Finite Group Databasebeta

← #17241430

Subgroups — #17241430

Order 4352.

3282 conjugacy classes of subgroups.

The subgroup lattice has 1908 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#14537062C211yesmaximal, characteristic, complemented
2#14537060C211yesmaximal, characteristic, complemented
3#14535829C211yesmaximal, characteristic, complemented
4#14535823C211yesmaximal, characteristic, complemented
5#14535823C211yesmaximal, characteristic, complemented
6#14535821C211yesmaximal, characteristic, complemented
7#14535346C211yesmaximal, characteristic, complemented
8#14535342C211yesmaximal, characteristic, complemented
9#14535180C211yesmaximal, characteristic, complemented
10#14535169C211yesmaximal, characteristic, complemented
11#14535168C211yesmaximal, characteristic, complemented
12#14535164C211yesmaximal, characteristic, complemented
13#14535159C211yesmaximal, characteristic, complemented
14#14535109C211yesmaximal, characteristic, complemented
15#14535106C211yesmaximal, characteristic, complemented
16#14535012C211yesmaximal, characteristic, complemented
17#14534991C211yesmaximal, characteristic, complemented
18#14534590C211yesmaximal, characteristic, complemented
19#14534523C211yesmaximal, characteristic, complemented
20#14533033C211yesmaximal, characteristic, complemented
21#14533026C211yesmaximal, characteristic, complemented
22#14532911C211yesmaximal, characteristic, complemented
23#14532908C211yesmaximal, characteristic, complemented
24#14532327C211yesmaximal, characteristic, complemented
25#14532321C211yesmaximal, characteristic, complemented
26#14532253C211yesmaximal, characteristic, complemented
27#14532239C211yesmaximal, characteristic, complemented
28#14531446C211yesmaximal, characteristic, complemented
29#14531443C211yesmaximal, characteristic, complemented
30D17×#379C211yesmaximal, characteristic, complemented
31C17×#2685C211yesmaximal, characteristic, complemented
32C25×D17C2211yescharacteristic
33C2×#10587584C2211yescharacteristic, complemented
34C2×#10587571C2211yescharacteristic, complemented
35C2×#10587571C2211yescharacteristic, complemented
36C2×#10587580C2211yescharacteristic, complemented
37C2×#10587621C2211yescharacteristic, complemented
38C2×#10587583C2211yescharacteristic, complemented
39C2×#10587570C2211yescharacteristic, complemented
40C2×#10587570C2211yescharacteristic, complemented
41C2×#10587625C2211yescharacteristic, complemented
42C2×#10587568C2211yescharacteristic
43C2×#10587568C2211yescharacteristic
44C2×#10587568C2211yescharacteristic
45C2×#10587568C2211yescharacteristic
46C2×#10587568C2211yescharacteristic
47C2×#10587568C2211yescharacteristic
48C2×#10587639C2211yescharacteristic
49C2×#10587623C2211yescharacteristic
50C2×#10587623C2211yescharacteristic
51C2×#10587623C2211yescharacteristic
52C2×#10587623C2211yescharacteristic
53C2×#10587623C2211yescharacteristic
54C2×#10587623C2211yescharacteristic
55C2×C4×D68C2211yescharacteristic, complemented
56C2×#10587567C2211yescharacteristic, complemented
57C2×C22⋊C4×D17C2211yescharacteristic
58C2×C22⋊C4×D17C2211yescharacteristic
59C2×C22⋊C4×D17C2211yescharacteristic
60C2×C22⋊C4×D17C2211yescharacteristic
61C2×C22⋊C4×D17C2211yescharacteristic
62C2×C22⋊C4×D17C2211yescharacteristic
63#11762745C2211yescharacteristic, complemented
64#11762744C2211yescharacteristic, complemented
65#11762744C2211yescharacteristic, complemented
66#11762738C2211yescharacteristic, complemented
67#11762738C2211yescharacteristic, complemented
68#11762737C2211yescharacteristic, complemented
69#11762737C2211yescharacteristic, complemented
70#11762737C2211yescharacteristic, complemented
71#11762737C2211yescharacteristic, complemented
72#11762736C2211yescharacteristic, complemented
73#11762736C2211yescharacteristic, complemented
74#11762735C2211yescharacteristic, complemented
75#11762735C2211yescharacteristic, complemented
76#11762734C2211yescharacteristic, complemented
77#11762734C2211yescharacteristic, complemented
78#11762733C2211yescharacteristic, complemented
79#11762732C2211yescharacteristic, complemented
80#11762732C2211yescharacteristic, complemented
81#11762732C2211yescharacteristic, complemented
82#11762731C2211yescharacteristic, complemented
83#11762731C2211yescharacteristic, complemented
84#11762731C2211yescharacteristic, complemented
85#11762727C2211yescharacteristic, complemented
86#11762726C2211yescharacteristic, complemented
87#11762726C2211yescharacteristic, complemented
88#11762726C2211yescharacteristic, complemented
89#11762725C2211yescharacteristic, complemented
90#11762725C2211yescharacteristic, complemented
91#11762725C2211yescharacteristic, complemented
92#11762725C2211yescharacteristic, complemented
93#11762725C2211yescharacteristic, complemented
94#11762724C2211yescharacteristic, complemented
95#11762724C2211yescharacteristic, complemented
96#11762724C2211yescharacteristic, complemented
97#11762722C2211yescharacteristic, complemented
98#11762722C2211yescharacteristic, complemented
99#11762721C2211yescharacteristic, complemented
100#11762721C2211yescharacteristic, complemented
101#11762718C2211yescharacteristic, complemented
102#11762718C2211yescharacteristic, complemented
103#11762717C2211yescharacteristic, complemented
104#11762717C2211yescharacteristic, complemented
105#11762712C2211yescharacteristic, complemented
106#11762711C2211yescharacteristic, complemented
107#11762710C2211yescharacteristic, complemented
108#11762710C2211yescharacteristic, complemented
109#11762709C2211yescharacteristic, complemented
110#11762709C2211yescharacteristic, complemented
111#11762703C2211yescharacteristic, complemented
112#11762703C2211yescharacteristic, complemented
113#11762703C2211yescharacteristic, complemented
114#11762703C2211yescharacteristic, complemented
115#11762702C2211yescharacteristic, complemented
116#11762702C2211yescharacteristic, complemented
117#11762702C2211yescharacteristic, complemented
118#11762701C2211yescharacteristic, complemented
119#11762701C2211yescharacteristic, complemented
120#11762700C2211yescharacteristic, complemented
121#11762700C2211yescharacteristic, complemented
122#11762700C2211yescharacteristic, complemented
123#11762700C2211yescharacteristic, complemented
124#11762700C2211yescharacteristic, complemented
125#11762699C2211yescharacteristic, complemented
126#11762699C2211yescharacteristic, complemented
127#11762699C2211yescharacteristic, complemented
128#11762699C2211yescharacteristic, complemented
129#11762698C2211yescharacteristic, complemented
130#11762697C2211yescharacteristic, complemented
131#11762697C2211yescharacteristic, complemented
132#11762689C2211yescharacteristic, complemented
133#11762687C2211yescharacteristic, complemented
134#11762687C2211yescharacteristic, complemented
135#11762687C2211yescharacteristic, complemented
136#11762686C2211yescharacteristic, complemented
137#11762686C2211yescharacteristic, complemented
138#11762686C2211yescharacteristic, complemented
139#11762685C2211yescharacteristic, complemented
140#11762685C2211yescharacteristic, complemented
141#11762685C2211yescharacteristic, complemented
142#11762685C2211yescharacteristic, complemented
143#11762685C2211yescharacteristic, complemented
144#11762680C2211yescharacteristic, complemented
145#11762680C2211yescharacteristic, complemented
146#11762680C2211yescharacteristic, complemented
147#11762680C2211yescharacteristic, complemented
148#11762668C2211yescharacteristic, complemented
149#11762666C2211yescharacteristic, complemented
150#11762665C2211yescharacteristic
151#11762665C2211yescharacteristic
152#11762664C2211yescharacteristic
153#11762664C2211yescharacteristic
154#11762664C2211yescharacteristic
155#11762664C2211yescharacteristic
156#11762664C2211yescharacteristic
157#11762664C2211yescharacteristic
158#11762664C2211yescharacteristic
159#11762664C2211yescharacteristic
160#11762664C2211yescharacteristic
161#11762664C2211yescharacteristic
162#11762664C2211yescharacteristic
163#11762664C2211yescharacteristic
164#11762664C2211yescharacteristic
165#11762664C2211yescharacteristic
166#11762664C2211yescharacteristic
167#11762664C2211yescharacteristic
168#11762664C2211yescharacteristic
169#11762664C2211yescharacteristic
170C4×#63227C2211yescharacteristic, complemented
171#11762656C2211yescharacteristic, complemented
172C2×C17×#126C2211yescharacteristic, complemented
173C2×C17×#120C2211yescharacteristic
174C17×#399C2211yescharacteristic, complemented
175C17×#396C2211yescharacteristic, complemented
176C17×#394C2211yescharacteristic, complemented
177C17×#394C2211yescharacteristic, complemented
178C17×#394C2211yescharacteristic, complemented
179C17×#394C2211yescharacteristic, complemented
180C17×#390C2211yescharacteristic, complemented
181C17×#390C2211yescharacteristic, complemented
182C17×#388C2211yescharacteristic, complemented
183C17×#388C2211yescharacteristic, complemented
184C17×#388C2211yescharacteristic, complemented
185C17×#379C2211yescharacteristic
186C17×#379C2211yescharacteristic
187C25×C17C2311yescharacteristic
188C24×D17—24no—
189C24×D17—42no—
190C24×D17—42no—
191C24×D17—42no—
192C24×D17—42no—
193C24×D17—42no—
194C24×D17—42no—
195C24×D17C2311yescharacteristic
196C24×D17C2311yescharacteristic
197C24×D17C2311yescharacteristic
198C24×D17C2311yescharacteristic
199C24×D17C2311yescharacteristic
200C24×D17C2311yescharacteristic
201C22×D4×C17C2311yescharacteristic
202C22×D4×C17C2311yescharacteristic
203C22×D4×C17C2311yescharacteristic
204C22×C22⋊D17C2311yescharacteristic
205C22×C22⋊D17C2311yescharacteristic
206C22×C22⋊D17C2311yescharacteristic
207C22×C22⋊D17C2311yescharacteristic
208C22×C22⋊D17C2311yescharacteristic
209C22×C22⋊D17C2311yescharacteristic
210C22×C22⋊D17C2311yescharacteristic
211C22×C22⋊D17C2311yescharacteristic, complemented
212C23×Dic17C2311yescharacteristic, complemented
213C22×D68C2311yescharacteristic
214C22×D68C2311yescharacteristic
215C22×D68C2311yescharacteristic
216C22×D68C2311yescharacteristic
217C22×C4×D17C2311yescharacteristic
218C22×C4×D17C2311yescharacteristic
219C22×C4×D17C2311yescharacteristic
220C22×C4×D17C2311yescharacteristic
221C22×C4×D17C2311yescharacteristic, complemented
222C22×Dic34C2311yescharacteristic, complemented
223C17×#126—42no—
224C17×#120—42no—
225C2×C4⋊C4×C17C2311yescharacteristic, complemented
226C2×C4⋊C4×C17C2311yescharacteristic, complemented
227C2×C4⋊C4×C17C2311yescharacteristic, complemented
228C2×C4⋊C4×C17C2311yescharacteristic, complemented
229C2×C4⋊C4×C17C2311yescharacteristic, complemented
230C2×C4⋊C4×C17C2311yescharacteristic, complemented
231C2×C22⋊C4×C17C2311yescharacteristic
232C2×C22⋊C4×C17C2311yescharacteristic
233C2×C22⋊C4×C17C2311yescharacteristic
234C2×C22⋊C4×C17C2311yescharacteristic
235C2×C22⋊C4×C17C2311yescharacteristic
236C2×C22⋊C4×C17C2311yescharacteristic
237C2×C22⋊C4×C17C2311yescharacteristic
238C2×C22⋊C4×C17C2311yescharacteristic
239C2×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, complemented
247C2×C22⋊C4×C17C2311yescharacteristic, complemented
248C2×C22⋊C4×C17C2311yescharacteristic, complemented
249C2×C22⋊C4×C17C2311yescharacteristic, complemented
250C2×C42×C17C2311yescharacteristic, complemented
251C2×C42×C17C2311yescharacteristic, complemented
252#10587639—42no—
253C2×C22⋊Dic17C2311yescharacteristic
254C2×C22⋊Dic17C2311yescharacteristic
255C2×C22⋊Dic17C2311yescharacteristic
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, complemented
269C2×C22⋊Dic17C2311yescharacteristic, complemented
270#10587625—42no—
271#10587623—24no—
272#10587623—42no—
273#10587623—42no—
274#10587623—42no—
275#10587623—42no—
276#10587623—42no—
277#10587621—42no—
278C2×#63227C2311yescharacteristic
279C2×#63227C2311yescharacteristic
280C2×#63227C2311yescharacteristic
281C2×#63227C2311yescharacteristic
282C2×#63227C2311yescharacteristic
283C2×#63227C2311yescharacteristic
284C2×#63227C2311yescharacteristic
285C2×#63227C2311yescharacteristic
286C2×#63227C2311yescharacteristic
287C2×#63227C2311yescharacteristic
288C2×#63227C2311yescharacteristic
289C2×#63227C2311yescharacteristic
290C2×#63227C2311yescharacteristic
291C2×#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×#63227C2311yescharacteristic
312C2×#63227C2311yescharacteristic
313C2×#63227C2311yescharacteristic
314C2×#63227C2311yescharacteristic, complemented
315C2×#63227C2311yescharacteristic, complemented
316C2×#63227C2311yescharacteristic, complemented
317C2×#63227C2311yescharacteristic, complemented
318C2×#63227C2311yescharacteristic, complemented
319C2×#63227C2311yescharacteristic, complemented
320C2×C4⋊Dic17C2311yescharacteristic, complemented
321C2×C4⋊Dic17C2311yescharacteristic, complemented
322C2×C4⋊Dic17C2311yescharacteristic, complemented
323C2×C4⋊Dic17C2311yescharacteristic, complemented
324C2×#63225C2311yescharacteristic, complemented
325C2×#63225C2311yescharacteristic, complemented
326C2×#63225C2311yescharacteristic, complemented
327C2×#63225C2311yescharacteristic, complemented
328C2×#63225C2311yescharacteristic, complemented
329C2×#63225C2311yescharacteristic, complemented
330C2×#63225C2311yescharacteristic, complemented
331C2×#63225C2311yescharacteristic, complemented
332C2×C4×Dic17C2311yescharacteristic, complemented
333C2×C4×Dic17C2311yescharacteristic, complemented
334C2×C4×Dic17C2311yescharacteristic, complemented
335C2×C4×Dic17C2311yescharacteristic, complemented
336#10587584—42no—
337#10587583—42no—
338#10587580—42no—
339#10587571—42no—
340#10587571—42no—
341#10587570—42no—
342#10587570—42no—
343#10587568—24no—
344#10587568—42no—
345#10587568—42no—
346#10587568—42no—
347#10587568—42no—
348#10587568—42no—
349#10587567—42no—
350C22⋊C4×D17—42no—
351C22⋊C4×D17—42no—
352C22⋊C4×D17—42no—
353C22⋊C4×D17—42no—
354C22⋊C4×D17—42no—
355C22⋊C4×D17—42no—
356C4×D68—42no—
357C17×#95C2311yescharacteristic, complemented
358C17×#95C2311yescharacteristic, complemented
359C17×#95C2311yescharacteristic, complemented
360C17×#95C2311yescharacteristic, complemented
361#10587502C2311yescharacteristic, complemented
362#10587502C2311yescharacteristic, complemented
363#10587502C2311yescharacteristic, complemented
364#10587502C2311yescharacteristic, complemented
365#10587502C2311yescharacteristic, complemented
366#10587502C2311yescharacteristic, complemented
367#10587502C2311yescharacteristic, complemented
368#10587502C2311yescharacteristic, complemented
369#10587502C2311yescharacteristic, complemented
370#10587502C2311yescharacteristic, complemented
371#10587502C2311yescharacteristic, complemented
372#10587502C2311yescharacteristic, complemented
373#10587502C2311yescharacteristic, complemented
374#10587502C2311yescharacteristic, complemented
375#10587502C2311yescharacteristic, complemented
376#10587502C2311yescharacteristic, complemented
377#10587502C2311yescharacteristic, complemented
378#10587502C2311yescharacteristic, complemented
379#10587502C2311yescharacteristic, complemented
380#10587502C2311yescharacteristic, complemented
381C24×C17—22no—
382C24×C17—22no—
383C24×C17—22no—
384C24×C17—41no—
385C24×C17—41no—
386C24×C17—41no—
387C24×C17—41no—
388C24×C17C2411yescharacteristic
389C24×C17C2411yescharacteristic
390C24×C17C2411yescharacteristic
391C24×C17C2411yescharacteristic
392C23×D17—22no—
393C23×D17—22no—
394C23×D17—22no—
395C23×D17—22no—
396C23×D17—22no—
397C23×D17—22no—
398C23×D17—22no—
399C23×D17—22no—
400C23×D17—22no—
401C23×D17—22no—
402C23×D17—22no—
403C23×D17—22no—
404C23×D17—22no—
405C23×D17—22no—
406C23×D17—22no—
407C23×D17—22no—
408C23×D17—22no—
409C23×D17—22no—
410C23×D17—22no—
411C23×D17—22no—
412C23×D17—22no—
413C23×D17—41no—
414C23×D17—41no—
415C23×D17—41no—
416C23×D17—41no—
417C23×D17—41no—
418C23×D17—41no—
419C23×D17—41no—
420C23×D17—41no—
421C23×D17—41no—
422C23×D17—41no—
423C23×D17—41no—
424C23×D17—41no—
425C23×D17—41no—
426C23×D17—41no—
427C23×D17—41no—
428C23×D17—41no—
429C23×D17—41no—
430C23×D17—41no—
431C23×D17—41no—
432C23×D17—41no—
433C23×D17—416no—
434C23×D17—416no—
435C23×D17—416no—
436C23×D17—416no—
437C23×D17—416no—
438C23×D17—416no—
439C23×D17—416no—
440C23×D17#4114yes—
441C23×D17C2411yescharacteristic
442C23×D17C2411yescharacteristic
443C23×D17C2411yescharacteristic
444C23×D17C2411yescharacteristic
445C23×D17C2411yescharacteristic
446C2×D4×C17—22no—
447C2×D4×C17—22no—
448C2×D4×C17—22no—
449C2×D4×C17—41no—
450C2×D4×C17—41no—
451C2×D4×C17—41no—
452C2×D4×C17—41no—
453C2×D4×C17—41no—
454C2×D4×C17—41no—
455C22×C4×C17C2411yescharacteristic
456C22×C4×C17C2411yescharacteristic
457C22×C4×C17C2411yescharacteristic
458C22×C4×C17C2411yescharacteristic
459C22×C4×C17C2411yescharacteristic
460C22×C4×C17C2411yescharacteristic
461C22×C4×C17C2411yescharacteristic
462C22×C4×C17C2411yescharacteristic
463C22×C4×C17C2411yescharacteristic
464C22×C4×C17C2411yescharacteristic
465C22×C4×C17C2411yescharacteristic
466C2×C22⋊D17—22no—
467C2×C22⋊D17—22no—
468C2×C22⋊D17—22no—
469C2×C22⋊D17—22no—
470C2×C22⋊D17—22no—
471C2×C22⋊D17—22no—
472C2×C22⋊D17—22no—
473C2×C22⋊D17—22no—
474C2×C22⋊D17—22no—
475C2×C22⋊D17—41no—
476C2×C22⋊D17—41no—
477C2×C22⋊D17—41no—
478C2×C22⋊D17—41no—
479C2×C22⋊D17—41no—
480C2×C22⋊D17—41no—
481C2×C22⋊D17—41no—
482C2×C22⋊D17—41no—
483C2×C22⋊D17—41no—
484C2×C22⋊D17—41no—
485C2×C22⋊D17—41no—
486C2×C22⋊D17—41no—
487C2×C22⋊D17—41no—
488C2×C22⋊D17—41no—
489C2×C22⋊D17—41no—
490C22×Dic17—41no—
491C22×Dic17—41no—
492C22×Dic17—41no—
493C22×Dic17C2411yescharacteristic
494C22×Dic17C2411yescharacteristic
495C22×Dic17C2411yescharacteristic
496C22×Dic17C2411yescharacteristic
497C22×Dic17C2411yescharacteristic
498C22×Dic17C2411yescharacteristic
499C22×Dic17C2411yescharacteristic
500C22×Dic17C2411yescharacteristic
501C22×Dic17C2411yescharacteristic
502C22×Dic17C2411yescharacteristic
503C22×Dic17C2411yescharacteristic
504C2×D68—22no—
505C2×D68—22no—
506C2×D68—22no—
507C2×D68—22no—
508C2×D68—22no—
509C2×D68—22no—
510C2×D68—41no—
511C2×D68—41no—
512C2×D68—41no—
513C2×D68—41no—
514C2×D68—41no—
515C2×D68—41no—
516C2×C4×D17—22no—
517C2×C4×D17—22no—
518C2×C4×D17—22no—
519C2×C4×D17—22no—
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×C4×D17—41no—
527C2×C4×D17—41no—
528C2×C4×D17—41no—
529C2×C4×D17—41no—
530C2×C4×D17—41no—
531C2×Dic34—41no—
532C2×Dic34—41no—
533C2×Dic34—41no—
534C4⋊C4×C17—41no—
535C4⋊C4×C17—41no—
536C4⋊C4×C17—41no—
537C4⋊C4×C17—41no—
538C4⋊C4×C17—41no—
539C4⋊C4×C17—41no—
540C22⋊C4×C17—22no—
541C22⋊C4×C17—22no—
542C22⋊C4×C17—22no—
543C22⋊C4×C17—22no—
544C22⋊C4×C17—22no—
545C22⋊C4×C17—41no—
546C22⋊C4×C17—41no—
547C22⋊C4×C17—41no—
548C22⋊C4×C17—41no—
549C22⋊C4×C17—41no—
550C22⋊C4×C17—41no—
551C22⋊C4×C17—41no—
552C22⋊C4×C17—41no—
553C22⋊C4×C17—41no—
554C22⋊C4×C17—41no—
555C22⋊C4×C17—41no—
556C22⋊C4×C17—41no—
557C22⋊C4×C17—41no—
558C22⋊C4×C17—41no—
559C42×C17—41no—
560C42×C17—41no—
561C22⋊Dic17—22no—
562C22⋊Dic17—22no—
563C22⋊Dic17—22no—
564C22⋊Dic17—22no—
565C22⋊Dic17—22no—
566C22⋊Dic17—41no—
567C22⋊Dic17—41no—
568C22⋊Dic17—41no—
569C22⋊Dic17—41no—
570C22⋊Dic17—41no—
571C22⋊Dic17—41no—
572C22⋊Dic17—41no—
573C22⋊Dic17—41no—
574C22⋊Dic17—41no—
575C22⋊Dic17—41no—
576C22⋊Dic17—41no—
577C22⋊Dic17—41no—
578#63227—22no—
579#63227—22no—
580#63227—22no—
581#63227—22no—
582#63227—22no—
583#63227—22no—
584#63227—22no—
585#63227—22no—
586#63227—22no—
587#63227—22no—
588#63227—22no—
589#63227—22no—
590#63227—22no—
591#63227—22no—
592#63227—22no—
593#63227—22no—
594#63227—41no—
595#63227—41no—
596#63227—41no—
597#63227—41no—
598#63227—41no—
599#63227—41no—
600#63227—41no—
601#63227—41no—
602#63227—41no—
603#63227—41no—
604#63227—41no—
605#63227—41no—
606#63227—41no—
607#63227—41no—
608#63227—41no—
609#63227—41no—
610#63227—41no—
611#63227—41no—
612#63227—41no—
613#63227—41no—
614#63227—41no—
615#63227—41no—
616#63227—41no—
617#63227—41no—
618#63227—41no—
619#63227—41no—
620C4⋊Dic17—41no—
621C4⋊Dic17—41no—
622C4⋊Dic17—41no—
623C4⋊Dic17—41no—
624#63225—41no—
625#63225—41no—
626#63225—41no—
627#63225—41no—
628#63225—41no—
629#63225—41no—
630#63225—41no—
631#63225—41no—
632C4×Dic17—41no—
633C4×Dic17—41no—
634C4×Dic17—41no—
635C4×Dic17—41no—
636#36725—171nomaximal, Sylow
637C23×C17—21no—
638C23×C17—21no—
639C23×C17—21no—
640C23×C17—21no—
641C23×C17—21no—
642C23×C17—21no—
643C23×C17—21no—
644C23×C17—21no—
645C23×C17—21no—
646C23×C17—21no—
647C23×C17—21no—
648C23×C17—21no—
649C23×C17—21no—
650C23×C17—21no—
651C23×C17—21no—
652C23×C17—21no—
653C23×C17—21no—
654C23×C17—21no—
655C23×C17—21no—
656C23×C17—21no—
657C23×C17—21no—
658C23×C17—21no—
659C23×C17—21no—
660C23×C17—21no—
661C23×C17—21no—
662C23×C17—44no—
663C23×C17—44no—
664C23×C17—44no—
665C23×C17—44no—
666C23×C17—44no—
667C23×C17—44no—
668C23×C17—44no—
669C23×C17C2×#4112yes—
670C23×C17H(5,𝔽2)12yes—
671C23×C17H(5,𝔽2)12yes—
672C23×C17C2511yescharacteristic
673C22×D17—21no—
674C22×D17—21no—
675C22×D17—21no—
676C22×D17—21no—
677C22×D17—28no—
678C22×D17—28no—
679C22×D17—21no—
680C22×D17—21no—
681C22×D17—21no—
682C22×D17—21no—
683C22×D17—21no—
684C22×D17—21no—
685C22×D17—21no—
686C22×D17—21no—
687C22×D17—21no—
688C22×D17—21no—
689C22×D17—21no—
690C22×D17—21no—
691C22×D17—21no—
692C22×D17—21no—
693C22×D17—21no—
694C22×D17—21no—
695C22×D17—21no—
696C22×D17—21no—
697C22×D17—28no—
698C22×D17—21no—
699C22×D17—21no—
700C22×D17—21no—
701C22×D17—21no—
702C22×D17—21no—
703C22×D17—21no—
704C22×D17—21no—
705C22×D17—44no—
706C22×D17—44no—
707C22×D17—44no—
708C22×D17—44no—
709C22×D17—44no—
710C22×D17—44no—
711C22×D17—44no—
712C22×D17—44no—
713C22×D17—44no—
714C22×D17—44no—
715C22×D17—44no—
716C22×D17—44no—
717C22×D17—44no—
718C22×D17—44no—
719C22×D17—44no—
720C22×D17—44no—
721C22×D17—44no—
722C22×D17—44no—
723C22×D17—44no—
724C22×D17—44no—
725C22×D17—44no—
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—44no—
735C22×D17—44no—
736C22×D17—44no—
737C22×D17—44no—
738C22×D17—44no—
739C22×D17—4128no—
740C22×D17—44no—
741C22×D17—44no—
742C22×D17—44no—
743C22×D17—44no—
744C22×D17—44no—
745C22×D17C2×#4112yes—
746C22×D17C2×#4112yes—
747C22×D17H(5,𝔽2)12yes—
748C22×D17H(5,𝔽2)12yes—
749C22×D17H(5,𝔽2)12yes—
750C22×D17H(5,𝔽2)12yes—
751D4×C17—82no—
752D4×C17—82no—
753D4×C17—82no—
754C2×C4×C17—21no—
755C2×C4×C17—21no—
756C2×C4×C17—21no—
757C2×C4×C17—21no—
758C2×C4×C17—21no—
759C2×C4×C17—21no—
760C2×C4×C17—21no—
761C2×C4×C17—21no—
762C2×C4×C17—21no—
763C2×C4×C17—21no—
764C2×C4×C17—21no—
765C2×C4×C17—21no—
766C2×C4×C17—21no—
767C2×C4×C17—21no—
768C2×C4×C17—21no—
769C2×C4×C17—21no—
770C2×C4×C17—21no—
771C2×C4×C17—21no—
772C2×C4×C17—21no—
773C2×C4×C17—21no—
774C2×C4×C17—21no—
775C2×C4×C17—21no—
776C2×C4×C17—21no—
777C2×C4×C17—21no—
778C2×C4×C17—21no—
779C2×C4×C17—21no—
780C2×C4×C17—21no—
781C2×C4×C17—21no—
782C2×C4×C17—21no—
783C2×C4×C17—21no—
784C2×C4×C17—21no—
785C2×C4×C17—21no—
786C2×C4×C17—21no—
787C22⋊D17—44no—
788C22⋊D17—82no—
789C22⋊D17—82no—
790C22⋊D17—82no—
791C22⋊D17—82no—
792C22⋊D17—82no—
793C22⋊D17—82no—
794C22⋊D17—82no—
795C2×Dic17—21no—
796C2×Dic17—21no—
797C2×Dic17—21no—
798C2×Dic17—21no—
799C2×Dic17—21no—
800C2×Dic17—21no—
801C2×Dic17—21no—
802C2×Dic17—21no—
803C2×Dic17—21no—
804C2×Dic17—21no—
805C2×Dic17—21no—
806C2×Dic17—21no—
807C2×Dic17—21no—
808C2×Dic17—21no—
809C2×Dic17—21no—
810C2×Dic17—21no—
811C2×Dic17—21no—
812C2×Dic17—21no—
813C2×Dic17—21no—
814C2×Dic17—21no—
815C2×Dic17—21no—
816C2×Dic17—21no—
817C2×Dic17—21no—
818C2×Dic17—21no—
819C2×Dic17—21no—
820C2×Dic17—21no—
821C2×Dic17—21no—
822C2×Dic17—21no—
823C2×Dic17—21no—
824C2×Dic17—21no—
825C2×Dic17—21no—
826C2×Dic17—21no—
827C2×Dic17—21no—
828C2×Dic17—82no—
829D68—44no—
830D68—82no—
831D68—82no—
832D68—82no—
833C4×D17—82no—
834C4×D17—82no—
835C4×D17—82no—
836C4×D17—82no—
837C4×D17—82no—
838Dic34—82no—
839#2846—171no—
840#2846—171no—
841#2736—171no—
842#2735—171no—
843#2735—171no—
844#2735—171no—
845#2697—171no—
846#2697—171no—
847#2685—171no—
848#2685—171no—
849#2685—171no—
850#2685D1711yescharacteristic, complemented
851#2684—171no—
852#2684—171no—
853#2678—171no—
854#2678—171no—
855#2670—171no—
856#2668—171no—
857#2626—171no—
858#2617—171no—
859#2480—171no—
860#2480—171no—
861#2472—171no—
862#2472—171no—
863#2424—171no—
864#2424—171no—
865#2418—171no—
866#2418—171no—
867#2321—171no—
868#2321—171no—
869C2×#379—171no—
870C22×C17—22no—
871C22×C17—22no—
872C22×C17—22no—
873C22×C17—22no—
874C22×C17—22no—
875C22×C17—22no—
876C22×C17—22no—
877C22×C17—22no—
878C22×C17—22no—
879C22×C17—416no—
880C22×C17—41no—
881C22×C17—41no—
882C22×C17—41no—
883C22×C17—41no—
884C22×C17—41no—
885C22×C17—41no—
886C22×C17—41no—
887C22×C17—41no—
888C22×C17—41no—
889C22×C17—41no—
890C22×C17—41no—
891C22×C17—41no—
892C22×C17—41no—
893C22×C17—41no—
894C22×C17—41no—
895C22×C17—41no—
896C22×C17—41no—
897C22×C17—41no—
898C22×C17—41no—
899C22×C17C22×#4111yescharacteristic
900C22×C17C2×H(5,𝔽2)11yescharacteristic
901C22×C17C2×H(5,𝔽2)11yescharacteristic
902C22×C17C2×H(5,𝔽2)11yescharacteristic
903C22×C17C2×H(5,𝔽2)11yescharacteristic
904C22×C17C2×H(5,𝔽2)11yescharacteristic
905C22×C17C2×H(5,𝔽2)11yescharacteristic
906C2×D17—22no—
907C2×D17—22no—
908C2×D17—22no—
909C2×D17—22no—
910C2×D17—22no—
911C2×D17—22no—
912C2×D17—22no—
913C2×D17—22no—
914C2×D17—22no—
915C2×D17—22no—
916C2×D17—22no—
917C2×D17—22no—
918C2×D17—22no—
919C2×D17—22no—
920C2×D17—22no—
921C2×D17—416no—
922C2×D17—416no—
923C2×D17—416no—
924C2×D17—416no—
925C2×D17—416no—
926C2×D17—416no—
927C2×D17—41no—
928C2×D17—41no—
929C2×D17—41no—
930C2×D17—41no—
931C2×D17—41no—
932C2×D17—41no—
933C2×D17—41no—
934C2×D17—41no—
935C2×D17—41no—
936C2×D17—41no—
937C2×D17—41no—
938C2×D17—41no—
939C2×D17—41no—
940C2×D17—41no—
941C2×D17—41no—
942C2×D17—41no—
943C2×D17—41no—
944C2×D17—41no—
945C2×D17—41no—
946C2×D17#53814yes—
947C4×C17—41no—
948C4×C17—41no—
949C4×C17—41no—
950C4×C17—41no—
951C4×C17—41no—
952C4×C17—41no—
953C4×C17—41no—
954C4×C17—41no—
955C4×C17—41no—
956C4×C17—41no—
957C4×C17—41no—
958Dic17—41no—
959Dic17—41no—
960Dic17—41no—
961Dic17—41no—
962Dic17—41no—
963Dic17—41no—
964Dic17—41no—
965Dic17—41no—
966Dic17—41no—
967Dic17—41no—
968Dic17—41no—
969C26—171no—
970C2×#126—171no—
971C2×#126C2×D1711yescharacteristic, complemented
972C2×#124—171no—
973C2×#124—171no—
974C2×#123—171no—
975C2×#123—171no—
976C2×C22⋊Q8—171no—
977C2×#121—171no—
978C2×#121—171no—
979C2×#121—171no—
980C2×#120—171no—
981C2×#120—171no—
982C2×#120—171no—
983C2×#120—171no—
984C2×#120—171no—
985C2×#120—171no—
986C2×#120—171no—
987C2×#120—171no—
988C2×#120—171no—
989C2×#120—171no—
990C2×#120—171no—
991C2×#120—171no—
992C2×#120—171no—
993C2×#120C2×D1711yescharacteristic
994C2×C4×D4—171no—
995C2×C4×D4—171no—
996C22×C22⋊C4—171no—
997C22×C22⋊C4—171no—
998C22×C22⋊C4—171no—
999C22×C22⋊C4—171no—
1000C22×C22⋊C4—171no—
1001C22×C22⋊C4—171no—
1002#399—171no—
1003#399—171no—
1004#399—171no—
1005#399C2×D1711yescharacteristic, complemented
1006#397—171no—
1007#397—171no—
1008#397—171no—
1009#397—171no—
1010#397—171no—
1011#397—171no—
1012#397—171no—
1013#397—171no—
1014#397—171no—
1015#397—171no—
1016#397—171no—
1017#397—171no—
1018#396—171no—
1019#396—171no—
1020#396—171no—
1021#396—171no—
1022#396—171no—
1023#396—171no—
1024#396—171no—
1025#396C2×D1711yescharacteristic, complemented
1026#394—171no—
1027#394—171no—
1028#394—171no—
1029#394—171no—
1030#394—171no—
1031#394—171no—
1032#394—171no—
1033#394—171no—
1034#394—171no—
1035#394—171no—
1036#394—171no—
1037#394—171no—
1038#394C2×D1711yescharacteristic, complemented
1039#394C2×D1711yescharacteristic, complemented
1040#394C2×D1711yescharacteristic, complemented
1041#394C2×D1711yescharacteristic, complemented
1042#393—171no—
1043#393—171no—
1044#393—171no—
1045#393—171no—
1046#392—171no—
1047#392—171no—
1048#392—171no—
1049#392—171no—
1050#390—171no—
1051#390—171no—
1052#390—171no—
1053#390—171no—
1054#390—171no—
1055#390—171no—
1056#390C2×D1711yescharacteristic, complemented
1057#390C2×D1711yescharacteristic, complemented
1058#388—171no—
1059#388—171no—
1060#388—171no—
1061#388—171no—
1062#388—171no—
1063#388—171no—
1064#388—171no—
1065#388—171no—
1066#388—171no—
1067#388—171no—
1068#388—171no—
1069#388—171no—
1070#388—171no—
1071#388—171no—
1072#388—171no—
1073#388—171no—
1074#388—171no—
1075#388—171no—
1076#388—171no—
1077#388—171no—
1078#388—171no—
1079#388C2×D1711yescharacteristic, complemented
1080#388C2×D1711yescharacteristic, complemented
1081#388C2×D1711yescharacteristic, complemented
1082#386—171no—
1083#386—171no—
1084#386—171no—
1085#386—171no—
1086#386—171no—
1087#386—171no—
1088#386—171no—
1089#386—171no—
1090#386—171no—
1091#386—171no—
1092#386—171no—
1093#386—171no—
1094#385—171no—
1095#385—171no—
1096#385—171no—
1097#385—171no—
1098#380—171no—
1099#380—171no—
1100#379—171no—
1101#379—171no—
1102#379—171no—
1103#379—171no—
1104#379—171no—
1105#379—171no—
1106#379—171no—
1107#379—171no—
1108#379—171no—
1109#379—171no—
1110#379—171no—
1111#379—171no—
1112#379—171no—
1113#379—171no—
1114#379—171no—
1115#379—171no—
1116#379—171no—
1117#379—171no—
1118#379—171no—
1119#379—171no—
1120#379C2×D1711yescharacteristic
1121#379C2×D1711yescharacteristic
1122C4×C22⋊C4—171no—
1123C4×C22⋊C4—171no—
1124C2×C17—42no—
1125C2×C17—42no—
1126C2×C17—42no—
1127C2×C17—81no—
1128C2×C17C2×#53811yescharacteristic
1129C2×C17#349011yescharacteristic
1130C2×C17#349011yescharacteristic
1131C2×C17#353211yescharacteristic
1132C2×C17#353211yescharacteristic
1133C2×C17#353211yescharacteristic
1134C2×C17#353211yescharacteristic
1135D17—24no—
1136D17—42no—
1137D17—42no—
1138D17—42no—
1139D17—81no—
1140C25—171no—
1141C25—171no—
1142C25—171no—
1143C25—171no—
1144C25—171no—
1145C25—171no—
1146C25—344no—
1147C25—682no—
1148C25—682no—
1149C25—682no—
1150C25—682no—
1151C25—682no—
1152C25—682no—
1153C25C22×D1711yescharacteristic
1154C22×Q8—171no—
1155C22×D4—171no—
1156C22×D4—171no—
1157C22×D4—171no—
1158C22×D4—171no—
1159C22×D4—171no—
1160C22×D4—171no—
1161C22×D4—171no—
1162C22×D4—171no—
1163C22×D4—171no—
1164C22×D4—171no—
1165C22×D4—171no—
1166C22×D4—171no—
1167C22×D4C22×D1711yescharacteristic
1168C22×D4C22×D1711yescharacteristic
1169C22×D4C22×D1711yescharacteristic
1170C23×C4—171no—
1171C23×C4—171no—
1172C23×C4—171no—
1173C23×C4—171no—
1174C23×C4—171no—
1175C23×C4—171no—
1176#126—42no—
1177#126—682no—
1178#124—682no—
1179#124—682no—
1180#123—682no—
1181#123—682no—
1182C22⋊Q8—682no—
1183#121—682no—
1184#121—682no—
1185#121—682no—
1186#120—42no—
1187#120—344no—
1188#120—344no—
1189#120—682no—
1190#120—682no—
1191#120—682no—
1192#120—682no—
1193#120—682no—
1194#120—682no—
1195#120—682no—
1196#120—682no—
1197#120—682no—
1198#120—682no—
1199#120—682no—
1200C4×D4—682no—
1201C4×D4—682no—
1202C2×C4⋊C4—171no—
1203C2×C4⋊C4—171no—
1204C2×C4⋊C4—171no—
1205C2×C4⋊C4—171no—
1206C2×C4⋊C4—171no—
1207C2×C4⋊C4—171no—
1208C2×C4⋊C4—171no—
1209C2×C4⋊C4—171no—
1210C2×C4⋊C4—171no—
1211C2×C4⋊C4—171no—
1212C2×C4⋊C4—171no—
1213C2×C4⋊C4—171no—
1214C2×C4⋊C4C22×D1711yescharacteristic, complemented
1215C2×C4⋊C4C22×D1711yescharacteristic, complemented
1216C2×C4⋊C4C22×D1711yescharacteristic, complemented
1217C2×C4⋊C4C22×D1711yescharacteristic, complemented
1218C2×C4⋊C4C22×D1711yescharacteristic, complemented
1219C2×C4⋊C4C22×D1711yescharacteristic, complemented
1220C2×C22⋊C4—171no—
1221C2×C22⋊C4—171no—
1222C2×C22⋊C4—171no—
1223C2×C22⋊C4—171no—
1224C2×C22⋊C4—171no—
1225C2×C22⋊C4—171no—
1226C2×C22⋊C4—171no—
1227C2×C22⋊C4—171no—
1228C2×C22⋊C4—171no—
1229C2×C22⋊C4—171no—
1230C2×C22⋊C4—171no—
1231C2×C22⋊C4—171no—
1232C2×C22⋊C4—171no—
1233C2×C22⋊C4—171no—
1234C2×C22⋊C4—171no—
1235C2×C22⋊C4—171no—
1236C2×C22⋊C4—171no—
1237C2×C22⋊C4—171no—
1238C2×C22⋊C4—171no—
1239C2×C22⋊C4—171no—
1240C2×C22⋊C4—171no—
1241C2×C22⋊C4—171no—
1242C2×C22⋊C4—171no—
1243C2×C22⋊C4—171no—
1244C2×C22⋊C4—171no—
1245C2×C22⋊C4—171no—
1246C2×C22⋊C4—171no—
1247C2×C22⋊C4—171no—
1248C2×C22⋊C4—171no—
1249C2×C22⋊C4—171no—
1250C2×C22⋊C4—171no—
1251C2×C22⋊C4—171no—
1252C2×C22⋊C4—171no—
1253C2×C22⋊C4—171no—
1254C2×C22⋊C4—171no—
1255C2×C22⋊C4—171no—
1256C2×C22⋊C4—171no—
1257C2×C22⋊C4—171no—
1258C2×C22⋊C4—171no—
1259C2×C22⋊C4—171no—
1260C2×C22⋊C4—171no—
1261C2×C22⋊C4—171no—
1262C2×C22⋊C4—171no—
1263C2×C22⋊C4—171no—
1264C2×C22⋊C4—171no—
1265C2×C22⋊C4—171no—
1266C2×C22⋊C4—171no—
1267C2×C22⋊C4—171no—
1268C2×C22⋊C4—171no—
1269C2×C22⋊C4—171no—
1270C2×C22⋊C4—171no—
1271C2×C22⋊C4—171no—
1272C2×C22⋊C4—171no—
1273C2×C22⋊C4—171no—
1274C2×C22⋊C4—171no—
1275C2×C22⋊C4—171no—
1276C2×C22⋊C4—171no—
1277C2×C22⋊C4—171no—
1278C2×C22⋊C4—171no—
1279C2×C22⋊C4—682no—
1280C2×C22⋊C4—682no—
1281C2×C22⋊C4—682no—
1282C2×C22⋊C4—682no—
1283C2×C22⋊C4—682no—
1284C2×C22⋊C4—682no—
1285C2×C22⋊C4C22×D1711yescharacteristic
1286C2×C22⋊C4C22×D1711yescharacteristic
1287C2×C22⋊C4C22×D1711yescharacteristic
1288C2×C22⋊C4C22×D1711yescharacteristic
1289C2×C22⋊C4C22×D1711yescharacteristic
1290C2×C22⋊C4C22×D1711yescharacteristic
1291C2×C22⋊C4C22×D1711yescharacteristic
1292C2×C22⋊C4C22×D1711yescharacteristic
1293C2×C22⋊C4C22×D1711yescharacteristic
1294C2×C22⋊C4C22×D1711yescharacteristic
1295C2×C22⋊C4C22×D1711yescharacteristic
1296C2×C22⋊C4C22×D1711yescharacteristic
1297C2×C22⋊C4C22×D1711yescharacteristic
1298C2×C22⋊C4C22×D1711yescharacteristic
1299C2×C22⋊C4C22×D1711yescharacteristic
1300C2×C22⋊C4C22×D1711yescharacteristic, complemented
1301C2×C22⋊C4C22×D1711yescharacteristic, complemented
1302C2×C22⋊C4C22×D1711yescharacteristic, complemented
1303C2×C22⋊C4C22×D1711yescharacteristic, complemented
1304C2×C42—171no—
1305C2×C42—171no—
1306C2×C42—171no—
1307C2×C42—171no—
1308C2×C42C22×D1711yescharacteristic, complemented
1309C2×C42C22×D1711yescharacteristic, complemented
1310#95—171no—
1311#95—171no—
1312#95—171no—
1313#95—171no—
1314#95—171no—
1315#95—171no—
1316#95—171no—
1317#95—171no—
1318#95—171no—
1319#95—171no—
1320#95—171no—
1321#95—171no—
1322#95—171no—
1323#95—171no—
1324#95—171no—
1325#95—171no—
1326#95—171no—
1327#95—171no—
1328#95—171no—
1329#95—171no—
1330#95C22×D1711yescharacteristic, complemented
1331#95C22×D1711yescharacteristic, complemented
1332#95C22×D1711yescharacteristic, complemented
1333#95C22×D1711yescharacteristic, complemented
1334C17#3672511yescharacteristic, complemented, Sylow
1335C24—22no—
1336C24—22no—
1337C24—22no—
1338C24—41no—
1339C24—41no—
1340C24—41no—
1341C24—41no—
1342C24—171no—
1343C24—171no—
1344C24—171no—
1345C24—171no—
1346C24—174no—
1347C24—171no—
1348C24—342no—
1349C24—342no—
1350C24—342no—
1351C24—342no—
1352C24—342no—
1353C24—342no—
1354C24—342no—
1355C24—342no—
1356C24—342no—
1357C24—342no—
1358C24—342no—
1359C24—342no—
1360C24—342no—
1361C24—342no—
1362C24—342no—
1363C24—342no—
1364C24—342no—
1365C24—342no—
1366C24—342no—
1367C24—342no—
1368C24—342no—
1369C24—681no—
1370C24—681no—
1371C24—681no—
1372C24—681no—
1373C24—681no—
1374C24—681no—
1375C24—681no—
1376C24—681no—
1377C24—681no—
1378C24—681no—
1379C24—681no—
1380C24—681no—
1381C24—681no—
1382C24—681no—
1383C24—681no—
1384C24—681no—
1385C24—681no—
1386C24—681no—
1387C24—681no—
1388C24—681no—
1389C24—6816no—
1390C24—6816no—
1391C24—6816no—
1392C24—6816no—
1393C24—6816no—
1394C24—6816no—
1395C24—6816no—
1396C24C23×D1711yescharacteristic
1397C24C23×D1711yescharacteristic
1398C24C23×D1711yescharacteristic
1399C24C23×D1711yescharacteristic
1400C2×Q8—681no—
1401C2×Q8—681no—
1402C2×Q8—681no—
1403C2×D4—22no—
1404C2×D4—22no—
1405C2×D4—22no—
1406C2×D4—41no—
1407C2×D4—41no—
1408C2×D4—41no—
1409C2×D4—41no—
1410C2×D4—41no—
1411C2×D4—41no—
1412C2×D4—342no—
1413C2×D4—342no—
1414C2×D4—342no—
1415C2×D4—342no—
1416C2×D4—342no—
1417C2×D4—342no—
1418C2×D4—342no—
1419C2×D4—342no—
1420C2×D4—342no—
1421C2×D4—342no—
1422C2×D4—342no—
1423C2×D4—342no—
1424C2×D4—342no—
1425C2×D4—342no—
1426C2×D4—342no—
1427C2×D4—681no—
1428C2×D4—681no—
1429C2×D4—681no—
1430C2×D4—681no—
1431C2×D4—681no—
1432C2×D4—681no—
1433C2×D4—681no—
1434C2×D4—681no—
1435C2×D4—681no—
1436C2×D4—681no—
1437C2×D4—681no—
1438C2×D4—681no—
1439C2×D4—681no—
1440C2×D4—681no—
1441C2×D4—681no—
1442C2×D4—681no—
1443C2×D4—681no—
1444C2×D4—681no—
1445C2×D4—681no—
1446C2×D4—681no—
1447C2×D4—681no—
1448C22×C4—171no—
1449C22×C4—171no—
1450C22×C4—171no—
1451C22×C4—171no—
1452C22×C4—171no—
1453C22×C4—171no—
1454C22×C4—171no—
1455C22×C4—171no—
1456C22×C4—171no—
1457C22×C4—171no—
1458C22×C4—171no—
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×C4C23×D1711yescharacteristic
1478C22×C4C23×D1711yescharacteristic
1479C22×C4C23×D1711yescharacteristic
1480C22×C4C23×D1711yescharacteristic
1481C22×C4C23×D1711yescharacteristic
1482C22×C4C23×D1711yescharacteristic
1483C22×C4C23×D1711yescharacteristic
1484C22×C4C23×D1711yescharacteristic
1485C22×C4C23×D1711yescharacteristic
1486C22×C4C23×D1711yescharacteristic
1487C22×C4C23×D1711yescharacteristic
1488C4⋊C4—41no—
1489C4⋊C4—41no—
1490C4⋊C4—41no—
1491C4⋊C4—41no—
1492C4⋊C4—41no—
1493C4⋊C4—41no—
1494C4⋊C4—681no—
1495C4⋊C4—681no—
1496C4⋊C4—681no—
1497C4⋊C4—681no—
1498C4⋊C4—681no—
1499C4⋊C4—681no—
1500C4⋊C4—681no—
1501C4⋊C4—681no—
1502C4⋊C4—681no—
1503C4⋊C4—681no—
1504C4⋊C4—681no—
1505C4⋊C4—681no—
1506C22⋊C4—22no—
1507C22⋊C4—22no—
1508C22⋊C4—22no—
1509C22⋊C4—22no—
1510C22⋊C4—22no—
1511C22⋊C4—41no—
1512C22⋊C4—41no—
1513C22⋊C4—41no—
1514C22⋊C4—41no—
1515C22⋊C4—41no—
1516C22⋊C4—41no—
1517C22⋊C4—41no—
1518C22⋊C4—41no—
1519C22⋊C4—41no—
1520C22⋊C4—41no—
1521C22⋊C4—41no—
1522C22⋊C4—41no—
1523C22⋊C4—41no—
1524C22⋊C4—41no—
1525C22⋊C4—342no—
1526C22⋊C4—342no—
1527C22⋊C4—342no—
1528C22⋊C4—342no—
1529C22⋊C4—342no—
1530C22⋊C4—342no—
1531C22⋊C4—342no—
1532C22⋊C4—342no—
1533C22⋊C4—342no—
1534C22⋊C4—342no—
1535C22⋊C4—342no—
1536C22⋊C4—342no—
1537C22⋊C4—342no—
1538C22⋊C4—342no—
1539C22⋊C4—342no—
1540C22⋊C4—342no—
1541C22⋊C4—342no—
1542C22⋊C4—342no—
1543C22⋊C4—342no—
1544C22⋊C4—342no—
1545C22⋊C4—342no—
1546C22⋊C4—681no—
1547C22⋊C4—681no—
1548C22⋊C4—681no—
1549C22⋊C4—681no—
1550C22⋊C4—681no—
1551C22⋊C4—681no—
1552C22⋊C4—681no—
1553C22⋊C4—681no—
1554C22⋊C4—681no—
1555C22⋊C4—681no—
1556C22⋊C4—681no—
1557C22⋊C4—681no—
1558C22⋊C4—681no—
1559C22⋊C4—681no—
1560C22⋊C4—681no—
1561C22⋊C4—681no—
1562C22⋊C4—681no—
1563C22⋊C4—681no—
1564C22⋊C4—681no—
1565C22⋊C4—681no—
1566C22⋊C4—681no—
1567C22⋊C4—681no—
1568C22⋊C4—681no—
1569C22⋊C4—681no—
1570C22⋊C4—681no—
1571C22⋊C4—681no—
1572C22⋊C4—681no—
1573C22⋊C4—681no—
1574C22⋊C4—681no—
1575C22⋊C4—681no—
1576C22⋊C4—681no—
1577C22⋊C4—681no—
1578C22⋊C4—681no—
1579C22⋊C4—681no—
1580C22⋊C4—681no—
1581C22⋊C4—681no—
1582C22⋊C4—681no—
1583C22⋊C4—681no—
1584C42—41no—
1585C42—41no—
1586C42—681no—
1587C42—681no—
1588C42—681no—
1589C42—681no—
1590C23—21no—
1591C23—21no—
1592C23—21no—
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—21no—
1598C23—21no—
1599C23—21no—
1600C23—21no—
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—21no—
1606C23—21no—
1607C23—21no—
1608C23—21no—
1609C23—21no—
1610C23—21no—
1611C23—21no—
1612C23—21no—
1613C23—21no—
1614C23—21no—
1615C23—44no—
1616C23—44no—
1617C23—44no—
1618C23—44no—
1619C23—44no—
1620C23—44no—
1621C23—44no—
1622C23—172no—
1623C23—172no—
1624C23—172no—
1625C23—172no—
1626C23—172no—
1627C23—172no—
1628C23—348no—
1629C23—348no—
1630C23—348no—
1631C23—341no—
1632C23—341no—
1633C23—341no—
1634C23—341no—
1635C23—341no—
1636C23—341no—
1637C23—341no—
1638C23—341no—
1639C23—341no—
1640C23—341no—
1641C23—341no—
1642C23—341no—
1643C23—341no—
1644C23—341no—
1645C23—341no—
1646C23—341no—
1647C23—341no—
1648C23—341no—
1649C23—341no—
1650C23—341no—
1651C23—341no—
1652C23—341no—
1653C23—341no—
1654C23—341no—
1655C23—341no—
1656C23—341no—
1657C23—341no—
1658C23—341no—
1659C23—341no—
1660C23—684no—
1661C23—684no—
1662C23—684no—
1663C23—684no—
1664C23—684no—
1665C23—684no—
1666C23—684no—
1667C23—684no—
1668C23—684no—
1669C23—684no—
1670C23—684no—
1671C23—684no—
1672C23—684no—
1673C23—684no—
1674C23—684no—
1675C23—684no—
1676C23—684no—
1677C23—684no—
1678C23—684no—
1679C23—684no—
1680C23—684no—
1681C23—684no—
1682C23—684no—
1683C23—684no—
1684C23—684no—
1685C23—684no—
1686C23—684no—
1687C23—684no—
1688C23—684no—
1689C23—684no—
1690C23—684no—
1691C23—684no—
1692C23—684no—
1693C23—684no—
1694C23—684no—
1695C23—684no—
1696C23—68128no—
1697C23—684no—
1698C23—684no—
1699C23—684no—
1700C23#1058769112yes—
1701C23#41×D1712yes—
1702C23#1058769612yes—
1703C23C24×D1711yescharacteristic
1704Q8—1362no—
1705D4—82no—
1706D4—82no—
1707D4—82no—
1708D4—684no—
1709D4—684no—
1710D4—1362no—
1711D4—1362no—
1712D4—1362no—
1713D4—1362no—
1714D4—1362no—
1715D4—1362no—
1716D4—1362no—
1717D4—1362no—
1718D4—1362no—
1719D4—1362no—
1720C2×C4—21no—
1721C2×C4—21no—
1722C2×C4—21no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—341no—
1754C2×C4—341no—
1755C2×C4—341no—
1756C2×C4—341no—
1757C2×C4—341no—
1758C2×C4—341no—
1759C2×C4—341no—
1760C2×C4—341no—
1761C2×C4—341no—
1762C2×C4—341no—
1763C2×C4—341no—
1764C2×C4—341no—
1765C2×C4—341no—
1766C2×C4—341no—
1767C2×C4—341no—
1768C2×C4—341no—
1769C2×C4—341no—
1770C2×C4—341no—
1771C2×C4—341no—
1772C2×C4—341no—
1773C2×C4—341no—
1774C2×C4—341no—
1775C2×C4—341no—
1776C2×C4—341no—
1777C2×C4—341no—
1778C2×C4—341no—
1779C2×C4—341no—
1780C2×C4—341no—
1781C2×C4—341no—
1782C2×C4—341no—
1783C2×C4—341no—
1784C2×C4—341no—
1785C2×C4—341no—
1786C2×C4—1362no—
1787C2×C4—1362no—
1788C2×C4—1362no—
1789C2×C4—1362no—
1790C2×C4—1362no—
1791C2×C4—1362no—
1792C22—22no—
1793C22—22no—
1794C22—22no—
1795C22—22no—
1796C22—22no—
1797C22—22no—
1798C22—22no—
1799C22—22no—
1800C22—22no—
1801C22—416no—
1802C22—41no—
1803C22—41no—
1804C22—41no—
1805C22—41no—
1806C22—41no—
1807C22—41no—
1808C22—41no—
1809C22—41no—
1810C22—41no—
1811C22—41no—
1812C22—41no—
1813C22—41no—
1814C22—41no—
1815C22—41no—
1816C22—41no—
1817C22—41no—
1818C22—41no—
1819C22—41no—
1820C22—41no—
1821C22—174no—
1822C22—342no—
1823C22—342no—
1824C22—342no—
1825C22—342no—
1826C22—342no—
1827C22—342no—
1828C22—342no—
1829C22—342no—
1830C22—342no—
1831C22—342no—
1832C22—342no—
1833C22—342no—
1834C22—342no—
1835C22—342no—
1836C22—342no—
1837C22—6816no—
1838C22—6816no—
1839C22—6816no—
1840C22—6816no—
1841C22—6816no—
1842C22—6816no—
1843C22—681no—
1844C22—681no—
1845C22—681no—
1846C22—681no—
1847C22—681no—
1848C22—681no—
1849C22—681no—
1850C22—681no—
1851C22—681no—
1852C22—681no—
1853C22—681no—
1854C22—681no—
1855C22—681no—
1856C22—681no—
1857C22—681no—
1858C22—681no—
1859C22—681no—
1860C22—681no—
1861C22—681no—
1862C22C2×#41×D1711yescharacteristic
1863C22H(5,𝔽2)×D1711yescharacteristic
1864C22H(5,𝔽2)×D1711yescharacteristic
1865C22H(5,𝔽2)×D1711yescharacteristic
1866C22H(5,𝔽2)×D1711yescharacteristic
1867C22C2×#1058769111yescharacteristic
1868C22C2×#1058769611yescharacteristic
1869C4—41no—
1870C4—41no—
1871C4—41no—
1872C4—41no—
1873C4—41no—
1874C4—41no—
1875C4—41no—
1876C4—41no—
1877C4—41no—
1878C4—41no—
1879C4—41no—
1880C4—681no—
1881C4—681no—
1882C4—681no—
1883C4—681no—
1884C4—681no—
1885C4—681no—
1886C4—681no—
1887C4—681no—
1888C4—681no—
1889C4—681no—
1890C4—681no—
1891C2—42no—
1892C2—42no—
1893C2—42no—
1894C2—81no—
1895C2—344no—
1896C2—682no—
1897C2—682no—
1898C2—682no—
1899C2—1361no—
1900C2D17×#53811yescharacteristic
1901C2#1454246611yescharacteristic
1902C2#1454246811yescharacteristic
1903C2#1454293311yescharacteristic
1904C2#1454293511yescharacteristic
1905C2#1454293711yescharacteristic
1906C2#1454293811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D17
commutator, socle, cosocleC23×C17C25
FittingC17×#2685C2
hypercenter#2685D17
hypocenterC17#36725
LCSG ▷ C23×C17 ▷ C17
UCSC1 ◁ C23 ◁ #2685

Complements

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

NH ≅ G/Ntype
1. #14537062C2semidirect
2. #14537060C2semidirect
3. #14535829C2semidirect
4. #14535823C2semidirect
5. #14535823C2semidirect
6. #14535821C2semidirect
7. #14535346C2semidirect
8. #14535342C2semidirect
9. #14535180C2semidirect
10. #14535169C2semidirect
11. #14535168C2semidirect
12. #14535164C2semidirect
13. #14535159C2semidirect
14. #14535109C2semidirect
15. #14535106C2semidirect
16. #14535012C2semidirect
17. #14534991C2semidirect
18. #14534590C2semidirect
19. #14534523C2semidirect
20. #14533033C2semidirect
21. #14533026C2semidirect
22. #14532911C2semidirect
23. #14532908C2semidirect
24. #14532327C2semidirect
25. #14532321C2semidirect
26. #14532253C2semidirect
27. #14532239C2semidirect
28. #14531446C2semidirect
29. #14531443C2semidirect
30. D17×#379C2semidirect
31. C17×#2685C2semidirect
33. C2×#10587584C22semidirect
34. C2×#10587571C22semidirect
35. C2×#10587571C22semidirect
36. C2×#10587580C22semidirect
37. C2×#10587621C22semidirect
38. C2×#10587583C22semidirect
39. C2×#10587570C22semidirect
40. C2×#10587570C22semidirect
41. C2×#10587625C22semidirect
55. C2×C4×D68C22semidirect
56. C2×#10587567C22semidirect
63. #11762745C22semidirect
64. #11762744C22semidirect
65. #11762744C22semidirect
66. #11762738C22semidirect
67. #11762738C22semidirect
68. #11762737C22semidirect
69. #11762737C22semidirect
70. #11762737C22semidirect
71. #11762737C22semidirect
72. #11762736C22semidirect
73. #11762736C22semidirect
74. #11762735C22semidirect
75. #11762735C22semidirect
76. #11762734C22semidirect
77. #11762734C22semidirect
78. #11762733C22semidirect
79. #11762732C22semidirect
80. #11762732C22semidirect
81. #11762732C22semidirect
82. #11762731C22semidirect
83. #11762731C22semidirect
84. #11762731C22semidirect
85. #11762727C22semidirect
86. #11762726C22semidirect
87. #11762726C22semidirect
88. #11762726C22semidirect
89. #11762725C22semidirect
90. #11762725C22semidirect
91. #11762725C22semidirect
92. #11762725C22semidirect
93. #11762725C22semidirect
94. #11762724C22semidirect
95. #11762724C22semidirect
96. #11762724C22semidirect
97. #11762722C22semidirect
98. #11762722C22semidirect
99. #11762721C22semidirect
100. #11762721C22semidirect
101. #11762718C22semidirect
102. #11762718C22semidirect
103. #11762717C22semidirect
104. #11762717C22semidirect
105. #11762712C22semidirect
106. #11762711C22semidirect
107. #11762710C22semidirect
108. #11762710C22semidirect
109. #11762709C22semidirect
110. #11762709C22semidirect
111. #11762703C22semidirect
112. #11762703C22semidirect
113. #11762703C22semidirect
114. #11762703C22semidirect
115. #11762702C22semidirect
116. #11762702C22semidirect
117. #11762702C22semidirect
118. #11762701C22semidirect
119. #11762701C22semidirect
120. #11762700C22semidirect
121. #11762700C22semidirect
122. #11762700C22semidirect
123. #11762700C22semidirect
124. #11762700C22semidirect
125. #11762699C22semidirect
126. #11762699C22semidirect
127. #11762699C22semidirect
128. #11762699C22semidirect
129. #11762698C22semidirect
130. #11762697C22semidirect
131. #11762697C22semidirect
132. #11762689C22semidirect
133. #11762687C22semidirect
134. #11762687C22semidirect
135. #11762687C22semidirect
136. #11762686C22semidirect
137. #11762686C22semidirect
138. #11762686C22semidirect
139. #11762685C22semidirect
140. #11762685C22semidirect
141. #11762685C22semidirect
142. #11762685C22semidirect
143. #11762685C22semidirect
144. #11762680C22semidirect
145. #11762680C22semidirect
146. #11762680C22semidirect
147. #11762680C22semidirect
148. #11762668C22semidirect
149. #11762666C22semidirect
170. C4×#63227C22semidirect
171. #11762656C22semidirect
172. C2×C17×#126C22semidirect
174. C17×#399C22semidirect
175. C17×#396C22semidirect
176. C17×#394C22semidirect
177. C17×#394C22semidirect
178. C17×#394C22semidirect
179. C17×#394C22semidirect
180. C17×#390C22semidirect
181. C17×#390C22semidirect
182. C17×#388C22semidirect
183. C17×#388C22semidirect
184. C17×#388C22semidirect
211. C22×C22⋊D17C23semidirect
212. C23×Dic17C23semidirect
221. C22×C4×D17C23semidirect
222. C22×Dic34C23semidirect
225. C2×C4⋊C4×C17C23semidirect
226. C2×C4⋊C4×C17C23semidirect
227. C2×C4⋊C4×C17C23semidirect
228. C2×C4⋊C4×C17C23semidirect
229. C2×C4⋊C4×C17C23semidirect
230. C2×C4⋊C4×C17C23semidirect
246. C2×C22⋊C4×C17C23semidirect
247. C2×C22⋊C4×C17C23semidirect
248. C2×C22⋊C4×C17C23semidirect
249. C2×C22⋊C4×C17C23semidirect
250. C2×C42×C17C23semidirect
251. C2×C42×C17C23semidirect
268. C2×C22⋊Dic17C23semidirect
269. C2×C22⋊Dic17C23semidirect
314. C2×#63227C23semidirect
315. C2×#63227C23semidirect
316. C2×#63227C23semidirect
317. C2×#63227C23semidirect
318. C2×#63227C23semidirect
319. C2×#63227C23semidirect
320. C2×C4⋊Dic17C23semidirect
321. C2×C4⋊Dic17C23semidirect
322. C2×C4⋊Dic17C23semidirect
323. C2×C4⋊Dic17C23semidirect
324. C2×#63225C23semidirect
325. C2×#63225C23semidirect
326. C2×#63225C23semidirect
327. C2×#63225C23semidirect
328. C2×#63225C23semidirect
329. C2×#63225C23semidirect
330. C2×#63225C23semidirect
331. C2×#63225C23semidirect
332. C2×C4×Dic17C23semidirect
333. C2×C4×Dic17C23semidirect
334. C2×C4×Dic17C23semidirect
335. C2×C4×Dic17C23semidirect
357. C17×#95C23semidirect
358. C17×#95C23semidirect
359. C17×#95C23semidirect
360. C17×#95C23semidirect
361. #10587502C23semidirect
362. #10587502C23semidirect
363. #10587502C23semidirect
364. #10587502C23semidirect
365. #10587502C23semidirect
366. #10587502C23semidirect
367. #10587502C23semidirect
368. #10587502C23semidirect
369. #10587502C23semidirect
370. #10587502C23semidirect
371. #10587502C23semidirect
372. #10587502C23semidirect
373. #10587502C23semidirect
374. #10587502C23semidirect
375. #10587502C23semidirect
376. #10587502C23semidirect
377. #10587502C23semidirect
378. #10587502C23semidirect
379. #10587502C23semidirect
380. #10587502C23semidirect
850. #2685D17semidirect
971. C2×#126C2×D17semidirect
1005. #399C2×D17semidirect
1025. #396C2×D17semidirect
1038. #394C2×D17semidirect
1039. #394C2×D17semidirect
1040. #394C2×D17semidirect
1041. #394C2×D17semidirect
1056. #390C2×D17semidirect
1057. #390C2×D17semidirect
1079. #388C2×D17semidirect
1080. #388C2×D17semidirect
1081. #388C2×D17semidirect
1214. C2×C4⋊C4C22×D17semidirect
1215. C2×C4⋊C4C22×D17semidirect
1216. C2×C4⋊C4C22×D17semidirect
1217. C2×C4⋊C4C22×D17semidirect
1218. C2×C4⋊C4C22×D17semidirect
1219. C2×C4⋊C4C22×D17semidirect
1300. C2×C22⋊C4C22×D17semidirect
1301. C2×C22⋊C4C22×D17semidirect
1302. C2×C22⋊C4C22×D17semidirect
1303. C2×C22⋊C4C22×D17semidirect
1308. C2×C42C22×D17semidirect
1309. C2×C42C22×D17semidirect
1330. #95C22×D17semidirect
1331. #95C22×D17semidirect
1332. #95C22×D17semidirect
1333. #95C22×D17semidirect
1334. C17#36725semidirect

Maximal subgroups

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

subgroupindex
#145370622
#145370602
#145358292
#145358232
#145358212
#145353462
#145353422
#145351802
#145351692
#145351682
#145351642
#145351592
#145351092
#145351062
#145350122
#145349912
#145345902
#145345232
#145330332
#145330262
#145329112
#145329082
#145323272
#145323212
#145322532
#145322392
#145314462
#145314432
D17×#3792
C17×#26852
#3672517