Finite Group Databasebeta

← #17094282

Subgroups — #17094282

Order 4352.

924 conjugacy classes of subgroups.

The subgroup lattice has 722 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11763130C211yesmaximal, characteristic, complemented
2C2×#11762849C211yesmaximal, characteristic, complemented
3#14531733C211yesmaximal, characteristic, complemented
4#14530312C211yesmaximal, characteristic, complemented
5#14530255C211yesmaximal, characteristic, complemented
6#14530215C211yesmaximal, characteristic, complemented
7#14529963C211yesmaximal, characteristic, complemented
8#14529408C211yesmaximal, characteristic, complemented
9#14529359C211yesmaximal, characteristic, complemented
10#14529223C211yesmaximal, characteristic, complemented
11#14529107C211yesmaximal, characteristic, complemented
12#14529082C211yesmaximal, characteristic, complemented
13#14528981C211yesmaximal, characteristic, complemented
14#14528972C211yesmaximal, characteristic, complemented
15C17×#2416C211yesmaximal, characteristic
16C22×#63223C2211yescharacteristic
17C2×#10587612C2211yescharacteristic
18C2×#10587612C2211yescharacteristic
19#11763130—24no—
20#11762849—24no—
21C2×#10587478C2211yescharacteristic
22C2×#10587478C2211yescharacteristic
23C2×#10587478C2211yescharacteristic
24C2×#10587478C2211yescharacteristic
25C2×#10587479C2211yescharacteristic
26C2×#10587479C2211yescharacteristic
27C2×#10587503C2211yescharacteristic
28C2×#10587503C2211yescharacteristic
29C2×#10587503C2211yescharacteristic
30C2×#10587503C2211yescharacteristic
31C2×C22⋊#3622C2211yescharacteristic
32C2×C22⋊#3622C2211yescharacteristic
33C2×C22⋊#3622C2211yescharacteristic
34#11762712—21no—
35#11762702—21no—
36#11762702—21no—
37#11762679C2211yescharacteristic
38#11762669C2211yescharacteristic
39#11762669C2211yescharacteristic
40C4⋊C4×Dic17—21no—
41C4×C4⋊Dic17C2211yescharacteristic
42#11762571C2211yescharacteristic
43#11762571C2211yescharacteristic
44#11762571C2211yescharacteristic
45#11762571C2211yescharacteristic
46#11762571C2211yescharacteristic
47#11762571C2211yescharacteristic
48#11762564C2211yescharacteristic
49#11762564C2211yescharacteristic
50C2×C17×#121—21no—
51C2×C17×#121C2211yescharacteristic
52C2×C17×#121C2211yescharacteristic
53C2×C4×D4×C17C2211yescharacteristic
54C22×C4⋊C4×C17C2211yescharacteristic
55C17×#396—21no—
56C17×#394—21no—
57C17×#390C2211yescharacteristic
58C17×#389C2211yescharacteristic
59C17×#386—21no—
60C17×#380C2211yescharacteristic
61C22×D4×C17—21no—
62C22×D4×C17—21no—
63C22×D4×C17D411yescharacteristic
64C22×D4×C17C2311yescharacteristic
65C23×C4×C17—21no—
66C23×C4×C17C2311yescharacteristic
67C23×C4×C17C2311yescharacteristic
68C17×#121—22no—
69C17×#121—22no—
70C17×#121—22no—
71C17×#121—41no—
72C17×#121—44no—
73C4×D4×C17—22no—
74C4×D4×C17—22no—
75C2×C4⋊C4×C17—22no—
76C2×C4⋊C4×C17—21no—
77C2×C4⋊C4×C17—21no—
78C2×C4⋊C4×C17—41no—
79C2×C4⋊C4×C17D411yescharacteristic
80C2×C4⋊C4×C17C2311yescharacteristic
81C2×C4⋊C4×C17C2311yescharacteristic
82C2×C4⋊C4×C17C2311yescharacteristic
83C2×C22⋊C4×C17—21no—
84C2×C22⋊C4×C17—21no—
85C2×C22⋊C4×C17—21no—
86C2×C22⋊C4×C17—21no—
87C2×C22⋊C4×C17—21no—
88C2×C22⋊C4×C17D411yescharacteristic
89C2×C22⋊C4×C17D411yescharacteristic
90C2×C42×C17C2311yescharacteristic
91C2×C22⋊Dic17—21no—
92C2×C22⋊Dic17—21no—
93C2×C22⋊Dic17—21no—
94C2×C22⋊Dic17—21no—
95#10587612—22no—
96#10587612—22no—
97#10587612—41no—
98#10587612—41no—
99C2×C4⋊Dic17—21no—
100C2×C4⋊Dic17—21no—
101C2×C4⋊Dic17C2311yescharacteristic
102C2×C4⋊Dic17C2311yescharacteristic
103C2×C4⋊Dic17C2311yescharacteristic
104C2×C4⋊Dic17C2311yescharacteristic
105C2×C4×Dic17—21no—
106C2×C4×Dic17—21no—
107C2×C4×Dic17—21no—
108C2×#63223—22no—
109C2×#63223—22no—
110C2×#63223—22no—
111C22×#3622C2311yescharacteristic
112C22×#3622C2311yescharacteristic
113C22×#3622C2311yescharacteristic
114C22×#3622C2311yescharacteristic
115C17×#95—21no—
116C17×#95—21no—
117#10587503—22no—
118#10587503—22no—
119#10587503—22no—
120#10587503—41no—
121#10587502—21no—
122#10587502—21no—
123#10587502—21no—
124C22⋊#3622—22no—
125C22⋊#3622—22no—
126C22⋊#3622—22no—
127#10587479—22no—
128#10587479D414yescomplemented
129#10587478—22no—
130#10587478—22no—
131#10587478—22no—
132#10587478—41no—
133C24×C17—21no—
134C24×C17C2×D411yescharacteristic
135C24×C17C2×D411yescharacteristic
136C2×D4×C17—22no—
137C2×D4×C17—22no—
138C2×D4×C17—21no—
139C2×D4×C17—21no—
140C2×D4×C17—21no—
141C2×D4×C17—21no—
142C2×D4×C17—21no—
143C2×D4×C17—21no—
144C2×D4×C17—41no—
145C2×D4×C17—42no—
146C2×D4×C17—42no—
147C2×D4×C17—42no—
148C2×D4×C17—42no—
149C2×D4×C17—42no—
150C2×D4×C17—81no—
151C22×C4×C17—21no—
152C22×C4×C17—21no—
153C22×C4×C17—21no—
154C22×C4×C17—21no—
155C22×C4×C17—21no—
156C22×C4×C17—21no—
157C22×C4×C17—21no—
158C22×C4×C17—21no—
159C22×C4×C17—21no—
160C22×C4×C17—21no—
161C22×C4×C17—21no—
162C22×C4×C17—21no—
163C22×C4×C17—21no—
164C22×C4×C17—42no—
165C22×C4×C17—42no—
166C22×C4×C17—81no—
167C22×C4×C17C2×D411yescharacteristic
168C22×C4×C17C2×D411yescharacteristic
169C22×C4×C17C2×D411yescharacteristic
170C22×C4×C17C2×D411yescharacteristic
171C22×C4×C17#4112yes—
172C22×C4×C17#4112yes—
173C22×C4×C17C2411yescharacteristic
174C22×Dic17—21no—
175C22×Dic17—21no—
176C22×Dic17—21no—
177C22×Dic17—21no—
178C4⋊C4×C17—22no—
179C4⋊C4×C17—21no—
180C4⋊C4×C17—21no—
181C4⋊C4×C17—21no—
182C4⋊C4×C17—21no—
183C4⋊C4×C17—21no—
184C4⋊C4×C17—42no—
185C4⋊C4×C17—42no—
186C4⋊C4×C17C2×D412yes—
187C22⋊C4×C17—22no—
188C22⋊C4×C17—22no—
189C22⋊C4×C17—42no—
190C22⋊C4×C17—42no—
191C22⋊C4×C17—42no—
192C22⋊C4×C17—42no—
193C22⋊C4×C17—81no—
194C42×C17—21no—
195C42×C17—21no—
196C22⋊Dic17—42no—
197C22⋊Dic17—42no—
198C22⋊Dic17—81no—
199C22⋊Dic17—81no—
200C4⋊Dic17—21no—
201C4⋊Dic17—21no—
202C4⋊Dic17—21no—
203C4⋊Dic17—21no—
204C4⋊Dic17—21no—
205C4⋊Dic17—21no—
206C4⋊Dic17—21no—
207C4⋊Dic17—42no—
208C4⋊Dic17—81no—
209C4⋊Dic17C2×D412yes—
210C4×Dic17—42no—
211C4×Dic17—42no—
212C4×Dic17—42no—
213#63223—28no—
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×#3622—21no—
223C2×#3622—21no—
224C2×#3622C2×D412yes—
225C2×#3622#4112yes—
226#26157—171nomaximal, Sylow
227C23×C17—21no—
228C23×C17—21no—
229C23×C17—21no—
230C23×C17—21no—
231C23×C17—21no—
232C23×C17—21no—
233C23×C17—21no—
234C23×C17—21no—
235C23×C17—21no—
236C23×C17—21no—
237C23×C17—21no—
238C23×C17—21no—
239C23×C17—21no—
240C23×C17—41no—
241C23×C17—41no—
242C23×C17—41no—
243C23×C17—41no—
244C23×C17—41no—
245C23×C17—41no—
246C23×C17—41no—
247C23×C17#12312yes—
248C23×C17C22×D411yescharacteristic
249D4×C17—44no—
250D4×C17—41no—
251D4×C17—41no—
252D4×C17—41no—
253D4×C17—41no—
254D4×C17—84no—
255D4×C17—84no—
256C2×C4×C17—21no—
257C2×C4×C17—21no—
258C2×C4×C17—21no—
259C2×C4×C17—21no—
260C2×C4×C17—22no—
261C2×C4×C17—22no—
262C2×C4×C17—22no—
263C2×C4×C17—22no—
264C2×C4×C17—21no—
265C2×C4×C17—21no—
266C2×C4×C17—21no—
267C2×C4×C17—22no—
268C2×C4×C17—21no—
269C2×C4×C17—21no—
270C2×C4×C17—21no—
271C2×C4×C17—41no—
272C2×C4×C17—41no—
273C2×C4×C17—41no—
274C2×C4×C17—41no—
275C2×C4×C17—41no—
276C2×C4×C17—41no—
277C2×C4×C17—41no—
278C2×C4×C17—41no—
279C2×C4×C17—41no—
280C2×C4×C17—41no—
281C2×C4×C17—41no—
282C2×C4×C17—41no—
283C2×C4×C17—84no—
284C2×C4×C17#12312yes—
285C2×C4×C17AGL(1,ℤ/8)12yes—
286C2×C4×C17C22×D411yescharacteristic
287C2×C4×C17C2×#4111yescharacteristic
288C2×C4×C17C2×#4111yescharacteristic
289C2×C4×C17C2×#4111yescharacteristic
290C2×C4×C17H(5,𝔽2)11yescharacteristic
291C2×C4×C172−1+411yescharacteristic
292C2×Dic17—22no—
293C2×Dic17—41no—
294C2×Dic17—41no—
295C2×Dic17—41no—
296C2×Dic17—41no—
297C2×Dic17—41no—
298C2×Dic17—41no—
299C2×Dic17—41no—
300C2×Dic17—41no—
301C2×Dic17—41no—
302C2×Dic17—41no—
303C2×Dic17—41no—
304#3622—22no—
305#3622—22no—
306#3622—41no—
307#3622—41no—
308C2×#482—171no—
309C2×#428—171no—
310#2416D1711yescharacteristic
311#2354—171no—
312#2093—171no—
313#2083—171no—
314#2076—171no—
315#2033—171no—
316#1926—171no—
317#1919—171no—
318#1895—171no—
319#1875—171no—
320#1870—171no—
321#1854—171no—
322#1852—171no—
323C22×C17—22no—
324C22×C17—22no—
325C22×C17—22no—
326C22×C17—41no—
327C22×C17—41no—
328C22×C17—41no—
329C22×C17—41no—
330C22×C17—41no—
331C22×C17—41no—
332C22×C17—41no—
333C22×C17—41no—
334C22×C17—41no—
335C22×C17—41no—
336C22×C17—41no—
337C22×C17—81no—
338C22×C17—81no—
339C22×C17—81no—
340C22×C17—81no—
341C22×C17—81no—
342C22×C17—81no—
343C22×C17—81no—
344C22×C17C2×#12311yescharacteristic
345C22×C17D4211yescharacteristic
346C22×C17#54711yescharacteristic
347C22×C17C2×AGL(1,ℤ/8)11yescharacteristic
348C22×C17#57511yescharacteristic
349C22×C17#57611yescharacteristic
350C22×C17#57811yescharacteristic
351C4×C17—22no—
352C4×C17—22no—
353C4×C17—41no—
354C4×C17—41no—
355C4×C17—42no—
356C4×C17—81no—
357C4×C17—81no—
358C4×C17#52511yescharacteristic
359C4×C17#53911yescharacteristic
360C4×C17#54811yescharacteristic
361C4×C17#55311yescharacteristic
362Dic17—42no—
363Dic17—81no—
364Dic17—81no—
365Dic17—81no—
366C22×M16—171no—
367C2×#121—21no—
368C2×#121C2×D1711yescharacteristic
369C2×#121C2×D1711yescharacteristic
370C2×C4×D4C2×D1711yescharacteristic
371C2×#117—171no—
372C2×#117—171no—
373C22×C4⋊C4C2×D1711yescharacteristic
374#482—344no—
375#428—344no—
376C2×#107—171no—
377C2×#107—171no—
378C2×#107—171no—
379C2×#107—171no—
380C2×#106—171no—
381C2×#106—171no—
382C2×#102—171no—
383C2×#102—171no—
384C2×#102—171no—
385C2×#102—171no—
386C2×C22⋊C8—171no—
387C2×C22⋊C8—171no—
388C2×C22⋊C8—171no—
389#396—21no—
390#394—21no—
391#390—341no—
392#390C2×D1711yescharacteristic
393#389C2×D1711yescharacteristic
394#388—341no—
395#388—341no—
396#386—21no—
397#384—171no—
398#380—171no—
399#380—171no—
400#380C2×D1711yescharacteristic
401C4×C4⋊C4—171no—
402C4×C4⋊C4—341no—
403#340—171no—
404#340—171no—
405#340—171no—
406#340—171no—
407#340—171no—
408#340—171no—
409#336—171no—
410#336—171no—
411C2×C17—42no—
412C2×C17—81no—
413C2×C17—161no—
414C2×C17#244311yescharacteristic
415C2×C17#309411yescharacteristic
416C2×C17#309811yescharacteristic
417C2×C17#326911yescharacteristic
418C2×C17#327411yescharacteristic
419C2×C17#334711yescharacteristic
420C2×C17#335311yescharacteristic
421C22×D4—21no—
422C22×D4—21no—
423C22×D4C22⋊D1711yescharacteristic
424C22×D4C22×D1711yescharacteristic
425C23×C4—21no—
426C23×C4C22×D1711yescharacteristic
427C23×C4C22×D1711yescharacteristic
428C2×M16—342no—
429C2×M16—342no—
430C2×M16—342no—
431C22×C8—171no—
432C22×C8—171no—
433C22×C8—171no—
434C22×C8—171no—
435#121—22no—
436#121—22no—
437#121—22no—
438#121—41no—
439#121—44no—
440C4×D4—22no—
441C4×D4—22no—
442#117—342no—
443#117—342no—
444#117—681no—
445#117—681no—
446C2×C4⋊C4—22no—
447C2×C4⋊C4—21no—
448C2×C4⋊C4—21no—
449C2×C4⋊C4—41no—
450C2×C4⋊C4—171no—
451C2×C4⋊C4—171no—
452C2×C4⋊C4—171no—
453C2×C4⋊C4—171no—
454C2×C4⋊C4—341no—
455C2×C4⋊C4—341no—
456C2×C4⋊C4C22⋊D1711yescharacteristic
457C2×C4⋊C4C22×D1711yescharacteristic
458C2×C4⋊C4C22×D1711yescharacteristic
459C2×C4⋊C4C22×D1711yescharacteristic
460C2×C22⋊C4—21no—
461C2×C22⋊C4—21no—
462C2×C22⋊C4—21no—
463C2×C22⋊C4—21no—
464C2×C22⋊C4—21no—
465C2×C22⋊C4—341no—
466C2×C22⋊C4—341no—
467C2×C22⋊C4—341no—
468C2×C22⋊C4—341no—
469C2×C22⋊C4C22⋊D1711yescharacteristic
470C2×C22⋊C4C22⋊D1711yescharacteristic
471C2×C42—341no—
472C2×C42—341no—
473C2×C42—341no—
474C2×C42C22×D1711yescharacteristic
475#107—342no—
476#107—342no—
477#107—342no—
478#107—681no—
479#106—174no—
480#106—342no—
481#102—342no—
482#102—342no—
483#102—342no—
484#102—681no—
485C22⋊C8—342no—
486C22⋊C8—342no—
487C22⋊C8—342no—
488#95—21no—
489#95—21no—
490#95—341no—
491#95—341no—
492#95—341no—
493C17#2615711yescharacteristic, complemented, Sylow
494C24—21no—
495C24C2×C22⋊D1711yescharacteristic
496C24C2×C22⋊D1711yescharacteristic
497C2×D4—22no—
498C2×D4—21no—
499C2×D4—21no—
500C2×D4—21no—
501C2×D4—21no—
502C2×D4—21no—
503C2×D4—21no—
504C2×D4—22no—
505C2×D4—41no—
506C2×D4—42no—
507C2×D4—42no—
508C2×D4—42no—
509C2×D4—42no—
510C2×D4—42no—
511C2×D4—81no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—21no—
523C22×C4—21no—
524C22×C4—21no—
525C22×C4—42no—
526C22×C4—42no—
527C22×C4—81no—
528C22×C4—341no—
529C22×C4—341no—
530C22×C4—341no—
531C22×C4—341no—
532C22×C4#6325412yes—
533C22×C4#6325412yes—
534C22×C4C2×C22⋊D1711yescharacteristic
535C22×C4C2×C22⋊D1711yescharacteristic
536C22×C4C2×C22⋊D1711yescharacteristic
537C22×C4C2×C22⋊D1711yescharacteristic
538C22×C4C23×D1711yescharacteristic
539M16—348no—
540C2×C8—172no—
541C2×C8—172no—
542C2×C8—341no—
543C2×C8—341no—
544C2×C8—341no—
545C2×C8—341no—
546C2×C8—341no—
547C2×C8—341no—
548C2×C8—341no—
549C2×C8—341no—
550C2×C8—341no—
551C2×C8—341no—
552C4⋊C4—21no—
553C4⋊C4—22no—
554C4⋊C4—21no—
555C4⋊C4—21no—
556C4⋊C4—21no—
557C4⋊C4—21no—
558C4⋊C4—42no—
559C4⋊C4—42no—
560C4⋊C4—172no—
561C4⋊C4—341no—
562C4⋊C4—341no—
563C4⋊C4—341no—
564C4⋊C4—341no—
565C4⋊C4—341no—
566C4⋊C4—341no—
567C4⋊C4—341no—
568C4⋊C4—682no—
569C4⋊C4—1361no—
570C4⋊C4D4×D1712yes—
571C22⋊C4—22no—
572C22⋊C4—22no—
573C22⋊C4—42no—
574C22⋊C4—42no—
575C22⋊C4—42no—
576C22⋊C4—42no—
577C22⋊C4—81no—
578C22⋊C4—682no—
579C22⋊C4—682no—
580C22⋊C4—1361no—
581C22⋊C4—1361no—
582C42—21no—
583C42—21no—
584C42—682no—
585C42—682no—
586C42—682no—
587C23—21no—
588C23—21no—
589C23—21no—
590C23—21no—
591C23—21no—
592C23—21no—
593C23—21no—
594C23—21no—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—21no—
599C23—21no—
600C23—41no—
601C23—41no—
602C23—41no—
603C23—41no—
604C23—41no—
605C23—41no—
606C23—41no—
607C23#1058762112yes—
608C23C22×C22⋊D1711yescharacteristic
609D4—44no—
610D4—41no—
611D4—41no—
612D4—41no—
613D4—41no—
614D4—84no—
615D4—84no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—22no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—22no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—84no—
644C2×C4—342no—
645C2×C4—681no—
646C2×C4—681no—
647C2×C4—681no—
648C2×C4—681no—
649C2×C4—681no—
650C2×C4—681no—
651C2×C4—681no—
652C2×C4—681no—
653C2×C4—681no—
654C2×C4—681no—
655C2×C4—681no—
656C2×C4#1058761812yes—
657C2×C4#1058762112yes—
658C2×C4C2×D4×D1711yescharacteristic
659C2×C4C2×#6325411yescharacteristic
660C2×C4C2×#6325411yescharacteristic
661C2×C4#1058769111yescharacteristic
662C2×C4#41×D1711yescharacteristic
663C2×C4#1058769711yescharacteristic
664C8—342no—
665C8—342no—
666C8—681no—
667C8—681no—
668C22—22no—
669C22—22no—
670C22—22no—
671C22—41no—
672C22—41no—
673C22—41no—
674C22—41no—
675C22—41no—
676C22—41no—
677C22—41no—
678C22—41no—
679C22—41no—
680C22—41no—
681C22—41no—
682C22—81no—
683C22—81no—
684C22—81no—
685C22—81no—
686C22—81no—
687C22—81no—
688C22—81no—
689C22C2×#1058762111yescharacteristic
690C22D4×C22⋊D1711yescharacteristic
691C22#1176345811yescharacteristic
692C22C2×#1058761811yescharacteristic
693C22#1176360711yescharacteristic
694C22#1176361211yescharacteristic
695C22#1176362411yescharacteristic
696C4—22no—
697C4—22no—
698C4—41no—
699C4—42no—
700C4—41no—
701C4—81no—
702C4—81no—
703C4—682no—
704C4—1361no—
705C4—1361no—
706C4—1361no—
707C4#1176331911yescharacteristic
708C4#1176340411yescharacteristic
709C4#1176346511yescharacteristic
710C4#1176350211yescharacteristic
711C2—42no—
712C2—81no—
713C2—161no—
714C2#1453251511yescharacteristic
715C2#1453872011yescharacteristic
716C2#1453875811yescharacteristic
717C2#1454034011yescharacteristic
718C2#1454040011yescharacteristic
719C2#1454127811yescharacteristic
720C2#1454136811yescharacteristic
subgroupG/H
centerC23C22×C22⋊D17
commutator, cosocleC22×C4×C17C24
FrattiniC22×C4C23×D17
Fitting, prime radicalC17×#2416C2
socleC23×C17C22×D4
hypercenter#2416D17
hypocenterC17#26157
LCSG ▷ C22×C4×C17 ▷ C2×C17 ▷ C17
UCSC1 ◁ C23 ◁ C2×C4×D4 ◁ #2416

Complements

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

NH ≅ G/Ntype
1. C2×#11763130C2semidirect
2. C2×#11762849C2semidirect
3. #14531733C2semidirect
4. #14530312C2semidirect
5. #14530255C2semidirect
6. #14530215C2semidirect
7. #14529963C2semidirect
8. #14529408C2semidirect
9. #14529359C2semidirect
10. #14529223C2semidirect
11. #14529107C2semidirect
12. #14529082C2semidirect
13. #14528981C2semidirect
14. #14528972C2semidirect
128. #10587479D4semidirect
493. C17#26157semidirect

Maximal subgroups

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

subgroupindex
C2×#117631302
C2×#117628492
#145317332
#145303122
#145302552
#145302152
#145299632
#145294082
#145293592
#145292232
#145291072
#145290822
#145289812
#145289722
C17×#24162
#2615717