Finite Group Databasebeta

← #17242196

Subgroups — #17242196

Order 4352.

2210 conjugacy classes of subgroups.

The subgroup lattice has 1686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#14537072C211yesmaximal, characteristic, complemented
2#14537065C211yesmaximal, characteristic, complemented
3#14536634C211yesmaximal, characteristic, complemented
4#14536449C211yesmaximal, characteristic, complemented
5#14536418C211yesmaximal, characteristic, complemented
6#14536409C211yesmaximal, characteristic, complemented
7#14536107C211yesmaximal, characteristic, complemented
8#14536058C211yesmaximal, characteristic, complemented
9#14536011C211yesmaximal, characteristic, complemented
10#14535906C211yesmaximal, characteristic, complemented
11#14535782C211yesmaximal, characteristic, complemented
12#14535582C211yesmaximal, characteristic, complemented
13#14535433C211yesmaximal, characteristic, complemented
14#14535407C211yesmaximal, characteristic, complemented
15#14535335C211yesmaximal, characteristic, complemented
16#14535224C211yesmaximal, characteristic, complemented
17#14535088C211yesmaximal, characteristic, complemented
18#14534497C211yesmaximal, characteristic, complemented
19#14534495C211yesmaximal, characteristic, complemented
20#14533164C211yesmaximal, characteristic, complemented
21#14533111C211yesmaximal, characteristic, complemented
22#14533023C211yesmaximal, characteristic, complemented
23#14532911C211yesmaximal, characteristic, complemented
24#14532340C211yesmaximal, characteristic, complemented
25#14532319C211yesmaximal, characteristic, complemented
26#14532260C211yesmaximal, characteristic, complemented
27#14532251C211yesmaximal, characteristic, complemented
28#14531446C211yesmaximal, characteristic, complemented
29#14531440C211yesmaximal, characteristic, complemented
30D17×#386C211yesmaximal, characteristic, complemented
31C17×#2778C211yesmaximal, characteristic, complemented
32C22×D4×D17C2211yescharacteristic
33C23×C4×D17C2211yescharacteristic
34C2×#10587565C2211yescharacteristic, complemented
35C2×#10587571C2211yescharacteristic, complemented
36C2×#10587580C2211yescharacteristic
37C2×#10587569C2211yescharacteristic
38C2×#10587569C2211yescharacteristic, complemented
39C2×#10587583C2211yescharacteristic
40C2×#10587583C2211yescharacteristic, complemented
41C2×#10587610C2211yescharacteristic, complemented
42C2×#10587616C2211yescharacteristic, complemented
43C2×#10587570C2211yescharacteristic
44C2×#10587570C2211yescharacteristic, complemented
45C2×#10587625C2211yescharacteristic, complemented
46C2×#10587568C2211yescharacteristic
47C2×#10587568C2211yescharacteristic
48C2×#10587623C2211yescharacteristic
49C2×#10587623C2211yescharacteristic
50C2×C4×D68C2211yescharacteristic
51C2×C4×C22⋊D17C2211yescharacteristic
52C2×C22⋊C4×D17C2211yescharacteristic
53C2×C22⋊C4×D17C2211yescharacteristic
54C2×C22⋊C4×D17C2211yescharacteristic
55#11762751C2211yescharacteristic, complemented
56#11762751C2211yescharacteristic, complemented
57#11762750C2211yescharacteristic, complemented
58#11762750C2211yescharacteristic, complemented
59#11762750C2211yescharacteristic, complemented
60#11762746C2211yescharacteristic, complemented
61#11762742C2211yescharacteristic, complemented
62#11762742C2211yescharacteristic, complemented
63#11762738C2211yescharacteristic, complemented
64#11762737C2211yescharacteristic, complemented
65#11762737C2211yescharacteristic, complemented
66#11762736C2211yescharacteristic, complemented
67#11762736C2211yescharacteristic, complemented
68#11762736C2211yescharacteristic, complemented
69#11762734C2211yescharacteristic, complemented
70#11762734C2211yescharacteristic, complemented
71#11762732C2211yescharacteristic, complemented
72#11762732C2211yescharacteristic, complemented
73#11762731C2211yescharacteristic, complemented
74#11762727C2211yescharacteristic
75#11762727C2211yescharacteristic, complemented
76#11762726C2211yescharacteristic
77#11762726C2211yescharacteristic, complemented
78#11762725C2211yescharacteristic
79#11762725C2211yescharacteristic
80#11762725C2211yescharacteristic, complemented
81#11762725C2211yescharacteristic, complemented
82#11762725C2211yescharacteristic, complemented
83#11762724C2211yescharacteristic
84#11762724C2211yescharacteristic
85#11762724C2211yescharacteristic, complemented
86#11762723C2211yescharacteristic
87#11762722C2211yescharacteristic, complemented
88#11762721C2211yescharacteristic, complemented
89#11762719C2211yescharacteristic
90#11762718C2211yescharacteristic
91#11762718C2211yescharacteristic
92#11762718C2211yescharacteristic
93#11762717C2211yescharacteristic
94#11762717C2211yescharacteristic
95#11762717C2211yescharacteristic
96#11762717C2211yescharacteristic, complemented
97#11762713C2211yescharacteristic, complemented
98#11762712C2211yescharacteristic, complemented
99#11762712C2211yescharacteristic, complemented
100#11762710C2211yescharacteristic, complemented
101#11762709C2211yescharacteristic, complemented
102#11762709C2211yescharacteristic, complemented
103#11762709C2211yescharacteristic, complemented
104#11762707C2211yescharacteristic, complemented
105#11762702C2211yescharacteristic, complemented
106#11762702C2211yescharacteristic, complemented
107#11762701C2211yescharacteristic, complemented
108#11762701C2211yescharacteristic, complemented
109#11762701C2211yescharacteristic, complemented
110#11762700C2211yescharacteristic, complemented
111#11762700C2211yescharacteristic, complemented
112#11762699C2211yescharacteristic, complemented
113#11762699C2211yescharacteristic, complemented
114#11762698C2211yescharacteristic, complemented
115#11762698C2211yescharacteristic, complemented
116#11762698C2211yescharacteristic, complemented
117#11762698C2211yescharacteristic, complemented
118#11762697C2211yescharacteristic, complemented
119#11762697C2211yescharacteristic, complemented
120#11762697C2211yescharacteristic, complemented
121#11762696C2211yescharacteristic, complemented
122#11762695C2211yescharacteristic, complemented
123#11762694C2211yescharacteristic, complemented
124#11762692C2211yescharacteristic, complemented
125#11762692C2211yescharacteristic, complemented
126#11762689C2211yescharacteristic
127#11762688C2211yescharacteristic
128#11762688C2211yescharacteristic, complemented
129#11762688C2211yescharacteristic, complemented
130#11762687C2211yescharacteristic
131#11762687C2211yescharacteristic
132#11762687C2211yescharacteristic
133#11762687C2211yescharacteristic
134#11762687C2211yescharacteristic, complemented
135#11762687C2211yescharacteristic, complemented
136#11762687C2211yescharacteristic, complemented
137#11762686C2211yescharacteristic
138#11762685C2211yescharacteristic
139#11762685C2211yescharacteristic
140#11762685C2211yescharacteristic
141#11762685C2211yescharacteristic
142#11762685C2211yescharacteristic, complemented
143#11762685C2211yescharacteristic, complemented
144#11762685C2211yescharacteristic, complemented
145#11762684C2211yescharacteristic, complemented
146#11762684C2211yescharacteristic, complemented
147#11762683C2211yescharacteristic
148#11762683C2211yescharacteristic
149#11762683C2211yescharacteristic
150#11762683C2211yescharacteristic, complemented
151#11762683C2211yescharacteristic, complemented
152#11762680C2211yescharacteristic
153#11762676C2211yescharacteristic, complemented
154#11762674C2211yescharacteristic, complemented
155#11762672C2211yescharacteristic, complemented
156#11762671C2211yescharacteristic
157#11762671C2211yescharacteristic
158#11762668C2211yescharacteristic
159#11762668C2211yescharacteristic, complemented
160#11762668C2211yescharacteristic, complemented
161#11762667C2211yescharacteristic, complemented
162#11762666C2211yescharacteristic
163#11762666C2211yescharacteristic, complemented
164#11762664C2211yescharacteristic
165#11762664C2211yescharacteristic
166#11762664C2211yescharacteristic
167#11762664C2211yescharacteristic
168#11762656C2211yescharacteristic
169#11762656C2211yescharacteristic
170#95×D17C2211yescharacteristic
171#95×D17C2211yescharacteristic
172C17×#401C2211yescharacteristic, complemented
173C17×#400C2211yescharacteristic, complemented
174C17×#397C2211yescharacteristic, complemented
175C17×#394C2211yescharacteristic
176C17×#394C2211yescharacteristic, complemented
177C17×#392C2211yescharacteristic
178C17×#388C2211yescharacteristic, complemented
179C17×#388C2211yescharacteristic, complemented
180C17×#388C2211yescharacteristic, complemented
181C17×#386C2211yescharacteristic
182C17×#386C2211yescharacteristic, complemented
183C17×#386C2211yescharacteristic, complemented
184C17×#386C2211yescharacteristic, complemented
185C17×#385C2211yescharacteristic, complemented
186C17×#380C2211yescharacteristic, complemented
187C24×D17C2311yescharacteristic
188C24×D17C2311yescharacteristic
189C22×D4×C17C2311yescharacteristic
190C22×D4×C17C2311yescharacteristic
191C22×D4×C17C2311yescharacteristic
192C23×C4×C17C2311yescharacteristic
193C23×C4×C17C2311yescharacteristic
194C22×C22⋊D17C2311yescharacteristic
195C22×C22⋊D17C2311yescharacteristic
196C22×C22⋊D17C2311yescharacteristic
197C22×C22⋊D17C2311yescharacteristic
198C22×C22⋊D17C2311yescharacteristic
199C22×C22⋊D17C2311yescharacteristic
200C22×C22⋊D17C2311yescharacteristic
201C22×C22⋊D17C2311yescharacteristic
202C23×Dic17C2311yescharacteristic
203C2×D4×D17—24no—
204C2×D4×D17—42no—
205C2×D4×D17—42no—
206C22×D68C2311yescharacteristic
207C22×D68C2311yescharacteristic
208C22×D68C2311yescharacteristic
209C22×D68C2311yescharacteristic
210C22×C4×D17—42no—
211C22×C4×D17—42no—
212C22×C4×D17—42no—
213C22×C4×D17C2311yescharacteristic
214C22×C4×D17C2311yescharacteristic
215C22×C4×D17C2311yescharacteristic
216C22×C4×D17C2311yescharacteristic
217C22×C4×D17C2311yescharacteristic
218C22×C4×D17C2311yescharacteristic
219C22×C4×D17C2311yescharacteristic
220C22×C4×D17C2311yescharacteristic
221C22×Dic34C2311yescharacteristic
222C2×C4⋊C4×C17C2311yescharacteristic
223C2×C4⋊C4×C17C2311yescharacteristic
224C2×C4⋊C4×C17C2311yescharacteristic
225C2×C4⋊C4×C17C2311yescharacteristic
226C2×C22⋊C4×C17C2311yescharacteristic
227C2×C22⋊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×C42×C17C2311yescharacteristic
240C2×C22⋊Dic17C2311yescharacteristic
241C2×C22⋊Dic17C2311yescharacteristic
242C2×C22⋊Dic17C2311yescharacteristic
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
253#10587625—42no—
254#10587623—24no—
255#10587623—42no—
256#10587616—42no—
257C4×C22⋊D17—42no—
258C2×#63227C2311yescharacteristic
259C2×#63227C2311yescharacteristic
260C2×#63227C2311yescharacteristic
261C2×#63227C2311yescharacteristic
262C2×#63227C2311yescharacteristic
263C2×#63227C2311yescharacteristic
264C2×#63227C2311yescharacteristic
265C2×#63227C2311yescharacteristic
266C2×#63227C2311yescharacteristic
267C2×#63227C2311yescharacteristic
268C2×#63227C2311yescharacteristic
269C2×#63227C2311yescharacteristic
270C2×#63227C2311yescharacteristic
271C2×#63227C2311yescharacteristic
272C2×#63227C2311yescharacteristic
273C2×#63227C2311yescharacteristic
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×#63227C2311yescharacteristic
289C2×#63227C2311yescharacteristic
290C2×C4⋊Dic17C2311yescharacteristic
291C2×C4⋊Dic17C2311yescharacteristic
292C2×C4⋊Dic17C2311yescharacteristic
293C2×C4⋊Dic17C2311yescharacteristic
294C2×C4⋊Dic17C2311yescharacteristic
295C2×C4⋊Dic17C2311yescharacteristic
296C2×C4⋊Dic17C2311yescharacteristic
297C2×C4⋊Dic17C2311yescharacteristic
298#10587610—42no—
299C2×#63225C2311yescharacteristic
300C2×#63225C2311yescharacteristic
301C2×#63225C2311yescharacteristic
302C2×#63225C2311yescharacteristic
303C2×#63225C2311yescharacteristic
304C2×#63225C2311yescharacteristic
305C2×#63225C2311yescharacteristic
306C2×#63225C2311yescharacteristic
307C2×#63225C2311yescharacteristic
308C2×#63225C2311yescharacteristic
309C2×C4×Dic17C2311yescharacteristic
310C2×C4×Dic17C2311yescharacteristic
311C2×C4×Dic17C2311yescharacteristic
312C2×C4×Dic17C2311yescharacteristic
313C2×C4×Dic17C2311yescharacteristic
314#10587583—42no—
315#10587583—42no—
316#10587580—42no—
317#10587571—42no—
318#10587570—42no—
319#10587570—42no—
320#10587569—42no—
321#10587569—42no—
322#10587568—24no—
323#10587568—42no—
324C22⋊C4×D17—42no—
325C22⋊C4×D17—42no—
326C22⋊C4×D17—42no—
327#10587565—42no—
328C4×D68—42no—
329C17×#95C2311yescharacteristic
330C17×#95C2311yescharacteristic
331C17×#95C2311yescharacteristic
332C17×#95C2311yescharacteristic
333C17×#95C2311yescharacteristic
334C17×#95C2311yescharacteristic
335C17×#95C2311yescharacteristic
336C17×#95C2311yescharacteristic
337C17×#95C2311yescharacteristic
338C17×#95C2311yescharacteristic
339C17×#95C2311yescharacteristic
340C17×#95C2311yescharacteristic
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
372C23×D17—22no—
373C23×D17—22no—
374C23×D17—22no—
375C23×D17—22no—
376C23×D17—22no—
377C23×D17—41no—
378C23×D17—41no—
379C23×D17—41no—
380C23×D17—41no—
381C23×D17—41no—
382C23×D17—41no—
383C23×D17—41no—
384C23×D17—41no—
385C23×D17#4114yes—
386C23×D17C2411yescharacteristic
387C23×D17C2411yescharacteristic
388C23×D17C2411yescharacteristic
389C23×D17C2411yescharacteristic
390C2×D4×C17—22no—
391C2×D4×C17—22no—
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—
399C22×C4×C17—22no—
400C22×C4×C17—41no—
401C22×C4×C17—41no—
402C22×C4×C17—41no—
403C22×C4×C17—41no—
404C22×C4×C17—41no—
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
414C22×C4×C17C2411yescharacteristic
415C22×C4×C17C2411yescharacteristic
416C22×C4×C17C2411yescharacteristic
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—41no—
426C2×C22⋊D17—41no—
427C2×C22⋊D17—41no—
428C2×C22⋊D17—41no—
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—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
456D4×D17—416no—
457C2×D68—22no—
458C2×D68—22no—
459C2×D68—22no—
460C2×D68—22no—
461C2×D68—22no—
462C2×D68—41no—
463C2×D68—41no—
464C2×D68—41no—
465C2×D68—41no—
466C2×D68—41no—
467C2×D68—41no—
468C2×D68—41no—
469C2×C4×D17—22no—
470C2×C4×D17—22no—
471C2×C4×D17—22no—
472C2×C4×D17—22no—
473C2×C4×D17—22no—
474C2×C4×D17—22no—
475C2×C4×D17—22no—
476C2×C4×D17—22no—
477C2×C4×D17—22no—
478C2×C4×D17—22no—
479C2×C4×D17—22no—
480C2×C4×D17—41no—
481C2×C4×D17—41no—
482C2×C4×D17—41no—
483C2×C4×D17—41no—
484C2×C4×D17—41no—
485C2×C4×D17—41no—
486C2×C4×D17—416no—
487C2×C4×D17—41no—
488C2×C4×D17—41no—
489C2×C4×D17—41no—
490C2×C4×D17—41no—
491C2×C4×D17—41no—
492C2×C4×D17—41no—
493C2×C4×D17—41no—
494C2×Dic34—22no—
495C2×Dic34—41no—
496C2×Dic34—41no—
497C4⋊C4×C17—41no—
498C4⋊C4×C17—41no—
499C4⋊C4×C17—41no—
500C4⋊C4×C17—41no—
501C22⋊C4×C17—22no—
502C22⋊C4×C17—22no—
503C22⋊C4×C17—22no—
504C22⋊C4×C17—41no—
505C22⋊C4×C17—41no—
506C22⋊C4×C17—41no—
507C22⋊C4×C17—41no—
508C22⋊C4×C17—41no—
509C22⋊C4×C17—41no—
510C22⋊C4×C17—41no—
511C22⋊C4×C17—41no—
512C22⋊C4×C17—41no—
513C22⋊C4×C17—41no—
514C42×C17—41no—
515C22⋊Dic17—22no—
516C22⋊Dic17—22no—
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—
528#63227—22no—
529#63227—22no—
530#63227—22no—
531#63227—22no—
532#63227—22no—
533#63227—22no—
534#63227—22no—
535#63227—22no—
536#63227—22no—
537#63227—22no—
538#63227—22no—
539#63227—41no—
540#63227—41no—
541#63227—41no—
542#63227—41no—
543#63227—41no—
544#63227—41no—
545#63227—41no—
546#63227—41no—
547#63227—41no—
548#63227—41no—
549#63227—41no—
550#63227—41no—
551#63227—41no—
552#63227—41no—
553#63227—41no—
554#63227—41no—
555#63227—41no—
556#63227—41no—
557#63227—41no—
558#63227—41no—
559#63227—41no—
560C4⋊Dic17—22no—
561C4⋊Dic17—22no—
562C4⋊Dic17—22no—
563C4⋊Dic17—41no—
564C4⋊Dic17—41no—
565C4⋊Dic17—41no—
566C4⋊Dic17—41no—
567C4⋊Dic17—41no—
568#63225—22no—
569#63225—41no—
570#63225—41no—
571#63225—41no—
572#63225—41no—
573#63225—41no—
574#63225—41no—
575#63225—41no—
576#63225—41no—
577#63225—41no—
578C4×Dic17—41no—
579C4×Dic17—41no—
580C4×Dic17—41no—
581C4×Dic17—41no—
582C4×Dic17—41no—
583#36758—171nomaximal, Sylow
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×C17—21no—
602C23×C17—21no—
603C23×C17—21no—
604C23×C17C2×#4112yes—
605C23×C17C2511yescharacteristic
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—21no—
616C22×D17—28no—
617C22×D17—21no—
618C22×D17—21no—
619C22×D17—21no—
620C22×D17—21no—
621C22×D17—21no—
622C22×D17—21no—
623C22×D17—21no—
624C22×D17—21no—
625C22×D17—21no—
626C22×D17—21no—
627C22×D17—21no—
628C22×D17—21no—
629C22×D17—21no—
630C22×D17—21no—
631C22×D17—44no—
632C22×D17—44no—
633C22×D17—44no—
634C22×D17—44no—
635C22×D17—44no—
636C22×D17—44no—
637C22×D17—44no—
638C22×D17—44no—
639C22×D17—44no—
640C22×D17—82no—
641C22×D17—82no—
642C22×D17—82no—
643C22×D17—82no—
644C22×D17C2×#4112yes—
645C22×D17C2×#4112yes—
646C22×D17H(5,𝔽2)12yes—
647C22×D17H(5,𝔽2)12yes—
648D4×C17—44no—
649D4×C17—82no—
650D4×C17—82no—
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—21no—
662C2×C4×C17—21no—
663C2×C4×C17—21no—
664C2×C4×C17—21no—
665C2×C4×C17—21no—
666C2×C4×C17—21no—
667C2×C4×C17—21no—
668C2×C4×C17—21no—
669C2×C4×C17—21no—
670C2×C4×C17—21no—
671C2×C4×C17—21no—
672C2×C4×C17—21no—
673C2×C4×C17—21no—
674C2×C4×C17—21no—
675C2×C4×C17—21no—
676C2×C4×C17—21no—
677C2×C4×C17—21no—
678C2×C4×C17—21no—
679C2×C4×C17—21no—
680C2×C4×C17—21no—
681C2×C4×C17—21no—
682C2×C4×C17—21no—
683C2×C4×C17—21no—
684C2×C4×C17—21no—
685C2×C4×C17—21no—
686C2×C4×C17—44no—
687C2×C4×C17—82no—
688C2×C4×C17H(5,𝔽2)12yes—
689C22⋊D17—44no—
690C22⋊D17—44no—
691C22⋊D17—44no—
692C22⋊D17—82no—
693C22⋊D17—82no—
694C22⋊D17—82no—
695C22⋊D17—82no—
696C22⋊D17—82no—
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—21no—
715C2×Dic17—21no—
716C2×Dic17—21no—
717C2×Dic17—21no—
718C2×Dic17—21no—
719C2×Dic17—21no—
720C2×Dic17—21no—
721C2×Dic17—21no—
722C2×Dic17—21no—
723C2×Dic17—21no—
724C2×Dic17—21no—
725C2×Dic17—21no—
726C2×Dic17—21no—
727C2×Dic17—21no—
728C2×Dic17—21no—
729C2×Dic17—21no—
730C2×Dic17—21no—
731C2×Dic17—21no—
732C2×Dic17—44no—
733C2×Dic17H(5,𝔽2)12yes—
734D68—44no—
735D68—44no—
736D68—82no—
737D68—82no—
738C4×D17—44no—
739C4×D17—44no—
740C4×D17—44no—
741C4×D17—44no—
742C4×D17—44no—
743C4×D17—82no—
744C4×D17—82no—
745C4×D17—82no—
746Dic34—82no—
747#2848—171no—
748#2847—171no—
749#2797—171no—
750#2781—171no—
751#2779—171no—
752#2778—171no—
753#2778D1711yescharacteristic, complemented
754#2756—171no—
755#2753—171no—
756#2749—171no—
757#2741—171no—
758#2730—171no—
759#2714—171no—
760#2703—171no—
761#2702—171no—
762#2696—171no—
763#2688—171no—
764#2676—171no—
765#2613—171no—
766#2613—171no—
767#2493—171no—
768#2488—171no—
769#2480—171no—
770#2472—171no—
771#2425—171no—
772#2424—171no—
773#2419—171no—
774#2418—171no—
775#2321—171no—
776#2321—171no—
777C2×#386—171no—
778C22×C17—22no—
779C22×C17—22no—
780C22×C17—22no—
781C22×C17—41no—
782C22×C17—41no—
783C22×C17—41no—
784C22×C17—41no—
785C22×C17—41no—
786C22×C17—41no—
787C22×C17—41no—
788C22×C17—41no—
789C22×C17—41no—
790C22×C17—41no—
791C22×C17—41no—
792C22×C17—41no—
793C22×C17—41no—
794C22×C17—41no—
795C22×C17—41no—
796C22×C17—41no—
797C22×C17—41no—
798C22×C17—41no—
799C22×C17C22×#4111yescharacteristic
800C22×C17C2×H(5,𝔽2)11yescharacteristic
801C22×C17C2×H(5,𝔽2)11yescharacteristic
802C22×C17C2×H(5,𝔽2)11yescharacteristic
803C22×C17C2×H(5,𝔽2)11yescharacteristic
804C22×C17#58511yescharacteristic
805C22×C17#58511yescharacteristic
806C2×D17—22no—
807C2×D17—22no—
808C2×D17—22no—
809C2×D17—22no—
810C2×D17—22no—
811C2×D17—22no—
812C2×D17—22no—
813C2×D17—22no—
814C2×D17—22no—
815C2×D17—416no—
816C2×D17—41no—
817C2×D17—41no—
818C2×D17—41no—
819C2×D17—41no—
820C2×D17—41no—
821C2×D17—41no—
822C2×D17—41no—
823C2×D17—41no—
824C2×D17—41no—
825C2×D17—41no—
826C2×D17—41no—
827C2×D17—41no—
828C2×D17—41no—
829C2×D17—41no—
830C2×D17—41no—
831C2×D17—41no—
832C2×D17—41no—
833C2×D17—41no—
834C2×D17—88no—
835C2×D17#53814yes—
836C4×C17—22no—
837C4×C17—41no—
838C4×C17—41no—
839C4×C17—41no—
840C4×C17—41no—
841C4×C17—41no—
842C4×C17—41no—
843C4×C17—41no—
844C4×C17—41no—
845C4×C17—41no—
846C4×C17—41no—
847C4×C17—41no—
848Dic17—22no—
849Dic17—41no—
850Dic17—41no—
851Dic17—41no—
852Dic17—41no—
853Dic17—41no—
854Dic17—41no—
855Dic17—41no—
856Dic17—41no—
857Dic17—41no—
858Dic17—41no—
859Dic17—41no—
860C23×D4—171no—
861C24×C4—171no—
862C2×#126—171no—
863C2×#124—171no—
864C2×#123—171no—
865C2×#123—171no—
866C2×#123—171no—
867C2×C22⋊Q8—171no—
868C2×C22⋊Q8—171no—
869C2×C22⋊Q8—171no—
870C2×#121—171no—
871C2×#121—171no—
872C2×#121—171no—
873C2×#121—171no—
874C2×#120—171no—
875C2×#120—171no—
876C2×#120—171no—
877C2×#120—171no—
878C2×C4×D4—171no—
879C2×C4×D4—171no—
880C22×C22⋊C4—171no—
881C22×C22⋊C4—171no—
882C22×C22⋊C4—171no—
883#401C2×D1711yescharacteristic, complemented
884#400—171no—
885#400—171no—
886#400—171no—
887#400—171no—
888#400—171no—
889#400C2×D1711yescharacteristic, complemented
890#399—171no—
891#398—171no—
892#398—171no—
893#397—171no—
894#397—171no—
895#397—171no—
896#397—171no—
897#397—171no—
898#397—171no—
899#397—171no—
900#397—171no—
901#397C2×D1711yescharacteristic, complemented
902#396—171no—
903#396—171no—
904#396—171no—
905#394—171no—
906#394—171no—
907#394—171no—
908#394—171no—
909#394—171no—
910#394—171no—
911#394—171no—
912#394—171no—
913#394—171no—
914#394—171no—
915#394—171no—
916#394—171no—
917#394—171no—
918#394C2×D1711yescharacteristic
919#394C2×D1711yescharacteristic, complemented
920#393—171no—
921#393—171no—
922#392—171no—
923#392—171no—
924#392—171no—
925#392—171no—
926#392—171no—
927#392—171no—
928#392—171no—
929#392—171no—
930#392C2×D1711yescharacteristic
931#391—171no—
932#390—171no—
933#390—171no—
934#390—171no—
935#390—171no—
936#390—171no—
937#390—171no—
938#389—171no—
939#388—171no—
940#388—171no—
941#388—171no—
942#388—171no—
943#388—171no—
944#388—171no—
945#388—171no—
946#388—171no—
947#388—171no—
948#388—171no—
949#388—171no—
950#388—171no—
951#388—171no—
952#388—171no—
953#388—171no—
954#388—171no—
955#388C2×D1711yescharacteristic, complemented
956#388C2×D1711yescharacteristic, complemented
957#388C2×D1711yescharacteristic, complemented
958#387—171no—
959#387—171no—
960#387—171no—
961#387—171no—
962#387—171no—
963#386—171no—
964#386—171no—
965#386—171no—
966#386—171no—
967#386—171no—
968#386—171no—
969#386—171no—
970#386—171no—
971#386—171no—
972#386—171no—
973#386—171no—
974#386—171no—
975#386—171no—
976#386—171no—
977#386—171no—
978#386—171no—
979#386—171no—
980#386—171no—
981#386—171no—
982#386C2×D1711yescharacteristic
983#386C2×D1711yescharacteristic, complemented
984#386C2×D1711yescharacteristic, complemented
985#386C2×D1711yescharacteristic, complemented
986#385—171no—
987#385—171no—
988#385—171no—
989#385—171no—
990#385—171no—
991#385—171no—
992#385—171no—
993#385—171no—
994#385C2×D1711yescharacteristic, complemented
995#383—171no—
996#382—171no—
997#381—171no—
998#381—171no—
999#381—171no—
1000#380—171no—
1001#380—171no—
1002#380—171no—
1003#380—171no—
1004#380—171no—
1005#380—171no—
1006#380C2×D1711yescharacteristic, complemented
1007#379—171no—
1008#379—171no—
1009#379—171no—
1010#379—171no—
1011C4×C22⋊C4—171no—
1012C4×C22⋊C4—171no—
1013C2×#95—171no—
1014C2×#95—171no—
1015C2×C17—42no—
1016C2×C17—81no—
1017C2×C17—81no—
1018C2×C17C2×#53811yescharacteristic
1019C2×C17#350511yescharacteristic
1020C2×C17#350511yescharacteristic
1021C2×C17#353211yescharacteristic
1022C2×C17#353311yescharacteristic
1023C2×C17#354211yescharacteristic
1024C2×C17#354211yescharacteristic
1025D17—24no—
1026D17—42no—
1027D17—81no—
1028D17—81no—
1029C25—171no—
1030C25—171no—
1031C22×Q8—171no—
1032C22×D4—171no—
1033C22×D4—171no—
1034C22×D4—171no—
1035C22×D4—171no—
1036C22×D4—171no—
1037C22×D4—171no—
1038C22×D4—171no—
1039C22×D4—171no—
1040C22×D4—171no—
1041C22×D4—171no—
1042C22×D4—171no—
1043C22×D4—171no—
1044C22×D4—344no—
1045C22×D4—682no—
1046C22×D4—682no—
1047C22×D4C22×D1711yescharacteristic
1048C22×D4C22×D1711yescharacteristic
1049C22×D4C22×D1711yescharacteristic
1050C23×C4—171no—
1051C23×C4—171no—
1052C23×C4—171no—
1053C23×C4—171no—
1054C23×C4—171no—
1055C23×C4—171no—
1056C23×C4—171no—
1057C23×C4—171no—
1058C23×C4—171no—
1059C23×C4—682no—
1060C23×C4—682no—
1061C23×C4—682no—
1062C23×C4C22×D1711yescharacteristic
1063C23×C4C22×D1711yescharacteristic
1064#126—682no—
1065#124—682no—
1066#123—682no—
1067#123—682no—
1068#123—682no—
1069C22⋊Q8—682no—
1070C22⋊Q8—682no—
1071C22⋊Q8—682no—
1072#121—682no—
1073#121—682no—
1074#121—682no—
1075#121—682no—
1076#120—344no—
1077#120—344no—
1078#120—682no—
1079#120—682no—
1080C4×D4—682no—
1081C4×D4—682no—
1082C2×C4⋊C4—171no—
1083C2×C4⋊C4—171no—
1084C2×C4⋊C4—171no—
1085C2×C4⋊C4—171no—
1086C2×C4⋊C4—171no—
1087C2×C4⋊C4—171no—
1088C2×C4⋊C4—171no—
1089C2×C4⋊C4—171no—
1090C2×C4⋊C4—171no—
1091C2×C4⋊C4—171no—
1092C2×C4⋊C4—171no—
1093C2×C4⋊C4—171no—
1094C2×C4⋊C4—171no—
1095C2×C4⋊C4—171no—
1096C2×C4⋊C4—171no—
1097C2×C4⋊C4—171no—
1098C2×C4⋊C4—171no—
1099C2×C4⋊C4—171no—
1100C2×C4⋊C4C22×D1711yescharacteristic
1101C2×C4⋊C4C22×D1711yescharacteristic
1102C2×C4⋊C4C22×D1711yescharacteristic
1103C2×C4⋊C4C22×D1711yescharacteristic
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—171no—
1121C2×C22⋊C4—171no—
1122C2×C22⋊C4—171no—
1123C2×C22⋊C4—171no—
1124C2×C22⋊C4—171no—
1125C2×C22⋊C4—171no—
1126C2×C22⋊C4—171no—
1127C2×C22⋊C4—171no—
1128C2×C22⋊C4—171no—
1129C2×C22⋊C4—171no—
1130C2×C22⋊C4—171no—
1131C2×C22⋊C4—171no—
1132C2×C22⋊C4—171no—
1133C2×C22⋊C4—171no—
1134C2×C22⋊C4—171no—
1135C2×C22⋊C4—171no—
1136C2×C22⋊C4—171no—
1137C2×C22⋊C4—171no—
1138C2×C22⋊C4—171no—
1139C2×C22⋊C4—171no—
1140C2×C22⋊C4—171no—
1141C2×C22⋊C4—171no—
1142C2×C22⋊C4—171no—
1143C2×C22⋊C4—171no—
1144C2×C22⋊C4—171no—
1145C2×C22⋊C4—171no—
1146C2×C22⋊C4—171no—
1147C2×C22⋊C4—171no—
1148C2×C22⋊C4—171no—
1149C2×C22⋊C4—682no—
1150C2×C22⋊C4—682no—
1151C2×C22⋊C4—682no—
1152C2×C22⋊C4C22×D1711yescharacteristic
1153C2×C22⋊C4C22×D1711yescharacteristic
1154C2×C22⋊C4C22×D1711yescharacteristic
1155C2×C22⋊C4C22×D1711yescharacteristic
1156C2×C22⋊C4C22×D1711yescharacteristic
1157C2×C22⋊C4C22×D1711yescharacteristic
1158C2×C22⋊C4C22×D1711yescharacteristic
1159C2×C22⋊C4C22×D1711yescharacteristic
1160C2×C22⋊C4C22×D1711yescharacteristic
1161C2×C22⋊C4C22×D1711yescharacteristic
1162C2×C22⋊C4C22×D1711yescharacteristic
1163C2×C22⋊C4C22×D1711yescharacteristic
1164C2×C22⋊C4C22×D1711yescharacteristic
1165C2×C42—171no—
1166C2×C42—171no—
1167C2×C42—171no—
1168C2×C42—171no—
1169C2×C42—171no—
1170C2×C42C22×D1711yescharacteristic
1171#95—171no—
1172#95—171no—
1173#95—171no—
1174#95—171no—
1175#95—171no—
1176#95—171no—
1177#95—171no—
1178#95—171no—
1179#95—171no—
1180#95—171no—
1181#95—171no—
1182#95—171no—
1183#95—171no—
1184#95—171no—
1185#95—171no—
1186#95—171no—
1187#95—171no—
1188#95—171no—
1189#95—171no—
1190#95—171no—
1191#95—171no—
1192#95—171no—
1193#95—171no—
1194#95—171no—
1195#95—171no—
1196#95—171no—
1197#95—171no—
1198#95—171no—
1199#95C22×D1711yescharacteristic
1200#95C22×D1711yescharacteristic
1201#95C22×D1711yescharacteristic
1202#95C22×D1711yescharacteristic
1203#95C22×D1711yescharacteristic
1204#95C22×D1711yescharacteristic
1205#95C22×D1711yescharacteristic
1206#95C22×D1711yescharacteristic
1207#95C22×D1711yescharacteristic
1208#95C22×D1711yescharacteristic
1209#95C22×D1711yescharacteristic
1210#95C22×D1711yescharacteristic
1211C17#3675811yescharacteristic, complemented, Sylow
1212C24—171no—
1213C24—171no—
1214C24—174no—
1215C24—171no—
1216C24—171no—
1217C24—342no—
1218C24—342no—
1219C24—342no—
1220C24—342no—
1221C24—342no—
1222C24—681no—
1223C24—681no—
1224C24—681no—
1225C24—681no—
1226C24—681no—
1227C24—681no—
1228C24—681no—
1229C24—681no—
1230C24C23×D1711yescharacteristic
1231C24C23×D1711yescharacteristic
1232C24C23×D1711yescharacteristic
1233C2×Q8—342no—
1234C2×Q8—681no—
1235C2×Q8—681no—
1236C2×D4—22no—
1237C2×D4—22no—
1238C2×D4—41no—
1239C2×D4—41no—
1240C2×D4—41no—
1241C2×D4—41no—
1242C2×D4—41no—
1243C2×D4—41no—
1244C2×D4—41no—
1245C2×D4—342no—
1246C2×D4—342no—
1247C2×D4—342no—
1248C2×D4—342no—
1249C2×D4—342no—
1250C2×D4—342no—
1251C2×D4—342no—
1252C2×D4—342no—
1253C2×D4—342no—
1254C2×D4—342no—
1255C2×D4—342no—
1256C2×D4—342no—
1257C2×D4—342no—
1258C2×D4—681no—
1259C2×D4—681no—
1260C2×D4—681no—
1261C2×D4—681no—
1262C2×D4—681no—
1263C2×D4—681no—
1264C2×D4—681no—
1265C2×D4—681no—
1266C2×D4—681no—
1267C2×D4—681no—
1268C2×D4—681no—
1269C2×D4—681no—
1270C2×D4—681no—
1271C2×D4—681no—
1272C2×D4—681no—
1273C2×D4—681no—
1274C2×D4—681no—
1275C2×D4—681no—
1276C2×D4—681no—
1277C2×D4—681no—
1278C2×D4—681no—
1279C2×D4—681no—
1280C2×D4—681no—
1281C2×D4—6816no—
1282C22×C4—22no—
1283C22×C4—41no—
1284C22×C4—41no—
1285C22×C4—41no—
1286C22×C4—41no—
1287C22×C4—41no—
1288C22×C4—171no—
1289C22×C4—171no—
1290C22×C4—171no—
1291C22×C4—171no—
1292C22×C4—171no—
1293C22×C4—171no—
1294C22×C4—171no—
1295C22×C4—171no—
1296C22×C4—171no—
1297C22×C4—171no—
1298C22×C4—171no—
1299C22×C4—171no—
1300C22×C4—342no—
1301C22×C4—342no—
1302C22×C4—342no—
1303C22×C4—342no—
1304C22×C4—342no—
1305C22×C4—342no—
1306C22×C4—342no—
1307C22×C4—342no—
1308C22×C4—342no—
1309C22×C4—342no—
1310C22×C4—342no—
1311C22×C4—342no—
1312C22×C4—681no—
1313C22×C4—681no—
1314C22×C4—681no—
1315C22×C4—681no—
1316C22×C4—681no—
1317C22×C4—681no—
1318C22×C4—681no—
1319C22×C4—681no—
1320C22×C4—681no—
1321C22×C4—681no—
1322C22×C4—681no—
1323C22×C4—681no—
1324C22×C4—681no—
1325C22×C4—6816no—
1326C22×C4—681no—
1327C22×C4—681no—
1328C22×C4C23×D1711yescharacteristic
1329C22×C4C23×D1711yescharacteristic
1330C22×C4C23×D1711yescharacteristic
1331C22×C4C23×D1711yescharacteristic
1332C22×C4C23×D1711yescharacteristic
1333C22×C4C23×D1711yescharacteristic
1334C22×C4C23×D1711yescharacteristic
1335C22×C4C23×D1711yescharacteristic
1336C22×C4C23×D1711yescharacteristic
1337C22×C4C23×D1711yescharacteristic
1338C22×C4C23×D1711yescharacteristic
1339C22×C4C23×D1711yescharacteristic
1340C4⋊C4—41no—
1341C4⋊C4—41no—
1342C4⋊C4—41no—
1343C4⋊C4—41no—
1344C4⋊C4—342no—
1345C4⋊C4—342no—
1346C4⋊C4—342no—
1347C4⋊C4—342no—
1348C4⋊C4—681no—
1349C4⋊C4—681no—
1350C4⋊C4—681no—
1351C4⋊C4—681no—
1352C4⋊C4—681no—
1353C4⋊C4—681no—
1354C4⋊C4—681no—
1355C4⋊C4—681no—
1356C4⋊C4—681no—
1357C4⋊C4—681no—
1358C4⋊C4—681no—
1359C4⋊C4—681no—
1360C4⋊C4—681no—
1361C4⋊C4—681no—
1362C22⋊C4—22no—
1363C22⋊C4—22no—
1364C22⋊C4—22no—
1365C22⋊C4—41no—
1366C22⋊C4—41no—
1367C22⋊C4—41no—
1368C22⋊C4—41no—
1369C22⋊C4—41no—
1370C22⋊C4—41no—
1371C22⋊C4—41no—
1372C22⋊C4—41no—
1373C22⋊C4—41no—
1374C22⋊C4—41no—
1375C22⋊C4—342no—
1376C22⋊C4—342no—
1377C22⋊C4—342no—
1378C22⋊C4—342no—
1379C22⋊C4—342no—
1380C22⋊C4—342no—
1381C22⋊C4—342no—
1382C22⋊C4—342no—
1383C22⋊C4—342no—
1384C22⋊C4—342no—
1385C22⋊C4—342no—
1386C22⋊C4—342no—
1387C22⋊C4—342no—
1388C22⋊C4—681no—
1389C22⋊C4—681no—
1390C22⋊C4—681no—
1391C22⋊C4—681no—
1392C22⋊C4—681no—
1393C22⋊C4—681no—
1394C22⋊C4—681no—
1395C22⋊C4—681no—
1396C22⋊C4—681no—
1397C22⋊C4—681no—
1398C22⋊C4—681no—
1399C22⋊C4—681no—
1400C22⋊C4—681no—
1401C22⋊C4—681no—
1402C22⋊C4—681no—
1403C22⋊C4—681no—
1404C22⋊C4—681no—
1405C22⋊C4—681no—
1406C22⋊C4—681no—
1407C22⋊C4—681no—
1408C22⋊C4—681no—
1409C22⋊C4—681no—
1410C22⋊C4—681no—
1411C22⋊C4—681no—
1412C22⋊C4—681no—
1413C22⋊C4—681no—
1414C22⋊C4—681no—
1415C22⋊C4—681no—
1416C22⋊C4—681no—
1417C22⋊C4—681no—
1418C22⋊C4—681no—
1419C22⋊C4—681no—
1420C42—41no—
1421C42—681no—
1422C42—681no—
1423C42—681no—
1424C42—681no—
1425C42—681no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—172no—
1447C23—172no—
1448C23—172no—
1449C23—172no—
1450C23—348no—
1451C23—341no—
1452C23—341no—
1453C23—341no—
1454C23—341no—
1455C23—341no—
1456C23—341no—
1457C23—341no—
1458C23—341no—
1459C23—341no—
1460C23—341no—
1461C23—341no—
1462C23—341no—
1463C23—341no—
1464C23—341no—
1465C23—341no—
1466C23—341no—
1467C23—341no—
1468C23—341no—
1469C23—341no—
1470C23—341no—
1471C23—341no—
1472C23—341no—
1473C23—341no—
1474C23—341no—
1475C23—684no—
1476C23—684no—
1477C23—684no—
1478C23—684no—
1479C23—684no—
1480C23—684no—
1481C23—684no—
1482C23—684no—
1483C23—684no—
1484C23—1362no—
1485C23—1362no—
1486C23—1362no—
1487C23—1362no—
1488C23#41×D1712yes—
1489C23C24×D1711yescharacteristic
1490Q8—1362no—
1491D4—44no—
1492D4—82no—
1493D4—82no—
1494D4—684no—
1495D4—684no—
1496D4—684no—
1497D4—684no—
1498D4—684no—
1499D4—1362no—
1500D4—1362no—
1501D4—1362no—
1502D4—1362no—
1503D4—1362no—
1504D4—1362no—
1505D4—1362no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—44no—
1542C2×C4—82no—
1543C2×C4—172no—
1544C2×C4—341no—
1545C2×C4—341no—
1546C2×C4—341no—
1547C2×C4—341no—
1548C2×C4—341no—
1549C2×C4—341no—
1550C2×C4—341no—
1551C2×C4—341no—
1552C2×C4—341no—
1553C2×C4—341no—
1554C2×C4—341no—
1555C2×C4—341no—
1556C2×C4—341no—
1557C2×C4—341no—
1558C2×C4—341no—
1559C2×C4—341no—
1560C2×C4—341no—
1561C2×C4—341no—
1562C2×C4—341no—
1563C2×C4—341no—
1564C2×C4—341no—
1565C2×C4—341no—
1566C2×C4—341no—
1567C2×C4—341no—
1568C2×C4—341no—
1569C2×C4—341no—
1570C2×C4—341no—
1571C2×C4—341no—
1572C2×C4—341no—
1573C2×C4—341no—
1574C2×C4—341no—
1575C2×C4—341no—
1576C2×C4—341no—
1577C2×C4—341no—
1578C2×C4—341no—
1579C2×C4—684no—
1580C2×C4—684no—
1581C2×C4—684no—
1582C2×C4—684no—
1583C2×C4—684no—
1584C2×C4—684no—
1585C2×C4—1362no—
1586C2×C4—1362no—
1587C2×C4—1362no—
1588C2×C4#1058769612yes—
1589C22—22no—
1590C22—22no—
1591C22—22no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—174no—
1611C22—342no—
1612C22—342no—
1613C22—342no—
1614C22—342no—
1615C22—342no—
1616C22—342no—
1617C22—342no—
1618C22—342no—
1619C22—342no—
1620C22—6816no—
1621C22—681no—
1622C22—681no—
1623C22—681no—
1624C22—681no—
1625C22—681no—
1626C22—681no—
1627C22—681no—
1628C22—681no—
1629C22—681no—
1630C22—681no—
1631C22—681no—
1632C22—681no—
1633C22—681no—
1634C22—681no—
1635C22—681no—
1636C22—681no—
1637C22—681no—
1638C22—681no—
1639C22—1368no—
1640C22C2×#41×D1711yescharacteristic
1641C22H(5,𝔽2)×D1711yescharacteristic
1642C22H(5,𝔽2)×D1711yescharacteristic
1643C22H(5,𝔽2)×D1711yescharacteristic
1644C22C2×#1058769611yescharacteristic
1645C22#1176364411yescharacteristic
1646C22#1176364511yescharacteristic
1647C4—22no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—41no—
1658C4—41no—
1659C4—342no—
1660C4—681no—
1661C4—681no—
1662C4—681no—
1663C4—681no—
1664C4—681no—
1665C4—681no—
1666C4—681no—
1667C4—681no—
1668C4—681no—
1669C4—681no—
1670C4—681no—
1671C2—42no—
1672C2—81no—
1673C2—81no—
1674C2—344no—
1675C2—682no—
1676C2—1361no—
1677C2—1361no—
1678C2D17×#53811yescharacteristic
1679C2#1454261311yescharacteristic
1680C2#1454261511yescharacteristic
1681C2#1454293511yescharacteristic
1682C2#1454295111yescharacteristic
1683C2#1454308911yescharacteristic
1684C2#1454310311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D17
commutator, socle, cosocleC23×C17C25
FittingC17×#2778C2
hypercenter#2778D17
hypocenterC17#36758
LCSG ▷ C23×C17 ▷ C17
UCSC1 ◁ C23 ◁ #2778

Complements

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

NH ≅ G/Ntype
1. #14537072C2semidirect
2. #14537065C2semidirect
3. #14536634C2semidirect
4. #14536449C2semidirect
5. #14536418C2semidirect
6. #14536409C2semidirect
7. #14536107C2semidirect
8. #14536058C2semidirect
9. #14536011C2semidirect
10. #14535906C2semidirect
11. #14535782C2semidirect
12. #14535582C2semidirect
13. #14535433C2semidirect
14. #14535407C2semidirect
15. #14535335C2semidirect
16. #14535224C2semidirect
17. #14535088C2semidirect
18. #14534497C2semidirect
19. #14534495C2semidirect
20. #14533164C2semidirect
21. #14533111C2semidirect
22. #14533023C2semidirect
23. #14532911C2semidirect
24. #14532340C2semidirect
25. #14532319C2semidirect
26. #14532260C2semidirect
27. #14532251C2semidirect
28. #14531446C2semidirect
29. #14531440C2semidirect
30. D17×#386C2semidirect
31. C17×#2778C2semidirect
34. C2×#10587565C22semidirect
35. C2×#10587571C22semidirect
38. C2×#10587569C22semidirect
40. C2×#10587583C22semidirect
41. C2×#10587610C22semidirect
42. C2×#10587616C22semidirect
44. C2×#10587570C22semidirect
45. C2×#10587625C22semidirect
55. #11762751C22semidirect
56. #11762751C22semidirect
57. #11762750C22semidirect
58. #11762750C22semidirect
59. #11762750C22semidirect
60. #11762746C22semidirect
61. #11762742C22semidirect
62. #11762742C22semidirect
63. #11762738C22semidirect
64. #11762737C22semidirect
65. #11762737C22semidirect
66. #11762736C22semidirect
67. #11762736C22semidirect
68. #11762736C22semidirect
69. #11762734C22semidirect
70. #11762734C22semidirect
71. #11762732C22semidirect
72. #11762732C22semidirect
73. #11762731C22semidirect
75. #11762727C22semidirect
77. #11762726C22semidirect
80. #11762725C22semidirect
81. #11762725C22semidirect
82. #11762725C22semidirect
85. #11762724C22semidirect
87. #11762722C22semidirect
88. #11762721C22semidirect
96. #11762717C22semidirect
97. #11762713C22semidirect
98. #11762712C22semidirect
99. #11762712C22semidirect
100. #11762710C22semidirect
101. #11762709C22semidirect
102. #11762709C22semidirect
103. #11762709C22semidirect
104. #11762707C22semidirect
105. #11762702C22semidirect
106. #11762702C22semidirect
107. #11762701C22semidirect
108. #11762701C22semidirect
109. #11762701C22semidirect
110. #11762700C22semidirect
111. #11762700C22semidirect
112. #11762699C22semidirect
113. #11762699C22semidirect
114. #11762698C22semidirect
115. #11762698C22semidirect
116. #11762698C22semidirect
117. #11762698C22semidirect
118. #11762697C22semidirect
119. #11762697C22semidirect
120. #11762697C22semidirect
121. #11762696C22semidirect
122. #11762695C22semidirect
123. #11762694C22semidirect
124. #11762692C22semidirect
125. #11762692C22semidirect
128. #11762688C22semidirect
129. #11762688C22semidirect
134. #11762687C22semidirect
135. #11762687C22semidirect
136. #11762687C22semidirect
142. #11762685C22semidirect
143. #11762685C22semidirect
144. #11762685C22semidirect
145. #11762684C22semidirect
146. #11762684C22semidirect
150. #11762683C22semidirect
151. #11762683C22semidirect
153. #11762676C22semidirect
154. #11762674C22semidirect
155. #11762672C22semidirect
159. #11762668C22semidirect
160. #11762668C22semidirect
161. #11762667C22semidirect
163. #11762666C22semidirect
172. C17×#401C22semidirect
173. C17×#400C22semidirect
174. C17×#397C22semidirect
176. C17×#394C22semidirect
178. C17×#388C22semidirect
179. C17×#388C22semidirect
180. C17×#388C22semidirect
182. C17×#386C22semidirect
183. C17×#386C22semidirect
184. C17×#386C22semidirect
185. C17×#385C22semidirect
186. C17×#380C22semidirect
753. #2778D17semidirect
883. #401C2×D17semidirect
889. #400C2×D17semidirect
901. #397C2×D17semidirect
919. #394C2×D17semidirect
955. #388C2×D17semidirect
956. #388C2×D17semidirect
957. #388C2×D17semidirect
983. #386C2×D17semidirect
984. #386C2×D17semidirect
985. #386C2×D17semidirect
994. #385C2×D17semidirect
1006. #380C2×D17semidirect
1211. C17#36758semidirect

Maximal subgroups

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

subgroupindex
#145370722
#145370652
#145366342
#145364492
#145364182
#145364092
#145361072
#145360582
#145360112
#145359062
#145357822
#145355822
#145354332
#145354072
#145353352
#145352242
#145350882
#145344972
#145344952
#145331642
#145331112
#145330232
#145329112
#145323402
#145323192
#145322602
#145322512
#145314462
#145314402
D17×#3862
C17×#27782
#3675817