Finite Group Databasebeta

← #17202496

Subgroups — #17202496

Order 4352.

2992 conjugacy classes of subgroups.

The subgroup lattice has 1720 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11763337C211yesmaximal, characteristic, complemented
2C2×C4×D4×D17C211yesmaximal, characteristic, complemented
3#14533031C211yesmaximal, characteristic, complemented
4#14533023C211yesmaximal, characteristic, complemented
5#14532851C211yesmaximal, characteristic, complemented
6#14532843C211yesmaximal, characteristic, complemented
7#14532694C211yesmaximal, characteristic, complemented
8#14532686C211yesmaximal, characteristic, complemented
9#14532651C211yesmaximal, characteristic, complemented
10#14532566C211yesmaximal, characteristic, complemented
11#14532501C211yesmaximal, characteristic, complemented
12#14532430C211yesmaximal, characteristic, complemented
13#14532356C211yesmaximal, characteristic, complemented
14#14532271C211yesmaximal, characteristic, complemented
15#14532249C211yesmaximal, characteristic, complemented
16#14532247C211yesmaximal, characteristic, complemented
17#14532230C211yesmaximal, characteristic, complemented
18#14532135C211yesmaximal, characteristic
19#14532047C211yesmaximal, characteristic, complemented
20#14532026C211yesmaximal, characteristic, complemented
21#14532024C211yesmaximal, characteristic, complemented
22C4×#10587571C211yesmaximal, characteristic, complemented
23C4×#10587582C211yesmaximal, characteristic, complemented
24C4×#10587570C211yesmaximal, characteristic, complemented
25C4×#10587568C211yesmaximal, characteristic, complemented
26C4×#10587568C211yesmaximal, characteristic, complemented
27#14531247C211yesmaximal, characteristic, complemented
28#14531165C211yesmaximal, characteristic, complemented
29#14531163C211yesmaximal, characteristic, complemented
30C4×#10587579C211yesmaximal, characteristic, complemented
31C17×#2395C211yesmaximal, characteristic, complemented
32C22×D4×D17C2211yescharacteristic
33C23×C4×D17C2211yescharacteristic
34C23×C4×D17C2211yescharacteristic
35#11763337—28no—
36C2×#10587584C2211yescharacteristic, complemented
37C2×#10587565C2211yescharacteristic, complemented
38C2×#10587575C2211yescharacteristic, complemented
39C2×#10587571C2211yescharacteristic
40C2×#10587571C2211yescharacteristic
41C2×#10587580C2211yescharacteristic, complemented
42C2×#10587569C2211yescharacteristic, complemented
43C2×#10587582C2211yescharacteristic
44C2×#10587582C2211yescharacteristic, complemented
45C2×#10587570C2211yescharacteristic
46C2×#10587570C2211yescharacteristic
47C2×#10587568C2211yescharacteristic
48C2×#10587568C2211yescharacteristic
49C2×C4×Dic34C2211yescharacteristic, complemented
50C2×C4×D68C2211yescharacteristic
51C2×C4×D68C2211yescharacteristic
52C2×C4×D68C2211yescharacteristic, complemented
53C2×C4×D68C2211yescharacteristic, complemented
54C2×D4×Dic17C2211yescharacteristic
55C2×#10587579C2211yescharacteristic
56C2×#10587579C2211yescharacteristic
57C2×#10587579C2211yescharacteristic
58C2×C4×C22⋊D17C2211yescharacteristic
59C2×C4×C22⋊D17C2211yescharacteristic
60C2×C4×C22⋊D17C2211yescharacteristic, complemented
61C2×C4×C22⋊D17C2211yescharacteristic, complemented
62C2×#10587567C2211yescharacteristic
63C2×#10587567C2211yescharacteristic
64C4×D4×D17—28no—
65C2×#10587612C2211yescharacteristic, complemented
66C2×#10587558C2211yescharacteristic, complemented
67C2×#10587558C2211yescharacteristic, complemented
68C2×C4⋊C4×D17C2211yescharacteristic
69C2×C22⋊C4×D17C2211yescharacteristic
70C2×C22⋊C4×D17C2211yescharacteristic
71C2×C42×D17C2211yescharacteristic
72C2×C42×D17C2211yescharacteristic, complemented
73#11762751C2211yescharacteristic, complemented
74#11762744C2211yescharacteristic, complemented
75#11762742C2211yescharacteristic, complemented
76#11762742C2211yescharacteristic, complemented
77#11762741C2211yescharacteristic, complemented
78#11762738C2211yescharacteristic, complemented
79#11762738C2211yescharacteristic, complemented
80#11762737C2211yescharacteristic, complemented
81#11762736C2211yescharacteristic, complemented
82#11762735C2211yescharacteristic, complemented
83#11762732C2211yescharacteristic, complemented
84#11762731C2211yescharacteristic, complemented
85#11762731C2211yescharacteristic, complemented
86#11762731C2211yescharacteristic, complemented
87#11762727C2211yescharacteristic
88#11762727C2211yescharacteristic, complemented
89#11762726C2211yescharacteristic
90#11762726C2211yescharacteristic
91#11762726C2211yescharacteristic, complemented
92#11762725C2211yescharacteristic, complemented
93#11762724C2211yescharacteristic, complemented
94#11762723C2211yescharacteristic
95#11762719C2211yescharacteristic
96#11762717C2211yescharacteristic
97#11762713C2211yescharacteristic, complemented
98#11762713C2211yescharacteristic, complemented
99#11762709C2211yescharacteristic
100#11762709C2211yescharacteristic
101#11762709C2211yescharacteristic
102#11762709C2211yescharacteristic
103#11762706C2211yescharacteristic, complemented
104#11762706C2211yescharacteristic, complemented
105#11762706C2211yescharacteristic, complemented
106#11762704C2211yescharacteristic, complemented
107#11762702C2211yescharacteristic, complemented
108#11762702C2211yescharacteristic, complemented
109#11762701C2211yescharacteristic, complemented
110#11762701C2211yescharacteristic, complemented
111#11762701C2211yescharacteristic, complemented
112#11762698C2211yescharacteristic, complemented
113#11762698C2211yescharacteristic, complemented
114#11762697C2211yescharacteristic, complemented
115#11762697C2211yescharacteristic, complemented
116#11762697C2211yescharacteristic, complemented
117#11762695C2211yescharacteristic, complemented
118#11762691C2211yescharacteristic, complemented
119#11762687C2211yescharacteristic
120#11762687C2211yescharacteristic
121#11762687C2211yescharacteristic, complemented
122#11762687C2211yescharacteristic, complemented
123#11762687C2211yescharacteristic, complemented
124#11762686C2211yescharacteristic, complemented
125#11762686C2211yescharacteristic, complemented
126#11762685C2211yescharacteristic, complemented
127#11762684C2211yescharacteristic, complemented
128#11762684C2211yescharacteristic, complemented
129#11762683C2211yescharacteristic
130#11762683C2211yescharacteristic
131#11762683C2211yescharacteristic
132#11762683C2211yescharacteristic, complemented
133#11762683C2211yescharacteristic, complemented
134#11762680C2211yescharacteristic
135#11762673C2211yescharacteristic, complemented
136#11762671C2211yescharacteristic, complemented
137#11762671C2211yescharacteristic, complemented
138#11762670C2211yescharacteristic, complemented
139#11762670C2211yescharacteristic, complemented
140#11762668C2211yescharacteristic
141#11762668C2211yescharacteristic
142#11762668C2211yescharacteristic
143#11762668C2211yescharacteristic, complemented
144#11762667C2211yescharacteristic, complemented
145#11762667C2211yescharacteristic, complemented
146#11762666C2211yescharacteristic
147#11762666C2211yescharacteristic
148#11762666C2211yescharacteristic, complemented
149#11762666C2211yescharacteristic, complemented
150#11762664C2211yescharacteristic
151#11762664C2211yescharacteristic
152#11762664C2211yescharacteristic
153#11762664C2211yescharacteristic
154#11762664C2211yescharacteristic
155#11762664C2211yescharacteristic
156C4⋊C4×Dic17C2211yescharacteristic, complemented
157C4⋊C4×Dic17C2211yescharacteristic, complemented
158C4×#63225C2211yescharacteristic, complemented
159C4×#63225C2211yescharacteristic, complemented
160C4×#63227C2211yescharacteristic
161C4×#63227C2211yescharacteristic
162C4×#63227C2211yescharacteristic
163C4×#63227C2211yescharacteristic, complemented
164C4×#63227C2211yescharacteristic, complemented
165C4×#63227C2211yescharacteristic, complemented
166C4×#63227C2211yescharacteristic, complemented
167C4×#63227C2211yescharacteristic, complemented
168C4×C22⋊Dic17C2211yescharacteristic, complemented
169#11762656C2211yescharacteristic
170#11762656C2211yescharacteristic
171#11762656C2211yescharacteristic, complemented
172#11762656C2211yescharacteristic, complemented
173C42×Dic17C2211yescharacteristic, complemented
174C2×C4×D4×C17C2211yescharacteristic
175C2×C17×#117C2211yescharacteristic, complemented
176C17×#400C2211yescharacteristic, complemented
177C17×#399C2211yescharacteristic, complemented
178C17×#398C2211yescharacteristic, complemented
179C17×#397C2211yescharacteristic, complemented
180C17×#397C2211yescharacteristic, complemented
181C17×#397C2211yescharacteristic, complemented
182C17×#394C2211yescharacteristic
183C17×#394C2211yescharacteristic
184C4×C4⋊C4×C17C2211yescharacteristic, complemented
185C4×C4⋊C4×C17C2211yescharacteristic, complemented
186C4×C22⋊C4×C17C2211yescharacteristic, complemented
187C4×C22⋊C4×C17C2211yescharacteristic, complemented
188C4×C22⋊C4×C17C2211yescharacteristic, complemented
189C24×D17C2311yescharacteristic
190C24×D17C2311yescharacteristic
191C22×D4×C17C2311yescharacteristic
192C23×C4×C17C2311yescharacteristic
193C23×C4×C17C2311yescharacteristic
194C22×C22⋊D17C2311yescharacteristic
195C22×C22⋊D17C2311yescharacteristic
196C22×C22⋊D17C2311yescharacteristic
197C22×C22⋊D17C2311yescharacteristic
198C23×Dic17C2311yescharacteristic
199C23×Dic17C2311yescharacteristic
200C2×D4×D17—24no—
201C2×D4×D17—24no—
202C2×D4×D17—24no—
203C22×D68C2311yescharacteristic
204C22×D68C2311yescharacteristic
205C22×D68C2311yescharacteristic
206C22×D68C2311yescharacteristic
207C22×C4×D17—24no—
208C22×C4×D17—24no—
209C22×C4×D17—24no—
210C22×C4×D17—24no—
211C22×C4×D17—42no—
212C22×C4×D17—42no—
213C22×C4×D17C2311yescharacteristic
214C22×C4×D17C2311yescharacteristic
215C22×C4×D17C2311yescharacteristic
216C22×C4×D17C2311yescharacteristic
217C22×C4×D17C2311yescharacteristic
218C22×C4×D17C2311yescharacteristic
219C22×C4×D17C2311yescharacteristic
220C22×C4×D17C2311yescharacteristic
221C22×C4×D17C2311yescharacteristic
222C22×C4×D17C2311yescharacteristic
223C22×C4×D17C2311yescharacteristic
224C22×C4×D17C2311yescharacteristic
225C22×Dic34C2311yescharacteristic
226C4×D4×C17—24no—
227C17×#117—24no—
228C2×C4⋊C4×C17C2311yescharacteristic
229C2×C4⋊C4×C17C2311yescharacteristic
230C2×C4⋊C4×C17C2311yescharacteristic
231C2×C4⋊C4×C17C2311yescharacteristic
232C2×C4⋊C4×C17C2311yescharacteristic
233C2×C4⋊C4×C17C2311yescharacteristic
234C2×C4⋊C4×C17C2311yescharacteristic
235C2×C22⋊C4×C17C2311yescharacteristic
236C2×C22⋊C4×C17C2311yescharacteristic
237C2×C22⋊C4×C17C2311yescharacteristic
238C2×C22⋊C4×C17C2311yescharacteristic
239C2×C22⋊C4×C17C2311yescharacteristic
240C2×C22⋊C4×C17C2311yescharacteristic
241C2×C22⋊C4×C17C2311yescharacteristic
242C2×C22⋊C4×C17C2311yescharacteristic
243C2×C22⋊C4×C17C2311yescharacteristic
244C2×C22⋊C4×C17C2311yescharacteristic
245C2×C42×C17C2311yescharacteristic
246C2×C42×C17C2311yescharacteristic
247C2×C42×C17C2311yescharacteristic
248C2×C42×C17C2311yescharacteristic
249C2×C42×C17C2311yescharacteristic
250C2×C22⋊Dic17C2311yescharacteristic
251C2×C22⋊Dic17C2311yescharacteristic
252C2×C22⋊Dic17C2311yescharacteristic
253C2×C22⋊Dic17C2311yescharacteristic
254C2×C22⋊Dic17C2311yescharacteristic
255C2×C22⋊Dic17C2311yescharacteristic
256C2×C22⋊Dic17C2311yescharacteristic
257C2×C22⋊Dic17C2311yescharacteristic
258D4×Dic17—24no—
259C4×C22⋊D17—24no—
260C4×C22⋊D17—24no—
261C4×C22⋊D17—42no—
262C4×C22⋊D17D418yescomplemented
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×#63227C2311yescharacteristic
285C2×#63227C2311yescharacteristic
286C2×#63227C2311yescharacteristic
287C2×#63227C2311yescharacteristic
288C2×#63227C2311yescharacteristic
289C2×#63227C2311yescharacteristic
290C2×#63227C2311yescharacteristic
291C2×#63227C2311yescharacteristic
292C2×#63227C2311yescharacteristic
293C2×#63227C2311yescharacteristic
294C2×#63227C2311yescharacteristic
295#10587612—42no—
296C2×C4⋊Dic17C2311yescharacteristic
297C2×C4⋊Dic17C2311yescharacteristic
298C2×C4⋊Dic17C2311yescharacteristic
299C2×C4⋊Dic17C2311yescharacteristic
300C2×C4⋊Dic17C2311yescharacteristic
301C2×C4⋊Dic17C2311yescharacteristic
302C2×C4⋊Dic17C2311yescharacteristic
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×#63225C2311yescharacteristic
316C2×#63225C2311yescharacteristic
317C2×C4×Dic17C2311yescharacteristic
318C2×C4×Dic17C2311yescharacteristic
319C2×C4×Dic17C2311yescharacteristic
320C2×C4×Dic17C2311yescharacteristic
321C2×C4×Dic17C2311yescharacteristic
322C2×C4×Dic17C2311yescharacteristic
323C2×C4×Dic17C2311yescharacteristic
324C2×C4×Dic17C2311yescharacteristic
325C2×C4×Dic17C2311yescharacteristic
326C2×C4×Dic17C2311yescharacteristic
327C2×C4×Dic17C2311yescharacteristic
328C2×C4×Dic17C2311yescharacteristic
329#10587584—24no—
330#10587582—24no—
331#10587582—24no—
332#10587580—24no—
333#10587579—24no—
334#10587579—24no—
335#10587579—24no—
336C4⋊C4×D17—24no—
337#10587575—24no—
338#10587571—24no—
339#10587571—24no—
340#10587570—24no—
341#10587570—24no—
342#10587569—24no—
343#10587568—24no—
344#10587568—24no—
345#10587567—24no—
346#10587567—24no—
347C22⋊C4×D17—24no—
348C22⋊C4×D17—24no—
349#10587565—24no—
350C4×D68—24no—
351C4×D68—24no—
352C4×D68—24no—
353C4×D68—42no—
354#10587558—24no—
355#10587558—42no—
356C42×D17—24no—
357C42×D17—24no—
358C4×Dic34—24no—
359C17×#95C2311yescharacteristic
360C17×#95C2311yescharacteristic
361C17×#95C2311yescharacteristic
362C17×#95C2311yescharacteristic
363C17×#95C2311yescharacteristic
364C17×#95C2311yescharacteristic
365C17×#95C2311yescharacteristic
366C17×#95C2311yescharacteristic
367C17×#95C2311yescharacteristic
368C17×#95C2311yescharacteristic
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
393C23×D17—22no—
394C23×D17—22no—
395C23×D17—22no—
396C23×D17—22no—
397C23×D17—22no—
398C23×D17—22no—
399C23×D17—22no—
400C23×D17—22no—
401C23×D17—22no—
402C23×D17—22no—
403C23×D17—41no—
404C23×D17—41no—
405C23×D17—41no—
406C23×D17—41no—
407C23×D17C2411yescharacteristic
408C23×D17C2411yescharacteristic
409C23×D17C2411yescharacteristic
410C23×D17C2411yescharacteristic
411C2×D4×C17—22no—
412C2×D4×C17—22no—
413C2×D4×C17—22no—
414C22×C4×C17—22no—
415C22×C4×C17—22no—
416C22×C4×C17—22no—
417C22×C4×C17—22no—
418C22×C4×C17—22no—
419C22×C4×C17C2×D414yes—
420C22×C4×C17C2411yescharacteristic
421C22×C4×C17C2411yescharacteristic
422C22×C4×C17C2411yescharacteristic
423C22×C4×C17C2411yescharacteristic
424C22×C4×C17C2411yescharacteristic
425C22×C4×C17C2411yescharacteristic
426C22×C4×C17C2411yescharacteristic
427C22×C4×C17C2411yescharacteristic
428C22×C4×C17C2411yescharacteristic
429C22×C4×C17C2411yescharacteristic
430C22×C4×C17C2411yescharacteristic
431C22×C4×C17C2411yescharacteristic
432C22×C4×C17C2411yescharacteristic
433C2×C22⋊D17—22no—
434C2×C22⋊D17—22no—
435C2×C22⋊D17—22no—
436C2×C22⋊D17—22no—
437C2×C22⋊D17—22no—
438C2×C22⋊D17—22no—
439C2×C22⋊D17—22no—
440C2×C22⋊D17—22no—
441C2×C22⋊D17—41no—
442C2×C22⋊D17—41no—
443C2×C22⋊D17C2×D414yes—
444C2×C22⋊D17#4114yes—
445C22×Dic17—22no—
446C22×Dic17—22no—
447C22×Dic17—22no—
448C22×Dic17—22no—
449C22×Dic17—41no—
450C22×Dic17—41no—
451C22×Dic17C2411yescharacteristic
452C22×Dic17C2411yescharacteristic
453C22×Dic17C2411yescharacteristic
454C22×Dic17C2411yescharacteristic
455C22×Dic17C2411yescharacteristic
456C22×Dic17C2411yescharacteristic
457C22×Dic17C2411yescharacteristic
458C22×Dic17C2411yescharacteristic
459C22×Dic17C2411yescharacteristic
460C22×Dic17C2411yescharacteristic
461C22×Dic17C2411yescharacteristic
462C22×Dic17C2411yescharacteristic
463D4×D17—232no—
464C2×D68—22no—
465C2×D68—22no—
466C2×D68—22no—
467C2×D68—22no—
468C2×D68—22no—
469C2×D68—22no—
470C2×D68—22no—
471C2×D68—22no—
472C2×D68—22no—
473C2×D68—41no—
474C2×D68—41no—
475C2×D68#4114yes—
476C2×C4×D17—22no—
477C2×C4×D17—22no—
478C2×C4×D17—22no—
479C2×C4×D17—22no—
480C2×C4×D17—22no—
481C2×C4×D17—22no—
482C2×C4×D17—22no—
483C2×C4×D17—22no—
484C2×C4×D17—22no—
485C2×C4×D17—22no—
486C2×C4×D17—22no—
487C2×C4×D17—22no—
488C2×C4×D17—22no—
489C2×C4×D17—22no—
490C2×C4×D17—22no—
491C2×C4×D17—22no—
492C2×C4×D17—22no—
493C2×C4×D17—22no—
494C2×C4×D17—22no—
495C2×C4×D17—22no—
496C2×C4×D17—22no—
497C2×C4×D17—22no—
498C2×C4×D17—22no—
499C2×C4×D17—22no—
500C2×C4×D17—22no—
501C2×C4×D17—22no—
502C2×C4×D17—22no—
503C2×C4×D17—416no—
504C2×C4×D17—416no—
505C2×C4×D17—41no—
506C2×C4×D17—41no—
507C2×C4×D17—41no—
508C2×C4×D17—41no—
509C2×C4×D17—41no—
510C2×C4×D17—41no—
511C2×C4×D17C2×D414yes—
512C2×C4×D17#4114yes—
513C2×C4×D17#4114yes—
514C2×Dic34—22no—
515C2×Dic34—22no—
516C2×Dic34—22no—
517C4⋊C4×C17—22no—
518C4⋊C4×C17—22no—
519C4⋊C4×C17—22no—
520C4⋊C4×C17—22no—
521C4⋊C4×C17—22no—
522C4⋊C4×C17—22no—
523C4⋊C4×C17—41no—
524C22⋊C4×C17—22no—
525C22⋊C4×C17—22no—
526C22⋊C4×C17—22no—
527C22⋊C4×C17—22no—
528C22⋊C4×C17—22no—
529C22⋊C4×C17—22no—
530C22⋊C4×C17—22no—
531C22⋊C4×C17—22no—
532C22⋊C4×C17—41no—
533C22⋊C4×C17—41no—
534C42×C17—22no—
535C42×C17—22no—
536C42×C17—22no—
537C42×C17—22no—
538C42×C17—22no—
539C22⋊Dic17—22no—
540C22⋊Dic17—22no—
541C22⋊Dic17—22no—
542C22⋊Dic17—41no—
543C22⋊Dic17—41no—
544C22⋊Dic17—41no—
545C22⋊Dic17—41no—
546C22⋊Dic17C2×D414yes—
547#63227—22no—
548#63227—22no—
549#63227—22no—
550#63227—22no—
551#63227—22no—
552#63227—22no—
553#63227—22no—
554#63227—22no—
555#63227—22no—
556#63227—22no—
557#63227—22no—
558#63227—22no—
559#63227—22no—
560#63227—22no—
561#63227—22no—
562#63227—22no—
563#63227—22no—
564#63227—22no—
565#63227—22no—
566#63227—22no—
567#63227—22no—
568#63227—22no—
569#63227—22no—
570#63227—41no—
571#63227—41no—
572#63227—41no—
573#63227—41no—
574#63227—41no—
575#63227—41no—
576#63227—41no—
577#63227—41no—
578#63227C2×D414yes—
579C4⋊Dic17—22no—
580C4⋊Dic17—22no—
581C4⋊Dic17—22no—
582C4⋊Dic17—22no—
583C4⋊Dic17—41no—
584C4⋊Dic17—41no—
585C4⋊Dic17—41no—
586#63225—22no—
587#63225—22no—
588#63225—22no—
589#63225—22no—
590#63225—22no—
591#63225—22no—
592#63225—22no—
593#63225—22no—
594#63225—22no—
595#63225—41no—
596#63225—41no—
597#63225—41no—
598#63225—41no—
599#63225C2×D414yes—
600C4×Dic17—22no—
601C4×Dic17—22no—
602C4×Dic17—22no—
603C4×Dic17—22no—
604C4×Dic17—22no—
605C4×Dic17—22no—
606C4×Dic17—22no—
607C4×Dic17—22no—
608C4×Dic17—22no—
609C4×Dic17—22no—
610C4×Dic17—41no—
611C4×Dic17C2×D414yes—
612#34700—171nomaximal, Sylow
613C23×C17—21no—
614C23×C17—21no—
615C23×C17—21no—
616C23×C17—21no—
617C23×C17—21no—
618C23×C17—21no—
619C23×C17—21no—
620C23×C17—21no—
621C23×C17—21no—
622C23×C17—21no—
623C23×C17—21no—
624C23×C17—21no—
625C23×C17C22×D412yes—
626C23×C17C2×#4112yes—
627C23×C17C2511yescharacteristic
628C22×D17—21no—
629C22×D17—21no—
630C22×D17—21no—
631C22×D17—21no—
632C22×D17—28no—
633C22×D17—28no—
634C22×D17—21no—
635C22×D17—21no—
636C22×D17—21no—
637C22×D17—21no—
638C22×D17—21no—
639C22×D17—21no—
640C22×D17—21no—
641C22×D17—21no—
642C22×D17—21no—
643C22×D17—21no—
644C22×D17—21no—
645C22×D17—21no—
646C22×D17—21no—
647C22×D17—21no—
648C22×D17—21no—
649C22×D17—21no—
650C22×D17—21no—
651C22×D17—21no—
652C22×D17—44no—
653C22×D17—44no—
654C22×D17—44no—
655C22×D17—44no—
656C22×D17—44no—
657C22×D17—44no—
658C22×D17—44no—
659C22×D17—44no—
660C22×D17—44no—
661C22×D17—44no—
662C22×D17—44no—
663C22×D17—44no—
664C22×D17C22×D412yes—
665C22×D17C2×#4112yes—
666C22×D17C2×#4112yes—
667C22×D17C2×#4112yes—
668C22×D17C2×#4112yes—
669C22×D17C2×#4112yes—
670D4×C17—28no—
671C2×C4×C17—21no—
672C2×C4×C17—21no—
673C2×C4×C17—21no—
674C2×C4×C17—21no—
675C2×C4×C17—21no—
676C2×C4×C17—21no—
677C2×C4×C17—28no—
678C2×C4×C17—21no—
679C2×C4×C17—21no—
680C2×C4×C17—21no—
681C2×C4×C17—21no—
682C2×C4×C17—21no—
683C2×C4×C17—21no—
684C2×C4×C17—21no—
685C2×C4×C17—21no—
686C2×C4×C17—21no—
687C2×C4×C17—21no—
688C2×C4×C17—21no—
689C2×C4×C17—21no—
690C2×C4×C17—21no—
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—44no—
706C2×C4×C17C22×D412yes—
707C2×C4×C17C22×D412yes—
708C2×C4×C17C2×#4112yes—
709C2×C4×C17C2×#4112yes—
710C2×C4×C17C2×#4112yes—
711C2×C4×C17H(5,𝔽2)12yes—
712C22⋊D17—28no—
713C22⋊D17—28no—
714C22⋊D17—44no—
715C22⋊D17—44no—
716C2×Dic17—21no—
717C2×Dic17—21no—
718C2×Dic17—21no—
719C2×Dic17—21no—
720C2×Dic17—21no—
721C2×Dic17—21no—
722C2×Dic17—21no—
723C2×Dic17—21no—
724C2×Dic17—21no—
725C2×Dic17—21no—
726C2×Dic17—21no—
727C2×Dic17—21no—
728C2×Dic17—21no—
729C2×Dic17—21no—
730C2×Dic17—21no—
731C2×Dic17—21no—
732C2×Dic17—21no—
733C2×Dic17—21no—
734C2×Dic17—21no—
735C2×Dic17—21no—
736C2×Dic17—21no—
737C2×Dic17—21no—
738C2×Dic17—21no—
739C2×Dic17—21no—
740C2×Dic17—21no—
741C2×Dic17—21no—
742C2×Dic17—21no—
743C2×Dic17—21no—
744C2×Dic17—21no—
745C2×Dic17—21no—
746C2×Dic17—44no—
747C2×Dic17—44no—
748C2×Dic17C22×D412yes—
749C2×Dic17C22×D412yes—
750C2×Dic17C22×D412yes—
751C2×Dic17C2×#4112yes—
752C2×Dic17C2×#4112yes—
753C2×Dic17C2×#4112yes—
754D68—28no—
755D68—28no—
756D68—44no—
757D68—44no—
758C4×D17—28no—
759C4×D17—28no—
760C4×D17—28no—
761C4×D17—44no—
762C4×D17—44no—
763C4×D17—44no—
764C4×D17—44no—
765C4×D17—44no—
766C4×D17—44no—
767C4×D17—44no—
768C4×D17—44no—
769C4×D17—44no—
770Dic34—44no—
771C2×#529—171no—
772C22×C4×D4—171no—
773#2480—171no—
774#2480—171no—
775#2468—171no—
776#2468—171no—
777#2457—171no—
778#2457—171no—
779#2454—171no—
780#2447—171no—
781#2442—171no—
782#2435—171no—
783#2427—171no—
784#2420—171no—
785#2418—171no—
786#2418—171no—
787#2417—171no—
788#2408—171no—
789#2395—171no—
790#2395D1711yescharacteristic, complemented
791#2392—171no—
792#2392—171no—
793C4×#124—171no—
794C4×C22⋊Q8—171no—
795C4×#121—171no—
796C4×#120—171no—
797C4×#120—171no—
798#2293—171no—
799#2280—171no—
800#2280—171no—
801C42×D4—171no—
802C22×C17—22no—
803C22×C17—22no—
804C22×C17—22no—
805C22×C17—22no—
806C22×C17—22no—
807C22×C17—22no—
808C22×C17—41no—
809C22×C17—41no—
810C22×C17—41no—
811C22×C17—41no—
812C22×C17—41no—
813C22×C17—41no—
814C22×C17—41no—
815C22×C17—41no—
816C22×C17C23×D411yescharacteristic
817C22×C17C22×#4111yescharacteristic
818C22×C17C22×#4111yescharacteristic
819C22×C17C22×#4111yescharacteristic
820C22×C17C22×#4111yescharacteristic
821C22×C17C2×H(5,𝔽2)11yescharacteristic
822C22×C17#58511yescharacteristic
823C2×D17—22no—
824C2×D17—22no—
825C2×D17—22no—
826C2×D17—22no—
827C2×D17—22no—
828C2×D17—22no—
829C2×D17—22no—
830C2×D17—22no—
831C2×D17—22no—
832C2×D17—22no—
833C2×D17—22no—
834C2×D17—22no—
835C2×D17—22no—
836C2×D17—22no—
837C2×D17—22no—
838C2×D17—416no—
839C2×D17—416no—
840C2×D17—41no—
841C2×D17—41no—
842C2×D17—41no—
843C2×D17—41no—
844C2×D17—41no—
845C2×D17—41no—
846C2×D17—41no—
847C2×D17—41no—
848C2×D17—41no—
849C2×D17—41no—
850C2×D17—41no—
851C2×D17—41no—
852C2×D17#52914yescomplemented
853C4×C17—22no—
854C4×C17—22no—
855C4×C17—22no—
856C4×C17—41no—
857C4×C17—41no—
858C4×C17—41no—
859C4×C17—41no—
860C4×C17—41no—
861C4×C17—41no—
862C4×C17—41no—
863C4×C17—41no—
864C4×C17—41no—
865C4×C17#54614yes—
866Dic17—22no—
867Dic17—22no—
868Dic17—22no—
869Dic17—41no—
870Dic17—41no—
871Dic17—41no—
872Dic17—41no—
873Dic17—41no—
874Dic17—41no—
875Dic17—41no—
876Dic17—41no—
877Dic17#52514yes—
878C23×D4—171no—
879C24×C4—171no—
880C24×C4—171no—
881#529—348no—
882C2×#126—171no—
883C2×#126—171no—
884C2×#125—171no—
885C2×#124—171no—
886C2×#124—171no—
887C2×#123—171no—
888C2×#123—171no—
889C2×C22⋊Q8—171no—
890C2×C22⋊Q8—171no—
891C2×#121—171no—
892C2×#121—171no—
893C2×#120—171no—
894C2×#120—171no—
895C2×C4×Q8—171no—
896C2×C4×D4—171no—
897C2×C4×D4—171no—
898C2×C4×D4—171no—
899C2×C4×D4—171no—
900C2×C4×D4—171no—
901C2×C4×D4—171no—
902C2×C4×D4—171no—
903C2×C4×D4—171no—
904C2×C4×D4—171no—
905C2×C4×D4—171no—
906C2×C4×D4—171no—
907C2×C4×D4—171no—
908C2×C4×D4—171no—
909C2×C4×D4—171no—
910C2×C4×D4—348no—
911C2×C4×D4C2×D1711yescharacteristic
912C2×#117—171no—
913C2×#117—171no—
914C2×#117—171no—
915C2×#117C2×D1711yescharacteristic, complemented
916C22×C4⋊C4—171no—
917C22×C22⋊C4—171no—
918C22×C22⋊C4—171no—
919C22×C42—171no—
920C22×C42—171no—
921#400—171no—
922#400C2×D1711yescharacteristic, complemented
923#399—171no—
924#399C2×D1711yescharacteristic, complemented
925#398—171no—
926#398—171no—
927#398—171no—
928#398C2×D1711yescharacteristic, complemented
929#397—171no—
930#397—171no—
931#397—171no—
932#397—171no—
933#397—171no—
934#397C2×D1711yescharacteristic, complemented
935#397C2×D1711yescharacteristic, complemented
936#397C2×D1711yescharacteristic, complemented
937#396—171no—
938#396—171no—
939#396—171no—
940#396—171no—
941#394—171no—
942#394—171no—
943#394—171no—
944#394—171no—
945#394—171no—
946#394—171no—
947#394—171no—
948#394—171no—
949#394C2×D1711yescharacteristic
950#394C2×D1711yescharacteristic
951#392—171no—
952#392—171no—
953#391—171no—
954#391—171no—
955#390—171no—
956#390—171no—
957#390—171no—
958#390—171no—
959#389—171no—
960#389—171no—
961#389—171no—
962#389—171no—
963#388—171no—
964#388—171no—
965#388—171no—
966#388—171no—
967#388—171no—
968#388—171no—
969#388—171no—
970#388—171no—
971#388—171no—
972#388—171no—
973#387—171no—
974#387—171no—
975#386—171no—
976#386—171no—
977#386—171no—
978#386—171no—
979#386—171no—
980#386—171no—
981#386—171no—
982#386—171no—
983#385—171no—
984#385—171no—
985#385—171no—
986#385—171no—
987#385—171no—
988#385—171no—
989#385—171no—
990#385—171no—
991#382—171no—
992#381—171no—
993#381—171no—
994#381—171no—
995#381—171no—
996#380—171no—
997#380—171no—
998#380—171no—
999#380—171no—
1000#380—171no—
1001#380—171no—
1002#380—171no—
1003#380—171no—
1004#380—171no—
1005#380—171no—
1006#379—171no—
1007#379—171no—
1008#379—171no—
1009#379—171no—
1010#379—171no—
1011#379—171no—
1012C4×C4⋊C4—171no—
1013C4×C4⋊C4—171no—
1014C4×C4⋊C4—171no—
1015C4×C4⋊C4—171no—
1016C4×C4⋊C4C2×D1711yescharacteristic, complemented
1017C4×C4⋊C4C2×D1711yescharacteristic, complemented
1018C4×C22⋊C4—171no—
1019C4×C22⋊C4—171no—
1020C4×C22⋊C4—171no—
1021C4×C22⋊C4—171no—
1022C4×C22⋊C4—171no—
1023C4×C22⋊C4—171no—
1024C4×C22⋊C4—171no—
1025C4×C22⋊C4—171no—
1026C4×C22⋊C4—171no—
1027C4×C22⋊C4—171no—
1028C4×C22⋊C4—171no—
1029C4×C22⋊C4—171no—
1030C4×C22⋊C4—171no—
1031C4×C22⋊C4C2×D1711yescharacteristic, complemented
1032C4×C22⋊C4C2×D1711yescharacteristic, complemented
1033C4×C22⋊C4C2×D1711yescharacteristic, complemented
1034C43—171no—
1035C2×C17—42no—
1036C2×C17—42no—
1037C2×C17C2×#52511yescharacteristic
1038C2×C17C2×#52911yescharacteristic
1039C2×C17#346011yescharacteristic
1040C2×C17C2×#54611yescharacteristic
1041C2×C17D4×#4111yescharacteristic
1042C2×C17#347511yescharacteristic
1043C2×C17#348111yescharacteristic
1044D17—24no—
1045D17—42no—
1046D17—42no—
1047D17—42no—
1048C25—171no—
1049C25—171no—
1050C22×Q8—171no—
1051C22×D4—171no—
1052C22×D4—171no—
1053C22×D4—171no—
1054C22×D4—171no—
1055C22×D4—171no—
1056C22×D4—171no—
1057C22×D4—171no—
1058C22×D4—171no—
1059C22×D4—344no—
1060C22×D4—344no—
1061C22×D4—344no—
1062C22×D4C22×D1711yescharacteristic
1063C23×C4—171no—
1064C23×C4—171no—
1065C23×C4—171no—
1066C23×C4—171no—
1067C23×C4—171no—
1068C23×C4—171no—
1069C23×C4—171no—
1070C23×C4—171no—
1071C23×C4—171no—
1072C23×C4—171no—
1073C23×C4—171no—
1074C23×C4—171no—
1075C23×C4—171no—
1076C23×C4—171no—
1077C23×C4—344no—
1078C23×C4—344no—
1079C23×C4—344no—
1080C23×C4—344no—
1081C23×C4—682no—
1082C23×C4—682no—
1083C23×C4C22×D1711yescharacteristic
1084C23×C4C22×D1711yescharacteristic
1085#126—344no—
1086#126—344no—
1087#125—344no—
1088#124—344no—
1089#124—344no—
1090#123—344no—
1091#123—344no—
1092C22⋊Q8—344no—
1093C22⋊Q8—344no—
1094#121—344no—
1095#121—344no—
1096#120—344no—
1097#120—344no—
1098C4×Q8—344no—
1099C4×D4—24no—
1100C4×D4—178no—
1101C4×D4—344no—
1102C4×D4—344no—
1103C4×D4—344no—
1104C4×D4—344no—
1105C4×D4—344no—
1106C4×D4—344no—
1107C4×D4—344no—
1108C4×D4—344no—
1109C4×D4—344no—
1110C4×D4—344no—
1111C4×D4—344no—
1112C4×D4—682no—
1113C4×D4—682no—
1114#117—24no—
1115#117—344no—
1116#117—682no—
1117#117—682no—
1118C2×C4⋊C4—171no—
1119C2×C4⋊C4—171no—
1120C2×C4⋊C4—171no—
1121C2×C4⋊C4—171no—
1122C2×C4⋊C4—171no—
1123C2×C4⋊C4—171no—
1124C2×C4⋊C4—171no—
1125C2×C4⋊C4—171no—
1126C2×C4⋊C4—171no—
1127C2×C4⋊C4—171no—
1128C2×C4⋊C4—171no—
1129C2×C4⋊C4—171no—
1130C2×C4⋊C4—171no—
1131C2×C4⋊C4—171no—
1132C2×C4⋊C4—171no—
1133C2×C4⋊C4—171no—
1134C2×C4⋊C4—171no—
1135C2×C4⋊C4—171no—
1136C2×C4⋊C4—171no—
1137C2×C4⋊C4—171no—
1138C2×C4⋊C4—171no—
1139C2×C4⋊C4—344no—
1140C2×C4⋊C4C22×D1711yescharacteristic
1141C2×C4⋊C4C22×D1711yescharacteristic
1142C2×C4⋊C4C22×D1711yescharacteristic
1143C2×C4⋊C4C22×D1711yescharacteristic
1144C2×C4⋊C4C22×D1711yescharacteristic
1145C2×C4⋊C4C22×D1711yescharacteristic
1146C2×C4⋊C4C22×D1711yescharacteristic
1147C2×C22⋊C4—171no—
1148C2×C22⋊C4—171no—
1149C2×C22⋊C4—171no—
1150C2×C22⋊C4—171no—
1151C2×C22⋊C4—171no—
1152C2×C22⋊C4—171no—
1153C2×C22⋊C4—171no—
1154C2×C22⋊C4—171no—
1155C2×C22⋊C4—171no—
1156C2×C22⋊C4—171no—
1157C2×C22⋊C4—171no—
1158C2×C22⋊C4—171no—
1159C2×C22⋊C4—171no—
1160C2×C22⋊C4—171no—
1161C2×C22⋊C4—171no—
1162C2×C22⋊C4—171no—
1163C2×C22⋊C4—171no—
1164C2×C22⋊C4—171no—
1165C2×C22⋊C4—171no—
1166C2×C22⋊C4—171no—
1167C2×C22⋊C4—171no—
1168C2×C22⋊C4—171no—
1169C2×C22⋊C4—171no—
1170C2×C22⋊C4—171no—
1171C2×C22⋊C4—171no—
1172C2×C22⋊C4—171no—
1173C2×C22⋊C4—171no—
1174C2×C22⋊C4—171no—
1175C2×C22⋊C4—171no—
1176C2×C22⋊C4—171no—
1177C2×C22⋊C4—171no—
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—344no—
1188C2×C22⋊C4—344no—
1189C2×C22⋊C4C22×D1711yescharacteristic
1190C2×C22⋊C4C22×D1711yescharacteristic
1191C2×C22⋊C4C22×D1711yescharacteristic
1192C2×C22⋊C4C22×D1711yescharacteristic
1193C2×C22⋊C4C22×D1711yescharacteristic
1194C2×C22⋊C4C22×D1711yescharacteristic
1195C2×C22⋊C4C22×D1711yescharacteristic
1196C2×C22⋊C4C22×D1711yescharacteristic
1197C2×C22⋊C4C22×D1711yescharacteristic
1198C2×C22⋊C4C22×D1711yescharacteristic
1199C2×C42—171no—
1200C2×C42—171no—
1201C2×C42—171no—
1202C2×C42—171no—
1203C2×C42—171no—
1204C2×C42—171no—
1205C2×C42—171no—
1206C2×C42—171no—
1207C2×C42—171no—
1208C2×C42—171no—
1209C2×C42—171no—
1210C2×C42—171no—
1211C2×C42—344no—
1212C2×C42—344no—
1213C2×C42C22×D1711yescharacteristic
1214C2×C42C22×D1711yescharacteristic
1215C2×C42C22×D1711yescharacteristic
1216C2×C42C22×D1711yescharacteristic
1217C2×C42C22×D1711yescharacteristic
1218#95—171no—
1219#95—171no—
1220#95—171no—
1221#95—171no—
1222#95—171no—
1223#95—171no—
1224#95—171no—
1225#95—171no—
1226#95—171no—
1227#95—171no—
1228#95—171no—
1229#95—171no—
1230#95—171no—
1231#95—171no—
1232#95—171no—
1233#95—171no—
1234#95—171no—
1235#95—171no—
1236#95—171no—
1237#95—171no—
1238#95—171no—
1239#95—171no—
1240#95C22×D1711yescharacteristic
1241#95C22×D1711yescharacteristic
1242#95C22×D1711yescharacteristic
1243#95C22×D1711yescharacteristic
1244#95C22×D1711yescharacteristic
1245#95C22×D1711yescharacteristic
1246#95C22×D1711yescharacteristic
1247#95C22×D1711yescharacteristic
1248#95C22×D1711yescharacteristic
1249#95C22×D1711yescharacteristic
1250C17#3470011yescharacteristic, complemented, Sylow
1251C24—171no—
1252C24—171no—
1253C24—171no—
1254C24—171no—
1255C24—342no—
1256C24—342no—
1257C24—342no—
1258C24—342no—
1259C24—342no—
1260C24—342no—
1261C24—342no—
1262C24—342no—
1263C24—342no—
1264C24—342no—
1265C24—681no—
1266C24—681no—
1267C24—681no—
1268C24—681no—
1269C24C23×D1711yescharacteristic
1270C24C23×D1711yescharacteristic
1271C2×Q8—342no—
1272C2×Q8—342no—
1273C2×Q8—342no—
1274C2×D4—22no—
1275C2×D4—22no—
1276C2×D4—22no—
1277C2×D4—174no—
1278C2×D4—174no—
1279C2×D4—174no—
1280C2×D4—342no—
1281C2×D4—342no—
1282C2×D4—342no—
1283C2×D4—342no—
1284C2×D4—342no—
1285C2×D4—342no—
1286C2×D4—342no—
1287C2×D4—342no—
1288C2×D4—342no—
1289C2×D4—342no—
1290C2×D4—342no—
1291C2×D4—342no—
1292C2×D4—3432no—
1293C2×D4—342no—
1294C2×D4—342no—
1295C2×D4—342no—
1296C2×D4—342no—
1297C2×D4—342no—
1298C2×D4—681no—
1299C2×D4—681no—
1300C2×D4—681no—
1301C2×D4—681no—
1302C22×C4—22no—
1303C22×C4—22no—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—171no—
1308C22×C4—171no—
1309C22×C4—171no—
1310C22×C4—171no—
1311C22×C4—174no—
1312C22×C4—174no—
1313C22×C4—174no—
1314C22×C4—171no—
1315C22×C4—171no—
1316C22×C4—171no—
1317C22×C4—171no—
1318C22×C4—171no—
1319C22×C4—171no—
1320C22×C4—171no—
1321C22×C4—171no—
1322C22×C4—342no—
1323C22×C4—342no—
1324C22×C4—342no—
1325C22×C4—342no—
1326C22×C4—342no—
1327C22×C4—342no—
1328C22×C4—342no—
1329C22×C4—342no—
1330C22×C4—342no—
1331C22×C4—342no—
1332C22×C4—342no—
1333C22×C4—342no—
1334C22×C4—342no—
1335C22×C4—342no—
1336C22×C4—342no—
1337C22×C4—342no—
1338C22×C4—342no—
1339C22×C4—342no—
1340C22×C4—342no—
1341C22×C4—342no—
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—681no—
1354C22×C4—681no—
1355C22×C4—681no—
1356C22×C4—681no—
1357C22×C4—681no—
1358C22×C4—681no—
1359C22×C4—6816no—
1360C22×C4—6816no—
1361C22×C4—681no—
1362C22×C4—681no—
1363C22×C4D4×D1714yes—
1364C22×C4C23×D1711yescharacteristic
1365C22×C4C23×D1711yescharacteristic
1366C22×C4C23×D1711yescharacteristic
1367C22×C4C23×D1711yescharacteristic
1368C22×C4C23×D1711yescharacteristic
1369C22×C4C23×D1711yescharacteristic
1370C22×C4C23×D1711yescharacteristic
1371C22×C4C23×D1711yescharacteristic
1372C22×C4C23×D1711yescharacteristic
1373C22×C4C23×D1711yescharacteristic
1374C22×C4C23×D1711yescharacteristic
1375C22×C4C23×D1711yescharacteristic
1376C22×C4C23×D1711yescharacteristic
1377C4⋊C4—22no—
1378C4⋊C4—22no—
1379C4⋊C4—22no—
1380C4⋊C4—22no—
1381C4⋊C4—22no—
1382C4⋊C4—22no—
1383C4⋊C4—41no—
1384C4⋊C4—174no—
1385C4⋊C4—342no—
1386C4⋊C4—342no—
1387C4⋊C4—342no—
1388C4⋊C4—342no—
1389C4⋊C4—342no—
1390C4⋊C4—342no—
1391C4⋊C4—342no—
1392C4⋊C4—342no—
1393C4⋊C4—342no—
1394C4⋊C4—342no—
1395C4⋊C4—342no—
1396C4⋊C4—342no—
1397C4⋊C4—342no—
1398C4⋊C4—681no—
1399C4⋊C4—681no—
1400C4⋊C4—681no—
1401C4⋊C4—681no—
1402C4⋊C4—681no—
1403C4⋊C4—681no—
1404C4⋊C4—681no—
1405C22⋊C4—22no—
1406C22⋊C4—22no—
1407C22⋊C4—22no—
1408C22⋊C4—22no—
1409C22⋊C4—22no—
1410C22⋊C4—22no—
1411C22⋊C4—22no—
1412C22⋊C4—22no—
1413C22⋊C4—41no—
1414C22⋊C4—41no—
1415C22⋊C4—174no—
1416C22⋊C4—174no—
1417C22⋊C4—342no—
1418C22⋊C4—342no—
1419C22⋊C4—342no—
1420C22⋊C4—342no—
1421C22⋊C4—342no—
1422C22⋊C4—342no—
1423C22⋊C4—342no—
1424C22⋊C4—342no—
1425C22⋊C4—342no—
1426C22⋊C4—342no—
1427C22⋊C4—342no—
1428C22⋊C4—342no—
1429C22⋊C4—342no—
1430C22⋊C4—342no—
1431C22⋊C4—342no—
1432C22⋊C4—342no—
1433C22⋊C4—342no—
1434C22⋊C4—342no—
1435C22⋊C4—342no—
1436C22⋊C4—342no—
1437C22⋊C4—342no—
1438C22⋊C4—342no—
1439C22⋊C4—342no—
1440C22⋊C4—342no—
1441C22⋊C4—342no—
1442C22⋊C4—342no—
1443C22⋊C4—681no—
1444C22⋊C4—681no—
1445C22⋊C4—681no—
1446C22⋊C4—681no—
1447C22⋊C4—681no—
1448C22⋊C4—681no—
1449C22⋊C4—681no—
1450C22⋊C4—681no—
1451C22⋊C4—681no—
1452C22⋊C4—681no—
1453C22⋊C4—681no—
1454C22⋊C4—681no—
1455C42—22no—
1456C42—22no—
1457C42—22no—
1458C42—22no—
1459C42—22no—
1460C42—174no—
1461C42—342no—
1462C42—342no—
1463C42—342no—
1464C42—342no—
1465C42—342no—
1466C42—342no—
1467C42—342no—
1468C42—342no—
1469C42—342no—
1470C42—342no—
1471C42—681no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—172no—
1485C23—172no—
1486C23—172no—
1487C23—172no—
1488C23—172no—
1489C23—172no—
1490C23—348no—
1491C23—348no—
1492C23—341no—
1493C23—341no—
1494C23—341no—
1495C23—341no—
1496C23—341no—
1497C23—341no—
1498C23—341no—
1499C23—341no—
1500C23—341no—
1501C23—341no—
1502C23—341no—
1503C23—341no—
1504C23—341no—
1505C23—341no—
1506C23—341no—
1507C23—341no—
1508C23—341no—
1509C23—341no—
1510C23—341no—
1511C23—341no—
1512C23—341no—
1513C23—341no—
1514C23—684no—
1515C23—684no—
1516C23—684no—
1517C23—684no—
1518C23—684no—
1519C23—684no—
1520C23—684no—
1521C23—684no—
1522C23—684no—
1523C23—684no—
1524C23—684no—
1525C23—684no—
1526C23C2×D4×D1712yes—
1527C23#41×D1712yes—
1528C23C24×D1711yescharacteristic
1529Q8—684no—
1530D4—28no—
1531D4—348no—
1532D4—348no—
1533D4—348no—
1534D4—348no—
1535D4—684no—
1536D4—684no—
1537D4—684no—
1538D4—684no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—28no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—44no—
1574C2×C4—172no—
1575C2×C4—172no—
1576C2×C4—172no—
1577C2×C4—172no—
1578C2×C4—172no—
1579C2×C4—172no—
1580C2×C4—348no—
1581C2×C4—341no—
1582C2×C4—341no—
1583C2×C4—341no—
1584C2×C4—341no—
1585C2×C4—341no—
1586C2×C4—341no—
1587C2×C4—348no—
1588C2×C4—348no—
1589C2×C4—341no—
1590C2×C4—341no—
1591C2×C4—341no—
1592C2×C4—341no—
1593C2×C4—341no—
1594C2×C4—341no—
1595C2×C4—341no—
1596C2×C4—341no—
1597C2×C4—341no—
1598C2×C4—341no—
1599C2×C4—341no—
1600C2×C4—341no—
1601C2×C4—341no—
1602C2×C4—341no—
1603C2×C4—341no—
1604C2×C4—341no—
1605C2×C4—341no—
1606C2×C4—341no—
1607C2×C4—341no—
1608C2×C4—341no—
1609C2×C4—341no—
1610C2×C4—341no—
1611C2×C4—341no—
1612C2×C4—341no—
1613C2×C4—684no—
1614C2×C4—684no—
1615C2×C4—684no—
1616C2×C4—684no—
1617C2×C4—684no—
1618C2×C4—684no—
1619C2×C4—684no—
1620C2×C4—684no—
1621C2×C4—684no—
1622C2×C4—684no—
1623C2×C4—684no—
1624C2×C4C2×D4×D1712yes—
1625C2×C4C2×D4×D1712yes—
1626C2×C4#41×D1712yes—
1627C2×C4#41×D1712yes—
1628C2×C4#41×D1712yes—
1629C2×C4#1058769612yes—
1630C22—22no—
1631C22—22no—
1632C22—22no—
1633C22—22no—
1634C22—22no—
1635C22—22no—
1636C22—41no—
1637C22—41no—
1638C22—41no—
1639C22—41no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—174no—
1645C22—342no—
1646C22—342no—
1647C22—342no—
1648C22—342no—
1649C22—342no—
1650C22—342no—
1651C22—342no—
1652C22—342no—
1653C22—342no—
1654C22—342no—
1655C22—342no—
1656C22—342no—
1657C22—342no—
1658C22—342no—
1659C22—342no—
1660C22—6816no—
1661C22—6816no—
1662C22—681no—
1663C22—681no—
1664C22—681no—
1665C22—681no—
1666C22—681no—
1667C22—681no—
1668C22—681no—
1669C22—681no—
1670C22—681no—
1671C22—681no—
1672C22—681no—
1673C22—681no—
1674C22C22×D4×D1711yescharacteristic
1675C22C2×#41×D1711yescharacteristic
1676C22C2×#41×D1711yescharacteristic
1677C22C2×#41×D1711yescharacteristic
1678C22C2×#41×D1711yescharacteristic
1679C22C2×#1058769611yescharacteristic
1680C22#1176364511yescharacteristic
1681C4—22no—
1682C4—22no—
1683C4—22no—
1684C4—41no—
1685C4—41no—
1686C4—41no—
1687C4—41no—
1688C4—41no—
1689C4—41no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—174no—
1694C4—342no—
1695C4—342no—
1696C4—342no—
1697C4—681no—
1698C4—681no—
1699C4—681no—
1700C4—681no—
1701C4—681no—
1702C4—681no—
1703C4—681no—
1704C4—681no—
1705C4#1176345114yes—
1706C2—42no—
1707C2—42no—
1708C2—344no—
1709C2—682no—
1710C2—682no—
1711C2—682no—
1712C2D17×#52511yescharacteristic
1713C2D17×#52911yescharacteristic
1714C2#1454220511yescharacteristic
1715C2C2×#1176345111yescharacteristic
1716C2#1454227011yescharacteristic
1717C2#1454233611yescharacteristic
1718C2#1454239011yescharacteristic
subgroupG/H
centerC22×C4C23×D17
commutator, socle, cosocleC23×C17C25
FrattiniC23C24×D17
FittingC17×#2395C2
prime radical#14532135C2
hypercenter#2395D17
hypocenterC17#34700
LCSG ▷ C23×C17 ▷ C17
UCSC1 ◁ C22×C4 ◁ #2395

Complements

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

NH ≅ G/Ntype
1. C2×#11763337C2semidirect
2. C2×C4×D4×D17C2semidirect
3. #14533031C2semidirect
4. #14533023C2semidirect
5. #14532851C2semidirect
6. #14532843C2semidirect
7. #14532694C2semidirect
8. #14532686C2semidirect
9. #14532651C2semidirect
10. #14532566C2semidirect
11. #14532501C2semidirect
12. #14532430C2semidirect
13. #14532356C2semidirect
14. #14532271C2semidirect
15. #14532249C2semidirect
16. #14532247C2semidirect
17. #14532230C2semidirect
19. #14532047C2semidirect
20. #14532026C2semidirect
21. #14532024C2semidirect
22. C4×#10587571C2semidirect
23. C4×#10587582C2semidirect
24. C4×#10587570C2semidirect
25. C4×#10587568C2semidirect
26. C4×#10587568C2semidirect
27. #14531247C2semidirect
28. #14531165C2semidirect
29. #14531163C2semidirect
30. C4×#10587579C2semidirect
31. C17×#2395C2semidirect
36. C2×#10587584C22semidirect
37. C2×#10587565C22semidirect
38. C2×#10587575C22semidirect
41. C2×#10587580C22semidirect
42. C2×#10587569C22semidirect
44. C2×#10587582C22semidirect
49. C2×C4×Dic34C22semidirect
52. C2×C4×D68C22semidirect
53. C2×C4×D68C22semidirect
60. C2×C4×C22⋊D17C22semidirect
61. C2×C4×C22⋊D17C22semidirect
65. C2×#10587612C22semidirect
66. C2×#10587558C22semidirect
67. C2×#10587558C22semidirect
72. C2×C42×D17C22semidirect
73. #11762751C22semidirect
74. #11762744C22semidirect
75. #11762742C22semidirect
76. #11762742C22semidirect
77. #11762741C22semidirect
78. #11762738C22semidirect
79. #11762738C22semidirect
80. #11762737C22semidirect
81. #11762736C22semidirect
82. #11762735C22semidirect
83. #11762732C22semidirect
84. #11762731C22semidirect
85. #11762731C22semidirect
86. #11762731C22semidirect
88. #11762727C22semidirect
91. #11762726C22semidirect
92. #11762725C22semidirect
93. #11762724C22semidirect
97. #11762713C22semidirect
98. #11762713C22semidirect
103. #11762706C22semidirect
104. #11762706C22semidirect
105. #11762706C22semidirect
106. #11762704C22semidirect
107. #11762702C22semidirect
108. #11762702C22semidirect
109. #11762701C22semidirect
110. #11762701C22semidirect
111. #11762701C22semidirect
112. #11762698C22semidirect
113. #11762698C22semidirect
114. #11762697C22semidirect
115. #11762697C22semidirect
116. #11762697C22semidirect
117. #11762695C22semidirect
118. #11762691C22semidirect
121. #11762687C22semidirect
122. #11762687C22semidirect
123. #11762687C22semidirect
124. #11762686C22semidirect
125. #11762686C22semidirect
126. #11762685C22semidirect
127. #11762684C22semidirect
128. #11762684C22semidirect
132. #11762683C22semidirect
133. #11762683C22semidirect
135. #11762673C22semidirect
136. #11762671C22semidirect
137. #11762671C22semidirect
138. #11762670C22semidirect
139. #11762670C22semidirect
143. #11762668C22semidirect
144. #11762667C22semidirect
145. #11762667C22semidirect
148. #11762666C22semidirect
149. #11762666C22semidirect
156. C4⋊C4×Dic17C22semidirect
157. C4⋊C4×Dic17C22semidirect
158. C4×#63225C22semidirect
159. C4×#63225C22semidirect
163. C4×#63227C22semidirect
164. C4×#63227C22semidirect
165. C4×#63227C22semidirect
166. C4×#63227C22semidirect
167. C4×#63227C22semidirect
168. C4×C22⋊Dic17C22semidirect
171. #11762656C22semidirect
172. #11762656C22semidirect
173. C42×Dic17C22semidirect
175. C2×C17×#117C22semidirect
176. C17×#400C22semidirect
177. C17×#399C22semidirect
178. C17×#398C22semidirect
179. C17×#397C22semidirect
180. C17×#397C22semidirect
181. C17×#397C22semidirect
184. C4×C4⋊C4×C17C22semidirect
185. C4×C4⋊C4×C17C22semidirect
186. C4×C22⋊C4×C17C22semidirect
187. C4×C22⋊C4×C17C22semidirect
188. C4×C22⋊C4×C17C22semidirect
262. C4×C22⋊D17D4semidirect
790. #2395D17semidirect
852. C2×D17#529semidirect
915. C2×#117C2×D17semidirect
922. #400C2×D17semidirect
924. #399C2×D17semidirect
928. #398C2×D17semidirect
934. #397C2×D17semidirect
935. #397C2×D17semidirect
936. #397C2×D17semidirect
1016. C4×C4⋊C4C2×D17semidirect
1017. C4×C4⋊C4C2×D17semidirect
1031. C4×C22⋊C4C2×D17semidirect
1032. C4×C22⋊C4C2×D17semidirect
1033. C4×C22⋊C4C2×D17semidirect
1250. C17#34700semidirect

Maximal subgroups

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

subgroupindex
C2×#117633372
C2×C4×D4×D172
#145330312
#145330232
#145328512
#145328432
#145326942
#145326862
#145326512
#145325662
#145325012
#145324302
#145323562
#145322712
#145322492
#145322472
#145322302
#145321352
#145320472
#145320262
#145320242
C4×#105875712
C4×#105875822
C4×#105875702
C4×#105875682
#145312472
#145311652
#145311632
C4×#105875792
C17×#23952
#3470017