Finite Group Databasebeta

← C2×#14542934 #17941441

Subgroups — C2×#14542934 #17941441

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#14542934C2132yesmaximal, direct product factor
2C2×#11763552C211yesmaximal, characteristic, complemented
3C2×#11763547C212yesmaximal, complemented
4C2×#11763546C211yesmaximal, characteristic, complemented
5C2×#11763490C211yesmaximal, characteristic, complemented
6C2×#11763488C212yesmaximal, complemented
7C2×#11763453C212yesmaximal, complemented
8C2×#11763448C212yesmaximal, complemented
9C2×#11763446C212yesmaximal, complemented
10C2×D4×C22⋊D17C212yesmaximal, complemented
11C2×#11763396C212yesmaximal, complemented
12C2×#11763392C212yesmaximal, complemented
13C2×#11763391C212yesmaximal, complemented
14C2×#11763374C212yesmaximal, complemented
15C2×#11763372C211yesmaximal, characteristic, complemented
16C2×#11763369C211yesmaximal, characteristic, complemented
17C2×#11763368C212yesmaximal, complemented
18C22×#10587623C212yesmaximal, complemented
19C2×#120×D17C211yesmaximal, characteristic, complemented
20C2×D42×C17C211yesmaximal, characteristic, complemented
21C25×D17C2211yescharacteristic, complemented
22C22×#63254C2211yescharacteristic, complemented
23C22×#63254C2212yescomplemented
24C23×C22⋊D17C2212yescomplemented
25C23×C22⋊D17C2212yescomplemented
26C23×C22⋊D17C2211yescharacteristic, complemented
27C22×D4×D17C2211yescharacteristic, complemented
28C22×D4×D17C2212yescomplemented
29#11763552C22116yescomplemented
30#11763547C22132yescomplemented
31#11763546C22116yescomplemented
32#11763490C22116yescomplemented
33#11763488C22132yescomplemented
34#11763453C22132yescomplemented
35#11763448C22132yescomplemented
36#11763446C22132yescomplemented
37D4×C22⋊D17C22132yescomplemented
38#11763396C22132yescomplemented
39#11763392C22132yescomplemented
40#11763391C22132yescomplemented
41#11763374C22132yescomplemented
42#11763372C22116yescomplemented
43#11763369C22116yescomplemented
44#11763368C22132yescomplemented
45C2×#10587626C2211yescharacteristic, complemented
46C2×#10587626C2212yescomplemented
47C2×#10587584C2212yescomplemented
48C2×#10587584C2212yescomplemented
49C2×#10587562C2212yescomplemented
50C2×#10587565C2212yescomplemented
51C2×#10587561C2211yescharacteristic, complemented
52C2×#10587622C2211yescharacteristic, complemented
53C2×#10587622C2212yescomplemented
54C2×#10587571C2212yescomplemented
55C2×#10587571C2212yescomplemented
56C2×#10587571C2212yescomplemented
57C2×#10587571C2212yescomplemented
58C2×#10587580C2212yescomplemented
59C2×#10587572C2211yescharacteristic, complemented
60C2×#10587572C2212yescomplemented
61C2×#10587615C2212yescomplemented
62C2×#10587615C2212yescomplemented
63C2×#10587569C2212yescomplemented
64C2×#10587621C2212yescomplemented
65C2×#10587621C2212yescomplemented
66C2×#10587621C2211yescharacteristic, complemented
67C2×#10587621C2212yescomplemented
68C2×#10587610C2212yescomplemented
69C2×#10587582C2212yescomplemented
70C2×#10587564C2212yescomplemented
71C2×#10587616C2212yescomplemented
72C2×#10587570C2212yescomplemented
73C2×#10587570C2212yescomplemented
74C2×#10587625C2212yescomplemented
75C2×#10587625C2212yescomplemented
76C2×#10587625C2212yescomplemented
77C2×#10587625C2212yescomplemented
78C2×#10587625C2212yescomplemented
79C2×#10587625C2212yescomplemented
80C2×#10587625C2212yescomplemented
81C2×#10587625C2212yescomplemented
82C2×#10587624C2212yescomplemented
83C2×#10587624C2212yescomplemented
84C2×#10587568C2212yescomplemented
85C2×#10587568C2211yescharacteristic, complemented
86C2×#10587639C2211yescharacteristic, complemented
87C2×#10587639C2211yescharacteristic, complemented
88C2×#10587639C2212yescomplemented
89C2×#10587639C2212yescomplemented
90C2×#10587623C2212yes—
91C2×#10587623C2212yescomplemented
92C2×#10587623C2212yescomplemented
93C2×#10587623C2212yescomplemented
94C2×#10587623C2212yescomplemented
95C2×#10587623C2212yescomplemented
96C2×#10587623C2212yescomplemented
97C2×#10587623C2211yescharacteristic, complemented
98C2×#10587623C2212yescomplemented
99C2×#10587623C2212yescomplemented
100C2×#10587623C2212yescomplemented
101C2×#10587623C22132yescomplemented
102#120×D17C22116yescomplemented
103C2×D4×Dic17C2212yescomplemented
104C2×D4×Dic17C2212yescomplemented
105C2×C4×C22⋊D17C2212yescomplemented
106C2×C4×C22⋊D17C2212yescomplemented
107C2×#10587567C2212yescomplemented
108C2×#10587558C2211yescharacteristic, complemented
109C2×#10587563C2212yescomplemented
110C22×C22⋊Dic17C2212yescomplemented
111C22×C22⋊Dic17C2212yescomplemented
112C22×#63227C2212yescomplemented
113C22×#63227C2212yescomplemented
114C2×C22⋊C4×D17C2211yescharacteristic, complemented
115C2×C22⋊C4×D17C2212yescomplemented
116C2×C22⋊C4×D17C2211yescharacteristic, complemented
117C23×D4×C17C2212yescomplemented
118C23×D4×C17C2212yescomplemented
119D42×C17C22116yescomplemented
120C2×C17×#127C2211yescharacteristic, complemented
121C2×C17×#121C2212yescomplemented
122C2×C17×#121C2212yescomplemented
123C2×C17×#120C2211yescharacteristic
124C2×C17×#120C2211yescharacteristic, complemented
125C2×C17×#120C2212yescomplemented
126C2×C4×D4×C17C2212yescomplemented
127C25×C17C2311yescharacteristic
128C25×C17C2312yes—
129C25×C17C2311yescharacteristic, complemented
130C24×D17—44no—
131C24×D17—48no—
132C24×D17C2312yes—
133C24×D17C2311yescharacteristic
134C24×D17C2311yescharacteristic
135C24×D17C2312yes—
136C24×D17C2311yescharacteristic
137C24×D17C2318yescomplemented
138C22×D4×C17—48no—
139C22×D4×C17—48no—
140C22×D4×C17C2312yes—
141C22×D4×C17C2312yes—
142C22×D4×C17C2312yes—
143C22×D4×C17C2311yescharacteristic
144C22×D4×C17C2312yes—
145C22×D4×C17C2312yes—
146C22×D4×C17C23116yescomplemented
147C22×D4×C17C2311yescharacteristic, complemented
148C22×D4×C17C2312yescomplemented
149C22×D4×C17C2312yescomplemented
150C22×D4×C17C23116yescomplemented
151C23×C4×C17C2312yes—
152C23×C4×C17C2312yescomplemented
153C22×C22⋊D17—48no—
154C22×C22⋊D17—48no—
155C22×C22⋊D17—44no—
156C22×C22⋊D17C2312yes—
157C22×C22⋊D17C2312yes—
158C22×C22⋊D17C2312yes—
159C22×C22⋊D17C2312yes—
160C22×C22⋊D17C2311yescharacteristic
161C22×C22⋊D17C2312yes—
162C22×C22⋊D17C2312yes—
163C22×C22⋊D17C2312yes—
164C22×C22⋊D17C2312yes—
165C22×C22⋊D17C2312yes—
166C22×C22⋊D17C2312yes—
167C22×C22⋊D17C2311yescharacteristic
168C22×C22⋊D17C23116yescomplemented
169C22×C22⋊D17C23116yescomplemented
170C22×C22⋊D17C2312yescomplemented
171C22×C22⋊D17C2312yescomplemented
172C22×C22⋊D17C2318yescomplemented
173C23×Dic17C2312yes—
174C23×Dic17C2312yes—
175C23×Dic17C2312yescomplemented
176C23×Dic17C2312yescomplemented
177C23×Dic17C2311yescharacteristic, complemented
178C2×#63254—44no—
179C2×#63254—48no—
180C2×#63254C2318yescomplemented
181C2×#63254C23116yescomplemented
182C2×D4×D17—44no—
183C2×D4×D17—48no—
184C2×D4×D17C2318yescomplemented
185C2×D4×D17C23116yescomplemented
186C22×D68C2311yescharacteristic
187C22×D68C2312yes—
188C22×C4×D17C2311yescharacteristic
189C22×C4×D17C2312yes—
190C22×C4×D17C2312yescomplemented
191C22×Dic34C2311yescharacteristic, complemented
192C22×Dic34C2312yescomplemented
193C17×#127C2318yescomplemented
194C17×#121C23116yescomplemented
195C17×#121C23116yescomplemented
196C17×#120C2318yes—
197C17×#120C23116yescomplemented
198C17×#120C2318yescomplemented
199C4×D4×C17C23116yescomplemented
200C2×C4⋊C4×C17C2312yescomplemented
201C2×C22⋊C4×C17C2312yes—
202C2×C22⋊C4×C17C2311yescharacteristic
203C2×C22⋊C4×C17C2312yescomplemented
204C2×C22⋊C4×C17C2311yescharacteristic, complemented
205C2×C22⋊C4×C17C2312yescomplemented
206C2×C42×C17C2311yescharacteristic, complemented
207#10587639C2318yescomplemented
208#10587639C23116yescomplemented
209#10587639C23116yescomplemented
210#10587639C2318yescomplemented
211C2×C22⋊Dic17C2312yes—
212C2×C22⋊Dic17C2311yescharacteristic
213C2×C22⋊Dic17C2312yes—
214C2×C22⋊Dic17C2312yes—
215C2×C22⋊Dic17C2312yes—
216C2×C22⋊Dic17C2312yes—
217C2×C22⋊Dic17C23116yescomplemented
218C2×C22⋊Dic17C23116yescomplemented
219C2×C22⋊Dic17C2311yescharacteristic, complemented
220C2×C22⋊Dic17C2312yescomplemented
221C2×C22⋊Dic17C2312yescomplemented
222C2×C22⋊Dic17C2312yescomplemented
223C2×C22⋊Dic17C2312yescomplemented
224C2×C22⋊Dic17C2312yescomplemented
225#10587626C23116yescomplemented
226#10587626C2318yescomplemented
227#10587625C23116yescomplemented
228#10587625C23116yescomplemented
229#10587625C23116yescomplemented
230#10587625C23116yescomplemented
231#10587625C23116yescomplemented
232#10587625C23116yescomplemented
233#10587625C23116yescomplemented
234#10587625C23116yescomplemented
235#10587624C23116yescomplemented
236#10587624C23116yescomplemented
237#10587623C23116yes—
238#10587623C23116yescomplemented
239#10587623C2318yescomplemented
240#10587623C23116yescomplemented
241#10587623C23116yescomplemented
242#10587623C23116yescomplemented
243#10587623C23116yescomplemented
244#10587623C23116yescomplemented
245#10587623C23116yescomplemented
246#10587623C23116yescomplemented
247#10587623C23116yescomplemented
248#10587622C2318yescomplemented
249#10587622C23116yescomplemented
250#10587621C2318yescomplemented
251#10587621C23116yescomplemented
252#10587621C23116yescomplemented
253#10587621C23116yescomplemented
254D4×Dic17C23116yescomplemented
255D4×Dic17C23116yescomplemented
256#10587616C23116yescomplemented
257#10587615C23116yescomplemented
258#10587615C23116yescomplemented
259C4×C22⋊D17C23116yescomplemented
260C4×C22⋊D17C23116yescomplemented
261C2×#63227C2312yes—
262C2×#63227C2312yes—
263C2×#63227C2312yes—
264C2×#63227C2312yes—
265C2×#63227C2312yes—
266C2×#63227C2312yes—
267C2×#63227C2312yes—
268C2×#63227C2312yes—
269C2×#63227C2312yes—
270C2×#63227C2312yes—
271C2×#63227C2312yes—
272C2×#63227C23116yescomplemented
273C2×#63227C23116yescomplemented
274C2×#63227C2312yescomplemented
275C2×C4⋊Dic17C2312yescomplemented
276C2×C4⋊Dic17C2312yescomplemented
277#10587610C23116yescomplemented
278C2×#63225C2312yescomplemented
279C2×#63225C2312yescomplemented
280C2×#63225C2312yescomplemented
281C2×#63225C2312yescomplemented
282C2×#63225C2312yescomplemented
283C2×#63225C2312yescomplemented
284C2×C4×Dic17C2311yescharacteristic, complemented
285C2×C4×Dic17C2312yescomplemented
286C2×C4×Dic17C2312yescomplemented
287#10587584C23116yescomplemented
288#10587584C23116yescomplemented
289#10587582C23116yescomplemented
290#10587580C23116yescomplemented
291#10587572C23116yescomplemented
292#10587572C2318yescomplemented
293#10587571C23116yescomplemented
294#10587571C23116yescomplemented
295#10587571C23116yescomplemented
296#10587571C23116yescomplemented
297#10587570C23116yescomplemented
298#10587570C23116yescomplemented
299#10587569C23116yescomplemented
300#10587568C2318yescomplemented
301#10587568C23116yescomplemented
302#10587567C23116yescomplemented
303C22⋊C4×D17C23116yescomplemented
304C22⋊C4×D17C2318yescomplemented
305C22⋊C4×D17C2318yescomplemented
306#10587565C23116yescomplemented
307#10587564C23116yescomplemented
308#10587563C23116yescomplemented
309#10587562C23116yescomplemented
310#10587561C2318yescomplemented
311#10587558C2318yescomplemented
312C24×C17—28no—
313C24×C17—28no—
314C24×C17—42no—
315C24×C17—44no—
316C24×C17—42no—
317C24×C17—44no—
318C24×C17—44no—
319C24×C17C2412yes—
320C24×C17C2411yescharacteristic
321C24×C17C2412yes—
322C24×C17C2411yescharacteristic
323C24×C17C2414yes—
324C24×C17C2412yes—
325C24×C17C2418yes—
326C24×C17C2414yescomplemented
327C23×D17—28no—
328C23×D17—28no—
329C23×D17—24no—
330C23×D17—28no—
331C23×D17—24no—
332C23×D17—416no—
333C23×D17—44no—
334C23×D17—44no—
335C23×D17—44no—
336C23×D17—44no—
337C23×D17—44no—
338C23×D17—42no—
339C23×D17—432no—
340C23×D17—44no—
341C23×D17—464no—
342C23×D17C2411yescharacteristic
343C23×D17C2411yescharacteristic
344C23×D17C2412yes—
345C23×D17C2418yes—
346C23×D17C2411yescharacteristic
347C23×D17C2414yes—
348C23×D17C2414yes—
349C23×D17C2418yes—
350C23×D17C2414yes—
351C2×D4×C17—28no—
352C2×D4×C17—28no—
353C2×D4×C17—28no—
354C2×D4×C17—42no—
355C2×D4×C17—42no—
356C2×D4×C17—44no—
357C2×D4×C17—44no—
358C2×D4×C17—44no—
359C2×D4×C17—44no—
360C2×D4×C17—432no—
361C2×D4×C17—432no—
362C2×D4×C17C2418yes—
363C2×D4×C17C2418yes—
364C2×D4×C17C2418yes—
365C2×D4×C17C2414yes—
366C2×D4×C17C2418yes—
367C2×D4×C17C2418yes—
368C2×D4×C17C2414yescomplemented
369C2×D4×C17C2418yescomplemented
370C2×D4×C17C2418yescomplemented
371C22×C4×C17—44no—
372C22×C4×C17—44no—
373C22×C4×C17C2411yescharacteristic
374C22×C4×C17C2412yes—
375C22×C4×C17C2412yes—
376C22×C4×C17C2412yes—
377C22×C4×C17C2418yes—
378C22×C4×C17C2418yescomplemented
379C2×C22⋊D17—28no—
380C2×C22⋊D17—28no—
381C2×C22⋊D17—28no—
382C2×C22⋊D17—44no—
383C2×C22⋊D17—42no—
384C2×C22⋊D17—42no—
385C2×C22⋊D17—44no—
386C2×C22⋊D17—44no—
387C2×C22⋊D17—44no—
388C2×C22⋊D17—44no—
389C2×C22⋊D17—44no—
390C2×C22⋊D17—44no—
391C2×C22⋊D17—44no—
392C2×C22⋊D17—432no—
393C2×C22⋊D17—44no—
394C2×C22⋊D17—432no—
395C2×C22⋊D17—416no—
396C2×C22⋊D17C2418yes—
397C2×C22⋊D17C2418yes—
398C2×C22⋊D17C2418yes—
399C2×C22⋊D17C2414yes—
400C2×C22⋊D17C2418yes—
401C2×C22⋊D17C2414yes—
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—28no—
411C22×Dic17—44no—
412C22×Dic17—44no—
413C22×Dic17—44no—
414C22×Dic17—42no—
415C22×Dic17C2412yes—
416C22×Dic17C2412yes—
417C22×Dic17C2412yes—
418C22×Dic17C2411yescharacteristic
419C22×Dic17C2412yes—
420C22×Dic17C2418yes—
421C22×Dic17C2412yes—
422C22×Dic17C2418yes—
423C22×Dic17C2418yescomplemented
424C22×Dic17C2418yescomplemented
425C22×Dic17C2414yescomplemented
426#63254—416no—
427#63254—432no—
428D4×D17—416no—
429D4×D17—432no—
430C2×D68—42no—
431C2×D68—44no—
432C2×D68C2414yes—
433C2×D68C2418yes—
434C2×C4×D17—24no—
435C2×C4×D17—44no—
436C2×C4×D17—44no—
437C2×C4×D17C2414yes—
438C2×C4×D17C2418yes—
439C2×C4×D17C2418yescomplemented
440C2×Dic34—44no—
441C2×Dic34—42no—
442C2×Dic34C2414yescomplemented
443C2×Dic34C2418yescomplemented
444C4⋊C4×C17C2418yescomplemented
445C22⋊C4×C17C2418yes—
446C22⋊C4×C17C2414yes—
447C22⋊C4×C17C2414yescomplemented
448C22⋊C4×C17C2418yescomplemented
449C22⋊C4×C17C2418yescomplemented
450C42×C17C2414yescomplemented
451C22⋊Dic17C2418yes—
452C22⋊Dic17C2418yes—
453C22⋊Dic17C2418yes—
454C22⋊Dic17C2418yes—
455C22⋊Dic17C2418yes—
456C22⋊Dic17C2414yes—
457C22⋊Dic17C2414yescomplemented
458C22⋊Dic17C2418yescomplemented
459C22⋊Dic17C2418yescomplemented
460C22⋊Dic17C2418yescomplemented
461C22⋊Dic17C2418yescomplemented
462C22⋊Dic17C2418yescomplemented
463#63227C2418yes—
464#63227C2418yes—
465#63227C2418yes—
466#63227C2418yes—
467#63227C2418yes—
468#63227C2418yes—
469#63227C2418yes—
470#63227C2418yes—
471#63227C2418yes—
472#63227C2418yes—
473#63227C2418yes—
474#63227C2418yescomplemented
475C4⋊Dic17C2418yescomplemented
476C4⋊Dic17C2418yescomplemented
477#63225C2418yescomplemented
478#63225C2418yescomplemented
479#63225C2418yescomplemented
480#63225C2418yescomplemented
481#63225C2418yescomplemented
482#63225C2418yescomplemented
483C4×Dic17C2414yescomplemented
484C4×Dic17C2418yescomplemented
485C4×Dic17C2418yescomplemented
486C2×#3532—171nomaximal, Sylow
487C23×C17—24no—
488C23×C17—24no—
489C23×C17—24no—
490C23×C17—24no—
491C23×C17—22no—
492C23×C17—24no—
493C23×C17—24no—
494C23×C17—24no—
495C23×C17—24no—
496C23×C17—22no—
497C23×C17—24no—
498C23×C17—216no—
499C23×C17—24no—
500C23×C17—216no—
501C23×C17—44no—
502C23×C17—48no—
503C23×C17—44no—
504C23×C17—48no—
505C23×C17—48no—
506C23×C17—416no—
507C23×C17—816no—
508C23×C17—88no—
509C23×C17H(5,𝔽2)18yes—
510C23×C17C2512yes—
511C23×C17C2512yes—
512C23×C17C2514yes—
513C23×C17C2514yes—
514C23×C17C2514yes—
515C23×C17C2511yescharacteristic
516C22×D17—24no—
517C22×D17—24no—
518C22×D17—22no—
519C22×D17—22no—
520C22×D17—24no—
521C22×D17—216no—
522C22×D17—24no—
523C22×D17—216no—
524C22×D17—24no—
525C22×D17—24no—
526C22×D17—28no—
527C22×D17—216no—
528C22×D17—28no—
529C22×D17—48no—
530C22×D17—48no—
531C22×D17—48no—
532C22×D17—48no—
533C22×D17—48no—
534C22×D17—44no—
535C22×D17—48no—
536C22×D17—432no—
537C22×D17—416no—
538C22×D17—432no—
539C22×D17—4128no—
540C22×D17—416no—
541C22×D17—88no—
542C22×D17H(5,𝔽2)14yes—
543C22×D17C2512yes—
544C22×D17C2512yes—
545C22×D17C2514yes—
546C22×D17C2512yes—
547D4×C17—216no—
548D4×C17—216no—
549D4×C17—216no—
550D4×C17—44no—
551D4×C17—44no—
552D4×C17—48no—
553D4×C17—48no—
554D4×C17—48no—
555D4×C17—48no—
556C2×C4×C17—22no—
557C2×C4×C17—24no—
558C2×C4×C17—24no—
559C2×C4×C17—24no—
560C2×C4×C17—48no—
561C2×C4×C17—48no—
562C2×C4×C17C2512yes—
563C2×C4×C17C2514yes—
564C2×C4×C17C2514yes—
565C2×C4×C17C2514yes—
566C22⋊D17—216no—
567C22⋊D17—216no—
568C22⋊D17—216no—
569C22⋊D17—48no—
570C22⋊D17—44no—
571C22⋊D17—44no—
572C22⋊D17—48no—
573C22⋊D17—48no—
574C22⋊D17—48no—
575C22⋊D17—48no—
576C22⋊D17—48no—
577C22⋊D17—48no—
578C22⋊D17—48no—
579C22⋊D17—48no—
580C2×Dic17—24no—
581C2×Dic17—24no—
582C2×Dic17—24no—
583C2×Dic17—22no—
584C2×Dic17—24no—
585C2×Dic17—216no—
586C2×Dic17—24no—
587C2×Dic17—48no—
588C2×Dic17—48no—
589C2×Dic17—48no—
590C2×Dic17—44no—
591C2×Dic17C2514yes—
592C2×Dic17C2514yes—
593C2×Dic17C2514yes—
594C2×Dic17C2512yes—
595C2×Dic17C2514yes—
596C2×Dic17C2514yes—
597D68—44no—
598D68—48no—
599C4×D17—28no—
600C4×D17—48no—
601C4×D17—48no—
602Dic34—48no—
603Dic34—44no—
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—172no—
614C2×D42D1711yescharacteristic, complemented
615C2×#538—172no—
616C2×#538—172no—
617C2×#538—172no—
618C2×#535—171no—
619C2×#535—172no—
620C2×#534—172no—
621C2×#534—171no—
622C22×#120—172no—
623C22×#120—171no—
624C22×C17—24no—
625C22×C17—24no—
626C22×C17—216no—
627C22×C17—24no—
628C22×C17—24no—
629C22×C17—22no—
630C22×C17—24no—
631C22×C17—24no—
632C22×C17—24no—
633C22×C17—24no—
634C22×C17—22no—
635C22×C17—24no—
636C22×C17—24no—
637C22×C17—416no—
638C22×C17—44no—
639C22×C17—44no—
640C22×C17—48no—
641C22×C17—48no—
642C22×C17—816no—
643C22×C17—88no—
644C22×C17C2×H(5,𝔽2)12yes—
645C22×C17C2×H(5,𝔽2)18yes—
646C22×C17C2×H(5,𝔽2)14yes—
647C22×C17C2611yescharacteristic
648C2×D17—24no—
649C2×D17—28no—
650C2×D17—24no—
651C2×D17—22no—
652C2×D17—22no—
653C2×D17—24no—
654C2×D17—24no—
655C2×D17—24no—
656C2×D17—24no—
657C2×D17—432no—
658C2×D17—416no—
659C2×D17—432no—
660C2×D17—416no—
661C2×D17—48no—
662C2×D17—44no—
663C2×D17—44no—
664C2×D17—88no—
665C2×D17C2×H(5,𝔽2)14yes—
666C4×C17—22no—
667C4×C17—24no—
668C4×C17—24no—
669C4×C17—24no—
670Dic17—24no—
671Dic17—24no—
672Dic17—24no—
673Dic17—22no—
674Dic17—24no—
675Dic17—24no—
676C26—171no—
677C22×#41—172no—
678C22×#41—171no—
679C23×D4—172no—
680C23×D4—172no—
681C23×D4—171no—
682C23×D4—171no—
683C23×D4—172no—
684C23×D4C2×D1712yescomplemented
685C23×D4C2×D1712yescomplemented
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—1732no—
695D42C2×D17116yescomplemented
696#538—1732no—
697#538—1732no—
698#538—1732no—
699#535—1716no—
700#535—1732no—
701#534—1732no—
702#534—1716no—
703C2×#127—171no—
704C2×#127—172no—
705C2×#127C2×D1711yescharacteristic, complemented
706C2×#126—172no—
707C2×#126—172no—
708C2×#126—172no—
709C2×#126—172no—
710C2×#124—171no—
711C2×#124—172no—
712C2×#124—172no—
713C2×#124—172no—
714C2×#124—172no—
715C2×#124—172no—
716C2×#124—171no—
717C2×#123—172no—
718C2×#123—172no—
719C2×#123—171no—
720C2×#123—172no—
721C2×#123—172no—
722C2×#123—172no—
723C2×#123—172no—
724C2×#123—172no—
725C2×#123—171no—
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—171no—
746C2×#120—172no—
747C2×#120—171no—
748C2×#120—172no—
749C2×#120—172no—
750C2×#120—172no—
751C2×#120—172no—
752C2×#120—172no—
753C2×#120—172no—
754C2×#120—172no—
755C2×#120—172no—
756C2×#120—172no—
757C2×#120—172no—
758C2×#120—171no—
759C2×#120—1732no—
760C2×#120—172no—
761C2×#120—1716no—
762C2×#120—172no—
763C2×#120—171no—
764C2×#120C2×D1711yescharacteristic
765C2×#120C2×D1712yescomplemented
766C2×#120C2×D1711yescharacteristic, complemented
767C2×C4×D4—172no—
768C2×C4×D4—172no—
769C2×C4×D4—172no—
770C2×C4×D4—172no—
771C2×C4×D4—172no—
772C2×C4×D4C2×D1712yescomplemented
773C2×#117—172no—
774C2×#117—171no—
775C22×C22⋊C4—172no—
776C22×C22⋊C4—172no—
777C22×C22⋊C4—172no—
778C22×C22⋊C4—172no—
779C22×C22⋊C4—171no—
780C22×C22⋊C4—172no—
781C22×C22⋊C4—171no—
782C2×C17—28no—
783C2×C17—42no—
784C2×C17—42no—
785C2×C17—44no—
786C2×C17—44no—
787C2×C17#353214yescomplemented
788C2×C17C22×H(5,𝔽2)11yescharacteristic
789C2×C17C22×H(5,𝔽2)12yes—
790D17—24no—
791D17—44no—
792D17—42no—
793D17—42no—
794C25—172no—
795C25—171no—
796C25—172no—
797C25—171no—
798C25—171no—
799C25—178no—
800C25—688no—
801C25—684no—
802C25C22×D1711yescharacteristic
803C25C22×D1712yes—
804C25C22×D1711yescharacteristic, complemented
805C2×#41—1716no—
806C2×#41—178no—
807C2×#41—688no—
808C2×#41—684no—
809C22×Q8—172no—
810C22×Q8—171no—
811C22×D4—48no—
812C22×D4—48no—
813C22×D4—172no—
814C22×D4—172no—
815C22×D4—172no—
816C22×D4—171no—
817C22×D4—172no—
818C22×D4—172no—
819C22×D4—172no—
820C22×D4—172no—
821C22×D4—172no—
822C22×D4—171no—
823C22×D4—172no—
824C22×D4—172no—
825C22×D4—172no—
826C22×D4—1716no—
827C22×D4—1716no—
828C22×D4—172no—
829C22×D4—178no—
830C22×D4—178no—
831C22×D4—1716no—
832C22×D4—172no—
833C22×D4—171no—
834C22×D4—684no—
835C22×D4—688no—
836C22×D4—688no—
837C22×D4—684no—
838C22×D4—688no—
839C22×D4C22×D1712yes—
840C22×D4C22×D1712yes—
841C22×D4C22×D1712yes—
842C22×D4C22×D1712yes—
843C22×D4C22×D1712yes—
844C22×D4C22×D1711yescharacteristic
845C22×D4C22×D17116yescomplemented
846C22×D4C22×D1712yescomplemented
847C22×D4C22×D1711yescharacteristic, complemented
848C22×D4C22×D1712yescomplemented
849C22×D4C22×D17116yescomplemented
850C23×C4—172no—
851C23×C4—172no—
852C23×C4—172no—
853C23×C4—172no—
854C23×C4—171no—
855C23×C4—171no—
856C23×C4—172no—
857C23×C4—172no—
858C23×C4C22×D1712yes—
859C23×C4C22×D1712yescomplemented
860#127—178no—
861#127—1716no—
862#127C22×D1718yescomplemented
863#126—1716no—
864#126—1716no—
865#126—1716no—
866#126—1716no—
867#124—178no—
868#124—1716no—
869#124—1716no—
870#124—1716no—
871#124—1716no—
872#124—1716no—
873#124—178no—
874#123—1716no—
875#123—1716no—
876#123—178no—
877#123—1716no—
878#123—1716no—
879#123—1716no—
880#123—1716no—
881#123—178no—
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—178no—
903#120—1716no—
904#120—178no—
905#120—1716no—
906#120—1716no—
907#120—1716no—
908#120—1716no—
909#120—1716no—
910#120—1716no—
911#120—1716no—
912#120—1716no—
913#120—1716no—
914#120—1716no—
915#120—178no—
916#120—1716no—
917#120—1716no—
918#120—178no—
919#120C22×D1718yes—
920#120C22×D17116yescomplemented
921#120C22×D1718yescomplemented
922C4×D4—1716no—
923C4×D4—1716no—
924C4×D4—1716no—
925C4×D4—1716no—
926C4×D4—1716no—
927C4×D4C22×D17116yescomplemented
928#117—1716no—
929#117—178no—
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—172no—
941C2×C22⋊C4—172no—
942C2×C22⋊C4—172no—
943C2×C22⋊C4—172no—
944C2×C22⋊C4—171no—
945C2×C22⋊C4—1716no—
946C2×C22⋊C4—171no—
947C2×C22⋊C4—172no—
948C2×C22⋊C4—172no—
949C2×C22⋊C4—1716no—
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—172no—
962C2×C22⋊C4—172no—
963C2×C22⋊C4—172no—
964C2×C22⋊C4—1716no—
965C2×C22⋊C4—1716no—
966C2×C22⋊C4—172no—
967C2×C22⋊C4—178no—
968C2×C22⋊C4—1716no—
969C2×C22⋊C4—178no—
970C2×C22⋊C4C22×D1712yes—
971C2×C22⋊C4C22×D1711yescharacteristic
972C2×C22⋊C4C22×D1711yescharacteristic, complemented
973C2×C22⋊C4C22×D1712yescomplemented
974C2×C22⋊C4C22×D1712yescomplemented
975C2×C42—171no—
976C2×C42—172no—
977C2×C42—172no—
978C2×C42C22×D1711yescharacteristic, complemented
979C17C2×#353211yescharacteristic, complemented, Sylow
980C24—28no—
981C24—28no—
982C24—42no—
983C24—44no—
984C24—44no—
985C24—44no—
986C24—42no—
987C24—171no—
988C24—172no—
989C24—171no—
990C24—171no—
991C24—178no—
992C24—174no—
993C24—178no—
994C24—174no—
995C24—174no—
996C24—348no—
997C24—344no—
998C24—344no—
999C24—348no—
1000C24—348no—
1001C24—684no—
1002C24—684no—
1003C24—684no—
1004C24—682no—
1005C24—684no—
1006C24—684no—
1007C24—6832no—
1008C24—684no—
1009C24—6816no—
1010C24—6864no—
1011C24C23×D1711yescharacteristic
1012C24C23×D1711yescharacteristic
1013C24C23×D1712yes—
1014C24C23×D1712yes—
1015C24C23×D1714yes—
1016C24C23×D1712yes—
1017C24C23×D1718yes—
1018C24C23×D1714yescomplemented
1019#41—6832no—
1020#41—6816no—
1021C2×Q8—178no—
1022C2×Q8—174no—
1023C2×Q8—682no—
1024C2×Q8—684no—
1025C2×D4—28no—
1026C2×D4—28no—
1027C2×D4—28no—
1028C2×D4—44no—
1029C2×D4—44no—
1030C2×D4—44no—
1031C2×D4—44no—
1032C2×D4—42no—
1033C2×D4—42no—
1034C2×D4—432no—
1035C2×D4—432no—
1036C2×D4—178no—
1037C2×D4—178no—
1038C2×D4—178no—
1039C2×D4—174no—
1040C2×D4—178no—
1041C2×D4—178no—
1042C2×D4—178no—
1043C2×D4—178no—
1044C2×D4—178no—
1045C2×D4—174no—
1046C2×D4—178no—
1047C2×D4—178no—
1048C2×D4—178no—
1049C2×D4—178no—
1050C2×D4—178no—
1051C2×D4—174no—
1052C2×D4—348no—
1053C2×D4—348no—
1054C2×D4—348no—
1055C2×D4—682no—
1056C2×D4—684no—
1057C2×D4—6816no—
1058C2×D4—682no—
1059C2×D4—682no—
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—684no—
1069C2×D4—684no—
1070C2×D4—6832no—
1071C2×D4—6816no—
1072C2×D4—6832no—
1073C2×D4C23×D1718yes—
1074C2×D4C23×D1718yes—
1075C2×D4C23×D1718yes—
1076C2×D4C23×D1718yes—
1077C2×D4C23×D1718yes—
1078C2×D4C23×D1714yes—
1079C2×D4C23×D1718yescomplemented
1080C2×D4C23×D1714yescomplemented
1081C2×D4C23×D1718yescomplemented
1082C22×C4—44no—
1083C22×C4—44no—
1084C22×C4—178no—
1085C22×C4—172no—
1086C22×C4—172no—
1087C22×C4—172no—
1088C22×C4—172no—
1089C22×C4—171no—
1090C22×C4—172no—
1091C22×C4—178no—
1092C22×C4—178no—
1093C22×C4—178no—
1094C22×C4—174no—
1095C22×C4—174no—
1096C22×C4—178no—
1097C22×C4—178no—
1098C22×C4—344no—
1099C22×C4—348no—
1100C22×C4—684no—
1101C22×C4—684no—
1102C22×C4—682no—
1103C22×C4—684no—
1104C22×C4—684no—
1105C22×C4—684no—
1106C22×C4C23×D1711yescharacteristic
1107C22×C4C23×D1712yes—
1108C22×C4C23×D1712yes—
1109C22×C4C23×D1712yes—
1110C22×C4C23×D1718yes—
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—178no—
1123C22⋊C4—178no—
1124C22⋊C4—178no—
1125C22⋊C4—178no—
1126C22⋊C4—174no—
1127C22⋊C4—174no—
1128C22⋊C4—178no—
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×D1714yes—
1147C22⋊C4C23×D1714yescomplemented
1148C22⋊C4C23×D1718yescomplemented
1149C22⋊C4C23×D1718yescomplemented
1150C42—174no—
1151C42—178no—
1152C42—178no—
1153C42C23×D1714yescomplemented
1154C23—24no—
1155C23—24no—
1156C23—24no—
1157C23—22no—
1158C23—22no—
1159C23—24no—
1160C23—24no—
1161C23—24no—
1162C23—24no—
1163C23—24no—
1164C23—24no—
1165C23—216no—
1166C23—24no—
1167C23—216no—
1168C23—44no—
1169C23—48no—
1170C23—48no—
1171C23—48no—
1172C23—44no—
1173C23—416no—
1174C23—816no—
1175C23—88no—
1176C23—174no—
1177C23—172no—
1178C23—174no—
1179C23—172no—
1180C23—172no—
1181C23—3416no—
1182C23—348no—
1183C23—348no—
1184C23—344no—
1185C23—342no—
1186C23—342no—
1187C23—344no—
1188C23—344no—
1189C23—3416no—
1190C23—3416no—
1191C23—344no—
1192C23—344no—
1193C23—344no—
1194C23—688no—
1195C23—688no—
1196C23—688no—
1197C23—684no—
1198C23—688no—
1199C23—688no—
1200C23—688no—
1201C23—6832no—
1202C23—6832no—
1203C23—6816no—
1204C23—68128no—
1205C23—6816no—
1206C23—1368no—
1207C23#1058769118yes—
1208C23C24×D1712yes—
1209C23C24×D1712yes—
1210C23C24×D1714yes—
1211C23C24×D1714yes—
1212C23C24×D1714yes—
1213C23C24×D1711yescharacteristic
1214Q8—684no—
1215Q8—688no—
1216D4—216no—
1217D4—216no—
1218D4—216no—
1219D4—48no—
1220D4—48no—
1221D4—48no—
1222D4—48no—
1223D4—44no—
1224D4—44no—
1225D4—3416no—
1226D4—3416no—
1227D4—3416no—
1228D4—684no—
1229D4—688no—
1230D4—684no—
1231D4—684no—
1232D4—688no—
1233D4—688no—
1234D4—688no—
1235D4—688no—
1236D4—688no—
1237D4—688no—
1238D4—688no—
1239D4—688no—
1240D4—688no—
1241C2×C4—22no—
1242C2×C4—24no—
1243C2×C4—24no—
1244C2×C4—24no—
1245C2×C4—48no—
1246C2×C4—48no—
1247C2×C4—174no—
1248C2×C4—174no—
1249C2×C4—174no—
1250C2×C4—174no—
1251C2×C4—172no—
1252C2×C4—174no—
1253C2×C4—348no—
1254C2×C4—342no—
1255C2×C4—344no—
1256C2×C4—344no—
1257C2×C4—344no—
1258C2×C4—344no—
1259C2×C4—3416no—
1260C2×C4—344no—
1261C2×C4—688no—
1262C2×C4—688no—
1263C2×C4—684no—
1264C2×C4—688no—
1265C2×C4—688no—
1266C2×C4—688no—
1267C2×C4C24×D1712yes—
1268C2×C4C24×D1714yes—
1269C2×C4C24×D1714yes—
1270C2×C4C24×D1714yes—
1271C22—216no—
1272C22—24no—
1273C22—24no—
1274C22—24no—
1275C22—22no—
1276C22—22no—
1277C22—24no—
1278C22—24no—
1279C22—24no—
1280C22—24no—
1281C22—24no—
1282C22—24no—
1283C22—24no—
1284C22—416no—
1285C22—44no—
1286C22—48no—
1287C22—44no—
1288C22—48no—
1289C22—816no—
1290C22—88no—
1291C22—174no—
1292C22—348no—
1293C22—344no—
1294C22—342no—
1295C22—342no—
1296C22—344no—
1297C22—344no—
1298C22—344no—
1299C22—344no—
1300C22—344no—
1301C22—6832no—
1302C22—6832no—
1303C22—6816no—
1304C22—6816no—
1305C22—688no—
1306C22—684no—
1307C22—684no—
1308C22—1368no—
1309C22H(5,𝔽2)×D1712yes—
1310C22C2×#1058769118yes—
1311C22C2×#1058769114yes—
1312C22C25×D1711yescharacteristic
1313C4—22no—
1314C4—24no—
1315C4—24no—
1316C4—24no—
1317C4—342no—
1318C4—344no—
1319C4—344no—
1320C4—344no—
1321C4—344no—
1322C4—344no—
1323C2—28no—
1324C2—42no—
1325C2—44no—
1326C2—42no—
1327C2—44no—
1328C2—344no—
1329C2—684no—
1330C2—682no—
1331C2—682no—
1332C2#1454293414yesdirect product factor
1333C2C2×H(5,𝔽2)×D1711yescharacteristic
1334C2C22×#1058769112yes—
subgroupG/H
centerC23C24×D17
commutator, cosocleC22×C17C26
FrattiniC22C25×D17
FittingC2×D42×C17C2
socleC23×C17C25
hypercenterC2×D42D17
hypocenterC17C2×#3532
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C23 ◁ C2×D42

Complements

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

NH ≅ G/Ntype
1. #14542934C2direct (N × H)
2. C2×#11763552C2semidirect
3. C2×#11763547C2semidirect
4. C2×#11763546C2semidirect
5. C2×#11763490C2semidirect
6. C2×#11763488C2semidirect
7. C2×#11763453C2semidirect
8. C2×#11763448C2semidirect
9. C2×#11763446C2semidirect
10. C2×D4×C22⋊D17C2semidirect
11. C2×#11763396C2semidirect
12. C2×#11763392C2semidirect
13. C2×#11763391C2semidirect
14. C2×#11763374C2semidirect
15. C2×#11763372C2semidirect
16. C2×#11763369C2semidirect
17. C2×#11763368C2semidirect
18. C22×#10587623C2semidirect
19. C2×#120×D17C2semidirect
20. C2×D42×C17C2semidirect
21. C25×D17C22semidirect
22. C22×#63254C22semidirect
23. C22×#63254C22semidirect
24. C23×C22⋊D17C22semidirect
25. C23×C22⋊D17C22semidirect
26. C23×C22⋊D17C22semidirect
27. C22×D4×D17C22semidirect
28. C22×D4×D17C22semidirect
29. #11763552C22semidirect
30. #11763547C22semidirect
31. #11763546C22semidirect
32. #11763490C22semidirect
33. #11763488C22semidirect
34. #11763453C22semidirect
35. #11763448C22semidirect
36. #11763446C22semidirect
37. D4×C22⋊D17C22semidirect
38. #11763396C22semidirect
39. #11763392C22semidirect
40. #11763391C22semidirect
41. #11763374C22semidirect
42. #11763372C22semidirect
43. #11763369C22semidirect
44. #11763368C22semidirect
45. C2×#10587626C22semidirect
46. C2×#10587626C22semidirect
47. C2×#10587584C22semidirect
48. C2×#10587584C22semidirect
49. C2×#10587562C22semidirect
50. C2×#10587565C22semidirect
51. C2×#10587561C22semidirect
52. C2×#10587622C22semidirect
53. C2×#10587622C22semidirect
54. C2×#10587571C22semidirect
55. C2×#10587571C22semidirect
56. C2×#10587571C22semidirect
57. C2×#10587571C22semidirect
58. C2×#10587580C22semidirect
59. C2×#10587572C22semidirect
60. C2×#10587572C22semidirect
61. C2×#10587615C22semidirect
62. C2×#10587615C22semidirect
63. C2×#10587569C22semidirect
64. C2×#10587621C22semidirect
65. C2×#10587621C22semidirect
66. C2×#10587621C22semidirect
67. C2×#10587621C22semidirect
68. C2×#10587610C22semidirect
69. C2×#10587582C22semidirect
70. C2×#10587564C22semidirect
71. C2×#10587616C22semidirect
72. C2×#10587570C22semidirect
73. C2×#10587570C22semidirect
74. C2×#10587625C22semidirect
75. C2×#10587625C22semidirect
76. C2×#10587625C22semidirect
77. C2×#10587625C22semidirect
78. C2×#10587625C22semidirect
79. C2×#10587625C22semidirect
80. C2×#10587625C22semidirect
81. C2×#10587625C22semidirect
82. C2×#10587624C22semidirect
83. C2×#10587624C22semidirect
84. C2×#10587568C22semidirect
85. C2×#10587568C22semidirect
86. C2×#10587639C22semidirect
87. C2×#10587639C22semidirect
88. C2×#10587639C22semidirect
89. C2×#10587639C22semidirect
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. C2×#10587623C22semidirect
101. C2×#10587623C22semidirect
102. #120×D17C22semidirect
103. C2×D4×Dic17C22semidirect
104. C2×D4×Dic17C22semidirect
105. C2×C4×C22⋊D17C22semidirect
106. C2×C4×C22⋊D17C22semidirect
107. C2×#10587567C22semidirect
108. C2×#10587558C22semidirect
109. C2×#10587563C22semidirect
110. C22×C22⋊Dic17C22semidirect
111. C22×C22⋊Dic17C22semidirect
112. C22×#63227C22semidirect
113. C22×#63227C22semidirect
114. C2×C22⋊C4×D17C22semidirect
115. C2×C22⋊C4×D17C22semidirect
116. C2×C22⋊C4×D17C22semidirect
117. C23×D4×C17C22semidirect
118. C23×D4×C17C22semidirect
119. D42×C17C22semidirect
120. C2×C17×#127C22semidirect
121. C2×C17×#121C22semidirect
122. C2×C17×#121C22semidirect
124. C2×C17×#120C22semidirect
125. C2×C17×#120C22semidirect
126. C2×C4×D4×C17C22semidirect
129. C25×C17C23semidirect
137. C24×D17C23semidirect
146. C22×D4×C17C23semidirect
147. C22×D4×C17C23semidirect
148. C22×D4×C17C23semidirect
149. C22×D4×C17C23semidirect
150. C22×D4×C17C23semidirect
152. C23×C4×C17C23semidirect
168. C22×C22⋊D17C23semidirect
169. C22×C22⋊D17C23semidirect
170. C22×C22⋊D17C23semidirect
171. C22×C22⋊D17C23semidirect
172. C22×C22⋊D17C23semidirect
175. C23×Dic17C23semidirect
176. C23×Dic17C23semidirect
177. C23×Dic17C23semidirect
180. C2×#63254C23semidirect
181. C2×#63254C23semidirect
184. C2×D4×D17C23semidirect
185. C2×D4×D17C23semidirect
190. C22×C4×D17C23semidirect
191. C22×Dic34C23semidirect
192. C22×Dic34C23semidirect
193. C17×#127C23semidirect
194. C17×#121C23semidirect
195. C17×#121C23semidirect
197. C17×#120C23semidirect
198. C17×#120C23semidirect
199. C4×D4×C17C23semidirect
200. C2×C4⋊C4×C17C23semidirect
203. C2×C22⋊C4×C17C23semidirect
204. C2×C22⋊C4×C17C23semidirect
205. C2×C22⋊C4×C17C23semidirect
206. C2×C42×C17C23semidirect
207. #10587639C23semidirect
208. #10587639C23semidirect
209. #10587639C23semidirect
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. C2×C22⋊Dic17C23semidirect
224. C2×C22⋊Dic17C23semidirect
225. #10587626C23semidirect
226. #10587626C23semidirect
227. #10587625C23semidirect
228. #10587625C23semidirect
229. #10587625C23semidirect
230. #10587625C23semidirect
231. #10587625C23semidirect
232. #10587625C23semidirect
233. #10587625C23semidirect
234. #10587625C23semidirect
235. #10587624C23semidirect
236. #10587624C23semidirect
238. #10587623C23semidirect
239. #10587623C23semidirect
240. #10587623C23semidirect
241. #10587623C23semidirect
242. #10587623C23semidirect
243. #10587623C23semidirect
244. #10587623C23semidirect
245. #10587623C23semidirect
246. #10587623C23semidirect
247. #10587623C23semidirect
248. #10587622C23semidirect
249. #10587622C23semidirect
250. #10587621C23semidirect
251. #10587621C23semidirect
252. #10587621C23semidirect
253. #10587621C23semidirect
254. D4×Dic17C23semidirect
255. D4×Dic17C23semidirect
256. #10587616C23semidirect
257. #10587615C23semidirect
258. #10587615C23semidirect
259. C4×C22⋊D17C23semidirect
260. C4×C22⋊D17C23semidirect
272. C2×#63227C23semidirect
273. C2×#63227C23semidirect
274. C2×#63227C23semidirect
275. C2×C4⋊Dic17C23semidirect
276. C2×C4⋊Dic17C23semidirect
277. #10587610C23semidirect
278. C2×#63225C23semidirect
279. C2×#63225C23semidirect
280. C2×#63225C23semidirect
281. C2×#63225C23semidirect
282. C2×#63225C23semidirect
283. C2×#63225C23semidirect
284. C2×C4×Dic17C23semidirect
285. C2×C4×Dic17C23semidirect
286. C2×C4×Dic17C23semidirect
287. #10587584C23semidirect
288. #10587584C23semidirect
289. #10587582C23semidirect
290. #10587580C23semidirect
291. #10587572C23semidirect
292. #10587572C23semidirect
293. #10587571C23semidirect
294. #10587571C23semidirect
295. #10587571C23semidirect
296. #10587571C23semidirect
297. #10587570C23semidirect
298. #10587570C23semidirect
299. #10587569C23semidirect
300. #10587568C23semidirect
301. #10587568C23semidirect
302. #10587567C23semidirect
303. C22⋊C4×D17C23semidirect
304. C22⋊C4×D17C23semidirect
305. C22⋊C4×D17C23semidirect
306. #10587565C23semidirect
307. #10587564C23semidirect
308. #10587563C23semidirect
309. #10587562C23semidirect
310. #10587561C23semidirect
311. #10587558C23semidirect
326. C24×C17C24semidirect
368. C2×D4×C17C24semidirect
369. C2×D4×C17C24semidirect
370. C2×D4×C17C24semidirect
378. C22×C4×C17C24semidirect
408. C2×C22⋊D17C24semidirect
409. C2×C22⋊D17C24semidirect
423. C22×Dic17C24semidirect
424. C22×Dic17C24semidirect
425. C22×Dic17C24semidirect
439. C2×C4×D17C24semidirect
442. C2×Dic34C24semidirect
443. C2×Dic34C24semidirect
444. C4⋊C4×C17C24semidirect
447. C22⋊C4×C17C24semidirect
448. C22⋊C4×C17C24semidirect
449. C22⋊C4×C17C24semidirect
450. C42×C17C24semidirect
457. C22⋊Dic17C24semidirect
458. C22⋊Dic17C24semidirect
459. C22⋊Dic17C24semidirect
460. C22⋊Dic17C24semidirect
461. C22⋊Dic17C24semidirect
462. C22⋊Dic17C24semidirect
474. #63227C24semidirect
475. C4⋊Dic17C24semidirect
476. C4⋊Dic17C24semidirect
477. #63225C24semidirect
478. #63225C24semidirect
479. #63225C24semidirect
480. #63225C24semidirect
481. #63225C24semidirect
482. #63225C24semidirect
483. C4×Dic17C24semidirect
484. C4×Dic17C24semidirect
485. C4×Dic17C24semidirect
614. C2×D42D17semidirect
684. C23×D4C2×D17semidirect
685. C23×D4C2×D17semidirect
695. D42C2×D17semidirect
705. C2×#127C2×D17semidirect
743. C2×#121C2×D17semidirect
744. C2×#121C2×D17semidirect
765. C2×#120C2×D17semidirect
766. C2×#120C2×D17semidirect
772. C2×C4×D4C2×D17semidirect
787. C2×C17#3532semidirect
804. C25C22×D17semidirect
845. C22×D4C22×D17semidirect
846. C22×D4C22×D17semidirect
847. C22×D4C22×D17semidirect
848. C22×D4C22×D17semidirect
849. C22×D4C22×D17semidirect
859. C23×C4C22×D17semidirect
862. #127C22×D17semidirect
900. #121C22×D17semidirect
901. #121C22×D17semidirect
920. #120C22×D17semidirect
921. #120C22×D17semidirect
927. C4×D4C22×D17semidirect
938. C2×C4⋊C4C22×D17semidirect
972. C2×C22⋊C4C22×D17semidirect
973. C2×C22⋊C4C22×D17semidirect
974. C2×C22⋊C4C22×D17semidirect
978. C2×C42C22×D17semidirect
979. C17C2×#3532semidirect
1018. C24C23×D17semidirect
1079. C2×D4C23×D17semidirect
1080. C2×D4C23×D17semidirect
1081. C2×D4C23×D17semidirect
1111. C22×C4C23×D17semidirect
1120. C4⋊C4C23×D17semidirect
1147. C22⋊C4C23×D17semidirect
1148. C22⋊C4C23×D17semidirect
1149. C22⋊C4C23×D17semidirect
1153. C42C23×D17semidirect
1332. C2#14542934direct (N × H)

Maximal subgroups

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

subgroupindex
#145429342
C2×#117635522
C2×#117635472
C2×#117635462
C2×#117634902
C2×#117634882
C2×#117634532
C2×#117634482
C2×#117634462
C2×D4×C22⋊D172
C2×#117633962
C2×#117633922
C2×#117633912
C2×#117633742
C2×#117633722
C2×#117633692
C2×#117633682
C22×#105876232
C2×#120×D172
C2×D42×C172
C2×#353217