Finite Group Databasebeta

← C2×#14533734 #17206102

Subgroups — C2×#14533734 #17206102

Order 4352.

4006 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×#10587630C211yesmaximal, characteristic, complemented
2C22×#10587583C211yesmaximal, characteristic, complemented
3C22×#10587610C211yesmaximal, characteristic, complemented
4C22×#10587632C211yesmaximal, characteristic, complemented
5C22×C4×C22⋊D17C211yesmaximal, characteristic
6#14533734C2116yesmaximal, direct product factor
7C2×#11762745C212yesmaximal, complemented
8C2×#11762744C212yesmaximal, complemented
9C2×#11762709C212yesmaximal
10C2×#11762678C212yesmaximal, complemented
11C2×C4⋊C4×Dic17C211yesmaximal, characteristic, complemented
12C22×C17×C22⋊Q8C211yesmaximal, characteristic, complemented
13C23×Dic34C2211yescharacteristic
14C23×C22⋊D17C2211yescharacteristic
15C23×C4×D17C2211yescharacteristic
16C2×#10587630—28no—
17C2×#10587630C2218yescomplemented
18C2×#10587583—28no—
19C2×#10587583C2218yescomplemented
20C2×#10587610—28no—
21C2×#10587610C2218yescomplemented
22C2×#10587632—28no—
23C2×#10587632C2218yescomplemented
24C2×C4×C22⋊D17—28no—
25C2×C4×C22⋊D17C2218yes—
26C22×C4⋊Dic17C2212yes—
27C22×C4⋊Dic17C2211yescharacteristic
28C22×#63225C2211yescharacteristic
29C22×#63225C2212yes—
30C22×#63225C2212yes—
31C22×#63225C2212yes—
32C22×#63225C2212yes—
33C22×C22⋊Dic17C2211yescharacteristic
34C22×C22⋊Dic17C2212yes—
35C22×#63227C2211yescharacteristic
36C22×#63227C2212yes—
37C22×#63227C2212yes—
38C22×C4×Dic17C2212yes—
39C22×C4×Dic17C2211yescharacteristic
40#11762745C22116yescomplemented
41#11762744C22116yescomplemented
42#11762709C22116yes—
43#11762678C22116yescomplemented
44C4⋊C4×Dic17C2218yescomplemented
45C2×#10587502C2212yes—
46C23×Q8×C17C2211yescharacteristic
47C24×C4×C17C2211yescharacteristic
48C2×C17×C22⋊Q8—28no—
49C2×C17×C22⋊Q8C2218yescomplemented
50C22×C4⋊C4×C17C2212yes—
51C22×C4⋊C4×C17C2211yescharacteristic
52C22×C22⋊C4×C17C2212yes—
53C25×C17C2311yescharacteristic
54C24×D17C2311yescharacteristic
55C22×Q8×C17—24no—
56C22×Q8×C17—24no—
57C22×Q8×C17—24no—
58C22×Q8×C17C2314yes—
59C23×C4×C17—24no—
60C23×C4×C17—24no—
61C23×C4×C17—24no—
62C23×C4×C17C2312yes—
63C23×C4×C17C2311yescharacteristic
64C23×C4×C17C2314yes—
65C23×C4×C17C2312yes—
66C23×C4×C17C2311yescharacteristic
67C22×C22⋊D17—24no—
68C22×C22⋊D17—24no—
69C22×C22⋊D17Q818yescomplemented
70C22×C22⋊D17C2314yes—
71C23×Dic17C2312yes—
72C23×Dic17C2311yescharacteristic
73C23×Dic17C2312yes—
74C23×Dic17C2311yescharacteristic
75C23×Dic17C2311yescharacteristic
76C22×C4×D17—24no—
77C22×C4×D17—24no—
78C22×C4×D17—24no—
79C22×C4×D17C2314yes—
80C22×Dic34—24no—
81C22×Dic34—24no—
82C22×Dic34—24no—
83C22×Dic34C2314yes—
84C17×C22⋊Q8—232no—
85C2×C4⋊C4×C17—28no—
86C2×C4⋊C4×C17D418yescomplemented
87C2×C4⋊C4×C17C2318yes—
88C2×C4⋊C4×C17C2314yes—
89C2×C22⋊C4×C17—28no—
90C2×C22⋊C4×C17C2318yes—
91C2×C22⋊Dic17—24no—
92C2×C22⋊Dic17—28no—
93C2×C22⋊Dic17C2318yes—
94C2×C22⋊Dic17C2314yes—
95#10587632—232no—
96#10587630—232no—
97C4×C22⋊D17—232no—
98C2×#63227—28no—
99C2×#63227—24no—
100C2×#63227—28no—
101C2×#63227C2318yes—
102C2×#63227C2318yes—
103C2×#63227C2314yes—
104C2×C4⋊Dic17—28no—
105C2×C4⋊Dic17D418yescomplemented
106C2×C4⋊Dic17C2318yes—
107C2×C4⋊Dic17C2314yes—
108#10587610—232no—
109C2×#63225—24no—
110C2×#63225—28no—
111C2×#63225—28no—
112C2×#63225—28no—
113C2×#63225—28no—
114C2×#63225C2318yes—
115C2×#63225C2318yes—
116C2×#63225C2318yes—
117C2×#63225C2318yes—
118C2×#63225C2314yes—
119C2×C4×Dic17—28no—
120C2×C4×Dic17D418yes—
121C2×C4×Dic17C2318yes—
122C2×C4×Dic17C2314yes—
123#10587583—232no—
124#10587502C2318yes—
125C24×C17—22no—
126C24×C17—22no—
127C24×C17—22no—
128C24×C17—22no—
129C24×C17—22no—
130C24×C17—22no—
131C24×C17C2×Q814yes—
132C24×C17C2412yes—
133C24×C17C2411yescharacteristic
134C23×D17—22no—
135C23×D17—22no—
136C23×D17—22no—
137C23×D17—22no—
138C23×D17—22no—
139C23×D17—22no—
140C23×D17C2×Q814yes—
141C23×D17C2412yes—
142C2×Q8×C17—28no—
143C2×Q8×C17—28no—
144C2×Q8×C17—28no—
145C2×Q8×C17—416no—
146C22×C4×C17—24no—
147C22×C4×C17—24no—
148C22×C4×C17—22no—
149C22×C4×C17—22no—
150C22×C4×C17—22no—
151C22×C4×C17—24no—
152C22×C4×C17—24no—
153C22×C4×C17—24no—
154C22×C4×C17—28no—
155C22×C4×C17—28no—
156C22×C4×C17—28no—
157C22×C4×C17—416no—
158C22×C4×C17C2×D414yes—
159C22×C4×C17C2×D414yes—
160C22×C4×C17C2×D418yes—
161C22×C4×C17C2×D414yes—
162C22×C4×C17C2412yes—
163C22×C4×C17C2414yes—
164C22×C4×C17C2414yes—
165C22×C4×C17C2412yes—
166C2×C22⋊D17—232no—
167C2×C22⋊D17—28no—
168C2×C22⋊D17—28no—
169C2×C22⋊D17C2×Q8116yescomplemented
170C22×Dic17—24no—
171C22×Dic17—22no—
172C22×Dic17—24no—
173C22×Dic17—22no—
174C22×Dic17—24no—
175C22×Dic17—24no—
176C22×Dic17—24no—
177C22×Dic17—22no—
178C22×Dic17—22no—
179C22×Dic17—22no—
180C22×Dic17C2×D414yes—
181C22×Dic17C2×D418yes—
182C22×Dic17C2×D414yes—
183C22×Dic17C2×Q814yes—
184C22×Dic17#4114yes—
185C22×Dic17C2414yes—
186C22×Dic17C2412yes—
187C22×Dic17C2412yes—
188C22×Dic17C2414yes—
189C22×Dic17C2412yes—
190C2×C4×D17—28no—
191C2×C4×D17—28no—
192C2×C4×D17—28no—
193C2×C4×D17—416no—
194C2×Dic34—28no—
195C2×Dic34—28no—
196C2×Dic34—28no—
197C2×Dic34—416no—
198C4⋊C4×C17—216no—
199C4⋊C4×C17C2×D4116yescomplemented
200C22⋊C4×C17—216no—
201C22⋊Dic17—216no—
202C22⋊Dic17—28no—
203#63227—216no—
204#63227—28no—
205#63227—216no—
206C4⋊Dic17—216no—
207C4⋊Dic17C2×D4116yescomplemented
208#63225—216no—
209#63225—28no—
210#63225—216no—
211#63225—216no—
212#63225—216no—
213C4×Dic17—216no—
214C4×Dic17C2×D4116yes—
215C2×#2542—171nomaximal, Sylow
216C23×C17—28no—
217C23×C17—28no—
218C23×C17—28no—
219C23×C17—22no—
220C23×C17—22no—
221C23×C17—22no—
222C23×C17—22no—
223C23×C17—22no—
224C23×C17—22no—
225C23×C17—44no—
226C23×C17—44no—
227C23×C17—44no—
228C23×C17—44no—
229C23×C17C22×D412yes—
230C23×C17C22×D412yes—
231C23×C17C22×D412yes—
232C23×C17C22×Q814yes—
233C23×C17C22×Q812yes—
234C23×C17C2×#4112yes—
235C23×C172−1+412yes—
236C23×C172−1+412yes—
237C23×C17C2511yescharacteristic
238C22×D17—28no—
239C22×D17—28no—
240C22×D17—28no—
241C22×D17—22no—
242C22×D17—22no—
243C22×D17—22no—
244C22×D17—22no—
245C22×D17—22no—
246C22×D17—22no—
247C22×D17—44no—
248C22×D17—44no—
249C22×D17—44no—
250C22×D17—44no—
251C22×D17C22×Q814yes—
252Q8×C17—416no—
253C2×C4×C17—216no—
254C2×C4×C17—24no—
255C2×C4×C17—24no—
256C2×C4×C17—24no—
257C2×C4×C17—22no—
258C2×C4×C17—22no—
259C2×C4×C17—22no—
260C2×C4×C17—24no—
261C2×C4×C17—24no—
262C2×C4×C17—44no—
263C2×C4×C17—48no—
264C2×C4×C17—416no—
265C2×C4×C17#127116yes—
266C2×C4×C17C22×D414yes—
267C2×C4×C17C22×D414yes—
268C2×C4×C17C22×D418yes—
269C2×C4×C17C22×D414yes—
270C22⋊D17—232no—
271C2×Dic17—28no—
272C2×Dic17—216no—
273C2×Dic17—24no—
274C2×Dic17—22no—
275C2×Dic17—22no—
276C2×Dic17—24no—
277C2×Dic17—24no—
278C2×Dic17—22no—
279C2×Dic17—24no—
280C2×Dic17—24no—
281C2×Dic17—22no—
282C2×Dic17—22no—
283C2×Dic17—48no—
284C2×Dic17—44no—
285C2×Dic17C22⋊Q8116yescomplemented
286C2×Dic17C22×D414yes—
287C2×Dic17C22×D418yes—
288C2×Dic17C22×D414yes—
289C2×Dic17C22×Q814yes—
290C2×Dic17C2×#4114yes—
291C4×D17—416no—
292Dic34—416no—
293C22×C4⋊Q8—171no—
294C22×C22⋊Q8—171no—
295C22×C22⋊Q8—171no—
296C22×C22⋊Q8—171no—
297C22×C22⋊Q8D1711yescharacteristic, complemented
298C22×C4×D4—171no—
299#2542—1716no—
300C2×#399—172no—
301C2×#399—172no—
302C2×#390—172no—
303C2×#384—172no—
304C2×C4×C4⋊C4—171no—
305C22×C17—24no—
306C22×C17—24no—
307C22×C17—24no—
308C22×C17—42no—
309C22×C17—42no—
310C22×C17—42no—
311C22×C17—42no—
312C22×C17—416no—
313C22×C17C2×C22⋊Q814yes—
314C22×C17C2×#12714yes—
315C22×C17#53614yes—
316C22×C17#54714yes—
317C22×C17#54714yes—
318C22×C17D4×Q814yes—
319C22×C17D4×Q814yes—
320C22×C17C23×D411yescharacteristic
321C22×C17C23×D411yescharacteristic
322C22×C17C23×D411yescharacteristic
323C22×C17C23×Q811yescharacteristic
324C22×C17C22×#4111yescharacteristic
325C22×C17C2×2−1+411yescharacteristic
326C22×C17C2×2−1+411yescharacteristic
327C2×D17—24no—
328C2×D17—24no—
329C2×D17—24no—
330C2×D17—42no—
331C2×D17—42no—
332C2×D17—42no—
333C2×D17—42no—
334C2×D17—416no—
335C4×C17—28no—
336C4×C17—42no—
337C4×C17—44no—
338C4×C17C2×#12718yes—
339Dic17—24no—
340Dic17—28no—
341Dic17—44no—
342Dic17—42no—
343Dic17C2×C22⋊Q818yescomplemented
344C23×Q8—171no—
345C23×Q8C2×D1711yescharacteristic
346C23×D4—171no—
347C24×C4—171no—
348C24×C4C2×D1711yescharacteristic
349C2×C4⋊Q8—178no—
350C2×C4⋊Q8—348no—
351C2×C22⋊Q8—28no—
352C2×C22⋊Q8—178no—
353C2×C22⋊Q8—178no—
354C2×C22⋊Q8—178no—
355C2×C22⋊Q8—348no—
356C2×C22⋊Q8—348no—
357C2×C22⋊Q8—348no—
358C2×C22⋊Q8C2×D1718yescomplemented
359C2×C4×D4—178no—
360C2×C4×D4—348no—
361C22×C4⋊C4—171no—
362C22×C4⋊C4—172no—
363C22×C4⋊C4—172no—
364C22×C4⋊C4—172no—
365C22×C4⋊C4—171no—
366C22×C4⋊C4—172no—
367C22×C4⋊C4—172no—
368C22×C4⋊C4C2×D1712yes—
369C22×C4⋊C4C2×D1711yescharacteristic
370C22×C22⋊C4—171no—
371C22×C22⋊C4—172no—
372C22×C22⋊C4—171no—
373C22×C22⋊C4—172no—
374C22×C22⋊C4—172no—
375C22×C22⋊C4C2×D1712yes—
376C22×C42—171no—
377C22×C42—172no—
378#399—1716no—
379#399—1716no—
380#390—1716no—
381#384—1716no—
382C4×C4⋊C4—178no—
383C2×#95—172no—
384C2×C17—44no—
385C2×C17#254218yescomplemented
386C2×C17C22×C22⋊Q811yescharacteristic
387C2×C17C22×#12711yescharacteristic
388C2×C17C2×#53611yescharacteristic
389C2×C17C2×#54711yescharacteristic
390C2×C17C2×#54711yescharacteristic
391C2×C17C2×D4×Q811yescharacteristic
392C2×C17C2×D4×Q811yescharacteristic
393D17—44no—
394C25—171no—
395C25C22×D1711yescharacteristic
396C22×Q8—24no—
397C22×Q8—24no—
398C22×Q8—24no—
399C22×Q8—174no—
400C22×Q8—344no—
401C22×Q8—344no—
402C22×Q8—344no—
403C22×Q8C22×D1714yes—
404C22×D4—178no—
405C22×D4—174no—
406C22×D4—344no—
407C22×D4—344no—
408C23×C4—24no—
409C23×C4—24no—
410C23×C4—24no—
411C23×C4—171no—
412C23×C4—172no—
413C23×C4—171no—
414C23×C4—172no—
415C23×C4—171no—
416C23×C4—174no—
417C23×C4—344no—
418C23×C4—344no—
419C23×C4—344no—
420C23×C4C22×D1714yes—
421C23×C4C22×D1712yes—
422C23×C4C22×D1711yescharacteristic
423C23×C4C22×D1712yes—
424C23×C4C22×D1711yescharacteristic
425C4⋊Q8—3432no—
426C22⋊Q8—232no—
427C22⋊Q8—3432no—
428C22⋊Q8—3432no—
429C22⋊Q8—3432no—
430C4×D4—3432no—
431C2×C4⋊C4—28no—
432C2×C4⋊C4—178no—
433C2×C4⋊C4—174no—
434C2×C4⋊C4—174no—
435C2×C4⋊C4—178no—
436C2×C4⋊C4—178no—
437C2×C4⋊C4—178no—
438C2×C4⋊C4—178no—
439C2×C4⋊C4—178no—
440C2×C4⋊C4—344no—
441C2×C4⋊C4—348no—
442C2×C4⋊C4—348no—
443C2×C4⋊C4—348no—
444C2×C4⋊C4—348no—
445C2×C4⋊C4—348no—
446C2×C4⋊C4C22⋊D1718yescomplemented
447C2×C4⋊C4C22×D1718yes—
448C2×C4⋊C4C22×D1714yes—
449C2×C22⋊C4—28no—
450C2×C22⋊C4—174no—
451C2×C22⋊C4—178no—
452C2×C22⋊C4—174no—
453C2×C22⋊C4—178no—
454C2×C22⋊C4—178no—
455C2×C22⋊C4—344no—
456C2×C22⋊C4—348no—
457C2×C22⋊C4—344no—
458C2×C22⋊C4—348no—
459C2×C22⋊C4—348no—
460C2×C22⋊C4C22×D1718yes—
461C2×C42—178no—
462C2×C42—174no—
463C2×C42—178no—
464C2×C42—348no—
465#95—178no—
466C17C2×#254211yescharacteristic, complemented, Sylow
467C24—22no—
468C24—22no—
469C24—22no—
470C24—22no—
471C24—22no—
472C24—22no—
473C24—174no—
474C24—172no—
475C24—342no—
476C24—342no—
477C24—342no—
478C24—342no—
479C24—342no—
480C24—342no—
481C24Q8×D1714yes—
482C24C23×D1712yes—
483C24C23×D1711yescharacteristic
484C2×Q8—28no—
485C2×Q8—28no—
486C2×Q8—28no—
487C2×Q8—416no—
488C2×Q8—348no—
489C2×Q8—348no—
490C2×Q8—348no—
491C2×Q8—6816no—
492C2×D4—1716no—
493C2×D4—348no—
494C2×D4—3432no—
495C2×D4—348no—
496C22×C4—24no—
497C22×C4—24no—
498C22×C4—22no—
499C22×C4—24no—
500C22×C4—22no—
501C22×C4—24no—
502C22×C4—24no—
503C22×C4—22no—
504C22×C4—28no—
505C22×C4—28no—
506C22×C4—28no—
507C22×C4—416no—
508C22×C4—174no—
509C22×C4—174no—
510C22×C4—174no—
511C22×C4—172no—
512C22×C4—174no—
513C22×C4—178no—
514C22×C4—172no—
515C22×C4—174no—
516C22×C4—174no—
517C22×C4—172no—
518C22×C4—344no—
519C22×C4—342no—
520C22×C4—344no—
521C22×C4—342no—
522C22×C4—342no—
523C22×C4—344no—
524C22×C4—342no—
525C22×C4—344no—
526C22×C4—344no—
527C22×C4—342no—
528C22×C4—348no—
529C22×C4—348no—
530C22×C4—348no—
531C22×C4—6816no—
532C22×C4D4×D1714yes—
533C22×C4D4×D1714yes—
534C22×C4C2×C22⋊D1718yes—
535C22×C4C2×C22⋊D1714yes—
536C22×C4C23×D1714yes—
537C22×C4C23×D1712yes—
538C22×C4C23×D1714yes—
539C22×C4C23×D1712yes—
540C4⋊C4—216no—
541C4⋊C4—1716no—
542C4⋊C4—348no—
543C4⋊C4—3416no—
544C4⋊C4—3416no—
545C4⋊C4—3416no—
546C4⋊C4—3416no—
547C4⋊C4—3416no—
548C4⋊C4C2×C22⋊D17116yescomplemented
549C22⋊C4—216no—
550C22⋊C4—348no—
551C22⋊C4—3416no—
552C22⋊C4—348no—
553C22⋊C4—3416no—
554C22⋊C4—3416no—
555C42—1716no—
556C42—3416no—
557C23—28no—
558C23—28no—
559C23—28no—
560C23—22no—
561C23—22no—
562C23—22no—
563C23—22no—
564C23—22no—
565C23—22no—
566C23—44no—
567C23—44no—
568C23—44no—
569C23—44no—
570C23—174no—
571C23—348no—
572C23—348no—
573C23—348no—
574C23—342no—
575C23—342no—
576C23—342no—
577C23—342no—
578C23—342no—
579C23—342no—
580C23—684no—
581C23—684no—
582C23—684no—
583C23—684no—
584C23C2×D4×D1712yes—
585C23C2×D4×D1712yes—
586C23C2×Q8×D1714yes—
587C23C2×Q8×D1712yes—
588C23#1058769412yes—
589C23#41×D1712yes—
590C23#1058769712yes—
591C23C22×C22⋊D1712yes—
592C23C24×D1711yescharacteristic
593Q8—416no—
594Q8—6816no—
595D4—3432no—
596C2×C4—216no—
597C2×C4—24no—
598C2×C4—24no—
599C2×C4—22no—
600C2×C4—24no—
601C2×C4—22no—
602C2×C4—24no—
603C2×C4—24no—
604C2×C4—22no—
605C2×C4—44no—
606C2×C4—48no—
607C2×C4—416no—
608C2×C4—1716no—
609C2×C4—174no—
610C2×C4—174no—
611C2×C4—174no—
612C2×C4—174no—
613C2×C4—178no—
614C2×C4—3416no—
615C2×C4—344no—
616C2×C4—348no—
617C2×C4—342no—
618C2×C4—342no—
619C2×C4—344no—
620C2×C4—342no—
621C2×C4—344no—
622C2×C4—342no—
623C2×C4—344no—
624C2×C4—344no—
625C2×C4—342no—
626C2×C4—684no—
627C2×C4—688no—
628C2×C4—6816no—
629C2×C4#10587626116yes—
630C2×C4C2×D4×D1714yes—
631C2×C4C2×D4×D1714yes—
632C2×C4C22×C22⋊D1718yes—
633C2×C4C22×C22⋊D1714yes—
634C22—24no—
635C22—24no—
636C22—24no—
637C22—42no—
638C22—416no—
639C22—42no—
640C22—42no—
641C22—42no—
642C22—344no—
643C22—344no—
644C22—344no—
645C22—682no—
646C22—6816no—
647C22—682no—
648C22—682no—
649C22—682no—
650C22C22⋊Q8×D1714yes—
651C22C2×#1058762614yes—
652C22#1176338214yes—
653C22#1176345814yes—
654C22#1176346114yes—
655C22#1176347214yes—
656C22Q8×C22⋊D1714yes—
657C22C22×D4×D1711yescharacteristic
658C22C22×D4×D1711yescharacteristic
659C22C23×C22⋊D1711yescharacteristic
660C22C22×Q8×D1711yescharacteristic
661C22C2×#41×D1711yescharacteristic
662C22C2×#1058769711yescharacteristic
663C22C2×#1058769411yescharacteristic
664C4—28no—
665C4—42no—
666C4—44no—
667C4—178no—
668C4—344no—
669C4—348no—
670C4—682no—
671C4—684no—
672C4C2×#1058762618yes—
673C2—44no—
674C2—684no—
675C2#1453373418yesdirect product factor
676C2C2×C22⋊Q8×D1711yescharacteristic
677C2C22×#1058762611yescharacteristic
678C2C2×#1176338211yescharacteristic
679C2C2×#1176345811yescharacteristic
680C2C2×#1176346111yescharacteristic
681C2C2×#1176347211yescharacteristic
682C2C2×Q8×C22⋊D1711yescharacteristic
subgroupG/H
centerC24C23×D17
commutator, cosocleC23×C17C25
FrattiniC23C24×D17
FittingC22×C17×C22⋊Q8C2
socleC24×C17C24
prime radicalC23×C22⋊D17C22
hypercenterC22×C22⋊Q8D17
hypocenterC17C2×#2542
LCSG ▷ C23×C17 ▷ C17
UCSC1 ◁ C24 ◁ C22×C22⋊Q8

Complements

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

NH ≅ G/Ntype
1. C22×#10587630C2semidirect
2. C22×#10587583C2semidirect
3. C22×#10587610C2semidirect
4. C22×#10587632C2semidirect
6. #14533734C2direct (N × H)
7. C2×#11762745C2semidirect
8. C2×#11762744C2semidirect
10. C2×#11762678C2semidirect
11. C2×C4⋊C4×Dic17C2semidirect
12. C22×C17×C22⋊Q8C2semidirect
17. C2×#10587630C22semidirect
19. C2×#10587583C22semidirect
21. C2×#10587610C22semidirect
23. C2×#10587632C22semidirect
40. #11762745C22semidirect
41. #11762744C22semidirect
43. #11762678C22semidirect
44. C4⋊C4×Dic17C22semidirect
49. C2×C17×C22⋊Q8C22semidirect
69. C22×C22⋊D17Q8semidirect
86. C2×C4⋊C4×C17D4semidirect
105. C2×C4⋊Dic17D4semidirect
169. C2×C22⋊D17C2×Q8semidirect
199. C4⋊C4×C17C2×D4semidirect
207. C4⋊Dic17C2×D4semidirect
285. C2×Dic17C22⋊Q8semidirect
297. C22×C22⋊Q8D17semidirect
343. Dic17C2×C22⋊Q8semidirect
358. C2×C22⋊Q8C2×D17semidirect
385. C2×C17#2542semidirect
446. C2×C4⋊C4C22⋊D17semidirect
466. C17C2×#2542semidirect
548. C4⋊C4C2×C22⋊D17semidirect
675. C2#14533734direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#105876302
C22×#105875832
C22×#105876102
C22×#105876322
C22×C4×C22⋊D172
#145337342
C2×#117627452
C2×#117627442
C2×#117627092
C2×#117626782
C2×C4⋊C4×Dic172
C22×C17×C22⋊Q82
C2×#254217