Finite Group Databasebeta

← D61×#1487 #29646409

Subgroups — D61×#1487 #29646409

Order 15616.

1282 conjugacy classes of subgroups.

The subgroup lattice has 670 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C4×Q8×D61C211yesmaximal, characteristic
2#431×D61C211yesmaximal, characteristic
3#423×D61C211yesmaximal, characteristic
4#21444249C211yesmaximal, characteristic, complemented
5#21444248C211yesmaximal, characteristic, complemented
6#21444247C211yesmaximal, characteristic, complemented
7#21444246C214yesmaximal, complemented
8Q8⋊C8×D61C214yesmaximal, complemented
9C61×#1487C211yesmaximal, characteristic, complemented
10C22×Q8×D61C411yescharacteristic
11C2×M16×D61—21no—
12C2×Q8×Dic61C411yescharacteristic
13C2×C4×Dic122—21no—
14C2×C4×Dic122C2211yescharacteristic
15C2×#14519742—21no—
16C2×#14519742C411yescharacteristic
17C4×Q8×D61—21no—
18C4×Q8×D61—21no—
19C4×Q8×D61—21no—
20C4×Q8×D61—21no—
21C4×Q8×D61C412yes—
22C4×Q8×D61C412yes—
23C4×Q8×D61C2212yes—
24C4×Q8×D61C2212yes—
25C2×C4⋊C4×D61—21no—
26C2×C4⋊C4×D61C411yescharacteristic
27C2×C42×D61—21no—
28C2×C42×D61C2211yescharacteristic
29#16839815C2211yescharacteristic
30#16839814—21no—
31#16839813C2212yes—
32#16839812—21no—
33#16839786C2211yescharacteristic
34#16839785—21no—
35#16839784—21no—
36#16839784C2212yes—
37C4⋊C8×D61—21no—
38C4⋊C8×D61—21no—
39C4⋊C8×D61C2212yes—
40C22⋊C8×D61—21no—
41C4×C8×D61C2212yes—
42#16839494C2214yescomplemented
43Q8⋊#92418C2214yescomplemented
44#16839492C2214yescomplemented
45C2×C4×Q8×C61C2211yescharacteristic
46C61×#431C2211yescharacteristic
47C61×#423C2211yescharacteristic
48C61×Q8⋊C8C2214yescomplemented
49C22×Dic122—21no—
50C22×Dic122C2×C411yescharacteristic
51C2×Q8×D61—28no—
52C2×Q8×D61—21no—
53C2×Q8×D61—21no—
54C2×Q8×D61C2×C412yes—
55C2×Q8×D61C2×C412yes—
56C22×C4×D61—21no—
57C22×C4×D61—21no—
58C22×C4×D61C2×C411yescharacteristic
59C22×C4×D61D411yescharacteristic
60C22×C4×D61D411yescharacteristic
61C2×#11758194—21no—
62C2×#11758189—22no—
63M16×D61—44no—
64C2×C8×D61—22no—
65C2×C8×D61—22no—
66Q8×Dic61—21no—
67Q8×Dic61—21no—
68Q8×Dic61C2×C412yes—
69Q8×Dic61C2×C412yes—
70C4×Dic122—21no—
71C4×Dic122—21no—
72C4×Dic122—22no—
73C4×Dic122—22no—
74C4×Dic122—22no—
75C4×Dic122—22no—
76C4×Dic122C2×C412yes—
77C4×Dic122C2312yes—
78#14519742—21no—
79#14519742—21no—
80#14519742—22no—
81#14519742—22no—
82#14519742—22no—
83#14519742—22no—
84#14519742C2×C412yes—
85#14519742C2×C412yes—
86C2×C4⋊Dic61—21no—
87C2×C4⋊Dic61C2×C411yescharacteristic
88C2×#11758196—21no—
89C2×#11758196—21no—
90C2×#11758196—21no—
91C4⋊C4×D61—22no—
92C4⋊C4×D61—22no—
93C4⋊C4×D61—21no—
94C4⋊C4×D61—21no—
95C4⋊C4×D61—22no—
96C4⋊C4×D61—22no—
97C4⋊C4×D61C2×C412yes—
98C4⋊C4×D61C2×C412yes—
99C2×C4×Dic61—21no—
100C2×C4×Dic61—21no—
101C2×C4×Dic61—21no—
102C2×C4×Dic61C2×C411yescharacteristic
103C2×C4×Dic61D411yescharacteristic
104C2×C4×Dic61D411yescharacteristic
105C42×D61—22no—
106C42×D61—22no—
107C42×D61—22no—
108C42×D61—22no—
109C42×D61C2×C411yescharacteristic
110C42×D61C2×C411yescharacteristic
111C42×D61D411yescharacteristic
112C42×D61D411yescharacteristic
113C42×D61D411yescharacteristic
114C42×D61D411yescharacteristic
115C42×D61C2311yescharacteristic
116C42×D61C2311yescharacteristic
117C4⋊#92418—21no—
118C4⋊#92418—21no—
119C4⋊#92418C2312yes—
120#14519706—22no—
121#14519706—22no—
122#14519706—22no—
123C22⋊#92418—21no—
124#14519689—22no—
125C4×#92418C2312yes—
126C8×Dic61—22no—
127C22×Q8×C61C2×C411yescharacteristic
128C2×M16×C61—21no—
129C4×Q8×C61—21no—
130C4×Q8×C61—21no—
131C4×Q8×C61C2×C412yes—
132C4×Q8×C61C2312yes—
133C2×C4⋊C4×C61—21no—
134C2×C4⋊C4×C61C2×C411yescharacteristic
135C2×C42×C61—21no—
136C2×C42×C61C2311yescharacteristic
137C4⋊C8×C61—21no—
138C4⋊C8×C61—21no—
139C4⋊C8×C61C2312yes—
140C22⋊C8×C61—21no—
141C4×C8×C61C2312yes—
142C23×D61C22⋊C411yescharacteristic
143C2×Q8×C61—24no—
144C2×Q8×C61—21no—
145C2×Q8×C61C22×C412yes—
146C22×C4×C61—21no—
147C22×C4×C61—21no—
148C22×C4×C61C22×C411yescharacteristic
149C22×C4×C61C2×D411yescharacteristic
150C22×C4×C61C2×D411yescharacteristic
151C22×Dic61—21no—
152C22×Dic61—21no—
153C22×Dic61C22⋊C411yescharacteristic
154C22×Dic61C22⋊C411yescharacteristic
155C22×Dic61C22⋊C411yescharacteristic
156Q8×D61—28no—
157Q8×D61—28no—
158Q8×D61—24no—
159Q8×D61—24no—
160Q8×D61—24no—
161Q8×D61M1618yescomplemented
162C2×C4×D61—28no—
163C2×C4×D61—22no—
164C2×C4×D61—22no—
165C2×C4×D61—24no—
166C2×C4×D61—22no—
167C2×C4×D61—22no—
168C2×C4×D61—42no—
169C2×C4×D61—44no—
170C2×C4×D61C22⋊C411yescharacteristic
171C2×C4×D61C22⋊C411yescharacteristic
172C2×C4×D61C22⋊C411yescharacteristic
173C2×C4×D61C22⋊C411yescharacteristic
174C2×C4×D61C22⋊C411yescharacteristic
175C2×C4×D61C22⋊C411yescharacteristic
176C2×C4×D61SD1614yes—
177C2×C4×D61Q1614yes—
178C2×C4×D61C22×C411yescharacteristic
179C2×C4×D61C22×C411yescharacteristic
180C2×C4×D61C2×D411yescharacteristic
181C2×C4×D61C2×D411yescharacteristic
182C2×C4×D61C2×D411yescharacteristic
183C2×C4×D61C2×D411yescharacteristic
184C2×Dic122—28no—
185C2×Dic122—21no—
186C2×Dic122—22no—
187C2×Dic122—22no—
188C2×Dic122—24no—
189C2×Dic122C22×C412yes—
190M16×C61—42no—
191C2×C8×C61—22no—
192C2×C8×C61—22no—
193C4⋊C4×C61—22no—
194C4⋊C4×C61—21no—
195C4⋊C4×C61—22no—
196C4⋊C4×C61C22×C412yes—
197C42×C61—22no—
198C42×C61—22no—
199C42×C61C22×C411yescharacteristic
200C42×C61C2×D411yescharacteristic
201C42×C61C2×D411yescharacteristic
202C42×C61C2411yescharacteristic
203C4⋊Dic61—21no—
204C4⋊Dic61—22no—
205C4⋊Dic61—22no—
206C4⋊Dic61C22×C412yes—
207#11758196—22no—
208#11758196—22no—
209#11758196—22no—
210#11758196—22no—
211#11758196—22no—
212#11758196—22no—
213C4×Dic61—22no—
214C4×Dic61—22no—
215C4×Dic61—22no—
216C4×Dic61—22no—
217C4×Dic61—22no—
218C4×Dic61—22no—
219C4×Dic61C22⋊C411yescharacteristic
220C4×Dic61C22⋊C411yescharacteristic
221C4×Dic61C22⋊C411yescharacteristic
222C4×Dic61C22⋊C411yescharacteristic
223C4×Dic61C22⋊C411yescharacteristic
224C4×Dic61C22⋊C411yescharacteristic
225C4×Dic61C22×C411yescharacteristic
226C4×Dic61C22×C411yescharacteristic
227C4×Dic61C2×D411yescharacteristic
228C4×Dic61C2×D411yescharacteristic
229C4×Dic61C2×D411yescharacteristic
230C4×Dic61C2×D411yescharacteristic
231#11758194—42no—
232C2×#92418—22no—
233C2×#92418—22no—
234#11758189—44no—
235C8×D61—44no—
236C8×D61—44no—
237C23×C61C2×C22⋊C411yescharacteristic
238C22×D61—22no—
239C22×D61—22no—
240C22×D61#10314yes—
241C22×D61C2×C22⋊C411yescharacteristic
242C22×D61C2×C22⋊C411yescharacteristic
243Q8×C61—24no—
244Q8×C61—22no—
245Q8×C61C2×M1614yescomplemented
246C2×C4×C61—24no—
247C2×C4×C61—22no—
248C2×C4×C61—22no—
249C2×C4×C61—22no—
250C2×C4×C61—41no—
251C2×C4×C61—42no—
252C2×C4×C61C2×C22⋊C411yescharacteristic
253C2×C4×C61C2×C22⋊C411yescharacteristic
254C2×C4×C61C2×C22⋊C411yescharacteristic
255C2×C4×C61C2×SD1612yes—
256C2×C4×C61C2×Q1612yes—
257C2×C4×C61C23×C411yescharacteristic
258C2×C4×C61C22×D411yescharacteristic
259C2×C4×C61C22×D411yescharacteristic
260C2×Dic61—24no—
261C2×Dic61—22no—
262C2×Dic61—22no—
263C2×Dic61—22no—
264C2×Dic61—41no—
265C2×Dic61—42no—
266C2×Dic61#10314yes—
267C2×Dic61C2×C22⋊C411yescharacteristic
268C2×Dic61C2×C22⋊C411yescharacteristic
269C2×Dic61C2×C22⋊C411yescharacteristic
270C2×Dic61C2×C22⋊C411yescharacteristic
271C2×Dic61C2×C22⋊C411yescharacteristic
272C2×Dic61C2×C22⋊C411yescharacteristic
273C4×D61—28no—
274C4×D61—28no—
275C4×D61—22no—
276C4×D61—22no—
277C4×D61—22no—
278C4×D61—22no—
279C4×D61—22no—
280C4×D61—41no—
281C4×D61—41no—
282C4×D61—44no—
283C4×D61—44no—
284C4×D61#10314yes—
285C4×D61#10314yes—
286C4×D61C2×M1614yes—
287C4×D61C2×SD1612yes—
288C4×D61C2×SD1612yes—
289C4×D61C2×Q1612yes—
290C4×D61C2×Q1612yes—
291Dic122—28no—
292Dic122—24no—
293Dic122—22no—
294Dic122—28no—
295Dic122C2×M1614yescomplemented
296C8×C61—42no—
297C8×C61—42no—
298#92418—42no—
299#92418—42no—
300C2×#1487—611nomaximal, Sylow
301C22×C61—21no—
302C22×C61—21no—
303C22×C61C2×#10312yes—
304C22×C61C22×C22⋊C411yescharacteristic
305C2×D61—21no—
306C2×D61—21no—
307C2×D61—28no—
308C2×D61#40712yes—
309C2×D61C2×#10312yes—
310C2×D61C2×#10312yes—
311C2×D61#42112yes—
312C4×C61—24no—
313C4×C61—21no—
314C4×C61—21no—
315C4×C61—21no—
316C4×C61—42no—
317C4×C61C2×#10312yes—
318C4×C61C22×M1612yes—
319C4×C61C22×SD1611yescharacteristic
320C4×C61C22×Q1611yescharacteristic
321Dic61—21no—
322Dic61—24no—
323Dic61—21no—
324Dic61—21no—
325Dic61—42no—
326Dic61#40712yes—
327Dic61C2×#10312yes—
328Dic61C2×#10312yes—
329C22×C4×Q8—611no—
330C2×#431—611no—
331C2×#423—611no—
332#1487—611no—
333#1487—611no—
334#1487—614no—
335#1487—611no—
336#1487D6111yescharacteristic, direct product factor
337C2×Q8⋊C8—614no—
338C2×C61—22no—
339C2×C61C2×#40711yescharacteristic
340C2×C61C22×#10311yescharacteristic
341C2×C61C2×#42111yescharacteristic
342D61—22no—
343D61#148714yesdirect product factor
344C23×Q8—611no—
345C22×M16—1221no—
346C2×C4×Q8—611no—
347C2×C4×Q8—612no—
348C2×C4×Q8—612no—
349C2×C4×Q8—612no—
350C2×C4×Q8—612no—
351C2×C4×Q8—611no—
352C2×C4×Q8—611no—
353C2×C4×Q8—1221no—
354C2×C4×Q8—1221no—
355C2×C4×Q8—1221no—
356C2×C4×Q8—1221no—
357C2×C4×Q8—1221no—
358C2×C4×Q8—1221no—
359C2×C4×Q8C2×D6111yescharacteristic
360C22×C4⋊C4—611no—
361C22×C4⋊C4—1221no—
362C22×C42—611no—
363C22×C42—1221no—
364#431—611no—
365#431—612no—
366#431—1221no—
367#431—1221no—
368#431C2×D6111yescharacteristic
369#423—611no—
370#423—612no—
371#423—1221no—
372#423—1221no—
373#423C2×D6111yescharacteristic
374C2×C4⋊C8—612no—
375C2×C4⋊C8—1221no—
376C2×C4⋊C8—1221no—
377C2×C22⋊C8—1221no—
378C2×C4×C8—612no—
379Q8⋊C8—614no—
380Q8⋊C8—614no—
381Q8⋊C8—614no—
382Q8⋊C8C2×D6114yescomplemented
383C61C2×#148711yescharacteristic, complemented, Sylow
384C22×Q8—612no—
385C22×Q8—612no—
386C22×Q8—611no—
387C22×Q8—1221no—
388C22×Q8—1221no—
389C22×Q8—1221no—
390C22×Q8—1228no—
391C22×Q8C4×D6111yescharacteristic
392C23×C4—611no—
393C23×C4—611no—
394C23×C4—611no—
395C23×C4—1221no—
396C23×C4—1221no—
397C2×M16—21no—
398C2×M16—1222no—
399C2×M16—1221no—
400C2×M16—2444no—
401C22×C8—1222no—
402C22×C8—1222no—
403C4×Q8—21no—
404C4×Q8—21no—
405C4×Q8—612no—
406C4×Q8—612no—
407C4×Q8—612no—
408C4×Q8—612no—
409C4×Q8—612no—
410C4×Q8—612no—
411C4×Q8—1222no—
412C4×Q8—1222no—
413C4×Q8—1222no—
414C4×Q8—1222no—
415C4×Q8—1222no—
416C4×Q8—1222no—
417C4×Q8—1222no—
418C4×Q8—1222no—
419C4×Q8—1221no—
420C4×Q8—1221no—
421C4×Q8—1221no—
422C4×Q8—1221no—
423C4×Q8—1221no—
424C4×Q8—1221no—
425C4×Q8C4×D6112yes—
426C4×Q8C22×D6112yes—
427C2×C4⋊C4—21no—
428C2×C4⋊C4—611no—
429C2×C4⋊C4—612no—
430C2×C4⋊C4—612no—
431C2×C4⋊C4—1221no—
432C2×C4⋊C4—1221no—
433C2×C4⋊C4—1222no—
434C2×C4⋊C4—1222no—
435C2×C4⋊C4—1222no—
436C2×C4⋊C4—1222no—
437C2×C4⋊C4—1221no—
438C2×C4⋊C4—1221no—
439C2×C4⋊C4—1221no—
440C2×C4⋊C4—1221no—
441C2×C4⋊C4C4×D6111yescharacteristic
442C2×C42—21no—
443C2×C42—611no—
444C2×C42—611no—
445C2×C42—611no—
446C2×C42—611no—
447C2×C42—611no—
448C2×C42—611no—
449C2×C42—611no—
450C2×C42—611no—
451C2×C42—611no—
452C2×C42—611no—
453C2×C42—611no—
454C2×C42—1222no—
455C2×C42—1222no—
456C2×C42—1222no—
457C2×C42—1222no—
458C2×C42—1221no—
459C2×C42—1221no—
460C2×C42—1221no—
461C2×C42C22×D6111yescharacteristic
462C4⋊C8—21no—
463C4⋊C8—21no—
464C4⋊C8—612no—
465C4⋊C8—1222no—
466C4⋊C8—1222no—
467C4⋊C8—1222no—
468C4⋊C8—1221no—
469C4⋊C8—1221no—
470C4⋊C8C22×D6112yes—
471C22⋊C8—21no—
472C22⋊C8—1222no—
473C22⋊C8—1221no—
474C4×C8—612no—
475C4×C8—1222no—
476C4×C8C22×D6112yes—
477C24—611no—
478C2×Q8—24no—
479C2×Q8—21no—
480C2×Q8—618no—
481C2×Q8—612no—
482C2×Q8—1222no—
483C2×Q8—1222no—
484C2×Q8—1224no—
485C2×Q8—1228no—
486C2×Q8—1224no—
487C2×Q8—1224no—
488C2×Q8—1228no—
489C2×Q8—1228no—
490C2×Q8—1224no—
491C2×Q8—1221no—
492C2×Q8C2×C4×D6112yes—
493C22×C4—21no—
494C22×C4—21no—
495C22×C4—611no—
496C22×C4—611no—
497C22×C4—611no—
498C22×C4—611no—
499C22×C4—611no—
500C22×C4—611no—
501C22×C4—614no—
502C22×C4—614no—
503C22×C4—611no—
504C22×C4—611no—
505C22×C4—611no—
506C22×C4—611no—
507C22×C4—611no—
508C22×C4—611no—
509C22×C4—611no—
510C22×C4—611no—
511C22×C4—611no—
512C22×C4—1224no—
513C22×C4—1222no—
514C22×C4—1222no—
515C22×C4—1228no—
516C22×C4—1222no—
517C22×C4—1222no—
518C22×C4—1221no—
519C22×C4—1221no—
520C22×C4—2442no—
521C22×C4—2444no—
522C22×C4C2×C4×D6111yescharacteristic
523C22×C4D4×D6111yescharacteristic
524C22×C4D4×D6111yescharacteristic
525M16—42no—
526M16—2444no—
527M16—2442no—
528C2×C8—22no—
529C2×C8—22no—
530C2×C8—1222no—
531C2×C8—1222no—
532C2×C8—2444no—
533C2×C8—2444no—
534C4⋊C4—22no—
535C4⋊C4—22no—
536C4⋊C4—21no—
537C4⋊C4—612no—
538C4⋊C4—1222no—
539C4⋊C4—1222no—
540C4⋊C4—1222no—
541C4⋊C4—1222no—
542C4⋊C4—1222no—
543C4⋊C4—1222no—
544C4⋊C4—1222no—
545C4⋊C4—1221no—
546C4⋊C4—1222no—
547C4⋊C4C2×C4×D6112yes—
548C42—22no—
549C42—22no—
550C42—611no—
551C42—611no—
552C42—611no—
553C42—611no—
554C42—611no—
555C42—611no—
556C42—611no—
557C42—611no—
558C42—611no—
559C42—611no—
560C42—611no—
561C42—611no—
562C42—1222no—
563C42—1222no—
564C42—1222no—
565C42—1222no—
566C42—1222no—
567C42—1222no—
568C42C2×C4×D6111yescharacteristic
569C42D4×D6111yescharacteristic
570C42D4×D6111yescharacteristic
571C42C23×D6111yescharacteristic
572C23—611no—
573C23—611no—
574C23—614no—
575C23—1222no—
576C23—1222no—
577C23C22⋊C4×D6111yescharacteristic
578Q8—24no—
579Q8—22no—
580Q8—614no—
581Q8—1228no—
582Q8—1228no—
583Q8—1224no—
584Q8—1222no—
585Q8M16×D6114yescomplemented
586C2×C4—24no—
587C2×C4—22no—
588C2×C4—22no—
589C2×C4—22no—
590C2×C4—41no—
591C2×C4—42no—
592C2×C4—611no—
593C2×C4—611no—
594C2×C4—611no—
595C2×C4—614no—
596C2×C4—614no—
597C2×C4—614no—
598C2×C4—614no—
599C2×C4—612no—
600C2×C4—612no—
601C2×C4—612no—
602C2×C4—612no—
603C2×C4—611no—
604C2×C4—611no—
605C2×C4—611no—
606C2×C4—1222no—
607C2×C4—1222no—
608C2×C4—1222no—
609C2×C4—1222no—
610C2×C4—1228no—
611C2×C4—1228no—
612C2×C4—1222no—
613C2×C4—1224no—
614C2×C4—1222no—
615C2×C4—1222no—
616C2×C4—1222no—
617C2×C4—2441no—
618C2×C4—2441no—
619C2×C4—2444no—
620C2×C4—2444no—
621C2×C4—2441no—
622C2×C4—2442no—
623C2×C4C22⋊C4×D6111yescharacteristic
624C2×C4C22⋊C4×D6111yescharacteristic
625C2×C4C22⋊C4×D6111yescharacteristic
626C2×C4SD16×D6112yes—
627C2×C4Q16×D6112yes—
628C2×C4C22×C4×D6111yescharacteristic
629C2×C4C2×D4×D6111yescharacteristic
630C2×C4C2×D4×D6111yescharacteristic
631C8—42no—
632C8—42no—
633C8—2442no—
634C8—2442no—
635C22—21no—
636C22—21no—
637C22—612no—
638C22—612no—
639C22—612no—
640C22—612no—
641C22—1228no—
642C22—1221no—
643C22—1221no—
644C22#103×D6112yes—
645C22C2×C22⋊C4×D6111yescharacteristic
646C4—21no—
647C4—21no—
648C4—24no—
649C4—21no—
650C4—42no—
651C4—612no—
652C4—612no—
653C4—612no—
654C4—1221no—
655C4—1221no—
656C4—1221no—
657C4—1224no—
658C4—2442no—
659C4#103×D6112yes—
660C4C2×M16×D6112yes—
661C4C2×SD16×D6111yescharacteristic
662C4C2×Q16×D6111yescharacteristic
663C2—22no—
664C2—614no—
665C2—1222no—
666C2#407×D6111yescharacteristic
667C2C2×#103×D6111yescharacteristic
668C2#421×D6111yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D61
commutatorC2×C4×C61C23×C4
FrattiniC42C23×D61
FittingC61×#1487C2
socleC22×C61C22×C22⋊C4
prime radicalC23×D61C22⋊C4
cosocleC42×C61C24
hypercenter#1487D61
hypocenterC61C2×#1487
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C2×C4 ◁ C2×C42 ◁ #1487

Complements

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

NH ≅ G/Ntype
4. #21444249C2semidirect
5. #21444248C2semidirect
6. #21444247C2semidirect
7. #21444246C2semidirect
8. Q8⋊C8×D61C2semidirect
9. C61×#1487C2semidirect
42. #16839494C22semidirect
43. Q8⋊#92418C22semidirect
44. #16839492C22semidirect
48. C61×Q8⋊C8C22semidirect
161. Q8×D61M16semidirect
245. Q8×C61C2×M16semidirect
295. Dic122C2×M16semidirect
336. #1487D61direct (N × H)
343. D61#1487direct (N × H)
382. Q8⋊C8C2×D61semidirect
383. C61C2×#1487semidirect
585. Q8M16×D61semidirect

Maximal subgroups

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

subgroupindex
C2×C4×Q8×D612
#431×D612
#423×D612
#214442492
#214442482
#214442472
#214442462
Q8⋊C8×D612
C61×#14872
C2×#148761