Finite Group Databasebeta

← #17242197

Subgroups — #17242197

Order 4352.

2210 conjugacy classes of subgroups.

The subgroup lattice has 1686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#14537071C211yesmaximal, characteristic, complemented
2#14537066C211yesmaximal, characteristic, complemented
3#14536637C211yesmaximal, characteristic, complemented
4#14536450C211yesmaximal, characteristic, complemented
5#14536421C211yesmaximal, characteristic, complemented
6#14536406C211yesmaximal, characteristic, complemented
7#14536405C211yesmaximal, characteristic, complemented
8#14536109C211yesmaximal, characteristic, complemented
9#14536064C211yesmaximal, characteristic, complemented
10#14536010C211yesmaximal, characteristic, complemented
11#14535903C211yesmaximal, characteristic, complemented
12#14535784C211yesmaximal, characteristic, complemented
13#14535583C211yesmaximal, characteristic, complemented
14#14535431C211yesmaximal, characteristic, complemented
15#14535416C211yesmaximal, characteristic, complemented
16#14535335C211yesmaximal, characteristic, complemented
17#14535221C211yesmaximal, characteristic, complemented
18#14535089C211yesmaximal, characteristic, complemented
19#14534496C211yesmaximal, characteristic, complemented
20#14534496C211yesmaximal, characteristic, complemented
21#14533169C211yesmaximal, characteristic, complemented
22#14533110C211yesmaximal, characteristic, complemented
23#14533024C211yesmaximal, characteristic, complemented
24#14532904C211yesmaximal, characteristic, complemented
25#14532335C211yesmaximal, characteristic, complemented
26#14532320C211yesmaximal, characteristic, complemented
27#14532261C211yesmaximal, characteristic, complemented
28#14532246C211yesmaximal, characteristic, complemented
29#14531442C211yesmaximal, characteristic, complemented
30#14531442C211yesmaximal, characteristic, complemented
31C2×C17×#386C211yesmaximal, characteristic, complemented
32C2×#10587565C2211yescharacteristic, complemented
33C2×#10587571C2211yescharacteristic, complemented
34C2×#10587615C2211yescharacteristic
35C2×#10587615C2211yescharacteristic
36C2×#10587569C2211yescharacteristic, complemented
37C2×#10587610C2211yescharacteristic
38C2×#10587610C2211yescharacteristic, complemented
39C2×#10587610C2211yescharacteristic, complemented
40C2×#10587616C2211yescharacteristic
41C2×#10587616C2211yescharacteristic, complemented
42C2×#10587616C2211yescharacteristic, complemented
43C2×#10587570C2211yescharacteristic, complemented
44C2×#10587639C2211yescharacteristic
45C2×#10587639C2211yescharacteristic
46C2×#10587639C2211yescharacteristic
47C2×#10587639C2211yescharacteristic
48C2×C4×C22⋊D17C2211yescharacteristic
49C2×C4×C22⋊D17C2211yescharacteristic
50C17⋊#401C2211yescharacteristic, complemented
51#11762751C2211yescharacteristic, complemented
52#11762751C2211yescharacteristic, complemented
53#11762750C2211yescharacteristic, complemented
54#11762750C2211yescharacteristic, complemented
55#11762750C2211yescharacteristic, complemented
56#11762749C2211yescharacteristic, complemented
57#11762745C2211yescharacteristic, complemented
58#11762743C2211yescharacteristic, complemented
59#11762743C2211yescharacteristic, complemented
60#11762738C2211yescharacteristic, complemented
61#11762738C2211yescharacteristic, complemented
62#11762738C2211yescharacteristic, complemented
63#11762737C2211yescharacteristic, complemented
64#11762737C2211yescharacteristic, complemented
65#11762737C2211yescharacteristic, complemented
66#11762737C2211yescharacteristic, complemented
67#11762736C2211yescharacteristic, complemented
68#11762734C2211yescharacteristic, complemented
69#11762733C2211yescharacteristic, complemented
70#11762732C2211yescharacteristic, complemented
71#11762732C2211yescharacteristic, complemented
72#11762727C2211yescharacteristic, complemented
73#11762725C2211yescharacteristic, complemented
74#11762725C2211yescharacteristic, complemented
75#11762724C2211yescharacteristic, complemented
76#11762724C2211yescharacteristic, complemented
77#11762724C2211yescharacteristic, complemented
78#11762724C2211yescharacteristic, complemented
79#11762723C2211yescharacteristic
80#11762723C2211yescharacteristic
81#11762723C2211yescharacteristic
82#11762723C2211yescharacteristic
83#11762723C2211yescharacteristic
84#11762723C2211yescharacteristic
85#11762723C2211yescharacteristic
86#11762723C2211yescharacteristic
87#11762722C2211yescharacteristic, complemented
88#11762721C2211yescharacteristic, complemented
89#11762718C2211yescharacteristic, complemented
90#11762717C2211yescharacteristic
91#11762717C2211yescharacteristic
92#11762717C2211yescharacteristic
93#11762717C2211yescharacteristic
94#11762717C2211yescharacteristic
95#11762717C2211yescharacteristic
96#11762717C2211yescharacteristic
97#11762717C2211yescharacteristic
98#11762713C2211yescharacteristic, complemented
99#11762709C2211yescharacteristic, complemented
100#11762709C2211yescharacteristic, complemented
101#11762709C2211yescharacteristic, complemented
102#11762709C2211yescharacteristic, complemented
103#11762709C2211yescharacteristic, complemented
104#11762709C2211yescharacteristic, complemented
105#11762706C2211yescharacteristic, complemented
106#11762703C2211yescharacteristic, complemented
107#11762703C2211yescharacteristic, complemented
108#11762703C2211yescharacteristic, complemented
109#11762703C2211yescharacteristic, complemented
110#11762703C2211yescharacteristic, complemented
111#11762703C2211yescharacteristic, complemented
112#11762702C2211yescharacteristic, complemented
113#11762702C2211yescharacteristic, complemented
114#11762702C2211yescharacteristic, complemented
115#11762702C2211yescharacteristic, complemented
116#11762701C2211yescharacteristic, complemented
117#11762698C2211yescharacteristic, complemented
118#11762698C2211yescharacteristic, complemented
119#11762697C2211yescharacteristic, complemented
120#11762697C2211yescharacteristic, complemented
121#11762697C2211yescharacteristic, complemented
122#11762697C2211yescharacteristic, complemented
123#11762697C2211yescharacteristic, complemented
124#11762697C2211yescharacteristic, complemented
125#11762696C2211yescharacteristic, complemented
126#11762694C2211yescharacteristic, complemented
127#11762692C2211yescharacteristic, complemented
128#11762691C2211yescharacteristic, complemented
129#11762691C2211yescharacteristic, complemented
130#11762688C2211yescharacteristic
131#11762688C2211yescharacteristic
132#11762688C2211yescharacteristic
133#11762688C2211yescharacteristic
134#11762688C2211yescharacteristic, complemented
135#11762688C2211yescharacteristic, complemented
136#11762688C2211yescharacteristic, complemented
137#11762688C2211yescharacteristic, complemented
138#11762687C2211yescharacteristic, complemented
139#11762685C2211yescharacteristic, complemented
140#11762685C2211yescharacteristic, complemented
141#11762685C2211yescharacteristic, complemented
142#11762685C2211yescharacteristic, complemented
143#11762685C2211yescharacteristic, complemented
144#11762685C2211yescharacteristic, complemented
145#11762683C2211yescharacteristic, complemented
146#11762682C2211yescharacteristic
147#11762682C2211yescharacteristic
148#11762682C2211yescharacteristic
149#11762682C2211yescharacteristic
150#11762682C2211yescharacteristic, complemented
151#11762682C2211yescharacteristic, complemented
152#11762682C2211yescharacteristic, complemented
153#11762682C2211yescharacteristic, complemented
154#11762676C2211yescharacteristic, complemented
155#11762673C2211yescharacteristic, complemented
156#11762672C2211yescharacteristic
157#11762672C2211yescharacteristic
158#11762671C2211yescharacteristic, complemented
159#11762669C2211yescharacteristic
160#11762669C2211yescharacteristic
161#11762669C2211yescharacteristic, complemented
162#11762669C2211yescharacteristic, complemented
163#11762669C2211yescharacteristic, complemented
164#11762669C2211yescharacteristic, complemented
165#11762668C2211yescharacteristic, complemented
166#11762665C2211yescharacteristic
167#11762665C2211yescharacteristic
168#11762665C2211yescharacteristic
169#11762665C2211yescharacteristic
170C4×C22⋊Dic17C2211yescharacteristic
171C4×C22⋊Dic17C2211yescharacteristic
172C23×D4×C17C2211yescharacteristic
173C24×C4×C17C2211yescharacteristic
174C22×C22⋊C4×C17C2211yescharacteristic
175C22×C22⋊C4×C17C2211yescharacteristic
176C22×C22⋊C4×C17C2211yescharacteristic
177C17×#386C2211yescharacteristic
178C17×#386C2211yescharacteristic
179C17×#386C2211yescharacteristic
180C17×#386C2211yescharacteristic
181C17×#386C2211yescharacteristic
182C17×#386C2211yescharacteristic
183C17×#386C2211yescharacteristic
184C17×#386C2211yescharacteristic
185C2×C17×#95C2211yescharacteristic
186C2×C17×#95C2211yescharacteristic
187C25×C17C2311yescharacteristic
188C25×C17C2311yescharacteristic
189C22×D4×C17—24no—
190C22×D4×C17—42no—
191C22×D4×C17—42no—
192C22×D4×C17C2311yescharacteristic
193C22×D4×C17C2311yescharacteristic
194C22×D4×C17C2311yescharacteristic
195C22×D4×C17C2311yescharacteristic
196C23×C4×C17—42no—
197C23×C4×C17—42no—
198C23×C4×C17—42no—
199C23×C4×C17C2311yescharacteristic
200C23×C4×C17C2311yescharacteristic
201C23×C4×C17C2311yescharacteristic
202C23×C4×C17C2311yescharacteristic
203C23×C4×C17C2311yescharacteristic
204C23×C4×C17C2311yescharacteristic
205C23×C4×C17C2311yescharacteristic
206C23×C4×C17C2311yescharacteristic
207C23×C4×C17C2311yescharacteristic
208C22×C22⋊D17C2311yescharacteristic
209C22×C22⋊D17C2311yescharacteristic
210C22×C22⋊D17C2311yescharacteristic
211C22×C22⋊D17C2311yescharacteristic
212C22×C22⋊D17C2311yescharacteristic
213C22×C22⋊D17C2311yescharacteristic
214C22×C22⋊D17C2311yescharacteristic
215C22×C22⋊D17C2311yescharacteristic
216C22×C22⋊D17C2311yescharacteristic
217C22×C22⋊D17C2311yescharacteristic
218C22×D68C2311yescharacteristic
219C22×C4×D17C2311yescharacteristic
220C22×C4×D17C2311yescharacteristic
221C22×Dic34C2311yescharacteristic
222C2×C22⋊C4×C17—42no—
223C2×C22⋊C4×C17—42no—
224C2×C22⋊C4×C17—42no—
225C2×C22⋊C4×C17C2311yescharacteristic
226C2×C22⋊C4×C17C2311yescharacteristic
227C2×C22⋊C4×C17C2311yescharacteristic
228C2×C22⋊C4×C17C2311yescharacteristic
229C2×C22⋊C4×C17C2311yescharacteristic
230C2×C22⋊C4×C17C2311yescharacteristic
231C2×C22⋊C4×C17C2311yescharacteristic
232C2×C22⋊C4×C17C2311yescharacteristic
233C2×C22⋊C4×C17C2311yescharacteristic
234C2×C22⋊C4×C17C2311yescharacteristic
235C2×C22⋊C4×C17C2311yescharacteristic
236C2×C22⋊C4×C17C2311yescharacteristic
237#10587639—24no—
238#10587639—24no—
239#10587639—42no—
240#10587639—42no—
241C2×C22⋊Dic17C2311yescharacteristic
242C2×C22⋊Dic17C2311yescharacteristic
243C2×C22⋊Dic17C2311yescharacteristic
244C2×C22⋊Dic17C2311yescharacteristic
245C2×C22⋊Dic17C2311yescharacteristic
246C2×C22⋊Dic17C2311yescharacteristic
247C2×C22⋊Dic17C2311yescharacteristic
248C2×C22⋊Dic17C2311yescharacteristic
249C2×C22⋊Dic17C2311yescharacteristic
250C2×C22⋊Dic17C2311yescharacteristic
251C2×C22⋊Dic17C2311yescharacteristic
252C2×C22⋊Dic17C2311yescharacteristic
253C2×C22⋊Dic17C2311yescharacteristic
254C2×C22⋊Dic17C2311yescharacteristic
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
269C2×C22⋊Dic17C2311yescharacteristic
270C2×C22⋊Dic17C2311yescharacteristic
271#10587616—42no—
272#10587616—42no—
273#10587616—42no—
274#10587615—42no—
275#10587615—42no—
276C4×C22⋊D17—42no—
277C4×C22⋊D17—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×C4⋊Dic17C2311yescharacteristic
295C2×C4⋊Dic17C2311yescharacteristic
296C2×C4⋊Dic17C2311yescharacteristic
297C2×C4⋊Dic17C2311yescharacteristic
298C2×C4⋊Dic17C2311yescharacteristic
299C2×C4⋊Dic17C2311yescharacteristic
300#10587610—42no—
301#10587610—42no—
302#10587610—42no—
303C2×#63225C2311yescharacteristic
304C2×#63225C2311yescharacteristic
305C2×#63225C2311yescharacteristic
306C2×#63225C2311yescharacteristic
307C2×#63225C2311yescharacteristic
308C2×#63225C2311yescharacteristic
309C2×#63225C2311yescharacteristic
310C2×#63225C2311yescharacteristic
311C2×#63225C2311yescharacteristic
312C2×#63225C2311yescharacteristic
313C2×#63225C2311yescharacteristic
314C2×#63225C2311yescharacteristic
315C2×#63225C2311yescharacteristic
316C2×#63225C2311yescharacteristic
317C2×#63225C2311yescharacteristic
318C2×#63225C2311yescharacteristic
319C2×C4×Dic17C2311yescharacteristic
320C2×C4×Dic17C2311yescharacteristic
321C2×C4×Dic17C2311yescharacteristic
322C2×C4×Dic17C2311yescharacteristic
323C2×C4×Dic17C2311yescharacteristic
324C2×C4×Dic17C2311yescharacteristic
325#10587571—42no—
326#10587570—42no—
327#10587569—42no—
328#10587565—42no—
329C17×#95C2311yescharacteristic
330C17×#95C2311yescharacteristic
331C17×#95C2311yescharacteristic
332C17×#95C2311yescharacteristic
333C17×#95C2311yescharacteristic
334C17×#95C2311yescharacteristic
335C17×#95C2311yescharacteristic
336C17×#95C2311yescharacteristic
337#10587502C2311yescharacteristic
338#10587502C2311yescharacteristic
339#10587502C2311yescharacteristic
340#10587502C2311yescharacteristic
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
369C24×C17—22no—
370C24×C17—22no—
371C24×C17—22no—
372C24×C17—22no—
373C24×C17—22no—
374C24×C17—41no—
375C24×C17—41no—
376C24×C17—41no—
377C24×C17—41no—
378C24×C17—41no—
379C24×C17—41no—
380C24×C17—41no—
381C24×C17—41no—
382C24×C17#4114yes—
383C24×C17C2411yescharacteristic
384C24×C17C2411yescharacteristic
385C24×C17C2411yescharacteristic
386C24×C17C2411yescharacteristic
387C24×C17C2411yescharacteristic
388C23×D17C2411yescharacteristic
389C23×D17C2411yescharacteristic
390C2×D4×C17—22no—
391C2×D4×C17—22no—
392C2×D4×C17—22no—
393C2×D4×C17—22no—
394C2×D4×C17—41no—
395C2×D4×C17—41no—
396C2×D4×C17—41no—
397C2×D4×C17—41no—
398C2×D4×C17—41no—
399C2×D4×C17—41no—
400C2×D4×C17—41no—
401C2×D4×C17—41no—
402C2×D4×C17—416no—
403C22×C4×C17—22no—
404C22×C4×C17—22no—
405C22×C4×C17—22no—
406C22×C4×C17—22no—
407C22×C4×C17—22no—
408C22×C4×C17—22no—
409C22×C4×C17—22no—
410C22×C4×C17—22no—
411C22×C4×C17—22no—
412C22×C4×C17—22no—
413C22×C4×C17—22no—
414C22×C4×C17—22no—
415C22×C4×C17—22no—
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×C17—41no—
423C22×C4×C17—41no—
424C22×C4×C17—41no—
425C22×C4×C17—41no—
426C22×C4×C17—41no—
427C22×C4×C17—41no—
428C22×C4×C17—41no—
429C22×C4×C17—41no—
430C22×C4×C17—416no—
431C22×C4×C17C2411yescharacteristic
432C22×C4×C17C2411yescharacteristic
433C22×C4×C17C2411yescharacteristic
434C22×C4×C17C2411yescharacteristic
435C22×C4×C17C2411yescharacteristic
436C22×C4×C17C2411yescharacteristic
437C22×C4×C17C2411yescharacteristic
438C22×C4×C17C2411yescharacteristic
439C22×C4×C17C2411yescharacteristic
440C22×C4×C17C2411yescharacteristic
441C2×C22⋊D17—22no—
442C2×C22⋊D17—22no—
443C2×C22⋊D17—22no—
444C2×C22⋊D17—22no—
445C2×C22⋊D17—22no—
446C2×C22⋊D17—22no—
447C2×C22⋊D17—22no—
448C2×C22⋊D17—22no—
449C2×C22⋊D17—22no—
450C2×C22⋊D17—22no—
451C2×C22⋊D17—41no—
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—41no—
470C2×C22⋊D17—41no—
471C22×Dic17C2411yescharacteristic
472C22×Dic17C2411yescharacteristic
473C22×Dic17C2411yescharacteristic
474C22×Dic17C2411yescharacteristic
475C22×Dic17C2411yescharacteristic
476C22×Dic17C2411yescharacteristic
477C22×Dic17C2411yescharacteristic
478C22×Dic17C2411yescharacteristic
479C22×Dic17C2411yescharacteristic
480C22×Dic17C2411yescharacteristic
481C22×Dic17C2411yescharacteristic
482C22×Dic17C2411yescharacteristic
483C22×Dic17C2411yescharacteristic
484C22×Dic17C2411yescharacteristic
485C2×D68—22no—
486C2×D68—41no—
487C2×D68—41no—
488C2×C4×D17—41no—
489C2×C4×D17—41no—
490C2×C4×D17—41no—
491C2×C4×D17—41no—
492C2×C4×D17—41no—
493C2×C4×D17—41no—
494C2×Dic34—22no—
495C2×Dic34—41no—
496C2×Dic34—41no—
497C22⋊C4×C17—22no—
498C22⋊C4×C17—22no—
499C22⋊C4×C17—22no—
500C22⋊C4×C17—22no—
501C22⋊C4×C17—41no—
502C22⋊C4×C17—41no—
503C22⋊C4×C17—41no—
504C22⋊C4×C17—41no—
505C22⋊C4×C17—41no—
506C22⋊C4×C17—41no—
507C22⋊C4×C17—41no—
508C22⋊C4×C17—41no—
509C22⋊Dic17—22no—
510C22⋊Dic17—22no—
511C22⋊Dic17—22no—
512C22⋊Dic17—22no—
513C22⋊Dic17—22no—
514C22⋊Dic17—22no—
515C22⋊Dic17—22no—
516C22⋊Dic17—22no—
517C22⋊Dic17—22no—
518C22⋊Dic17—22no—
519C22⋊Dic17—41no—
520C22⋊Dic17—41no—
521C22⋊Dic17—41no—
522C22⋊Dic17—41no—
523C22⋊Dic17—41no—
524C22⋊Dic17—41no—
525C22⋊Dic17—41no—
526C22⋊Dic17—41no—
527C22⋊Dic17—41no—
528C22⋊Dic17—41no—
529C22⋊Dic17—41no—
530C22⋊Dic17—41no—
531C22⋊Dic17—41no—
532C22⋊Dic17—41no—
533C22⋊Dic17—41no—
534C22⋊Dic17—41no—
535C22⋊Dic17—41no—
536C22⋊Dic17—41no—
537C22⋊Dic17—41no—
538C22⋊Dic17—41no—
539#63227—22no—
540#63227—22no—
541#63227—41no—
542#63227—41no—
543#63227—41no—
544#63227—41no—
545#63227—41no—
546#63227—41no—
547#63227—41no—
548#63227—41no—
549#63227—41no—
550#63227—41no—
551#63227—41no—
552#63227—41no—
553#63227—41no—
554#63227—41no—
555C4⋊Dic17—22no—
556C4⋊Dic17—22no—
557C4⋊Dic17—41no—
558C4⋊Dic17—41no—
559C4⋊Dic17—41no—
560C4⋊Dic17—41no—
561#63225—22no—
562#63225—22no—
563#63225—41no—
564#63225—41no—
565#63225—41no—
566#63225—41no—
567#63225—41no—
568#63225—41no—
569#63225—41no—
570#63225—41no—
571#63225—41no—
572#63225—41no—
573#63225—41no—
574#63225—41no—
575#63225—41no—
576#63225—41no—
577C4×Dic17—41no—
578C4×Dic17—41no—
579C4×Dic17—41no—
580C4×Dic17—41no—
581C4×Dic17—41no—
582C4×Dic17—41no—
583#36758—171nomaximal, Sylow
584C23×C17—21no—
585C23×C17—21no—
586C23×C17—21no—
587C23×C17—21no—
588C23×C17—28no—
589C23×C17—21no—
590C23×C17—21no—
591C23×C17—21no—
592C23×C17—21no—
593C23×C17—21no—
594C23×C17—21no—
595C23×C17—21no—
596C23×C17—21no—
597C23×C17—21no—
598C23×C17—21no—
599C23×C17—21no—
600C23×C17—21no—
601C23×C17—21no—
602C23×C17—21no—
603C23×C17—21no—
604C23×C17—21no—
605C23×C17—21no—
606C23×C17—21no—
607C23×C17—21no—
608C23×C17—21no—
609C23×C17—21no—
610C23×C17—21no—
611C23×C17—21no—
612C23×C17—21no—
613C23×C17—21no—
614C23×C17—21no—
615C23×C17—44no—
616C23×C17—44no—
617C23×C17—44no—
618C23×C17—44no—
619C23×C17—44no—
620C23×C17—44no—
621C23×C17—44no—
622C23×C17—44no—
623C23×C17—44no—
624C23×C17—82no—
625C23×C17—82no—
626C23×C17—82no—
627C23×C17—82no—
628C23×C17C2×#4112yes—
629C23×C17C2×#4112yes—
630C23×C17C2×#4112yes—
631C23×C17H(5,𝔽2)12yes—
632C23×C17H(5,𝔽2)12yes—
633C23×C17C2511yescharacteristic
634C22×D17—21no—
635C22×D17—21no—
636C22×D17—21no—
637C22×D17—21no—
638C22×D17—21no—
639C22×D17—21no—
640C22×D17—21no—
641C22×D17—21no—
642C22×D17—21no—
643C22×D17—21no—
644C22×D17—21no—
645C22×D17—21no—
646C22×D17—21no—
647C22×D17—21no—
648D4×C17—44no—
649D4×C17—44no—
650D4×C17—44no—
651D4×C17—44no—
652C2×C4×C17—21no—
653C2×C4×C17—21no—
654C2×C4×C17—21no—
655C2×C4×C17—21no—
656C2×C4×C17—21no—
657C2×C4×C17—21no—
658C2×C4×C17—21no—
659C2×C4×C17—21no—
660C2×C4×C17—21no—
661C2×C4×C17—21no—
662C2×C4×C17—21no—
663C2×C4×C17—21no—
664C2×C4×C17—21no—
665C2×C4×C17—21no—
666C2×C4×C17—21no—
667C2×C4×C17—21no—
668C2×C4×C17—21no—
669C2×C4×C17—21no—
670C2×C4×C17—21no—
671C2×C4×C17—21no—
672C2×C4×C17—21no—
673C2×C4×C17—21no—
674C2×C4×C17—21no—
675C2×C4×C17—21no—
676C2×C4×C17—21no—
677C2×C4×C17—21no—
678C2×C4×C17—21no—
679C2×C4×C17—21no—
680C2×C4×C17—44no—
681C2×C4×C17—44no—
682C2×C4×C17—44no—
683C2×C4×C17—44no—
684C2×C4×C17—44no—
685C2×C4×C17—44no—
686C2×C4×C17—44no—
687C2×C4×C17—82no—
688C2×C4×C17—82no—
689C2×C4×C17H(5,𝔽2)12yes—
690C2×C4×C17H(5,𝔽2)12yes—
691C22⋊D17—44no—
692C22⋊D17—44no—
693C22⋊D17—82no—
694C22⋊D17—82no—
695C22⋊D17—82no—
696C22⋊D17—82no—
697C22⋊D17—82no—
698C22⋊D17—82no—
699C22⋊D17—82no—
700C22⋊D17—82no—
701C2×Dic17—21no—
702C2×Dic17—21no—
703C2×Dic17—21no—
704C2×Dic17—21no—
705C2×Dic17—21no—
706C2×Dic17—21no—
707C2×Dic17—21no—
708C2×Dic17—21no—
709C2×Dic17—21no—
710C2×Dic17—21no—
711C2×Dic17—21no—
712C2×Dic17—21no—
713C2×Dic17—21no—
714C2×Dic17—21no—
715C2×Dic17—21no—
716C2×Dic17—21no—
717C2×Dic17—21no—
718C2×Dic17—21no—
719C2×Dic17—21no—
720C2×Dic17—21no—
721C2×Dic17—21no—
722C2×Dic17—21no—
723C2×Dic17—21no—
724C2×Dic17—21no—
725C2×Dic17—21no—
726C2×Dic17—21no—
727C2×Dic17—21no—
728C2×Dic17—21no—
729C2×Dic17—21no—
730C2×Dic17—21no—
731C2×Dic17—21no—
732C2×Dic17—21no—
733C2×Dic17—21no—
734C2×Dic17—21no—
735C2×Dic17—21no—
736C2×Dic17—21no—
737C2×Dic17—21no—
738C2×Dic17—21no—
739C2×Dic17—21no—
740C2×Dic17—21no—
741C2×Dic17—21no—
742C2×Dic17—21no—
743D68—82no—
744C4×D17—82no—
745C4×D17—82no—
746Dic34—82no—
747#2848—171no—
748#2847—171no—
749#2797—171no—
750#2781—171no—
751#2779—171no—
752#2778—171no—
753#2778—171no—
754#2756—171no—
755#2753—171no—
756#2749—171no—
757#2741—171no—
758#2730—171no—
759#2714—171no—
760#2703—171no—
761#2702—171no—
762#2696—171no—
763#2688—171no—
764#2676—171no—
765#2613—171no—
766#2613—171no—
767#2493—171no—
768#2488—171no—
769#2480—171no—
770#2472—171no—
771#2425—171no—
772#2424—171no—
773#2419—171no—
774#2418—171no—
775#2321—171no—
776#2321—171no—
777C2×#386D1711yescharacteristic, complemented
778C22×C17—22no—
779C22×C17—22no—
780C22×C17—22no—
781C22×C17—22no—
782C22×C17—22no—
783C22×C17—22no—
784C22×C17—22no—
785C22×C17—22no—
786C22×C17—22no—
787C22×C17—22no—
788C22×C17—22no—
789C22×C17—22no—
790C22×C17—416no—
791C22×C17—41no—
792C22×C17—41no—
793C22×C17—41no—
794C22×C17—41no—
795C22×C17—41no—
796C22×C17—41no—
797C22×C17—41no—
798C22×C17—41no—
799C22×C17—41no—
800C22×C17—41no—
801C22×C17—41no—
802C22×C17—41no—
803C22×C17—41no—
804C22×C17—41no—
805C22×C17—41no—
806C22×C17—41no—
807C22×C17—41no—
808C22×C17—41no—
809C22×C17—41no—
810C22×C17—41no—
811C22×C17—41no—
812C22×C17—41no—
813C22×C17—88no—
814C22×C17#53814yes—
815C22×C17C22×#4111yescharacteristic
816C22×C17C2×H(5,𝔽2)11yescharacteristic
817C22×C17C2×H(5,𝔽2)11yescharacteristic
818C22×C17C2×H(5,𝔽2)11yescharacteristic
819C22×C17C2×H(5,𝔽2)11yescharacteristic
820C22×C17#58511yescharacteristic
821C22×C17#58511yescharacteristic
822C2×D17—41no—
823C2×D17—41no—
824C2×D17—41no—
825C2×D17—41no—
826C2×D17—41no—
827C2×D17—41no—
828C2×D17—41no—
829C2×D17—41no—
830C2×D17—41no—
831C2×D17—41no—
832C2×D17—41no—
833C2×D17—41no—
834C2×D17—41no—
835C2×D17—41no—
836C4×C17—22no—
837C4×C17—22no—
838C4×C17—41no—
839C4×C17—41no—
840C4×C17—41no—
841C4×C17—41no—
842C4×C17—41no—
843C4×C17—41no—
844C4×C17—41no—
845C4×C17—41no—
846Dic17—41no—
847Dic17—41no—
848Dic17—41no—
849Dic17—41no—
850Dic17—41no—
851Dic17—41no—
852Dic17—41no—
853Dic17—41no—
854Dic17—41no—
855Dic17—41no—
856Dic17—41no—
857Dic17—41no—
858Dic17—41no—
859Dic17—41no—
860C23×D4C2×D1711yescharacteristic
861C24×C4C2×D1711yescharacteristic
862C2×#126—171no—
863C2×#124—171no—
864C2×#123—171no—
865C2×#123—171no—
866C2×#123—171no—
867C2×C22⋊Q8—171no—
868C2×C22⋊Q8—171no—
869C2×C22⋊Q8—171no—
870C2×#121—171no—
871C2×#121—171no—
872C2×#121—171no—
873C2×#121—171no—
874C2×#120—171no—
875C2×#120—171no—
876C2×#120—171no—
877C2×#120—171no—
878C2×C4×D4—171no—
879C2×C4×D4—171no—
880C22×C22⋊C4C2×D1711yescharacteristic
881C22×C22⋊C4C2×D1711yescharacteristic
882C22×C22⋊C4C2×D1711yescharacteristic
883#401—171no—
884#400—171no—
885#400—171no—
886#400—171no—
887#400—171no—
888#400—171no—
889#400—171no—
890#399—171no—
891#398—171no—
892#398—171no—
893#397—171no—
894#397—171no—
895#397—171no—
896#397—171no—
897#397—171no—
898#397—171no—
899#397—171no—
900#397—171no—
901#397—171no—
902#396—171no—
903#396—171no—
904#396—171no—
905#394—171no—
906#394—171no—
907#394—171no—
908#394—171no—
909#394—171no—
910#394—171no—
911#394—171no—
912#394—171no—
913#394—171no—
914#394—171no—
915#394—171no—
916#394—171no—
917#394—171no—
918#394—171no—
919#394—171no—
920#393—171no—
921#393—171no—
922#392—171no—
923#392—171no—
924#392—171no—
925#392—171no—
926#392—171no—
927#392—171no—
928#392—171no—
929#392—171no—
930#392—171no—
931#391—171no—
932#390—171no—
933#390—171no—
934#390—171no—
935#390—171no—
936#390—171no—
937#390—171no—
938#389—171no—
939#388—171no—
940#388—171no—
941#388—171no—
942#388—171no—
943#388—171no—
944#388—171no—
945#388—171no—
946#388—171no—
947#388—171no—
948#388—171no—
949#388—171no—
950#388—171no—
951#388—171no—
952#388—171no—
953#388—171no—
954#388—171no—
955#388—171no—
956#388—171no—
957#388—171no—
958#387—171no—
959#387—171no—
960#387—171no—
961#387—171no—
962#387—171no—
963#386—171no—
964#386—171no—
965#386—171no—
966#386—171no—
967#386—171no—
968#386—171no—
969#386—171no—
970#386—171no—
971#386—171no—
972#386—171no—
973#386—171no—
974#386—171no—
975#386—171no—
976#386—171no—
977#386—171no—
978#386C2×D1711yescharacteristic
979#386C2×D1711yescharacteristic
980#386C2×D1711yescharacteristic
981#386C2×D1711yescharacteristic
982#386C2×D1711yescharacteristic
983#386C2×D1711yescharacteristic
984#386C2×D1711yescharacteristic
985#386C2×D1711yescharacteristic
986#385—171no—
987#385—171no—
988#385—171no—
989#385—171no—
990#385—171no—
991#385—171no—
992#385—171no—
993#385—171no—
994#385—171no—
995#383—171no—
996#382—171no—
997#381—171no—
998#381—171no—
999#381—171no—
1000#380—171no—
1001#380—171no—
1002#380—171no—
1003#380—171no—
1004#380—171no—
1005#380—171no—
1006#380—171no—
1007#379—171no—
1008#379—171no—
1009#379—171no—
1010#379—171no—
1011C4×C22⋊C4—171no—
1012C4×C22⋊C4—171no—
1013C2×#95C2×D1711yescharacteristic
1014C2×#95C2×D1711yescharacteristic
1015C2×C17—24no—
1016C2×C17—42no—
1017C2×C17—42no—
1018C2×C17—81no—
1019C2×C17—81no—
1020C2×C17C2×#53811yescharacteristic
1021C2×C17#350511yescharacteristic
1022C2×C17#350511yescharacteristic
1023C2×C17#353211yescharacteristic
1024C2×C17#353311yescharacteristic
1025C2×C17#354211yescharacteristic
1026C2×C17#354211yescharacteristic
1027D17—81no—
1028D17—81no—
1029C25C22×D1711yescharacteristic
1030C25C22×D1711yescharacteristic
1031C22×Q8—171no—
1032C22×D4—24no—
1033C22×D4—42no—
1034C22×D4—42no—
1035C22×D4—171no—
1036C22×D4—171no—
1037C22×D4—171no—
1038C22×D4—171no—
1039C22×D4—171no—
1040C22×D4—171no—
1041C22×D4—171no—
1042C22×D4—171no—
1043C22×D4—171no—
1044C22×D4—171no—
1045C22×D4—171no—
1046C22×D4C22×D1711yescharacteristic
1047C22×D4C22×D1711yescharacteristic
1048C22×D4C22×D1711yescharacteristic
1049C22×D4C22×D1711yescharacteristic
1050C23×C4—42no—
1051C23×C4—42no—
1052C23×C4—42no—
1053C23×C4—171no—
1054C23×C4—171no—
1055C23×C4C22×D1711yescharacteristic
1056C23×C4C22×D1711yescharacteristic
1057C23×C4C22×D1711yescharacteristic
1058C23×C4C22×D1711yescharacteristic
1059C23×C4C22×D1711yescharacteristic
1060C23×C4C22×D1711yescharacteristic
1061C23×C4C22×D1711yescharacteristic
1062C23×C4C22×D1711yescharacteristic
1063C23×C4C22×D1711yescharacteristic
1064#126—682no—
1065#124—682no—
1066#123—682no—
1067#123—682no—
1068#123—682no—
1069C22⋊Q8—682no—
1070C22⋊Q8—682no—
1071C22⋊Q8—682no—
1072#121—682no—
1073#121—682no—
1074#121—682no—
1075#121—682no—
1076#120—344no—
1077#120—344no—
1078#120—682no—
1079#120—682no—
1080C4×D4—682no—
1081C4×D4—682no—
1082C2×C4⋊C4—171no—
1083C2×C4⋊C4—171no—
1084C2×C4⋊C4—171no—
1085C2×C4⋊C4—171no—
1086C2×C4⋊C4—171no—
1087C2×C4⋊C4—171no—
1088C2×C4⋊C4—171no—
1089C2×C4⋊C4—171no—
1090C2×C4⋊C4—171no—
1091C2×C4⋊C4—171no—
1092C2×C4⋊C4—171no—
1093C2×C4⋊C4—171no—
1094C2×C4⋊C4—171no—
1095C2×C4⋊C4—171no—
1096C2×C4⋊C4—171no—
1097C2×C4⋊C4—171no—
1098C2×C4⋊C4—171no—
1099C2×C4⋊C4—171no—
1100C2×C4⋊C4—171no—
1101C2×C4⋊C4—171no—
1102C2×C4⋊C4—171no—
1103C2×C4⋊C4—171no—
1104C2×C22⋊C4—42no—
1105C2×C22⋊C4—42no—
1106C2×C22⋊C4—42no—
1107C2×C22⋊C4—171no—
1108C2×C22⋊C4—171no—
1109C2×C22⋊C4—171no—
1110C2×C22⋊C4—171no—
1111C2×C22⋊C4—171no—
1112C2×C22⋊C4—171no—
1113C2×C22⋊C4—171no—
1114C2×C22⋊C4—171no—
1115C2×C22⋊C4—171no—
1116C2×C22⋊C4—171no—
1117C2×C22⋊C4—171no—
1118C2×C22⋊C4—171no—
1119C2×C22⋊C4—171no—
1120C2×C22⋊C4—171no—
1121C2×C22⋊C4—171no—
1122C2×C22⋊C4—171no—
1123C2×C22⋊C4—171no—
1124C2×C22⋊C4—171no—
1125C2×C22⋊C4—171no—
1126C2×C22⋊C4—171no—
1127C2×C22⋊C4—171no—
1128C2×C22⋊C4—171no—
1129C2×C22⋊C4—171no—
1130C2×C22⋊C4—171no—
1131C2×C22⋊C4—171no—
1132C2×C22⋊C4—171no—
1133C2×C22⋊C4—171no—
1134C2×C22⋊C4—171no—
1135C2×C22⋊C4—171no—
1136C2×C22⋊C4—171no—
1137C2×C22⋊C4—171no—
1138C2×C22⋊C4—171no—
1139C2×C22⋊C4—171no—
1140C2×C22⋊C4—171no—
1141C2×C22⋊C4—171no—
1142C2×C22⋊C4—171no—
1143C2×C22⋊C4—171no—
1144C2×C22⋊C4—171no—
1145C2×C22⋊C4—171no—
1146C2×C22⋊C4—171no—
1147C2×C22⋊C4—171no—
1148C2×C22⋊C4—171no—
1149C2×C22⋊C4—171no—
1150C2×C22⋊C4—171no—
1151C2×C22⋊C4—171no—
1152C2×C22⋊C4—171no—
1153C2×C22⋊C4C22×D1711yescharacteristic
1154C2×C22⋊C4C22×D1711yescharacteristic
1155C2×C22⋊C4C22×D1711yescharacteristic
1156C2×C22⋊C4C22×D1711yescharacteristic
1157C2×C22⋊C4C22×D1711yescharacteristic
1158C2×C22⋊C4C22×D1711yescharacteristic
1159C2×C22⋊C4C22×D1711yescharacteristic
1160C2×C22⋊C4C22×D1711yescharacteristic
1161C2×C22⋊C4C22×D1711yescharacteristic
1162C2×C22⋊C4C22×D1711yescharacteristic
1163C2×C22⋊C4C22×D1711yescharacteristic
1164C2×C22⋊C4C22×D1711yescharacteristic
1165C2×C42—171no—
1166C2×C42—171no—
1167C2×C42—171no—
1168C2×C42—171no—
1169C2×C42—171no—
1170C2×C42—171no—
1171#95—171no—
1172#95—171no—
1173#95—171no—
1174#95—171no—
1175#95—171no—
1176#95—171no—
1177#95—171no—
1178#95—171no—
1179#95—171no—
1180#95—171no—
1181#95—171no—
1182#95—171no—
1183#95—171no—
1184#95—171no—
1185#95—171no—
1186#95—171no—
1187#95—171no—
1188#95—171no—
1189#95—171no—
1190#95—171no—
1191#95—171no—
1192#95—171no—
1193#95—171no—
1194#95—171no—
1195#95—171no—
1196#95—171no—
1197#95—171no—
1198#95—171no—
1199#95—171no—
1200#95—171no—
1201#95—171no—
1202#95—171no—
1203#95C22×D1711yescharacteristic
1204#95C22×D1711yescharacteristic
1205#95C22×D1711yescharacteristic
1206#95C22×D1711yescharacteristic
1207#95C22×D1711yescharacteristic
1208#95C22×D1711yescharacteristic
1209#95C22×D1711yescharacteristic
1210#95C22×D1711yescharacteristic
1211C17#3675811yescharacteristic, complemented, Sylow
1212C24—22no—
1213C24—22no—
1214C24—22no—
1215C24—22no—
1216C24—22no—
1217C24—41no—
1218C24—41no—
1219C24—41no—
1220C24—41no—
1221C24—41no—
1222C24—41no—
1223C24—41no—
1224C24—41no—
1225C24—171no—
1226C24—171no—
1227C24#6325214yes—
1228C24C23×D1711yescharacteristic
1229C24C23×D1711yescharacteristic
1230C24C23×D1711yescharacteristic
1231C24C23×D1711yescharacteristic
1232C24C23×D1711yescharacteristic
1233C2×Q8—342no—
1234C2×Q8—681no—
1235C2×Q8—681no—
1236C2×D4—22no—
1237C2×D4—22no—
1238C2×D4—22no—
1239C2×D4—22no—
1240C2×D4—41no—
1241C2×D4—41no—
1242C2×D4—41no—
1243C2×D4—41no—
1244C2×D4—41no—
1245C2×D4—41no—
1246C2×D4—41no—
1247C2×D4—41no—
1248C2×D4—416no—
1249C2×D4—342no—
1250C2×D4—342no—
1251C2×D4—342no—
1252C2×D4—342no—
1253C2×D4—342no—
1254C2×D4—342no—
1255C2×D4—342no—
1256C2×D4—342no—
1257C2×D4—342no—
1258C2×D4—342no—
1259C2×D4—342no—
1260C2×D4—681no—
1261C2×D4—681no—
1262C2×D4—681no—
1263C2×D4—681no—
1264C2×D4—681no—
1265C2×D4—681no—
1266C2×D4—681no—
1267C2×D4—681no—
1268C2×D4—681no—
1269C2×D4—681no—
1270C2×D4—681no—
1271C2×D4—681no—
1272C2×D4—681no—
1273C2×D4—681no—
1274C2×D4—681no—
1275C2×D4—681no—
1276C2×D4—681no—
1277C2×D4—681no—
1278C2×D4—681no—
1279C2×D4—681no—
1280C2×D4—681no—
1281C2×D4—681no—
1282C22×C4—22no—
1283C22×C4—22no—
1284C22×C4—22no—
1285C22×C4—22no—
1286C22×C4—22no—
1287C22×C4—22no—
1288C22×C4—22no—
1289C22×C4—22no—
1290C22×C4—22no—
1291C22×C4—22no—
1292C22×C4—22no—
1293C22×C4—22no—
1294C22×C4—22no—
1295C22×C4—41no—
1296C22×C4—41no—
1297C22×C4—41no—
1298C22×C4—41no—
1299C22×C4—41no—
1300C22×C4—41no—
1301C22×C4—41no—
1302C22×C4—41no—
1303C22×C4—41no—
1304C22×C4—41no—
1305C22×C4—41no—
1306C22×C4—41no—
1307C22×C4—41no—
1308C22×C4—41no—
1309C22×C4—416no—
1310C22×C4—171no—
1311C22×C4—171no—
1312C22×C4—171no—
1313C22×C4—171no—
1314C22×C4—171no—
1315C22×C4—171no—
1316C22×C4—171no—
1317C22×C4—171no—
1318C22×C4—171no—
1319C22×C4—171no—
1320C22×C4—171no—
1321C22×C4—171no—
1322C22×C4—171no—
1323C22×C4—171no—
1324C22×C4—681no—
1325C22×C4—681no—
1326C22×C4—681no—
1327C22×C4—681no—
1328C22×C4—681no—
1329C22×C4—681no—
1330C22×C4C23×D1711yescharacteristic
1331C22×C4C23×D1711yescharacteristic
1332C22×C4C23×D1711yescharacteristic
1333C22×C4C23×D1711yescharacteristic
1334C22×C4C23×D1711yescharacteristic
1335C22×C4C23×D1711yescharacteristic
1336C22×C4C23×D1711yescharacteristic
1337C22×C4C23×D1711yescharacteristic
1338C22×C4C23×D1711yescharacteristic
1339C22×C4C23×D1711yescharacteristic
1340C4⋊C4—342no—
1341C4⋊C4—342no—
1342C4⋊C4—342no—
1343C4⋊C4—342no—
1344C4⋊C4—681no—
1345C4⋊C4—681no—
1346C4⋊C4—681no—
1347C4⋊C4—681no—
1348C4⋊C4—681no—
1349C4⋊C4—681no—
1350C4⋊C4—681no—
1351C4⋊C4—681no—
1352C4⋊C4—681no—
1353C4⋊C4—681no—
1354C4⋊C4—681no—
1355C4⋊C4—681no—
1356C4⋊C4—681no—
1357C4⋊C4—681no—
1358C4⋊C4—681no—
1359C4⋊C4—681no—
1360C4⋊C4—681no—
1361C4⋊C4—681no—
1362C22⋊C4—22no—
1363C22⋊C4—22no—
1364C22⋊C4—22no—
1365C22⋊C4—22no—
1366C22⋊C4—41no—
1367C22⋊C4—41no—
1368C22⋊C4—41no—
1369C22⋊C4—41no—
1370C22⋊C4—41no—
1371C22⋊C4—41no—
1372C22⋊C4—41no—
1373C22⋊C4—41no—
1374C22⋊C4—342no—
1375C22⋊C4—342no—
1376C22⋊C4—342no—
1377C22⋊C4—342no—
1378C22⋊C4—342no—
1379C22⋊C4—342no—
1380C22⋊C4—342no—
1381C22⋊C4—342no—
1382C22⋊C4—342no—
1383C22⋊C4—342no—
1384C22⋊C4—342no—
1385C22⋊C4—342no—
1386C22⋊C4—681no—
1387C22⋊C4—681no—
1388C22⋊C4—681no—
1389C22⋊C4—681no—
1390C22⋊C4—681no—
1391C22⋊C4—681no—
1392C22⋊C4—681no—
1393C22⋊C4—681no—
1394C22⋊C4—681no—
1395C22⋊C4—681no—
1396C22⋊C4—681no—
1397C22⋊C4—681no—
1398C22⋊C4—681no—
1399C22⋊C4—681no—
1400C22⋊C4—681no—
1401C22⋊C4—681no—
1402C22⋊C4—681no—
1403C22⋊C4—681no—
1404C22⋊C4—681no—
1405C22⋊C4—681no—
1406C22⋊C4—681no—
1407C22⋊C4—681no—
1408C22⋊C4—681no—
1409C22⋊C4—681no—
1410C22⋊C4—681no—
1411C22⋊C4—681no—
1412C22⋊C4—681no—
1413C22⋊C4—681no—
1414C22⋊C4—681no—
1415C22⋊C4—681no—
1416C22⋊C4—681no—
1417C22⋊C4—681no—
1418C22⋊C4—681no—
1419C22⋊C4—681no—
1420C42—681no—
1421C42—681no—
1422C42—681no—
1423C42—681no—
1424C42—681no—
1425C42—681no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—28no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—44no—
1458C23—44no—
1459C23—44no—
1460C23—44no—
1461C23—44no—
1462C23—44no—
1463C23—44no—
1464C23—44no—
1465C23—44no—
1466C23—82no—
1467C23—82no—
1468C23—82no—
1469C23—82no—
1470C23—341no—
1471C23—341no—
1472C23—341no—
1473C23—341no—
1474C23—341no—
1475C23—341no—
1476C23—341no—
1477C23—341no—
1478C23—341no—
1479C23—341no—
1480C23—341no—
1481C23—341no—
1482C23—341no—
1483C23—341no—
1484C23C2×#6325212yes—
1485C23C2×#6325212yes—
1486C23C2×#6325212yes—
1487C23#1058769112yes—
1488C23#1058769112yes—
1489C23C24×D1711yescharacteristic
1490Q8—1362no—
1491D4—44no—
1492D4—44no—
1493D4—44no—
1494D4—44no—
1495D4—684no—
1496D4—684no—
1497D4—1362no—
1498D4—1362no—
1499D4—1362no—
1500D4—1362no—
1501D4—1362no—
1502D4—1362no—
1503D4—1362no—
1504D4—1362no—
1505D4—1362no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—44no—
1535C2×C4—44no—
1536C2×C4—44no—
1537C2×C4—44no—
1538C2×C4—44no—
1539C2×C4—44no—
1540C2×C4—44no—
1541C2×C4—82no—
1542C2×C4—82no—
1543C2×C4—341no—
1544C2×C4—341no—
1545C2×C4—341no—
1546C2×C4—341no—
1547C2×C4—341no—
1548C2×C4—341no—
1549C2×C4—341no—
1550C2×C4—341no—
1551C2×C4—341no—
1552C2×C4—341no—
1553C2×C4—341no—
1554C2×C4—341no—
1555C2×C4—341no—
1556C2×C4—341no—
1557C2×C4—341no—
1558C2×C4—341no—
1559C2×C4—341no—
1560C2×C4—341no—
1561C2×C4—341no—
1562C2×C4—341no—
1563C2×C4—341no—
1564C2×C4—341no—
1565C2×C4—341no—
1566C2×C4—341no—
1567C2×C4—341no—
1568C2×C4—341no—
1569C2×C4—341no—
1570C2×C4—341no—
1571C2×C4—341no—
1572C2×C4—341no—
1573C2×C4—341no—
1574C2×C4—341no—
1575C2×C4—341no—
1576C2×C4—341no—
1577C2×C4—341no—
1578C2×C4—341no—
1579C2×C4—341no—
1580C2×C4—341no—
1581C2×C4—341no—
1582C2×C4—341no—
1583C2×C4—341no—
1584C2×C4—341no—
1585C2×C4—1362no—
1586C2×C4—1362no—
1587C2×C4#1058769112yes—
1588C2×C4#1058769112yes—
1589C22—22no—
1590C22—22no—
1591C22—22no—
1592C22—22no—
1593C22—22no—
1594C22—22no—
1595C22—22no—
1596C22—22no—
1597C22—22no—
1598C22—22no—
1599C22—22no—
1600C22—22no—
1601C22—416no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—41no—
1624C22—88no—
1625C22—681no—
1626C22—681no—
1627C22—681no—
1628C22—681no—
1629C22—681no—
1630C22—681no—
1631C22—681no—
1632C22—681no—
1633C22—681no—
1634C22—681no—
1635C22—681no—
1636C22—681no—
1637C22—681no—
1638C22—681no—
1639C22#1176339714yes—
1640C22C22×#6325211yescharacteristic
1641C22C2×#1058769111yescharacteristic
1642C22C2×#1058769111yescharacteristic
1643C22C2×#1058769111yescharacteristic
1644C22C2×#1058769111yescharacteristic
1645C22#1176364511yescharacteristic
1646C22#1176364511yescharacteristic
1647C4—22no—
1648C4—22no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—681no—
1658C4—681no—
1659C4—681no—
1660C4—681no—
1661C4—681no—
1662C4—681no—
1663C4—681no—
1664C4—681no—
1665C4—681no—
1666C4—681no—
1667C4—681no—
1668C4—681no—
1669C4—681no—
1670C4—681no—
1671C2—24no—
1672C2—42no—
1673C2—42no—
1674C2—81no—
1675C2—81no—
1676C2—1361no—
1677C2—1361no—
1678C2C2×#1176339711yescharacteristic
1679C2#1454262311yescharacteristic
1680C2#1454262311yescharacteristic
1681C2#1454293911yescharacteristic
1682C2#1454295511yescharacteristic
1683C2#1454310411yescharacteristic
1684C2#1454310411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D17
commutator, socle, cosocleC23×C17C25
FittingC2×C17×#386C2
hypercenterC2×#386D17
hypocenterC17#36758
LCSG ▷ C23×C17 ▷ C17
UCSC1 ◁ C23 ◁ C2×#386

Complements

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

NH ≅ G/Ntype
1. #14537071C2semidirect
2. #14537066C2semidirect
3. #14536637C2semidirect
4. #14536450C2semidirect
5. #14536421C2semidirect
6. #14536406C2semidirect
7. #14536405C2semidirect
8. #14536109C2semidirect
9. #14536064C2semidirect
10. #14536010C2semidirect
11. #14535903C2semidirect
12. #14535784C2semidirect
13. #14535583C2semidirect
14. #14535431C2semidirect
15. #14535416C2semidirect
16. #14535335C2semidirect
17. #14535221C2semidirect
18. #14535089C2semidirect
19. #14534496C2semidirect
20. #14534496C2semidirect
21. #14533169C2semidirect
22. #14533110C2semidirect
23. #14533024C2semidirect
24. #14532904C2semidirect
25. #14532335C2semidirect
26. #14532320C2semidirect
27. #14532261C2semidirect
28. #14532246C2semidirect
29. #14531442C2semidirect
30. #14531442C2semidirect
31. C2×C17×#386C2semidirect
32. C2×#10587565C22semidirect
33. C2×#10587571C22semidirect
36. C2×#10587569C22semidirect
38. C2×#10587610C22semidirect
39. C2×#10587610C22semidirect
41. C2×#10587616C22semidirect
42. C2×#10587616C22semidirect
43. C2×#10587570C22semidirect
50. C17⋊#401C22semidirect
51. #11762751C22semidirect
52. #11762751C22semidirect
53. #11762750C22semidirect
54. #11762750C22semidirect
55. #11762750C22semidirect
56. #11762749C22semidirect
57. #11762745C22semidirect
58. #11762743C22semidirect
59. #11762743C22semidirect
60. #11762738C22semidirect
61. #11762738C22semidirect
62. #11762738C22semidirect
63. #11762737C22semidirect
64. #11762737C22semidirect
65. #11762737C22semidirect
66. #11762737C22semidirect
67. #11762736C22semidirect
68. #11762734C22semidirect
69. #11762733C22semidirect
70. #11762732C22semidirect
71. #11762732C22semidirect
72. #11762727C22semidirect
73. #11762725C22semidirect
74. #11762725C22semidirect
75. #11762724C22semidirect
76. #11762724C22semidirect
77. #11762724C22semidirect
78. #11762724C22semidirect
87. #11762722C22semidirect
88. #11762721C22semidirect
89. #11762718C22semidirect
98. #11762713C22semidirect
99. #11762709C22semidirect
100. #11762709C22semidirect
101. #11762709C22semidirect
102. #11762709C22semidirect
103. #11762709C22semidirect
104. #11762709C22semidirect
105. #11762706C22semidirect
106. #11762703C22semidirect
107. #11762703C22semidirect
108. #11762703C22semidirect
109. #11762703C22semidirect
110. #11762703C22semidirect
111. #11762703C22semidirect
112. #11762702C22semidirect
113. #11762702C22semidirect
114. #11762702C22semidirect
115. #11762702C22semidirect
116. #11762701C22semidirect
117. #11762698C22semidirect
118. #11762698C22semidirect
119. #11762697C22semidirect
120. #11762697C22semidirect
121. #11762697C22semidirect
122. #11762697C22semidirect
123. #11762697C22semidirect
124. #11762697C22semidirect
125. #11762696C22semidirect
126. #11762694C22semidirect
127. #11762692C22semidirect
128. #11762691C22semidirect
129. #11762691C22semidirect
134. #11762688C22semidirect
135. #11762688C22semidirect
136. #11762688C22semidirect
137. #11762688C22semidirect
138. #11762687C22semidirect
139. #11762685C22semidirect
140. #11762685C22semidirect
141. #11762685C22semidirect
142. #11762685C22semidirect
143. #11762685C22semidirect
144. #11762685C22semidirect
145. #11762683C22semidirect
150. #11762682C22semidirect
151. #11762682C22semidirect
152. #11762682C22semidirect
153. #11762682C22semidirect
154. #11762676C22semidirect
155. #11762673C22semidirect
158. #11762671C22semidirect
161. #11762669C22semidirect
162. #11762669C22semidirect
163. #11762669C22semidirect
164. #11762669C22semidirect
165. #11762668C22semidirect
777. C2×#386D17semidirect
1211. C17#36758semidirect

Maximal subgroups

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

subgroupindex
#145370712
#145370662
#145366372
#145364502
#145364212
#145364062
#145364052
#145361092
#145360642
#145360102
#145359032
#145357842
#145355832
#145354312
#145354162
#145353352
#145352212
#145350892
#145344962
#145331692
#145331102
#145330242
#145329042
#145323352
#145323202
#145322612
#145322462
#145314422
C2×C17×#3862
#3675817