Finite Group Databasebeta

← #29713854

Subgroups — #29713854

Order 15616.

1088 conjugacy classes of subgroups.

The subgroup lattice has 714 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840447C211yesmaximal, characteristic
2C2×#16840099C211yesmaximal, characteristic, complemented
3C2×#16839803C211yesmaximal, characteristic, complemented
4#21450123C211yesmaximal, characteristic
5#21447156C211yesmaximal, characteristic, complemented
6#21447155C211yesmaximal, characteristic, complemented
7#21447016C211yesmaximal, characteristic, complemented
8#21447015C211yesmaximal, characteristic, complemented
9#21446251C211yesmaximal, characteristic, complemented
10#21446113C211yesmaximal, characteristic
11#21446074C211yesmaximal, characteristic, complemented
12#21446070C211yesmaximal, characteristic, complemented
13#21446007C211yesmaximal, characteristic, complemented
14#21445913C211yesmaximal, characteristic, complemented
15C61×#1852C211yesmaximal, characteristic, complemented
16C22×#11758189C2211yescharacteristic
17#16840447—24no—
18#16840447—24no—
19C2×#14519772—21no—
20C2×#14519768C2211yescharacteristic
21C2×#14519767—21no—
22C2×#14519760—21no—
23C2×#14519759—21no—
24C2×#14519757C2211yescharacteristic
25C2×#14519756C2211yescharacteristic
26C2×#14519742C2211yescharacteristic
27C2×C4×C22⋊D61C2211yescharacteristic
28C2×#14519736—21no—
29C2×#14519735C2211yescharacteristic
30C2×C4⋊C4×D61C2211yescharacteristic
31#16840099—24no—
32#16839803—24no—
33C2×#14519710C2211yescharacteristic
34C2×#14519710C2211yescharacteristic
35C2×#14519709C2211yescharacteristic
36C2×#14519708C2211yescharacteristic
37C2×#14519702C2211yescharacteristic
38C2×#14519702C2211yescharacteristic
39C2×#14519700C2211yescharacteristic
40C2×#14519700C2211yescharacteristic
41C2×C22⋊#92418C2211yescharacteristic
42C2×#14519689C2211yescharacteristic
43#16839696—21no—
44#16839690—21no—
45#16839661C2211yescharacteristic
46#16839658C2211yescharacteristic
47#16839624—21no—
48#16839622C2211yescharacteristic
49#16839619C2211yescharacteristic
50#16839525C2211yescharacteristic
51#16839524C2211yescharacteristic
52#16839524C2211yescharacteristic
53#16839524C2211yescharacteristic
54#16839516C2211yescharacteristic
55#16839516C2211yescharacteristic
56C22×C4⋊C4×C61C2211yescharacteristic
57C2×#107×C61C2211yescharacteristic
58C2×#107×C61C2211yescharacteristic
59C2×C22⋊C8×C61C2211yescharacteristic
60C61×#380C2211yescharacteristic
61C61×#340C2211yescharacteristic
62C61×#340C2211yescharacteristic
63C22×Dic122C2311yescharacteristic
64C22×C22⋊D61D411yescharacteristic
65C22×C4×D61—21no—
66C22×C4×D61C2311yescharacteristic
67C2×#11758189—22no—
68C2×#11758189—22no—
69C2×#11758189—22no—
70C22×#92418C2311yescharacteristic
71C22×#92418C2311yescharacteristic
72#14519772—28no—
73#14519768—22no—
74#14519768—22no—
75#14519767—28no—
76#14519760—28no—
77#14519759—44no—
78#14519757—22no—
79#14519757D414yes—
80#14519756—22no—
81#14519756—22no—
82#14519742—22no—
83#14519742—22no—
84C4×C22⋊D61—22no—
85C4×C22⋊D61—22no—
86#14519736—28no—
87#14519735—22no—
88#14519735D414yes—
89C2×C4⋊Dic61—21no—
90C2×C4⋊Dic61—21no—
91C2×C4⋊Dic61—21no—
92C2×C4⋊Dic61C2311yescharacteristic
93C2×C4⋊Dic61C2311yescharacteristic
94C2×C4⋊Dic61C2311yescharacteristic
95C2×#11758196—21no—
96C2×#11758196—21no—
97C2×#11758196—21no—
98C2×#11758196—21no—
99C2×#11758196—21no—
100C2×#11758196D411yescharacteristic
101C4⋊C4×D61—22no—
102C4⋊C4×D61—22no—
103C2×C22⋊Dic61—21no—
104C2×C22⋊Dic61—21no—
105C2×C22⋊Dic61D411yescharacteristic
106C2×#11758198—21no—
107C2×#11758198—21no—
108C2×#11758198—21no—
109C2×#11758198D411yescharacteristic
110C2×C4×Dic61—21no—
111C2×C4×Dic61—21no—
112C2×C4×Dic61C2311yescharacteristic
113#14519710—22no—
114#14519710—22no—
115#14519709—22no—
116#14519708—22no—
117#14519702—22no—
118#14519702—22no—
119#14519700—22no—
120#14519700—22no—
121C22⋊#92418—22no—
122#14519689—22no—
123#14519684—21no—
124#14519684—21no—
125#14519684—21no—
126#14519684—21no—
127C23×C4×C61—21no—
128C23×C4×C61C2311yescharacteristic
129C22×C8×C61C2311yescharacteristic
130C22×C8×C61C2311yescharacteristic
131C2×C4⋊C4×C61—21no—
132C2×C4⋊C4×C61—22no—
133C2×C4⋊C4×C61—22no—
134C2×C4⋊C4×C61C2311yescharacteristic
135C2×C4⋊C4×C61C2311yescharacteristic
136C2×C4⋊C4×C61C2311yescharacteristic
137C2×C4⋊C4×C61C2311yescharacteristic
138C2×C22⋊C4×C61—21no—
139#107×C61—22no—
140#107×C61—22no—
141C22⋊C8×C61—22no—
142#95×C61—21no—
143C24×C61C2×D411yescharacteristic
144C23×D61C2×D411yescharacteristic
145C22×C4×C61—24no—
146C22×C4×C61—21no—
147C22×C4×C61—21no—
148C22×C4×C61—21no—
149C22×C4×C61—21no—
150C22×C4×C61—21no—
151C22×C4×C61—21no—
152C22×C4×C61—21no—
153C22×C4×C61—21no—
154C22×C4×C61—21no—
155C22×C4×C61—21no—
156C22×C4×C61—42no—
157C22×C4×C61—42no—
158C22×C4×C61C2×D411yescharacteristic
159C22×C4×C61C2411yescharacteristic
160C2×C22⋊D61—22no—
161C2×C22⋊D61—22no—
162C2×C22⋊D61—41no—
163C22×Dic61—21no—
164C22×Dic61—21no—
165C22×Dic61—21no—
166C22×Dic61—21no—
167C22×Dic61C2×D411yescharacteristic
168C22×Dic61C2×D411yescharacteristic
169C22×Dic61C2×D411yescharacteristic
170C2×C4×D61—21no—
171C2×C4×D61—21no—
172C2×C4×D61—21no—
173C2×C4×D61—21no—
174C2×C4×D61—42no—
175C2×C4×D61—42no—
176C2×C4×D61—42no—
177C2×C4×D61C2×D412yes—
178C2×C4×D61C2×D412yes—
179C2×Dic122—21no—
180C2×Dic122—21no—
181C2×Dic122—21no—
182C2×Dic122—21no—
183C2×Dic122—21no—
184C2×Dic122C2×D412yes—
185C2×C8×C61—21no—
186C2×C8×C61—21no—
187C2×C8×C61—21no—
188C2×C8×C61—21no—
189C2×C8×C61—21no—
190C2×C8×C61#4112yes—
191C4⋊C4×C61—24no—
192C4⋊C4×C61—21no—
193C4⋊C4×C61—21no—
194C4⋊C4×C61—21no—
195C4⋊C4×C61—21no—
196C4⋊C4×C61—21no—
197C4⋊C4×C61—21no—
198C4⋊C4×C61C2×D412yes—
199C4⋊C4×C61C2×D412yes—
200C22⋊C4×C61—42no—
201C22⋊Dic61—24no—
202C22⋊Dic61—22no—
203C22⋊Dic61—42no—
204#11758198—24no—
205#11758198—24no—
206#11758198—22no—
207#11758198—42no—
208C4⋊Dic61—24no—
209C4⋊Dic61—21no—
210C4⋊Dic61—24no—
211C4⋊Dic61—21no—
212C4⋊Dic61—21no—
213C4⋊Dic61—21no—
214C4⋊Dic61—21no—
215C4⋊Dic61—42no—
216C4⋊Dic61C2×D412yes—
217#11758196—24no—
218#11758196—24no—
219#11758196—24no—
220#11758196—22no—
221#11758196—42no—
222#11758196—42no—
223C4×Dic61—24no—
224C4×Dic61—21no—
225C4×Dic61—21no—
226C4×Dic61—24no—
227C2×#92418—21no—
228C2×#92418—21no—
229C2×#92418—21no—
230C2×#92418—21no—
231C2×#92418—21no—
232C2×#92418#4112yes—
233#11758189—28no—
234C23×C61—21no—
235C23×C61—21no—
236C23×C61—21no—
237C23×C61—21no—
238C23×C61—21no—
239C23×C61—21no—
240C23×C61AGL(1,ℤ/8)12yes—
241C23×C61C22×D411yescharacteristic
242C22×D61—21no—
243C22×D61—21no—
244C22×D61—21no—
245C22×D61—21no—
246C22×D61—21no—
247C22×D61—21no—
248C22×D61#12012yes—
249C2×C4×C61—22no—
250C2×C4×C61—21no—
251C2×C4×C61—22no—
252C2×C4×C61—21no—
253C2×C4×C61—21no—
254C2×C4×C61—48no—
255C2×C4×C61—41no—
256C2×C4×C61—41no—
257C2×C4×C61—41no—
258C2×C4×C61—41no—
259C2×C4×C61—41no—
260C2×C4×C61—41no—
261C2×C4×C61—41no—
262C2×C4×C61—41no—
263C2×C4×C61—41no—
264C2×C4×C61—41no—
265C2×C4×C61—41no—
266C2×C4×C61—41no—
267C2×C4×C61—41no—
268C2×C4×C61—41no—
269C2×C4×C61C22×D411yescharacteristic
270C2×C4×C61C22×D411yescharacteristic
271C2×C4×C61C2×#4111yescharacteristic
272C2×C4×C61C2×#4111yescharacteristic
273C2×C4×C612−1+411yescharacteristic
274C2×C4×C612−1+411yescharacteristic
275C22⋊D61—44no—
276C2×Dic61—21no—
277C2×Dic61—21no—
278C2×Dic61—21no—
279C2×Dic61—21no—
280C2×Dic61—22no—
281C2×Dic61—22no—
282C2×Dic61—21no—
283C2×Dic61—21no—
284C2×Dic61—21no—
285C2×Dic61—21no—
286C2×Dic61—41no—
287C2×Dic61—41no—
288C2×Dic61—41no—
289C2×Dic61—41no—
290C2×Dic61—41no—
291C2×Dic61—41no—
292C2×Dic61—41no—
293C2×Dic61—41no—
294C2×Dic61—41no—
295C2×Dic61—41no—
296C2×Dic61#12012yes—
297C4×D61—22no—
298C4×D61—22no—
299C4×D61—22no—
300C4×D61—22no—
301C4×D61—84no—
302Dic122—22no—
303Dic122—22no—
304Dic122—41no—
305Dic122—41no—
306C8×C61—22no—
307C8×C61—41no—
308#92418—22no—
309#92418—41no—
310#24110—611nomaximal, Sylow
311C22×C61—22no—
312C22×C61—22no—
313C22×C61—22no—
314C22×C61—41no—
315C22×C61—41no—
316C22×C61—41no—
317C22×C61—41no—
318C22×C61C2×#12011yescharacteristic
319C22×C61#54711yescharacteristic
320C22×C61#54711yescharacteristic
321C22×C61C2×AGL(1,ℤ/8)11yescharacteristic
322C22×C61#57511yescharacteristic
323C22×C61#57811yescharacteristic
324C22×C61#57811yescharacteristic
325C2×D61—22no—
326C2×D61—22no—
327C2×D61—22no—
328C2×D61—41no—
329C2×D61—41no—
330C2×D61—41no—
331C2×D61—41no—
332C4×C61—41no—
333C4×C61—42no—
334C4×C61—42no—
335C4×C61—81no—
336C4×C61—81no—
337C4×C61#52511yescharacteristic
338C4×C61#53611yescharacteristic
339C4×C61#54711yescharacteristic
340C4×C61#54711yescharacteristic
341Dic61—22no—
342Dic61—42no—
343Dic61—41no—
344Dic61—41no—
345Dic61—42no—
346Dic61—81no—
347Dic61—81no—
348C2×#552—611no—
349C2×#484—611no—
350C2×#428—611no—
351#2486—611no—
352#2059—611no—
353#2059—611no—
354#2035—611no—
355#2035—611no—
356#1894—611no—
357#1870—611no—
358#1863—611no—
359#1863—611no—
360#1852—611no—
361#1852D6111yescharacteristic, complemented
362#1825—611no—
363C2×C61—42no—
364C2×C61#240611yescharacteristic
365C2×C61#300611yescharacteristic
366C2×C61#301111yescharacteristic
367C2×C61#334311yescharacteristic
368C2×C61#334311yescharacteristic
369C2×C61#335211yescharacteristic
370C2×C61#335211yescharacteristic
371D61—42no—
372C22×M16—611no—
373#552—1224no—
374#552—1224no—
375C2×#126—1221no—
376C2×#125—611no—
377C2×#125—1221no—
378C2×#123—1221no—
379C2×#123—1221no—
380C2×C22⋊Q8—611no—
381C2×C22⋊Q8—611no—
382C2×C4×Q8—611no—
383C2×C4×D4—611no—
384C2×#117—611no—
385C2×#117—1221no—
386C22×C4⋊C4—611no—
387C22×C4⋊C4C2×D6111yescharacteristic
388#484—1224no—
389#428—1224no—
390C2×#107—611no—
391C2×#107—611no—
392C2×#107C2×D6111yescharacteristic
393C2×#107C2×D6111yescharacteristic
394C2×#106—611no—
395C2×#106—611no—
396C2×#103—611no—
397C2×#103—611no—
398C2×#103—611no—
399C2×#103—611no—
400C2×C22⋊C8—611no—
401C2×C22⋊C8—611no—
402C2×C22⋊C8C2×D6111yescharacteristic
403#398—1221no—
404#397—1221no—
405#389—611no—
406#389—611no—
407#381—1221no—
408#380—611no—
409#380—611no—
410#380C2×D6111yescharacteristic
411#340—611no—
412#340—611no—
413#340—611no—
414#340—611no—
415#340C2×D6111yescharacteristic
416#340C2×D6111yescharacteristic
417#336—611no—
418#336—611no—
419C61#2411011yescharacteristic, complemented, Sylow
420C22×Q8—611no—
421C22×D4—611no—
422C23×C4—21no—
423C23×C4—611no—
424C23×C4—1221no—
425C23×C4C22×D6111yescharacteristic
426C2×M16—1222no—
427C2×M16—1222no—
428C2×M16—1222no—
429C22×C8—611no—
430C22×C8—611no—
431C22×C8C22×D6111yescharacteristic
432C22×C8C22×D6111yescharacteristic
433#126—1228no—
434#125—1222no—
435#125—1228no—
436#125—1222no—
437#123—1228no—
438#123—2444no—
439C22⋊Q8—614no—
440C22⋊Q8—1222no—
441C22⋊Q8—1222no—
442C22⋊Q8—1222no—
443C4×Q8—1222no—
444C4×Q8—1222no—
445C4×D4—1222no—
446C4×D4—1222no—
447#117—614no—
448#117—1222no—
449#117—1228no—
450C2×C4⋊C4—21no—
451C2×C4⋊C4—22no—
452C2×C4⋊C4—22no—
453C2×C4⋊C4—611no—
454C2×C4⋊C4—611no—
455C2×C4⋊C4—611no—
456C2×C4⋊C4—611no—
457C2×C4⋊C4—1222no—
458C2×C4⋊C4—1222no—
459C2×C4⋊C4—1221no—
460C2×C4⋊C4—1221no—
461C2×C4⋊C4—1221no—
462C2×C4⋊C4—1221no—
463C2×C4⋊C4—1221no—
464C2×C4⋊C4—1221no—
465C2×C4⋊C4—1221no—
466C2×C4⋊C4—1221no—
467C2×C4⋊C4C22×D6111yescharacteristic
468C2×C4⋊C4C22×D6111yescharacteristic
469C2×C4⋊C4C22×D6111yescharacteristic
470C2×C4⋊C4C22×D6111yescharacteristic
471C2×C22⋊C4—21no—
472C2×C22⋊C4—611no—
473C2×C22⋊C4—611no—
474C2×C22⋊C4—1221no—
475C2×C22⋊C4—1221no—
476C2×C22⋊C4—1221no—
477C2×C22⋊C4—1221no—
478C2×C22⋊C4—1221no—
479C2×C42—611no—
480C2×C42—1221no—
481C2×C42—1221no—
482#107—22no—
483#107—22no—
484#107—1222no—
485#107—1222no—
486#106—1222no—
487#106—1222no—
488#103—1222no—
489#103—1222no—
490#103—1222no—
491#103—1222no—
492C22⋊C8—22no—
493C22⋊C8—1222no—
494C22⋊C8—1222no—
495#95—21no—
496#95—1221no—
497#95—1221no—
498#95—1221no—
499#95—1221no—
500C24—611no—
501C24D4×D6111yescharacteristic
502C2×Q8—612no—
503C2×Q8—1221no—
504C2×Q8—1221no—
505C2×Q8—1221no—
506C2×Q8—1221no—
507C2×Q8—1221no—
508C2×D4—1222no—
509C2×D4—1222no—
510C2×D4—2441no—
511C22×C4—24no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—42no—
523C22×C4—42no—
524C22×C4—611no—
525C22×C4—612no—
526C22×C4—612no—
527C22×C4—611no—
528C22×C4—611no—
529C22×C4—1221no—
530C22×C4—1221no—
531C22×C4—1221no—
532C22×C4—1221no—
533C22×C4—1221no—
534C22×C4—1221no—
535C22×C4—1221no—
536C22×C4—1221no—
537C22×C4—2442no—
538C22×C4—2442no—
539C22×C4—2442no—
540C22×C4D4×D6111yescharacteristic
541C22×C4C23×D6111yescharacteristic
542M16—1228no—
543C2×C8—21no—
544C2×C8—21no—
545C2×C8—21no—
546C2×C8—21no—
547C2×C8—21no—
548C2×C8—612no—
549C2×C8—1221no—
550C2×C8—1221no—
551C2×C8—1221no—
552C2×C8—1221no—
553C2×C8—1221no—
554C2×C8#1175822212yes—
555C4⋊C4—24no—
556C4⋊C4—21no—
557C4⋊C4—21no—
558C4⋊C4—21no—
559C4⋊C4—21no—
560C4⋊C4—21no—
561C4⋊C4—21no—
562C4⋊C4—612no—
563C4⋊C4—1222no—
564C4⋊C4—1224no—
565C4⋊C4—1224no—
566C4⋊C4—1224no—
567C4⋊C4—1224no—
568C4⋊C4—1224no—
569C4⋊C4—1221no—
570C4⋊C4—1221no—
571C4⋊C4—1221no—
572C4⋊C4—1221no—
573C4⋊C4—1221no—
574C4⋊C4—2442no—
575C4⋊C4—2442no—
576C4⋊C4—2442no—
577C4⋊C4D4×D6112yes—
578C4⋊C4D4×D6112yes—
579C22⋊C4—42no—
580C22⋊C4—1222no—
581C22⋊C4—1224no—
582C22⋊C4—1224no—
583C22⋊C4—1222no—
584C22⋊C4—1224no—
585C22⋊C4—2442no—
586C22⋊C4—2442no—
587C42—1224no—
588C42—1224no—
589C42—1221no—
590C42—1221no—
591C23—21no—
592C23—21no—
593C23—21no—
594C23—21no—
595C23—21no—
596C23—21no—
597C23—612no—
598C23—1221no—
599C23—1221no—
600C23—1221no—
601C23—1221no—
602C23—1221no—
603C23—1221no—
604C23#1451980112yes—
605C23C2×D4×D6111yescharacteristic
606Q8—1222no—
607Q8—1222no—
608Q8—2441no—
609Q8—2441no—
610D4—2444no—
611C2×C4—22no—
612C2×C4—21no—
613C2×C4—22no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—48no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—612no—
632C2×C4—1221no—
633C2×C4—1221no—
634C2×C4—1222no—
635C2×C4—1222no—
636C2×C4—1222no—
637C2×C4—1222no—
638C2×C4—1221no—
639C2×C4—1222no—
640C2×C4—1222no—
641C2×C4—1221no—
642C2×C4—1221no—
643C2×C4—1221no—
644C2×C4—1221no—
645C2×C4—1221no—
646C2×C4—4884no—
647C2×C4—2441no—
648C2×C4—2441no—
649C2×C4—2441no—
650C2×C4—2441no—
651C2×C4—2441no—
652C2×C4—2441no—
653C2×C4—2441no—
654C2×C4—2441no—
655C2×C4—2441no—
656C2×C4—2441no—
657C2×C4C2×D4×D6111yescharacteristic
658C2×C4C2×D4×D6111yescharacteristic
659C2×C4#41×D6111yescharacteristic
660C2×C4C2×#1175822211yescharacteristic
661C2×C4#1451982411yescharacteristic
662C2×C4#1451982511yescharacteristic
663C8—22no—
664C8—41no—
665C8—1222no—
666C8—2441no—
667C22—22no—
668C22—22no—
669C22—22no—
670C22—41no—
671C22—41no—
672C22—41no—
673C22—41no—
674C22—1222no—
675C22—1222no—
676C22—1222no—
677C22—2441no—
678C22—2441no—
679C22—2441no—
680C22—2441no—
681C22#120×D6111yescharacteristic
682C22#1684041011yescharacteristic
683C22#1684041311yescharacteristic
684C22C2×#1451980111yescharacteristic
685C22#1684055811yescharacteristic
686C22#1684057511yescharacteristic
687C22#1684057811yescharacteristic
688C4—41no—
689C4—42no—
690C4—42no—
691C4—81no—
692C4—81no—
693C4—1222no—
694C4—4881no—
695C4—4881no—
696C4—2441no—
697C4—2442no—
698C4—2442no—
699C4—2441no—
700C4#1684027111yescharacteristic
701C4#1684033511yescharacteristic
702C4#1684041411yescharacteristic
703C4#1684041711yescharacteristic
704C2—42no—
705C2—2442no—
706C2#2144915211yescharacteristic
707C2#2145506611yescharacteristic
708C2#2145510911yescharacteristic
709C2#2145825511yescharacteristic
710C2#2145826311yescharacteristic
711C2#2145839011yescharacteristic
712C2#2145839411yescharacteristic
subgroupG/H
centerC23C2×D4×D61
commutator, cosocleC22×C4×C61C24
FrattiniC22×C4C23×D61
FittingC61×#1852C2
socleC23×C61C22×D4
prime radicalC22×C22⋊D61D4
hypercenter#1852D61
hypocenterC61#24110
LCSG ▷ C22×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1852

Complements

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

NH ≅ G/Ntype
2. C2×#16840099C2semidirect
3. C2×#16839803C2semidirect
5. #21447156C2semidirect
6. #21447155C2semidirect
7. #21447016C2semidirect
8. #21447015C2semidirect
9. #21446251C2semidirect
11. #21446074C2semidirect
12. #21446070C2semidirect
13. #21446007C2semidirect
14. #21445913C2semidirect
15. C61×#1852C2semidirect
361. #1852D61semidirect
419. C61#24110semidirect

Maximal subgroups

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

subgroupindex
C2×#168404472
C2×#168400992
C2×#168398032
#214501232
#214471562
#214471552
#214470162
#214470152
#214462512
#214461132
#214460742
#214460702
#214460072
#214459132
C61×#18522
#2411061