Finite Group Databasebeta

← #17242647

Subgroups — #17242647

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#14537079C211yesmaximal, characteristic, complemented
2#14537065C211yesmaximal, characteristic, complemented
3#14536399C211yesmaximal, characteristic, complemented
4#14536397C211yesmaximal, characteristic, complemented
5#14536160C211yesmaximal, characteristic, complemented
6#14536020C211yesmaximal, characteristic, complemented
7#14536005C211yesmaximal, characteristic, complemented
8#14536002C211yesmaximal, characteristic, complemented
9#14535924C211yesmaximal, characteristic, complemented
10#14535424C211yesmaximal, characteristic, complemented
11#14535344C211yesmaximal, characteristic, complemented
12#14535331C211yesmaximal, characteristic, complemented
13#14535224C211yesmaximal, characteristic, complemented
14#14535217C211yesmaximal, characteristic, complemented
15#14535165C211yesmaximal, characteristic, complemented
16#14535106C211yesmaximal, characteristic, complemented
17#14535082C211yesmaximal, characteristic, complemented
18#14534989C211yesmaximal, characteristic, complemented
19#14534740C211yesmaximal, characteristic, complemented
20#14534714C211yesmaximal, characteristic, complemented
21#14533338C211yesmaximal, characteristic, complemented
22#14532910C211yesmaximal, characteristic, complemented
23#14532528C211yesmaximal, characteristic, complemented
24#14532450C211yesmaximal, characteristic, complemented
25#14532314C211yesmaximal, characteristic, complemented
26#14532159C211yesmaximal, characteristic, complemented
27#14532159C211yesmaximal, characteristic, complemented
28#14532097C211yesmaximal, characteristic, complemented
29#14531359C211yesmaximal, characteristic, complemented
30C2×#11762685C211yesmaximal, characteristic, complemented
31C17×#2321C211yesmaximal, characteristic, complemented
32C23×C22⋊D17C2211yescharacteristic
33C23×C22⋊D17C2211yescharacteristic
34C23×C4×D17C2211yescharacteristic, complemented
35C2×#10587561C2211yescharacteristic, complemented
36C2×#10587580C2211yescharacteristic, complemented
37C2×#10587580C2211yescharacteristic, complemented
38C2×#10587564C2211yescharacteristic, complemented
39C2×#10587564C2211yescharacteristic, complemented
40C2×#10587616C2211yescharacteristic, complemented
41C2×#10587570C2211yescharacteristic, complemented
42C2×#10587570C2211yescharacteristic, complemented
43C2×#10587625C2211yescharacteristic
44C2×#10587625C2211yescharacteristic
45C2×#10587625C2211yescharacteristic, complemented
46C2×#10587625C2211yescharacteristic, complemented
47C2×#10587568C2211yescharacteristic
48C2×#10587568C2211yescharacteristic
49C2×#10587568C2211yescharacteristic
50C2×#10587568C2211yescharacteristic
51C2×#10587623C2211yescharacteristic, complemented
52C2×#10587623C2211yescharacteristic, complemented
53C22×C22⋊Dic17C2211yescharacteristic
54C22×C22⋊Dic17C2211yescharacteristic
55C22×#63227C2211yescharacteristic, complemented
56C17⋊#401C2211yescharacteristic, complemented
57C17⋊#401C2211yescharacteristic, complemented
58#11762751C2211yescharacteristic, complemented
59#11762751C2211yescharacteristic, complemented
60#11762750C2211yescharacteristic, complemented
61#11762750C2211yescharacteristic, complemented
62#11762748C2211yescharacteristic, complemented
63#11762747C2211yescharacteristic, complemented
64#11762747C2211yescharacteristic, complemented
65#11762745C2211yescharacteristic, complemented
66#11762738C2211yescharacteristic, complemented
67#11762738C2211yescharacteristic, complemented
68#11762738C2211yescharacteristic, complemented
69#11762738C2211yescharacteristic, complemented
70#11762737C2211yescharacteristic, complemented
71#11762737C2211yescharacteristic, complemented
72#11762736C2211yescharacteristic, complemented
73#11762736C2211yescharacteristic, complemented
74#11762735C2211yescharacteristic, complemented
75#11762735C2211yescharacteristic, complemented
76#11762732C2211yescharacteristic, complemented
77#11762732C2211yescharacteristic, complemented
78#11762731C2211yescharacteristic, complemented
79#11762731C2211yescharacteristic, complemented
80#11762727C2211yescharacteristic, complemented
81#11762727C2211yescharacteristic, complemented
82#11762726C2211yescharacteristic, complemented
83#11762725C2211yescharacteristic, complemented
84#11762725C2211yescharacteristic, complemented
85#11762724C2211yescharacteristic
86#11762724C2211yescharacteristic
87#11762724C2211yescharacteristic, complemented
88#11762724C2211yescharacteristic, complemented
89#11762724C2211yescharacteristic, complemented
90#11762724C2211yescharacteristic, complemented
91#11762722C2211yescharacteristic, complemented
92#11762722C2211yescharacteristic, complemented
93#11762721C2211yescharacteristic, complemented
94#11762721C2211yescharacteristic, complemented
95#11762718C2211yescharacteristic
96#11762718C2211yescharacteristic
97#11762718C2211yescharacteristic
98#11762718C2211yescharacteristic
99#11762718C2211yescharacteristic, complemented
100#11762717C2211yescharacteristic
101#11762717C2211yescharacteristic
102#11762717C2211yescharacteristic, complemented
103#11762717C2211yescharacteristic, complemented
104#11762711C2211yescharacteristic, complemented
105#11762711C2211yescharacteristic, complemented
106#11762700C2211yescharacteristic, complemented
107#11762700C2211yescharacteristic, complemented
108#11762700C2211yescharacteristic, complemented
109#11762700C2211yescharacteristic, complemented
110#11762700C2211yescharacteristic, complemented
111#11762700C2211yescharacteristic, complemented
112#11762693C2211yescharacteristic, complemented
113#11762693C2211yescharacteristic, complemented
114#11762689C2211yescharacteristic, complemented
115#11762689C2211yescharacteristic, complemented
116#11762688C2211yescharacteristic
117#11762688C2211yescharacteristic
118#11762688C2211yescharacteristic
119#11762688C2211yescharacteristic
120#11762688C2211yescharacteristic, complemented
121#11762688C2211yescharacteristic, complemented
122#11762687C2211yescharacteristic, complemented
123#11762687C2211yescharacteristic, complemented
124#11762687C2211yescharacteristic, complemented
125#11762687C2211yescharacteristic, complemented
126#11762686C2211yescharacteristic
127#11762686C2211yescharacteristic
128#11762686C2211yescharacteristic
129#11762686C2211yescharacteristic
130#11762686C2211yescharacteristic
131#11762686C2211yescharacteristic
132#11762686C2211yescharacteristic, complemented
133#11762686C2211yescharacteristic, complemented
134#11762686C2211yescharacteristic, complemented
135#11762686C2211yescharacteristic, complemented
136#11762686C2211yescharacteristic, complemented
137#11762686C2211yescharacteristic, complemented
138#11762685C2211yescharacteristic
139#11762685C2211yescharacteristic
140#11762685C2211yescharacteristic
141#11762685C2211yescharacteristic
142#11762685C2211yescharacteristic, complemented
143#11762685C2211yescharacteristic, complemented
144#11762685C2211yescharacteristic, complemented
145#11762685C2211yescharacteristic, complemented
146#11762685C2211yescharacteristic, complemented
147#11762685C2211yescharacteristic, complemented
148#11762684C2211yescharacteristic, complemented
149#11762684C2211yescharacteristic, complemented
150#11762681C2211yescharacteristic, complemented
151#11762681C2211yescharacteristic, complemented
152#11762681C2211yescharacteristic, complemented
153#11762681C2211yescharacteristic, complemented
154#11762680C2211yescharacteristic, complemented
155#11762680C2211yescharacteristic, complemented
156#11762677C2211yescharacteristic, complemented
157#11762672C2211yescharacteristic, complemented
158#11762671C2211yescharacteristic, complemented
159#11762671C2211yescharacteristic, complemented
160#11762670C2211yescharacteristic, complemented
161#11762670C2211yescharacteristic, complemented
162#11762668C2211yescharacteristic, complemented
163#11762668C2211yescharacteristic, complemented
164#11762667C2211yescharacteristic, complemented
165#11762667C2211yescharacteristic, complemented
166#11762664C2211yescharacteristic, complemented
167#11762664C2211yescharacteristic, complemented
168#11762664C2211yescharacteristic, complemented
169#11762664C2211yescharacteristic, complemented
170C2×#10587502C2211yescharacteristic, complemented
171C2×#10587502C2211yescharacteristic, complemented
172C2×C17×#120C2211yescharacteristic
173C2×C4×D4×C17C2211yescharacteristic, complemented
174C22×C22⋊C4×C17C2211yescharacteristic
175C17×#390C2211yescharacteristic, complemented
176C17×#390C2211yescharacteristic, complemented
177C17×#388C2211yescharacteristic, complemented
178C17×#388C2211yescharacteristic, complemented
179C17×#388C2211yescharacteristic, complemented
180C17×#388C2211yescharacteristic, complemented
181C17×#386C2211yescharacteristic, complemented
182C17×#386C2211yescharacteristic, complemented
183C17×#386C2211yescharacteristic, complemented
184C17×#385C2211yescharacteristic, complemented
185C17×#379C2211yescharacteristic
186C4×C22⋊C4×C17C2211yescharacteristic, complemented
187C25×C17C2311yescharacteristic
188C24×D17C2311yescharacteristic
189C24×D17C2311yescharacteristic
190C22×D4×C17C2311yescharacteristic
191C22×D4×C17C2311yescharacteristic
192C22×D4×C17C2311yescharacteristic
193C23×C4×C17C2311yescharacteristic
194C23×C4×C17C2311yescharacteristic
195C23×C4×C17C2311yescharacteristic
196C22×C22⋊D17—24no—
197C22×C22⋊D17—24no—
198C22×C22⋊D17—42no—
199C22×C22⋊D17—42no—
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
213C22×C22⋊D17C2311yescharacteristic
214C23×Dic17C2311yescharacteristic
215C23×Dic17C2311yescharacteristic
216C23×Dic17C2311yescharacteristic
217C23×Dic17C2311yescharacteristic
218C23×Dic17C2311yescharacteristic
219C23×Dic17C2311yescharacteristic
220C22×D68C2311yescharacteristic
221C22×D68C2311yescharacteristic
222C22×D68C2311yescharacteristic
223C22×D68C2311yescharacteristic
224C22×C4×D17—42no—
225C22×C4×D17—42no—
226C22×C4×D17—42no—
227C22×C4×D17C2311yescharacteristic
228C22×C4×D17C2311yescharacteristic
229C22×C4×D17C2311yescharacteristic
230C22×C4×D17C2311yescharacteristic
231C22×Dic34C2311yescharacteristic
232C17×#120—24no—
233C4×D4×C17—42no—
234C2×C4⋊C4×C17C2311yescharacteristic
235C2×C4⋊C4×C17C2311yescharacteristic
236C2×C4⋊C4×C17C2311yescharacteristic
237C2×C22⋊C4×C17—42no—
238C2×C22⋊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×C42×C17C2311yescharacteristic
255C2×C42×C17C2311yescharacteristic
256C2×C42×C17C2311yescharacteristic
257C2×C22⋊Dic17—42no—
258C2×C22⋊Dic17—42no—
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
271#10587625—42no—
272#10587625—42no—
273#10587625—42no—
274#10587625—42no—
275#10587623—42no—
276#10587623—42no—
277#10587616—42no—
278C2×#63227—42no—
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×#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×#63227C2311yescharacteristic
311C2×C4⋊Dic17C2311yescharacteristic
312C2×C4⋊Dic17C2311yescharacteristic
313C2×C4⋊Dic17C2311yescharacteristic
314C2×#63225C2311yescharacteristic
315C2×#63225C2311yescharacteristic
316C2×#63225C2311yescharacteristic
317C2×#63225C2311yescharacteristic
318C2×#63225C2311yescharacteristic
319C2×#63225C2311yescharacteristic
320C2×#63225C2311yescharacteristic
321C2×#63225C2311yescharacteristic
322C2×#63225C2311yescharacteristic
323C2×#63225C2311yescharacteristic
324#10587580—42no—
325#10587580—42no—
326#10587570—42no—
327#10587570—42no—
328#10587568—42no—
329#10587568—42no—
330#10587568—42no—
331#10587568—42no—
332#10587564—42no—
333#10587564—42no—
334#10587561—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—22no—
377C24×C17—41no—
378C24×C17—41no—
379C24×C17—41no—
380C24×C17—41no—
381C24×C17#4114yes—
382C24×C17C2411yescharacteristic
383C24×C17C2411yescharacteristic
384C24×C17C2411yescharacteristic
385C24×C17C2411yescharacteristic
386C23×D17—22no—
387C23×D17—22no—
388C23×D17—22no—
389C23×D17—22no—
390C23×D17—22no—
391C23×D17—22no—
392C23×D17—41no—
393C23×D17—41no—
394C23×D17—41no—
395C23×D17—41no—
396C23×D17—41no—
397C23×D17—41no—
398C23×D17—41no—
399C23×D17—41no—
400C23×D17C2411yescharacteristic
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—41no—
410C2×D4×C17—41no—
411C2×D4×C17—41no—
412C2×D4×C17—41no—
413C22×C4×C17—22no—
414C22×C4×C17—22no—
415C22×C4×C17—41no—
416C22×C4×C17—41no—
417C22×C4×C17—41no—
418C22×C4×C17—41no—
419C22×C4×C17—41no—
420C22×C4×C17—41no—
421C22×C4×C17—41no—
422C22×C4×C17C2411yescharacteristic
423C22×C4×C17C2411yescharacteristic
424C22×C4×C17C2411yescharacteristic
425C22×C4×C17C2411yescharacteristic
426C22×C4×C17C2411yescharacteristic
427C22×C4×C17C2411yescharacteristic
428C22×C4×C17C2411yescharacteristic
429C22×C4×C17C2411yescharacteristic
430C22×C4×C17C2411yescharacteristic
431C22×C4×C17C2411yescharacteristic
432C22×C4×C17C2411yescharacteristic
433C2×C22⋊D17—22no—
434C2×C22⋊D17—22no—
435C2×C22⋊D17—22no—
436C2×C22⋊D17—22no—
437C2×C22⋊D17—22no—
438C2×C22⋊D17—22no—
439C2×C22⋊D17—22no—
440C2×C22⋊D17—22no—
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—41no—
453C2×C22⋊D17—41no—
454C2×C22⋊D17—41no—
455C2×C22⋊D17—41no—
456C2×C22⋊D17—41no—
457C2×C22⋊D17—41no—
458C2×C22⋊D17—41no—
459C2×C22⋊D17—41no—
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—416no—
470C2×C22⋊D17—416no—
471C22×Dic17—22no—
472C22×Dic17—22no—
473C22×Dic17—22no—
474C22×Dic17—22no—
475C22×Dic17—22no—
476C22×Dic17—41no—
477C22×Dic17—41no—
478C22×Dic17—41no—
479C22×Dic17—41no—
480C22×Dic17—41no—
481C22×Dic17—41no—
482C22×Dic17—41no—
483C22×Dic17—41no—
484C22×Dic17—41no—
485C22×Dic17—41no—
486C22×Dic17—41no—
487C22×Dic17—41no—
488C22×Dic17—41no—
489C22×Dic17C2411yescharacteristic
490C22×Dic17C2411yescharacteristic
491C22×Dic17C2411yescharacteristic
492C22×Dic17C2411yescharacteristic
493C22×Dic17C2411yescharacteristic
494C22×Dic17C2411yescharacteristic
495C22×Dic17C2411yescharacteristic
496C22×Dic17C2411yescharacteristic
497C22×Dic17C2411yescharacteristic
498C22×Dic17C2411yescharacteristic
499C22×Dic17C2411yescharacteristic
500C22×Dic17C2411yescharacteristic
501C2×D68—22no—
502C2×D68—22no—
503C2×D68—22no—
504C2×D68—22no—
505C2×D68—41no—
506C2×D68—41no—
507C2×D68—41no—
508C2×D68—41no—
509C2×D68—41no—
510C2×D68—41no—
511C2×D68—41no—
512C2×D68—41no—
513C2×C4×D17—22no—
514C2×C4×D17—22no—
515C2×C4×D17—22no—
516C2×C4×D17—22no—
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—416no—
526C2×Dic34—41no—
527C2×Dic34—41no—
528C2×Dic34—41no—
529C4⋊C4×C17—41no—
530C4⋊C4×C17—41no—
531C4⋊C4×C17—41no—
532C22⋊C4×C17—22no—
533C22⋊C4×C17—22no—
534C22⋊C4×C17—22no—
535C22⋊C4×C17—22no—
536C22⋊C4×C17—22no—
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—
548C42×C17—41no—
549C42×C17—41no—
550C42×C17—41no—
551C22⋊Dic17—22no—
552C22⋊Dic17—22no—
553C22⋊Dic17—22no—
554C22⋊Dic17—22no—
555C22⋊Dic17—41no—
556C22⋊Dic17—41no—
557C22⋊Dic17—41no—
558C22⋊Dic17—41no—
559C22⋊Dic17—41no—
560C22⋊Dic17—41no—
561C22⋊Dic17—41no—
562C22⋊Dic17—41no—
563#63227—22no—
564#63227—22no—
565#63227—22no—
566#63227—22no—
567#63227—22no—
568#63227—41no—
569#63227—41no—
570#63227—41no—
571#63227—41no—
572#63227—41no—
573#63227—41no—
574#63227—41no—
575#63227—41no—
576#63227—41no—
577#63227—41no—
578#63227—41no—
579#63227—41no—
580#63227—41no—
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—
592#63227—41no—
593#63227—41no—
594#63227—41no—
595C4⋊Dic17—41no—
596C4⋊Dic17—41no—
597C4⋊Dic17—41no—
598#63225—22no—
599#63225—22no—
600#63225—41no—
601#63225—41no—
602#63225—41no—
603#63225—41no—
604#63225—41no—
605#63225—41no—
606#63225—41no—
607#63225—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—28no—
626C23×C17—21no—
627C23×C17—21no—
628C23×C17—21no—
629C23×C17—21no—
630C23×C17—21no—
631C23×C17—21no—
632C23×C17—21no—
633C23×C17—44no—
634C23×C17—44no—
635C23×C17—82no—
636C23×C17—82no—
637C23×C17—82no—
638C23×C17—82no—
639C23×C17C2×#4112yes—
640C23×C17C2×#4112yes—
641C23×C17C2×#4112yes—
642C23×C17H(5,𝔽2)12yes—
643C23×C17H(5,𝔽2)12yes—
644C23×C17C2511yescharacteristic
645C22×D17—28no—
646C22×D17—21no—
647C22×D17—21no—
648C22×D17—21no—
649C22×D17—21no—
650C22×D17—21no—
651C22×D17—21no—
652C22×D17—21no—
653C22×D17—21no—
654C22×D17—21no—
655C22×D17—21no—
656C22×D17—21no—
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—21no—
670C22×D17—21no—
671C22×D17—21no—
672C22×D17—44no—
673C22×D17—44no—
674C22×D17—44no—
675C22×D17—44no—
676C22×D17—44no—
677C22×D17—44no—
678C22×D17—44no—
679C22×D17—82no—
680C22×D17—82no—
681C22×D17—82no—
682C22×D17—82no—
683C22×D17—82no—
684C22×D17—82no—
685C22×D17H(5,𝔽2)12yes—
686C22×D17H(5,𝔽2)12yes—
687D4×C17—44no—
688D4×C17—82no—
689D4×C17—82no—
690C2×C4×C17—21no—
691C2×C4×C17—21no—
692C2×C4×C17—21no—
693C2×C4×C17—21no—
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×C17—82no—
726C22⋊D17—44no—
727C22⋊D17—44no—
728C22⋊D17—44no—
729C22⋊D17—44no—
730C22⋊D17—44no—
731C22⋊D17—44no—
732C22⋊D17—44no—
733C22⋊D17—44no—
734C22⋊D17—82no—
735C22⋊D17—82no—
736C22⋊D17—82no—
737C22⋊D17—82no—
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—44no—
774C2×Dic17—44no—
775C2×Dic17—44no—
776C2×Dic17—82no—
777C2×Dic17—82no—
778C2×Dic17—82no—
779C2×Dic17H(5,𝔽2)12yes—
780D68—82no—
781D68—82no—
782D68—82no—
783D68—82no—
784C4×D17—44no—
785C4×D17—44no—
786C4×D17—44no—
787C4×D17—44no—
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#2668—171no—
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#2321D1711yescharacteristic, complemented
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—22no—
827C22×C17—22no—
828C22×C17—22no—
829C22×C17—22no—
830C22×C17—22no—
831C22×C17—22no—
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—88no—
848C22×C17#53814yes—
849C22×C17C22×#4111yescharacteristic
850C22×C17C2×H(5,𝔽2)11yescharacteristic
851C22×C17C2×H(5,𝔽2)11yescharacteristic
852C22×C17C2×H(5,𝔽2)11yescharacteristic
853C22×C17C2×H(5,𝔽2)11yescharacteristic
854C22×C17C2×H(5,𝔽2)11yescharacteristic
855C22×C17#58511yescharacteristic
856C2×D17—22no—
857C2×D17—22no—
858C2×D17—22no—
859C2×D17—22no—
860C2×D17—22no—
861C2×D17—22no—
862C2×D17—416no—
863C2×D17—41no—
864C2×D17—41no—
865C2×D17—41no—
866C2×D17—41no—
867C2×D17—41no—
868C2×D17—41no—
869C2×D17—41no—
870C2×D17—41no—
871C2×D17—41no—
872C2×D17—41no—
873C2×D17—41no—
874C2×D17—41no—
875C2×D17—41no—
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—41no—
885C2×D17—88no—
886C4×C17—41no—
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—
896C4×C17—41no—
897Dic17—22no—
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×#121—171no—
923C2×#121—171no—
924C2×#120—171no—
925C2×#120—171no—
926C2×#120—171no—
927C2×#120—171no—
928C2×#120—171no—
929C2×#120—171no—
930C2×#120C2×D1711yescharacteristic
931C2×C4×D4C2×D1711yescharacteristic, complemented
932C22×C22⋊C4—171no—
933C22×C22⋊C4—171no—
934C22×C22⋊C4—171no—
935C22×C22⋊C4C2×D1711yescharacteristic
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#399—171no—
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#397—171no—
955#397—171no—
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#394—171no—
970#394—171no—
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#392—171no—
984#390—171no—
985#390—171no—
986#390C2×D1711yescharacteristic, complemented
987#390C2×D1711yescharacteristic, complemented
988#388—171no—
989#388—171no—
990#388—171no—
991#388—171no—
992#388—171no—
993#388—171no—
994#388C2×D1711yescharacteristic, complemented
995#388C2×D1711yescharacteristic, complemented
996#388C2×D1711yescharacteristic, complemented
997#388C2×D1711yescharacteristic, complemented
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#386—171no—
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#385C2×D1711yescharacteristic, complemented
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
1061C4×C22⋊C4C2×D1711yescharacteristic, complemented
1062C2×#95—171no—
1063C2×#95—171no—
1064C2×C17—24no—
1065C2×C17—42no—
1066C2×C17—42no—
1067C2×C17—81no—
1068C2×C17C2×#53811yescharacteristic
1069C2×C17#349011yescharacteristic
1070C2×C17#350511yescharacteristic
1071C2×C17#353211yescharacteristic
1072C2×C17#353411yescharacteristic
1073C2×C17#353411yescharacteristic
1074C2×C17#353711yescharacteristic
1075D17—42no—
1076D17—42no—
1077D17—81no—
1078D17—81no—
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—171no—
1096C22×D4—171no—
1097C22×D4—171no—
1098C22×D4—171no—
1099C22×D4—344no—
1100C22×D4—344no—
1101C22×D4—682no—
1102C22×D4—682no—
1103C22×D4—682no—
1104C22×D4—682no—
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—682no—
1119C23×C4—682no—
1120C23×C4—682no—
1121C23×C4C22×D1711yescharacteristic
1122C23×C4C22×D1711yescharacteristic
1123C23×C4C22×D1711yescharacteristic
1124#124—682no—
1125#123—682no—
1126#123—682no—
1127C22⋊Q8—682no—
1128C22⋊Q8—682no—
1129#121—682no—
1130#121—682no—
1131#121—682no—
1132#121—682no—
1133#121—682no—
1134#121—682no—
1135#121—682no—
1136#120—24no—
1137#120—682no—
1138#120—682no—
1139#120—682no—
1140#120—682no—
1141#120—682no—
1142#120—682no—
1143C4×D4—42no—
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—42no—
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—171no—
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×C42C22×D1711yescharacteristic
1225C2×C42C22×D1711yescharacteristic
1226C2×C42C22×D1711yescharacteristic
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—22no—
1270C24—41no—
1271C24—41no—
1272C24—41no—
1273C24—41no—
1274C24—171no—
1275C24—171no—
1276C24—171no—
1277C24—171no—
1278C24—342no—
1279C24—342no—
1280C24—342no—
1281C24—342no—
1282C24—342no—
1283C24—342no—
1284C24—681no—
1285C24—681no—
1286C24—681no—
1287C24—681no—
1288C24—681no—
1289C24—681no—
1290C24—681no—
1291C24—681no—
1292C24#6325214yes—
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—41no—
1306C2×D4—41no—
1307C2×D4—41no—
1308C2×D4—41no—
1309C2×D4—342no—
1310C2×D4—342no—
1311C2×D4—342no—
1312C2×D4—342no—
1313C2×D4—342no—
1314C2×D4—342no—
1315C2×D4—342no—
1316C2×D4—342no—
1317C2×D4—342no—
1318C2×D4—342no—
1319C2×D4—342no—
1320C2×D4—342no—
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—681no—
1333C2×D4—681no—
1334C2×D4—681no—
1335C2×D4—681no—
1336C2×D4—681no—
1337C2×D4—681no—
1338C2×D4—681no—
1339C2×D4—681no—
1340C2×D4—681no—
1341C2×D4—681no—
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—22no—
1361C22×C4—41no—
1362C22×C4—41no—
1363C22×C4—41no—
1364C22×C4—41no—
1365C22×C4—41no—
1366C22×C4—41no—
1367C22×C4—41no—
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—171no—
1379C22×C4—171no—
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—342no—
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—6816no—
1398C22×C4—681no—
1399C22×C4—681no—
1400C22×C4—681no—
1401C22×C4—681no—
1402C22×C4—681no—
1403C22×C4—681no—
1404C22×C4—681no—
1405C22×C4—681no—
1406C22×C4—681no—
1407C22×C4—681no—
1408C22×C4—681no—
1409C22×C4—681no—
1410C22×C4—681no—
1411C22×C4C23×D1711yescharacteristic
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—41no—
1423C4⋊C4—41no—
1424C4⋊C4—41no—
1425C4⋊C4—342no—
1426C4⋊C4—342no—
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—22no—
1442C22⋊C4—22no—
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—681no—
1464C22⋊C4—681no—
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—41no—
1499C42—41no—
1500C42—41no—
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—28no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—44no—
1526C23—44no—
1527C23—82no—
1528C23—82no—
1529C23—82no—
1530C23—82no—
1531C23—172no—
1532C23—172no—
1533C23—348no—
1534C23—341no—
1535C23—341no—
1536C23—341no—
1537C23—341no—
1538C23—341no—
1539C23—341no—
1540C23—341no—
1541C23—341no—
1542C23—341no—
1543C23—341no—
1544C23—341no—
1545C23—341no—
1546C23—341no—
1547C23—341no—
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—684no—
1561C23—684no—
1562C23—684no—
1563C23—684no—
1564C23—684no—
1565C23—684no—
1566C23—684no—
1567C23—1362no—
1568C23—1362no—
1569C23—1362no—
1570C23—1362no—
1571C23—1362no—
1572C23—1362no—
1573C23C2×#6325212yes—
1574C23C2×#6325212yes—
1575C23C2×#6325212yes—
1576C23#1058769112yes—
1577C23#1058769612yes—
1578C23C24×D1711yescharacteristic
1579Q8—1362no—
1580D4—44no—
1581D4—82no—
1582D4—82no—
1583D4—684no—
1584D4—684no—
1585D4—684no—
1586D4—684no—
1587D4—684no—
1588D4—684no—
1589D4—684no—
1590D4—684no—
1591D4—1362no—
1592D4—1362no—
1593D4—1362no—
1594D4—1362no—
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—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—44no—
1633C2×C4—82no—
1634C2×C4—82no—
1635C2×C4—172no—
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—341no—
1670C2×C4—341no—
1671C2×C4—684no—
1672C2×C4—684no—
1673C2×C4—684no—
1674C2×C4—684no—
1675C2×C4—684no—
1676C2×C4—684no—
1677C2×C4—684no—
1678C2×C4—1362no—
1679C2×C4—1362no—
1680C2×C4—1362no—
1681C22—22no—
1682C22—22no—
1683C22—22no—
1684C22—22no—
1685C22—22no—
1686C22—22no—
1687C22—22no—
1688C22—22no—
1689C22—22no—
1690C22—22no—
1691C22—22no—
1692C22—22no—
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—88no—
1709C22—342no—
1710C22—342no—
1711C22—342no—
1712C22—342no—
1713C22—342no—
1714C22—342no—
1715C22—6816no—
1716C22—681no—
1717C22—681no—
1718C22—681no—
1719C22—681no—
1720C22—681no—
1721C22—681no—
1722C22—681no—
1723C22—681no—
1724C22—681no—
1725C22—681no—
1726C22—681no—
1727C22—681no—
1728C22—681no—
1729C22—681no—
1730C22—681no—
1731C22—681no—
1732C22—681no—
1733C22—681no—
1734C22—681no—
1735C22—681no—
1736C22—681no—
1737C22—681no—
1738C22—1368no—
1739C22#1176339214yes—
1740C22C22×#6325211yescharacteristic
1741C22H(5,𝔽2)×D1711yescharacteristic
1742C22H(5,𝔽2)×D1711yescharacteristic
1743C22H(5,𝔽2)×D1711yescharacteristic
1744C22C2×#1058769111yescharacteristic
1745C22C2×#1058769611yescharacteristic
1746C22#1176364411yescharacteristic
1747C4—41no—
1748C4—41no—
1749C4—41no—
1750C4—41no—
1751C4—41no—
1752C4—41no—
1753C4—41no—
1754C4—41no—
1755C4—41no—
1756C4—41no—
1757C4—41no—
1758C4—342no—
1759C4—681no—
1760C4—681no—
1761C4—681no—
1762C4—681no—
1763C4—681no—
1764C4—681no—
1765C4—681no—
1766C4—681no—
1767C4—681no—
1768C4—681no—
1769C4—681no—
1770C2—24no—
1771C2—42no—
1772C2—42no—
1773C2—81no—
1774C2—682no—
1775C2—682no—
1776C2—1361no—
1777C2—1361no—
1778C2C2×#1176339211yescharacteristic
1779C2#1454246911yescharacteristic
1780C2#1454261411yescharacteristic
1781C2#1454293811yescharacteristic
1782C2#1454296411yescharacteristic
1783C2#1454297511yescharacteristic
1784C2#1454301611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D17
commutator, socle, cosocleC23×C17C25
FittingC17×#2321C2
hypercenter#2321D17
hypocenterC17#36776
LCSG ▷ C23×C17 ▷ C17
UCSC1 ◁ C23 ◁ #2321

Complements

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

NH ≅ G/Ntype
1. #14537079C2semidirect
2. #14537065C2semidirect
3. #14536399C2semidirect
4. #14536397C2semidirect
5. #14536160C2semidirect
6. #14536020C2semidirect
7. #14536005C2semidirect
8. #14536002C2semidirect
9. #14535924C2semidirect
10. #14535424C2semidirect
11. #14535344C2semidirect
12. #14535331C2semidirect
13. #14535224C2semidirect
14. #14535217C2semidirect
15. #14535165C2semidirect
16. #14535106C2semidirect
17. #14535082C2semidirect
18. #14534989C2semidirect
19. #14534740C2semidirect
20. #14534714C2semidirect
21. #14533338C2semidirect
22. #14532910C2semidirect
23. #14532528C2semidirect
24. #14532450C2semidirect
25. #14532314C2semidirect
26. #14532159C2semidirect
27. #14532159C2semidirect
28. #14532097C2semidirect
29. #14531359C2semidirect
30. C2×#11762685C2semidirect
31. C17×#2321C2semidirect
34. C23×C4×D17C22semidirect
35. C2×#10587561C22semidirect
36. C2×#10587580C22semidirect
37. C2×#10587580C22semidirect
38. C2×#10587564C22semidirect
39. C2×#10587564C22semidirect
40. C2×#10587616C22semidirect
41. C2×#10587570C22semidirect
42. C2×#10587570C22semidirect
45. C2×#10587625C22semidirect
46. C2×#10587625C22semidirect
51. C2×#10587623C22semidirect
52. C2×#10587623C22semidirect
55. C22×#63227C22semidirect
56. C17⋊#401C22semidirect
57. C17⋊#401C22semidirect
58. #11762751C22semidirect
59. #11762751C22semidirect
60. #11762750C22semidirect
61. #11762750C22semidirect
62. #11762748C22semidirect
63. #11762747C22semidirect
64. #11762747C22semidirect
65. #11762745C22semidirect
66. #11762738C22semidirect
67. #11762738C22semidirect
68. #11762738C22semidirect
69. #11762738C22semidirect
70. #11762737C22semidirect
71. #11762737C22semidirect
72. #11762736C22semidirect
73. #11762736C22semidirect
74. #11762735C22semidirect
75. #11762735C22semidirect
76. #11762732C22semidirect
77. #11762732C22semidirect
78. #11762731C22semidirect
79. #11762731C22semidirect
80. #11762727C22semidirect
81. #11762727C22semidirect
82. #11762726C22semidirect
83. #11762725C22semidirect
84. #11762725C22semidirect
87. #11762724C22semidirect
88. #11762724C22semidirect
89. #11762724C22semidirect
90. #11762724C22semidirect
91. #11762722C22semidirect
92. #11762722C22semidirect
93. #11762721C22semidirect
94. #11762721C22semidirect
99. #11762718C22semidirect
102. #11762717C22semidirect
103. #11762717C22semidirect
104. #11762711C22semidirect
105. #11762711C22semidirect
106. #11762700C22semidirect
107. #11762700C22semidirect
108. #11762700C22semidirect
109. #11762700C22semidirect
110. #11762700C22semidirect
111. #11762700C22semidirect
112. #11762693C22semidirect
113. #11762693C22semidirect
114. #11762689C22semidirect
115. #11762689C22semidirect
120. #11762688C22semidirect
121. #11762688C22semidirect
122. #11762687C22semidirect
123. #11762687C22semidirect
124. #11762687C22semidirect
125. #11762687C22semidirect
132. #11762686C22semidirect
133. #11762686C22semidirect
134. #11762686C22semidirect
135. #11762686C22semidirect
136. #11762686C22semidirect
137. #11762686C22semidirect
142. #11762685C22semidirect
143. #11762685C22semidirect
144. #11762685C22semidirect
145. #11762685C22semidirect
146. #11762685C22semidirect
147. #11762685C22semidirect
148. #11762684C22semidirect
149. #11762684C22semidirect
150. #11762681C22semidirect
151. #11762681C22semidirect
152. #11762681C22semidirect
153. #11762681C22semidirect
154. #11762680C22semidirect
155. #11762680C22semidirect
156. #11762677C22semidirect
157. #11762672C22semidirect
158. #11762671C22semidirect
159. #11762671C22semidirect
160. #11762670C22semidirect
161. #11762670C22semidirect
162. #11762668C22semidirect
163. #11762668C22semidirect
164. #11762667C22semidirect
165. #11762667C22semidirect
166. #11762664C22semidirect
167. #11762664C22semidirect
168. #11762664C22semidirect
169. #11762664C22semidirect
170. C2×#10587502C22semidirect
171. C2×#10587502C22semidirect
173. C2×C4×D4×C17C22semidirect
175. C17×#390C22semidirect
176. C17×#390C22semidirect
177. C17×#388C22semidirect
178. C17×#388C22semidirect
179. C17×#388C22semidirect
180. C17×#388C22semidirect
181. C17×#386C22semidirect
182. C17×#386C22semidirect
183. C17×#386C22semidirect
184. C17×#385C22semidirect
186. C4×C22⋊C4×C17C22semidirect
817. #2321D17semidirect
931. C2×C4×D4C2×D17semidirect
986. #390C2×D17semidirect
987. #390C2×D17semidirect
994. #388C2×D17semidirect
995. #388C2×D17semidirect
996. #388C2×D17semidirect
997. #388C2×D17semidirect
1034. #386C2×D17semidirect
1035. #386C2×D17semidirect
1036. #386C2×D17semidirect
1045. #385C2×D17semidirect
1061. C4×C22⋊C4C2×D17semidirect
1267. C17#36776semidirect

Maximal subgroups

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

subgroupindex
#145370792
#145370652
#145363992
#145363972
#145361602
#145360202
#145360052
#145360022
#145359242
#145354242
#145353442
#145353312
#145352242
#145352172
#145351652
#145351062
#145350822
#145349892
#145347402
#145347142
#145333382
#145329102
#145325282
#145324502
#145323142
#145321592
#145320972
#145313592
C2×#117626852
C17×#23212
#3677617