Finite Group Databasebeta

← #17243115

Subgroups — #17243115

Order 4352.

2142 conjugacy classes of subgroups.

The subgroup lattice has 1628 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#14536730C211yesmaximal, characteristic, complemented
4#14536643C211yesmaximal, characteristic, complemented
5#14536530C211yesmaximal, characteristic, complemented
6#14536482C211yesmaximal, characteristic, complemented
7#14536433C211yesmaximal, characteristic, complemented
8#14536395C211yesmaximal, characteristic, complemented
9#14536034C211yesmaximal, characteristic, complemented
10#14536015C211yesmaximal, characteristic, complemented
11#14535956C211yesmaximal, characteristic, complemented
12#14535523C211yesmaximal, characteristic, complemented
13#14535496C211yesmaximal, characteristic, complemented
14#14535495C211yesmaximal, characteristic, complemented
15#14535313C211yesmaximal, characteristic, complemented
16#14535189C211yesmaximal, characteristic, complemented
17#14535151C211yesmaximal, characteristic, complemented
18#14534736C211yesmaximal, characteristic, complemented
19#14534715C211yesmaximal, characteristic, complemented
20#14533041C211yesmaximal, characteristic, complemented
21#14532916C211yesmaximal, characteristic, complemented
22#14532512C211yesmaximal, characteristic, complemented
23#14532459C211yesmaximal, characteristic, complemented
24#14532387C211yesmaximal, characteristic, complemented
25#14532323C211yesmaximal, characteristic, complemented
26#14532166C211yesmaximal, characteristic, complemented
27#14532098C211yesmaximal, characteristic, complemented
28#14531454C211yesmaximal, characteristic, complemented
29#14531374C211yesmaximal, characteristic, complemented
30D17×#385C211yesmaximal, characteristic, complemented
31C17×#2714C211yesmaximal, characteristic, complemented
32C22×#63254C2211yescharacteristic
33C23×C4×D17C2211yescharacteristic
34C2×#10587571C2211yescharacteristic
35C2×#10587569C2211yescharacteristic
36C2×#10587569C2211yescharacteristic
37C2×#10587569C2211yescharacteristic
38C2×#10587621C2211yescharacteristic, complemented
39C2×#10587582C2211yescharacteristic
40C2×#10587625C2211yescharacteristic
41C2×#10587624C2211yescharacteristic
42C2×#10587624C2211yescharacteristic
43C2×#10587624C2211yescharacteristic
44C2×#10587623C2211yescharacteristic
45C2×#10587623C2211yescharacteristic
46C2×#10587623C2211yescharacteristic
47C2×#10587567C2211yescharacteristic
48C2×#10587558C2211yescharacteristic
49C2×C4⋊C4×D17C2211yescharacteristic
50C2×C4⋊C4×D17C2211yescharacteristic
51C2×C22⋊C4×D17C2211yescharacteristic
52C2×C22⋊C4×D17C2211yescharacteristic
53C17⋊#401C2211yescharacteristic, complemented
54#11762751C2211yescharacteristic, complemented
55#11762750C2211yescharacteristic, complemented
56#11762750C2211yescharacteristic, complemented
57#11762749C2211yescharacteristic, complemented
58#11762748C2211yescharacteristic, complemented
59#11762748C2211yescharacteristic, complemented
60#11762748C2211yescharacteristic, complemented
61#11762747C2211yescharacteristic, complemented
62#11762745C2211yescharacteristic, complemented
63#11762742C2211yescharacteristic, complemented
64#11762742C2211yescharacteristic, complemented
65#11762740C2211yescharacteristic, complemented
66#11762737C2211yescharacteristic, complemented
67#11762737C2211yescharacteristic, complemented
68#11762737C2211yescharacteristic, complemented
69#11762737C2211yescharacteristic, complemented
70#11762735C2211yescharacteristic
71#11762734C2211yescharacteristic, complemented
72#11762734C2211yescharacteristic, complemented
73#11762732C2211yescharacteristic
74#11762732C2211yescharacteristic
75#11762732C2211yescharacteristic, complemented
76#11762732C2211yescharacteristic, complemented
77#11762731C2211yescharacteristic
78#11762730C2211yescharacteristic, complemented
79#11762730C2211yescharacteristic, complemented
80#11762725C2211yescharacteristic
81#11762724C2211yescharacteristic
82#11762724C2211yescharacteristic
83#11762724C2211yescharacteristic
84#11762723C2211yescharacteristic
85#11762723C2211yescharacteristic
86#11762723C2211yescharacteristic, complemented
87#11762723C2211yescharacteristic, complemented
88#11762722C2211yescharacteristic
89#11762721C2211yescharacteristic
90#11762721C2211yescharacteristic
91#11762721C2211yescharacteristic, complemented
92#11762721C2211yescharacteristic, complemented
93#11762721C2211yescharacteristic, complemented
94#11762717C2211yescharacteristic
95#11762715C2211yescharacteristic, complemented
96#11762715C2211yescharacteristic, complemented
97#11762714C2211yescharacteristic, complemented
98#11762712C2211yescharacteristic
99#11762712C2211yescharacteristic, complemented
100#11762709C2211yescharacteristic
101#11762707C2211yescharacteristic, complemented
102#11762706C2211yescharacteristic, complemented
103#11762704C2211yescharacteristic, complemented
104#11762703C2211yescharacteristic
105#11762703C2211yescharacteristic, complemented
106#11762703C2211yescharacteristic, complemented
107#11762702C2211yescharacteristic, complemented
108#11762701C2211yescharacteristic
109#11762700C2211yescharacteristic
110#11762700C2211yescharacteristic
111#11762697C2211yescharacteristic
112#11762696C2211yescharacteristic, complemented
113#11762696C2211yescharacteristic, complemented
114#11762695C2211yescharacteristic, complemented
115#11762693C2211yescharacteristic, complemented
116#11762692C2211yescharacteristic, complemented
117#11762692C2211yescharacteristic, complemented
118#11762689C2211yescharacteristic
119#11762689C2211yescharacteristic
120#11762689C2211yescharacteristic
121#11762689C2211yescharacteristic
122#11762689C2211yescharacteristic
123#11762689C2211yescharacteristic
124#11762689C2211yescharacteristic, complemented
125#11762689C2211yescharacteristic, complemented
126#11762686C2211yescharacteristic
127#11762686C2211yescharacteristic
128#11762685C2211yescharacteristic
129#11762685C2211yescharacteristic
130#11762685C2211yescharacteristic
131#11762685C2211yescharacteristic
132#11762685C2211yescharacteristic
133#11762685C2211yescharacteristic
134#11762685C2211yescharacteristic
135#11762685C2211yescharacteristic
136#11762685C2211yescharacteristic
137#11762685C2211yescharacteristic
138#11762685C2211yescharacteristic
139#11762685C2211yescharacteristic
140#11762684C2211yescharacteristic
141#11762684C2211yescharacteristic
142#11762684C2211yescharacteristic, complemented
143#11762684C2211yescharacteristic, complemented
144#11762684C2211yescharacteristic, complemented
145#11762684C2211yescharacteristic, complemented
146#11762683C2211yescharacteristic
147#11762683C2211yescharacteristic
148#11762683C2211yescharacteristic
149#11762683C2211yescharacteristic
150#11762683C2211yescharacteristic
151#11762682C2211yescharacteristic
152#11762682C2211yescharacteristic
153#11762681C2211yescharacteristic
154#11762681C2211yescharacteristic, complemented
155#11762680C2211yescharacteristic
156#11762680C2211yescharacteristic
157#11762680C2211yescharacteristic
158#11762671C2211yescharacteristic
159#11762671C2211yescharacteristic
160#11762671C2211yescharacteristic
161#11762669C2211yescharacteristic
162#11762667C2211yescharacteristic, complemented
163#11762667C2211yescharacteristic, complemented
164#11762667C2211yescharacteristic, complemented
165#11762667C2211yescharacteristic, complemented
166#11762666C2211yescharacteristic
167#11762666C2211yescharacteristic
168#11762664C2211yescharacteristic
169C4×#63227C2211yescharacteristic
170#95×D17C2211yescharacteristic
171#95×D17C2211yescharacteristic
172C2×C17×#126C2211yescharacteristic, complemented
173C2×C17×#121C2211yescharacteristic
174C17×#397C2211yescharacteristic, complemented
175C17×#394C2211yescharacteristic, complemented
176C17×#394C2211yescharacteristic, complemented
177C17×#392C2211yescharacteristic
178C17×#392C2211yescharacteristic
179C17×#392C2211yescharacteristic, complemented
180C17×#390C2211yescharacteristic
181C17×#390C2211yescharacteristic
182C17×#390C2211yescharacteristic, complemented
183C17×#388C2211yescharacteristic, complemented
184C17×#387C2211yescharacteristic, complemented
185C17×#386C2211yescharacteristic
186C17×#385C2211yescharacteristic
187C24×D17C2311yescharacteristic
188C22×D4×C17C2311yescharacteristic
189C22×D4×C17C2311yescharacteristic
190C22×D4×C17C2311yescharacteristic
191C22×D4×C17C2311yescharacteristic
192C22×D4×C17C2311yescharacteristic
193C22×D4×C17C2311yescharacteristic
194C23×C4×C17C2311yescharacteristic
195C22×C22⋊D17C2311yescharacteristic
196C22×C22⋊D17C2311yescharacteristic
197C22×C22⋊D17C2311yescharacteristic
198C22×C22⋊D17C2311yescharacteristic
199C22×C22⋊D17C2311yescharacteristic
200C22×C22⋊D17C2311yescharacteristic
201C23×Dic17C2311yescharacteristic
202C23×Dic17C2311yescharacteristic
203C23×Dic17C2311yescharacteristic
204C23×Dic17C2311yescharacteristic
205C2×#63254—24no—
206C2×#63254—42no—
207C2×#63254—42no—
208C22×C4×D17—42no—
209C22×C4×D17—42no—
210C22×C4×D17—42no—
211C22×C4×D17C2311yescharacteristic
212C22×C4×D17C2311yescharacteristic
213C22×C4×D17C2311yescharacteristic
214C22×C4×D17C2311yescharacteristic
215C22×C4×D17C2311yescharacteristic
216C22×C4×D17C2311yescharacteristic
217C22×C4×D17C2311yescharacteristic
218C22×C4×D17C2311yescharacteristic
219C22×Dic34C2311yescharacteristic
220C22×Dic34C2311yescharacteristic
221C17×#126—42no—
222C17×#121—42no—
223C2×C4⋊C4×C17C2311yescharacteristic
224C2×C4⋊C4×C17C2311yescharacteristic
225C2×C4⋊C4×C17C2311yescharacteristic
226C2×C4⋊C4×C17C2311yescharacteristic
227C2×C4⋊C4×C17C2311yescharacteristic
228C2×C22⋊C4×C17C2311yescharacteristic
229C2×C22⋊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×C22⋊C4×C17C2311yescharacteristic
243C2×C42×C17C2311yescharacteristic
244C2×C42×C17C2311yescharacteristic
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
263C2×C22⋊Dic17C2311yescharacteristic
264C2×C22⋊Dic17C2311yescharacteristic
265C2×C22⋊Dic17C2311yescharacteristic
266#10587625—42no—
267#10587624—42no—
268#10587624—42no—
269#10587624—42no—
270#10587623—42no—
271#10587623—42no—
272#10587623—42no—
273#10587621—42no—
274C2×#63227C2311yescharacteristic
275C2×#63227C2311yescharacteristic
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×C4⋊Dic17C2311yescharacteristic
289C2×C4⋊Dic17C2311yescharacteristic
290C2×C4⋊Dic17C2311yescharacteristic
291C2×C4⋊Dic17C2311yescharacteristic
292C2×C4⋊Dic17C2311yescharacteristic
293C2×C4⋊Dic17C2311yescharacteristic
294C2×C4⋊Dic17C2311yescharacteristic
295C2×C4⋊Dic17C2311yescharacteristic
296C2×C4⋊Dic17C2311yescharacteristic
297C2×#63225C2311yescharacteristic
298C2×#63225C2311yescharacteristic
299C2×#63225C2311yescharacteristic
300C2×#63225C2311yescharacteristic
301C2×#63225C2311yescharacteristic
302C2×#63225C2311yescharacteristic
303C2×#63225C2311yescharacteristic
304C2×#63225C2311yescharacteristic
305C2×#63225C2311yescharacteristic
306C2×#63225C2311yescharacteristic
307C2×#63225C2311yescharacteristic
308C2×#63225C2311yescharacteristic
309C2×#63225C2311yescharacteristic
310C2×#63225C2311yescharacteristic
311C2×C4×Dic17C2311yescharacteristic
312C2×C4×Dic17C2311yescharacteristic
313C2×C4×Dic17C2311yescharacteristic
314#10587582—42no—
315C4⋊C4×D17—42no—
316C4⋊C4×D17—42no—
317#10587571—42no—
318#10587569—24no—
319#10587569—42no—
320#10587569—42no—
321#10587567—42no—
322C22⋊C4×D17—24no—
323C22⋊C4×D17—42no—
324#10587558—42no—
325C17×#95C2311yescharacteristic
326C17×#95C2311yescharacteristic
327C17×#95C2311yescharacteristic
328C17×#95C2311yescharacteristic
329C17×#95C2311yescharacteristic
330C17×#95C2311yescharacteristic
331#10587502C2311yescharacteristic
332#10587502C2311yescharacteristic
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—41no—
388C2×D4×C17—41no—
389C2×D4×C17—41no—
390C2×D4×C17—41no—
391C2×D4×C17—41no—
392C2×D4×C17—41no—
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—41no—
402C22×C4×C17—41no—
403C22×C4×C17C2411yescharacteristic
404C22×C4×C17C2411yescharacteristic
405C22×C4×C17C2411yescharacteristic
406C22×C4×C17C2411yescharacteristic
407C22×C4×C17C2411yescharacteristic
408C22×C4×C17C2411yescharacteristic
409C22×C4×C17C2411yescharacteristic
410C22×C4×C17C2411yescharacteristic
411C22×C4×C17C2411yescharacteristic
412C22×C4×C17C2411yescharacteristic
413C22×C4×C17C2411yescharacteristic
414C2×C22⋊D17—22no—
415C2×C22⋊D17—22no—
416C2×C22⋊D17—22no—
417C2×C22⋊D17—22no—
418C2×C22⋊D17—22no—
419C2×C22⋊D17—22no—
420C2×C22⋊D17—22no—
421C2×C22⋊D17—22no—
422C2×C22⋊D17—22no—
423C2×C22⋊D17—22no—
424C2×C22⋊D17—22no—
425C2×C22⋊D17—22no—
426C2×C22⋊D17—41no—
427C2×C22⋊D17—41no—
428C2×C22⋊D17—41no—
429C2×C22⋊D17—41no—
430C2×C22⋊D17—41no—
431C2×C22⋊D17—41no—
432C22×Dic17—22no—
433C22×Dic17—22no—
434C22×Dic17—41no—
435C22×Dic17—41no—
436C22×Dic17—41no—
437C22×Dic17—41no—
438C22×Dic17—41no—
439C22×Dic17—41no—
440C22×Dic17—41no—
441C22×Dic17—41no—
442C22×Dic17—41no—
443C22×Dic17—41no—
444C22×Dic17C2411yescharacteristic
445C22×Dic17C2411yescharacteristic
446C22×Dic17C2411yescharacteristic
447C22×Dic17C2411yescharacteristic
448C22×Dic17C2411yescharacteristic
449C22×Dic17C2411yescharacteristic
450C22×Dic17C2411yescharacteristic
451C22×Dic17C2411yescharacteristic
452C22×Dic17C2411yescharacteristic
453C22×Dic17C2411yescharacteristic
454C22×Dic17C2411yescharacteristic
455C22×Dic17C2411yescharacteristic
456C22×Dic17C2411yescharacteristic
457C22×Dic17C2411yescharacteristic
458#63254—416no—
459C2×C4×D17—22no—
460C2×C4×D17—22no—
461C2×C4×D17—22no—
462C2×C4×D17—22no—
463C2×C4×D17—22no—
464C2×C4×D17—22no—
465C2×C4×D17—22no—
466C2×C4×D17—22no—
467C2×C4×D17—22no—
468C2×C4×D17—22no—
469C2×C4×D17—22no—
470C2×C4×D17—41no—
471C2×C4×D17—41no—
472C2×C4×D17—41no—
473C2×C4×D17—41no—
474C2×C4×D17—41no—
475C2×C4×D17—41no—
476C2×C4×D17—41no—
477C2×C4×D17—41no—
478C2×C4×D17—416no—
479C2×C4×D17—41no—
480C2×C4×D17—41no—
481C2×C4×D17—41no—
482C2×C4×D17—41no—
483C2×C4×D17#4114yes—
484C2×Dic34—22no—
485C2×Dic34—41no—
486C2×Dic34—41no—
487C2×Dic34—41no—
488C2×Dic34—41no—
489C2×Dic34—41no—
490C4⋊C4×C17—22no—
491C4⋊C4×C17—22no—
492C4⋊C4×C17—41no—
493C4⋊C4×C17—41no—
494C4⋊C4×C17—41no—
495C22⋊C4×C17—22no—
496C22⋊C4×C17—22no—
497C22⋊C4×C17—22no—
498C22⋊C4×C17—41no—
499C22⋊C4×C17—41no—
500C22⋊C4×C17—41no—
501C22⋊C4×C17—41no—
502C22⋊C4×C17—41no—
503C22⋊C4×C17—41no—
504C22⋊C4×C17—41no—
505C22⋊C4×C17—41no—
506C22⋊C4×C17—41no—
507C22⋊C4×C17—41no—
508C22⋊C4×C17—41no—
509C22⋊C4×C17—41no—
510C42×C17—41no—
511C42×C17—41no—
512C22⋊Dic17—22no—
513C22⋊Dic17—22no—
514C22⋊Dic17—22no—
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—
524C22⋊Dic17—41no—
525C22⋊Dic17—41no—
526C22⋊Dic17—41no—
527C22⋊Dic17—41no—
528C22⋊Dic17—41no—
529C22⋊Dic17—41no—
530C22⋊Dic17—41no—
531C22⋊Dic17—41no—
532C22⋊Dic17—41no—
533#63227—22no—
534#63227—22no—
535#63227—22no—
536#63227—22no—
537#63227—22no—
538#63227—22no—
539#63227—22no—
540#63227—22no—
541#63227—22no—
542#63227—22no—
543#63227—41no—
544#63227—41no—
545#63227—41no—
546#63227—41no—
547C4⋊Dic17—22no—
548C4⋊Dic17—41no—
549C4⋊Dic17—41no—
550C4⋊Dic17—41no—
551C4⋊Dic17—41no—
552C4⋊Dic17—41no—
553C4⋊Dic17—41no—
554C4⋊Dic17—41no—
555C4⋊Dic17—41no—
556#63225—22no—
557#63225—22no—
558#63225—22no—
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—
568#63225—41no—
569#63225—41no—
570C4×Dic17—41no—
571C4×Dic17—41no—
572C4×Dic17—41no—
573#36791—171nomaximal, Sylow
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×C17—21no—
599C23×C17—21no—
600C23×C17—21no—
601C23×C172−1+412yes—
602C23×C17C2511yescharacteristic
603C22×D17—21no—
604C22×D17—21no—
605C22×D17—21no—
606C22×D17—21no—
607C22×D17—28no—
608C22×D17—21no—
609C22×D17—21no—
610C22×D17—21no—
611C22×D17—21no—
612C22×D17—21no—
613C22×D17—21no—
614C22×D17—44no—
615C22×D17—44no—
616C22×D17—44no—
617C22×D17—44no—
618C22×D17—44no—
619C22×D17—44no—
620C22×D17C2×#4112yes—
621C22×D17H(5,𝔽2)12yes—
622C22×D17H(5,𝔽2)12yes—
623C22×D17H(5,𝔽2)12yes—
624D4×C17—44no—
625D4×C17—82no—
626D4×C17—82no—
627D4×C17—82no—
628D4×C17—82no—
629D4×C17—82no—
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—21no—
660C2×C4×C17—21no—
661C2×C4×C17—44no—
662C2×C4×C17C2×#4112yes—
663C2×C4×C17H(5,𝔽2)12yes—
664C22⋊D17—44no—
665C22⋊D17—44no—
666C22⋊D17—44no—
667C22⋊D17—82no—
668C22⋊D17—82no—
669C22⋊D17—82no—
670C2×Dic17—21no—
671C2×Dic17—21no—
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—44no—
712C2×Dic17—44no—
713C2×Dic17—44no—
714C2×Dic17—82no—
715C2×Dic17C2×#4112yes—
716C4×D17—28no—
717C4×D17—44no—
718C4×D17—44no—
719C4×D17—44no—
720C4×D17—44no—
721C4×D17—44no—
722C4×D17—82no—
723C4×D17—82no—
724Dic34—44no—
725Dic34—82no—
726#2849—171no—
727#2847—171no—
728#2804—171no—
729#2797—171no—
730#2788—171no—
731#2784—171no—
732#2780—171no—
733#2778—171no—
734#2751—171no—
735#2750—171no—
736#2745—171no—
737#2714D1711yescharacteristic, complemented
738#2710—171no—
739#2708—171no—
740#2708—171no—
741#2695—171no—
742#2686—171no—
743#2682—171no—
744#2643—171no—
745#2639—171no—
746#2481—171no—
747#2472—171no—
748#2443—171no—
749#2438—171no—
750#2430—171no—
751#2424—171no—
752#2411—171no—
753#2404—171no—
754#2322—171no—
755#2311—171no—
756C2×#385—171no—
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—41no—
782C22×C17—41no—
783C22×C17—41no—
784C22×C17—41no—
785C22×C17C22×#4111yescharacteristic
786C22×C17C2×H(5,𝔽2)11yescharacteristic
787C22×C17C2×H(5,𝔽2)11yescharacteristic
788C22×C17C2×H(5,𝔽2)11yescharacteristic
789C22×C17C2×H(5,𝔽2)11yescharacteristic
790C22×C17C2×2−1+411yescharacteristic
791C22×C17#58511yescharacteristic
792C2×D17—22no—
793C2×D17—22no—
794C2×D17—22no—
795C2×D17—22no—
796C2×D17—22no—
797C2×D17—22no—
798C2×D17—22no—
799C2×D17—22no—
800C2×D17—22no—
801C2×D17—416no—
802C2×D17—41no—
803C2×D17—41no—
804C2×D17—41no—
805C2×D17—41no—
806C2×D17#53814yes—
807C4×C17—22no—
808C4×C17—22no—
809C4×C17—41no—
810C4×C17—41no—
811C4×C17—41no—
812C4×C17—41no—
813C4×C17—41no—
814C4×C17—41no—
815C4×C17—41no—
816C4×C17—41no—
817C4×C17—41no—
818Dic17—22no—
819Dic17—41no—
820Dic17—41no—
821Dic17—41no—
822Dic17—41no—
823Dic17—41no—
824Dic17—41no—
825Dic17—41no—
826Dic17—41no—
827Dic17—41no—
828Dic17—41no—
829Dic17—41no—
830Dic17—41no—
831Dic17—41no—
832C22×#41—171no—
833C24×C4—171no—
834C2×#126C2×D1711yescharacteristic, complemented
835C2×#124—171no—
836C2×#123—171no—
837C2×#123—171no—
838C2×#123—171no—
839C2×#123—171no—
840C2×C22⋊Q8—171no—
841C2×#121—171no—
842C2×#121—171no—
843C2×#121—171no—
844C2×#121—171no—
845C2×#121C2×D1711yescharacteristic
846C2×#120—171no—
847C2×#120—171no—
848C2×#120—171no—
849C2×C4×D4—171no—
850C2×#117—171no—
851C22×C4⋊C4—171no—
852C22×C4⋊C4—171no—
853C22×C22⋊C4—171no—
854C22×C22⋊C4—171no—
855#401—171no—
856#400—171no—
857#400—171no—
858#400—171no—
859#400—171no—
860#400—171no—
861#400—171no—
862#400—171no—
863#400—171no—
864#399—171no—
865#398—171no—
866#398—171no—
867#398—171no—
868#397—171no—
869#397—171no—
870#397—171no—
871#397—171no—
872#397—171no—
873#397—171no—
874#397—171no—
875#397C2×D1711yescharacteristic, complemented
876#396—171no—
877#396—171no—
878#396—171no—
879#396—171no—
880#396—171no—
881#395—171no—
882#395—171no—
883#394—171no—
884#394—171no—
885#394—171no—
886#394—171no—
887#394—171no—
888#394—171no—
889#394—171no—
890#394—171no—
891#394C2×D1711yescharacteristic, complemented
892#394C2×D1711yescharacteristic, complemented
893#393—171no—
894#393—171no—
895#393—171no—
896#393—171no—
897#393—171no—
898#393—171no—
899#392—171no—
900#392C2×D1711yescharacteristic
901#392C2×D1711yescharacteristic
902#392C2×D1711yescharacteristic, complemented
903#391—171no—
904#391—171no—
905#391—171no—
906#390—171no—
907#390—171no—
908#390—171no—
909#390C2×D1711yescharacteristic
910#390C2×D1711yescharacteristic
911#390C2×D1711yescharacteristic, complemented
912#389—171no—
913#389—171no—
914#389—171no—
915#388—171no—
916#388—171no—
917#388—171no—
918#388—171no—
919#388—171no—
920#388—171no—
921#388—171no—
922#388—171no—
923#388C2×D1711yescharacteristic, complemented
924#387—171no—
925#387—171no—
926#387—171no—
927#387—171no—
928#387—171no—
929#387—171no—
930#387C2×D1711yescharacteristic, complemented
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#386—171no—
946#386—171no—
947#386—171no—
948#386—171no—
949#386—171no—
950#386—171no—
951#386—171no—
952#386—171no—
953#386C2×D1711yescharacteristic
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#385—171no—
965#385—171no—
966#385—171no—
967#385—171no—
968#385—171no—
969#385—171no—
970#385—171no—
971#385—171no—
972#385C2×D1711yescharacteristic
973#381—171no—
974#381—171no—
975#381—171no—
976#380—171no—
977#380—171no—
978#380—171no—
979#380—171no—
980#380—171no—
981#380—171no—
982#380—171no—
983#379—171no—
984C4×C22⋊C4—171no—
985C2×#95—171no—
986C2×#95—171no—
987C2×C17—42no—
988C2×C17—81no—
989C2×C17—81no—
990C2×C17—81no—
991C2×C17C2×#53811yescharacteristic
992C2×C17#349211yescharacteristic
993C2×C17#350611yescharacteristic
994C2×C17#353211yescharacteristic
995C2×C17#353411yescharacteristic
996C2×C17#353511yescharacteristic
997C2×C17#353611yescharacteristic
998D17—24no—
999D17—42no—
1000C25—171no—
1001C2×#41—344no—
1002C2×#41—682no—
1003C2×#41—682no—
1004C22×Q8—171no—
1005C22×Q8—171no—
1006C22×D4—171no—
1007C22×D4—171no—
1008C22×D4—171no—
1009C22×D4—171no—
1010C22×D4—171no—
1011C22×D4—171no—
1012C22×D4C22×D1711yescharacteristic
1013C22×D4C22×D1711yescharacteristic
1014C22×D4C22×D1711yescharacteristic
1015C22×D4C22×D1711yescharacteristic
1016C22×D4C22×D1711yescharacteristic
1017C22×D4C22×D1711yescharacteristic
1018C23×C4—171no—
1019C23×C4—171no—
1020C23×C4—171no—
1021C23×C4—171no—
1022C23×C4—171no—
1023C23×C4—171no—
1024C23×C4—171no—
1025C23×C4—171no—
1026C23×C4—171no—
1027C23×C4—171no—
1028C23×C4—171no—
1029C23×C4—171no—
1030C23×C4—682no—
1031C23×C4—682no—
1032C23×C4—682no—
1033C23×C4C22×D1711yescharacteristic
1034#126—42no—
1035#124—682no—
1036#123—344no—
1037#123—682no—
1038#123—682no—
1039#123—682no—
1040C22⋊Q8—682no—
1041#121—42no—
1042#121—682no—
1043#121—682no—
1044#121—682no—
1045#121—682no—
1046#120—682no—
1047#120—682no—
1048#120—682no—
1049C4×D4—682no—
1050#117—682no—
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—171no—
1074C2×C4⋊C4—682no—
1075C2×C4⋊C4—682no—
1076C2×C4⋊C4C22×D1711yescharacteristic
1077C2×C4⋊C4C22×D1711yescharacteristic
1078C2×C4⋊C4C22×D1711yescharacteristic
1079C2×C4⋊C4C22×D1711yescharacteristic
1080C2×C4⋊C4C22×D1711yescharacteristic
1081C2×C22⋊C4—171no—
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—344no—
1117C2×C22⋊C4—682no—
1118C2×C22⋊C4C22×D1711yescharacteristic
1119C2×C22⋊C4C22×D1711yescharacteristic
1120C2×C22⋊C4C22×D1711yescharacteristic
1121C2×C22⋊C4C22×D1711yescharacteristic
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×C42—171no—
1134C2×C42—171no—
1135C2×C42—171no—
1136C2×C42C22×D1711yescharacteristic
1137C2×C42C22×D1711yescharacteristic
1138#95—171no—
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#95—171no—
1176#95C22×D1711yescharacteristic
1177#95C22×D1711yescharacteristic
1178#95C22×D1711yescharacteristic
1179#95C22×D1711yescharacteristic
1180#95C22×D1711yescharacteristic
1181#95C22×D1711yescharacteristic
1182C17#3679111yescharacteristic, complemented, Sylow
1183C24—171no—
1184C24—171no—
1185C24—342no—
1186C24—342no—
1187C24—342no—
1188C24—342no—
1189C24—342no—
1190C24—681no—
1191C24—681no—
1192C24C23×D1711yescharacteristic
1193C24C23×D1711yescharacteristic
1194C24C23×D1711yescharacteristic
1195C24C23×D1711yescharacteristic
1196#41—6816no—
1197C2×Q8—342no—
1198C2×Q8—681no—
1199C2×Q8—681no—
1200C2×Q8—681no—
1201C2×Q8—681no—
1202C2×Q8—681no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—22no—
1207C2×D4—22no—
1208C2×D4—41no—
1209C2×D4—41no—
1210C2×D4—41no—
1211C2×D4—41no—
1212C2×D4—41no—
1213C2×D4—41no—
1214C2×D4—41no—
1215C2×D4—41no—
1216C2×D4—41no—
1217C2×D4—41no—
1218C2×D4—41no—
1219C2×D4—41no—
1220C2×D4—41no—
1221C2×D4—342no—
1222C2×D4—342no—
1223C2×D4—342no—
1224C2×D4—342no—
1225C2×D4—342no—
1226C2×D4—342no—
1227C2×D4—342no—
1228C2×D4—342no—
1229C2×D4—342no—
1230C2×D4—342no—
1231C2×D4—342no—
1232C2×D4—342no—
1233C2×D4—681no—
1234C2×D4—681no—
1235C2×D4—681no—
1236C2×D4—681no—
1237C2×D4—681no—
1238C2×D4—681no—
1239C22×C4—22no—
1240C22×C4—41no—
1241C22×C4—41no—
1242C22×C4—171no—
1243C22×C4—174no—
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—171no—
1255C22×C4—171no—
1256C22×C4—171no—
1257C22×C4—342no—
1258C22×C4—342no—
1259C22×C4—342no—
1260C22×C4—342no—
1261C22×C4—342no—
1262C22×C4—342no—
1263C22×C4—342no—
1264C22×C4—342no—
1265C22×C4—342no—
1266C22×C4—342no—
1267C22×C4—342no—
1268C22×C4—342no—
1269C22×C4—342no—
1270C22×C4—681no—
1271C22×C4—681no—
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—6816no—
1283C22×C4—681no—
1284C22×C4—681no—
1285C22×C4—681no—
1286C22×C4—681no—
1287C22×C4—681no—
1288C22×C4—681no—
1289C22×C4—681no—
1290C22×C4—681no—
1291C22×C4—681no—
1292C22×C4—681no—
1293C22×C4C23×D1711yescharacteristic
1294C22×C4C23×D1711yescharacteristic
1295C22×C4C23×D1711yescharacteristic
1296C22×C4C23×D1711yescharacteristic
1297C22×C4C23×D1711yescharacteristic
1298C22×C4C23×D1711yescharacteristic
1299C22×C4C23×D1711yescharacteristic
1300C22×C4C23×D1711yescharacteristic
1301C22×C4C23×D1711yescharacteristic
1302C22×C4C23×D1711yescharacteristic
1303C22×C4C23×D1711yescharacteristic
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—41no—
1307C4⋊C4—41no—
1308C4⋊C4—41no—
1309C4⋊C4—342no—
1310C4⋊C4—342no—
1311C4⋊C4—342no—
1312C4⋊C4—342no—
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—
1328C4⋊C4—681no—
1329C4⋊C4—681no—
1330C4⋊C4—681no—
1331C4⋊C4—681no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—41no—
1343C22⋊C4—41no—
1344C22⋊C4—41no—
1345C22⋊C4—41no—
1346C22⋊C4—41no—
1347C22⋊C4—342no—
1348C22⋊C4—342no—
1349C22⋊C4—342no—
1350C22⋊C4—342no—
1351C22⋊C4—342no—
1352C22⋊C4—342no—
1353C22⋊C4—342no—
1354C22⋊C4—342no—
1355C22⋊C4—342no—
1356C22⋊C4—342no—
1357C22⋊C4—342no—
1358C22⋊C4—342no—
1359C22⋊C4—342no—
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—
1378C22⋊C4—681no—
1379C22⋊C4—681no—
1380C22⋊C4—681no—
1381C22⋊C4—681no—
1382C42—41no—
1383C42—41no—
1384C42—681no—
1385C42—681no—
1386C42—681no—
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—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—172no—
1415C23—172no—
1416C23—172no—
1417C23—172no—
1418C23—348no—
1419C23—341no—
1420C23—341no—
1421C23—341no—
1422C23—341no—
1423C23—341no—
1424C23—341no—
1425C23—341no—
1426C23—341no—
1427C23—341no—
1428C23—341no—
1429C23—684no—
1430C23—684no—
1431C23—684no—
1432C23—684no—
1433C23—684no—
1434C23—684no—
1435C23#1058769712yes—
1436C23C24×D1711yescharacteristic
1437Q8—684no—
1438Q8—1362no—
1439D4—44no—
1440D4—82no—
1441D4—82no—
1442D4—82no—
1443D4—82no—
1444D4—82no—
1445D4—684no—
1446D4—684no—
1447D4—684no—
1448D4—1362no—
1449D4—1362no—
1450D4—1362no—
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—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—44no—
1483C2×C4—172no—
1484C2×C4—348no—
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—341no—
1522C2×C4—341no—
1523C2×C4—341no—
1524C2×C4—341no—
1525C2×C4—341no—
1526C2×C4—684no—
1527C2×C4—684no—
1528C2×C4—684no—
1529C2×C4—684no—
1530C2×C4—684no—
1531C2×C4—684no—
1532C2×C4—684no—
1533C2×C4—684no—
1534C2×C4—1362no—
1535C2×C4—1362no—
1536C2×C4—1362no—
1537C2×C4#1058769112yes—
1538C2×C4#41×D1712yes—
1539C22—22no—
1540C22—22no—
1541C22—22no—
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—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—174no—
1568C22—342no—
1569C22—342no—
1570C22—342no—
1571C22—342no—
1572C22—342no—
1573C22—342no—
1574C22—342no—
1575C22—342no—
1576C22—342no—
1577C22—6816no—
1578C22—681no—
1579C22—681no—
1580C22—681no—
1581C22—681no—
1582C22C2×#41×D1711yescharacteristic
1583C22H(5,𝔽2)×D1711yescharacteristic
1584C22H(5,𝔽2)×D1711yescharacteristic
1585C22H(5,𝔽2)×D1711yescharacteristic
1586C22C2×#1058769111yescharacteristic
1587C22C2×#1058769711yescharacteristic
1588C22#1176364411yescharacteristic
1589C4—22no—
1590C4—22no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—342no—
1601C4—681no—
1602C4—681no—
1603C4—681no—
1604C4—681no—
1605C4—681no—
1606C4—681no—
1607C4—681no—
1608C4—681no—
1609C4—681no—
1610C4—681no—
1611C4—681no—
1612C4—681no—
1613C4—681no—
1614C2—42no—
1615C2—81no—
1616C2—81no—
1617C2—81no—
1618C2—344no—
1619C2—682no—
1620C2D17×#53811yescharacteristic
1621C2#1454248811yescharacteristic
1622C2#1454262811yescharacteristic
1623C2#1454293811yescharacteristic
1624C2#1454296511yescharacteristic
1625C2#1454298211yescharacteristic
1626C2#1454300411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D17
commutator, socle, cosocleC23×C17C25
FittingC17×#2714C2
hypercenter#2714D17
hypocenterC17#36791
LCSG ▷ C23×C17 ▷ C17
UCSC1 ◁ C23 ◁ #2714

Complements

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

NH ≅ G/Ntype
1. #14537075C2semidirect
2. #14537063C2semidirect
3. #14536730C2semidirect
4. #14536643C2semidirect
5. #14536530C2semidirect
6. #14536482C2semidirect
7. #14536433C2semidirect
8. #14536395C2semidirect
9. #14536034C2semidirect
10. #14536015C2semidirect
11. #14535956C2semidirect
12. #14535523C2semidirect
13. #14535496C2semidirect
14. #14535495C2semidirect
15. #14535313C2semidirect
16. #14535189C2semidirect
17. #14535151C2semidirect
18. #14534736C2semidirect
19. #14534715C2semidirect
20. #14533041C2semidirect
21. #14532916C2semidirect
22. #14532512C2semidirect
23. #14532459C2semidirect
24. #14532387C2semidirect
25. #14532323C2semidirect
26. #14532166C2semidirect
27. #14532098C2semidirect
28. #14531454C2semidirect
29. #14531374C2semidirect
30. D17×#385C2semidirect
31. C17×#2714C2semidirect
38. C2×#10587621C22semidirect
53. C17⋊#401C22semidirect
54. #11762751C22semidirect
55. #11762750C22semidirect
56. #11762750C22semidirect
57. #11762749C22semidirect
58. #11762748C22semidirect
59. #11762748C22semidirect
60. #11762748C22semidirect
61. #11762747C22semidirect
62. #11762745C22semidirect
63. #11762742C22semidirect
64. #11762742C22semidirect
65. #11762740C22semidirect
66. #11762737C22semidirect
67. #11762737C22semidirect
68. #11762737C22semidirect
69. #11762737C22semidirect
71. #11762734C22semidirect
72. #11762734C22semidirect
75. #11762732C22semidirect
76. #11762732C22semidirect
78. #11762730C22semidirect
79. #11762730C22semidirect
86. #11762723C22semidirect
87. #11762723C22semidirect
91. #11762721C22semidirect
92. #11762721C22semidirect
93. #11762721C22semidirect
95. #11762715C22semidirect
96. #11762715C22semidirect
97. #11762714C22semidirect
99. #11762712C22semidirect
101. #11762707C22semidirect
102. #11762706C22semidirect
103. #11762704C22semidirect
105. #11762703C22semidirect
106. #11762703C22semidirect
107. #11762702C22semidirect
112. #11762696C22semidirect
113. #11762696C22semidirect
114. #11762695C22semidirect
115. #11762693C22semidirect
116. #11762692C22semidirect
117. #11762692C22semidirect
124. #11762689C22semidirect
125. #11762689C22semidirect
142. #11762684C22semidirect
143. #11762684C22semidirect
144. #11762684C22semidirect
145. #11762684C22semidirect
154. #11762681C22semidirect
162. #11762667C22semidirect
163. #11762667C22semidirect
164. #11762667C22semidirect
165. #11762667C22semidirect
172. C2×C17×#126C22semidirect
174. C17×#397C22semidirect
175. C17×#394C22semidirect
176. C17×#394C22semidirect
179. C17×#392C22semidirect
182. C17×#390C22semidirect
183. C17×#388C22semidirect
184. C17×#387C22semidirect
737. #2714D17semidirect
834. C2×#126C2×D17semidirect
875. #397C2×D17semidirect
891. #394C2×D17semidirect
892. #394C2×D17semidirect
902. #392C2×D17semidirect
911. #390C2×D17semidirect
923. #388C2×D17semidirect
930. #387C2×D17semidirect
1182. C17#36791semidirect

Maximal subgroups

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

subgroupindex
#145370752
#145370632
#145367302
#145366432
#145365302
#145364822
#145364332
#145363952
#145360342
#145360152
#145359562
#145355232
#145354962
#145354952
#145353132
#145351892
#145351512
#145347362
#145347152
#145330412
#145329162
#145325122
#145324592
#145323872
#145323232
#145321662
#145320982
#145314542
#145313742
D17×#3852
C17×#27142
#3679117