Finite Group Databasebeta

← #16939979

Subgroups — #16939979

Order 4352.

914 conjugacy classes of subgroups.

The subgroup lattice has 654 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C4⋊C4×Dic17C211yesmaximal, characteristic
2C2×#11762572C211yesmaximal, characteristic
3C2×#11762571C211yesmaximal, characteristic
4C2×#11762571C211yesmaximal, characteristic
5C2×#11762563C211yesmaximal, characteristic
6#14527013C211yesmaximal, characteristic
7C2×C17×#340C211yesmaximal, characteristic
8C23×#3622C2211yescharacteristic
9C22×C4⋊Dic17C2211yescharacteristic
10C22×C4⋊Dic17C2211yescharacteristic
11C22×C4×Dic17—21no—
12C22×C4×Dic17C2211yescharacteristic
13C4⋊C4×Dic17—22no—
14C4⋊C4×Dic17C414yescomplemented
15C2×#10587502—21no—
16C2×#10587502—21no—
17C2×#10587502—21no—
18#11762572C414yescomplemented
19#11762571—22no—
20#11762571C414yescomplemented
21#11762563—22no—
22C23×C8×C17C2211yescharacteristic
23C22×C4⋊C4×C17C2211yescharacteristic
24C22×C4⋊C4×C17C2211yescharacteristic
25C17×#340—22no—
26C23×C4×C17—21no—
27C23×C4×C17—21no—
28C23×C4×C17C2311yescharacteristic
29C23×Dic17—21no—
30C23×Dic17—21no—
31C23×Dic17D411yescharacteristic
32C23×Dic17D411yescharacteristic
33C22×C8×C17—21no—
34C22×C8×C17—21no—
35C22×C8×C17—21no—
36C22×C8×C17—21no—
37C22×C8×C17—21no—
38C22×C8×C17—21no—
39C22×C8×C17C2×C412yes—
40C2×C4⋊C4×C17—21no—
41C2×C4⋊C4×C17—21no—
42C2×C4⋊C4×C17—21no—
43C2×C4⋊C4×C17—21no—
44C2×C4⋊C4×C17—21no—
45C2×C4⋊C4×C17—21no—
46C2×C4⋊C4×C17—21no—
47C2×C4⋊C4×C17—21no—
48C2×C4⋊C4×C17C2×C412yes—
49C2×C4⋊C4×C17C2×C412yes—
50C2×C4⋊C4×C17D412yes—
51C2×C4⋊C4×C17Q812yes—
52C2×C4⋊Dic17—21no—
53C2×C4⋊Dic17—21no—
54C2×C4⋊Dic17—21no—
55C2×C4⋊Dic17—21no—
56C2×C4⋊Dic17—21no—
57C2×C4⋊Dic17—21no—
58C2×C4⋊Dic17—21no—
59C2×C4⋊Dic17—21no—
60C2×C4⋊Dic17C2×C412yes—
61C2×C4⋊Dic17C2×C412yes—
62C2×C4⋊Dic17C2×C412yes—
63C2×C4⋊Dic17C2×C412yes—
64C2×C4×Dic17—21no—
65C2×C4×Dic17—21no—
66C2×C4×Dic17—21no—
67C2×C4×Dic17—21no—
68C2×C4×Dic17—24no—
69C2×C4×Dic17—42no—
70C2×C4×Dic17—42no—
71C2×C4×Dic17C2×C412yes—
72C2×C4×Dic17D412yes—
73C22×#3622—21no—
74C22×#3622—21no—
75C22×#3622—21no—
76C22×#3622—21no—
77C22×#3622—21no—
78C22×#3622—21no—
79C22×#3622C2×C412yes—
80#10587502—24no—
81#10587502—42no—
82#10587502—42no—
83C24×C17C2×D411yescharacteristic
84C22×C4×C17—22no—
85C22×C4×C17—22no—
86C22×C4×C17—22no—
87C22×C4×C17—22no—
88C22×C4×C17—41no—
89C22×C4×C17—41no—
90C22×C4×C17—41no—
91C22×C4×C17—41no—
92C22×C4×C17—41no—
93C22×C4×C17—41no—
94C22×C4×C17—41no—
95C22×C4×C17—41no—
96C22×C4×C17—41no—
97C22×C4×C17—41no—
98C22×C4×C17C22×C411yescharacteristic
99C22×C4×C17C22×C411yescharacteristic
100C22×C4×C17C22×C411yescharacteristic
101C22×C4×C17C2×D411yescharacteristic
102C22×C4×C17C2×D411yescharacteristic
103C22×C4×C17C2×Q811yescharacteristic
104C22×C4×C17#4111yescharacteristic
105C22×C4×C17#4111yescharacteristic
106C22×C4×C17#4111yescharacteristic
107C22×C4×C17#4111yescharacteristic
108C22×C4×C17#4111yescharacteristic
109C22×C4×C17#4111yescharacteristic
110C22×C4×C17#4111yescharacteristic
111C22×C4×C17#4111yescharacteristic
112C22×Dic17—21no—
113C22×Dic17—21no—
114C22×Dic17—21no—
115C22×Dic17—21no—
116C22×Dic17—22no—
117C22×Dic17—22no—
118C22×Dic17—22no—
119C22×Dic17—21no—
120C22×Dic17—21no—
121C22×Dic17—21no—
122C22×Dic17—21no—
123C22×Dic17—21no—
124C22×Dic17—21no—
125C22×Dic17—22no—
126C22×Dic17—41no—
127C22×Dic17—41no—
128C22×Dic17—41no—
129C22×Dic17—41no—
130C22×Dic17—41no—
131C22×Dic17—41no—
132C22×Dic17—41no—
133C22×Dic17—41no—
134C22×Dic17—41no—
135C22×Dic17—41no—
136C22×Dic17C22⋊C412yes—
137C22×Dic17C22⋊C412yes—
138C22×Dic17D812yes—
139C22×Dic17SD1612yes—
140C2×C8×C17—22no—
141C2×C8×C17—22no—
142C2×C8×C17—22no—
143C2×C8×C17—41no—
144C2×C8×C17—41no—
145C2×C8×C17—41no—
146C2×C8×C17—41no—
147C4⋊C4×C17—22no—
148C4⋊C4×C17—22no—
149C4⋊C4×C17—22no—
150C4⋊C4×C17—22no—
151C4⋊C4×C17—22no—
152C4⋊C4×C17—41no—
153C4⋊C4×C17—41no—
154C4⋊C4×C17C4⋊C414yes—
155C4⋊Dic17—22no—
156C4⋊Dic17—22no—
157C4⋊Dic17—22no—
158C4⋊Dic17—22no—
159C4⋊Dic17—22no—
160C4⋊Dic17—41no—
161C4⋊Dic17—41no—
162C4⋊Dic17C4214yes—
163C4×Dic17—22no—
164C4×Dic17—22no—
165C4×Dic17—22no—
166C4×Dic17—22no—
167C4×Dic17—48no—
168C2×#3622—22no—
169C2×#3622—22no—
170C2×#3622—22no—
171C2×#3622—41no—
172C2×#3622—41no—
173C2×#3622—41no—
174C2×#3622—41no—
175#10806—171nomaximal, Sylow
176C23×C17C2×C22⋊C411yescharacteristic
177C23×C17C4×D411yescharacteristic
178C23×C17C4×D411yescharacteristic
179C23×C17#12111yescharacteristic
180C23×C17C22⋊Q811yescharacteristic
181C23×C17#12311yescharacteristic
182C23×C17#12311yescharacteristic
183C23×C17C2×D811yescharacteristic
184C23×C17C2×SD1611yescharacteristic
185C23×C17#13511yescharacteristic
186C23×C17#13511yescharacteristic
187C23×C17AGL(1,ℤ/8)11yescharacteristic
188C23×C17#13711yescharacteristic
189C23×C17#13711yescharacteristic
190C23×C17#13711yescharacteristic
191C2×C4×C17—24no—
192C2×C4×C17—42no—
193C2×C4×C17—42no—
194C2×C4×C17—42no—
195C2×C4×C17—42no—
196C2×C4×C17—42no—
197C2×C4×C17—42no—
198C2×C4×C17—42no—
199C2×C4×C17—42no—
200C2×C4×C17—42no—
201C2×C4×C17—81no—
202C2×C4×C17—81no—
203C2×C4×C17—81no—
204C2×C4×C17—81no—
205C2×C4×C17C2×C4211yescharacteristic
206C2×C4×C17C2×C4⋊C411yescharacteristic
207C2×C4×C17#11711yescharacteristic
208C2×C4×C17#11711yescharacteristic
209C2×C4×C17#11711yescharacteristic
210C2×C4×C17#11711yescharacteristic
211C2×C4×C17#11711yescharacteristic
212C2×C4×C17#11711yescharacteristic
213C2×C4×C17#11711yescharacteristic
214C2×C4×C17#11711yescharacteristic
215C2×C4×C17C4×D411yescharacteristic
216C2×C4×C17C4×D411yescharacteristic
217C2×C4×C17C4×D411yescharacteristic
218C2×C4×C17C4×D411yescharacteristic
219C2×C4×C17C4×Q811yescharacteristic
220C2×C4×C17C4×Q811yescharacteristic
221C2×C4×C17#12111yescharacteristic
222C2×C4×C17C22⋊Q811yescharacteristic
223C2×C4×C17#12311yescharacteristic
224C2×C4×C17#12311yescharacteristic
225C2×C4×C17#12411yescharacteristic
226C2×C4×C17#12411yescharacteristic
227C2×C4×C17#12511yescharacteristic
228C2×C4×C17#12511yescharacteristic
229C2×C4×C17#12611yescharacteristic
230C2×C4×C17#12611yescharacteristic
231C2×C4×C17#12611yescharacteristic
232C2×C4×C17#12611yescharacteristic
233C2×Dic17—22no—
234C2×Dic17—22no—
235C2×Dic17—22no—
236C2×Dic17—22no—
237C2×Dic17—22no—
238C2×Dic17—22no—
239C2×Dic17—24no—
240C2×Dic17—22no—
241C2×Dic17—22no—
242C2×Dic17—22no—
243C2×Dic17—42no—
244C2×Dic17—42no—
245C2×Dic17—42no—
246C2×Dic17—42no—
247C2×Dic17—42no—
248C2×Dic17—42no—
249C2×Dic17—41no—
250C2×Dic17—41no—
251C2×Dic17—41no—
252C2×Dic17—41no—
253C2×Dic17—42no—
254C2×Dic17—42no—
255C2×Dic17—42no—
256C2×Dic17—81no—
257C2×Dic17—81no—
258C2×Dic17—81no—
259C2×Dic17—81no—
260C2×Dic17#10214yes—
261C8×C17—42no—
262#3622—42no—
263C2×C4×C4⋊C4—171no—
264C2×#340—171no—
265C2×#340—171no—
266C2×#340—171no—
267C2×#340D1711yescharacteristic
268C2×#336—171no—
269C4⋊#95—171no—
270C22×C17C4×C22⋊C411yescharacteristic
271C22×C17#38011yescharacteristic
272C22×C17#38111yescharacteristic
273C22×C17#38711yescharacteristic
274C22×C17#38711yescharacteristic
275C22×C17#38811yescharacteristic
276C22×C17#38811yescharacteristic
277C22×C17C2×#10211yescharacteristic
278C22×C17#41611yescharacteristic
279C22×C17#41711yescharacteristic
280C22×C17#41911yescharacteristic
281C22×C17C4×D811yescharacteristic
282C22×C17C4×D811yescharacteristic
283C22×C17C4×SD1611yescharacteristic
284C22×C17C4×SD1611yescharacteristic
285C22×C17#44011yescharacteristic
286C22×C17#44011yescharacteristic
287C22×C17#44111yescharacteristic
288C22×C17#44111yescharacteristic
289C22×C17#45911yescharacteristic
290C22×C17#46111yescharacteristic
291C22×C17#46411yescharacteristic
292C22×C17#46411yescharacteristic
293C22×C17#47411yescharacteristic
294C22×C17#47611yescharacteristic
295C22×C17#47911yescharacteristic
296C22×C17#47911yescharacteristic
297C22×C17#48011yescharacteristic
298C22×C17#48011yescharacteristic
299C22×C17#48211yescharacteristic
300C22×C17#48211yescharacteristic
301C22×C17#48311yescharacteristic
302C22×C17#48311yescharacteristic
303C22×C17#48511yescharacteristic
304C22×C17#48511yescharacteristic
305C4×C17—44no—
306C4×C17—82no—
307C4×C17#37611yescharacteristic
308C4×C17C4×C4⋊C411yescharacteristic
309C4×C17#38211yescharacteristic
310C4×C17#38311yescharacteristic
311C4×C17#38711yescharacteristic
312C4×C17#38711yescharacteristic
313C4×C17#38811yescharacteristic
314C4×C17#38811yescharacteristic
315Dic17—24no—
316Dic17—42no—
317Dic17—44no—
318Dic17—82no—
319C23×C8—171no—
320C23×C8C2×D1711yescharacteristic
321C22×C4⋊C4—171no—
322C22×C4⋊C4—171no—
323C22×C4⋊C4C2×D1711yescharacteristic
324C22×C4⋊C4C2×D1711yescharacteristic
325C22×C42—171no—
326C22×C42—341no—
327C4×C4⋊C4—174no—
328C4×C4⋊C4—342no—
329C2×#95—341no—
330C2×#95—341no—
331C2×#95—341no—
332#340—22no—
333#340—174no—
334#340—174no—
335#340—342no—
336#336—342no—
337C2×C17#143411yescharacteristic
338C2×C17C4×#10211yescharacteristic
339C2×C17#176311yescharacteristic
340C2×C17#180211yescharacteristic
341C2×C17#180511yescharacteristic
342C2×C17#182311yescharacteristic
343C2×C17#182511yescharacteristic
344C2×C17#191811yescharacteristic
345C2×C17#191811yescharacteristic
346C2×C17#192011yescharacteristic
347C2×C17#192011yescharacteristic
348C2×C17#192511yescharacteristic
349C2×C17#192511yescharacteristic
350C2×C17#192711yescharacteristic
351C2×C17#192711yescharacteristic
352C23×C4—21no—
353C23×C4—21no—
354C23×C4—171no—
355C23×C4—171no—
356C23×C4—341no—
357C23×C4—341no—
358C23×C4C22×D1711yescharacteristic
359C22×C8—21no—
360C22×C8—21no—
361C22×C8—21no—
362C22×C8—21no—
363C22×C8—21no—
364C22×C8—21no—
365C22×C8—172no—
366C22×C8—341no—
367C22×C8—341no—
368C22×C8—341no—
369C22×C8—341no—
370C22×C8—341no—
371C22×C8—341no—
372C22×C8C4×D1712yes—
373C2×C4⋊C4—21no—
374C2×C4⋊C4—21no—
375C2×C4⋊C4—21no—
376C2×C4⋊C4—21no—
377C2×C4⋊C4—21no—
378C2×C4⋊C4—21no—
379C2×C4⋊C4—21no—
380C2×C4⋊C4—21no—
381C2×C4⋊C4—172no—
382C2×C4⋊C4—172no—
383C2×C4⋊C4—172no—
384C2×C4⋊C4—172no—
385C2×C4⋊C4—341no—
386C2×C4⋊C4—341no—
387C2×C4⋊C4—341no—
388C2×C4⋊C4—341no—
389C2×C4⋊C4—341no—
390C2×C4⋊C4—341no—
391C2×C4⋊C4—341no—
392C2×C4⋊C4—341no—
393C2×C4⋊C4Dic3412yes—
394C2×C4⋊C4C4×D1712yes—
395C2×C4⋊C4C4×D1712yes—
396C2×C4⋊C4C22⋊D1712yes—
397C2×C42—172no—
398C2×C42—172no—
399C2×C42—341no—
400C2×C42—341no—
401C2×C42—341no—
402C2×C42—341no—
403C2×C42—344no—
404C2×C42—682no—
405C2×C42—682no—
406#95—344no—
407#95—682no—
408#95—682no—
409C17#1080611yescharacteristic, complemented, Sylow
410C24D4×D1711yescharacteristic
411C22×C4—22no—
412C22×C4—22no—
413C22×C4—22no—
414C22×C4—22no—
415C22×C4—41no—
416C22×C4—41no—
417C22×C4—41no—
418C22×C4—41no—
419C22×C4—41no—
420C22×C4—41no—
421C22×C4—41no—
422C22×C4—41no—
423C22×C4—41no—
424C22×C4—41no—
425C22×C4—172no—
426C22×C4—172no—
427C22×C4—172no—
428C22×C4—172no—
429C22×C4—341no—
430C22×C4—341no—
431C22×C4—341no—
432C22×C4—341no—
433C22×C4—342no—
434C22×C4—342no—
435C22×C4—341no—
436C22×C4—342no—
437C22×C4—341no—
438C22×C4—341no—
439C22×C4—341no—
440C22×C4—341no—
441C22×C4—341no—
442C22×C4—342no—
443C22×C4—681no—
444C22×C4—681no—
445C22×C4—681no—
446C22×C4—681no—
447C22×C4—681no—
448C22×C4—681no—
449C22×C4—681no—
450C22×C4—681no—
451C22×C4—681no—
452C22×C4—681no—
453C22×C4C2×Dic3411yescharacteristic
454C22×C4C2×C4×D1711yescharacteristic
455C22×C4C2×C4×D1711yescharacteristic
456C22×C4C2×C4×D1711yescharacteristic
457C22×C4#6325211yescharacteristic
458C22×C4#6325211yescharacteristic
459C22×C4D4×D1711yescharacteristic
460C22×C4#6325411yescharacteristic
461C22×C4#6325411yescharacteristic
462C22×C4#6325411yescharacteristic
463C22×C4#6325411yescharacteristic
464C22×C4#6325611yescharacteristic
465C22×C4#6325611yescharacteristic
466C22×C4C2×C22⋊D1711yescharacteristic
467C2×C8—22no—
468C2×C8—22no—
469C2×C8—22no—
470C2×C8—41no—
471C2×C8—41no—
472C2×C8—41no—
473C2×C8—41no—
474C2×C8—342no—
475C2×C8—342no—
476C2×C8—342no—
477C2×C8—681no—
478C2×C8—681no—
479C2×C8—681no—
480C2×C8—681no—
481C4⋊C4—22no—
482C4⋊C4—22no—
483C4⋊C4—22no—
484C4⋊C4—22no—
485C4⋊C4—22no—
486C4⋊C4—41no—
487C4⋊C4—41no—
488C4⋊C4—174no—
489C4⋊C4—342no—
490C4⋊C4—342no—
491C4⋊C4—342no—
492C4⋊C4—342no—
493C4⋊C4—342no—
494C4⋊C4—681no—
495C4⋊C4—681no—
496C4⋊C4#6322514yes—
497C42—342no—
498C42—342no—
499C42—342no—
500C42—342no—
501C42—688no—
502C23#1058756411yescharacteristic
503C23C22⋊C4×D1711yescharacteristic
504C23#1058756711yescharacteristic
505C23#1058756911yescharacteristic
506C23#1058757911yescharacteristic
507C23#1058758011yescharacteristic
508C23D8×D1711yescharacteristic
509C23#1058759711yescharacteristic
510C23SD16×D1711yescharacteristic
511C23#1058760111yescharacteristic
512C23#1058760111yescharacteristic
513C23#1058760211yescharacteristic
514C23#1058760411yescharacteristic
515C23#1058760511yescharacteristic
516C23#1058762511yescharacteristic
517C2×C4—24no—
518C2×C4—42no—
519C2×C4—42no—
520C2×C4—42no—
521C2×C4—42no—
522C2×C4—42no—
523C2×C4—42no—
524C2×C4—42no—
525C2×C4—42no—
526C2×C4—42no—
527C2×C4—81no—
528C2×C4—81no—
529C2×C4—81no—
530C2×C4—81no—
531C2×C4—174no—
532C2×C4—342no—
533C2×C4—342no—
534C2×C4—342no—
535C2×C4—342no—
536C2×C4—342no—
537C2×C4—342no—
538C2×C4—342no—
539C2×C4—342no—
540C2×C4—344no—
541C2×C4—342no—
542C2×C4—682no—
543C2×C4—682no—
544C2×C4—681no—
545C2×C4—681no—
546C2×C4—682no—
547C2×C4—682no—
548C2×C4—681no—
549C2×C4—682no—
550C2×C4—682no—
551C2×C4—681no—
552C2×C4—682no—
553C2×C4—682no—
554C2×C4—682no—
555C2×C4—1361no—
556C2×C4—1361no—
557C2×C4—1361no—
558C2×C4—1361no—
559C2×C4C4×Dic3411yescharacteristic
560C2×C4C4×Dic3411yescharacteristic
561C2×C4C42×D1711yescharacteristic
562C2×C4#1058755811yescharacteristic
563C2×C4#1058756311yescharacteristic
564C2×C4#1058756311yescharacteristic
565C2×C4#1058756311yescharacteristic
566C2×C4#1058756411yescharacteristic
567C2×C4#1058756511yescharacteristic
568C2×C4#1058756511yescharacteristic
569C2×C4#1058756711yescharacteristic
570C2×C4#1058756911yescharacteristic
571C2×C4#1058757611yescharacteristic
572C2×C4#1058757611yescharacteristic
573C2×C4#1058757811yescharacteristic
574C2×C4#1058757811yescharacteristic
575C2×C4#1058757811yescharacteristic
576C2×C4#1058757811yescharacteristic
577C2×C4#1058757911yescharacteristic
578C2×C4#1058758011yescharacteristic
579C2×C4#1058758411yescharacteristic
580C2×C4#1058758411yescharacteristic
581C2×C4C2×#6322511yescharacteristic
582C2×C4C4×C22⋊D1711yescharacteristic
583C2×C4C4×C22⋊D1711yescharacteristic
584C2×C4#1058762211yescharacteristic
585C2×C4#1058762511yescharacteristic
586C2×C4#1058763311yescharacteristic
587C8—42no—
588C8—682no—
589C22#1176265611yescharacteristic
590C22#1176266711yescharacteristic
591C22#1176267111yescharacteristic
592C22#1176269211yescharacteristic
593C22#1176269611yescharacteristic
594C22#1176269911yescharacteristic
595C22#1176270311yescharacteristic
596C22#102×D1711yescharacteristic
597C22#1176280411yescharacteristic
598C22#1176280711yescharacteristic
599C22#1176281611yescharacteristic
600C22#1176288911yescharacteristic
601C22#1176289111yescharacteristic
602C22#1176289411yescharacteristic
603C22#1176289611yescharacteristic
604C22#1176290611yescharacteristic
605C22#1176290811yescharacteristic
606C22#1176291311yescharacteristic
607C22#1176291511yescharacteristic
608C22#1176300211yescharacteristic
609C22#1176301211yescharacteristic
610C22#1176302911yescharacteristic
611C22#1176303311yescharacteristic
612C22#1176308711yescharacteristic
613C22#1176309711yescharacteristic
614C22#1176311411yescharacteristic
615C22#1176311811yescharacteristic
616C22#1176312111yescharacteristic
617C22#1176312411yescharacteristic
618C22#1176313211yescharacteristic
619C22#1176313611yescharacteristic
620C22#1176313811yescharacteristic
621C22#1176314111yescharacteristic
622C22#1176314911yescharacteristic
623C22#1176315311yescharacteristic
624C4—44no—
625C4—82no—
626C4—344no—
627C4—684no—
628C4—682no—
629C4—1362no—
630C4#1176265411yescharacteristic
631C4C4×#6322511yescharacteristic
632C4#1176267411yescharacteristic
633C4#1176267611yescharacteristic
634C4#1176269211yescharacteristic
635C4#1176269611yescharacteristic
636C4#1176269911yescharacteristic
637C4#1176270311yescharacteristic
638C2#1452701011yescharacteristic
639C2#1452859811yescharacteristic
640C2#1452861311yescharacteristic
641C2#1452878211yescharacteristic
642C2#1452879711yescharacteristic
643C2#1452886911yescharacteristic
644C2#1452887811yescharacteristic
645C2#1452935411yescharacteristic
646C2#1452935811yescharacteristic
647C2#1452936811yescharacteristic
648C2#1452937211yescharacteristic
649C2#1452940311yescharacteristic
650C2#1452940711yescharacteristic
651C2#1452941711yescharacteristic
652C2#1452942111yescharacteristic
subgroupG/H
centerC24D4×D17
commutatorC2×C4×C17C2×C42
FrattiniC23×C4C22×D17
FittingC2×C17×#340C2
socle, prime radicalC24×C17C2×D4
cosocleC23×C4×C17C23
hypercenterC2×#340D17
hypocenterC17#10806
LCSG ▷ C2×C4×C17 ▷ C2×C17 ▷ C17
UCSC1 ◁ C24 ◁ C23×C4 ◁ C2×#340

Complements

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

NH ≅ G/Ntype
14. C4⋊C4×Dic17C4semidirect
18. #11762572C4semidirect
20. #11762571C4semidirect
409. C17#10806semidirect

Maximal subgroups

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

subgroupindex
C2×C4⋊C4×Dic172
C2×#117625722
C2×#117625712
C2×#117625632
#145270132
C2×C17×#3402
#1080617