Finite Group Databasebeta

← #16956304

Subgroups — #16956304

Order 4352.

2510 conjugacy classes of subgroups.

The subgroup lattice has 706 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C4⋊C4×D17C211yesmaximal, characteristic
2C2×#11762683C212yesmaximal
3C2×#11762680C212yesmaximal
4C2×#11762678C212yesmaximal, complemented
5C2×#11762668C211yesmaximal, characteristic
6C2×#11762656C211yesmaximal, characteristic
7#14527049C211yesmaximal, characteristic, complemented
8#14527048C211yesmaximal, characteristic, complemented
9#14527047C211yesmaximal, characteristic, complemented
10#14527012C212yesmaximal, complemented
11C17×#1444C211yesmaximal, characteristic, complemented
12C23×C4×D17C2212yes—
13C23×C4×D17C2211yescharacteristic
14C22×C4⋊Dic17C2211yescharacteristic
15C22×C4⋊Dic17C2212yes—
16C22×#63225C2211yescharacteristic
17C22×#63225C2211yescharacteristic
18C22×#63225C2212yes—
19C22×#63225C2212yes—
20C22×#63225C2212yes—
21C2×C4⋊C4×D17—28no—
22C2×C4⋊C4×D17—24no—
23C22×#63227C2211yescharacteristic
24C22×#63227C2211yescharacteristic
25C22×#63227C2212yes—
26C22×C4×Dic17C2212yes—
27#11762683—28no—
28#11762680—28no—
29#11762678—28no—
30#11762668—24no—
31#11762656C418yescomplemented
32C2×#10587502C2212yes—
33C2×#10587502C2212yes—
34C2×#10587502C2212yes—
35C2×#10587502C2211yescharacteristic
36C2×#10587502C2211yescharacteristic
37C22×C4⋊C4×C17C2211yescharacteristic
38C22×C4⋊C4×C17C2212yes—
39C2×C17×#95C2212yes—
40C2×C17×#95C2211yescharacteristic
41C2×C17×#95C2211yescharacteristic
42C24×D17C2311yescharacteristic
43C23×C4×C17C2311yescharacteristic
44C23×C4×C17C2311yescharacteristic
45C23×C4×C17C2312yes—
46C23×C4×C17C2312yes—
47C23×C4×C17C2311yescharacteristic
48C23×Dic17C2311yescharacteristic
49C23×Dic17C2311yescharacteristic
50C23×Dic17C2312yes—
51C23×Dic17C2312yes—
52C23×Dic17C2311yescharacteristic
53C22×C4×D17—24no—
54C22×C4×D17—24no—
55C22×C4×D17—24no—
56C22×C4×D17—24no—
57C22×C4×D17—24no—
58C22×C4×D17—24no—
59C22×C4×D17—24no—
60C22×C4×D17—42no—
61C22×C4×D17—42no—
62C22×C4×D17C2×C414yes—
63C22×C4×D17D414yes—
64C22×C4×D17Q814yes—
65C2×C4⋊C4×C17—24no—
66C2×C4⋊C4×C17—22no—
67C2×C4⋊C4×C17—24no—
68C2×C4⋊C4×C17—24no—
69C2×C4⋊C4×C17—42no—
70C2×#63227—22no—
71C2×#63227—22no—
72C2×#63227—24no—
73C2×#63227—24no—
74C2×#63227C2×C418yes—
75C2×#63227D418yes—
76C2×#63227Q818yes—
77C2×C4⋊Dic17—22no—
78C2×C4⋊Dic17—24no—
79C2×C4⋊Dic17—24no—
80C2×C4⋊Dic17—24no—
81C2×C4⋊Dic17—42no—
82C2×#63225—24no—
83C2×#63225—24no—
84C2×#63225—24no—
85C2×#63225—22no—
86C2×#63225—22no—
87C2×#63225—24no—
88C2×#63225—24no—
89C2×#63225—24no—
90C2×#63225—24no—
91C2×#63225—24no—
92C2×#63225—42no—
93C2×#63225—42no—
94C2×#63225D418yes—
95C2×C4×Dic17—24no—
96C2×C4×Dic17—24no—
97C2×C4×Dic17C2×C418yescomplemented
98C4⋊C4×D17—232no—
99C17×#95—22no—
100C17×#95—24no—
101C17×#95C2×C414yescomplemented
102#10587502—22no—
103#10587502—24no—
104#10587502—24no—
105#10587502—24no—
106#10587502C2×C414yescomplemented
107C24×C17C2411yescharacteristic
108C23×D17—22no—
109C23×D17—22no—
110C23×D17—21no—
111C23×D17—21no—
112C23×D17—21no—
113C23×D17—21no—
114C23×D17C22×C412yes—
115C23×D17C2×D412yes—
116C23×D17C2×D414yes—
117C23×D17C2×Q812yes—
118C23×D17C2×Q814yes—
119C22×C4×C17—22no—
120C22×C4×C17—22no—
121C22×C4×C17—22no—
122C22×C4×C17—22no—
123C22×C4×C17—22no—
124C22×C4×C17—22no—
125C22×C4×C17—22no—
126C22×C4×C17—22no—
127C22×C4×C17—22no—
128C22×C4×C17—22no—
129C22×C4×C17—22no—
130C22×C4×C17—22no—
131C22×C4×C17—22no—
132C22×C4×C17—21no—
133C22×C4×C17—21no—
134C22×C4×C17—22no—
135C22×C4×C17—22no—
136C22×C4×C17—22no—
137C22×C4×C17—21no—
138C22×C4×C17—21no—
139C22×C4×C17—21no—
140C22×C4×C17—21no—
141C22×C4×C17C22×C412yes—
142C22×C4×C17C22×C414yes—
143C22×C4×C17C2×D414yes—
144C22×C4×C17C2×D412yes—
145C22×C4×C17C2×D414yes—
146C22×C4×C17C2×Q812yes—
147C22×C4×C17C2×Q814yes—
148C22×Dic17—22no—
149C22×Dic17—22no—
150C22×Dic17—22no—
151C22×Dic17—22no—
152C22×Dic17—22no—
153C22×Dic17—22no—
154C22×Dic17—22no—
155C22×Dic17—22no—
156C22×Dic17—22no—
157C22×Dic17—22no—
158C22×Dic17—22no—
159C22×Dic17—21no—
160C22×Dic17—21no—
161C22×Dic17—22no—
162C22×Dic17—22no—
163C22×Dic17—22no—
164C22×Dic17—21no—
165C22×Dic17—21no—
166C22×Dic17—21no—
167C22×Dic17—21no—
168C22×Dic17C22×C414yes—
169C22×Dic17C22×C412yes—
170C22×Dic17C2×D414yes—
171C22×Dic17C2×D414yes—
172C22×Dic17C2×D412yes—
173C22×Dic17C2×D414yes—
174C22×Dic17C2×Q814yes—
175C22×Dic17C2×Q812yes—
176C22×Dic17#4114yes—
177C2×C4×D17—216no—
178C2×C4×D17—28no—
179C2×C4×D17—216no—
180C2×C4×D17—28no—
181C2×C4×D17—216no—
182C2×C4×D17—48no—
183C2×C4×D17—48no—
184C2×C4×D17—48no—
185C2×C4×D17—48no—
186C2×C4×D17—48no—
187C2×C4×D17—48no—
188C2×C4×D17C4⋊C4116yescomplemented
189C4⋊C4×C17—28no—
190C4⋊C4×C17—48no—
191#63227—44no—
192#63227—44no—
193#63227C4⋊C4132yescomplemented
194C4⋊Dic17—28no—
195C4⋊Dic17—48no—
196#63225—216no—
197#63225—48no—
198#63225—48no—
199#63225—44no—
200#63225—44no—
201C4×Dic17—216no—
202#13880—171nomaximal, Sylow
203C23×C17C23×C411yescharacteristic
204C23×C17C22×D411yescharacteristic
205C23×C17C22×D412yes—
206C23×C17C22×D412yes—
207C23×C17C22×Q811yescharacteristic
208C23×C17C22×Q812yes—
209C23×C17C2×#4112yes—
210C23×C17H(5,𝔽2)11yescharacteristic
211C23×C17H(5,𝔽2)11yescharacteristic
212C23×C172−1+411yescharacteristic
213C23×C172−1+411yescharacteristic
214C22×D17—24no—
215C22×D17—22no—
216C22×D17—22no—
217C22×D17—22no—
218C22×D17—24no—
219C22×D17—22no—
220C22×D17—22no—
221C22×D17—22no—
222C22×D17—22no—
223C22×D17—22no—
224C22×D17—24no—
225C22×D17—24no—
226C22×D17—24no—
227C22×D17—24no—
228C22×D17—24no—
229C22×D17—24no—
230C22×D17—24no—
231C22×D17—24no—
232C22×D17C2×C4⋊C414yes—
233C22×D17C2×C4⋊C418yes—
234C22×D17#12714yes—
235C22×D17C4⋊Q814yes—
236C22×D17C4⋊Q818yes—
237C2×C4×C17—24no—
238C2×C4×C17—24no—
239C2×C4×C17—24no—
240C2×C4×C17—22no—
241C2×C4×C17—24no—
242C2×C4×C17—22no—
243C2×C4×C17—24no—
244C2×C4×C17—24no—
245C2×C4×C17—24no—
246C2×C4×C17—24no—
247C2×C4×C17—24no—
248C2×C4×C17—24no—
249C2×C4×C17—24no—
250C2×C4×C17—42no—
251C2×C4×C17—42no—
252C2×C4×C17—42no—
253C2×C4×C17—42no—
254C2×C4×C17—41no—
255C2×C4×C17—41no—
256C2×C4×C17—41no—
257C2×C4×C17—41no—
258C2×C4×C17—41no—
259C2×C4×C17—41no—
260C2×C4×C17—42no—
261C2×C4×C17—42no—
262C2×C4×C17—42no—
263C2×C4×C17—42no—
264C2×C4×C17C2×C4⋊C414yes—
265C2×C4×C17C2×C4⋊C418yescomplemented
266C2×Dic17—24no—
267C2×Dic17—24no—
268C2×Dic17—24no—
269C2×Dic17—24no—
270C2×Dic17—24no—
271C2×Dic17—24no—
272C2×Dic17—24no—
273C2×Dic17—24no—
274C2×Dic17—24no—
275C2×Dic17—42no—
276C2×Dic17—42no—
277C2×Dic17—42no—
278C2×Dic17—42no—
279C2×Dic17—41no—
280C2×Dic17—41no—
281C2×Dic17—41no—
282C2×Dic17—41no—
283C2×Dic17—41no—
284C2×Dic17—41no—
285C2×Dic17—42no—
286C2×Dic17—42no—
287C2×Dic17—42no—
288C2×Dic17—42no—
289C2×Dic17C2×C4⋊C414yes—
290C2×Dic17C2×C4⋊C418yescomplemented
291C2×Dic17C4×D418yes—
292C2×Dic17#12014yes—
293C2×Dic17C22⋊Q818yes—
294C2×Dic17#12314yes—
295C4×D17—232no—
296C4×D17—432no—
297C23×C4⋊C4—171no—
298C2×#385—172no—
299C2×#385—172no—
300C2×#384—172no—
301C2×#380—171no—
302C2×C4×C22⋊C4—171no—
303#1444—171no—
304#1444—171no—
305#1444—171no—
306#1444D1711yescharacteristic, complemented
307C4⋊#95—172no—
308C22×C17C22×C4⋊C411yescharacteristic
309C22×C17C22×C4⋊C412yes—
310C22×C17C2×C4×D412yes—
311C22×C17#52011yescharacteristic
312C22×C17#52011yescharacteristic
313C22×C17C2×#12011yescharacteristic
314C22×C17C2×C22⋊Q812yes—
315C22×C17C2×#12311yescharacteristic
316C22×C17C2×#12711yescharacteristic
317C22×C17C2×C4⋊Q811yescharacteristic
318C22×C17C2×C4⋊Q812yes—
319C22×C17#53511yescharacteristic
320C22×C17#53611yescharacteristic
321C22×C17#54411yescharacteristic
322C22×C17#54411yescharacteristic
323C22×C17D4212yes—
324C22×C17D4212yes—
325C22×C17#54712yes—
326C22×C17#54712yes—
327C22×C17D4×Q812yes—
328C22×C17D4×Q812yes—
329C22×C17#55412yes—
330C22×C17#55412yes—
331C2×D17—24no—
332C2×D17—28no—
333C2×D17—28no—
334C2×D17—24no—
335C2×D17—24no—
336C2×D17—28no—
337C2×D17—28no—
338C2×D17—24no—
339C2×D17—24no—
340C2×D17—24no—
341C2×D17#38418yescomplemented
342C4×C17—28no—
343C4×C17—24no—
344C4×C17—44no—
345C4×C17—81no—
346C4×C17—81no—
347Dic17—28no—
348Dic17—44no—
349Dic17—81no—
350Dic17—81no—
351Dic17#38518yescomplemented
352C24×C4—171no—
353C24×C4—172no—
354C22×C4⋊C4—172no—
355C22×C4⋊C4—171no—
356C22×C4⋊C4—171no—
357C22×C4⋊C4—171no—
358C22×C4⋊C4—172no—
359C22×C4⋊C4—172no—
360C22×C4⋊C4—172no—
361C22×C4⋊C4—348no—
362C22×C4⋊C4—344no—
363C22×C4⋊C4C2×D1711yescharacteristic
364C22×C4⋊C4C2×D1712yes—
365C22×C22⋊C4—172no—
366C22×C22⋊C4—171no—
367C22×C22⋊C4—171no—
368C22×C42—172no—
369#385—348no—
370#385—348no—
371#384—348no—
372#380—344no—
373C4×C22⋊C4—178no—
374C2×#95—171no—
375C2×#95—172no—
376C2×#95—172no—
377C2×#95—172no—
378C2×#95—171no—
379C2×#95C2×D1712yes—
380C2×#95C2×D1711yescharacteristic
381C2×#95C2×D1711yescharacteristic
382C2×C17C2×#38411yescharacteristic
383C2×C17C2×#38511yescharacteristic
384C2×C17#231711yescharacteristic
385C2×C17D4×C4⋊C412yes—
386C2×C17D4×C4⋊C412yes—
387C2×C17#243311yescharacteristic
388C2×C17#243411yescharacteristic
389C2×C17#244012yes—
390C2×C17#244012yes—
391C2×C17#250111yescharacteristic
392C2×C17#250211yescharacteristic
393D17—28no—
394C25—171no—
395C23×C4—171no—
396C23×C4—172no—
397C23×C4—174no—
398C23×C4—174no—
399C23×C4—174no—
400C23×C4—172no—
401C23×C4—171no—
402C23×C4—171no—
403C23×C4—344no—
404C23×C4—344no—
405C23×C4—344no—
406C23×C4—344no—
407C23×C4—344no—
408C23×C4—344no—
409C23×C4—344no—
410C23×C4—682no—
411C23×C4—682no—
412C23×C4C22×D1711yescharacteristic
413C23×C4C22×D1711yescharacteristic
414C23×C4C22×D1712yes—
415C23×C4C22×D1712yes—
416C23×C4C22×D1711yescharacteristic
417C2×C4⋊C4—24no—
418C2×C4⋊C4—22no—
419C2×C4⋊C4—24no—
420C2×C4⋊C4—24no—
421C2×C4⋊C4—42no—
422C2×C4⋊C4—178no—
423C2×C4⋊C4—3432no—
424C2×C4⋊C4—344no—
425C2×C4⋊C4—344no—
426C2×C4⋊C4—344no—
427C2×C4⋊C4—342no—
428C2×C4⋊C4—342no—
429C2×C4⋊C4—342no—
430C2×C4⋊C4—344no—
431C2×C4⋊C4—344no—
432C2×C4⋊C4—344no—
433C2×C4⋊C4—344no—
434C2×C4⋊C4—344no—
435C2×C4⋊C4—344no—
436C2×C4⋊C4—344no—
437C2×C4⋊C4—344no—
438C2×C4⋊C4—682no—
439C2×C4⋊C4—682no—
440C2×C4⋊C4—682no—
441C2×C22⋊C4—178no—
442C2×C22⋊C4—178no—
443C2×C22⋊C4—178no—
444C2×C22⋊C4—342no—
445C2×C22⋊C4—342no—
446C2×C22⋊C4—344no—
447C2×C22⋊C4—344no—
448C2×C42—178no—
449C2×C42—344no—
450C2×C42—344no—
451#95—22no—
452#95—24no—
453#95—174no—
454#95—344no—
455#95—344no—
456#95—342no—
457#95—344no—
458#95C4×D1714yescomplemented
459C17#1388011yescharacteristic, complemented, Sylow
460C24—172no—
461C24—174no—
462C24—172no—
463C24—174no—
464C24—172no—
465C24—342no—
466C24—341no—
467C24—341no—
468C24—342no—
469C24—341no—
470C24—341no—
471C24C23×D1711yescharacteristic
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—22no—
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—172no—
495C22×C4—174no—
496C22×C4—172no—
497C22×C4—172no—
498C22×C4—174no—
499C22×C4—174no—
500C22×C4—174no—
501C22×C4—174no—
502C22×C4—1716no—
503C22×C4—174no—
504C22×C4—348no—
505C22×C4—3416no—
506C22×C4—3416no—
507C22×C4—348no—
508C22×C4—3416no—
509C22×C4—342no—
510C22×C4—342no—
511C22×C4—342no—
512C22×C4—342no—
513C22×C4—342no—
514C22×C4—342no—
515C22×C4—342no—
516C22×C4—342no—
517C22×C4—342no—
518C22×C4—342no—
519C22×C4—342no—
520C22×C4—341no—
521C22×C4—341no—
522C22×C4—342no—
523C22×C4—342no—
524C22×C4—341no—
525C22×C4—341no—
526C22×C4—342no—
527C22×C4—341no—
528C22×C4—341no—
529C22×C4—688no—
530C22×C4—688no—
531C22×C4—688no—
532C22×C4—688no—
533C22×C4—688no—
534C22×C4—688no—
535C22×C4C2×C4×D1712yes—
536C22×C4C2×C4×D1714yes—
537C22×C4D4×D1714yes—
538C22×C4D4×D1712yes—
539C22×C4D4×D1714yes—
540C22×C4Q8×D1712yes—
541C22×C4Q8×D1714yes—
542C4⋊C4—28no—
543C4⋊C4—48no—
544C4⋊C4—3416no—
545C4⋊C4—348no—
546C4⋊C4—688no—
547C4⋊C4—688no—
548C4⋊C4—684no—
549C4⋊C4—684no—
550C4⋊C4—688no—
551C22⋊C4—1732no—
552C22⋊C4—684no—
553C22⋊C4—684no—
554C42—3416no—
555C23—178no—
556C23—174no—
557C23—174no—
558C23—174no—
559C23—178no—
560C23—344no—
561C23—344no—
562C23—344no—
563C23—344no—
564C23—344no—
565C23—344no—
566C23—344no—
567C23—342no—
568C23—342no—
569C23—342no—
570C23—344no—
571C23—342no—
572C23—342no—
573C23—342no—
574C23—342no—
575C23—342no—
576C23—344no—
577C23—344no—
578C23C22×C4×D1711yescharacteristic
579C23C2×D4×D1712yes—
580C23C2×D4×D1712yes—
581C23C2×D4×D1711yescharacteristic
582C23#1058769111yescharacteristic
583C23C2×Q8×D1712yes—
584C23C2×Q8×D1711yescharacteristic
585C23#1058769411yescharacteristic
586C23#41×D1712yes—
587C23#1058769611yescharacteristic
588C23#1058769711yescharacteristic
589C2×C4—24no—
590C2×C4—24no—
591C2×C4—24no—
592C2×C4—24no—
593C2×C4—24no—
594C2×C4—24no—
595C2×C4—22no—
596C2×C4—24no—
597C2×C4—22no—
598C2×C4—24no—
599C2×C4—24no—
600C2×C4—24no—
601C2×C4—24no—
602C2×C4—42no—
603C2×C4—42no—
604C2×C4—42no—
605C2×C4—42no—
606C2×C4—42no—
607C2×C4—42no—
608C2×C4—41no—
609C2×C4—41no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—42no—
615C2×C4—42no—
616C2×C4—174no—
617C2×C4—178no—
618C2×C4—174no—
619C2×C4—178no—
620C2×C4—174no—
621C2×C4—178no—
622C2×C4—3432no—
623C2×C4—344no—
624C2×C4—344no—
625C2×C4—344no—
626C2×C4—344no—
627C2×C4—344no—
628C2×C4—344no—
629C2×C4—344no—
630C2×C4—344no—
631C2×C4—344no—
632C2×C4—6832no—
633C2×C4—682no—
634C2×C4—682no—
635C2×C4—682no—
636C2×C4—682no—
637C2×C4—682no—
638C2×C4—682no—
639C2×C4—681no—
640C2×C4—681no—
641C2×C4—681no—
642C2×C4—681no—
643C2×C4—681no—
644C2×C4—681no—
645C2×C4—682no—
646C2×C4—682no—
647C2×C4C4⋊C4×D1714yes—
648C2×C4C4⋊C4×D1718yescomplemented
649C22—178no—
650C22—344no—
651C22—344no—
652C22—344no—
653C22—348no—
654C22—348no—
655C22—344no—
656C22—348no—
657C22—348no—
658C22—344no—
659C22—344no—
660C22C2×C4⋊C4×D1711yescharacteristic
661C22C2×C4⋊C4×D1712yes—
662C22C4×D4×D1712yes—
663C22#1176328811yescharacteristic
664C22#1176329111yescharacteristic
665C22#120×D1711yescharacteristic
666C22C22⋊Q8×D1712yes—
667C22#123×D1711yescharacteristic
668C22#127×D1711yescharacteristic
669C22C4⋊Q8×D1711yescharacteristic
670C22C4⋊Q8×D1712yes—
671C22#1176337511yescharacteristic
672C22#1176338211yescharacteristic
673C22#1176343611yescharacteristic
674C22#1176343911yescharacteristic
675C22#1176344112yes—
676C22#1176344312yes—
677C22#1176345712yes—
678C22#1176346112yes—
679C22#1176347212yes—
680C22#1176347412yes—
681C22#1176351312yes—
682C22#1176351512yes—
683C4—28no—
684C4—24no—
685C4—44no—
686C4—81no—
687C4—81no—
688C4—178no—
689C4—348no—
690C4—684no—
691C4—1361no—
692C4—1361no—
693C2—348no—
694C2D17×#38411yescharacteristic
695C2D17×#38511yescharacteristic
696C2#1453140611yescharacteristic
697C2#1453168212yes—
698C2#1453168512yes—
699C2#1453241611yescharacteristic
700C2#1453242311yescharacteristic
701C2#1453247912yes—
702C2#1453248112yes—
703C2#1453325011yescharacteristic
704C2#1453325711yescharacteristic
subgroupG/H
center, FrattiniC24C23×D17
commutatorC23×C17C23×C4
FittingC17×#1444C2
socle, cosocleC24×C17C24
prime radicalC24×D17C23
hypercenter#1444D17
hypocenterC17#13880
LCSG ▷ C23×C17 ▷ C17
UCSC1 ◁ C24 ◁ #1444

Complements

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

NH ≅ G/Ntype
4. C2×#11762678C2semidirect
7. #14527049C2semidirect
8. #14527048C2semidirect
9. #14527047C2semidirect
10. #14527012C2semidirect
11. C17×#1444C2semidirect
31. #11762656C4semidirect
97. C2×C4×Dic17C2×C4semidirect
101. C17×#95C2×C4semidirect
106. #10587502C2×C4semidirect
188. C2×C4×D17C4⋊C4semidirect
193. #63227C4⋊C4semidirect
265. C2×C4×C17C2×C4⋊C4semidirect
290. C2×Dic17C2×C4⋊C4semidirect
306. #1444D17semidirect
341. C2×D17#384semidirect
351. Dic17#385semidirect
458. #95C4×D17semidirect
459. C17#13880semidirect
648. C2×C4C4⋊C4×D17semidirect

Maximal subgroups

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

subgroupindex
C22×C4⋊C4×D172
C2×#117626832
C2×#117626802
C2×#117626782
C2×#117626682
C2×#117626562
#145270492
#145270482
#145270472
#145270122
C17×#14442
#1388017