Finite Group Databasebeta

← #29702299

Subgroups — #29702299

Order 15616.

1034 conjugacy classes of subgroups.

The subgroup lattice has 702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16839978C211yesmaximal, characteristic
2C2×C4×#11758190C211yesmaximal, characteristic, complemented
3C2×C4×D488C211yesmaximal, characteristic
4#21448888C211yesmaximal, characteristic, complemented
5#21448730C211yesmaximal, characteristic, complemented
6#21446630C211yesmaximal, characteristic, complemented
7#21446589C211yesmaximal, characteristic, complemented
8#21446502C211yesmaximal, characteristic, complemented
9#21446495C211yesmaximal, characteristic, complemented
10#21446166C211yesmaximal, characteristic
11#21446152C211yesmaximal, characteristic, complemented
12#21446083C211yesmaximal, characteristic, complemented
13#21446076C211yesmaximal, characteristic, complemented
14C4×#14519699C211yesmaximal, characteristic, complemented
15C8×C4⋊C4×C61C211yesmaximal, characteristic, complemented
16C22×#11758190C2211yescharacteristic
17C22×D488C2211yescharacteristic
18C2×#14519765C2211yescharacteristic
19C2×C4×Dic122C2211yescharacteristic
20C2×C4×D244C2211yescharacteristic
21C2×C4×D244C2211yescharacteristic
22C2×C4×D244C2211yescharacteristic
23C2×C4×D244C2211yescharacteristic
24#16839978C418yescomplemented
25C4×#11758190—24no—
26C4×D488—24no—
27C2×#14519711C2211yescharacteristic
28C2×#14519709C2211yescharacteristic
29C2×#14519702C2211yescharacteristic
30C2×#14519702C2211yescharacteristic
31C2×#14519702C2211yescharacteristic
32C2×#14519699C2211yescharacteristic
33C2×#14519699C2211yescharacteristic
34C2×#14519699C2211yescharacteristic
35C2×#14519699C2211yescharacteristic
36C2×#14519699C2211yescharacteristic
37#16839668C2211yescharacteristic
38#16839664C2211yescharacteristic
39#16839660C2211yescharacteristic
40#16839660C2211yescharacteristic
41#16839652—21no—
42#16839651—21no—
43#16839633—21no—
44#16839633—21no—
45#16839633—21no—
46#16839628C2211yescharacteristic
47#16839621—21no—
48C4×C4⋊Dic61C2211yescharacteristic
49#16839609—21no—
50#95×D61—21no—
51#16839525C2211yescharacteristic
52#16839525C2211yescharacteristic
53#16839525C2211yescharacteristic
54#16839525C2211yescharacteristic
55C2×C4⋊C8×C61C2211yescharacteristic
56C2×C4×C8×C61C2211yescharacteristic
57C2×C4×C8×C61C2211yescharacteristic
58C2×C4×C8×C61C2211yescharacteristic
59C4×C4⋊C4×C61C2211yescharacteristic
60C61×#336C2211yescharacteristic
61C61×#336C2211yescharacteristic
62C22×Dic122C2311yescharacteristic
63C22×D244C2311yescharacteristic
64C22×D244C2311yescharacteristic
65C22×C4×D61—21no—
66C22×C4×D61—21no—
67C22×C4×D61—21no—
68C22×C4×D61—21no—
69C2×#11758190—22no—
70C2×#11758190—22no—
71C2×#11758190C2×C414yescomplemented
72C2×D488—22no—
73C2×D488—22no—
74C2×D488C2×C414yes—
75#14519765—22no—
76#14519765C2×C414yescomplemented
77C4×Dic122—22no—
78C4×Dic122—41no—
79C4×D244—22no—
80C4×D244—22no—
81C4×D244—22no—
82C4×D244—22no—
83C4×D244—41no—
84C4×D244—41no—
85C4×D244—41no—
86C4×D244C2×C414yescomplemented
87C2×C4⋊Dic61C2311yescharacteristic
88C2×C4⋊Dic61C2311yescharacteristic
89C2×C4⋊Dic61C2311yescharacteristic
90C2×C4⋊Dic61C2311yescharacteristic
91C2×C4⋊Dic61C2311yescharacteristic
92C2×#11758196—21no—
93C2×#11758196—21no—
94C2×#11758196—21no—
95C2×#11758198—21no—
96C2×#11758198—21no—
97C2×#11758198—21no—
98C2×#11758198—21no—
99C2×#11758198—21no—
100C2×#11758198—21no—
101C2×#11758198—21no—
102C2×#11758198—21no—
103C2×C4×Dic61—21no—
104C2×C4×Dic61—21no—
105#14519711—22no—
106#14519709—22no—
107#14519702—22no—
108#14519702—41no—
109#14519702C2×C414yescomplemented
110#14519699—22no—
111#14519699—22no—
112#14519699—41no—
113#14519699C2×C414yescomplemented
114#14519699D414yes—
115#14519684—21no—
116#14519684—21no—
117#14519684—21no—
118#14519684—21no—
119#14519684—21no—
120#14519684—21no—
121#14519684—21no—
122C22×C8×C61C2311yescharacteristic
123C22×C8×C61C2311yescharacteristic
124C22×C8×C61C2311yescharacteristic
125C22×C8×C61C2311yescharacteristic
126C2×C4⋊C4×C61D411yescharacteristic
127C2×C4⋊C4×C61D411yescharacteristic
128C2×C42×C61C2311yescharacteristic
129C2×C42×C61C2311yescharacteristic
130C2×C42×C61C2311yescharacteristic
131C4⋊C8×C61C2×C414yescomplemented
132C4×C8×C61—22no—
133C4×C8×C61—22no—
134C4×C8×C61—22no—
135#95×C61D411yescharacteristic
136#95×C61D411yescharacteristic
137C23×D61—21no—
138C23×D61—21no—
139C22×C4×C61C2×D411yescharacteristic
140C22×C4×C61C2×D411yescharacteristic
141C22×C4×C61C2×D411yescharacteristic
142C22×C4×C61C2×D411yescharacteristic
143C22×C4×C61C2×D411yescharacteristic
144C22×C4×C61C2×D411yescharacteristic
145C22×C4×C61C2411yescharacteristic
146C22×Dic61—21no—
147C22×Dic61—21no—
148C22×Dic61—21no—
149C22×Dic61—21no—
150C22×Dic61—21no—
151C22×Dic61—21no—
152C2×D244—21no—
153C2×D244—21no—
154C2×D244—21no—
155C2×D244—21no—
156C2×D244—21no—
157C2×D244—21no—
158C2×D244—21no—
159C2×D244—21no—
160C2×D244C22×C412yes—
161C2×D244C22×C412yes—
162C2×D244C2×D412yes—
163C2×D244#4112yes—
164C2×C4×D61—24no—
165C2×C4×D61—42no—
166C2×C4×D61—42no—
167C2×C4×D61—42no—
168C2×C4×D61—42no—
169C2×C4×D61—42no—
170C2×C4×D61—42no—
171C2×C4×D61—81no—
172C2×C4×D61—81no—
173C2×C4×D61—81no—
174C2×C4×D61—81no—
175C2×C4×D61—81no—
176C2×Dic122—21no—
177C2×Dic122—21no—
178C2×Dic122—21no—
179C2×Dic122—21no—
180C2×Dic122—21no—
181C2×Dic122C22×C412yes—
182C2×C8×C61—21no—
183C2×C8×C61—21no—
184C2×C8×C61—21no—
185C2×C8×C61—21no—
186C2×C8×C61—21no—
187C2×C8×C61—21no—
188C2×C8×C61—21no—
189C2×C8×C61—21no—
190C2×C8×C61—21no—
191C2×C8×C61C22×C412yes—
192C2×C8×C61C22×C412yes—
193C2×C8×C61C2×D412yes—
194C4⋊C4×C61—22no—
195C4⋊C4×C61—22no—
196C42×C61—21no—
197C42×C61—21no—
198C42×C61—21no—
199C42×C61—21no—
200C42×C61C22×C412yes—
201C42×C61#4112yes—
202#11758198—24no—
203#11758198—24no—
204#11758198—24no—
205#11758198—42no—
206#11758198—42no—
207#11758198—42no—
208#11758198—42no—
209#11758198—81no—
210C4⋊Dic61—21no—
211C4⋊Dic61—21no—
212C4⋊Dic61—21no—
213C4⋊Dic61—21no—
214C4⋊Dic61—21no—
215C4⋊Dic61—21no—
216C4⋊Dic61—21no—
217C4⋊Dic61—21no—
218C4⋊Dic61C22×C412yes—
219C4⋊Dic61C2×D412yes—
220#11758196—42no—
221#11758196—81no—
222#11758196—81no—
223C4×Dic61—42no—
224C4×Dic61—81no—
225D488—28no—
226#11758190—28no—
227C23×C61C22×D411yescharacteristic
228C22×D61—22no—
229C22×D61—22no—
230C22×D61—22no—
231C22×D61—22no—
232C22×D61—41no—
233C22×D61—41no—
234C22×D61—41no—
235C22×D61—41no—
236C22×D61—41no—
237C22×D61—41no—
238C22×D61—41no—
239C22×D61—41no—
240C22×D61—41no—
241C22×D61—41no—
242C2×C4×C61—21no—
243C2×C4×C61—21no—
244C2×C4×C61—21no—
245C2×C4×C61—21no—
246C2×C4×C61—21no—
247C2×C4×C61—21no—
248C2×C4×C61—21no—
249C2×C4×C61—21no—
250C2×C4×C61—21no—
251C2×C4×C61—21no—
252C2×C4×C61—21no—
253C2×C4×C61—21no—
254C2×C4×C61—21no—
255C2×C4×C61—21no—
256C2×C4×C61C4×D412yes—
257C2×C4×C61C4×D412yes—
258C2×C4×C61#13512yes—
259C2×C4×C61#13512yes—
260C2×C4×C61C23×C411yescharacteristic
261C2×C4×C61C22×D411yescharacteristic
262C2×C4×C61C2×#4111yescharacteristic
263C2×C4×C61C2×#4111yescharacteristic
264C2×C4×C61H(5,𝔽2)11yescharacteristic
265C2×C4×C612−1+411yescharacteristic
266C2×Dic61—22no—
267C2×Dic61—22no—
268C2×Dic61—22no—
269C2×Dic61—41no—
270C2×Dic61—41no—
271C2×Dic61—41no—
272C2×Dic61—41no—
273C2×Dic61—41no—
274C2×Dic61—41no—
275C2×Dic61—41no—
276C2×Dic61—41no—
277C2×Dic61—41no—
278C2×Dic61—41no—
279C2×Dic61—41no—
280C2×Dic61—41no—
281C2×Dic61—41no—
282C2×Dic61—41no—
283C2×Dic61—41no—
284D244—22no—
285D244—22no—
286D244—22no—
287D244—22no—
288D244—22no—
289D244—41no—
290D244—41no—
291D244C4×D414yes—
292C4×D61—84no—
293C4×D61—84no—
294C4×D61—84no—
295C4×D61—84no—
296Dic122—22no—
297Dic122—22no—
298Dic122—41no—
299Dic122—41no—
300C8×C61—22no—
301C8×C61—22no—
302C8×C61—22no—
303C8×C61—41no—
304#22999—611nomaximal, Sylow
305C22×C61C2×C4×D411yescharacteristic
306C22×C61D4211yescharacteristic
307C22×C61#54811yescharacteristic
308C22×C61C2×#13511yescharacteristic
309C22×C61C2×#13511yescharacteristic
310C22×C61#57611yescharacteristic
311C22×C61#57711yescharacteristic
312C2×D61—24no—
313C2×D61—42no—
314C2×D61—42no—
315C2×D61—42no—
316C2×D61—42no—
317C2×D61—42no—
318C2×D61—42no—
319C2×D61—42no—
320C2×D61—42no—
321C2×D61—42no—
322C2×D61—81no—
323C2×D61—81no—
324C2×D61—81no—
325C2×D61—81no—
326C4×C61—22no—
327C4×C61—22no—
328C4×C61—22no—
329C4×C61—22no—
330C4×C61—41no—
331C4×C61—41no—
332C4×C61C2×C4×D411yescharacteristic
333C4×C61#52011yescharacteristic
334C4×C61#54711yescharacteristic
335C4×C61#55311yescharacteristic
336Dic61—42no—
337Dic61—42no—
338Dic61—42no—
339Dic61—81no—
340Dic61—81no—
341Dic61—81no—
342C2×#463—611no—
343C2×C4×SD16—611no—
344C2×C4×D8—611no—
345#2367—611no—
346#2349—611no—
347#1958—611no—
348#1949—611no—
349#1934—611no—
350#1933—611no—
351#1879—611no—
352#1877—611no—
353#1864—611no—
354#1863—611no—
355C8×C4⋊C4D6111yescharacteristic, complemented
356C4×#102—611no—
357C2×C61#236111yescharacteristic
358C2×C61C4×#13511yescharacteristic
359C2×C61#294611yescharacteristic
360C2×C61#328011yescharacteristic
361C2×C61#328211yescharacteristic
362C2×C61#336011yescharacteristic
363C2×C61#336111yescharacteristic
364D61—44no—
365D61—82no—
366C22×SD16—611no—
367C22×D8—611no—
368C2×#124—611no—
369C2×C4×Q8—611no—
370C2×C4×D4—611no—
371C2×C4×D4—611no—
372C2×C4×D4—611no—
373C2×C4×D4—611no—
374#463—618no—
375C4×SD16—1224no—
376C4×D8—1224no—
377C2×#107—611no—
378C2×#106—611no—
379C2×C4⋊C8C2×D6111yescharacteristic
380C2×#103—611no—
381C2×#103—611no—
382C2×#103—611no—
383C2×#102—611no—
384C2×#102—611no—
385C2×#102—611no—
386C2×#102—611no—
387C2×#102—611no—
388C2×C4×C8C2×D6111yescharacteristic
389C2×C4×C8C2×D6111yescharacteristic
390C2×C4×C8C2×D6111yescharacteristic
391#391—611no—
392#390—611no—
393#389—611no—
394#389—611no—
395#388—1221no—
396#388—1221no—
397#385—1221no—
398#385—1221no—
399#385—1221no—
400#382—611no—
401#380—1221no—
402C4×C4⋊C4—611no—
403C4×C4⋊C4C2×D6111yescharacteristic
404C4×C22⋊C4—1221no—
405C2×#95—1221no—
406#340—611no—
407#340—611no—
408#340—611no—
409#340—611no—
410#336C2×D6111yescharacteristic
411#336C2×D6111yescharacteristic
412C61#2299911yescharacteristic, complemented, Sylow
413C22×Q8—611no—
414C22×D4—611no—
415C22×D4—611no—
416C23×C4—1221no—
417C23×C4—1221no—
418C23×C4—1221no—
419C23×C4—1221no—
420C2×SD16—614no—
421C2×SD16—1222no—
422C2×SD16—1222no—
423C2×D8—614no—
424C2×D8—1222no—
425C2×D8—1222no—
426C22×C8C22×D6111yescharacteristic
427C22×C8C22×D6111yescharacteristic
428C22×C8C22×D6111yescharacteristic
429C22×C8C22×D6111yescharacteristic
430#124—614no—
431#124—1222no—
432C4×Q8—1222no—
433C4×Q8—2441no—
434C4×D4—614no—
435C4×D4—1222no—
436C4×D4—1222no—
437C4×D4—1222no—
438C4×D4—1222no—
439C4×D4—2441no—
440C4×D4—2441no—
441C4×D4—2441no—
442C2×C4⋊C4—611no—
443C2×C4⋊C4—611no—
444C2×C4⋊C4—611no—
445C2×C4⋊C4—611no—
446C2×C4⋊C4—611no—
447C2×C4⋊C4—1221no—
448C2×C4⋊C4—1221no—
449C2×C4⋊C4—1221no—
450C2×C4⋊C4D24411yescharacteristic
451C2×C4⋊C4D24411yescharacteristic
452C2×C22⋊C4—1221no—
453C2×C22⋊C4—1221no—
454C2×C22⋊C4—1221no—
455C2×C22⋊C4—1221no—
456C2×C22⋊C4—1221no—
457C2×C22⋊C4—1221no—
458C2×C22⋊C4—1221no—
459C2×C22⋊C4—1221no—
460C2×C42—1221no—
461C2×C42—1221no—
462C2×C42C22×D6111yescharacteristic
463C2×C42C22×D6111yescharacteristic
464C2×C42C22×D6111yescharacteristic
465#107—1222no—
466#106—1222no—
467C4⋊C8C4×D6114yescomplemented
468#103—614no—
469#103—1222no—
470#103—2441no—
471#102—614no—
472#102—614no—
473#102—1222no—
474#102—1222no—
475#102—2441no—
476C4×C8—22no—
477C4×C8—22no—
478C4×C8—22no—
479#95—1221no—
480#95—1221no—
481#95—1221no—
482#95—1221no—
483#95—1221no—
484#95—1221no—
485#95—1221no—
486#95D24411yescharacteristic
487#95D24411yescharacteristic
488C24—1221no—
489C24—1221no—
490C2×Q8—612no—
491C2×Q8—1221no—
492C2×Q8—1221no—
493C2×Q8—1221no—
494C2×Q8—1221no—
495C2×Q8—1221no—
496C2×D4—612no—
497C2×D4—612no—
498C2×D4—612no—
499C2×D4—612no—
500C2×D4—1221no—
501C2×D4—1221no—
502C2×D4—1221no—
503C2×D4—1221no—
504C2×D4—1221no—
505C2×D4—1221no—
506C2×D4—1221no—
507C2×D4—1221no—
508C22×C4—1221no—
509C22×C4—1221no—
510C22×C4—1221no—
511C22×C4—1224no—
512C22×C4—1221no—
513C22×C4—1221no—
514C22×C4—1221no—
515C22×C4—4881no—
516C22×C4—4881no—
517C22×C4—4881no—
518C22×C4—4881no—
519C22×C4—4881no—
520C22×C4—2442no—
521C22×C4—2442no—
522C22×C4—2442no—
523C22×C4—2442no—
524C22×C4—2442no—
525C22×C4—2442no—
526C22×C4C2×D24411yescharacteristic
527C22×C4C2×D24411yescharacteristic
528C22×C4C2×D24411yescharacteristic
529C22×C4C2×D24411yescharacteristic
530C22×C4C2×D24411yescharacteristic
531C22×C4C2×D24411yescharacteristic
532C22×C4C23×D6111yescharacteristic
533SD16—1228no—
534D8—1228no—
535C2×C8—21no—
536C2×C8—21no—
537C2×C8—21no—
538C2×C8—21no—
539C2×C8—21no—
540C2×C8—21no—
541C2×C8—21no—
542C2×C8—21no—
543C2×C8—21no—
544C2×C8C2×C4×D6112yes—
545C2×C8C2×C4×D6112yes—
546C2×C8D4×D6112yes—
547C4⋊C4—22no—
548C4⋊C4—22no—
549C4⋊C4—612no—
550C4⋊C4—612no—
551C4⋊C4—1221no—
552C4⋊C4—1221no—
553C4⋊C4—1221no—
554C4⋊C4—1221no—
555C4⋊C4—1221no—
556C4⋊C4—1221no—
557C4⋊C4—1221no—
558C4⋊C4—1221no—
559C4⋊C4—4881no—
560C4⋊C4—4881no—
561C4⋊C4—2442no—
562C22⋊C4—1224no—
563C22⋊C4—1224no—
564C22⋊C4—1224no—
565C22⋊C4—4881no—
566C22⋊C4—2442no—
567C22⋊C4—2442no—
568C22⋊C4—2442no—
569C22⋊C4—2442no—
570C42—21no—
571C42—21no—
572C42—21no—
573C42—21no—
574C42—4881no—
575C42—2442no—
576C42C2×C4×D6112yes—
577C42#1175822212yes—
578C23—1222no—
579C23—1222no—
580C23—1222no—
581C23—1222no—
582C23—2441no—
583C23—2441no—
584C23—2441no—
585C23—2441no—
586C23—2441no—
587C23—2441no—
588C23—2441no—
589C23—2441no—
590C23—2441no—
591C23—2441no—
592C23C22×D24411yescharacteristic
593Q8—1222no—
594Q8—1222no—
595Q8—2441no—
596Q8—2441no—
597D4—614no—
598D4—1222no—
599D4—1222no—
600D4—1222no—
601D4—1222no—
602D4—1222no—
603D4—2441no—
604D4—2441no—
605C2×C4—21no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—1222no—
620C2×C4—1222no—
621C2×C4—1222no—
622C2×C4—4884no—
623C2×C4—4884no—
624C2×C4—4884no—
625C2×C4—4884no—
626C2×C4—2441no—
627C2×C4—2441no—
628C2×C4—2441no—
629C2×C4—2441no—
630C2×C4—2441no—
631C2×C4—2441no—
632C2×C4—2441no—
633C2×C4—2441no—
634C2×C4—2441no—
635C2×C4—2441no—
636C2×C4—2441no—
637C2×C4—2441no—
638C2×C4—2441no—
639C2×C4—2441no—
640C2×C4—2441no—
641C2×C4C4×D24412yes—
642C2×C4C4×D24412yes—
643C2×C4#1451979912yes—
644C2×C4#1451979912yes—
645C2×C4C22×C4×D6111yescharacteristic
646C2×C4C2×D4×D6111yescharacteristic
647C2×C4#41×D6111yescharacteristic
648C2×C4C2×#1175822211yescharacteristic
649C2×C4#1451982311yescharacteristic
650C2×C4#1451982511yescharacteristic
651C8—22no—
652C8—22no—
653C8—22no—
654C8—41no—
655C22—1224no—
656C22—4881no—
657C22—4881no—
658C22—4881no—
659C22—4881no—
660C22—2442no—
661C22—2442no—
662C22—2442no—
663C22—2442no—
664C22—2442no—
665C22—2442no—
666C22—2442no—
667C22—2442no—
668C22—2442no—
669C22C2×C4×D24411yescharacteristic
670C22D4×D24411yescharacteristic
671C22#1684042411yescharacteristic
672C22C2×#1451979911yescharacteristic
673C22C2×#1451979911yescharacteristic
674C22#1684056711yescharacteristic
675C22#1684057411yescharacteristic
676C4—22no—
677C4—22no—
678C4—22no—
679C4—22no—
680C4—41no—
681C4—41no—
682C4—4881no—
683C4—4881no—
684C4—4881no—
685C4—2442no—
686C4—2442no—
687C4—2442no—
688C4C4×D4×D6111yescharacteristic
689C4#1684024411yescharacteristic
690C4#1684041311yescharacteristic
691C4#1684045611yescharacteristic
692C2—4882no—
693C2—2444no—
694C2#2144883711yescharacteristic
695C2C4×#1451979911yescharacteristic
696C2#2145465311yescharacteristic
697C2#2145750611yescharacteristic
698C2#2145753111yescharacteristic
699C2#2145847011yescharacteristic
700C2#2145848111yescharacteristic
subgroupG/H
centerC23C22×D244
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC8×C4⋊C4×C61C2
socleC23×C61C22×D4
prime radicalC22×D488C22
cosocleC22×C4×C61C24
hypercenterC8×C4⋊C4D61
hypocenterC61#22999
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C4×C4⋊C4 ◁ C8×C4⋊C4

Complements

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

NH ≅ G/Ntype
2. C2×C4×#11758190C2semidirect
4. #21448888C2semidirect
5. #21448730C2semidirect
6. #21446630C2semidirect
7. #21446589C2semidirect
8. #21446502C2semidirect
9. #21446495C2semidirect
11. #21446152C2semidirect
12. #21446083C2semidirect
13. #21446076C2semidirect
14. C4×#14519699C2semidirect
15. C8×C4⋊C4×C61C2semidirect
24. #16839978C4semidirect
71. C2×#11758190C2×C4semidirect
76. #14519765C2×C4semidirect
86. C4×D244C2×C4semidirect
109. #14519702C2×C4semidirect
113. #14519699C2×C4semidirect
131. C4⋊C8×C61C2×C4semidirect
355. C8×C4⋊C4D61semidirect
412. C61#22999semidirect
467. C4⋊C8C4×D61semidirect

Maximal subgroups

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

subgroupindex
C2×#168399782
C2×C4×#117581902
C2×C4×D4882
#214488882
#214487302
#214466302
#214465892
#214465022
#214464952
#214461662
#214461522
#214460832
#214460762
C4×#145196992
C8×C4⋊C4×C612
#2299961