468C4×C8—2361no—
469#95—21no—
470#95—591no—
471#95—591no—
472#95—1181no—
473#95—1181no—
474#95—1181no—
475#95—1181no—
476#95—1181no—
477#95—1181no—
478#95—1181no—
479#95—1181no—
480#95—1181no—
481C24—21no—
482C24D4×D5911yescharacteristic
483#41—28no—
484#41—44no—
485#41—44no—
486#41—44no—
487C2×Q8—21no—
488C2×Q8—21no—
489C2×Q8—21no—
490C2×Q8—21no—
491C2×Q8—21no—
492C2×Q8C2×C4×D5912yes—
493C2×D4—24no—
494C2×D4—21no—
495C2×D4—21no—
496C2×D4—21no—
497C2×D4—42no—
498C2×D4—42no—
499C2×D4C2×C4×D5912yes—
500C2×D4#1174568712yes—
501C2×D4#1174568712yes—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—21no—
506C22×C4—21no—
507C22×C4—24no—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—42no—
511C22×C4—42no—
512C22×C4—591no—
513C22×C4—591no—
514C22×C4—591no—
515C22×C4—591no—
516C22×C4—1184no—
517C22×C4—1181no—
518C22×C4—1181no—
519C22×C4—1181no—
520C22×C4—1181no—
521C22×C4—4721no—
522C22×C4—4721no—
523C22×C4—2362no—
524C22×C4—2362no—
525C22×C4—2362no—
526C22×C4—2362no—
527C22×C4—2362no—
528C22×C4—2362no—
529C22×C4C2×C4×D5912yes—
530C22×C4D4×D5911yescharacteristic
531C22×C4#1174568712yes—
532C22×C4C23×D5911yescharacteristic
533M16—2364no—
534C2×C8—21no—
535C2×C8—21no—
536C2×C8—21no—
537C2×C8—21no—
538C2×C8—21no—
539C2×C8—21no—
540C2×C8—592no—
541C2×C8—592no—
542C2×C8—1181no—
543C2×C8—1181no—
544C2×C8—1181no—
545C2×C8—1181no—
546C4⋊C4—21no—
547C4⋊C4—21no—
548C4⋊C4—21no—
549C4⋊C4—21no—
550C4⋊C4—592no—
551C4⋊C4—592no—
552C4⋊C4—1184no—
553C4⋊C4—1181no—
554C4⋊C4—1181no—
555C4⋊C4—1181no—
556C4⋊C4—1181no—
557C4⋊C4—1181no—
558C4⋊C4—1181no—
559C4⋊C4—2362no—
560C4⋊C4—2362no—
561C22⋊C4—42no—
562C22⋊C4—1182no—
563C22⋊C4—4721no—
564C22⋊C4—2361no—
565C22⋊C4—2362no—
566C22⋊C4—2362no—
567C42—1181no—
568C42—1181no—
569C42—1181no—
570C42—1181no—
571C42—2362no—
572C42—2362no—
573C23—21no—
574C23—21no—
575C23—21no—
576C23—21no—
577C23—22no—
578C23—22no—
579C23—21no—
580C23—21no—
581C23—22no—
582C23—41no—
583C23—41no—
584C23—41no—
585C23—41no—
586C23(C22⋊D59)⋊C412yes—
587C23C2×D4×D5911yescharacteristic
588Q8—22no—
589Q8—22no—
590Q8—41no—
591Q8—41no—
592D4—22no—
593D4—22no—
594D4—22no—
595D4—48no—
596D4#1427368314yescomplemented
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—22no—
600C2×C4—22no—
601C2×C4—22no—
602C2×C4—22no—
603C2×C4—22no—
604C2×C4—48no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—41no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—592no—
614C2×C4—1181no—
615C2×C4—1181no—
616C2×C4—1181no—
617C2×C4—1181no—
618C2×C4—1181no—
619C2×C4—1181no—
620C2×C4—1181no—
621C2×C4—1181no—
622C2×C4—1181no—
623C2×C4—1181no—
624C2×C4—1181no—
625C2×C4—1182no—
626C2×C4—1182no—
627C2×C4—4724no—
628C2×C4—4724no—
629C2×C4—2361no—
630C2×C4—2361no—
631C2×C4—2361no—
632C2×C4—2361no—
633C2×C4—2361no—
634C2×C4—2361no—
635C2×C4—2368no—
636C2×C4—2361no—
637C2×C4—2361no—
638C2×C4—2361no—
639C2×C4—2361no—
640C2×C4(C22⋊D59)⋊C412yes—
641C2×C4C22×C4×D5911yescharacteristic
642C2×C4C2×#1174568711yescharacteristic
643C2×C4C2×#1174568711yescharacteristic
644C2×C4C2×#1174568711yescharacteristic
645C2×C4#1427377211yescharacteristic
646C2×C4#1427377211yescharacteristic
647C8—41no—
648C8—41no—
649C8—1182no—
650C8—1182no—
651C22—22no—
652C22—24no—
653C22—22no—
654C22—22no—
655C22—41no—
656C22—42no—
657C22—42no—
658C22—42no—
659C22—42no—
660C22—41no—
661C22—42no—
662C22—41no—
663C22—41no—
664C22—42no—
665C22C2×(C22⋊D59)⋊C411yescharacteristic
666C22#1683803911yescharacteristic
667C22#1683803911yescharacteristic
668C22AGL(1,ℤ/8)×D5911yescharacteristic
669C22#1683820111yescharacteristic
670C22#1683820911yescharacteristic
671C22#1683821611yescharacteristic
672C4—22no—
673C4—42no—
674C4—81no—
675C4—81no—
676C4—1182no—
677C4—4721no—
678C4—4721no—
679C4—2361no—
680C4—2362no—
681C4—2362no—
682C4—2361no—
683C4—2361no—
684C4C2×#1427368311yescharacteristic
685C4#1683787511yescharacteristic
686C4#1683808311yescharacteristic
687C4#1683808311yescharacteristic
688C2—42no—
689C2—44no—
690C2#2142694711yescharacteristic
691C2#2143290911yescharacteristic
692C2#2143294211yescharacteristic
693C2#2143605011yescharacteristic
694C2#2143618511yescharacteristic
695C2#2143630511yescharacteristic
696C2#2143639411yescharacteristic
subgroupG/H
centerC23C2×D4×D59
commutatorC2×C4×C59C23×C4
FrattiniC22×C4C23×D59
FittingC59×#1788C2
socleC23×C59C22×D4
prime radicalC22×#41×C59C22
cosocleC22×C4×C59C24
hypercenter#1788D59
hypocenterC59#22582
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1788

Complements

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

NH ≅ G/Ntype
2. #21426967C2semidirect
4. #21424783C2semidirect
5. #21424769C2semidirect
6. #21424740C2semidirect
7. #21424733C2semidirect
8. #21424355C2semidirect
9. #21424341C2semidirect
10. #21424187C2semidirect
11. #21424127C2semidirect
12. #21423923C2semidirect
13. #102×Dic59C2semidirect
14. #21423882C2semidirect
23. #16837403C4semidirect
65. C2×#11745664C2×C4semidirect
75. C2×C4⋊Dic59C2×C4semidirect
93. #14273651C2×C4semidirect
94. #14273651C2×C4semidirect
247. D4×C59#117semidirect
408. C59#22582semidirect
596. D4#14273683semidirect

Maximal subgroups

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

subgroupindex
C2×#168374032
#214269672
#214269262
#214247832
#214247692
#214247402
#214247332
#214243552
#214243412
#214241872
#214241272
#214239232
#102×Dic592
#214238822
C59×#17882
#2258259