Finite Group Databasebeta

← #17242680

Subgroups — #17242680

Order 4352.

2078 conjugacy classes of subgroups.

The subgroup lattice has 1622 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#14537075C211yesmaximal, characteristic, complemented
2#14537063C211yesmaximal, characteristic, complemented
3#14536434C211yesmaximal, characteristic, complemented
4#14536425C211yesmaximal, characteristic, complemented
5#14536264C211yesmaximal, characteristic, complemented
6#14536170C211yesmaximal, characteristic, complemented
7#14536066C211yesmaximal, characteristic, complemented
8#14536005C211yesmaximal, characteristic, complemented
9#14535994C211yesmaximal, characteristic, complemented
10#14535919C211yesmaximal, characteristic, complemented
11#14535857C211yesmaximal, characteristic, complemented
12#14535546C211yesmaximal, characteristic, complemented
13#14535493C211yesmaximal, characteristic, complemented
14#14535467C211yesmaximal, characteristic, complemented
15#14535404C211yesmaximal, characteristic, complemented
16#14535399C211yesmaximal, characteristic, complemented
17#14535216C211yesmaximal, characteristic, complemented
18#14535015C211yesmaximal, characteristic, complemented
19#14534568C211yesmaximal, characteristic, complemented
20#14534528C211yesmaximal, characteristic, complemented
21#14533716C211yesmaximal, characteristic, complemented
22#14533670C211yesmaximal, characteristic, complemented
23#14532502C211yesmaximal, characteristic, complemented
24#14532341C211yesmaximal, characteristic, complemented
25#14532326C211yesmaximal, characteristic, complemented
26#14532259C211yesmaximal, characteristic, complemented
27#14532244C211yesmaximal, characteristic, complemented
28#14531489C211yesmaximal, characteristic, complemented
29#14531417C211yesmaximal, characteristic, complemented
30C2×#11762680C211yesmaximal, characteristic, complemented
31C17×#2416C211yesmaximal, characteristic, complemented
32C23×C4×D17C2211yescharacteristic
33C2×#10587576C2211yescharacteristic, complemented
34C2×#10587572C2211yescharacteristic
35C2×#10587569C2211yescharacteristic
36C2×#10587569C2211yescharacteristic
37C2×#10587621C2211yescharacteristic
38C2×#10587621C2211yescharacteristic
39C2×#10587621C2211yescharacteristic
40C2×#10587625C2211yescharacteristic
41C2×#10587624C2211yescharacteristic
42C2×#10587624C2211yescharacteristic
43C2×#10587623C2211yescharacteristic
44C2×#10587623C2211yescharacteristic
45C2×#10587623C2211yescharacteristic
46C2×D4×Dic17C2211yescharacteristic
47C2×D4×Dic17C2211yescharacteristic
48C22×#63225C2211yescharacteristic
49C22×#63227C2211yescharacteristic
50C22×#63227C2211yescharacteristic
51#11762750C2211yescharacteristic, complemented
52#11762750C2211yescharacteristic, complemented
53#11762749C2211yescharacteristic, complemented
54#11762748C2211yescharacteristic, complemented
55#11762748C2211yescharacteristic, complemented
56#11762746C2211yescharacteristic
57#11762745C2211yescharacteristic, complemented
58#11762745C2211yescharacteristic, complemented
59#11762744C2211yescharacteristic
60#11762744C2211yescharacteristic
61#11762743C2211yescharacteristic, complemented
62#11762743C2211yescharacteristic, complemented
63#11762742C2211yescharacteristic, complemented
64#11762742C2211yescharacteristic, complemented
65#11762742C2211yescharacteristic, complemented
66#11762741C2211yescharacteristic, complemented
67#11762740C2211yescharacteristic, complemented
68#11762740C2211yescharacteristic, complemented
69#11762737C2211yescharacteristic, complemented
70#11762737C2211yescharacteristic, complemented
71#11762737C2211yescharacteristic, complemented
72#11762736C2211yescharacteristic
73#11762734C2211yescharacteristic, complemented
74#11762734C2211yescharacteristic, complemented
75#11762732C2211yescharacteristic, complemented
76#11762732C2211yescharacteristic, complemented
77#11762732C2211yescharacteristic, complemented
78#11762732C2211yescharacteristic, complemented
79#11762732C2211yescharacteristic, complemented
80#11762731C2211yescharacteristic
81#11762731C2211yescharacteristic
82#11762731C2211yescharacteristic
83#11762725C2211yescharacteristic
84#11762725C2211yescharacteristic
85#11762725C2211yescharacteristic
86#11762725C2211yescharacteristic
87#11762725C2211yescharacteristic
88#11762724C2211yescharacteristic
89#11762723C2211yescharacteristic, complemented
90#11762723C2211yescharacteristic, complemented
91#11762723C2211yescharacteristic, complemented
92#11762717C2211yescharacteristic
93#11762717C2211yescharacteristic
94#11762717C2211yescharacteristic
95#11762709C2211yescharacteristic
96#11762709C2211yescharacteristic
97#11762709C2211yescharacteristic
98#11762709C2211yescharacteristic
99#11762709C2211yescharacteristic
100#11762708C2211yescharacteristic, complemented
101#11762705C2211yescharacteristic, complemented
102#11762704C2211yescharacteristic, complemented
103#11762703C2211yescharacteristic, complemented
104#11762702C2211yescharacteristic, complemented
105#11762702C2211yescharacteristic, complemented
106#11762702C2211yescharacteristic, complemented
107#11762702C2211yescharacteristic, complemented
108#11762701C2211yescharacteristic
109#11762701C2211yescharacteristic
110#11762700C2211yescharacteristic
111#11762700C2211yescharacteristic
112#11762699C2211yescharacteristic
113#11762695C2211yescharacteristic, complemented
114#11762695C2211yescharacteristic, complemented
115#11762695C2211yescharacteristic, complemented
116#11762695C2211yescharacteristic, complemented
117#11762694C2211yescharacteristic, complemented
118#11762694C2211yescharacteristic, complemented
119#11762689C2211yescharacteristic
120#11762689C2211yescharacteristic
121#11762689C2211yescharacteristic
122#11762689C2211yescharacteristic
123#11762689C2211yescharacteristic, complemented
124#11762689C2211yescharacteristic, complemented
125#11762689C2211yescharacteristic, complemented
126#11762688C2211yescharacteristic
127#11762688C2211yescharacteristic
128#11762686C2211yescharacteristic
129#11762686C2211yescharacteristic
130#11762685C2211yescharacteristic
131#11762685C2211yescharacteristic
132#11762685C2211yescharacteristic
133#11762685C2211yescharacteristic
134#11762685C2211yescharacteristic
135#11762685C2211yescharacteristic
136#11762684C2211yescharacteristic
137#11762684C2211yescharacteristic
138#11762684C2211yescharacteristic, complemented
139#11762684C2211yescharacteristic, complemented
140#11762684C2211yescharacteristic, complemented
141#11762683C2211yescharacteristic
142#11762683C2211yescharacteristic
143#11762682C2211yescharacteristic
144#11762682C2211yescharacteristic
145#11762680C2211yescharacteristic
146#11762680C2211yescharacteristic
147#11762680C2211yescharacteristic
148#11762680C2211yescharacteristic
149#11762680C2211yescharacteristic
150#11762680C2211yescharacteristic
151#11762680C2211yescharacteristic
152#11762680C2211yescharacteristic
153#11762677C2211yescharacteristic, complemented
154#11762675C2211yescharacteristic, complemented
155#11762674C2211yescharacteristic, complemented
156#11762672C2211yescharacteristic, complemented
157#11762671C2211yescharacteristic
158#11762671C2211yescharacteristic
159#11762670C2211yescharacteristic
160#11762670C2211yescharacteristic, complemented
161#11762669C2211yescharacteristic
162#11762669C2211yescharacteristic
163#11762669C2211yescharacteristic
164#11762669C2211yescharacteristic, complemented
165#11762667C2211yescharacteristic, complemented
166#11762666C2211yescharacteristic
167#11762666C2211yescharacteristic
168#11762664C2211yescharacteristic
169C4×C22⋊Dic17C2211yescharacteristic
170C2×#10587502C2211yescharacteristic
171C2×#10587502C2211yescharacteristic
172C2×C17×#121C2211yescharacteristic
173C2×C17×#121C2211yescharacteristic
174C2×C17×#121C2211yescharacteristic
175C2×C17×#121C2211yescharacteristic, complemented
176C2×C4×D4×C17C2211yescharacteristic
177C22×C4⋊C4×C17C2211yescharacteristic
178C17×#396C2211yescharacteristic, complemented
179C17×#396C2211yescharacteristic, complemented
180C17×#394C2211yescharacteristic, complemented
181C17×#394C2211yescharacteristic, complemented
182C17×#390C2211yescharacteristic, complemented
183C17×#389C2211yescharacteristic, complemented
184C17×#386C2211yescharacteristic
185C17×#386C2211yescharacteristic
186C17×#380C2211yescharacteristic, complemented
187C24×D17C2311yescharacteristic
188C22×D4×C17C2311yescharacteristic
189C22×D4×C17C2311yescharacteristic
190C22×D4×C17C2311yescharacteristic
191C22×D4×C17C2311yescharacteristic
192C22×D4×C17C2311yescharacteristic
193C22×D4×C17C2311yescharacteristic
194C23×C4×C17C2311yescharacteristic
195C23×C4×C17C2311yescharacteristic
196C23×C4×C17C2311yescharacteristic
197C23×C4×C17C2311yescharacteristic
198C22×C22⋊D17C2311yescharacteristic
199C22×C22⋊D17C2311yescharacteristic
200C22×C22⋊D17C2311yescharacteristic
201C22×C22⋊D17C2311yescharacteristic
202C22×C22⋊D17C2311yescharacteristic
203C22×C22⋊D17C2311yescharacteristic
204C23×Dic17C2311yescharacteristic
205C23×Dic17C2311yescharacteristic
206C23×Dic17C2311yescharacteristic
207C23×Dic17C2311yescharacteristic
208C23×Dic17C2311yescharacteristic
209C22×C4×D17—42no—
210C22×C4×D17—42no—
211C22×C4×D17—42no—
212C22×C4×D17C2311yescharacteristic
213C22×C4×D17C2311yescharacteristic
214C22×C4×D17C2311yescharacteristic
215C22×C4×D17C2311yescharacteristic
216C17×#121—24no—
217C17×#121—42no—
218C17×#121—42no—
219C17×#121—42no—
220C4×D4×C17—24no—
221C2×C4⋊C4×C17—42no—
222C2×C4⋊C4×C17C2311yescharacteristic
223C2×C4⋊C4×C17C2311yescharacteristic
224C2×C4⋊C4×C17C2311yescharacteristic
225C2×C4⋊C4×C17C2311yescharacteristic
226C2×C4⋊C4×C17C2311yescharacteristic
227C2×C4⋊C4×C17C2311yescharacteristic
228C2×C4⋊C4×C17C2311yescharacteristic
229C2×C4⋊C4×C17C2311yescharacteristic
230C2×C22⋊C4×C17C2311yescharacteristic
231C2×C22⋊C4×C17C2311yescharacteristic
232C2×C22⋊C4×C17C2311yescharacteristic
233C2×C22⋊C4×C17C2311yescharacteristic
234C2×C22⋊C4×C17C2311yescharacteristic
235C2×C22⋊C4×C17C2311yescharacteristic
236C2×C22⋊C4×C17C2311yescharacteristic
237C2×C22⋊C4×C17C2311yescharacteristic
238C2×C22⋊C4×C17C2311yescharacteristic
239C2×C22⋊C4×C17C2311yescharacteristic
240C2×C22⋊C4×C17C2311yescharacteristic
241C2×C22⋊C4×C17C2311yescharacteristic
242C2×C42×C17C2311yescharacteristic
243C2×C22⋊Dic17C2311yescharacteristic
244C2×C22⋊Dic17C2311yescharacteristic
245C2×C22⋊Dic17C2311yescharacteristic
246C2×C22⋊Dic17C2311yescharacteristic
247C2×C22⋊Dic17C2311yescharacteristic
248C2×C22⋊Dic17C2311yescharacteristic
249C2×C22⋊Dic17C2311yescharacteristic
250C2×C22⋊Dic17C2311yescharacteristic
251C2×C22⋊Dic17C2311yescharacteristic
252C2×C22⋊Dic17C2311yescharacteristic
253C2×C22⋊Dic17C2311yescharacteristic
254C2×C22⋊Dic17C2311yescharacteristic
255C2×C22⋊Dic17C2311yescharacteristic
256C2×C22⋊Dic17C2311yescharacteristic
257C2×C22⋊Dic17C2311yescharacteristic
258C2×C22⋊Dic17C2311yescharacteristic
259C2×C22⋊Dic17C2311yescharacteristic
260C2×C22⋊Dic17C2311yescharacteristic
261C2×C22⋊Dic17C2311yescharacteristic
262C2×C22⋊Dic17C2311yescharacteristic
263#10587625—42no—
264#10587624—42no—
265#10587624—42no—
266#10587623—42no—
267#10587623—42no—
268#10587623—42no—
269#10587621—42no—
270#10587621—42no—
271#10587621—42no—
272D4×Dic17—42no—
273D4×Dic17—42no—
274C2×#63227—24no—
275C2×#63227—42no—
276C2×#63227C2311yescharacteristic
277C2×#63227C2311yescharacteristic
278C2×#63227C2311yescharacteristic
279C2×#63227C2311yescharacteristic
280C2×#63227C2311yescharacteristic
281C2×#63227C2311yescharacteristic
282C2×#63227C2311yescharacteristic
283C2×#63227C2311yescharacteristic
284C2×#63227C2311yescharacteristic
285C2×#63227C2311yescharacteristic
286C2×#63227C2311yescharacteristic
287C2×#63227C2311yescharacteristic
288C2×#63227C2311yescharacteristic
289C2×#63227C2311yescharacteristic
290C2×#63227C2311yescharacteristic
291C2×#63227C2311yescharacteristic
292C2×#63227C2311yescharacteristic
293C2×#63227C2311yescharacteristic
294C2×C4⋊Dic17C2311yescharacteristic
295C2×C4⋊Dic17C2311yescharacteristic
296C2×C4⋊Dic17C2311yescharacteristic
297C2×C4⋊Dic17C2311yescharacteristic
298C2×C4⋊Dic17C2311yescharacteristic
299C2×C4⋊Dic17C2311yescharacteristic
300C2×C4⋊Dic17C2311yescharacteristic
301C2×C4⋊Dic17C2311yescharacteristic
302C2×C4⋊Dic17C2311yescharacteristic
303C2×C4⋊Dic17C2311yescharacteristic
304C2×C4⋊Dic17C2311yescharacteristic
305C2×C4⋊Dic17C2311yescharacteristic
306C2×#63225—42no—
307C2×#63225C2311yescharacteristic
308C2×#63225C2311yescharacteristic
309C2×#63225C2311yescharacteristic
310C2×#63225C2311yescharacteristic
311C2×#63225C2311yescharacteristic
312C2×#63225C2311yescharacteristic
313C2×#63225C2311yescharacteristic
314C2×#63225C2311yescharacteristic
315C2×#63225C2311yescharacteristic
316C2×#63225C2311yescharacteristic
317C2×#63225C2311yescharacteristic
318C2×#63225C2311yescharacteristic
319C2×#63225C2311yescharacteristic
320C2×#63225C2311yescharacteristic
321C2×C4×Dic17C2311yescharacteristic
322C2×C4×Dic17C2311yescharacteristic
323C2×C4×Dic17C2311yescharacteristic
324C2×C4×Dic17C2311yescharacteristic
325#10587576—42no—
326#10587572—42no—
327#10587569—42no—
328#10587569—42no—
329C17×#95C2311yescharacteristic
330C17×#95C2311yescharacteristic
331C17×#95C2311yescharacteristic
332C17×#95C2311yescharacteristic
333#10587502C2311yescharacteristic
334#10587502C2311yescharacteristic
335#10587502C2311yescharacteristic
336#10587502C2311yescharacteristic
337#10587502C2311yescharacteristic
338#10587502C2311yescharacteristic
339#10587502C2311yescharacteristic
340#10587502C2311yescharacteristic
341#10587502C2311yescharacteristic
342#10587502C2311yescharacteristic
343#10587502C2311yescharacteristic
344#10587502C2311yescharacteristic
345#10587502C2311yescharacteristic
346#10587502C2311yescharacteristic
347#10587502C2311yescharacteristic
348#10587502C2311yescharacteristic
349#10587502C2311yescharacteristic
350#10587502C2311yescharacteristic
351#10587502C2311yescharacteristic
352#10587502C2311yescharacteristic
353#10587502C2311yescharacteristic
354#10587502C2311yescharacteristic
355#10587502C2311yescharacteristic
356#10587502C2311yescharacteristic
357#10587502C2311yescharacteristic
358#10587502C2311yescharacteristic
359#10587502C2311yescharacteristic
360#10587502C2311yescharacteristic
361#10587502C2311yescharacteristic
362#10587502C2311yescharacteristic
363#10587502C2311yescharacteristic
364#10587502C2311yescharacteristic
365#10587502C2311yescharacteristic
366#10587502C2311yescharacteristic
367#10587502C2311yescharacteristic
368#10587502C2311yescharacteristic
369C24×C17C2411yescharacteristic
370C24×C17C2411yescharacteristic
371C24×C17C2411yescharacteristic
372C24×C17C2411yescharacteristic
373C23×D17—22no—
374C23×D17—22no—
375C23×D17—22no—
376C23×D17—22no—
377C23×D17—22no—
378C23×D17—41no—
379C23×D17—41no—
380C23×D17C2411yescharacteristic
381C23×D17C2411yescharacteristic
382C2×D4×C17—22no—
383C2×D4×C17—22no—
384C2×D4×C17—22no—
385C2×D4×C17—22no—
386C2×D4×C17—22no—
387C2×D4×C17—22no—
388C2×D4×C17—22no—
389C2×D4×C17—22no—
390C2×D4×C17—22no—
391C2×D4×C17—22no—
392C2×D4×C17—22no—
393C2×D4×C17—41no—
394C2×D4×C17—41no—
395C2×D4×C17—41no—
396C2×D4×C17—41no—
397C2×D4×C17—41no—
398C2×D4×C17—41no—
399C2×D4×C17—41no—
400C22×C4×C17—22no—
401C22×C4×C17—22no—
402C22×C4×C17—22no—
403C22×C4×C17—22no—
404C22×C4×C17—41no—
405C22×C4×C17—41no—
406C22×C4×C17—41no—
407C22×C4×C17—41no—
408C22×C4×C17—41no—
409C22×C4×C17—41no—
410C22×C4×C17—41no—
411C22×C4×C17#4114yes—
412C22×C4×C17C2411yescharacteristic
413C22×C4×C17C2411yescharacteristic
414C22×C4×C17C2411yescharacteristic
415C22×C4×C17C2411yescharacteristic
416C22×C4×C17C2411yescharacteristic
417C22×C4×C17C2411yescharacteristic
418C22×C4×C17C2411yescharacteristic
419C22×C4×C17C2411yescharacteristic
420C22×C4×C17C2411yescharacteristic
421C22×C4×C17C2411yescharacteristic
422C22×C4×C17C2411yescharacteristic
423C2×C22⋊D17—22no—
424C2×C22⋊D17—22no—
425C2×C22⋊D17—22no—
426C2×C22⋊D17—22no—
427C2×C22⋊D17—22no—
428C2×C22⋊D17—22no—
429C2×C22⋊D17—41no—
430C2×C22⋊D17—41no—
431C2×C22⋊D17—41no—
432C2×C22⋊D17—41no—
433C2×C22⋊D17—41no—
434C2×C22⋊D17—41no—
435C2×C22⋊D17—41no—
436C2×C22⋊D17—41no—
437C2×C22⋊D17—41no—
438C2×C22⋊D17—41no—
439C2×C22⋊D17—41no—
440C2×C22⋊D17—41no—
441C22×Dic17—22no—
442C22×Dic17—22no—
443C22×Dic17—22no—
444C22×Dic17—22no—
445C22×Dic17—22no—
446C22×Dic17—41no—
447C22×Dic17—41no—
448C22×Dic17—41no—
449C22×Dic17—41no—
450C22×Dic17—41no—
451C22×Dic17—41no—
452C22×Dic17—41no—
453C22×Dic17—41no—
454C22×Dic17—41no—
455C22×Dic17—41no—
456C22×Dic17C2411yescharacteristic
457C22×Dic17C2411yescharacteristic
458C22×Dic17C2411yescharacteristic
459C22×Dic17C2411yescharacteristic
460C22×Dic17C2411yescharacteristic
461C22×Dic17C2411yescharacteristic
462C22×Dic17C2411yescharacteristic
463C22×Dic17C2411yescharacteristic
464C22×Dic17C2411yescharacteristic
465C22×Dic17C2411yescharacteristic
466C22×Dic17C2411yescharacteristic
467C22×Dic17C2411yescharacteristic
468C22×Dic17C2411yescharacteristic
469C22×Dic17C2411yescharacteristic
470C2×C4×D17—22no—
471C2×C4×D17—22no—
472C2×C4×D17—22no—
473C2×C4×D17—22no—
474C2×C4×D17—41no—
475C2×C4×D17—41no—
476C2×C4×D17—41no—
477C2×C4×D17—41no—
478C2×C4×D17—41no—
479C2×C4×D17—41no—
480C2×C4×D17—41no—
481C2×C4×D17—41no—
482C2×C4×D17—416no—
483C4⋊C4×C17—22no—
484C4⋊C4×C17—22no—
485C4⋊C4×C17—22no—
486C4⋊C4×C17—22no—
487C4⋊C4×C17—41no—
488C4⋊C4×C17—41no—
489C4⋊C4×C17—41no—
490C4⋊C4×C17—41no—
491C22⋊C4×C17—22no—
492C22⋊C4×C17—22no—
493C22⋊C4×C17—22no—
494C22⋊C4×C17—22no—
495C22⋊C4×C17—22no—
496C22⋊C4×C17—41no—
497C22⋊C4×C17—41no—
498C22⋊C4×C17—41no—
499C22⋊C4×C17—41no—
500C22⋊C4×C17—41no—
501C22⋊C4×C17—41no—
502C22⋊C4×C17—41no—
503C42×C17—22no—
504C22⋊Dic17—22no—
505C22⋊Dic17—22no—
506C22⋊Dic17—22no—
507C22⋊Dic17—22no—
508C22⋊Dic17—41no—
509C22⋊Dic17—41no—
510C22⋊Dic17—41no—
511C22⋊Dic17—41no—
512C22⋊Dic17—41no—
513C22⋊Dic17—41no—
514C22⋊Dic17—41no—
515C22⋊Dic17—41no—
516C22⋊Dic17—41no—
517C22⋊Dic17—41no—
518C22⋊Dic17—41no—
519C22⋊Dic17—41no—
520C22⋊Dic17—41no—
521C22⋊Dic17—41no—
522C22⋊Dic17—41no—
523C22⋊Dic17—41no—
524#63227—22no—
525#63227—22no—
526#63227—22no—
527#63227—22no—
528#63227—22no—
529#63227—22no—
530#63227—22no—
531#63227—22no—
532#63227—41no—
533#63227—41no—
534#63227—41no—
535#63227—41no—
536#63227—41no—
537#63227—41no—
538#63227—41no—
539#63227—41no—
540#63227—41no—
541#63227—41no—
542C4⋊Dic17—22no—
543C4⋊Dic17—41no—
544C4⋊Dic17—41no—
545C4⋊Dic17—41no—
546C4⋊Dic17—41no—
547C4⋊Dic17—41no—
548C4⋊Dic17—41no—
549C4⋊Dic17—41no—
550C4⋊Dic17—41no—
551C4⋊Dic17—41no—
552C4⋊Dic17—41no—
553C4⋊Dic17—41no—
554#63225—22no—
555#63225—41no—
556#63225—41no—
557#63225—41no—
558#63225—41no—
559#63225—41no—
560#63225—41no—
561#63225—41no—
562#63225—41no—
563#63225—41no—
564#63225—41no—
565#63225—41no—
566#63225—41no—
567#63225—41no—
568C4×Dic17—41no—
569C4×Dic17—41no—
570C4×Dic17—41no—
571C4×Dic17—41no—
572#36777—171nomaximal, Sylow
573C23×C17—21no—
574C23×C17—21no—
575C23×C17—21no—
576C23×C17—21no—
577C23×C17—21no—
578C23×C17—21no—
579C23×C17—21no—
580C23×C17—21no—
581C23×C17—21no—
582C23×C17—21no—
583C23×C17—21no—
584C23×C17—21no—
585C23×C17—21no—
586C23×C17—21no—
587C23×C17—21no—
588C23×C17—21no—
589C23×C17—21no—
590C23×C17—21no—
591C23×C17—21no—
592C23×C17—21no—
593C23×C17—21no—
594C23×C17—21no—
595C23×C17—21no—
596C23×C17—21no—
597C23×C17—21no—
598C23×C17C2×#4112yes—
599C23×C17H(5,𝔽2)12yes—
600C23×C17H(5,𝔽2)12yes—
601C23×C17C2511yescharacteristic
602C22×D17—28no—
603C22×D17—21no—
604C22×D17—21no—
605C22×D17—21no—
606C22×D17—21no—
607C22×D17—21no—
608C22×D17—21no—
609C22×D17—21no—
610C22×D17—21no—
611C22×D17—21no—
612C22×D17—21no—
613C22×D17—21no—
614C22×D17—21no—
615C22×D17—44no—
616C22×D17—44no—
617C22×D17—44no—
618C22×D17—44no—
619C22×D17—44no—
620C22×D17—44no—
621C22×D17H(5,𝔽2)12yes—
622C22×D172−1+412yes—
623D4×C17—44no—
624D4×C17—44no—
625D4×C17—44no—
626D4×C17—82no—
627D4×C17—82no—
628D4×C17—82no—
629C2×C4×C17—21no—
630C2×C4×C17—21no—
631C2×C4×C17—21no—
632C2×C4×C17—21no—
633C2×C4×C17—21no—
634C2×C4×C17—21no—
635C2×C4×C17—21no—
636C2×C4×C17—21no—
637C2×C4×C17—21no—
638C2×C4×C17—21no—
639C2×C4×C17—21no—
640C2×C4×C17—21no—
641C2×C4×C17—21no—
642C2×C4×C17—21no—
643C2×C4×C17—21no—
644C2×C4×C17—21no—
645C2×C4×C17—21no—
646C2×C4×C17—21no—
647C2×C4×C17—21no—
648C2×C4×C17—21no—
649C2×C4×C17—21no—
650C2×C4×C17—21no—
651C2×C4×C17—21no—
652C2×C4×C17—21no—
653C2×C4×C17—21no—
654C2×C4×C17—21no—
655C2×C4×C17—21no—
656C2×C4×C17—21no—
657C2×C4×C17—21no—
658C2×C4×C17—21no—
659C2×C4×C17—44no—
660C2×C4×C17—44no—
661C2×C4×C17—82no—
662C2×C4×C17—82no—
663C2×C4×C17C2×#4112yes—
664C2×C4×C17C2×#4112yes—
665C2×C4×C17H(5,𝔽2)12yes—
666C22⋊D17—82no—
667C22⋊D17—82no—
668C22⋊D17—82no—
669C22⋊D17—82no—
670C22⋊D17—82no—
671C22⋊D17—82no—
672C2×Dic17—21no—
673C2×Dic17—21no—
674C2×Dic17—21no—
675C2×Dic17—21no—
676C2×Dic17—21no—
677C2×Dic17—21no—
678C2×Dic17—21no—
679C2×Dic17—21no—
680C2×Dic17—21no—
681C2×Dic17—21no—
682C2×Dic17—21no—
683C2×Dic17—21no—
684C2×Dic17—21no—
685C2×Dic17—21no—
686C2×Dic17—21no—
687C2×Dic17—21no—
688C2×Dic17—21no—
689C2×Dic17—21no—
690C2×Dic17—21no—
691C2×Dic17—21no—
692C2×Dic17—21no—
693C2×Dic17—21no—
694C2×Dic17—21no—
695C2×Dic17—21no—
696C2×Dic17—21no—
697C2×Dic17—21no—
698C2×Dic17—21no—
699C2×Dic17—21no—
700C2×Dic17—21no—
701C2×Dic17—21no—
702C2×Dic17—21no—
703C2×Dic17—21no—
704C2×Dic17—21no—
705C2×Dic17—21no—
706C2×Dic17—21no—
707C2×Dic17—21no—
708C2×Dic17—21no—
709C2×Dic17—21no—
710C2×Dic17—21no—
711C2×Dic17—21no—
712C2×Dic17—21no—
713C2×Dic17—21no—
714C2×Dic17—44no—
715C2×Dic17—44no—
716C2×Dic17—82no—
717C2×Dic17—82no—
718C2×Dic17—82no—
719C4×D17—44no—
720C4×D17—44no—
721C4×D17—44no—
722C4×D17—44no—
723#2849—171no—
724#2847—171no—
725#2780—171no—
726#2780—171no—
727#2768—171no—
728#2761—171no—
729#2753—171no—
730#2749—171no—
731#2748—171no—
732#2743—171no—
733#2738—171no—
734#2711—171no—
735#2707—171no—
736#2706—171no—
737#2701—171no—
738#2701—171no—
739#2688—171no—
740#2671—171no—
741#2623—171no—
742#2618—171no—
743#2539—171no—
744#2534—171no—
745#2442—171no—
746#2425—171no—
747#2424—171no—
748#2419—171no—
749#2418—171no—
750#2416D1711yescharacteristic, complemented
751#2325—171no—
752#2318—171no—
753C2×#385—171no—
754C22×C17—22no—
755C22×C17—22no—
756C22×C17—22no—
757C22×C17—22no—
758C22×C17—22no—
759C22×C17—22no—
760C22×C17—41no—
761C22×C17—41no—
762C22×C17—41no—
763C22×C17—41no—
764C22×C17—41no—
765C22×C17—41no—
766C22×C17—41no—
767C22×C17—41no—
768C22×C17—41no—
769C22×C17—41no—
770C22×C17—41no—
771C22×C17—41no—
772C22×C17—41no—
773C22×C17—41no—
774C22×C17—41no—
775C22×C17—41no—
776C22×C17—41no—
777C22×C17—41no—
778C22×C17—41no—
779C22×C17—41no—
780C22×C17—41no—
781C22×C17#54014yes—
782C22×C17C22×#4111yescharacteristic
783C22×C17C2×H(5,𝔽2)11yescharacteristic
784C22×C17C2×H(5,𝔽2)11yescharacteristic
785C22×C17C2×H(5,𝔽2)11yescharacteristic
786C22×C17C2×H(5,𝔽2)11yescharacteristic
787C22×C17C2×2−1+411yescharacteristic
788C22×C17#58511yescharacteristic
789C2×D17—22no—
790C2×D17—22no—
791C2×D17—22no—
792C2×D17—22no—
793C2×D17—22no—
794C2×D17—22no—
795C2×D17—416no—
796C2×D17—41no—
797C2×D17—41no—
798C2×D17—41no—
799C2×D17—41no—
800C2×D17—41no—
801C2×D17—41no—
802C2×D17—41no—
803C2×D17—41no—
804C4×C17—22no—
805C4×C17—22no—
806C4×C17—22no—
807C4×C17—41no—
808C4×C17—41no—
809C4×C17—41no—
810C4×C17—41no—
811C4×C17—41no—
812C4×C17—41no—
813C4×C17—41no—
814C4×C17—41no—
815Dic17—41no—
816Dic17—41no—
817Dic17—41no—
818Dic17—41no—
819Dic17—41no—
820Dic17—41no—
821Dic17—41no—
822Dic17—41no—
823Dic17—41no—
824Dic17—41no—
825Dic17—41no—
826Dic17—41no—
827Dic17—41no—
828Dic17—41no—
829C24×C4—171no—
830C2×#125—171no—
831C2×#123—171no—
832C2×#123—171no—
833C2×#123—171no—
834C2×#123—171no—
835C2×#123—171no—
836C2×#123—171no—
837C2×#121—171no—
838C2×#121—171no—
839C2×#121—171no—
840C2×#121C2×D1711yescharacteristic
841C2×#121C2×D1711yescharacteristic
842C2×#121C2×D1711yescharacteristic
843C2×#121C2×D1711yescharacteristic, complemented
844C2×#120—171no—
845C2×#120—171no—
846C2×#120—171no—
847C2×C4×D4—171no—
848C2×C4×D4—171no—
849C2×C4×D4C2×D1711yescharacteristic
850C22×C4⋊C4—171no—
851C22×C4⋊C4C2×D1711yescharacteristic
852C22×C22⋊C4—171no—
853C22×C22⋊C4—171no—
854#400—171no—
855#400—171no—
856#400—171no—
857#400—171no—
858#400—171no—
859#399—171no—
860#399—171no—
861#399—171no—
862#399—171no—
863#399—171no—
864#398—171no—
865#398—171no—
866#398—171no—
867#398—171no—
868#398—171no—
869#398—171no—
870#398—171no—
871#398—171no—
872#397—171no—
873#397—171no—
874#397—171no—
875#397—171no—
876#397—171no—
877#397—171no—
878#396—171no—
879#396—171no—
880#396—171no—
881#396—171no—
882#396—171no—
883#396—171no—
884#396—171no—
885#396—171no—
886#396C2×D1711yescharacteristic, complemented
887#396C2×D1711yescharacteristic, complemented
888#394—171no—
889#394—171no—
890#394—171no—
891#394—171no—
892#394—171no—
893#394—171no—
894#394—171no—
895#394—171no—
896#394—171no—
897#394C2×D1711yescharacteristic, complemented
898#394C2×D1711yescharacteristic, complemented
899#392—171no—
900#392—171no—
901#392—171no—
902#390—171no—
903#390—171no—
904#390—171no—
905#390—171no—
906#390—171no—
907#390C2×D1711yescharacteristic, complemented
908#389—171no—
909#389—171no—
910#389—171no—
911#389C2×D1711yescharacteristic, complemented
912#388—171no—
913#388—171no—
914#388—171no—
915#388—171no—
916#388—171no—
917#388—171no—
918#388—171no—
919#388—171no—
920#388—171no—
921#388—171no—
922#387—171no—
923#387—171no—
924#387—171no—
925#387—171no—
926#387—171no—
927#387—171no—
928#386—171no—
929#386—171no—
930#386—171no—
931#386—171no—
932#386—171no—
933#386—171no—
934#386—171no—
935#386—171no—
936#386—171no—
937#386—171no—
938#386—171no—
939#386—171no—
940#386—171no—
941#386—171no—
942#386—171no—
943#386—171no—
944#386—171no—
945#386C2×D1711yescharacteristic
946#386C2×D1711yescharacteristic
947#385—171no—
948#385—171no—
949#385—171no—
950#385—171no—
951#385—171no—
952#385—171no—
953#385—171no—
954#385—171no—
955#385—171no—
956#385—171no—
957#385—171no—
958#385—171no—
959#385—171no—
960#385—171no—
961#385—171no—
962#385—171no—
963#385—171no—
964#383—171no—
965#382—171no—
966#382—171no—
967#381—171no—
968#381—171no—
969#381—171no—
970#381—171no—
971#381—171no—
972#380—171no—
973#380—171no—
974#380—171no—
975#380—171no—
976#380—171no—
977#380—171no—
978#380—171no—
979#380C2×D1711yescharacteristic, complemented
980#379—171no—
981C4×C22⋊C4—171no—
982C2×#95—171no—
983C2×#95—171no—
984C2×C17—24no—
985C2×C17—81no—
986C2×C17—81no—
987C2×C17—81no—
988C2×C17C2×#54011yescharacteristic
989C2×C17#349211yescharacteristic
990C2×C17#350511yescharacteristic
991C2×C17#353211yescharacteristic
992C2×C17#353411yescharacteristic
993C2×C17#353511yescharacteristic
994C2×C17#353611yescharacteristic
995D17—42no—
996D17—42no—
997C25—171no—
998C22×D4—171no—
999C22×D4—171no—
1000C22×D4—171no—
1001C22×D4—171no—
1002C22×D4—171no—
1003C22×D4—171no—
1004C22×D4C22×D1711yescharacteristic
1005C22×D4C22×D1711yescharacteristic
1006C22×D4C22×D1711yescharacteristic
1007C22×D4C22×D1711yescharacteristic
1008C22×D4C22×D1711yescharacteristic
1009C22×D4C22×D1711yescharacteristic
1010C23×C4—171no—
1011C23×C4—171no—
1012C23×C4—171no—
1013C23×C4—171no—
1014C23×C4—171no—
1015C23×C4—171no—
1016C23×C4—171no—
1017C23×C4—171no—
1018C23×C4—171no—
1019C23×C4—682no—
1020C23×C4—682no—
1021C23×C4—682no—
1022C23×C4C22×D1711yescharacteristic
1023C23×C4C22×D1711yescharacteristic
1024C23×C4C22×D1711yescharacteristic
1025C23×C4C22×D1711yescharacteristic
1026#125—682no—
1027#123—682no—
1028#123—682no—
1029#123—682no—
1030#123—682no—
1031#123—682no—
1032#123—682no—
1033#121—24no—
1034#121—42no—
1035#121—42no—
1036#121—42no—
1037#121—682no—
1038#121—682no—
1039#121—682no—
1040#120—682no—
1041#120—682no—
1042#120—682no—
1043C4×D4—24no—
1044C4×D4—682no—
1045C4×D4—682no—
1046C2×C4⋊C4—42no—
1047C2×C4⋊C4—171no—
1048C2×C4⋊C4—171no—
1049C2×C4⋊C4—171no—
1050C2×C4⋊C4—171no—
1051C2×C4⋊C4—171no—
1052C2×C4⋊C4—171no—
1053C2×C4⋊C4—171no—
1054C2×C4⋊C4—171no—
1055C2×C4⋊C4—171no—
1056C2×C4⋊C4—171no—
1057C2×C4⋊C4—171no—
1058C2×C4⋊C4—171no—
1059C2×C4⋊C4—171no—
1060C2×C4⋊C4—171no—
1061C2×C4⋊C4—171no—
1062C2×C4⋊C4—171no—
1063C2×C4⋊C4—171no—
1064C2×C4⋊C4—171no—
1065C2×C4⋊C4—171no—
1066C2×C4⋊C4—171no—
1067C2×C4⋊C4—171no—
1068C2×C4⋊C4—171no—
1069C2×C4⋊C4—171no—
1070C2×C4⋊C4—171no—
1071C2×C4⋊C4—171no—
1072C2×C4⋊C4—171no—
1073C2×C4⋊C4—682no—
1074C2×C4⋊C4C22×D1711yescharacteristic
1075C2×C4⋊C4C22×D1711yescharacteristic
1076C2×C4⋊C4C22×D1711yescharacteristic
1077C2×C4⋊C4C22×D1711yescharacteristic
1078C2×C4⋊C4C22×D1711yescharacteristic
1079C2×C4⋊C4C22×D1711yescharacteristic
1080C2×C4⋊C4C22×D1711yescharacteristic
1081C2×C4⋊C4C22×D1711yescharacteristic
1082C2×C22⋊C4—171no—
1083C2×C22⋊C4—171no—
1084C2×C22⋊C4—171no—
1085C2×C22⋊C4—171no—
1086C2×C22⋊C4—171no—
1087C2×C22⋊C4—171no—
1088C2×C22⋊C4—171no—
1089C2×C22⋊C4—171no—
1090C2×C22⋊C4—171no—
1091C2×C22⋊C4—171no—
1092C2×C22⋊C4—171no—
1093C2×C22⋊C4—171no—
1094C2×C22⋊C4—171no—
1095C2×C22⋊C4—171no—
1096C2×C22⋊C4—171no—
1097C2×C22⋊C4—171no—
1098C2×C22⋊C4—171no—
1099C2×C22⋊C4—171no—
1100C2×C22⋊C4—171no—
1101C2×C22⋊C4—171no—
1102C2×C22⋊C4—171no—
1103C2×C22⋊C4—171no—
1104C2×C22⋊C4—171no—
1105C2×C22⋊C4—171no—
1106C2×C22⋊C4—171no—
1107C2×C22⋊C4—171no—
1108C2×C22⋊C4—171no—
1109C2×C22⋊C4—171no—
1110C2×C22⋊C4—171no—
1111C2×C22⋊C4—171no—
1112C2×C22⋊C4—171no—
1113C2×C22⋊C4—171no—
1114C2×C22⋊C4—171no—
1115C2×C22⋊C4—171no—
1116C2×C22⋊C4—171no—
1117C2×C22⋊C4—171no—
1118C2×C22⋊C4—171no—
1119C2×C22⋊C4—171no—
1120C2×C22⋊C4—344no—
1121C2×C22⋊C4—682no—
1122C2×C22⋊C4C22×D1711yescharacteristic
1123C2×C22⋊C4C22×D1711yescharacteristic
1124C2×C22⋊C4C22×D1711yescharacteristic
1125C2×C22⋊C4C22×D1711yescharacteristic
1126C2×C22⋊C4C22×D1711yescharacteristic
1127C2×C22⋊C4C22×D1711yescharacteristic
1128C2×C22⋊C4C22×D1711yescharacteristic
1129C2×C22⋊C4C22×D1711yescharacteristic
1130C2×C22⋊C4C22×D1711yescharacteristic
1131C2×C22⋊C4C22×D1711yescharacteristic
1132C2×C22⋊C4C22×D1711yescharacteristic
1133C2×C22⋊C4C22×D1711yescharacteristic
1134C2×C42—171no—
1135C2×C42—171no—
1136C2×C42—171no—
1137C2×C42—171no—
1138C2×C42C22×D1711yescharacteristic
1139#95—171no—
1140#95—171no—
1141#95—171no—
1142#95—171no—
1143#95—171no—
1144#95—171no—
1145#95—171no—
1146#95—171no—
1147#95—171no—
1148#95—171no—
1149#95—171no—
1150#95—171no—
1151#95—171no—
1152#95—171no—
1153#95—171no—
1154#95—171no—
1155#95—171no—
1156#95—171no—
1157#95—171no—
1158#95—171no—
1159#95—171no—
1160#95—171no—
1161#95—171no—
1162#95—171no—
1163#95—171no—
1164#95—171no—
1165#95—171no—
1166#95—171no—
1167#95—171no—
1168#95—171no—
1169#95—171no—
1170#95—171no—
1171#95—171no—
1172#95—171no—
1173#95—171no—
1174#95—171no—
1175#95C22×D1711yescharacteristic
1176#95C22×D1711yescharacteristic
1177#95C22×D1711yescharacteristic
1178#95C22×D1711yescharacteristic
1179C17#3677711yescharacteristic, complemented, Sylow
1180C24—171no—
1181C24—171no—
1182C24—342no—
1183C24—342no—
1184C24—342no—
1185C24—342no—
1186C24—342no—
1187C24—681no—
1188C24—681no—
1189C24C23×D1711yescharacteristic
1190C24C23×D1711yescharacteristic
1191C24C23×D1711yescharacteristic
1192C24C23×D1711yescharacteristic
1193C2×D4—22no—
1194C2×D4—22no—
1195C2×D4—22no—
1196C2×D4—22no—
1197C2×D4—22no—
1198C2×D4—22no—
1199C2×D4—22no—
1200C2×D4—22no—
1201C2×D4—22no—
1202C2×D4—22no—
1203C2×D4—22no—
1204C2×D4—41no—
1205C2×D4—41no—
1206C2×D4—41no—
1207C2×D4—41no—
1208C2×D4—41no—
1209C2×D4—41no—
1210C2×D4—41no—
1211C2×D4—342no—
1212C2×D4—342no—
1213C2×D4—342no—
1214C2×D4—342no—
1215C2×D4—342no—
1216C2×D4—342no—
1217C2×D4—681no—
1218C2×D4—681no—
1219C2×D4—681no—
1220C2×D4—681no—
1221C2×D4—681no—
1222C2×D4—681no—
1223C2×D4—681no—
1224C2×D4—681no—
1225C2×D4—681no—
1226C2×D4—681no—
1227C2×D4—681no—
1228C2×D4—681no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—41no—
1234C22×C4—41no—
1235C22×C4—41no—
1236C22×C4—41no—
1237C22×C4—41no—
1238C22×C4—41no—
1239C22×C4—41no—
1240C22×C4—171no—
1241C22×C4—171no—
1242C22×C4—171no—
1243C22×C4—171no—
1244C22×C4—171no—
1245C22×C4—171no—
1246C22×C4—171no—
1247C22×C4—171no—
1248C22×C4—171no—
1249C22×C4—171no—
1250C22×C4—171no—
1251C22×C4—171no—
1252C22×C4—171no—
1253C22×C4—171no—
1254C22×C4—342no—
1255C22×C4—342no—
1256C22×C4—342no—
1257C22×C4—342no—
1258C22×C4—342no—
1259C22×C4—342no—
1260C22×C4—342no—
1261C22×C4—342no—
1262C22×C4—342no—
1263C22×C4—681no—
1264C22×C4—681no—
1265C22×C4—681no—
1266C22×C4—681no—
1267C22×C4—681no—
1268C22×C4—681no—
1269C22×C4—681no—
1270C22×C4—681no—
1271C22×C4—6816no—
1272C22×C4—681no—
1273C22×C4—681no—
1274C22×C4—681no—
1275C22×C4—681no—
1276C22×C4—681no—
1277C22×C4—681no—
1278C22×C4—681no—
1279C22×C4—681no—
1280C22×C4—681no—
1281C22×C4—681no—
1282C22×C4#6325414yes—
1283C22×C4C23×D1711yescharacteristic
1284C22×C4C23×D1711yescharacteristic
1285C22×C4C23×D1711yescharacteristic
1286C22×C4C23×D1711yescharacteristic
1287C22×C4C23×D1711yescharacteristic
1288C22×C4C23×D1711yescharacteristic
1289C22×C4C23×D1711yescharacteristic
1290C22×C4C23×D1711yescharacteristic
1291C22×C4C23×D1711yescharacteristic
1292C22×C4C23×D1711yescharacteristic
1293C22×C4C23×D1711yescharacteristic
1294C4⋊C4—22no—
1295C4⋊C4—22no—
1296C4⋊C4—22no—
1297C4⋊C4—22no—
1298C4⋊C4—41no—
1299C4⋊C4—41no—
1300C4⋊C4—41no—
1301C4⋊C4—41no—
1302C4⋊C4—342no—
1303C4⋊C4—342no—
1304C4⋊C4—681no—
1305C4⋊C4—681no—
1306C4⋊C4—681no—
1307C4⋊C4—681no—
1308C4⋊C4—681no—
1309C4⋊C4—681no—
1310C4⋊C4—681no—
1311C4⋊C4—681no—
1312C4⋊C4—681no—
1313C4⋊C4—681no—
1314C4⋊C4—681no—
1315C4⋊C4—681no—
1316C4⋊C4—681no—
1317C4⋊C4—681no—
1318C4⋊C4—681no—
1319C4⋊C4—681no—
1320C4⋊C4—681no—
1321C4⋊C4—681no—
1322C4⋊C4—681no—
1323C4⋊C4—681no—
1324C4⋊C4—681no—
1325C4⋊C4—681no—
1326C4⋊C4—681no—
1327C4⋊C4—681no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—22no—
1332C22⋊C4—22no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—342no—
1341C22⋊C4—342no—
1342C22⋊C4—342no—
1343C22⋊C4—342no—
1344C22⋊C4—342no—
1345C22⋊C4—342no—
1346C22⋊C4—342no—
1347C22⋊C4—342no—
1348C22⋊C4—342no—
1349C22⋊C4—342no—
1350C22⋊C4—342no—
1351C22⋊C4—342no—
1352C22⋊C4—681no—
1353C22⋊C4—681no—
1354C22⋊C4—681no—
1355C22⋊C4—681no—
1356C22⋊C4—681no—
1357C22⋊C4—681no—
1358C22⋊C4—681no—
1359C22⋊C4—681no—
1360C22⋊C4—681no—
1361C22⋊C4—681no—
1362C22⋊C4—681no—
1363C22⋊C4—681no—
1364C22⋊C4—681no—
1365C22⋊C4—681no—
1366C22⋊C4—681no—
1367C22⋊C4—681no—
1368C22⋊C4—681no—
1369C22⋊C4—681no—
1370C22⋊C4—681no—
1371C22⋊C4—681no—
1372C22⋊C4—681no—
1373C22⋊C4—681no—
1374C22⋊C4—681no—
1375C22⋊C4—681no—
1376C22⋊C4—681no—
1377C22⋊C4—681no—
1378C42—22no—
1379C42—681no—
1380C42—681no—
1381C42—681no—
1382C42—681no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—172no—
1409C23—172no—
1410C23—348no—
1411C23—341no—
1412C23—341no—
1413C23—341no—
1414C23—341no—
1415C23—341no—
1416C23—341no—
1417C23—341no—
1418C23—341no—
1419C23—341no—
1420C23—341no—
1421C23—341no—
1422C23—341no—
1423C23—684no—
1424C23—684no—
1425C23—684no—
1426C23—684no—
1427C23—684no—
1428C23—684no—
1429C23C2×#6325412yes—
1430C23#1058769112yes—
1431C23#1058769612yes—
1432C23C24×D1711yescharacteristic
1433D4—44no—
1434D4—44no—
1435D4—44no—
1436D4—82no—
1437D4—82no—
1438D4—82no—
1439D4—1362no—
1440D4—1362no—
1441D4—1362no—
1442D4—1362no—
1443D4—1362no—
1444D4—1362no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—44no—
1476C2×C4—44no—
1477C2×C4—82no—
1478C2×C4—82no—
1479C2×C4—341no—
1480C2×C4—341no—
1481C2×C4—341no—
1482C2×C4—341no—
1483C2×C4—341no—
1484C2×C4—341no—
1485C2×C4—341no—
1486C2×C4—341no—
1487C2×C4—341no—
1488C2×C4—341no—
1489C2×C4—341no—
1490C2×C4—341no—
1491C2×C4—341no—
1492C2×C4—341no—
1493C2×C4—341no—
1494C2×C4—341no—
1495C2×C4—341no—
1496C2×C4—341no—
1497C2×C4—341no—
1498C2×C4—341no—
1499C2×C4—341no—
1500C2×C4—341no—
1501C2×C4—341no—
1502C2×C4—341no—
1503C2×C4—341no—
1504C2×C4—341no—
1505C2×C4—341no—
1506C2×C4—341no—
1507C2×C4—341no—
1508C2×C4—341no—
1509C2×C4—341no—
1510C2×C4—341no—
1511C2×C4—341no—
1512C2×C4—341no—
1513C2×C4—341no—
1514C2×C4—341no—
1515C2×C4—341no—
1516C2×C4—341no—
1517C2×C4—341no—
1518C2×C4—341no—
1519C2×C4—341no—
1520C2×C4—341no—
1521C2×C4—684no—
1522C2×C4—684no—
1523C2×C4—684no—
1524C2×C4—684no—
1525C2×C4—684no—
1526C2×C4—684no—
1527C2×C4—1362no—
1528C2×C4—1362no—
1529C2×C4—1362no—
1530C2×C4C2×#6325412yes—
1531C2×C4C2×#6325412yes—
1532C2×C4#1058769112yes—
1533C22—22no—
1534C22—22no—
1535C22—22no—
1536C22—22no—
1537C22—22no—
1538C22—22no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—342no—
1561C22—342no—
1562C22—342no—
1563C22—342no—
1564C22—342no—
1565C22—342no—
1566C22—6816no—
1567C22—681no—
1568C22—681no—
1569C22—681no—
1570C22—681no—
1571C22—681no—
1572C22—681no—
1573C22—681no—
1574C22—681no—
1575C22#1176341214yes—
1576C22C22×#6325411yescharacteristic
1577C22H(5,𝔽2)×D1711yescharacteristic
1578C22C2×#1058769111yescharacteristic
1579C22C2×#1058769111yescharacteristic
1580C22C2×#1058769611yescharacteristic
1581C222−1+4×D1711yescharacteristic
1582C22#1176364511yescharacteristic
1583C4—22no—
1584C4—22no—
1585C4—22no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—681no—
1595C4—681no—
1596C4—681no—
1597C4—681no—
1598C4—681no—
1599C4—681no—
1600C4—681no—
1601C4—681no—
1602C4—681no—
1603C4—681no—
1604C4—681no—
1605C4—681no—
1606C4—681no—
1607C4—681no—
1608C2—24no—
1609C2—81no—
1610C2—81no—
1611C2—81no—
1612C2—682no—
1613C2—682no—
1614C2C2×#1176341211yescharacteristic
1615C2#1454249111yescharacteristic
1616C2#1454261811yescharacteristic
1617C2#1454293411yescharacteristic
1618C2#1454296111yescharacteristic
1619C2#1454298511yescharacteristic
1620C2#1454300011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D17
commutator, socle, cosocleC23×C17C25
FittingC17×#2416C2
hypercenter#2416D17
hypocenterC17#36777
LCSG ▷ C23×C17 ▷ C17
UCSC1 ◁ C23 ◁ #2416

Complements

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

NH ≅ G/Ntype
1. #14537075C2semidirect
2. #14537063C2semidirect
3. #14536434C2semidirect
4. #14536425C2semidirect
5. #14536264C2semidirect
6. #14536170C2semidirect
7. #14536066C2semidirect
8. #14536005C2semidirect
9. #14535994C2semidirect
10. #14535919C2semidirect
11. #14535857C2semidirect
12. #14535546C2semidirect
13. #14535493C2semidirect
14. #14535467C2semidirect
15. #14535404C2semidirect
16. #14535399C2semidirect
17. #14535216C2semidirect
18. #14535015C2semidirect
19. #14534568C2semidirect
20. #14534528C2semidirect
21. #14533716C2semidirect
22. #14533670C2semidirect
23. #14532502C2semidirect
24. #14532341C2semidirect
25. #14532326C2semidirect
26. #14532259C2semidirect
27. #14532244C2semidirect
28. #14531489C2semidirect
29. #14531417C2semidirect
30. C2×#11762680C2semidirect
31. C17×#2416C2semidirect
33. C2×#10587576C22semidirect
51. #11762750C22semidirect
52. #11762750C22semidirect
53. #11762749C22semidirect
54. #11762748C22semidirect
55. #11762748C22semidirect
57. #11762745C22semidirect
58. #11762745C22semidirect
61. #11762743C22semidirect
62. #11762743C22semidirect
63. #11762742C22semidirect
64. #11762742C22semidirect
65. #11762742C22semidirect
66. #11762741C22semidirect
67. #11762740C22semidirect
68. #11762740C22semidirect
69. #11762737C22semidirect
70. #11762737C22semidirect
71. #11762737C22semidirect
73. #11762734C22semidirect
74. #11762734C22semidirect
75. #11762732C22semidirect
76. #11762732C22semidirect
77. #11762732C22semidirect
78. #11762732C22semidirect
79. #11762732C22semidirect
89. #11762723C22semidirect
90. #11762723C22semidirect
91. #11762723C22semidirect
100. #11762708C22semidirect
101. #11762705C22semidirect
102. #11762704C22semidirect
103. #11762703C22semidirect
104. #11762702C22semidirect
105. #11762702C22semidirect
106. #11762702C22semidirect
107. #11762702C22semidirect
113. #11762695C22semidirect
114. #11762695C22semidirect
115. #11762695C22semidirect
116. #11762695C22semidirect
117. #11762694C22semidirect
118. #11762694C22semidirect
123. #11762689C22semidirect
124. #11762689C22semidirect
125. #11762689C22semidirect
138. #11762684C22semidirect
139. #11762684C22semidirect
140. #11762684C22semidirect
153. #11762677C22semidirect
154. #11762675C22semidirect
155. #11762674C22semidirect
156. #11762672C22semidirect
160. #11762670C22semidirect
164. #11762669C22semidirect
165. #11762667C22semidirect
175. C2×C17×#121C22semidirect
178. C17×#396C22semidirect
179. C17×#396C22semidirect
180. C17×#394C22semidirect
181. C17×#394C22semidirect
182. C17×#390C22semidirect
183. C17×#389C22semidirect
186. C17×#380C22semidirect
750. #2416D17semidirect
843. C2×#121C2×D17semidirect
886. #396C2×D17semidirect
887. #396C2×D17semidirect
897. #394C2×D17semidirect
898. #394C2×D17semidirect
907. #390C2×D17semidirect
911. #389C2×D17semidirect
979. #380C2×D17semidirect
1179. C17#36777semidirect

Maximal subgroups

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

subgroupindex
#145370752
#145370632
#145364342
#145364252
#145362642
#145361702
#145360662
#145360052
#145359942
#145359192
#145358572
#145355462
#145354932
#145354672
#145354042
#145353992
#145352162
#145350152
#145345682
#145345282
#145337162
#145336702
#145325022
#145323412
#145323262
#145322592
#145322442
#145314892
#145314172
C2×#117626802
C17×#24162
#3677717