Finite Group Databasebeta

← #17200741

Subgroups — #17200741

Order 4352.

2982 conjugacy classes of subgroups.

The subgroup lattice has 1774 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11763317C211yesmaximal, characteristic, complemented
2C2×C4×D4×D17C211yesmaximal, characteristic, complemented
3#14534708C211yesmaximal, characteristic, complemented
4#14534705C211yesmaximal, characteristic, complemented
5#14534675C211yesmaximal, characteristic, complemented
6#14534672C211yesmaximal, characteristic, complemented
7#14534625C211yesmaximal, characteristic, complemented
8#14534623C211yesmaximal, characteristic, complemented
9#14534621C211yesmaximal, characteristic, complemented
10#14534602C211yesmaximal, characteristic, complemented
11#14534594C211yesmaximal, characteristic, complemented
12#14534558C211yesmaximal, characteristic, complemented
13#14534556C211yesmaximal, characteristic, complemented
14#14534531C211yesmaximal, characteristic, complemented
15#14534523C211yesmaximal, characteristic, complemented
16#14534497C211yesmaximal, characteristic, complemented
17#14534495C211yesmaximal, characteristic, complemented
18#14532042C211yesmaximal, characteristic, complemented
19#14532040C211yesmaximal, characteristic, complemented
20#14532029C211yesmaximal, characteristic, complemented
21#14532029C211yesmaximal, characteristic, complemented
22#14532025C211yesmaximal, characteristic, complemented
23#14532023C211yesmaximal, characteristic, complemented
24#14531998C211yesmaximal, characteristic, complemented
25#14531996C211yesmaximal, characteristic, complemented
26#14531311C211yesmaximal, characteristic, complemented
27#14531305C211yesmaximal, characteristic, complemented
28#14531289C211yesmaximal, characteristic, complemented
29#14531285C211yesmaximal, characteristic, complemented
30#14531166C211yesmaximal, characteristic, complemented
31C17×#2630C211yesmaximal, characteristic, complemented
32C22×#63254C2211yescharacteristic, complemented
33C22×D4×D17C2211yescharacteristic
34C23×C4×D17C2211yescharacteristic
35C23×C4×D17C2211yescharacteristic
36#11763317—28no—
37C2×#10587580C2211yescharacteristic
38C2×#10587615C2211yescharacteristic, complemented
39C2×#10587569C2211yescharacteristic
40C2×#10587582C2211yescharacteristic
41C2×#10587582C2211yescharacteristic, complemented
42C2×#10587570C2211yescharacteristic
43C2×#10587570C2211yescharacteristic, complemented
44C2×#10587568C2211yescharacteristic
45C2×#10587568C2211yescharacteristic
46C2×#10587623C2211yescharacteristic
47C2×#10587623C2211yescharacteristic
48C2×C4×D68C2211yescharacteristic
49C2×D4×Dic17C2211yescharacteristic
50C2×D4×Dic17C2211yescharacteristic, complemented
51C2×#10587579C2211yescharacteristic
52C2×#10587579C2211yescharacteristic
53C2×#10587579C2211yescharacteristic, complemented
54C2×#10587579C2211yescharacteristic, complemented
55C2×C4×C22⋊D17C2211yescharacteristic
56C2×C4×C22⋊D17C2211yescharacteristic
57C2×#10587567C2211yescharacteristic
58C2×#10587567C2211yescharacteristic
59C2×#10587567C2211yescharacteristic
60C2×#10587567C2211yescharacteristic, complemented
61C2×#10587567C2211yescharacteristic, complemented
62C2×#10587567C2211yescharacteristic, complemented
63C4×D4×D17—28no—
64C2×#10587578C2211yescharacteristic, complemented
65C2×#10587578C2211yescharacteristic, complemented
66C2×#10587563C2211yescharacteristic, complemented
67C2×C4⋊C4×D17C2211yescharacteristic
68C2×C22⋊C4×D17C2211yescharacteristic
69C2×C22⋊C4×D17C2211yescharacteristic
70C2×C42×D17C2211yescharacteristic
71#11762751C2211yescharacteristic, complemented
72#11762750C2211yescharacteristic, complemented
73#11762745C2211yescharacteristic, complemented
74#11762744C2211yescharacteristic, complemented
75#11762743C2211yescharacteristic, complemented
76#11762742C2211yescharacteristic, complemented
77#11762742C2211yescharacteristic, complemented
78#11762742C2211yescharacteristic, complemented
79#11762739C2211yescharacteristic, complemented
80#11762738C2211yescharacteristic, complemented
81#11762738C2211yescharacteristic, complemented
82#11762738C2211yescharacteristic, complemented
83#11762737C2211yescharacteristic, complemented
84#11762737C2211yescharacteristic, complemented
85#11762737C2211yescharacteristic, complemented
86#11762736C2211yescharacteristic, complemented
87#11762735C2211yescharacteristic, complemented
88#11762734C2211yescharacteristic, complemented
89#11762732C2211yescharacteristic, complemented
90#11762732C2211yescharacteristic, complemented
91#11762731C2211yescharacteristic, complemented
92#11762731C2211yescharacteristic, complemented
93#11762731C2211yescharacteristic, complemented
94#11762731C2211yescharacteristic, complemented
95#11762730C2211yescharacteristic, complemented
96#11762729C2211yescharacteristic, complemented
97#11762727C2211yescharacteristic
98#11762727C2211yescharacteristic, complemented
99#11762726C2211yescharacteristic
100#11762726C2211yescharacteristic, complemented
101#11762726C2211yescharacteristic, complemented
102#11762725C2211yescharacteristic
103#11762725C2211yescharacteristic
104#11762725C2211yescharacteristic, complemented
105#11762725C2211yescharacteristic, complemented
106#11762725C2211yescharacteristic, complemented
107#11762725C2211yescharacteristic, complemented
108#11762725C2211yescharacteristic, complemented
109#11762724C2211yescharacteristic
110#11762724C2211yescharacteristic
111#11762724C2211yescharacteristic, complemented
112#11762724C2211yescharacteristic, complemented
113#11762724C2211yescharacteristic, complemented
114#11762723C2211yescharacteristic
115#11762723C2211yescharacteristic, complemented
116#11762722C2211yescharacteristic, complemented
117#11762721C2211yescharacteristic, complemented
118#11762719C2211yescharacteristic
119#11762718C2211yescharacteristic
120#11762718C2211yescharacteristic
121#11762718C2211yescharacteristic
122#11762718C2211yescharacteristic, complemented
123#11762717C2211yescharacteristic
124#11762717C2211yescharacteristic
125#11762717C2211yescharacteristic
126#11762717C2211yescharacteristic, complemented
127#11762701C2211yescharacteristic, complemented
128#11762700C2211yescharacteristic, complemented
129#11762697C2211yescharacteristic, complemented
130#11762694C2211yescharacteristic, complemented
131#11762693C2211yescharacteristic, complemented
132#11762690C2211yescharacteristic, complemented
133#11762688C2211yescharacteristic, complemented
134#11762687C2211yescharacteristic
135#11762687C2211yescharacteristic
136#11762687C2211yescharacteristic, complemented
137#11762685C2211yescharacteristic
138#11762685C2211yescharacteristic
139#11762685C2211yescharacteristic, complemented
140#11762683C2211yescharacteristic
141#11762683C2211yescharacteristic
142#11762683C2211yescharacteristic, complemented
143#11762682C2211yescharacteristic, complemented
144#11762680C2211yescharacteristic
145#11762680C2211yescharacteristic
146#11762680C2211yescharacteristic, complemented
147#11762671C2211yescharacteristic
148#11762671C2211yescharacteristic
149#11762671C2211yescharacteristic, complemented
150#11762671C2211yescharacteristic, complemented
151#11762669C2211yescharacteristic, complemented
152#11762666C2211yescharacteristic
153#11762666C2211yescharacteristic
154#11762664C2211yescharacteristic
155#11762664C2211yescharacteristic
156#11762664C2211yescharacteristic
157#11762664C2211yescharacteristic
158C4⋊C4×Dic17C2211yescharacteristic, complemented
159C4⋊C4×Dic17C2211yescharacteristic, complemented
160#11762660C2211yescharacteristic, complemented
161#11762660C2211yescharacteristic, complemented
162C22⋊C4×Dic17C2211yescharacteristic, complemented
163C22⋊C4×Dic17C2211yescharacteristic, complemented
164C22⋊C4×Dic17C2211yescharacteristic, complemented
165C22⋊C4×Dic17C2211yescharacteristic, complemented
166C22⋊C4×Dic17C2211yescharacteristic, complemented
167C22⋊C4×Dic17C2211yescharacteristic, complemented
168#11762656C2211yescharacteristic
169#11762656C2211yescharacteristic
170#11762656C2211yescharacteristic, complemented
171#11762656C2211yescharacteristic, complemented
172#11762656C2211yescharacteristic, complemented
173#11762656C2211yescharacteristic, complemented
174C2×C17×#123C2211yescharacteristic, complemented
175C2×C4×D4×C17C2211yescharacteristic
176C17×#398C2211yescharacteristic, complemented
177C17×#397C2211yescharacteristic, complemented
178C17×#396C2211yescharacteristic, complemented
179C17×#396C2211yescharacteristic, complemented
180C17×#394C2211yescharacteristic
181C17×#394C2211yescharacteristic, complemented
182C17×#394C2211yescharacteristic, complemented
183C17×#392C2211yescharacteristic
184C17×#388C2211yescharacteristic, complemented
185C17×#387C2211yescharacteristic, complemented
186C17×#386C2211yescharacteristic, complemented
187C17×#385C2211yescharacteristic, complemented
188C17×#380C2211yescharacteristic, complemented
189C24×D17C2311yescharacteristic
190C24×D17C2311yescharacteristic
191C22×D4×C17C2311yescharacteristic
192C22×D4×C17C2311yescharacteristic
193C22×D4×C17C2311yescharacteristic
194C23×C4×C17C2311yescharacteristic
195C23×C4×C17C2311yescharacteristic
196C22×C22⋊D17C2311yescharacteristic
197C22×C22⋊D17C2311yescharacteristic
198C22×C22⋊D17C2311yescharacteristic
199C22×C22⋊D17C2311yescharacteristic
200C22×C22⋊D17C2311yescharacteristic
201C22×C22⋊D17C2311yescharacteristic
202C22×C22⋊D17C2311yescharacteristic
203C22×C22⋊D17C2311yescharacteristic
204C23×Dic17C2311yescharacteristic
205C23×Dic17C2311yescharacteristic
206C23×Dic17C2311yescharacteristic
207C2×#63254—24no—
208C2×#63254—42no—
209C2×#63254—42no—
210C2×D4×D17—24no—
211C2×D4×D17—24no—
212C2×D4×D17—24no—
213C22×D68C2311yescharacteristic
214C22×D68C2311yescharacteristic
215C22×D68C2311yescharacteristic
216C22×D68C2311yescharacteristic
217C22×C4×D17—24no—
218C22×C4×D17—42no—
219C22×C4×D17—42no—
220C22×C4×D17—42no—
221C22×C4×D17—42no—
222C22×C4×D17D418yescomplemented
223C22×C4×D17C2311yescharacteristic
224C22×C4×D17C2311yescharacteristic
225C22×C4×D17C2311yescharacteristic
226C22×C4×D17C2311yescharacteristic
227C22×C4×D17C2311yescharacteristic
228C22×C4×D17C2311yescharacteristic
229C22×C4×D17C2311yescharacteristic
230C22×C4×D17C2311yescharacteristic
231C22×C4×D17C2311yescharacteristic
232C22×C4×D17C2311yescharacteristic
233C22×Dic34C2311yescharacteristic
234C17×#123—24no—
235C4×D4×C17—24no—
236C2×C4⋊C4×C17C2311yescharacteristic
237C2×C4⋊C4×C17C2311yescharacteristic
238C2×C4⋊C4×C17C2311yescharacteristic
239C2×C4⋊C4×C17C2311yescharacteristic
240C2×C4⋊C4×C17C2311yescharacteristic
241C2×C4⋊C4×C17C2311yescharacteristic
242C2×C4⋊C4×C17C2311yescharacteristic
243C2×C4⋊C4×C17C2311yescharacteristic
244C2×C22⋊C4×C17C2311yescharacteristic
245C2×C22⋊C4×C17C2311yescharacteristic
246C2×C22⋊C4×C17C2311yescharacteristic
247C2×C22⋊C4×C17C2311yescharacteristic
248C2×C22⋊C4×C17C2311yescharacteristic
249C2×C22⋊C4×C17C2311yescharacteristic
250C2×C22⋊C4×C17C2311yescharacteristic
251C2×C22⋊C4×C17C2311yescharacteristic
252C2×C22⋊C4×C17C2311yescharacteristic
253C2×C22⋊C4×C17C2311yescharacteristic
254C2×C22⋊C4×C17C2311yescharacteristic
255C2×C22⋊C4×C17C2311yescharacteristic
256C2×C22⋊C4×C17C2311yescharacteristic
257C2×C42×C17C2311yescharacteristic
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
269#10587623—24no—
270#10587623—24no—
271D4×Dic17—24no—
272D4×Dic17—42no—
273#10587615—24no—
274C4×C22⋊D17—24no—
275C4×C22⋊D17—24no—
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×#63227C2311yescharacteristic
292C2×#63227C2311yescharacteristic
293C2×#63227C2311yescharacteristic
294C2×#63227C2311yescharacteristic
295C2×#63227C2311yescharacteristic
296C2×#63227C2311yescharacteristic
297C2×#63227C2311yescharacteristic
298C2×#63227C2311yescharacteristic
299C2×#63227C2311yescharacteristic
300C2×#63227C2311yescharacteristic
301C2×#63227C2311yescharacteristic
302C2×#63227C2311yescharacteristic
303C2×#63227C2311yescharacteristic
304C2×#63227C2311yescharacteristic
305C2×#63227C2311yescharacteristic
306C2×C4⋊Dic17C2311yescharacteristic
307C2×C4⋊Dic17C2311yescharacteristic
308C2×C4⋊Dic17C2311yescharacteristic
309C2×C4⋊Dic17C2311yescharacteristic
310C2×C4⋊Dic17C2311yescharacteristic
311C2×C4⋊Dic17C2311yescharacteristic
312C2×#63225C2311yescharacteristic
313C2×#63225C2311yescharacteristic
314C2×#63225C2311yescharacteristic
315C2×#63225C2311yescharacteristic
316C2×#63225C2311yescharacteristic
317C2×#63225C2311yescharacteristic
318C2×#63225C2311yescharacteristic
319C2×#63225C2311yescharacteristic
320C2×#63225C2311yescharacteristic
321C2×#63225C2311yescharacteristic
322C2×#63225C2311yescharacteristic
323C2×#63225C2311yescharacteristic
324C2×C4×Dic17C2311yescharacteristic
325C2×C4×Dic17C2311yescharacteristic
326C2×C4×Dic17C2311yescharacteristic
327C2×C4×Dic17C2311yescharacteristic
328C2×C4×Dic17C2311yescharacteristic
329C2×C4×Dic17C2311yescharacteristic
330C2×C4×Dic17C2311yescharacteristic
331C2×C4×Dic17C2311yescharacteristic
332C2×C4×Dic17C2311yescharacteristic
333#10587582—24no—
334#10587582—24no—
335#10587580—24no—
336#10587579—24no—
337#10587579—24no—
338#10587579—24no—
339#10587579—42no—
340#10587578—42no—
341#10587578—42no—
342C4⋊C4×D17—24no—
343#10587570—24no—
344#10587570—24no—
345#10587569—24no—
346#10587568—24no—
347#10587568—24no—
348#10587567—24no—
349#10587567—24no—
350#10587567—24no—
351#10587567—24no—
352#10587567—42no—
353#10587567—42no—
354C22⋊C4×D17—24no—
355C22⋊C4×D17—24no—
356#10587563—24no—
357C4×D68—24no—
358C42×D17—24no—
359C17×#95C2311yescharacteristic
360C17×#95C2311yescharacteristic
361C17×#95C2311yescharacteristic
362C17×#95C2311yescharacteristic
363C17×#95C2311yescharacteristic
364C17×#95C2311yescharacteristic
365C17×#95C2311yescharacteristic
366C17×#95C2311yescharacteristic
367#10587502C2311yescharacteristic
368#10587502C2311yescharacteristic
369#10587502C2311yescharacteristic
370#10587502C2311yescharacteristic
371#10587502C2311yescharacteristic
372#10587502C2311yescharacteristic
373#10587502C2311yescharacteristic
374#10587502C2311yescharacteristic
375#10587502C2311yescharacteristic
376#10587502C2311yescharacteristic
377#10587502C2311yescharacteristic
378#10587502C2311yescharacteristic
379#10587502C2311yescharacteristic
380#10587502C2311yescharacteristic
381#10587502C2311yescharacteristic
382#10587502C2311yescharacteristic
383#10587502C2311yescharacteristic
384#10587502C2311yescharacteristic
385#10587502C2311yescharacteristic
386#10587502C2311yescharacteristic
387#10587502C2311yescharacteristic
388#10587502C2311yescharacteristic
389#10587502C2311yescharacteristic
390#10587502C2311yescharacteristic
391C24×C17C2411yescharacteristic
392C24×C17C2411yescharacteristic
393C24×C17C2411yescharacteristic
394C23×D17—22no—
395C23×D17—22no—
396C23×D17—22no—
397C23×D17—22no—
398C23×D17—41no—
399C23×D17—41no—
400C23×D17—41no—
401C23×D17—41no—
402C23×D17—41no—
403C23×D17—41no—
404C23×D17—41no—
405C23×D17—41no—
406C23×D17C2×D414yes—
407C23×D17#4114yescomplemented
408C23×D17C2411yescharacteristic
409C23×D17C2411yescharacteristic
410C23×D17C2411yescharacteristic
411C23×D17C2411yescharacteristic
412C2×D4×C17—22no—
413C2×D4×C17—22no—
414C2×D4×C17—22no—
415C2×D4×C17—22no—
416C2×D4×C17—22no—
417C2×D4×C17—41no—
418C2×D4×C17—41no—
419C2×D4×C17—41no—
420C2×D4×C17—41no—
421C22×C4×C17—22no—
422C22×C4×C17—41no—
423C22×C4×C17—41no—
424C22×C4×C17—41no—
425C22×C4×C17—41no—
426C22×C4×C17C2×D414yes—
427C22×C4×C17C2411yescharacteristic
428C22×C4×C17C2411yescharacteristic
429C22×C4×C17C2411yescharacteristic
430C22×C4×C17C2411yescharacteristic
431C22×C4×C17C2411yescharacteristic
432C22×C4×C17C2411yescharacteristic
433C22×C4×C17C2411yescharacteristic
434C22×C4×C17C2411yescharacteristic
435C22×C4×C17C2411yescharacteristic
436C22×C4×C17C2411yescharacteristic
437C22×C4×C17C2411yescharacteristic
438C22×C4×C17C2411yescharacteristic
439C2×C22⋊D17—22no—
440C2×C22⋊D17—22no—
441C2×C22⋊D17—22no—
442C2×C22⋊D17—22no—
443C2×C22⋊D17—22no—
444C2×C22⋊D17—22no—
445C2×C22⋊D17—22no—
446C2×C22⋊D17—22no—
447C2×C22⋊D17—22no—
448C2×C22⋊D17—22no—
449C2×C22⋊D17—22no—
450C2×C22⋊D17—22no—
451C2×C22⋊D17—22no—
452C2×C22⋊D17—22no—
453C2×C22⋊D17—41no—
454C2×C22⋊D17—41no—
455C2×C22⋊D17—41no—
456C2×C22⋊D17—41no—
457C2×C22⋊D17—41no—
458C2×C22⋊D17—41no—
459C2×C22⋊D17—41no—
460C2×C22⋊D17—41no—
461C2×C22⋊D17—41no—
462C2×C22⋊D17—41no—
463C22×Dic17—22no—
464C22×Dic17—22no—
465C22×Dic17—22no—
466C22×Dic17—22no—
467C22×Dic17—22no—
468C22×Dic17—22no—
469C22×Dic17—22no—
470C22×Dic17—22no—
471C22×Dic17C2×D414yes—
472C22×Dic17C2411yescharacteristic
473C22×Dic17C2411yescharacteristic
474C22×Dic17C2411yescharacteristic
475C22×Dic17C2411yescharacteristic
476C22×Dic17C2411yescharacteristic
477C22×Dic17C2411yescharacteristic
478C22×Dic17C2411yescharacteristic
479C22×Dic17C2411yescharacteristic
480C22×Dic17C2411yescharacteristic
481C22×Dic17C2411yescharacteristic
482C22×Dic17C2411yescharacteristic
483C22×Dic17C2411yescharacteristic
484#63254—416no—
485D4×D17—232no—
486C2×D68—22no—
487C2×D68—22no—
488C2×D68—22no—
489C2×D68—22no—
490C2×D68—22no—
491C2×D68—22no—
492C2×D68—22no—
493C2×D68—22no—
494C2×D68—41no—
495C2×D68—41no—
496C2×D68—41no—
497C2×D68—41no—
498C2×C4×D17—22no—
499C2×C4×D17—22no—
500C2×C4×D17—22no—
501C2×C4×D17—22no—
502C2×C4×D17—22no—
503C2×C4×D17—22no—
504C2×C4×D17—22no—
505C2×C4×D17—22no—
506C2×C4×D17—22no—
507C2×C4×D17—22no—
508C2×C4×D17—22no—
509C2×C4×D17—22no—
510C2×C4×D17—22no—
511C2×C4×D17—22no—
512C2×C4×D17—22no—
513C2×C4×D17—416no—
514C2×C4×D17—416no—
515C2×C4×D17—41no—
516C2×C4×D17—41no—
517C2×C4×D17—41no—
518C2×C4×D17—41no—
519C2×C4×D17—41no—
520C2×C4×D17—41no—
521C2×C4×D17—41no—
522C2×C4×D17—41no—
523C2×C4×D17—41no—
524C2×C4×D17—41no—
525C2×C4×D17C2×D414yes—
526C2×C4×D17C2×D414yes—
527C2×C4×D17C2×D414yes—
528C2×C4×D17C2×D414yes—
529C2×C4×D17#4114yescomplemented
530C2×Dic34—22no—
531C2×Dic34—41no—
532C2×Dic34—41no—
533C4⋊C4×C17—22no—
534C4⋊C4×C17—22no—
535C4⋊C4×C17—22no—
536C4⋊C4×C17—22no—
537C4⋊C4×C17—41no—
538C4⋊C4×C17—41no—
539C4⋊C4×C17—41no—
540C4⋊C4×C17—41no—
541C22⋊C4×C17—22no—
542C22⋊C4×C17—22no—
543C22⋊C4×C17—22no—
544C22⋊C4×C17—22no—
545C22⋊C4×C17—22no—
546C22⋊C4×C17—22no—
547C22⋊C4×C17—22no—
548C22⋊C4×C17—41no—
549C22⋊C4×C17—41no—
550C22⋊C4×C17—41no—
551C22⋊C4×C17—41no—
552C22⋊C4×C17—41no—
553C22⋊C4×C17—41no—
554C42×C17—22no—
555C22⋊Dic17—22no—
556C22⋊Dic17—22no—
557C22⋊Dic17—22no—
558C22⋊Dic17—22no—
559C22⋊Dic17—22no—
560C22⋊Dic17—41no—
561C22⋊Dic17—41no—
562C22⋊Dic17—41no—
563C22⋊Dic17—41no—
564C22⋊Dic17—41no—
565C22⋊Dic17—41no—
566#63227—22no—
567#63227—22no—
568#63227—22no—
569#63227—22no—
570#63227—22no—
571#63227—22no—
572#63227—22no—
573#63227—22no—
574#63227—22no—
575#63227—22no—
576#63227—22no—
577#63227—22no—
578#63227—22no—
579#63227—22no—
580#63227—22no—
581#63227—22no—
582#63227—22no—
583#63227—22no—
584#63227—41no—
585#63227—41no—
586#63227—41no—
587#63227—41no—
588#63227—41no—
589#63227—41no—
590#63227—41no—
591#63227—41no—
592#63227—41no—
593#63227—41no—
594#63227—41no—
595#63227—41no—
596C4⋊Dic17—22no—
597C4⋊Dic17—22no—
598C4⋊Dic17—41no—
599C4⋊Dic17—41no—
600C4⋊Dic17—41no—
601C4⋊Dic17—41no—
602#63225—22no—
603#63225—22no—
604#63225—22no—
605#63225—22no—
606#63225—22no—
607#63225—22no—
608#63225—22no—
609#63225—22no—
610#63225—41no—
611#63225—41no—
612#63225—41no—
613#63225—41no—
614C4×Dic17—22no—
615C4×Dic17—22no—
616C4×Dic17—22no—
617C4×Dic17—22no—
618C4×Dic17—22no—
619C4×Dic17—22no—
620C4×Dic17—22no—
621C4×Dic17—22no—
622C4×Dic17—22no—
623#34562—171nomaximal, Sylow
624C23×C17—21no—
625C23×C17—21no—
626C23×C17—21no—
627C23×C17—21no—
628C23×C17—21no—
629C23×C17—21no—
630C23×C17—21no—
631C23×C17—21no—
632C23×C17—21no—
633C23×C17—21no—
634C23×C17—21no—
635C23×C17—21no—
636C23×C17—21no—
637C23×C17—21no—
638C23×C17—21no—
639C23×C17—21no—
640C23×C17—21no—
641C23×C17—21no—
642C23×C17—21no—
643C23×C17C22×D412yes—
644C23×C17C2×#4112yes—
645C23×C17C2511yescharacteristic
646C22×D17—21no—
647C22×D17—21no—
648C22×D17—21no—
649C22×D17—21no—
650C22×D17—21no—
651C22×D17—21no—
652C22×D17—21no—
653C22×D17—21no—
654C22×D17—21no—
655C22×D17—21no—
656C22×D17—21no—
657C22×D17—21no—
658C22×D17—21no—
659C22×D17—21no—
660C22×D17—21no—
661C22×D17—21no—
662C22×D17—28no—
663C22×D17—28no—
664C22×D17—21no—
665C22×D17—21no—
666C22×D17—21no—
667C22×D17—21no—
668C22×D17—21no—
669C22×D17—21no—
670C22×D17—21no—
671C22×D17—44no—
672C22×D17—44no—
673C22×D17—44no—
674C22×D17—44no—
675C22×D17—44no—
676C22×D17—44no—
677C22×D17—44no—
678C22×D17—44no—
679C22×D17—44no—
680C22×D17—44no—
681C22×D17—44no—
682C22×D17—44no—
683C22×D17C22×D412yes—
684C22×D17C22×D412yes—
685C22×D17C2×#4112yes—
686C22×D17C2×#4112yes—
687C22×D17C2×#4112yes—
688D4×C17—28no—
689D4×C17—44no—
690D4×C17—44no—
691C2×C4×C17—21no—
692C2×C4×C17—21no—
693C2×C4×C17—21no—
694C2×C4×C17—21no—
695C2×C4×C17—21no—
696C2×C4×C17—21no—
697C2×C4×C17—21no—
698C2×C4×C17—21no—
699C2×C4×C17—21no—
700C2×C4×C17—21no—
701C2×C4×C17—21no—
702C2×C4×C17—21no—
703C2×C4×C17—21no—
704C2×C4×C17—21no—
705C2×C4×C17—21no—
706C2×C4×C17—21no—
707C2×C4×C17—21no—
708C2×C4×C17—21no—
709C2×C4×C17—21no—
710C2×C4×C17—21no—
711C2×C4×C17—21no—
712C2×C4×C17—21no—
713C2×C4×C17—21no—
714C2×C4×C17—21no—
715C2×C4×C17—21no—
716C2×C4×C17—21no—
717C2×C4×C17—21no—
718C2×C4×C17—21no—
719C2×C4×C17—21no—
720C2×C4×C17—21no—
721C2×C4×C17—21no—
722C2×C4×C17—21no—
723C2×C4×C17—21no—
724C2×C4×C17—44no—
725C2×C4×C17—44no—
726C2×C4×C17C22×D412yes—
727C2×C4×C17C22×D412yes—
728C2×C4×C17C2×#4112yes—
729C22⋊D17—28no—
730C22⋊D17—28no—
731C22⋊D17—44no—
732C22⋊D17—44no—
733C22⋊D17—44no—
734C22⋊D17—44no—
735C22⋊D17—44no—
736C22⋊D17—44no—
737C2×Dic17—21no—
738C2×Dic17—21no—
739C2×Dic17—21no—
740C2×Dic17—21no—
741C2×Dic17—28no—
742C2×Dic17—21no—
743C2×Dic17—21no—
744C2×Dic17—21no—
745C2×Dic17—21no—
746C2×Dic17—21no—
747C2×Dic17—21no—
748C2×Dic17—21no—
749C2×Dic17—21no—
750C2×Dic17—21no—
751C2×Dic17—21no—
752C2×Dic17—21no—
753C2×Dic17—21no—
754C2×Dic17—21no—
755C2×Dic17—21no—
756C2×Dic17—21no—
757C2×Dic17—21no—
758C2×Dic17—21no—
759C2×Dic17—21no—
760C2×Dic17—21no—
761C2×Dic17—21no—
762C2×Dic17—21no—
763C2×Dic17—21no—
764C2×Dic17—21no—
765C2×Dic17—21no—
766C2×Dic17—21no—
767C2×Dic17—21no—
768C2×Dic17—21no—
769C2×Dic17—44no—
770C2×Dic17—44no—
771C2×Dic17C22×D412yes—
772C2×Dic17C22×D412yes—
773C2×Dic17C2×#4112yes—
774C2×Dic17H(5,𝔽2)12yes—
775C2×Dic17H(5,𝔽2)12yes—
776D68—28no—
777D68—44no—
778D68—44no—
779D68—44no—
780C4×D17—28no—
781C4×D17—28no—
782C4×D17—28no—
783C4×D17—44no—
784C4×D17—44no—
785C4×D17—44no—
786C4×D17—44no—
787C4×D17—44no—
788C4×D17—44no—
789C4×D17—44no—
790Dic34—44no—
791C2×#525—171no—
792C22×C4×D4—171no—
793#2638—171no—
794#2638—171no—
795#2635—171no—
796#2635—171no—
797#2630—171no—
798#2630—171no—
799#2630—171no—
800#2630D1711yescharacteristic, complemented
801#2627—171no—
802#2626—171no—
803#2622—171no—
804#2622—171no—
805#2618—171no—
806#2617—171no—
807#2613—171no—
808#2613—171no—
809#2395—171no—
810#2395—171no—
811#2392—171no—
812#2392—171no—
813#2392—171no—
814#2392—171no—
815#2388—171no—
816#2388—171no—
817C4×#123—171no—
818C4×#123—171no—
819C4×#120—171no—
820C4×#120—171no—
821#2280—171no—
822C22×C17—22no—
823C22×C17—22no—
824C22×C17—22no—
825C22×C17—22no—
826C22×C17—22no—
827C22×C17—22no—
828C22×C17—41no—
829C22×C17—41no—
830C22×C17—41no—
831C22×C17—41no—
832C22×C17—41no—
833C22×C17—41no—
834C22×C17—41no—
835C22×C17—41no—
836C22×C17—41no—
837C22×C17—41no—
838C22×C17—41no—
839C22×C17—41no—
840C22×C17—41no—
841C22×C17—41no—
842C22×C17—41no—
843C22×C17C23×D411yescharacteristic
844C22×C17C22×#4111yescharacteristic
845C22×C17C22×#4111yescharacteristic
846C22×C17C2×H(5,𝔽2)11yescharacteristic
847C22×C17C2×H(5,𝔽2)11yescharacteristic
848C22×C17#58511yescharacteristic
849C22×C17#58511yescharacteristic
850C2×D17—22no—
851C2×D17—22no—
852C2×D17—22no—
853C2×D17—22no—
854C2×D17—22no—
855C2×D17—22no—
856C2×D17—22no—
857C2×D17—22no—
858C2×D17—22no—
859C2×D17—22no—
860C2×D17—22no—
861C2×D17—22no—
862C2×D17—416no—
863C2×D17—416no—
864C2×D17—41no—
865C2×D17—41no—
866C2×D17—41no—
867C2×D17—41no—
868C2×D17—41no—
869C2×D17—41no—
870C2×D17—41no—
871C2×D17—41no—
872C2×D17—41no—
873C2×D17—41no—
874C2×D17—41no—
875C2×D17—41no—
876C2×D17—41no—
877C2×D17—41no—
878C2×D17—41no—
879C2×D17#52514yes—
880C4×C17—22no—
881C4×C17—22no—
882C4×C17—22no—
883C4×C17—41no—
884C4×C17—41no—
885C4×C17—41no—
886C4×C17—41no—
887C4×C17—41no—
888C4×C17—41no—
889C4×C17—41no—
890C4×C17—41no—
891C4×C17—41no—
892Dic17—22no—
893Dic17—22no—
894Dic17—41no—
895Dic17—41no—
896Dic17—41no—
897Dic17—41no—
898Dic17—41no—
899Dic17—41no—
900Dic17—41no—
901Dic17—41no—
902Dic17—41no—
903Dic17#53414yes—
904C22×#41—171no—
905C23×D4—171no—
906C24×C4—171no—
907C24×C4—171no—
908#525—348no—
909C2×#123—171no—
910C2×#123—171no—
911C2×#123—171no—
912C2×#123C2×D1711yescharacteristic, complemented
913C2×C22⋊Q8—171no—
914C2×C22⋊Q8—171no—
915C2×#121—171no—
916C2×#121—171no—
917C2×#120—171no—
918C2×#120—171no—
919C2×#120—171no—
920C2×#120—171no—
921C2×C4×D4—171no—
922C2×C4×D4—171no—
923C2×C4×D4—171no—
924C2×C4×D4—171no—
925C2×C4×D4—171no—
926C2×C4×D4—171no—
927C2×C4×D4—171no—
928C2×C4×D4—171no—
929C2×C4×D4—171no—
930C2×C4×D4—171no—
931C2×C4×D4—171no—
932C2×C4×D4—171no—
933C2×C4×D4—171no—
934C2×C4×D4—171no—
935C2×C4×D4—171no—
936C2×C4×D4—348no—
937C2×C4×D4C2×D1711yescharacteristic
938C2×#117—171no—
939C2×#117—171no—
940C2×#117—171no—
941C22×C4⋊C4—171no—
942C22×C22⋊C4—171no—
943C22×C22⋊C4—171no—
944C22×C42—171no—
945#400—171no—
946#400—171no—
947#399—171no—
948#399—171no—
949#398—171no—
950#398—171no—
951#398—171no—
952#398—171no—
953#398—171no—
954#398C2×D1711yescharacteristic, complemented
955#397—171no—
956#397—171no—
957#397—171no—
958#397—171no—
959#397—171no—
960#397—171no—
961#397—171no—
962#397—171no—
963#397—171no—
964#397C2×D1711yescharacteristic, complemented
965#396—171no—
966#396—171no—
967#396—171no—
968#396—171no—
969#396—171no—
970#396—171no—
971#396C2×D1711yescharacteristic, complemented
972#396C2×D1711yescharacteristic, complemented
973#395—171no—
974#395—171no—
975#394—171no—
976#394—171no—
977#394—171no—
978#394—171no—
979#394—171no—
980#394—171no—
981#394—171no—
982#394—171no—
983#394—171no—
984#394—171no—
985#394—171no—
986#394—171no—
987#394—171no—
988#394—171no—
989#394—171no—
990#394—171no—
991#394—171no—
992#394—171no—
993#394—171no—
994#394C2×D1711yescharacteristic
995#394C2×D1711yescharacteristic, complemented
996#394C2×D1711yescharacteristic, complemented
997#393—171no—
998#393—171no—
999#392—171no—
1000#392—171no—
1001#392—171no—
1002#392—171no—
1003#392—171no—
1004#392—171no—
1005#392—171no—
1006#392—171no—
1007#392—171no—
1008#392C2×D1711yescharacteristic
1009#388—171no—
1010#388—171no—
1011#388—171no—
1012#388C2×D1711yescharacteristic, complemented
1013#387—171no—
1014#387—171no—
1015#387—171no—
1016#387C2×D1711yescharacteristic, complemented
1017#386—171no—
1018#386—171no—
1019#386—171no—
1020#386—171no—
1021#386—171no—
1022#386—171no—
1023#386—171no—
1024#386C2×D1711yescharacteristic, complemented
1025#385—171no—
1026#385—171no—
1027#385—171no—
1028#385—171no—
1029#385—171no—
1030#385—171no—
1031#385—171no—
1032#385C2×D1711yescharacteristic, complemented
1033#381—171no—
1034#381—171no—
1035#381—171no—
1036#381—171no—
1037#380—171no—
1038#380—171no—
1039#380—171no—
1040#380C2×D1711yescharacteristic, complemented
1041#379—171no—
1042#379—171no—
1043#379—171no—
1044#379—171no—
1045C4×C4⋊C4—171no—
1046C4×C4⋊C4—171no—
1047C4×C4⋊C4—171no—
1048C4×C4⋊C4—171no—
1049C4×C22⋊C4—171no—
1050C4×C22⋊C4—171no—
1051C4×C22⋊C4—171no—
1052C4×C22⋊C4—171no—
1053C4×C22⋊C4—171no—
1054C4×C22⋊C4—171no—
1055C4×C22⋊C4—171no—
1056C4×C22⋊C4—171no—
1057C4×C22⋊C4—171no—
1058C4×C22⋊C4—171no—
1059C4×C22⋊C4—171no—
1060C4×C22⋊C4—171no—
1061C2×C17—42no—
1062C2×C17—42no—
1063C2×C17—81no—
1064C2×C17C2×#52511yescharacteristic
1065C2×C17C2×#53411yescharacteristic
1066C2×C17#344911yescharacteristic
1067C2×C17#345911yescharacteristic
1068C2×C17#345911yescharacteristic
1069C2×C17#346011yescharacteristic
1070C2×C17#346011yescharacteristic
1071D17—24no—
1072D17—42no—
1073D17—42no—
1074D17—81no—
1075C25—171no—
1076C25—171no—
1077C2×#41—344no—
1078C2×#41—682no—
1079C2×#41—682no—
1080C22×Q8—171no—
1081C22×D4—171no—
1082C22×D4—171no—
1083C22×D4—171no—
1084C22×D4—171no—
1085C22×D4—171no—
1086C22×D4—171no—
1087C22×D4—171no—
1088C22×D4—171no—
1089C22×D4—171no—
1090C22×D4—171no—
1091C22×D4—171no—
1092C22×D4—171no—
1093C22×D4—344no—
1094C22×D4—344no—
1095C22×D4—344no—
1096C22×D4C22×D1711yescharacteristic
1097C22×D4C22×D1711yescharacteristic
1098C22×D4C22×D1711yescharacteristic
1099C23×C4—171no—
1100C23×C4—171no—
1101C23×C4—171no—
1102C23×C4—171no—
1103C23×C4—178no—
1104C23×C4—171no—
1105C23×C4—171no—
1106C23×C4—171no—
1107C23×C4—171no—
1108C23×C4—171no—
1109C23×C4—171no—
1110C23×C4—171no—
1111C23×C4—171no—
1112C23×C4—171no—
1113C23×C4—344no—
1114C23×C4—682no—
1115C23×C4—682no—
1116C23×C4—682no—
1117C23×C4—682no—
1118C23×C4C22×D1711yescharacteristic
1119C23×C4C22×D1711yescharacteristic
1120#123—24no—
1121#123—344no—
1122#123—344no—
1123#123—344no—
1124C22⋊Q8—344no—
1125C22⋊Q8—344no—
1126#121—344no—
1127#121—344no—
1128#120—344no—
1129#120—344no—
1130#120—344no—
1131#120—344no—
1132C4×D4—24no—
1133C4×D4—344no—
1134C4×D4—344no—
1135C4×D4—344no—
1136C4×D4—344no—
1137C4×D4—344no—
1138C4×D4—344no—
1139C4×D4—344no—
1140C4×D4—344no—
1141C4×D4—344no—
1142C4×D4—344no—
1143C4×D4—344no—
1144C4×D4—682no—
1145C4×D4—682no—
1146C4×D4—682no—
1147C4×D4—682no—
1148#117—344no—
1149#117—682no—
1150#117—682no—
1151C2×C4⋊C4—171no—
1152C2×C4⋊C4—171no—
1153C2×C4⋊C4—171no—
1154C2×C4⋊C4—171no—
1155C2×C4⋊C4—171no—
1156C2×C4⋊C4—171no—
1157C2×C4⋊C4—171no—
1158C2×C4⋊C4—171no—
1159C2×C4⋊C4—171no—
1160C2×C4⋊C4—171no—
1161C2×C4⋊C4—171no—
1162C2×C4⋊C4—171no—
1163C2×C4⋊C4—171no—
1164C2×C4⋊C4—171no—
1165C2×C4⋊C4—171no—
1166C2×C4⋊C4—171no—
1167C2×C4⋊C4—171no—
1168C2×C4⋊C4—171no—
1169C2×C4⋊C4—344no—
1170C2×C4⋊C4C22×D1711yescharacteristic
1171C2×C4⋊C4C22×D1711yescharacteristic
1172C2×C4⋊C4C22×D1711yescharacteristic
1173C2×C4⋊C4C22×D1711yescharacteristic
1174C2×C4⋊C4C22×D1711yescharacteristic
1175C2×C4⋊C4C22×D1711yescharacteristic
1176C2×C4⋊C4C22×D1711yescharacteristic
1177C2×C4⋊C4C22×D1711yescharacteristic
1178C2×C22⋊C4—171no—
1179C2×C22⋊C4—171no—
1180C2×C22⋊C4—171no—
1181C2×C22⋊C4—171no—
1182C2×C22⋊C4—171no—
1183C2×C22⋊C4—171no—
1184C2×C22⋊C4—171no—
1185C2×C22⋊C4—171no—
1186C2×C22⋊C4—171no—
1187C2×C22⋊C4—171no—
1188C2×C22⋊C4—171no—
1189C2×C22⋊C4—171no—
1190C2×C22⋊C4—171no—
1191C2×C22⋊C4—171no—
1192C2×C22⋊C4—171no—
1193C2×C22⋊C4—171no—
1194C2×C22⋊C4—171no—
1195C2×C22⋊C4—171no—
1196C2×C22⋊C4—171no—
1197C2×C22⋊C4—171no—
1198C2×C22⋊C4—171no—
1199C2×C22⋊C4—171no—
1200C2×C22⋊C4—171no—
1201C2×C22⋊C4—171no—
1202C2×C22⋊C4—171no—
1203C2×C22⋊C4—171no—
1204C2×C22⋊C4—171no—
1205C2×C22⋊C4—171no—
1206C2×C22⋊C4—171no—
1207C2×C22⋊C4—171no—
1208C2×C22⋊C4—171no—
1209C2×C22⋊C4—171no—
1210C2×C22⋊C4—171no—
1211C2×C22⋊C4—171no—
1212C2×C22⋊C4—171no—
1213C2×C22⋊C4—171no—
1214C2×C22⋊C4—171no—
1215C2×C22⋊C4—171no—
1216C2×C22⋊C4—171no—
1217C2×C22⋊C4—171no—
1218C2×C22⋊C4—171no—
1219C2×C22⋊C4—344no—
1220C2×C22⋊C4—344no—
1221C2×C22⋊C4C22×D1711yescharacteristic
1222C2×C22⋊C4C22×D1711yescharacteristic
1223C2×C22⋊C4C22×D1711yescharacteristic
1224C2×C22⋊C4C22×D1711yescharacteristic
1225C2×C22⋊C4C22×D1711yescharacteristic
1226C2×C22⋊C4C22×D1711yescharacteristic
1227C2×C22⋊C4C22×D1711yescharacteristic
1228C2×C22⋊C4C22×D1711yescharacteristic
1229C2×C22⋊C4C22×D1711yescharacteristic
1230C2×C22⋊C4C22×D1711yescharacteristic
1231C2×C22⋊C4C22×D1711yescharacteristic
1232C2×C22⋊C4C22×D1711yescharacteristic
1233C2×C22⋊C4C22×D1711yescharacteristic
1234C2×C42—171no—
1235C2×C42—171no—
1236C2×C42—171no—
1237C2×C42—171no—
1238C2×C42—171no—
1239C2×C42—171no—
1240C2×C42—171no—
1241C2×C42—171no—
1242C2×C42—171no—
1243C2×C42—344no—
1244C2×C42C22×D1711yescharacteristic
1245#95—171no—
1246#95—171no—
1247#95—171no—
1248#95—171no—
1249#95—171no—
1250#95—171no—
1251#95—171no—
1252#95—171no—
1253#95—171no—
1254#95—171no—
1255#95—171no—
1256#95—171no—
1257#95—171no—
1258#95—171no—
1259#95—171no—
1260#95—171no—
1261#95—171no—
1262#95—171no—
1263#95—171no—
1264#95—171no—
1265#95—171no—
1266#95—171no—
1267#95—171no—
1268#95—171no—
1269#95C22×D1711yescharacteristic
1270#95C22×D1711yescharacteristic
1271#95C22×D1711yescharacteristic
1272#95C22×D1711yescharacteristic
1273#95C22×D1711yescharacteristic
1274#95C22×D1711yescharacteristic
1275#95C22×D1711yescharacteristic
1276#95C22×D1711yescharacteristic
1277C17#3456211yescharacteristic, complemented, Sylow
1278C24—171no—
1279C24—171no—
1280C24—171no—
1281C24—174no—
1282C24—174no—
1283C24—171no—
1284C24—342no—
1285C24—342no—
1286C24—342no—
1287C24—342no—
1288C24—681no—
1289C24—681no—
1290C24—681no—
1291C24—681no—
1292C24—681no—
1293C24—681no—
1294C24—681no—
1295C24—681no—
1296C24C23×D1711yescharacteristic
1297C24C23×D1711yescharacteristic
1298C24C23×D1711yescharacteristic
1299#41—6816no—
1300C2×Q8—342no—
1301C2×Q8—681no—
1302C2×Q8—681no—
1303C2×D4—22no—
1304C2×D4—22no—
1305C2×D4—22no—
1306C2×D4—22no—
1307C2×D4—22no—
1308C2×D4—41no—
1309C2×D4—41no—
1310C2×D4—41no—
1311C2×D4—41no—
1312C2×D4—342no—
1313C2×D4—342no—
1314C2×D4—342no—
1315C2×D4—342no—
1316C2×D4—342no—
1317C2×D4—342no—
1318C2×D4—342no—
1319C2×D4—342no—
1320C2×D4—342no—
1321C2×D4—342no—
1322C2×D4—3432no—
1323C2×D4—342no—
1324C2×D4—342no—
1325C2×D4—342no—
1326C2×D4—342no—
1327C2×D4—342no—
1328C2×D4—342no—
1329C2×D4—342no—
1330C2×D4—342no—
1331C2×D4—342no—
1332C2×D4—342no—
1333C2×D4—342no—
1334C2×D4—342no—
1335C2×D4—681no—
1336C2×D4—681no—
1337C2×D4—681no—
1338C2×D4—681no—
1339C2×D4—681no—
1340C2×D4—681no—
1341C2×D4—681no—
1342C2×D4—681no—
1343C2×D4—681no—
1344C2×D4—681no—
1345C2×D4—681no—
1346C2×D4—681no—
1347C2×D4—681no—
1348C2×D4—681no—
1349C22×C4—22no—
1350C22×C4—41no—
1351C22×C4—41no—
1352C22×C4—41no—
1353C22×C4—41no—
1354C22×C4—171no—
1355C22×C4—174no—
1356C22×C4—171no—
1357C22×C4—171no—
1358C22×C4—174no—
1359C22×C4—174no—
1360C22×C4—174no—
1361C22×C4—174no—
1362C22×C4—174no—
1363C22×C4—171no—
1364C22×C4—171no—
1365C22×C4—171no—
1366C22×C4—171no—
1367C22×C4—171no—
1368C22×C4—171no—
1369C22×C4—171no—
1370C22×C4—171no—
1371C22×C4—171no—
1372C22×C4—342no—
1373C22×C4—342no—
1374C22×C4—342no—
1375C22×C4—342no—
1376C22×C4—342no—
1377C22×C4—342no—
1378C22×C4—342no—
1379C22×C4—342no—
1380C22×C4—342no—
1381C22×C4—342no—
1382C22×C4—342no—
1383C22×C4—342no—
1384C22×C4—342no—
1385C22×C4—342no—
1386C22×C4—342no—
1387C22×C4—342no—
1388C22×C4—342no—
1389C22×C4—342no—
1390C22×C4—342no—
1391C22×C4—342no—
1392C22×C4—342no—
1393C22×C4—342no—
1394C22×C4—342no—
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—6816no—
1406C22×C4—6816no—
1407C22×C4D4×D1714yes—
1408C22×C4C23×D1711yescharacteristic
1409C22×C4C23×D1711yescharacteristic
1410C22×C4C23×D1711yescharacteristic
1411C22×C4C23×D1711yescharacteristic
1412C22×C4C23×D1711yescharacteristic
1413C22×C4C23×D1711yescharacteristic
1414C22×C4C23×D1711yescharacteristic
1415C22×C4C23×D1711yescharacteristic
1416C22×C4C23×D1711yescharacteristic
1417C22×C4C23×D1711yescharacteristic
1418C22×C4C23×D1711yescharacteristic
1419C22×C4C23×D1711yescharacteristic
1420C4⋊C4—22no—
1421C4⋊C4—22no—
1422C4⋊C4—22no—
1423C4⋊C4—22no—
1424C4⋊C4—41no—
1425C4⋊C4—41no—
1426C4⋊C4—41no—
1427C4⋊C4—41no—
1428C4⋊C4—342no—
1429C4⋊C4—342no—
1430C4⋊C4—342no—
1431C4⋊C4—342no—
1432C4⋊C4—342no—
1433C4⋊C4—342no—
1434C4⋊C4—342no—
1435C4⋊C4—342no—
1436C4⋊C4—342no—
1437C4⋊C4—342no—
1438C4⋊C4—681no—
1439C4⋊C4—681no—
1440C4⋊C4—681no—
1441C4⋊C4—681no—
1442C4⋊C4—681no—
1443C4⋊C4—681no—
1444C4⋊C4—681no—
1445C4⋊C4—681no—
1446C22⋊C4—22no—
1447C22⋊C4—22no—
1448C22⋊C4—22no—
1449C22⋊C4—22no—
1450C22⋊C4—22no—
1451C22⋊C4—22no—
1452C22⋊C4—22no—
1453C22⋊C4—41no—
1454C22⋊C4—41no—
1455C22⋊C4—41no—
1456C22⋊C4—41no—
1457C22⋊C4—41no—
1458C22⋊C4—41no—
1459C22⋊C4—342no—
1460C22⋊C4—342no—
1461C22⋊C4—342no—
1462C22⋊C4—342no—
1463C22⋊C4—342no—
1464C22⋊C4—342no—
1465C22⋊C4—342no—
1466C22⋊C4—342no—
1467C22⋊C4—342no—
1468C22⋊C4—342no—
1469C22⋊C4—342no—
1470C22⋊C4—342no—
1471C22⋊C4—342no—
1472C22⋊C4—342no—
1473C22⋊C4—342no—
1474C22⋊C4—342no—
1475C22⋊C4—342no—
1476C22⋊C4—342no—
1477C22⋊C4—342no—
1478C22⋊C4—342no—
1479C22⋊C4—342no—
1480C22⋊C4—342no—
1481C22⋊C4—342no—
1482C22⋊C4—681no—
1483C22⋊C4—681no—
1484C22⋊C4—681no—
1485C22⋊C4—681no—
1486C22⋊C4—681no—
1487C22⋊C4—681no—
1488C22⋊C4—681no—
1489C22⋊C4—681no—
1490C22⋊C4—681no—
1491C22⋊C4—681no—
1492C22⋊C4—681no—
1493C22⋊C4—681no—
1494C22⋊C4—681no—
1495C22⋊C4—681no—
1496C22⋊C4—681no—
1497C22⋊C4—681no—
1498C22⋊C4—681no—
1499C22⋊C4—681no—
1500C42—22no—
1501C42—342no—
1502C42—342no—
1503C42—342no—
1504C42—342no—
1505C42—342no—
1506C42—342no—
1507C42—342no—
1508C42—342no—
1509C42—342no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—21no—
1529C23—172no—
1530C23—172no—
1531C23—172no—
1532C23—172no—
1533C23—172no—
1534C23—348no—
1535C23—348no—
1536C23—341no—
1537C23—341no—
1538C23—341no—
1539C23—341no—
1540C23—341no—
1541C23—341no—
1542C23—341no—
1543C23—341no—
1544C23—341no—
1545C23—341no—
1546C23—341no—
1547C23—341no—
1548C23—341no—
1549C23—341no—
1550C23—341no—
1551C23—341no—
1552C23—341no—
1553C23—341no—
1554C23—341no—
1555C23—341no—
1556C23—341no—
1557C23—341no—
1558C23—341no—
1559C23—684no—
1560C23—684no—
1561C23—684no—
1562C23—684no—
1563C23—684no—
1564C23—684no—
1565C23—684no—
1566C23—684no—
1567C23—684no—
1568C23—684no—
1569C23—684no—
1570C23—684no—
1571C23C2×D4×D1712yes—
1572C23#41×D1712yes—
1573C23C24×D1711yescharacteristic
1574Q8—684no—
1575D4—28no—
1576D4—44no—
1577D4—44no—
1578D4—348no—
1579D4—348no—
1580D4—348no—
1581D4—684no—
1582D4—684no—
1583D4—684no—
1584D4—684no—
1585D4—684no—
1586D4—684no—
1587D4—684no—
1588D4—684no—
1589D4—684no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—44no—
1624C2×C4—44no—
1625C2×C4—172no—
1626C2×C4—172no—
1627C2×C4—172no—
1628C2×C4—172no—
1629C2×C4—172no—
1630C2×C4—348no—
1631C2×C4—348no—
1632C2×C4—348no—
1633C2×C4—348no—
1634C2×C4—341no—
1635C2×C4—341no—
1636C2×C4—341no—
1637C2×C4—341no—
1638C2×C4—341no—
1639C2×C4—341no—
1640C2×C4—341no—
1641C2×C4—341no—
1642C2×C4—341no—
1643C2×C4—341no—
1644C2×C4—341no—
1645C2×C4—341no—
1646C2×C4—341no—
1647C2×C4—341no—
1648C2×C4—341no—
1649C2×C4—341no—
1650C2×C4—341no—
1651C2×C4—341no—
1652C2×C4—341no—
1653C2×C4—341no—
1654C2×C4—341no—
1655C2×C4—341no—
1656C2×C4—341no—
1657C2×C4—341no—
1658C2×C4—341no—
1659C2×C4—341no—
1660C2×C4—341no—
1661C2×C4—341no—
1662C2×C4—341no—
1663C2×C4—341no—
1664C2×C4—341no—
1665C2×C4—684no—
1666C2×C4—684no—
1667C2×C4—684no—
1668C2×C4—684no—
1669C2×C4—684no—
1670C2×C4—684no—
1671C2×C4—684no—
1672C2×C4—684no—
1673C2×C4—684no—
1674C2×C4C2×D4×D1712yes—
1675C2×C4C2×D4×D1712yes—
1676C2×C4#41×D1712yes—
1677C22—22no—
1678C22—22no—
1679C22—22no—
1680C22—22no—
1681C22—22no—
1682C22—22no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—174no—
1699C22—342no—
1700C22—342no—
1701C22—342no—
1702C22—342no—
1703C22—342no—
1704C22—342no—
1705C22—342no—
1706C22—342no—
1707C22—342no—
1708C22—342no—
1709C22—342no—
1710C22—342no—
1711C22—6816no—
1712C22—6816no—
1713C22—681no—
1714C22—681no—
1715C22—681no—
1716C22—681no—
1717C22—681no—
1718C22—681no—
1719C22—681no—
1720C22—681no—
1721C22—681no—
1722C22—681no—
1723C22—681no—
1724C22—681no—
1725C22—681no—
1726C22—681no—
1727C22—681no—
1728C22C22×D4×D1711yescharacteristic
1729C22C2×#41×D1711yescharacteristic
1730C22C2×#41×D1711yescharacteristic
1731C22H(5,𝔽2)×D1711yescharacteristic
1732C22H(5,𝔽2)×D1711yescharacteristic
1733C22#1176364411yescharacteristic
1734C22#1176364611yescharacteristic
1735C4—22no—
1736C4—22no—
1737C4—22no—
1738C4—41no—
1739C4—41no—
1740C4—41no—
1741C4—41no—
1742C4—41no—
1743C4—41no—
1744C4—41no—
1745C4—41no—
1746C4—41no—
1747C4—174no—
1748C4—342no—
1749C4—342no—
1750C4—681no—
1751C4—681no—
1752C4—681no—
1753C4—681no—
1754C4—681no—
1755C4—681no—
1756C4—681no—
1757C4—681no—
1758C4—681no—
1759C2—42no—
1760C2—42no—
1761C2—81no—
1762C2—344no—
1763C2—682no—
1764C2—682no—
1765C2—1361no—
1766C2D17×#52511yescharacteristic
1767C2D17×#53411yescharacteristic
1768C2#1454211211yescharacteristic
1769C2#1454219211yescharacteristic
1770C2#1454219511yescharacteristic
1771C2#1454219911yescharacteristic
1772C2#1454220411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D17
commutator, socle, cosocleC23×C17C25
FittingC17×#2630C2
hypercenter#2630D17
hypocenterC17#34562
LCSG ▷ C23×C17 ▷ C17
UCSC1 ◁ C23 ◁ #2630

Complements

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

NH ≅ G/Ntype
1. C2×#11763317C2semidirect
2. C2×C4×D4×D17C2semidirect
3. #14534708C2semidirect
4. #14534705C2semidirect
5. #14534675C2semidirect
6. #14534672C2semidirect
7. #14534625C2semidirect
8. #14534623C2semidirect
9. #14534621C2semidirect
10. #14534602C2semidirect
11. #14534594C2semidirect
12. #14534558C2semidirect
13. #14534556C2semidirect
14. #14534531C2semidirect
15. #14534523C2semidirect
16. #14534497C2semidirect
17. #14534495C2semidirect
18. #14532042C2semidirect
19. #14532040C2semidirect
20. #14532029C2semidirect
21. #14532029C2semidirect
22. #14532025C2semidirect
23. #14532023C2semidirect
24. #14531998C2semidirect
25. #14531996C2semidirect
26. #14531311C2semidirect
27. #14531305C2semidirect
28. #14531289C2semidirect
29. #14531285C2semidirect
30. #14531166C2semidirect
31. C17×#2630C2semidirect
32. C22×#63254C22semidirect
38. C2×#10587615C22semidirect
41. C2×#10587582C22semidirect
43. C2×#10587570C22semidirect
50. C2×D4×Dic17C22semidirect
53. C2×#10587579C22semidirect
54. C2×#10587579C22semidirect
60. C2×#10587567C22semidirect
61. C2×#10587567C22semidirect
62. C2×#10587567C22semidirect
64. C2×#10587578C22semidirect
65. C2×#10587578C22semidirect
66. C2×#10587563C22semidirect
71. #11762751C22semidirect
72. #11762750C22semidirect
73. #11762745C22semidirect
74. #11762744C22semidirect
75. #11762743C22semidirect
76. #11762742C22semidirect
77. #11762742C22semidirect
78. #11762742C22semidirect
79. #11762739C22semidirect
80. #11762738C22semidirect
81. #11762738C22semidirect
82. #11762738C22semidirect
83. #11762737C22semidirect
84. #11762737C22semidirect
85. #11762737C22semidirect
86. #11762736C22semidirect
87. #11762735C22semidirect
88. #11762734C22semidirect
89. #11762732C22semidirect
90. #11762732C22semidirect
91. #11762731C22semidirect
92. #11762731C22semidirect
93. #11762731C22semidirect
94. #11762731C22semidirect
95. #11762730C22semidirect
96. #11762729C22semidirect
98. #11762727C22semidirect
100. #11762726C22semidirect
101. #11762726C22semidirect
104. #11762725C22semidirect
105. #11762725C22semidirect
106. #11762725C22semidirect
107. #11762725C22semidirect
108. #11762725C22semidirect
111. #11762724C22semidirect
112. #11762724C22semidirect
113. #11762724C22semidirect
115. #11762723C22semidirect
116. #11762722C22semidirect
117. #11762721C22semidirect
122. #11762718C22semidirect
126. #11762717C22semidirect
127. #11762701C22semidirect
128. #11762700C22semidirect
129. #11762697C22semidirect
130. #11762694C22semidirect
131. #11762693C22semidirect
132. #11762690C22semidirect
133. #11762688C22semidirect
136. #11762687C22semidirect
139. #11762685C22semidirect
142. #11762683C22semidirect
143. #11762682C22semidirect
146. #11762680C22semidirect
149. #11762671C22semidirect
150. #11762671C22semidirect
151. #11762669C22semidirect
158. C4⋊C4×Dic17C22semidirect
159. C4⋊C4×Dic17C22semidirect
160. #11762660C22semidirect
161. #11762660C22semidirect
162. C22⋊C4×Dic17C22semidirect
163. C22⋊C4×Dic17C22semidirect
164. C22⋊C4×Dic17C22semidirect
165. C22⋊C4×Dic17C22semidirect
166. C22⋊C4×Dic17C22semidirect
167. C22⋊C4×Dic17C22semidirect
170. #11762656C22semidirect
171. #11762656C22semidirect
172. #11762656C22semidirect
173. #11762656C22semidirect
174. C2×C17×#123C22semidirect
176. C17×#398C22semidirect
177. C17×#397C22semidirect
178. C17×#396C22semidirect
179. C17×#396C22semidirect
181. C17×#394C22semidirect
182. C17×#394C22semidirect
184. C17×#388C22semidirect
185. C17×#387C22semidirect
186. C17×#386C22semidirect
187. C17×#385C22semidirect
188. C17×#380C22semidirect
222. C22×C4×D17D4semidirect
407. C23×D17#41semidirect
529. C2×C4×D17#41semidirect
800. #2630D17semidirect
912. C2×#123C2×D17semidirect
954. #398C2×D17semidirect
964. #397C2×D17semidirect
971. #396C2×D17semidirect
972. #396C2×D17semidirect
995. #394C2×D17semidirect
996. #394C2×D17semidirect
1012. #388C2×D17semidirect
1016. #387C2×D17semidirect
1024. #386C2×D17semidirect
1032. #385C2×D17semidirect
1040. #380C2×D17semidirect
1277. C17#34562semidirect

Maximal subgroups

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

subgroupindex
C2×#117633172
C2×C4×D4×D172
#145347082
#145347052
#145346752
#145346722
#145346252
#145346232
#145346212
#145346022
#145345942
#145345582
#145345562
#145345312
#145345232
#145344972
#145344952
#145320422
#145320402
#145320292
#145320252
#145320232
#145319982
#145319962
#145313112
#145313052
#145312892
#145312852
#145311662
C17×#26302
#3456217