Finite Group Databasebeta

← C2×#14533814 #17206141

Subgroups — C2×#14533814 #17206141

Order 4352.

2446 conjugacy classes of subgroups.

The subgroup lattice has 684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#10587575C211yesmaximal, characteristic
2C22×#10587575C211yesmaximal, characteristic
3#14533814C2116yesmaximal, direct product factor
4C2×#11762743C211yesmaximal, characteristic
5C2×#11762742C211yesmaximal, characteristic
6C2×#11762741C211yesmaximal, characteristic
7C2×#11762706C211yesmaximal, characteristic
8C2×#11762706C211yesmaximal, characteristic
9C2×#11762704C211yesmaximal, characteristic
10C2×#11762704C211yesmaximal, characteristic
11C2×#11762678C211yesmaximal, characteristic
12C2×#11762678C211yesmaximal, characteristic
13C2×#11762678C211yesmaximal, characteristic
14C2×#11762660C211yesmaximal, characteristic
15C2×#11762660C211yesmaximal, characteristic
16C2×C17×#398C211yesmaximal, characteristic
17C2×#10587575—28no—
18C2×#10587575—28no—
19C2×#10587575C2218yes—
20C2×#10587575C2218yes—
21C22×C4⋊Dic17C2211yescharacteristic
22C22×C4⋊Dic17C2211yescharacteristic
23C22×C4⋊Dic17C2211yescharacteristic
24C22×C4⋊Dic17C2211yescharacteristic
25C22×#63225C2211yescharacteristic
26C22×#63225C2211yescharacteristic
27C22×#63225C2211yescharacteristic
28C22×#63225C2211yescharacteristic
29C22×#63225C2211yescharacteristic
30C22×#63225C2211yescharacteristic
31C22×#63225C2211yescharacteristic
32C22×#63225C2211yescharacteristic
33C22×#63225C2211yescharacteristic
34C22×#63225C2211yescharacteristic
35C22×#63225C2211yescharacteristic
36C22×#63225C2211yescharacteristic
37C22×#63225C2211yescharacteristic
38C22×#63225C2211yescharacteristic
39C22×C4×Dic17C2211yescharacteristic
40C22×C4×Dic17C2211yescharacteristic
41C22×C4×Dic17C2211yescharacteristic
42C22×C4×Dic17C2211yescharacteristic
43C22×C4×Dic17C2211yescharacteristic
44#11762743C2218yes—
45#11762742C2218yes—
46#11762741C2218yes—
47#11762706C2218yes—
48#11762706C2218yes—
49#11762704C2218yes—
50#11762704C2218yes—
51#11762678C2218yes—
52#11762678C2218yes—
53#11762678C2218yes—
54#11762660C2218yes—
55#11762660C2218yes—
56C2×#10587502C2211yescharacteristic
57C2×#10587502C2211yescharacteristic
58C2×#10587502C2211yescharacteristic
59C2×#10587502C2211yescharacteristic
60C2×#10587502C2211yescharacteristic
61C22×C4⋊C4×C17C2211yescharacteristic
62C22×C4⋊C4×C17C2211yescharacteristic
63C22×C4⋊C4×C17C2211yescharacteristic
64C22×C4⋊C4×C17C2211yescharacteristic
65C17×#398C2218yes—
66C2×C17×#95C2211yescharacteristic
67C2×C17×#95C2211yescharacteristic
68C2×C17×#95C2211yescharacteristic
69C23×C4×C17C2311yescharacteristic
70C23×C4×C17C2311yescharacteristic
71C23×C4×C17C2311yescharacteristic
72C23×C4×C17C2311yescharacteristic
73C23×C4×C17C2311yescharacteristic
74C23×C4×C17C2311yescharacteristic
75C23×C4×C17C2311yescharacteristic
76C23×Dic17C2311yescharacteristic
77C23×Dic17C2311yescharacteristic
78C23×Dic17C2311yescharacteristic
79C23×Dic17C2311yescharacteristic
80C23×Dic17C2311yescharacteristic
81C23×Dic17C2311yescharacteristic
82C23×Dic17C2311yescharacteristic
83C23×Dic17C2311yescharacteristic
84C2×C4⋊C4×C17—24no—
85C2×C4⋊C4×C17—24no—
86C2×C4⋊C4×C17—42no—
87C2×C4⋊C4×C17—42no—
88C2×C4⋊C4×C17C2314yes—
89C2×C4⋊C4×C17C2314yes—
90C2×C4⋊C4×C17C2314yes—
91C2×C4⋊C4×C17C2314yes—
92C2×C4⋊Dic17—24no—
93C2×C4⋊Dic17—24no—
94C2×C4⋊Dic17—42no—
95C2×C4⋊Dic17—42no—
96C2×C4⋊Dic17C2314yes—
97C2×C4⋊Dic17C2314yes—
98C2×C4⋊Dic17C2314yes—
99C2×C4⋊Dic17C2314yes—
100C2×#63225—24no—
101C2×#63225—24no—
102C2×#63225—24no—
103C2×#63225—24no—
104C2×#63225—24no—
105C2×#63225—24no—
106C2×#63225—24no—
107C2×#63225—24no—
108C2×#63225—24no—
109C2×#63225—24no—
110C2×#63225—42no—
111C2×#63225—42no—
112C2×#63225D418yes—
113C2×#63225Q818yes—
114C2×#63225C2314yes—
115C2×#63225C2314yes—
116C2×#63225C2314yes—
117C2×#63225C2314yes—
118C2×#63225C2314yes—
119C2×#63225C2314yes—
120C2×#63225C2314yes—
121C2×#63225C2314yes—
122C2×#63225C2314yes—
123C2×#63225C2314yes—
124C2×#63225C2314yes—
125C2×#63225C2314yes—
126C2×#63225C2314yes—
127C2×#63225C2314yes—
128C2×C4×Dic17—24no—
129C2×C4×Dic17—24no—
130C2×C4×Dic17—24no—
131C2×C4×Dic17—24no—
132C2×C4×Dic17Q818yes—
133C2×C4×Dic17C2314yes—
134C2×C4×Dic17C2314yes—
135C2×C4×Dic17C2314yes—
136C2×C4×Dic17C2314yes—
137C2×C4×Dic17C2314yes—
138#10587575—232no—
139#10587575—232no—
140C17×#95C2314yes—
141C17×#95C2314yes—
142C17×#95C2314yes—
143#10587502C2314yes—
144#10587502C2314yes—
145#10587502C2314yes—
146#10587502C2314yes—
147#10587502C2314yes—
148C24×C17C2411yescharacteristic
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—22no—
165C22×C4×C17—22no—
166C22×C4×C17—22no—
167C22×C4×C17C2×D414yes—
168C22×C4×C17C2×Q814yes—
169C22×C4×C17C2×Q814yes—
170C22×C4×C17C2412yes—
171C22×C4×C17C2412yes—
172C22×C4×C17C2412yes—
173C22×C4×C17C2412yes—
174C22×C4×C17C2412yes—
175C22×C4×C17C2412yes—
176C22×C4×C17C2412yes—
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×Dic17C2×D414yes—
194C22×Dic17C2×D414yes—
195C22×Dic17C2×Q814yes—
196C22×Dic17C2×Q814yes—
197C22×Dic17C2×Q814yes—
198C22×Dic17C2×Q814yes—
199C22×Dic17#4114yes—
200C22×Dic17#4114yes—
201C22×Dic17C2412yes—
202C22×Dic17C2412yes—
203C22×Dic17C2412yes—
204C22×Dic17C2412yes—
205C22×Dic17C2412yes—
206C22×Dic17C2412yes—
207C22×Dic17C2412yes—
208C22×Dic17C2412yes—
209C4⋊C4×C17—28no—
210C4⋊C4×C17—28no—
211C4⋊C4×C17—44no—
212C4⋊C4×C17—44no—
213C4⋊Dic17—28no—
214C4⋊Dic17—28no—
215C4⋊Dic17—44no—
216C4⋊Dic17—44no—
217#63225—28no—
218#63225—28no—
219#63225—28no—
220#63225—28no—
221#63225—28no—
222#63225—28no—
223#63225—28no—
224#63225—28no—
225#63225—28no—
226#63225—28no—
227#63225—44no—
228#63225—44no—
229#63225C2×D4116yes—
230#63225C2×Q8116yes—
231C4×Dic17—28no—
232C4×Dic17—28no—
233C4×Dic17—28no—
234C4×Dic17—28no—
235C4×Dic17C2×Q8116yes—
236C2×#2552—171nomaximal, Sylow
237C23×C17C22×D412yes—
238C23×C17C22×Q812yes—
239C23×C17C22×Q812yes—
240C23×C17C2×#4112yes—
241C23×C17C2×#4112yes—
242C23×C17H(5,𝔽2)12yes—
243C23×C172−1+412yes—
244C23×C17C2511yescharacteristic
245C2×C4×C17—28no—
246C2×C4×C17—28no—
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—22no—
266C2×C4×C17—44no—
267C2×C4×C17—44no—
268C2×C4×C17—44no—
269C2×C4×C17—44no—
270C2×C4×C17C22×D414yes—
271C2×C4×C17C22×Q814yes—
272C2×C4×C17C22×Q814yes—
273C2×Dic17—28no—
274C2×Dic17—28no—
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—44no—
292C2×Dic17—44no—
293C2×Dic17—44no—
294C2×Dic17—44no—
295C2×Dic17#125116yescomplemented
296C2×Dic17C4⋊Q8116yes—
297C2×Dic17C22×D414yes—
298C2×Dic17C22×D414yes—
299C2×Dic17C22×Q814yes—
300C2×Dic17C22×Q814yes—
301C2×Dic17C22×Q814yes—
302C2×Dic17C22×Q814yes—
303C2×Dic17C2×#4114yes—
304C2×Dic17C2×#4114yes—
305C22×#125—171no—
306C22×#125—171no—
307#2552—1716no—
308C2×#398—171no—
309C2×#398—171no—
310C2×#398—171no—
311C2×#398D1711yescharacteristic
312C2×#389—171no—
313C2×#389—171no—
314C2×#389—171no—
315C2×#389—171no—
316C2×#384—171no—
317C2×#384—171no—
318C2×#384—171no—
319C2×C4×C4⋊C4—171no—
320C2×C4×C4⋊C4—171no—
321C22×C17C2×#12514yes—
322C22×C17C2×C4⋊Q814yes—
323C22×C17#54414yes—
324C22×C17#54714yes—
325C22×C17#55014yes—
326C22×C17#55414yes—
327C22×C17#55714yes—
328C22×C17C23×D411yescharacteristic
329C22×C17C23×Q811yescharacteristic
330C22×C17C23×Q811yescharacteristic
331C22×C17C22×#4111yescharacteristic
332C22×C17C22×#4111yescharacteristic
333C22×C17C2×H(5,𝔽2)11yescharacteristic
334C22×C17C2×2−1+411yescharacteristic
335C4×C17—24no—
336C4×C17—24no—
337C4×C17—24no—
338C4×C17—42no—
339C4×C17—42no—
340C4×C17—42no—
341C4×C17—42no—
342Dic17—24no—
343Dic17—24no—
344Dic17—42no—
345Dic17—42no—
346Dic17—42no—
347Dic17—42no—
348Dic17C2×#12518yescomplemented
349Dic17C2×C4⋊Q818yes—
350C2×#125—178no—
351C2×#125—178no—
352C2×#125—348no—
353C2×#125—348no—
354C22×C4⋊C4—171no—
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⋊C4—171no—
366C22×C4⋊C4—171no—
367C22×C4⋊C4—171no—
368C22×C4⋊C4—171no—
369C22×C4⋊C4—171no—
370C22×C4⋊C4—171no—
371C22×C4⋊C4—171no—
372C22×C4⋊C4C2×D1711yescharacteristic
373C22×C4⋊C4C2×D1711yescharacteristic
374C22×C4⋊C4C2×D1711yescharacteristic
375C22×C4⋊C4C2×D1711yescharacteristic
376C22×C42—171no—
377C22×C42—171no—
378C22×C42—171no—
379C22×C42—171no—
380C22×C42—171no—
381#398—178no—
382#398—178no—
383#398—178no—
384#398C2×D1718yes—
385#389—178no—
386#389—178no—
387#389—178no—
388#389—178no—
389#384—178no—
390#384—178no—
391#384—178no—
392C4×C4⋊C4—178no—
393C4×C4⋊C4—178no—
394C2×#95—171no—
395C2×#95—171no—
396C2×#95—171no—
397C2×#95—171no—
398C2×#95—171no—
399C2×#95C2×D1711yescharacteristic
400C2×#95C2×D1711yescharacteristic
401C2×#95C2×D1711yescharacteristic
402C2×C17#255218yescomplemented
403C2×C17C22×#12511yescharacteristic
404C2×C17C22×C4⋊Q811yescharacteristic
405C2×C17C2×#54411yescharacteristic
406C2×C17C2×#54711yescharacteristic
407C2×C17C2×#55011yescharacteristic
408C2×C17C2×#55411yescharacteristic
409C2×C17C2×#55711yescharacteristic
410C23×C4—171no—
411C23×C4—171no—
412C23×C4—171no—
413C23×C4—171no—
414C23×C4—171no—
415C23×C4—171no—
416C23×C4—171no—
417C23×C4—171no—
418C23×C4C22×D1711yescharacteristic
419C23×C4C22×D1711yescharacteristic
420C23×C4C22×D1711yescharacteristic
421C23×C4C22×D1711yescharacteristic
422C23×C4C22×D1711yescharacteristic
423C23×C4C22×D1711yescharacteristic
424C23×C4C22×D1711yescharacteristic
425#125—3432no—
426#125—3432no—
427C2×C4⋊C4—24no—
428C2×C4⋊C4—24no—
429C2×C4⋊C4—42no—
430C2×C4⋊C4—42no—
431C2×C4⋊C4—178no—
432C2×C4⋊C4—178no—
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—174no—
443C2×C4⋊C4—174no—
444C2×C4⋊C4—174no—
445C2×C4⋊C4—174no—
446C2×C4⋊C4—174no—
447C2×C4⋊C4—174no—
448C2×C4⋊C4—174no—
449C2×C4⋊C4—174no—
450C2×C4⋊C4—174no—
451C2×C4⋊C4—344no—
452C2×C4⋊C4—344no—
453C2×C4⋊C4—344no—
454C2×C4⋊C4—344no—
455C2×C4⋊C4—344no—
456C2×C4⋊C4—344no—
457C2×C4⋊C4—344no—
458C2×C4⋊C4—344no—
459C2×C4⋊C4—344no—
460C2×C4⋊C4—344no—
461C2×C4⋊C4—344no—
462C2×C4⋊C4—344no—
463C2×C4⋊C4—682no—
464C2×C4⋊C4—682no—
465C2×C4⋊C4—682no—
466C2×C4⋊C4—682no—
467C2×C4⋊C4C22×D1714yes—
468C2×C4⋊C4C22×D1714yes—
469C2×C4⋊C4C22×D1714yes—
470C2×C4⋊C4C22×D1714yes—
471C2×C42—178no—
472C2×C42—174no—
473C2×C42—174no—
474C2×C42—174no—
475C2×C42—174no—
476C2×C42—174no—
477C2×C42—344no—
478C2×C42—344no—
479C2×C42—344no—
480C2×C42—344no—
481#95—174no—
482#95—174no—
483#95—174no—
484#95—174no—
485#95—174no—
486#95C22×D1714yes—
487#95C22×D1714yes—
488#95C22×D1714yes—
489C17C2×#255211yescharacteristic, complemented, Sylow
490C24C23×D1711yescharacteristic
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—22no—
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—174no—
510C22×C4—174no—
511C22×C4—174no—
512C22×C4—174no—
513C22×C4—174no—
514C22×C4—174no—
515C22×C4—172no—
516C22×C4—172no—
517C22×C4—174no—
518C22×C4—174no—
519C22×C4—172no—
520C22×C4—172no—
521C22×C4—172no—
522C22×C4—172no—
523C22×C4—172no—
524C22×C4—172no—
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×C4D4×D1714yes—
542C22×C4Q8×D1714yes—
543C22×C4Q8×D1714yes—
544C22×C4C23×D1712yes—
545C22×C4C23×D1712yes—
546C22×C4C23×D1712yes—
547C22×C4C23×D1712yes—
548C22×C4C23×D1712yes—
549C22×C4C23×D1712yes—
550C22×C4C23×D1712yes—
551C4⋊C4—28no—
552C4⋊C4—28no—
553C4⋊C4—44no—
554C4⋊C4—44no—
555C4⋊C4—1716no—
556C4⋊C4—1716no—
557C4⋊C4—348no—
558C4⋊C4—348no—
559C4⋊C4—348no—
560C4⋊C4—348no—
561C4⋊C4—348no—
562C4⋊C4—348no—
563C4⋊C4—348no—
564C4⋊C4—348no—
565C4⋊C4—348no—
566C4⋊C4—348no—
567C4⋊C4—348no—
568C4⋊C4—348no—
569C4⋊C4—684no—
570C4⋊C4—684no—
571C4⋊C4—684no—
572C4⋊C4—684no—
573C42—1716no—
574C42—348no—
575C42—348no—
576C42—348no—
577C42—348no—
578C23C2×D4×D1712yes—
579C23#1058769112yes—
580C23C2×Q8×D1712yes—
581C23C2×Q8×D1712yes—
582C23#41×D1712yes—
583C23#41×D1712yes—
584C23#1058769712yes—
585C23C24×D1711yescharacteristic
586C2×C4—28no—
587C2×C4—28no—
588C2×C4—22no—
589C2×C4—22no—
590C2×C4—22no—
591C2×C4—22no—
592C2×C4—22no—
593C2×C4—22no—
594C2×C4—28no—
595C2×C4—22no—
596C2×C4—22no—
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—44no—
608C2×C4—44no—
609C2×C4—44no—
610C2×C4—44no—
611C2×C4—1716no—
612C2×C4—1716no—
613C2×C4—174no—
614C2×C4—174no—
615C2×C4—174no—
616C2×C4—174no—
617C2×C4—174no—
618C2×C4—174no—
619C2×C4—174no—
620C2×C4—174no—
621C2×C4—348no—
622C2×C4—348no—
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—684no—
640C2×C4—684no—
641C2×C4—684no—
642C2×C4—684no—
643C2×C4C2×D4×D1714yes—
644C2×C4C2×Q8×D1714yes—
645C2×C4C2×Q8×D1714yes—
646C22#125×D1714yes—
647C22C4⋊Q8×D1714yes—
648C22#1176343814yes—
649C22#1176345714yes—
650C22#1176347714yes—
651C22#1176351314yes—
652C22#1176353614yes—
653C22C22×D4×D1711yescharacteristic
654C22C22×Q8×D1711yescharacteristic
655C22C22×Q8×D1711yescharacteristic
656C22C2×#41×D1711yescharacteristic
657C22C2×#41×D1711yescharacteristic
658C22C2×#1058769111yescharacteristic
659C22C2×#1058769711yescharacteristic
660C4—24no—
661C4—24no—
662C4—24no—
663C4—42no—
664C4—42no—
665C4—42no—
666C4—42no—
667C4—178no—
668C4—178no—
669C4—344no—
670C4—344no—
671C4—682no—
672C4—682no—
673C4—682no—
674C4—682no—
675C2#1453381418yesdirect product factor
676C2C2×#125×D1711yescharacteristic
677C2C2×C4⋊Q8×D1711yescharacteristic
678C2C2×#1176343811yescharacteristic
679C2C2×#1176345711yescharacteristic
680C2C2×#1176347711yescharacteristic
681C2C2×#1176351311yescharacteristic
682C2C2×#1176353611yescharacteristic
subgroupG/H
centerC24C23×D17
commutator, cosocleC23×C17C25
FrattiniC23C24×D17
FittingC2×C17×#398C2
socle, prime radicalC24×C17C24
hypercenterC2×#398D17
hypocenterC17C2×#2552
LCSG ▷ C23×C17 ▷ C17
UCSC1 ◁ C24 ◁ C2×#398

Complements

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

NH ≅ G/Ntype
3. #14533814C2direct (N × H)
295. C2×Dic17#125semidirect
348. Dic17C2×#125semidirect
402. C2×C17#2552semidirect
489. C17C2×#2552semidirect
675. C2#14533814direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#105875752
#145338142
C2×#117627432
C2×#117627422
C2×#117627412
C2×#117627062
C2×#117627042
C2×#117626782
C2×#117626602
C2×C17×#3982
C2×#255217