Finite Group Databasebeta

← #17241862

Subgroups — #17241862

Order 4352.

2184 conjugacy classes of subgroups.

The subgroup lattice has 1636 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11763427C211yesmaximal, characteristic, complemented
2C2×#11763391C211yesmaximal, characteristic, complemented
3#14537113C211yesmaximal, characteristic, complemented
4#14537083C211yesmaximal, characteristic, complemented
5#14535702C211yesmaximal, characteristic, complemented
6#14535609C211yesmaximal, characteristic, complemented
7#14535588C211yesmaximal, characteristic, complemented
8#14535549C211yesmaximal, characteristic, complemented
9#14535375C211yesmaximal, characteristic, complemented
10#14535351C211yesmaximal, characteristic, complemented
11#14535333C211yesmaximal, characteristic, complemented
12#14535258C211yesmaximal, characteristic, complemented
13#14535219C211yesmaximal, characteristic, complemented
14#14535189C211yesmaximal, characteristic, complemented
15#14535174C211yesmaximal, characteristic, complemented
16#14535159C211yesmaximal, characteristic, complemented
17#14535078C211yesmaximal, characteristic, complemented
18#14535067C211yesmaximal, characteristic, complemented
19#14535009C211yesmaximal, characteristic, complemented
20#14534986C211yesmaximal, characteristic, complemented
21#14534932C211yesmaximal, characteristic, complemented
22#14534468C211yesmaximal, characteristic, complemented
23#14534420C211yesmaximal, characteristic, complemented
24#14534393C211yesmaximal, characteristic, complemented
25#14534378C211yesmaximal, characteristic, complemented
26#14534270C211yesmaximal, characteristic, complemented
27#14533940C211yesmaximal, characteristic, complemented
28#14532210C211yesmaximal, characteristic, complemented
29#14532166C211yesmaximal, characteristic, complemented
30#14531223C211yesmaximal, characteristic, complemented
31C17×#2661C211yesmaximal, characteristic, complemented
32#11763427—28no—
33#11763391—28no—
34C2×#10587574C2211yescharacteristic, complemented
35C2×#10587584C2211yescharacteristic
36C2×#10587584C2211yescharacteristic
37C2×#10587565C2211yescharacteristic
38C2×#10587565C2211yescharacteristic, complemented
39C2×#10587622C2211yescharacteristic
40C2×#10587622C2211yescharacteristic
41C2×#10587622C2211yescharacteristic, complemented
42C2×#10587571C2211yescharacteristic
43C2×#10587571C2211yescharacteristic
44C2×#10587571C2211yescharacteristic
45C2×#10587615C2211yescharacteristic
46C2×#10587569C2211yescharacteristic
47C2×#10587621C2211yescharacteristic
48C2×#10587610C2211yescharacteristic, complemented
49C2×#10587582C2211yescharacteristic
50C2×#10587582C2211yescharacteristic
51C2×#10587564C2211yescharacteristic, complemented
52C2×#10587564C2211yescharacteristic, complemented
53C2×#10587625C2211yescharacteristic
54C2×#10587625C2211yescharacteristic
55C2×#10587625C2211yescharacteristic
56C2×#10587624C2211yescharacteristic
57C2×#10587623C2211yescharacteristic
58C2×#10587623C2211yescharacteristic
59C2×#10587623C2211yescharacteristic
60C2×#10587573C2211yescharacteristic, complemented
61C2×C4×C22⋊D17C2211yescharacteristic
62C2×#10587567C2211yescharacteristic
63C2×#10587558C2211yescharacteristic
64C2×#10587563C2211yescharacteristic, complemented
65C2×C22⋊C4×D17C2211yescharacteristic
66C22×C4×Dic17C2211yescharacteristic, complemented
67#11762751C2211yescharacteristic, complemented
68#11762749C2211yescharacteristic, complemented
69#11762746C2211yescharacteristic
70#11762745C2211yescharacteristic
71#11762740C2211yescharacteristic, complemented
72#11762738C2211yescharacteristic
73#11762738C2211yescharacteristic
74#11762738C2211yescharacteristic
75#11762737C2211yescharacteristic
76#11762737C2211yescharacteristic, complemented
77#11762736C2211yescharacteristic
78#11762735C2211yescharacteristic
79#11762734C2211yescharacteristic, complemented
80#11762734C2211yescharacteristic, complemented
81#11762732C2211yescharacteristic
82#11762732C2211yescharacteristic
83#11762732C2211yescharacteristic, complemented
84#11762731C2211yescharacteristic
85#11762730C2211yescharacteristic, complemented
86#11762730C2211yescharacteristic, complemented
87#11762729C2211yescharacteristic, complemented
88#11762725C2211yescharacteristic
89#11762725C2211yescharacteristic
90#11762725C2211yescharacteristic
91#11762725C2211yescharacteristic
92#11762725C2211yescharacteristic
93#11762724C2211yescharacteristic
94#11762724C2211yescharacteristic
95#11762724C2211yescharacteristic
96#11762723C2211yescharacteristic
97#11762723C2211yescharacteristic
98#11762722C2211yescharacteristic
99#11762722C2211yescharacteristic
100#11762722C2211yescharacteristic
101#11762721C2211yescharacteristic
102#11762721C2211yescharacteristic
103#11762721C2211yescharacteristic, complemented
104#11762721C2211yescharacteristic, complemented
105#11762717C2211yescharacteristic
106#11762717C2211yescharacteristic
107#11762714C2211yescharacteristic, complemented
108#11762713C2211yescharacteristic, complemented
109#11762713C2211yescharacteristic, complemented
110#11762713C2211yescharacteristic, complemented
111#11762712C2211yescharacteristic
112#11762709C2211yescharacteristic
113#11762709C2211yescharacteristic
114#11762709C2211yescharacteristic
115#11762709C2211yescharacteristic
116#11762707C2211yescharacteristic, complemented
117#11762707C2211yescharacteristic, complemented
118#11762706C2211yescharacteristic, complemented
119#11762704C2211yescharacteristic, complemented
120#11762704C2211yescharacteristic, complemented
121#11762703C2211yescharacteristic
122#11762703C2211yescharacteristic
123#11762703C2211yescharacteristic
124#11762703C2211yescharacteristic, complemented
125#11762703C2211yescharacteristic, complemented
126#11762703C2211yescharacteristic, complemented
127#11762703C2211yescharacteristic, complemented
128#11762703C2211yescharacteristic, complemented
129#11762702C2211yescharacteristic
130#11762702C2211yescharacteristic
131#11762702C2211yescharacteristic, complemented
132#11762700C2211yescharacteristic
133#11762700C2211yescharacteristic
134#11762699C2211yescharacteristic
135#11762699C2211yescharacteristic
136#11762699C2211yescharacteristic
137#11762698C2211yescharacteristic
138#11762698C2211yescharacteristic
139#11762695C2211yescharacteristic, complemented
140#11762695C2211yescharacteristic, complemented
141#11762692C2211yescharacteristic, complemented
142#11762691C2211yescharacteristic, complemented
143#11762691C2211yescharacteristic, complemented
144#11762691C2211yescharacteristic, complemented
145#11762689C2211yescharacteristic
146#11762689C2211yescharacteristic
147#11762689C2211yescharacteristic
148#11762689C2211yescharacteristic, complemented
149#11762689C2211yescharacteristic, complemented
150#11762689C2211yescharacteristic, complemented
151#11762689C2211yescharacteristic, complemented
152#11762689C2211yescharacteristic, complemented
153#11762686C2211yescharacteristic
154#11762686C2211yescharacteristic
155#11762686C2211yescharacteristic
156#11762686C2211yescharacteristic
157#11762685C2211yescharacteristic
158#11762684C2211yescharacteristic, complemented
159#11762684C2211yescharacteristic, complemented
160#11762681C2211yescharacteristic, complemented
161#11762681C2211yescharacteristic, complemented
162#11762680C2211yescharacteristic
163#11762674C2211yescharacteristic, complemented
164#11762671C2211yescharacteristic
165#11762671C2211yescharacteristic
166#11762667C2211yescharacteristic, complemented
167#11762667C2211yescharacteristic, complemented
168#11762664C2211yescharacteristic
169#11762664C2211yescharacteristic
170#11762664C2211yescharacteristic
171C4×#63225C2211yescharacteristic, complemented
172C4×#63227C2211yescharacteristic
173#11762655C2211yescharacteristic, complemented
174C2×C17×#123C2211yescharacteristic, complemented
175C2×C17×#121C2211yescharacteristic
176C17×#398C2211yescharacteristic, complemented
177C17×#397C2211yescharacteristic, complemented
178C17×#394C2211yescharacteristic
179C17×#394C2211yescharacteristic
180C17×#394C2211yescharacteristic, complemented
181C17×#392C2211yescharacteristic
182C17×#392C2211yescharacteristic
183C17×#392C2211yescharacteristic, complemented
184C17×#390C2211yescharacteristic
185C17×#390C2211yescharacteristic, complemented
186C17×#388C2211yescharacteristic
187C17×#388C2211yescharacteristic, complemented
188C4×C22⋊C4×C17C2211yescharacteristic, complemented
189C24×D17C2311yescharacteristic
190C22×D4×C17C2311yescharacteristic
191C22×D4×C17C2311yescharacteristic
192C22×D4×C17C2311yescharacteristic
193C22×D4×C17C2311yescharacteristic
194C22×D4×C17C2311yescharacteristic
195C22×D4×C17C2311yescharacteristic
196C23×C4×C17C2311yescharacteristic
197C22×C22⋊D17C2311yescharacteristic
198C22×C22⋊D17C2311yescharacteristic
199C22×C22⋊D17C2311yescharacteristic
200C22×C22⋊D17C2311yescharacteristic
201C22×C22⋊D17C2311yescharacteristic
202C22×C22⋊D17C2311yescharacteristic
203C23×Dic17C2311yescharacteristic
204C23×Dic17C2311yescharacteristic
205C23×Dic17C2311yescharacteristic
206C23×Dic17C2311yescharacteristic
207C22×C4×D17C2311yescharacteristic
208C22×C4×D17C2311yescharacteristic
209C22×Dic34C2311yescharacteristic
210C22×Dic34C2311yescharacteristic
211C22×Dic34C2311yescharacteristic
212C22×Dic34C2311yescharacteristic
213C17×#123—24no—
214C17×#121—24no—
215C2×C4⋊C4×C17C2311yescharacteristic
216C2×C4⋊C4×C17C2311yescharacteristic
217C2×C4⋊C4×C17C2311yescharacteristic
218C2×C4⋊C4×C17C2311yescharacteristic
219C2×C4⋊C4×C17C2311yescharacteristic
220C2×C22⋊C4×C17C2311yescharacteristic
221C2×C22⋊C4×C17C2311yescharacteristic
222C2×C22⋊C4×C17C2311yescharacteristic
223C2×C22⋊C4×C17C2311yescharacteristic
224C2×C22⋊C4×C17C2311yescharacteristic
225C2×C22⋊C4×C17C2311yescharacteristic
226C2×C22⋊C4×C17C2311yescharacteristic
227C2×C22⋊C4×C17C2311yescharacteristic
228C2×C22⋊C4×C17C2311yescharacteristic
229C2×C22⋊C4×C17C2311yescharacteristic
230C2×C22⋊C4×C17C2311yescharacteristic
231C2×C22⋊C4×C17C2311yescharacteristic
232C2×C22⋊C4×C17C2311yescharacteristic
233C2×C22⋊C4×C17C2311yescharacteristic
234C2×C22⋊C4×C17C2311yescharacteristic
235C2×C42×C17C2311yescharacteristic
236C2×C42×C17C2311yescharacteristic
237C2×C22⋊Dic17C2311yescharacteristic
238C2×C22⋊Dic17C2311yescharacteristic
239C2×C22⋊Dic17C2311yescharacteristic
240C2×C22⋊Dic17C2311yescharacteristic
241C2×C22⋊Dic17C2311yescharacteristic
242C2×C22⋊Dic17C2311yescharacteristic
243C2×C22⋊Dic17C2311yescharacteristic
244C2×C22⋊Dic17C2311yescharacteristic
245C2×C22⋊Dic17C2311yescharacteristic
246C2×C22⋊Dic17C2311yescharacteristic
247C2×C22⋊Dic17C2311yescharacteristic
248C2×C22⋊Dic17C2311yescharacteristic
249C2×C22⋊Dic17C2311yescharacteristic
250C2×C22⋊Dic17C2311yescharacteristic
251C2×C22⋊Dic17C2311yescharacteristic
252C2×C22⋊Dic17C2311yescharacteristic
253C2×C22⋊Dic17C2311yescharacteristic
254C2×C22⋊Dic17C2311yescharacteristic
255C2×C22⋊Dic17C2311yescharacteristic
256C2×C22⋊Dic17C2311yescharacteristic
257C2×C22⋊Dic17C2311yescharacteristic
258#10587625—24no—
259#10587625—24no—
260#10587625—42no—
261#10587624—24no—
262#10587623—24no—
263#10587623—24no—
264#10587623—42no—
265#10587622—24no—
266#10587622—24no—
267#10587622—42no—
268#10587621—24no—
269#10587615—24no—
270C4×C22⋊D17D418yescomplemented
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×#63227C2311yescharacteristic
285C2×#63227C2311yescharacteristic
286C2×#63227C2311yescharacteristic
287C2×#63227C2311yescharacteristic
288C2×#63227C2311yescharacteristic
289C2×#63227C2311yescharacteristic
290C2×#63227C2311yescharacteristic
291C2×C4⋊Dic17C2311yescharacteristic
292C2×C4⋊Dic17C2311yescharacteristic
293C2×C4⋊Dic17C2311yescharacteristic
294C2×C4⋊Dic17C2311yescharacteristic
295C2×C4⋊Dic17C2311yescharacteristic
296C2×C4⋊Dic17C2311yescharacteristic
297C2×C4⋊Dic17C2311yescharacteristic
298#10587610—24no—
299C2×#63225C2311yescharacteristic
300C2×#63225C2311yescharacteristic
301C2×#63225C2311yescharacteristic
302C2×#63225C2311yescharacteristic
303C2×#63225C2311yescharacteristic
304C2×#63225C2311yescharacteristic
305C2×#63225C2311yescharacteristic
306C2×#63225C2311yescharacteristic
307C2×#63225C2311yescharacteristic
308C2×#63225C2311yescharacteristic
309C2×#63225C2311yescharacteristic
310C2×#63225C2311yescharacteristic
311C2×#63225C2311yescharacteristic
312C2×#63225C2311yescharacteristic
313C2×#63225C2311yescharacteristic
314C2×#63225C2311yescharacteristic
315C2×C4×Dic17—42no—
316C2×C4×Dic17C2311yescharacteristic
317C2×C4×Dic17C2311yescharacteristic
318C2×C4×Dic17C2311yescharacteristic
319C2×C4×Dic17C2311yescharacteristic
320C2×C4×Dic17C2311yescharacteristic
321C2×C4×Dic17C2311yescharacteristic
322C2×C4×Dic17C2311yescharacteristic
323C2×C4×Dic17C2311yescharacteristic
324C2×C4×Dic17C2311yescharacteristic
325#10587584—24no—
326#10587584—24no—
327#10587582—24no—
328#10587582—24no—
329#10587574—24no—
330#10587573—24no—
331#10587571—24no—
332#10587571—24no—
333#10587571—24no—
334#10587569—24no—
335#10587567—24no—
336C22⋊C4×D17—24no—
337#10587565—24no—
338#10587565—24no—
339#10587564—24no—
340#10587564—42no—
341#10587563—24no—
342#10587558—42no—
343C17×#95C2311yescharacteristic
344C17×#95C2311yescharacteristic
345C17×#95C2311yescharacteristic
346C17×#95C2311yescharacteristic
347C17×#95C2311yescharacteristic
348C17×#95C2311yescharacteristic
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
369#10587502C2311yescharacteristic
370#10587502C2311yescharacteristic
371#10587502C2311yescharacteristic
372#10587502C2311yescharacteristic
373#10587502C2311yescharacteristic
374#10587502C2311yescharacteristic
375#10587502C2311yescharacteristic
376#10587502C2311yescharacteristic
377#10587502C2311yescharacteristic
378#10587502C2311yescharacteristic
379C24×C17C2411yescharacteristic
380C24×C17C2411yescharacteristic
381C24×C17C2411yescharacteristic
382C24×C17C2411yescharacteristic
383C23×D17—22no—
384C23×D17—41no—
385C23×D17—41no—
386C23×D17—41no—
387C23×D17—41no—
388C23×D17—41no—
389C23×D17—41no—
390C23×D17C2411yescharacteristic
391C23×D17C2411yescharacteristic
392C2×D4×C17—22no—
393C2×D4×C17—22no—
394C2×D4×C17—22no—
395C2×D4×C17—22no—
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—
404C2×D4×C17—41no—
405C2×D4×C17—41no—
406C2×D4×C17—41no—
407C2×D4×C17—41no—
408C2×D4×C17—41no—
409C2×D4×C17—41no—
410C22×C4×C17—41no—
411C22×C4×C17—41no—
412C22×C4×C17C2×D414yes—
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
423C22×C4×C17C2411yescharacteristic
424C2×C22⋊D17—22no—
425C2×C22⋊D17—22no—
426C2×C22⋊D17—22no—
427C2×C22⋊D17—22no—
428C2×C22⋊D17—22no—
429C2×C22⋊D17—41no—
430C2×C22⋊D17—41no—
431C2×C22⋊D17—41no—
432C2×C22⋊D17—41no—
433C2×C22⋊D17—41no—
434C2×C22⋊D17—41no—
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⋊D17C2×D414yes—
442C22×Dic17—22no—
443C22×Dic17—22no—
444C22×Dic17—22no—
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×Dic17C2411yescharacteristic
455C22×Dic17C2411yescharacteristic
456C22×Dic17C2411yescharacteristic
457C22×Dic17C2411yescharacteristic
458C22×Dic17C2411yescharacteristic
459C22×Dic17C2411yescharacteristic
460C22×Dic17C2411yescharacteristic
461C22×Dic17C2411yescharacteristic
462C22×Dic17C2411yescharacteristic
463C22×Dic17C2411yescharacteristic
464C22×Dic17C2411yescharacteristic
465C22×Dic17C2411yescharacteristic
466C22×Dic17C2411yescharacteristic
467C22×Dic17C2411yescharacteristic
468C2×C4×D17—22no—
469C2×C4×D17—41no—
470C2×C4×D17—41no—
471C2×C4×D17—41no—
472C2×C4×D17—41no—
473C2×C4×D17C2×D414yes—
474C2×Dic34—22no—
475C2×Dic34—22no—
476C2×Dic34—22no—
477C2×Dic34—22no—
478C2×Dic34—41no—
479C2×Dic34—41no—
480C2×Dic34—41no—
481C2×Dic34—41no—
482C2×Dic34—41no—
483C2×Dic34—41no—
484C2×Dic34—41no—
485C2×Dic34—41no—
486C4⋊C4×C17—22no—
487C4⋊C4×C17—22no—
488C4⋊C4×C17—22no—
489C4⋊C4×C17—41no—
490C4⋊C4×C17—41no—
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—
504C22⋊C4×C17—41no—
505C22⋊C4×C17—41no—
506C42×C17—41no—
507C42×C17—41no—
508C22⋊Dic17—22no—
509C22⋊Dic17—22no—
510C22⋊Dic17—22no—
511C22⋊Dic17—22no—
512C22⋊Dic17—22no—
513C22⋊Dic17—22no—
514C22⋊Dic17—22no—
515C22⋊Dic17—22no—
516C22⋊Dic17—22no—
517C22⋊Dic17—22no—
518C22⋊Dic17—22no—
519C22⋊Dic17—41no—
520C22⋊Dic17—41no—
521C22⋊Dic17—41no—
522C22⋊Dic17—41no—
523C22⋊Dic17—41no—
524C22⋊Dic17—41no—
525C22⋊Dic17—41no—
526C22⋊Dic17—41no—
527C22⋊Dic17—41no—
528C22⋊Dic17C2×D414yes—
529#63227—22no—
530#63227—22no—
531#63227—22no—
532#63227—22no—
533#63227—22no—
534#63227—22no—
535#63227—22no—
536#63227—22no—
537#63227—22no—
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#63227C2×D414yes—
549C4⋊Dic17—22no—
550C4⋊Dic17—22no—
551C4⋊Dic17—22no—
552C4⋊Dic17—41no—
553C4⋊Dic17—41no—
554C4⋊Dic17—41no—
555C4⋊Dic17—41no—
556#63225—22no—
557#63225—22no—
558#63225—22no—
559#63225—22no—
560#63225—22no—
561#63225—22no—
562#63225—22no—
563#63225—22no—
564#63225—22no—
565#63225—22no—
566#63225—41no—
567#63225—41no—
568#63225—41no—
569#63225—41no—
570#63225—41no—
571#63225C2×D414yes—
572C4×Dic17—22no—
573C4×Dic17—22no—
574C4×Dic17—22no—
575C4×Dic17—22no—
576C4×Dic17—22no—
577C4×Dic17—22no—
578C4×Dic17—41no—
579C4×Dic17—41no—
580C4×Dic17C2×D414yes—
581#36745—171nomaximal, Sylow
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—21no—
605C23×C17—21no—
606C23×C17—21no—
607C23×C17—21no—
608C23×C17—21no—
609C23×C17C22×D412yes—
610C23×C17C2511yescharacteristic
611C22×D17—21no—
612C22×D17—21no—
613C22×D17—21no—
614C22×D17—21no—
615C22×D17—21no—
616C22×D17—21no—
617C22×D17—21no—
618C22×D17—21no—
619C22×D17—21no—
620C22×D17—21no—
621C22×D17—21no—
622C22×D17—21no—
623C22×D17—21no—
624C22×D17—44no—
625C22×D17—82no—
626C22×D17—82no—
627C22×D17—82no—
628C22×D17—82no—
629C22×D17—82no—
630C22×D17—82no—
631C22×D17C22×D412yes—
632D4×C17—82no—
633D4×C17—82no—
634D4×C17—82no—
635D4×C17—82no—
636D4×C17—82no—
637D4×C17—82no—
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—21no—
664C2×C4×C17—21no—
665C2×C4×C17—21no—
666C2×C4×C17—21no—
667C2×C4×C17—21no—
668C2×C4×C17—21no—
669C2×C4×C17—44no—
670C2×C4×C17C22×D412yes—
671C2×C4×C17C22×D412yes—
672C22⋊D17—44no—
673C22⋊D17—44no—
674C22⋊D17—82no—
675C22⋊D17—82no—
676C22⋊D17—82no—
677C22⋊D17—82no—
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—21no—
712C2×Dic17—21no—
713C2×Dic17—21no—
714C2×Dic17—21no—
715C2×Dic17—21no—
716C2×Dic17—44no—
717C2×Dic17—44no—
718C2×Dic17—44no—
719C2×Dic17—82no—
720C2×Dic17C22×D412yes—
721C2×Dic17C22×D412yes—
722C2×Dic17C22×D412yes—
723C2×Dic17H(5,𝔽2)12yes—
724C4×D17—44no—
725C4×D17—82no—
726Dic34—44no—
727Dic34—82no—
728Dic34—82no—
729Dic34—82no—
730C2×#542—171no—
731C2×#538—171no—
732#2854—171no—
733#2850—171no—
734#2723—171no—
735#2716—171no—
736#2715—171no—
737#2712—171no—
738#2700—171no—
739#2698—171no—
740#2696—171no—
741#2691—171no—
742#2688—171no—
743#2686—171no—
744#2685—171no—
745#2684—171no—
746#2676—171no—
747#2674—171no—
748#2670—171no—
749#2668—171no—
750#2663—171no—
751#2661D1711yescharacteristic, complemented
752#2610—171no—
753#2604—171no—
754#2602—171no—
755#2601—171no—
756#2592—171no—
757#2561—171no—
758#2415—171no—
759#2411—171no—
760#2290—171no—
761C22×C17—22no—
762C22×C17—22no—
763C22×C17—22no—
764C22×C17—41no—
765C22×C17—41no—
766C22×C17—41no—
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×C17C23×D411yescharacteristic
790C22×C17C2×H(5,𝔽2)11yescharacteristic
791C22×C17#58511yescharacteristic
792C22×C17#58511yescharacteristic
793C22×C17#58511yescharacteristic
794C22×C17#58511yescharacteristic
795C22×C17#58511yescharacteristic
796C2×D17—22no—
797C2×D17—22no—
798C2×D17—22no—
799C2×D17—41no—
800C2×D17—41no—
801C2×D17—41no—
802C2×D17—41no—
803C2×D17—41no—
804C2×D17—41no—
805C2×D17—41no—
806C2×D17—41no—
807C2×D17—41no—
808C2×D17—41no—
809C2×D17—41no—
810C2×D17—88no—
811C4×C17—22no—
812C4×C17—22no—
813C4×C17—41no—
814C4×C17—41no—
815C4×C17—41no—
816C4×C17—41no—
817C4×C17—41no—
818C4×C17—41no—
819C4×C17—41no—
820C4×C17—41no—
821C4×C17—41no—
822Dic17—22no—
823Dic17—22no—
824Dic17—22no—
825Dic17—22no—
826Dic17—41no—
827Dic17—41no—
828Dic17—41no—
829Dic17—41no—
830Dic17—41no—
831Dic17—41no—
832Dic17—41no—
833Dic17—41no—
834Dic17—41no—
835Dic17—41no—
836#542—348no—
837#538—348no—
838C2×C4⋊Q8—171no—
839C2×#126—171no—
840C2×#126—171no—
841C2×#126—171no—
842C2×#126—171no—
843C2×#124—171no—
844C2×#124—171no—
845C2×#124—171no—
846C2×#124—171no—
847C2×#124—171no—
848C2×#124—171no—
849C2×#123—171no—
850C2×#123—171no—
851C2×#123—171no—
852C2×#123C2×D1711yescharacteristic, complemented
853C2×C22⋊Q8—171no—
854C2×C22⋊Q8—171no—
855C2×C22⋊Q8—171no—
856C2×C22⋊Q8—171no—
857C2×C22⋊Q8—171no—
858C2×#121—171no—
859C2×#121—171no—
860C2×#121—171no—
861C2×#121—171no—
862C2×#121C2×D1711yescharacteristic
863C2×#120—171no—
864C2×#120—171no—
865C2×#120—171no—
866C2×C4×Q8—171no—
867C2×C4×D4—171no—
868C2×C4×D4—171no—
869C2×#117—171no—
870C2×#117—171no—
871C22×C22⋊C4—171no—
872C22×C42—171no—
873#400—171no—
874#400—171no—
875#399—171no—
876#399—171no—
877#398—171no—
878#398C2×D1711yescharacteristic, complemented
879#397—171no—
880#397—171no—
881#397—171no—
882#397—171no—
883#397—171no—
884#397—171no—
885#397—171no—
886#397—171no—
887#397—171no—
888#397C2×D1711yescharacteristic, complemented
889#396—171no—
890#396—171no—
891#396—171no—
892#396—171no—
893#395—171no—
894#395—171no—
895#395—171no—
896#394—171no—
897#394—171no—
898#394—171no—
899#394—171no—
900#394—171no—
901#394—171no—
902#394—171no—
903#394—171no—
904#394—171no—
905#394—171no—
906#394C2×D1711yescharacteristic
907#394C2×D1711yescharacteristic
908#394C2×D1711yescharacteristic, complemented
909#393—171no—
910#393—171no—
911#393—171no—
912#393—171no—
913#393—171no—
914#393—171no—
915#393—171no—
916#392—171no—
917#392—171no—
918#392C2×D1711yescharacteristic
919#392C2×D1711yescharacteristic
920#392C2×D1711yescharacteristic, complemented
921#391—171no—
922#391—171no—
923#391—171no—
924#391—171no—
925#390—171no—
926#390—171no—
927#390—171no—
928#390—171no—
929#390—171no—
930#390C2×D1711yescharacteristic
931#390C2×D1711yescharacteristic, complemented
932#389—171no—
933#389—171no—
934#389—171no—
935#389—171no—
936#389—171no—
937#388—171no—
938#388—171no—
939#388—171no—
940#388—171no—
941#388—171no—
942#388—171no—
943#388—171no—
944#388—171no—
945#388—171no—
946#388—171no—
947#388—171no—
948#388—171no—
949#388—171no—
950#388—171no—
951#388—171no—
952#388—171no—
953#388—171no—
954#388—171no—
955#388C2×D1711yescharacteristic
956#388C2×D1711yescharacteristic, complemented
957#387—171no—
958#387—171no—
959#387—171no—
960#387—171no—
961#387—171no—
962#387—171no—
963#386—171no—
964#386—171no—
965#386—171no—
966#386—171no—
967#386—171no—
968#386—171no—
969#386—171no—
970#386—171no—
971#386—171no—
972#386—171no—
973#386—171no—
974#386—171no—
975#386—171no—
976#385—171no—
977#385—171no—
978#385—171no—
979#385—171no—
980#385—171no—
981#382—171no—
982#381—171no—
983#381—171no—
984#380—171no—
985#380—171no—
986#379—171no—
987#379—171no—
988#379—171no—
989C4×C4⋊C4—171no—
990C4×C22⋊C4—171no—
991C4×C22⋊C4C2×D1711yescharacteristic, complemented
992#376—171no—
993C2×C17—42no—
994C2×C17—81no—
995C2×C17—81no—
996C2×C17—81no—
997C2×C17#344911yescharacteristic
998C2×C17#349611yescharacteristic
999C2×C17#350011yescharacteristic
1000C2×C17#353311yescharacteristic
1001C2×C17#354011yescharacteristic
1002C2×C17#356611yescharacteristic
1003C2×C17#356811yescharacteristic
1004D17—42no—
1005D17—81no—
1006C25—171no—
1007C22×Q8—171no—
1008C22×Q8—171no—
1009C22×Q8—171no—
1010C22×Q8—171no—
1011C22×D4—171no—
1012C22×D4—171no—
1013C22×D4—171no—
1014C22×D4—171no—
1015C22×D4—171no—
1016C22×D4—171no—
1017C22×D4C22×D1711yescharacteristic
1018C22×D4C22×D1711yescharacteristic
1019C22×D4C22×D1711yescharacteristic
1020C22×D4C22×D1711yescharacteristic
1021C22×D4C22×D1711yescharacteristic
1022C22×D4C22×D1711yescharacteristic
1023C23×C4—171no—
1024C23×C4—171no—
1025C23×C4—171no—
1026C23×C4—171no—
1027C23×C4—171no—
1028C23×C4—171no—
1029C23×C4C22×D1711yescharacteristic
1030C4⋊Q8—344no—
1031#126—344no—
1032#126—344no—
1033#126—344no—
1034#126—344no—
1035#124—344no—
1036#124—344no—
1037#124—344no—
1038#124—344no—
1039#124—344no—
1040#124—682no—
1041#123—24no—
1042#123—344no—
1043#123—344no—
1044#123—344no—
1045C22⋊Q8—344no—
1046C22⋊Q8—344no—
1047C22⋊Q8—344no—
1048C22⋊Q8—344no—
1049C22⋊Q8—682no—
1050#121—24no—
1051#121—344no—
1052#121—344no—
1053#121—344no—
1054#121—682no—
1055#120—344no—
1056#120—344no—
1057#120—682no—
1058C4×Q8—344no—
1059C4×D4—178no—
1060C4×D4—344no—
1061#117—344no—
1062#117—682no—
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—171no—
1076C2×C4⋊C4—171no—
1077C2×C4⋊C4—171no—
1078C2×C4⋊C4—171no—
1079C2×C4⋊C4—171no—
1080C2×C4⋊C4—171no—
1081C2×C4⋊C4—171no—
1082C2×C4⋊C4—171no—
1083C2×C4⋊C4—171no—
1084C2×C4⋊C4—171no—
1085C2×C4⋊C4—171no—
1086C2×C4⋊C4C22×D1711yescharacteristic
1087C2×C4⋊C4C22×D1711yescharacteristic
1088C2×C4⋊C4C22×D1711yescharacteristic
1089C2×C4⋊C4C22×D1711yescharacteristic
1090C2×C4⋊C4C22×D1711yescharacteristic
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—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—344no—
1133C2×C22⋊C4C22×D1711yescharacteristic
1134C2×C22⋊C4C22×D1711yescharacteristic
1135C2×C22⋊C4C22×D1711yescharacteristic
1136C2×C22⋊C4C22×D1711yescharacteristic
1137C2×C22⋊C4C22×D1711yescharacteristic
1138C2×C22⋊C4C22×D1711yescharacteristic
1139C2×C22⋊C4C22×D1711yescharacteristic
1140C2×C22⋊C4C22×D1711yescharacteristic
1141C2×C22⋊C4C22×D1711yescharacteristic
1142C2×C22⋊C4C22×D1711yescharacteristic
1143C2×C22⋊C4C22×D1711yescharacteristic
1144C2×C22⋊C4C22×D1711yescharacteristic
1145C2×C22⋊C4C22×D1711yescharacteristic
1146C2×C22⋊C4C22×D1711yescharacteristic
1147C2×C22⋊C4C22×D1711yescharacteristic
1148C2×C42—171no—
1149C2×C42—171no—
1150C2×C42—171no—
1151C2×C42—171no—
1152C2×C42—171no—
1153C2×C42—171no—
1154C2×C42—171no—
1155C2×C42—171no—
1156C2×C42—171no—
1157C2×C42—682no—
1158C2×C42C22×D1711yescharacteristic
1159C2×C42C22×D1711yescharacteristic
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#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#95C22×D1711yescharacteristic
1191#95C22×D1711yescharacteristic
1192#95C22×D1711yescharacteristic
1193#95C22×D1711yescharacteristic
1194#95C22×D1711yescharacteristic
1195#95C22×D1711yescharacteristic
1196C17#3674511yescharacteristic, complemented, Sylow
1197C24—171no—
1198C24—171no—
1199C24—342no—
1200C24—681no—
1201C24—681no—
1202C24—681no—
1203C24—681no—
1204C24—681no—
1205C24—681no—
1206C24C23×D1711yescharacteristic
1207C24C23×D1711yescharacteristic
1208C24C23×D1711yescharacteristic
1209C24C23×D1711yescharacteristic
1210C2×Q8—342no—
1211C2×Q8—342no—
1212C2×Q8—342no—
1213C2×Q8—342no—
1214C2×Q8—681no—
1215C2×Q8—681no—
1216C2×Q8—681no—
1217C2×Q8—681no—
1218C2×Q8—681no—
1219C2×Q8—681no—
1220C2×Q8—681no—
1221C2×Q8—681no—
1222C2×D4—22no—
1223C2×D4—22no—
1224C2×D4—22no—
1225C2×D4—22no—
1226C2×D4—41no—
1227C2×D4—41no—
1228C2×D4—41no—
1229C2×D4—41no—
1230C2×D4—41no—
1231C2×D4—41no—
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—174no—
1241C2×D4—342no—
1242C2×D4—342no—
1243C2×D4—342no—
1244C2×D4—342no—
1245C2×D4—342no—
1246C2×D4—681no—
1247C2×D4—681no—
1248C2×D4—681no—
1249C2×D4—681no—
1250C2×D4—681no—
1251C2×D4—681no—
1252C2×D4—681no—
1253C2×D4—681no—
1254C2×D4—681no—
1255C2×D4—681no—
1256C2×D4—681no—
1257C2×D4—681no—
1258C22×C4—41no—
1259C22×C4—41no—
1260C22×C4—171no—
1261C22×C4—171no—
1262C22×C4—171no—
1263C22×C4—171no—
1264C22×C4—174no—
1265C22×C4—171no—
1266C22×C4—171no—
1267C22×C4—171no—
1268C22×C4—171no—
1269C22×C4—171no—
1270C22×C4—171no—
1271C22×C4—171no—
1272C22×C4—171no—
1273C22×C4—171no—
1274C22×C4—171no—
1275C22×C4—342no—
1276C22×C4—342no—
1277C22×C4—342no—
1278C22×C4—342no—
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—681no—
1288C22×C4—681no—
1289C22×C4—681no—
1290C22×C4—681no—
1291C22×C4—681no—
1292C22×C4D4×D1714yes—
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—22no—
1307C4⋊C4—41no—
1308C4⋊C4—41no—
1309C4⋊C4—174no—
1310C4⋊C4—342no—
1311C4⋊C4—342no—
1312C4⋊C4—342no—
1313C4⋊C4—342no—
1314C4⋊C4—342no—
1315C4⋊C4—342no—
1316C4⋊C4—342no—
1317C4⋊C4—342no—
1318C4⋊C4—342no—
1319C4⋊C4—342no—
1320C4⋊C4—342no—
1321C4⋊C4—342no—
1322C4⋊C4—342no—
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—22no—
1335C22⋊C4—22no—
1336C22⋊C4—22no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—41no—
1343C22⋊C4—41no—
1344C22⋊C4—41no—
1345C22⋊C4—41no—
1346C22⋊C4—41no—
1347C22⋊C4—174no—
1348C22⋊C4—174no—
1349C22⋊C4—342no—
1350C22⋊C4—342no—
1351C22⋊C4—342no—
1352C22⋊C4—342no—
1353C22⋊C4—342no—
1354C22⋊C4—342no—
1355C22⋊C4—342no—
1356C22⋊C4—342no—
1357C22⋊C4—342no—
1358C22⋊C4—342no—
1359C22⋊C4—342no—
1360C22⋊C4—342no—
1361C22⋊C4—342no—
1362C22⋊C4—342no—
1363C22⋊C4—342no—
1364C22⋊C4—342no—
1365C22⋊C4—342no—
1366C22⋊C4—342no—
1367C22⋊C4—342no—
1368C22⋊C4—342no—
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—
1382C22⋊C4—681no—
1383C22⋊C4—681no—
1384C22⋊C4—681no—
1385C22⋊C4—681no—
1386C22⋊C4—681no—
1387C22⋊C4—681no—
1388C42—41no—
1389C42—41no—
1390C42—174no—
1391C42—342no—
1392C42—342no—
1393C42—342no—
1394C42—342no—
1395C42—342no—
1396C42—342no—
1397C42—681no—
1398C42—681no—
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—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—172no—
1427C23—341no—
1428C23—341no—
1429C23—341no—
1430C23—341no—
1431C23—341no—
1432C23—341no—
1433C23—341no—
1434C23—341no—
1435C23—341no—
1436C23—341no—
1437C23—341no—
1438C23—341no—
1439C23—341no—
1440C23—684no—
1441C23—1362no—
1442C23—1362no—
1443C23—1362no—
1444C23—1362no—
1445C23—1362no—
1446C23—1362no—
1447C23C2×D4×D1712yes—
1448C23C24×D1711yescharacteristic
1449Q8—684no—
1450Q8—1362no—
1451Q8—1362no—
1452Q8—1362no—
1453D4—82no—
1454D4—82no—
1455D4—82no—
1456D4—82no—
1457D4—82no—
1458D4—82no—
1459D4—684no—
1460D4—684no—
1461D4—1362no—
1462D4—1362no—
1463D4—1362no—
1464D4—1362no—
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—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—44no—
1497C2×C4—172no—
1498C2×C4—172no—
1499C2×C4—172no—
1500C2×C4—172no—
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—341no—
1528C2×C4—341no—
1529C2×C4—341no—
1530C2×C4—341no—
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—684no—
1540C2×C4—684no—
1541C2×C4—684no—
1542C2×C4—684no—
1543C2×C4—1362no—
1544C2×C4—1362no—
1545C2×C4C2×D4×D1712yes—
1546C2×C4C2×D4×D1712yes—
1547C22—22no—
1548C22—22no—
1549C22—22no—
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—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22—342no—
1576C22—342no—
1577C22—342no—
1578C22—681no—
1579C22—681no—
1580C22—681no—
1581C22—681no—
1582C22—681no—
1583C22—681no—
1584C22—681no—
1585C22—681no—
1586C22—681no—
1587C22—681no—
1588C22—681no—
1589C22—1368no—
1590C22C22×D4×D1711yescharacteristic
1591C22H(5,𝔽2)×D1711yescharacteristic
1592C22#1176364411yescharacteristic
1593C22#1176364411yescharacteristic
1594C22#1176364411yescharacteristic
1595C22#1176364511yescharacteristic
1596C22#1176364511yescharacteristic
1597C4—22no—
1598C4—22no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—342no—
1609C4—342no—
1610C4—342no—
1611C4—342no—
1612C4—681no—
1613C4—681no—
1614C4—681no—
1615C4—681no—
1616C4—681no—
1617C4—681no—
1618C4—681no—
1619C4—681no—
1620C4—681no—
1621C4—681no—
1622C2—42no—
1623C2—81no—
1624C2—81no—
1625C2—81no—
1626C2—682no—
1627C2—1361no—
1628C2#1454211111yescharacteristic
1629C2#1454254511yescharacteristic
1630C2#1454257611yescharacteristic
1631C2#1454294411yescharacteristic
1632C2#1454305511yescharacteristic
1633C2#1454345611yescharacteristic
1634C2#1454347711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D17
commutator, socle, cosocleC23×C17C25
FittingC17×#2661C2
hypercenter#2661D17
hypocenterC17#36745
LCSG ▷ C23×C17 ▷ C17
UCSC1 ◁ C23 ◁ #2661

Complements

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

NH ≅ G/Ntype
1. C2×#11763427C2semidirect
2. C2×#11763391C2semidirect
3. #14537113C2semidirect
4. #14537083C2semidirect
5. #14535702C2semidirect
6. #14535609C2semidirect
7. #14535588C2semidirect
8. #14535549C2semidirect
9. #14535375C2semidirect
10. #14535351C2semidirect
11. #14535333C2semidirect
12. #14535258C2semidirect
13. #14535219C2semidirect
14. #14535189C2semidirect
15. #14535174C2semidirect
16. #14535159C2semidirect
17. #14535078C2semidirect
18. #14535067C2semidirect
19. #14535009C2semidirect
20. #14534986C2semidirect
21. #14534932C2semidirect
22. #14534468C2semidirect
23. #14534420C2semidirect
24. #14534393C2semidirect
25. #14534378C2semidirect
26. #14534270C2semidirect
27. #14533940C2semidirect
28. #14532210C2semidirect
29. #14532166C2semidirect
30. #14531223C2semidirect
31. C17×#2661C2semidirect
34. C2×#10587574C22semidirect
38. C2×#10587565C22semidirect
41. C2×#10587622C22semidirect
48. C2×#10587610C22semidirect
51. C2×#10587564C22semidirect
52. C2×#10587564C22semidirect
60. C2×#10587573C22semidirect
64. C2×#10587563C22semidirect
66. C22×C4×Dic17C22semidirect
67. #11762751C22semidirect
68. #11762749C22semidirect
71. #11762740C22semidirect
76. #11762737C22semidirect
79. #11762734C22semidirect
80. #11762734C22semidirect
83. #11762732C22semidirect
85. #11762730C22semidirect
86. #11762730C22semidirect
87. #11762729C22semidirect
103. #11762721C22semidirect
104. #11762721C22semidirect
107. #11762714C22semidirect
108. #11762713C22semidirect
109. #11762713C22semidirect
110. #11762713C22semidirect
116. #11762707C22semidirect
117. #11762707C22semidirect
118. #11762706C22semidirect
119. #11762704C22semidirect
120. #11762704C22semidirect
124. #11762703C22semidirect
125. #11762703C22semidirect
126. #11762703C22semidirect
127. #11762703C22semidirect
128. #11762703C22semidirect
131. #11762702C22semidirect
139. #11762695C22semidirect
140. #11762695C22semidirect
141. #11762692C22semidirect
142. #11762691C22semidirect
143. #11762691C22semidirect
144. #11762691C22semidirect
148. #11762689C22semidirect
149. #11762689C22semidirect
150. #11762689C22semidirect
151. #11762689C22semidirect
152. #11762689C22semidirect
158. #11762684C22semidirect
159. #11762684C22semidirect
160. #11762681C22semidirect
161. #11762681C22semidirect
163. #11762674C22semidirect
166. #11762667C22semidirect
167. #11762667C22semidirect
171. C4×#63225C22semidirect
173. #11762655C22semidirect
174. C2×C17×#123C22semidirect
176. C17×#398C22semidirect
177. C17×#397C22semidirect
180. C17×#394C22semidirect
183. C17×#392C22semidirect
185. C17×#390C22semidirect
187. C17×#388C22semidirect
188. C4×C22⋊C4×C17C22semidirect
270. C4×C22⋊D17D4semidirect
751. #2661D17semidirect
852. C2×#123C2×D17semidirect
878. #398C2×D17semidirect
888. #397C2×D17semidirect
908. #394C2×D17semidirect
920. #392C2×D17semidirect
931. #390C2×D17semidirect
956. #388C2×D17semidirect
991. C4×C22⋊C4C2×D17semidirect
1196. C17#36745semidirect

Maximal subgroups

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

subgroupindex
C2×#117634272
C2×#117633912
#145371132
#145370832
#145357022
#145356092
#145355882
#145355492
#145353752
#145353512
#145353332
#145352582
#145352192
#145351892
#145351742
#145351592
#145350782
#145350672
#145350092
#145349862
#145349322
#145344682
#145344202
#145343932
#145343782
#145342702
#145339402
#145322102
#145321662
#145312232
C17×#26612
#3674517