Finite Group Databasebeta

← C2×#14542624 #17942253

Subgroups — C2×#14542624 #17942253

Order 4352.

8082 conjugacy classes of subgroups.

The subgroup lattice has 1408 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#14542624C2132yesmaximal, direct product factor
2C2×#11763512C212yesmaximal, complemented
3C2×#11763512C211yesmaximal, characteristic, complemented
4C2×#11763510C212yesmaximal, complemented
5C2×#11763503C211yesmaximal, characteristic, complemented
6C2×#11763494C211yesmaximal, characteristic, complemented
7C2×#11763483C212yesmaximal, complemented
8C2×#11763482C212yesmaximal, complemented
9C2×#11763471C211yesmaximal, characteristic, complemented
10C2×#11763469C211yesmaximal, characteristic, complemented
11C2×#11763455C211yesmaximal, characteristic, complemented
12C2×#11763450C211yesmaximal, characteristic, complemented
13C2×#11763407C212yesmaximal, complemented
14C2×#11763398C212yesmaximal, complemented
15C2×#11763370C212yesmaximal, complemented
16C2×#11763346C211yesmaximal, characteristic, complemented
17C2×#11763344C211yesmaximal, characteristic, complemented
18C2×#11763322C211yesmaximal, characteristic, complemented
19C2×#11763321C211yesmaximal, characteristic, complemented
20C2×C22⋊Q8×D17C211yesmaximal, characteristic, complemented
21C22×#10587581C211yesmaximal, characteristic, complemented
22C2×#11763283C212yesmaximal, complemented
23C2×C4×D4×D17C211yesmaximal, characteristic, complemented
24C2×C17×#552C211yesmaximal, characteristic, complemented
25C22×#63256C2211yescharacteristic, complemented
26C22×#63252C2211yescharacteristic, complemented
27C22×Q8×D17C2211yescharacteristic, complemented
28C23×D68C2212yes—
29C23×D68C2211yescharacteristic, complemented
30C22×D4×D17C2211yescharacteristic
31C23×C4×D17C2211yescharacteristic
32C23×C4×D17C2211yescharacteristic, complemented
33#11763512C22116yescomplemented
34#11763512C22132yescomplemented
35#11763510C22132yescomplemented
36#11763503C22116yescomplemented
37#11763494C22116yescomplemented
38#11763483C22132yescomplemented
39#11763482C22132yescomplemented
40#11763471C22116yescomplemented
41#11763469C22116yescomplemented
42#11763455C22116yescomplemented
43#11763450C22116yescomplemented
44#11763407C22132yescomplemented
45#11763398C22132yescomplemented
46#11763370C22132yescomplemented
47#11763346C22116yescomplemented
48#11763344C22116yescomplemented
49C2×#10587584C2212yescomplemented
50C2×#10587584C2212yescomplemented
51C2×#10587584C2212yescomplemented
52C2×#10587584C2212yescomplemented
53C2×#10587562C2212yescomplemented
54C2×#10587576C2211yescharacteristic, complemented
55C2×#10587575C2212yescomplemented
56C2×#10587633C2211yescharacteristic, complemented
57C2×#10587561C2212yescomplemented
58C2×#10587561C2211yescharacteristic, complemented
59C2×#10587571C2212yescomplemented
60#11763322C22116yescomplemented
61#11763321C22116yescomplemented
62C2×#10587580C2212yescomplemented
63C2×#10587580C2212yescomplemented
64C2×#10587580C2212yescomplemented
65C2×#10587580C2212yescomplemented
66C2×#10587580C2212yescomplemented
67C2×#10587580C2212yescomplemented
68C2×#10587572C2212yescomplemented
69C2×#10587615C2212yes—
70C2×#10587569C2212yescomplemented
71C2×#10587583C2212yescomplemented
72C2×#10587583C2211yescharacteristic, complemented
73C2×#10587583C2211yescharacteristic, complemented
74C2×#10587610C2211yescharacteristic, complemented
75C2×#10587582C2212yescomplemented
76C2×#10587582C2212yescomplemented
77C2×#10587564C2212yescomplemented
78C2×#10587632C2211yescharacteristic, complemented
79C22⋊Q8×D17C22116yescomplemented
80C2×#10587581C2212yes—
81C2×#10587581C2211yescharacteristic
82C2×#10587581C2211yescharacteristic
83C2×#10587581C2212yescomplemented
84C2×#10587581C2212yescomplemented
85C2×#10587581C2212yescomplemented
86C2×#10587581C2211yescharacteristic, complemented
87C2×#10587581C2211yescharacteristic, complemented
88C2×#10587581C2211yescharacteristic, complemented
89C2×#10587581C2212yescomplemented
90C2×#10587581C22116yescomplemented
91C2×#10587616C2211yescharacteristic, complemented
92C2×#10587570C2212yescomplemented
93C2×#10587570C2212yescomplemented
94C2×#10587570C2212yescomplemented
95C2×#10587568C2212yes—
96C2×#10587568C2212yescomplemented
97C2×#10587568C2212yescomplemented
98C2×#10587623C2212yes—
99#11763283C22132yescomplemented
100C2×#10587573C2211yescharacteristic, complemented
101C2×C4×D68C2212yescomplemented
102C2×C4×D68C2212yescomplemented
103C2×C4×D68C2211yescharacteristic, complemented
104C2×C4×D68C2212yescomplemented
105C2×C4×D68C2212yescomplemented
106C2×C4×D68C2211yescharacteristic, complemented
107C2×C4×D68C2212yescomplemented
108C2×D4×Dic17C2211yescharacteristic
109C2×#10587579C2212yescomplemented
110C2×#10587579C2212yescomplemented
111C2×#10587579C2211yescharacteristic, complemented
112C2×#10587579C2212yescomplemented
113C2×#10587579C2212yescomplemented
114C2×#10587579C2211yescharacteristic, complemented
115C2×C4×C22⋊D17C2211yescharacteristic
116C2×C4×C22⋊D17C2211yescharacteristic, complemented
117C2×#10587567C2211yescharacteristic
118C2×#10587567C2211yescharacteristic, complemented
119C2×#10587567C2212yescomplemented
120C4×D4×D17C22116yescomplemented
121C2×#10587612C2212yescomplemented
122C2×#10587578C2212yescomplemented
123C2×#10587578C2211yescharacteristic, complemented
124C2×#10587558C2212yescomplemented
125C2×C4⋊C4×D17C2211yescharacteristic, complemented
126C2×C4⋊C4×D17C2211yescharacteristic, complemented
127C2×C4⋊C4×D17C2212yescomplemented
128C22×#63227C2212yescomplemented
129C2×C22⋊C4×D17C2212yes—
130C2×C22⋊C4×D17C2211yescharacteristic
131C2×C22⋊C4×D17C2211yescharacteristic, complemented
132C2×C22⋊C4×D17C2212yescomplemented
133C2×C22⋊C4×D17C2212yescomplemented
134C2×C42×D17C2211yescharacteristic, complemented
135C17×#552C22116yescomplemented
136C2×C17×#126C2212yescomplemented
137C2×C17×#125C2212yescomplemented
138C2×C17×#125C2211yescharacteristic, complemented
139C2×C17×#123C2212yes—
140C2×C17×C22⋊Q8C2211yescharacteristic, complemented
141C2×C17×C22⋊Q8C2211yescharacteristic, complemented
142C2×C4×Q8×C17C2211yescharacteristic, complemented
143C2×C4×D4×C17C2211yescharacteristic
144C2×C17×#117C2212yescomplemented
145C2×C17×#117C2211yescharacteristic, complemented
146C22×C4⋊C4×C17C2211yescharacteristic, complemented
147C24×D17C2312yes—
148C24×D17C2311yescharacteristic
149C24×D17C2311yescharacteristic
150C22×Q8×C17C2311yescharacteristic
151C22×D4×C17C2311yescharacteristic
152C23×C4×C17C2312yes—
153C23×C4×C17C2311yescharacteristic
154C23×C4×C17C2311yescharacteristic
155C22×C22⋊D17C2311yescharacteristic
156C22×C22⋊D17C2311yescharacteristic
157C22×C22⋊D17C2312yes—
158C22×C22⋊D17C2312yes—
159C23×Dic17C2311yescharacteristic
160C23×Dic17C2311yescharacteristic
161C2×#63256—44no—
162C2×#63256C2318yescomplemented
163C2×Q8×D17—44no—
164C2×Q8×D17C2318yescomplemented
165C2×D4×D17—28no—
166C2×D4×D17C2318yes—
167C2×#63252—44no—
168C2×#63252C2318yescomplemented
169C22×D68—216no—
170C22×D68—44no—
171C22×D68C2312yes—
172C22×D68C2312yes—
173C22×D68C2311yescharacteristic
174C22×D68C2311yescharacteristic
175C22×D68C2312yes—
176C22×D68C2312yes—
177C22×D68C2311yescharacteristic
178C22×D68C23116yes—
179C22×D68C2312yes—
180C22×D68C2312yes—
181C22×D68C2312yes—
182C22×D68C2318yescomplemented
183C22×C4×D17—44no—
184C22×C4×D17—44no—
185C22×C4×D17C2311yescharacteristic
186C22×C4×D17C2311yescharacteristic
187C22×C4×D17C2311yescharacteristic
188C22×C4×D17C2311yescharacteristic
189C22×C4×D17C2311yescharacteristic
190C22×C4×D17C2312yes—
191C22×C4×D17C2311yescharacteristic
192C22×C4×D17C2312yes—
193C22×C4×D17C2311yescharacteristic
194C22×C4×D17C2312yes—
195C22×C4×D17C2312yes—
196C22×C4×D17C2312yes—
197C22×C4×D17C2312yes—
198C22×C4×D17C2311yescharacteristic
199C22×C4×D17C2318yes—
200C22×C4×D17C2311yescharacteristic
201C22×C4×D17C2318yescomplemented
202C22×Dic34C2311yescharacteristic
203C22×Dic34C2312yes—
204C17×#126C23116yescomplemented
205C17×#125C2318yescomplemented
206C17×#125C23116yescomplemented
207C17×#123C23116yes—
208C17×C22⋊Q8C2318yescomplemented
209C17×C22⋊Q8C2318yescomplemented
210C4×Q8×C17C2318yescomplemented
211C4×D4×C17C2318yes—
212C17×#117C23116yescomplemented
213C17×#117C2318yescomplemented
214C2×C4⋊C4×C17C2311yescharacteristic
215C2×C4⋊C4×C17C2311yescharacteristic
216C2×C4⋊C4×C17C2312yes—
217C2×C4⋊C4×C17C2311yescharacteristic
218C2×C4⋊C4×C17C2312yes—
219C2×C4⋊C4×C17C2312yes—
220C2×C4⋊C4×C17C2311yescharacteristic
221C2×C4⋊C4×C17C2312yes—
222C2×C4⋊C4×C17C2312yes—
223C2×C4⋊C4×C17C2312yes—
224C2×C4⋊C4×C17C2318yescomplemented
225C2×C22⋊C4×C17C2311yescharacteristic
226C2×C22⋊C4×C17C2312yes—
227C2×C22⋊C4×C17C2312yes—
228C2×C22⋊C4×C17C2311yescharacteristic
229C2×C22⋊C4×C17C2312yes—
230C2×C42×C17C2312yes—
231C2×C42×C17C2312yes—
232C2×C42×C17C2311yescharacteristic
233C2×C22⋊Dic17C2311yescharacteristic
234C2×C22⋊Dic17C2312yes—
235C2×C22⋊Dic17C2311yescharacteristic
236#10587633C2318yescomplemented
237#10587632C2318yescomplemented
238#10587623C23116yes—
239D4×Dic17C2318yes—
240#10587616C2318yescomplemented
241#10587615C23116yes—
242C4×C22⋊D17C2318yes—
243C4×C22⋊D17C2318yescomplemented
244C2×#63227C2311yescharacteristic
245C2×#63227C2311yescharacteristic
246C2×#63227C2312yes—
247C2×#63227C2312yes—
248C2×#63227C2311yescharacteristic
249C2×#63227C2311yescharacteristic
250C2×#63227C2312yes—
251C2×#63227C2312yes—
252C2×#63227C2312yes—
253C2×#63227C2312yes—
254C2×#63227C2312yes—
255C2×#63227C2312yes—
256C2×#63227C2312yes—
257C2×#63227C2312yes—
258C2×#63227C2312yes—
259C2×#63227C2312yes—
260C2×#63227C2312yes—
261C2×#63227C2312yes—
262C2×#63227C2312yes—
263C2×#63227C2312yes—
264C2×#63227C23116yescomplemented
265#10587612C23116yescomplemented
266C2×C4⋊Dic17C2311yescharacteristic
267C2×C4⋊Dic17C2312yes—
268C2×C4⋊Dic17C2311yescharacteristic
269C2×C4⋊Dic17C2312yes—
270C2×C4⋊Dic17C2312yes—
271#10587610C2318yescomplemented
272C2×#63225C2312yes—
273C2×#63225C2311yescharacteristic
274C2×#63225C2311yescharacteristic
275C2×#63225C2312yes—
276C2×#63225C2312yes—
277C2×#63225C2312yes—
278C2×#63225C2312yes—
279C2×C4×Dic17C2311yescharacteristic
280C2×C4×Dic17C2311yescharacteristic
281C2×C4×Dic17C2311yescharacteristic
282C2×C4×Dic17C2312yes—
283C2×C4×Dic17C2312yes—
284#10587584C23116yescomplemented
285#10587584C23116yescomplemented
286#10587584C23116yescomplemented
287#10587584C23116yescomplemented
288#10587583C23116yescomplemented
289#10587583C2318yescomplemented
290#10587583C2318yescomplemented
291#10587582C23116yescomplemented
292#10587582C23116yescomplemented
293#10587581C2318yes—
294#10587581C2318yes—
295#10587581C23116yes—
296#10587581C2318yescomplemented
297#10587581C2318yescomplemented
298#10587581C23116yescomplemented
299#10587581C23116yescomplemented
300#10587581C23116yescomplemented
301#10587581C2318yescomplemented
302#10587581C23116yescomplemented
303#10587580C23116yescomplemented
304#10587580C23116yescomplemented
305#10587580C23116yescomplemented
306#10587580C23116yescomplemented
307#10587580C23116yescomplemented
308#10587580C23116yescomplemented
309#10587579C23116yescomplemented
310#10587579C2318yescomplemented
311#10587579C23116yescomplemented
312#10587579C2318yescomplemented
313#10587579C23116yescomplemented
314#10587579C23116yescomplemented
315#10587578C23116yescomplemented
316#10587578C2318yescomplemented
317C4⋊C4×D17C2318yescomplemented
318C4⋊C4×D17C23116yescomplemented
319C4⋊C4×D17C2318yescomplemented
320#10587576C2318yescomplemented
321#10587575C23116yescomplemented
322#10587573C2318yescomplemented
323#10587572C23116yescomplemented
324#10587571C23116yescomplemented
325#10587570C23116yescomplemented
326#10587570C23116yescomplemented
327#10587570C23116yescomplemented
328#10587569C23116yescomplemented
329#10587568C23116yes—
330#10587568C23116yescomplemented
331#10587568C23116yescomplemented
332#10587567C2318yes—
333#10587567C23116yescomplemented
334#10587567C2318yescomplemented
335C22⋊C4×D17C2318yes—
336C22⋊C4×D17C23116yes—
337C22⋊C4×D17C23116yescomplemented
338C22⋊C4×D17C23116yescomplemented
339C22⋊C4×D17C2318yescomplemented
340#10587564C23116yescomplemented
341#10587562C23116yescomplemented
342#10587561C23116yescomplemented
343#10587561C2318yescomplemented
344C4×D68C23116yescomplemented
345C4×D68C2318yescomplemented
346C4×D68C23116yescomplemented
347C4×D68C23116yescomplemented
348C4×D68C2318yescomplemented
349C4×D68C23116yescomplemented
350C4×D68C23116yescomplemented
351#10587558C23116yescomplemented
352C42×D17C2318yescomplemented
353C24×C17C2411yescharacteristic
354C24×C17C2411yescharacteristic
355C23×D17—28no—
356C23×D17—24no—
357C23×D17—42no—
358C23×D17—42no—
359C23×D17—42no—
360C23×D17—42no—
361C23×D17—44no—
362C23×D17—44no—
363C23×D17#4118yescomplemented
364C23×D17C2412yes—
365C23×D17C2412yes—
366C23×D17C2411yescharacteristic
367C23×D17C2411yescharacteristic
368C23×D17C2411yescharacteristic
369C23×D17C2414yes—
370C23×D17C2418yes—
371C23×D17C2414yes—
372C2×Q8×C17—24no—
373C2×Q8×C17C2414yes—
374C2×D4×C17—24no—
375C2×D4×C17C2414yes—
376C22×C4×C17—28no—
377C22×C4×C17—24no—
378C22×C4×C17—24no—
379C22×C4×C17C2414yes—
380C22×C4×C17C2414yes—
381C22×C4×C17C2418yes—
382C22×C4×C17C2412yes—
383C22×C4×C17C2411yescharacteristic
384C22×C4×C17C2411yescharacteristic
385C22×C4×C17C2411yescharacteristic
386C22×C4×C17C2412yes—
387C22×C4×C17C2411yescharacteristic
388C22×C4×C17C2412yes—
389C22×C4×C17C2412yes—
390C22×C4×C17C2411yescharacteristic
391C2×C22⋊D17—24no—
392C2×C22⋊D17—24no—
393C2×C22⋊D17—44no—
394C2×C22⋊D17—44no—
395C2×C22⋊D17C2414yes—
396C2×C22⋊D17C2414yes—
397C2×C22⋊D17C2418yes—
398C2×C22⋊D17C2418yes—
399C22×Dic17—42no—
400C22×Dic17—42no—
401C22×Dic17C2411yescharacteristic
402C22×Dic17C2412yes—
403C22×Dic17C2411yescharacteristic
404C22×Dic17C2411yescharacteristic
405C22×Dic17C2411yescharacteristic
406C22×Dic17C2412yes—
407C22×Dic17C2411yescharacteristic
408C22×Dic17C2414yes—
409C22×Dic17C2414yes—
410#63256—416no—
411Q8×D17—416no—
412D4×D17—232no—
413#63252—416no—
414C2×D68—28no—
415C2×D68—28no—
416C2×D68—28no—
417C2×D68—28no—
418C2×D68—24no—
419C2×D68—264no—
420C2×D68—24no—
421C2×D68—24no—
422C2×D68—416no—
423C2×D68—44no—
424C2×D68—44no—
425C2×D68—44no—
426C2×D68C2418yes—
427C2×D68C2418yes—
428C2×D68C2418yes—
429C2×D68C2418yes—
430C2×D68C2414yes—
431C2×D68C2414yes—
432C2×D68C2414yes—
433C2×D68C2418yes—
434C2×D68C2418yes—
435C2×D68C2418yes—
436C2×C4×D17—24no—
437C2×C4×D17—24no—
438C2×C4×D17—24no—
439C2×C4×D17—24no—
440C2×C4×D17—416no—
441C2×C4×D17—416no—
442C2×C4×D17—42no—
443C2×C4×D17—42no—
444C2×C4×D17—42no—
445C2×C4×D17—42no—
446C2×C4×D17—42no—
447C2×C4×D17—44no—
448C2×C4×D17—44no—
449C2×C4×D17—44no—
450C2×C4×D17—44no—
451C2×C4×D17—44no—
452C2×C4×D17—44no—
453C2×C4×D17C2414yes—
454C2×C4×D17C2414yes—
455C2×C4×D17C2414yes—
456C2×C4×D17C2414yes—
457C2×C4×D17C2414yes—
458C2×C4×D17C2414yes—
459C2×C4×D17C2414yes—
460C2×C4×D17C2414yes—
461C2×C4×D17C2418yes—
462C2×C4×D17C2418yes—
463C2×C4×D17C2418yes—
464C2×C4×D17C2414yes—
465C2×C4×D17C2418yes—
466C2×C4×D17C2418yes—
467C2×C4×D17C2418yes—
468C2×Dic34—24no—
469C2×Dic34—44no—
470C2×Dic34C2414yes—
471C2×Dic34C2418yes—
472C4⋊C4×C17C2418yes—
473C4⋊C4×C17C2414yes—
474C4⋊C4×C17C2414yes—
475C4⋊C4×C17C2418yes—
476C4⋊C4×C17C2418yes—
477C4⋊C4×C17C2418yes—
478C4⋊C4×C17C2414yes—
479C4⋊C4×C17C2418yes—
480C4⋊C4×C17C2418yes—
481C4⋊C4×C17C2414yes—
482C22⋊C4×C17C2418yes—
483C22⋊C4×C17C2418yes—
484C22⋊C4×C17C2418yes—
485C22⋊C4×C17C2414yes—
486C22⋊C4×C17C2414yes—
487C42×C17C2414yes—
488C42×C17C2418yes—
489C42×C17C2418yes—
490C22⋊Dic17C2418yes—
491C22⋊Dic17C2414yes—
492C22⋊Dic17C2414yes—
493#63227C2418yes—
494#63227C2418yes—
495#63227C2414yes—
496#63227C2414yes—
497#63227C2414yes—
498#63227C2418yes—
499#63227C2418yes—
500#63227C2418yes—
501#63227C2418yes—
502#63227C2418yes—
503#63227C2418yes—
504#63227C2418yes—
505#63227C2418yes—
506#63227C2418yes—
507#63227C2418yes—
508#63227C2418yes—
509#63227C2414yes—
510#63227C2418yes—
511#63227C2418yes—
512#63227C2418yes—
513C4⋊Dic17C2418yes—
514C4⋊Dic17C2418yes—
515C4⋊Dic17C2418yes—
516C4⋊Dic17C2414yes—
517C4⋊Dic17C2414yes—
518#63225C2418yes—
519#63225C2418yes—
520#63225C2414yes—
521#63225C2418yes—
522#63225C2414yes—
523#63225C2418yes—
524#63225C2418yes—
525C4×Dic17C2414yes—
526C4×Dic17C2414yes—
527C4×Dic17C2414yes—
528C4×Dic17C2418yes—
529C4×Dic17C2418yes—
530C2×#3505—171nomaximal, Sylow
531C23×C17—22no—
532C23×C17—22no—
533C23×C17—22no—
534C23×C17—22no—
535C23×C17—22no—
536C23×C17C2×#4114yes—
537C23×C17C2512yes—
538C23×C17C2512yes—
539C23×C17C2511yescharacteristic
540C22×D17—22no—
541C22×D17—22no—
542C22×D17—22no—
543C22×D17—22no—
544C22×D17—24no—
545C22×D17—24no—
546C22×D17—22no—
547C22×D17—22no—
548C22×D17—24no—
549C22×D17—24no—
550C22×D17—24no—
551C22×D17—24no—
552C22×D17—22no—
553C22×D17—216no—
554C22×D17—28no—
555C22×D17—44no—
556C22×D17—44no—
557C22×D17—416no—
558C22×D17—44no—
559C22×D17—44no—
560C22×D17—48no—
561C22×D17—48no—
562C22×D17—416no—
563C22×D17—816no—
564C22×D17C2×#4114yes—
565C22×D17C2×#4114yes—
566C22×D17C2×#41116yescomplemented
567C22×D17C2514yes—
568C22×D17C2514yes—
569C22×D17C2512yes—
570C22×D17C2512yes—
571C22×D17C2512yes—
572Q8×C17—28no—
573D4×C17—28no—
574C2×C4×C17—22no—
575C2×C4×C17—216no—
576C2×C4×C17—24no—
577C2×C4×C17—24no—
578C2×C4×C17—24no—
579C2×C4×C17—22no—
580C2×C4×C17—22no—
581C2×C4×C17—22no—
582C2×C4×C17—24no—
583C2×C4×C17—28no—
584C2×C4×C17—28no—
585C2×C4×C17H(5,𝔽2)14yes—
586C2×C4×C17C2512yes—
587C2×C4×C17C2512yes—
588C2×C4×C17C2514yes—
589C2×C4×C17C2514yes—
590C2×C4×C17C2514yes—
591C2×C4×C17C2512yes—
592C2×C4×C17C2512yes—
593C2×C4×C17C2514yes—
594C2×C4×C17C2512yes—
595C22⋊D17—28no—
596C22⋊D17—28no—
597C22⋊D17—48no—
598C22⋊D17—48no—
599C2×Dic17—22no—
600C2×Dic17—24no—
601C2×Dic17—22no—
602C2×Dic17—22no—
603C2×Dic17—22no—
604C2×Dic17—22no—
605C2×Dic17—24no—
606C2×Dic17—44no—
607C2×Dic17—44no—
608C2×Dic17C2512yes—
609C2×Dic17C2512yes—
610C2×Dic17C2514yes—
611C2×Dic17C2512yes—
612C2×Dic17C2514yes—
613C2×Dic17C2512yes—
614C2×Dic17C2512yes—
615D68—216no—
616D68—216no—
617D68—216no—
618D68—216no—
619D68—28no—
620D68—28no—
621D68—28no—
622D68—48no—
623D68—48no—
624D68—48no—
625C4×D17—28no—
626C4×D17—28no—
627C4×D17—28no—
628C4×D17—28no—
629C4×D17—44no—
630C4×D17—44no—
631C4×D17—44no—
632C4×D17—44no—
633C4×D17—44no—
634C4×D17—48no—
635C4×D17—48no—
636C4×D17—48no—
637C4×D17—48no—
638C4×D17—48no—
639C4×D17—48no—
640Dic34—28no—
641Dic34—48no—
642#3505—1732no—
643C2×#553—172no—
644C2×#553—171no—
645C2×#553—172no—
646C2×#553—171no—
647C2×#552—171no—
648C2×#552D1711yescharacteristic, complemented
649C2×#551—172no—
650C2×#551—172no—
651C2×#548—171no—
652C2×#548—171no—
653C2×#546—171no—
654C2×#546—171no—
655C2×#539—172no—
656C2×#538—172no—
657C2×#534—172no—
658C2×#529—171no—
659C2×#529—171no—
660C2×#525—171no—
661C2×#525—171no—
662C22×C22⋊Q8—171no—
663C22×#121—171no—
664C2×#518—172no—
665C22×C4×D4—171no—
666C22×C17—22no—
667C22×C17—22no—
668C22×C17—28no—
669C22×C17—22no—
670C22×C17—22no—
671C22×C17—22no—
672C22×C17—44no—
673C22×C17C22×#4114yes—
674C22×C17C22×#4112yes—
675C22×C17C2×H(5,𝔽2)12yes—
676C22×C17#58512yes—
677C22×C17C2611yescharacteristic
678C2×D17—22no—
679C2×D17—22no—
680C2×D17—22no—
681C2×D17—22no—
682C2×D17—28no—
683C2×D17—28no—
684C2×D17—24no—
685C2×D17—24no—
686C2×D17—22no—
687C2×D17—22no—
688C2×D17—24no—
689C2×D17—24no—
690C2×D17—24no—
691C2×D17—24no—
692C2×D17—22no—
693C2×D17—416no—
694C2×D17—416no—
695C2×D17—44no—
696C2×D17—48no—
697C2×D17—48no—
698C2×D17—816no—
699C2×D17C22×#4114yes—
700C2×D17C22×#4114yes—
701C4×C17—22no—
702C4×C17—24no—
703C4×C17—24no—
704C4×C17—24no—
705C4×C17—22no—
706C4×C17—22no—
707C4×C17—22no—
708C4×C17—24no—
709C4×C17C2×H(5,𝔽2)14yes—
710Dic17—22no—
711Dic17—24no—
712Dic17—22no—
713Dic17—22no—
714Dic17—22no—
715Dic17—22no—
716Dic17—24no—
717C22×#41—171no—
718C22×#41—171no—
719C23×Q8—171no—
720C23×D4—171no—
721C23×D4—172no—
722C23×D4—171no—
723C24×C4—171no—
724C24×C4—171no—
725#553—1732no—
726#553—1716no—
727#553—1732no—
728#553—1716no—
729#552—1716no—
730#552C2×D17116yescomplemented
731#551—1732no—
732#551—1732no—
733#548—1716no—
734#548—1716no—
735#546—1716no—
736#546—1716no—
737#539—1732no—
738#538—1732no—
739#534—1732no—
740#529—1716no—
741#529—1716no—
742C2×#126—172no—
743C2×#126—172no—
744C2×#126—172no—
745C2×#126—172no—
746C2×#126—172no—
747C2×#126C2×D1712yescomplemented
748C2×#125—171no—
749C2×#125—172no—
750C2×#125C2×D1711yescharacteristic, complemented
751C2×#125C2×D1712yescomplemented
752C2×#124—171no—
753C2×#124—172no—
754C2×#124—171no—
755C2×#124—172no—
756#525—1716no—
757#525—1716no—
758C2×#123—172no—
759C2×#123—172no—
760C2×#123—172no—
761C2×#123—172no—
762C2×#123—172no—
763C2×#123—172no—
764C2×#123—172no—
765C2×#123—172no—
766C2×#123—172no—
767C2×#123C2×D1712yes—
768C2×C22⋊Q8—171no—
769C2×C22⋊Q8—171no—
770C2×C22⋊Q8—1716no—
771C2×C22⋊Q8—172no—
772C2×C22⋊Q8—171no—
773C2×C22⋊Q8—172no—
774C2×C22⋊Q8—171no—
775C2×C22⋊Q8—172no—
776C2×C22⋊Q8—172no—
777C2×C22⋊Q8C2×D1711yescharacteristic, complemented
778C2×C22⋊Q8C2×D1711yescharacteristic, complemented
779C2×#121—171no—
780C2×#121—171no—
781C2×#121—171no—
782C2×#121—172no—
783C2×#121—171no—
784C2×#121—171no—
785C2×#121—172no—
786C2×#121—171no—
787C2×#121—172no—
788C2×#121—172no—
789C2×#121—172no—
790C2×#121—1716no—
791C2×#121—172no—
792C2×#121—172no—
793C2×#121—172no—
794C2×#120—172no—
795C2×#120—172no—
796C2×#120—172no—
797C2×#120—172no—
798#518—1732no—
799C2×C4×Q8—171no—
800C2×C4×Q8C2×D1711yescharacteristic, complemented
801C2×C4×D4—171no—
802C2×C4×D4—171no—
803C2×C4×D4—171no—
804C2×C4×D4—1716no—
805C2×C4×D4—171no—
806C2×C4×D4—172no—
807C2×C4×D4—172no—
808C2×C4×D4—172no—
809C2×C4×D4—172no—
810C2×C4×D4—171no—
811C2×C4×D4—171no—
812C2×C4×D4—171no—
813C2×C4×D4—172no—
814C2×C4×D4—171no—
815C2×C4×D4—172no—
816C2×C4×D4—172no—
817C2×C4×D4—172no—
818C2×C4×D4—172no—
819C2×C4×D4—172no—
820C2×C4×D4—171no—
821C2×C4×D4C2×D1711yescharacteristic
822C2×#117—172no—
823C2×#117—171no—
824C2×#117—172no—
825C2×#117—172no—
826C2×#117C2×D1712yescomplemented
827C2×#117C2×D1711yescharacteristic, complemented
828C22×C4⋊C4—171no—
829C22×C4⋊C4—171no—
830C22×C4⋊C4—172no—
831C22×C4⋊C4C2×D1711yescharacteristic, complemented
832C22×C22⋊C4—172no—
833C22×C22⋊C4—171no—
834C22×C22⋊C4—172no—
835C22×C22⋊C4—171no—
836C22×C22⋊C4—172no—
837C22×C22⋊C4—172no—
838C22×C42—171no—
839C2×C17—24no—
840C2×C17—42no—
841C2×C17#350514yescomplemented
842C2×C17C23×#4111yescharacteristic
843C2×C17C22×H(5,𝔽2)11yescharacteristic
844C2×C17C2×#58511yescharacteristic
845D17—24no—
846D17—24no—
847D17—42no—
848D17—44no—
849D17—44no—
850C25—171no—
851C25—172no—
852C25—171no—
853C2×#41—178no—
854C2×#41—178no—
855C2×#41—684no—
856C2×#41—684no—
857C22×Q8—178no—
858C22×Q8—171no—
859C22×Q8—172no—
860C22×Q8—684no—
861C22×Q8C22×D1711yescharacteristic
862C22×D4—171no—
863C22×D4—171no—
864C22×D4—172no—
865C22×D4—172no—
866C22×D4—178no—
867C22×D4—172no—
868C22×D4—172no—
869C22×D4—172no—
870C22×D4—171no—
871C22×D4—172no—
872C22×D4—171no—
873C22×D4—171no—
874C22×D4—1716no—
875C22×D4—172no—
876C22×D4—172no—
877C22×D4—172no—
878C22×D4—178no—
879C22×D4—3416no—
880C22×D4—348no—
881C22×D4—684no—
882C22×D4C22×D1711yescharacteristic
883C23×C4—171no—
884C23×C4—171no—
885C23×C4—171no—
886C23×C4—171no—
887C23×C4—171no—
888C23×C4—171no—
889C23×C4—171no—
890C23×C4—172no—
891C23×C4—171no—
892C23×C4—172no—
893C23×C4—171no—
894C23×C4—172no—
895C23×C4—172no—
896C23×C4—172no—
897C23×C4—172no—
898C23×C4—171no—
899C23×C4—171no—
900C23×C4—178no—
901C23×C4—178no—
902C23×C4—684no—
903C23×C4—684no—
904C23×C4C22×D1712yes—
905C23×C4C22×D1711yescharacteristic
906C23×C4C22×D1711yescharacteristic
907#126—1716no—
908#126—1716no—
909#126—1716no—
910#126—1716no—
911#126—1716no—
912#126C22×D17116yescomplemented
913#125—178no—
914#125—1716no—
915#125C22×D1718yescomplemented
916#125C22×D17116yescomplemented
917#124—178no—
918#124—1716no—
919#124—178no—
920#124—1716no—
921#123—1716no—
922#123—1716no—
923#123—1716no—
924#123—1716no—
925#123—1716no—
926#123—1716no—
927#123—1716no—
928#123—1716no—
929#123—1716no—
930#123C22×D17116yes—
931C22⋊Q8—178no—
932C22⋊Q8—178no—
933C22⋊Q8—178no—
934C22⋊Q8—1716no—
935C22⋊Q8—178no—
936C22⋊Q8—1716no—
937C22⋊Q8—1716no—
938C22⋊Q8—1716no—
939C22⋊Q8C22×D1718yescomplemented
940C22⋊Q8C22×D1718yescomplemented
941#121—178no—
942#121—178no—
943#121—178no—
944#121—1716no—
945#121—178no—
946#121—178no—
947#121—1716no—
948#121—178no—
949#121—1716no—
950#121—1716no—
951#121—1716no—
952#121—1716no—
953#121—1716no—
954#121—1716no—
955#120—1716no—
956#120—1716no—
957#120—1716no—
958#120—1716no—
959C4×Q8—178no—
960C4×Q8C22×D1718yescomplemented
961C4×D4—178no—
962C4×D4—178no—
963C4×D4—178no—
964C4×D4—178no—
965C4×D4—1716no—
966C4×D4—1716no—
967C4×D4—1716no—
968C4×D4—1716no—
969C4×D4—178no—
970C4×D4—178no—
971C4×D4—178no—
972C4×D4—1716no—
973C4×D4—178no—
974C4×D4—1716no—
975C4×D4—1716no—
976C4×D4—1716no—
977C4×D4—1716no—
978C4×D4—1716no—
979C4×D4—178no—
980C4×D4C22×D1718yes—
981#117—1716no—
982#117—178no—
983#117—1716no—
984#117—1716no—
985#117C22×D17116yescomplemented
986#117C22×D1718yescomplemented
987C2×C4⋊C4—171no—
988C2×C4⋊C4—172no—
989C2×C4⋊C4—172no—
990C2×C4⋊C4—171no—
991C2×C4⋊C4—171no—
992C2×C4⋊C4—171no—
993C2×C4⋊C4—172no—
994C2×C4⋊C4—172no—
995C2×C4⋊C4—172no—
996C2×C4⋊C4—172no—
997C2×C4⋊C4—172no—
998C2×C4⋊C4—172no—
999C2×C4⋊C4—178no—
1000C2×C4⋊C4—178no—
1001C2×C4⋊C4—1716no—
1002C2×C4⋊C4C22×D1711yescharacteristic
1003C2×C4⋊C4C22×D1711yescharacteristic
1004C2×C4⋊C4C22×D1712yes—
1005C2×C4⋊C4C22×D1711yescharacteristic
1006C2×C4⋊C4C22×D1711yescharacteristic
1007C2×C4⋊C4C22×D1712yes—
1008C2×C4⋊C4C22×D1712yes—
1009C2×C4⋊C4C22×D1712yes—
1010C2×C4⋊C4C22×D1712yes—
1011C2×C4⋊C4C22×D1712yes—
1012C2×C4⋊C4C22×D1718yescomplemented
1013C2×C22⋊C4—171no—
1014C2×C22⋊C4—172no—
1015C2×C22⋊C4—171no—
1016C2×C22⋊C4—172no—
1017C2×C22⋊C4—172no—
1018C2×C22⋊C4—171no—
1019C2×C22⋊C4—171no—
1020C2×C22⋊C4—172no—
1021C2×C22⋊C4—172no—
1022C2×C22⋊C4—171no—
1023C2×C22⋊C4—172no—
1024C2×C22⋊C4—172no—
1025C2×C22⋊C4—172no—
1026C2×C22⋊C4—172no—
1027C2×C22⋊C4—171no—
1028C2×C22⋊C4—172no—
1029C2×C22⋊C4—172no—
1030C2×C22⋊C4—1716no—
1031C2×C22⋊C4—172no—
1032C2×C22⋊C4—172no—
1033C2×C22⋊C4—172no—
1034C2×C22⋊C4—172no—
1035C2×C22⋊C4—172no—
1036C2×C22⋊C4—172no—
1037C2×C22⋊C4—178no—
1038C2×C22⋊C4—178no—
1039C2×C22⋊C4—1716no—
1040C2×C22⋊C4—1716no—
1041C2×C22⋊C4—1716no—
1042C2×C22⋊C4C22×D1711yescharacteristic
1043C2×C22⋊C4C22×D1712yes—
1044C2×C22⋊C4C22×D1711yescharacteristic
1045C2×C22⋊C4C22×D1712yes—
1046C2×C22⋊C4C22×D1712yes—
1047C2×C42—172no—
1048C2×C42—172no—
1049C2×C42—171no—
1050C2×C42—171no—
1051C2×C42—171no—
1052C2×C42—178no—
1053C2×C42C22×D1712yes—
1054C2×C42C22×D1712yes—
1055C2×C42C22×D1711yescharacteristic
1056C17C2×#350511yescharacteristic, complemented, Sylow
1057C24—171no—
1058C24—171no—
1059C24—178no—
1060C24—174no—
1061C24—171no—
1062C24—172no—
1063C24—172no—
1064C24—178no—
1065C24—174no—
1066C24—344no—
1067C24—348no—
1068C24—682no—
1069C24—682no—
1070C24—682no—
1071C24—682no—
1072C24—684no—
1073C24—684no—
1074C24C23×D1711yescharacteristic
1075C24C23×D1711yescharacteristic
1076#41—6816no—
1077#41—6816no—
1078C2×Q8—24no—
1079C2×Q8—174no—
1080C2×Q8—178no—
1081C2×Q8—344no—
1082C2×Q8—684no—
1083C2×Q8—6816no—
1084C2×Q8C23×D1714yes—
1085C2×D4—24no—
1086C2×D4—174no—
1087C2×D4—174no—
1088C2×D4—178no—
1089C2×D4—178no—
1090C2×D4—178no—
1091C2×D4—178no—
1092C2×D4—178no—
1093C2×D4—174no—
1094C2×D4—178no—
1095C2×D4—174no—
1096C2×D4—174no—
1097C2×D4—178no—
1098C2×D4—178no—
1099C2×D4—178no—
1100C2×D4—348no—
1101C2×D4—348no—
1102C2×D4—348no—
1103C2×D4—348no—
1104C2×D4—3464no—
1105C2×D4—344no—
1106C2×D4—3432no—
1107C2×D4—344no—
1108C2×D4—344no—
1109C2×D4—344no—
1110C2×D4—344no—
1111C2×D4—6816no—
1112C2×D4—684no—
1113C2×D4—684no—
1114C2×D4—684no—
1115C2×D4—684no—
1116C2×D4—684no—
1117C2×D4C23×D1714yes—
1118C22×C4—28no—
1119C22×C4—24no—
1120C22×C4—24no—
1121C22×C4—171no—
1122C22×C4—171no—
1123C22×C4—171no—
1124C22×C4—171no—
1125C22×C4—172no—
1126C22×C4—172no—
1127C22×C4—171no—
1128C22×C4—174no—
1129C22×C4—174no—
1130C22×C4—174no—
1131C22×C4—174no—
1132C22×C4—174no—
1133C22×C4—174no—
1134C22×C4—174no—
1135C22×C4—178no—
1136C22×C4—174no—
1137C22×C4—178no—
1138C22×C4—174no—
1139C22×C4—178no—
1140C22×C4—178no—
1141C22×C4—178no—
1142C22×C4—178no—
1143C22×C4—174no—
1144C22×C4—174no—
1145C22×C4—344no—
1146C22×C4—344no—
1147C22×C4—344no—
1148C22×C4—344no—
1149C22×C4—6816no—
1150C22×C4—6816no—
1151C22×C4—682no—
1152C22×C4—684no—
1153C22×C4—684no—
1154C22×C4—684no—
1155C22×C4—682no—
1156C22×C4—682no—
1157C22×C4—682no—
1158C22×C4—682no—
1159C22×C4—684no—
1160C22×C4—684no—
1161C22×C4—684no—
1162C22×C4—682no—
1163C22×C4—682no—
1164C22×C4C23×D1718yes—
1165C22×C4C23×D1714yes—
1166C22×C4C23×D1714yes—
1167C22×C4C23×D1712yes—
1168C22×C4C23×D1711yescharacteristic
1169C22×C4C23×D1711yescharacteristic
1170C22×C4C23×D1712yes—
1171C22×C4C23×D1711yescharacteristic
1172C22×C4C23×D1712yes—
1173C22×C4C23×D1712yes—
1174C22×C4C23×D1711yescharacteristic
1175C22×C4C23×D1711yescharacteristic
1176C4⋊C4—174no—
1177C4⋊C4—178no—
1178C4⋊C4—178no—
1179C4⋊C4—174no—
1180C4⋊C4—174no—
1181C4⋊C4—174no—
1182C4⋊C4—178no—
1183C4⋊C4—178no—
1184C4⋊C4—178no—
1185C4⋊C4—178no—
1186C4⋊C4—178no—
1187C4⋊C4—178no—
1188C4⋊C4C23×D1714yes—
1189C4⋊C4C23×D1714yes—
1190C4⋊C4C23×D1718yes—
1191C4⋊C4C23×D1714yes—
1192C4⋊C4C23×D1714yes—
1193C4⋊C4C23×D1718yes—
1194C4⋊C4C23×D1718yes—
1195C4⋊C4C23×D1718yes—
1196C4⋊C4C23×D1718yes—
1197C4⋊C4C23×D1718yes—
1198C22⋊C4—174no—
1199C22⋊C4—178no—
1200C22⋊C4—174no—
1201C22⋊C4—178no—
1202C22⋊C4—178no—
1203C22⋊C4—174no—
1204C22⋊C4—174no—
1205C22⋊C4—178no—
1206C22⋊C4—178no—
1207C22⋊C4—174no—
1208C22⋊C4—178no—
1209C22⋊C4—178no—
1210C22⋊C4—178no—
1211C22⋊C4—178no—
1212C22⋊C4—174no—
1213C22⋊C4—178no—
1214C22⋊C4—178no—
1215C22⋊C4—178no—
1216C22⋊C4—178no—
1217C22⋊C4—178no—
1218C22⋊C4—178no—
1219C22⋊C4—178no—
1220C22⋊C4—178no—
1221C22⋊C4C23×D1714yes—
1222C22⋊C4C23×D1718yes—
1223C22⋊C4C23×D1714yes—
1224C22⋊C4C23×D1718yes—
1225C22⋊C4C23×D1718yes—
1226C42—174no—
1227C42—174no—
1228C42—174no—
1229C42—178no—
1230C42—178no—
1231C42C23×D1714yes—
1232C42C23×D1718yes—
1233C42C23×D1718yes—
1234C23—22no—
1235C23—22no—
1236C23—22no—
1237C23—22no—
1238C23—22no—
1239C23—174no—
1240C23—174no—
1241C23—172no—
1242C23—172no—
1243C23—1716no—
1244C23—172no—
1245C23—174no—
1246C23—174no—
1247C23—348no—
1248C23—342no—
1249C23—342no—
1250C23—342no—
1251C23—342no—
1252C23—342no—
1253C23—344no—
1254C23—344no—
1255C23—342no—
1256C23—344no—
1257C23—344no—
1258C23—344no—
1259C23—344no—
1260C23—342no—
1261C23—3416no—
1262C23—684no—
1263C23—684no—
1264C23—6816no—
1265C23—684no—
1266C23—684no—
1267C23—688no—
1268C23—688no—
1269C23—6816no—
1270C23—13616no—
1271C23#41×D1714yes—
1272C23C24×D1712yes—
1273C23C24×D1712yes—
1274C23C24×D1711yescharacteristic
1275Q8—28no—
1276Q8—348no—
1277Q8—688no—
1278D4—28no—
1279D4—3416no—
1280D4—3416no—
1281D4—3416no—
1282D4—3416no—
1283D4—348no—
1284D4—348no—
1285D4—348no—
1286D4—348no—
1287D4—348no—
1288D4—688no—
1289D4—688no—
1290D4—688no—
1291D4—688no—
1292D4—688no—
1293C2×C4—216no—
1294C2×C4—24no—
1295C2×C4—24no—
1296C2×C4—22no—
1297C2×C4—22no—
1298C2×C4—22no—
1299C2×C4—24no—
1300C2×C4—22no—
1301C2×C4—24no—
1302C2×C4—28no—
1303C2×C4—28no—
1304C2×C4—172no—
1305C2×C4—172no—
1306C2×C4—172no—
1307C2×C4—172no—
1308C2×C4—174no—
1309C2×C4—174no—
1310C2×C4—172no—
1311C2×C4—348no—
1312C2×C4—342no—
1313C2×C4—342no—
1314C2×C4—342no—
1315C2×C4—342no—
1316C2×C4—344no—
1317C2×C4—342no—
1318C2×C4—344no—
1319C2×C4—348no—
1320C2×C4—348no—
1321C2×C4—348no—
1322C2×C4—684no—
1323C2×C4—684no—
1324C2×C4—684no—
1325C2×C4—684no—
1326C2×C4—688no—
1327C2×C4—688no—
1328C2×C4—688no—
1329C2×C4—684no—
1330C2×C4—688no—
1331C2×C4—688no—
1332C2×C4—688no—
1333C2×C4—684no—
1334C2×C4—684no—
1335C2×C4#1058769614yes—
1336C2×C4C24×D1714yes—
1337C2×C4C24×D1712yes—
1338C2×C4C24×D1712yes—
1339C2×C4C24×D1714yes—
1340C2×C4C24×D1712yes—
1341C2×C4C24×D1714yes—
1342C2×C4C24×D1714yes—
1343C2×C4C24×D1712yes—
1344C2×C4C24×D1712yes—
1345C22—28no—
1346C22—22no—
1347C22—22no—
1348C22—22no—
1349C22—22no—
1350C22—22no—
1351C22—44no—
1352C22—174no—
1353C22—174no—
1354C22—348no—
1355C22—348no—
1356C22—342no—
1357C22—342no—
1358C22—342no—
1359C22—342no—
1360C22—342no—
1361C22—344no—
1362C22—344no—
1363C22—342no—
1364C22—344no—
1365C22—344no—
1366C22—344no—
1367C22—344no—
1368C22—342no—
1369C22—6816no—
1370C22—6816no—
1371C22—684no—
1372C22—688no—
1373C22—688no—
1374C22—13616no—
1375C22C2×#41×D1714yes—
1376C22C2×#41×D1712yes—
1377C22C2×#1058769612yes—
1378C22#1176364612yes—
1379C22C25×D1711yescharacteristic
1380C4—24no—
1381C4—24no—
1382C4—22no—
1383C4—22no—
1384C4—22no—
1385C4—24no—
1386C4—22no—
1387C4—24no—
1388C4—342no—
1389C4—342no—
1390C4—342no—
1391C4—342no—
1392C4—344no—
1393C4—342no—
1394C4—344no—
1395C4C2×#1058769614yes—
1396C2—24no—
1397C2—42no—
1398C2—344no—
1399C2—344no—
1400C2—682no—
1401C2—684no—
1402C2—684no—
1403C2#1454262414yesdirect product factor
1404C2C22×#41×D1711yescharacteristic
1405C2C22×#1058769611yescharacteristic
1406C2C2×#1176364611yescharacteristic
subgroupG/H
centerC23C24×D17
commutator, cosocleC22×C17C26
FrattiniC22C25×D17
FittingC2×C17×#552C2
socleC23×C17C25
hypercenterC2×#552D17
hypocenterC17C2×#3505
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C23 ◁ C2×#552

Complements

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

NH ≅ G/Ntype
1. #14542624C2direct (N × H)
2. C2×#11763512C2semidirect
3. C2×#11763512C2semidirect
4. C2×#11763510C2semidirect
5. C2×#11763503C2semidirect
6. C2×#11763494C2semidirect
7. C2×#11763483C2semidirect
8. C2×#11763482C2semidirect
9. C2×#11763471C2semidirect
10. C2×#11763469C2semidirect
11. C2×#11763455C2semidirect
12. C2×#11763450C2semidirect
13. C2×#11763407C2semidirect
14. C2×#11763398C2semidirect
15. C2×#11763370C2semidirect
16. C2×#11763346C2semidirect
17. C2×#11763344C2semidirect
18. C2×#11763322C2semidirect
19. C2×#11763321C2semidirect
20. C2×C22⋊Q8×D17C2semidirect
21. C22×#10587581C2semidirect
22. C2×#11763283C2semidirect
23. C2×C4×D4×D17C2semidirect
24. C2×C17×#552C2semidirect
25. C22×#63256C22semidirect
26. C22×#63252C22semidirect
27. C22×Q8×D17C22semidirect
29. C23×D68C22semidirect
32. C23×C4×D17C22semidirect
33. #11763512C22semidirect
34. #11763512C22semidirect
35. #11763510C22semidirect
36. #11763503C22semidirect
37. #11763494C22semidirect
38. #11763483C22semidirect
39. #11763482C22semidirect
40. #11763471C22semidirect
41. #11763469C22semidirect
42. #11763455C22semidirect
43. #11763450C22semidirect
44. #11763407C22semidirect
45. #11763398C22semidirect
46. #11763370C22semidirect
47. #11763346C22semidirect
48. #11763344C22semidirect
49. C2×#10587584C22semidirect
50. C2×#10587584C22semidirect
51. C2×#10587584C22semidirect
52. C2×#10587584C22semidirect
53. C2×#10587562C22semidirect
54. C2×#10587576C22semidirect
55. C2×#10587575C22semidirect
56. C2×#10587633C22semidirect
57. C2×#10587561C22semidirect
58. C2×#10587561C22semidirect
59. C2×#10587571C22semidirect
60. #11763322C22semidirect
61. #11763321C22semidirect
62. C2×#10587580C22semidirect
63. C2×#10587580C22semidirect
64. C2×#10587580C22semidirect
65. C2×#10587580C22semidirect
66. C2×#10587580C22semidirect
67. C2×#10587580C22semidirect
68. C2×#10587572C22semidirect
70. C2×#10587569C22semidirect
71. C2×#10587583C22semidirect
72. C2×#10587583C22semidirect
73. C2×#10587583C22semidirect
74. C2×#10587610C22semidirect
75. C2×#10587582C22semidirect
76. C2×#10587582C22semidirect
77. C2×#10587564C22semidirect
78. C2×#10587632C22semidirect
79. C22⋊Q8×D17C22semidirect
83. C2×#10587581C22semidirect
84. C2×#10587581C22semidirect
85. C2×#10587581C22semidirect
86. C2×#10587581C22semidirect
87. C2×#10587581C22semidirect
88. C2×#10587581C22semidirect
89. C2×#10587581C22semidirect
90. C2×#10587581C22semidirect
91. C2×#10587616C22semidirect
92. C2×#10587570C22semidirect
93. C2×#10587570C22semidirect
94. C2×#10587570C22semidirect
96. C2×#10587568C22semidirect
97. C2×#10587568C22semidirect
99. #11763283C22semidirect
100. C2×#10587573C22semidirect
101. C2×C4×D68C22semidirect
102. C2×C4×D68C22semidirect
103. C2×C4×D68C22semidirect
104. C2×C4×D68C22semidirect
105. C2×C4×D68C22semidirect
106. C2×C4×D68C22semidirect
107. C2×C4×D68C22semidirect
109. C2×#10587579C22semidirect
110. C2×#10587579C22semidirect
111. C2×#10587579C22semidirect
112. C2×#10587579C22semidirect
113. C2×#10587579C22semidirect
114. C2×#10587579C22semidirect
116. C2×C4×C22⋊D17C22semidirect
118. C2×#10587567C22semidirect
119. C2×#10587567C22semidirect
120. C4×D4×D17C22semidirect
121. C2×#10587612C22semidirect
122. C2×#10587578C22semidirect
123. C2×#10587578C22semidirect
124. C2×#10587558C22semidirect
125. C2×C4⋊C4×D17C22semidirect
126. C2×C4⋊C4×D17C22semidirect
127. C2×C4⋊C4×D17C22semidirect
128. C22×#63227C22semidirect
131. C2×C22⋊C4×D17C22semidirect
132. C2×C22⋊C4×D17C22semidirect
133. C2×C22⋊C4×D17C22semidirect
134. C2×C42×D17C22semidirect
135. C17×#552C22semidirect
136. C2×C17×#126C22semidirect
137. C2×C17×#125C22semidirect
138. C2×C17×#125C22semidirect
140. C2×C17×C22⋊Q8C22semidirect
141. C2×C17×C22⋊Q8C22semidirect
142. C2×C4×Q8×C17C22semidirect
144. C2×C17×#117C22semidirect
145. C2×C17×#117C22semidirect
146. C22×C4⋊C4×C17C22semidirect
162. C2×#63256C23semidirect
164. C2×Q8×D17C23semidirect
168. C2×#63252C23semidirect
182. C22×D68C23semidirect
201. C22×C4×D17C23semidirect
204. C17×#126C23semidirect
205. C17×#125C23semidirect
206. C17×#125C23semidirect
208. C17×C22⋊Q8C23semidirect
209. C17×C22⋊Q8C23semidirect
210. C4×Q8×C17C23semidirect
212. C17×#117C23semidirect
213. C17×#117C23semidirect
224. C2×C4⋊C4×C17C23semidirect
236. #10587633C23semidirect
237. #10587632C23semidirect
240. #10587616C23semidirect
243. C4×C22⋊D17C23semidirect
264. C2×#63227C23semidirect
265. #10587612C23semidirect
271. #10587610C23semidirect
284. #10587584C23semidirect
285. #10587584C23semidirect
286. #10587584C23semidirect
287. #10587584C23semidirect
288. #10587583C23semidirect
289. #10587583C23semidirect
290. #10587583C23semidirect
291. #10587582C23semidirect
292. #10587582C23semidirect
296. #10587581C23semidirect
297. #10587581C23semidirect
298. #10587581C23semidirect
299. #10587581C23semidirect
300. #10587581C23semidirect
301. #10587581C23semidirect
302. #10587581C23semidirect
303. #10587580C23semidirect
304. #10587580C23semidirect
305. #10587580C23semidirect
306. #10587580C23semidirect
307. #10587580C23semidirect
308. #10587580C23semidirect
309. #10587579C23semidirect
310. #10587579C23semidirect
311. #10587579C23semidirect
312. #10587579C23semidirect
313. #10587579C23semidirect
314. #10587579C23semidirect
315. #10587578C23semidirect
316. #10587578C23semidirect
317. C4⋊C4×D17C23semidirect
318. C4⋊C4×D17C23semidirect
319. C4⋊C4×D17C23semidirect
320. #10587576C23semidirect
321. #10587575C23semidirect
322. #10587573C23semidirect
323. #10587572C23semidirect
324. #10587571C23semidirect
325. #10587570C23semidirect
326. #10587570C23semidirect
327. #10587570C23semidirect
328. #10587569C23semidirect
330. #10587568C23semidirect
331. #10587568C23semidirect
333. #10587567C23semidirect
334. #10587567C23semidirect
337. C22⋊C4×D17C23semidirect
338. C22⋊C4×D17C23semidirect
339. C22⋊C4×D17C23semidirect
340. #10587564C23semidirect
341. #10587562C23semidirect
342. #10587561C23semidirect
343. #10587561C23semidirect
344. C4×D68C23semidirect
345. C4×D68C23semidirect
346. C4×D68C23semidirect
347. C4×D68C23semidirect
348. C4×D68C23semidirect
349. C4×D68C23semidirect
350. C4×D68C23semidirect
351. #10587558C23semidirect
352. C42×D17C23semidirect
363. C23×D17#41semidirect
566. C22×D17C2×#41semidirect
648. C2×#552D17semidirect
730. #552C2×D17semidirect
747. C2×#126C2×D17semidirect
750. C2×#125C2×D17semidirect
751. C2×#125C2×D17semidirect
777. C2×C22⋊Q8C2×D17semidirect
778. C2×C22⋊Q8C2×D17semidirect
800. C2×C4×Q8C2×D17semidirect
826. C2×#117C2×D17semidirect
827. C2×#117C2×D17semidirect
831. C22×C4⋊C4C2×D17semidirect
841. C2×C17#3505semidirect
912. #126C22×D17semidirect
915. #125C22×D17semidirect
916. #125C22×D17semidirect
939. C22⋊Q8C22×D17semidirect
940. C22⋊Q8C22×D17semidirect
960. C4×Q8C22×D17semidirect
985. #117C22×D17semidirect
986. #117C22×D17semidirect
1012. C2×C4⋊C4C22×D17semidirect
1056. C17C2×#3505semidirect
1403. C2#14542624direct (N × H)

Maximal subgroups

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

subgroupindex
#145426242
C2×#117635122
C2×#117635102
C2×#117635032
C2×#117634942
C2×#117634832
C2×#117634822
C2×#117634712
C2×#117634692
C2×#117634552
C2×#117634502
C2×#117634072
C2×#117633982
C2×#117633702
C2×#117633462
C2×#117633442
C2×#117633222
C2×#117633212
C2×C22⋊Q8×D172
C22×#105875812
C2×#117632832
C2×C4×D4×D172
C2×C17×#5522
C2×#350517