Finite Group Databasebeta

← #17241283

Subgroups — #17241283

Order 4352.

3394 conjugacy classes of subgroups.

The subgroup lattice has 2116 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11763369C211yesmaximal, characteristic, complemented
2C2×#121×D17C211yesmaximal, characteristic, complemented
3#14537065C211yesmaximal, characteristic, complemented
4#14537063C211yesmaximal, characteristic, complemented
5#14535434C211yesmaximal, characteristic, complemented
6#14535433C211yesmaximal, characteristic, complemented
7#14535432C211yesmaximal, characteristic, complemented
8#14535431C211yesmaximal, characteristic, complemented
9#14535425C211yesmaximal, characteristic, complemented
10#14535423C211yesmaximal, characteristic, complemented
11#14535422C211yesmaximal, characteristic, complemented
12#14535420C211yesmaximal, characteristic, complemented
13#14535003C211yesmaximal, characteristic, complemented
14#14535001C211yesmaximal, characteristic, complemented
15#14535000C211yesmaximal, characteristic, complemented
16#14534998C211yesmaximal, characteristic, complemented
17#14534998C211yesmaximal, characteristic, complemented
18#14534997C211yesmaximal, characteristic, complemented
19#14534996C211yesmaximal, characteristic, complemented
20#14534523C211yesmaximal, characteristic, complemented
21#14534517C211yesmaximal, characteristic, complemented
22#14534262C211yesmaximal, characteristic, complemented
23#14534258C211yesmaximal, characteristic, complemented
24#14532418C211yesmaximal, characteristic, complemented
25#14532416C211yesmaximal, characteristic, complemented
26#14532095C211yesmaximal, characteristic, complemented
27#14532095C211yesmaximal, characteristic, complemented
28#14532093C211yesmaximal, characteristic, complemented
29#14532093C211yesmaximal, characteristic, complemented
30#14531378C211yesmaximal, characteristic, complemented
31C17×#2669C211yesmaximal, characteristic, complemented
32C23×C22⋊D17C2211yescharacteristic
33C22×D4×D17C2211yescharacteristic
34C22×D4×D17C2211yescharacteristic
35C22×D4×D17C2211yescharacteristic
36C22×D4×D17C2211yescharacteristic, complemented
37C23×C4×D17C2211yescharacteristic, complemented
38#11763369—28no—
39C2×#10587626C2211yescharacteristic, complemented
40C2×#10587626C2211yescharacteristic, complemented
41C2×#10587626C2211yescharacteristic, complemented
42C2×#10587572C2211yescharacteristic, complemented
43C2×#10587569C2211yescharacteristic, complemented
44C2×#10587569C2211yescharacteristic, complemented
45C2×#10587621C2211yescharacteristic, complemented
46C2×#10587581C2211yescharacteristic, complemented
47C2×#10587616C2211yescharacteristic, complemented
48C2×#10587570C2211yescharacteristic
49C2×#10587570C2211yescharacteristic
50C2×#10587570C2211yescharacteristic, complemented
51C2×#10587570C2211yescharacteristic, complemented
52C2×#10587570C2211yescharacteristic, complemented
53C2×#10587625C2211yescharacteristic, complemented
54C2×#10587625C2211yescharacteristic, complemented
55C2×#10587625C2211yescharacteristic, complemented
56C2×#10587624C2211yescharacteristic
57C2×#10587624C2211yescharacteristic
58C2×#10587624C2211yescharacteristic, complemented
59C2×#10587624C2211yescharacteristic, complemented
60#121×D17—28no—
61C2×#10587568C2211yescharacteristic, complemented
62C2×#10587568C2211yescharacteristic, complemented
63C2×#10587568C2211yescharacteristic, complemented
64C2×#10587568C2211yescharacteristic, complemented
65C2×#10587639C2211yescharacteristic, complemented
66C2×#10587639C2211yescharacteristic, complemented
67C2×#10587639C2211yescharacteristic, complemented
68C2×#10587623C2211yescharacteristic, complemented
69C2×#10587623C2211yescharacteristic, complemented
70C2×#10587623C2211yescharacteristic, complemented
71C2×#10587623C2211yescharacteristic, complemented
72C2×#10587623C2211yescharacteristic, complemented
73C2×#10587623C2211yescharacteristic, complemented
74C2×#10587623C2211yescharacteristic, complemented
75C2×#10587623C2211yescharacteristic, complemented
76C2×#10587623C2211yescharacteristic, complemented
77C2×#10587623C2211yescharacteristic, complemented
78C2×C4⋊C4×D17C2211yescharacteristic, complemented
79C2×C22⋊C4×D17C2211yescharacteristic
80C2×C22⋊C4×D17C2211yescharacteristic, complemented
81#11762751C2211yescharacteristic, complemented
82#11762750C2211yescharacteristic, complemented
83#11762749C2211yescharacteristic, complemented
84#11762748C2211yescharacteristic, complemented
85#11762738C2211yescharacteristic, complemented
86#11762737C2211yescharacteristic, complemented
87#11762736C2211yescharacteristic, complemented
88#11762734C2211yescharacteristic, complemented
89#11762726C2211yescharacteristic, complemented
90#11762725C2211yescharacteristic, complemented
91#11762725C2211yescharacteristic, complemented
92#11762725C2211yescharacteristic, complemented
93#11762724C2211yescharacteristic, complemented
94#11762724C2211yescharacteristic, complemented
95#11762724C2211yescharacteristic, complemented
96#11762723C2211yescharacteristic, complemented
97#11762723C2211yescharacteristic, complemented
98#11762723C2211yescharacteristic, complemented
99#11762719C2211yescharacteristic, complemented
100#11762718C2211yescharacteristic, complemented
101#11762718C2211yescharacteristic, complemented
102#11762718C2211yescharacteristic, complemented
103#11762718C2211yescharacteristic, complemented
104#11762718C2211yescharacteristic, complemented
105#11762718C2211yescharacteristic, complemented
106#11762718C2211yescharacteristic, complemented
107#11762718C2211yescharacteristic, complemented
108#11762717C2211yescharacteristic, complemented
109#11762717C2211yescharacteristic, complemented
110#11762717C2211yescharacteristic, complemented
111#11762717C2211yescharacteristic, complemented
112#11762717C2211yescharacteristic, complemented
113#11762717C2211yescharacteristic, complemented
114#11762717C2211yescharacteristic, complemented
115#11762717C2211yescharacteristic, complemented
116#11762717C2211yescharacteristic, complemented
117#11762717C2211yescharacteristic, complemented
118#11762717C2211yescharacteristic, complemented
119#11762717C2211yescharacteristic, complemented
120#11762717C2211yescharacteristic, complemented
121#11762717C2211yescharacteristic, complemented
122#11762717C2211yescharacteristic, complemented
123#11762712C2211yescharacteristic, complemented
124#11762711C2211yescharacteristic, complemented
125#11762709C2211yescharacteristic, complemented
126#11762709C2211yescharacteristic, complemented
127#11762703C2211yescharacteristic, complemented
128#11762703C2211yescharacteristic, complemented
129#11762702C2211yescharacteristic, complemented
130#11762702C2211yescharacteristic, complemented
131#11762702C2211yescharacteristic, complemented
132#11762701C2211yescharacteristic, complemented
133#11762700C2211yescharacteristic, complemented
134#11762700C2211yescharacteristic, complemented
135#11762699C2211yescharacteristic, complemented
136#11762699C2211yescharacteristic, complemented
137#11762698C2211yescharacteristic, complemented
138#11762697C2211yescharacteristic, complemented
139#11762697C2211yescharacteristic, complemented
140#11762697C2211yescharacteristic, complemented
141#11762689C2211yescharacteristic, complemented
142#11762689C2211yescharacteristic, complemented
143#11762689C2211yescharacteristic, complemented
144#11762689C2211yescharacteristic, complemented
145#11762688C2211yescharacteristic, complemented
146#11762687C2211yescharacteristic, complemented
147#11762687C2211yescharacteristic, complemented
148#11762687C2211yescharacteristic, complemented
149#11762687C2211yescharacteristic, complemented
150#11762687C2211yescharacteristic, complemented
151#11762686C2211yescharacteristic, complemented
152#11762686C2211yescharacteristic, complemented
153#11762685C2211yescharacteristic, complemented
154#11762685C2211yescharacteristic, complemented
155#11762685C2211yescharacteristic, complemented
156#11762685C2211yescharacteristic, complemented
157#11762685C2211yescharacteristic, complemented
158#11762685C2211yescharacteristic, complemented
159#11762685C2211yescharacteristic, complemented
160#11762685C2211yescharacteristic, complemented
161#11762685C2211yescharacteristic, complemented
162#11762685C2211yescharacteristic, complemented
163#11762685C2211yescharacteristic, complemented
164#11762669C2211yescharacteristic, complemented
165#11762668C2211yescharacteristic, complemented
166#11762668C2211yescharacteristic, complemented
167#11762667C2211yescharacteristic, complemented
168#11762666C2211yescharacteristic, complemented
169#11762666C2211yescharacteristic, complemented
170#11762664C2211yescharacteristic
171#11762664C2211yescharacteristic
172C4×#63227C2211yescharacteristic, complemented
173#11762656C2211yescharacteristic, complemented
174C2×C17×#127C2211yescharacteristic, complemented
175C2×C17×#121C2211yescharacteristic, complemented
176C2×C17×#121C2211yescharacteristic, complemented
177C2×C17×#120C2211yescharacteristic, complemented
178C2×C17×#120C2211yescharacteristic, complemented
179C2×C17×#120C2211yescharacteristic, complemented
180C17×#394C2211yescharacteristic, complemented
181C17×#394C2211yescharacteristic, complemented
182C17×#392C2211yescharacteristic, complemented
183C17×#392C2211yescharacteristic, complemented
184C17×#392C2211yescharacteristic, complemented
185C17×#392C2211yescharacteristic, complemented
186C17×#388C2211yescharacteristic, complemented
187C17×#388C2211yescharacteristic, complemented
188C17×#386C2211yescharacteristic, complemented
189C25×C17C2311yescharacteristic
190C24×D17C2311yescharacteristic
191C24×D17C2311yescharacteristic
192C24×D17C2311yescharacteristic
193C24×D17C2311yescharacteristic
194C22×D4×C17C2311yescharacteristic
195C22×D4×C17C2311yescharacteristic
196C22×D4×C17C2311yescharacteristic
197C22×D4×C17C2311yescharacteristic
198C22×D4×C17C2311yescharacteristic
199C22×D4×C17C2311yescharacteristic
200C22×D4×C17C2311yescharacteristic
201C22×D4×C17C2311yescharacteristic
202C22×D4×C17C2311yescharacteristic
203C22×D4×C17C2311yescharacteristic
204C22×D4×C17C2311yescharacteristic
205C22×D4×C17C2311yescharacteristic
206C23×C4×C17C2311yescharacteristic
207C22×C22⋊D17—24no—
208C22×C22⋊D17—42no—
209C22×C22⋊D17—42no—
210C22×C22⋊D17C2311yescharacteristic
211C22×C22⋊D17C2311yescharacteristic
212C22×C22⋊D17C2311yescharacteristic
213C22×C22⋊D17C2311yescharacteristic
214C22×C22⋊D17C2311yescharacteristic
215C22×C22⋊D17C2311yescharacteristic
216C22×C22⋊D17C2311yescharacteristic
217C22×C22⋊D17C2311yescharacteristic
218C22×C22⋊D17C2311yescharacteristic
219C22×C22⋊D17C2311yescharacteristic
220C22×C22⋊D17C2311yescharacteristic
221C22×C22⋊D17C2311yescharacteristic
222C22×C22⋊D17C2311yescharacteristic
223C22×C22⋊D17C2311yescharacteristic
224C22×C22⋊D17C2311yescharacteristic
225C22×C22⋊D17C2311yescharacteristic
226C22×C22⋊D17C2311yescharacteristic
227C22×C22⋊D17C2311yescharacteristic
228C22×C22⋊D17C2311yescharacteristic
229C22×C22⋊D17C2311yescharacteristic
230C22×C22⋊D17C2311yescharacteristic
231C22×C22⋊D17C2311yescharacteristic
232C23×Dic17C2311yescharacteristic
233C23×Dic17C2311yescharacteristic
234C2×D4×D17—24no—
235C2×D4×D17—24no—
236C2×D4×D17—24no—
237C2×D4×D17—24no—
238C2×D4×D17—42no—
239C2×D4×D17—42no—
240C2×D4×D17—42no—
241C2×D4×D17—42no—
242C2×D4×D17—42no—
243C2×D4×D17—42no—
244C2×D4×D17—42no—
245C2×D4×D17—42no—
246C22×D68C2311yescharacteristic
247C22×D68C2311yescharacteristic
248C22×D68C2311yescharacteristic
249C22×D68C2311yescharacteristic
250C22×D68C2311yescharacteristic
251C22×D68C2311yescharacteristic
252C22×C4×D17—24no—
253C22×C4×D17—42no—
254C22×C4×D17—42no—
255C22×C4×D17C2311yescharacteristic
256C22×C4×D17C2311yescharacteristic
257C22×C4×D17C2311yescharacteristic
258C22×C4×D17C2311yescharacteristic
259C22×C4×D17C2311yescharacteristic
260C22×C4×D17C2311yescharacteristic
261C22×C4×D17C2311yescharacteristic
262C17×#127—42no—
263C17×#121—24no—
264C17×#121—42no—
265C17×#120—24no—
266C17×#120—42no—
267C17×#120—42no—
268C2×C4⋊C4×C17C2311yescharacteristic
269C2×C4⋊C4×C17C2311yescharacteristic
270C2×C22⋊C4×C17C2311yescharacteristic
271C2×C22⋊C4×C17C2311yescharacteristic
272C2×C22⋊C4×C17C2311yescharacteristic
273C2×C22⋊C4×C17C2311yescharacteristic
274C2×C22⋊C4×C17C2311yescharacteristic
275C2×C22⋊C4×C17C2311yescharacteristic
276C2×C22⋊C4×C17C2311yescharacteristic
277C2×C22⋊C4×C17C2311yescharacteristic
278C2×C22⋊C4×C17C2311yescharacteristic
279C2×C22⋊C4×C17C2311yescharacteristic
280C2×C22⋊C4×C17C2311yescharacteristic
281C2×C22⋊C4×C17C2311yescharacteristic
282C2×C22⋊C4×C17C2311yescharacteristic
283C2×C22⋊C4×C17C2311yescharacteristic
284C2×C42×C17C2311yescharacteristic
285#10587639—24no—
286#10587639—42no—
287#10587639—42no—
288C2×C22⋊Dic17C2311yescharacteristic
289C2×C22⋊Dic17C2311yescharacteristic
290C2×C22⋊Dic17C2311yescharacteristic
291C2×C22⋊Dic17C2311yescharacteristic
292C2×C22⋊Dic17C2311yescharacteristic
293C2×C22⋊Dic17C2311yescharacteristic
294C2×C22⋊Dic17C2311yescharacteristic
295C2×C22⋊Dic17C2311yescharacteristic
296C2×C22⋊Dic17C2311yescharacteristic
297C2×C22⋊Dic17C2311yescharacteristic
298C2×C22⋊Dic17C2311yescharacteristic
299C2×C22⋊Dic17C2311yescharacteristic
300C2×C22⋊Dic17C2311yescharacteristic
301C2×C22⋊Dic17C2311yescharacteristic
302C2×C22⋊Dic17C2311yescharacteristic
303C2×C22⋊Dic17C2311yescharacteristic
304C2×C22⋊Dic17C2311yescharacteristic
305C2×C22⋊Dic17C2311yescharacteristic
306C2×C22⋊Dic17C2311yescharacteristic
307C2×C22⋊Dic17C2311yescharacteristic
308#10587626—42no—
309#10587626—42no—
310#10587626—42no—
311#10587625—24no—
312#10587625—24no—
313#10587625—42no—
314#10587624—24no—
315#10587624—24no—
316#10587624—24no—
317#10587624—42no—
318#10587623—24no—
319#10587623—24no—
320#10587623—42no—
321#10587623—42no—
322#10587623—42no—
323#10587623—42no—
324#10587623—42no—
325#10587623—42no—
326#10587623—42no—
327#10587623—42no—
328#10587621—24no—
329#10587616—24no—
330C2×#63227C2311yescharacteristic
331C2×#63227C2311yescharacteristic
332C2×#63227C2311yescharacteristic
333C2×#63227C2311yescharacteristic
334C2×#63227C2311yescharacteristic
335C2×#63227C2311yescharacteristic
336C2×#63227C2311yescharacteristic
337C2×#63227C2311yescharacteristic
338C2×#63227C2311yescharacteristic
339C2×#63227C2311yescharacteristic
340C2×#63227C2311yescharacteristic
341C2×#63227C2311yescharacteristic
342C2×#63227C2311yescharacteristic
343C2×#63227C2311yescharacteristic
344C2×#63227C2311yescharacteristic
345C2×#63227C2311yescharacteristic
346C2×#63227C2311yescharacteristic
347C2×#63227C2311yescharacteristic
348C2×#63227C2311yescharacteristic
349C2×#63227C2311yescharacteristic
350C2×#63227C2311yescharacteristic
351C2×#63227C2311yescharacteristic
352C2×#63227C2311yescharacteristic
353C2×#63227C2311yescharacteristic
354C2×#63227C2311yescharacteristic
355C2×#63227C2311yescharacteristic
356C2×C4⋊Dic17C2311yescharacteristic
357C2×C4⋊Dic17C2311yescharacteristic
358C2×C4⋊Dic17C2311yescharacteristic
359C2×C4⋊Dic17C2311yescharacteristic
360C2×#63225C2311yescharacteristic
361C2×#63225C2311yescharacteristic
362C2×#63225C2311yescharacteristic
363C2×#63225C2311yescharacteristic
364C2×#63225C2311yescharacteristic
365C2×#63225C2311yescharacteristic
366C2×C4×Dic17C2311yescharacteristic
367C2×C4×Dic17C2311yescharacteristic
368C2×C4×Dic17C2311yescharacteristic
369#10587581—24no—
370C4⋊C4×D17—24no—
371#10587572—24no—
372#10587570—24no—
373#10587570—24no—
374#10587570—24no—
375#10587570—24no—
376#10587570—42no—
377#10587569—24no—
378#10587569—24no—
379#10587568—42no—
380#10587568—42no—
381#10587568—42no—
382#10587568—42no—
383C22⋊C4×D17—24no—
384C22⋊C4×D17D418yescomplemented
385C17×#95C2311yescharacteristic
386C17×#95C2311yescharacteristic
387C17×#95C2311yescharacteristic
388C17×#95C2311yescharacteristic
389#10587502C2311yescharacteristic
390#10587502C2311yescharacteristic
391#10587502C2311yescharacteristic
392#10587502C2311yescharacteristic
393#10587502C2311yescharacteristic
394#10587502C2311yescharacteristic
395#10587502C2311yescharacteristic
396#10587502C2311yescharacteristic
397#10587502C2311yescharacteristic
398#10587502C2311yescharacteristic
399#10587502C2311yescharacteristic
400#10587502C2311yescharacteristic
401#10587502C2311yescharacteristic
402#10587502C2311yescharacteristic
403#10587502C2311yescharacteristic
404#10587502C2311yescharacteristic
405#10587502C2311yescharacteristic
406#10587502C2311yescharacteristic
407#10587502C2311yescharacteristic
408#10587502C2311yescharacteristic
409C24×C17—22no—
410C24×C17—41no—
411C24×C17—41no—
412C24×C17—41no—
413C24×C17—41no—
414C24×C17—41no—
415C24×C17—41no—
416C24×C17C2411yescharacteristic
417C24×C17C2411yescharacteristic
418C24×C17C2411yescharacteristic
419C24×C17C2411yescharacteristic
420C24×C17C2411yescharacteristic
421C24×C17C2411yescharacteristic
422C23×D17—22no—
423C23×D17—22no—
424C23×D17—22no—
425C23×D17—22no—
426C23×D17—22no—
427C23×D17—22no—
428C23×D17—22no—
429C23×D17—22no—
430C23×D17—22no—
431C23×D17—22no—
432C23×D17—22no—
433C23×D17—41no—
434C23×D17—41no—
435C23×D17—41no—
436C23×D17—41no—
437C23×D17—41no—
438C23×D17—41no—
439C23×D17—41no—
440C23×D17—41no—
441C23×D17—41no—
442C23×D17—41no—
443C23×D17—41no—
444C23×D17—41no—
445C23×D17—41no—
446C23×D17—41no—
447C23×D17—41no—
448C23×D17—41no—
449C23×D17C2×D414yes—
450C23×D17C2411yescharacteristic
451C23×D17C2411yescharacteristic
452C23×D17C2411yescharacteristic
453C23×D17C2411yescharacteristic
454C23×D17C2411yescharacteristic
455C2×D4×C17—22no—
456C2×D4×C17—22no—
457C2×D4×C17—22no—
458C2×D4×C17—22no—
459C2×D4×C17—22no—
460C2×D4×C17—22no—
461C2×D4×C17—22no—
462C2×D4×C17—22no—
463C2×D4×C17—22no—
464C2×D4×C17—22no—
465C2×D4×C17—22no—
466C2×D4×C17—22no—
467C2×D4×C17—41no—
468C2×D4×C17—41no—
469C2×D4×C17—41no—
470C2×D4×C17—41no—
471C2×D4×C17—41no—
472C2×D4×C17—41no—
473C2×D4×C17—41no—
474C2×D4×C17—41no—
475C2×D4×C17—41no—
476C2×D4×C17—41no—
477C2×D4×C17—41no—
478C2×D4×C17—41no—
479C2×D4×C17—41no—
480C2×D4×C17—41no—
481C2×D4×C17—41no—
482C2×D4×C17—41no—
483C2×D4×C17—41no—
484C2×D4×C17—41no—
485C2×D4×C17—41no—
486C2×D4×C17—41no—
487C2×D4×C17—41no—
488C2×D4×C17—41no—
489C2×D4×C17—41no—
490C2×D4×C17—41no—
491C22×C4×C17—22no—
492C22×C4×C17—22no—
493C22×C4×C17—41no—
494C22×C4×C17C2411yescharacteristic
495C22×C4×C17C2411yescharacteristic
496C22×C4×C17C2411yescharacteristic
497C22×C4×C17C2411yescharacteristic
498C22×C4×C17C2411yescharacteristic
499C22×C4×C17C2411yescharacteristic
500C22×C4×C17C2411yescharacteristic
501C22×C4×C17C2411yescharacteristic
502C22×C4×C17C2411yescharacteristic
503C2×C22⋊D17—22no—
504C2×C22⋊D17—22no—
505C2×C22⋊D17—22no—
506C2×C22⋊D17—22no—
507C2×C22⋊D17—22no—
508C2×C22⋊D17—22no—
509C2×C22⋊D17—22no—
510C2×C22⋊D17—22no—
511C2×C22⋊D17—22no—
512C2×C22⋊D17—22no—
513C2×C22⋊D17—22no—
514C2×C22⋊D17—22no—
515C2×C22⋊D17—22no—
516C2×C22⋊D17—22no—
517C2×C22⋊D17—22no—
518C2×C22⋊D17—22no—
519C2×C22⋊D17—22no—
520C2×C22⋊D17—22no—
521C2×C22⋊D17—22no—
522C2×C22⋊D17—22no—
523C2×C22⋊D17—22no—
524C2×C22⋊D17—22no—
525C2×C22⋊D17—22no—
526C2×C22⋊D17—22no—
527C2×C22⋊D17—22no—
528C2×C22⋊D17—22no—
529C2×C22⋊D17—22no—
530C2×C22⋊D17—22no—
531C2×C22⋊D17—22no—
532C2×C22⋊D17—22no—
533C2×C22⋊D17—41no—
534C2×C22⋊D17—41no—
535C2×C22⋊D17—41no—
536C2×C22⋊D17—41no—
537C2×C22⋊D17—41no—
538C2×C22⋊D17—41no—
539C2×C22⋊D17—41no—
540C2×C22⋊D17—41no—
541C2×C22⋊D17—41no—
542C2×C22⋊D17—41no—
543C2×C22⋊D17—41no—
544C2×C22⋊D17—41no—
545C2×C22⋊D17—41no—
546C2×C22⋊D17—41no—
547C2×C22⋊D17—41no—
548C2×C22⋊D17—41no—
549C2×C22⋊D17—41no—
550C2×C22⋊D17—41no—
551C2×C22⋊D17—41no—
552C2×C22⋊D17—41no—
553C2×C22⋊D17—41no—
554C2×C22⋊D17—41no—
555C2×C22⋊D17—41no—
556C2×C22⋊D17—41no—
557C2×C22⋊D17—41no—
558C2×C22⋊D17—41no—
559C2×C22⋊D17—41no—
560C2×C22⋊D17—41no—
561C2×C22⋊D17—41no—
562C2×C22⋊D17—41no—
563C2×C22⋊D17—41no—
564C2×C22⋊D17—41no—
565C2×C22⋊D17—41no—
566C2×C22⋊D17—41no—
567C2×C22⋊D17—41no—
568C2×C22⋊D17—41no—
569C2×C22⋊D17—416no—
570C22×Dic17—22no—
571C22×Dic17—22no—
572C22×Dic17—22no—
573C22×Dic17—41no—
574C22×Dic17—41no—
575C22×Dic17—41no—
576C22×Dic17C2411yescharacteristic
577C22×Dic17C2411yescharacteristic
578C22×Dic17C2411yescharacteristic
579C22×Dic17C2411yescharacteristic
580C22×Dic17C2411yescharacteristic
581C22×Dic17C2411yescharacteristic
582C22×Dic17C2411yescharacteristic
583C22×Dic17C2411yescharacteristic
584C22×Dic17C2411yescharacteristic
585C22×Dic17C2411yescharacteristic
586C22×Dic17C2411yescharacteristic
587D4×D17—416no—
588D4×D17—416no—
589D4×D17—416no—
590D4×D17—416no—
591C2×D68—22no—
592C2×D68—22no—
593C2×D68—22no—
594C2×D68—22no—
595C2×D68—22no—
596C2×D68—22no—
597C2×D68—22no—
598C2×D68—22no—
599C2×D68—22no—
600C2×D68—22no—
601C2×D68—41no—
602C2×D68—41no—
603C2×D68—41no—
604C2×D68—41no—
605C2×D68—41no—
606C2×D68—41no—
607C2×D68—41no—
608C2×D68—41no—
609C2×C4×D17—22no—
610C2×C4×D17—22no—
611C2×C4×D17—22no—
612C2×C4×D17—22no—
613C2×C4×D17—22no—
614C2×C4×D17—22no—
615C2×C4×D17—22no—
616C2×C4×D17—22no—
617C2×C4×D17—22no—
618C2×C4×D17—416no—
619C2×C4×D17—41no—
620C2×C4×D17—41no—
621C2×C4×D17—41no—
622C2×C4×D17—41no—
623C2×C4×D17—41no—
624C2×C4×D17—41no—
625C2×C4×D17—41no—
626C2×C4×D17—41no—
627C2×C4×D17—41no—
628C2×C4×D17—41no—
629C2×C4×D17C2×D414yes—
630C2×C4×D17C2×D414yes—
631C4⋊C4×C17—22no—
632C4⋊C4×C17—41no—
633C22⋊C4×C17—22no—
634C22⋊C4×C17—22no—
635C22⋊C4×C17—22no—
636C22⋊C4×C17—22no—
637C22⋊C4×C17—22no—
638C22⋊C4×C17—22no—
639C22⋊C4×C17—41no—
640C22⋊C4×C17—41no—
641C22⋊C4×C17—41no—
642C22⋊C4×C17—41no—
643C22⋊C4×C17—41no—
644C22⋊C4×C17—41no—
645C22⋊C4×C17—41no—
646C22⋊C4×C17C2×D414yes—
647C42×C17—41no—
648C22⋊Dic17—22no—
649C22⋊Dic17—22no—
650C22⋊Dic17—22no—
651C22⋊Dic17—22no—
652C22⋊Dic17—22no—
653C22⋊Dic17—22no—
654C22⋊Dic17—22no—
655C22⋊Dic17—22no—
656C22⋊Dic17—41no—
657C22⋊Dic17—41no—
658C22⋊Dic17—41no—
659C22⋊Dic17—41no—
660C22⋊Dic17—41no—
661C22⋊Dic17—41no—
662C22⋊Dic17—41no—
663C22⋊Dic17—41no—
664C22⋊Dic17—41no—
665C22⋊Dic17—41no—
666C22⋊Dic17—41no—
667C22⋊Dic17C2×D414yes—
668#63227—22no—
669#63227—22no—
670#63227—22no—
671#63227—22no—
672#63227—22no—
673#63227—22no—
674#63227—22no—
675#63227—22no—
676#63227—22no—
677#63227—22no—
678#63227—41no—
679#63227—41no—
680#63227—41no—
681#63227—41no—
682#63227—41no—
683#63227—41no—
684#63227—41no—
685#63227—41no—
686#63227—41no—
687#63227—41no—
688#63227—41no—
689#63227—41no—
690#63227—41no—
691#63227—41no—
692#63227C2×D414yes—
693#63227C2×D414yes—
694C4⋊Dic17—22no—
695C4⋊Dic17—22no—
696C4⋊Dic17—22no—
697C4⋊Dic17—41no—
698#63225—22no—
699#63225—22no—
700#63225—22no—
701#63225—22no—
702#63225—41no—
703#63225—41no—
704C4×Dic17—41no—
705C4×Dic17—41no—
706C4×Dic17—41no—
707#36717—171nomaximal, Sylow
708C23×C17—21no—
709C23×C17—21no—
710C23×C17—21no—
711C23×C17—21no—
712C23×C17—21no—
713C23×C17—21no—
714C23×C17—21no—
715C23×C17—21no—
716C23×C17—21no—
717C23×C17—21no—
718C23×C17—21no—
719C23×C17—21no—
720C23×C17—21no—
721C23×C17—21no—
722C23×C17—21no—
723C23×C17—21no—
724C23×C17—21no—
725C23×C17—21no—
726C23×C17—21no—
727C23×C17—21no—
728C23×C17—21no—
729C23×C17—21no—
730C23×C17—21no—
731C23×C17—21no—
732C23×C17—21no—
733C23×C17—21no—
734C23×C17—21no—
735C23×C17—21no—
736C23×C17—21no—
737C23×C17—21no—
738C23×C17—21no—
739C23×C17—21no—
740C23×C17—21no—
741C23×C17—21no—
742C23×C17—21no—
743C23×C17—21no—
744C23×C17—21no—
745C23×C17—21no—
746C23×C17—21no—
747C23×C17—21no—
748C23×C17—44no—
749C23×C17—82no—
750C23×C17—82no—
751C23×C17—82no—
752C23×C17—82no—
753C23×C17—82no—
754C23×C17—82no—
755C23×C17C22×D412yes—
756C23×C17H(5,𝔽2)12yes—
757C23×C17C2511yescharacteristic
758C22×D17—21no—
759C22×D17—21no—
760C22×D17—21no—
761C22×D17—21no—
762C22×D17—28no—
763C22×D17—21no—
764C22×D17—21no—
765C22×D17—21no—
766C22×D17—21no—
767C22×D17—21no—
768C22×D17—21no—
769C22×D17—21no—
770C22×D17—21no—
771C22×D17—21no—
772C22×D17—21no—
773C22×D17—21no—
774C22×D17—21no—
775C22×D17—28no—
776C22×D17—21no—
777C22×D17—21no—
778C22×D17—21no—
779C22×D17—21no—
780C22×D17—21no—
781C22×D17—21no—
782C22×D17—21no—
783C22×D17—21no—
784C22×D17—21no—
785C22×D17—21no—
786C22×D17—21no—
787C22×D17—21no—
788C22×D17—21no—
789C22×D17—21no—
790C22×D17—44no—
791C22×D17—44no—
792C22×D17—44no—
793C22×D17—44no—
794C22×D17—44no—
795C22×D17—44no—
796C22×D17—44no—
797C22×D17—44no—
798C22×D17—44no—
799C22×D17—44no—
800C22×D17—44no—
801C22×D17—44no—
802C22×D17—82no—
803C22×D17—82no—
804C22×D17—82no—
805C22×D17—82no—
806C22×D17—82no—
807C22×D17—82no—
808C22×D17—82no—
809C22×D17—82no—
810C22×D17—82no—
811C22×D17—82no—
812C22×D17—82no—
813C22×D17—82no—
814C22×D17—82no—
815C22×D17—82no—
816C22×D17C22×D412yes—
817C22×D17C22×D412yes—
818C22×D17H(5,𝔽2)12yes—
819C22×D17H(5,𝔽2)12yes—
820C22×D17H(5,𝔽2)12yes—
821D4×C17—44no—
822D4×C17—44no—
823D4×C17—44no—
824D4×C17—44no—
825D4×C17—82no—
826D4×C17—82no—
827D4×C17—82no—
828D4×C17—82no—
829D4×C17—82no—
830D4×C17—82no—
831D4×C17—82no—
832D4×C17—82no—
833C2×C4×C17—21no—
834C2×C4×C17—21no—
835C2×C4×C17—21no—
836C2×C4×C17—21no—
837C2×C4×C17—21no—
838C2×C4×C17—21no—
839C2×C4×C17—21no—
840C2×C4×C17—21no—
841C2×C4×C17—21no—
842C2×C4×C17—21no—
843C2×C4×C17—21no—
844C2×C4×C17—21no—
845C2×C4×C17—21no—
846C2×C4×C17—21no—
847C2×C4×C17—21no—
848C2×C4×C17—21no—
849C2×C4×C17—21no—
850C2×C4×C17—21no—
851C2×C4×C17—21no—
852C2×C4×C17—21no—
853C2×C4×C17—21no—
854C2×C4×C17—21no—
855C2×C4×C17—21no—
856C2×C4×C17—21no—
857C2×C4×C17—44no—
858C2×C4×C17C22×D412yes—
859C2×C4×C17C22×D412yes—
860C2×C4×C17H(5,𝔽2)12yes—
861C22⋊D17—44no—
862C22⋊D17—44no—
863C22⋊D17—44no—
864C22⋊D17—44no—
865C22⋊D17—44no—
866C22⋊D17—44no—
867C22⋊D17—44no—
868C22⋊D17—44no—
869C22⋊D17—44no—
870C22⋊D17—44no—
871C22⋊D17—44no—
872C22⋊D17—44no—
873C22⋊D17—82no—
874C22⋊D17—82no—
875C22⋊D17—82no—
876C22⋊D17—82no—
877C22⋊D17—82no—
878C22⋊D17—82no—
879C22⋊D17—82no—
880C22⋊D17—82no—
881C22⋊D17—82no—
882C22⋊D17—82no—
883C2×Dic17—21no—
884C2×Dic17—21no—
885C2×Dic17—21no—
886C2×Dic17—21no—
887C2×Dic17—21no—
888C2×Dic17—21no—
889C2×Dic17—21no—
890C2×Dic17—21no—
891C2×Dic17—21no—
892C2×Dic17—21no—
893C2×Dic17—21no—
894C2×Dic17—21no—
895C2×Dic17—21no—
896C2×Dic17—21no—
897C2×Dic17—21no—
898C2×Dic17—21no—
899C2×Dic17—21no—
900C2×Dic17—21no—
901C2×Dic17—21no—
902C2×Dic17—21no—
903C2×Dic17—21no—
904C2×Dic17—21no—
905C2×Dic17—21no—
906C2×Dic17—21no—
907C2×Dic17—21no—
908C2×Dic17—21no—
909C2×Dic17—21no—
910C2×Dic17—21no—
911C2×Dic17—21no—
912C2×Dic17—21no—
913C2×Dic17—44no—
914C2×Dic17—44no—
915C2×Dic17C22×D412yes—
916C2×Dic17C22×D412yes—
917C2×Dic17H(5,𝔽2)12yes—
918D68—44no—
919D68—44no—
920D68—44no—
921D68—44no—
922D68—82no—
923D68—82no—
924C4×D17—28no—
925C4×D17—44no—
926C4×D17—44no—
927C4×D17—44no—
928C4×D17—44no—
929C4×D17—44no—
930C4×D17—44no—
931C2×#534—171no—
932C22×#121—171no—
933#2847—171no—
934#2847—171no—
935#2703—171no—
936#2703—171no—
937#2703—171no—
938#2703—171no—
939#2703—171no—
940#2703—171no—
941#2703—171no—
942#2703—171no—
943#2669—171no—
944#2669—171no—
945#2669—171no—
946#2669—171no—
947#2669—171no—
948#2669—171no—
949#2669—171no—
950#2669D1711yescharacteristic, complemented
951#2617—171no—
952#2617—171no—
953#2591—171no—
954#2591—171no—
955#2433—171no—
956#2433—171no—
957#2403—171no—
958#2403—171no—
959#2403—171no—
960#2403—171no—
961#2312—171no—
962C22×C17—22no—
963C22×C17—22no—
964C22×C17—22no—
965C22×C17—22no—
966C22×C17—22no—
967C22×C17—22no—
968C22×C17—41no—
969C22×C17—41no—
970C22×C17—41no—
971C22×C17—41no—
972C22×C17—41no—
973C22×C17—41no—
974C22×C17—41no—
975C22×C17—41no—
976C22×C17—41no—
977C22×C17—41no—
978C22×C17—41no—
979C22×C17—41no—
980C22×C17—41no—
981C22×C17—41no—
982C22×C17—41no—
983C22×C17—41no—
984C22×C17—41no—
985C22×C17—41no—
986C22×C17—41no—
987C22×C17—41no—
988C22×C17—41no—
989C22×C17—41no—
990C22×C17—41no—
991C22×C17—41no—
992C22×C17—41no—
993C22×C17—41no—
994C22×C17—41no—
995C22×C17—41no—
996C22×C17—41no—
997C22×C17—41no—
998C22×C17—41no—
999C22×C17—41no—
1000C22×C17—41no—
1001C22×C17—41no—
1002C22×C17—41no—
1003C22×C17—41no—
1004C22×C17—88no—
1005C22×C17C23×D411yescharacteristic
1006C22×C17C2×H(5,𝔽2)11yescharacteristic
1007C22×C17C2×H(5,𝔽2)11yescharacteristic
1008C22×C17C2×H(5,𝔽2)11yescharacteristic
1009C22×C17C2×H(5,𝔽2)11yescharacteristic
1010C22×C17C2×H(5,𝔽2)11yescharacteristic
1011C22×C17C2×H(5,𝔽2)11yescharacteristic
1012C2×D17—22no—
1013C2×D17—22no—
1014C2×D17—22no—
1015C2×D17—22no—
1016C2×D17—22no—
1017C2×D17—22no—
1018C2×D17—22no—
1019C2×D17—22no—
1020C2×D17—22no—
1021C2×D17—22no—
1022C2×D17—22no—
1023C2×D17—22no—
1024C2×D17—416no—
1025C2×D17—41no—
1026C2×D17—41no—
1027C2×D17—41no—
1028C2×D17—41no—
1029C2×D17—41no—
1030C2×D17—41no—
1031C2×D17—41no—
1032C2×D17—41no—
1033C2×D17—41no—
1034C2×D17—41no—
1035C2×D17—41no—
1036C2×D17—41no—
1037C2×D17—41no—
1038C2×D17—41no—
1039C2×D17—41no—
1040C2×D17—41no—
1041C2×D17—41no—
1042C2×D17—41no—
1043C2×D17—41no—
1044C2×D17—41no—
1045C2×D17—41no—
1046C2×D17—41no—
1047C2×D17—88no—
1048C2×D17—88no—
1049C2×D17—88no—
1050C2×D17#53514yes—
1051C4×C17—22no—
1052C4×C17—22no—
1053C4×C17—22no—
1054C4×C17—41no—
1055C4×C17—41no—
1056C4×C17—41no—
1057C4×C17—41no—
1058C4×C17—41no—
1059C4×C17—41no—
1060Dic17—22no—
1061Dic17—22no—
1062Dic17—22no—
1063Dic17—41no—
1064Dic17—41no—
1065Dic17—41no—
1066Dic17—41no—
1067Dic17—41no—
1068Dic17—41no—
1069Dic17—41no—
1070Dic17—41no—
1071C23×D4—171no—
1072C23×D4—171no—
1073C23×D4—171no—
1074C23×D4—171no—
1075C23×D4—171no—
1076C24×C4—171no—
1077#534—348no—
1078C2×#127—171no—
1079C2×#127—171no—
1080C2×#127—171no—
1081C2×#127C2×D1711yescharacteristic, complemented
1082C2×#123—171no—
1083C2×#123—171no—
1084C2×#123—171no—
1085C2×#123—171no—
1086C2×#121—171no—
1087C2×#121—171no—
1088C2×#121—171no—
1089C2×#121—171no—
1090C2×#121—171no—
1091C2×#121—171no—
1092C2×#121—171no—
1093C2×#121—171no—
1094C2×#121—171no—
1095C2×#121—171no—
1096C2×#121—171no—
1097C2×#121—171no—
1098C2×#121—171no—
1099C2×#121—171no—
1100C2×#121—348no—
1101C2×#121C2×D1711yescharacteristic, complemented
1102C2×#121C2×D1711yescharacteristic, complemented
1103C2×#120—171no—
1104C2×#120—171no—
1105C2×#120—171no—
1106C2×#120—171no—
1107C2×#120—171no—
1108C2×#120—171no—
1109C2×#120—171no—
1110C2×#120—171no—
1111C2×#120—171no—
1112C2×#120—171no—
1113C2×#120—171no—
1114C2×#120—171no—
1115C2×#120—171no—
1116C2×#120—171no—
1117C2×#120—171no—
1118C2×#120—171no—
1119C2×#120—171no—
1120C2×#120C2×D1711yescharacteristic, complemented
1121C2×#120C2×D1711yescharacteristic, complemented
1122C2×#120C2×D1711yescharacteristic, complemented
1123C22×C4⋊C4—171no—
1124C22×C22⋊C4—171no—
1125C22×C22⋊C4—171no—
1126#400—171no—
1127#400—171no—
1128#400—171no—
1129#400—171no—
1130#397—171no—
1131#397—171no—
1132#397—171no—
1133#397—171no—
1134#394—171no—
1135#394—171no—
1136#394—171no—
1137#394—171no—
1138#394—171no—
1139#394—171no—
1140#394—171no—
1141#394—171no—
1142#394—171no—
1143#394—171no—
1144#394C2×D1711yescharacteristic, complemented
1145#394C2×D1711yescharacteristic, complemented
1146#392—171no—
1147#392—171no—
1148#392—171no—
1149#392—171no—
1150#392—171no—
1151#392—171no—
1152#392—171no—
1153#392—171no—
1154#392—171no—
1155#392—171no—
1156#392—171no—
1157#392—171no—
1158#392—171no—
1159#392—171no—
1160#392—171no—
1161#392—171no—
1162#392—171no—
1163#392—171no—
1164#392—171no—
1165#392—171no—
1166#392—171no—
1167#392—171no—
1168#392—171no—
1169#392—171no—
1170#392C2×D1711yescharacteristic, complemented
1171#392C2×D1711yescharacteristic, complemented
1172#392C2×D1711yescharacteristic, complemented
1173#392C2×D1711yescharacteristic, complemented
1174#390—171no—
1175#390—171no—
1176#390—171no—
1177#390—171no—
1178#388—171no—
1179#388—171no—
1180#388—171no—
1181#388—171no—
1182#388—171no—
1183#388—171no—
1184#388—171no—
1185#388—171no—
1186#388—171no—
1187#388—171no—
1188#388—171no—
1189#388—171no—
1190#388—171no—
1191#388—171no—
1192#388C2×D1711yescharacteristic, complemented
1193#388C2×D1711yescharacteristic, complemented
1194#386—171no—
1195#386—171no—
1196#386—171no—
1197#386—171no—
1198#386—171no—
1199#386—171no—
1200#386—171no—
1201#386—171no—
1202#386—171no—
1203#386—171no—
1204#386—171no—
1205#386—171no—
1206#386—171no—
1207#386—171no—
1208#386—171no—
1209#386—171no—
1210#386—171no—
1211#386—171no—
1212#386—171no—
1213#386—171no—
1214#386—171no—
1215#386—171no—
1216#386—171no—
1217#386C2×D1711yescharacteristic, complemented
1218#380—171no—
1219#380—171no—
1220#380—171no—
1221#380—171no—
1222#380—171no—
1223#380—171no—
1224#379—171no—
1225#379—171no—
1226C4×C22⋊C4—171no—
1227C4×C22⋊C4—171no—
1228C2×C17—42no—
1229C2×C17—42no—
1230C2×C17—81no—
1231C2×C17—81no—
1232C2×C17—81no—
1233C2×C17—81no—
1234C2×C17C2×#53511yescharacteristic
1235C2×C17#348411yescharacteristic
1236C2×C17#348411yescharacteristic
1237C2×C17#353711yescharacteristic
1238C2×C17#353711yescharacteristic
1239C2×C17#353711yescharacteristic
1240C2×C17#353711yescharacteristic
1241D17—24no—
1242D17—42no—
1243D17—42no—
1244D17—81no—
1245D17—81no—
1246C25—171no—
1247C25—171no—
1248C25—171no—
1249C25—171no—
1250C25C22×D1711yescharacteristic
1251C22×D4—171no—
1252C22×D4—171no—
1253C22×D4—171no—
1254C22×D4—171no—
1255C22×D4—171no—
1256C22×D4—171no—
1257C22×D4—171no—
1258C22×D4—171no—
1259C22×D4—171no—
1260C22×D4—171no—
1261C22×D4—171no—
1262C22×D4—171no—
1263C22×D4—171no—
1264C22×D4—171no—
1265C22×D4—171no—
1266C22×D4—171no—
1267C22×D4—171no—
1268C22×D4—171no—
1269C22×D4—171no—
1270C22×D4—171no—
1271C22×D4—171no—
1272C22×D4—171no—
1273C22×D4—171no—
1274C22×D4—171no—
1275C22×D4—171no—
1276C22×D4—171no—
1277C22×D4—171no—
1278C22×D4—171no—
1279C22×D4—344no—
1280C22×D4—344no—
1281C22×D4—344no—
1282C22×D4—344no—
1283C22×D4—344no—
1284C22×D4—682no—
1285C22×D4—682no—
1286C22×D4—682no—
1287C22×D4—682no—
1288C22×D4—682no—
1289C22×D4—682no—
1290C22×D4—682no—
1291C22×D4—682no—
1292C22×D4—682no—
1293C22×D4—682no—
1294C22×D4C22×D1711yescharacteristic
1295C22×D4C22×D1711yescharacteristic
1296C22×D4C22×D1711yescharacteristic
1297C22×D4C22×D1711yescharacteristic
1298C22×D4C22×D1711yescharacteristic
1299C22×D4C22×D1711yescharacteristic
1300C22×D4C22×D1711yescharacteristic
1301C22×D4C22×D1711yescharacteristic
1302C22×D4C22×D1711yescharacteristic
1303C22×D4C22×D1711yescharacteristic
1304C22×D4C22×D1711yescharacteristic
1305C22×D4C22×D1711yescharacteristic
1306C23×C4—171no—
1307C23×C4—171no—
1308C23×C4—171no—
1309C23×C4—171no—
1310C23×C4—171no—
1311C23×C4—171no—
1312C23×C4—171no—
1313C23×C4—171no—
1314C23×C4—171no—
1315C23×C4—344no—
1316C23×C4—682no—
1317C23×C4—682no—
1318C23×C4C22×D1711yescharacteristic
1319#127—42no—
1320#127—682no—
1321#127—682no—
1322#127—682no—
1323#123—344no—
1324#123—344no—
1325#123—344no—
1326#123—344no—
1327#121—24no—
1328#121—42no—
1329#121—344no—
1330#121—344no—
1331#121—344no—
1332#121—344no—
1333#121—344no—
1334#121—344no—
1335#121—344no—
1336#121—344no—
1337#121—344no—
1338#121—344no—
1339#121—344no—
1340#121—682no—
1341#121—682no—
1342#121—682no—
1343#120—24no—
1344#120—42no—
1345#120—42no—
1346#120—344no—
1347#120—344no—
1348#120—344no—
1349#120—682no—
1350#120—682no—
1351#120—682no—
1352#120—682no—
1353#120—682no—
1354#120—682no—
1355#120—682no—
1356#120—682no—
1357#120—682no—
1358#120—682no—
1359#120—682no—
1360#120—682no—
1361#120—682no—
1362#120—682no—
1363C2×C4⋊C4—171no—
1364C2×C4⋊C4—171no—
1365C2×C4⋊C4—171no—
1366C2×C4⋊C4—171no—
1367C2×C4⋊C4—171no—
1368C2×C4⋊C4—171no—
1369C2×C4⋊C4—171no—
1370C2×C4⋊C4—171no—
1371C2×C4⋊C4—171no—
1372C2×C4⋊C4—171no—
1373C2×C4⋊C4—344no—
1374C2×C4⋊C4C22×D1711yescharacteristic
1375C2×C4⋊C4C22×D1711yescharacteristic
1376C2×C22⋊C4—171no—
1377C2×C22⋊C4—171no—
1378C2×C22⋊C4—171no—
1379C2×C22⋊C4—178no—
1380C2×C22⋊C4—171no—
1381C2×C22⋊C4—171no—
1382C2×C22⋊C4—171no—
1383C2×C22⋊C4—171no—
1384C2×C22⋊C4—171no—
1385C2×C22⋊C4—171no—
1386C2×C22⋊C4—171no—
1387C2×C22⋊C4—171no—
1388C2×C22⋊C4—171no—
1389C2×C22⋊C4—171no—
1390C2×C22⋊C4—171no—
1391C2×C22⋊C4—171no—
1392C2×C22⋊C4—171no—
1393C2×C22⋊C4—171no—
1394C2×C22⋊C4—171no—
1395C2×C22⋊C4—171no—
1396C2×C22⋊C4—171no—
1397C2×C22⋊C4—171no—
1398C2×C22⋊C4—171no—
1399C2×C22⋊C4—171no—
1400C2×C22⋊C4—171no—
1401C2×C22⋊C4—171no—
1402C2×C22⋊C4—171no—
1403C2×C22⋊C4—171no—
1404C2×C22⋊C4—171no—
1405C2×C22⋊C4—171no—
1406C2×C22⋊C4—171no—
1407C2×C22⋊C4—171no—
1408C2×C22⋊C4—171no—
1409C2×C22⋊C4—171no—
1410C2×C22⋊C4—171no—
1411C2×C22⋊C4—171no—
1412C2×C22⋊C4—171no—
1413C2×C22⋊C4—171no—
1414C2×C22⋊C4—171no—
1415C2×C22⋊C4—171no—
1416C2×C22⋊C4—171no—
1417C2×C22⋊C4—171no—
1418C2×C22⋊C4—171no—
1419C2×C22⋊C4—171no—
1420C2×C22⋊C4—171no—
1421C2×C22⋊C4—171no—
1422C2×C22⋊C4—171no—
1423C2×C22⋊C4—344no—
1424C2×C22⋊C4C22×D1711yescharacteristic
1425C2×C22⋊C4C22×D1711yescharacteristic
1426C2×C22⋊C4C22×D1711yescharacteristic
1427C2×C22⋊C4C22×D1711yescharacteristic
1428C2×C22⋊C4C22×D1711yescharacteristic
1429C2×C22⋊C4C22×D1711yescharacteristic
1430C2×C22⋊C4C22×D1711yescharacteristic
1431C2×C22⋊C4C22×D1711yescharacteristic
1432C2×C22⋊C4C22×D1711yescharacteristic
1433C2×C22⋊C4C22×D1711yescharacteristic
1434C2×C22⋊C4C22×D1711yescharacteristic
1435C2×C22⋊C4C22×D1711yescharacteristic
1436C2×C22⋊C4C22×D1711yescharacteristic
1437C2×C22⋊C4C22×D1711yescharacteristic
1438C2×C42—171no—
1439C2×C42—171no—
1440C2×C42—171no—
1441C2×C42C22×D1711yescharacteristic
1442#95—171no—
1443#95—171no—
1444#95—171no—
1445#95—171no—
1446#95—171no—
1447#95—171no—
1448#95—171no—
1449#95—171no—
1450#95—171no—
1451#95—171no—
1452#95—171no—
1453#95—171no—
1454#95—171no—
1455#95—171no—
1456#95—171no—
1457#95—171no—
1458#95—171no—
1459#95—171no—
1460#95—171no—
1461#95—171no—
1462#95C22×D1711yescharacteristic
1463#95C22×D1711yescharacteristic
1464#95C22×D1711yescharacteristic
1465#95C22×D1711yescharacteristic
1466C17#3671711yescharacteristic, complemented, Sylow
1467C24—22no—
1468C24—41no—
1469C24—41no—
1470C24—41no—
1471C24—41no—
1472C24—41no—
1473C24—41no—
1474C24—171no—
1475C24—171no—
1476C24—171no—
1477C24—174no—
1478C24—171no—
1479C24—171no—
1480C24—342no—
1481C24—342no—
1482C24—342no—
1483C24—342no—
1484C24—342no—
1485C24—342no—
1486C24—342no—
1487C24—342no—
1488C24—342no—
1489C24—342no—
1490C24—342no—
1491C24—681no—
1492C24—681no—
1493C24—681no—
1494C24—681no—
1495C24—681no—
1496C24—681no—
1497C24—681no—
1498C24—681no—
1499C24—681no—
1500C24—681no—
1501C24—681no—
1502C24—681no—
1503C24—681no—
1504C24—681no—
1505C24—681no—
1506C24—681no—
1507C24C23×D1711yescharacteristic
1508C24C23×D1711yescharacteristic
1509C24C23×D1711yescharacteristic
1510C24C23×D1711yescharacteristic
1511C24C23×D1711yescharacteristic
1512C24C23×D1711yescharacteristic
1513C2×D4—22no—
1514C2×D4—22no—
1515C2×D4—22no—
1516C2×D4—22no—
1517C2×D4—22no—
1518C2×D4—22no—
1519C2×D4—22no—
1520C2×D4—22no—
1521C2×D4—22no—
1522C2×D4—22no—
1523C2×D4—22no—
1524C2×D4—22no—
1525C2×D4—41no—
1526C2×D4—41no—
1527C2×D4—41no—
1528C2×D4—41no—
1529C2×D4—41no—
1530C2×D4—41no—
1531C2×D4—41no—
1532C2×D4—41no—
1533C2×D4—41no—
1534C2×D4—41no—
1535C2×D4—41no—
1536C2×D4—41no—
1537C2×D4—41no—
1538C2×D4—41no—
1539C2×D4—41no—
1540C2×D4—41no—
1541C2×D4—41no—
1542C2×D4—41no—
1543C2×D4—41no—
1544C2×D4—41no—
1545C2×D4—41no—
1546C2×D4—41no—
1547C2×D4—41no—
1548C2×D4—41no—
1549C2×D4—342no—
1550C2×D4—342no—
1551C2×D4—342no—
1552C2×D4—342no—
1553C2×D4—342no—
1554C2×D4—342no—
1555C2×D4—342no—
1556C2×D4—342no—
1557C2×D4—342no—
1558C2×D4—342no—
1559C2×D4—342no—
1560C2×D4—342no—
1561C2×D4—342no—
1562C2×D4—342no—
1563C2×D4—342no—
1564C2×D4—342no—
1565C2×D4—342no—
1566C2×D4—342no—
1567C2×D4—342no—
1568C2×D4—342no—
1569C2×D4—342no—
1570C2×D4—342no—
1571C2×D4—342no—
1572C2×D4—342no—
1573C2×D4—342no—
1574C2×D4—342no—
1575C2×D4—342no—
1576C2×D4—342no—
1577C2×D4—342no—
1578C2×D4—342no—
1579C2×D4—342no—
1580C2×D4—342no—
1581C2×D4—342no—
1582C2×D4—342no—
1583C2×D4—342no—
1584C2×D4—342no—
1585C2×D4—342no—
1586C2×D4—342no—
1587C2×D4—342no—
1588C2×D4—342no—
1589C2×D4—681no—
1590C2×D4—681no—
1591C2×D4—681no—
1592C2×D4—681no—
1593C2×D4—681no—
1594C2×D4—681no—
1595C2×D4—681no—
1596C2×D4—681no—
1597C2×D4—6816no—
1598C2×D4—681no—
1599C2×D4—681no—
1600C2×D4—681no—
1601C2×D4—681no—
1602C2×D4—681no—
1603C2×D4—681no—
1604C2×D4—681no—
1605C2×D4—681no—
1606C2×D4—681no—
1607C2×D4—681no—
1608C2×D4—681no—
1609C2×D4—681no—
1610C2×D4—681no—
1611C2×D4—681no—
1612C2×D4—681no—
1613C2×D4—681no—
1614C2×D4—681no—
1615C2×D4—681no—
1616C2×D4—681no—
1617C2×D4—681no—
1618C2×D4—681no—
1619C2×D4—681no—
1620C2×D4—681no—
1621C2×D4—681no—
1622C2×D4—681no—
1623C2×D4—681no—
1624C2×D4—681no—
1625C2×D4—681no—
1626C2×D4—681no—
1627C2×D4—681no—
1628C2×D4—681no—
1629C2×D4—681no—
1630C2×D4—681no—
1631C2×D4—681no—
1632C2×D4—681no—
1633C2×D4—681no—
1634C2×D4—6816no—
1635C2×D4—6816no—
1636C2×D4—6816no—
1637C2×D4—6816no—
1638C22×C4—22no—
1639C22×C4—22no—
1640C22×C4—41no—
1641C22×C4—171no—
1642C22×C4—171no—
1643C22×C4—171no—
1644C22×C4—174no—
1645C22×C4—174no—
1646C22×C4—171no—
1647C22×C4—171no—
1648C22×C4—171no—
1649C22×C4—171no—
1650C22×C4—171no—
1651C22×C4—171no—
1652C22×C4—171no—
1653C22×C4—171no—
1654C22×C4—342no—
1655C22×C4—342no—
1656C22×C4—342no—
1657C22×C4—342no—
1658C22×C4—342no—
1659C22×C4—342no—
1660C22×C4—342no—
1661C22×C4—342no—
1662C22×C4—342no—
1663C22×C4—342no—
1664C22×C4—342no—
1665C22×C4—342no—
1666C22×C4—681no—
1667C22×C4—681no—
1668C22×C4—681no—
1669C22×C4—681no—
1670C22×C4—681no—
1671C22×C4—681no—
1672C22×C4—681no—
1673C22×C4—681no—
1674C22×C4—681no—
1675C22×C4—681no—
1676C22×C4—6816no—
1677C22×C4—681no—
1678C22×C4—681no—
1679C22×C4—681no—
1680C22×C4C23×D1711yescharacteristic
1681C22×C4C23×D1711yescharacteristic
1682C22×C4C23×D1711yescharacteristic
1683C22×C4C23×D1711yescharacteristic
1684C22×C4C23×D1711yescharacteristic
1685C22×C4C23×D1711yescharacteristic
1686C22×C4C23×D1711yescharacteristic
1687C22×C4C23×D1711yescharacteristic
1688C22×C4C23×D1711yescharacteristic
1689C4⋊C4—22no—
1690C4⋊C4—41no—
1691C4⋊C4—342no—
1692C4⋊C4—342no—
1693C4⋊C4—342no—
1694C4⋊C4—342no—
1695C4⋊C4—342no—
1696C4⋊C4—342no—
1697C4⋊C4—342no—
1698C4⋊C4—681no—
1699C4⋊C4—681no—
1700C4⋊C4—681no—
1701C22⋊C4—22no—
1702C22⋊C4—22no—
1703C22⋊C4—22no—
1704C22⋊C4—22no—
1705C22⋊C4—22no—
1706C22⋊C4—22no—
1707C22⋊C4—41no—
1708C22⋊C4—41no—
1709C22⋊C4—41no—
1710C22⋊C4—41no—
1711C22⋊C4—41no—
1712C22⋊C4—41no—
1713C22⋊C4—41no—
1714C22⋊C4—174no—
1715C22⋊C4—174no—
1716C22⋊C4—174no—
1717C22⋊C4—342no—
1718C22⋊C4—342no—
1719C22⋊C4—342no—
1720C22⋊C4—342no—
1721C22⋊C4—342no—
1722C22⋊C4—342no—
1723C22⋊C4—342no—
1724C22⋊C4—342no—
1725C22⋊C4—342no—
1726C22⋊C4—342no—
1727C22⋊C4—342no—
1728C22⋊C4—342no—
1729C22⋊C4—342no—
1730C22⋊C4—342no—
1731C22⋊C4—342no—
1732C22⋊C4—342no—
1733C22⋊C4—342no—
1734C22⋊C4—342no—
1735C22⋊C4—681no—
1736C22⋊C4—681no—
1737C22⋊C4—681no—
1738C22⋊C4—681no—
1739C22⋊C4—681no—
1740C22⋊C4—681no—
1741C22⋊C4—681no—
1742C22⋊C4—681no—
1743C22⋊C4—681no—
1744C22⋊C4—681no—
1745C22⋊C4—681no—
1746C22⋊C4—681no—
1747C22⋊C4—681no—
1748C22⋊C4—681no—
1749C22⋊C4—681no—
1750C22⋊C4—681no—
1751C22⋊C4—681no—
1752C22⋊C4—681no—
1753C22⋊C4—681no—
1754C22⋊C4—681no—
1755C22⋊C4—681no—
1756C22⋊C4—681no—
1757C22⋊C4—681no—
1758C22⋊C4—681no—
1759C22⋊C4—681no—
1760C22⋊C4D4×D1714yes—
1761C42—41no—
1762C42—681no—
1763C42—681no—
1764C42—681no—
1765C23—21no—
1766C23—21no—
1767C23—21no—
1768C23—21no—
1769C23—21no—
1770C23—21no—
1771C23—21no—
1772C23—21no—
1773C23—21no—
1774C23—21no—
1775C23—21no—
1776C23—21no—
1777C23—21no—
1778C23—21no—
1779C23—21no—
1780C23—21no—
1781C23—21no—
1782C23—21no—
1783C23—21no—
1784C23—21no—
1785C23—21no—
1786C23—21no—
1787C23—21no—
1788C23—21no—
1789C23—21no—
1790C23—21no—
1791C23—21no—
1792C23—21no—
1793C23—21no—
1794C23—21no—
1795C23—21no—
1796C23—21no—
1797C23—21no—
1798C23—21no—
1799C23—21no—
1800C23—21no—
1801C23—21no—
1802C23—21no—
1803C23—21no—
1804C23—21no—
1805C23—44no—
1806C23—82no—
1807C23—82no—
1808C23—82no—
1809C23—82no—
1810C23—82no—
1811C23—82no—
1812C23—172no—
1813C23—172no—
1814C23—172no—
1815C23—172no—
1816C23—172no—
1817C23—348no—
1818C23—348no—
1819C23—341no—
1820C23—341no—
1821C23—341no—
1822C23—341no—
1823C23—341no—
1824C23—341no—
1825C23—341no—
1826C23—341no—
1827C23—341no—
1828C23—341no—
1829C23—341no—
1830C23—341no—
1831C23—341no—
1832C23—341no—
1833C23—341no—
1834C23—341no—
1835C23—341no—
1836C23—341no—
1837C23—341no—
1838C23—341no—
1839C23—341no—
1840C23—341no—
1841C23—341no—
1842C23—341no—
1843C23—341no—
1844C23—341no—
1845C23—341no—
1846C23—341no—
1847C23—341no—
1848C23—341no—
1849C23—684no—
1850C23—684no—
1851C23—684no—
1852C23—684no—
1853C23—684no—
1854C23—684no—
1855C23—684no—
1856C23—684no—
1857C23—684no—
1858C23—684no—
1859C23—684no—
1860C23—684no—
1861C23—1362no—
1862C23—1362no—
1863C23—1362no—
1864C23—1362no—
1865C23—1362no—
1866C23—1362no—
1867C23—1362no—
1868C23—1362no—
1869C23—1362no—
1870C23—1362no—
1871C23—1362no—
1872C23—1362no—
1873C23—1362no—
1874C23—1362no—
1875C23C2×D4×D1712yes—
1876C23#1058769112yes—
1877C23C24×D1711yescharacteristic
1878D4—44no—
1879D4—44no—
1880D4—44no—
1881D4—44no—
1882D4—82no—
1883D4—82no—
1884D4—82no—
1885D4—82no—
1886D4—82no—
1887D4—82no—
1888D4—82no—
1889D4—82no—
1890D4—684no—
1891D4—684no—
1892D4—684no—
1893D4—684no—
1894D4—684no—
1895D4—684no—
1896D4—684no—
1897D4—684no—
1898D4—684no—
1899D4—684no—
1900D4—684no—
1901D4—684no—
1902D4—684no—
1903D4—684no—
1904D4—684no—
1905D4—684no—
1906D4—1362no—
1907D4—1362no—
1908D4—1362no—
1909D4—1362no—
1910D4—1362no—
1911D4—1362no—
1912D4—1362no—
1913D4—1362no—
1914D4—1362no—
1915D4—1362no—
1916D4—1362no—
1917D4—1362no—
1918C2×C4—21no—
1919C2×C4—21no—
1920C2×C4—21no—
1921C2×C4—21no—
1922C2×C4—21no—
1923C2×C4—21no—
1924C2×C4—21no—
1925C2×C4—21no—
1926C2×C4—21no—
1927C2×C4—21no—
1928C2×C4—21no—
1929C2×C4—21no—
1930C2×C4—21no—
1931C2×C4—21no—
1932C2×C4—21no—
1933C2×C4—21no—
1934C2×C4—21no—
1935C2×C4—21no—
1936C2×C4—21no—
1937C2×C4—21no—
1938C2×C4—21no—
1939C2×C4—21no—
1940C2×C4—21no—
1941C2×C4—21no—
1942C2×C4—44no—
1943C2×C4—172no—
1944C2×C4—172no—
1945C2×C4—172no—
1946C2×C4—348no—
1947C2×C4—341no—
1948C2×C4—341no—
1949C2×C4—341no—
1950C2×C4—341no—
1951C2×C4—341no—
1952C2×C4—341no—
1953C2×C4—341no—
1954C2×C4—341no—
1955C2×C4—341no—
1956C2×C4—341no—
1957C2×C4—341no—
1958C2×C4—341no—
1959C2×C4—341no—
1960C2×C4—341no—
1961C2×C4—341no—
1962C2×C4—341no—
1963C2×C4—341no—
1964C2×C4—341no—
1965C2×C4—341no—
1966C2×C4—341no—
1967C2×C4—341no—
1968C2×C4—341no—
1969C2×C4—341no—
1970C2×C4—341no—
1971C2×C4—341no—
1972C2×C4—341no—
1973C2×C4—341no—
1974C2×C4—341no—
1975C2×C4—341no—
1976C2×C4—341no—
1977C2×C4—684no—
1978C2×C4—684no—
1979C2×C4—684no—
1980C2×C4—684no—
1981C2×C4—684no—
1982C2×C4—684no—
1983C2×C4—684no—
1984C2×C4—684no—
1985C2×C4C2×D4×D1712yes—
1986C2×C4C2×D4×D1712yes—
1987C2×C4#1058769112yes—
1988C22—22no—
1989C22—22no—
1990C22—22no—
1991C22—22no—
1992C22—22no—
1993C22—22no—
1994C22—41no—
1995C22—41no—
1996C22—41no—
1997C22—41no—
1998C22—41no—
1999C22—41no—
2000C22—41no—
2001C22—41no—
2002C22—41no—
2003C22—41no—
2004C22—41no—
2005C22—41no—
2006C22—41no—
2007C22—41no—
2008C22—41no—
2009C22—41no—
2010C22—41no—
2011C22—41no—
2012C22—41no—
2013C22—41no—
2014C22—41no—
2015C22—41no—
2016C22—41no—
2017C22—41no—
2018C22—41no—
2019C22—41no—
2020C22—41no—
2021C22—41no—
2022C22—41no—
2023C22—41no—
2024C22—41no—
2025C22—41no—
2026C22—41no—
2027C22—41no—
2028C22—41no—
2029C22—41no—
2030C22—88no—
2031C22—174no—
2032C22—342no—
2033C22—342no—
2034C22—342no—
2035C22—342no—
2036C22—342no—
2037C22—342no—
2038C22—342no—
2039C22—342no—
2040C22—342no—
2041C22—342no—
2042C22—342no—
2043C22—342no—
2044C22—6816no—
2045C22—681no—
2046C22—681no—
2047C22—681no—
2048C22—681no—
2049C22—681no—
2050C22—681no—
2051C22—681no—
2052C22—681no—
2053C22—681no—
2054C22—681no—
2055C22—681no—
2056C22—681no—
2057C22—681no—
2058C22—681no—
2059C22—681no—
2060C22—681no—
2061C22—681no—
2062C22—681no—
2063C22—681no—
2064C22—681no—
2065C22—681no—
2066C22—681no—
2067C22—1368no—
2068C22—1368no—
2069C22—1368no—
2070C22C22×D4×D1711yescharacteristic
2071C22H(5,𝔽2)×D1711yescharacteristic
2072C22H(5,𝔽2)×D1711yescharacteristic
2073C22H(5,𝔽2)×D1711yescharacteristic
2074C22H(5,𝔽2)×D1711yescharacteristic
2075C22C2×#1058769111yescharacteristic
2076C22C2×#1058769111yescharacteristic
2077C4—22no—
2078C4—22no—
2079C4—22no—
2080C4—41no—
2081C4—41no—
2082C4—41no—
2083C4—41no—
2084C4—41no—
2085C4—41no—
2086C4—342no—
2087C4—342no—
2088C4—342no—
2089C4—681no—
2090C4—681no—
2091C4—681no—
2092C4—681no—
2093C4—681no—
2094C4—681no—
2095C4—681no—
2096C4—681no—
2097C2—42no—
2098C2—42no—
2099C2—81no—
2100C2—81no—
2101C2—81no—
2102C2—81no—
2103C2—344no—
2104C2—682no—
2105C2—682no—
2106C2—1361no—
2107C2—1361no—
2108C2D17×#53511yescharacteristic
2109C2#1454241211yescharacteristic
2110C2#1454241211yescharacteristic
2111C2#1454301511yescharacteristic
2112C2#1454301711yescharacteristic
2113C2#1454301811yescharacteristic
2114C2#1454302111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D17
commutator, socle, cosocleC23×C17C25
FittingC17×#2669C2
hypercenter#2669D17
hypocenterC17#36717
LCSG ▷ C23×C17 ▷ C17
UCSC1 ◁ C23 ◁ #2669

Complements

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

NH ≅ G/Ntype
1. C2×#11763369C2semidirect
2. C2×#121×D17C2semidirect
3. #14537065C2semidirect
4. #14537063C2semidirect
5. #14535434C2semidirect
6. #14535433C2semidirect
7. #14535432C2semidirect
8. #14535431C2semidirect
9. #14535425C2semidirect
10. #14535423C2semidirect
11. #14535422C2semidirect
12. #14535420C2semidirect
13. #14535003C2semidirect
14. #14535001C2semidirect
15. #14535000C2semidirect
16. #14534998C2semidirect
17. #14534998C2semidirect
18. #14534997C2semidirect
19. #14534996C2semidirect
20. #14534523C2semidirect
21. #14534517C2semidirect
22. #14534262C2semidirect
23. #14534258C2semidirect
24. #14532418C2semidirect
25. #14532416C2semidirect
26. #14532095C2semidirect
27. #14532095C2semidirect
28. #14532093C2semidirect
29. #14532093C2semidirect
30. #14531378C2semidirect
31. C17×#2669C2semidirect
36. C22×D4×D17C22semidirect
37. C23×C4×D17C22semidirect
39. C2×#10587626C22semidirect
40. C2×#10587626C22semidirect
41. C2×#10587626C22semidirect
42. C2×#10587572C22semidirect
43. C2×#10587569C22semidirect
44. C2×#10587569C22semidirect
45. C2×#10587621C22semidirect
46. C2×#10587581C22semidirect
47. C2×#10587616C22semidirect
50. C2×#10587570C22semidirect
51. C2×#10587570C22semidirect
52. C2×#10587570C22semidirect
53. C2×#10587625C22semidirect
54. C2×#10587625C22semidirect
55. C2×#10587625C22semidirect
58. C2×#10587624C22semidirect
59. C2×#10587624C22semidirect
61. C2×#10587568C22semidirect
62. C2×#10587568C22semidirect
63. C2×#10587568C22semidirect
64. C2×#10587568C22semidirect
65. C2×#10587639C22semidirect
66. C2×#10587639C22semidirect
67. C2×#10587639C22semidirect
68. C2×#10587623C22semidirect
69. C2×#10587623C22semidirect
70. C2×#10587623C22semidirect
71. C2×#10587623C22semidirect
72. C2×#10587623C22semidirect
73. C2×#10587623C22semidirect
74. C2×#10587623C22semidirect
75. C2×#10587623C22semidirect
76. C2×#10587623C22semidirect
77. C2×#10587623C22semidirect
78. C2×C4⋊C4×D17C22semidirect
80. C2×C22⋊C4×D17C22semidirect
81. #11762751C22semidirect
82. #11762750C22semidirect
83. #11762749C22semidirect
84. #11762748C22semidirect
85. #11762738C22semidirect
86. #11762737C22semidirect
87. #11762736C22semidirect
88. #11762734C22semidirect
89. #11762726C22semidirect
90. #11762725C22semidirect
91. #11762725C22semidirect
92. #11762725C22semidirect
93. #11762724C22semidirect
94. #11762724C22semidirect
95. #11762724C22semidirect
96. #11762723C22semidirect
97. #11762723C22semidirect
98. #11762723C22semidirect
99. #11762719C22semidirect
100. #11762718C22semidirect
101. #11762718C22semidirect
102. #11762718C22semidirect
103. #11762718C22semidirect
104. #11762718C22semidirect
105. #11762718C22semidirect
106. #11762718C22semidirect
107. #11762718C22semidirect
108. #11762717C22semidirect
109. #11762717C22semidirect
110. #11762717C22semidirect
111. #11762717C22semidirect
112. #11762717C22semidirect
113. #11762717C22semidirect
114. #11762717C22semidirect
115. #11762717C22semidirect
116. #11762717C22semidirect
117. #11762717C22semidirect
118. #11762717C22semidirect
119. #11762717C22semidirect
120. #11762717C22semidirect
121. #11762717C22semidirect
122. #11762717C22semidirect
123. #11762712C22semidirect
124. #11762711C22semidirect
125. #11762709C22semidirect
126. #11762709C22semidirect
127. #11762703C22semidirect
128. #11762703C22semidirect
129. #11762702C22semidirect
130. #11762702C22semidirect
131. #11762702C22semidirect
132. #11762701C22semidirect
133. #11762700C22semidirect
134. #11762700C22semidirect
135. #11762699C22semidirect
136. #11762699C22semidirect
137. #11762698C22semidirect
138. #11762697C22semidirect
139. #11762697C22semidirect
140. #11762697C22semidirect
141. #11762689C22semidirect
142. #11762689C22semidirect
143. #11762689C22semidirect
144. #11762689C22semidirect
145. #11762688C22semidirect
146. #11762687C22semidirect
147. #11762687C22semidirect
148. #11762687C22semidirect
149. #11762687C22semidirect
150. #11762687C22semidirect
151. #11762686C22semidirect
152. #11762686C22semidirect
153. #11762685C22semidirect
154. #11762685C22semidirect
155. #11762685C22semidirect
156. #11762685C22semidirect
157. #11762685C22semidirect
158. #11762685C22semidirect
159. #11762685C22semidirect
160. #11762685C22semidirect
161. #11762685C22semidirect
162. #11762685C22semidirect
163. #11762685C22semidirect
164. #11762669C22semidirect
165. #11762668C22semidirect
166. #11762668C22semidirect
167. #11762667C22semidirect
168. #11762666C22semidirect
169. #11762666C22semidirect
172. C4×#63227C22semidirect
173. #11762656C22semidirect
174. C2×C17×#127C22semidirect
175. C2×C17×#121C22semidirect
176. C2×C17×#121C22semidirect
177. C2×C17×#120C22semidirect
178. C2×C17×#120C22semidirect
179. C2×C17×#120C22semidirect
180. C17×#394C22semidirect
181. C17×#394C22semidirect
182. C17×#392C22semidirect
183. C17×#392C22semidirect
184. C17×#392C22semidirect
185. C17×#392C22semidirect
186. C17×#388C22semidirect
187. C17×#388C22semidirect
188. C17×#386C22semidirect
384. C22⋊C4×D17D4semidirect
950. #2669D17semidirect
1081. C2×#127C2×D17semidirect
1101. C2×#121C2×D17semidirect
1102. C2×#121C2×D17semidirect
1120. C2×#120C2×D17semidirect
1121. C2×#120C2×D17semidirect
1122. C2×#120C2×D17semidirect
1144. #394C2×D17semidirect
1145. #394C2×D17semidirect
1170. #392C2×D17semidirect
1171. #392C2×D17semidirect
1172. #392C2×D17semidirect
1173. #392C2×D17semidirect
1192. #388C2×D17semidirect
1193. #388C2×D17semidirect
1217. #386C2×D17semidirect
1466. C17#36717semidirect

Maximal subgroups

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

subgroupindex
C2×#117633692
C2×#121×D172
#145370652
#145370632
#145354342
#145354332
#145354322
#145354312
#145354252
#145354232
#145354222
#145354202
#145350032
#145350012
#145350002
#145349982
#145349972
#145349962
#145345232
#145345172
#145342622
#145342582
#145324182
#145324162
#145320952
#145320932
#145313782
C17×#26692
#3671717