Finite Group Databasebeta

← #29609180

Subgroups — #29609180

Order 15616.

2070 conjugacy classes of subgroups.

The subgroup lattice has 752 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#14519758C211yesmaximal, characteristic
2C2×#16839642C211yesmaximal, characteristic
3#21444069C212yesmaximal, complemented
4#21444066C212yesmaximal, complemented
5#21444066C212yesmaximal, complemented
6#21444052C212yesmaximal, complemented
7#21444041C212yesmaximal, complemented
8#21444041C212yesmaximal, complemented
9C2×C61×#390C211yesmaximal, characteristic
10C24×Dic61C2211yescharacteristic
11C24×Dic61C2211yescharacteristic
12C2×#14519758—24no—
13C2×#14519758—24no—
14C2×#14519758C418yescomplemented
15C22×#11758196C2212yes—
16C22×C22⋊Dic61C2212yes—
17C22×C22⋊Dic61C2212yes—
18C22×C22⋊Dic61C2211yescharacteristic
19C22×C22⋊Dic61C2211yescharacteristic
20#16839642—24no—
21C2×#14519684C2212yes—
22C2×#14519684C2212yes—
23C2×#14519684C2212yes—
24C2×#14519684C2212yes—
25C2×#14519684C2212yes—
26C2×#14519684C2212yes—
27C2×#14519684C2212yes—
28C2×#14519684C2212yes—
29C2×#14519684C2212yes—
30C23×D4×C61C2211yescharacteristic
31C22×C4⋊C4×C61C2211yescharacteristic
32C22×C22⋊C4×C61C2212yes—
33C22×C22⋊C4×C61C2212yes—
34C22×C42×C61C2211yescharacteristic
35C61×#390—24no—
36C23×Dic61—22no—
37C23×Dic61—22no—
38C23×Dic61—22no—
39C23×Dic61—24no—
40C23×Dic61—41no—
41C23×Dic61—41no—
42C23×Dic61—41no—
43C23×Dic61—41no—
44C23×Dic61—41no—
45C23×Dic61—41no—
46C23×Dic61—42no—
47C23×Dic61C2×C414yescomplemented
48C23×Dic61C2312yes—
49C23×Dic61C2312yes—
50C23×Dic61C2312yes—
51C23×Dic61C2312yes—
52#14519758—232no—
53C2×#11758196—24no—
54C2×#11758196—24no—
55C2×#11758196C2×C418yescomplemented
56C2×C22⋊Dic61—24no—
57C2×C22⋊Dic61—22no—
58C2×C22⋊Dic61—24no—
59C2×C22⋊Dic61—22no—
60C2×C22⋊Dic61—24no—
61C2×C22⋊Dic61—22no—
62C2×C22⋊Dic61—24no—
63C2×C22⋊Dic61—42no—
64C2×C22⋊Dic61—41no—
65C2×C22⋊Dic61—41no—
66C2×C22⋊Dic61C2×C418yes—
67C2×C22⋊Dic61C2×C414yescomplemented
68#14519684—24no—
69#14519684—24no—
70#14519684—24no—
71#14519684—42no—
72#14519684—42no—
73#14519684—42no—
74#14519684—42no—
75#14519684—42no—
76#14519684—42no—
77C25×C61C2311yescharacteristic
78C25×C61C2311yescharacteristic
79C22×D4×C61—41no—
80C22×D4×C61—41no—
81C22×D4×C61—41no—
82C22×D4×C61—41no—
83C22×D4×C61C2×C414yes—
84C22×D4×C61D414yes—
85C22×D4×C61D414yes—
86C23×C4×C61C2312yes—
87C23×C4×C61C2312yes—
88C23×C4×C61C2311yescharacteristic
89C2×C4⋊C4×C61—22no—
90C2×C4⋊C4×C61—41no—
91C2×C4⋊C4×C61—41no—
92C2×C22⋊C4×C61—24no—
93C2×C22⋊C4×C61—24no—
94C2×C22⋊C4×C61—24no—
95C2×C22⋊C4×C61—24no—
96C2×C22⋊C4×C61—42no—
97C2×C22⋊C4×C61—42no—
98C2×C42×C61—22no—
99C2×C42×C61—41no—
100C2×C42×C61—41no—
101C24×C61—22no—
102C24×C61—22no—
103C24×C61—22no—
104C24×C61—22no—
105C24×C61—22no—
106C24×C61—21no—
107C24×C61—21no—
108C24×C61—21no—
109C24×C61—21no—
110C24×C61—21no—
111C24×C61—21no—
112C24×C61—22no—
113C24×C61—21no—
114C24×C61—21no—
115C24×C61—22no—
116C24×C61—22no—
117C24×C61C22×C412yes—
118C24×C61C22×C412yes—
119C24×C61C2×D412yes—
120C24×C61C2×D412yes—
121C24×C61C2×D412yes—
122C24×C61C2×D412yes—
123C24×C61C2411yescharacteristic
124C2×D4×C61—44no—
125C2×D4×C61—44no—
126C2×D4×C61—44no—
127C2×D4×C61—44no—
128C2×D4×C61—44no—
129C2×D4×C61—44no—
130C2×D4×C61C22⋊C4116yes—
131C22×C4×C61—21no—
132C22×C4×C61—21no—
133C22×C4×C61—21no—
134C22×C4×C61—21no—
135C22×C4×C61—22no—
136C22×C4×C61—22no—
137C22×C4×C61—22no—
138C22×C4×C61—22no—
139C22×C4×C61—22no—
140C22×C4×C61—22no—
141C22×C4×C61—22no—
142C22×C4×C61—22no—
143C22×C4×C61—22no—
144C22×C4×C61—22no—
145C22×C4×C61—22no—
146C22×C4×C61—22no—
147C22×C4×C61—22no—
148C22×C4×C61C22×C412yes—
149C22×C4×C61C2×D412yes—
150C22×C4×C61C2×D412yes—
151C22×C4×C61#4114yes—
152C22×Dic61—28no—
153C22×Dic61—22no—
154C22×Dic61—22no—
155C22×Dic61—22no—
156C22×Dic61—22no—
157C22×Dic61—22no—
158C22×Dic61—22no—
159C22×Dic61—22no—
160C22×Dic61—22no—
161C22×Dic61—22no—
162C22×Dic61—22no—
163C22×Dic61—22no—
164C22×Dic61—22no—
165C22×Dic61—22no—
166C22×Dic61—22no—
167C22×Dic61—22no—
168C22×Dic61—22no—
169C22×Dic61—22no—
170C22×Dic61—22no—
171C22×Dic61—22no—
172C22×Dic61—22no—
173C22×Dic61—22no—
174C22×Dic61—22no—
175C22×Dic61—22no—
176C22×Dic61—22no—
177C22×Dic61—22no—
178C22×Dic61—44no—
179C22×Dic61—44no—
180C22×Dic61—44no—
181C22×Dic61—48no—
182C22×Dic61—48no—
183C22×Dic61—44no—
184C22×Dic61—44no—
185C22×Dic61—44no—
186C22×Dic61—44no—
187C22×Dic61—44no—
188C22×Dic61—44no—
189C22×Dic61C22×C414yes—
190C22×Dic61C22×C414yes—
191C22×Dic61#4114yes—
192C4⋊C4×C61—44no—
193C22⋊C4×C61—48no—
194C22⋊C4×C61—48no—
195C42×C61—44no—
196C22⋊Dic61—216no—
197C22⋊Dic61—28no—
198C22⋊Dic61—48no—
199C22⋊Dic61—44no—
200#11758196—216no—
201C23×C61—24no—
202C23×C61—24no—
203C23×C61—22no—
204C23×C61—22no—
205C23×C61—22no—
206C23×C61—22no—
207C23×C61—24no—
208C23×C61—24no—
209C23×C61—22no—
210C23×C61—22no—
211C23×C61—22no—
212C23×C61—22no—
213C23×C61—22no—
214C23×C61—22no—
215C23×C61—22no—
216C23×C61—22no—
217C23×C61—24no—
218C23×C61—24no—
219C23×C61—24no—
220C23×C61—24no—
221C23×C61—24no—
222C23×C61—24no—
223C23×C61—24no—
224C23×C61—24no—
225C23×C61—42no—
226C23×C61—42no—
227C23×C61—42no—
228C23×C61—42no—
229C23×C61—42no—
230C23×C61—42no—
231C23×C61—42no—
232C23×C61—42no—
233C23×C61—41no—
234C23×C61—41no—
235C23×C61—42no—
236C23×C61—42no—
237C23×C61—41no—
238C23×C61—41no—
239C23×C61—41no—
240C23×C61—41no—
241C23×C61—42no—
242C23×C61—42no—
243C23×C61—41no—
244C23×C61—41no—
245C23×C61C2×C22⋊C414yes—
246C23×C61C2×C22⋊C414yes—
247C23×C61C23×C411yescharacteristic
248C23×C61C22×D411yescharacteristic
249C23×C61C22×D411yescharacteristic
250C23×C61C2×#4112yes—
251C23×C61C2×#4112yes—
252C23×C61H(5,𝔽2)11yescharacteristic
253C23×C61H(5,𝔽2)11yescharacteristic
254C23×C61H(5,𝔽2)11yescharacteristic
255C23×C61H(5,𝔽2)11yescharacteristic
256C23×C61H(5,𝔽2)12yes—
257C23×C612−1+412yes—
258D4×C61—416no—
259C2×C4×C61—22no—
260C2×C4×C61—22no—
261C2×C4×C61—22no—
262C2×C4×C61—22no—
263C2×C4×C61—22no—
264C2×C4×C61—22no—
265C2×C4×C61—24no—
266C2×C4×C61—24no—
267C2×C4×C61—24no—
268C2×C4×C61—42no—
269C2×C4×C61—42no—
270C2×C4×C61—42no—
271C2×C4×C61—42no—
272C2×C4×C61—42no—
273C2×C4×C61—42no—
274C2×C4×C61—42no—
275C2×C4×C61—42no—
276C2×C4×C61—42no—
277C2×C4×C61—42no—
278C2×C4×C61—42no—
279C2×C4×C61C2×C22⋊C414yes—
280C2×Dic61—24no—
281C2×Dic61—24no—
282C2×Dic61—24no—
283C2×Dic61—24no—
284C2×Dic61—24no—
285C2×Dic61—24no—
286C2×Dic61—24no—
287C2×Dic61—24no—
288C2×Dic61—24no—
289C2×Dic61—416no—
290C2×Dic61—416no—
291C2×Dic61—42no—
292C2×Dic61—42no—
293C2×Dic61—42no—
294C2×Dic61—42no—
295C2×Dic61—42no—
296C2×Dic61—42no—
297C2×Dic61—42no—
298C2×Dic61—42no—
299C2×Dic61—42no—
300C2×Dic61—42no—
301C2×Dic61—42no—
302C2×Dic61—42no—
303C2×Dic61—42no—
304C2×Dic61—42no—
305C2×Dic61—42no—
306C2×Dic61—42no—
307C2×Dic61—42no—
308C2×Dic61—42no—
309C2×Dic61—42no—
310#14505—611nomaximal, Sylow
311C22×C61—24no—
312C22×C61—24no—
313C22×C61—28no—
314C22×C61—28no—
315C22×C61—44no—
316C22×C61—44no—
317C22×C61—42no—
318C22×C61—42no—
319C22×C61—42no—
320C22×C61—42no—
321C22×C61—42no—
322C22×C61—42no—
323C22×C61—44no—
324C22×C61—44no—
325C22×C61—44no—
326C22×C61—44no—
327C22×C61—42no—
328C22×C61—42no—
329C22×C61—42no—
330C22×C61—42no—
331C22×C61—42no—
332C22×C61—42no—
333C22×C61C22×C22⋊C411yescharacteristic
334C22×C61C4×#4112yes—
335C22×C61#51811yescharacteristic
336C22×C61#51811yescharacteristic
337C22×C61#52012yes—
338C22×C61#53411yescharacteristic
339C22×C61#53411yescharacteristic
340C22×C61#53411yescharacteristic
341C22×C61#53411yescharacteristic
342C22×C61#53812yes—
343C22×C61#53912yes—
344C22×C61#54012yes—
345C22×C61#54212yes—
346C22×C61#54612yes—
347C22×C61#54612yes—
348C22×C61#54712yes—
349C22×C61#54712yes—
350C22×C61#55111yescharacteristic
351C22×C61#55312yes—
352C22×C61#55911yescharacteristic
353C22×C61#56011yescharacteristic
354C22×C61#56212yes—
355C22×C61#56311yescharacteristic
356C4×C61—24no—
357C4×C61—44no—
358C4×C61—82no—
359Dic61—44no—
360Dic61—44no—
361Dic61—44no—
362Dic61—82no—
363C22×#123—611no—
364C2×#390D6111yescharacteristic
365C2×#386—611no—
366#1441—612no—
367#1440—612no—
368#1440—612no—
369#1436—612no—
370C22⋊#95—612no—
371C22⋊#95—612no—
372C2×C61—44no—
373C2×C61—44no—
374C2×C61#230811yescharacteristic
375C2×C61#233512yes—
376C2×C61#233912yes—
377C2×C61#237411yescharacteristic
378C2×C61#237611yescharacteristic
379C2×C61#269711yescharacteristic
380C2×C61#270112yes—
381C2×C61#270812yes—
382C2×C61#270911yescharacteristic
383C2×C61#271711yescharacteristic
384C2×C61#272411yescharacteristic
385C23×D4C2×D6111yescharacteristic
386C24×C4—611no—
387C24×C4—611no—
388C2×#123—618no—
389C2×#123—1224no—
390C2×#123—1224no—
391C22×C4⋊C4—612no—
392C22×C4⋊C4C2×D6111yescharacteristic
393C22×C22⋊C4—612no—
394C22×C22⋊C4—611no—
395C22×C22⋊C4—612no—
396C22×C22⋊C4—611no—
397C22×C22⋊C4C2×D6112yes—
398C22×C22⋊C4C2×D6112yes—
399C22×C42C2×D6111yescharacteristic
400#390—24no—
401#386—1224no—
402C2×#95—612no—
403C2×#95—612no—
404C2×#95—612no—
405C2×#95—612no—
406C2×#95—612no—
407C2×#95—612no—
408C2×#95—612no—
409C2×#95—612no—
410C2×#95—612no—
411C61#1450511yescharacteristic, complemented, Sylow
412C25C22×D6111yescharacteristic
413C25C22×D6111yescharacteristic
414C22×D4—41no—
415C22×D4—41no—
416C22×D4—41no—
417C22×D4—41no—
418C22×D4C4×D6114yes—
419C22×D4D24414yes—
420C22×D4C22⋊D6114yes—
421C23×C4—612no—
422C23×C4—612no—
423C23×C4—612no—
424C23×C4—614no—
425C23×C4—612no—
426C23×C4—1224no—
427C23×C4—1222no—
428C23×C4—1222no—
429C23×C4—1222no—
430C23×C4—2441no—
431C23×C4—2441no—
432C23×C4—2441no—
433C23×C4—2441no—
434C23×C4—2441no—
435C23×C4—2441no—
436C23×C4—2442no—
437C23×C4C22×D6112yes—
438C23×C4C22×D6112yes—
439C23×C4C22×D6111yescharacteristic
440#123—12232no—
441C2×C4⋊C4—22no—
442C2×C4⋊C4—41no—
443C2×C4⋊C4—41no—
444C2×C4⋊C4—618no—
445C2×C4⋊C4—1224no—
446C2×C4⋊C4—1224no—
447C2×C22⋊C4—24no—
448C2×C22⋊C4—24no—
449C2×C22⋊C4—24no—
450C2×C22⋊C4—24no—
451C2×C22⋊C4—42no—
452C2×C22⋊C4—42no—
453C2×C22⋊C4—618no—
454C2×C22⋊C4—614no—
455C2×C22⋊C4—1222no—
456C2×C22⋊C4—1224no—
457C2×C22⋊C4—1222no—
458C2×C22⋊C4—1224no—
459C2×C22⋊C4—1224no—
460C2×C22⋊C4—1224no—
461C2×C22⋊C4—1222no—
462C2×C22⋊C4—2442no—
463C2×C22⋊C4—2441no—
464C2×C22⋊C4—2441no—
465C2×C42—22no—
466C2×C42—41no—
467C2×C42—41no—
468#95—1224no—
469#95—1224no—
470#95—1224no—
471#95—2442no—
472#95—2442no—
473#95—2442no—
474#95—2442no—
475#95—2442no—
476#95—2442no—
477C24—22no—
478C24—22no—
479C24—22no—
480C24—22no—
481C24—22no—
482C24—22no—
483C24—21no—
484C24—21no—
485C24—21no—
486C24—21no—
487C24—21no—
488C24—21no—
489C24—21no—
490C24—21no—
491C24—22no—
492C24—22no—
493C24C2×C4×D6112yes—
494C24C2×C4×D6112yes—
495C24C2×D24412yes—
496C24C2×D24412yes—
497C24C2×C22⋊D6112yes—
498C24C2×C22⋊D6112yes—
499C24C23×D6111yescharacteristic
500C2×D4—44no—
501C2×D4—44no—
502C2×D4—44no—
503C2×D4—44no—
504C2×D4—44no—
505C2×D4—44no—
506C2×D4#11758198116yes—
507C22×C4—21no—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—22no—
512C22×C4—22no—
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—22no—
516C22×C4—22no—
517C22×C4—22no—
518C22×C4—22no—
519C22×C4—22no—
520C22×C4—22no—
521C22×C4—22no—
522C22×C4—22no—
523C22×C4—22no—
524C22×C4—614no—
525C22×C4—614no—
526C22×C4—614no—
527C22×C4—1222no—
528C22×C4—1222no—
529C22×C4—1222no—
530C22×C4—1222no—
531C22×C4—1222no—
532C22×C4—1222no—
533C22×C4—1222no—
534C22×C4—1222no—
535C22×C4—1222no—
536C22×C4—1222no—
537C22×C4—1222no—
538C22×C4—1222no—
539C22×C4—1222no—
540C22×C4—1222no—
541C22×C4—1222no—
542C22×C4—1222no—
543C22×C4—1222no—
544C22×C4—1222no—
545C22×C4—1228no—
546C22×C4—1222no—
547C22×C4—1222no—
548C22×C4—1222no—
549C22×C4—1222no—
550C22×C4—1222no—
551C22×C4—1222no—
552C22×C4—1222no—
553C22×C4—2444no—
554C22×C4—2444no—
555C22×C4—2444no—
556C22×C4—2448no—
557C22×C4—2448no—
558C22×C4—2444no—
559C22×C4—2444no—
560C22×C4—2444no—
561C22×C4—2444no—
562C22×C4—2444no—
563C22×C4—2444no—
564C22×C4C2×C4×D6112yes—
565C22×C4C2×D24412yes—
566C22×C4#1175822414yes—
567C22×C4C2×C22⋊D6112yes—
568C4⋊C4—44no—
569C4⋊C4—12216no—
570C22⋊C4—48no—
571C22⋊C4—48no—
572C22⋊C4—1228no—
573C22⋊C4—12216no—
574C22⋊C4—2448no—
575C22⋊C4—2444no—
576C42—44no—
577C23—24no—
578C23—24no—
579C23—22no—
580C23—22no—
581C23—22no—
582C23—22no—
583C23—24no—
584C23—24no—
585C23—22no—
586C23—22no—
587C23—22no—
588C23—22no—
589C23—22no—
590C23—22no—
591C23—22no—
592C23—22no—
593C23—24no—
594C23—24no—
595C23—24no—
596C23—24no—
597C23—24no—
598C23—24no—
599C23—24no—
600C23—24no—
601C23—42no—
602C23—42no—
603C23—41no—
604C23—41no—
605C23—41no—
606C23—41no—
607C23—42no—
608C23—42no—
609C23—41no—
610C23—41no—
611C23—42no—
612C23—42no—
613C23—42no—
614C23—42no—
615C23—42no—
616C23—42no—
617C23—42no—
618C23—42no—
619C23—41no—
620C23—41no—
621C23C2×#1175819814yes—
622C23C2×#1175819814yes—
623C23C22×C4×D6111yescharacteristic
624C23C22×C22⋊D6111yescharacteristic
625C23C22×D24411yescharacteristic
626C23#41×D6112yes—
627C23C2×#1175822412yes—
628C23#1451982211yescharacteristic
629C23#1451982211yescharacteristic
630C23#1451982211yescharacteristic
631C23#1451982211yescharacteristic
632C23#1451982212yes—
633C23#1451982412yes—
634D4—416no—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—24no—
642C2×C4—24no—
643C2×C4—24no—
644C2×C4—42no—
645C2×C4—42no—
646C2×C4—42no—
647C2×C4—42no—
648C2×C4—42no—
649C2×C4—42no—
650C2×C4—42no—
651C2×C4—42no—
652C2×C4—42no—
653C2×C4—42no—
654C2×C4—42no—
655C2×C4—1224no—
656C2×C4—1224no—
657C2×C4—1224no—
658C2×C4—1224no—
659C2×C4—1224no—
660C2×C4—1224no—
661C2×C4—1224no—
662C2×C4—1224no—
663C2×C4—1224no—
664C2×C4—2442no—
665C2×C4—2442no—
666C2×C4—2442no—
667C2×C4—2442no—
668C2×C4—2442no—
669C2×C4—2442no—
670C2×C4—2442no—
671C2×C4—24416no—
672C2×C4—24416no—
673C2×C4—2442no—
674C2×C4—2442no—
675C2×C4—2442no—
676C2×C4—2442no—
677C2×C4—2442no—
678C2×C4—2442no—
679C2×C4—2442no—
680C2×C4—2442no—
681C2×C4—2442no—
682C2×C4—2442no—
683C2×C4—2442no—
684C2×C4—2442no—
685C2×C4C2×#1175819814yes—
686C22—28no—
687C22—28no—
688C22—24no—
689C22—24no—
690C22—42no—
691C22—42no—
692C22—42no—
693C22—42no—
694C22—42no—
695C22—42no—
696C22—42no—
697C22—42no—
698C22—44no—
699C22—44no—
700C22—44no—
701C22—44no—
702C22—42no—
703C22—42no—
704C22—44no—
705C22—44no—
706C22—42no—
707C22—42no—
708C22C22×#1175819811yescharacteristic
709C22C4×#1175822412yes—
710C22#1684023511yescharacteristic
711C22#1684023511yescharacteristic
712C22#1684024112yes—
713C22#1684032111yescharacteristic
714C22#1684032111yescharacteristic
715C22#1684032411yescharacteristic
716C22#1684032411yescharacteristic
717C22#1684034412yes—
718C22#1684035712yes—
719C22#1684036612yes—
720C22#1684037612yes—
721C22#1684040612yes—
722C22#1684040712yes—
723C22#1684041112yes—
724C22#1684041612yes—
725C22#1684044211yescharacteristic
726C22#1684045512yes—
727C22#1684049811yescharacteristic
728C22#1684049911yescharacteristic
729C22#1684050712yes—
730C22#1684051211yescharacteristic
731C4—24no—
732C4—44no—
733C4—82no—
734C4—4882no—
735C4—2444no—
736C4—2444no—
737C4—2444no—
738C2—44no—
739C2—44no—
740C2#2144839411yescharacteristic
741C2#2144860612yes—
742C2#2144864412yes—
743C2#2144895411yescharacteristic
744C2#2144896911yescharacteristic
745C2#2145238111yescharacteristic
746C2#2145243012yes—
747C2#2145253112yes—
748C2#2145254611yescharacteristic
749C2#2145265411yescharacteristic
750C2#2145274911yescharacteristic
subgroupG/H
center, FrattiniC24C23×D61
commutatorC23×C61C23×C4
FittingC2×C61×#390C2
socle, cosocleC24×C61C24
prime radicalC23×D4×C61C22
hypercenterC2×#390D61
hypocenterC61#14505
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C24 ◁ C2×#390

Complements

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

NH ≅ G/Ntype
3. #21444069C2semidirect
4. #21444066C2semidirect
5. #21444066C2semidirect
6. #21444052C2semidirect
7. #21444041C2semidirect
8. #21444041C2semidirect
14. C2×#14519758C4semidirect
47. C23×Dic61C2×C4semidirect
55. C2×#11758196C2×C4semidirect
67. C2×C22⋊Dic61C2×C4semidirect
411. C61#14505semidirect

Maximal subgroups

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

subgroupindex
C22×#145197582
C2×#168396422
#214440692
#214440662
#214440522
#214440412
C2×C61×#3902
#1450561