Finite Group Databasebeta

← #17052655

Subgroups — #17052655

Order 4352.

1086 conjugacy classes of subgroups.

The subgroup lattice has 696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11762919C211yesmaximal, characteristic
2C2×#11762919C211yesmaximal, characteristic
3C2×C4×#63228C211yesmaximal, characteristic
4#14531695C211yesmaximal, characteristic, complemented
5#14529524C211yesmaximal, characteristic, complemented
6#14529509C211yesmaximal, characteristic, complemented
7#14529045C211yesmaximal, characteristic, complemented
8#14529044C211yesmaximal, characteristic, complemented
9#14529031C211yesmaximal, characteristic, complemented
10#14529030C211yesmaximal, characteristic, complemented
11#14528950C211yesmaximal, characteristic, complemented
12#14528794C211yesmaximal, characteristic, complemented
13#14528781C211yesmaximal, characteristic, complemented
14#14528659C211yesmaximal, characteristic, complemented
15D4×C4⋊C4×C17C211yesmaximal, characteristic, complemented
16C22×#63228C2211yescharacteristic
17C2×C4×D68C2211yescharacteristic
18C2×C4×D68C2211yescharacteristic
19C2×C4×D68C2211yescharacteristic
20#11762919—24no—
21#11762919C418yescomplemented
22C4×#63228—24no—
23C2×#10587478C2211yescharacteristic
24C2×#10587478C2211yescharacteristic
25C2×#10587479C2211yescharacteristic
26C2×#10587479C2211yescharacteristic
27C2×#10587479C2211yescharacteristic
28C2×C4⋊#3622C2211yescharacteristic
29C2×#10587503C2211yescharacteristic
30C2×#10587503C2211yescharacteristic
31C2×#10587503C2211yescharacteristic
32C2×#10587480C2211yescharacteristic
33C2×#10587480C2211yescharacteristic
34C2×#10587480C2211yescharacteristic
35C2×#10587474C2211yescharacteristic
36C2×#10587474C2211yescharacteristic
37C2×C4×#3622C2211yescharacteristic
38#11762707C2211yescharacteristic
39#11762707C2211yescharacteristic
40#11762680—21no—
41#11762680—21no—
42#11762675C2211yescharacteristic
43#11762668—21no—
44#95×D17—21no—
45#11762571C2211yescharacteristic
46#11762571C2211yescharacteristic
47#11762571C2211yescharacteristic
48#11762571C2211yescharacteristic
49#11762564C2211yescharacteristic
50#11762564C2211yescharacteristic
51C2×C4×D4×C17C2211yescharacteristic
52C2×C4×D4×C17C2211yescharacteristic
53C2×C4×D4×C17C2211yescharacteristic
54C22×C4⋊C4×C17—21no—
55C17×#389C2211yescharacteristic
56C17×#389C2211yescharacteristic
57C17×#385—21no—
58C17×#385—21no—
59C17×#384C2211yescharacteristic
60C17×#380—21no—
61C4×C4⋊C4×C17C2211yescharacteristic
62C22×D4×C17C2311yescharacteristic
63C23×C4×C17—21no—
64C23×C4×C17—21no—
65C23×C4×C17—21no—
66C22×D68C2311yescharacteristic
67C22×C4×D17—21no—
68C22×C4×D17—21no—
69C22×C4×D17—21no—
70C4×D4×C17—22no—
71C4×D4×C17—22no—
72C4×D4×C17—22no—
73C4×D4×C17—41no—
74C4×D4×C17—41no—
75C4×D4×C17C2×C414yescomplemented
76C2×C4⋊C4×C17—21no—
77C2×C4⋊C4×C17—21no—
78C2×C4⋊C4×C17—21no—
79C2×C4⋊C4×C17—21no—
80C2×C4⋊C4×C17—44no—
81C2×C4⋊C4×C17D411yescharacteristic
82C2×C4⋊C4×C17D411yescharacteristic
83C2×C4⋊C4×C17C2311yescharacteristic
84C2×C4⋊C4×C17C2311yescharacteristic
85C2×C4⋊C4×C17C2311yescharacteristic
86C2×C22⋊C4×C17—21no—
87C2×C22⋊C4×C17—21no—
88C2×C22⋊C4×C17—21no—
89C2×C42×C17C2311yescharacteristic
90C2×C42×C17C2311yescharacteristic
91C2×C42×C17C2311yescharacteristic
92C2×#63228C2×C414yes—
93C2×#63228D414yes—
94C2×#63228Q814yes—
95C2×#63227—21no—
96C2×#63227—21no—
97C2×#63227—21no—
98C2×C4⋊Dic17C2311yescharacteristic
99C2×C4⋊Dic17C2311yescharacteristic
100C2×C4⋊Dic17C2311yescharacteristic
101C2×#63225—21no—
102C2×#63225—21no—
103C22×#3622C2311yescharacteristic
104C22×#3622C2311yescharacteristic
105C22×#3622C2311yescharacteristic
106C22×#3622C2311yescharacteristic
107C4×D68—22no—
108C4×D68—22no—
109C4×D68—22no—
110C4×D68—41no—
111C4×D68—41no—
112C4×D68C2×C414yescomplemented
113C17×#95—21no—
114C17×#95—21no—
115C17×#95D411yescharacteristic
116C17×#95D411yescharacteristic
117#10587503—22no—
118#10587503—22no—
119#10587503C2×C414yescomplemented
120#10587502—21no—
121#10587502—21no—
122#10587502—21no—
123#10587502—21no—
124#10587480—22no—
125#10587480—22no—
126#10587480C2×C414yescomplemented
127#10587479—22no—
128#10587479—41no—
129#10587479C2×C414yescomplemented
130#10587478—22no—
131#10587478—41no—
132C4⋊#3622—22no—
133#10587474—22no—
134#10587474C2×C414yescomplemented
135C4×#3622—22no—
136C24×C17—21no—
137C23×D17—21no—
138C2×D4×C17—21no—
139C2×D4×C17—21no—
140C2×D4×C17—21no—
141C2×D4×C17C22×C412yes—
142C2×D4×C17C2×D412yes—
143C2×D4×C17C2×Q812yes—
144C22×C4×C17—21no—
145C22×C4×C17—24no—
146C22×C4×C17—21no—
147C22×C4×C17—21no—
148C22×C4×C17—42no—
149C22×C4×C17—42no—
150C22×C4×C17—42no—
151C22×C4×C17—42no—
152C22×C4×C17—42no—
153C22×C4×C17—42no—
154C22×C4×C17—81no—
155C22×C4×C17—81no—
156C22×C4×C17C2×D411yescharacteristic
157C22×C4×C17C2×D411yescharacteristic
158C22×C4×C17C2×D411yescharacteristic
159C22×C4×C17C2×D411yescharacteristic
160C22×C4×C17C2×D411yescharacteristic
161C22×C4×C17C2×D411yescharacteristic
162C22×C4×C17C2411yescharacteristic
163C22×Dic17—21no—
164C22×Dic17—21no—
165C22×Dic17—21no—
166C2×D68—21no—
167C2×D68—21no—
168C2×D68—21no—
169C2×D68C22×C412yes—
170C2×D68C2×D412yes—
171C2×D68C2×Q812yes—
172C2×C4×D17—24no—
173C2×C4×D17—42no—
174C2×C4×D17—42no—
175C2×C4×D17—42no—
176C2×C4×D17—42no—
177C2×C4×D17—81no—
178C2×C4×D17—81no—
179C2×C4×D17—81no—
180C2×C4×D17—81no—
181C4⋊C4×C17—22no—
182C4⋊C4×C17—21no—
183C4⋊C4×C17—21no—
184C4⋊C4×C17—21no—
185C4⋊C4×C17—21no—
186C4⋊C4×C17—21no—
187C4⋊C4×C17—41no—
188C4⋊C4×C17—42no—
189C4⋊C4×C17—42no—
190C4⋊C4×C17—42no—
191C4⋊C4×C17—81no—
192C4⋊C4×C17C22×C412yes—
193C22⋊C4×C17—24no—
194C22⋊C4×C17—42no—
195C22⋊C4×C17—42no—
196C42×C17—21no—
197C42×C17—21no—
198C42×C17—21no—
199C42×C17—21no—
200C42×C17C22×C412yes—
201C42×C17#4112yes—
202#63228C4⋊C4116yescomplemented
203#63227—24no—
204#63227—42no—
205#63227—42no—
206C4⋊Dic17—21no—
207C4⋊Dic17—21no—
208C4⋊Dic17—21no—
209C4⋊Dic17—21no—
210C4⋊Dic17—21no—
211C4⋊Dic17C22×C412yes—
212#63225—81no—
213#63225—81no—
214C2×#3622—21no—
215C2×#3622—21no—
216C2×#3622—21no—
217C2×#3622—21no—
218C2×#3622—21no—
219C2×#3622—21no—
220C2×#3622—21no—
221C2×#3622—21no—
222C2×#3622C22×C412yes—
223C2×#3622C22×C412yes—
224C2×#3622C2×D412yes—
225C2×#3622C2×Q812yes—
226#22676—171nomaximal, Sylow
227C23×C17—22no—
228C23×C17—22no—
229C23×C17—22no—
230C23×C17—41no—
231C23×C17—41no—
232C23×C17—41no—
233C23×C17—41no—
234C23×C17C22×D411yescharacteristic
235C22×D17—22no—
236C22×D17—22no—
237C22×D17—22no—
238C22×D17—41no—
239C22×D17—41no—
240C22×D17—41no—
241C22×D17—41no—
242D4×C17—22no—
243D4×C17—22no—
244D4×C17—22no—
245D4×C17C2×C4⋊C414yes—
246C2×C4×C17—21no—
247C2×C4×C17—21no—
248C2×C4×C17—21no—
249C2×C4×C17—21no—
250C2×C4×C17—21no—
251C2×C4×C17—21no—
252C2×C4×C17—22no—
253C2×C4×C17—21no—
254C2×C4×C17—21no—
255C2×C4×C17—21no—
256C2×C4×C17—21no—
257C2×C4×C17—21no—
258C2×C4×C17—21no—
259C2×C4×C17—21no—
260C2×C4×C17—21no—
261C2×C4×C17—21no—
262C2×C4×C17—48no—
263C2×C4×C17—41no—
264C2×C4×C17—41no—
265C2×C4×C17—41no—
266C2×C4×C17—41no—
267C2×C4×C17—41no—
268C2×C4×C17—41no—
269C2×C4×C17—41no—
270C2×C4×C17—41no—
271C2×C4×C17—84no—
272C2×C4×C17—84no—
273C2×C4×C17C4×D412yes—
274C2×C4×C17C4×D412yes—
275C2×C4×C17AGL(1,ℤ/8)12yes—
276C2×C4×C17C23×C411yescharacteristic
277C2×C4×C17C22×D411yescharacteristic
278C2×C4×C17C22×Q811yescharacteristic
279C2×C4×C17C2×#4111yescharacteristic
280C2×C4×C17H(5,𝔽2)11yescharacteristic
281C2×C4×C172−1+411yescharacteristic
282C2×Dic17—22no—
283C2×Dic17—41no—
284C2×Dic17—41no—
285C2×Dic17—41no—
286C2×Dic17—41no—
287C2×Dic17—41no—
288C2×Dic17—41no—
289C2×Dic17—41no—
290C2×Dic17—41no—
291D68—22no—
292D68—22no—
293D68—22no—
294D68C2×C4⋊C414yescomplemented
295C4×D17—84no—
296C4×D17—84no—
297C4×D17—84no—
298#3622—22no—
299#3622—41no—
300#3622—41no—
301#3622C2×C4⋊C414yescomplemented
302C2×#442—171no—
303C2×#442—171no—
304C2×C4×D8—171no—
305#2349—171no—
306D4×C4⋊C4D1711yescharacteristic, complemented
307#1944—171no—
308#1941—171no—
309#1864—171no—
310#1864—171no—
311#1862—171no—
312#1862—171no—
313#1847—171no—
314#1804—171no—
315#1802—171no—
316#1771—171no—
317C22×C17—24no—
318C22×C17—42no—
319C22×C17—42no—
320C22×C17—42no—
321C22×C17—42no—
322C22×C17—42no—
323C22×C17—42no—
324C22×C17C2×C4×D411yescharacteristic
325C22×C17D4211yescharacteristic
326C22×C17D4×Q811yescharacteristic
327C22×C17C2×AGL(1,ℤ/8)11yescharacteristic
328C22×C17#57511yescharacteristic
329C22×C17#57611yescharacteristic
330C22×C17#57711yescharacteristic
331C2×D17—24no—
332C2×D17—42no—
333C2×D17—42no—
334C2×D17—42no—
335C2×D17—42no—
336C2×D17—42no—
337C2×D17—42no—
338C4×C17—22no—
339C4×C17—22no—
340C4×C17—22no—
341C4×C17—42no—
342C4×C17—41no—
343C4×C17—41no—
344C4×C17—41no—
345C4×C17—81no—
346C4×C17—81no—
347C4×C17C22×C4⋊C411yescharacteristic
348C4×C17#52011yescharacteristic
349C4×C17#54711yescharacteristic
350C4×C17#55411yescharacteristic
351Dic17—42no—
352Dic17—81no—
353Dic17—81no—
354C22×D8—171no—
355C2×C4×D4—171no—
356C2×C4×D4—171no—
357C2×C4×D4—171no—
358C2×C4×D4C2×D1711yescharacteristic
359C2×C4×D4C2×D1711yescharacteristic
360C2×C4×D4C2×D1711yescharacteristic
361C22×C4⋊C4—21no—
362#442—178no—
363#442—344no—
364C4×D8—344no—
365C2×#107—171no—
366C2×#107—171no—
367C2×#106—171no—
368C2×#106—171no—
369C2×#106—171no—
370C2×C4⋊C8—171no—
371C2×#102—171no—
372C2×#102—171no—
373C2×#102—171no—
374C2×#102—171no—
375C2×#102—171no—
376C2×#102—171no—
377C2×#97—171no—
378C2×#97—171no—
379C2×C4×C8—171no—
380#389—171no—
381#389—171no—
382#389C2×D1711yescharacteristic
383#389C2×D1711yescharacteristic
384#385—21no—
385#385—21no—
386#385—341no—
387#385—341no—
388#384C2×D1711yescharacteristic
389#382—171no—
390#380—21no—
391#380—341no—
392C4×C4⋊C4C2×D1711yescharacteristic
393C2×#95—341no—
394#340—171no—
395#340—171no—
396#340—171no—
397#340—171no—
398#336—171no—
399#336—171no—
400C2×C17—44no—
401C2×C17D4×C4⋊C411yescharacteristic
402C2×C17C4×AGL(1,ℤ/8)11yescharacteristic
403C2×C17#294611yescharacteristic
404C2×C17#326411yescharacteristic
405C2×C17#326711yescharacteristic
406C2×C17#338411yescharacteristic
407C2×C17#338911yescharacteristic
408D17—44no—
409C22×D4—171no—
410C22×D4C22×D1711yescharacteristic
411C23×C4—21no—
412C23×C4—21no—
413C23×C4—21no—
414C23×C4—341no—
415C23×C4—341no—
416C23×C4—341no—
417C2×D8—174no—
418C2×D8—174no—
419C2×D8—174no—
420C22×C8—171no—
421C22×C8—171no—
422C22×C8—171no—
423C22×C8—171no—
424C4×D4—22no—
425C4×D4—22no—
426C4×D4—22no—
427C4×D4—41no—
428C4×D4—41no—
429C4×D4—174no—
430C4×D4—342no—
431C4×D4—342no—
432C4×D4—342no—
433C4×D4—681no—
434C4×D4—681no—
435C4×D4C4×D1714yescomplemented
436C2×C4⋊C4—21no—
437C2×C4⋊C4—21no—
438C2×C4⋊C4—21no—
439C2×C4⋊C4—21no—
440C2×C4⋊C4—44no—
441C2×C4⋊C4—171no—
442C2×C4⋊C4—171no—
443C2×C4⋊C4—171no—
444C2×C4⋊C4—341no—
445C2×C4⋊C4—341no—
446C2×C4⋊C4C22⋊D1711yescharacteristic
447C2×C4⋊C4C22⋊D1711yescharacteristic
448C2×C4⋊C4C22×D1711yescharacteristic
449C2×C4⋊C4C22×D1711yescharacteristic
450C2×C4⋊C4C22×D1711yescharacteristic
451C2×C22⋊C4—21no—
452C2×C22⋊C4—21no—
453C2×C22⋊C4—21no—
454C2×C22⋊C4—341no—
455C2×C22⋊C4—341no—
456C2×C22⋊C4—341no—
457C2×C42C22×D1711yescharacteristic
458C2×C42C22×D1711yescharacteristic
459C2×C42C22×D1711yescharacteristic
460#107—342no—
461#107—681no—
462#106—174no—
463#106—342no—
464#106—681no—
465C4⋊C8—342no—
466#102—174no—
467#102—174no—
468#102—342no—
469#102—342no—
470#102—342no—
471#102—342no—
472#97—174no—
473#97—342no—
474C4×C8—342no—
475#95—21no—
476#95—21no—
477#95—341no—
478#95—341no—
479#95—341no—
480#95—341no—
481#95C22⋊D1711yescharacteristic
482#95C22⋊D1711yescharacteristic
483C17#2267611yescharacteristic, complemented, Sylow
484C24—21no—
485C24—341no—
486C2×D4—21no—
487C2×D4—21no—
488C2×D4—21no—
489C2×D4—172no—
490C2×D4—172no—
491C2×D4—172no—
492C2×D4—341no—
493C2×D4—341no—
494C2×D4—341no—
495C2×D4C2×C4×D1712yes—
496C2×D4D4×D1712yes—
497C2×D4Q8×D1712yes—
498C22×C4—21no—
499C22×C4—24no—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—42no—
503C22×C4—42no—
504C22×C4—42no—
505C22×C4—42no—
506C22×C4—42no—
507C22×C4—42no—
508C22×C4—81no—
509C22×C4—81no—
510C22×C4—341no—
511C22×C4—344no—
512C22×C4—341no—
513C22×C4—341no—
514C22×C4—682no—
515C22×C4—682no—
516C22×C4—682no—
517C22×C4—682no—
518C22×C4—1361no—
519C22×C4—1361no—
520C22×C4—1361no—
521C22×C4—1361no—
522C22×C4C2×C22⋊D1711yescharacteristic
523C22×C4C2×C22⋊D1711yescharacteristic
524C22×C4C2×C22⋊D1711yescharacteristic
525C22×C4C2×C22⋊D1711yescharacteristic
526C22×C4C2×C22⋊D1711yescharacteristic
527C22×C4C2×C22⋊D1711yescharacteristic
528C22×C4C23×D1711yescharacteristic
529D8—1716no—
530C2×C8—172no—
531C2×C8—172no—
532C2×C8—172no—
533C2×C8—172no—
534C2×C8—341no—
535C2×C8—341no—
536C2×C8—341no—
537C2×C8—341no—
538C2×C8—341no—
539C2×C8—341no—
540C2×C8—341no—
541C2×C8—341no—
542C4⋊C4—21no—
543C4⋊C4—22no—
544C4⋊C4—21no—
545C4⋊C4—21no—
546C4⋊C4—21no—
547C4⋊C4—21no—
548C4⋊C4—41no—
549C4⋊C4—42no—
550C4⋊C4—42no—
551C4⋊C4—42no—
552C4⋊C4—81no—
553C4⋊C4—172no—
554C4⋊C4—341no—
555C4⋊C4—341no—
556C4⋊C4—341no—
557C4⋊C4—341no—
558C4⋊C4—341no—
559C4⋊C4—1361no—
560C4⋊C4—1361no—
561C4⋊C4C2×C4×D1712yes—
562C22⋊C4—24no—
563C22⋊C4—42no—
564C22⋊C4—42no—
565C22⋊C4—344no—
566C22⋊C4—682no—
567C22⋊C4—682no—
568C42—21no—
569C42—21no—
570C42—21no—
571C42—21no—
572C42C2×C4×D1712yes—
573C42#6325212yes—
574C23—22no—
575C23—22no—
576C23—22no—
577C23—41no—
578C23—41no—
579C23—41no—
580C23—41no—
581C23—342no—
582C23—342no—
583C23—342no—
584C23—681no—
585C23—681no—
586C23—681no—
587C23—681no—
588C23C22×C22⋊D1711yescharacteristic
589D4—22no—
590D4—22no—
591D4—22no—
592D4—174no—
593D4—342no—
594D4—342no—
595D4—342no—
596D4C4⋊C4×D1714yes—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—21no—
602C2×C4—21no—
603C2×C4—22no—
604C2×C4—21no—
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—48no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—84no—
623C2×C4—84no—
624C2×C4—342no—
625C2×C4—681no—
626C2×C4—681no—
627C2×C4—681no—
628C2×C4—681no—
629C2×C4—681no—
630C2×C4—681no—
631C2×C4—681no—
632C2×C4—681no—
633C2×C4—1364no—
634C2×C4—1364no—
635C2×C4—1364no—
636C2×C4C4×C22⋊D1712yes—
637C2×C4C4×C22⋊D1712yes—
638C2×C4#1058761812yes—
639C2×C4C22×C4×D1711yescharacteristic
640C2×C4C2×#6325211yescharacteristic
641C2×C4C2×D4×D1711yescharacteristic
642C2×C4#1058769111yescharacteristic
643C2×C4C2×Q8×D1711yescharacteristic
644C2×C4#1058769411yescharacteristic
645C8—174no—
646C8—342no—
647C8—681no—
648C8—681no—
649C22—24no—
650C22—42no—
651C22—42no—
652C22—42no—
653C22—42no—
654C22—42no—
655C22—42no—
656C22—344no—
657C22—682no—
658C22—682no—
659C22—682no—
660C22—682no—
661C22—682no—
662C22—682no—
663C22C2×C4×C22⋊D1711yescharacteristic
664C22D4×C22⋊D1711yescharacteristic
665C22Q8×C22⋊D1711yescharacteristic
666C22C2×#1058761811yescharacteristic
667C22#1176360711yescharacteristic
668C22#1176361211yescharacteristic
669C22#1176361711yescharacteristic
670C4—22no—
671C4—22no—
672C4—22no—
673C4—41no—
674C4—41no—
675C4—42no—
676C4—41no—
677C4—81no—
678C4—81no—
679C4—682no—
680C4—1361no—
681C4—1361no—
682C4C2×C4⋊C4×D1711yescharacteristic
683C4#1176329011yescharacteristic
684C4#1176346011yescharacteristic
685C4#1176351411yescharacteristic
686C2—44no—
687C2—684no—
688C2C4⋊C4×C22⋊D1711yescharacteristic
689C2C4×#1058761811yescharacteristic
690C2#1453761211yescharacteristic
691C2#1454026011yescharacteristic
692C2#1454031011yescharacteristic
693C2#1454167911yescharacteristic
694C2#1454173811yescharacteristic
subgroupG/H
centerC23C22×C22⋊D17
commutatorC2×C4×C17C23×C4
FrattiniC22×C4C23×D17
FittingD4×C4⋊C4×C17C2
socleC23×C17C22×D4
prime radicalC22×#63228C22
cosocleC22×C4×C17C24
hypercenterD4×C4⋊C4D17
hypocenterC17#22676
LCSG ▷ C2×C4×C17 ▷ C2×C17 ▷ C17
UCSC1 ◁ C23 ◁ C4×C4⋊C4 ◁ D4×C4⋊C4

Complements

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

NH ≅ G/Ntype
4. #14531695C2semidirect
5. #14529524C2semidirect
6. #14529509C2semidirect
7. #14529045C2semidirect
8. #14529044C2semidirect
9. #14529031C2semidirect
10. #14529030C2semidirect
11. #14528950C2semidirect
12. #14528794C2semidirect
13. #14528781C2semidirect
14. #14528659C2semidirect
15. D4×C4⋊C4×C17C2semidirect
21. #11762919C4semidirect
75. C4×D4×C17C2×C4semidirect
112. C4×D68C2×C4semidirect
119. #10587503C2×C4semidirect
126. #10587480C2×C4semidirect
129. #10587479C2×C4semidirect
134. #10587474C2×C4semidirect
202. #63228C4⋊C4semidirect
294. D68C2×C4⋊C4semidirect
301. #3622C2×C4⋊C4semidirect
306. D4×C4⋊C4D17semidirect
435. C4×D4C4×D17semidirect
483. C17#22676semidirect

Maximal subgroups

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

subgroupindex
C2×#117629192
C2×C4×#632282
#145316952
#145295242
#145295092
#145290452
#145290442
#145290312
#145290302
#145289502
#145287942
#145287812
#145286592
D4×C4⋊C4×C172
#2267617