Finite Group Databasebeta

← C2×#14542938 #17941443

Subgroups — C2×#14542938 #17941443

Order 4352.

9542 conjugacy classes of subgroups.

The subgroup lattice has 1336 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#14542938C2132yesmaximal, direct product factor
2C2×#11763551C211yesmaximal, characteristic, complemented
3C2×#11763547C212yesmaximal, complemented
4C2×#11763546C211yesmaximal, characteristic, complemented
5C2×#11763489C211yesmaximal, characteristic, complemented
6C2×#11763483C212yesmaximal, complemented
7C2×#11763448C212yesmaximal, complemented
8C2×#11763447C212yesmaximal, complemented
9C2×#11763446C212yesmaximal, complemented
10C2×#11763444C211yesmaximal, characteristic, complemented
11C2×#11763441C212yesmaximal, complemented
12C2×#11763394C212yesmaximal, complemented
13C2×#11763393C212yesmaximal, complemented
14C2×#11763391C212yesmaximal, complemented
15C2×#11763372C212yesmaximal, complemented
16C2×#11763368C211yesmaximal, characteristic, complemented
17C2×#11763367C212yesmaximal, complemented
18C22×#10587623C211yesmaximal, characteristic, complemented
19C2×#120×D17C212yesmaximal, complemented
20C2×C17×#535C211yesmaximal, characteristic, complemented
21C25×D17C2211yescharacteristic, complemented
22C22×#63254C2212yescomplemented
23C23×C22⋊D17C2212yescomplemented
24C23×C22⋊D17C2211yescharacteristic, complemented
25C22×D4×D17C2212yescomplemented
26C22×D4×D17C2212yescomplemented
27C22×D4×D17C2212yescomplemented
28C22×D4×D17C2212yescomplemented
29#11763551C22116yescomplemented
30#11763547C22132yescomplemented
31#11763546C22116yescomplemented
32#11763489C22116yescomplemented
33#11763483C22132yescomplemented
34#11763448C22132yescomplemented
35#11763447C22132yescomplemented
36#11763446C22132yescomplemented
37#11763444C22116yescomplemented
38#11763441C22132yescomplemented
39#11763394C22132yescomplemented
40#11763393C22132yescomplemented
41#11763391C22132yescomplemented
42#11763372C22132yescomplemented
43#11763368C22116yescomplemented
44#11763367C22132yescomplemented
45C2×#10587626C2212yescomplemented
46C2×#10587584C2212yescomplemented
47C2×#10587562C2212yescomplemented
48C2×#10587565C2212yescomplemented
49C2×#10587565C2212yescomplemented
50C2×#10587633C2212yescomplemented
51C2×#10587561C2212yescomplemented
52C2×#10587622C2212yescomplemented
53C2×#10587571C2212yescomplemented
54C2×#10587571C2212yescomplemented
55C2×#10587580C2212yescomplemented
56C2×#10587580C2212yescomplemented
57C2×#10587572C2212yescomplemented
58C2×#10587615C2212yescomplemented
59C2×#10587615C2212yescomplemented
60C2×#10587569C2212yescomplemented
61C2×#10587569C2212yescomplemented
62C2×#10587621C2211yescharacteristic, complemented
63C2×#10587621C2211yescharacteristic, complemented
64C2×#10587621C2212yescomplemented
65C2×#10587582C2212yescomplemented
66C2×#10587564C2212yescomplemented
67C2×#10587632C2212yescomplemented
68C2×#10587616C2212yescomplemented
69C2×#10587570C2212yescomplemented
70C2×#10587570C2212yescomplemented
71C2×#10587625C2212yescomplemented
72C2×#10587625C2212yescomplemented
73C2×#10587625C2212yescomplemented
74C2×#10587625C2212yescomplemented
75C2×#10587625C2212yescomplemented
76C2×#10587625C2212yescomplemented
77C2×#10587625C2212yescomplemented
78C2×#10587625C2212yescomplemented
79C2×#10587624C2212yescomplemented
80C2×#10587624C2212yescomplemented
81C2×#10587568C2212yes—
82C2×#10587568C2212yescomplemented
83C2×#10587568C2212yescomplemented
84C2×#10587568C2212yescomplemented
85C2×#10587639C2212yescomplemented
86C2×#10587623C2211yescharacteristic
87C2×#10587623C2212yescomplemented
88C2×#10587623C2212yescomplemented
89C2×#10587623C2212yescomplemented
90C2×#10587623C2212yescomplemented
91C2×#10587623C2211yescharacteristic, complemented
92C2×#10587623C2211yescharacteristic, complemented
93C2×#10587623C2212yescomplemented
94C2×#10587623C2211yescharacteristic, complemented
95C2×#10587623C2211yescharacteristic, complemented
96C2×#10587623C2211yescharacteristic, complemented
97C2×#10587623C2212yescomplemented
98C2×#10587623C2212yescomplemented
99C2×#10587623C22116yescomplemented
100#120×D17C22132yescomplemented
101C2×C4×D68C2212yescomplemented
102C2×D4×Dic17C2212yescomplemented
103C2×C4×C22⋊D17C2212yescomplemented
104C2×#10587567C2212yescomplemented
105C2×#10587567C2212yescomplemented
106C2×#10587567C2212yescomplemented
107C2×#10587558C2212yescomplemented
108C22×C22⋊Dic17C2211yescharacteristic, complemented
109C22×C22⋊Dic17C2211yescharacteristic, complemented
110C22×#63227C2212yescomplemented
111C22×#63227C2212yescomplemented
112C2×C22⋊C4×D17C2212yescomplemented
113C2×C22⋊C4×D17C2212yescomplemented
114C2×C22⋊C4×D17C2212yescomplemented
115C22×#41×C17C2211yescharacteristic, complemented
116C23×D4×C17C2211yescharacteristic, complemented
117C17×#535C22116yescomplemented
118C2×C17×#127C2211yescharacteristic, complemented
119C2×C17×#127C2211yescharacteristic, complemented
120C2×C17×#124C2211yescharacteristic, complemented
121C2×C17×#124C2211yescharacteristic, complemented
122C2×C17×#121C2212yescomplemented
123C2×C17×#121C2212yescomplemented
124C2×C17×#120C2212yescomplemented
125C2×C17×#120C2212yescomplemented
126C2×C17×#117C2211yescharacteristic, complemented
127C25×C17C2311yescharacteristic
128C25×C17C2311yescharacteristic
129C24×D17—48no—
130C24×D17—44no—
131C24×D17C2311yescharacteristic
132C24×D17C2312yes—
133C24×D17C2312yes—
134C24×D17C2312yes—
135C24×D17C2311yescharacteristic
136C24×D17C2318yescomplemented
137C24×D17C2311yescharacteristic, complemented
138C2×#41×C17—44no—
139C2×#41×C17C2318yescomplemented
140C22×Q8×C17C2311yescharacteristic, complemented
141C22×D4×C17—44no—
142C22×D4×C17C2312yes—
143C22×D4×C17C2312yes—
144C22×D4×C17C2312yes—
145C22×D4×C17C2311yescharacteristic
146C22×D4×C17C2311yescharacteristic
147C22×D4×C17C2311yescharacteristic
148C22×D4×C17C2311yescharacteristic
149C22×D4×C17C2318yescomplemented
150C22×D4×C17C2312yescomplemented
151C22×D4×C17C2312yescomplemented
152C22×D4×C17C2311yescharacteristic, complemented
153C23×C4×C17C2311yescharacteristic
154C23×C4×C17C2312yescomplemented
155C22×C22⋊D17—48no—
156C22×C22⋊D17—44no—
157C22×C22⋊D17C2312yes—
158C22×C22⋊D17C2312yes—
159C22×C22⋊D17C2312yes—
160C22×C22⋊D17C2312yes—
161C22×C22⋊D17C2312yes—
162C22×C22⋊D17C2312yes—
163C22×C22⋊D17C2312yes—
164C22×C22⋊D17C2312yes—
165C22×C22⋊D17C2312yes—
166C22×C22⋊D17C2312yes—
167C22×C22⋊D17C23116yescomplemented
168C22×C22⋊D17C2312yescomplemented
169C22×C22⋊D17C2312yescomplemented
170C22×C22⋊D17C2318yescomplemented
171C23×Dic17C2312yes—
172C23×Dic17C2312yescomplemented
173C23×Dic17C2312yescomplemented
174C23×Dic17C2311yescharacteristic, complemented
175C2×#63254—48no—
176C2×#63254C23116yescomplemented
177C2×D4×D17—48no—
178C2×D4×D17—48no—
179C2×D4×D17—48no—
180C2×D4×D17—48no—
181C2×D4×D17C23116yescomplemented
182C2×D4×D17C23116yescomplemented
183C2×D4×D17C23116yescomplemented
184C2×D4×D17C23116yescomplemented
185C22×D68C2312yes—
186C22×D68C2312yes—
187C22×D68C2312yes—
188C22×C4×D17C2312yes—
189C22×C4×D17C2312yes—
190C22×C4×D17C2312yes—
191C22×C4×D17C2312yescomplemented
192C22×Dic34C2312yescomplemented
193C17×#127C2318yescomplemented
194C17×#127C2318yescomplemented
195C17×#124C2318yescomplemented
196C17×#124C2318yescomplemented
197C17×#121C23116yescomplemented
198C17×#121C23116yescomplemented
199C17×#120C23116yescomplemented
200C17×#120C23116yescomplemented
201C17×#117C2318yescomplemented
202C2×C4⋊C4×C17C2312yescomplemented
203C2×C22⋊C4×C17C2312yes—
204C2×C22⋊C4×C17C2312yes—
205C2×C22⋊C4×C17C2312yes—
206C2×C22⋊C4×C17C2312yescomplemented
207C2×C22⋊C4×C17C2312yescomplemented
208C2×C42×C17C2311yescharacteristic, complemented
209C2×C42×C17C2311yescharacteristic, complemented
210#10587639C23116yescomplemented
211C2×C22⋊Dic17C2312yes—
212C2×C22⋊Dic17C2312yes—
213C2×C22⋊Dic17C2312yes—
214C2×C22⋊Dic17C2311yescharacteristic
215C2×C22⋊Dic17C2312yes—
216C2×C22⋊Dic17C2311yescharacteristic
217C2×C22⋊Dic17C2318yescomplemented
218C2×C22⋊Dic17C2318yescomplemented
219C2×C22⋊Dic17C2311yescharacteristic, complemented
220C2×C22⋊Dic17C2311yescharacteristic, complemented
221C2×C22⋊Dic17C2312yescomplemented
222C2×C22⋊Dic17C2312yescomplemented
223#10587633C23116yescomplemented
224#10587632C23116yescomplemented
225#10587626C23116yescomplemented
226#10587625C23116yescomplemented
227#10587625C23116yescomplemented
228#10587625C23116yescomplemented
229#10587625C23116yescomplemented
230#10587625C23116yescomplemented
231#10587625C23116yescomplemented
232#10587625C23116yescomplemented
233#10587625C23116yescomplemented
234#10587624C23116yescomplemented
235#10587624C23116yescomplemented
236#10587623C2318yes—
237#10587623C23116yescomplemented
238#10587623C2318yescomplemented
239#10587623C2318yescomplemented
240#10587623C23116yescomplemented
241#10587623C23116yescomplemented
242#10587623C23116yescomplemented
243#10587623C23116yescomplemented
244#10587623C2318yescomplemented
245#10587623C2318yescomplemented
246#10587623C2318yescomplemented
247#10587623C23116yescomplemented
248#10587623C23116yescomplemented
249#10587622C23116yescomplemented
250#10587621C2318yescomplemented
251#10587621C23116yescomplemented
252#10587621C2318yescomplemented
253D4×Dic17C23116yescomplemented
254#10587616C23116yescomplemented
255#10587615C23116yescomplemented
256#10587615C23116yescomplemented
257C4×C22⋊D17C23116yescomplemented
258C2×#63227C2312yes—
259C2×#63227C2312yes—
260C2×#63227C2312yes—
261C2×#63227C2312yes—
262C2×#63227C2312yes—
263C2×#63227C2312yes—
264C2×#63227C2312yes—
265C2×#63227C2312yes—
266C2×#63227C2312yes—
267C2×#63227C2312yes—
268C2×#63227C23116yescomplemented
269C2×#63227C2312yescomplemented
270C2×#63227C2312yescomplemented
271C2×#63227C2312yescomplemented
272C2×#63227C2312yescomplemented
273C2×#63227C23116yescomplemented
274C2×C4⋊Dic17C2312yescomplemented
275C2×C4⋊Dic17C2312yescomplemented
276C2×#63225C2312yescomplemented
277C2×#63225C2312yescomplemented
278C2×#63225C2312yescomplemented
279C2×#63225C2312yescomplemented
280C2×#63225C2312yescomplemented
281C2×#63225C2312yescomplemented
282C2×C4×Dic17C2312yescomplemented
283C2×C4×Dic17C2312yescomplemented
284#10587584C23116yescomplemented
285#10587582C23116yescomplemented
286#10587580C23116yescomplemented
287#10587580C23116yescomplemented
288#10587572C23116yescomplemented
289#10587571C23116yescomplemented
290#10587571C23116yescomplemented
291#10587570C23116yescomplemented
292#10587570C23116yescomplemented
293#10587569C23116yescomplemented
294#10587569C23116yescomplemented
295#10587568C23116yes—
296#10587568C23116yescomplemented
297#10587568C23116yescomplemented
298#10587568C23116yescomplemented
299#10587567C23116yescomplemented
300#10587567C23116yescomplemented
301#10587567C23116yescomplemented
302C22⋊C4×D17C23116yescomplemented
303C22⋊C4×D17C23116yescomplemented
304C22⋊C4×D17C23116yescomplemented
305#10587565C23116yescomplemented
306#10587565C23116yescomplemented
307#10587564C23116yescomplemented
308#10587562C23116yescomplemented
309#10587561C23116yescomplemented
310C4×D68C23116yescomplemented
311#10587558C23116yescomplemented
312C24×C17—24no—
313C24×C17—24no—
314C24×C17—44no—
315C24×C17—44no—
316C24×C17C2411yescharacteristic
317C24×C17C2411yescharacteristic
318C24×C17C2412yes—
319C24×C17C2411yescharacteristic
320C24×C17C2411yescharacteristic
321C24×C17C2411yescharacteristic
322C24×C17C2414yes—
323C24×C17C2414yes—
324C23×D17—28no—
325C23×D17—28no—
326C23×D17—28no—
327C23×D17—28no—
328C23×D17—28no—
329C23×D17—432no—
330C23×D17—42no—
331C23×D17—44no—
332C23×D17—44no—
333C23×D17—44no—
334C23×D17—42no—
335C23×D17—44no—
336C23×D17—416no—
337C23×D17—44no—
338C23×D17—44no—
339C23×D17—44no—
340C23×D17—42no—
341C23×D17—464no—
342C23×D17C2412yes—
343C23×D17C2412yes—
344C23×D17C2414yes—
345C23×D17C2418yes—
346C23×D17C2412yes—
347C23×D17C2418yes—
348C23×D17C2418yes—
349C23×D17C2414yes—
350C23×D17C2414yescomplemented
351#41×C17—416no—
352C2×Q8×C17—42no—
353C2×Q8×C17C2414yescomplemented
354C2×D4×C17—28no—
355C2×D4×C17—44no—
356C2×D4×C17—44no—
357C2×D4×C17—44no—
358C2×D4×C17—44no—
359C2×D4×C17—42no—
360C2×D4×C17—42no—
361C2×D4×C17—42no—
362C2×D4×C17—42no—
363C2×D4×C17—416no—
364C2×D4×C17—42no—
365C2×D4×C17C2418yes—
366C2×D4×C17C2414yes—
367C2×D4×C17C2414yes—
368C2×D4×C17C2418yes—
369C2×D4×C17C2418yes—
370C2×D4×C17C2414yes—
371C2×D4×C17C2414yes—
372C2×D4×C17C2414yescomplemented
373C2×D4×C17C2418yescomplemented
374C2×D4×C17C2418yescomplemented
375C22×C4×C17—24no—
376C22×C4×C17—44no—
377C22×C4×C17C2412yes—
378C22×C4×C17C2412yes—
379C22×C4×C17C2412yes—
380C22×C4×C17C2411yescharacteristic
381C22×C4×C17C2411yescharacteristic
382C22×C4×C17C2414yes—
383C22×C4×C17C2418yescomplemented
384C2×C22⋊D17—28no—
385C2×C22⋊D17—28no—
386C2×C22⋊D17—28no—
387C2×C22⋊D17—28no—
388C2×C22⋊D17—44no—
389C2×C22⋊D17—44no—
390C2×C22⋊D17—44no—
391C2×C22⋊D17—44no—
392C2×C22⋊D17—44no—
393C2×C22⋊D17—44no—
394C2×C22⋊D17—44no—
395C2×C22⋊D17—44no—
396C2×C22⋊D17—432no—
397C2×C22⋊D17—416no—
398C2×C22⋊D17C2418yes—
399C2×C22⋊D17C2418yes—
400C2×C22⋊D17C2418yes—
401C2×C22⋊D17C2418yes—
402C2×C22⋊D17C2418yes—
403C2×C22⋊D17C2418yes—
404C2×C22⋊D17C2418yes—
405C2×C22⋊D17C2418yes—
406C2×C22⋊D17C2418yes—
407C2×C22⋊D17C2418yes—
408C2×C22⋊D17C2418yescomplemented
409C2×C22⋊D17C2418yescomplemented
410C22×Dic17—44no—
411C22×Dic17—44no—
412C22×Dic17—44no—
413C22×Dic17—42no—
414C22×Dic17C2412yes—
415C22×Dic17C2412yes—
416C22×Dic17C2412yes—
417C22×Dic17C2412yes—
418C22×Dic17C2412yes—
419C22×Dic17C2418yes—
420C22×Dic17C2418yescomplemented
421C22×Dic17C2418yescomplemented
422C22×Dic17C2414yescomplemented
423#63254—432no—
424D4×D17—432no—
425D4×D17—432no—
426D4×D17—432no—
427D4×D17—432no—
428C2×D68—28no—
429C2×D68—44no—
430C2×D68—44no—
431C2×D68C2418yes—
432C2×D68C2418yes—
433C2×D68C2418yes—
434C2×C4×D17—28no—
435C2×C4×D17—44no—
436C2×C4×D17—44no—
437C2×C4×D17—44no—
438C2×C4×D17C2418yes—
439C2×C4×D17C2418yes—
440C2×C4×D17C2418yes—
441C2×C4×D17C2418yescomplemented
442C2×Dic34—44no—
443C2×Dic34C2418yescomplemented
444C4⋊C4×C17C2418yescomplemented
445C22⋊C4×C17C2418yes—
446C22⋊C4×C17C2418yes—
447C22⋊C4×C17C2418yes—
448C22⋊C4×C17C2418yescomplemented
449C22⋊C4×C17C2418yescomplemented
450C42×C17C2414yescomplemented
451C42×C17C2414yescomplemented
452C22⋊Dic17C2418yes—
453C22⋊Dic17C2414yes—
454C22⋊Dic17C2418yes—
455C22⋊Dic17C2418yes—
456C22⋊Dic17C2418yes—
457C22⋊Dic17C2414yes—
458C22⋊Dic17C2414yescomplemented
459C22⋊Dic17C2414yescomplemented
460C22⋊Dic17C2418yescomplemented
461C22⋊Dic17C2418yescomplemented
462#63227C2418yes—
463#63227C2418yes—
464#63227C2418yes—
465#63227C2418yes—
466#63227C2418yes—
467#63227C2418yes—
468#63227C2418yes—
469#63227C2418yes—
470#63227C2418yes—
471#63227C2418yes—
472#63227C2418yescomplemented
473#63227C2418yescomplemented
474#63227C2418yescomplemented
475#63227C2418yescomplemented
476C4⋊Dic17C2418yescomplemented
477C4⋊Dic17C2418yescomplemented
478#63225C2418yescomplemented
479#63225C2418yescomplemented
480#63225C2418yescomplemented
481#63225C2418yescomplemented
482#63225C2418yescomplemented
483#63225C2418yescomplemented
484C4×Dic17C2418yescomplemented
485C4×Dic17C2418yescomplemented
486C2×#3532—171nomaximal, Sylow
487C23×C17—24no—
488C23×C17—24no—
489C23×C17—24no—
490C23×C17—22no—
491C23×C17—24no—
492C23×C17—24no—
493C23×C17—22no—
494C23×C17—24no—
495C23×C17—24no—
496C23×C17—24no—
497C23×C17—28no—
498C23×C17—22no—
499C23×C17—22no—
500C23×C17—28no—
501C23×C17—48no—
502C23×C17—48no—
503C23×C17—416no—
504C23×C17—88no—
505C23×C17H(5,𝔽2)14yes—
506C23×C17C2512yes—
507C23×C17C2512yes—
508C23×C17C2512yes—
509C23×C17C2514yes—
510C23×C17C2512yes—
511C23×C17C2512yes—
512C23×C17C2511yescharacteristic
513C22×D17—24no—
514C22×D17—24no—
515C22×D17—24no—
516C22×D17—24no—
517C22×D17—24no—
518C22×D17—24no—
519C22×D17—24no—
520C22×D17—216no—
521C22×D17—24no—
522C22×D17—216no—
523C22×D17—216no—
524C22×D17—216no—
525C22×D17—216no—
526C22×D17—44no—
527C22×D17—48no—
528C22×D17—48no—
529C22×D17—48no—
530C22×D17—44no—
531C22×D17—48no—
532C22×D17—416no—
533C22×D17—48no—
534C22×D17—48no—
535C22×D17—48no—
536C22×D17—44no—
537C22×D17—432no—
538C22×D17—432no—
539C22×D17—4128no—
540C22×D17—416no—
541C22×D17—816no—
542C22×D17—88no—
543C22×D17H(5,𝔽2)18yes—
544C22×D17C2514yes—
545C22×D17C2514yes—
546C22×D17C2514yes—
547Q8×C17—44no—
548D4×C17—216no—
549D4×C17—48no—
550D4×C17—48no—
551D4×C17—48no—
552D4×C17—48no—
553D4×C17—44no—
554D4×C17—44no—
555D4×C17—44no—
556D4×C17—44no—
557D4×C17—44no—
558C2×C4×C17—24no—
559C2×C4×C17—24no—
560C2×C4×C17—24no—
561C2×C4×C17—22no—
562C2×C4×C17—22no—
563C2×C4×C17—28no—
564C2×C4×C17—48no—
565C2×C4×C17C2512yes—
566C2×C4×C17C2514yes—
567C2×C4×C17C2514yes—
568C2×C4×C17C2514yes—
569C2×C4×C17C2512yes—
570C22⋊D17—216no—
571C22⋊D17—216no—
572C22⋊D17—216no—
573C22⋊D17—216no—
574C22⋊D17—48no—
575C22⋊D17—48no—
576C22⋊D17—48no—
577C22⋊D17—48no—
578C22⋊D17—48no—
579C22⋊D17—48no—
580C22⋊D17—48no—
581C22⋊D17—48no—
582C2×Dic17—24no—
583C2×Dic17—24no—
584C2×Dic17—24no—
585C2×Dic17—24no—
586C2×Dic17—24no—
587C2×Dic17—48no—
588C2×Dic17—48no—
589C2×Dic17—48no—
590C2×Dic17—44no—
591C2×Dic17C2514yes—
592C2×Dic17C2514yes—
593C2×Dic17C2514yes—
594C2×Dic17C2514yes—
595C2×Dic17C2514yes—
596D68—216no—
597D68—48no—
598D68—48no—
599C4×D17—216no—
600C4×D17—48no—
601C4×D17—48no—
602C4×D17—48no—
603Dic34—48no—
604#3532—1732no—
605C2×H(3,𝔽4)—171no—
606C2×#560—171no—
607C2×#560—172no—
608C2×#551—171no—
609C2×#551—172no—
610C2×#546—172no—
611C2×#546—172no—
612C2×#546—172no—
613C2×D42—171no—
614C2×D42—172no—
615C2×#538—172no—
616C2×#538—172no—
617C2×#538—172no—
618C2×#535—172no—
619C2×#535D1711yescharacteristic, complemented
620C2×#534—171no—
621C2×#534—172no—
622C22×#120—171no—
623C22×#120—172no—
624C22×C17—24no—
625C22×C17—28no—
626C22×C17—24no—
627C22×C17—24no—
628C22×C17—22no—
629C22×C17—24no—
630C22×C17—24no—
631C22×C17—22no—
632C22×C17—24no—
633C22×C17—24no—
634C22×C17—24no—
635C22×C17—22no—
636C22×C17—22no—
637C22×C17—416no—
638C22×C17—44no—
639C22×C17—44no—
640C22×C17—48no—
641C22×C17—44no—
642C22×C17—44no—
643C22×C17—88no—
644C22×C17C2×H(5,𝔽2)14yes—
645C22×C17C2×H(5,𝔽2)14yes—
646C22×C17C2×H(5,𝔽2)12yes—
647C22×C17C2611yescharacteristic
648C2×D17—24no—
649C2×D17—24no—
650C2×D17—216no—
651C2×D17—24no—
652C2×D17—24no—
653C2×D17—24no—
654C2×D17—24no—
655C2×D17—24no—
656C2×D17—24no—
657C2×D17—416no—
658C2×D17—432no—
659C2×D17—432no—
660C2×D17—416no—
661C2×D17—48no—
662C2×D17—48no—
663C2×D17—816no—
664C2×D17—88no—
665C2×D17C2×H(5,𝔽2)18yes—
666C4×C17—24no—
667C4×C17—24no—
668C4×C17—24no—
669C4×C17—22no—
670C4×C17—22no—
671Dic17—24no—
672Dic17—24no—
673Dic17—24no—
674Dic17—24no—
675Dic17—24no—
676C26—171no—
677C22×#41—172no—
678C22×#41C2×D1711yescharacteristic, complemented
679C23×D4—172no—
680C23×D4—171no—
681C23×D4—172no—
682C23×D4—172no—
683C23×D4—172no—
684C23×D4—172no—
685C23×D4C2×D1711yescharacteristic, complemented
686H(3,𝔽4)—1716no—
687#560—1716no—
688#560—1732no—
689#551—1716no—
690#551—1732no—
691#546—1732no—
692#546—1732no—
693#546—1732no—
694D42—1716no—
695D42—1732no—
696#538—1732no—
697#538—1732no—
698#538—1732no—
699#535—1732no—
700#535C2×D17116yescomplemented
701#534—1716no—
702#534—1732no—
703C2×#127—172no—
704C2×#127C2×D1711yescharacteristic, complemented
705C2×#127C2×D1711yescharacteristic, complemented
706C2×#126—172no—
707C2×#126—172no—
708C2×#126—172no—
709C2×#126—172no—
710C2×#124—172no—
711C2×#124—172no—
712C2×#124—172no—
713C2×#124—172no—
714C2×#124—172no—
715C2×#124C2×D1711yescharacteristic, complemented
716C2×#124C2×D1711yescharacteristic, complemented
717C2×#123—171no—
718C2×#123—171no—
719C2×#123—172no—
720C2×#123—172no—
721C2×#123—172no—
722C2×#123—172no—
723C2×#123—172no—
724C2×#123—172no—
725C2×#123—172no—
726C2×#123—172no—
727C2×C22⋊Q8—172no—
728C2×C22⋊Q8—172no—
729C2×C22⋊Q8—172no—
730C2×#121—172no—
731C2×#121—172no—
732C2×#121—172no—
733C2×#121—172no—
734C2×#121—172no—
735C2×#121—172no—
736C2×#121—172no—
737C2×#121—172no—
738C2×#121—172no—
739C2×#121—172no—
740C2×#121—172no—
741C2×#121—172no—
742C2×#121—172no—
743C2×#121C2×D1712yescomplemented
744C2×#121C2×D1712yescomplemented
745C2×#120—172no—
746C2×#120—171no—
747C2×#120—172no—
748C2×#120—172no—
749C2×#120—172no—
750C2×#120—172no—
751C2×#120—171no—
752C2×#120—171no—
753C2×#120—172no—
754C2×#120—171no—
755C2×#120—171no—
756C2×#120—171no—
757C2×#120—1716no—
758C2×#120—172no—
759C2×#120—172no—
760C2×#120—1732no—
761C2×#120—172no—
762C2×#120—172no—
763C2×#120—172no—
764C2×#120—172no—
765C2×#120C2×D1712yescomplemented
766C2×#120C2×D1712yescomplemented
767C2×C4×D4—172no—
768C2×C4×D4—172no—
769C2×C4×D4—172no—
770C2×C4×D4—172no—
771C2×C4×D4—172no—
772C2×C4×D4—172no—
773C2×#117—172no—
774C2×#117C2×D1711yescharacteristic, complemented
775C22×C22⋊C4—171no—
776C22×C22⋊C4—171no—
777C22×C22⋊C4—172no—
778C22×C22⋊C4—172no—
779C22×C22⋊C4—172no—
780C22×C22⋊C4—172no—
781C22×C22⋊C4—172no—
782C2×C17—24no—
783C2×C17—42no—
784C2×C17—42no—
785C2×C17—44no—
786C2×C17—42no—
787C2×C17—42no—
788C2×C17#353214yescomplemented
789C2×C17C22×H(5,𝔽2)12yes—
790C2×C17C22×H(5,𝔽2)11yescharacteristic
791D17—28no—
792D17—44no—
793D17—44no—
794C25—171no—
795C25—172no—
796C25—172no—
797C25—172no—
798C25—171no—
799C25—178no—
800C25—171no—
801C25—684no—
802C25—688no—
803C25C22×D1711yescharacteristic
804C25C22×D1711yescharacteristic
805C2×#41—44no—
806C2×#41—1716no—
807C2×#41—688no—
808C2×#41C22×D1718yescomplemented
809C22×Q8—172no—
810C22×Q8C22×D1711yescharacteristic, complemented
811C22×D4—44no—
812C22×D4—172no—
813C22×D4—172no—
814C22×D4—172no—
815C22×D4—172no—
816C22×D4—172no—
817C22×D4—172no—
818C22×D4—172no—
819C22×D4—172no—
820C22×D4—172no—
821C22×D4—172no—
822C22×D4—1716no—
823C22×D4—172no—
824C22×D4—172no—
825C22×D4—178no—
826C22×D4—1716no—
827C22×D4—1716no—
828C22×D4—1716no—
829C22×D4—1716no—
830C22×D4—172no—
831C22×D4—172no—
832C22×D4—172no—
833C22×D4—688no—
834C22×D4—688no—
835C22×D4—688no—
836C22×D4—688no—
837C22×D4—684no—
838C22×D4—688no—
839C22×D4C22×D1712yes—
840C22×D4C22×D1711yescharacteristic
841C22×D4C22×D1711yescharacteristic
842C22×D4C22×D1711yescharacteristic
843C22×D4C22×D1711yescharacteristic
844C22×D4C22×D1712yes—
845C22×D4C22×D1712yes—
846C22×D4C22×D1718yescomplemented
847C22×D4C22×D1711yescharacteristic, complemented
848C22×D4C22×D1712yescomplemented
849C22×D4C22×D1712yescomplemented
850C23×C4—172no—
851C23×C4—172no—
852C23×C4—172no—
853C23×C4—171no—
854C23×C4—172no—
855C23×C4—172no—
856C23×C4—172no—
857C23×C4—172no—
858C23×C4C22×D1711yescharacteristic
859C23×C4C22×D1712yescomplemented
860#127—1716no—
861#127C22×D1718yescomplemented
862#127C22×D1718yescomplemented
863#126—1716no—
864#126—1716no—
865#126—1716no—
866#126—1716no—
867#124—1716no—
868#124—1716no—
869#124—1716no—
870#124—1716no—
871#124—1716no—
872#124C22×D1718yescomplemented
873#124C22×D1718yescomplemented
874#123—178no—
875#123—178no—
876#123—1716no—
877#123—1716no—
878#123—1716no—
879#123—1716no—
880#123—1716no—
881#123—1716no—
882#123—1716no—
883#123—1716no—
884C22⋊Q8—1716no—
885C22⋊Q8—1716no—
886C22⋊Q8—1716no—
887#121—1716no—
888#121—1716no—
889#121—1716no—
890#121—1716no—
891#121—1716no—
892#121—1716no—
893#121—1716no—
894#121—1716no—
895#121—1716no—
896#121—1716no—
897#121—1716no—
898#121—1716no—
899#121—1716no—
900#121C22×D17116yescomplemented
901#121C22×D17116yescomplemented
902#120—1716no—
903#120—1716no—
904#120—1716no—
905#120—1716no—
906#120—178no—
907#120—1716no—
908#120—178no—
909#120—178no—
910#120—1716no—
911#120—178no—
912#120—178no—
913#120—178no—
914#120—1716no—
915#120—1716no—
916#120—1716no—
917#120—1716no—
918#120—1716no—
919#120—1716no—
920#120C22×D17116yescomplemented
921#120C22×D17116yescomplemented
922C4×D4—1716no—
923C4×D4—1716no—
924C4×D4—1716no—
925C4×D4—1716no—
926C4×D4—1716no—
927C4×D4—1716no—
928#117—1716no—
929#117C22×D1718yescomplemented
930C2×C4⋊C4—172no—
931C2×C4⋊C4—172no—
932C2×C4⋊C4—172no—
933C2×C4⋊C4—172no—
934C2×C4⋊C4—172no—
935C2×C4⋊C4—172no—
936C2×C4⋊C4—172no—
937C2×C4⋊C4—172no—
938C2×C4⋊C4C22×D1712yescomplemented
939C2×C22⋊C4—172no—
940C2×C22⋊C4—171no—
941C2×C22⋊C4—172no—
942C2×C22⋊C4—172no—
943C2×C22⋊C4—172no—
944C2×C22⋊C4—171no—
945C2×C22⋊C4—178no—
946C2×C22⋊C4—171no—
947C2×C22⋊C4—171no—
948C2×C22⋊C4—178no—
949C2×C22⋊C4—172no—
950C2×C22⋊C4—172no—
951C2×C22⋊C4—172no—
952C2×C22⋊C4—172no—
953C2×C22⋊C4—172no—
954C2×C22⋊C4—172no—
955C2×C22⋊C4—172no—
956C2×C22⋊C4—172no—
957C2×C22⋊C4—172no—
958C2×C22⋊C4—172no—
959C2×C22⋊C4—172no—
960C2×C22⋊C4—172no—
961C2×C22⋊C4—1716no—
962C2×C22⋊C4—172no—
963C2×C22⋊C4—172no—
964C2×C22⋊C4—172no—
965C2×C22⋊C4—172no—
966C2×C22⋊C4—1716no—
967C2×C22⋊C4—1716no—
968C2×C22⋊C4—1716no—
969C2×C22⋊C4—1716no—
970C2×C22⋊C4C22×D1712yes—
971C2×C22⋊C4C22×D1712yes—
972C2×C22⋊C4C22×D1712yes—
973C2×C22⋊C4C22×D1712yescomplemented
974C2×C22⋊C4C22×D1712yescomplemented
975C2×C42—172no—
976C2×C42—172no—
977C2×C42C22×D1711yescharacteristic, complemented
978C2×C42C22×D1711yescharacteristic, complemented
979C17C2×#353211yescharacteristic, complemented, Sylow
980C24—24no—
981C24—24no—
982C24—44no—
983C24—44no—
984C24—172no—
985C24—172no—
986C24—172no—
987C24—174no—
988C24—178no—
989C24—178no—
990C24—178no—
991C24—174no—
992C24—174no—
993C24—348no—
994C24—348no—
995C24—348no—
996C24—348no—
997C24—348no—
998C24—684no—
999C24—684no—
1000C24—684no—
1001C24—682no—
1002C24—684no—
1003C24—682no—
1004C24—6816no—
1005C24—684no—
1006C24—684no—
1007C24—684no—
1008C24—682no—
1009C24—6832no—
1010C24—6864no—
1011C24C23×D1711yescharacteristic
1012C24C23×D1711yescharacteristic
1013C24C23×D1711yescharacteristic
1014C24C23×D1712yes—
1015C24C23×D1711yescharacteristic
1016C24C23×D1711yescharacteristic
1017C24C23×D1714yes—
1018C24C23×D1714yes—
1019#41—416no—
1020#41—6832no—
1021C2×Q8—42no—
1022C2×Q8—178no—
1023C2×Q8—684no—
1024C2×Q8C23×D1714yescomplemented
1025C2×D4—28no—
1026C2×D4—42no—
1027C2×D4—42no—
1028C2×D4—42no—
1029C2×D4—42no—
1030C2×D4—416no—
1031C2×D4—44no—
1032C2×D4—44no—
1033C2×D4—44no—
1034C2×D4—42no—
1035C2×D4—44no—
1036C2×D4—178no—
1037C2×D4—178no—
1038C2×D4—178no—
1039C2×D4—178no—
1040C2×D4—178no—
1041C2×D4—178no—
1042C2×D4—178no—
1043C2×D4—178no—
1044C2×D4—178no—
1045C2×D4—178no—
1046C2×D4—178no—
1047C2×D4—178no—
1048C2×D4—178no—
1049C2×D4—178no—
1050C2×D4—178no—
1051C2×D4—348no—
1052C2×D4—348no—
1053C2×D4—348no—
1054C2×D4—348no—
1055C2×D4—348no—
1056C2×D4—684no—
1057C2×D4—684no—
1058C2×D4—6832no—
1059C2×D4—684no—
1060C2×D4—684no—
1061C2×D4—684no—
1062C2×D4—684no—
1063C2×D4—684no—
1064C2×D4—684no—
1065C2×D4—684no—
1066C2×D4—684no—
1067C2×D4—6832no—
1068C2×D4—6832no—
1069C2×D4—6832no—
1070C2×D4—6816no—
1071C2×D4—6832no—
1072C2×D4C23×D1718yes—
1073C2×D4C23×D1714yes—
1074C2×D4C23×D1714yes—
1075C2×D4C23×D1714yes—
1076C2×D4C23×D1714yes—
1077C2×D4C23×D1718yes—
1078C2×D4C23×D1718yes—
1079C2×D4C23×D1714yescomplemented
1080C2×D4C23×D1718yescomplemented
1081C2×D4C23×D1718yescomplemented
1082C22×C4—24no—
1083C22×C4—44no—
1084C22×C4—172no—
1085C22×C4—172no—
1086C22×C4—172no—
1087C22×C4—172no—
1088C22×C4—172no—
1089C22×C4—178no—
1090C22×C4—178no—
1091C22×C4—178no—
1092C22×C4—174no—
1093C22×C4—178no—
1094C22×C4—178no—
1095C22×C4—178no—
1096C22×C4—178no—
1097C22×C4—348no—
1098C22×C4—684no—
1099C22×C4—684no—
1100C22×C4—684no—
1101C22×C4—684no—
1102C22×C4—682no—
1103C22×C4—684no—
1104C22×C4—684no—
1105C22×C4C23×D1714yes—
1106C22×C4C23×D1712yes—
1107C22×C4C23×D1712yes—
1108C22×C4C23×D1711yescharacteristic
1109C22×C4C23×D1712yes—
1110C22×C4C23×D1711yescharacteristic
1111C22×C4C23×D1718yescomplemented
1112C4⋊C4—178no—
1113C4⋊C4—178no—
1114C4⋊C4—178no—
1115C4⋊C4—178no—
1116C4⋊C4—178no—
1117C4⋊C4—178no—
1118C4⋊C4—178no—
1119C4⋊C4—178no—
1120C4⋊C4C23×D1718yescomplemented
1121C22⋊C4—178no—
1122C22⋊C4—174no—
1123C22⋊C4—178no—
1124C22⋊C4—178no—
1125C22⋊C4—178no—
1126C22⋊C4—174no—
1127C22⋊C4—174no—
1128C22⋊C4—174no—
1129C22⋊C4—178no—
1130C22⋊C4—178no—
1131C22⋊C4—178no—
1132C22⋊C4—178no—
1133C22⋊C4—178no—
1134C22⋊C4—178no—
1135C22⋊C4—178no—
1136C22⋊C4—178no—
1137C22⋊C4—178no—
1138C22⋊C4—178no—
1139C22⋊C4—178no—
1140C22⋊C4—178no—
1141C22⋊C4—178no—
1142C22⋊C4—178no—
1143C22⋊C4—178no—
1144C22⋊C4—178no—
1145C22⋊C4C23×D1718yes—
1146C22⋊C4C23×D1718yes—
1147C22⋊C4C23×D1718yes—
1148C22⋊C4C23×D1718yescomplemented
1149C22⋊C4C23×D1718yescomplemented
1150C42—178no—
1151C42—178no—
1152C42C23×D1714yescomplemented
1153C42C23×D1714yescomplemented
1154C23—24no—
1155C23—24no—
1156C23—24no—
1157C23—24no—
1158C23—24no—
1159C23—24no—
1160C23—24no—
1161C23—24no—
1162C23—22no—
1163C23—22no—
1164C23—28no—
1165C23—22no—
1166C23—22no—
1167C23—28no—
1168C23—48no—
1169C23—48no—
1170C23—416no—
1171C23—88no—
1172C23—178no—
1173C23—174no—
1174C23—174no—
1175C23—174no—
1176C23—3416no—
1177C23—3416no—
1178C23—3416no—
1179C23—3416no—
1180C23—344no—
1181C23—344no—
1182C23—344no—
1183C23—344no—
1184C23—344no—
1185C23—344no—
1186C23—344no—
1187C23—3416no—
1188C23—344no—
1189C23—688no—
1190C23—688no—
1191C23—688no—
1192C23—684no—
1193C23—688no—
1194C23—684no—
1195C23—688no—
1196C23—688no—
1197C23—688no—
1198C23—684no—
1199C23—6832no—
1200C23—6816no—
1201C23—6832no—
1202C23—68128no—
1203C23—6816no—
1204C23—13616no—
1205C23—1368no—
1206C23#1058769114yes—
1207C23C24×D1712yes—
1208C23C24×D1712yes—
1209C23C24×D1712yes—
1210C23C24×D1714yes—
1211C23C24×D1712yes—
1212C23C24×D1712yes—
1213C23C24×D1711yescharacteristic
1214Q8—44no—
1215Q8—688no—
1216D4—216no—
1217D4—44no—
1218D4—44no—
1219D4—44no—
1220D4—44no—
1221D4—48no—
1222D4—48no—
1223D4—48no—
1224D4—44no—
1225D4—48no—
1226D4—3416no—
1227D4—3416no—
1228D4—3416no—
1229D4—3416no—
1230D4—3416no—
1231D4—688no—
1232D4—688no—
1233D4—688no—
1234D4—688no—
1235D4—688no—
1236D4—688no—
1237D4—688no—
1238D4—688no—
1239D4—688no—
1240D4—688no—
1241C2×C4—24no—
1242C2×C4—24no—
1243C2×C4—22no—
1244C2×C4—22no—
1245C2×C4—28no—
1246C2×C4—24no—
1247C2×C4—48no—
1248C2×C4—174no—
1249C2×C4—174no—
1250C2×C4—174no—
1251C2×C4—174no—
1252C2×C4—174no—
1253C2×C4—3416no—
1254C2×C4—344no—
1255C2×C4—344no—
1256C2×C4—344no—
1257C2×C4—344no—
1258C2×C4—344no—
1259C2×C4—688no—
1260C2×C4—688no—
1261C2×C4—688no—
1262C2×C4—688no—
1263C2×C4—684no—
1264C2×C4—688no—
1265C2×C4—688no—
1266C2×C4C24×D1714yes—
1267C2×C4C24×D1714yes—
1268C2×C4C24×D1712yes—
1269C2×C4C24×D1714yes—
1270C2×C4C24×D1712yes—
1271C22—28no—
1272C22—24no—
1273C22—24no—
1274C22—24no—
1275C22—24no—
1276C22—24no—
1277C22—24no—
1278C22—24no—
1279C22—24no—
1280C22—22no—
1281C22—22no—
1282C22—22no—
1283C22—22no—
1284C22—416no—
1285C22—44no—
1286C22—44no—
1287C22—44no—
1288C22—44no—
1289C22—48no—
1290C22—88no—
1291C22—178no—
1292C22—3416no—
1293C22—344no—
1294C22—344no—
1295C22—344no—
1296C22—344no—
1297C22—344no—
1298C22—344no—
1299C22—344no—
1300C22—344no—
1301C22—6832no—
1302C22—6816no—
1303C22—6832no—
1304C22—6816no—
1305C22—688no—
1306C22—688no—
1307C22—13616no—
1308C22—1368no—
1309C22H(5,𝔽2)×D1714yes—
1310C22C2×#1058769114yes—
1311C22C2×#1058769112yes—
1312C22C25×D1711yescharacteristic
1313C4—24no—
1314C4—24no—
1315C4—22no—
1316C4—22no—
1317C4—24no—
1318C4—344no—
1319C4—344no—
1320C4—344no—
1321C4—344no—
1322C4—344no—
1323C2—24no—
1324C2—42no—
1325C2—42no—
1326C2—42no—
1327C2—42no—
1328C2—44no—
1329C2—348no—
1330C2—684no—
1331C2—684no—
1332C2#1454293814yesdirect product factor
1333C2C2×H(5,𝔽2)×D1712yes—
1334C2C22×#1058769111yescharacteristic
subgroupG/H
centerC23C24×D17
commutator, cosocleC22×C17C26
FrattiniC22C25×D17
FittingC2×C17×#535C2
socleC23×C17C25
hypercenterC2×#535D17
hypocenterC17C2×#3532
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C23 ◁ C2×#535

Complements

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

NH ≅ G/Ntype
1. #14542938C2direct (N × H)
2. C2×#11763551C2semidirect
3. C2×#11763547C2semidirect
4. C2×#11763546C2semidirect
5. C2×#11763489C2semidirect
6. C2×#11763483C2semidirect
7. C2×#11763448C2semidirect
8. C2×#11763447C2semidirect
9. C2×#11763446C2semidirect
10. C2×#11763444C2semidirect
11. C2×#11763441C2semidirect
12. C2×#11763394C2semidirect
13. C2×#11763393C2semidirect
14. C2×#11763391C2semidirect
15. C2×#11763372C2semidirect
16. C2×#11763368C2semidirect
17. C2×#11763367C2semidirect
18. C22×#10587623C2semidirect
19. C2×#120×D17C2semidirect
20. C2×C17×#535C2semidirect
21. C25×D17C22semidirect
22. C22×#63254C22semidirect
23. C23×C22⋊D17C22semidirect
24. C23×C22⋊D17C22semidirect
25. C22×D4×D17C22semidirect
26. C22×D4×D17C22semidirect
27. C22×D4×D17C22semidirect
28. C22×D4×D17C22semidirect
29. #11763551C22semidirect
30. #11763547C22semidirect
31. #11763546C22semidirect
32. #11763489C22semidirect
33. #11763483C22semidirect
34. #11763448C22semidirect
35. #11763447C22semidirect
36. #11763446C22semidirect
37. #11763444C22semidirect
38. #11763441C22semidirect
39. #11763394C22semidirect
40. #11763393C22semidirect
41. #11763391C22semidirect
42. #11763372C22semidirect
43. #11763368C22semidirect
44. #11763367C22semidirect
45. C2×#10587626C22semidirect
46. C2×#10587584C22semidirect
47. C2×#10587562C22semidirect
48. C2×#10587565C22semidirect
49. C2×#10587565C22semidirect
50. C2×#10587633C22semidirect
51. C2×#10587561C22semidirect
52. C2×#10587622C22semidirect
53. C2×#10587571C22semidirect
54. C2×#10587571C22semidirect
55. C2×#10587580C22semidirect
56. C2×#10587580C22semidirect
57. C2×#10587572C22semidirect
58. C2×#10587615C22semidirect
59. C2×#10587615C22semidirect
60. C2×#10587569C22semidirect
61. C2×#10587569C22semidirect
62. C2×#10587621C22semidirect
63. C2×#10587621C22semidirect
64. C2×#10587621C22semidirect
65. C2×#10587582C22semidirect
66. C2×#10587564C22semidirect
67. C2×#10587632C22semidirect
68. C2×#10587616C22semidirect
69. C2×#10587570C22semidirect
70. C2×#10587570C22semidirect
71. C2×#10587625C22semidirect
72. C2×#10587625C22semidirect
73. C2×#10587625C22semidirect
74. C2×#10587625C22semidirect
75. C2×#10587625C22semidirect
76. C2×#10587625C22semidirect
77. C2×#10587625C22semidirect
78. C2×#10587625C22semidirect
79. C2×#10587624C22semidirect
80. C2×#10587624C22semidirect
82. C2×#10587568C22semidirect
83. C2×#10587568C22semidirect
84. C2×#10587568C22semidirect
85. C2×#10587639C22semidirect
87. C2×#10587623C22semidirect
88. C2×#10587623C22semidirect
89. C2×#10587623C22semidirect
90. C2×#10587623C22semidirect
91. C2×#10587623C22semidirect
92. C2×#10587623C22semidirect
93. C2×#10587623C22semidirect
94. C2×#10587623C22semidirect
95. C2×#10587623C22semidirect
96. C2×#10587623C22semidirect
97. C2×#10587623C22semidirect
98. C2×#10587623C22semidirect
99. C2×#10587623C22semidirect
100. #120×D17C22semidirect
101. C2×C4×D68C22semidirect
102. C2×D4×Dic17C22semidirect
103. C2×C4×C22⋊D17C22semidirect
104. C2×#10587567C22semidirect
105. C2×#10587567C22semidirect
106. C2×#10587567C22semidirect
107. C2×#10587558C22semidirect
108. C22×C22⋊Dic17C22semidirect
109. C22×C22⋊Dic17C22semidirect
110. C22×#63227C22semidirect
111. C22×#63227C22semidirect
112. C2×C22⋊C4×D17C22semidirect
113. C2×C22⋊C4×D17C22semidirect
114. C2×C22⋊C4×D17C22semidirect
115. C22×#41×C17C22semidirect
116. C23×D4×C17C22semidirect
117. C17×#535C22semidirect
118. C2×C17×#127C22semidirect
119. C2×C17×#127C22semidirect
120. C2×C17×#124C22semidirect
121. C2×C17×#124C22semidirect
122. C2×C17×#121C22semidirect
123. C2×C17×#121C22semidirect
124. C2×C17×#120C22semidirect
125. C2×C17×#120C22semidirect
126. C2×C17×#117C22semidirect
136. C24×D17C23semidirect
137. C24×D17C23semidirect
139. C2×#41×C17C23semidirect
140. C22×Q8×C17C23semidirect
149. C22×D4×C17C23semidirect
150. C22×D4×C17C23semidirect
151. C22×D4×C17C23semidirect
152. C22×D4×C17C23semidirect
154. C23×C4×C17C23semidirect
167. C22×C22⋊D17C23semidirect
168. C22×C22⋊D17C23semidirect
169. C22×C22⋊D17C23semidirect
170. C22×C22⋊D17C23semidirect
172. C23×Dic17C23semidirect
173. C23×Dic17C23semidirect
174. C23×Dic17C23semidirect
176. C2×#63254C23semidirect
181. C2×D4×D17C23semidirect
182. C2×D4×D17C23semidirect
183. C2×D4×D17C23semidirect
184. C2×D4×D17C23semidirect
191. C22×C4×D17C23semidirect
192. C22×Dic34C23semidirect
193. C17×#127C23semidirect
194. C17×#127C23semidirect
195. C17×#124C23semidirect
196. C17×#124C23semidirect
197. C17×#121C23semidirect
198. C17×#121C23semidirect
199. C17×#120C23semidirect
200. C17×#120C23semidirect
201. C17×#117C23semidirect
202. C2×C4⋊C4×C17C23semidirect
206. C2×C22⋊C4×C17C23semidirect
207. C2×C22⋊C4×C17C23semidirect
208. C2×C42×C17C23semidirect
209. C2×C42×C17C23semidirect
210. #10587639C23semidirect
217. C2×C22⋊Dic17C23semidirect
218. C2×C22⋊Dic17C23semidirect
219. C2×C22⋊Dic17C23semidirect
220. C2×C22⋊Dic17C23semidirect
221. C2×C22⋊Dic17C23semidirect
222. C2×C22⋊Dic17C23semidirect
223. #10587633C23semidirect
224. #10587632C23semidirect
225. #10587626C23semidirect
226. #10587625C23semidirect
227. #10587625C23semidirect
228. #10587625C23semidirect
229. #10587625C23semidirect
230. #10587625C23semidirect
231. #10587625C23semidirect
232. #10587625C23semidirect
233. #10587625C23semidirect
234. #10587624C23semidirect
235. #10587624C23semidirect
237. #10587623C23semidirect
238. #10587623C23semidirect
239. #10587623C23semidirect
240. #10587623C23semidirect
241. #10587623C23semidirect
242. #10587623C23semidirect
243. #10587623C23semidirect
244. #10587623C23semidirect
245. #10587623C23semidirect
246. #10587623C23semidirect
247. #10587623C23semidirect
248. #10587623C23semidirect
249. #10587622C23semidirect
250. #10587621C23semidirect
251. #10587621C23semidirect
252. #10587621C23semidirect
253. D4×Dic17C23semidirect
254. #10587616C23semidirect
255. #10587615C23semidirect
256. #10587615C23semidirect
257. C4×C22⋊D17C23semidirect
268. C2×#63227C23semidirect
269. C2×#63227C23semidirect
270. C2×#63227C23semidirect
271. C2×#63227C23semidirect
272. C2×#63227C23semidirect
273. C2×#63227C23semidirect
274. C2×C4⋊Dic17C23semidirect
275. C2×C4⋊Dic17C23semidirect
276. C2×#63225C23semidirect
277. C2×#63225C23semidirect
278. C2×#63225C23semidirect
279. C2×#63225C23semidirect
280. C2×#63225C23semidirect
281. C2×#63225C23semidirect
282. C2×C4×Dic17C23semidirect
283. C2×C4×Dic17C23semidirect
284. #10587584C23semidirect
285. #10587582C23semidirect
286. #10587580C23semidirect
287. #10587580C23semidirect
288. #10587572C23semidirect
289. #10587571C23semidirect
290. #10587571C23semidirect
291. #10587570C23semidirect
292. #10587570C23semidirect
293. #10587569C23semidirect
294. #10587569C23semidirect
296. #10587568C23semidirect
297. #10587568C23semidirect
298. #10587568C23semidirect
299. #10587567C23semidirect
300. #10587567C23semidirect
301. #10587567C23semidirect
302. C22⋊C4×D17C23semidirect
303. C22⋊C4×D17C23semidirect
304. C22⋊C4×D17C23semidirect
305. #10587565C23semidirect
306. #10587565C23semidirect
307. #10587564C23semidirect
308. #10587562C23semidirect
309. #10587561C23semidirect
310. C4×D68C23semidirect
311. #10587558C23semidirect
350. C23×D17C24semidirect
353. C2×Q8×C17C24semidirect
372. C2×D4×C17C24semidirect
373. C2×D4×C17C24semidirect
374. C2×D4×C17C24semidirect
383. C22×C4×C17C24semidirect
408. C2×C22⋊D17C24semidirect
409. C2×C22⋊D17C24semidirect
420. C22×Dic17C24semidirect
421. C22×Dic17C24semidirect
422. C22×Dic17C24semidirect
441. C2×C4×D17C24semidirect
443. C2×Dic34C24semidirect
444. C4⋊C4×C17C24semidirect
448. C22⋊C4×C17C24semidirect
449. C22⋊C4×C17C24semidirect
450. C42×C17C24semidirect
451. C42×C17C24semidirect
458. C22⋊Dic17C24semidirect
459. C22⋊Dic17C24semidirect
460. C22⋊Dic17C24semidirect
461. C22⋊Dic17C24semidirect
472. #63227C24semidirect
473. #63227C24semidirect
474. #63227C24semidirect
475. #63227C24semidirect
476. C4⋊Dic17C24semidirect
477. C4⋊Dic17C24semidirect
478. #63225C24semidirect
479. #63225C24semidirect
480. #63225C24semidirect
481. #63225C24semidirect
482. #63225C24semidirect
483. #63225C24semidirect
484. C4×Dic17C24semidirect
485. C4×Dic17C24semidirect
619. C2×#535D17semidirect
678. C22×#41C2×D17semidirect
685. C23×D4C2×D17semidirect
700. #535C2×D17semidirect
704. C2×#127C2×D17semidirect
705. C2×#127C2×D17semidirect
715. C2×#124C2×D17semidirect
716. C2×#124C2×D17semidirect
743. C2×#121C2×D17semidirect
744. C2×#121C2×D17semidirect
765. C2×#120C2×D17semidirect
766. C2×#120C2×D17semidirect
774. C2×#117C2×D17semidirect
788. C2×C17#3532semidirect
808. C2×#41C22×D17semidirect
810. C22×Q8C22×D17semidirect
846. C22×D4C22×D17semidirect
847. C22×D4C22×D17semidirect
848. C22×D4C22×D17semidirect
849. C22×D4C22×D17semidirect
859. C23×C4C22×D17semidirect
861. #127C22×D17semidirect
862. #127C22×D17semidirect
872. #124C22×D17semidirect
873. #124C22×D17semidirect
900. #121C22×D17semidirect
901. #121C22×D17semidirect
920. #120C22×D17semidirect
921. #120C22×D17semidirect
929. #117C22×D17semidirect
938. C2×C4⋊C4C22×D17semidirect
973. C2×C22⋊C4C22×D17semidirect
974. C2×C22⋊C4C22×D17semidirect
977. C2×C42C22×D17semidirect
978. C2×C42C22×D17semidirect
979. C17C2×#3532semidirect
1024. C2×Q8C23×D17semidirect
1079. C2×D4C23×D17semidirect
1080. C2×D4C23×D17semidirect
1081. C2×D4C23×D17semidirect
1111. C22×C4C23×D17semidirect
1120. C4⋊C4C23×D17semidirect
1148. C22⋊C4C23×D17semidirect
1149. C22⋊C4C23×D17semidirect
1152. C42C23×D17semidirect
1153. C42C23×D17semidirect
1332. C2#14542938direct (N × H)

Maximal subgroups

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

subgroupindex
#145429382
C2×#117635512
C2×#117635472
C2×#117635462
C2×#117634892
C2×#117634832
C2×#117634482
C2×#117634472
C2×#117634462
C2×#117634442
C2×#117634412
C2×#117633942
C2×#117633932
C2×#117633912
C2×#117633722
C2×#117633682
C2×#117633672
C22×#105876232
C2×#120×D172
C2×C17×#5352
C2×#353217