Finite Group Databasebeta

← #17241713

Subgroups — #17241713

Order 4352.

2782 conjugacy classes of subgroups.

The subgroup lattice has 1912 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11763391C211yesmaximal, characteristic, complemented
2C2×#11763369C211yesmaximal, characteristic, complemented
3#14537126C211yesmaximal, characteristic, complemented
4#14537082C211yesmaximal, characteristic, complemented
5#14535632C211yesmaximal, characteristic, complemented
6#14535631C211yesmaximal, characteristic, complemented
7#14535533C211yesmaximal, characteristic, complemented
8#14535528C211yesmaximal, characteristic, complemented
9#14535479C211yesmaximal, characteristic, complemented
10#14535476C211yesmaximal, characteristic, complemented
11#14535423C211yesmaximal, characteristic, complemented
12#14535420C211yesmaximal, characteristic, complemented
13#14535174C211yesmaximal, characteristic, complemented
14#14535171C211yesmaximal, characteristic, complemented
15#14535112C211yesmaximal, characteristic, complemented
16#14535109C211yesmaximal, characteristic, complemented
17#14535011C211yesmaximal, characteristic, complemented
18#14535006C211yesmaximal, characteristic, complemented
19#14534997C211yesmaximal, characteristic, complemented
20#14534885C211yesmaximal, characteristic, complemented
21#14534715C211yesmaximal, characteristic, complemented
22#14533743C211yesmaximal, characteristic, complemented
23#14533739C211yesmaximal, characteristic, complemented
24#14532220C211yesmaximal, characteristic, complemented
25#14532217C211yesmaximal, characteristic, complemented
26#14532154C211yesmaximal, characteristic, complemented
27#14532154C211yesmaximal, characteristic, complemented
28#14532151C211yesmaximal, characteristic, complemented
29#14532151C211yesmaximal, characteristic, complemented
30D17×#388C211yesmaximal, characteristic, complemented
31C17×#2669C211yesmaximal, characteristic, complemented
32C23×C22⋊D17C2211yescharacteristic
33C22×D4×D17C2211yescharacteristic
34#11763391—28no—
35#11763369—28no—
36C2×#10587584C2211yescharacteristic, complemented
37C2×#10587565C2211yescharacteristic, complemented
38C2×#10587622C2211yescharacteristic, complemented
39C2×#10587571C2211yescharacteristic, complemented
40C2×#10587571C2211yescharacteristic, complemented
41C2×#10587572C2211yescharacteristic
42C2×#10587615C2211yescharacteristic, complemented
43C2×#10587569C2211yescharacteristic
44C2×#10587569C2211yescharacteristic
45C2×#10587621C2211yescharacteristic
46C2×#10587621C2211yescharacteristic, complemented
47C2×#10587582C2211yescharacteristic, complemented
48C2×#10587570C2211yescharacteristic
49C2×#10587570C2211yescharacteristic
50C2×#10587570C2211yescharacteristic, complemented
51C2×#10587570C2211yescharacteristic, complemented
52C2×#10587625C2211yescharacteristic, complemented
53C2×#10587625C2211yescharacteristic, complemented
54C2×#10587624C2211yescharacteristic
55C2×#10587624C2211yescharacteristic
56C2×#10587624C2211yescharacteristic, complemented
57C2×#10587624C2211yescharacteristic, complemented
58C2×#10587624C2211yescharacteristic, complemented
59C2×#10587624C2211yescharacteristic, complemented
60C2×#10587624C2211yescharacteristic, complemented
61C2×#10587624C2211yescharacteristic, complemented
62C2×#10587624C2211yescharacteristic, complemented
63C2×#10587639C2211yescharacteristic
64C2×#10587623C2211yescharacteristic
65C2×#10587623C2211yescharacteristic
66C2×#10587623C2211yescharacteristic
67C2×#10587623C2211yescharacteristic
68C2×#10587623C2211yescharacteristic, complemented
69C2×#10587623C2211yescharacteristic, complemented
70C2×C4×C22⋊D17C2211yescharacteristic, complemented
71C2×#10587567C2211yescharacteristic, complemented
72C2×C4⋊C4×D17C2211yescharacteristic, complemented
73C2×C22⋊C4×D17C2211yescharacteristic
74C2×C22⋊C4×D17C2211yescharacteristic
75C2×C22⋊C4×D17C2211yescharacteristic
76C2×C42×D17C2211yescharacteristic, complemented
77#11762749C2211yescharacteristic, complemented
78#11762748C2211yescharacteristic, complemented
79#11762746C2211yescharacteristic, complemented
80#11762745C2211yescharacteristic, complemented
81#11762745C2211yescharacteristic, complemented
82#11762745C2211yescharacteristic, complemented
83#11762743C2211yescharacteristic, complemented
84#11762741C2211yescharacteristic, complemented
85#11762737C2211yescharacteristic, complemented
86#11762737C2211yescharacteristic, complemented
87#11762737C2211yescharacteristic, complemented
88#11762734C2211yescharacteristic, complemented
89#11762732C2211yescharacteristic, complemented
90#11762732C2211yescharacteristic, complemented
91#11762732C2211yescharacteristic, complemented
92#11762731C2211yescharacteristic, complemented
93#11762725C2211yescharacteristic
94#11762725C2211yescharacteristic
95#11762725C2211yescharacteristic
96#11762725C2211yescharacteristic
97#11762725C2211yescharacteristic
98#11762725C2211yescharacteristic
99#11762725C2211yescharacteristic, complemented
100#11762724C2211yescharacteristic, complemented
101#11762723C2211yescharacteristic
102#11762723C2211yescharacteristic
103#11762723C2211yescharacteristic, complemented
104#11762723C2211yescharacteristic, complemented
105#11762723C2211yescharacteristic, complemented
106#11762723C2211yescharacteristic, complemented
107#11762721C2211yescharacteristic, complemented
108#11762721C2211yescharacteristic, complemented
109#11762717C2211yescharacteristic
110#11762717C2211yescharacteristic
111#11762717C2211yescharacteristic
112#11762717C2211yescharacteristic
113#11762717C2211yescharacteristic
114#11762717C2211yescharacteristic
115#11762717C2211yescharacteristic, complemented
116#11762717C2211yescharacteristic, complemented
117#11762717C2211yescharacteristic, complemented
118#11762717C2211yescharacteristic, complemented
119#11762713C2211yescharacteristic, complemented
120#11762712C2211yescharacteristic, complemented
121#11762712C2211yescharacteristic, complemented
122#11762712C2211yescharacteristic, complemented
123#11762712C2211yescharacteristic, complemented
124#11762712C2211yescharacteristic, complemented
125#11762712C2211yescharacteristic, complemented
126#11762712C2211yescharacteristic, complemented
127#11762709C2211yescharacteristic, complemented
128#11762709C2211yescharacteristic, complemented
129#11762708C2211yescharacteristic, complemented
130#11762706C2211yescharacteristic, complemented
131#11762703C2211yescharacteristic, complemented
132#11762703C2211yescharacteristic, complemented
133#11762702C2211yescharacteristic, complemented
134#11762702C2211yescharacteristic, complemented
135#11762702C2211yescharacteristic, complemented
136#11762701C2211yescharacteristic, complemented
137#11762701C2211yescharacteristic, complemented
138#11762700C2211yescharacteristic, complemented
139#11762700C2211yescharacteristic, complemented
140#11762699C2211yescharacteristic, complemented
141#11762699C2211yescharacteristic, complemented
142#11762698C2211yescharacteristic, complemented
143#11762697C2211yescharacteristic, complemented
144#11762697C2211yescharacteristic, complemented
145#11762689C2211yescharacteristic, complemented
146#11762689C2211yescharacteristic, complemented
147#11762689C2211yescharacteristic, complemented
148#11762689C2211yescharacteristic, complemented
149#11762688C2211yescharacteristic, complemented
150#11762687C2211yescharacteristic, complemented
151#11762687C2211yescharacteristic, complemented
152#11762685C2211yescharacteristic, complemented
153#11762685C2211yescharacteristic, complemented
154#11762685C2211yescharacteristic, complemented
155#11762685C2211yescharacteristic, complemented
156#11762685C2211yescharacteristic, complemented
157#11762685C2211yescharacteristic, complemented
158#11762685C2211yescharacteristic, complemented
159#11762685C2211yescharacteristic, complemented
160#11762684C2211yescharacteristic, complemented
161#11762684C2211yescharacteristic, complemented
162#11762683C2211yescharacteristic, complemented
163#11762683C2211yescharacteristic, complemented
164#11762679C2211yescharacteristic, complemented
165#11762673C2211yescharacteristic, complemented
166#11762669C2211yescharacteristic, complemented
167#11762667C2211yescharacteristic, complemented
168#11762665C2211yescharacteristic, complemented
169#11762665C2211yescharacteristic, complemented
170#11762664C2211yescharacteristic, complemented
171#11762664C2211yescharacteristic, complemented
172#95×D17C2211yescharacteristic, complemented
173#95×D17C2211yescharacteristic, complemented
174C2×C17×#127C2211yescharacteristic, complemented
175C2×C17×#121C2211yescharacteristic, complemented
176C2×C17×#121C2211yescharacteristic, complemented
177C2×C17×#120C2211yescharacteristic
178C2×C17×#120C2211yescharacteristic, complemented
179C2×C17×#120C2211yescharacteristic, complemented
180C17×#394C2211yescharacteristic, complemented
181C17×#394C2211yescharacteristic, complemented
182C17×#392C2211yescharacteristic
183C17×#392C2211yescharacteristic
184C17×#392C2211yescharacteristic, complemented
185C17×#392C2211yescharacteristic, complemented
186C17×#388C2211yescharacteristic, complemented
187C17×#388C2211yescharacteristic, complemented
188C17×#386C2211yescharacteristic, complemented
189C25×C17C2311yescharacteristic
190C24×D17C2311yescharacteristic
191C24×D17C2311yescharacteristic
192C22×D4×C17C2311yescharacteristic
193C22×D4×C17C2311yescharacteristic
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
204C23×C4×C17C2311yescharacteristic
205C22×C22⋊D17—24no—
206C22×C22⋊D17—42no—
207C22×C22⋊D17—42no—
208C22×C22⋊D17C2311yescharacteristic
209C22×C22⋊D17C2311yescharacteristic
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
222C23×Dic17C2311yescharacteristic
223C23×Dic17C2311yescharacteristic
224C2×D4×D17—24no—
225C2×D4×D17—42no—
226C2×D4×D17—42no—
227C22×D68C2311yescharacteristic
228C22×C4×D17C2311yescharacteristic
229C22×C4×D17C2311yescharacteristic
230C22×C4×D17C2311yescharacteristic
231C22×C4×D17C2311yescharacteristic
232C22×C4×D17C2311yescharacteristic
233C22×C4×D17C2311yescharacteristic
234C22×C4×D17C2311yescharacteristic
235C22×Dic34C2311yescharacteristic
236C17×#127—42no—
237C17×#121—24no—
238C17×#121—42no—
239C17×#120—24no—
240C17×#120—42no—
241C17×#120—42no—
242C2×C4⋊C4×C17C2311yescharacteristic
243C2×C4⋊C4×C17C2311yescharacteristic
244C2×C22⋊C4×C17C2311yescharacteristic
245C2×C22⋊C4×C17C2311yescharacteristic
246C2×C22⋊C4×C17C2311yescharacteristic
247C2×C22⋊C4×C17C2311yescharacteristic
248C2×C22⋊C4×C17C2311yescharacteristic
249C2×C22⋊C4×C17C2311yescharacteristic
250C2×C22⋊C4×C17C2311yescharacteristic
251C2×C22⋊C4×C17C2311yescharacteristic
252C2×C22⋊C4×C17C2311yescharacteristic
253C2×C22⋊C4×C17C2311yescharacteristic
254C2×C22⋊C4×C17C2311yescharacteristic
255C2×C22⋊C4×C17C2311yescharacteristic
256C2×C22⋊C4×C17C2311yescharacteristic
257C2×C22⋊C4×C17C2311yescharacteristic
258C2×C42×C17C2311yescharacteristic
259#10587639—24no—
260C2×C22⋊Dic17C2311yescharacteristic
261C2×C22⋊Dic17C2311yescharacteristic
262C2×C22⋊Dic17C2311yescharacteristic
263C2×C22⋊Dic17C2311yescharacteristic
264C2×C22⋊Dic17C2311yescharacteristic
265C2×C22⋊Dic17C2311yescharacteristic
266C2×C22⋊Dic17C2311yescharacteristic
267C2×C22⋊Dic17C2311yescharacteristic
268C2×C22⋊Dic17C2311yescharacteristic
269C2×C22⋊Dic17C2311yescharacteristic
270C2×C22⋊Dic17C2311yescharacteristic
271C2×C22⋊Dic17C2311yescharacteristic
272C2×C22⋊Dic17C2311yescharacteristic
273C2×C22⋊Dic17C2311yescharacteristic
274C2×C22⋊Dic17C2311yescharacteristic
275C2×C22⋊Dic17C2311yescharacteristic
276C2×C22⋊Dic17C2311yescharacteristic
277C2×C22⋊Dic17C2311yescharacteristic
278C2×C22⋊Dic17C2311yescharacteristic
279C2×C22⋊Dic17C2311yescharacteristic
280C2×C22⋊Dic17C2311yescharacteristic
281C2×C22⋊Dic17C2311yescharacteristic
282C2×C22⋊Dic17C2311yescharacteristic
283C2×C22⋊Dic17C2311yescharacteristic
284C2×C22⋊Dic17C2311yescharacteristic
285C2×C22⋊Dic17C2311yescharacteristic
286C2×C22⋊Dic17C2311yescharacteristic
287C2×C22⋊Dic17C2311yescharacteristic
288C2×C22⋊Dic17C2311yescharacteristic
289C2×C22⋊Dic17C2311yescharacteristic
290#10587625—24no—
291#10587625—42no—
292#10587624—24no—
293#10587624—24no—
294#10587624—24no—
295#10587624—42no—
296#10587624—42no—
297#10587624—42no—
298#10587624—42no—
299#10587624—42no—
300#10587624—42no—
301#10587623—24no—
302#10587623—24no—
303#10587623—24no—
304#10587623—24no—
305#10587623—42no—
306#10587623—42no—
307#10587622—24no—
308#10587621—24no—
309#10587621—24no—
310#10587615—24no—
311C4×C22⋊D17—24no—
312C2×#63227C2311yescharacteristic
313C2×#63227C2311yescharacteristic
314C2×#63227C2311yescharacteristic
315C2×#63227C2311yescharacteristic
316C2×#63227C2311yescharacteristic
317C2×#63227C2311yescharacteristic
318C2×#63227C2311yescharacteristic
319C2×#63227C2311yescharacteristic
320C2×#63227C2311yescharacteristic
321C2×#63227C2311yescharacteristic
322C2×#63227C2311yescharacteristic
323C2×#63227C2311yescharacteristic
324C2×#63227C2311yescharacteristic
325C2×#63227C2311yescharacteristic
326C2×#63227C2311yescharacteristic
327C2×#63227C2311yescharacteristic
328C2×#63227C2311yescharacteristic
329C2×#63227C2311yescharacteristic
330C2×C4⋊Dic17C2311yescharacteristic
331C2×C4⋊Dic17C2311yescharacteristic
332C2×C4⋊Dic17C2311yescharacteristic
333C2×C4⋊Dic17C2311yescharacteristic
334C2×C4⋊Dic17C2311yescharacteristic
335C2×C4⋊Dic17C2311yescharacteristic
336C2×C4⋊Dic17C2311yescharacteristic
337C2×C4⋊Dic17C2311yescharacteristic
338C2×C4⋊Dic17C2311yescharacteristic
339C2×C4⋊Dic17C2311yescharacteristic
340C2×#63225C2311yescharacteristic
341C2×#63225C2311yescharacteristic
342C2×#63225C2311yescharacteristic
343C2×#63225C2311yescharacteristic
344C2×#63225C2311yescharacteristic
345C2×#63225C2311yescharacteristic
346C2×#63225C2311yescharacteristic
347C2×#63225C2311yescharacteristic
348C2×#63225C2311yescharacteristic
349C2×#63225C2311yescharacteristic
350C2×C4×Dic17C2311yescharacteristic
351C2×C4×Dic17C2311yescharacteristic
352C2×C4×Dic17C2311yescharacteristic
353C2×C4×Dic17C2311yescharacteristic
354C2×C4×Dic17C2311yescharacteristic
355#10587584—24no—
356#10587582—24no—
357C4⋊C4×D17—42no—
358#10587572—24no—
359#10587571—24no—
360#10587571—42no—
361#10587570—24no—
362#10587570—24no—
363#10587570—42no—
364#10587570—42no—
365#10587569—24no—
366#10587569—24no—
367#10587567—24no—
368C22⋊C4×D17—42no—
369C22⋊C4×D17—42no—
370C22⋊C4×D17D418yescomplemented
371#10587565—24no—
372C42×D17—42no—
373C17×#95C2311yescharacteristic
374C17×#95C2311yescharacteristic
375C17×#95C2311yescharacteristic
376C17×#95C2311yescharacteristic
377#10587502C2311yescharacteristic
378#10587502C2311yescharacteristic
379#10587502C2311yescharacteristic
380#10587502C2311yescharacteristic
381#10587502C2311yescharacteristic
382#10587502C2311yescharacteristic
383#10587502C2311yescharacteristic
384#10587502C2311yescharacteristic
385#10587502C2311yescharacteristic
386#10587502C2311yescharacteristic
387#10587502C2311yescharacteristic
388#10587502C2311yescharacteristic
389#10587502C2311yescharacteristic
390#10587502C2311yescharacteristic
391#10587502C2311yescharacteristic
392#10587502C2311yescharacteristic
393#10587502C2311yescharacteristic
394#10587502C2311yescharacteristic
395#10587502C2311yescharacteristic
396#10587502C2311yescharacteristic
397C24×C17—22no—
398C24×C17—41no—
399C24×C17—41no—
400C24×C17—41no—
401C24×C17—41no—
402C24×C17—41no—
403C24×C17—41no—
404C24×C17C2411yescharacteristic
405C24×C17C2411yescharacteristic
406C24×C17C2411yescharacteristic
407C24×C17C2411yescharacteristic
408C24×C17C2411yescharacteristic
409C24×C17C2411yescharacteristic
410C23×D17—22no—
411C23×D17—22no—
412C23×D17—22no—
413C23×D17—41no—
414C23×D17—41no—
415C23×D17—41no—
416C23×D17—41no—
417C23×D17—41no—
418C23×D17—41no—
419C23×D17—41no—
420C23×D17—41no—
421C23×D17—41no—
422C23×D17—41no—
423C23×D17C2×D414yes—
424C23×D17C2411yescharacteristic
425C23×D17C2411yescharacteristic
426C23×D17C2411yescharacteristic
427C2×D4×C17—22no—
428C2×D4×C17—22no—
429C2×D4×C17—22no—
430C2×D4×C17—22no—
431C2×D4×C17—22no—
432C2×D4×C17—22no—
433C2×D4×C17—22no—
434C2×D4×C17—22no—
435C2×D4×C17—22no—
436C2×D4×C17—22no—
437C2×D4×C17—41no—
438C2×D4×C17—41no—
439C2×D4×C17—41no—
440C2×D4×C17—41no—
441C2×D4×C17—41no—
442C2×D4×C17—41no—
443C2×D4×C17—41no—
444C2×D4×C17—41no—
445C2×D4×C17—41no—
446C2×D4×C17—41no—
447C2×D4×C17—41no—
448C2×D4×C17—41no—
449C2×D4×C17—41no—
450C2×D4×C17—41no—
451C2×D4×C17—41no—
452C2×D4×C17—41no—
453C2×D4×C17—41no—
454C2×D4×C17—41no—
455C2×D4×C17—41no—
456C2×D4×C17—41no—
457C2×D4×C17—41no—
458C2×D4×C17—41no—
459C2×D4×C17—41no—
460C2×D4×C17—41no—
461C2×D4×C17—41no—
462C2×D4×C17—41no—
463C22×C4×C17—22no—
464C22×C4×C17—41no—
465C22×C4×C17—41no—
466C22×C4×C17C2411yescharacteristic
467C22×C4×C17C2411yescharacteristic
468C22×C4×C17C2411yescharacteristic
469C22×C4×C17C2411yescharacteristic
470C22×C4×C17C2411yescharacteristic
471C22×C4×C17C2411yescharacteristic
472C22×C4×C17C2411yescharacteristic
473C22×C4×C17C2411yescharacteristic
474C22×C4×C17C2411yescharacteristic
475C2×C22⋊D17—22no—
476C2×C22⋊D17—22no—
477C2×C22⋊D17—22no—
478C2×C22⋊D17—22no—
479C2×C22⋊D17—22no—
480C2×C22⋊D17—22no—
481C2×C22⋊D17—22no—
482C2×C22⋊D17—22no—
483C2×C22⋊D17—22no—
484C2×C22⋊D17—22no—
485C2×C22⋊D17—22no—
486C2×C22⋊D17—22no—
487C2×C22⋊D17—22no—
488C2×C22⋊D17—22no—
489C2×C22⋊D17—22no—
490C2×C22⋊D17—22no—
491C2×C22⋊D17—22no—
492C2×C22⋊D17—22no—
493C2×C22⋊D17—22no—
494C2×C22⋊D17—22no—
495C2×C22⋊D17—22no—
496C2×C22⋊D17—22no—
497C2×C22⋊D17—41no—
498C2×C22⋊D17—41no—
499C2×C22⋊D17—41no—
500C2×C22⋊D17—41no—
501C2×C22⋊D17—41no—
502C2×C22⋊D17—41no—
503C2×C22⋊D17—41no—
504C2×C22⋊D17—41no—
505C2×C22⋊D17—41no—
506C2×C22⋊D17—41no—
507C2×C22⋊D17—41no—
508C2×C22⋊D17—41no—
509C2×C22⋊D17—41no—
510C2×C22⋊D17—41no—
511C2×C22⋊D17—41no—
512C2×C22⋊D17—41no—
513C2×C22⋊D17—41no—
514C2×C22⋊D17—41no—
515C2×C22⋊D17—41no—
516C2×C22⋊D17—41no—
517C2×C22⋊D17—416no—
518C22×Dic17—22no—
519C22×Dic17—22no—
520C22×Dic17—41no—
521C22×Dic17—41no—
522C22×Dic17—41no—
523C22×Dic17—41no—
524C22×Dic17C2411yescharacteristic
525C22×Dic17C2411yescharacteristic
526C22×Dic17C2411yescharacteristic
527C22×Dic17C2411yescharacteristic
528C22×Dic17C2411yescharacteristic
529C22×Dic17C2411yescharacteristic
530C22×Dic17C2411yescharacteristic
531C22×Dic17C2411yescharacteristic
532C22×Dic17C2411yescharacteristic
533C22×Dic17C2411yescharacteristic
534C22×Dic17C2411yescharacteristic
535C22×Dic17C2411yescharacteristic
536C22×Dic17C2411yescharacteristic
537D4×D17—416no—
538C2×D68—22no—
539C2×D68—22no—
540C2×D68—22no—
541C2×C4×D17—22no—
542C2×C4×D17—22no—
543C2×C4×D17—22no—
544C2×C4×D17—22no—
545C2×C4×D17—22no—
546C2×C4×D17—22no—
547C2×C4×D17—22no—
548C2×C4×D17—41no—
549C2×C4×D17—41no—
550C2×C4×D17—41no—
551C2×C4×D17—41no—
552C2×C4×D17—41no—
553C2×C4×D17—41no—
554C2×C4×D17—41no—
555C2×C4×D17—41no—
556C2×C4×D17—41no—
557C2×C4×D17—41no—
558C2×C4×D17—41no—
559C2×C4×D17—41no—
560C2×C4×D17C2×D414yes—
561C2×C4×D17C2×D414yes—
562C2×Dic34—22no—
563C2×Dic34—41no—
564C2×Dic34—41no—
565C4⋊C4×C17—22no—
566C4⋊C4×C17—22no—
567C22⋊C4×C17—22no—
568C22⋊C4×C17—22no—
569C22⋊C4×C17—22no—
570C22⋊C4×C17—22no—
571C22⋊C4×C17—22no—
572C22⋊C4×C17—22no—
573C22⋊C4×C17—22no—
574C22⋊C4×C17—41no—
575C22⋊C4×C17—41no—
576C22⋊C4×C17—41no—
577C22⋊C4×C17—41no—
578C22⋊C4×C17—41no—
579C22⋊C4×C17—41no—
580C22⋊C4×C17C2×D414yes—
581C42×C17—22no—
582C22⋊Dic17—22no—
583C22⋊Dic17—22no—
584C22⋊Dic17—22no—
585C22⋊Dic17—22no—
586C22⋊Dic17—22no—
587C22⋊Dic17—22no—
588C22⋊Dic17—22no—
589C22⋊Dic17—22no—
590C22⋊Dic17—22no—
591C22⋊Dic17—41no—
592C22⋊Dic17—41no—
593C22⋊Dic17—41no—
594C22⋊Dic17—41no—
595C22⋊Dic17—41no—
596C22⋊Dic17—41no—
597C22⋊Dic17—41no—
598C22⋊Dic17—41no—
599C22⋊Dic17—41no—
600C22⋊Dic17—41no—
601C22⋊Dic17—41no—
602C22⋊Dic17—41no—
603C22⋊Dic17—41no—
604C22⋊Dic17—41no—
605C22⋊Dic17—41no—
606C22⋊Dic17—41no—
607C22⋊Dic17—41no—
608C22⋊Dic17—41no—
609C22⋊Dic17—41no—
610C22⋊Dic17—41no—
611C22⋊Dic17C2×D414yes—
612#63227—22no—
613#63227—22no—
614#63227—22no—
615#63227—22no—
616#63227—22no—
617#63227—22no—
618#63227—22no—
619#63227—22no—
620#63227—22no—
621#63227—22no—
622#63227—41no—
623#63227—41no—
624#63227—41no—
625#63227—41no—
626#63227—41no—
627#63227—41no—
628#63227C2×D414yes—
629#63227C2×D414yes—
630C4⋊Dic17—22no—
631C4⋊Dic17—22no—
632C4⋊Dic17—22no—
633C4⋊Dic17—41no—
634C4⋊Dic17—41no—
635C4⋊Dic17—41no—
636C4⋊Dic17—41no—
637C4⋊Dic17—41no—
638C4⋊Dic17—41no—
639C4⋊Dic17—41no—
640#63225—22no—
641#63225—22no—
642#63225—22no—
643#63225—22no—
644#63225—22no—
645#63225—22no—
646#63225—22no—
647#63225—41no—
648#63225—41no—
649#63225—41no—
650C4×Dic17—22no—
651C4×Dic17—22no—
652C4×Dic17—22no—
653C4×Dic17—41no—
654C4×Dic17—41no—
655#36739—171nomaximal, Sylow
656C23×C17—21no—
657C23×C17—21no—
658C23×C17—21no—
659C23×C17—21no—
660C23×C17—21no—
661C23×C17—21no—
662C23×C17—21no—
663C23×C17—21no—
664C23×C17—21no—
665C23×C17—21no—
666C23×C17—21no—
667C23×C17—21no—
668C23×C17—21no—
669C23×C17—21no—
670C23×C17—21no—
671C23×C17—21no—
672C23×C17—21no—
673C23×C17—21no—
674C23×C17—21no—
675C23×C17—21no—
676C23×C17—21no—
677C23×C17—21no—
678C23×C17—21no—
679C23×C17—21no—
680C23×C17—21no—
681C23×C17—21no—
682C23×C17—21no—
683C23×C17—21no—
684C23×C17—21no—
685C23×C17—21no—
686C23×C17—21no—
687C23×C17—21no—
688C23×C17—21no—
689C23×C17—21no—
690C23×C17—21no—
691C23×C17—21no—
692C23×C17—21no—
693C23×C17—21no—
694C23×C17—21no—
695C23×C17—21no—
696C23×C17—21no—
697C23×C17—44no—
698C23×C17—82no—
699C23×C17—82no—
700C23×C17—82no—
701C23×C17—82no—
702C23×C17—82no—
703C23×C17—82no—
704C23×C17C22×D412yes—
705C23×C17C2511yescharacteristic
706C22×D17—21no—
707C22×D17—21no—
708C22×D17—21no—
709C22×D17—21no—
710C22×D17—21no—
711C22×D17—21no—
712C22×D17—21no—
713C22×D17—21no—
714C22×D17—21no—
715C22×D17—21no—
716C22×D17—28no—
717C22×D17—21no—
718C22×D17—21no—
719C22×D17—21no—
720C22×D17—21no—
721C22×D17—21no—
722C22×D17—21no—
723C22×D17—21no—
724C22×D17—44no—
725C22×D17—44no—
726C22×D17—44no—
727C22×D17—82no—
728C22×D17—82no—
729C22×D17—82no—
730C22×D17—82no—
731C22×D17—82no—
732C22×D17—82no—
733C22×D17—82no—
734C22×D17—82no—
735C22×D17—82no—
736C22×D17—82no—
737C22×D17C22×D412yes—
738C22×D17C22×D412yes—
739C22×D17H(5,𝔽2)12yes—
740C22×D17H(5,𝔽2)12yes—
741D4×C17—44no—
742D4×C17—82no—
743D4×C17—82no—
744D4×C17—82no—
745D4×C17—82no—
746D4×C17—82no—
747D4×C17—82no—
748D4×C17—82no—
749D4×C17—82no—
750D4×C17—82no—
751D4×C17—82no—
752D4×C17—82no—
753C2×C4×C17—21no—
754C2×C4×C17—21no—
755C2×C4×C17—21no—
756C2×C4×C17—21no—
757C2×C4×C17—21no—
758C2×C4×C17—21no—
759C2×C4×C17—21no—
760C2×C4×C17—21no—
761C2×C4×C17—21no—
762C2×C4×C17—21no—
763C2×C4×C17—21no—
764C2×C4×C17—21no—
765C2×C4×C17—21no—
766C2×C4×C17—21no—
767C2×C4×C17—21no—
768C2×C4×C17—21no—
769C2×C4×C17—21no—
770C2×C4×C17—21no—
771C2×C4×C17—21no—
772C2×C4×C17—21no—
773C2×C4×C17—21no—
774C2×C4×C17—21no—
775C2×C4×C17—21no—
776C2×C4×C17—82no—
777C2×C4×C17C22×D412yes—
778C2×C4×C17C22×D412yes—
779C2×C4×C17H(5,𝔽2)12yes—
780C2×C4×C17H(5,𝔽2)12yes—
781C22⋊D17—44no—
782C22⋊D17—44no—
783C22⋊D17—44no—
784C22⋊D17—44no—
785C22⋊D17—44no—
786C22⋊D17—44no—
787C22⋊D17—44no—
788C22⋊D17—44no—
789C22⋊D17—82no—
790C22⋊D17—82no—
791C22⋊D17—82no—
792C22⋊D17—82no—
793C22⋊D17—82no—
794C22⋊D17—82no—
795C2×Dic17—21no—
796C2×Dic17—21no—
797C2×Dic17—21no—
798C2×Dic17—21no—
799C2×Dic17—21no—
800C2×Dic17—21no—
801C2×Dic17—21no—
802C2×Dic17—21no—
803C2×Dic17—21no—
804C2×Dic17—21no—
805C2×Dic17—21no—
806C2×Dic17—21no—
807C2×Dic17—21no—
808C2×Dic17—21no—
809C2×Dic17—21no—
810C2×Dic17—21no—
811C2×Dic17—21no—
812C2×Dic17—21no—
813C2×Dic17—21no—
814C2×Dic17—21no—
815C2×Dic17—21no—
816C2×Dic17—21no—
817C2×Dic17—21no—
818C2×Dic17—21no—
819C2×Dic17—21no—
820C2×Dic17—21no—
821C2×Dic17—21no—
822C2×Dic17—21no—
823C2×Dic17—21no—
824C2×Dic17—21no—
825C2×Dic17—21no—
826C2×Dic17—21no—
827C2×Dic17—21no—
828C2×Dic17—21no—
829C2×Dic17—21no—
830C2×Dic17—21no—
831C2×Dic17—21no—
832C2×Dic17—44no—
833C2×Dic17—82no—
834C2×Dic17C22×D412yes—
835C2×Dic17C22×D412yes—
836D68—44no—
837C4×D17—44no—
838C4×D17—44no—
839C4×D17—44no—
840C4×D17—44no—
841C4×D17—44no—
842C4×D17—82no—
843C4×D17—82no—
844Dic34—82no—
845C2×#538—171no—
846C2×#534—171no—
847#2856—171no—
848#2850—171no—
849#2718—171no—
850#2718—171no—
851#2710—171no—
852#2710—171no—
853#2706—171no—
854#2706—171no—
855#2703—171no—
856#2703—171no—
857#2685—171no—
858#2685—171no—
859#2678—171no—
860#2678—171no—
861#2670—171no—
862#2670—171no—
863#2669—171no—
864#2669D1711yescharacteristic, complemented
865#2656—171no—
866#2639—171no—
867#2543—171no—
868#2543—171no—
869#2416—171no—
870#2416—171no—
871#2410—171no—
872#2410—171no—
873#2410—171no—
874#2410—171no—
875C2×#388—171no—
876C22×C17—22no—
877C22×C17—22no—
878C22×C17—22no—
879C22×C17—41no—
880C22×C17—41no—
881C22×C17—41no—
882C22×C17—41no—
883C22×C17—41no—
884C22×C17—41no—
885C22×C17—41no—
886C22×C17—41no—
887C22×C17—41no—
888C22×C17—41no—
889C22×C17—41no—
890C22×C17—41no—
891C22×C17—41no—
892C22×C17—41no—
893C22×C17—41no—
894C22×C17—41no—
895C22×C17—41no—
896C22×C17—41no—
897C22×C17—41no—
898C22×C17—41no—
899C22×C17—41no—
900C22×C17—41no—
901C22×C17—41no—
902C22×C17—41no—
903C22×C17—41no—
904C22×C17—41no—
905C22×C17—41no—
906C22×C17—41no—
907C22×C17—41no—
908C22×C17—41no—
909C22×C17—41no—
910C22×C17—41no—
911C22×C17—41no—
912C22×C17—41no—
913C22×C17—41no—
914C22×C17—41no—
915C22×C17—41no—
916C22×C17—41no—
917C22×C17—41no—
918C22×C17—88no—
919C22×C17C23×D411yescharacteristic
920C22×C17C2×H(5,𝔽2)11yescharacteristic
921C22×C17C2×H(5,𝔽2)11yescharacteristic
922C22×C17C2×H(5,𝔽2)11yescharacteristic
923C22×C17C2×H(5,𝔽2)11yescharacteristic
924C22×C17#58511yescharacteristic
925C22×C17#58511yescharacteristic
926C2×D17—22no—
927C2×D17—22no—
928C2×D17—22no—
929C2×D17—22no—
930C2×D17—22no—
931C2×D17—22no—
932C2×D17—22no—
933C2×D17—22no—
934C2×D17—22no—
935C2×D17—41no—
936C2×D17—41no—
937C2×D17—41no—
938C2×D17—41no—
939C2×D17—41no—
940C2×D17—41no—
941C2×D17—41no—
942C2×D17—41no—
943C2×D17—41no—
944C2×D17—41no—
945C2×D17—41no—
946C2×D17—88no—
947C2×D17—88no—
948C2×D17#53514yes—
949C4×C17—22no—
950C4×C17—22no—
951C4×C17—22no—
952C4×C17—22no—
953C4×C17—41no—
954C4×C17—41no—
955C4×C17—41no—
956C4×C17—41no—
957C4×C17—41no—
958Dic17—22no—
959Dic17—22no—
960Dic17—41no—
961Dic17—41no—
962Dic17—41no—
963Dic17—41no—
964Dic17—41no—
965Dic17—41no—
966Dic17—41no—
967Dic17—41no—
968Dic17—41no—
969Dic17—41no—
970Dic17—41no—
971C23×D4—171no—
972C23×D4—171no—
973#538—348no—
974#534—348no—
975C2×#127C2×D1711yescharacteristic, complemented
976C2×#126—171no—
977C2×#126—171no—
978C2×#124—171no—
979C2×#124—171no—
980C2×#124—171no—
981C2×#123—171no—
982C2×#123—171no—
983C2×#123—171no—
984C2×#123—171no—
985C2×#123—171no—
986C2×#123—171no—
987C2×C22⋊Q8—171no—
988C2×#121—171no—
989C2×#121—171no—
990C2×#121—171no—
991C2×#121—171no—
992C2×#121—171no—
993C2×#121—171no—
994C2×#121—171no—
995C2×#121—171no—
996C2×#121—171no—
997C2×#121—171no—
998C2×#121—171no—
999C2×#121—171no—
1000C2×#121—171no—
1001C2×#121—171no—
1002C2×#121—171no—
1003C2×#121C2×D1711yescharacteristic, complemented
1004C2×#121C2×D1711yescharacteristic, complemented
1005C2×#120—171no—
1006C2×#120—171no—
1007C2×#120—171no—
1008C2×#120—171no—
1009C2×#120—171no—
1010C2×#120—171no—
1011C2×#120—171no—
1012C2×#120C2×D1711yescharacteristic
1013C2×#120C2×D1711yescharacteristic, complemented
1014C2×#120C2×D1711yescharacteristic, complemented
1015C2×C4×D4—171no—
1016C2×C4×D4—171no—
1017C22×C4⋊C4—171no—
1018C22×C22⋊C4—171no—
1019C22×C22⋊C4—171no—
1020C22×C22⋊C4—171no—
1021C22×C42—171no—
1022#400—171no—
1023#400—171no—
1024#399—171no—
1025#399—171no—
1026#399—171no—
1027#399—171no—
1028#398—171no—
1029#398—171no—
1030#397—171no—
1031#397—171no—
1032#397—171no—
1033#397—171no—
1034#396—171no—
1035#396—171no—
1036#396—171no—
1037#396—171no—
1038#394—171no—
1039#394—171no—
1040#394—171no—
1041#394—171no—
1042#394—171no—
1043#394—171no—
1044#394—171no—
1045#394—171no—
1046#394—171no—
1047#394—171no—
1048#394—171no—
1049#394—171no—
1050#394—171no—
1051#394—171no—
1052#394C2×D1711yescharacteristic, complemented
1053#394C2×D1711yescharacteristic, complemented
1054#393—171no—
1055#393—171no—
1056#392—171no—
1057#392—171no—
1058#392—171no—
1059#392—171no—
1060#392—171no—
1061#392—171no—
1062#392—171no—
1063#392—171no—
1064#392—171no—
1065#392—171no—
1066#392C2×D1711yescharacteristic
1067#392C2×D1711yescharacteristic
1068#392C2×D1711yescharacteristic, complemented
1069#392C2×D1711yescharacteristic, complemented
1070#391—171no—
1071#390—171no—
1072#390—171no—
1073#390—171no—
1074#390—171no—
1075#390—171no—
1076#390—171no—
1077#390—171no—
1078#390—171no—
1079#390—171no—
1080#389—171no—
1081#389—171no—
1082#388—171no—
1083#388—171no—
1084#388—171no—
1085#388—171no—
1086#388—171no—
1087#388—171no—
1088#388—171no—
1089#388—171no—
1090#388—171no—
1091#388—171no—
1092#388—171no—
1093#388—171no—
1094#388—171no—
1095#388—171no—
1096#388C2×D1711yescharacteristic, complemented
1097#388C2×D1711yescharacteristic, complemented
1098#386—171no—
1099#386—171no—
1100#386—171no—
1101#386—171no—
1102#386—171no—
1103#386—171no—
1104#386—171no—
1105#386—171no—
1106#386—171no—
1107#386—171no—
1108#386—171no—
1109#386—171no—
1110#386—171no—
1111#386—171no—
1112#386—171no—
1113#386C2×D1711yescharacteristic, complemented
1114#385—171no—
1115#385—171no—
1116#385—171no—
1117#385—171no—
1118#384—171no—
1119#382—171no—
1120#380—171no—
1121#380—171no—
1122#379—171no—
1123#379—171no—
1124#379—171no—
1125#379—171no—
1126C2×#95—171no—
1127C2×#95—171no—
1128C2×C17—42no—
1129C2×C17—81no—
1130C2×C17—81no—
1131C2×C17—81no—
1132C2×C17—81no—
1133C2×C17—81no—
1134C2×C17C2×#53511yescharacteristic
1135C2×C17#349611yescharacteristic
1136C2×C17#349611yescharacteristic
1137C2×C17#353411yescharacteristic
1138C2×C17#353711yescharacteristic
1139C2×C17#355811yescharacteristic
1140C2×C17#356011yescharacteristic
1141D17—24no—
1142D17—42no—
1143D17—81no—
1144C25—171no—
1145C25—171no—
1146C25C22×D1711yescharacteristic
1147C22×Q8—171no—
1148C22×D4—171no—
1149C22×D4—171no—
1150C22×D4—171no—
1151C22×D4—171no—
1152C22×D4—171no—
1153C22×D4—171no—
1154C22×D4—171no—
1155C22×D4—171no—
1156C22×D4—171no—
1157C22×D4—171no—
1158C22×D4—171no—
1159C22×D4—171no—
1160C22×D4—171no—
1161C22×D4—171no—
1162C22×D4—171no—
1163C22×D4—344no—
1164C22×D4—344no—
1165C22×D4—682no—
1166C22×D4—682no—
1167C22×D4—682no—
1168C22×D4—682no—
1169C22×D4C22×D1711yescharacteristic
1170C22×D4C22×D1711yescharacteristic
1171C22×D4C22×D1711yescharacteristic
1172C22×D4C22×D1711yescharacteristic
1173C22×D4C22×D1711yescharacteristic
1174C22×D4C22×D1711yescharacteristic
1175C22×D4C22×D1711yescharacteristic
1176C22×D4C22×D1711yescharacteristic
1177C22×D4C22×D1711yescharacteristic
1178C22×D4C22×D1711yescharacteristic
1179C22×D4C22×D1711yescharacteristic
1180C22×D4C22×D1711yescharacteristic
1181C23×C4—171no—
1182C23×C4—171no—
1183C23×C4—171no—
1184C23×C4—171no—
1185C23×C4—171no—
1186C23×C4—171no—
1187C23×C4—171no—
1188C23×C4—171no—
1189C23×C4—171no—
1190C23×C4C22×D1711yescharacteristic
1191#127—42no—
1192#126—344no—
1193#126—344no—
1194#124—344no—
1195#124—344no—
1196#124—682no—
1197#123—344no—
1198#123—344no—
1199#123—344no—
1200#123—344no—
1201#123—344no—
1202#123—344no—
1203C22⋊Q8—344no—
1204#121—24no—
1205#121—42no—
1206#121—344no—
1207#121—344no—
1208#121—344no—
1209#121—344no—
1210#121—344no—
1211#121—344no—
1212#121—682no—
1213#121—682no—
1214#121—682no—
1215#121—682no—
1216#121—682no—
1217#121—682no—
1218#121—682no—
1219#121—682no—
1220#121—682no—
1221#120—24no—
1222#120—42no—
1223#120—42no—
1224#120—344no—
1225#120—344no—
1226#120—344no—
1227#120—344no—
1228#120—344no—
1229#120—682no—
1230#120—682no—
1231C4×D4—344no—
1232C4×D4—344no—
1233C2×C4⋊C4—171no—
1234C2×C4⋊C4—171no—
1235C2×C4⋊C4—171no—
1236C2×C4⋊C4—171no—
1237C2×C4⋊C4—171no—
1238C2×C4⋊C4—171no—
1239C2×C4⋊C4—171no—
1240C2×C4⋊C4—171no—
1241C2×C4⋊C4—171no—
1242C2×C4⋊C4—171no—
1243C2×C4⋊C4—171no—
1244C2×C4⋊C4—171no—
1245C2×C4⋊C4—171no—
1246C2×C4⋊C4—171no—
1247C2×C4⋊C4—171no—
1248C2×C4⋊C4—171no—
1249C2×C4⋊C4—171no—
1250C2×C4⋊C4—171no—
1251C2×C4⋊C4—171no—
1252C2×C4⋊C4—171no—
1253C2×C4⋊C4—682no—
1254C2×C4⋊C4C22×D1711yescharacteristic
1255C2×C4⋊C4C22×D1711yescharacteristic
1256C2×C22⋊C4—171no—
1257C2×C22⋊C4—171no—
1258C2×C22⋊C4—171no—
1259C2×C22⋊C4—178no—
1260C2×C22⋊C4—171no—
1261C2×C22⋊C4—171no—
1262C2×C22⋊C4—171no—
1263C2×C22⋊C4—171no—
1264C2×C22⋊C4—171no—
1265C2×C22⋊C4—171no—
1266C2×C22⋊C4—171no—
1267C2×C22⋊C4—171no—
1268C2×C22⋊C4—171no—
1269C2×C22⋊C4—171no—
1270C2×C22⋊C4—171no—
1271C2×C22⋊C4—171no—
1272C2×C22⋊C4—171no—
1273C2×C22⋊C4—171no—
1274C2×C22⋊C4—171no—
1275C2×C22⋊C4—171no—
1276C2×C22⋊C4—171no—
1277C2×C22⋊C4—171no—
1278C2×C22⋊C4—171no—
1279C2×C22⋊C4—171no—
1280C2×C22⋊C4—171no—
1281C2×C22⋊C4—171no—
1282C2×C22⋊C4—171no—
1283C2×C22⋊C4—171no—
1284C2×C22⋊C4—171no—
1285C2×C22⋊C4—171no—
1286C2×C22⋊C4—171no—
1287C2×C22⋊C4—171no—
1288C2×C22⋊C4—171no—
1289C2×C22⋊C4—171no—
1290C2×C22⋊C4—171no—
1291C2×C22⋊C4—171no—
1292C2×C22⋊C4—171no—
1293C2×C22⋊C4—171no—
1294C2×C22⋊C4—171no—
1295C2×C22⋊C4—171no—
1296C2×C22⋊C4—171no—
1297C2×C22⋊C4—171no—
1298C2×C22⋊C4—171no—
1299C2×C22⋊C4—171no—
1300C2×C22⋊C4—171no—
1301C2×C22⋊C4—171no—
1302C2×C22⋊C4—171no—
1303C2×C22⋊C4—171no—
1304C2×C22⋊C4—171no—
1305C2×C22⋊C4—682no—
1306C2×C22⋊C4—682no—
1307C2×C22⋊C4C22×D1711yescharacteristic
1308C2×C22⋊C4C22×D1711yescharacteristic
1309C2×C22⋊C4C22×D1711yescharacteristic
1310C2×C22⋊C4C22×D1711yescharacteristic
1311C2×C22⋊C4C22×D1711yescharacteristic
1312C2×C22⋊C4C22×D1711yescharacteristic
1313C2×C22⋊C4C22×D1711yescharacteristic
1314C2×C22⋊C4C22×D1711yescharacteristic
1315C2×C22⋊C4C22×D1711yescharacteristic
1316C2×C22⋊C4C22×D1711yescharacteristic
1317C2×C22⋊C4C22×D1711yescharacteristic
1318C2×C22⋊C4C22×D1711yescharacteristic
1319C2×C22⋊C4C22×D1711yescharacteristic
1320C2×C22⋊C4C22×D1711yescharacteristic
1321C2×C42—171no—
1322C2×C42—171no—
1323C2×C42—171no—
1324C2×C42—171no—
1325C2×C42—171no—
1326C2×C42—682no—
1327C2×C42C22×D1711yescharacteristic
1328#95—171no—
1329#95—171no—
1330#95—171no—
1331#95—171no—
1332#95—171no—
1333#95—171no—
1334#95—171no—
1335#95—171no—
1336#95—171no—
1337#95—171no—
1338#95—171no—
1339#95—171no—
1340#95—171no—
1341#95—171no—
1342#95—171no—
1343#95—171no—
1344#95—171no—
1345#95—171no—
1346#95—171no—
1347#95—171no—
1348#95C22×D1711yescharacteristic
1349#95C22×D1711yescharacteristic
1350#95C22×D1711yescharacteristic
1351#95C22×D1711yescharacteristic
1352C17#3673911yescharacteristic, complemented, Sylow
1353C24—22no—
1354C24—41no—
1355C24—41no—
1356C24—41no—
1357C24—41no—
1358C24—41no—
1359C24—41no—
1360C24—171no—
1361C24—171no—
1362C24—174no—
1363C24—171no—
1364C24—342no—
1365C24—342no—
1366C24—342no—
1367C24—681no—
1368C24—681no—
1369C24—681no—
1370C24—681no—
1371C24—681no—
1372C24—681no—
1373C24—681no—
1374C24—681no—
1375C24—681no—
1376C24—681no—
1377C24C23×D1711yescharacteristic
1378C24C23×D1711yescharacteristic
1379C24C23×D1711yescharacteristic
1380C24C23×D1711yescharacteristic
1381C24C23×D1711yescharacteristic
1382C24C23×D1711yescharacteristic
1383C2×Q8—342no—
1384C2×Q8—681no—
1385C2×Q8—681no—
1386C2×D4—22no—
1387C2×D4—22no—
1388C2×D4—22no—
1389C2×D4—22no—
1390C2×D4—22no—
1391C2×D4—22no—
1392C2×D4—22no—
1393C2×D4—22no—
1394C2×D4—22no—
1395C2×D4—22no—
1396C2×D4—41no—
1397C2×D4—41no—
1398C2×D4—41no—
1399C2×D4—41no—
1400C2×D4—41no—
1401C2×D4—41no—
1402C2×D4—41no—
1403C2×D4—41no—
1404C2×D4—41no—
1405C2×D4—41no—
1406C2×D4—41no—
1407C2×D4—41no—
1408C2×D4—41no—
1409C2×D4—41no—
1410C2×D4—41no—
1411C2×D4—41no—
1412C2×D4—41no—
1413C2×D4—41no—
1414C2×D4—41no—
1415C2×D4—41no—
1416C2×D4—41no—
1417C2×D4—41no—
1418C2×D4—41no—
1419C2×D4—41no—
1420C2×D4—41no—
1421C2×D4—41no—
1422C2×D4—342no—
1423C2×D4—342no—
1424C2×D4—342no—
1425C2×D4—342no—
1426C2×D4—342no—
1427C2×D4—342no—
1428C2×D4—342no—
1429C2×D4—342no—
1430C2×D4—342no—
1431C2×D4—342no—
1432C2×D4—342no—
1433C2×D4—342no—
1434C2×D4—342no—
1435C2×D4—342no—
1436C2×D4—342no—
1437C2×D4—342no—
1438C2×D4—342no—
1439C2×D4—342no—
1440C2×D4—342no—
1441C2×D4—342no—
1442C2×D4—342no—
1443C2×D4—342no—
1444C2×D4—342no—
1445C2×D4—342no—
1446C2×D4—342no—
1447C2×D4—681no—
1448C2×D4—681no—
1449C2×D4—681no—
1450C2×D4—681no—
1451C2×D4—681no—
1452C2×D4—681no—
1453C2×D4—681no—
1454C2×D4—681no—
1455C2×D4—681no—
1456C2×D4—681no—
1457C2×D4—681no—
1458C2×D4—681no—
1459C2×D4—681no—
1460C2×D4—681no—
1461C2×D4—681no—
1462C2×D4—681no—
1463C2×D4—681no—
1464C2×D4—681no—
1465C2×D4—681no—
1466C2×D4—681no—
1467C2×D4—6816no—
1468C2×D4—6816no—
1469C22×C4—22no—
1470C22×C4—41no—
1471C22×C4—41no—
1472C22×C4—171no—
1473C22×C4—171no—
1474C22×C4—174no—
1475C22×C4—174no—
1476C22×C4—171no—
1477C22×C4—171no—
1478C22×C4—171no—
1479C22×C4—171no—
1480C22×C4—171no—
1481C22×C4—171no—
1482C22×C4—171no—
1483C22×C4—171no—
1484C22×C4—171no—
1485C22×C4—171no—
1486C22×C4—171no—
1487C22×C4—342no—
1488C22×C4—342no—
1489C22×C4—342no—
1490C22×C4—342no—
1491C22×C4—342no—
1492C22×C4—342no—
1493C22×C4—342no—
1494C22×C4—342no—
1495C22×C4—342no—
1496C22×C4—681no—
1497C22×C4—681no—
1498C22×C4—681no—
1499C22×C4—681no—
1500C22×C4—681no—
1501C22×C4—681no—
1502C22×C4—681no—
1503C22×C4—681no—
1504C22×C4—681no—
1505C22×C4—681no—
1506C22×C4—681no—
1507C22×C4—681no—
1508C22×C4—681no—
1509C22×C4—681no—
1510C22×C4—681no—
1511C22×C4—681no—
1512C22×C4C23×D1711yescharacteristic
1513C22×C4C23×D1711yescharacteristic
1514C22×C4C23×D1711yescharacteristic
1515C22×C4C23×D1711yescharacteristic
1516C22×C4C23×D1711yescharacteristic
1517C22×C4C23×D1711yescharacteristic
1518C22×C4C23×D1711yescharacteristic
1519C22×C4C23×D1711yescharacteristic
1520C22×C4C23×D1711yescharacteristic
1521C4⋊C4—22no—
1522C4⋊C4—22no—
1523C4⋊C4—342no—
1524C4⋊C4—342no—
1525C4⋊C4—342no—
1526C4⋊C4—342no—
1527C4⋊C4—342no—
1528C4⋊C4—342no—
1529C4⋊C4—342no—
1530C4⋊C4—342no—
1531C4⋊C4—342no—
1532C4⋊C4—342no—
1533C4⋊C4—681no—
1534C4⋊C4—681no—
1535C4⋊C4—681no—
1536C4⋊C4—681no—
1537C4⋊C4—681no—
1538C4⋊C4—681no—
1539C4⋊C4—681no—
1540C4⋊C4—681no—
1541C4⋊C4—681no—
1542C4⋊C4—681no—
1543C22⋊C4—22no—
1544C22⋊C4—22no—
1545C22⋊C4—22no—
1546C22⋊C4—22no—
1547C22⋊C4—22no—
1548C22⋊C4—22no—
1549C22⋊C4—22no—
1550C22⋊C4—41no—
1551C22⋊C4—41no—
1552C22⋊C4—41no—
1553C22⋊C4—41no—
1554C22⋊C4—41no—
1555C22⋊C4—41no—
1556C22⋊C4—174no—
1557C22⋊C4—174no—
1558C22⋊C4—174no—
1559C22⋊C4—342no—
1560C22⋊C4—342no—
1561C22⋊C4—342no—
1562C22⋊C4—342no—
1563C22⋊C4—342no—
1564C22⋊C4—342no—
1565C22⋊C4—342no—
1566C22⋊C4—342no—
1567C22⋊C4—342no—
1568C22⋊C4—342no—
1569C22⋊C4—342no—
1570C22⋊C4—342no—
1571C22⋊C4—342no—
1572C22⋊C4—342no—
1573C22⋊C4—342no—
1574C22⋊C4—342no—
1575C22⋊C4—342no—
1576C22⋊C4—342no—
1577C22⋊C4—342no—
1578C22⋊C4—681no—
1579C22⋊C4—681no—
1580C22⋊C4—681no—
1581C22⋊C4—681no—
1582C22⋊C4—681no—
1583C22⋊C4—681no—
1584C22⋊C4—681no—
1585C22⋊C4—681no—
1586C22⋊C4—681no—
1587C22⋊C4—681no—
1588C22⋊C4—681no—
1589C22⋊C4—681no—
1590C22⋊C4—681no—
1591C22⋊C4—681no—
1592C22⋊C4—681no—
1593C22⋊C4—681no—
1594C22⋊C4—681no—
1595C22⋊C4—681no—
1596C22⋊C4—681no—
1597C22⋊C4—681no—
1598C22⋊C4—681no—
1599C22⋊C4—681no—
1600C22⋊C4—681no—
1601C22⋊C4—681no—
1602C22⋊C4—681no—
1603C22⋊C4—681no—
1604C22⋊C4D4×D1714yes—
1605C42—22no—
1606C42—342no—
1607C42—342no—
1608C42—342no—
1609C42—681no—
1610C42—681no—
1611C23—21no—
1612C23—21no—
1613C23—21no—
1614C23—21no—
1615C23—21no—
1616C23—21no—
1617C23—21no—
1618C23—21no—
1619C23—21no—
1620C23—21no—
1621C23—21no—
1622C23—21no—
1623C23—21no—
1624C23—21no—
1625C23—21no—
1626C23—21no—
1627C23—21no—
1628C23—21no—
1629C23—21no—
1630C23—21no—
1631C23—21no—
1632C23—21no—
1633C23—21no—
1634C23—21no—
1635C23—21no—
1636C23—21no—
1637C23—21no—
1638C23—21no—
1639C23—21no—
1640C23—21no—
1641C23—21no—
1642C23—21no—
1643C23—21no—
1644C23—21no—
1645C23—21no—
1646C23—21no—
1647C23—21no—
1648C23—21no—
1649C23—21no—
1650C23—21no—
1651C23—21no—
1652C23—44no—
1653C23—82no—
1654C23—82no—
1655C23—82no—
1656C23—82no—
1657C23—82no—
1658C23—82no—
1659C23—172no—
1660C23—172no—
1661C23—172no—
1662C23—172no—
1663C23—348no—
1664C23—341no—
1665C23—341no—
1666C23—341no—
1667C23—341no—
1668C23—341no—
1669C23—341no—
1670C23—341no—
1671C23—341no—
1672C23—341no—
1673C23—341no—
1674C23—341no—
1675C23—341no—
1676C23—341no—
1677C23—341no—
1678C23—341no—
1679C23—341no—
1680C23—341no—
1681C23—684no—
1682C23—684no—
1683C23—684no—
1684C23—1362no—
1685C23—1362no—
1686C23—1362no—
1687C23—1362no—
1688C23—1362no—
1689C23—1362no—
1690C23—1362no—
1691C23—1362no—
1692C23—1362no—
1693C23—1362no—
1694C23C2×D4×D1712yes—
1695C23C24×D1711yescharacteristic
1696Q8—1362no—
1697D4—44no—
1698D4—82no—
1699D4—82no—
1700D4—82no—
1701D4—82no—
1702D4—82no—
1703D4—82no—
1704D4—82no—
1705D4—82no—
1706D4—82no—
1707D4—82no—
1708D4—82no—
1709D4—684no—
1710D4—684no—
1711D4—684no—
1712D4—684no—
1713D4—684no—
1714D4—684no—
1715D4—684no—
1716D4—684no—
1717D4—684no—
1718D4—1362no—
1719D4—1362no—
1720D4—1362no—
1721D4—1362no—
1722D4—1362no—
1723D4—1362no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—82no—
1748C2×C4—172no—
1749C2×C4—172no—
1750C2×C4—341no—
1751C2×C4—341no—
1752C2×C4—341no—
1753C2×C4—341no—
1754C2×C4—341no—
1755C2×C4—341no—
1756C2×C4—341no—
1757C2×C4—341no—
1758C2×C4—341no—
1759C2×C4—341no—
1760C2×C4—341no—
1761C2×C4—341no—
1762C2×C4—341no—
1763C2×C4—341no—
1764C2×C4—341no—
1765C2×C4—341no—
1766C2×C4—341no—
1767C2×C4—341no—
1768C2×C4—341no—
1769C2×C4—341no—
1770C2×C4—341no—
1771C2×C4—341no—
1772C2×C4—341no—
1773C2×C4—341no—
1774C2×C4—341no—
1775C2×C4—341no—
1776C2×C4—341no—
1777C2×C4—341no—
1778C2×C4—341no—
1779C2×C4—341no—
1780C2×C4—341no—
1781C2×C4—341no—
1782C2×C4—341no—
1783C2×C4—341no—
1784C2×C4—341no—
1785C2×C4—341no—
1786C2×C4—341no—
1787C2×C4—684no—
1788C2×C4—684no—
1789C2×C4—684no—
1790C2×C4—684no—
1791C2×C4—684no—
1792C2×C4—684no—
1793C2×C4—1362no—
1794C2×C4—1362no—
1795C2×C4—1362no—
1796C2×C4C2×D4×D1712yes—
1797C2×C4C2×D4×D1712yes—
1798C2×C4#1058769112yes—
1799C2×C4#1058769112yes—
1800C22—22no—
1801C22—22no—
1802C22—22no—
1803C22—41no—
1804C22—41no—
1805C22—41no—
1806C22—41no—
1807C22—41no—
1808C22—41no—
1809C22—41no—
1810C22—41no—
1811C22—41no—
1812C22—41no—
1813C22—41no—
1814C22—41no—
1815C22—41no—
1816C22—41no—
1817C22—41no—
1818C22—41no—
1819C22—41no—
1820C22—41no—
1821C22—41no—
1822C22—41no—
1823C22—41no—
1824C22—41no—
1825C22—41no—
1826C22—41no—
1827C22—41no—
1828C22—41no—
1829C22—41no—
1830C22—41no—
1831C22—41no—
1832C22—41no—
1833C22—41no—
1834C22—41no—
1835C22—41no—
1836C22—41no—
1837C22—41no—
1838C22—41no—
1839C22—41no—
1840C22—41no—
1841C22—41no—
1842C22—88no—
1843C22—174no—
1844C22—342no—
1845C22—342no—
1846C22—342no—
1847C22—342no—
1848C22—342no—
1849C22—342no—
1850C22—342no—
1851C22—342no—
1852C22—342no—
1853C22—681no—
1854C22—681no—
1855C22—681no—
1856C22—681no—
1857C22—681no—
1858C22—681no—
1859C22—681no—
1860C22—681no—
1861C22—681no—
1862C22—681no—
1863C22—681no—
1864C22—1368no—
1865C22—1368no—
1866C22C22×D4×D1711yescharacteristic
1867C22H(5,𝔽2)×D1711yescharacteristic
1868C22H(5,𝔽2)×D1711yescharacteristic
1869C22C2×#1058769111yescharacteristic
1870C22C2×#1058769111yescharacteristic
1871C22#1176364411yescharacteristic
1872C22#1176364411yescharacteristic
1873C4—22no—
1874C4—22no—
1875C4—22no—
1876C4—22no—
1877C4—41no—
1878C4—41no—
1879C4—41no—
1880C4—41no—
1881C4—41no—
1882C4—342no—
1883C4—342no—
1884C4—681no—
1885C4—681no—
1886C4—681no—
1887C4—681no—
1888C4—681no—
1889C4—681no—
1890C4—681no—
1891C4—681no—
1892C4—681no—
1893C4—681no—
1894C4—681no—
1895C2—42no—
1896C2—81no—
1897C2—81no—
1898C2—81no—
1899C2—81no—
1900C2—81no—
1901C2—344no—
1902C2—682no—
1903C2—1361no—
1904C2D17×#53511yescharacteristic
1905C2#1454254011yescharacteristic
1906C2#1454254011yescharacteristic
1907C2#1454296411yescharacteristic
1908C2#1454301511yescharacteristic
1909C2#1454330211yescharacteristic
1910C2#1454333411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D17
commutator, socle, cosocleC23×C17C25
FittingC17×#2669C2
hypercenter#2669D17
hypocenterC17#36739
LCSG ▷ C23×C17 ▷ C17
UCSC1 ◁ C23 ◁ #2669

Complements

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

NH ≅ G/Ntype
1. C2×#11763391C2semidirect
2. C2×#11763369C2semidirect
3. #14537126C2semidirect
4. #14537082C2semidirect
5. #14535632C2semidirect
6. #14535631C2semidirect
7. #14535533C2semidirect
8. #14535528C2semidirect
9. #14535479C2semidirect
10. #14535476C2semidirect
11. #14535423C2semidirect
12. #14535420C2semidirect
13. #14535174C2semidirect
14. #14535171C2semidirect
15. #14535112C2semidirect
16. #14535109C2semidirect
17. #14535011C2semidirect
18. #14535006C2semidirect
19. #14534997C2semidirect
20. #14534885C2semidirect
21. #14534715C2semidirect
22. #14533743C2semidirect
23. #14533739C2semidirect
24. #14532220C2semidirect
25. #14532217C2semidirect
26. #14532154C2semidirect
27. #14532154C2semidirect
28. #14532151C2semidirect
29. #14532151C2semidirect
30. D17×#388C2semidirect
31. C17×#2669C2semidirect
36. C2×#10587584C22semidirect
37. C2×#10587565C22semidirect
38. C2×#10587622C22semidirect
39. C2×#10587571C22semidirect
40. C2×#10587571C22semidirect
42. C2×#10587615C22semidirect
46. C2×#10587621C22semidirect
47. C2×#10587582C22semidirect
50. C2×#10587570C22semidirect
51. C2×#10587570C22semidirect
52. C2×#10587625C22semidirect
53. C2×#10587625C22semidirect
56. C2×#10587624C22semidirect
57. C2×#10587624C22semidirect
58. C2×#10587624C22semidirect
59. C2×#10587624C22semidirect
60. C2×#10587624C22semidirect
61. C2×#10587624C22semidirect
62. C2×#10587624C22semidirect
68. C2×#10587623C22semidirect
69. C2×#10587623C22semidirect
70. C2×C4×C22⋊D17C22semidirect
71. C2×#10587567C22semidirect
72. C2×C4⋊C4×D17C22semidirect
76. C2×C42×D17C22semidirect
77. #11762749C22semidirect
78. #11762748C22semidirect
79. #11762746C22semidirect
80. #11762745C22semidirect
81. #11762745C22semidirect
82. #11762745C22semidirect
83. #11762743C22semidirect
84. #11762741C22semidirect
85. #11762737C22semidirect
86. #11762737C22semidirect
87. #11762737C22semidirect
88. #11762734C22semidirect
89. #11762732C22semidirect
90. #11762732C22semidirect
91. #11762732C22semidirect
92. #11762731C22semidirect
99. #11762725C22semidirect
100. #11762724C22semidirect
103. #11762723C22semidirect
104. #11762723C22semidirect
105. #11762723C22semidirect
106. #11762723C22semidirect
107. #11762721C22semidirect
108. #11762721C22semidirect
115. #11762717C22semidirect
116. #11762717C22semidirect
117. #11762717C22semidirect
118. #11762717C22semidirect
119. #11762713C22semidirect
120. #11762712C22semidirect
121. #11762712C22semidirect
122. #11762712C22semidirect
123. #11762712C22semidirect
124. #11762712C22semidirect
125. #11762712C22semidirect
126. #11762712C22semidirect
127. #11762709C22semidirect
128. #11762709C22semidirect
129. #11762708C22semidirect
130. #11762706C22semidirect
131. #11762703C22semidirect
132. #11762703C22semidirect
133. #11762702C22semidirect
134. #11762702C22semidirect
135. #11762702C22semidirect
136. #11762701C22semidirect
137. #11762701C22semidirect
138. #11762700C22semidirect
139. #11762700C22semidirect
140. #11762699C22semidirect
141. #11762699C22semidirect
142. #11762698C22semidirect
143. #11762697C22semidirect
144. #11762697C22semidirect
145. #11762689C22semidirect
146. #11762689C22semidirect
147. #11762689C22semidirect
148. #11762689C22semidirect
149. #11762688C22semidirect
150. #11762687C22semidirect
151. #11762687C22semidirect
152. #11762685C22semidirect
153. #11762685C22semidirect
154. #11762685C22semidirect
155. #11762685C22semidirect
156. #11762685C22semidirect
157. #11762685C22semidirect
158. #11762685C22semidirect
159. #11762685C22semidirect
160. #11762684C22semidirect
161. #11762684C22semidirect
162. #11762683C22semidirect
163. #11762683C22semidirect
164. #11762679C22semidirect
165. #11762673C22semidirect
166. #11762669C22semidirect
167. #11762667C22semidirect
168. #11762665C22semidirect
169. #11762665C22semidirect
170. #11762664C22semidirect
171. #11762664C22semidirect
172. #95×D17C22semidirect
173. #95×D17C22semidirect
174. C2×C17×#127C22semidirect
175. C2×C17×#121C22semidirect
176. C2×C17×#121C22semidirect
178. C2×C17×#120C22semidirect
179. C2×C17×#120C22semidirect
180. C17×#394C22semidirect
181. C17×#394C22semidirect
184. C17×#392C22semidirect
185. C17×#392C22semidirect
186. C17×#388C22semidirect
187. C17×#388C22semidirect
188. C17×#386C22semidirect
370. C22⋊C4×D17D4semidirect
864. #2669D17semidirect
975. C2×#127C2×D17semidirect
1003. C2×#121C2×D17semidirect
1004. C2×#121C2×D17semidirect
1013. C2×#120C2×D17semidirect
1014. C2×#120C2×D17semidirect
1052. #394C2×D17semidirect
1053. #394C2×D17semidirect
1068. #392C2×D17semidirect
1069. #392C2×D17semidirect
1096. #388C2×D17semidirect
1097. #388C2×D17semidirect
1113. #386C2×D17semidirect
1352. C17#36739semidirect

Maximal subgroups

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

subgroupindex
C2×#117633912
C2×#117633692
#145371262
#145370822
#145356322
#145356312
#145355332
#145355282
#145354792
#145354762
#145354232
#145354202
#145351742
#145351712
#145351122
#145351092
#145350112
#145350062
#145349972
#145348852
#145347152
#145337432
#145337392
#145322202
#145322172
#145321542
#145321512
D17×#3882
C17×#26692
#3673917