Finite Group Databasebeta

← #17241534

Subgroups — #17241534

Order 4352.

2130 conjugacy classes of subgroups.

The subgroup lattice has 1678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#14537064C211yesmaximal, characteristic, complemented
2#14537064C211yesmaximal, characteristic, complemented
3#14535929C211yesmaximal, characteristic, complemented
4#14535925C211yesmaximal, characteristic, complemented
5#14535921C211yesmaximal, characteristic, complemented
6#14535917C211yesmaximal, characteristic, complemented
7#14535890C211yesmaximal, characteristic, complemented
8#14535886C211yesmaximal, characteristic, complemented
9#14535882C211yesmaximal, characteristic, complemented
10#14535878C211yesmaximal, characteristic, complemented
11#14535374C211yesmaximal, characteristic, complemented
12#14535372C211yesmaximal, characteristic, complemented
13#14535369C211yesmaximal, characteristic, complemented
14#14535367C211yesmaximal, characteristic, complemented
15#14535226C211yesmaximal, characteristic, complemented
16#14535222C211yesmaximal, characteristic, complemented
17#14535218C211yesmaximal, characteristic, complemented
18#14535214C211yesmaximal, characteristic, complemented
19#14534888C211yesmaximal, characteristic, complemented
20#14534756C211yesmaximal, characteristic, complemented
21#14532538C211yesmaximal, characteristic, complemented
22#14532536C211yesmaximal, characteristic, complemented
23#14532530C211yesmaximal, characteristic, complemented
24#14532528C211yesmaximal, characteristic, complemented
25#14532324C211yesmaximal, characteristic, complemented
26#14532320C211yesmaximal, characteristic, complemented
27#14532316C211yesmaximal, characteristic, complemented
28#14531485C211yesmaximal, characteristic, complemented
29#14531482C211yesmaximal, characteristic, complemented
30C2×#11762670C211yesmaximal, characteristic, complemented
31C17×#2424C211yesmaximal, characteristic, complemented
32C24×Dic17C2211yescharacteristic
33C2×#10587616C2211yescharacteristic
34C2×#10587570C2211yescharacteristic
35C2×#10587625C2211yescharacteristic
36C2×#10587625C2211yescharacteristic
37C2×#10587625C2211yescharacteristic
38C2×#10587625C2211yescharacteristic
39C2×#10587625C2211yescharacteristic
40C2×#10587625C2211yescharacteristic
41C2×#10587625C2211yescharacteristic
42C2×#10587625C2211yescharacteristic
43C2×#10587625C2211yescharacteristic
44C2×#10587624C2211yescharacteristic
45C2×#10587639C2211yescharacteristic
46C2×#10587639C2211yescharacteristic
47C2×D4×Dic17C2211yescharacteristic
48C2×C4×C22⋊D17C2211yescharacteristic
49C2×#10587567C2211yescharacteristic
50C22×C22⋊Dic17C2211yescharacteristic
51#11762751C2211yescharacteristic, complemented
52#11762750C2211yescharacteristic, complemented
53#11762750C2211yescharacteristic, complemented
54#11762750C2211yescharacteristic, complemented
55#11762749C2211yescharacteristic, complemented
56#11762748C2211yescharacteristic, complemented
57#11762747C2211yescharacteristic, complemented
58#11762747C2211yescharacteristic, complemented
59#11762745C2211yescharacteristic, complemented
60#11762745C2211yescharacteristic, complemented
61#11762744C2211yescharacteristic, complemented
62#11762744C2211yescharacteristic, complemented
63#11762743C2211yescharacteristic, complemented
64#11762742C2211yescharacteristic, complemented
65#11762740C2211yescharacteristic, complemented
66#11762739C2211yescharacteristic, complemented
67#11762738C2211yescharacteristic, complemented
68#11762737C2211yescharacteristic, complemented
69#11762737C2211yescharacteristic, complemented
70#11762737C2211yescharacteristic, complemented
71#11762736C2211yescharacteristic, complemented
72#11762735C2211yescharacteristic, complemented
73#11762735C2211yescharacteristic, complemented
74#11762734C2211yescharacteristic, complemented
75#11762732C2211yescharacteristic
76#11762732C2211yescharacteristic
77#11762732C2211yescharacteristic
78#11762726C2211yescharacteristic, complemented
79#11762725C2211yescharacteristic
80#11762725C2211yescharacteristic
81#11762725C2211yescharacteristic, complemented
82#11762724C2211yescharacteristic
83#11762724C2211yescharacteristic
84#11762724C2211yescharacteristic, complemented
85#11762723C2211yescharacteristic
86#11762723C2211yescharacteristic
87#11762723C2211yescharacteristic, complemented
88#11762718C2211yescharacteristic
89#11762718C2211yescharacteristic, complemented
90#11762718C2211yescharacteristic, complemented
91#11762717C2211yescharacteristic
92#11762717C2211yescharacteristic
93#11762717C2211yescharacteristic, complemented
94#11762717C2211yescharacteristic, complemented
95#11762712C2211yescharacteristic
96#11762709C2211yescharacteristic
97#11762709C2211yescharacteristic
98#11762703C2211yescharacteristic
99#11762703C2211yescharacteristic, complemented
100#11762702C2211yescharacteristic
101#11762702C2211yescharacteristic, complemented
102#11762700C2211yescharacteristic, complemented
103#11762700C2211yescharacteristic, complemented
104#11762699C2211yescharacteristic, complemented
105#11762698C2211yescharacteristic, complemented
106#11762697C2211yescharacteristic
107#11762697C2211yescharacteristic, complemented
108#11762697C2211yescharacteristic, complemented
109#11762696C2211yescharacteristic, complemented
110#11762695C2211yescharacteristic, complemented
111#11762693C2211yescharacteristic, complemented
112#11762693C2211yescharacteristic, complemented
113#11762692C2211yescharacteristic, complemented
114#11762691C2211yescharacteristic, 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, complemented
126#11762688C2211yescharacteristic
127#11762688C2211yescharacteristic, complemented
128#11762688C2211yescharacteristic, complemented
129#11762687C2211yescharacteristic, complemented
130#11762686C2211yescharacteristic
131#11762686C2211yescharacteristic
132#11762686C2211yescharacteristic
133#11762686C2211yescharacteristic
134#11762686C2211yescharacteristic
135#11762686C2211yescharacteristic
136#11762686C2211yescharacteristic
137#11762686C2211yescharacteristic, complemented
138#11762685C2211yescharacteristic
139#11762685C2211yescharacteristic
140#11762685C2211yescharacteristic, complemented
141#11762685C2211yescharacteristic, complemented
142#11762685C2211yescharacteristic, complemented
143#11762684C2211yescharacteristic
144#11762683C2211yescharacteristic, complemented
145#11762682C2211yescharacteristic
146#11762682C2211yescharacteristic, complemented
147#11762681C2211yescharacteristic
148#11762681C2211yescharacteristic, complemented
149#11762680C2211yescharacteristic, complemented
150#11762672C2211yescharacteristic, complemented
151#11762671C2211yescharacteristic, complemented
152#11762671C2211yescharacteristic, complemented
153#11762670C2211yescharacteristic
154#11762670C2211yescharacteristic
155#11762670C2211yescharacteristic
156#11762670C2211yescharacteristic
157#11762670C2211yescharacteristic
158#11762670C2211yescharacteristic
159#11762670C2211yescharacteristic
160#11762670C2211yescharacteristic
161#11762670C2211yescharacteristic, complemented
162#11762667C2211yescharacteristic
163#11762667C2211yescharacteristic
164#11762667C2211yescharacteristic
165#11762667C2211yescharacteristic
166#11762667C2211yescharacteristic
167#11762667C2211yescharacteristic
168C2×#10587502C2211yescharacteristic
169C2×#10587502C2211yescharacteristic
170C2×#10587502C2211yescharacteristic
171C2×#10587502C2211yescharacteristic
172C2×C17×#121C2211yescharacteristic
173C2×C17×#121C2211yescharacteristic
174C2×C17×#120C2211yescharacteristic
175C2×C17×#120C2211yescharacteristic
176C2×C4×D4×C17C2211yescharacteristic
177C22×C22⋊C4×C17C2211yescharacteristic
178C17×#396C2211yescharacteristic
179C17×#394C2211yescharacteristic
180C17×#394C2211yescharacteristic
181C17×#392C2211yescharacteristic
182C17×#390C2211yescharacteristic
183C17×#388C2211yescharacteristic
184C17×#386C2211yescharacteristic
185C17×#386C2211yescharacteristic
186C17×#385C2211yescharacteristic
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
197C23×C4×C17C2311yescharacteristic
198C22×C22⋊D17C2311yescharacteristic
199C22×C22⋊D17C2311yescharacteristic
200C22×C22⋊D17C2311yescharacteristic
201C22×C22⋊D17C2311yescharacteristic
202C22×C22⋊D17C2311yescharacteristic
203C22×C22⋊D17C2311yescharacteristic
204C22×C22⋊D17C2311yescharacteristic
205C22×C22⋊D17C2311yescharacteristic
206C22×C22⋊D17C2311yescharacteristic
207C22×C22⋊D17C2311yescharacteristic
208C23×Dic17—24no—
209C23×Dic17—42no—
210C23×Dic17—42no—
211C23×Dic17C2311yescharacteristic
212C23×Dic17C2311yescharacteristic
213C23×Dic17C2311yescharacteristic
214C23×Dic17C2311yescharacteristic
215C23×Dic17C2311yescharacteristic
216C23×Dic17C2311yescharacteristic
217C23×Dic17C2311yescharacteristic
218C23×Dic17C2311yescharacteristic
219C23×Dic17C2311yescharacteristic
220C22×D68C2311yescharacteristic
221C22×C4×D17C2311yescharacteristic
222C22×C4×D17C2311yescharacteristic
223C17×#121—42no—
224C17×#121—42no—
225C17×#120—42no—
226C17×#120—42no—
227C4×D4×C17—42no—
228C2×C4⋊C4×C17C2311yescharacteristic
229C2×C4⋊C4×C17C2311yescharacteristic
230C2×C4⋊C4×C17C2311yescharacteristic
231C2×C4⋊C4×C17C2311yescharacteristic
232C2×C22⋊C4×C17—42no—
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
247C2×C22⋊C4×C17C2311yescharacteristic
248C2×C42×C17C2311yescharacteristic
249#10587639—42no—
250#10587639—42no—
251C2×C22⋊Dic17—42no—
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
272C2×C22⋊Dic17C2311yescharacteristic
273#10587625—24no—
274#10587625—24no—
275#10587625—42no—
276#10587625—42no—
277#10587625—42no—
278#10587625—42no—
279#10587625—42no—
280#10587625—42no—
281#10587625—42no—
282#10587624—42no—
283D4×Dic17—42no—
284#10587616—42no—
285C4×C22⋊D17—42no—
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×C4⋊Dic17C2311yescharacteristic
303C2×C4⋊Dic17C2311yescharacteristic
304C2×C4⋊Dic17C2311yescharacteristic
305C2×C4⋊Dic17C2311yescharacteristic
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×#63225C2311yescharacteristic
320C2×C4×Dic17C2311yescharacteristic
321C2×C4×Dic17C2311yescharacteristic
322C2×C4×Dic17C2311yescharacteristic
323#10587570—42no—
324#10587567—42no—
325C17×#95C2311yescharacteristic
326C17×#95C2311yescharacteristic
327C17×#95C2311yescharacteristic
328C17×#95C2311yescharacteristic
329#10587502C2311yescharacteristic
330#10587502C2311yescharacteristic
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
382C23×D17C2411yescharacteristic
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—
403C2×D4×C17—41no—
404C22×C4×C17—22no—
405C22×C4×C17—22no—
406C22×C4×C17—41no—
407C22×C4×C17—41no—
408C22×C4×C17—41no—
409C22×C4×C17—41no—
410C22×C4×C17—41no—
411C22×C4×C17—41no—
412C22×C4×C17—41no—
413C22×C4×C17C2411yescharacteristic
414C22×C4×C17C2411yescharacteristic
415C22×C4×C17C2411yescharacteristic
416C22×C4×C17C2411yescharacteristic
417C22×C4×C17C2411yescharacteristic
418C22×C4×C17C2411yescharacteristic
419C22×C4×C17C2411yescharacteristic
420C22×C4×C17C2411yescharacteristic
421C22×C4×C17C2411yescharacteristic
422C22×C4×C17C2411yescharacteristic
423C2×C22⋊D17—22no—
424C2×C22⋊D17—22no—
425C2×C22⋊D17—22no—
426C2×C22⋊D17—22no—
427C2×C22⋊D17—22no—
428C2×C22⋊D17—22no—
429C2×C22⋊D17—22no—
430C2×C22⋊D17—22no—
431C2×C22⋊D17—22no—
432C2×C22⋊D17—22no—
433C2×C22⋊D17—22no—
434C2×C22⋊D17—22no—
435C2×C22⋊D17—41no—
436C2×C22⋊D17—41no—
437C2×C22⋊D17—41no—
438C2×C22⋊D17—41no—
439C2×C22⋊D17—41no—
440C2×C22⋊D17—41no—
441C2×C22⋊D17—41no—
442C2×C22⋊D17—41no—
443C2×C22⋊D17—41no—
444C2×C22⋊D17—41no—
445C2×C22⋊D17—41no—
446C2×C22⋊D17—41no—
447C2×C22⋊D17—41no—
448C2×C22⋊D17—41no—
449C2×C22⋊D17—41no—
450C2×C22⋊D17—41no—
451C2×C22⋊D17—41no—
452C2×C22⋊D17—41no—
453C22×Dic17—22no—
454C22×Dic17—22no—
455C22×Dic17—22no—
456C22×Dic17—22no—
457C22×Dic17—22no—
458C22×Dic17—22no—
459C22×Dic17—22no—
460C22×Dic17—22no—
461C22×Dic17—22no—
462C22×Dic17—22no—
463C22×Dic17—22no—
464C22×Dic17—41no—
465C22×Dic17—41no—
466C22×Dic17—41no—
467C22×Dic17—41no—
468C22×Dic17—41no—
469C22×Dic17—41no—
470C22×Dic17—41no—
471C22×Dic17—41no—
472C22×Dic17—41no—
473C22×Dic17—41no—
474C22×Dic17—41no—
475C22×Dic17—41no—
476C22×Dic17—41no—
477C22×Dic17—41no—
478C22×Dic17—41no—
479C22×Dic17—416no—
480C22×Dic17#4114yes—
481C22×Dic17C2411yescharacteristic
482C22×Dic17C2411yescharacteristic
483C22×Dic17C2411yescharacteristic
484C22×Dic17C2411yescharacteristic
485C22×Dic17C2411yescharacteristic
486C22×Dic17C2411yescharacteristic
487C22×Dic17C2411yescharacteristic
488C22×Dic17C2411yescharacteristic
489C22×Dic17C2411yescharacteristic
490C22×Dic17C2411yescharacteristic
491C22×Dic17C2411yescharacteristic
492C22×Dic17C2411yescharacteristic
493C22×Dic17C2411yescharacteristic
494C22×Dic17C2411yescharacteristic
495C2×D68—41no—
496C2×D68—41no—
497C2×D68—41no—
498C2×C4×D17—41no—
499C2×C4×D17—41no—
500C2×C4×D17—41no—
501C2×C4×D17—41no—
502C2×C4×D17—41no—
503C2×C4×D17—41no—
504C4⋊C4×C17—41no—
505C4⋊C4×C17—41no—
506C4⋊C4×C17—41no—
507C4⋊C4×C17—41no—
508C22⋊C4×C17—22no—
509C22⋊C4×C17—22no—
510C22⋊C4×C17—22no—
511C22⋊C4×C17—22no—
512C22⋊C4×C17—41no—
513C22⋊C4×C17—41no—
514C22⋊C4×C17—41no—
515C22⋊C4×C17—41no—
516C22⋊C4×C17—41no—
517C22⋊C4×C17—41no—
518C22⋊C4×C17—41no—
519C22⋊C4×C17—41no—
520C22⋊C4×C17—41no—
521C22⋊C4×C17—41no—
522C22⋊C4×C17—41no—
523C42×C17—41no—
524C22⋊Dic17—22no—
525C22⋊Dic17—22no—
526C22⋊Dic17—22no—
527C22⋊Dic17—22no—
528C22⋊Dic17—22no—
529C22⋊Dic17—22no—
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—
539C22⋊Dic17—41no—
540C22⋊Dic17—41no—
541C22⋊Dic17—41no—
542C22⋊Dic17—41no—
543C22⋊Dic17—41no—
544C22⋊Dic17—41no—
545#63227—22no—
546#63227—22no—
547#63227—41no—
548#63227—41no—
549#63227—41no—
550#63227—41no—
551#63227—41no—
552#63227—41no—
553#63227—41no—
554#63227—41no—
555#63227—41no—
556#63227—41no—
557#63227—41no—
558#63227—41no—
559#63227—41no—
560#63227—41no—
561C4⋊Dic17—41no—
562C4⋊Dic17—41no—
563C4⋊Dic17—41no—
564C4⋊Dic17—41no—
565#63225—22no—
566#63225—22no—
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—
577#63225—41no—
578#63225—41no—
579C4×Dic17—41no—
580C4×Dic17—41no—
581C4×Dic17—41no—
582#36731—171nomaximal, Sylow
583C23×C17—21no—
584C23×C17—21no—
585C23×C17—21no—
586C23×C17—21no—
587C23×C17—28no—
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—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—44no—
615C23×C17—44no—
616C23×C17—44no—
617C23×C17—44no—
618C23×C17—44no—
619C23×C17—44no—
620C23×C17C2×#4112yes—
621C23×C17H(5,𝔽2)12yes—
622C23×C17H(5,𝔽2)12yes—
623C23×C17H(5,𝔽2)12yes—
624C23×C17H(5,𝔽2)12yes—
625C23×C17C2511yescharacteristic
626C22×D17—21no—
627C22×D17—21no—
628C22×D17—21no—
629C22×D17—21no—
630C22×D17—21no—
631C22×D17—21no—
632C22×D17—21no—
633C22×D17—21no—
634C22×D17—21no—
635C22×D17—21no—
636C22×D17—21no—
637C22×D17—21no—
638C22×D17—21no—
639C22×D17—21no—
640D4×C17—44no—
641D4×C17—44no—
642D4×C17—82no—
643D4×C17—82no—
644D4×C17—82no—
645D4×C17—82no—
646D4×C17—82no—
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—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—82no—
678C2×C4×C17—82no—
679C2×C4×C17—82no—
680C22⋊D17—44no—
681C22⋊D17—44no—
682C22⋊D17—82no—
683C22⋊D17—82no—
684C22⋊D17—82no—
685C22⋊D17—82no—
686C22⋊D17—82no—
687C22⋊D17—82no—
688C22⋊D17—82no—
689C22⋊D17—82no—
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—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—44no—
731C2×Dic17—44no—
732C2×Dic17—44no—
733C2×Dic17—44no—
734C2×Dic17—44no—
735C2×Dic17—44no—
736C2×Dic17—82no—
737C2×Dic17—82no—
738C2×Dic17—82no—
739C2×Dic17C2×#4112yes—
740C2×Dic17C2×#4112yes—
741D68—82no—
742C4×D17—82no—
743C4×D17—82no—
744#2847—171no—
745#2847—171no—
746#2743—171no—
747#2743—171no—
748#2743—171no—
749#2743—171no—
750#2740—171no—
751#2740—171no—
752#2740—171no—
753#2740—171no—
754#2699—171no—
755#2699—171no—
756#2699—171no—
757#2699—171no—
758#2688—171no—
759#2688—171no—
760#2688—171no—
761#2688—171no—
762#2656—171no—
763#2646—171no—
764#2444—171no—
765#2444—171no—
766#2444—171no—
767#2444—171no—
768#2424—171no—
769#2424—171no—
770#2424—171no—
771#2424D1711yescharacteristic, complemented
772#2325—171no—
773#2325—171no—
774C2×#381—171no—
775C22×C17—22no—
776C22×C17—22no—
777C22×C17—22no—
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—416no—
788C22×C17—41no—
789C22×C17—41no—
790C22×C17—41no—
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#54014yes—
811C22×C17C22×#4111yescharacteristic
812C22×C17C2×H(5,𝔽2)11yescharacteristic
813C22×C17C2×H(5,𝔽2)11yescharacteristic
814C22×C17C2×H(5,𝔽2)11yescharacteristic
815C22×C17C2×H(5,𝔽2)11yescharacteristic
816C22×C17#58511yescharacteristic
817C22×C17#58511yescharacteristic
818C2×D17—41no—
819C2×D17—41no—
820C2×D17—41no—
821C2×D17—41no—
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—
832C4×C17—41no—
833C4×C17—41no—
834C4×C17—41no—
835C4×C17—41no—
836C4×C17—41no—
837C4×C17—41no—
838C4×C17—41no—
839C4×C17—41no—
840C4×C17—41no—
841C4×C17—41no—
842Dic17—22no—
843Dic17—22no—
844Dic17—41no—
845Dic17—41no—
846Dic17—41no—
847Dic17—41no—
848Dic17—41no—
849Dic17—41no—
850Dic17—41no—
851Dic17—41no—
852Dic17—41no—
853Dic17—41no—
854Dic17—41no—
855Dic17—41no—
856C24×C4—171no—
857C2×#121—171no—
858C2×#121—171no—
859C2×#121—171no—
860C2×#121—171no—
861C2×#121—171no—
862C2×#121—171no—
863C2×#121—171no—
864C2×#121—171no—
865C2×#121—171no—
866C2×#121—171no—
867C2×#121—171no—
868C2×#121—171no—
869C2×#121C2×D1711yescharacteristic
870C2×#121C2×D1711yescharacteristic
871C2×#120—171no—
872C2×#120—171no—
873C2×#120C2×D1711yescharacteristic
874C2×#120C2×D1711yescharacteristic
875C2×C4×D4—171no—
876C2×C4×D4—171no—
877C2×C4×D4—171no—
878C2×C4×D4C2×D1711yescharacteristic
879C22×C22⋊C4—171no—
880C22×C22⋊C4C2×D1711yescharacteristic
881#400—171no—
882#400—171no—
883#400—171no—
884#400—171no—
885#400—171no—
886#400—171no—
887#400—171no—
888#400—171no—
889#399—171no—
890#399—171no—
891#399—171no—
892#399—171no—
893#398—171no—
894#398—171no—
895#398—171no—
896#398—171no—
897#397—171no—
898#397—171no—
899#397—171no—
900#397—171no—
901#397—171no—
902#397—171no—
903#397—171no—
904#397—171no—
905#396—171no—
906#396—171no—
907#396—171no—
908#396C2×D1711yescharacteristic
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#394C2×D1711yescharacteristic
920#394C2×D1711yescharacteristic
921#392—171no—
922#392—171no—
923#392—171no—
924#392—171no—
925#392—171no—
926#392—171no—
927#392—171no—
928#392C2×D1711yescharacteristic
929#390—171no—
930#390—171no—
931#390—171no—
932#390C2×D1711yescharacteristic
933#388—171no—
934#388—171no—
935#388—171no—
936#388—171no—
937#388—171no—
938#388—171no—
939#388—171no—
940#388—171no—
941#388—171no—
942#388—171no—
943#388—171no—
944#388C2×D1711yescharacteristic
945#387—171no—
946#387—171no—
947#387—171no—
948#387—171no—
949#387—171no—
950#387—171no—
951#387—171no—
952#387—171no—
953#386—171no—
954#386—171no—
955#386—171no—
956#386—171no—
957#386—171no—
958#386—171no—
959#386—171no—
960#386—171no—
961#386—171no—
962#386—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#386—171no—
979#386C2×D1711yescharacteristic
980#386C2×D1711yescharacteristic
981#385—171no—
982#385—171no—
983#385—171no—
984#385—171no—
985#385—171no—
986#385—171no—
987#385—171no—
988#385C2×D1711yescharacteristic
989#381—171no—
990#381—171no—
991#381—171no—
992#381—171no—
993#381—171no—
994#381—171no—
995#381—171no—
996#381—171no—
997#381—171no—
998#381—171no—
999#381—171no—
1000#381—171no—
1001#380—171no—
1002#380—171no—
1003#380—171no—
1004#380—171no—
1005#380—171no—
1006#380—171no—
1007C2×#95—171no—
1008C2×#95—171no—
1009C2×#95—171no—
1010C2×#95—171no—
1011C2×C17—24no—
1012C2×C17—42no—
1013C2×C17—42no—
1014C2×C17—81no—
1015C2×C17—81no—
1016C2×C17C2×#54011yescharacteristic
1017C2×C17#349011yescharacteristic
1018C2×C17#349311yescharacteristic
1019C2×C17#353411yescharacteristic
1020C2×C17#353411yescharacteristic
1021C2×C17#353411yescharacteristic
1022C2×C17#353411yescharacteristic
1023D17—81no—
1024D17—81no—
1025C25C22×D1711yescharacteristic
1026C22×D4—171no—
1027C22×D4—171no—
1028C22×D4—171no—
1029C22×D4—171no—
1030C22×D4—171no—
1031C22×D4—171no—
1032C22×D4—171no—
1033C22×D4—171no—
1034C22×D4—171no—
1035C22×D4—171no—
1036C22×D4—171no—
1037C22×D4C22×D1711yescharacteristic
1038C22×D4C22×D1711yescharacteristic
1039C22×D4C22×D1711yescharacteristic
1040C22×D4C22×D1711yescharacteristic
1041C22×D4C22×D1711yescharacteristic
1042C22×D4C22×D1711yescharacteristic
1043C22×D4C22×D1711yescharacteristic
1044C23×C4—171no—
1045C23×C4—171no—
1046C23×C4—171no—
1047C23×C4—171no—
1048C23×C4—171no—
1049C23×C4—171no—
1050C23×C4—171no—
1051C23×C4—171no—
1052C23×C4—171no—
1053C23×C4—171no—
1054C23×C4—171no—
1055C23×C4—344no—
1056C23×C4—682no—
1057C23×C4—682no—
1058C23×C4C22×D1711yescharacteristic
1059C23×C4C22×D1711yescharacteristic
1060C23×C4C22×D1711yescharacteristic
1061#121—42no—
1062#121—42no—
1063#121—344no—
1064#121—344no—
1065#121—682no—
1066#121—682no—
1067#121—682no—
1068#121—682no—
1069#121—682no—
1070#121—682no—
1071#121—682no—
1072#121—682no—
1073#121—682no—
1074#121—682no—
1075#120—42no—
1076#120—42no—
1077#120—682no—
1078#120—682no—
1079C4×D4—42no—
1080C4×D4—682no—
1081C4×D4—682no—
1082C4×D4—682no—
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⋊C4C22×D1711yescharacteristic
1102C2×C4⋊C4C22×D1711yescharacteristic
1103C2×C4⋊C4C22×D1711yescharacteristic
1104C2×C4⋊C4C22×D1711yescharacteristic
1105C2×C22⋊C4—42no—
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—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—682no—
1144C2×C22⋊C4C22×D1711yescharacteristic
1145C2×C22⋊C4C22×D1711yescharacteristic
1146C2×C22⋊C4C22×D1711yescharacteristic
1147C2×C22⋊C4C22×D1711yescharacteristic
1148C2×C22⋊C4C22×D1711yescharacteristic
1149C2×C22⋊C4C22×D1711yescharacteristic
1150C2×C22⋊C4C22×D1711yescharacteristic
1151C2×C22⋊C4C22×D1711yescharacteristic
1152C2×C22⋊C4C22×D1711yescharacteristic
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×C42—171no—
1160C2×C42—171no—
1161C2×C42—171no—
1162C2×C42C22×D1711yescharacteristic
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#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
1207C17#3673111yescharacteristic, complemented, Sylow
1208C24—22no—
1209C24—22no—
1210C24—22no—
1211C24—22no—
1212C24—22no—
1213C24—41no—
1214C24—41no—
1215C24—171no—
1216C24—171no—
1217C24C23×D1711yescharacteristic
1218C24C23×D1711yescharacteristic
1219C24C23×D1711yescharacteristic
1220C24C23×D1711yescharacteristic
1221C24C23×D1711yescharacteristic
1222C2×D4—22no—
1223C2×D4—22no—
1224C2×D4—22no—
1225C2×D4—22no—
1226C2×D4—22no—
1227C2×D4—22no—
1228C2×D4—22no—
1229C2×D4—22no—
1230C2×D4—22no—
1231C2×D4—22no—
1232C2×D4—41no—
1233C2×D4—41no—
1234C2×D4—41no—
1235C2×D4—41no—
1236C2×D4—41no—
1237C2×D4—41no—
1238C2×D4—41no—
1239C2×D4—41no—
1240C2×D4—41no—
1241C2×D4—41no—
1242C2×D4—41no—
1243C2×D4—342no—
1244C2×D4—342no—
1245C2×D4—342no—
1246C2×D4—342no—
1247C2×D4—342no—
1248C2×D4—342no—
1249C2×D4—342no—
1250C2×D4—342no—
1251C2×D4—342no—
1252C2×D4—342no—
1253C2×D4—342no—
1254C2×D4—342no—
1255C2×D4—681no—
1256C2×D4—681no—
1257C2×D4—681no—
1258C2×D4—681no—
1259C2×D4—681no—
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—
1276C22×C4—22no—
1277C22×C4—22no—
1278C22×C4—41no—
1279C22×C4—41no—
1280C22×C4—41no—
1281C22×C4—41no—
1282C22×C4—41no—
1283C22×C4—41no—
1284C22×C4—41no—
1285C22×C4—171no—
1286C22×C4—171no—
1287C22×C4—174no—
1288C22×C4—171no—
1289C22×C4—171no—
1290C22×C4—171no—
1291C22×C4—171no—
1292C22×C4—171no—
1293C22×C4—171no—
1294C22×C4—171no—
1295C22×C4—171no—
1296C22×C4—171no—
1297C22×C4—171no—
1298C22×C4—171no—
1299C22×C4—171no—
1300C22×C4—342no—
1301C22×C4—342no—
1302C22×C4—342no—
1303C22×C4—342no—
1304C22×C4—342no—
1305C22×C4—342no—
1306C22×C4—342no—
1307C22×C4—342no—
1308C22×C4—342no—
1309C22×C4—342no—
1310C22×C4—342no—
1311C22×C4—681no—
1312C22×C4—681no—
1313C22×C4—681no—
1314C22×C4—681no—
1315C22×C4—681no—
1316C22×C4—681no—
1317C22×C4—681no—
1318C22×C4—681no—
1319C22×C4—681no—
1320C22×C4—681no—
1321C22×C4—681no—
1322C22×C4—681no—
1323C22×C4—681no—
1324C22×C4—681no—
1325C22×C4—681no—
1326C22×C4—681no—
1327C22×C4—681no—
1328C22×C4—681no—
1329C22×C4—681no—
1330C22×C4—681no—
1331C22×C4—681no—
1332C22×C4—6816no—
1333C22×C4C23×D1711yescharacteristic
1334C22×C4C23×D1711yescharacteristic
1335C22×C4C23×D1711yescharacteristic
1336C22×C4C23×D1711yescharacteristic
1337C22×C4C23×D1711yescharacteristic
1338C22×C4C23×D1711yescharacteristic
1339C22×C4C23×D1711yescharacteristic
1340C22×C4C23×D1711yescharacteristic
1341C22×C4C23×D1711yescharacteristic
1342C22×C4C23×D1711yescharacteristic
1343C4⋊C4—41no—
1344C4⋊C4—41no—
1345C4⋊C4—41no—
1346C4⋊C4—41no—
1347C4⋊C4—342no—
1348C4⋊C4—342no—
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—
1362C4⋊C4—681no—
1363C4⋊C4—681no—
1364C4⋊C4—681no—
1365C22⋊C4—22no—
1366C22⋊C4—22no—
1367C22⋊C4—22no—
1368C22⋊C4—22no—
1369C22⋊C4—41no—
1370C22⋊C4—41no—
1371C22⋊C4—41no—
1372C22⋊C4—41no—
1373C22⋊C4—41no—
1374C22⋊C4—41no—
1375C22⋊C4—41no—
1376C22⋊C4—41no—
1377C22⋊C4—41no—
1378C22⋊C4—41no—
1379C22⋊C4—41no—
1380C22⋊C4—342no—
1381C22⋊C4—342no—
1382C22⋊C4—342no—
1383C22⋊C4—342no—
1384C22⋊C4—342no—
1385C22⋊C4—342no—
1386C22⋊C4—342no—
1387C22⋊C4—342no—
1388C22⋊C4—681no—
1389C22⋊C4—681no—
1390C22⋊C4—681no—
1391C22⋊C4—681no—
1392C22⋊C4—681no—
1393C22⋊C4—681no—
1394C22⋊C4—681no—
1395C22⋊C4—681no—
1396C22⋊C4—681no—
1397C22⋊C4—681no—
1398C22⋊C4—681no—
1399C22⋊C4—681no—
1400C22⋊C4—681no—
1401C22⋊C4—681no—
1402C22⋊C4—681no—
1403C22⋊C4—681no—
1404C22⋊C4—681no—
1405C22⋊C4—681no—
1406C22⋊C4—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—
1417C42—41no—
1418C42—681no—
1419C42—681no—
1420C42—681no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—28no—
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—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—44no—
1453C23—44no—
1454C23—44no—
1455C23—44no—
1456C23—44no—
1457C23—44no—
1458C23—341no—
1459C23—341no—
1460C23—341no—
1461C23—341no—
1462C23—341no—
1463C23—341no—
1464C23—341no—
1465C23—341no—
1466C23—341no—
1467C23—341no—
1468C23—341no—
1469C23—341no—
1470C23—341no—
1471C23—341no—
1472C23#1058769112yes—
1473C23#1058769112yes—
1474C23#1058769112yes—
1475C23#41×D1712yes—
1476C23#1058769612yes—
1477C23C24×D1711yescharacteristic
1478D4—44no—
1479D4—44no—
1480D4—82no—
1481D4—82no—
1482D4—82no—
1483D4—82no—
1484D4—82no—
1485D4—684no—
1486D4—684no—
1487D4—1362no—
1488D4—1362no—
1489D4—1362no—
1490D4—1362no—
1491D4—1362no—
1492D4—1362no—
1493D4—1362no—
1494D4—1362no—
1495D4—1362no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
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—82no—
1527C2×C4—82no—
1528C2×C4—82no—
1529C2×C4—172no—
1530C2×C4—172no—
1531C2×C4—341no—
1532C2×C4—341no—
1533C2×C4—341no—
1534C2×C4—341no—
1535C2×C4—341no—
1536C2×C4—341no—
1537C2×C4—341no—
1538C2×C4—341no—
1539C2×C4—341no—
1540C2×C4—341no—
1541C2×C4—341no—
1542C2×C4—341no—
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—684no—
1572C2×C4—684no—
1573C2×C4—684no—
1574C2×C4—684no—
1575C2×C4—684no—
1576C2×C4—684no—
1577C2×C4—1362no—
1578C2×C4—1362no—
1579C2×C4—1362no—
1580C2×C4—1362no—
1581C2×C4—1362no—
1582C22—22no—
1583C22—22no—
1584C22—22no—
1585C22—22no—
1586C22—22no—
1587C22—22no—
1588C22—22no—
1589C22—22no—
1590C22—22no—
1591C22—22no—
1592C22—22no—
1593C22—22no—
1594C22—416no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
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—681no—
1618C22—681no—
1619C22—681no—
1620C22—681no—
1621C22—681no—
1622C22—681no—
1623C22—681no—
1624C22—681no—
1625C22—681no—
1626C22—681no—
1627C22—681no—
1628C22—681no—
1629C22—681no—
1630C22—681no—
1631C22#1176340914yes—
1632C22C2×#41×D1711yescharacteristic
1633C22C2×#1058769111yescharacteristic
1634C22C2×#1058769111yescharacteristic
1635C22C2×#1058769111yescharacteristic
1636C22C2×#1058769611yescharacteristic
1637C22#1176364411yescharacteristic
1638C22#1176364411yescharacteristic
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—41no—
1648C4—41no—
1649C4—342no—
1650C4—342no—
1651C4—681no—
1652C4—681no—
1653C4—681no—
1654C4—681no—
1655C4—681no—
1656C4—681no—
1657C4—681no—
1658C4—681no—
1659C4—681no—
1660C4—681no—
1661C4—681no—
1662C4—681no—
1663C2—24no—
1664C2—42no—
1665C2—42no—
1666C2—81no—
1667C2—81no—
1668C2—1361no—
1669C2—1361no—
1670C2C2×#1176340911yescharacteristic
1671C2#1454246711yescharacteristic
1672C2#1454249911yescharacteristic
1673C2#1454296211yescharacteristic
1674C2#1454296211yescharacteristic
1675C2#1454297011yescharacteristic
1676C2#1454297011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D17
commutator, socle, cosocleC23×C17C25
FittingC17×#2424C2
hypercenter#2424D17
hypocenterC17#36731
LCSG ▷ C23×C17 ▷ C17
UCSC1 ◁ C23 ◁ #2424

Complements

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

NH ≅ G/Ntype
1. #14537064C2semidirect
2. #14537064C2semidirect
3. #14535929C2semidirect
4. #14535925C2semidirect
5. #14535921C2semidirect
6. #14535917C2semidirect
7. #14535890C2semidirect
8. #14535886C2semidirect
9. #14535882C2semidirect
10. #14535878C2semidirect
11. #14535374C2semidirect
12. #14535372C2semidirect
13. #14535369C2semidirect
14. #14535367C2semidirect
15. #14535226C2semidirect
16. #14535222C2semidirect
17. #14535218C2semidirect
18. #14535214C2semidirect
19. #14534888C2semidirect
20. #14534756C2semidirect
21. #14532538C2semidirect
22. #14532536C2semidirect
23. #14532530C2semidirect
24. #14532528C2semidirect
25. #14532324C2semidirect
26. #14532320C2semidirect
27. #14532316C2semidirect
28. #14531485C2semidirect
29. #14531482C2semidirect
30. C2×#11762670C2semidirect
31. C17×#2424C2semidirect
51. #11762751C22semidirect
52. #11762750C22semidirect
53. #11762750C22semidirect
54. #11762750C22semidirect
55. #11762749C22semidirect
56. #11762748C22semidirect
57. #11762747C22semidirect
58. #11762747C22semidirect
59. #11762745C22semidirect
60. #11762745C22semidirect
61. #11762744C22semidirect
62. #11762744C22semidirect
63. #11762743C22semidirect
64. #11762742C22semidirect
65. #11762740C22semidirect
66. #11762739C22semidirect
67. #11762738C22semidirect
68. #11762737C22semidirect
69. #11762737C22semidirect
70. #11762737C22semidirect
71. #11762736C22semidirect
72. #11762735C22semidirect
73. #11762735C22semidirect
74. #11762734C22semidirect
78. #11762726C22semidirect
81. #11762725C22semidirect
84. #11762724C22semidirect
87. #11762723C22semidirect
89. #11762718C22semidirect
90. #11762718C22semidirect
93. #11762717C22semidirect
94. #11762717C22semidirect
99. #11762703C22semidirect
101. #11762702C22semidirect
102. #11762700C22semidirect
103. #11762700C22semidirect
104. #11762699C22semidirect
105. #11762698C22semidirect
107. #11762697C22semidirect
108. #11762697C22semidirect
109. #11762696C22semidirect
110. #11762695C22semidirect
111. #11762693C22semidirect
112. #11762693C22semidirect
113. #11762692C22semidirect
114. #11762691C22semidirect
115. #11762690C22semidirect
116. #11762690C22semidirect
125. #11762689C22semidirect
127. #11762688C22semidirect
128. #11762688C22semidirect
129. #11762687C22semidirect
137. #11762686C22semidirect
140. #11762685C22semidirect
141. #11762685C22semidirect
142. #11762685C22semidirect
144. #11762683C22semidirect
146. #11762682C22semidirect
148. #11762681C22semidirect
149. #11762680C22semidirect
150. #11762672C22semidirect
151. #11762671C22semidirect
152. #11762671C22semidirect
161. #11762670C22semidirect
771. #2424D17semidirect
1207. C17#36731semidirect

Maximal subgroups

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

subgroupindex
#145370642
#145359292
#145359252
#145359212
#145359172
#145358902
#145358862
#145358822
#145358782
#145353742
#145353722
#145353692
#145353672
#145352262
#145352222
#145352182
#145352142
#145348882
#145347562
#145325382
#145325362
#145325302
#145325282
#145323242
#145323202
#145323162
#145314852
#145314822
C2×#117626702
C17×#24242
#3673117