Finite Group Databasebeta

← C2×#14536985 #17240568

Subgroups — C2×#14536985 #17240568

Order 4352.

1850 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
1#14536985C2116yesmaximal, direct product factor
2C2×#11762750C211yesmaximal, characteristic, complemented
3C2×#11762748C211yesmaximal, characteristic, complemented
4C2×#11762745C211yesmaximal, characteristic
5C2×#11762742C211yesmaximal, characteristic, complemented
6C2×#11762741C211yesmaximal, characteristic, complemented
7C2×#11762740C211yesmaximal, characteristic, complemented
8C2×#11762739C211yesmaximal, characteristic, complemented
9C2×#11762737C211yesmaximal, characteristic
10C2×#11762737C211yesmaximal, characteristic
11C2×#11762734C211yesmaximal, characteristic
12C2×#11762732C211yesmaximal, characteristic
13C2×#11762705C211yesmaximal, characteristic, complemented
14C2×#11762702C211yesmaximal, characteristic
15C2×#11762695C211yesmaximal, characteristic, complemented
16C2×C17×#396C211yesmaximal, characteristic
17C22×C4⋊Dic17C2211yescharacteristic
18C22×C4⋊Dic17C2211yescharacteristic
19C22×C4⋊Dic17C2211yescharacteristic
20C22×C4⋊Dic17C2211yescharacteristic
21C22×#63225C2211yescharacteristic
22C22×#63225C2211yescharacteristic
23C22×#63225C2211yescharacteristic
24C22×#63225C2211yescharacteristic
25C22×#63225C2211yescharacteristic
26C22×#63225C2211yescharacteristic
27C22×C22⋊Dic17C2211yescharacteristic
28C22×C22⋊Dic17C2211yescharacteristic
29C22×C22⋊Dic17C2211yescharacteristic
30C22×C22⋊Dic17C2211yescharacteristic
31C22×C4×Dic17C2211yescharacteristic
32#11762750C2218yescomplemented
33#11762748C2218yescomplemented
34#11762745C2218yes—
35#11762742C2218yescomplemented
36#11762741C2218yescomplemented
37#11762740C2218yescomplemented
38#11762739C2218yescomplemented
39#11762737C2218yes—
40#11762737C2218yes—
41#11762734C2218yes—
42#11762732C2218yes—
43#11762705C2218yescomplemented
44#11762702C2218yes—
45#11762695C2218yescomplemented
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
59C22×C4⋊C4×C17C2211yescharacteristic
60C22×C4⋊C4×C17C2211yescharacteristic
61C22×C4⋊C4×C17C2211yescharacteristic
62C22×C22⋊C4×C17C2211yescharacteristic
63C22×C22⋊C4×C17C2211yescharacteristic
64C22×C22⋊C4×C17C2211yescharacteristic
65C17×#396C2218yes—
66C2×C17×#95C2211yescharacteristic
67C25×C17C2311yescharacteristic
68C23×C4×C17C2311yescharacteristic
69C23×C4×C17C2311yescharacteristic
70C23×C4×C17C2311yescharacteristic
71C23×C4×C17C2311yescharacteristic
72C23×C4×C17C2311yescharacteristic
73C23×C4×C17C2311yescharacteristic
74C23×Dic17C2311yescharacteristic
75C23×Dic17C2311yescharacteristic
76C23×Dic17C2311yescharacteristic
77C23×Dic17C2311yescharacteristic
78C23×Dic17C2311yescharacteristic
79C23×Dic17C2311yescharacteristic
80C23×Dic17C2311yescharacteristic
81C23×Dic17C2311yescharacteristic
82C2×C4⋊C4×C17—24no—
83C2×C4⋊C4×C17—42no—
84C2×C4⋊C4×C17—42no—
85C2×C4⋊C4×C17C2314yes—
86C2×C4⋊C4×C17C2314yes—
87C2×C4⋊C4×C17C2314yes—
88C2×C22⋊C4×C17—24no—
89C2×C22⋊C4×C17—42no—
90C2×C22⋊C4×C17—42no—
91C2×C22⋊C4×C17C2314yes—
92C2×C22⋊C4×C17C2314yes—
93C2×C22⋊C4×C17C2314yes—
94C2×C22⋊Dic17—42no—
95C2×C22⋊Dic17—42no—
96C2×C22⋊Dic17—42no—
97C2×C22⋊Dic17—42no—
98C2×C22⋊Dic17C2314yes—
99C2×C22⋊Dic17C2314yes—
100C2×C22⋊Dic17C2314yes—
101C2×C22⋊Dic17C2314yes—
102C2×C4⋊Dic17—24no—
103C2×C4⋊Dic17—42no—
104C2×C4⋊Dic17—42no—
105C2×C4⋊Dic17—42no—
106C2×C4⋊Dic17C2314yes—
107C2×C4⋊Dic17C2314yes—
108C2×C4⋊Dic17C2314yes—
109C2×C4⋊Dic17C2314yes—
110C2×#63225—42no—
111C2×#63225—42no—
112C2×#63225—42no—
113C2×#63225—42no—
114C2×#63225—42no—
115C2×#63225—42no—
116C2×#63225C2314yes—
117C2×#63225C2314yes—
118C2×#63225C2314yes—
119C2×#63225C2314yes—
120C2×#63225C2314yes—
121C2×#63225C2314yes—
122C2×C4×Dic17—42no—
123C2×C4×Dic17C2314yes—
124C17×#95C2314yes—
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—22no—
143C24×C17—22no—
144C24×C17—22no—
145C24×C17C2412yes—
146C24×C17C2411yescharacteristic
147C22×C4×C17—22no—
148C22×C4×C17—22no—
149C22×C4×C17—22no—
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#4114yes—
165C22×C4×C17C2412yes—
166C22×C4×C17C2412yes—
167C22×C4×C17C2412yes—
168C22×C4×C17C2412yes—
169C22×C4×C17C2412yes—
170C22×C4×C17C2412yes—
171C22×Dic17—22no—
172C22×Dic17—22no—
173C22×Dic17—22no—
174C22×Dic17—22no—
175C22×Dic17—22no—
176C22×Dic17—22no—
177C22×Dic17—22no—
178C22×Dic17—22no—
179C22×Dic17—22no—
180C22×Dic17—22no—
181C22×Dic17—22no—
182C22×Dic17—22no—
183C22×Dic17—22no—
184C22×Dic17—22no—
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×Dic17C2412yes—
196C22×Dic17C2412yes—
197C22×Dic17C2412yes—
198C22×Dic17C2412yes—
199C22×Dic17C2412yes—
200C22×Dic17C2412yes—
201C22×Dic17C2412yes—
202C22×Dic17C2412yes—
203C4⋊C4×C17—28no—
204C4⋊C4×C17—44no—
205C4⋊C4×C17—44no—
206C22⋊C4×C17—28no—
207C22⋊C4×C17—44no—
208C22⋊C4×C17—44no—
209C22⋊Dic17—44no—
210C22⋊Dic17—44no—
211C22⋊Dic17—44no—
212C22⋊Dic17—44no—
213C4⋊Dic17—28no—
214C4⋊Dic17—44no—
215C4⋊Dic17—44no—
216C4⋊Dic17—44no—
217#63225—44no—
218#63225—44no—
219#63225—44no—
220#63225—44no—
221#63225—44no—
222#63225—44no—
223C4×Dic17—44no—
224C2×#2836—171nomaximal, Sylow
225C23×C17—22no—
226C23×C17—22no—
227C23×C17—22no—
228C23×C17—22no—
229C23×C17—22no—
230C23×C17—22no—
231C23×C17—22no—
232C23×C17—44no—
233C23×C17—44no—
234C23×C17—44no—
235C23×C17—44no—
236C23×C17—44no—
237C23×C17—44no—
238C23×C17—44no—
239C23×C17C2×#4112yes—
240C23×C17H(5,𝔽2)12yes—
241C23×C17H(5,𝔽2)12yes—
242C23×C17H(5,𝔽2)12yes—
243C23×C172−1+412yes—
244C23×C172−1+412yes—
245C23×C172−1+412yes—
246C23×C17C2511yescharacteristic
247C2×C4×C17—28no—
248C2×C4×C17—22no—
249C2×C4×C17—22no—
250C2×C4×C17—22no—
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—44no—
266C2×C4×C17—44no—
267C2×C4×C17—44no—
268C2×C4×C17—44no—
269C2×C4×C17—44no—
270C2×C4×C17C2×#4114yes—
271C2×Dic17—22no—
272C2×Dic17—22no—
273C2×Dic17—22no—
274C2×Dic17—22no—
275C2×Dic17—22no—
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—44no—
296C2×Dic17—44no—
297C2×Dic17—44no—
298C2×Dic17—44no—
299C2×Dic17—44no—
300C2×Dic17—44no—
301C2×Dic17—44no—
302C2×Dic17—44no—
303#2836—1716no—
304C2×#400—171no—
305C2×#400—171no—
306C2×#399—171no—
307C2×#398—171no—
308C2×#398—171no—
309C2×#398—171no—
310C2×#398—171no—
311C2×#397—171no—
312C2×#397—171no—
313C2×#397—171no—
314C2×#396—171no—
315C2×#396D1711yescharacteristic
316C2×#389—171no—
317C2×#388—171no—
318C2×#387—171no—
319C22×C17—42no—
320C22×C17—42no—
321C22×C17—42no—
322C22×C17—42no—
323C22×C17—42no—
324C22×C17—42no—
325C22×C17—42no—
326C22×C17—88no—
327C22×C17#53914yes—
328C22×C17#54014yes—
329C22×C17#54114yes—
330C22×C17#56214yes—
331C22×C17#56214yes—
332C22×C17#56314yes—
333C22×C17#56314yes—
334C22×C17C22×#4111yescharacteristic
335C22×C17C2×H(5,𝔽2)11yescharacteristic
336C22×C17C2×H(5,𝔽2)11yescharacteristic
337C22×C17C2×H(5,𝔽2)11yescharacteristic
338C22×C17C2×2−1+411yescharacteristic
339C22×C17C2×2−1+411yescharacteristic
340C22×C17C2×2−1+411yescharacteristic
341C4×C17—24no—
342C4×C17—42no—
343C4×C17—42no—
344C4×C17—42no—
345C4×C17—42no—
346C4×C17—42no—
347Dic17—42no—
348Dic17—42no—
349Dic17—42no—
350Dic17—42no—
351Dic17—42no—
352Dic17—42no—
353Dic17—42no—
354Dic17—42no—
355C22×C4⋊C4—171no—
356C22×C4⋊C4—171no—
357C22×C4⋊C4—171no—
358C22×C4⋊C4—171no—
359C22×C4⋊C4—171no—
360C22×C4⋊C4—171no—
361C22×C4⋊C4—171no—
362C22×C4⋊C4—171no—
363C22×C4⋊C4—171no—
364C22×C4⋊C4—171no—
365C22×C4⋊C4C2×D1711yescharacteristic
366C22×C4⋊C4C2×D1711yescharacteristic
367C22×C4⋊C4C2×D1711yescharacteristic
368C22×C22⋊C4—171no—
369C22×C22⋊C4—171no—
370C22×C22⋊C4—171no—
371C22×C22⋊C4—171no—
372C22×C22⋊C4C2×D1711yescharacteristic
373C22×C22⋊C4C2×D1711yescharacteristic
374C22×C22⋊C4C2×D1711yescharacteristic
375C22×C42—171no—
376#400—178no—
377#400—178no—
378#399—178no—
379#398—178no—
380#398—178no—
381#398—178no—
382#398—178no—
383#397—178no—
384#397—178no—
385#397—178no—
386#396—178no—
387#396C2×D1718yes—
388#389—178no—
389#388—178no—
390#387—178no—
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×#95C2×D1711yescharacteristic
405C2×C17—82no—
406C2×C17#283618yescomplemented
407C2×C17C2×#53911yescharacteristic
408C2×C17C2×#54011yescharacteristic
409C2×C17C2×#54111yescharacteristic
410C2×C17C2×#56211yescharacteristic
411C2×C17C2×#56211yescharacteristic
412C2×C17C2×#56311yescharacteristic
413C2×C17C2×#56311yescharacteristic
414C25C22×D1711yescharacteristic
415C23×C4—171no—
416C23×C4—171no—
417C23×C4—171no—
418C23×C4—171no—
419C23×C4—171no—
420C23×C4—171no—
421C23×C4—171no—
422C23×C4—171no—
423C23×C4C22×D1711yescharacteristic
424C23×C4C22×D1711yescharacteristic
425C23×C4C22×D1711yescharacteristic
426C23×C4C22×D1711yescharacteristic
427C23×C4C22×D1711yescharacteristic
428C23×C4C22×D1711yescharacteristic
429C2×C4⋊C4—24no—
430C2×C4⋊C4—42no—
431C2×C4⋊C4—42no—
432C2×C4⋊C4—174no—
433C2×C4⋊C4—174no—
434C2×C4⋊C4—174no—
435C2×C4⋊C4—174no—
436C2×C4⋊C4—174no—
437C2×C4⋊C4—174no—
438C2×C4⋊C4—174no—
439C2×C4⋊C4—174no—
440C2×C4⋊C4—174no—
441C2×C4⋊C4—174no—
442C2×C4⋊C4—344no—
443C2×C4⋊C4—682no—
444C2×C4⋊C4—682no—
445C2×C4⋊C4—682no—
446C2×C4⋊C4—682no—
447C2×C4⋊C4—682no—
448C2×C4⋊C4—682no—
449C2×C4⋊C4—682no—
450C2×C4⋊C4—682no—
451C2×C4⋊C4—682no—
452C2×C4⋊C4C22×D1714yes—
453C2×C4⋊C4C22×D1714yes—
454C2×C4⋊C4C22×D1714yes—
455C2×C22⋊C4—24no—
456C2×C22⋊C4—42no—
457C2×C22⋊C4—42no—
458C2×C22⋊C4—174no—
459C2×C22⋊C4—174no—
460C2×C22⋊C4—174no—
461C2×C22⋊C4—174no—
462C2×C22⋊C4—682no—
463C2×C22⋊C4—682no—
464C2×C22⋊C4—682no—
465C2×C22⋊C4—682no—
466C2×C22⋊C4C22×D1714yes—
467C2×C22⋊C4C22×D1714yes—
468C2×C22⋊C4C22×D1714yes—
469C2×C42—174no—
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#95C22×D1714yes—
485C17C2×#283611yescharacteristic, complemented, Sylow
486C24—22no—
487C24—22no—
488C24—22no—
489C24—22no—
490C24—22no—
491C24—22no—
492C24—22no—
493C24C23×D1712yes—
494C24C23×D1711yescharacteristic
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—22no—
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—172no—
513C22×C4—172no—
514C22×C4—172no—
515C22×C4—172no—
516C22×C4—172no—
517C22×C4—172no—
518C22×C4—172no—
519C22×C4—172no—
520C22×C4—342no—
521C22×C4—342no—
522C22×C4—342no—
523C22×C4—342no—
524C22×C4—342no—
525C22×C4—342no—
526C22×C4—342no—
527C22×C4—342no—
528C22×C4—342no—
529C22×C4—342no—
530C22×C4—342no—
531C22×C4—342no—
532C22×C4—342no—
533C22×C4—342no—
534C22×C4—342no—
535C22×C4—342no—
536C22×C4—342no—
537C22×C4—342no—
538C22×C4—342no—
539C22×C4—342no—
540C22×C4—342no—
541C22×C4—342no—
542C22×C4—342no—
543C22×C4—342no—
544C22×C4#6325414yes—
545C22×C4C23×D1712yes—
546C22×C4C23×D1712yes—
547C22×C4C23×D1712yes—
548C22×C4C23×D1712yes—
549C22×C4C23×D1712yes—
550C22×C4C23×D1712yes—
551C4⋊C4—28no—
552C4⋊C4—44no—
553C4⋊C4—44no—
554C4⋊C4—348no—
555C4⋊C4—684no—
556C4⋊C4—684no—
557C4⋊C4—684no—
558C4⋊C4—684no—
559C4⋊C4—684no—
560C4⋊C4—684no—
561C4⋊C4—684no—
562C4⋊C4—684no—
563C4⋊C4—684no—
564C22⋊C4—28no—
565C22⋊C4—44no—
566C22⋊C4—44no—
567C22⋊C4—684no—
568C22⋊C4—684no—
569C22⋊C4—684no—
570C22⋊C4—684no—
571C42—684no—
572C23—22no—
573C23—22no—
574C23—22no—
575C23—22no—
576C23—22no—
577C23—22no—
578C23—22no—
579C23—44no—
580C23—44no—
581C23—44no—
582C23—44no—
583C23—44no—
584C23—44no—
585C23—44no—
586C23C2×#6325412yes—
587C23#1058769112yes—
588C23#1058769112yes—
589C23#1058769412yes—
590C23#1058769612yes—
591C23#1058769712yes—
592C23#1058769712yes—
593C23C24×D1711yescharacteristic
594C2×C4—22no—
595C2×C4—22no—
596C2×C4—28no—
597C2×C4—22no—
598C2×C4—22no—
599C2×C4—22no—
600C2×C4—22no—
601C2×C4—22no—
602C2×C4—22no—
603C2×C4—22no—
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—44no—
613C2×C4—44no—
614C2×C4—44no—
615C2×C4—44no—
616C2×C4—44no—
617C2×C4—342no—
618C2×C4—342no—
619C2×C4—342no—
620C2×C4—342no—
621C2×C4—342no—
622C2×C4—342no—
623C2×C4—342no—
624C2×C4—342no—
625C2×C4—342no—
626C2×C4—342no—
627C2×C4—342no—
628C2×C4—342no—
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—684no—
642C2×C4—684no—
643C2×C4—684no—
644C2×C4—684no—
645C2×C4—684no—
646C2×C4—684no—
647C2×C4—684no—
648C2×C4—684no—
649C2×C4C2×#6325414yes—
650C22—42no—
651C22—42no—
652C22—42no—
653C22—42no—
654C22—42no—
655C22—42no—
656C22—42no—
657C22—88no—
658C22#1176340414yes—
659C22#1176341214yes—
660C22#1176341914yes—
661C22#1176355414yes—
662C22#1176355514yes—
663C22#1176356014yes—
664C22#1176356114yes—
665C22C22×#6325411yescharacteristic
666C22C2×#1058769111yescharacteristic
667C22C2×#1058769111yescharacteristic
668C22C2×#1058769611yescharacteristic
669C22C2×#1058769711yescharacteristic
670C22C2×#1058769711yescharacteristic
671C22C2×#1058769411yescharacteristic
672C4—24no—
673C4—42no—
674C4—42no—
675C4—42no—
676C4—42no—
677C4—42no—
678C4—682no—
679C4—682no—
680C4—682no—
681C4—682no—
682C4—682no—
683C4—682no—
684C4—682no—
685C4—682no—
686C2—82no—
687C2#1453698518yesdirect product factor
688C2C2×#1176340411yescharacteristic
689C2C2×#1176341211yescharacteristic
690C2C2×#1176341911yescharacteristic
691C2C2×#1176355411yescharacteristic
692C2C2×#1176355511yescharacteristic
693C2C2×#1176356011yescharacteristic
694C2C2×#1176356111yescharacteristic
subgroupG/H
centerC24C23×D17
commutator, cosocleC23×C17C25
FrattiniC23C24×D17
FittingC2×C17×#396C2
socleC24×C17C24
prime radicalC25×C17C23
hypercenterC2×#396D17
hypocenterC17C2×#2836
LCSG ▷ C23×C17 ▷ C17
UCSC1 ◁ C24 ◁ C2×#396

Complements

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

NH ≅ G/Ntype
1. #14536985C2direct (N × H)
2. C2×#11762750C2semidirect
3. C2×#11762748C2semidirect
5. C2×#11762742C2semidirect
6. C2×#11762741C2semidirect
7. C2×#11762740C2semidirect
8. C2×#11762739C2semidirect
13. C2×#11762705C2semidirect
15. C2×#11762695C2semidirect
32. #11762750C22semidirect
33. #11762748C22semidirect
35. #11762742C22semidirect
36. #11762741C22semidirect
37. #11762740C22semidirect
38. #11762739C22semidirect
43. #11762705C22semidirect
45. #11762695C22semidirect
406. C2×C17#2836semidirect
485. C17C2×#2836semidirect
687. C2#14536985direct (N × H)

Maximal subgroups

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

subgroupindex
#145369852
C2×#117627502
C2×#117627482
C2×#117627452
C2×#117627422
C2×#117627412
C2×#117627402
C2×#117627392
C2×#117627372
C2×#117627342
C2×#117627322
C2×#117627052
C2×#117627022
C2×#117626952
C2×C17×#3962
C2×#283617