Finite Group Databasebeta

← #17243123

Subgroups — #17243123

Order 4352.

2142 conjugacy classes of subgroups.

The subgroup lattice has 1628 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#14537075C211yesmaximal, characteristic, complemented
2#14537067C211yesmaximal, characteristic, complemented
3#14536725C211yesmaximal, characteristic, complemented
4#14536635C211yesmaximal, characteristic, complemented
5#14536526C211yesmaximal, characteristic, complemented
6#14536434C211yesmaximal, characteristic, complemented
7#14536402C211yesmaximal, characteristic, complemented
8#14536030C211yesmaximal, characteristic, complemented
9#14536019C211yesmaximal, characteristic, complemented
10#14535948C211yesmaximal, characteristic, complemented
11#14535583C211yesmaximal, characteristic, complemented
12#14535519C211yesmaximal, characteristic, complemented
13#14535503C211yesmaximal, characteristic, complemented
14#14535499C211yesmaximal, characteristic, complemented
15#14535317C211yesmaximal, characteristic, complemented
16#14535197C211yesmaximal, characteristic, complemented
17#14535144C211yesmaximal, characteristic, complemented
18#14534738C211yesmaximal, characteristic, complemented
19#14534713C211yesmaximal, characteristic, complemented
20#14533046C211yesmaximal, characteristic, complemented
21#14532913C211yesmaximal, characteristic, complemented
22#14532524C211yesmaximal, characteristic, complemented
23#14532453C211yesmaximal, characteristic, complemented
24#14532393C211yesmaximal, characteristic, complemented
25#14532327C211yesmaximal, characteristic, complemented
26#14532164C211yesmaximal, characteristic, complemented
27#14532101C211yesmaximal, characteristic, complemented
28#14531457C211yesmaximal, characteristic, complemented
29#14531373C211yesmaximal, characteristic, complemented
30D17×#385C211yesmaximal, characteristic, complemented
31C17×#2784C211yesmaximal, characteristic, complemented
32C22×#63252C2211yescharacteristic
33C23×C4×D17C2211yescharacteristic
34C2×#10587565C2211yescharacteristic, complemented
35C2×#10587633C2211yescharacteristic
36C2×#10587580C2211yescharacteristic
37C2×#10587580C2211yescharacteristic, complemented
38C2×#10587569C2211yescharacteristic
39C2×#10587569C2211yescharacteristic
40C2×#10587632C2211yescharacteristic
41C2×#10587581C2211yescharacteristic
42C2×#10587581C2211yescharacteristic
43C2×#10587616C2211yescharacteristic
44C2×#10587570C2211yescharacteristic
45C2×#10587570C2211yescharacteristic
46C2×#10587568C2211yescharacteristic
47C2×#10587568C2211yescharacteristic
48C2×#10587623C2211yescharacteristic
49C2×C4×D68C2211yescharacteristic
50C2×#10587578C2211yescharacteristic
51C2×C4⋊C4×D17C2211yescharacteristic
52C2×C4⋊C4×D17C2211yescharacteristic
53C2×C22⋊C4×D17C2211yescharacteristic
54C2×C22⋊C4×D17C2211yescharacteristic
55C17⋊#401C2211yescharacteristic, complemented
56#11762751C2211yescharacteristic, complemented
57#11762750C2211yescharacteristic, complemented
58#11762750C2211yescharacteristic, complemented
59#11762750C2211yescharacteristic, complemented
60#11762750C2211yescharacteristic, complemented
61#11762749C2211yescharacteristic, complemented
62#11762748C2211yescharacteristic, complemented
63#11762746C2211yescharacteristic, complemented
64#11762742C2211yescharacteristic, complemented
65#11762741C2211yescharacteristic, complemented
66#11762739C2211yescharacteristic, complemented
67#11762738C2211yescharacteristic
68#11762738C2211yescharacteristic, complemented
69#11762738C2211yescharacteristic, complemented
70#11762737C2211yescharacteristic, complemented
71#11762736C2211yescharacteristic, complemented
72#11762736C2211yescharacteristic, complemented
73#11762735C2211yescharacteristic, complemented
74#11762734C2211yescharacteristic, complemented
75#11762732C2211yescharacteristic
76#11762731C2211yescharacteristic
77#11762731C2211yescharacteristic, complemented
78#11762729C2211yescharacteristic, complemented
79#11762727C2211yescharacteristic
80#11762727C2211yescharacteristic, complemented
81#11762726C2211yescharacteristic
82#11762726C2211yescharacteristic
83#11762725C2211yescharacteristic
84#11762725C2211yescharacteristic
85#11762725C2211yescharacteristic
86#11762724C2211yescharacteristic, complemented
87#11762724C2211yescharacteristic, complemented
88#11762724C2211yescharacteristic, complemented
89#11762722C2211yescharacteristic
90#11762722C2211yescharacteristic, complemented
91#11762721C2211yescharacteristic
92#11762720C2211yescharacteristic, complemented
93#11762718C2211yescharacteristic
94#11762718C2211yescharacteristic, complemented
95#11762717C2211yescharacteristic
96#11762717C2211yescharacteristic
97#11762716C2211yescharacteristic, complemented
98#11762713C2211yescharacteristic, complemented
99#11762713C2211yescharacteristic, complemented
100#11762710C2211yescharacteristic
101#11762709C2211yescharacteristic
102#11762709C2211yescharacteristic
103#11762709C2211yescharacteristic, complemented
104#11762709C2211yescharacteristic, complemented
105#11762708C2211yescharacteristic, complemented
106#11762706C2211yescharacteristic, complemented
107#11762704C2211yescharacteristic, complemented
108#11762703C2211yescharacteristic
109#11762702C2211yescharacteristic, complemented
110#11762701C2211yescharacteristic
111#11762701C2211yescharacteristic, complemented
112#11762700C2211yescharacteristic
113#11762700C2211yescharacteristic, complemented
114#11762698C2211yescharacteristic
115#11762698C2211yescharacteristic, complemented
116#11762697C2211yescharacteristic
117#11762695C2211yescharacteristic, complemented
118#11762695C2211yescharacteristic, complemented
119#11762694C2211yescharacteristic, complemented
120#11762693C2211yescharacteristic, complemented
121#11762690C2211yescharacteristic, complemented
122#11762689C2211yescharacteristic
123#11762688C2211yescharacteristic
124#11762688C2211yescharacteristic, complemented
125#11762687C2211yescharacteristic
126#11762687C2211yescharacteristic
127#11762687C2211yescharacteristic
128#11762687C2211yescharacteristic
129#11762687C2211yescharacteristic
130#11762687C2211yescharacteristic
131#11762687C2211yescharacteristic
132#11762687C2211yescharacteristic
133#11762687C2211yescharacteristic
134#11762687C2211yescharacteristic, complemented
135#11762686C2211yescharacteristic
136#11762686C2211yescharacteristic
137#11762685C2211yescharacteristic
138#11762685C2211yescharacteristic
139#11762685C2211yescharacteristic
140#11762685C2211yescharacteristic
141#11762685C2211yescharacteristic
142#11762685C2211yescharacteristic
143#11762684C2211yescharacteristic
144#11762684C2211yescharacteristic
145#11762683C2211yescharacteristic
146#11762683C2211yescharacteristic
147#11762683C2211yescharacteristic
148#11762683C2211yescharacteristic
149#11762683C2211yescharacteristic, complemented
150#11762683C2211yescharacteristic, complemented
151#11762682C2211yescharacteristic
152#11762682C2211yescharacteristic
153#11762681C2211yescharacteristic
154#11762680C2211yescharacteristic
155#11762680C2211yescharacteristic
156#11762680C2211yescharacteristic
157#11762680C2211yescharacteristic
158#11762680C2211yescharacteristic, complemented
159#11762680C2211yescharacteristic, complemented
160#11762671C2211yescharacteristic
161#11762671C2211yescharacteristic
162#11762671C2211yescharacteristic
163#11762669C2211yescharacteristic, complemented
164#11762666C2211yescharacteristic
165#11762666C2211yescharacteristic
166#11762666C2211yescharacteristic, complemented
167#11762666C2211yescharacteristic, complemented
168#11762664C2211yescharacteristic
169#11762656C2211yescharacteristic
170#95×D17C2211yescharacteristic
171#95×D17C2211yescharacteristic
172C17×#400C2211yescharacteristic, complemented
173C17×#396C2211yescharacteristic
174C17×#396C2211yescharacteristic, complemented
175C17×#395C2211yescharacteristic, complemented
176C17×#393C2211yescharacteristic
177C17×#393C2211yescharacteristic, complemented
178C17×#390C2211yescharacteristic
179C17×#387C2211yescharacteristic, complemented
180C17×#387C2211yescharacteristic, complemented
181C17×#386C2211yescharacteristic
182C17×#386C2211yescharacteristic
183C17×#385C2211yescharacteristic
184C17×#385C2211yescharacteristic, complemented
185C17×#380C2211yescharacteristic
186C17×#380C2211yescharacteristic, complemented
187C24×D17C2311yescharacteristic
188C22×Q8×C17C2311yescharacteristic
189C22×D4×C17C2311yescharacteristic
190C23×C4×C17C2311yescharacteristic
191C23×C4×C17C2311yescharacteristic
192C22×C22⋊D17C2311yescharacteristic
193C22×C22⋊D17C2311yescharacteristic
194C22×C22⋊D17C2311yescharacteristic
195C22×C22⋊D17C2311yescharacteristic
196C22×C22⋊D17C2311yescharacteristic
197C22×C22⋊D17C2311yescharacteristic
198C23×Dic17C2311yescharacteristic
199C2×#63252—24no—
200C2×#63252—42no—
201C2×#63252—42no—
202C22×D68C2311yescharacteristic
203C22×D68C2311yescharacteristic
204C22×D68C2311yescharacteristic
205C22×D68C2311yescharacteristic
206C22×D68C2311yescharacteristic
207C22×C4×D17—42no—
208C22×C4×D17—42no—
209C22×C4×D17—42no—
210C22×C4×D17C2311yescharacteristic
211C22×C4×D17C2311yescharacteristic
212C22×C4×D17C2311yescharacteristic
213C22×C4×D17C2311yescharacteristic
214C22×C4×D17C2311yescharacteristic
215C22×C4×D17C2311yescharacteristic
216C22×C4×D17C2311yescharacteristic
217C22×C4×D17C2311yescharacteristic
218C22×C4×D17C2311yescharacteristic
219C22×C4×D17C2311yescharacteristic
220C22×Dic34C2311yescharacteristic
221C2×C4⋊C4×C17C2311yescharacteristic
222C2×C4⋊C4×C17C2311yescharacteristic
223C2×C4⋊C4×C17C2311yescharacteristic
224C2×C4⋊C4×C17C2311yescharacteristic
225C2×C4⋊C4×C17C2311yescharacteristic
226C2×C4⋊C4×C17C2311yescharacteristic
227C2×C4⋊C4×C17C2311yescharacteristic
228C2×C4⋊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×C42×C17C2311yescharacteristic
240C2×C22⋊Dic17C2311yescharacteristic
241C2×C22⋊Dic17C2311yescharacteristic
242C2×C22⋊Dic17C2311yescharacteristic
243C2×C22⋊Dic17C2311yescharacteristic
244C2×C22⋊Dic17C2311yescharacteristic
245C2×C22⋊Dic17C2311yescharacteristic
246C2×C22⋊Dic17C2311yescharacteristic
247C2×C22⋊Dic17C2311yescharacteristic
248#10587633—42no—
249#10587632—42no—
250#10587623—42no—
251#10587616—42no—
252C2×#63227C2311yescharacteristic
253C2×#63227C2311yescharacteristic
254C2×#63227C2311yescharacteristic
255C2×#63227C2311yescharacteristic
256C2×#63227C2311yescharacteristic
257C2×#63227C2311yescharacteristic
258C2×#63227C2311yescharacteristic
259C2×#63227C2311yescharacteristic
260C2×#63227C2311yescharacteristic
261C2×#63227C2311yescharacteristic
262C2×#63227C2311yescharacteristic
263C2×#63227C2311yescharacteristic
264C2×#63227C2311yescharacteristic
265C2×#63227C2311yescharacteristic
266C2×#63227C2311yescharacteristic
267C2×#63227C2311yescharacteristic
268C2×#63227C2311yescharacteristic
269C2×#63227C2311yescharacteristic
270C2×#63227C2311yescharacteristic
271C2×#63227C2311yescharacteristic
272C2×#63227C2311yescharacteristic
273C2×#63227C2311yescharacteristic
274C2×#63227C2311yescharacteristic
275C2×#63227C2311yescharacteristic
276C2×#63227C2311yescharacteristic
277C2×#63227C2311yescharacteristic
278C2×#63227C2311yescharacteristic
279C2×#63227C2311yescharacteristic
280C2×#63227C2311yescharacteristic
281C2×#63227C2311yescharacteristic
282C2×#63227C2311yescharacteristic
283C2×#63227C2311yescharacteristic
284C2×C4⋊Dic17C2311yescharacteristic
285C2×C4⋊Dic17C2311yescharacteristic
286C2×C4⋊Dic17C2311yescharacteristic
287C2×C4⋊Dic17C2311yescharacteristic
288C2×C4⋊Dic17C2311yescharacteristic
289C2×C4⋊Dic17C2311yescharacteristic
290C2×C4⋊Dic17C2311yescharacteristic
291C2×C4⋊Dic17C2311yescharacteristic
292C2×#63225C2311yescharacteristic
293C2×#63225C2311yescharacteristic
294C2×#63225C2311yescharacteristic
295C2×#63225C2311yescharacteristic
296C2×#63225C2311yescharacteristic
297C2×#63225C2311yescharacteristic
298C2×#63225C2311yescharacteristic
299C2×#63225C2311yescharacteristic
300C2×#63225C2311yescharacteristic
301C2×#63225C2311yescharacteristic
302C2×#63225C2311yescharacteristic
303C2×#63225C2311yescharacteristic
304C2×C4×Dic17C2311yescharacteristic
305C2×C4×Dic17C2311yescharacteristic
306C2×C4×Dic17C2311yescharacteristic
307C2×C4×Dic17C2311yescharacteristic
308#10587581—42no—
309#10587581—42no—
310#10587580—24no—
311#10587580—42no—
312#10587578—42no—
313C4⋊C4×D17—42no—
314C4⋊C4×D17—42no—
315#10587570—42no—
316#10587570—42no—
317#10587569—42no—
318#10587569—42no—
319#10587568—42no—
320#10587568—42no—
321C22⋊C4×D17—24no—
322C22⋊C4×D17—42no—
323#10587565—42no—
324C4×D68—42no—
325C17×#95C2311yescharacteristic
326C17×#95C2311yescharacteristic
327C17×#95C2311yescharacteristic
328C17×#95C2311yescharacteristic
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×C17C2411yescharacteristic
370C24×C17C2411yescharacteristic
371C23×D17—22no—
372C23×D17—22no—
373C23×D17—22no—
374C23×D17—22no—
375C23×D17—22no—
376C23×D17—41no—
377C23×D17—41no—
378C23×D17C2411yescharacteristic
379C23×D17C2411yescharacteristic
380C23×D17C2411yescharacteristic
381C23×D17C2411yescharacteristic
382C2×Q8×C17—41no—
383C2×Q8×C17—41no—
384C2×Q8×C17—41no—
385C2×D4×C17—22no—
386C2×D4×C17—41no—
387C2×D4×C17—41no—
388C22×C4×C17—22no—
389C22×C4×C17—22no—
390C22×C4×C17—41no—
391C22×C4×C17—41no—
392C22×C4×C17—41no—
393C22×C4×C17—41no—
394C22×C4×C17C2411yescharacteristic
395C22×C4×C17C2411yescharacteristic
396C22×C4×C17C2411yescharacteristic
397C22×C4×C17C2411yescharacteristic
398C22×C4×C17C2411yescharacteristic
399C22×C4×C17C2411yescharacteristic
400C22×C4×C17C2411yescharacteristic
401C22×C4×C17C2411yescharacteristic
402C22×C4×C17C2411yescharacteristic
403C22×C4×C17C2411yescharacteristic
404C22×C4×C17C2411yescharacteristic
405C22×C4×C17C2411yescharacteristic
406C22×C4×C17C2411yescharacteristic
407C2×C22⋊D17—22no—
408C2×C22⋊D17—22no—
409C2×C22⋊D17—22no—
410C2×C22⋊D17—22no—
411C2×C22⋊D17—22no—
412C2×C22⋊D17—22no—
413C2×C22⋊D17—22no—
414C2×C22⋊D17—41no—
415C2×C22⋊D17—41no—
416C2×C22⋊D17—41no—
417C2×C22⋊D17—41no—
418C2×C22⋊D17—41no—
419C2×C22⋊D17—41no—
420C2×C22⋊D17—41no—
421C2×C22⋊D17—41no—
422C2×C22⋊D17—41no—
423C2×C22⋊D17—41no—
424C2×C22⋊D17—41no—
425C22×Dic17—41no—
426C22×Dic17—41no—
427C22×Dic17—41no—
428C22×Dic17C2411yescharacteristic
429C22×Dic17C2411yescharacteristic
430C22×Dic17C2411yescharacteristic
431C22×Dic17C2411yescharacteristic
432C22×Dic17C2411yescharacteristic
433C22×Dic17C2411yescharacteristic
434C22×Dic17C2411yescharacteristic
435C22×Dic17C2411yescharacteristic
436C22×Dic17C2411yescharacteristic
437C22×Dic17C2411yescharacteristic
438C22×Dic17C2411yescharacteristic
439C22×Dic17C2411yescharacteristic
440#63252—416no—
441C2×D68—22no—
442C2×D68—22no—
443C2×D68—22no—
444C2×D68—22no—
445C2×D68—22no—
446C2×D68—22no—
447C2×D68—22no—
448C2×D68—22no—
449C2×D68—22no—
450C2×D68—41no—
451C2×D68—41no—
452C2×D68—41no—
453C2×D68—41no—
454C2×D68—41no—
455C2×D68—41no—
456C2×C4×D17—22no—
457C2×C4×D17—22no—
458C2×C4×D17—22no—
459C2×C4×D17—22no—
460C2×C4×D17—22no—
461C2×C4×D17—22no—
462C2×C4×D17—22no—
463C2×C4×D17—22no—
464C2×C4×D17—22no—
465C2×C4×D17—22no—
466C2×C4×D17—22no—
467C2×C4×D17—22no—
468C2×C4×D17—41no—
469C2×C4×D17—41no—
470C2×C4×D17—41no—
471C2×C4×D17—41no—
472C2×C4×D17—41no—
473C2×C4×D17—41no—
474C2×C4×D17—41no—
475C2×C4×D17—41no—
476C2×C4×D17—41no—
477C2×C4×D17—41no—
478C2×C4×D17—416no—
479C2×C4×D17—41no—
480C2×C4×D17—41no—
481C2×C4×D17—41no—
482C2×C4×D17—41no—
483C2×C4×D17—41no—
484C2×C4×D17—41no—
485C2×C4×D17—41no—
486C2×C4×D17#4114yes—
487C2×Dic34—22no—
488C2×Dic34—41no—
489C2×Dic34—41no—
490C4⋊C4×C17—22no—
491C4⋊C4×C17—22no—
492C4⋊C4×C17—41no—
493C4⋊C4×C17—41no—
494C4⋊C4×C17—41no—
495C4⋊C4×C17—41no—
496C4⋊C4×C17—41no—
497C4⋊C4×C17—41no—
498C22⋊C4×C17—22no—
499C22⋊C4×C17—22no—
500C22⋊C4×C17—41no—
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—
508C42×C17—41no—
509C22⋊Dic17—22no—
510C22⋊Dic17—22no—
511C22⋊Dic17—41no—
512C22⋊Dic17—41no—
513C22⋊Dic17—41no—
514C22⋊Dic17—41no—
515C22⋊Dic17—41no—
516C22⋊Dic17—41no—
517#63227—22no—
518#63227—22no—
519#63227—22no—
520#63227—22no—
521#63227—22no—
522#63227—22no—
523#63227—22no—
524#63227—22no—
525#63227—22no—
526#63227—22no—
527#63227—22no—
528#63227—22no—
529#63227—41no—
530#63227—41no—
531#63227—41no—
532#63227—41no—
533#63227—41no—
534#63227—41no—
535#63227—41no—
536#63227—41no—
537#63227—41no—
538#63227—41no—
539#63227—41no—
540#63227—41no—
541#63227—41no—
542#63227—41no—
543#63227—41no—
544#63227—41no—
545#63227—41no—
546#63227—41no—
547#63227—41no—
548#63227—41no—
549C4⋊Dic17—22no—
550C4⋊Dic17—41no—
551C4⋊Dic17—41no—
552C4⋊Dic17—41no—
553C4⋊Dic17—41no—
554C4⋊Dic17—41no—
555C4⋊Dic17—41no—
556C4⋊Dic17—41no—
557#63225—22no—
558#63225—22no—
559#63225—22no—
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—41no—
570C4×Dic17—41no—
571C4×Dic17—41no—
572C4×Dic17—41no—
573#36791—171nomaximal, Sylow
574C23×C17—21no—
575C23×C17—21no—
576C23×C17—21no—
577C23×C17—21no—
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×C172−1+412yes—
588C23×C17C2511yescharacteristic
589C22×D17—21no—
590C22×D17—21no—
591C22×D17—21no—
592C22×D17—21no—
593C22×D17—28no—
594C22×D17—21no—
595C22×D17—21no—
596C22×D17—21no—
597C22×D17—21no—
598C22×D17—21no—
599C22×D17—21no—
600C22×D17—21no—
601C22×D17—21no—
602C22×D17—21no—
603C22×D17—21no—
604C22×D17—21no—
605C22×D17—21no—
606C22×D17—21no—
607C22×D17—21no—
608C22×D17—21no—
609C22×D17—21no—
610C22×D17—21no—
611C22×D17—21no—
612C22×D17—21no—
613C22×D17—21no—
614C22×D17—44no—
615C22×D17—44no—
616C22×D17—44no—
617C22×D17—44no—
618C22×D17—44no—
619C22×D17—44no—
620C22×D17C2×#4112yes—
621C22×D17H(5,𝔽2)12yes—
622C22×D17H(5,𝔽2)12yes—
623C22×D17H(5,𝔽2)12yes—
624Q8×C17—82no—
625D4×C17—82no—
626C2×C4×C17—21no—
627C2×C4×C17—21no—
628C2×C4×C17—21no—
629C2×C4×C17—21no—
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—21no—
659C2×C4×C17—21no—
660C2×C4×C17—21no—
661C2×C4×C17—21no—
662C2×C4×C17—21no—
663C2×C4×C17—44no—
664C2×C4×C17—44no—
665C2×C4×C17C2×#4112yes—
666C2×C4×C17H(5,𝔽2)12yes—
667C22⋊D17—44no—
668C22⋊D17—44no—
669C22⋊D17—82no—
670C22⋊D17—82no—
671C22⋊D17—82no—
672C22⋊D17—82no—
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—44no—
709C2×Dic17C2×#4112yes—
710D68—44no—
711D68—44no—
712D68—82no—
713D68—82no—
714D68—82no—
715C4×D17—28no—
716C4×D17—44no—
717C4×D17—44no—
718C4×D17—44no—
719C4×D17—44no—
720C4×D17—44no—
721C4×D17—44no—
722C4×D17—82no—
723C4×D17—82no—
724C4×D17—82no—
725Dic34—44no—
726#2849—171no—
727#2847—171no—
728#2804—171no—
729#2797—171no—
730#2788—171no—
731#2784D1711yescharacteristic, complemented
732#2780—171no—
733#2778—171no—
734#2751—171no—
735#2750—171no—
736#2745—171no—
737#2714—171no—
738#2710—171no—
739#2708—171no—
740#2708—171no—
741#2695—171no—
742#2686—171no—
743#2682—171no—
744#2643—171no—
745#2639—171no—
746#2481—171no—
747#2472—171no—
748#2443—171no—
749#2438—171no—
750#2430—171no—
751#2424—171no—
752#2411—171no—
753#2404—171no—
754#2322—171no—
755#2311—171no—
756C2×#385—171no—
757C22×C17—22no—
758C22×C17—22no—
759C22×C17—22no—
760C22×C17—41no—
761C22×C17—41no—
762C22×C17—41no—
763C22×C17—41no—
764C22×C17—41no—
765C22×C17—41no—
766C22×C17—41no—
767C22×C17—41no—
768C22×C17—41no—
769C22×C17—41no—
770C22×C17—41no—
771C22×C17C22×#4111yescharacteristic
772C22×C17C2×H(5,𝔽2)11yescharacteristic
773C22×C17C2×H(5,𝔽2)11yescharacteristic
774C22×C17C2×H(5,𝔽2)11yescharacteristic
775C22×C17C2×H(5,𝔽2)11yescharacteristic
776C22×C17C2×2−1+411yescharacteristic
777C22×C17#58511yescharacteristic
778C2×D17—22no—
779C2×D17—22no—
780C2×D17—22no—
781C2×D17—22no—
782C2×D17—22no—
783C2×D17—22no—
784C2×D17—22no—
785C2×D17—22no—
786C2×D17—22no—
787C2×D17—416no—
788C2×D17—41no—
789C2×D17—41no—
790C2×D17—41no—
791C2×D17—41no—
792C2×D17—41no—
793C2×D17—41no—
794C2×D17—41no—
795C2×D17—41no—
796C2×D17—41no—
797C2×D17—41no—
798C2×D17—41no—
799C2×D17—41no—
800C2×D17—41no—
801C2×D17—41no—
802C2×D17—41no—
803C2×D17—41no—
804C2×D17—41no—
805C2×D17—41no—
806C2×D17#53814yes—
807C4×C17—22no—
808C4×C17—22no—
809C4×C17—41no—
810C4×C17—41no—
811C4×C17—41no—
812C4×C17—41no—
813C4×C17—41no—
814C4×C17—41no—
815C4×C17—41no—
816C4×C17—41no—
817C4×C17—41no—
818C4×C17—41no—
819C4×C17—41no—
820Dic17—22no—
821Dic17—41no—
822Dic17—41no—
823Dic17—41no—
824Dic17—41no—
825Dic17—41no—
826Dic17—41no—
827Dic17—41no—
828Dic17—41no—
829Dic17—41no—
830Dic17—41no—
831Dic17—41no—
832C22×#41—171no—
833C24×C4—171no—
834C2×#126—171no—
835C2×#124—171no—
836C2×#123—171no—
837C2×#123—171no—
838C2×#123—171no—
839C2×#123—171no—
840C2×C22⋊Q8—171no—
841C2×#121—171no—
842C2×#121—171no—
843C2×#121—171no—
844C2×#121—171no—
845C2×#121—171no—
846C2×#120—171no—
847C2×#120—171no—
848C2×#120—171no—
849C2×C4×D4—171no—
850C2×#117—171no—
851C22×C4⋊C4—171no—
852C22×C4⋊C4—171no—
853C22×C22⋊C4—171no—
854C22×C22⋊C4—171no—
855#401—171no—
856#400—171no—
857#400—171no—
858#400—171no—
859#400—171no—
860#400—171no—
861#400—171no—
862#400—171no—
863#400C2×D1711yescharacteristic, complemented
864#399—171no—
865#398—171no—
866#398—171no—
867#398—171no—
868#397—171no—
869#397—171no—
870#397—171no—
871#397—171no—
872#397—171no—
873#397—171no—
874#397—171no—
875#397—171no—
876#396—171no—
877#396—171no—
878#396—171no—
879#396C2×D1711yescharacteristic
880#396C2×D1711yescharacteristic, complemented
881#395—171no—
882#395C2×D1711yescharacteristic, complemented
883#394—171no—
884#394—171no—
885#394—171no—
886#394—171no—
887#394—171no—
888#394—171no—
889#394—171no—
890#394—171no—
891#394—171no—
892#394—171no—
893#393—171no—
894#393—171no—
895#393—171no—
896#393—171no—
897#393C2×D1711yescharacteristic
898#393C2×D1711yescharacteristic, complemented
899#392—171no—
900#392—171no—
901#392—171no—
902#392—171no—
903#391—171no—
904#391—171no—
905#391—171no—
906#390—171no—
907#390—171no—
908#390—171no—
909#390—171no—
910#390—171no—
911#390C2×D1711yescharacteristic
912#389—171no—
913#389—171no—
914#389—171no—
915#388—171no—
916#388—171no—
917#388—171no—
918#388—171no—
919#388—171no—
920#388—171no—
921#388—171no—
922#388—171no—
923#388—171no—
924#387—171no—
925#387—171no—
926#387—171no—
927#387—171no—
928#387—171no—
929#387C2×D1711yescharacteristic, complemented
930#387C2×D1711yescharacteristic, complemented
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#386—171no—
948#386—171no—
949#386—171no—
950#386—171no—
951#386—171no—
952#386C2×D1711yescharacteristic
953#386C2×D1711yescharacteristic
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#385—171no—
965#385—171no—
966#385—171no—
967#385—171no—
968#385—171no—
969#385—171no—
970#385—171no—
971#385C2×D1711yescharacteristic
972#385C2×D1711yescharacteristic, complemented
973#381—171no—
974#381—171no—
975#381—171no—
976#380—171no—
977#380—171no—
978#380—171no—
979#380—171no—
980#380—171no—
981#380C2×D1711yescharacteristic
982#380C2×D1711yescharacteristic, complemented
983#379—171no—
984C4×C22⋊C4—171no—
985C2×#95—171no—
986C2×#95—171no—
987C2×C17—42no—
988C2×C17—81no—
989C2×C17C2×#53811yescharacteristic
990C2×C17#349211yescharacteristic
991C2×C17#350611yescharacteristic
992C2×C17#353211yescharacteristic
993C2×C17#353411yescharacteristic
994C2×C17#353511yescharacteristic
995C2×C17#353611yescharacteristic
996D17—24no—
997D17—42no—
998D17—81no—
999D17—81no—
1000C25—171no—
1001C2×#41—344no—
1002C2×#41—682no—
1003C2×#41—682no—
1004C22×Q8—171no—
1005C22×Q8C22×D1711yescharacteristic
1006C22×D4—171no—
1007C22×D4—171no—
1008C22×D4—171no—
1009C22×D4—171no—
1010C22×D4—171no—
1011C22×D4—171no—
1012C22×D4—171no—
1013C22×D4—171no—
1014C22×D4—171no—
1015C22×D4—171no—
1016C22×D4—171no—
1017C22×D4C22×D1711yescharacteristic
1018C23×C4—171no—
1019C23×C4—171no—
1020C23×C4—171no—
1021C23×C4—171no—
1022C23×C4—171no—
1023C23×C4—171no—
1024C23×C4—171no—
1025C23×C4—171no—
1026C23×C4—171no—
1027C23×C4—171no—
1028C23×C4—171no—
1029C23×C4—682no—
1030C23×C4—682no—
1031C23×C4—682no—
1032C23×C4C22×D1711yescharacteristic
1033C23×C4C22×D1711yescharacteristic
1034#126—682no—
1035#124—682no—
1036#123—344no—
1037#123—682no—
1038#123—682no—
1039#123—682no—
1040C22⋊Q8—682no—
1041#121—682no—
1042#121—682no—
1043#121—682no—
1044#121—682no—
1045#121—682no—
1046#120—682no—
1047#120—682no—
1048#120—682no—
1049C4×D4—682no—
1050#117—682no—
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—682no—
1072C2×C4⋊C4—682no—
1073C2×C4⋊C4C22×D1711yescharacteristic
1074C2×C4⋊C4C22×D1711yescharacteristic
1075C2×C4⋊C4C22×D1711yescharacteristic
1076C2×C4⋊C4C22×D1711yescharacteristic
1077C2×C4⋊C4C22×D1711yescharacteristic
1078C2×C4⋊C4C22×D1711yescharacteristic
1079C2×C4⋊C4C22×D1711yescharacteristic
1080C2×C4⋊C4C22×D1711yescharacteristic
1081C2×C22⋊C4—171no—
1082C2×C22⋊C4—171no—
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—171no—
1118C2×C22⋊C4—171no—
1119C2×C22⋊C4—171no—
1120C2×C22⋊C4—171no—
1121C2×C22⋊C4—344no—
1122C2×C22⋊C4—682no—
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×C42—171no—
1134C2×C42—171no—
1135C2×C42—171no—
1136C2×C42—171no—
1137C2×C42C22×D1711yescharacteristic
1138#95—171no—
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#95C22×D1711yescharacteristic
1171#95C22×D1711yescharacteristic
1172#95C22×D1711yescharacteristic
1173#95C22×D1711yescharacteristic
1174#95C22×D1711yescharacteristic
1175#95C22×D1711yescharacteristic
1176#95C22×D1711yescharacteristic
1177#95C22×D1711yescharacteristic
1178#95C22×D1711yescharacteristic
1179#95C22×D1711yescharacteristic
1180#95C22×D1711yescharacteristic
1181#95C22×D1711yescharacteristic
1182C17#3679111yescharacteristic, complemented, Sylow
1183C24—171no—
1184C24—171no—
1185C24—171no—
1186C24—171no—
1187C24—342no—
1188C24—342no—
1189C24—342no—
1190C24—342no—
1191C24—342no—
1192C24—681no—
1193C24—681no—
1194C24C23×D1711yescharacteristic
1195C24C23×D1711yescharacteristic
1196#41—6816no—
1197C2×Q8—41no—
1198C2×Q8—41no—
1199C2×Q8—41no—
1200C2×Q8—342no—
1201C2×Q8—681no—
1202C2×Q8—681no—
1203C2×D4—22no—
1204C2×D4—41no—
1205C2×D4—41no—
1206C2×D4—342no—
1207C2×D4—342no—
1208C2×D4—342no—
1209C2×D4—342no—
1210C2×D4—342no—
1211C2×D4—342no—
1212C2×D4—342no—
1213C2×D4—342no—
1214C2×D4—342no—
1215C2×D4—342no—
1216C2×D4—342no—
1217C2×D4—342no—
1218C2×D4—342no—
1219C2×D4—342no—
1220C2×D4—342no—
1221C2×D4—342no—
1222C2×D4—681no—
1223C2×D4—681no—
1224C2×D4—681no—
1225C2×D4—681no—
1226C2×D4—681no—
1227C2×D4—681no—
1228C2×D4—681no—
1229C2×D4—681no—
1230C2×D4—681no—
1231C2×D4—681no—
1232C2×D4—681no—
1233C2×D4—681no—
1234C2×D4—681no—
1235C2×D4—681no—
1236C2×D4—681no—
1237C2×D4—681no—
1238C2×D4—681no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—41no—
1242C22×C4—41no—
1243C22×C4—41no—
1244C22×C4—41no—
1245C22×C4—171no—
1246C22×C4—174no—
1247C22×C4—171no—
1248C22×C4—171no—
1249C22×C4—171no—
1250C22×C4—171no—
1251C22×C4—171no—
1252C22×C4—171no—
1253C22×C4—171no—
1254C22×C4—171no—
1255C22×C4—171no—
1256C22×C4—171no—
1257C22×C4—171no—
1258C22×C4—342no—
1259C22×C4—342no—
1260C22×C4—342no—
1261C22×C4—342no—
1262C22×C4—342no—
1263C22×C4—342no—
1264C22×C4—342no—
1265C22×C4—342no—
1266C22×C4—342no—
1267C22×C4—342no—
1268C22×C4—342no—
1269C22×C4—342no—
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—681no—
1283C22×C4—681no—
1284C22×C4—681no—
1285C22×C4—681no—
1286C22×C4—681no—
1287C22×C4—6816no—
1288C22×C4—681no—
1289C22×C4—681no—
1290C22×C4—681no—
1291C22×C4C23×D1711yescharacteristic
1292C22×C4C23×D1711yescharacteristic
1293C22×C4C23×D1711yescharacteristic
1294C22×C4C23×D1711yescharacteristic
1295C22×C4C23×D1711yescharacteristic
1296C22×C4C23×D1711yescharacteristic
1297C22×C4C23×D1711yescharacteristic
1298C22×C4C23×D1711yescharacteristic
1299C22×C4C23×D1711yescharacteristic
1300C22×C4C23×D1711yescharacteristic
1301C22×C4C23×D1711yescharacteristic
1302C22×C4C23×D1711yescharacteristic
1303C22×C4C23×D1711yescharacteristic
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—41no—
1307C4⋊C4—41no—
1308C4⋊C4—41no—
1309C4⋊C4—41no—
1310C4⋊C4—41no—
1311C4⋊C4—41no—
1312C4⋊C4—342no—
1313C4⋊C4—342no—
1314C4⋊C4—342no—
1315C4⋊C4—342no—
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—
1328C4⋊C4—681no—
1329C4⋊C4—681no—
1330C4⋊C4—681no—
1331C4⋊C4—681no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—342no—
1343C22⋊C4—342no—
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—342no—
1354C22⋊C4—342no—
1355C22⋊C4—342no—
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—
1378C22⋊C4—681no—
1379C22⋊C4—681no—
1380C22⋊C4—681no—
1381C22⋊C4—681no—
1382C42—41no—
1383C42—681no—
1384C42—681no—
1385C42—681no—
1386C42—681no—
1387C23—21no—
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—172no—
1401C23—172no—
1402C23—172no—
1403C23—172no—
1404C23—348no—
1405C23—341no—
1406C23—341no—
1407C23—341no—
1408C23—341no—
1409C23—341no—
1410C23—341no—
1411C23—341no—
1412C23—341no—
1413C23—341no—
1414C23—341no—
1415C23—341no—
1416C23—341no—
1417C23—341no—
1418C23—341no—
1419C23—341no—
1420C23—341no—
1421C23—341no—
1422C23—341no—
1423C23—341no—
1424C23—341no—
1425C23—341no—
1426C23—341no—
1427C23—341no—
1428C23—341no—
1429C23—684no—
1430C23—684no—
1431C23—684no—
1432C23—684no—
1433C23—684no—
1434C23—684no—
1435C23#1058769412yes—
1436C23C24×D1711yescharacteristic
1437Q8—82no—
1438Q8—684no—
1439D4—82no—
1440D4—684no—
1441D4—684no—
1442D4—684no—
1443D4—684no—
1444D4—1362no—
1445D4—1362no—
1446D4—1362no—
1447D4—1362no—
1448D4—1362no—
1449D4—1362no—
1450D4—1362no—
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—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—44no—
1489C2×C4—44no—
1490C2×C4—172no—
1491C2×C4—348no—
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—341no—
1521C2×C4—341no—
1522C2×C4—341no—
1523C2×C4—341no—
1524C2×C4—341no—
1525C2×C4—341no—
1526C2×C4—341no—
1527C2×C4—684no—
1528C2×C4—684no—
1529C2×C4—684no—
1530C2×C4—684no—
1531C2×C4—684no—
1532C2×C4—684no—
1533C2×C4—684no—
1534C2×C4—1362no—
1535C2×C4—1362no—
1536C2×C4—1362no—
1537C2×C4#41×D1712yes—
1538C2×C4#1058769612yes—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—174no—
1554C22—342no—
1555C22—342no—
1556C22—342no—
1557C22—342no—
1558C22—342no—
1559C22—342no—
1560C22—342no—
1561C22—342no—
1562C22—342no—
1563C22—6816no—
1564C22—681no—
1565C22—681no—
1566C22—681no—
1567C22—681no—
1568C22—681no—
1569C22—681no—
1570C22—681no—
1571C22—681no—
1572C22—681no—
1573C22—681no—
1574C22—681no—
1575C22—681no—
1576C22—681no—
1577C22—681no—
1578C22—681no—
1579C22—681no—
1580C22—681no—
1581C22—681no—
1582C22C2×#41×D1711yescharacteristic
1583C22H(5,𝔽2)×D1711yescharacteristic
1584C22H(5,𝔽2)×D1711yescharacteristic
1585C22H(5,𝔽2)×D1711yescharacteristic
1586C22C2×#1058769611yescharacteristic
1587C22C2×#1058769411yescharacteristic
1588C22#1176364411yescharacteristic
1589C4—22no—
1590C4—22no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—342no—
1603C4—681no—
1604C4—681no—
1605C4—681no—
1606C4—681no—
1607C4—681no—
1608C4—681no—
1609C4—681no—
1610C4—681no—
1611C4—681no—
1612C4—681no—
1613C4—681no—
1614C2—42no—
1615C2—81no—
1616C2—344no—
1617C2—682no—
1618C2—1361no—
1619C2—1361no—
1620C2D17×#53811yescharacteristic
1621C2#1454249211yescharacteristic
1622C2#1454262611yescharacteristic
1623C2#1454293511yescharacteristic
1624C2#1454296511yescharacteristic
1625C2#1454299811yescharacteristic
1626C2#1454301211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D17
commutator, socle, cosocleC23×C17C25
FittingC17×#2784C2
hypercenter#2784D17
hypocenterC17#36791
LCSG ▷ C23×C17 ▷ C17
UCSC1 ◁ C23 ◁ #2784

Complements

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

NH ≅ G/Ntype
1. #14537075C2semidirect
2. #14537067C2semidirect
3. #14536725C2semidirect
4. #14536635C2semidirect
5. #14536526C2semidirect
6. #14536434C2semidirect
7. #14536402C2semidirect
8. #14536030C2semidirect
9. #14536019C2semidirect
10. #14535948C2semidirect
11. #14535583C2semidirect
12. #14535519C2semidirect
13. #14535503C2semidirect
14. #14535499C2semidirect
15. #14535317C2semidirect
16. #14535197C2semidirect
17. #14535144C2semidirect
18. #14534738C2semidirect
19. #14534713C2semidirect
20. #14533046C2semidirect
21. #14532913C2semidirect
22. #14532524C2semidirect
23. #14532453C2semidirect
24. #14532393C2semidirect
25. #14532327C2semidirect
26. #14532164C2semidirect
27. #14532101C2semidirect
28. #14531457C2semidirect
29. #14531373C2semidirect
30. D17×#385C2semidirect
31. C17×#2784C2semidirect
34. C2×#10587565C22semidirect
37. C2×#10587580C22semidirect
55. C17⋊#401C22semidirect
56. #11762751C22semidirect
57. #11762750C22semidirect
58. #11762750C22semidirect
59. #11762750C22semidirect
60. #11762750C22semidirect
61. #11762749C22semidirect
62. #11762748C22semidirect
63. #11762746C22semidirect
64. #11762742C22semidirect
65. #11762741C22semidirect
66. #11762739C22semidirect
68. #11762738C22semidirect
69. #11762738C22semidirect
70. #11762737C22semidirect
71. #11762736C22semidirect
72. #11762736C22semidirect
73. #11762735C22semidirect
74. #11762734C22semidirect
77. #11762731C22semidirect
78. #11762729C22semidirect
80. #11762727C22semidirect
86. #11762724C22semidirect
87. #11762724C22semidirect
88. #11762724C22semidirect
90. #11762722C22semidirect
92. #11762720C22semidirect
94. #11762718C22semidirect
97. #11762716C22semidirect
98. #11762713C22semidirect
99. #11762713C22semidirect
103. #11762709C22semidirect
104. #11762709C22semidirect
105. #11762708C22semidirect
106. #11762706C22semidirect
107. #11762704C22semidirect
109. #11762702C22semidirect
111. #11762701C22semidirect
113. #11762700C22semidirect
115. #11762698C22semidirect
117. #11762695C22semidirect
118. #11762695C22semidirect
119. #11762694C22semidirect
120. #11762693C22semidirect
121. #11762690C22semidirect
124. #11762688C22semidirect
134. #11762687C22semidirect
149. #11762683C22semidirect
150. #11762683C22semidirect
158. #11762680C22semidirect
159. #11762680C22semidirect
163. #11762669C22semidirect
166. #11762666C22semidirect
167. #11762666C22semidirect
172. C17×#400C22semidirect
174. C17×#396C22semidirect
175. C17×#395C22semidirect
177. C17×#393C22semidirect
179. C17×#387C22semidirect
180. C17×#387C22semidirect
184. C17×#385C22semidirect
186. C17×#380C22semidirect
731. #2784D17semidirect
863. #400C2×D17semidirect
880. #396C2×D17semidirect
882. #395C2×D17semidirect
898. #393C2×D17semidirect
929. #387C2×D17semidirect
930. #387C2×D17semidirect
972. #385C2×D17semidirect
982. #380C2×D17semidirect
1182. C17#36791semidirect

Maximal subgroups

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

subgroupindex
#145370752
#145370672
#145367252
#145366352
#145365262
#145364342
#145364022
#145360302
#145360192
#145359482
#145355832
#145355192
#145355032
#145354992
#145353172
#145351972
#145351442
#145347382
#145347132
#145330462
#145329132
#145325242
#145324532
#145323932
#145323272
#145321642
#145321012
#145314572
#145313732
D17×#3852
C17×#27842
#3679117