Finite Group Databasebeta

← C2×#14533175 #17203296

Subgroups — C2×#14533175 #17203296

Order 4352.

2398 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
1#14533175C2116yesmaximal, direct product factor
2C2×C17⋊#401C211yesmaximal, characteristic, complemented
3C2×#11762751C211yesmaximal, characteristic, complemented
4C2×#11762748C211yesmaximal, characteristic, complemented
5C2×#11762747C211yesmaximal, characteristic, complemented
6C2×#11762695C211yesmaximal, characteristic, complemented
7C2×#11762692C211yesmaximal, characteristic, complemented
8C2×#11762690C211yesmaximal, characteristic, complemented
9C2×#11762684C211yesmaximal, characteristic
10C2×#11762682C211yesmaximal, characteristic
11C2×#11762676C211yesmaximal, characteristic, complemented
12C2×#11762670C211yesmaximal, characteristic
13C2×#11762670C211yesmaximal, characteristic
14C2×C22⋊C4×Dic17C211yesmaximal, characteristic
15C22×#10587502C211yesmaximal, characteristic
16C2×C17×#380C211yesmaximal, characteristic
17C24×Dic17C2211yescharacteristic
18C24×Dic17C2211yescharacteristic
19C22×C4⋊Dic17C2211yescharacteristic
20C22×C4⋊Dic17C2211yescharacteristic
21C22×#63225C2211yescharacteristic
22C22×#63225C2211yescharacteristic
23C22×C22⋊Dic17C2211yescharacteristic
24C22×C22⋊Dic17C2211yescharacteristic
25C22×C4×Dic17C2211yescharacteristic
26C22×C4×Dic17C2211yescharacteristic
27C17⋊#401C2218yescomplemented
28#11762751C2218yescomplemented
29#11762748C2218yescomplemented
30#11762747C2218yescomplemented
31#11762695C2218yescomplemented
32#11762692C2218yescomplemented
33#11762690C2218yescomplemented
34#11762684C2218yes—
35#11762682C2218yes—
36#11762676C2218yescomplemented
37#11762670C2218yes—
38#11762670C2218yes—
39C22⋊C4×Dic17C2218yes—
40C2×#10587502C2218yes—
41C2×#10587502C2211yescharacteristic
42C2×#10587502C2211yescharacteristic
43C2×#10587502C2211yescharacteristic
44C2×#10587502C2211yescharacteristic
45C2×#10587502C2211yescharacteristic
46C2×#10587502C2211yescharacteristic
47C2×#10587502C2211yescharacteristic
48C2×#10587502C2211yescharacteristic
49C2×#10587502C2211yescharacteristic
50C2×#10587502C2211yescharacteristic
51C2×#10587502C2211yescharacteristic
52C2×#10587502C2211yescharacteristic
53C2×#10587502C2211yescharacteristic
54C2×#10587502C2211yescharacteristic
55C2×#10587502C2211yescharacteristic
56C2×#10587502C2211yescharacteristic
57C2×#10587502C2211yescharacteristic
58C2×#10587502C2211yescharacteristic
59C24×C4×C17C2211yescharacteristic
60C22×C4⋊C4×C17C2211yescharacteristic
61C22×C4⋊C4×C17C2211yescharacteristic
62C22×C22⋊C4×C17C2211yescharacteristic
63C22×C22⋊C4×C17C2211yescharacteristic
64C17×#380C2218yes—
65C2×C17×#95C2211yescharacteristic
66C2×C17×#95C2211yescharacteristic
67C25×C17C2311yescharacteristic
68C23×C4×C17—24no—
69C23×C4×C17—24no—
70C23×C4×C17—42no—
71C23×C4×C17C2311yescharacteristic
72C23×C4×C17C2311yescharacteristic
73C23×C4×C17C2311yescharacteristic
74C23×C4×C17C2311yescharacteristic
75C23×C4×C17C2311yescharacteristic
76C23×C4×C17C2314yes—
77C23×C4×C17C2311yescharacteristic
78C23×Dic17—24no—
79C23×Dic17—24no—
80C23×Dic17—24no—
81C23×Dic17—24no—
82C23×Dic17—24no—
83C23×Dic17—42no—
84C23×Dic17C2311yescharacteristic
85C23×Dic17C2311yescharacteristic
86C23×Dic17C2311yescharacteristic
87C23×Dic17C2311yescharacteristic
88C23×Dic17C2311yescharacteristic
89C23×Dic17C2311yescharacteristic
90C23×Dic17C2311yescharacteristic
91C23×Dic17C2314yes—
92C23×Dic17C2314yes—
93C23×Dic17C2311yescharacteristic
94C2×C4⋊C4×C17—24no—
95C2×C4⋊C4×C17—42no—
96C2×C4⋊C4×C17C2314yes—
97C2×C4⋊C4×C17C2314yes—
98C2×C22⋊C4×C17—24no—
99C2×C22⋊C4×C17—24no—
100C2×C22⋊C4×C17C2314yes—
101C2×C22⋊C4×C17C2314yes—
102C2×C22⋊Dic17—24no—
103C2×C22⋊Dic17—24no—
104C2×C22⋊Dic17C2314yes—
105C2×C22⋊Dic17C2314yes—
106C2×C4⋊Dic17—24no—
107C2×C4⋊Dic17—42no—
108C2×C4⋊Dic17C2314yes—
109C2×C4⋊Dic17C2314yes—
110C2×#63225—24no—
111C2×#63225—42no—
112C2×#63225C2314yes—
113C2×#63225C2314yes—
114C2×C4×Dic17—24no—
115C2×C4×Dic17—42no—
116C2×C4×Dic17C2314yes—
117C2×C4×Dic17C2314yes—
118C17×#95C2314yes—
119C17×#95C2314yes—
120#10587502C2314yes—
121#10587502C2314yes—
122#10587502C2314yes—
123#10587502C2314yes—
124#10587502C2314yes—
125#10587502C2314yes—
126#10587502C2314yes—
127#10587502C2314yes—
128#10587502C2314yes—
129#10587502C2314yes—
130#10587502C2314yes—
131#10587502C2314yes—
132#10587502C2314yes—
133#10587502C2314yes—
134#10587502C2314yes—
135#10587502C2314yes—
136#10587502C2314yes—
137#10587502C2314yes—
138C24×C17—22no—
139C24×C17—22no—
140C24×C17—22no—
141C24×C17—22no—
142C24×C17#4114yes—
143C24×C17#4114yes—
144C24×C17#4114yes—
145C24×C17C2412yes—
146C24×C17C2411yescharacteristic
147C22×C4×C17—22no—
148C22×C4×C17—22no—
149C22×C4×C17—28no—
150C22×C4×C17—22no—
151C22×C4×C17—22no—
152C22×C4×C17—22no—
153C22×C4×C17—22no—
154C22×C4×C17—22no—
155C22×C4×C17—22no—
156C22×C4×C17—22no—
157C22×C4×C17—22no—
158C22×C4×C17—22no—
159C22×C4×C17—22no—
160C22×C4×C17—22no—
161C22×C4×C17—22no—
162C22×C4×C17—22no—
163C22×C4×C17—22no—
164C22×C4×C17—22no—
165C22×C4×C17—28no—
166C22×C4×C17—44no—
167C22×C4×C17—416no—
168C22×C4×C17#4114yes—
169C22×C4×C17C2412yes—
170C22×C4×C17C2412yes—
171C22×C4×C17C2412yes—
172C22×C4×C17C2412yes—
173C22×C4×C17C2412yes—
174C22×C4×C17C2412yes—
175C22×Dic17—22no—
176C22×Dic17—22no—
177C22×Dic17—28no—
178C22×Dic17—22no—
179C22×Dic17—22no—
180C22×Dic17—28no—
181C22×Dic17—22no—
182C22×Dic17—22no—
183C22×Dic17—28no—
184C22×Dic17—28no—
185C22×Dic17—22no—
186C22×Dic17—22no—
187C22×Dic17—22no—
188C22×Dic17—22no—
189C22×Dic17—22no—
190C22×Dic17—22no—
191C22×Dic17—22no—
192C22×Dic17—22no—
193C22×Dic17—22no—
194C22×Dic17—22no—
195C22×Dic17—22no—
196C22×Dic17—22no—
197C22×Dic17—22no—
198C22×Dic17—22no—
199C22×Dic17—22no—
200C22×Dic17—22no—
201C22×Dic17—22no—
202C22×Dic17—28no—
203C22×Dic17—44no—
204C22×Dic17—416no—
205C22×Dic17—416no—
206C22×Dic17#4114yes—
207C22×Dic17C2412yes—
208C22×Dic17C2412yes—
209C22×Dic17C2412yes—
210C22×Dic17C2412yes—
211C22×Dic17C2412yes—
212C22×Dic17C2412yes—
213C22×Dic17C2412yes—
214C22×Dic17C2412yes—
215C4⋊C4×C17—28no—
216C4⋊C4×C17—44no—
217C22⋊C4×C17—28no—
218C22⋊C4×C17—28no—
219C22⋊Dic17—28no—
220C22⋊Dic17—28no—
221C4⋊Dic17—28no—
222C4⋊Dic17—44no—
223#63225—28no—
224#63225—44no—
225C4×Dic17—28no—
226C4×Dic17—44no—
227C2×#2493—171nomaximal, Sylow
228C23×C17—28no—
229C23×C17—28no—
230C23×C17—28no—
231C23×C17—28no—
232C23×C17—28no—
233C23×C17—28no—
234C23×C17—22no—
235C23×C17—22no—
236C23×C17—22no—
237C23×C17—22no—
238C23×C17#126116yes—
239C23×C17C2×#4114yes—
240C23×C17C2×#4112yes—
241C23×C17C2×#4114yes—
242C23×C17C2×#4112yes—
243C23×C17C2×#4112yes—
244C23×C17C2×#4114yes—
245C23×C17C2×#4112yes—
246C23×C17C2×#4112yes—
247C23×C17H(5,𝔽2)12yes—
248C23×C172−1+412yes—
249C23×C17C2511yescharacteristic
250C2×C4×C17—28no—
251C2×C4×C17—22no—
252C2×C4×C17—22no—
253C2×C4×C17—22no—
254C2×C4×C17—22no—
255C2×C4×C17—22no—
256C2×C4×C17—22no—
257C2×C4×C17—22no—
258C2×C4×C17—22no—
259C2×C4×C17—22no—
260C2×C4×C17—22no—
261C2×C4×C17—22no—
262C2×C4×C17—22no—
263C2×C4×C17—22no—
264C2×C4×C17—22no—
265C2×C4×C17—22no—
266C2×C4×C17—22no—
267C2×C4×C17—22no—
268C2×C4×C17—416no—
269C2×C4×C17—44no—
270C2×C4×C17—44no—
271C2×C4×C17—44no—
272C2×C4×C17—44no—
273C2×C4×C17—44no—
274C2×C4×C17C2×#4114yes—
275C2×Dic17—28no—
276C2×Dic17—22no—
277C2×Dic17—22no—
278C2×Dic17—22no—
279C2×Dic17—22no—
280C2×Dic17—22no—
281C2×Dic17—22no—
282C2×Dic17—22no—
283C2×Dic17—22no—
284C2×Dic17—22no—
285C2×Dic17—22no—
286C2×Dic17—22no—
287C2×Dic17—22no—
288C2×Dic17—22no—
289C2×Dic17—22no—
290C2×Dic17—22no—
291C2×Dic17—22no—
292C2×Dic17—22no—
293C2×Dic17—22no—
294C2×Dic17—22no—
295C2×Dic17—22no—
296C2×Dic17—22no—
297C2×Dic17—22no—
298C2×Dic17—22no—
299C2×Dic17—416no—
300C2×Dic17—416no—
301C2×Dic17—44no—
302C2×Dic17—44no—
303C2×Dic17—44no—
304C2×Dic17—44no—
305C2×Dic17—44no—
306C2×Dic17—44no—
307C2×Dic17—44no—
308C2×Dic17C2×#4114yes—
309#2493—1716no—
310C2×#401—171no—
311C2×#400—171no—
312C2×#400—171no—
313C2×#400—171no—
314C2×#387—171no—
315C2×#387—171no—
316C2×#387—171no—
317C2×#385—171no—
318C2×#385—171no—
319C2×#383—171no—
320C2×#381—171no—
321C2×#381—171no—
322C2×#380D1711yescharacteristic
323C2×C4×C22⋊C4—171no—
324C22×#95—171no—
325C22×C17—24no—
326C22×C17—24no—
327C22×C17—24no—
328C22×C17—24no—
329C22×C17—24no—
330C22×C17—24no—
331C22×C17—232no—
332C22×C17C2×#12618yes—
333C22×C17C2×#12614yes—
334C22×C17#52914yes—
335C22×C17#53914yes—
336C22×C17#55114yes—
337C22×C17#55114yes—
338C22×C17#55214yes—
339C22×C17#55214yes—
340C22×C17C22×#4111yescharacteristic
341C22×C17C22×#4111yescharacteristic
342C22×C17C22×#4111yescharacteristic
343C22×C17C22×#4111yescharacteristic
344C22×C17C22×#4111yescharacteristic
345C22×C17C2×H(5,𝔽2)11yescharacteristic
346C22×C17C2×2−1+411yescharacteristic
347C4×C17—24no—
348C4×C17—42no—
349C4×C17—42no—
350C4×C17—42no—
351C4×C17—42no—
352C4×C17—42no—
353Dic17—24no—
354Dic17—42no—
355Dic17—42no—
356Dic17—42no—
357Dic17—42no—
358Dic17—42no—
359Dic17—42no—
360Dic17—42no—
361C24×C4—171no—
362C24×C4—171no—
363C24×C4C2×D1711yescharacteristic
364C22×C4⋊C4—171no—
365C22×C4⋊C4—171no—
366C22×C4⋊C4—171no—
367C22×C4⋊C4—171no—
368C22×C4⋊C4C2×D1711yescharacteristic
369C22×C4⋊C4C2×D1711yescharacteristic
370C22×C22⋊C4—171no—
371C22×C22⋊C4—171no—
372C22×C22⋊C4C2×D1711yescharacteristic
373C22×C22⋊C4C2×D1711yescharacteristic
374C22×C42—171no—
375C22×C42—171no—
376#401—178no—
377#400—178no—
378#400—178no—
379#400—178no—
380#387—178no—
381#387—178no—
382#387—178no—
383#385—178no—
384#385—178no—
385#383—178no—
386#381—178no—
387#381—178no—
388#380C2×D1718yes—
389C4×C22⋊C4—178no—
390C2×#95—171no—
391C2×#95—171no—
392C2×#95—171no—
393C2×#95—171no—
394C2×#95—171no—
395C2×#95—171no—
396C2×#95—171no—
397C2×#95—171no—
398C2×#95—171no—
399C2×#95—171no—
400C2×#95—171no—
401C2×#95—171no—
402C2×#95—171no—
403C2×#95—171no—
404C2×#95—171no—
405C2×#95—178no—
406C2×#95—171no—
407C2×#95—171no—
408C2×#95—171no—
409C2×#95C2×D1711yescharacteristic
410C2×#95C2×D1711yescharacteristic
411C2×C17—28no—
412C2×C17#249318yescomplemented
413C2×C17C22×#12611yescharacteristic
414C2×C17C2×#52911yescharacteristic
415C2×C17C2×#53911yescharacteristic
416C2×C17C2×#55111yescharacteristic
417C2×C17C2×#55111yescharacteristic
418C2×C17C2×#55211yescharacteristic
419C2×C17C2×#55211yescharacteristic
420C25C22×D1711yescharacteristic
421C23×C4—24no—
422C23×C4—24no—
423C23×C4—42no—
424C23×C4—171no—
425C23×C4—174no—
426C23×C4—171no—
427C23×C4—171no—
428C23×C4—171no—
429C23×C4—171no—
430C23×C4—171no—
431C23×C4—171no—
432C23×C4—171no—
433C23×C4—174no—
434C23×C4—344no—
435C23×C4—344no—
436C23×C4—344no—
437C23×C4—344no—
438C23×C4—344no—
439C23×C4—682no—
440C23×C4C22×D1711yescharacteristic
441C23×C4C22×D1711yescharacteristic
442C23×C4C22×D1711yescharacteristic
443C23×C4C22×D1711yescharacteristic
444C23×C4C22×D1711yescharacteristic
445C23×C4C22×D1714yes—
446C23×C4C22×D1711yescharacteristic
447C2×C4⋊C4—24no—
448C2×C4⋊C4—42no—
449C2×C4⋊C4—174no—
450C2×C4⋊C4—174no—
451C2×C4⋊C4—174no—
452C2×C4⋊C4—174no—
453C2×C4⋊C4—344no—
454C2×C4⋊C4—344no—
455C2×C4⋊C4—682no—
456C2×C4⋊C4—682no—
457C2×C4⋊C4C22×D1714yes—
458C2×C4⋊C4C22×D1714yes—
459C2×C22⋊C4—24no—
460C2×C22⋊C4—24no—
461C2×C22⋊C4—174no—
462C2×C22⋊C4—174no—
463C2×C22⋊C4—344no—
464C2×C22⋊C4—344no—
465C2×C22⋊C4C22×D1714yes—
466C2×C22⋊C4C22×D1714yes—
467C2×C42—174no—
468C2×C42—174no—
469C2×C42—344no—
470C2×C42—682no—
471#95—174no—
472#95—174no—
473#95—174no—
474#95—174no—
475#95—174no—
476#95—174no—
477#95—174no—
478#95—174no—
479#95—174no—
480#95—174no—
481#95—174no—
482#95—174no—
483#95—174no—
484#95—174no—
485#95—174no—
486#95—174no—
487#95—174no—
488#95—174no—
489#95C22×D1714yes—
490#95C22×D1714yes—
491C17C2×#249311yescharacteristic, complemented, Sylow
492C24—22no—
493C24—22no—
494C24—22no—
495C24—22no—
496C24#6325214yes—
497C24#6325414yes—
498C24#6325614yes—
499C24C23×D1712yes—
500C24C23×D1711yescharacteristic
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—28no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—22no—
509C22×C4—22no—
510C22×C4—22no—
511C22×C4—22no—
512C22×C4—22no—
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—22no—
516C22×C4—22no—
517C22×C4—22no—
518C22×C4—22no—
519C22×C4—28no—
520C22×C4—44no—
521C22×C4—416no—
522C22×C4—174no—
523C22×C4—172no—
524C22×C4—172no—
525C22×C4—172no—
526C22×C4—172no—
527C22×C4—172no—
528C22×C4—172no—
529C22×C4—172no—
530C22×C4—172no—
531C22×C4—348no—
532C22×C4—342no—
533C22×C4—342no—
534C22×C4—342no—
535C22×C4—342no—
536C22×C4—348no—
537C22×C4—342no—
538C22×C4—342no—
539C22×C4—342no—
540C22×C4—342no—
541C22×C4—348no—
542C22×C4—342no—
543C22×C4—342no—
544C22×C4—342no—
545C22×C4—342no—
546C22×C4—342no—
547C22×C4—342no—
548C22×C4—342no—
549C22×C4—348no—
550C22×C4—342no—
551C22×C4—348no—
552C22×C4—342no—
553C22×C4—342no—
554C22×C4—342no—
555C22×C4—342no—
556C22×C4—342no—
557C22×C4—342no—
558C22×C4—342no—
559C22×C4—684no—
560C22×C4—6816no—
561C22×C4—6816no—
562C22×C4#6325414yes—
563C22×C4C23×D1712yes—
564C22×C4C23×D1712yes—
565C22×C4C23×D1712yes—
566C22×C4C23×D1712yes—
567C22×C4C23×D1712yes—
568C22×C4C23×D1712yes—
569C4⋊C4—28no—
570C4⋊C4—44no—
571C4⋊C4—348no—
572C4⋊C4—348no—
573C4⋊C4—684no—
574C4⋊C4—684no—
575C22⋊C4—28no—
576C22⋊C4—28no—
577C22⋊C4—348no—
578C22⋊C4—348no—
579C42—348no—
580C42—684no—
581C23—28no—
582C23—28no—
583C23—28no—
584C23—28no—
585C23—28no—
586C23—22no—
587C23—22no—
588C23—22no—
589C23—22no—
590C23—28no—
591C23#10587584116yes—
592C23C2×#6325214yes—
593C23C2×#6325212yes—
594C23C2×#6325414yes—
595C23C2×#6325412yes—
596C23C2×#6325412yes—
597C23#1058769112yes—
598C23C2×#6325614yes—
599C23C2×#6325612yes—
600C23#41×D1712yes—
601C23#1058769712yes—
602C23C24×D1711yescharacteristic
603C2×C4—28no—
604C2×C4—22no—
605C2×C4—22no—
606C2×C4—22no—
607C2×C4—22no—
608C2×C4—22no—
609C2×C4—22no—
610C2×C4—22no—
611C2×C4—22no—
612C2×C4—22no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—22no—
616C2×C4—22no—
617C2×C4—22no—
618C2×C4—22no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—416no—
622C2×C4—44no—
623C2×C4—44no—
624C2×C4—44no—
625C2×C4—44no—
626C2×C4—44no—
627C2×C4—174no—
628C2×C4—348no—
629C2×C4—342no—
630C2×C4—342no—
631C2×C4—342no—
632C2×C4—342no—
633C2×C4—342no—
634C2×C4—342no—
635C2×C4—342no—
636C2×C4—342no—
637C2×C4—342no—
638C2×C4—342no—
639C2×C4—342no—
640C2×C4—342no—
641C2×C4—342no—
642C2×C4—342no—
643C2×C4—342no—
644C2×C4—342no—
645C2×C4—342no—
646C2×C4—342no—
647C2×C4—342no—
648C2×C4—342no—
649C2×C4—342no—
650C2×C4—342no—
651C2×C4—342no—
652C2×C4—6816no—
653C2×C4—684no—
654C2×C4—684no—
655C2×C4—684no—
656C2×C4—684no—
657C2×C4—684no—
658C2×C4—6816no—
659C2×C4—684no—
660C2×C4—684no—
661C2×C4C2×#6325414yes—
662C22—24no—
663C22—232no—
664C22—24no—
665C22—24no—
666C22—24no—
667C22—24no—
668C22—24no—
669C22C2×#1058758418yes—
670C22C2×#1058758414yes—
671C22#1176334014yes—
672C22#1176340414yes—
673C22#1176348514yes—
674C22#1176348614yes—
675C22#1176349214yes—
676C22#1176350114yes—
677C22C2×#41×D1711yescharacteristic
678C22C22×#6325411yescharacteristic
679C22C22×#6325411yescharacteristic
680C22C22×#6325211yescharacteristic
681C22C22×#6325611yescharacteristic
682C22C2×#1058769111yescharacteristic
683C22C2×#1058769711yescharacteristic
684C4—24no—
685C4—42no—
686C4—42no—
687C4—42no—
688C4—42no—
689C4—42no—
690C4—344no—
691C4—682no—
692C4—682no—
693C4—682no—
694C4—682no—
695C4—682no—
696C4—682no—
697C4—682no—
698C2—28no—
699C2#1453317518yesdirect product factor
700C2C22×#1058758411yescharacteristic
701C2C2×#1176334011yescharacteristic
702C2C2×#1176340411yescharacteristic
703C2C2×#1176348511yescharacteristic
704C2C2×#1176348611yescharacteristic
705C2C2×#1176349211yescharacteristic
706C2C2×#1176350111yescharacteristic
subgroupG/H
centerC24C23×D17
commutator, cosocleC23×C17C25
FrattiniC23C24×D17
FittingC2×C17×#380C2
socleC24×C17C24
prime radicalC25×C17C23
hypercenterC2×#380D17
hypocenterC17C2×#2493
LCSG ▷ C23×C17 ▷ C17
UCSC1 ◁ C24 ◁ C2×#380

Complements

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

NH ≅ G/Ntype
1. #14533175C2direct (N × H)
2. C2×C17⋊#401C2semidirect
3. C2×#11762751C2semidirect
4. C2×#11762748C2semidirect
5. C2×#11762747C2semidirect
6. C2×#11762695C2semidirect
7. C2×#11762692C2semidirect
8. C2×#11762690C2semidirect
11. C2×#11762676C2semidirect
27. C17⋊#401C22semidirect
28. #11762751C22semidirect
29. #11762748C22semidirect
30. #11762747C22semidirect
31. #11762695C22semidirect
32. #11762692C22semidirect
33. #11762690C22semidirect
36. #11762676C22semidirect
412. C2×C17#2493semidirect
491. C17C2×#2493semidirect
699. C2#14533175direct (N × H)

Maximal subgroups

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

subgroupindex
#145331752
C2×C17⋊#4012
C2×#117627512
C2×#117627482
C2×#117627472
C2×#117626952
C2×#117626922
C2×#117626902
C2×#117626842
C2×#117626822
C2×#117626762
C2×#117626702
C2×C22⋊C4×Dic172
C22×#105875022
C2×C17×#3802
C2×#249317