Finite Group Databasebeta

← #17242650

Subgroups — #17242650

Order 4352.

2454 conjugacy classes of subgroups.

The subgroup lattice has 1786 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#14537075C211yesmaximal, characteristic, complemented
2#14537063C211yesmaximal, characteristic, complemented
3#14536406C211yesmaximal, characteristic, complemented
4#14536404C211yesmaximal, characteristic, complemented
5#14536160C211yesmaximal, characteristic, complemented
6#14536016C211yesmaximal, characteristic, complemented
7#14536009C211yesmaximal, characteristic, complemented
8#14536006C211yesmaximal, characteristic, complemented
9#14535930C211yesmaximal, characteristic, complemented
10#14535433C211yesmaximal, characteristic, complemented
11#14535347C211yesmaximal, characteristic, complemented
12#14535336C211yesmaximal, characteristic, complemented
13#14535216C211yesmaximal, characteristic, complemented
14#14535215C211yesmaximal, characteristic, complemented
15#14535162C211yesmaximal, characteristic, complemented
16#14535105C211yesmaximal, characteristic, complemented
17#14535079C211yesmaximal, characteristic, complemented
18#14534736C211yesmaximal, characteristic, complemented
19#14534715C211yesmaximal, characteristic, complemented
20#14533337C211yesmaximal, characteristic, complemented
21#14532905C211yesmaximal, characteristic, complemented
22#14532531C211yesmaximal, characteristic, complemented
23#14532451C211yesmaximal, characteristic, complemented
24#14532317C211yesmaximal, characteristic, complemented
25#14532154C211yesmaximal, characteristic, complemented
26#14532151C211yesmaximal, characteristic, complemented
27#14532095C211yesmaximal, characteristic, complemented
28#14531440C211yesmaximal, characteristic, complemented
29#14531360C211yesmaximal, characteristic, complemented
30D17×#386C211yesmaximal, characteristic, complemented
31C17×#2668C211yesmaximal, characteristic, complemented
32C23×C22⋊D17C2211yescharacteristic
33C22×D4×D17C2211yescharacteristic
34C23×C4×D17C2211yescharacteristic, complemented
35C2×#10587622C2211yescharacteristic, complemented
36C2×#10587569C2211yescharacteristic, complemented
37C2×#10587569C2211yescharacteristic, complemented
38C2×#10587582C2211yescharacteristic, complemented
39C2×#10587582C2211yescharacteristic, complemented
40C2×#10587570C2211yescharacteristic, complemented
41C2×#10587624C2211yescharacteristic
42C2×#10587624C2211yescharacteristic
43C2×#10587624C2211yescharacteristic, complemented
44C2×#10587624C2211yescharacteristic, complemented
45C2×#10587639C2211yescharacteristic
46C2×#10587623C2211yescharacteristic
47C2×#10587623C2211yescharacteristic
48C2×#10587623C2211yescharacteristic
49C2×#10587623C2211yescharacteristic, complemented
50C2×C4×C22⋊D17C2211yescharacteristic, complemented
51C2×C22⋊C4×D17C2211yescharacteristic
52C2×C22⋊C4×D17C2211yescharacteristic
53C2×C22⋊C4×D17C2211yescharacteristic
54C2×C22⋊C4×D17C2211yescharacteristic, complemented
55C17⋊#401C2211yescharacteristic, complemented
56C17⋊#401C2211yescharacteristic, complemented
57#11762751C2211yescharacteristic, complemented
58#11762751C2211yescharacteristic, complemented
59#11762751C2211yescharacteristic, complemented
60#11762750C2211yescharacteristic, complemented
61#11762749C2211yescharacteristic, complemented
62#11762748C2211yescharacteristic, complemented
63#11762748C2211yescharacteristic, complemented
64#11762737C2211yescharacteristic, complemented
65#11762737C2211yescharacteristic, complemented
66#11762737C2211yescharacteristic, complemented
67#11762737C2211yescharacteristic, complemented
68#11762737C2211yescharacteristic, complemented
69#11762734C2211yescharacteristic, complemented
70#11762734C2211yescharacteristic, complemented
71#11762734C2211yescharacteristic, complemented
72#11762732C2211yescharacteristic, complemented
73#11762732C2211yescharacteristic, complemented
74#11762732C2211yescharacteristic, complemented
75#11762731C2211yescharacteristic, complemented
76#11762725C2211yescharacteristic
77#11762725C2211yescharacteristic, complemented
78#11762725C2211yescharacteristic, complemented
79#11762724C2211yescharacteristic, complemented
80#11762723C2211yescharacteristic
81#11762723C2211yescharacteristic, complemented
82#11762723C2211yescharacteristic, complemented
83#11762723C2211yescharacteristic, complemented
84#11762723C2211yescharacteristic, complemented
85#11762722C2211yescharacteristic, complemented
86#11762721C2211yescharacteristic, complemented
87#11762721C2211yescharacteristic, complemented
88#11762721C2211yescharacteristic, complemented
89#11762718C2211yescharacteristic
90#11762718C2211yescharacteristic
91#11762717C2211yescharacteristic
92#11762717C2211yescharacteristic
93#11762717C2211yescharacteristic
94#11762717C2211yescharacteristic, complemented
95#11762717C2211yescharacteristic, complemented
96#11762717C2211yescharacteristic, complemented
97#11762712C2211yescharacteristic, complemented
98#11762709C2211yescharacteristic, complemented
99#11762709C2211yescharacteristic, complemented
100#11762709C2211yescharacteristic, complemented
101#11762702C2211yescharacteristic, complemented
102#11762702C2211yescharacteristic, complemented
103#11762702C2211yescharacteristic, complemented
104#11762701C2211yescharacteristic, complemented
105#11762699C2211yescharacteristic, complemented
106#11762698C2211yescharacteristic, complemented
107#11762697C2211yescharacteristic, complemented
108#11762697C2211yescharacteristic, complemented
109#11762697C2211yescharacteristic, complemented
110#11762697C2211yescharacteristic, complemented
111#11762696C2211yescharacteristic, complemented
112#11762695C2211yescharacteristic, complemented
113#11762689C2211yescharacteristic
114#11762689C2211yescharacteristic
115#11762689C2211yescharacteristic, complemented
116#11762689C2211yescharacteristic, complemented
117#11762689C2211yescharacteristic, complemented
118#11762689C2211yescharacteristic, complemented
119#11762688C2211yescharacteristic, complemented
120#11762688C2211yescharacteristic, complemented
121#11762688C2211yescharacteristic, complemented
122#11762687C2211yescharacteristic, complemented
123#11762687C2211yescharacteristic, complemented
124#11762687C2211yescharacteristic, complemented
125#11762686C2211yescharacteristic
126#11762686C2211yescharacteristic, complemented
127#11762685C2211yescharacteristic
128#11762685C2211yescharacteristic
129#11762685C2211yescharacteristic
130#11762685C2211yescharacteristic
131#11762685C2211yescharacteristic
132#11762685C2211yescharacteristic
133#11762685C2211yescharacteristic
134#11762685C2211yescharacteristic
135#11762685C2211yescharacteristic
136#11762685C2211yescharacteristic
137#11762685C2211yescharacteristic, complemented
138#11762685C2211yescharacteristic, complemented
139#11762685C2211yescharacteristic, complemented
140#11762685C2211yescharacteristic, complemented
141#11762685C2211yescharacteristic, complemented
142#11762685C2211yescharacteristic, complemented
143#11762685C2211yescharacteristic, complemented
144#11762685C2211yescharacteristic, complemented
145#11762685C2211yescharacteristic, complemented
146#11762684C2211yescharacteristic, complemented
147#11762684C2211yescharacteristic, complemented
148#11762683C2211yescharacteristic, complemented
149#11762683C2211yescharacteristic, complemented
150#11762683C2211yescharacteristic, complemented
151#11762683C2211yescharacteristic, complemented
152#11762682C2211yescharacteristic, complemented
153#11762680C2211yescharacteristic, complemented
154#11762680C2211yescharacteristic, complemented
155#11762676C2211yescharacteristic, complemented
156#11762672C2211yescharacteristic, complemented
157#11762671C2211yescharacteristic, complemented
158#11762671C2211yescharacteristic, complemented
159#11762670C2211yescharacteristic, complemented
160#11762670C2211yescharacteristic, complemented
161#11762669C2211yescharacteristic, complemented
162#11762666C2211yescharacteristic, complemented
163#11762666C2211yescharacteristic, complemented
164#11762666C2211yescharacteristic, complemented
165#11762665C2211yescharacteristic, complemented
166#11762665C2211yescharacteristic, complemented
167#11762664C2211yescharacteristic
168#11762664C2211yescharacteristic, complemented
169#11762656C2211yescharacteristic, complemented
170#95×D17C2211yescharacteristic, complemented
171#95×D17C2211yescharacteristic, complemented
172C2×C17×#121C2211yescharacteristic, complemented
173C2×C17×#121C2211yescharacteristic, complemented
174C2×C17×#120C2211yescharacteristic
175C2×C17×#120C2211yescharacteristic, complemented
176C17×#399C2211yescharacteristic, complemented
177C17×#397C2211yescharacteristic, complemented
178C17×#397C2211yescharacteristic, complemented
179C17×#394C2211yescharacteristic, complemented
180C17×#394C2211yescharacteristic, complemented
181C17×#392C2211yescharacteristic
182C17×#386C2211yescharacteristic
183C17×#386C2211yescharacteristic, complemented
184C17×#386C2211yescharacteristic, complemented
185C17×#386C2211yescharacteristic, complemented
186C17×#379C2211yescharacteristic, complemented
187C25×C17C2311yescharacteristic
188C24×D17C2311yescharacteristic
189C24×D17C2311yescharacteristic
190C22×D4×C17C2311yescharacteristic
191C22×D4×C17C2311yescharacteristic
192C22×D4×C17C2311yescharacteristic
193C22×D4×C17C2311yescharacteristic
194C22×D4×C17C2311yescharacteristic
195C22×D4×C17C2311yescharacteristic
196C22×D4×C17C2311yescharacteristic
197C23×C4×C17C2311yescharacteristic
198C23×C4×C17C2311yescharacteristic
199C22×C22⋊D17—24no—
200C22×C22⋊D17—42no—
201C22×C22⋊D17—42no—
202C22×C22⋊D17C2311yescharacteristic
203C22×C22⋊D17C2311yescharacteristic
204C22×C22⋊D17C2311yescharacteristic
205C22×C22⋊D17C2311yescharacteristic
206C22×C22⋊D17C2311yescharacteristic
207C22×C22⋊D17C2311yescharacteristic
208C22×C22⋊D17C2311yescharacteristic
209C22×C22⋊D17C2311yescharacteristic
210C22×C22⋊D17C2311yescharacteristic
211C22×C22⋊D17C2311yescharacteristic
212C22×C22⋊D17C2311yescharacteristic
213C23×Dic17C2311yescharacteristic
214C23×Dic17C2311yescharacteristic
215C2×D4×D17—24no—
216C2×D4×D17—42no—
217C2×D4×D17—42no—
218C22×D68C2311yescharacteristic
219C22×C4×D17—42no—
220C22×C4×D17—42no—
221C22×C4×D17—42no—
222C22×C4×D17C2311yescharacteristic
223C22×C4×D17C2311yescharacteristic
224C22×C4×D17C2311yescharacteristic
225C22×C4×D17C2311yescharacteristic
226C22×C4×D17C2311yescharacteristic
227C22×C4×D17C2311yescharacteristic
228C22×C4×D17C2311yescharacteristic
229C22×C4×D17C2311yescharacteristic
230C22×C4×D17C2311yescharacteristic
231C22×Dic34C2311yescharacteristic
232C17×#121—42no—
233C17×#121—42no—
234C17×#120—42no—
235C17×#120—42no—
236C2×C4⋊C4×C17C2311yescharacteristic
237C2×C4⋊C4×C17C2311yescharacteristic
238C2×C4⋊C4×C17C2311yescharacteristic
239C2×C22⋊C4×C17C2311yescharacteristic
240C2×C22⋊C4×C17C2311yescharacteristic
241C2×C22⋊C4×C17C2311yescharacteristic
242C2×C22⋊C4×C17C2311yescharacteristic
243C2×C22⋊C4×C17C2311yescharacteristic
244C2×C22⋊C4×C17C2311yescharacteristic
245C2×C22⋊C4×C17C2311yescharacteristic
246C2×C22⋊C4×C17C2311yescharacteristic
247C2×C22⋊C4×C17C2311yescharacteristic
248C2×C22⋊C4×C17C2311yescharacteristic
249C2×C22⋊C4×C17C2311yescharacteristic
250C2×C22⋊C4×C17C2311yescharacteristic
251C2×C22⋊C4×C17C2311yescharacteristic
252C2×C22⋊C4×C17C2311yescharacteristic
253C2×C22⋊C4×C17C2311yescharacteristic
254C2×C22⋊C4×C17C2311yescharacteristic
255#10587639—42no—
256C2×C22⋊Dic17C2311yescharacteristic
257C2×C22⋊Dic17C2311yescharacteristic
258C2×C22⋊Dic17C2311yescharacteristic
259C2×C22⋊Dic17C2311yescharacteristic
260C2×C22⋊Dic17C2311yescharacteristic
261C2×C22⋊Dic17C2311yescharacteristic
262C2×C22⋊Dic17C2311yescharacteristic
263C2×C22⋊Dic17C2311yescharacteristic
264C2×C22⋊Dic17C2311yescharacteristic
265C2×C22⋊Dic17C2311yescharacteristic
266C2×C22⋊Dic17C2311yescharacteristic
267C2×C22⋊Dic17C2311yescharacteristic
268C2×C22⋊Dic17C2311yescharacteristic
269C2×C22⋊Dic17C2311yescharacteristic
270C2×C22⋊Dic17C2311yescharacteristic
271C2×C22⋊Dic17C2311yescharacteristic
272C2×C22⋊Dic17C2311yescharacteristic
273C2×C22⋊Dic17C2311yescharacteristic
274C2×C22⋊Dic17C2311yescharacteristic
275C2×C22⋊Dic17C2311yescharacteristic
276C2×C22⋊Dic17C2311yescharacteristic
277C2×C22⋊Dic17C2311yescharacteristic
278C2×C22⋊Dic17C2311yescharacteristic
279C2×C22⋊Dic17C2311yescharacteristic
280C2×C22⋊Dic17C2311yescharacteristic
281#10587624—42no—
282#10587624—42no—
283#10587624—42no—
284#10587624—42no—
285#10587623—24no—
286#10587623—42no—
287#10587623—42no—
288#10587623—42no—
289#10587622—42no—
290C4×C22⋊D17—42no—
291C2×#63227C2311yescharacteristic
292C2×#63227C2311yescharacteristic
293C2×#63227C2311yescharacteristic
294C2×#63227C2311yescharacteristic
295C2×#63227C2311yescharacteristic
296C2×#63227C2311yescharacteristic
297C2×#63227C2311yescharacteristic
298C2×#63227C2311yescharacteristic
299C2×#63227C2311yescharacteristic
300C2×#63227C2311yescharacteristic
301C2×#63227C2311yescharacteristic
302C2×#63227C2311yescharacteristic
303C2×#63227C2311yescharacteristic
304C2×#63227C2311yescharacteristic
305C2×#63227C2311yescharacteristic
306C2×#63227C2311yescharacteristic
307C2×#63227C2311yescharacteristic
308C2×#63227C2311yescharacteristic
309C2×#63227C2311yescharacteristic
310C2×C4⋊Dic17C2311yescharacteristic
311C2×C4⋊Dic17C2311yescharacteristic
312C2×C4⋊Dic17C2311yescharacteristic
313C2×C4⋊Dic17C2311yescharacteristic
314C2×C4⋊Dic17C2311yescharacteristic
315C2×C4⋊Dic17C2311yescharacteristic
316C2×#63225C2311yescharacteristic
317C2×#63225C2311yescharacteristic
318C2×#63225C2311yescharacteristic
319C2×#63225C2311yescharacteristic
320C2×#63225C2311yescharacteristic
321C2×#63225C2311yescharacteristic
322C2×#63225C2311yescharacteristic
323C2×C4×Dic17C2311yescharacteristic
324C2×C4×Dic17C2311yescharacteristic
325C2×C4×Dic17C2311yescharacteristic
326#10587582—42no—
327#10587582—42no—
328#10587570—42no—
329#10587569—42no—
330#10587569—42no—
331C22⋊C4×D17—42no—
332C22⋊C4×D17—42no—
333C22⋊C4×D17—42no—
334C22⋊C4×D17—42no—
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
369#10587502C2311yescharacteristic
370#10587502C2311yescharacteristic
371#10587502C2311yescharacteristic
372#10587502C2311yescharacteristic
373#10587502C2311yescharacteristic
374#10587502C2311yescharacteristic
375C24×C17—22no—
376C24×C17—41no—
377C24×C17—41no—
378C24×C17—41no—
379C24×C17—41no—
380C24×C17—41no—
381C24×C17—41no—
382C24×C17C2411yescharacteristic
383C24×C17C2411yescharacteristic
384C24×C17C2411yescharacteristic
385C24×C17C2411yescharacteristic
386C24×C17C2411yescharacteristic
387C23×D17—22no—
388C23×D17—22no—
389C23×D17—22no—
390C23×D17—22no—
391C23×D17—22no—
392C23×D17—22no—
393C23×D17—22no—
394C23×D17—41no—
395C23×D17—41no—
396C23×D17—41no—
397C23×D17—41no—
398C23×D17—41no—
399C23×D17—41no—
400C23×D17#4114yes—
401C23×D17C2411yescharacteristic
402C23×D17C2411yescharacteristic
403C23×D17C2411yescharacteristic
404C2×D4×C17—22no—
405C2×D4×C17—22no—
406C2×D4×C17—22no—
407C2×D4×C17—22no—
408C2×D4×C17—22no—
409C2×D4×C17—22no—
410C2×D4×C17—22no—
411C2×D4×C17—41no—
412C2×D4×C17—41no—
413C2×D4×C17—41no—
414C2×D4×C17—41no—
415C2×D4×C17—41no—
416C2×D4×C17—41no—
417C2×D4×C17—41no—
418C2×D4×C17—41no—
419C2×D4×C17—41no—
420C2×D4×C17—41no—
421C2×D4×C17—41no—
422C2×D4×C17—41no—
423C2×D4×C17—41no—
424C2×D4×C17—41no—
425C22×C4×C17—22no—
426C22×C4×C17—41no—
427C22×C4×C17—41no—
428C22×C4×C17—41no—
429C22×C4×C17—41no—
430C22×C4×C17—41no—
431C22×C4×C17C2411yescharacteristic
432C22×C4×C17C2411yescharacteristic
433C22×C4×C17C2411yescharacteristic
434C22×C4×C17C2411yescharacteristic
435C22×C4×C17C2411yescharacteristic
436C22×C4×C17C2411yescharacteristic
437C22×C4×C17C2411yescharacteristic
438C22×C4×C17C2411yescharacteristic
439C22×C4×C17C2411yescharacteristic
440C22×C4×C17C2411yescharacteristic
441C2×C22⋊D17—22no—
442C2×C22⋊D17—22no—
443C2×C22⋊D17—22no—
444C2×C22⋊D17—22no—
445C2×C22⋊D17—22no—
446C2×C22⋊D17—22no—
447C2×C22⋊D17—22no—
448C2×C22⋊D17—22no—
449C2×C22⋊D17—22no—
450C2×C22⋊D17—22no—
451C2×C22⋊D17—22no—
452C2×C22⋊D17—22no—
453C2×C22⋊D17—22no—
454C2×C22⋊D17—22no—
455C2×C22⋊D17—22no—
456C2×C22⋊D17—22no—
457C2×C22⋊D17—22no—
458C2×C22⋊D17—22no—
459C2×C22⋊D17—22no—
460C2×C22⋊D17—41no—
461C2×C22⋊D17—41no—
462C2×C22⋊D17—41no—
463C2×C22⋊D17—41no—
464C2×C22⋊D17—41no—
465C2×C22⋊D17—41no—
466C2×C22⋊D17—41no—
467C2×C22⋊D17—41no—
468C2×C22⋊D17—41no—
469C2×C22⋊D17—41no—
470C2×C22⋊D17—41no—
471C2×C22⋊D17—41no—
472C2×C22⋊D17—41no—
473C2×C22⋊D17—41no—
474C2×C22⋊D17—416no—
475C22×Dic17—22no—
476C22×Dic17—41no—
477C22×Dic17—41no—
478C22×Dic17—41no—
479C22×Dic17—41no—
480C22×Dic17—41no—
481C22×Dic17C2411yescharacteristic
482C22×Dic17C2411yescharacteristic
483C22×Dic17C2411yescharacteristic
484C22×Dic17C2411yescharacteristic
485C22×Dic17C2411yescharacteristic
486C22×Dic17C2411yescharacteristic
487C22×Dic17C2411yescharacteristic
488C22×Dic17C2411yescharacteristic
489C22×Dic17C2411yescharacteristic
490C22×Dic17C2411yescharacteristic
491C22×Dic17C2411yescharacteristic
492C22×Dic17C2411yescharacteristic
493C22×Dic17C2411yescharacteristic
494D4×D17—416no—
495C2×D68—22no—
496C2×D68—22no—
497C2×D68—41no—
498C2×C4×D17—22no—
499C2×C4×D17—22no—
500C2×C4×D17—22no—
501C2×C4×D17—22no—
502C2×C4×D17—22no—
503C2×C4×D17—22no—
504C2×C4×D17—22no—
505C2×C4×D17—22no—
506C2×C4×D17—22no—
507C2×C4×D17—41no—
508C2×C4×D17—41no—
509C2×C4×D17—41no—
510C2×C4×D17—41no—
511C2×C4×D17—41no—
512C2×C4×D17—41no—
513C2×C4×D17—41no—
514C2×C4×D17—41no—
515C2×C4×D17—416no—
516C2×C4×D17—41no—
517C2×C4×D17—41no—
518C2×C4×D17—41no—
519C2×C4×D17—41no—
520C2×C4×D17—41no—
521C2×C4×D17—41no—
522C2×C4×D17—41no—
523C2×C4×D17—41no—
524C2×C4×D17—41no—
525C2×C4×D17—41no—
526C2×Dic34—41no—
527C2×Dic34—41no—
528C2×Dic34—41no—
529C4⋊C4×C17—22no—
530C4⋊C4×C17—41no—
531C4⋊C4×C17—41no—
532C22⋊C4×C17—22no—
533C22⋊C4×C17—22no—
534C22⋊C4×C17—22no—
535C22⋊C4×C17—41no—
536C22⋊C4×C17—41no—
537C22⋊C4×C17—41no—
538C22⋊C4×C17—41no—
539C22⋊C4×C17—41no—
540C22⋊C4×C17—41no—
541C22⋊C4×C17—41no—
542C22⋊C4×C17—41no—
543C22⋊C4×C17—41no—
544C22⋊C4×C17—41no—
545C22⋊C4×C17—41no—
546C22⋊C4×C17—41no—
547C22⋊C4×C17—41no—
548C22⋊Dic17—22no—
549C22⋊Dic17—22no—
550C22⋊Dic17—22no—
551C22⋊Dic17—41no—
552C22⋊Dic17—41no—
553C22⋊Dic17—41no—
554C22⋊Dic17—41no—
555C22⋊Dic17—41no—
556C22⋊Dic17—41no—
557C22⋊Dic17—41no—
558C22⋊Dic17—41no—
559C22⋊Dic17—41no—
560C22⋊Dic17—41no—
561C22⋊Dic17—41no—
562C22⋊Dic17—41no—
563C22⋊Dic17—41no—
564C22⋊Dic17—41no—
565C22⋊Dic17—41no—
566C22⋊Dic17—41no—
567C22⋊Dic17—41no—
568C22⋊Dic17—41no—
569C22⋊Dic17—41no—
570C22⋊Dic17—41no—
571C22⋊Dic17—41no—
572C22⋊Dic17—41no—
573#63227—22no—
574#63227—22no—
575#63227—22no—
576#63227—22no—
577#63227—22no—
578#63227—22no—
579#63227—22no—
580#63227—22no—
581#63227—41no—
582#63227—41no—
583#63227—41no—
584#63227—41no—
585#63227—41no—
586#63227—41no—
587#63227—41no—
588#63227—41no—
589#63227—41no—
590#63227—41no—
591#63227—41no—
592C4⋊Dic17—41no—
593C4⋊Dic17—41no—
594C4⋊Dic17—41no—
595C4⋊Dic17—41no—
596C4⋊Dic17—41no—
597C4⋊Dic17—41no—
598#63225—22no—
599#63225—41no—
600#63225—41no—
601#63225—41no—
602#63225—41no—
603#63225—41no—
604#63225—41no—
605C4×Dic17—41no—
606C4×Dic17—41no—
607C4×Dic17—41no—
608#36776—171nomaximal, Sylow
609C23×C17—21no—
610C23×C17—21no—
611C23×C17—21no—
612C23×C17—21no—
613C23×C17—21no—
614C23×C17—21no—
615C23×C17—21no—
616C23×C17—21no—
617C23×C17—21no—
618C23×C17—21no—
619C23×C17—21no—
620C23×C17—21no—
621C23×C17—21no—
622C23×C17—21no—
623C23×C17—21no—
624C23×C17—21no—
625C23×C17—21no—
626C23×C17—21no—
627C23×C17—21no—
628C23×C17—21no—
629C23×C17—21no—
630C23×C17—21no—
631C23×C17—21no—
632C23×C17—21no—
633C23×C17—21no—
634C23×C17—21no—
635C23×C17—21no—
636C23×C17—21no—
637C23×C17—21no—
638C23×C17—21no—
639C23×C17—21no—
640C23×C17—21no—
641C23×C17—21no—
642C23×C17—44no—
643C23×C17—82no—
644C23×C17—82no—
645C23×C17—82no—
646C23×C17—82no—
647C23×C17—82no—
648C23×C17—82no—
649C23×C17C2×#4112yes—
650C23×C17H(5,𝔽2)12yes—
651C23×C17C2511yescharacteristic
652C22×D17—21no—
653C22×D17—21no—
654C22×D17—21no—
655C22×D17—21no—
656C22×D17—28no—
657C22×D17—21no—
658C22×D17—21no—
659C22×D17—21no—
660C22×D17—21no—
661C22×D17—21no—
662C22×D17—21no—
663C22×D17—21no—
664C22×D17—21no—
665C22×D17—21no—
666C22×D17—21no—
667C22×D17—21no—
668C22×D17—21no—
669C22×D17—28no—
670C22×D17—44no—
671C22×D17—44no—
672C22×D17—44no—
673C22×D17—44no—
674C22×D17—44no—
675C22×D17—44no—
676C22×D17—44no—
677C22×D17—44no—
678C22×D17—82no—
679C22×D17—82no—
680C22×D17—82no—
681C22×D17—82no—
682C22×D17C2×#4112yes—
683C22×D17C2×#4112yes—
684C22×D17H(5,𝔽2)12yes—
685C22×D17H(5,𝔽2)12yes—
686C22×D17H(5,𝔽2)12yes—
687D4×C17—44no—
688D4×C17—82no—
689D4×C17—82no—
690D4×C17—82no—
691D4×C17—82no—
692D4×C17—82no—
693D4×C17—82no—
694C2×C4×C17—21no—
695C2×C4×C17—21no—
696C2×C4×C17—21no—
697C2×C4×C17—21no—
698C2×C4×C17—21no—
699C2×C4×C17—21no—
700C2×C4×C17—21no—
701C2×C4×C17—21no—
702C2×C4×C17—21no—
703C2×C4×C17—21no—
704C2×C4×C17—21no—
705C2×C4×C17—21no—
706C2×C4×C17—21no—
707C2×C4×C17—21no—
708C2×C4×C17—21no—
709C2×C4×C17—21no—
710C2×C4×C17—21no—
711C2×C4×C17—21no—
712C2×C4×C17—21no—
713C2×C4×C17—21no—
714C2×C4×C17—21no—
715C2×C4×C17—21no—
716C2×C4×C17—21no—
717C2×C4×C17—21no—
718C2×C4×C17—21no—
719C2×C4×C17—21no—
720C2×C4×C17—21no—
721C2×C4×C17—21no—
722C2×C4×C17—21no—
723C2×C4×C17—44no—
724C2×C4×C17—82no—
725C2×C4×C17H(5,𝔽2)12yes—
726C22⋊D17—44no—
727C22⋊D17—44no—
728C22⋊D17—44no—
729C22⋊D17—44no—
730C22⋊D17—44no—
731C22⋊D17—44no—
732C22⋊D17—44no—
733C22⋊D17—82no—
734C22⋊D17—82no—
735C22⋊D17—82no—
736C22⋊D17—82no—
737C2×Dic17—21no—
738C2×Dic17—21no—
739C2×Dic17—21no—
740C2×Dic17—21no—
741C2×Dic17—21no—
742C2×Dic17—21no—
743C2×Dic17—21no—
744C2×Dic17—21no—
745C2×Dic17—21no—
746C2×Dic17—21no—
747C2×Dic17—21no—
748C2×Dic17—21no—
749C2×Dic17—21no—
750C2×Dic17—21no—
751C2×Dic17—21no—
752C2×Dic17—21no—
753C2×Dic17—21no—
754C2×Dic17—21no—
755C2×Dic17—21no—
756C2×Dic17—21no—
757C2×Dic17—21no—
758C2×Dic17—21no—
759C2×Dic17—21no—
760C2×Dic17—21no—
761C2×Dic17—21no—
762C2×Dic17—21no—
763C2×Dic17—21no—
764C2×Dic17—21no—
765C2×Dic17—21no—
766C2×Dic17—21no—
767C2×Dic17—21no—
768C2×Dic17—21no—
769C2×Dic17—21no—
770C2×Dic17—21no—
771C2×Dic17—21no—
772C2×Dic17—21no—
773C2×Dic17—21no—
774C2×Dic17—21no—
775C2×Dic17—21no—
776C2×Dic17—44no—
777C2×Dic17—44no—
778D68—44no—
779C4×D17—44no—
780C4×D17—44no—
781C4×D17—44no—
782C4×D17—44no—
783C4×D17—44no—
784C4×D17—82no—
785C4×D17—82no—
786C4×D17—82no—
787C4×D17—82no—
788Dic34—82no—
789#2849—171no—
790#2847—171no—
791#2778—171no—
792#2778—171no—
793#2760—171no—
794#2750—171no—
795#2749—171no—
796#2749—171no—
797#2743—171no—
798#2703—171no—
799#2697—171no—
800#2696—171no—
801#2688—171no—
802#2688—171no—
803#2684—171no—
804#2678—171no—
805#2676—171no—
806#2668D1711yescharacteristic, complemented
807#2643—171no—
808#2639—171no—
809#2510—171no—
810#2472—171no—
811#2444—171no—
812#2437—171no—
813#2424—171no—
814#2410—171no—
815#2410—171no—
816#2403—171no—
817#2321—171no—
818#2308—171no—
819C2×#386—171no—
820C22×C17—22no—
821C22×C17—22no—
822C22×C17—22no—
823C22×C17—22no—
824C22×C17—22no—
825C22×C17—22no—
826C22×C17—41no—
827C22×C17—41no—
828C22×C17—41no—
829C22×C17—41no—
830C22×C17—41no—
831C22×C17—41no—
832C22×C17—41no—
833C22×C17—41no—
834C22×C17—41no—
835C22×C17—41no—
836C22×C17—41no—
837C22×C17—41no—
838C22×C17—41no—
839C22×C17—41no—
840C22×C17—41no—
841C22×C17—41no—
842C22×C17—41no—
843C22×C17—41no—
844C22×C17—41no—
845C22×C17—41no—
846C22×C17—41no—
847C22×C17—41no—
848C22×C17—41no—
849C22×C17—41no—
850C22×C17—41no—
851C22×C17—41no—
852C22×C17—41no—
853C22×C17—41no—
854C22×C17—41no—
855C22×C17—88no—
856C22×C17C22×#4111yescharacteristic
857C22×C17C2×H(5,𝔽2)11yescharacteristic
858C22×C17C2×H(5,𝔽2)11yescharacteristic
859C22×C17C2×H(5,𝔽2)11yescharacteristic
860C22×C17C2×H(5,𝔽2)11yescharacteristic
861C22×C17C2×H(5,𝔽2)11yescharacteristic
862C22×C17#58511yescharacteristic
863C2×D17—22no—
864C2×D17—22no—
865C2×D17—22no—
866C2×D17—22no—
867C2×D17—22no—
868C2×D17—22no—
869C2×D17—22no—
870C2×D17—22no—
871C2×D17—22no—
872C2×D17—22no—
873C2×D17—22no—
874C2×D17—22no—
875C2×D17—416no—
876C2×D17—41no—
877C2×D17—41no—
878C2×D17—41no—
879C2×D17—41no—
880C2×D17—41no—
881C2×D17—41no—
882C2×D17—41no—
883C2×D17—41no—
884C2×D17—88no—
885C2×D17#53814yes—
886C4×C17—22no—
887C4×C17—41no—
888C4×C17—41no—
889C4×C17—41no—
890C4×C17—41no—
891C4×C17—41no—
892C4×C17—41no—
893C4×C17—41no—
894C4×C17—41no—
895C4×C17—41no—
896Dic17—41no—
897Dic17—41no—
898Dic17—41no—
899Dic17—41no—
900Dic17—41no—
901Dic17—41no—
902Dic17—41no—
903Dic17—41no—
904Dic17—41no—
905Dic17—41no—
906Dic17—41no—
907Dic17—41no—
908Dic17—41no—
909C23×D4—171no—
910C23×D4—171no—
911C24×C4—171no—
912C2×#124—171no—
913C2×#123—171no—
914C2×#123—171no—
915C2×C22⋊Q8—171no—
916C2×C22⋊Q8—171no—
917C2×#121—171no—
918C2×#121—171no—
919C2×#121—171no—
920C2×#121—171no—
921C2×#121—171no—
922C2×#121C2×D1711yescharacteristic, complemented
923C2×#121C2×D1711yescharacteristic, complemented
924C2×#120—171no—
925C2×#120—171no—
926C2×#120—171no—
927C2×#120—171no—
928C2×#120—171no—
929C2×#120C2×D1711yescharacteristic
930C2×#120C2×D1711yescharacteristic, complemented
931C2×C4×D4—171no—
932C22×C22⋊C4—171no—
933C22×C22⋊C4—171no—
934C22×C22⋊C4—171no—
935C22×C22⋊C4—171no—
936#401—171no—
937#401—171no—
938#400—171no—
939#400—171no—
940#400—171no—
941#400—171no—
942#400—171no—
943#400—171no—
944#400—171no—
945#399C2×D1711yescharacteristic, complemented
946#397—171no—
947#397—171no—
948#397—171no—
949#397—171no—
950#397—171no—
951#397—171no—
952#397—171no—
953#397—171no—
954#397C2×D1711yescharacteristic, complemented
955#397C2×D1711yescharacteristic, complemented
956#396—171no—
957#396—171no—
958#396—171no—
959#396—171no—
960#394—171no—
961#394—171no—
962#394—171no—
963#394—171no—
964#394—171no—
965#394—171no—
966#394—171no—
967#394—171no—
968#394—171no—
969#394C2×D1711yescharacteristic, complemented
970#394C2×D1711yescharacteristic, complemented
971#393—171no—
972#393—171no—
973#393—171no—
974#393—171no—
975#392—171no—
976#392—171no—
977#392—171no—
978#392—171no—
979#392—171no—
980#392—171no—
981#392—171no—
982#392—171no—
983#392C2×D1711yescharacteristic
984#390—171no—
985#390—171no—
986#390—171no—
987#390—171no—
988#388—171no—
989#388—171no—
990#388—171no—
991#388—171no—
992#388—171no—
993#388—171no—
994#388—171no—
995#388—171no—
996#388—171no—
997#388—171no—
998#387—171no—
999#387—171no—
1000#386—171no—
1001#386—171no—
1002#386—171no—
1003#386—171no—
1004#386—171no—
1005#386—171no—
1006#386—171no—
1007#386—171no—
1008#386—171no—
1009#386—171no—
1010#386—171no—
1011#386—171no—
1012#386—171no—
1013#386—171no—
1014#386—171no—
1015#386—171no—
1016#386—171no—
1017#386—171no—
1018#386—171no—
1019#386—171no—
1020#386—171no—
1021#386—171no—
1022#386—171no—
1023#386—171no—
1024#386—171no—
1025#386—171no—
1026#386—171no—
1027#386—171no—
1028#386—171no—
1029#386—171no—
1030#386—171no—
1031#386—171no—
1032#386—171no—
1033#386C2×D1711yescharacteristic
1034#386C2×D1711yescharacteristic, complemented
1035#386C2×D1711yescharacteristic, complemented
1036#386C2×D1711yescharacteristic, complemented
1037#385—171no—
1038#385—171no—
1039#385—171no—
1040#385—171no—
1041#385—171no—
1042#385—171no—
1043#385—171no—
1044#385—171no—
1045#385—171no—
1046#383—171no—
1047#381—171no—
1048#381—171no—
1049#381—171no—
1050#381—171no—
1051#381—171no—
1052#380—171no—
1053#380—171no—
1054#380—171no—
1055#380—171no—
1056#379—171no—
1057#379—171no—
1058#379—171no—
1059#379—171no—
1060#379C2×D1711yescharacteristic, complemented
1061C4×C22⋊C4—171no—
1062C2×#95—171no—
1063C2×#95—171no—
1064C2×C17—42no—
1065C2×C17—42no—
1066C2×C17—81no—
1067C2×C17—81no—
1068C2×C17—81no—
1069C2×C17C2×#53811yescharacteristic
1070C2×C17#349011yescharacteristic
1071C2×C17#350511yescharacteristic
1072C2×C17#353211yescharacteristic
1073C2×C17#353411yescharacteristic
1074C2×C17#353411yescharacteristic
1075C2×C17#353711yescharacteristic
1076D17—24no—
1077D17—42no—
1078D17—42no—
1079C25—171no—
1080C25—171no—
1081C25C22×D1711yescharacteristic
1082C22×Q8—171no—
1083C22×D4—171no—
1084C22×D4—171no—
1085C22×D4—171no—
1086C22×D4—171no—
1087C22×D4—171no—
1088C22×D4—171no—
1089C22×D4—171no—
1090C22×D4—171no—
1091C22×D4—171no—
1092C22×D4—171no—
1093C22×D4—171no—
1094C22×D4—171no—
1095C22×D4—344no—
1096C22×D4—344no—
1097C22×D4—682no—
1098C22×D4—682no—
1099C22×D4—682no—
1100C22×D4—682no—
1101C22×D4C22×D1711yescharacteristic
1102C22×D4C22×D1711yescharacteristic
1103C22×D4C22×D1711yescharacteristic
1104C22×D4C22×D1711yescharacteristic
1105C22×D4C22×D1711yescharacteristic
1106C22×D4C22×D1711yescharacteristic
1107C22×D4C22×D1711yescharacteristic
1108C23×C4—171no—
1109C23×C4—171no—
1110C23×C4—171no—
1111C23×C4—171no—
1112C23×C4—171no—
1113C23×C4—171no—
1114C23×C4—171no—
1115C23×C4—171no—
1116C23×C4—171no—
1117C23×C4—171no—
1118C23×C4—171no—
1119C23×C4—682no—
1120C23×C4—682no—
1121C23×C4—682no—
1122C23×C4C22×D1711yescharacteristic
1123C23×C4C22×D1711yescharacteristic
1124#124—682no—
1125#123—682no—
1126#123—682no—
1127C22⋊Q8—682no—
1128C22⋊Q8—682no—
1129#121—42no—
1130#121—42no—
1131#121—682no—
1132#121—682no—
1133#121—682no—
1134#121—682no—
1135#121—682no—
1136#120—42no—
1137#120—42no—
1138#120—344no—
1139#120—682no—
1140#120—682no—
1141#120—682no—
1142#120—682no—
1143C4×D4—682no—
1144C2×C4⋊C4—171no—
1145C2×C4⋊C4—171no—
1146C2×C4⋊C4—171no—
1147C2×C4⋊C4—171no—
1148C2×C4⋊C4—171no—
1149C2×C4⋊C4—171no—
1150C2×C4⋊C4—171no—
1151C2×C4⋊C4—171no—
1152C2×C4⋊C4—171no—
1153C2×C4⋊C4—171no—
1154C2×C4⋊C4—171no—
1155C2×C4⋊C4—171no—
1156C2×C4⋊C4—171no—
1157C2×C4⋊C4C22×D1711yescharacteristic
1158C2×C4⋊C4C22×D1711yescharacteristic
1159C2×C4⋊C4C22×D1711yescharacteristic
1160C2×C22⋊C4—171no—
1161C2×C22⋊C4—171no—
1162C2×C22⋊C4—171no—
1163C2×C22⋊C4—171no—
1164C2×C22⋊C4—171no—
1165C2×C22⋊C4—171no—
1166C2×C22⋊C4—171no—
1167C2×C22⋊C4—171no—
1168C2×C22⋊C4—171no—
1169C2×C22⋊C4—171no—
1170C2×C22⋊C4—171no—
1171C2×C22⋊C4—171no—
1172C2×C22⋊C4—171no—
1173C2×C22⋊C4—171no—
1174C2×C22⋊C4—171no—
1175C2×C22⋊C4—171no—
1176C2×C22⋊C4—171no—
1177C2×C22⋊C4—171no—
1178C2×C22⋊C4—171no—
1179C2×C22⋊C4—171no—
1180C2×C22⋊C4—171no—
1181C2×C22⋊C4—171no—
1182C2×C22⋊C4—171no—
1183C2×C22⋊C4—171no—
1184C2×C22⋊C4—171no—
1185C2×C22⋊C4—171no—
1186C2×C22⋊C4—171no—
1187C2×C22⋊C4—171no—
1188C2×C22⋊C4—171no—
1189C2×C22⋊C4—171no—
1190C2×C22⋊C4—171no—
1191C2×C22⋊C4—171no—
1192C2×C22⋊C4—171no—
1193C2×C22⋊C4—171no—
1194C2×C22⋊C4—171no—
1195C2×C22⋊C4—171no—
1196C2×C22⋊C4—171no—
1197C2×C22⋊C4—171no—
1198C2×C22⋊C4—171no—
1199C2×C22⋊C4—171no—
1200C2×C22⋊C4—171no—
1201C2×C22⋊C4—171no—
1202C2×C22⋊C4—171no—
1203C2×C22⋊C4—171no—
1204C2×C22⋊C4—682no—
1205C2×C22⋊C4—682no—
1206C2×C22⋊C4—682no—
1207C2×C22⋊C4—682no—
1208C2×C22⋊C4C22×D1711yescharacteristic
1209C2×C22⋊C4C22×D1711yescharacteristic
1210C2×C22⋊C4C22×D1711yescharacteristic
1211C2×C22⋊C4C22×D1711yescharacteristic
1212C2×C22⋊C4C22×D1711yescharacteristic
1213C2×C22⋊C4C22×D1711yescharacteristic
1214C2×C22⋊C4C22×D1711yescharacteristic
1215C2×C22⋊C4C22×D1711yescharacteristic
1216C2×C22⋊C4C22×D1711yescharacteristic
1217C2×C22⋊C4C22×D1711yescharacteristic
1218C2×C22⋊C4C22×D1711yescharacteristic
1219C2×C22⋊C4C22×D1711yescharacteristic
1220C2×C22⋊C4C22×D1711yescharacteristic
1221C2×C22⋊C4C22×D1711yescharacteristic
1222C2×C22⋊C4C22×D1711yescharacteristic
1223C2×C22⋊C4C22×D1711yescharacteristic
1224C2×C42—171no—
1225C2×C42—171no—
1226C2×C42—171no—
1227#95—171no—
1228#95—171no—
1229#95—171no—
1230#95—171no—
1231#95—171no—
1232#95—171no—
1233#95—171no—
1234#95—171no—
1235#95—171no—
1236#95—171no—
1237#95—171no—
1238#95—171no—
1239#95—171no—
1240#95—171no—
1241#95—171no—
1242#95—171no—
1243#95—171no—
1244#95—171no—
1245#95—171no—
1246#95—171no—
1247#95—171no—
1248#95—171no—
1249#95—171no—
1250#95—171no—
1251#95—171no—
1252#95—171no—
1253#95—171no—
1254#95—171no—
1255#95—171no—
1256#95—171no—
1257#95—171no—
1258#95—171no—
1259#95—171no—
1260#95—171no—
1261#95C22×D1711yescharacteristic
1262#95C22×D1711yescharacteristic
1263#95C22×D1711yescharacteristic
1264#95C22×D1711yescharacteristic
1265#95C22×D1711yescharacteristic
1266#95C22×D1711yescharacteristic
1267C17#3677611yescharacteristic, complemented, Sylow
1268C24—22no—
1269C24—41no—
1270C24—41no—
1271C24—41no—
1272C24—41no—
1273C24—41no—
1274C24—41no—
1275C24—171no—
1276C24—171no—
1277C24—171no—
1278C24—174no—
1279C24—342no—
1280C24—342no—
1281C24—342no—
1282C24—342no—
1283C24—342no—
1284C24—342no—
1285C24—342no—
1286C24—681no—
1287C24—681no—
1288C24—681no—
1289C24—681no—
1290C24—681no—
1291C24—681no—
1292C24C23×D1711yescharacteristic
1293C24C23×D1711yescharacteristic
1294C24C23×D1711yescharacteristic
1295C24C23×D1711yescharacteristic
1296C24C23×D1711yescharacteristic
1297C2×Q8—681no—
1298C2×Q8—681no—
1299C2×Q8—681no—
1300C2×D4—22no—
1301C2×D4—22no—
1302C2×D4—22no—
1303C2×D4—22no—
1304C2×D4—22no—
1305C2×D4—22no—
1306C2×D4—22no—
1307C2×D4—41no—
1308C2×D4—41no—
1309C2×D4—41no—
1310C2×D4—41no—
1311C2×D4—41no—
1312C2×D4—41no—
1313C2×D4—41no—
1314C2×D4—41no—
1315C2×D4—41no—
1316C2×D4—41no—
1317C2×D4—41no—
1318C2×D4—41no—
1319C2×D4—41no—
1320C2×D4—41no—
1321C2×D4—342no—
1322C2×D4—342no—
1323C2×D4—342no—
1324C2×D4—342no—
1325C2×D4—342no—
1326C2×D4—342no—
1327C2×D4—342no—
1328C2×D4—342no—
1329C2×D4—342no—
1330C2×D4—342no—
1331C2×D4—342no—
1332C2×D4—342no—
1333C2×D4—342no—
1334C2×D4—342no—
1335C2×D4—342no—
1336C2×D4—342no—
1337C2×D4—342no—
1338C2×D4—342no—
1339C2×D4—342no—
1340C2×D4—342no—
1341C2×D4—342no—
1342C2×D4—681no—
1343C2×D4—681no—
1344C2×D4—681no—
1345C2×D4—681no—
1346C2×D4—681no—
1347C2×D4—681no—
1348C2×D4—681no—
1349C2×D4—681no—
1350C2×D4—681no—
1351C2×D4—681no—
1352C2×D4—681no—
1353C2×D4—681no—
1354C2×D4—681no—
1355C2×D4—681no—
1356C2×D4—681no—
1357C2×D4—6816no—
1358C2×D4—6816no—
1359C22×C4—22no—
1360C22×C4—41no—
1361C22×C4—41no—
1362C22×C4—41no—
1363C22×C4—41no—
1364C22×C4—41no—
1365C22×C4—171no—
1366C22×C4—171no—
1367C22×C4—171no—
1368C22×C4—171no—
1369C22×C4—171no—
1370C22×C4—171no—
1371C22×C4—171no—
1372C22×C4—171no—
1373C22×C4—171no—
1374C22×C4—171no—
1375C22×C4—171no—
1376C22×C4—171no—
1377C22×C4—171no—
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—6816no—
1407C22×C4—681no—
1408C22×C4—681no—
1409C22×C4—681no—
1410C22×C4—681no—
1411C22×C4—681no—
1412C22×C4C23×D1711yescharacteristic
1413C22×C4C23×D1711yescharacteristic
1414C22×C4C23×D1711yescharacteristic
1415C22×C4C23×D1711yescharacteristic
1416C22×C4C23×D1711yescharacteristic
1417C22×C4C23×D1711yescharacteristic
1418C22×C4C23×D1711yescharacteristic
1419C22×C4C23×D1711yescharacteristic
1420C22×C4C23×D1711yescharacteristic
1421C22×C4C23×D1711yescharacteristic
1422C4⋊C4—22no—
1423C4⋊C4—41no—
1424C4⋊C4—41no—
1425C4⋊C4—342no—
1426C4⋊C4—681no—
1427C4⋊C4—681no—
1428C4⋊C4—681no—
1429C4⋊C4—681no—
1430C4⋊C4—681no—
1431C4⋊C4—681no—
1432C4⋊C4—681no—
1433C4⋊C4—681no—
1434C4⋊C4—681no—
1435C4⋊C4—681no—
1436C4⋊C4—681no—
1437C4⋊C4—681no—
1438C22⋊C4—22no—
1439C22⋊C4—22no—
1440C22⋊C4—22no—
1441C22⋊C4—41no—
1442C22⋊C4—41no—
1443C22⋊C4—41no—
1444C22⋊C4—41no—
1445C22⋊C4—41no—
1446C22⋊C4—41no—
1447C22⋊C4—41no—
1448C22⋊C4—41no—
1449C22⋊C4—41no—
1450C22⋊C4—41no—
1451C22⋊C4—41no—
1452C22⋊C4—41no—
1453C22⋊C4—41no—
1454C22⋊C4—342no—
1455C22⋊C4—342no—
1456C22⋊C4—342no—
1457C22⋊C4—342no—
1458C22⋊C4—342no—
1459C22⋊C4—342no—
1460C22⋊C4—342no—
1461C22⋊C4—342no—
1462C22⋊C4—342no—
1463C22⋊C4—342no—
1464C22⋊C4—342no—
1465C22⋊C4—681no—
1466C22⋊C4—681no—
1467C22⋊C4—681no—
1468C22⋊C4—681no—
1469C22⋊C4—681no—
1470C22⋊C4—681no—
1471C22⋊C4—681no—
1472C22⋊C4—681no—
1473C22⋊C4—681no—
1474C22⋊C4—681no—
1475C22⋊C4—681no—
1476C22⋊C4—681no—
1477C22⋊C4—681no—
1478C22⋊C4—681no—
1479C22⋊C4—681no—
1480C22⋊C4—681no—
1481C22⋊C4—681no—
1482C22⋊C4—681no—
1483C22⋊C4—681no—
1484C22⋊C4—681no—
1485C22⋊C4—681no—
1486C22⋊C4—681no—
1487C22⋊C4—681no—
1488C22⋊C4—681no—
1489C22⋊C4—681no—
1490C22⋊C4—681no—
1491C22⋊C4—681no—
1492C22⋊C4—681no—
1493C22⋊C4—681no—
1494C22⋊C4—681no—
1495C22⋊C4—681no—
1496C22⋊C4—681no—
1497C22⋊C4—681no—
1498C42—681no—
1499C42—681no—
1500C42—681no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—21no—
1529C23—21no—
1530C23—21no—
1531C23—21no—
1532C23—21no—
1533C23—21no—
1534C23—44no—
1535C23—82no—
1536C23—82no—
1537C23—82no—
1538C23—82no—
1539C23—82no—
1540C23—82no—
1541C23—172no—
1542C23—172no—
1543C23—172no—
1544C23—172no—
1545C23—172no—
1546C23—348no—
1547C23—348no—
1548C23—341no—
1549C23—341no—
1550C23—341no—
1551C23—341no—
1552C23—341no—
1553C23—341no—
1554C23—341no—
1555C23—341no—
1556C23—341no—
1557C23—341no—
1558C23—341no—
1559C23—341no—
1560C23—341no—
1561C23—341no—
1562C23—341no—
1563C23—341no—
1564C23—684no—
1565C23—684no—
1566C23—684no—
1567C23—684no—
1568C23—684no—
1569C23—684no—
1570C23—684no—
1571C23—684no—
1572C23—1362no—
1573C23—1362no—
1574C23—1362no—
1575C23—1362no—
1576C23#1058769112yes—
1577C23#41×D1712yes—
1578C23C24×D1711yescharacteristic
1579Q8—1362no—
1580D4—44no—
1581D4—82no—
1582D4—82no—
1583D4—82no—
1584D4—82no—
1585D4—82no—
1586D4—82no—
1587D4—684no—
1588D4—684no—
1589D4—684no—
1590D4—684no—
1591D4—684no—
1592D4—684no—
1593D4—684no—
1594D4—684no—
1595D4—1362no—
1596D4—1362no—
1597D4—1362no—
1598D4—1362no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—44no—
1629C2×C4—82no—
1630C2×C4—341no—
1631C2×C4—341no—
1632C2×C4—341no—
1633C2×C4—341no—
1634C2×C4—341no—
1635C2×C4—341no—
1636C2×C4—341no—
1637C2×C4—341no—
1638C2×C4—341no—
1639C2×C4—341no—
1640C2×C4—341no—
1641C2×C4—341no—
1642C2×C4—341no—
1643C2×C4—341no—
1644C2×C4—341no—
1645C2×C4—341no—
1646C2×C4—341no—
1647C2×C4—341no—
1648C2×C4—341no—
1649C2×C4—341no—
1650C2×C4—341no—
1651C2×C4—341no—
1652C2×C4—341no—
1653C2×C4—341no—
1654C2×C4—341no—
1655C2×C4—341no—
1656C2×C4—341no—
1657C2×C4—341no—
1658C2×C4—341no—
1659C2×C4—341no—
1660C2×C4—341no—
1661C2×C4—341no—
1662C2×C4—341no—
1663C2×C4—341no—
1664C2×C4—341no—
1665C2×C4—341no—
1666C2×C4—341no—
1667C2×C4—341no—
1668C2×C4—341no—
1669C2×C4—684no—
1670C2×C4—684no—
1671C2×C4—684no—
1672C2×C4—684no—
1673C2×C4—684no—
1674C2×C4—684no—
1675C2×C4—684no—
1676C2×C4—1362no—
1677C2×C4—1362no—
1678C2×C4—1362no—
1679C2×C4—1362no—
1680C2×C4#1058769112yes—
1681C22—22no—
1682C22—22no—
1683C22—22no—
1684C22—22no—
1685C22—22no—
1686C22—22no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—88no—
1717C22—174no—
1718C22—342no—
1719C22—342no—
1720C22—342no—
1721C22—342no—
1722C22—342no—
1723C22—342no—
1724C22—342no—
1725C22—342no—
1726C22—342no—
1727C22—342no—
1728C22—342no—
1729C22—342no—
1730C22—6816no—
1731C22—681no—
1732C22—681no—
1733C22—681no—
1734C22—681no—
1735C22—681no—
1736C22—681no—
1737C22—681no—
1738C22—681no—
1739C22—1368no—
1740C22C2×#41×D1711yescharacteristic
1741C22H(5,𝔽2)×D1711yescharacteristic
1742C22H(5,𝔽2)×D1711yescharacteristic
1743C22H(5,𝔽2)×D1711yescharacteristic
1744C22C2×#1058769111yescharacteristic
1745C22C2×#1058769111yescharacteristic
1746C22#1176364411yescharacteristic
1747C4—22no—
1748C4—41no—
1749C4—41no—
1750C4—41no—
1751C4—41no—
1752C4—41no—
1753C4—41no—
1754C4—41no—
1755C4—41no—
1756C4—41no—
1757C4—681no—
1758C4—681no—
1759C4—681no—
1760C4—681no—
1761C4—681no—
1762C4—681no—
1763C4—681no—
1764C4—681no—
1765C4—681no—
1766C4—681no—
1767C4—681no—
1768C4—681no—
1769C4—681no—
1770C2—42no—
1771C2—42no—
1772C2—81no—
1773C2—81no—
1774C2—81no—
1775C2—344no—
1776C2—682no—
1777C2—682no—
1778C2D17×#53811yescharacteristic
1779C2#1454246611yescharacteristic
1780C2#1454261111yescharacteristic
1781C2#1454293611yescharacteristic
1782C2#1454296511yescharacteristic
1783C2#1454297111yescharacteristic
1784C2#1454301511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D17
commutator, socle, cosocleC23×C17C25
FittingC17×#2668C2
hypercenter#2668D17
hypocenterC17#36776
LCSG ▷ C23×C17 ▷ C17
UCSC1 ◁ C23 ◁ #2668

Complements

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

NH ≅ G/Ntype
1. #14537075C2semidirect
2. #14537063C2semidirect
3. #14536406C2semidirect
4. #14536404C2semidirect
5. #14536160C2semidirect
6. #14536016C2semidirect
7. #14536009C2semidirect
8. #14536006C2semidirect
9. #14535930C2semidirect
10. #14535433C2semidirect
11. #14535347C2semidirect
12. #14535336C2semidirect
13. #14535216C2semidirect
14. #14535215C2semidirect
15. #14535162C2semidirect
16. #14535105C2semidirect
17. #14535079C2semidirect
18. #14534736C2semidirect
19. #14534715C2semidirect
20. #14533337C2semidirect
21. #14532905C2semidirect
22. #14532531C2semidirect
23. #14532451C2semidirect
24. #14532317C2semidirect
25. #14532154C2semidirect
26. #14532151C2semidirect
27. #14532095C2semidirect
28. #14531440C2semidirect
29. #14531360C2semidirect
30. D17×#386C2semidirect
31. C17×#2668C2semidirect
34. C23×C4×D17C22semidirect
35. C2×#10587622C22semidirect
36. C2×#10587569C22semidirect
37. C2×#10587569C22semidirect
38. C2×#10587582C22semidirect
39. C2×#10587582C22semidirect
40. C2×#10587570C22semidirect
43. C2×#10587624C22semidirect
44. C2×#10587624C22semidirect
49. C2×#10587623C22semidirect
50. C2×C4×C22⋊D17C22semidirect
54. C2×C22⋊C4×D17C22semidirect
55. C17⋊#401C22semidirect
56. C17⋊#401C22semidirect
57. #11762751C22semidirect
58. #11762751C22semidirect
59. #11762751C22semidirect
60. #11762750C22semidirect
61. #11762749C22semidirect
62. #11762748C22semidirect
63. #11762748C22semidirect
64. #11762737C22semidirect
65. #11762737C22semidirect
66. #11762737C22semidirect
67. #11762737C22semidirect
68. #11762737C22semidirect
69. #11762734C22semidirect
70. #11762734C22semidirect
71. #11762734C22semidirect
72. #11762732C22semidirect
73. #11762732C22semidirect
74. #11762732C22semidirect
75. #11762731C22semidirect
77. #11762725C22semidirect
78. #11762725C22semidirect
79. #11762724C22semidirect
81. #11762723C22semidirect
82. #11762723C22semidirect
83. #11762723C22semidirect
84. #11762723C22semidirect
85. #11762722C22semidirect
86. #11762721C22semidirect
87. #11762721C22semidirect
88. #11762721C22semidirect
94. #11762717C22semidirect
95. #11762717C22semidirect
96. #11762717C22semidirect
97. #11762712C22semidirect
98. #11762709C22semidirect
99. #11762709C22semidirect
100. #11762709C22semidirect
101. #11762702C22semidirect
102. #11762702C22semidirect
103. #11762702C22semidirect
104. #11762701C22semidirect
105. #11762699C22semidirect
106. #11762698C22semidirect
107. #11762697C22semidirect
108. #11762697C22semidirect
109. #11762697C22semidirect
110. #11762697C22semidirect
111. #11762696C22semidirect
112. #11762695C22semidirect
115. #11762689C22semidirect
116. #11762689C22semidirect
117. #11762689C22semidirect
118. #11762689C22semidirect
119. #11762688C22semidirect
120. #11762688C22semidirect
121. #11762688C22semidirect
122. #11762687C22semidirect
123. #11762687C22semidirect
124. #11762687C22semidirect
126. #11762686C22semidirect
137. #11762685C22semidirect
138. #11762685C22semidirect
139. #11762685C22semidirect
140. #11762685C22semidirect
141. #11762685C22semidirect
142. #11762685C22semidirect
143. #11762685C22semidirect
144. #11762685C22semidirect
145. #11762685C22semidirect
146. #11762684C22semidirect
147. #11762684C22semidirect
148. #11762683C22semidirect
149. #11762683C22semidirect
150. #11762683C22semidirect
151. #11762683C22semidirect
152. #11762682C22semidirect
153. #11762680C22semidirect
154. #11762680C22semidirect
155. #11762676C22semidirect
156. #11762672C22semidirect
157. #11762671C22semidirect
158. #11762671C22semidirect
159. #11762670C22semidirect
160. #11762670C22semidirect
161. #11762669C22semidirect
162. #11762666C22semidirect
163. #11762666C22semidirect
164. #11762666C22semidirect
165. #11762665C22semidirect
166. #11762665C22semidirect
168. #11762664C22semidirect
169. #11762656C22semidirect
170. #95×D17C22semidirect
171. #95×D17C22semidirect
172. C2×C17×#121C22semidirect
173. C2×C17×#121C22semidirect
175. C2×C17×#120C22semidirect
176. C17×#399C22semidirect
177. C17×#397C22semidirect
178. C17×#397C22semidirect
179. C17×#394C22semidirect
180. C17×#394C22semidirect
183. C17×#386C22semidirect
184. C17×#386C22semidirect
185. C17×#386C22semidirect
186. C17×#379C22semidirect
806. #2668D17semidirect
922. C2×#121C2×D17semidirect
923. C2×#121C2×D17semidirect
930. C2×#120C2×D17semidirect
945. #399C2×D17semidirect
954. #397C2×D17semidirect
955. #397C2×D17semidirect
969. #394C2×D17semidirect
970. #394C2×D17semidirect
1034. #386C2×D17semidirect
1035. #386C2×D17semidirect
1036. #386C2×D17semidirect
1060. #379C2×D17semidirect
1267. C17#36776semidirect

Maximal subgroups

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

subgroupindex
#145370752
#145370632
#145364062
#145364042
#145361602
#145360162
#145360092
#145360062
#145359302
#145354332
#145353472
#145353362
#145352162
#145352152
#145351622
#145351052
#145350792
#145347362
#145347152
#145333372
#145329052
#145325312
#145324512
#145323172
#145321542
#145321512
#145320952
#145314402
#145313602
D17×#3862
C17×#26682
#3677617