Finite Group Databasebeta

← #17054652

Subgroups — #17054652

Order 4352.

1086 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11762965C211yesmaximal, characteristic
2C2×#11762914C211yesmaximal, characteristic, complemented
3C22×#10587506C211yesmaximal, characteristic
4#14531787C211yesmaximal, characteristic
5#14529654C211yesmaximal, characteristic, complemented
6#14529477C211yesmaximal, characteristic, complemented
7#14529415C211yesmaximal, characteristic, complemented
8#14529205C211yesmaximal, characteristic
9#14529128C211yesmaximal, characteristic, complemented
10#14529125C211yesmaximal, characteristic, complemented
11#14529052C211yesmaximal, characteristic, complemented
12#14528976C211yesmaximal, characteristic
13#14528614C211yesmaximal, characteristic, complemented
14#14528562C211yesmaximal, characteristic
15Q8×C22⋊C4×C17C211yesmaximal, characteristic
16C22×#63231C2211yescharacteristic
17C22×#63231C2211yescharacteristic
18C23×#3622C2211yescharacteristic
19C2×#10587610C2211yescharacteristic
20C2×C4×Dic34C2211yescharacteristic
21C22×C4⋊Dic17C2211yescharacteristic
22#11762965C418yescomplemented
23#11762914—24no—
24C2×#10587479C2211yescharacteristic
25C2×#10587479C2211yescharacteristic
26C2×#10587506—24no—
27C2×#10587506C2211yescharacteristic
28C2×#10587506C2211yescharacteristic
29C2×#10587506C2211yescharacteristic
30C2×#10587506C2211yescharacteristic
31C2×#10587506C2211yescharacteristic
32C2×#10587506C2211yescharacteristic
33C2×#10587481C2211yescharacteristic
34C2×#10587481C2211yescharacteristic
35C2×C22⋊#3622C2211yescharacteristic
36C2×#10587474C2211yescharacteristic
37C2×#10587474C2211yescharacteristic
38#11762715C2211yescharacteristic
39#11762707C2211yescharacteristic
40#11762706—21no—
41#11762696—21no—
42#11762681—21no—
43C4×C4⋊Dic17C2211yescharacteristic
44C22⋊C4×Dic17—21no—
45#11762571C2211yescharacteristic
46#11762571C2211yescharacteristic
47#11762571C2211yescharacteristic
48#11762571C2211yescharacteristic
49#11762564C2211yescharacteristic
50#11762564C2211yescharacteristic
51C23×Q8×C17C2211yescharacteristic
52C2×C4×Q8×C17C2211yescharacteristic
53C2×C4×Q8×C17C2211yescharacteristic
54C17×#391—21no—
55C17×#391—21no—
56C17×#391C2211yescharacteristic
57C17×#391C2211yescharacteristic
58C17×#380—21no—
59C17×#380C2211yescharacteristic
60C4×C22⋊C4×C17—21no—
61C4×C22⋊C4×C17C2211yescharacteristic
62C22×Q8×C17—21no—
63C22×Q8×C17—22no—
64C22×Q8×C17—22no—
65C22×Q8×C17—22no—
66C22×Q8×C17—41no—
67C22×Q8×C17—41no—
68C22×Q8×C17C2×C414yes—
69C22×Q8×C17C2311yescharacteristic
70C22×Q8×C17C2311yescharacteristic
71C23×C4×C17—21no—
72C23×C4×C17C2311yescharacteristic
73C23×Dic17—21no—
74C22×Dic34C2311yescharacteristic
75C4×Q8×C17—22no—
76C4×Q8×C17—22no—
77C4×Q8×C17—41no—
78C4×Q8×C17—41no—
79C2×C4⋊C4×C17—21no—
80C2×C4⋊C4×C17—21no—
81C2×C4⋊C4×C17C2311yescharacteristic
82C2×C4⋊C4×C17C2311yescharacteristic
83C2×C22⋊C4×C17—21no—
84C2×C22⋊C4×C17D411yescharacteristic
85C2×C22⋊C4×C17D411yescharacteristic
86C2×C42×C17—21no—
87C2×C42×C17—21no—
88C2×C42×C17C2311yescharacteristic
89C2×C42×C17C2311yescharacteristic
90C2×C22⋊Dic17—21no—
91C2×#63231—22no—
92C2×#63231—22no—
93C2×#63231—41no—
94C2×#63231—41no—
95C2×#63231C2×C414yescomplemented
96C2×#63231C2×C414yescomplemented
97C2×C4⋊Dic17—21no—
98C2×C4⋊Dic17—22no—
99C2×C4⋊Dic17—41no—
100C2×C4⋊Dic17C2311yescharacteristic
101C2×C4⋊Dic17C2311yescharacteristic
102C2×C4⋊Dic17C2311yescharacteristic
103#10587610—22no—
104#10587610C2×C414yes—
105C2×#63225—21no—
106C2×#63225—21no—
107C2×#63225—21no—
108C2×C4×Dic17—21no—
109C2×C4×Dic17—21no—
110C22×#3622—22no—
111C22×#3622—22no—
112C22×#3622—41no—
113C22×#3622C2311yescharacteristic
114C22×#3622C2311yescharacteristic
115C22×#3622C2311yescharacteristic
116C22×#3622C2311yescharacteristic
117C4×Dic34—22no—
118C4×Dic34—41no—
119C17×#95—21no—
120C17×#95—21no—
121C17×#95—21no—
122C17×#95—21no—
123C17×#95—21no—
124C17×#95D411yescharacteristic
125C17×#95D411yescharacteristic
126#10587506—22no—
127#10587506—22no—
128#10587506—22no—
129#10587506C2×C414yescomplemented
130#10587506C2×C414yescomplemented
131#10587506D414yes—
132#10587502—21no—
133#10587502—21no—
134#10587502—21no—
135#10587502—21no—
136C22⋊#3622C2×C414yes—
137#10587481—22no—
138#10587481—41no—
139#10587479—22no—
140#10587479—41no—
141#10587474—22no—
142#10587474—41no—
143C24×C17C2×D411yescharacteristic
144C2×Q8×C17—24no—
145C2×Q8×C17—21no—
146C2×Q8×C17—21no—
147C2×Q8×C17—21no—
148C2×Q8×C17—21no—
149C2×Q8×C17—28no—
150C2×Q8×C17—21no—
151C2×Q8×C17—21no—
152C2×Q8×C17—21no—
153C2×Q8×C17—21no—
154C2×Q8×C17—42no—
155C2×Q8×C17—42no—
156C2×Q8×C17—44no—
157C2×Q8×C17—44no—
158C2×Q8×C17—44no—
159C2×Q8×C17C22×C412yes—
160C2×Q8×C17C22×C412yes—
161C2×Q8×C17C2×D412yes—
162C2×Q8×C17#4112yes—
163C22×C4×C17—21no—
164C22×C4×C17—21no—
165C22×C4×C17—21no—
166C22×C4×C17—21no—
167C22×C4×C17—21no—
168C22×C4×C17—24no—
169C22×C4×C17—21no—
170C22×C4×C17—21no—
171C22×C4×C17—21no—
172C22×C4×C17—42no—
173C22×C4×C17—42no—
174C22×C4×C17C22×C412yes—
175C22×C4×C17C2×D411yescharacteristic
176C22×C4×C17C2×D411yescharacteristic
177C22×C4×C17C2×D411yescharacteristic
178C22×C4×C17C2×D411yescharacteristic
179C22×C4×C17C2×D411yescharacteristic
180C22×C4×C17#4112yes—
181C22×C4×C17C2411yescharacteristic
182C22×Dic17—21no—
183C22×Dic17—21no—
184C22×Dic17—21no—
185C22×Dic17—21no—
186C22×Dic17—42no—
187C22×Dic17—42no—
188C22×Dic17—81no—
189C2×Dic34—21no—
190C2×Dic34—21no—
191C2×Dic34—21no—
192C2×Dic34—21no—
193C2×Dic34—21no—
194C2×Dic34C22×C412yes—
195C4⋊C4×C17—21no—
196C4⋊C4×C17—21no—
197C4⋊C4×C17—21no—
198C4⋊C4×C17—21no—
199C4⋊C4×C17—42no—
200C4⋊C4×C17—42no—
201C22⋊C4×C17—22no—
202C22⋊C4×C17—22no—
203C22⋊C4×C17—42no—
204C42×C17—21no—
205C42×C17—21no—
206C42×C17—21no—
207C42×C17—21no—
208C42×C17—42no—
209C42×C17—42no—
210C22⋊Dic17—24no—
211#63231—28no—
212#63231—44no—
213C4⋊Dic17—21no—
214C4⋊Dic17—21no—
215C4⋊Dic17—21no—
216C4⋊Dic17—21no—
217C4⋊Dic17—42no—
218C4⋊Dic17C22×C412yes—
219C4⋊Dic17C2×D412yes—
220#63225—24no—
221#63225—42no—
222#63225—81no—
223C4×Dic17—42no—
224C4×Dic17—81no—
225C2×#3622—21no—
226C2×#3622—21no—
227C2×#3622—21no—
228C2×#3622—21no—
229C2×#3622—21no—
230C2×#3622—21no—
231C2×#3622—21no—
232C2×#3622—21no—
233C2×#3622—21no—
234C2×#3622—44no—
235C2×#3622C22×C412yes—
236C2×#3622C22×C412yes—
237C2×#3622C2×D412yes—
238#22859—171nomaximal, Sylow
239C23×C17—21no—
240C23×C17—21no—
241C23×C17—21no—
242C23×C17—21no—
243C23×C17C4×D412yes—
244C23×C17#13712yes—
245C23×C17#13712yes—
246C23×C17C22×D411yescharacteristic
247Q8×C17—22no—
248Q8×C17—22no—
249Q8×C17—22no—
250Q8×C17—22no—
251Q8×C17—22no—
252Q8×C17—48no—
253Q8×C17—41no—
254Q8×C17—41no—
255Q8×C17C4×D414yes—
256C2×C4×C17—22no—
257C2×C4×C17—22no—
258C2×C4×C17—21no—
259C2×C4×C17—22no—
260C2×C4×C17—21no—
261C2×C4×C17—22no—
262C2×C4×C17—22no—
263C2×C4×C17—22no—
264C2×C4×C17—22no—
265C2×C4×C17—22no—
266C2×C4×C17—21no—
267C2×C4×C17—21no—
268C2×C4×C17—21no—
269C2×C4×C17—21no—
270C2×C4×C17—21no—
271C2×C4×C17—21no—
272C2×C4×C17—21no—
273C2×C4×C17—21no—
274C2×C4×C17—21no—
275C2×C4×C17—21no—
276C2×C4×C17—21no—
277C2×C4×C17—21no—
278C2×C4×C17—48no—
279C2×C4×C17—41no—
280C2×C4×C17—41no—
281C2×C4×C17—41no—
282C2×C4×C17—41no—
283C2×C4×C17—41no—
284C2×C4×C17—41no—
285C2×C4×C17—41no—
286C2×C4×C17—41no—
287C2×C4×C17C4×D412yes—
288C2×C4×C17C23×C411yescharacteristic
289C2×C4×C17C22×D411yescharacteristic
290C2×C4×C17C2×#4111yescharacteristic
291C2×C4×C17C2×#4111yescharacteristic
292C2×C4×C17H(5,𝔽2)11yescharacteristic
293C2×C4×C17H(5,𝔽2)11yescharacteristic
294C2×Dic17—22no—
295C2×Dic17—22no—
296C2×Dic17—22no—
297C2×Dic17—41no—
298C2×Dic17—41no—
299C2×Dic17—41no—
300C2×Dic17—41no—
301C2×Dic17—41no—
302C2×Dic17—41no—
303C2×Dic17—41no—
304C2×Dic17—41no—
305C2×Dic17—41no—
306C2×Dic17—84no—
307Dic34—22no—
308Dic34—22no—
309Dic34—41no—
310Dic34—41no—
311#3622—22no—
312#3622—22no—
313#3622—22no—
314#3622—41no—
315C2×#451—171no—
316C2×#441—171no—
317C22×#103—171no—
318#2360—171no—
319Q8×C22⋊C4D1711yescharacteristic
320#1971—171no—
321#1935—171no—
322#1927—171no—
323#1892—171no—
324#1878—171no—
325#1878—171no—
326#1865—171no—
327#1853—171no—
328#1763—171no—
329#1752—171no—
330C22×C17—22no—
331C22×C17—22no—
332C22×C17—22no—
333C22×C17—22no—
334C22×C17—22no—
335C22×C17—22no—
336C22×C17#44114yescomplemented
337C22×C17C2×C4×D411yescharacteristic
338C22×C17D4211yescharacteristic
339C22×C17#54611yescharacteristic
340C22×C17C2×#13711yescharacteristic
341C22×C17C2×#13711yescharacteristic
342C22×C17#57711yescharacteristic
343C22×C17#57811yescharacteristic
344C4×C17—22no—
345C4×C17—24no—
346C4×C17—42no—
347C4×C17—41no—
348C4×C17—41no—
349C4×C17—41no—
350C4×C17—41no—
351C4×C17—81no—
352C4×C17—81no—
353C4×C17C2×C4×D411yescharacteristic
354C4×C17#51811yescharacteristic
355C4×C17#54611yescharacteristic
356C4×C17#55111yescharacteristic
357Dic17—42no—
358Dic17—42no—
359Dic17—42no—
360Dic17—81no—
361C23×Q8C2×D1711yescharacteristic
362C22×Q16—171no—
363C22×Q16—171no—
364C23×C8—171no—
365C2×C22⋊Q8—171no—
366C2×C4×Q8—171no—
367C2×C4×Q8C2×D1711yescharacteristic
368C2×C4×Q8C2×D1711yescharacteristic
369C22×C4⋊C4—171no—
370#451—178no—
371#441—344no—
372C2×#106—171no—
373C2×#106—171no—
374C2×#103—171no—
375C2×#103—171no—
376C2×#103—171no—
377C2×#103—171no—
378C2×#103—171no—
379C2×#103—171no—
380C2×#103—171no—
381C2×#103—171no—
382C2×#103—344no—
383C2×C22⋊C8—171no—
384C2×#97—171no—
385C2×#97—171no—
386#391—21no—
387#391—21no—
388#391—171no—
389#391C2×D1711yescharacteristic
390#391C2×D1711yescharacteristic
391#389—171no—
392#389—341no—
393#387—341no—
394#385—341no—
395#380—21no—
396#380C2×D1711yescharacteristic
397C4×C4⋊C4—171no—
398C4×C22⋊C4—21no—
399C4×C22⋊C4—341no—
400C4×C22⋊C4C2×D1711yescharacteristic
401#340—171no—
402#340—171no—
403#340—171no—
404#340—171no—
405#336—171no—
406#336—171no—
407C2×C17—24no—
408C2×C17#235811yescharacteristic
409C2×C17C2×#44111yescharacteristic
410C2×C17#294711yescharacteristic
411C2×C17#326611yescharacteristic
412C2×C17#327011yescharacteristic
413C2×C17#331211yescharacteristic
414C2×C17#331611yescharacteristic
415C22×Q8—22no—
416C22×Q8—21no—
417C22×Q8—22no—
418C22×Q8—22no—
419C22×Q8—41no—
420C22×Q8—41no—
421C22×Q8—171no—
422C22×Q8C4×D1714yes—
423C22×Q8C22×D1711yescharacteristic
424C22×Q8C22×D1711yescharacteristic
425C23×C4—21no—
426C23×C4—341no—
427C23×C4C22×D1711yescharacteristic
428C2×Q16—174no—
429C2×Q16—174no—
430C2×Q16—342no—
431C2×Q16—342no—
432C2×Q16—681no—
433C2×Q16—681no—
434C22×C8—171no—
435C22×C8—171no—
436C22×C8—171no—
437C22×C8—171no—
438C22×C8—342no—
439C22×C8—342no—
440C22×C8—681no—
441C22⋊Q8—174no—
442C22⋊Q8—342no—
443C4×Q8—22no—
444C4×Q8—22no—
445C4×Q8—41no—
446C4×Q8—41no—
447C4×Q8—342no—
448C4×Q8—681no—
449C2×C4⋊C4—21no—
450C2×C4⋊C4—21no—
451C2×C4⋊C4—171no—
452C2×C4⋊C4—171no—
453C2×C4⋊C4—171no—
454C2×C4⋊C4—342no—
455C2×C4⋊C4—341no—
456C2×C4⋊C4—341no—
457C2×C4⋊C4—341no—
458C2×C4⋊C4—341no—
459C2×C4⋊C4—681no—
460C2×C4⋊C4C22×D1711yescharacteristic
461C2×C4⋊C4C22×D1711yescharacteristic
462C2×C22⋊C4—21no—
463C2×C22⋊C4—341no—
464C2×C22⋊C4C22⋊D1711yescharacteristic
465C2×C22⋊C4C22⋊D1711yescharacteristic
466C2×C42—21no—
467C2×C42—21no—
468C2×C42—341no—
469C2×C42—341no—
470C2×C42C22×D1711yescharacteristic
471C2×C42C22×D1711yescharacteristic
472#106—342no—
473#106—681no—
474#103—174no—
475#103—174no—
476#103—174no—
477#103—342no—
478#103—342no—
479#103—342no—
480#103—342no—
481#103—681no—
482C22⋊C8—174no—
483#97—342no—
484#97—681no—
485#95—21no—
486#95—21no—
487#95—21no—
488#95—21no—
489#95—21no—
490#95—341no—
491#95—341no—
492#95—341no—
493#95—341no—
494#95C22⋊D1711yescharacteristic
495#95C22⋊D1711yescharacteristic
496C17#2285911yescharacteristic, complemented, Sylow
497C24C2×C22⋊D1711yescharacteristic
498C2×Q8—21no—
499C2×Q8—21no—
500C2×Q8—21no—
501C2×Q8—21no—
502C2×Q8—24no—
503C2×Q8—28no—
504C2×Q8—21no—
505C2×Q8—21no—
506C2×Q8—21no—
507C2×Q8—21no—
508C2×Q8—42no—
509C2×Q8—42no—
510C2×Q8—44no—
511C2×Q8—44no—
512C2×Q8—44no—
513C2×Q8—172no—
514C2×Q8—341no—
515C2×Q8—341no—
516C2×Q8—341no—
517C2×Q8—341no—
518C2×Q8—341no—
519C2×Q8C2×C4×D1712yes—
520C2×Q8C2×C4×D1712yes—
521C2×Q8D4×D1712yes—
522C2×Q8#6325412yes—
523C22×C4—21no—
524C22×C4—21no—
525C22×C4—21no—
526C22×C4—21no—
527C22×C4—21no—
528C22×C4—21no—
529C22×C4—24no—
530C22×C4—21no—
531C22×C4—21no—
532C22×C4—42no—
533C22×C4—42no—
534C22×C4—341no—
535C22×C4—341no—
536C22×C4—341no—
537C22×C4—341no—
538C22×C4—682no—
539C22×C4—682no—
540C22×C4—1361no—
541C22×C4C2×C4×D1712yes—
542C22×C4#6325212yes—
543C22×C4C2×C22⋊D1711yescharacteristic
544C22×C4C2×C22⋊D1711yescharacteristic
545C22×C4C2×C22⋊D1711yescharacteristic
546C22×C4C2×C22⋊D1711yescharacteristic
547C22×C4C2×C22⋊D1711yescharacteristic
548C22×C4C23×D1711yescharacteristic
549Q16—348no—
550Q16—684no—
551C2×C8—172no—
552C2×C8—172no—
553C2×C8—172no—
554C2×C8—341no—
555C2×C8—341no—
556C2×C8—341no—
557C2×C8—341no—
558C2×C8—341no—
559C2×C8—341no—
560C2×C8—341no—
561C2×C8—341no—
562C2×C8—341no—
563C2×C8—684no—
564C4⋊C4—21no—
565C4⋊C4—21no—
566C4⋊C4—21no—
567C4⋊C4—21no—
568C4⋊C4—42no—
569C4⋊C4—42no—
570C4⋊C4—172no—
571C4⋊C4—172no—
572C4⋊C4—341no—
573C4⋊C4—341no—
574C4⋊C4—344no—
575C4⋊C4—341no—
576C4⋊C4—341no—
577C4⋊C4—682no—
578C4⋊C4—682no—
579C4⋊C4—1361no—
580C22⋊C4—22no—
581C22⋊C4—22no—
582C22⋊C4—42no—
583C22⋊C4—344no—
584C42—21no—
585C42—21no—
586C42—21no—
587C42—21no—
588C42—42no—
589C42—42no—
590C42—682no—
591C42—1361no—
592C23—21no—
593C23—21no—
594C23—21no—
595C23—21no—
596C23C4×C22⋊D1712yes—
597C23#1058762812yes—
598C23#1058763712yes—
599C23C22×C22⋊D1711yescharacteristic
600Q8—22no—
601Q8—22no—
602Q8—22no—
603Q8—22no—
604Q8—22no—
605Q8—48no—
606Q8—41no—
607Q8—41no—
608Q8—342no—
609Q8—342no—
610Q8—681no—
611Q8—681no—
612Q8#1058756714yes—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—21no—
616C2×C4—22no—
617C2×C4—21no—
618C2×C4—22no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—48no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—342no—
645C2×C4—342no—
646C2×C4—342no—
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—1364no—
657C2×C4C4×C22⋊D1712yes—
658C2×C4C22×C4×D1711yescharacteristic
659C2×C4C2×#6325211yescharacteristic
660C2×C4C2×D4×D1711yescharacteristic
661C2×C4C2×#6325411yescharacteristic
662C2×C4#1058769111yescharacteristic
663C2×C4#1058769111yescharacteristic
664C8—342no—
665C8—342no—
666C8—342no—
667C8—681no—
668C22—22no—
669C22—22no—
670C22—22no—
671C22—22no—
672C22—22no—
673C22—22no—
674C22#1176291414yescomplemented
675C22C2×C4×C22⋊D1711yescharacteristic
676C22D4×C22⋊D1711yescharacteristic
677C22#1176345311yescharacteristic
678C22C2×#1058763711yescharacteristic
679C22C2×#1058762811yescharacteristic
680C22#1176361711yescharacteristic
681C22#1176362411yescharacteristic
682C4—22no—
683C4—24no—
684C4—41no—
685C4—41no—
686C4—41no—
687C4—41no—
688C4—42no—
689C4—81no—
690C4—81no—
691C4—682no—
692C4—682no—
693C4—682no—
694C4—1361no—
695C4C2×#1058756711yescharacteristic
696C4#1176328211yescharacteristic
697C4#1176344911yescharacteristic
698C4#1176348511yescharacteristic
699C2—24no—
700C2#1453176311yescharacteristic
701C2C2×#1176291411yescharacteristic
702C2#1453762711yescharacteristic
703C2#1454029511yescharacteristic
704C2#1454035011yescharacteristic
705C2#1454083511yescharacteristic
706C2#1454089511yescharacteristic
subgroupG/H
centerC23C22×C22⋊D17
commutatorC2×C4×C17C23×C4
FrattiniC22×C4C23×D17
FittingQ8×C22⋊C4×C17C2
socleC23×C17C22×D4
prime radicalC24×C17C2×D4
cosocleC22×C4×C17C24
hypercenterQ8×C22⋊C4D17
hypocenterC17#22859
LCSG ▷ C2×C4×C17 ▷ C2×C17 ▷ C17
UCSC1 ◁ C23 ◁ C4×C22⋊C4 ◁ Q8×C22⋊C4

Complements

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

NH ≅ G/Ntype
2. C2×#11762914C2semidirect
5. #14529654C2semidirect
6. #14529477C2semidirect
7. #14529415C2semidirect
9. #14529128C2semidirect
10. #14529125C2semidirect
11. #14529052C2semidirect
13. #14528614C2semidirect
22. #11762965C4semidirect
95. C2×#63231C2×C4semidirect
96. C2×#63231C2×C4semidirect
129. #10587506C2×C4semidirect
130. #10587506C2×C4semidirect
336. C22×C17#441semidirect
496. C17#22859semidirect
674. C22#11762914semidirect

Maximal subgroups

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

subgroupindex
C2×#117629652
C2×#117629142
C22×#105875062
#145317872
#145296542
#145294772
#145294152
#145292052
#145291282
#145291252
#145290522
#145289762
#145286142
#145285622
Q8×C22⋊C4×C172
#2285917