Finite Group Databasebeta

← #17200306

Subgroups — #17200306

Order 4352.

2464 conjugacy classes of subgroups.

The subgroup lattice has 1654 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11763550C211yesmaximal, characteristic
2#14531940C211yesmaximal, characteristic, complemented
3#14531939C211yesmaximal, characteristic, complemented
4#14531931C211yesmaximal, characteristic, complemented
5#14531916C211yesmaximal, characteristic, complemented
6#14531913C211yesmaximal, characteristic, complemented
7#14531904C211yesmaximal, characteristic, complemented
8#14531848C211yesmaximal, characteristic, complemented
9#14531802C211yesmaximal, characteristic, complemented
10#14531799C211yesmaximal, characteristic, complemented
11#14531797C211yesmaximal, characteristic, complemented
12#14531797C211yesmaximal, characteristic, complemented
13#14531766C211yesmaximal, characteristic, complemented
14#14531766C211yesmaximal, characteristic, complemented
15#14531762C211yesmaximal, characteristic, complemented
16#14531563C211yesmaximal, characteristic, complemented
17#14531559C211yesmaximal, characteristic, complemented
18#14531548C211yesmaximal, characteristic, complemented
19#14531548C211yesmaximal, characteristic, complemented
20#14531544C211yesmaximal, characteristic, complemented
21#14531544C211yesmaximal, characteristic, complemented
22#14531509C211yesmaximal, characteristic, complemented
23#14531457C211yesmaximal, characteristic, complemented
24#14531448C211yesmaximal, characteristic, complemented
25#14531446C211yesmaximal, characteristic, complemented
26#14531441C211yesmaximal, characteristic, complemented
27#14531437C211yesmaximal, characteristic, complemented
28C4×#10587580C211yesmaximal, characteristic, complemented
29C4×#10587581C211yesmaximal, characteristic, complemented
30#14531296C211yesmaximal, characteristic, complemented
31C17×#2373C211yesmaximal, characteristic, complemented
32#11763550C4116yescomplemented
33C2×#10587560C2211yescharacteristic
34C2×#10587562C2211yescharacteristic
35C2×#10587580C2211yescharacteristic
36C2×#10587580C2211yescharacteristic
37C2×#10587580C2211yescharacteristic
38C2×#10587581C2211yescharacteristic
39C2×#10587581C2211yescharacteristic
40C2×#10587581C2211yescharacteristic
41C2×#10587570C2211yescharacteristic
42C2×#10587570C2211yescharacteristic
43C2×#10587570C2211yescharacteristic
44C2×#10587568C2211yescharacteristic
45C2×#10587568C2211yescharacteristic
46C2×#10587568C2211yescharacteristic
47C2×C4×D68C2211yescharacteristic
48C2×C4×D68C2211yescharacteristic
49C2×C4×D68C2211yescharacteristic
50C2×C4×D68C2211yescharacteristic
51C2×C4×D68C2211yescharacteristic, complemented
52C2×C4×D68C2211yescharacteristic, complemented
53C2×#10587579C2211yescharacteristic
54C2×#10587579C2211yescharacteristic
55C2×#10587579C2211yescharacteristic, complemented
56C2×#10587567C2211yescharacteristic
57C2×#10587567C2211yescharacteristic
58C2×#10587567C2211yescharacteristic
59C2×C4⋊C4×D17C2211yescharacteristic, complemented
60C2×C4⋊C4×D17C2211yescharacteristic, complemented
61C22×#63227C2211yescharacteristic
62C2×C22⋊C4×D17C2211yescharacteristic
63C2×C22⋊C4×D17C2211yescharacteristic
64C2×C42×D17C2211yescharacteristic, complemented
65#11762711C2211yescharacteristic
66#11762711C2211yescharacteristic
67#11762711C2211yescharacteristic
68#11762711C2211yescharacteristic, complemented
69#11762711C2211yescharacteristic, complemented
70#11762710C2211yescharacteristic
71#11762710C2211yescharacteristic
72#11762710C2211yescharacteristic
73#11762710C2211yescharacteristic, complemented
74#11762709C2211yescharacteristic
75#11762709C2211yescharacteristic
76#11762709C2211yescharacteristic
77#11762708C2211yescharacteristic, complemented
78#11762708C2211yescharacteristic, complemented
79#11762706C2211yescharacteristic, complemented
80#11762706C2211yescharacteristic, complemented
81#11762704C2211yescharacteristic, complemented
82#11762702C2211yescharacteristic
83#11762702C2211yescharacteristic
84#11762702C2211yescharacteristic
85#11762701C2211yescharacteristic
86#11762701C2211yescharacteristic
87#11762701C2211yescharacteristic
88#11762701C2211yescharacteristic, complemented
89#11762701C2211yescharacteristic, complemented
90#11762700C2211yescharacteristic
91#11762700C2211yescharacteristic
92#11762700C2211yescharacteristic
93#11762700C2211yescharacteristic, complemented
94#11762699C2211yescharacteristic
95#11762699C2211yescharacteristic
96#11762699C2211yescharacteristic
97#11762699C2211yescharacteristic, complemented
98#11762698C2211yescharacteristic
99#11762698C2211yescharacteristic
100#11762698C2211yescharacteristic
101#11762698C2211yescharacteristic, complemented
102#11762698C2211yescharacteristic, complemented
103#11762696C2211yescharacteristic, complemented
104#11762696C2211yescharacteristic, complemented
105#11762695C2211yescharacteristic, complemented
106#11762695C2211yescharacteristic, complemented
107#11762695C2211yescharacteristic, complemented
108#11762693C2211yescharacteristic, complemented
109#11762693C2211yescharacteristic, complemented
110#11762691C2211yescharacteristic, complemented
111#11762690C2211yescharacteristic, complemented
112#11762688C2211yescharacteristic
113#11762688C2211yescharacteristic
114#11762688C2211yescharacteristic
115#11762687C2211yescharacteristic
116#11762687C2211yescharacteristic
117#11762687C2211yescharacteristic
118#11762687C2211yescharacteristic
119#11762687C2211yescharacteristic
120#11762687C2211yescharacteristic
121#11762687C2211yescharacteristic
122#11762687C2211yescharacteristic
123#11762687C2211yescharacteristic
124#11762687C2211yescharacteristic
125#11762687C2211yescharacteristic
126#11762687C2211yescharacteristic
127#11762687C2211yescharacteristic, complemented
128#11762687C2211yescharacteristic, complemented
129#11762687C2211yescharacteristic, complemented
130#11762687C2211yescharacteristic, complemented
131#11762687C2211yescharacteristic, complemented
132#11762687C2211yescharacteristic, complemented
133#11762685C2211yescharacteristic
134#11762685C2211yescharacteristic
135#11762685C2211yescharacteristic
136#11762684C2211yescharacteristic
137#11762684C2211yescharacteristic
138#11762683C2211yescharacteristic
139#11762683C2211yescharacteristic
140#11762683C2211yescharacteristic
141#11762683C2211yescharacteristic
142#11762683C2211yescharacteristic, complemented
143#11762680C2211yescharacteristic
144#11762680C2211yescharacteristic
145#11762680C2211yescharacteristic, complemented
146#11762680C2211yescharacteristic, complemented
147#11762675C2211yescharacteristic, complemented
148#11762671C2211yescharacteristic, complemented
149#11762671C2211yescharacteristic, complemented
150#11762671C2211yescharacteristic, complemented
151#11762668C2211yescharacteristic, complemented
152#11762666C2211yescharacteristic, complemented
153#11762664C2211yescharacteristic
154C4⋊C4×Dic17C2211yescharacteristic, complemented
155C4×#63225C2211yescharacteristic, complemented
156C4×#63225C2211yescharacteristic, complemented
157C4×C4⋊Dic17C2211yescharacteristic, complemented
158#11762660C2211yescharacteristic, complemented
159C22⋊C4×Dic17C2211yescharacteristic
160C4×#63227C2211yescharacteristic
161C4×#63227C2211yescharacteristic
162C4×#63227C2211yescharacteristic
163C4×#63227C2211yescharacteristic
164C4×#63227C2211yescharacteristic, complemented
165C4×#63227C2211yescharacteristic, complemented
166C4×#63227C2211yescharacteristic, complemented
167C4×#63227C2211yescharacteristic, complemented
168#11762656C2211yescharacteristic
169#11762656C2211yescharacteristic
170#11762656C2211yescharacteristic, complemented
171#11762656C2211yescharacteristic, complemented
172#11762656C2211yescharacteristic, complemented
173C2×C17×#126C2211yescharacteristic
174C17×#389C2211yescharacteristic, complemented
175C17×#388C2211yescharacteristic
176C17×#388C2211yescharacteristic
177C17×#388C2211yescharacteristic
178C17×#387C2211yescharacteristic, complemented
179C17×#387C2211yescharacteristic, complemented
180C17×#387C2211yescharacteristic, complemented
181C17×#385C2211yescharacteristic
182C4×C4⋊C4×C17C2211yescharacteristic, complemented
183C4×C4⋊C4×C17C2211yescharacteristic, complemented
184C4×C4⋊C4×C17C2211yescharacteristic, complemented
185C4×C22⋊C4×C17C2211yescharacteristic
186C4×C22⋊C4×C17C2211yescharacteristic
187C17×#376C2211yescharacteristic, complemented
188C24×D17C2311yescharacteristic
189C23×C4×C17C2311yescharacteristic
190C22×C22⋊D17C2311yescharacteristic
191C22×C22⋊D17C2311yescharacteristic
192C22×C22⋊D17C2311yescharacteristic
193C23×Dic17C2311yescharacteristic
194C22×D68C2311yescharacteristic
195C22×D68C2311yescharacteristic
196C22×D68C2311yescharacteristic
197C22×D68C2311yescharacteristic
198C22×D68C2311yescharacteristic
199C22×D68C2311yescharacteristic
200C22×D68C2311yescharacteristic
201C22×D68C2311yescharacteristic
202C22×D68C2311yescharacteristic
203C22×C4×D17C2311yescharacteristic
204C22×C4×D17C2311yescharacteristic
205C22×C4×D17C2311yescharacteristic
206C22×C4×D17C2311yescharacteristic
207C22×C4×D17C2311yescharacteristic
208C22×C4×D17C2311yescharacteristic
209C22×C4×D17C2311yescharacteristic
210C22×C4×D17C2311yescharacteristic
211C22×C4×D17C2311yescharacteristic
212C22×C4×D17C2311yescharacteristic
213C22×C4×D17C2311yescharacteristic
214C22×C4×D17C2311yescharacteristic
215C22×C4×D17C2311yescharacteristic
216C17×#126C2×C418yescomplemented
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×C4⋊C4×C17C2311yescharacteristic
224C2×C4⋊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×C42×C17C2311yescharacteristic
232C2×C42×C17C2311yescharacteristic
233C2×C42×C17C2311yescharacteristic
234C2×C42×C17C2311yescharacteristic
235C2×C42×C17C2311yescharacteristic
236C2×C42×C17C2311yescharacteristic
237C2×C42×C17C2311yescharacteristic
238C2×C42×C17C2311yescharacteristic
239C2×C22⋊Dic17C2311yescharacteristic
240C2×C22⋊Dic17C2311yescharacteristic
241C2×C22⋊Dic17C2311yescharacteristic
242C2×#63227—42no—
243C2×#63227C2311yescharacteristic
244C2×#63227C2311yescharacteristic
245C2×#63227C2311yescharacteristic
246C2×#63227C2311yescharacteristic
247C2×#63227C2311yescharacteristic
248C2×#63227C2311yescharacteristic
249C2×#63227C2311yescharacteristic
250C2×#63227C2311yescharacteristic
251C2×#63227C2311yescharacteristic
252C2×#63227C2311yescharacteristic
253C2×#63227C2311yescharacteristic
254C2×#63227C2311yescharacteristic
255C2×#63227C2311yescharacteristic
256C2×#63227C2311yescharacteristic
257C2×#63227C2311yescharacteristic
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×C4⋊Dic17C2311yescharacteristic
283C2×C4⋊Dic17C2311yescharacteristic
284C2×C4⋊Dic17C2311yescharacteristic
285C2×C4⋊Dic17C2311yescharacteristic
286C2×C4⋊Dic17C2311yescharacteristic
287C2×C4⋊Dic17C2311yescharacteristic
288C2×C4⋊Dic17C2311yescharacteristic
289C2×#63225C2311yescharacteristic
290C2×#63225C2311yescharacteristic
291C2×#63225C2311yescharacteristic
292C2×#63225C2311yescharacteristic
293C2×#63225C2311yescharacteristic
294C2×#63225C2311yescharacteristic
295C2×#63225C2311yescharacteristic
296C2×#63225C2311yescharacteristic
297C2×#63225C2311yescharacteristic
298C2×C4×Dic17C2311yescharacteristic
299C2×C4×Dic17C2311yescharacteristic
300C2×C4×Dic17C2311yescharacteristic
301C2×C4×Dic17C2311yescharacteristic
302C2×C4×Dic17C2311yescharacteristic
303C2×C4×Dic17C2311yescharacteristic
304C2×C4×Dic17C2311yescharacteristic
305C2×C4×Dic17C2311yescharacteristic
306C2×C4×Dic17C2311yescharacteristic
307C2×C4×Dic17C2311yescharacteristic
308C2×C4×Dic17C2311yescharacteristic
309#10587581C2×C418yescomplemented
310#10587581C2×C418yescomplemented
311#10587581C2×C418yescomplemented
312#10587580C2×C418yescomplemented
313#10587580C2×C418yescomplemented
314#10587580C2×C418yescomplemented
315#10587579—42no—
316#10587579—42no—
317#10587579—42no—
318C4⋊C4×D17—42no—
319C4⋊C4×D17—42no—
320#10587570C2×C418yescomplemented
321#10587570C2×C418yescomplemented
322#10587570C2×C418yescomplemented
323#10587568C2×C418yescomplemented
324#10587568C2×C418yescomplemented
325#10587568C2×C418yescomplemented
326#10587567—42no—
327#10587567—42no—
328#10587567—42no—
329C22⋊C4×D17—42no—
330C22⋊C4×D17—42no—
331#10587562C2×C418yescomplemented
332#10587560C2×C418yescomplemented
333C4×D68—42no—
334C4×D68—42no—
335C4×D68—42no—
336C4×D68—42no—
337C4×D68—42no—
338C4×D68—42no—
339C42×D17—42no—
340C17×#95C2311yescharacteristic
341C17×#95C2311yescharacteristic
342C17×#95C2311yescharacteristic
343C17×#95C2311yescharacteristic
344C17×#95C2311yescharacteristic
345C17×#95C2311yescharacteristic
346C17×#95C2311yescharacteristic
347C17×#95C2311yescharacteristic
348C17×#95C2311yescharacteristic
349C17×#95C2311yescharacteristic
350C17×#95C2311yescharacteristic
351C17×#95C2311yescharacteristic
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
376C24×C17C2411yescharacteristic
377C23×D17—41no—
378C23×D17—41no—
379C23×D17—41no—
380C23×D17—41no—
381C23×D17—41no—
382C23×D17—41no—
383C23×D17C22×C414yes—
384C23×D17C2411yescharacteristic
385C23×D17C2411yescharacteristic
386C23×D17C2411yescharacteristic
387C23×D17C2411yescharacteristic
388C23×D17C2411yescharacteristic
389C22×C4×C17—41no—
390C22×C4×C17—41no—
391C22×C4×C17—41no—
392C22×C4×C17C2411yescharacteristic
393C22×C4×C17C2411yescharacteristic
394C22×C4×C17C2411yescharacteristic
395C22×C4×C17C2411yescharacteristic
396C22×C4×C17C2411yescharacteristic
397C22×C4×C17C2411yescharacteristic
398C22×C4×C17C2411yescharacteristic
399C22×C4×C17C2411yescharacteristic
400C22×C4×C17C2411yescharacteristic
401C22×C4×C17C2411yescharacteristic
402C22×C4×C17C2411yescharacteristic
403C22×C4×C17C2411yescharacteristic
404C22×C4×C17C2411yescharacteristic
405C22×C4×C17C2411yescharacteristic
406C2×C22⋊D17—41no—
407C2×C22⋊D17—41no—
408C2×C22⋊D17—41no—
409C2×C22⋊D17—41no—
410C2×C22⋊D17—41no—
411C2×C22⋊D17—41no—
412C2×C22⋊D17C22×C414yes—
413C2×C22⋊D17C22×C414yes—
414C2×C22⋊D17C22×C414yes—
415C22×Dic17—22no—
416C22×Dic17—41no—
417C22×Dic17—41no—
418C22×Dic17C2411yescharacteristic
419C22×Dic17C2411yescharacteristic
420C22×Dic17C2411yescharacteristic
421C22×Dic17C2411yescharacteristic
422C22×Dic17C2411yescharacteristic
423C22×Dic17C2411yescharacteristic
424C22×Dic17C2411yescharacteristic
425C22×Dic17C2411yescharacteristic
426C22×Dic17C2411yescharacteristic
427C22×Dic17C2411yescharacteristic
428C22×Dic17C2411yescharacteristic
429C2×D68—41no—
430C2×D68—41no—
431C2×D68—41no—
432C2×D68—41no—
433C2×D68—41no—
434C2×D68—41no—
435C2×D68—41no—
436C2×D68—41no—
437C2×D68—41no—
438C2×D68—41no—
439C2×D68—41no—
440C2×D68—41no—
441C2×D68—41no—
442C2×D68—41no—
443C2×D68—41no—
444C2×D68—41no—
445C2×D68—41no—
446C2×D68—41no—
447C2×D68C22×C414yes—
448C2×D68C22×C414yes—
449C2×D68C22×C414yes—
450C2×D68C22×C414yes—
451C2×D68C22×C414yes—
452C2×D68C22×C414yes—
453C2×D68C22×C414yes—
454C2×D68C22×C414yes—
455C2×D68C22×C414yes—
456C2×C4×D17—22no—
457C2×C4×D17—22no—
458C2×C4×D17—22no—
459C2×C4×D17—22no—
460C2×C4×D17—22no—
461C2×C4×D17—22no—
462C2×C4×D17—22no—
463C2×C4×D17—41no—
464C2×C4×D17—41no—
465C2×C4×D17—41no—
466C2×C4×D17—41no—
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×D17—41no—
474C2×C4×D17—41no—
475C2×C4×D17—41no—
476C2×C4×D17—41no—
477C2×C4×D17—41no—
478C2×C4×D17—41no—
479C2×C4×D17—41no—
480C2×C4×D17—41no—
481C2×C4×D17—41no—
482C2×C4×D17—41no—
483C2×C4×D17—41no—
484C2×C4×D17—41no—
485C2×C4×D17—41no—
486C2×C4×D17—41no—
487C2×C4×D17—41no—
488C2×C4×D17—41no—
489C2×C4×D17—41no—
490C2×C4×D17—41no—
491C2×C4×D17—41no—
492C2×C4×D17C22×C414yes—
493C2×C4×D17C22×C414yes—
494C2×C4×D17C22×C414yes—
495C4⋊C4×C17—22no—
496C4⋊C4×C17—22no—
497C4⋊C4×C17—41no—
498C4⋊C4×C17—41no—
499C4⋊C4×C17—41no—
500C4⋊C4×C17C22×C414yes—
501C4⋊C4×C17C22×C414yes—
502C4⋊C4×C17C22×C414yes—
503C22⋊C4×C17—22no—
504C22⋊C4×C17—22no—
505C22⋊C4×C17—41no—
506C22⋊C4×C17C22×C414yes—
507C22⋊C4×C17C22×C414yes—
508C22⋊C4×C17C22×C414yes—
509C42×C17—22no—
510C42×C17—22no—
511C42×C17—41no—
512C42×C17—41no—
513C42×C17—41no—
514C42×C17—41no—
515C42×C17—41no—
516C42×C17C22×C414yes—
517C22⋊Dic17—41no—
518C22⋊Dic17—41no—
519C22⋊Dic17—41no—
520#63227—22no—
521#63227—22no—
522#63227—22no—
523#63227—22no—
524#63227—22no—
525#63227—22no—
526#63227—22no—
527#63227—22no—
528#63227—41no—
529#63227—41no—
530#63227—41no—
531#63227—41no—
532#63227—41no—
533#63227—41no—
534#63227—41no—
535#63227—41no—
536#63227—41no—
537#63227—41no—
538#63227—41no—
539#63227—41no—
540#63227—41no—
541#63227—41no—
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#63227C22×C414yes—
551#63227C22×C414yes—
552#63227C22×C414yes—
553#63227C22×C414yes—
554#63227C22×C414yes—
555#63227C22×C414yes—
556#63227C22×C414yes—
557#63227C22×C414yes—
558#63227C22×C414yes—
559C4⋊Dic17—22no—
560C4⋊Dic17—22no—
561C4⋊Dic17—41no—
562C4⋊Dic17—41no—
563C4⋊Dic17—41no—
564C4⋊Dic17—41no—
565C4⋊Dic17—41no—
566#63225—22no—
567#63225—22no—
568#63225—41no—
569#63225—41no—
570#63225—41no—
571#63225—41no—
572#63225C22×C414yes—
573#63225C22×C414yes—
574#63225C22×C414yes—
575C4×Dic17—22no—
576C4×Dic17—41no—
577C4×Dic17—41no—
578C4×Dic17—41no—
579C4×Dic17—41no—
580C4×Dic17—41no—
581C4×Dic17—41no—
582C4×Dic17—41no—
583C4×Dic17—41no—
584C4×Dic17—41no—
585C4×Dic17—41no—
586#34518—171nomaximal, Sylow
587C23×C17—21no—
588C23×C17—21no—
589C23×C17—21no—
590C23×C17—21no—
591C23×C17—21no—
592C23×C17—21no—
593C23×C17C23×C412yes—
594C23×C17C2511yescharacteristic
595C22×D17—21no—
596C22×D17—21no—
597C22×D17—21no—
598C22×D17—21no—
599C22×D17—21no—
600C22×D17—21no—
601C22×D17—21no—
602C22×D17—21no—
603C22×D17—21no—
604C22×D17—21no—
605C22×D17—21no—
606C22×D17—21no—
607C22×D17—21no—
608C22×D17—21no—
609C22×D17—21no—
610C22×D17—21no—
611C22×D17—21no—
612C22×D17—21no—
613C22×D17—21no—
614C22×D17—21no—
615C22×D17—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—21no—
625C22×D17—44no—
626C22×D17—44no—
627C22×D17—44no—
628C22×D17—82no—
629C22×D17—82no—
630C22×D17—82no—
631C22×D17—82no—
632C22×D17C23×C412yes—
633C22×D17C23×C412yes—
634C22×D17C23×C412yes—
635C22×D17C23×C412yes—
636C22×D17C23×C412yes—
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—21no—
669C2×C4×C17—21no—
670C2×C4×C17—21no—
671C2×C4×C17—82no—
672C2×C4×C17C23×C412yes—
673C2×C4×C17C23×C412yes—
674C2×C4×C17C23×C412yes—
675C2×C4×C17C23×C412yes—
676C2×C4×C17C23×C412yes—
677C2×C4×C17C23×C412yes—
678C2×C4×C17H(5,𝔽2)12yes—
679C2×C4×C17H(5,𝔽2)12yes—
680C22⋊D17—44no—
681C22⋊D17—44no—
682C22⋊D17—44no—
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—82no—
713C2×Dic17C23×C412yes—
714C2×Dic17C23×C412yes—
715C2×Dic17C23×C412yes—
716C2×Dic17H(5,𝔽2)12yes—
717D68—44no—
718D68—44no—
719D68—44no—
720D68—44no—
721D68—44no—
722D68—44no—
723D68—44no—
724D68—44no—
725D68—44no—
726C4×D17—44no—
727C4×D17—44no—
728C4×D17—44no—
729C4×D17—44no—
730C4×D17—44no—
731C4×D17—82no—
732C4×D17—82no—
733C4×D17—82no—
734C4×D17—82no—
735C4×D17—82no—
736C4×D17—82no—
737C4×D17—82no—
738C4×D17—82no—
739C2×#560—171no—
740#2377—171no—
741#2377—171no—
742#2376—171no—
743#2374—171no—
744#2374—171no—
745#2373—171no—
746#2373D1711yescharacteristic, complemented
747#2366—171no—
748#2361—171no—
749#2361—171no—
750#2361—171no—
751#2361—171no—
752#2358—171no—
753#2358—171no—
754#2358—171no—
755#2334—171no—
756#2334—171no—
757#2333—171no—
758#2333—171no—
759#2333—171no—
760#2333—171no—
761#2328—171no—
762#2322—171no—
763#2322—171no—
764#2321—171no—
765#2321—171no—
766#2321—171no—
767C4×#123—171no—
768C4×#121—171no—
769C4×#121—171no—
770C22×C17—22no—
771C22×C17—22no—
772C22×C17—22no—
773C22×C17—41no—
774C22×C17—41no—
775C22×C17—41no—
776C22×C17—41no—
777C22×C17C24×C411yescharacteristic
778C22×C17C2×H(5,𝔽2)11yescharacteristic
779C22×C17C2×H(5,𝔽2)11yescharacteristic
780C22×C17C2×H(5,𝔽2)11yescharacteristic
781C22×C17#58511yescharacteristic
782C22×C17#58511yescharacteristic
783C22×C17#58511yescharacteristic
784C2×D17—22no—
785C2×D17—22no—
786C2×D17—22no—
787C2×D17—22no—
788C2×D17—22no—
789C2×D17—22no—
790C2×D17—22no—
791C2×D17—22no—
792C2×D17—22no—
793C2×D17—22no—
794C2×D17—22no—
795C2×D17—22no—
796C2×D17—22no—
797C2×D17—22no—
798C2×D17—22no—
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—41no—
811C2×D17—41no—
812C2×D17—41no—
813C2×D17—41no—
814C2×D17—41no—
815C2×D17—41no—
816C2×D17—41no—
817C2×D17—41no—
818C2×D17—41no—
819C2×D17—88no—
820C4×C17—22no—
821C4×C17—22no—
822C4×C17—22no—
823C4×C17—22no—
824C4×C17—22no—
825C4×C17—22no—
826C4×C17—22no—
827C4×C17—22no—
828C4×C17—41no—
829C4×C17—41no—
830C4×C17—41no—
831C4×C17—41no—
832C4×C17—41no—
833C4×C17—41no—
834Dic17—22no—
835Dic17—22no—
836Dic17—22no—
837Dic17—22no—
838Dic17—41no—
839Dic17—41no—
840Dic17—41no—
841Dic17—41no—
842Dic17—41no—
843Dic17—41no—
844Dic17—41no—
845#560—1716no—
846C2×#127—171no—
847C2×#126—171no—
848C2×#126C2×D1711yescharacteristic
849C2×#123—171no—
850C2×#123—171no—
851C2×#123—171no—
852C2×#121—171no—
853C2×#121—171no—
854C2×#121—171no—
855C2×#121—171no—
856C2×#121—171no—
857C2×#121—171no—
858C2×#120—171no—
859C2×#120—171no—
860C2×#120—171no—
861C2×C4×D4—171no—
862C2×C4×D4—171no—
863C2×C4×D4—171no—
864C2×C4×D4—171no—
865C2×C4×D4—171no—
866C2×C4×D4—171no—
867C2×C4×D4—171no—
868C2×C4×D4—171no—
869C2×C4×D4—171no—
870C2×C4×D4—171no—
871C2×C4×D4—171no—
872C2×C4×D4—171no—
873C22×C4⋊C4—171no—
874C22×C4⋊C4—171no—
875C22×C22⋊C4—171no—
876C22×C22⋊C4—171no—
877C22×C22⋊C4—171no—
878C22×C42—171no—
879#390—171no—
880#390—171no—
881#390—171no—
882#390—171no—
883#390—171no—
884#390—171no—
885#390—171no—
886#390—171no—
887#390—171no—
888#390—171no—
889#390—171no—
890#390—171no—
891#389—171no—
892#389—171no—
893#389—171no—
894#389—171no—
895#389—171no—
896#389C2×D1711yescharacteristic, complemented
897#388—171no—
898#388—171no—
899#388—171no—
900#388—171no—
901#388—171no—
902#388—171no—
903#388—171no—
904#388—171no—
905#388—171no—
906#388—171no—
907#388—171no—
908#388—171no—
909#388—171no—
910#388—171no—
911#388—171no—
912#388—171no—
913#388—171no—
914#388—171no—
915#388—171no—
916#388—171no—
917#388—171no—
918#388C2×D1711yescharacteristic
919#388C2×D1711yescharacteristic
920#388C2×D1711yescharacteristic
921#387—171no—
922#387—171no—
923#387—171no—
924#387—171no—
925#387—171no—
926#387—171no—
927#387—171no—
928#387—171no—
929#387—171no—
930#387C2×D1711yescharacteristic, complemented
931#387C2×D1711yescharacteristic, complemented
932#387C2×D1711yescharacteristic, complemented
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#386—171no—
954#386—171no—
955#386—171no—
956#386—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#385C2×D1711yescharacteristic
969#382—171no—
970#381—171no—
971#381—171no—
972#381—171no—
973#380—171no—
974#380—171no—
975#379—171no—
976C4×C4⋊C4—171no—
977C4×C4⋊C4—171no—
978C4×C4⋊C4—171no—
979C4×C4⋊C4—171no—
980C4×C4⋊C4—171no—
981C4×C4⋊C4C2×D1711yescharacteristic, complemented
982C4×C4⋊C4C2×D1711yescharacteristic, complemented
983C4×C4⋊C4C2×D1711yescharacteristic, complemented
984C4×C22⋊C4—171no—
985C4×C22⋊C4—171no—
986C4×C22⋊C4—171no—
987C4×C22⋊C4—171no—
988C4×C22⋊C4—171no—
989C4×C22⋊C4—171no—
990C4×C22⋊C4—171no—
991C4×C22⋊C4—171no—
992C4×C22⋊C4—171no—
993C4×C22⋊C4—171no—
994C4×C22⋊C4—171no—
995C4×C22⋊C4—171no—
996C4×C22⋊C4—171no—
997C4×C22⋊C4—171no—
998C4×C22⋊C4C2×D1711yescharacteristic
999C4×C22⋊C4C2×D1711yescharacteristic
1000#376C2×D1711yescharacteristic, complemented
1001C2×C17—42no—
1002C2×C17C4×H(5,𝔽2)11yescharacteristic
1003C2×C17C4×H(5,𝔽2)11yescharacteristic
1004C2×C17C4×H(5,𝔽2)11yescharacteristic
1005C2×C17#353311yescharacteristic
1006C2×C17#353711yescharacteristic
1007C2×C17#356211yescharacteristic
1008C2×C17#356211yescharacteristic
1009D17—42no—
1010D17—42no—
1011D17—42no—
1012D17—42no—
1013D17—42no—
1014C25—171no—
1015C22×D4—171no—
1016C22×D4—171no—
1017C22×D4—171no—
1018C22×D4—171no—
1019C22×D4—171no—
1020C22×D4—171no—
1021C22×D4—171no—
1022C22×D4—171no—
1023C22×D4—171no—
1024C22×D4—171no—
1025C22×D4—171no—
1026C22×D4—171no—
1027C23×C4—171no—
1028C23×C4—171no—
1029C23×C4—171no—
1030C23×C4—171no—
1031C23×C4—171no—
1032C23×C4—171no—
1033C23×C4—171no—
1034C23×C4—171no—
1035C23×C4—171no—
1036C23×C4—171no—
1037C23×C4—171no—
1038C23×C4—171no—
1039C23×C4—171no—
1040C23×C4—171no—
1041C23×C4C22×D1711yescharacteristic
1042#127—178no—
1043#126—178no—
1044#126C4×D1718yescomplemented
1045#123—178no—
1046#123—178no—
1047#123—178no—
1048#121—178no—
1049#121—178no—
1050#121—178no—
1051#121—178no—
1052#121—178no—
1053#121—178no—
1054#120—178no—
1055#120—178no—
1056#120—178no—
1057C4×D4—682no—
1058C4×D4—682no—
1059C4×D4—682no—
1060C4×D4—682no—
1061C4×D4—682no—
1062C4×D4—682no—
1063C4×D4—682no—
1064C4×D4—682no—
1065C4×D4—682no—
1066C4×D4—682no—
1067C4×D4—682no—
1068C4×D4—682no—
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⋊C4—171no—
1085C2×C4⋊C4—682no—
1086C2×C4⋊C4—682no—
1087C2×C4⋊C4C22×D1711yescharacteristic
1088C2×C4⋊C4C22×D1711yescharacteristic
1089C2×C4⋊C4C22×D1711yescharacteristic
1090C2×C4⋊C4C22×D1711yescharacteristic
1091C2×C4⋊C4C22×D1711yescharacteristic
1092C2×C4⋊C4C22×D1711yescharacteristic
1093C2×C4⋊C4C22×D1711yescharacteristic
1094C2×C4⋊C4C22×D1711yescharacteristic
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—171no—
1136C2×C22⋊C4—171no—
1137C2×C22⋊C4—682no—
1138C2×C22⋊C4—682no—
1139C2×C22⋊C4—682no—
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×C42—171no—
1147C2×C42—171no—
1148C2×C42—171no—
1149C2×C42—171no—
1150C2×C42—171no—
1151C2×C42—171no—
1152C2×C42—171no—
1153C2×C42—171no—
1154C2×C42—171no—
1155C2×C42—171no—
1156C2×C42—171no—
1157C2×C42—682no—
1158C2×C42C22×D1711yescharacteristic
1159C2×C42C22×D1711yescharacteristic
1160C2×C42C22×D1711yescharacteristic
1161C2×C42C22×D1711yescharacteristic
1162C2×C42C22×D1711yescharacteristic
1163C2×C42C22×D1711yescharacteristic
1164C2×C42C22×D1711yescharacteristic
1165C2×C42C22×D1711yescharacteristic
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
1196#95C22×D1711yescharacteristic
1197#95C22×D1711yescharacteristic
1198#95C22×D1711yescharacteristic
1199#95C22×D1711yescharacteristic
1200#95C22×D1711yescharacteristic
1201#95C22×D1711yescharacteristic
1202C17#3451811yescharacteristic, complemented, Sylow
1203C24—171no—
1204C24—171no—
1205C24—171no—
1206C24—171no—
1207C24—171no—
1208C24—174no—
1209C24—681no—
1210C24—681no—
1211C24—681no—
1212C24—681no—
1213C24—681no—
1214C24—681no—
1215C24C23×D1711yescharacteristic
1216C2×D4—174no—
1217C2×D4—174no—
1218C2×D4—174no—
1219C2×D4—174no—
1220C2×D4—174no—
1221C2×D4—174no—
1222C2×D4—174no—
1223C2×D4—174no—
1224C2×D4—174no—
1225C2×D4—174no—
1226C2×D4—174no—
1227C2×D4—174no—
1228C2×D4—681no—
1229C2×D4—681no—
1230C2×D4—681no—
1231C2×D4—681no—
1232C2×D4—681no—
1233C2×D4—681no—
1234C2×D4—681no—
1235C2×D4—681no—
1236C2×D4—681no—
1237C2×D4—681no—
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—
1252C22×C4—41no—
1253C22×C4—41no—
1254C22×C4—41no—
1255C22×C4—171no—
1256C22×C4—171no—
1257C22×C4—171no—
1258C22×C4—171no—
1259C22×C4—174no—
1260C22×C4—174no—
1261C22×C4—174no—
1262C22×C4—171no—
1263C22×C4—171no—
1264C22×C4—171no—
1265C22×C4—171no—
1266C22×C4—171no—
1267C22×C4—171no—
1268C22×C4—171no—
1269C22×C4—342no—
1270C22×C4—342no—
1271C22×C4—342no—
1272C22×C4—342no—
1273C22×C4—342no—
1274C22×C4—342no—
1275C22×C4—342no—
1276C22×C4—342no—
1277C22×C4—681no—
1278C22×C4—681no—
1279C22×C4—681no—
1280C22×C4—681no—
1281C22×C4—681no—
1282C22×C4—681no—
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×C4—681no—
1294C22×C4—681no—
1295C22×C4—681no—
1296C22×C4—681no—
1297C22×C4—681no—
1298C22×C4—681no—
1299C22×C4—681no—
1300C22×C4—681no—
1301C22×C4—681no—
1302C22×C4—681no—
1303C22×C4—681no—
1304C22×C4—681no—
1305C22×C4—681no—
1306C22×C4—681no—
1307C22×C4—681no—
1308C22×C4C23×D1711yescharacteristic
1309C22×C4C23×D1711yescharacteristic
1310C22×C4C23×D1711yescharacteristic
1311C22×C4C23×D1711yescharacteristic
1312C22×C4C23×D1711yescharacteristic
1313C22×C4C23×D1711yescharacteristic
1314C22×C4C23×D1711yescharacteristic
1315C22×C4C23×D1711yescharacteristic
1316C22×C4C23×D1711yescharacteristic
1317C22×C4C23×D1711yescharacteristic
1318C22×C4C23×D1711yescharacteristic
1319C22×C4C23×D1711yescharacteristic
1320C22×C4C23×D1711yescharacteristic
1321C22×C4C23×D1711yescharacteristic
1322C4⋊C4—22no—
1323C4⋊C4—22no—
1324C4⋊C4—41no—
1325C4⋊C4—41no—
1326C4⋊C4—41no—
1327C4⋊C4—174no—
1328C4⋊C4—174no—
1329C4⋊C4—174no—
1330C4⋊C4—342no—
1331C4⋊C4—342no—
1332C4⋊C4—342no—
1333C4⋊C4—342no—
1334C4⋊C4—681no—
1335C4⋊C4—681no—
1336C4⋊C4—681no—
1337C4⋊C4—681no—
1338C4⋊C4—681no—
1339C4⋊C4—681no—
1340C4⋊C4—681no—
1341C4⋊C4—681no—
1342C4⋊C4—681no—
1343C4⋊C4C2×C4×D1714yes—
1344C4⋊C4C2×C4×D1714yes—
1345C4⋊C4C2×C4×D1714yes—
1346C22⋊C4—22no—
1347C22⋊C4—22no—
1348C22⋊C4—41no—
1349C22⋊C4—174no—
1350C22⋊C4—174no—
1351C22⋊C4—174no—
1352C22⋊C4—174no—
1353C22⋊C4—174no—
1354C22⋊C4—174no—
1355C22⋊C4—174no—
1356C22⋊C4—174no—
1357C22⋊C4—174no—
1358C22⋊C4—342no—
1359C22⋊C4—342no—
1360C22⋊C4—342no—
1361C22⋊C4—342no—
1362C22⋊C4—342no—
1363C22⋊C4—342no—
1364C22⋊C4—342no—
1365C22⋊C4—342no—
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—
1388C22⋊C4—681no—
1389C22⋊C4—681no—
1390C22⋊C4—681no—
1391C22⋊C4C2×C4×D1714yes—
1392C22⋊C4C2×C4×D1714yes—
1393C22⋊C4C2×C4×D1714yes—
1394C42—22no—
1395C42—22no—
1396C42—41no—
1397C42—41no—
1398C42—41no—
1399C42—41no—
1400C42—41no—
1401C42—342no—
1402C42—681no—
1403C42—681no—
1404C42—681no—
1405C42—681no—
1406C42—681no—
1407C42—681no—
1408C42—681no—
1409C42—681no—
1410C42—681no—
1411C42—681no—
1412C42C2×C4×D1714yes—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—172no—
1420C23—172no—
1421C23—172no—
1422C23—172no—
1423C23—172no—
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—341no—
1441C23—341no—
1442C23—341no—
1443C23—341no—
1444C23—341no—
1445C23—341no—
1446C23—341no—
1447C23—341no—
1448C23—341no—
1449C23—341no—
1450C23—341no—
1451C23—341no—
1452C23—341no—
1453C23—341no—
1454C23—684no—
1455C23—684no—
1456C23—684no—
1457C23—1362no—
1458C23—1362no—
1459C23—1362no—
1460C23—1362no—
1461C23C22×C4×D1712yes—
1462C23C24×D1711yescharacteristic
1463D4—684no—
1464D4—684no—
1465D4—684no—
1466D4—684no—
1467D4—684no—
1468D4—684no—
1469D4—684no—
1470D4—684no—
1471D4—684no—
1472D4—684no—
1473D4—684no—
1474D4—684no—
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—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—82no—
1510C2×C4—172no—
1511C2×C4—172no—
1512C2×C4—172no—
1513C2×C4—172no—
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—341no—
1541C2×C4—341no—
1542C2×C4—341no—
1543C2×C4—684no—
1544C2×C4—684no—
1545C2×C4—684no—
1546C2×C4—684no—
1547C2×C4—684no—
1548C2×C4—1362no—
1549C2×C4—1362no—
1550C2×C4—1362no—
1551C2×C4—1362no—
1552C2×C4—1362no—
1553C2×C4—1362no—
1554C2×C4—1362no—
1555C2×C4—1362no—
1556C2×C4—1362no—
1557C2×C4C22×C4×D1712yes—
1558C2×C4C22×C4×D1712yes—
1559C2×C4C22×C4×D1712yes—
1560C2×C4C22×C4×D1712yes—
1561C2×C4C22×C4×D1712yes—
1562C2×C4C22×C4×D1712yes—
1563C2×C4#1058769612yes—
1564C2×C4#1058769612yes—
1565C22—22no—
1566C22—22no—
1567C22—22no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—342no—
1573C22—342no—
1574C22—342no—
1575C22—342no—
1576C22—342no—
1577C22—342no—
1578C22—342no—
1579C22—342no—
1580C22—342no—
1581C22—342no—
1582C22—342no—
1583C22—342no—
1584C22—342no—
1585C22—342no—
1586C22—342no—
1587C22—681no—
1588C22—681no—
1589C22—681no—
1590C22—681no—
1591C22—681no—
1592C22—681no—
1593C22—681no—
1594C22—681no—
1595C22—681no—
1596C22—681no—
1597C22—681no—
1598C22—681no—
1599C22—681no—
1600C22—681no—
1601C22—681no—
1602C22—681no—
1603C22—681no—
1604C22—681no—
1605C22—681no—
1606C22—681no—
1607C22—1368no—
1608C22C23×C4×D1711yescharacteristic
1609C22H(5,𝔽2)×D1711yescharacteristic
1610C22C2×#1058769611yescharacteristic
1611C22C2×#1058769611yescharacteristic
1612C22#1176364511yescharacteristic
1613C22#1176364511yescharacteristic
1614C22#1176364611yescharacteristic
1615C4—22no—
1616C4—22no—
1617C4—22no—
1618C4—22no—
1619C4—22no—
1620C4—22no—
1621C4—22no—
1622C4—22no—
1623C4—41no—
1624C4—41no—
1625C4—41no—
1626C4—41no—
1627C4—41no—
1628C4—41no—
1629C4—342no—
1630C4—342no—
1631C4—342no—
1632C4—342no—
1633C4—681no—
1634C4—681no—
1635C4—681no—
1636C4—681no—
1637C4—681no—
1638C4—681no—
1639C4—681no—
1640C2—42no—
1641C2—682no—
1642C2—682no—
1643C2—682no—
1644C2—682no—
1645C2—682no—
1646C2#1454199011yescharacteristic
1647C2C4×#1058769611yescharacteristic
1648C2C4×#1058769611yescharacteristic
1649C2#1454295011yescharacteristic
1650C2#1454302011yescharacteristic
1651C2#1454336511yescharacteristic
1652C2#1454337911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D17
commutatorC22×C17C24×C4
FittingC17×#2373C2
socle, cosocleC23×C17C25
prime radicalC2×#11763550C2
hypercenter#2373D17
hypocenterC17#34518
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C23 ◁ #2373

Complements

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

NH ≅ G/Ntype
2. #14531940C2semidirect
3. #14531939C2semidirect
4. #14531931C2semidirect
5. #14531916C2semidirect
6. #14531913C2semidirect
7. #14531904C2semidirect
8. #14531848C2semidirect
9. #14531802C2semidirect
10. #14531799C2semidirect
11. #14531797C2semidirect
12. #14531797C2semidirect
13. #14531766C2semidirect
14. #14531766C2semidirect
15. #14531762C2semidirect
16. #14531563C2semidirect
17. #14531559C2semidirect
18. #14531548C2semidirect
19. #14531548C2semidirect
20. #14531544C2semidirect
21. #14531544C2semidirect
22. #14531509C2semidirect
23. #14531457C2semidirect
24. #14531448C2semidirect
25. #14531446C2semidirect
26. #14531441C2semidirect
27. #14531437C2semidirect
28. C4×#10587580C2semidirect
29. C4×#10587581C2semidirect
30. #14531296C2semidirect
31. C17×#2373C2semidirect
32. #11763550C4semidirect
51. C2×C4×D68C22semidirect
52. C2×C4×D68C22semidirect
55. C2×#10587579C22semidirect
59. C2×C4⋊C4×D17C22semidirect
60. C2×C4⋊C4×D17C22semidirect
64. C2×C42×D17C22semidirect
68. #11762711C22semidirect
69. #11762711C22semidirect
73. #11762710C22semidirect
77. #11762708C22semidirect
78. #11762708C22semidirect
79. #11762706C22semidirect
80. #11762706C22semidirect
81. #11762704C22semidirect
88. #11762701C22semidirect
89. #11762701C22semidirect
93. #11762700C22semidirect
97. #11762699C22semidirect
101. #11762698C22semidirect
102. #11762698C22semidirect
103. #11762696C22semidirect
104. #11762696C22semidirect
105. #11762695C22semidirect
106. #11762695C22semidirect
107. #11762695C22semidirect
108. #11762693C22semidirect
109. #11762693C22semidirect
110. #11762691C22semidirect
111. #11762690C22semidirect
127. #11762687C22semidirect
128. #11762687C22semidirect
129. #11762687C22semidirect
130. #11762687C22semidirect
131. #11762687C22semidirect
132. #11762687C22semidirect
142. #11762683C22semidirect
145. #11762680C22semidirect
146. #11762680C22semidirect
147. #11762675C22semidirect
148. #11762671C22semidirect
149. #11762671C22semidirect
150. #11762671C22semidirect
151. #11762668C22semidirect
152. #11762666C22semidirect
154. C4⋊C4×Dic17C22semidirect
155. C4×#63225C22semidirect
156. C4×#63225C22semidirect
157. C4×C4⋊Dic17C22semidirect
158. #11762660C22semidirect
164. C4×#63227C22semidirect
165. C4×#63227C22semidirect
166. C4×#63227C22semidirect
167. C4×#63227C22semidirect
170. #11762656C22semidirect
171. #11762656C22semidirect
172. #11762656C22semidirect
174. C17×#389C22semidirect
178. C17×#387C22semidirect
179. C17×#387C22semidirect
180. C17×#387C22semidirect
182. C4×C4⋊C4×C17C22semidirect
183. C4×C4⋊C4×C17C22semidirect
184. C4×C4⋊C4×C17C22semidirect
187. C17×#376C22semidirect
216. C17×#126C2×C4semidirect
309. #10587581C2×C4semidirect
310. #10587581C2×C4semidirect
311. #10587581C2×C4semidirect
312. #10587580C2×C4semidirect
313. #10587580C2×C4semidirect
314. #10587580C2×C4semidirect
320. #10587570C2×C4semidirect
321. #10587570C2×C4semidirect
322. #10587570C2×C4semidirect
323. #10587568C2×C4semidirect
324. #10587568C2×C4semidirect
325. #10587568C2×C4semidirect
331. #10587562C2×C4semidirect
332. #10587560C2×C4semidirect
746. #2373D17semidirect
896. #389C2×D17semidirect
930. #387C2×D17semidirect
931. #387C2×D17semidirect
932. #387C2×D17semidirect
981. C4×C4⋊C4C2×D17semidirect
982. C4×C4⋊C4C2×D17semidirect
983. C4×C4⋊C4C2×D17semidirect
1000. #376C2×D17semidirect
1044. #126C4×D17semidirect
1202. C17#34518semidirect

Maximal subgroups

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

subgroupindex
C2×#117635502
#145319402
#145319392
#145319312
#145319162
#145319132
#145319042
#145318482
#145318022
#145317992
#145317972
#145317662
#145317622
#145315632
#145315592
#145315482
#145315442
#145315092
#145314572
#145314482
#145314462
#145314412
#145314372
C4×#105875802
C4×#105875812
#145312962
C17×#23732
#3451817