Finite Group Databasebeta

← #17241858

Subgroups — #17241858

Order 4352.

2184 conjugacy classes of subgroups.

The subgroup lattice has 1636 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11763427C211yesmaximal, characteristic, complemented
2C2×#11763395C211yesmaximal, characteristic, complemented
3#14537085C211yesmaximal, characteristic, complemented
4#14535700C211yesmaximal, characteristic, complemented
5#14535607C211yesmaximal, characteristic, complemented
6#14535592C211yesmaximal, characteristic, complemented
7#14535551C211yesmaximal, characteristic, complemented
8#14535377C211yesmaximal, characteristic, complemented
9#14535353C211yesmaximal, characteristic, complemented
10#14535331C211yesmaximal, characteristic, complemented
11#14535260C211yesmaximal, characteristic, complemented
12#14535217C211yesmaximal, characteristic, complemented
13#14535187C211yesmaximal, characteristic, complemented
14#14535172C211yesmaximal, characteristic, complemented
15#14535161C211yesmaximal, characteristic, complemented
16#14535079C211yesmaximal, characteristic, complemented
17#14535066C211yesmaximal, characteristic, complemented
18#14535007C211yesmaximal, characteristic, complemented
19#14534987C211yesmaximal, characteristic, complemented
20#14534934C211yesmaximal, characteristic, complemented
21#14534912C211yesmaximal, characteristic, complemented
22#14534468C211yesmaximal, characteristic, complemented
23#14534418C211yesmaximal, characteristic, complemented
24#14534403C211yesmaximal, characteristic, complemented
25#14534386C211yesmaximal, characteristic, complemented
26#14534270C211yesmaximal, characteristic, complemented
27#14533940C211yesmaximal, characteristic, complemented
28#14532212C211yesmaximal, characteristic, complemented
29#14532166C211yesmaximal, characteristic, complemented
30#14531227C211yesmaximal, characteristic, complemented
31C17×#2854C211yesmaximal, characteristic, complemented
32#11763427—28no—
33#11763395—28no—
34C2×#10587574C2211yescharacteristic, complemented
35C2×#10587584C2211yescharacteristic
36C2×#10587584C2211yescharacteristic
37C2×#10587565C2211yescharacteristic
38C2×#10587565C2211yescharacteristic, complemented
39C2×#10587561C2211yescharacteristic
40C2×#10587622C2211yescharacteristic, complemented
41C2×#10587571C2211yescharacteristic
42C2×#10587571C2211yescharacteristic
43C2×#10587571C2211yescharacteristic
44C2×#10587571C2211yescharacteristic
45C2×#10587580C2211yescharacteristic
46C2×#10587569C2211yescharacteristic
47C2×#10587583C2211yescharacteristic
48C2×#10587610C2211yescharacteristic, complemented
49C2×#10587582C2211yescharacteristic
50C2×#10587582C2211yescharacteristic, complemented
51C2×#10587564C2211yescharacteristic, complemented
52C2×#10587616C2211yescharacteristic
53C2×#10587570C2211yescharacteristic
54C2×#10587625C2211yescharacteristic
55C2×#10587624C2211yescharacteristic
56C2×#10587568C2211yescharacteristic
57C2×#10587623C2211yescharacteristic
58C2×#10587623C2211yescharacteristic
59C2×#10587573C2211yescharacteristic, complemented
60C2×#10587579C2211yescharacteristic
61C2×C4×C22⋊D17C2211yescharacteristic
62C2×#10587558C2211yescharacteristic
63C2×#10587563C2211yescharacteristic, complemented
64C2×C22⋊C4×D17C2211yescharacteristic
65#11762750C2211yescharacteristic, complemented
66#11762748C2211yescharacteristic, complemented
67#11762745C2211yescharacteristic
68#11762744C2211yescharacteristic
69#11762743C2211yescharacteristic, complemented
70#11762739C2211yescharacteristic, complemented
71#11762738C2211yescharacteristic
72#11762738C2211yescharacteristic
73#11762738C2211yescharacteristic
74#11762738C2211yescharacteristic, complemented
75#11762737C2211yescharacteristic
76#11762737C2211yescharacteristic
77#11762737C2211yescharacteristic, complemented
78#11762737C2211yescharacteristic, complemented
79#11762735C2211yescharacteristic
80#11762734C2211yescharacteristic, complemented
81#11762733C2211yescharacteristic
82#11762732C2211yescharacteristic
83#11762732C2211yescharacteristic, complemented
84#11762731C2211yescharacteristic
85#11762729C2211yescharacteristic, complemented
86#11762729C2211yescharacteristic, complemented
87#11762729C2211yescharacteristic, complemented
88#11762727C2211yescharacteristic
89#11762727C2211yescharacteristic
90#11762726C2211yescharacteristic
91#11762726C2211yescharacteristic
92#11762724C2211yescharacteristic
93#11762724C2211yescharacteristic
94#11762724C2211yescharacteristic
95#11762724C2211yescharacteristic
96#11762724C2211yescharacteristic
97#11762724C2211yescharacteristic, complemented
98#11762723C2211yescharacteristic
99#11762723C2211yescharacteristic
100#11762723C2211yescharacteristic
101#11762722C2211yescharacteristic
102#11762722C2211yescharacteristic
103#11762722C2211yescharacteristic, complemented
104#11762721C2211yescharacteristic
105#11762721C2211yescharacteristic
106#11762721C2211yescharacteristic
107#11762721C2211yescharacteristic, complemented
108#11762718C2211yescharacteristic
109#11762718C2211yescharacteristic
110#11762717C2211yescharacteristic
111#11762717C2211yescharacteristic
112#11762717C2211yescharacteristic, complemented
113#11762715C2211yescharacteristic, complemented
114#11762713C2211yescharacteristic, complemented
115#11762713C2211yescharacteristic, complemented
116#11762713C2211yescharacteristic, complemented
117#11762711C2211yescharacteristic
118#11762709C2211yescharacteristic
119#11762709C2211yescharacteristic
120#11762709C2211yescharacteristic
121#11762709C2211yescharacteristic, complemented
122#11762704C2211yescharacteristic, complemented
123#11762704C2211yescharacteristic, complemented
124#11762704C2211yescharacteristic, complemented
125#11762703C2211yescharacteristic
126#11762703C2211yescharacteristic
127#11762703C2211yescharacteristic
128#11762703C2211yescharacteristic, complemented
129#11762700C2211yescharacteristic
130#11762700C2211yescharacteristic
131#11762700C2211yescharacteristic
132#11762700C2211yescharacteristic
133#11762700C2211yescharacteristic, complemented
134#11762700C2211yescharacteristic, complemented
135#11762699C2211yescharacteristic
136#11762699C2211yescharacteristic
137#11762699C2211yescharacteristic, complemented
138#11762699C2211yescharacteristic, complemented
139#11762698C2211yescharacteristic
140#11762698C2211yescharacteristic
141#11762696C2211yescharacteristic, complemented
142#11762696C2211yescharacteristic, complemented
143#11762695C2211yescharacteristic, complemented
144#11762693C2211yescharacteristic, complemented
145#11762693C2211yescharacteristic, complemented
146#11762691C2211yescharacteristic, complemented
147#11762689C2211yescharacteristic
148#11762688C2211yescharacteristic
149#11762688C2211yescharacteristic
150#11762688C2211yescharacteristic
151#11762688C2211yescharacteristic
152#11762688C2211yescharacteristic, complemented
153#11762688C2211yescharacteristic, complemented
154#11762686C2211yescharacteristic
155#11762686C2211yescharacteristic, complemented
156#11762685C2211yescharacteristic
157#11762685C2211yescharacteristic, complemented
158#11762683C2211yescharacteristic, complemented
159#11762682C2211yescharacteristic, complemented
160#11762682C2211yescharacteristic, complemented
161#11762681C2211yescharacteristic, complemented
162#11762680C2211yescharacteristic
163#11762675C2211yescharacteristic, complemented
164#11762671C2211yescharacteristic
165#11762671C2211yescharacteristic
166#11762668C2211yescharacteristic, complemented
167#11762664C2211yescharacteristic
168#11762664C2211yescharacteristic
169#11762664C2211yescharacteristic
170C4×#63225C2211yescharacteristic, complemented
171C4×#63227C2211yescharacteristic
172C4×C22⋊Dic17C2211yescharacteristic, complemented
173#11762655C2211yescharacteristic, complemented
174C2×C17×#123C2211yescharacteristic
175C2×C17×#123C2211yescharacteristic, complemented
176C2×C17×#121C2211yescharacteristic
177C22×C42×C17C2211yescharacteristic, complemented
178C17×#390C2211yescharacteristic
179C17×#390C2211yescharacteristic
180C17×#389C2211yescharacteristic, complemented
181C17×#389C2211yescharacteristic, complemented
182C17×#388C2211yescharacteristic
183C17×#388C2211yescharacteristic
184C17×#388C2211yescharacteristic, complemented
185C17×#388C2211yescharacteristic, complemented
186C17×#386C2211yescharacteristic
187C17×#386C2211yescharacteristic, complemented
188C17×#380C2211yescharacteristic, complemented
189C24×D17C2311yescharacteristic
190C22×D4×C17C2311yescharacteristic
191C22×D4×C17C2311yescharacteristic
192C22×D4×C17C2311yescharacteristic
193C23×C4×C17C2311yescharacteristic
194C23×C4×C17C2311yescharacteristic
195C23×C4×C17C2311yescharacteristic
196C22×C22⋊D17C2311yescharacteristic
197C22×C22⋊D17C2311yescharacteristic
198C22×C22⋊D17C2311yescharacteristic
199C22×C22⋊D17C2311yescharacteristic
200C22×C22⋊D17C2311yescharacteristic
201C22×C22⋊D17C2311yescharacteristic
202C22×C22⋊D17C2311yescharacteristic
203C23×Dic17C2311yescharacteristic
204C22×D68C2311yescharacteristic
205C22×D68C2311yescharacteristic
206C22×C4×D17C2311yescharacteristic
207C22×C4×D17C2311yescharacteristic
208C22×C4×D17C2311yescharacteristic
209C22×Dic34C2311yescharacteristic
210C22×Dic34C2311yescharacteristic
211C22×Dic34C2311yescharacteristic
212C22×Dic34C2311yescharacteristic
213C17×#123—24no—
214C17×#123—24no—
215C17×#121—42no—
216C2×C4⋊C4×C17C2311yescharacteristic
217C2×C4⋊C4×C17C2311yescharacteristic
218C2×C4⋊C4×C17C2311yescharacteristic
219C2×C4⋊C4×C17C2311yescharacteristic
220C2×C4⋊C4×C17C2311yescharacteristic
221C2×C4⋊C4×C17C2311yescharacteristic
222C2×C4⋊C4×C17C2311yescharacteristic
223C2×C22⋊C4×C17C2311yescharacteristic
224C2×C22⋊C4×C17C2311yescharacteristic
225C2×C22⋊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×C42×C17—42no—
236C2×C42×C17C2311yescharacteristic
237C2×C42×C17C2311yescharacteristic
238C2×C42×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
253C2×C22⋊Dic17C2311yescharacteristic
254C2×C22⋊Dic17C2311yescharacteristic
255#10587625—24no—
256#10587624—24no—
257#10587623—24no—
258#10587623—42no—
259#10587622—24no—
260#10587616—24no—
261C4×C22⋊D17D418yescomplemented
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×#63227C2311yescharacteristic
291C2×C4⋊Dic17C2311yescharacteristic
292C2×C4⋊Dic17C2311yescharacteristic
293C2×C4⋊Dic17C2311yescharacteristic
294C2×C4⋊Dic17C2311yescharacteristic
295#10587610—24no—
296C2×#63225C2311yescharacteristic
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×#63225C2311yescharacteristic
312C2×#63225C2311yescharacteristic
313C2×C4×Dic17C2311yescharacteristic
314C2×C4×Dic17C2311yescharacteristic
315C2×C4×Dic17C2311yescharacteristic
316C2×C4×Dic17C2311yescharacteristic
317C2×C4×Dic17C2311yescharacteristic
318C2×C4×Dic17C2311yescharacteristic
319C2×C4×Dic17C2311yescharacteristic
320#10587584—24no—
321#10587584—24no—
322#10587583—24no—
323#10587582—24no—
324#10587582—42no—
325#10587580—24no—
326#10587579—24no—
327#10587574—24no—
328#10587573—24no—
329#10587571—24no—
330#10587571—24no—
331#10587571—24no—
332#10587571—24no—
333#10587570—24no—
334#10587569—24no—
335#10587568—24no—
336C22⋊C4×D17—24no—
337#10587565—24no—
338#10587565—24no—
339#10587564—24no—
340#10587563—24no—
341#10587561—42no—
342#10587558—42no—
343C17×#95C2311yescharacteristic
344C17×#95C2311yescharacteristic
345C17×#95C2311yescharacteristic
346C17×#95C2311yescharacteristic
347C17×#95C2311yescharacteristic
348C17×#95C2311yescharacteristic
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
369#10587502C2311yescharacteristic
370#10587502C2311yescharacteristic
371#10587502C2311yescharacteristic
372#10587502C2311yescharacteristic
373#10587502C2311yescharacteristic
374#10587502C2311yescharacteristic
375#10587502C2311yescharacteristic
376#10587502C2311yescharacteristic
377#10587502C2311yescharacteristic
378#10587502C2311yescharacteristic
379C24×C17C2411yescharacteristic
380C24×C17C2411yescharacteristic
381C24×C17C2411yescharacteristic
382C23×D17—22no—
383C23×D17—41no—
384C23×D17—41no—
385C23×D17—41no—
386C23×D17—41no—
387C23×D17—41no—
388C23×D17—41no—
389C23×D17C2411yescharacteristic
390C23×D17C2411yescharacteristic
391C23×D17C2411yescharacteristic
392C2×D4×C17—22no—
393C2×D4×C17—22no—
394C2×D4×C17—22no—
395C2×D4×C17—41no—
396C2×D4×C17—41no—
397C2×D4×C17—41no—
398C2×D4×C17—41no—
399C2×D4×C17—41no—
400C2×D4×C17—41no—
401C22×C4×C17—22no—
402C22×C4×C17—41no—
403C22×C4×C17—41no—
404C22×C4×C17—41no—
405C22×C4×C17—41no—
406C22×C4×C17—41no—
407C22×C4×C17—41no—
408C22×C4×C17—41no—
409C22×C4×C17C2×D414yes—
410C22×C4×C17C2411yescharacteristic
411C22×C4×C17C2411yescharacteristic
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
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—
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—
441C2×C22⋊D17—41no—
442C2×C22⋊D17C2×D414yes—
443C22×Dic17—22no—
444C22×Dic17—41no—
445C22×Dic17—41no—
446C22×Dic17C2411yescharacteristic
447C22×Dic17C2411yescharacteristic
448C22×Dic17C2411yescharacteristic
449C22×Dic17C2411yescharacteristic
450C22×Dic17C2411yescharacteristic
451C22×Dic17C2411yescharacteristic
452C22×Dic17C2411yescharacteristic
453C22×Dic17C2411yescharacteristic
454C22×Dic17C2411yescharacteristic
455C22×Dic17C2411yescharacteristic
456C22×Dic17C2411yescharacteristic
457C22×Dic17C2411yescharacteristic
458C22×Dic17C2411yescharacteristic
459C2×D68—22no—
460C2×D68—22no—
461C2×D68—41no—
462C2×D68—41no—
463C2×D68—41no—
464C2×D68—41no—
465C2×C4×D17—22no—
466C2×C4×D17—22no—
467C2×C4×D17—41no—
468C2×C4×D17—41no—
469C2×C4×D17—41no—
470C2×C4×D17—41no—
471C2×C4×D17—41no—
472C2×C4×D17—41no—
473C2×C4×D17C2×D414yes—
474C2×Dic34—22no—
475C2×Dic34—22no—
476C2×Dic34—22no—
477C2×Dic34—22no—
478C2×Dic34—41no—
479C2×Dic34—41no—
480C2×Dic34—41no—
481C2×Dic34—41no—
482C2×Dic34—41no—
483C2×Dic34—41no—
484C2×Dic34—41no—
485C2×Dic34—41no—
486C4⋊C4×C17—22no—
487C4⋊C4×C17—22no—
488C4⋊C4×C17—22no—
489C4⋊C4×C17—22no—
490C4⋊C4×C17—22no—
491C4⋊C4×C17—41no—
492C4⋊C4×C17—41no—
493C22⋊C4×C17—22no—
494C22⋊C4×C17—22no—
495C22⋊C4×C17—22no—
496C22⋊C4×C17—22no—
497C22⋊C4×C17—22no—
498C22⋊C4×C17—22no—
499C22⋊C4×C17—41no—
500C22⋊C4×C17—41no—
501C22⋊C4×C17—41no—
502C22⋊C4×C17—41no—
503C22⋊C4×C17—41no—
504C22⋊C4×C17—41no—
505C42×C17—22no—
506C42×C17—22no—
507C42×C17—41no—
508C42×C17—41no—
509C22⋊Dic17—22no—
510C22⋊Dic17—22no—
511C22⋊Dic17—22no—
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⋊Dic17C2×D414yes—
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—22no—
533#63227—22no—
534#63227—22no—
535#63227—22no—
536#63227—22no—
537#63227—41no—
538#63227—41no—
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#63227C2×D414yes—
553C4⋊Dic17—22no—
554C4⋊Dic17—22no—
555C4⋊Dic17—22no—
556C4⋊Dic17—22no—
557#63225—22no—
558#63225—22no—
559#63225—22no—
560#63225—22no—
561#63225—22no—
562#63225—22no—
563#63225—22no—
564#63225—41no—
565#63225—41no—
566#63225—41no—
567#63225—41no—
568#63225—41no—
569#63225—41no—
570#63225—41no—
571#63225—41no—
572#63225—41no—
573#63225C2×D414yes—
574C4×Dic17—22no—
575C4×Dic17—22no—
576C4×Dic17—22no—
577C4×Dic17—22no—
578C4×Dic17—41no—
579C4×Dic17—41no—
580C4×Dic17C2×D414yes—
581#36745—171nomaximal, Sylow
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×C17—21no—
602C23×C17C22×D412yes—
603C23×C17C2511yescharacteristic
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—21no—
616C22×D17—21no—
617C22×D17—21no—
618C22×D17—21no—
619C22×D17—21no—
620C22×D17—21no—
621C22×D17—21no—
622C22×D17—21no—
623C22×D17—21no—
624C22×D17—44no—
625C22×D17—82no—
626C22×D17—82no—
627C22×D17—82no—
628C22×D17—82no—
629C22×D17—82no—
630C22×D17—82no—
631C22×D17C22×D412yes—
632D4×C17—82no—
633D4×C17—82no—
634D4×C17—82no—
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—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—44no—
669C2×C4×C17—44no—
670C2×C4×C17—44no—
671C2×C4×C17C22×D412yes—
672C2×C4×C17C22×D412yes—
673C2×C4×C17H(5,𝔽2)12yes—
674C22⋊D17—44no—
675C22⋊D17—82no—
676C22⋊D17—82no—
677C22⋊D17—82no—
678C22⋊D17—82no—
679C22⋊D17—82no—
680C22⋊D17—82no—
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—21no—
715C2×Dic17—21no—
716C2×Dic17—21no—
717C2×Dic17—44no—
718C2×Dic17C22×D412yes—
719C2×Dic17C22×D412yes—
720C2×Dic17C22×D412yes—
721D68—44no—
722D68—82no—
723C4×D17—44no—
724C4×D17—82no—
725C4×D17—82no—
726Dic34—44no—
727Dic34—82no—
728Dic34—82no—
729Dic34—82no—
730C2×#542—171no—
731C2×#538—171no—
732#2854D1711yescharacteristic, complemented
733#2850—171no—
734#2723—171no—
735#2716—171no—
736#2715—171no—
737#2712—171no—
738#2700—171no—
739#2698—171no—
740#2696—171no—
741#2691—171no—
742#2688—171no—
743#2686—171no—
744#2685—171no—
745#2684—171no—
746#2676—171no—
747#2674—171no—
748#2670—171no—
749#2668—171no—
750#2663—171no—
751#2661—171no—
752#2610—171no—
753#2604—171no—
754#2602—171no—
755#2601—171no—
756#2592—171no—
757#2561—171no—
758#2415—171no—
759#2411—171no—
760#2290—171no—
761C22×C17—22no—
762C22×C17—22no—
763C22×C17—22no—
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×C17C23×D411yescharacteristic
783C22×C17C2×H(5,𝔽2)11yescharacteristic
784C22×C17#58511yescharacteristic
785C22×C17#58511yescharacteristic
786C22×C17#58511yescharacteristic
787C22×C17#58511yescharacteristic
788C22×C17#58511yescharacteristic
789C2×D17—22no—
790C2×D17—22no—
791C2×D17—22no—
792C2×D17—41no—
793C2×D17—41no—
794C2×D17—41no—
795C2×D17—41no—
796C2×D17—41no—
797C2×D17—41no—
798C2×D17—41no—
799C2×D17—41no—
800C2×D17—41no—
801C2×D17—41no—
802C2×D17—41no—
803C2×D17—41no—
804C2×D17—41no—
805C2×D17—41no—
806C2×D17—41no—
807C2×D17—41no—
808C2×D17—41no—
809C2×D17—41no—
810C2×D17—88no—
811C4×C17—22no—
812C4×C17—22no—
813C4×C17—22no—
814C4×C17—41no—
815C4×C17—41no—
816C4×C17—41no—
817C4×C17—41no—
818C4×C17—41no—
819C4×C17—41no—
820C4×C17—41no—
821C4×C17—41no—
822C4×C17—41no—
823Dic17—22no—
824Dic17—22no—
825Dic17—22no—
826Dic17—41no—
827Dic17—41no—
828Dic17—41no—
829Dic17—41no—
830Dic17—41no—
831Dic17—41no—
832Dic17—41no—
833Dic17—41no—
834Dic17—41no—
835Dic17—41no—
836#542—348no—
837#538—348no—
838C2×C4⋊Q8—171no—
839C2×#126—171no—
840C2×#126—171no—
841C2×#126—171no—
842C2×#126—171no—
843C2×#124—171no—
844C2×#124—171no—
845C2×#124—171no—
846C2×#124—171no—
847C2×#124—171no—
848C2×#124—171no—
849C2×#123—171no—
850C2×#123—171no—
851C2×#123C2×D1711yescharacteristic
852C2×#123C2×D1711yescharacteristic, complemented
853C2×C22⋊Q8—171no—
854C2×C22⋊Q8—171no—
855C2×C22⋊Q8—171no—
856C2×C22⋊Q8—171no—
857C2×C22⋊Q8—171no—
858C2×#121—171no—
859C2×#121—171no—
860C2×#121—171no—
861C2×#121—171no—
862C2×#121C2×D1711yescharacteristic
863C2×#120—171no—
864C2×#120—171no—
865C2×#120—171no—
866C2×C4×Q8—171no—
867C2×C4×D4—171no—
868C2×C4×D4—171no—
869C2×#117—171no—
870C2×#117—171no—
871C22×C22⋊C4—171no—
872C22×C42C2×D1711yescharacteristic, complemented
873#400—171no—
874#400—171no—
875#399—171no—
876#399—171no—
877#398—171no—
878#398—171no—
879#397—171no—
880#397—171no—
881#397—171no—
882#397—171no—
883#397—171no—
884#397—171no—
885#397—171no—
886#397—171no—
887#397—171no—
888#397—171no—
889#396—171no—
890#396—171no—
891#396—171no—
892#396—171no—
893#395—171no—
894#395—171no—
895#395—171no—
896#394—171no—
897#394—171no—
898#394—171no—
899#394—171no—
900#394—171no—
901#394—171no—
902#394—171no—
903#394—171no—
904#394—171no—
905#394—171no—
906#394—171no—
907#394—171no—
908#394—171no—
909#393—171no—
910#393—171no—
911#393—171no—
912#393—171no—
913#393—171no—
914#393—171no—
915#393—171no—
916#392—171no—
917#392—171no—
918#392—171no—
919#392—171no—
920#392—171no—
921#391—171no—
922#391—171no—
923#391—171no—
924#391—171no—
925#390—171no—
926#390—171no—
927#390—171no—
928#390—171no—
929#390—171no—
930#390C2×D1711yescharacteristic
931#390C2×D1711yescharacteristic
932#389—171no—
933#389—171no—
934#389—171no—
935#389C2×D1711yescharacteristic, complemented
936#389C2×D1711yescharacteristic, complemented
937#388—171no—
938#388—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#388C2×D1711yescharacteristic
954#388C2×D1711yescharacteristic
955#388C2×D1711yescharacteristic, complemented
956#388C2×D1711yescharacteristic, complemented
957#387—171no—
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#386C2×D1711yescharacteristic
975#386C2×D1711yescharacteristic, complemented
976#385—171no—
977#385—171no—
978#385—171no—
979#385—171no—
980#385—171no—
981#382—171no—
982#381—171no—
983#381—171no—
984#380—171no—
985#380C2×D1711yescharacteristic, complemented
986#379—171no—
987#379—171no—
988#379—171no—
989C4×C4⋊C4—171no—
990C4×C22⋊C4—171no—
991C4×C22⋊C4—171no—
992#376—171no—
993C2×C17—42no—
994C2×C17—81no—
995C2×C17—81no—
996C2×C17#344911yescharacteristic
997C2×C17#349611yescharacteristic
998C2×C17#350011yescharacteristic
999C2×C17#353311yescharacteristic
1000C2×C17#354011yescharacteristic
1001C2×C17#356611yescharacteristic
1002C2×C17#356811yescharacteristic
1003D17—42no—
1004D17—81no—
1005D17—81no—
1006C25—171no—
1007C22×Q8—171no—
1008C22×Q8—171no—
1009C22×Q8—171no—
1010C22×Q8—171no—
1011C22×D4—171no—
1012C22×D4—171no—
1013C22×D4—171no—
1014C22×D4—171no—
1015C22×D4—171no—
1016C22×D4—171no—
1017C22×D4—171no—
1018C22×D4—171no—
1019C22×D4—171no—
1020C22×D4C22×D1711yescharacteristic
1021C22×D4C22×D1711yescharacteristic
1022C22×D4C22×D1711yescharacteristic
1023C23×C4—171no—
1024C23×C4—171no—
1025C23×C4—171no—
1026C23×C4—171no—
1027C23×C4C22×D1711yescharacteristic
1028C23×C4C22×D1711yescharacteristic
1029C23×C4C22×D1711yescharacteristic
1030C4⋊Q8—344no—
1031#126—344no—
1032#126—344no—
1033#126—344no—
1034#126—344no—
1035#124—344no—
1036#124—344no—
1037#124—344no—
1038#124—344no—
1039#124—344no—
1040#124—682no—
1041#123—24no—
1042#123—24no—
1043#123—344no—
1044#123—344no—
1045C22⋊Q8—344no—
1046C22⋊Q8—344no—
1047C22⋊Q8—344no—
1048C22⋊Q8—344no—
1049C22⋊Q8—682no—
1050#121—42no—
1051#121—344no—
1052#121—344no—
1053#121—344no—
1054#121—344no—
1055#120—344no—
1056#120—344no—
1057#120—682no—
1058C4×Q8—344no—
1059C4×D4—178no—
1060C4×D4—344no—
1061#117—344no—
1062#117—682no—
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—171no—
1075C2×C4⋊C4—171no—
1076C2×C4⋊C4—171no—
1077C2×C4⋊C4—171no—
1078C2×C4⋊C4—171no—
1079C2×C4⋊C4—171no—
1080C2×C4⋊C4—171no—
1081C2×C4⋊C4—171no—
1082C2×C4⋊C4—171no—
1083C2×C4⋊C4—171no—
1084C2×C4⋊C4C22×D1711yescharacteristic
1085C2×C4⋊C4C22×D1711yescharacteristic
1086C2×C4⋊C4C22×D1711yescharacteristic
1087C2×C4⋊C4C22×D1711yescharacteristic
1088C2×C4⋊C4C22×D1711yescharacteristic
1089C2×C4⋊C4C22×D1711yescharacteristic
1090C2×C4⋊C4C22×D1711yescharacteristic
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—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—344no—
1136C2×C22⋊C4C22×D1711yescharacteristic
1137C2×C22⋊C4C22×D1711yescharacteristic
1138C2×C22⋊C4C22×D1711yescharacteristic
1139C2×C22⋊C4C22×D1711yescharacteristic
1140C2×C22⋊C4C22×D1711yescharacteristic
1141C2×C22⋊C4C22×D1711yescharacteristic
1142C2×C22⋊C4C22×D1711yescharacteristic
1143C2×C22⋊C4C22×D1711yescharacteristic
1144C2×C22⋊C4C22×D1711yescharacteristic
1145C2×C22⋊C4C22×D1711yescharacteristic
1146C2×C22⋊C4C22×D1711yescharacteristic
1147C2×C22⋊C4C22×D1711yescharacteristic
1148C2×C42—42no—
1149C2×C42—171no—
1150C2×C42—171no—
1151C2×C42—171no—
1152C2×C42—171no—
1153C2×C42—171no—
1154C2×C42—171no—
1155C2×C42—171no—
1156C2×C42C22×D1711yescharacteristic
1157C2×C42C22×D1711yescharacteristic
1158C2×C42C22×D1711yescharacteristic
1159C2×C42C22×D1711yescharacteristic
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#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#95C22×D1711yescharacteristic
1191#95C22×D1711yescharacteristic
1192#95C22×D1711yescharacteristic
1193#95C22×D1711yescharacteristic
1194#95C22×D1711yescharacteristic
1195#95C22×D1711yescharacteristic
1196C17#3674511yescharacteristic, complemented, Sylow
1197C24—171no—
1198C24—171no—
1199C24—171no—
1200C24—342no—
1201C24—681no—
1202C24—681no—
1203C24—681no—
1204C24—681no—
1205C24—681no—
1206C24—681no—
1207C24C23×D1711yescharacteristic
1208C24C23×D1711yescharacteristic
1209C24C23×D1711yescharacteristic
1210C2×Q8—342no—
1211C2×Q8—342no—
1212C2×Q8—342no—
1213C2×Q8—342no—
1214C2×Q8—681no—
1215C2×Q8—681no—
1216C2×Q8—681no—
1217C2×Q8—681no—
1218C2×Q8—681no—
1219C2×Q8—681no—
1220C2×Q8—681no—
1221C2×Q8—681no—
1222C2×D4—22no—
1223C2×D4—22no—
1224C2×D4—22no—
1225C2×D4—41no—
1226C2×D4—41no—
1227C2×D4—41no—
1228C2×D4—41no—
1229C2×D4—41no—
1230C2×D4—41no—
1231C2×D4—174no—
1232C2×D4—342no—
1233C2×D4—342no—
1234C2×D4—342no—
1235C2×D4—342no—
1236C2×D4—342no—
1237C2×D4—342no—
1238C2×D4—681no—
1239C2×D4—681no—
1240C2×D4—681no—
1241C2×D4—681no—
1242C2×D4—681no—
1243C2×D4—681no—
1244C2×D4—681no—
1245C2×D4—681no—
1246C2×D4—681no—
1247C2×D4—681no—
1248C2×D4—681no—
1249C2×D4—681no—
1250C2×D4—681no—
1251C2×D4—681no—
1252C2×D4—681no—
1253C2×D4—681no—
1254C2×D4—681no—
1255C2×D4—681no—
1256C2×D4—681no—
1257C2×D4—681no—
1258C22×C4—22no—
1259C22×C4—41no—
1260C22×C4—41no—
1261C22×C4—41no—
1262C22×C4—41no—
1263C22×C4—41no—
1264C22×C4—41no—
1265C22×C4—41no—
1266C22×C4—171no—
1267C22×C4—171no—
1268C22×C4—171no—
1269C22×C4—174no—
1270C22×C4—171no—
1271C22×C4—171no—
1272C22×C4—171no—
1273C22×C4—171no—
1274C22×C4—171no—
1275C22×C4—171no—
1276C22×C4—171no—
1277C22×C4—171no—
1278C22×C4—171no—
1279C22×C4—171no—
1280C22×C4—342no—
1281C22×C4—342no—
1282C22×C4—342no—
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×C4D4×D1714yes—
1292C22×C4C23×D1711yescharacteristic
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—22no—
1307C4⋊C4—22no—
1308C4⋊C4—22no—
1309C4⋊C4—41no—
1310C4⋊C4—41no—
1311C4⋊C4—174no—
1312C4⋊C4—342no—
1313C4⋊C4—342no—
1314C4⋊C4—342no—
1315C4⋊C4—342no—
1316C4⋊C4—342no—
1317C4⋊C4—342no—
1318C4⋊C4—342no—
1319C4⋊C4—342no—
1320C4⋊C4—342no—
1321C4⋊C4—342no—
1322C4⋊C4—342no—
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—22no—
1336C22⋊C4—22no—
1337C22⋊C4—22no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—41no—
1343C22⋊C4—41no—
1344C22⋊C4—174no—
1345C22⋊C4—174no—
1346C22⋊C4—342no—
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—342no—
1361C22⋊C4—342no—
1362C22⋊C4—342no—
1363C22⋊C4—342no—
1364C22⋊C4—342no—
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—
1382C22⋊C4—681no—
1383C22⋊C4—681no—
1384C22⋊C4—681no—
1385C22⋊C4—681no—
1386C22⋊C4—681no—
1387C22⋊C4—681no—
1388C42—22no—
1389C42—22no—
1390C42—41no—
1391C42—41no—
1392C42—174no—
1393C42—342no—
1394C42—342no—
1395C42—342no—
1396C42—342no—
1397C42—681no—
1398C42—681no—
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—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—172no—
1420C23—341no—
1421C23—341no—
1422C23—341no—
1423C23—341no—
1424C23—341no—
1425C23—341no—
1426C23—341no—
1427C23—341no—
1428C23—341no—
1429C23—341no—
1430C23—341no—
1431C23—341no—
1432C23—341no—
1433C23—341no—
1434C23—341no—
1435C23—341no—
1436C23—341no—
1437C23—341no—
1438C23—341no—
1439C23—341no—
1440C23—684no—
1441C23—1362no—
1442C23—1362no—
1443C23—1362no—
1444C23—1362no—
1445C23—1362no—
1446C23—1362no—
1447C23C2×D4×D1712yes—
1448C23C24×D1711yescharacteristic
1449Q8—684no—
1450Q8—1362no—
1451Q8—1362no—
1452Q8—1362no—
1453D4—82no—
1454D4—82no—
1455D4—82no—
1456D4—684no—
1457D4—684no—
1458D4—1362no—
1459D4—1362no—
1460D4—1362no—
1461D4—1362no—
1462D4—1362no—
1463D4—1362no—
1464D4—1362no—
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—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—44no—
1499C2×C4—44no—
1500C2×C4—44no—
1501C2×C4—172no—
1502C2×C4—172no—
1503C2×C4—172no—
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—341no—
1527C2×C4—341no—
1528C2×C4—341no—
1529C2×C4—341no—
1530C2×C4—341no—
1531C2×C4—341no—
1532C2×C4—341no—
1533C2×C4—341no—
1534C2×C4—341no—
1535C2×C4—341no—
1536C2×C4—341no—
1537C2×C4—341no—
1538C2×C4—341no—
1539C2×C4—341no—
1540C2×C4—684no—
1541C2×C4—684no—
1542C2×C4—1362no—
1543C2×C4—1362no—
1544C2×C4C2×D4×D1712yes—
1545C2×C4C2×D4×D1712yes—
1546C2×C4#1058769112yes—
1547C22—22no—
1548C22—22no—
1549C22—22no—
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—41no—
1568C22—342no—
1569C22—342no—
1570C22—342no—
1571C22—681no—
1572C22—681no—
1573C22—681no—
1574C22—681no—
1575C22—681no—
1576C22—681no—
1577C22—681no—
1578C22—681no—
1579C22—681no—
1580C22—681no—
1581C22—681no—
1582C22—681no—
1583C22—681no—
1584C22—681no—
1585C22—681no—
1586C22—681no—
1587C22—681no—
1588C22—681no—
1589C22—1368no—
1590C22C22×D4×D1711yescharacteristic
1591C22C2×#1058769111yescharacteristic
1592C22#1176364511yescharacteristic
1593C22#1176364511yescharacteristic
1594C22#1176364511yescharacteristic
1595C22#1176364511yescharacteristic
1596C22#1176364511yescharacteristic
1597C4—22no—
1598C4—22no—
1599C4—22no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—342no—
1610C4—342no—
1611C4—342no—
1612C4—681no—
1613C4—681no—
1614C4—681no—
1615C4—681no—
1616C4—681no—
1617C4—681no—
1618C4—681no—
1619C4—681no—
1620C4—681no—
1621C4—681no—
1622C2—42no—
1623C2—81no—
1624C2—81no—
1625C2—682no—
1626C2—1361no—
1627C2—1361no—
1628C2#1454211111yescharacteristic
1629C2#1454254111yescharacteristic
1630C2#1454257111yescharacteristic
1631C2#1454295511yescharacteristic
1632C2#1454305211yescharacteristic
1633C2#1454344411yescharacteristic
1634C2#1454348011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D17
commutator, socle, cosocleC23×C17C25
FittingC17×#2854C2
hypercenter#2854D17
hypocenterC17#36745
LCSG ▷ C23×C17 ▷ C17
UCSC1 ◁ C23 ◁ #2854

Complements

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

NH ≅ G/Ntype
1. C2×#11763427C2semidirect
2. C2×#11763395C2semidirect
3. #14537085C2semidirect
4. #14535700C2semidirect
5. #14535607C2semidirect
6. #14535592C2semidirect
7. #14535551C2semidirect
8. #14535377C2semidirect
9. #14535353C2semidirect
10. #14535331C2semidirect
11. #14535260C2semidirect
12. #14535217C2semidirect
13. #14535187C2semidirect
14. #14535172C2semidirect
15. #14535161C2semidirect
16. #14535079C2semidirect
17. #14535066C2semidirect
18. #14535007C2semidirect
19. #14534987C2semidirect
20. #14534934C2semidirect
21. #14534912C2semidirect
22. #14534468C2semidirect
23. #14534418C2semidirect
24. #14534403C2semidirect
25. #14534386C2semidirect
26. #14534270C2semidirect
27. #14533940C2semidirect
28. #14532212C2semidirect
29. #14532166C2semidirect
30. #14531227C2semidirect
31. C17×#2854C2semidirect
34. C2×#10587574C22semidirect
38. C2×#10587565C22semidirect
40. C2×#10587622C22semidirect
48. C2×#10587610C22semidirect
50. C2×#10587582C22semidirect
51. C2×#10587564C22semidirect
59. C2×#10587573C22semidirect
63. C2×#10587563C22semidirect
65. #11762750C22semidirect
66. #11762748C22semidirect
69. #11762743C22semidirect
70. #11762739C22semidirect
74. #11762738C22semidirect
77. #11762737C22semidirect
78. #11762737C22semidirect
80. #11762734C22semidirect
83. #11762732C22semidirect
85. #11762729C22semidirect
86. #11762729C22semidirect
87. #11762729C22semidirect
97. #11762724C22semidirect
103. #11762722C22semidirect
107. #11762721C22semidirect
112. #11762717C22semidirect
113. #11762715C22semidirect
114. #11762713C22semidirect
115. #11762713C22semidirect
116. #11762713C22semidirect
121. #11762709C22semidirect
122. #11762704C22semidirect
123. #11762704C22semidirect
124. #11762704C22semidirect
128. #11762703C22semidirect
133. #11762700C22semidirect
134. #11762700C22semidirect
137. #11762699C22semidirect
138. #11762699C22semidirect
141. #11762696C22semidirect
142. #11762696C22semidirect
143. #11762695C22semidirect
144. #11762693C22semidirect
145. #11762693C22semidirect
146. #11762691C22semidirect
152. #11762688C22semidirect
153. #11762688C22semidirect
155. #11762686C22semidirect
157. #11762685C22semidirect
158. #11762683C22semidirect
159. #11762682C22semidirect
160. #11762682C22semidirect
161. #11762681C22semidirect
163. #11762675C22semidirect
166. #11762668C22semidirect
170. C4×#63225C22semidirect
172. C4×C22⋊Dic17C22semidirect
173. #11762655C22semidirect
175. C2×C17×#123C22semidirect
177. C22×C42×C17C22semidirect
180. C17×#389C22semidirect
181. C17×#389C22semidirect
184. C17×#388C22semidirect
185. C17×#388C22semidirect
187. C17×#386C22semidirect
188. C17×#380C22semidirect
261. C4×C22⋊D17D4semidirect
732. #2854D17semidirect
852. C2×#123C2×D17semidirect
872. C22×C42C2×D17semidirect
935. #389C2×D17semidirect
936. #389C2×D17semidirect
955. #388C2×D17semidirect
956. #388C2×D17semidirect
975. #386C2×D17semidirect
985. #380C2×D17semidirect
1196. C17#36745semidirect

Maximal subgroups

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

subgroupindex
C2×#117634272
C2×#117633952
#145370852
#145357002
#145356072
#145355922
#145355512
#145353772
#145353532
#145353312
#145352602
#145352172
#145351872
#145351722
#145351612
#145350792
#145350662
#145350072
#145349872
#145349342
#145349122
#145344682
#145344182
#145344032
#145343862
#145342702
#145339402
#145322122
#145321662
#145312272
C17×#28542
#3674517