Finite Group Databasebeta

← #17242676

Subgroups — #17242676

Order 4352.

2078 conjugacy classes of subgroups.

The subgroup lattice has 1622 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#14537074C211yesmaximal, characteristic, complemented
2#14537064C211yesmaximal, characteristic, complemented
3#14536433C211yesmaximal, characteristic, complemented
4#14536433C211yesmaximal, characteristic, complemented
5#14536266C211yesmaximal, characteristic, complemented
6#14536165C211yesmaximal, characteristic, complemented
7#14536061C211yesmaximal, characteristic, complemented
8#14536009C211yesmaximal, characteristic, complemented
9#14535998C211yesmaximal, characteristic, complemented
10#14535930C211yesmaximal, characteristic, complemented
11#14535860C211yesmaximal, characteristic, complemented
12#14535541C211yesmaximal, characteristic, complemented
13#14535490C211yesmaximal, characteristic, complemented
14#14535479C211yesmaximal, characteristic, complemented
15#14535395C211yesmaximal, characteristic, complemented
16#14535395C211yesmaximal, characteristic, complemented
17#14535219C211yesmaximal, characteristic, complemented
18#14535022C211yesmaximal, characteristic, complemented
19#14534566C211yesmaximal, characteristic, complemented
20#14534530C211yesmaximal, characteristic, complemented
21#14533674C211yesmaximal, characteristic, complemented
22#14532508C211yesmaximal, characteristic, complemented
23#14532339C211yesmaximal, characteristic, complemented
24#14532324C211yesmaximal, characteristic, complemented
25#14532257C211yesmaximal, characteristic, complemented
26#14532242C211yesmaximal, characteristic, complemented
27#14532225C211yesmaximal, characteristic, complemented
28#14531489C211yesmaximal, characteristic, complemented
29#14531411C211yesmaximal, characteristic, complemented
30C2×#11762684C211yesmaximal, characteristic, complemented
31C17×#2539C211yesmaximal, characteristic, complemented
32C24×Dic17C2211yescharacteristic
33C2×#10587556C2211yescharacteristic, complemented
34C2×#10587615C2211yescharacteristic
35C2×#10587621C2211yescharacteristic
36C2×#10587621C2211yescharacteristic
37C2×#10587621C2211yescharacteristic
38C2×#10587625C2211yescharacteristic
39C2×#10587625C2211yescharacteristic
40C2×#10587625C2211yescharacteristic
41C2×#10587625C2211yescharacteristic
42C2×#10587625C2211yescharacteristic
43C2×#10587624C2211yescharacteristic, complemented
44C2×#10587639C2211yescharacteristic
45C2×D4×Dic17C2211yescharacteristic
46C2×D4×Dic17C2211yescharacteristic
47C2×C4×C22⋊D17C2211yescharacteristic
48C22×C4⋊Dic17C2211yescharacteristic
49C22×C4⋊Dic17C2211yescharacteristic
50C22×C22⋊Dic17C2211yescharacteristic
51#11762751C2211yescharacteristic, complemented
52#11762751C2211yescharacteristic, complemented
53#11762748C2211yescharacteristic, complemented
54#11762748C2211yescharacteristic, complemented
55#11762748C2211yescharacteristic, complemented
56#11762745C2211yescharacteristic
57#11762745C2211yescharacteristic, complemented
58#11762745C2211yescharacteristic, complemented
59#11762743C2211yescharacteristic, complemented
60#11762743C2211yescharacteristic, complemented
61#11762742C2211yescharacteristic, complemented
62#11762742C2211yescharacteristic, complemented
63#11762742C2211yescharacteristic, complemented
64#11762739C2211yescharacteristic, complemented
65#11762739C2211yescharacteristic, complemented
66#11762739C2211yescharacteristic, complemented
67#11762737C2211yescharacteristic, complemented
68#11762737C2211yescharacteristic, complemented
69#11762737C2211yescharacteristic, complemented
70#11762734C2211yescharacteristic
71#11762734C2211yescharacteristic, complemented
72#11762734C2211yescharacteristic, complemented
73#11762732C2211yescharacteristic
74#11762732C2211yescharacteristic
75#11762732C2211yescharacteristic
76#11762732C2211yescharacteristic, complemented
77#11762732C2211yescharacteristic, complemented
78#11762732C2211yescharacteristic, complemented
79#11762732C2211yescharacteristic, complemented
80#11762731C2211yescharacteristic, complemented
81#11762731C2211yescharacteristic, complemented
82#11762731C2211yescharacteristic, complemented
83#11762725C2211yescharacteristic
84#11762725C2211yescharacteristic
85#11762725C2211yescharacteristic
86#11762725C2211yescharacteristic, complemented
87#11762725C2211yescharacteristic, complemented
88#11762725C2211yescharacteristic, complemented
89#11762725C2211yescharacteristic, complemented
90#11762724C2211yescharacteristic, complemented
91#11762723C2211yescharacteristic
92#11762723C2211yescharacteristic
93#11762723C2211yescharacteristic
94#11762717C2211yescharacteristic
95#11762712C2211yescharacteristic, complemented
96#11762709C2211yescharacteristic
97#11762707C2211yescharacteristic, complemented
98#11762707C2211yescharacteristic, complemented
99#11762705C2211yescharacteristic, complemented
100#11762704C2211yescharacteristic, complemented
101#11762703C2211yescharacteristic
102#11762702C2211yescharacteristic, complemented
103#11762702C2211yescharacteristic, complemented
104#11762700C2211yescharacteristic, complemented
105#11762700C2211yescharacteristic, complemented
106#11762699C2211yescharacteristic, complemented
107#11762697C2211yescharacteristic
108#11762697C2211yescharacteristic
109#11762697C2211yescharacteristic
110#11762697C2211yescharacteristic
111#11762695C2211yescharacteristic, complemented
112#11762695C2211yescharacteristic, complemented
113#11762693C2211yescharacteristic, complemented
114#11762693C2211yescharacteristic, complemented
115#11762690C2211yescharacteristic, complemented
116#11762690C2211yescharacteristic, complemented
117#11762689C2211yescharacteristic
118#11762689C2211yescharacteristic
119#11762689C2211yescharacteristic
120#11762689C2211yescharacteristic
121#11762689C2211yescharacteristic
122#11762689C2211yescharacteristic
123#11762689C2211yescharacteristic
124#11762689C2211yescharacteristic
125#11762689C2211yescharacteristic
126#11762689C2211yescharacteristic
127#11762689C2211yescharacteristic, complemented
128#11762689C2211yescharacteristic, complemented
129#11762686C2211yescharacteristic
130#11762686C2211yescharacteristic
131#11762686C2211yescharacteristic
132#11762686C2211yescharacteristic
133#11762686C2211yescharacteristic, complemented
134#11762685C2211yescharacteristic
135#11762685C2211yescharacteristic
136#11762684C2211yescharacteristic
137#11762684C2211yescharacteristic
138#11762684C2211yescharacteristic
139#11762684C2211yescharacteristic
140#11762684C2211yescharacteristic
141#11762684C2211yescharacteristic
142#11762684C2211yescharacteristic
143#11762684C2211yescharacteristic
144#11762684C2211yescharacteristic, complemented
145#11762684C2211yescharacteristic, complemented
146#11762681C2211yescharacteristic
147#11762681C2211yescharacteristic
148#11762681C2211yescharacteristic
149#11762681C2211yescharacteristic
150#11762681C2211yescharacteristic
151#11762681C2211yescharacteristic
152#11762681C2211yescharacteristic, complemented
153#11762676C2211yescharacteristic, complemented
154#11762675C2211yescharacteristic, complemented
155#11762673C2211yescharacteristic, complemented
156#11762672C2211yescharacteristic
157#11762671C2211yescharacteristic, complemented
158#11762670C2211yescharacteristic
159#11762670C2211yescharacteristic
160#11762670C2211yescharacteristic, complemented
161#11762669C2211yescharacteristic
162#11762668C2211yescharacteristic, complemented
163#11762667C2211yescharacteristic
164#11762667C2211yescharacteristic
165#11762667C2211yescharacteristic
166#11762667C2211yescharacteristic
167#11762667C2211yescharacteristic, complemented
168#11762666C2211yescharacteristic, complemented
169#11762665C2211yescharacteristic
170C2×#10587502C2211yescharacteristic
171C2×#10587502C2211yescharacteristic
172C2×C17×#123C2211yescharacteristic
173C2×C17×#123C2211yescharacteristic
174C2×C17×#121C2211yescharacteristic
175C2×C17×#120C2211yescharacteristic
176C2×C17×#120C2211yescharacteristic
177C22×C22⋊C4×C17C2211yescharacteristic
178C17×#399C2211yescharacteristic
179C17×#399C2211yescharacteristic
180C17×#392C2211yescharacteristic
181C17×#392C2211yescharacteristic
182C17×#390C2211yescharacteristic
183C17×#390C2211yescharacteristic
184C17×#390C2211yescharacteristic
185C17×#390C2211yescharacteristic
186C4×C22⋊C4×C17C2211yescharacteristic
187C25×C17C2311yescharacteristic
188C22×D4×C17C2311yescharacteristic
189C22×D4×C17C2311yescharacteristic
190C22×D4×C17C2311yescharacteristic
191C22×D4×C17C2311yescharacteristic
192C22×D4×C17C2311yescharacteristic
193C22×D4×C17C2311yescharacteristic
194C22×D4×C17C2311yescharacteristic
195C23×C4×C17C2311yescharacteristic
196C23×C4×C17C2311yescharacteristic
197C22×C22⋊D17C2311yescharacteristic
198C22×C22⋊D17C2311yescharacteristic
199C22×C22⋊D17C2311yescharacteristic
200C22×C22⋊D17C2311yescharacteristic
201C22×C22⋊D17C2311yescharacteristic
202C23×Dic17—42no—
203C23×Dic17—42no—
204C23×Dic17—42no—
205C23×Dic17C2311yescharacteristic
206C23×Dic17C2311yescharacteristic
207C23×Dic17C2311yescharacteristic
208C23×Dic17C2311yescharacteristic
209C23×Dic17C2311yescharacteristic
210C23×Dic17C2311yescharacteristic
211C23×Dic17C2311yescharacteristic
212C23×Dic17C2311yescharacteristic
213C23×Dic17C2311yescharacteristic
214C23×Dic17C2311yescharacteristic
215C22×C4×D17C2311yescharacteristic
216C17×#123—42no—
217C17×#123—42no—
218C17×#121—24no—
219C17×#120—42no—
220C17×#120—42no—
221C2×C4⋊C4×C17C2311yescharacteristic
222C2×C4⋊C4×C17C2311yescharacteristic
223C2×C4⋊C4×C17C2311yescharacteristic
224C2×C4⋊C4×C17C2311yescharacteristic
225C2×C4⋊C4×C17C2311yescharacteristic
226C2×C22⋊C4×C17—24no—
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
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×C42×C17C2311yescharacteristic
244C2×C42×C17C2311yescharacteristic
245#10587639—42no—
246C2×C22⋊Dic17—42no—
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
271C2×C22⋊Dic17C2311yescharacteristic
272#10587625—42no—
273#10587625—42no—
274#10587625—42no—
275#10587625—42no—
276#10587625—42no—
277#10587624—42no—
278#10587621—42no—
279#10587621—42no—
280#10587621—42no—
281D4×Dic17—42no—
282D4×Dic17—42no—
283#10587615—42no—
284C4×C22⋊D17—24no—
285C2×#63227C2311yescharacteristic
286C2×#63227C2311yescharacteristic
287C2×#63227C2311yescharacteristic
288C2×#63227C2311yescharacteristic
289C2×#63227C2311yescharacteristic
290C2×#63227C2311yescharacteristic
291C2×#63227C2311yescharacteristic
292C2×#63227C2311yescharacteristic
293C2×#63227C2311yescharacteristic
294C2×C4⋊Dic17—42no—
295C2×C4⋊Dic17—42no—
296C2×C4⋊Dic17C2311yescharacteristic
297C2×C4⋊Dic17C2311yescharacteristic
298C2×C4⋊Dic17C2311yescharacteristic
299C2×C4⋊Dic17C2311yescharacteristic
300C2×C4⋊Dic17C2311yescharacteristic
301C2×C4⋊Dic17C2311yescharacteristic
302C2×C4⋊Dic17C2311yescharacteristic
303C2×C4⋊Dic17C2311yescharacteristic
304C2×C4⋊Dic17C2311yescharacteristic
305C2×C4⋊Dic17C2311yescharacteristic
306C2×C4⋊Dic17C2311yescharacteristic
307C2×C4⋊Dic17C2311yescharacteristic
308C2×#63225C2311yescharacteristic
309C2×#63225C2311yescharacteristic
310C2×#63225C2311yescharacteristic
311C2×#63225C2311yescharacteristic
312C2×#63225C2311yescharacteristic
313C2×#63225C2311yescharacteristic
314C2×#63225C2311yescharacteristic
315C2×#63225C2311yescharacteristic
316C2×#63225C2311yescharacteristic
317C2×#63225C2311yescharacteristic
318C2×#63225C2311yescharacteristic
319C2×#63225C2311yescharacteristic
320C2×#63225C2311yescharacteristic
321C2×#63225C2311yescharacteristic
322C2×#63225C2311yescharacteristic
323C2×#63225C2311yescharacteristic
324C2×#63225C2311yescharacteristic
325C2×C4×Dic17C2311yescharacteristic
326C2×C4×Dic17C2311yescharacteristic
327C2×C4×Dic17C2311yescharacteristic
328#10587556—42no—
329C17×#95C2311yescharacteristic
330C17×#95C2311yescharacteristic
331#10587502C2311yescharacteristic
332#10587502C2311yescharacteristic
333#10587502C2311yescharacteristic
334#10587502C2311yescharacteristic
335#10587502C2311yescharacteristic
336#10587502C2311yescharacteristic
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×C17C2411yescharacteristic
377C24×C17C2411yescharacteristic
378C24×C17C2411yescharacteristic
379C24×C17C2411yescharacteristic
380C24×C17C2411yescharacteristic
381C23×D17C2411yescharacteristic
382C2×D4×C17—22no—
383C2×D4×C17—22no—
384C2×D4×C17—22no—
385C2×D4×C17—22no—
386C2×D4×C17—22no—
387C2×D4×C17—22no—
388C2×D4×C17—22no—
389C2×D4×C17—22no—
390C2×D4×C17—22no—
391C2×D4×C17—22no—
392C2×D4×C17—22no—
393C2×D4×C17—41no—
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—41no—
403C22×C4×C17—22no—
404C22×C4×C17—22no—
405C22×C4×C17—22no—
406C22×C4×C17—41no—
407C22×C4×C17—41no—
408C22×C4×C17#4114yes—
409C22×C4×C17C2411yescharacteristic
410C22×C4×C17C2411yescharacteristic
411C22×C4×C17C2411yescharacteristic
412C22×C4×C17C2411yescharacteristic
413C22×C4×C17C2411yescharacteristic
414C22×C4×C17C2411yescharacteristic
415C22×C4×C17C2411yescharacteristic
416C22×C4×C17C2411yescharacteristic
417C22×C4×C17C2411yescharacteristic
418C22×C4×C17C2411yescharacteristic
419C2×C22⋊D17—22no—
420C2×C22⋊D17—22no—
421C2×C22⋊D17—22no—
422C2×C22⋊D17—22no—
423C2×C22⋊D17—22no—
424C2×C22⋊D17—22no—
425C2×C22⋊D17—41no—
426C2×C22⋊D17—41no—
427C2×C22⋊D17—41no—
428C2×C22⋊D17—41no—
429C2×C22⋊D17—41no—
430C2×C22⋊D17—41no—
431C2×C22⋊D17—41no—
432C2×C22⋊D17—41no—
433C2×C22⋊D17—41no—
434C22×Dic17—22no—
435C22×Dic17—22no—
436C22×Dic17—22no—
437C22×Dic17—22no—
438C22×Dic17—22no—
439C22×Dic17—22no—
440C22×Dic17—22no—
441C22×Dic17—22no—
442C22×Dic17—22no—
443C22×Dic17—41no—
444C22×Dic17—41no—
445C22×Dic17—41no—
446C22×Dic17—41no—
447C22×Dic17—41no—
448C22×Dic17—41no—
449C22×Dic17—41no—
450C22×Dic17—41no—
451C22×Dic17—41no—
452C22×Dic17—41no—
453C22×Dic17—41no—
454C22×Dic17—41no—
455C22×Dic17—41no—
456C22×Dic17—41no—
457C22×Dic17—41no—
458C22×Dic17—41no—
459C22×Dic17—41no—
460C22×Dic17—41no—
461C22×Dic17—41no—
462C22×Dic17—41no—
463C22×Dic17—41no—
464C22×Dic17—416no—
465C22×Dic17C2411yescharacteristic
466C22×Dic17C2411yescharacteristic
467C22×Dic17C2411yescharacteristic
468C22×Dic17C2411yescharacteristic
469C22×Dic17C2411yescharacteristic
470C22×Dic17C2411yescharacteristic
471C22×Dic17C2411yescharacteristic
472C22×Dic17C2411yescharacteristic
473C22×Dic17C2411yescharacteristic
474C22×Dic17C2411yescharacteristic
475C22×Dic17C2411yescharacteristic
476C22×Dic17C2411yescharacteristic
477C22×Dic17C2411yescharacteristic
478C22×Dic17C2411yescharacteristic
479C22×Dic17C2411yescharacteristic
480C2×C4×D17—22no—
481C2×C4×D17—41no—
482C2×C4×D17—41no—
483C4⋊C4×C17—22no—
484C4⋊C4×C17—41no—
485C4⋊C4×C17—41no—
486C4⋊C4×C17—41no—
487C4⋊C4×C17—41no—
488C22⋊C4×C17—22no—
489C22⋊C4×C17—22no—
490C22⋊C4×C17—22no—
491C22⋊C4×C17—22no—
492C22⋊C4×C17—22no—
493C22⋊C4×C17—22no—
494C22⋊C4×C17—22no—
495C22⋊C4×C17—22no—
496C22⋊C4×C17—41no—
497C22⋊C4×C17—41no—
498C22⋊C4×C17—41no—
499C22⋊C4×C17—41no—
500C22⋊C4×C17—41no—
501C22⋊C4×C17—41no—
502C22⋊C4×C17—41no—
503C22⋊C4×C17—41no—
504C42×C17—41no—
505C42×C17—41no—
506C22⋊Dic17—22no—
507C22⋊Dic17—22no—
508C22⋊Dic17—22no—
509C22⋊Dic17—22no—
510C22⋊Dic17—22no—
511C22⋊Dic17—22no—
512C22⋊Dic17—22no—
513C22⋊Dic17—22no—
514C22⋊Dic17—41no—
515C22⋊Dic17—41no—
516C22⋊Dic17—41no—
517C22⋊Dic17—41no—
518C22⋊Dic17—41no—
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—
531#63227—22no—
532#63227—41no—
533#63227—41no—
534#63227—41no—
535#63227—41no—
536#63227—41no—
537#63227—41no—
538#63227—41no—
539#63227—41no—
540C4⋊Dic17—22no—
541C4⋊Dic17—22no—
542C4⋊Dic17—41no—
543C4⋊Dic17—41no—
544C4⋊Dic17—41no—
545C4⋊Dic17—41no—
546C4⋊Dic17—41no—
547C4⋊Dic17—41no—
548C4⋊Dic17—41no—
549C4⋊Dic17—41no—
550C4⋊Dic17—41no—
551C4⋊Dic17—41no—
552#63225—22no—
553#63225—22no—
554#63225—22no—
555#63225—41no—
556#63225—41no—
557#63225—41no—
558#63225—41no—
559#63225—41no—
560#63225—41no—
561#63225—41no—
562#63225—41no—
563#63225—41no—
564#63225—41no—
565#63225—41no—
566#63225—41no—
567#63225—41no—
568#63225—41no—
569C4×Dic17—22no—
570C4×Dic17—41no—
571C4×Dic17—41no—
572#36777—171nomaximal, Sylow
573C23×C17—21no—
574C23×C17—21no—
575C23×C17—21no—
576C23×C17—21no—
577C23×C17—28no—
578C23×C17—21no—
579C23×C17—21no—
580C23×C17—21no—
581C23×C17—21no—
582C23×C17—21no—
583C23×C17—21no—
584C23×C17—21no—
585C23×C17—21no—
586C23×C17—21no—
587C23×C17—21no—
588C23×C17—21no—
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—44no—
605C23×C17—44no—
606C23×C17—44no—
607C23×C17—44no—
608C23×C17—44no—
609C23×C17—44no—
610C23×C17C2×#4112yes—
611C23×C17H(5,𝔽2)12yes—
612C23×C17H(5,𝔽2)12yes—
613C23×C17H(5,𝔽2)12yes—
614C23×C172−1+412yes—
615C23×C17C2511yescharacteristic
616C22×D17—21no—
617C22×D17—21no—
618C22×D17—21no—
619C22×D17—21no—
620C22×D17—21no—
621C22×D17—21no—
622C22×D17—21no—
623D4×C17—44no—
624D4×C17—44no—
625D4×C17—82no—
626D4×C17—82no—
627D4×C17—82no—
628D4×C17—82no—
629D4×C17—82no—
630C2×C4×C17—21no—
631C2×C4×C17—21no—
632C2×C4×C17—21no—
633C2×C4×C17—21no—
634C2×C4×C17—21no—
635C2×C4×C17—21no—
636C2×C4×C17—21no—
637C2×C4×C17—21no—
638C2×C4×C17—21no—
639C2×C4×C17—21no—
640C2×C4×C17—21no—
641C2×C4×C17—21no—
642C2×C4×C17—21no—
643C2×C4×C17—21no—
644C2×C4×C17—21no—
645C2×C4×C17—21no—
646C2×C4×C17—21no—
647C2×C4×C17—21no—
648C2×C4×C17—21no—
649C2×C4×C17—21no—
650C2×C4×C17—21no—
651C2×C4×C17—21no—
652C2×C4×C17—21no—
653C2×C4×C17—21no—
654C2×C4×C17—21no—
655C2×C4×C17—21no—
656C2×C4×C17—21no—
657C2×C4×C17—21no—
658C2×C4×C17—44no—
659C2×C4×C17—44no—
660C2×C4×C17C2×#4112yes—
661C2×C4×C17C2×#4112yes—
662C22⋊D17—44no—
663C22⋊D17—82no—
664C22⋊D17—82no—
665C22⋊D17—82no—
666C22⋊D17—82no—
667C2×Dic17—21no—
668C2×Dic17—21no—
669C2×Dic17—21no—
670C2×Dic17—21no—
671C2×Dic17—21no—
672C2×Dic17—21no—
673C2×Dic17—21no—
674C2×Dic17—21no—
675C2×Dic17—21no—
676C2×Dic17—21no—
677C2×Dic17—21no—
678C2×Dic17—21no—
679C2×Dic17—21no—
680C2×Dic17—21no—
681C2×Dic17—21no—
682C2×Dic17—21no—
683C2×Dic17—21no—
684C2×Dic17—21no—
685C2×Dic17—21no—
686C2×Dic17—21no—
687C2×Dic17—21no—
688C2×Dic17—21no—
689C2×Dic17—21no—
690C2×Dic17—21no—
691C2×Dic17—21no—
692C2×Dic17—21no—
693C2×Dic17—21no—
694C2×Dic17—21no—
695C2×Dic17—21no—
696C2×Dic17—21no—
697C2×Dic17—21no—
698C2×Dic17—21no—
699C2×Dic17—21no—
700C2×Dic17—21no—
701C2×Dic17—21no—
702C2×Dic17—21no—
703C2×Dic17—21no—
704C2×Dic17—21no—
705C2×Dic17—21no—
706C2×Dic17—21no—
707C2×Dic17—21no—
708C2×Dic17—21no—
709C2×Dic17—21no—
710C2×Dic17—21no—
711C2×Dic17—44no—
712C2×Dic17—44no—
713C2×Dic17—44no—
714C2×Dic17—44no—
715C2×Dic17—44no—
716C2×Dic17—44no—
717C2×Dic17—82no—
718C2×Dic17—82no—
719C2×Dic17—82no—
720C2×Dic17—82no—
721C2×Dic17H(5,𝔽2)12yes—
722C4×D17—82no—
723#2849—171no—
724#2847—171no—
725#2780—171no—
726#2780—171no—
727#2768—171no—
728#2761—171no—
729#2753—171no—
730#2749—171no—
731#2748—171no—
732#2743—171no—
733#2738—171no—
734#2711—171no—
735#2707—171no—
736#2706—171no—
737#2701—171no—
738#2701—171no—
739#2688—171no—
740#2671—171no—
741#2623—171no—
742#2618—171no—
743#2539D1711yescharacteristic, complemented
744#2534—171no—
745#2442—171no—
746#2425—171no—
747#2424—171no—
748#2419—171no—
749#2418—171no—
750#2416—171no—
751#2325—171no—
752#2318—171no—
753C2×#385—171no—
754C22×C17—22no—
755C22×C17—22no—
756C22×C17—22no—
757C22×C17—22no—
758C22×C17—22no—
759C22×C17—22no—
760C22×C17—22no—
761C22×C17—22no—
762C22×C17—22no—
763C22×C17—22no—
764C22×C17—22no—
765C22×C17—22no—
766C22×C17—416no—
767C22×C17—41no—
768C22×C17—41no—
769C22×C17—41no—
770C22×C17—41no—
771C22×C17—41no—
772C22×C17—41no—
773C22×C17—41no—
774C22×C17—41no—
775C22×C17—41no—
776C22×C17—41no—
777C22×C17—41no—
778C22×C17—41no—
779C22×C17—41no—
780C22×C17—41no—
781C22×C17—41no—
782C22×C17—41no—
783C22×C17—41no—
784C22×C17—41no—
785C22×C17—41no—
786C22×C17—41no—
787C22×C17—41no—
788C22×C17—41no—
789C22×C17#54014yes—
790C22×C17C22×#4111yescharacteristic
791C22×C17C2×H(5,𝔽2)11yescharacteristic
792C22×C17C2×H(5,𝔽2)11yescharacteristic
793C22×C17C2×H(5,𝔽2)11yescharacteristic
794C22×C17C2×H(5,𝔽2)11yescharacteristic
795C22×C17C2×2−1+411yescharacteristic
796C22×C17#58511yescharacteristic
797C2×D17—41no—
798C2×D17—41no—
799C2×D17—41no—
800C2×D17—41no—
801C2×D17—41no—
802C2×D17—41no—
803C2×D17—41no—
804C4×C17—22no—
805C4×C17—22no—
806C4×C17—41no—
807C4×C17—41no—
808C4×C17—41no—
809C4×C17—41no—
810C4×C17—41no—
811C4×C17—41no—
812C4×C17—41no—
813C4×C17—41no—
814Dic17—22no—
815Dic17—41no—
816Dic17—41no—
817Dic17—41no—
818Dic17—41no—
819Dic17—41no—
820Dic17—41no—
821Dic17—41no—
822Dic17—41no—
823Dic17—41no—
824Dic17—41no—
825Dic17—41no—
826Dic17—41no—
827Dic17—41no—
828Dic17—41no—
829C24×C4—171no—
830C2×#125—171no—
831C2×#123—171no—
832C2×#123—171no—
833C2×#123—171no—
834C2×#123—171no—
835C2×#123C2×D1711yescharacteristic
836C2×#123C2×D1711yescharacteristic
837C2×#121—171no—
838C2×#121—171no—
839C2×#121—171no—
840C2×#121—171no—
841C2×#121—171no—
842C2×#121—171no—
843C2×#121C2×D1711yescharacteristic
844C2×#120—171no—
845C2×#120C2×D1711yescharacteristic
846C2×#120C2×D1711yescharacteristic
847C2×C4×D4—171no—
848C2×C4×D4—171no—
849C2×C4×D4—171no—
850C22×C4⋊C4—171no—
851C22×C4⋊C4—171no—
852C22×C22⋊C4—171no—
853C22×C22⋊C4C2×D1711yescharacteristic
854#400—171no—
855#400—171no—
856#400—171no—
857#400—171no—
858#400—171no—
859#399—171no—
860#399—171no—
861#399—171no—
862#399C2×D1711yescharacteristic
863#399C2×D1711yescharacteristic
864#398—171no—
865#398—171no—
866#398—171no—
867#398—171no—
868#398—171no—
869#398—171no—
870#398—171no—
871#398—171no—
872#397—171no—
873#397—171no—
874#397—171no—
875#397—171no—
876#397—171no—
877#397—171no—
878#396—171no—
879#396—171no—
880#396—171no—
881#396—171no—
882#396—171no—
883#396—171no—
884#396—171no—
885#396—171no—
886#396—171no—
887#396—171no—
888#394—171no—
889#394—171no—
890#394—171no—
891#394—171no—
892#394—171no—
893#394—171no—
894#394—171no—
895#394—171no—
896#394—171no—
897#394—171no—
898#394—171no—
899#392—171no—
900#392C2×D1711yescharacteristic
901#392C2×D1711yescharacteristic
902#390—171no—
903#390—171no—
904#390C2×D1711yescharacteristic
905#390C2×D1711yescharacteristic
906#390C2×D1711yescharacteristic
907#390C2×D1711yescharacteristic
908#389—171no—
909#389—171no—
910#389—171no—
911#389—171no—
912#388—171no—
913#388—171no—
914#388—171no—
915#388—171no—
916#388—171no—
917#388—171no—
918#388—171no—
919#388—171no—
920#388—171no—
921#388—171no—
922#387—171no—
923#387—171no—
924#387—171no—
925#387—171no—
926#387—171no—
927#387—171no—
928#386—171no—
929#386—171no—
930#386—171no—
931#386—171no—
932#386—171no—
933#386—171no—
934#386—171no—
935#386—171no—
936#386—171no—
937#386—171no—
938#386—171no—
939#386—171no—
940#386—171no—
941#386—171no—
942#386—171no—
943#386—171no—
944#386—171no—
945#386—171no—
946#386—171no—
947#385—171no—
948#385—171no—
949#385—171no—
950#385—171no—
951#385—171no—
952#385—171no—
953#385—171no—
954#385—171no—
955#385—171no—
956#385—171no—
957#385—171no—
958#385—171no—
959#385—171no—
960#385—171no—
961#385—171no—
962#385—171no—
963#385—171no—
964#383—171no—
965#382—171no—
966#382—171no—
967#381—171no—
968#381—171no—
969#381—171no—
970#381—171no—
971#381—171no—
972#380—171no—
973#380—171no—
974#380—171no—
975#380—171no—
976#380—171no—
977#380—171no—
978#380—171no—
979#380—171no—
980#379—171no—
981C4×C22⋊C4C2×D1711yescharacteristic
982C2×#95—171no—
983C2×#95—171no—
984C2×C17—24no—
985C2×C17—42no—
986C2×C17—42no—
987C2×C17—81no—
988C2×C17—81no—
989C2×C17C2×#54011yescharacteristic
990C2×C17#349211yescharacteristic
991C2×C17#350511yescharacteristic
992C2×C17#353211yescharacteristic
993C2×C17#353411yescharacteristic
994C2×C17#353511yescharacteristic
995C2×C17#353611yescharacteristic
996D17—81no—
997C25C22×D1711yescharacteristic
998C22×D4—171no—
999C22×D4—171no—
1000C22×D4—171no—
1001C22×D4—171no—
1002C22×D4—171no—
1003C22×D4C22×D1711yescharacteristic
1004C22×D4C22×D1711yescharacteristic
1005C22×D4C22×D1711yescharacteristic
1006C22×D4C22×D1711yescharacteristic
1007C22×D4C22×D1711yescharacteristic
1008C22×D4C22×D1711yescharacteristic
1009C22×D4C22×D1711yescharacteristic
1010C23×C4—171no—
1011C23×C4—171no—
1012C23×C4—171no—
1013C23×C4—171no—
1014C23×C4—171no—
1015C23×C4—171no—
1016C23×C4—171no—
1017C23×C4—171no—
1018C23×C4—171no—
1019C23×C4—171no—
1020C23×C4—171no—
1021C23×C4—682no—
1022C23×C4—682no—
1023C23×C4—682no—
1024C23×C4C22×D1711yescharacteristic
1025C23×C4C22×D1711yescharacteristic
1026#125—682no—
1027#123—42no—
1028#123—42no—
1029#123—682no—
1030#123—682no—
1031#123—682no—
1032#123—682no—
1033#121—24no—
1034#121—682no—
1035#121—682no—
1036#121—682no—
1037#121—682no—
1038#121—682no—
1039#121—682no—
1040#120—42no—
1041#120—42no—
1042#120—682no—
1043C4×D4—344no—
1044C4×D4—682no—
1045C4×D4—682no—
1046C2×C4⋊C4—171no—
1047C2×C4⋊C4—171no—
1048C2×C4⋊C4—171no—
1049C2×C4⋊C4—171no—
1050C2×C4⋊C4—171no—
1051C2×C4⋊C4—171no—
1052C2×C4⋊C4—171no—
1053C2×C4⋊C4—171no—
1054C2×C4⋊C4—171no—
1055C2×C4⋊C4—171no—
1056C2×C4⋊C4—171no—
1057C2×C4⋊C4—171no—
1058C2×C4⋊C4—171no—
1059C2×C4⋊C4—171no—
1060C2×C4⋊C4—171no—
1061C2×C4⋊C4—171no—
1062C2×C4⋊C4—171no—
1063C2×C4⋊C4—171no—
1064C2×C4⋊C4—171no—
1065C2×C4⋊C4—171no—
1066C2×C4⋊C4—171no—
1067C2×C4⋊C4—171no—
1068C2×C4⋊C4—171no—
1069C2×C4⋊C4—171no—
1070C2×C4⋊C4—171no—
1071C2×C4⋊C4—171no—
1072C2×C4⋊C4—171no—
1073C2×C4⋊C4—171no—
1074C2×C4⋊C4—171no—
1075C2×C4⋊C4—682no—
1076C2×C4⋊C4—682no—
1077C2×C4⋊C4C22×D1711yescharacteristic
1078C2×C4⋊C4C22×D1711yescharacteristic
1079C2×C4⋊C4C22×D1711yescharacteristic
1080C2×C4⋊C4C22×D1711yescharacteristic
1081C2×C4⋊C4C22×D1711yescharacteristic
1082C2×C22⋊C4—24no—
1083C2×C22⋊C4—171no—
1084C2×C22⋊C4—171no—
1085C2×C22⋊C4—171no—
1086C2×C22⋊C4—171no—
1087C2×C22⋊C4—171no—
1088C2×C22⋊C4—171no—
1089C2×C22⋊C4—171no—
1090C2×C22⋊C4—171no—
1091C2×C22⋊C4—171no—
1092C2×C22⋊C4—171no—
1093C2×C22⋊C4—171no—
1094C2×C22⋊C4—171no—
1095C2×C22⋊C4—171no—
1096C2×C22⋊C4—171no—
1097C2×C22⋊C4—171no—
1098C2×C22⋊C4—171no—
1099C2×C22⋊C4—171no—
1100C2×C22⋊C4—171no—
1101C2×C22⋊C4—171no—
1102C2×C22⋊C4—171no—
1103C2×C22⋊C4—171no—
1104C2×C22⋊C4—171no—
1105C2×C22⋊C4—171no—
1106C2×C22⋊C4—171no—
1107C2×C22⋊C4—171no—
1108C2×C22⋊C4—171no—
1109C2×C22⋊C4—171no—
1110C2×C22⋊C4—171no—
1111C2×C22⋊C4—171no—
1112C2×C22⋊C4—171no—
1113C2×C22⋊C4—171no—
1114C2×C22⋊C4—171no—
1115C2×C22⋊C4—171no—
1116C2×C22⋊C4—171no—
1117C2×C22⋊C4—682no—
1118C2×C22⋊C4C22×D1711yescharacteristic
1119C2×C22⋊C4C22×D1711yescharacteristic
1120C2×C22⋊C4C22×D1711yescharacteristic
1121C2×C22⋊C4C22×D1711yescharacteristic
1122C2×C22⋊C4C22×D1711yescharacteristic
1123C2×C22⋊C4C22×D1711yescharacteristic
1124C2×C22⋊C4C22×D1711yescharacteristic
1125C2×C22⋊C4C22×D1711yescharacteristic
1126C2×C22⋊C4C22×D1711yescharacteristic
1127C2×C22⋊C4C22×D1711yescharacteristic
1128C2×C22⋊C4C22×D1711yescharacteristic
1129C2×C22⋊C4C22×D1711yescharacteristic
1130C2×C22⋊C4C22×D1711yescharacteristic
1131C2×C22⋊C4C22×D1711yescharacteristic
1132C2×C22⋊C4C22×D1711yescharacteristic
1133C2×C22⋊C4C22×D1711yescharacteristic
1134C2×C42—171no—
1135C2×C42—171no—
1136C2×C42—171no—
1137C2×C42C22×D1711yescharacteristic
1138C2×C42C22×D1711yescharacteristic
1139#95—171no—
1140#95—171no—
1141#95—171no—
1142#95—171no—
1143#95—171no—
1144#95—171no—
1145#95—171no—
1146#95—171no—
1147#95—171no—
1148#95—171no—
1149#95—171no—
1150#95—171no—
1151#95—171no—
1152#95—171no—
1153#95—171no—
1154#95—171no—
1155#95—171no—
1156#95—171no—
1157#95—171no—
1158#95—171no—
1159#95—171no—
1160#95—171no—
1161#95—171no—
1162#95—171no—
1163#95—171no—
1164#95—171no—
1165#95—171no—
1166#95—171no—
1167#95—171no—
1168#95—171no—
1169#95—171no—
1170#95—171no—
1171#95—171no—
1172#95—171no—
1173#95—171no—
1174#95—171no—
1175#95—171no—
1176#95—171no—
1177#95C22×D1711yescharacteristic
1178#95C22×D1711yescharacteristic
1179C17#3677711yescharacteristic, complemented, Sylow
1180C24—22no—
1181C24—22no—
1182C24—22no—
1183C24—22no—
1184C24—22no—
1185C24—41no—
1186C24—41no—
1187C24—171no—
1188C24C23×D1711yescharacteristic
1189C24C23×D1711yescharacteristic
1190C24C23×D1711yescharacteristic
1191C24C23×D1711yescharacteristic
1192C24C23×D1711yescharacteristic
1193C2×D4—22no—
1194C2×D4—22no—
1195C2×D4—22no—
1196C2×D4—22no—
1197C2×D4—22no—
1198C2×D4—22no—
1199C2×D4—22no—
1200C2×D4—22no—
1201C2×D4—22no—
1202C2×D4—22no—
1203C2×D4—22no—
1204C2×D4—41no—
1205C2×D4—41no—
1206C2×D4—41no—
1207C2×D4—41no—
1208C2×D4—41no—
1209C2×D4—41no—
1210C2×D4—41no—
1211C2×D4—41no—
1212C2×D4—41no—
1213C2×D4—41no—
1214C2×D4—342no—
1215C2×D4—342no—
1216C2×D4—342no—
1217C2×D4—342no—
1218C2×D4—342no—
1219C2×D4—342no—
1220C2×D4—681no—
1221C2×D4—681no—
1222C2×D4—681no—
1223C2×D4—681no—
1224C2×D4—681no—
1225C2×D4—681no—
1226C2×D4—681no—
1227C2×D4—681no—
1228C2×D4—681no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—41no—
1233C22×C4—41no—
1234C22×C4—171no—
1235C22×C4—171no—
1236C22×C4—171no—
1237C22×C4—171no—
1238C22×C4—171no—
1239C22×C4—171no—
1240C22×C4—171no—
1241C22×C4—171no—
1242C22×C4—171no—
1243C22×C4—171no—
1244C22×C4—171no—
1245C22×C4—171no—
1246C22×C4—171no—
1247C22×C4—171no—
1248C22×C4—171no—
1249C22×C4—342no—
1250C22×C4—342no—
1251C22×C4—342no—
1252C22×C4—342no—
1253C22×C4—342no—
1254C22×C4—342no—
1255C22×C4—342no—
1256C22×C4—342no—
1257C22×C4—342no—
1258C22×C4—342no—
1259C22×C4—681no—
1260C22×C4—681no—
1261C22×C4—681no—
1262C22×C4—681no—
1263C22×C4—681no—
1264C22×C4—681no—
1265C22×C4—681no—
1266C22×C4—681no—
1267C22×C4—681no—
1268C22×C4—681no—
1269C22×C4—681no—
1270C22×C4—681no—
1271C22×C4—681no—
1272C22×C4—681no—
1273C22×C4—681no—
1274C22×C4—681no—
1275C22×C4—681no—
1276C22×C4—681no—
1277C22×C4—681no—
1278C22×C4—681no—
1279C22×C4—681no—
1280C22×C4—681no—
1281C22×C4—681no—
1282C22×C4—6816no—
1283C22×C4#6325414yes—
1284C22×C4C23×D1711yescharacteristic
1285C22×C4C23×D1711yescharacteristic
1286C22×C4C23×D1711yescharacteristic
1287C22×C4C23×D1711yescharacteristic
1288C22×C4C23×D1711yescharacteristic
1289C22×C4C23×D1711yescharacteristic
1290C22×C4C23×D1711yescharacteristic
1291C22×C4C23×D1711yescharacteristic
1292C22×C4C23×D1711yescharacteristic
1293C22×C4C23×D1711yescharacteristic
1294C4⋊C4—22no—
1295C4⋊C4—41no—
1296C4⋊C4—41no—
1297C4⋊C4—41no—
1298C4⋊C4—41no—
1299C4⋊C4—342no—
1300C4⋊C4—342no—
1301C4⋊C4—342no—
1302C4⋊C4—342no—
1303C4⋊C4—342no—
1304C4⋊C4—681no—
1305C4⋊C4—681no—
1306C4⋊C4—681no—
1307C4⋊C4—681no—
1308C4⋊C4—681no—
1309C4⋊C4—681no—
1310C4⋊C4—681no—
1311C4⋊C4—681no—
1312C4⋊C4—681no—
1313C4⋊C4—681no—
1314C4⋊C4—681no—
1315C4⋊C4—681no—
1316C4⋊C4—681no—
1317C4⋊C4—681no—
1318C4⋊C4—681no—
1319C4⋊C4—681no—
1320C4⋊C4—681no—
1321C4⋊C4—681no—
1322C4⋊C4—681no—
1323C4⋊C4—681no—
1324C4⋊C4—681no—
1325C4⋊C4—681no—
1326C4⋊C4—681no—
1327C4⋊C4—681no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—22no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—41no—
1343C22⋊C4—41no—
1344C22⋊C4—342no—
1345C22⋊C4—342no—
1346C22⋊C4—342no—
1347C22⋊C4—342no—
1348C22⋊C4—342no—
1349C22⋊C4—342no—
1350C22⋊C4—342no—
1351C22⋊C4—342no—
1352C22⋊C4—342no—
1353C22⋊C4—681no—
1354C22⋊C4—681no—
1355C22⋊C4—681no—
1356C22⋊C4—681no—
1357C22⋊C4—681no—
1358C22⋊C4—681no—
1359C22⋊C4—681no—
1360C22⋊C4—681no—
1361C22⋊C4—681no—
1362C22⋊C4—681no—
1363C22⋊C4—681no—
1364C22⋊C4—681no—
1365C22⋊C4—681no—
1366C22⋊C4—681no—
1367C22⋊C4—681no—
1368C22⋊C4—681no—
1369C22⋊C4—681no—
1370C22⋊C4—681no—
1371C22⋊C4—681no—
1372C22⋊C4—681no—
1373C22⋊C4—681no—
1374C22⋊C4—681no—
1375C22⋊C4—681no—
1376C22⋊C4—681no—
1377C22⋊C4—681no—
1378C42—41no—
1379C42—41no—
1380C42—342no—
1381C42—681no—
1382C42—681no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—28no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—44no—
1415C23—44no—
1416C23—44no—
1417C23—44no—
1418C23—44no—
1419C23—44no—
1420C23—341no—
1421C23—341no—
1422C23—341no—
1423C23—341no—
1424C23—341no—
1425C23—341no—
1426C23—341no—
1427C23C2×#6325412yes—
1428C23#1058769112yes—
1429C23#1058769112yes—
1430C23#1058769612yes—
1431C23#1058769712yes—
1432C23C24×D1711yescharacteristic
1433D4—44no—
1434D4—44no—
1435D4—82no—
1436D4—82no—
1437D4—82no—
1438D4—82no—
1439D4—82no—
1440D4—684no—
1441D4—1362no—
1442D4—1362no—
1443D4—1362no—
1444D4—1362no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—44no—
1474C2×C4—44no—
1475C2×C4—172no—
1476C2×C4—341no—
1477C2×C4—341no—
1478C2×C4—341no—
1479C2×C4—341no—
1480C2×C4—341no—
1481C2×C4—341no—
1482C2×C4—341no—
1483C2×C4—341no—
1484C2×C4—341no—
1485C2×C4—341no—
1486C2×C4—341no—
1487C2×C4—341no—
1488C2×C4—341no—
1489C2×C4—341no—
1490C2×C4—341no—
1491C2×C4—341no—
1492C2×C4—341no—
1493C2×C4—341no—
1494C2×C4—341no—
1495C2×C4—341no—
1496C2×C4—341no—
1497C2×C4—341no—
1498C2×C4—341no—
1499C2×C4—341no—
1500C2×C4—341no—
1501C2×C4—341no—
1502C2×C4—341no—
1503C2×C4—341no—
1504C2×C4—341no—
1505C2×C4—341no—
1506C2×C4—341no—
1507C2×C4—341no—
1508C2×C4—341no—
1509C2×C4—341no—
1510C2×C4—341no—
1511C2×C4—341no—
1512C2×C4—341no—
1513C2×C4—341no—
1514C2×C4—341no—
1515C2×C4—341no—
1516C2×C4—341no—
1517C2×C4—341no—
1518C2×C4—341no—
1519C2×C4—341no—
1520C2×C4—684no—
1521C2×C4—684no—
1522C2×C4—684no—
1523C2×C4—684no—
1524C2×C4—684no—
1525C2×C4—684no—
1526C2×C4—1362no—
1527C2×C4—1362no—
1528C2×C4—1362no—
1529C2×C4—1362no—
1530C2×C4—1362no—
1531C2×C4C2×#6325412yes—
1532C2×C4C2×#6325412yes—
1533C22—22no—
1534C22—22no—
1535C22—22no—
1536C22—22no—
1537C22—22no—
1538C22—22no—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—416no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—681no—
1569C22—681no—
1570C22—681no—
1571C22—681no—
1572C22—681no—
1573C22—681no—
1574C22—681no—
1575C22#1176341314yes—
1576C22C22×#6325411yescharacteristic
1577C22H(5,𝔽2)×D1711yescharacteristic
1578C22C2×#1058769111yescharacteristic
1579C22C2×#1058769111yescharacteristic
1580C22C2×#1058769611yescharacteristic
1581C22C2×#1058769711yescharacteristic
1582C22#1176364411yescharacteristic
1583C4—22no—
1584C4—22no—
1585C4—41no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—342no—
1594C4—681no—
1595C4—681no—
1596C4—681no—
1597C4—681no—
1598C4—681no—
1599C4—681no—
1600C4—681no—
1601C4—681no—
1602C4—681no—
1603C4—681no—
1604C4—681no—
1605C4—681no—
1606C4—681no—
1607C4—681no—
1608C2—24no—
1609C2—42no—
1610C2—42no—
1611C2—81no—
1612C2—81no—
1613C2—1361no—
1614C2C2×#1176341311yescharacteristic
1615C2#1454249011yescharacteristic
1616C2#1454262111yescharacteristic
1617C2#1454293311yescharacteristic
1618C2#1454297011yescharacteristic
1619C2#1454298111yescharacteristic
1620C2#1454299911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D17
commutator, socle, cosocleC23×C17C25
FittingC17×#2539C2
hypercenter#2539D17
hypocenterC17#36777
LCSG ▷ C23×C17 ▷ C17
UCSC1 ◁ C23 ◁ #2539

Complements

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

NH ≅ G/Ntype
1. #14537074C2semidirect
2. #14537064C2semidirect
3. #14536433C2semidirect
4. #14536433C2semidirect
5. #14536266C2semidirect
6. #14536165C2semidirect
7. #14536061C2semidirect
8. #14536009C2semidirect
9. #14535998C2semidirect
10. #14535930C2semidirect
11. #14535860C2semidirect
12. #14535541C2semidirect
13. #14535490C2semidirect
14. #14535479C2semidirect
15. #14535395C2semidirect
16. #14535395C2semidirect
17. #14535219C2semidirect
18. #14535022C2semidirect
19. #14534566C2semidirect
20. #14534530C2semidirect
21. #14533674C2semidirect
22. #14532508C2semidirect
23. #14532339C2semidirect
24. #14532324C2semidirect
25. #14532257C2semidirect
26. #14532242C2semidirect
27. #14532225C2semidirect
28. #14531489C2semidirect
29. #14531411C2semidirect
30. C2×#11762684C2semidirect
31. C17×#2539C2semidirect
33. C2×#10587556C22semidirect
43. C2×#10587624C22semidirect
51. #11762751C22semidirect
52. #11762751C22semidirect
53. #11762748C22semidirect
54. #11762748C22semidirect
55. #11762748C22semidirect
57. #11762745C22semidirect
58. #11762745C22semidirect
59. #11762743C22semidirect
60. #11762743C22semidirect
61. #11762742C22semidirect
62. #11762742C22semidirect
63. #11762742C22semidirect
64. #11762739C22semidirect
65. #11762739C22semidirect
66. #11762739C22semidirect
67. #11762737C22semidirect
68. #11762737C22semidirect
69. #11762737C22semidirect
71. #11762734C22semidirect
72. #11762734C22semidirect
76. #11762732C22semidirect
77. #11762732C22semidirect
78. #11762732C22semidirect
79. #11762732C22semidirect
80. #11762731C22semidirect
81. #11762731C22semidirect
82. #11762731C22semidirect
86. #11762725C22semidirect
87. #11762725C22semidirect
88. #11762725C22semidirect
89. #11762725C22semidirect
90. #11762724C22semidirect
95. #11762712C22semidirect
97. #11762707C22semidirect
98. #11762707C22semidirect
99. #11762705C22semidirect
100. #11762704C22semidirect
102. #11762702C22semidirect
103. #11762702C22semidirect
104. #11762700C22semidirect
105. #11762700C22semidirect
106. #11762699C22semidirect
111. #11762695C22semidirect
112. #11762695C22semidirect
113. #11762693C22semidirect
114. #11762693C22semidirect
115. #11762690C22semidirect
116. #11762690C22semidirect
127. #11762689C22semidirect
128. #11762689C22semidirect
133. #11762686C22semidirect
144. #11762684C22semidirect
145. #11762684C22semidirect
152. #11762681C22semidirect
153. #11762676C22semidirect
154. #11762675C22semidirect
155. #11762673C22semidirect
157. #11762671C22semidirect
160. #11762670C22semidirect
162. #11762668C22semidirect
167. #11762667C22semidirect
168. #11762666C22semidirect
743. #2539D17semidirect
1179. C17#36777semidirect

Maximal subgroups

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

subgroupindex
#145370742
#145370642
#145364332
#145362662
#145361652
#145360612
#145360092
#145359982
#145359302
#145358602
#145355412
#145354902
#145354792
#145353952
#145352192
#145350222
#145345662
#145345302
#145336742
#145325082
#145323392
#145323242
#145322572
#145322422
#145322252
#145314892
#145314112
C2×#117626842
C17×#25392
#3677717