Finite Group Databasebeta

← C4×#11763547 #17197007

Subgroups — C4×#11763547 #17197007

Order 4352.

2568 conjugacy classes of subgroups.

The subgroup lattice has 1656 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11763547C211yesmaximal, characteristic
2#14531975C211yesmaximal, characteristic, complemented
3#14531971C211yesmaximal, characteristic, complemented
4#14531959C211yesmaximal, characteristic, complemented
5#14531942C211yesmaximal, characteristic, complemented
6#14531941C211yesmaximal, characteristic, complemented
7#14531938C211yesmaximal, characteristic, complemented
8#14531937C211yesmaximal, characteristic, complemented
9#14531936C211yesmaximal, characteristic, complemented
10#14531935C211yesmaximal, characteristic, complemented
11#14531930C211yesmaximal, characteristic, complemented
12#14531929C211yesmaximal, characteristic, complemented
13#14531928C211yesmaximal, characteristic, complemented
14#14531924C211yesmaximal, characteristic, complemented
15#14531922C211yesmaximal, characteristic, complemented
16#14531921C211yesmaximal, characteristic, complemented
17C4×#10587626C211yesmaximal, characteristic, complemented
18C4×#10587584C211yesmaximal, characteristic, complemented
19C4×#10587565C211yesmaximal, characteristic, complemented
20C4×#10587580C211yesmaximal, characteristic, complemented
21C4×#10587572C211yesmaximal, characteristic, complemented
22C4×#10587615C211yesmaximal, characteristic, complemented
23C4×#10587616C211yesmaximal, characteristic, complemented
24C4×#10587570C211yesmaximal, characteristic, complemented
25C4×#10587625C211yesmaximal, characteristic, complemented
26C4×#10587625C211yesmaximal, characteristic, complemented
27C4×#10587624C211yesmaximal, characteristic, complemented
28C4×#10587568C211yesmaximal, characteristic, complemented
29C4×#10587623C211yesmaximal, characteristic, complemented
30C4×#10587623C211yesmaximal, characteristic, complemented
31C4×C17×#121C211yesmaximal, characteristic, complemented
32C23×C4×D17C2211yescharacteristic
33#11763547C4116yesdirect product factor
34C2×#10587626C2211yescharacteristic
35C2×#10587584C2211yescharacteristic
36C2×#10587565C2211yescharacteristic
37C2×#10587580C2211yescharacteristic
38C2×#10587572C2211yescharacteristic
39C2×#10587615C2211yescharacteristic
40C2×#10587616C2211yescharacteristic
41C2×#10587570C2211yescharacteristic
42C2×#10587625C2211yescharacteristic
43C2×#10587625C2211yescharacteristic
44C2×#10587624C2211yescharacteristic
45C2×#10587568C2211yescharacteristic
46C2×#10587623C2211yescharacteristic
47C2×#10587623C2211yescharacteristic
48C2×C4×D68C2211yescharacteristic
49C2×C4×D68C2211yescharacteristic
50C2×C4×C22⋊D17C2211yescharacteristic
51C2×C4×C22⋊D17C2211yescharacteristic
52C2×C4×C22⋊D17C2211yescharacteristic
53C2×C4×C22⋊D17C2211yescharacteristic
54C2×C4×C22⋊D17C2211yescharacteristic
55C2×C4×C22⋊D17C2211yescharacteristic, complemented
56C2×C4×C22⋊D17C2211yescharacteristic, complemented
57C22×C4×Dic17C2211yescharacteristic, complemented
58C2×C42×D17C2211yescharacteristic, complemented
59#11762712C2211yescharacteristic
60#11762712C2211yescharacteristic, complemented
61#11762711C2211yescharacteristic
62#11762710C2211yescharacteristic
63#11762709C2211yescharacteristic
64#11762709C2211yescharacteristic
65#11762709C2211yescharacteristic
66#11762709C2211yescharacteristic
67#11762709C2211yescharacteristic
68#11762709C2211yescharacteristic, complemented
69#11762709C2211yescharacteristic, complemented
70#11762707C2211yescharacteristic, complemented
71#11762706C2211yescharacteristic, complemented
72#11762705C2211yescharacteristic, complemented
73#11762704C2211yescharacteristic, complemented
74#11762704C2211yescharacteristic, complemented
75#11762703C2211yescharacteristic
76#11762703C2211yescharacteristic
77#11762703C2211yescharacteristic, complemented
78#11762702C2211yescharacteristic
79#11762702C2211yescharacteristic, complemented
80#11762701C2211yescharacteristic
81#11762701C2211yescharacteristic
82#11762701C2211yescharacteristic
83#11762700C2211yescharacteristic
84#11762700C2211yescharacteristic
85#11762700C2211yescharacteristic
86#11762700C2211yescharacteristic, complemented
87#11762699C2211yescharacteristic
88#11762699C2211yescharacteristic
89#11762699C2211yescharacteristic
90#11762699C2211yescharacteristic, complemented
91#11762698C2211yescharacteristic
92#11762698C2211yescharacteristic
93#11762698C2211yescharacteristic
94#11762697C2211yescharacteristic
95#11762697C2211yescharacteristic
96#11762697C2211yescharacteristic, complemented
97#11762696C2211yescharacteristic, complemented
98#11762696C2211yescharacteristic, complemented
99#11762695C2211yescharacteristic, complemented
100#11762695C2211yescharacteristic, complemented
101#11762694C2211yescharacteristic, complemented
102#11762694C2211yescharacteristic, complemented
103#11762694C2211yescharacteristic, complemented
104#11762693C2211yescharacteristic, complemented
105#11762693C2211yescharacteristic, complemented
106#11762692C2211yescharacteristic, complemented
107#11762691C2211yescharacteristic, complemented
108#11762690C2211yescharacteristic, complemented
109#11762689C2211yescharacteristic
110#11762689C2211yescharacteristic
111#11762689C2211yescharacteristic
112#11762689C2211yescharacteristic, complemented
113#11762688C2211yescharacteristic
114#11762688C2211yescharacteristic
115#11762688C2211yescharacteristic, complemented
116#11762687C2211yescharacteristic
117#11762687C2211yescharacteristic
118#11762687C2211yescharacteristic
119#11762687C2211yescharacteristic
120#11762686C2211yescharacteristic
121#11762686C2211yescharacteristic
122#11762686C2211yescharacteristic
123#11762686C2211yescharacteristic, complemented
124#11762685C2211yescharacteristic
125#11762685C2211yescharacteristic
126#11762685C2211yescharacteristic
127#11762685C2211yescharacteristic
128#11762685C2211yescharacteristic
129#11762685C2211yescharacteristic, complemented
130#11762685C2211yescharacteristic, complemented
131#11762684C2211yescharacteristic
132#11762684C2211yescharacteristic, complemented
133#11762683C2211yescharacteristic
134#11762683C2211yescharacteristic
135#11762682C2211yescharacteristic, complemented
136#11762681C2211yescharacteristic
137#11762681C2211yescharacteristic
138#11762680C2211yescharacteristic
139#11762680C2211yescharacteristic
140#11762680C2211yescharacteristic
141#11762680C2211yescharacteristic
142#11762680C2211yescharacteristic, complemented
143#11762678C2211yescharacteristic, complemented
144#11762676C2211yescharacteristic, complemented
145#11762676C2211yescharacteristic, complemented
146#11762672C2211yescharacteristic, complemented
147#11762671C2211yescharacteristic, complemented
148#11762670C2211yescharacteristic, complemented
149#11762669C2211yescharacteristic, complemented
150#11762668C2211yescharacteristic, complemented
151#11762667C2211yescharacteristic, complemented
152#11762667C2211yescharacteristic, complemented
153#11762666C2211yescharacteristic, complemented
154#11762664C2211yescharacteristic
155#11762664C2211yescharacteristic
156#11762664C2211yescharacteristic
157C4×#63225C2211yescharacteristic, complemented
158C4×#63225C2211yescharacteristic, complemented
159C4×#63225C2211yescharacteristic, complemented
160C4×C4⋊Dic17C2211yescharacteristic, complemented
161C4×C4⋊Dic17C2211yescharacteristic, complemented
162C4×#63227C2211yescharacteristic
163C4×#63227C2211yescharacteristic
164C4×#63227C2211yescharacteristic
165C4×#63227C2211yescharacteristic
166C4×#63227C2211yescharacteristic
167C4×#63227C2211yescharacteristic
168C4×#63227C2211yescharacteristic, complemented
169C4×C22⋊Dic17C2211yescharacteristic
170C4×C22⋊Dic17C2211yescharacteristic
171C4×C22⋊Dic17C2211yescharacteristic, complemented
172C42×Dic17C2211yescharacteristic, complemented
173C2×C17×#121C2211yescharacteristic
174C2×C4×D4×C17C2211yescharacteristic
175C2×C4×D4×C17C2211yescharacteristic
176C2×C4×D4×C17C2211yescharacteristic, complemented
177C22×C42×C17C2211yescharacteristic, complemented
178C17×#390C2211yescharacteristic
179C17×#389C2211yescharacteristic, complemented
180C17×#388C2211yescharacteristic
181C17×#388C2211yescharacteristic, complemented
182C17×#386C2211yescharacteristic
183C17×#386C2211yescharacteristic, complemented
184C17×#380C2211yescharacteristic, complemented
185C4×C4⋊C4×C17C2211yescharacteristic, complemented
186C4×C22⋊C4×C17C2211yescharacteristic
187C4×C22⋊C4×C17C2211yescharacteristic, complemented
188C24×D17C2311yescharacteristic
189C22×D4×C17C2311yescharacteristic
190C22×D4×C17C2311yescharacteristic
191C22×D4×C17C2311yescharacteristic
192C23×C4×C17C2311yescharacteristic
193C23×C4×C17C2311yescharacteristic
194C23×C4×C17C2311yescharacteristic
195C23×C4×C17C2311yescharacteristic
196C23×C4×C17C2311yescharacteristic
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
207C22×D68C2311yescharacteristic
208C22×D68C2311yescharacteristic
209C22×C4×D17—42no—
210C22×C4×D17—42no—
211C22×C4×D17—42no—
212C22×C4×D17C2311yescharacteristic
213C22×C4×D17C2311yescharacteristic
214C22×C4×D17C2311yescharacteristic
215C22×C4×D17C2311yescharacteristic
216C22×C4×D17C2311yescharacteristic
217C22×C4×D17C2311yescharacteristic
218C22×C4×D17C2311yescharacteristic
219C17×#121C2×C418yescomplemented
220C4×D4×C17—42no—
221C4×D4×C17—42no—
222C4×D4×C17—42no—
223C2×C4⋊C4×C17C2311yescharacteristic
224C2×C4⋊C4×C17C2311yescharacteristic
225C2×C4⋊C4×C17C2311yescharacteristic
226C2×C4⋊C4×C17C2311yescharacteristic
227C2×C4⋊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×C22⋊C4×C17C2311yescharacteristic
236C2×C22⋊C4×C17C2311yescharacteristic
237C2×C22⋊C4×C17C2311yescharacteristic
238C2×C42×C17—42no—
239C2×C42×C17C2311yescharacteristic
240C2×C42×C17C2311yescharacteristic
241C2×C42×C17C2311yescharacteristic
242C2×C42×C17C2311yescharacteristic
243C2×C42×C17C2311yescharacteristic
244C2×C42×C17C2311yescharacteristic
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#10587626C2×C418yescomplemented
259#10587625C2×C418yescomplemented
260#10587625C2×C418yescomplemented
261#10587624C2×C418yescomplemented
262#10587623C2×C418yescomplemented
263#10587623C2×C418yescomplemented
264#10587616C2×C418yescomplemented
265#10587615C2×C418yescomplemented
266C4×C22⋊D17—42no—
267C4×C22⋊D17—42no—
268C4×C22⋊D17—42no—
269C4×C22⋊D17—42no—
270C4×C22⋊D17—42no—
271C4×C22⋊D17—42no—
272C4×C22⋊D17—42no—
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
295C2×#63227C2311yescharacteristic
296C2×#63227C2311yescharacteristic
297C2×#63227C2311yescharacteristic
298C2×C4⋊Dic17C2311yescharacteristic
299C2×C4⋊Dic17C2311yescharacteristic
300C2×C4⋊Dic17C2311yescharacteristic
301C2×C4⋊Dic17C2311yescharacteristic
302C2×C4⋊Dic17C2311yescharacteristic
303C2×C4⋊Dic17C2311yescharacteristic
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×Dic17—42no—
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
329C2×C4×Dic17C2311yescharacteristic
330C2×C4×Dic17C2311yescharacteristic
331#10587584C2×C418yescomplemented
332#10587580C2×C418yescomplemented
333#10587572C2×C418yescomplemented
334#10587570C2×C418yescomplemented
335#10587568C2×C418yescomplemented
336#10587565C2×C418yescomplemented
337C4×D68—42no—
338C4×D68—42no—
339C42×D17—42no—
340C17×#95C2311yescharacteristic
341C17×#95C2311yescharacteristic
342C17×#95C2311yescharacteristic
343C17×#95C2311yescharacteristic
344C17×#95C2311yescharacteristic
345C17×#95C2311yescharacteristic
346#10587502C2311yescharacteristic
347#10587502C2311yescharacteristic
348#10587502C2311yescharacteristic
349#10587502C2311yescharacteristic
350#10587502C2311yescharacteristic
351#10587502C2311yescharacteristic
352#10587502C2311yescharacteristic
353#10587502C2311yescharacteristic
354#10587502C2311yescharacteristic
355#10587502C2311yescharacteristic
356#10587502C2311yescharacteristic
357#10587502C2311yescharacteristic
358#10587502C2311yescharacteristic
359#10587502C2311yescharacteristic
360#10587502C2311yescharacteristic
361#10587502C2311yescharacteristic
362#10587502C2311yescharacteristic
363#10587502C2311yescharacteristic
364#10587502C2311yescharacteristic
365#10587502C2311yescharacteristic
366#10587502C2311yescharacteristic
367#10587502C2311yescharacteristic
368#10587502C2311yescharacteristic
369#10587502C2311yescharacteristic
370#10587502C2311yescharacteristic
371#10587502C2311yescharacteristic
372#10587502C2311yescharacteristic
373#10587502C2311yescharacteristic
374#10587502C2311yescharacteristic
375#10587502C2311yescharacteristic
376C24×C17C2411yescharacteristic
377C24×C17C2411yescharacteristic
378C24×C17C2411yescharacteristic
379C23×D17—41no—
380C23×D17—41no—
381C23×D17—41no—
382C23×D17—41no—
383C23×D17—41no—
384C23×D17—41no—
385C23×D17C22×C414yes—
386C23×D17C2411yescharacteristic
387C23×D17C2411yescharacteristic
388C23×D17C2411yescharacteristic
389C2×D4×C17—41no—
390C2×D4×C17—41no—
391C2×D4×C17—41no—
392C2×D4×C17—41no—
393C2×D4×C17—41no—
394C2×D4×C17—41no—
395C2×D4×C17C22×C414yes—
396C2×D4×C17C22×C414yes—
397C2×D4×C17C22×C414yescomplemented
398C22×C4×C17—22no—
399C22×C4×C17—22no—
400C22×C4×C17—22no—
401C22×C4×C17—22no—
402C22×C4×C17—22no—
403C22×C4×C17—22no—
404C22×C4×C17—22no—
405C22×C4×C17—22no—
406C22×C4×C17—22no—
407C22×C4×C17—41no—
408C22×C4×C17—41no—
409C22×C4×C17—41no—
410C22×C4×C17—41no—
411C22×C4×C17—41no—
412C22×C4×C17C22×C414yescomplemented
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
424C22×C4×C17C2411yescharacteristic
425C2×C22⋊D17—41no—
426C2×C22⋊D17—41no—
427C2×C22⋊D17—41no—
428C2×C22⋊D17—41no—
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⋊D17C22×C414yes—
440C2×C22⋊D17C22×C414yes—
441C2×C22⋊D17C22×C414yes—
442C2×C22⋊D17C22×C414yes—
443C2×C22⋊D17C22×C414yes—
444C2×C22⋊D17C22×C414yescomplemented
445C2×C22⋊D17C22×C414yescomplemented
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×Dic17C22×C414yescomplemented
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×D68—41no—
469C2×D68—41no—
470C2×D68—41no—
471C2×D68—41no—
472C2×D68C22×C414yes—
473C2×D68C22×C414yes—
474C2×C4×D17—22no—
475C2×C4×D17—22no—
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—41no—
484C2×C4×D17—41no—
485C2×C4×D17—41no—
486C2×C4×D17—41no—
487C2×C4×D17—41no—
488C2×C4×D17—41no—
489C2×C4×D17—41no—
490C2×C4×D17—41no—
491C2×C4×D17—41no—
492C2×C4×D17—41no—
493C2×C4×D17—41no—
494C2×C4×D17—416no—
495C2×C4×D17C22×C414yescomplemented
496C4⋊C4×C17—41no—
497C4⋊C4×C17—41no—
498C4⋊C4×C17—41no—
499C4⋊C4×C17—41no—
500C4⋊C4×C17C22×C414yescomplemented
501C22⋊C4×C17—41no—
502C22⋊C4×C17—41no—
503C22⋊C4×C17—41no—
504C22⋊C4×C17—41no—
505C22⋊C4×C17—41no—
506C22⋊C4×C17—41no—
507C22⋊C4×C17—41no—
508C22⋊C4×C17—41no—
509C22⋊C4×C17C22×C414yes—
510C22⋊C4×C17C22×C414yescomplemented
511C42×C17—22no—
512C42×C17—22no—
513C42×C17—22no—
514C42×C17—22no—
515C42×C17—41no—
516C42×C17—41no—
517C22⋊Dic17—41no—
518C22⋊Dic17—41no—
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⋊Dic17C22×C414yes—
528C22⋊Dic17C22×C414yes—
529C22⋊Dic17C22×C414yescomplemented
530#63227—41no—
531#63227—41no—
532#63227—41no—
533#63227—41no—
534#63227—41no—
535#63227—41no—
536#63227—41no—
537#63227—41no—
538#63227—41no—
539#63227—41no—
540#63227—41no—
541#63227—41no—
542#63227—41no—
543#63227—41no—
544#63227—41no—
545#63227—41no—
546#63227—41no—
547#63227—41no—
548#63227C22×C414yes—
549#63227C22×C414yes—
550#63227C22×C414yes—
551#63227C22×C414yes—
552#63227C22×C414yes—
553#63227C22×C414yes—
554#63227C22×C414yescomplemented
555C4⋊Dic17—41no—
556C4⋊Dic17—41no—
557C4⋊Dic17—41no—
558C4⋊Dic17—41no—
559C4⋊Dic17C22×C414yescomplemented
560C4⋊Dic17C22×C414yescomplemented
561#63225—41no—
562#63225—41no—
563#63225—41no—
564#63225—41no—
565#63225—41no—
566#63225—41no—
567#63225—41no—
568#63225—41no—
569#63225—41no—
570#63225—41no—
571#63225C22×C414yescomplemented
572#63225C22×C414yescomplemented
573#63225C22×C414yescomplemented
574C4×Dic17—22no—
575C4×Dic17—22no—
576C4×Dic17—22no—
577C4×Dic17—22no—
578C4×Dic17—22no—
579C4×Dic17—41no—
580C4×Dic17—41no—
581C4×Dic17—41no—
582C4×Dic17—41no—
583C4×Dic17—41no—
584C4×Dic17—41no—
585C4×Dic17—41no—
586C4×Dic17C22×C414yescomplemented
587C4×#560—171nomaximal, Sylow
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×C17C23×C412yes—
607C23×C17C23×C412yes—
608C23×C17C23×C412yes—
609C23×C17C2511yescharacteristic
610C22×D17—21no—
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—21no—
625C22×D17—21no—
626C22×D17—21no—
627C22×D17—21no—
628C22×D17—44no—
629C22×D17—44no—
630C22×D17—44no—
631C22×D17—44no—
632C22×D17—44no—
633C22×D17—44no—
634C22×D17—44no—
635C22×D17C23×C412yes—
636C22×D17C23×C412yes—
637C22×D17C23×C412yes—
638D4×C17—44no—
639D4×C17—44no—
640D4×C17—44no—
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—21no—
670C2×C4×C17—44no—
671C2×C4×C17—44no—
672C2×C4×C17—44no—
673C2×C4×C17—44no—
674C2×C4×C17—44no—
675C2×C4×C17C23×C412yes—
676C2×C4×C17C23×C412yes—
677C2×C4×C17C23×C412yes—
678C2×C4×C17C23×C412yes—
679C2×C4×C17H(5,𝔽2)12yes—
680C2×C4×C17H(5,𝔽2)12yes—
681C2×C4×C17H(5,𝔽2)12yes—
682C22⋊D17—44no—
683C22⋊D17—44no—
684C22⋊D17—44no—
685C22⋊D17—44no—
686C22⋊D17—44no—
687C22⋊D17—44no—
688C22⋊D17—44no—
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—21no—
717C2×Dic17—21no—
718C2×Dic17—21no—
719C2×Dic17—21no—
720C2×Dic17—21no—
721C2×Dic17—21no—
722C2×Dic17—21no—
723C2×Dic17—44no—
724C2×Dic17—44no—
725C2×Dic17—44no—
726C2×Dic17C23×C412yes—
727C2×Dic17C23×C412yes—
728C2×Dic17C23×C412yes—
729C2×Dic17C23×C412yes—
730C2×Dic17C23×C412yes—
731D68—44no—
732D68—44no—
733C4×D17—44no—
734C4×D17—44no—
735C4×D17—44no—
736C4×D17—44no—
737C4×D17—44no—
738C4×D17—44no—
739C4×D17—44no—
740C2×#560—171no—
741#2383—171no—
742#2383—171no—
743#2380—171no—
744#2377—171no—
745#2377—171no—
746#2377—171no—
747#2377—171no—
748#2377—171no—
749#2377—171no—
750#2376—171no—
751#2376—171no—
752#2376—171no—
753#2375—171no—
754#2375—171no—
755#2375—171no—
756C4×#127—171no—
757C4×#126—171no—
758C4×#126—171no—
759C4×#123—171no—
760C4×#123—171no—
761C4×#123—171no—
762C4×#121—171no—
763C4×#121—171no—
764C4×#121—171no—
765C4×#121—171no—
766C4×#121—171no—
767C4×#121D1711yescharacteristic, complemented
768C4×#120—171no—
769C4×#120—171no—
770C4×#120—171no—
771C22×C17—22no—
772C22×C17—22no—
773C22×C17—22no—
774C22×C17—22no—
775C22×C17—22no—
776C22×C17—22no—
777C22×C17—22no—
778C22×C17—22no—
779C22×C17—22no—
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×C17—41no—
790C22×C17—41no—
791C22×C17—41no—
792C22×C17C24×C411yescharacteristic
793C22×C17C2×H(5,𝔽2)11yescharacteristic
794C22×C17C2×H(5,𝔽2)11yescharacteristic
795C22×C17C2×H(5,𝔽2)11yescharacteristic
796C22×C17#58511yescharacteristic
797C22×C17#58511yescharacteristic
798C22×C17#58511yescharacteristic
799C2×D17—22no—
800C2×D17—22no—
801C2×D17—22no—
802C2×D17—22no—
803C2×D17—22no—
804C2×D17—22no—
805C2×D17—22no—
806C2×D17—22no—
807C2×D17—22no—
808C2×D17—416no—
809C2×D17—41no—
810C2×D17—41no—
811C2×D17—41no—
812C2×D17—41no—
813C2×D17—41no—
814C2×D17—41no—
815C2×D17—41no—
816C2×D17—41no—
817C2×D17—41no—
818C2×D17—41no—
819C2×D17—41no—
820C2×D17—41no—
821C4×C17—22no—
822C4×C17—22no—
823C4×C17—22no—
824C4×C17—22no—
825C4×C17—41no—
826C4×C17—41no—
827C4×C17—41no—
828C4×C17—41no—
829C4×C17—41no—
830C4×C17—41no—
831C4×C17—41no—
832C4×C17#56014yescomplemented
833Dic17—22no—
834Dic17—22no—
835Dic17—22no—
836Dic17—22no—
837Dic17—22no—
838Dic17—41no—
839Dic17—41no—
840Dic17—41no—
841Dic17—41no—
842Dic17—41no—
843Dic17—41no—
844Dic17—41no—
845Dic17—41no—
846C24×C4—171no—
847#560—1716no—
848C2×#127—171no—
849C2×#126—171no—
850C2×#126—171no—
851C2×#123—171no—
852C2×#123—171no—
853C2×#123—171no—
854C2×#121—171no—
855C2×#121—171no—
856C2×#121—171no—
857C2×#121—171no—
858C2×#121—171no—
859C2×#121C2×D1711yescharacteristic
860C2×#120—171no—
861C2×#120—171no—
862C2×#120—171no—
863C2×C4×D4—171no—
864C2×C4×D4—171no—
865C2×C4×D4—171no—
866C2×C4×D4—171no—
867C2×C4×D4—171no—
868C2×C4×D4—171no—
869C2×C4×D4—171no—
870C2×C4×D4—171no—
871C2×C4×D4—171no—
872C2×C4×D4C2×D1711yescharacteristic
873C2×C4×D4C2×D1711yescharacteristic
874C2×C4×D4C2×D1711yescharacteristic, complemented
875C22×C42—171no—
876C22×C42—171no—
877C22×C42C2×D1711yescharacteristic, complemented
878#390—171no—
879#390—171no—
880#390—171no—
881#390—171no—
882#390—171no—
883#390—171no—
884#390—171no—
885#390—171no—
886#390—171no—
887#390—171no—
888#390—171no—
889#390C2×D1711yescharacteristic
890#389—171no—
891#389—171no—
892#389—171no—
893#389—171no—
894#389—171no—
895#389C2×D1711yescharacteristic, complemented
896#388—171no—
897#388—171no—
898#388—171no—
899#388—171no—
900#388—171no—
901#388—171no—
902#388—171no—
903#388—171no—
904#388—171no—
905#388—171no—
906#388—171no—
907#388—171no—
908#388—171no—
909#388—171no—
910#388—171no—
911#388—171no—
912#388—171no—
913#388—171no—
914#388—171no—
915#388—171no—
916#388—171no—
917#388—171no—
918#388C2×D1711yescharacteristic
919#388C2×D1711yescharacteristic, complemented
920#387—171no—
921#387—171no—
922#387—171no—
923#387—171no—
924#387—171no—
925#387—171no—
926#387—171no—
927#387—171no—
928#387—171no—
929#387—171no—
930#387—171no—
931#387—171no—
932#386—171no—
933#386—171no—
934#386—171no—
935#386—171no—
936#386—171no—
937#386—171no—
938#386—171no—
939#386—171no—
940#386—171no—
941#386—171no—
942#386—171no—
943#386—171no—
944#386—171no—
945#386—171no—
946#386—171no—
947#386—171no—
948#386—171no—
949#386—171no—
950#386—171no—
951#386—171no—
952#386—171no—
953#386—171no—
954#386C2×D1711yescharacteristic
955#386C2×D1711yescharacteristic, complemented
956#385—171no—
957#385—171no—
958#385—171no—
959#385—171no—
960#385—171no—
961#385—171no—
962#385—171no—
963#385—171no—
964#385—171no—
965#385—171no—
966#385—171no—
967#385—171no—
968#384—171no—
969#383—171no—
970#383—171no—
971#381—171no—
972#381—171no—
973#381—171no—
974#380—171no—
975#380—171no—
976#380—171no—
977#380—171no—
978#380—171no—
979#380C2×D1711yescharacteristic, complemented
980#379—171no—
981#379—171no—
982#379—171no—
983C4×C4⋊C4—171no—
984C4×C4⋊C4—171no—
985C4×C4⋊C4—171no—
986C4×C4⋊C4—171no—
987C4×C4⋊C4—171no—
988C4×C4⋊C4C2×D1711yescharacteristic, complemented
989C4×C22⋊C4—171no—
990C4×C22⋊C4—171no—
991C4×C22⋊C4—171no—
992C4×C22⋊C4—171no—
993C4×C22⋊C4—171no—
994C4×C22⋊C4—171no—
995C4×C22⋊C4—171no—
996C4×C22⋊C4—171no—
997C4×C22⋊C4—171no—
998C4×C22⋊C4—171no—
999C4×C22⋊C4C2×D1711yescharacteristic
1000C4×C22⋊C4C2×D1711yescharacteristic, complemented
1001C43—171no—
1002C2×C17—42no—
1003C2×C17—42no—
1004C2×C17—42no—
1005C2×C17C4×H(5,𝔽2)11yescharacteristic
1006C2×C17C4×H(5,𝔽2)11yescharacteristic
1007C2×C17C4×H(5,𝔽2)11yescharacteristic
1008C2×C17C2×#56011yescharacteristic
1009C2×C17#352911yescharacteristic
1010C2×C17#352911yescharacteristic
1011C2×C17#352911yescharacteristic
1012D17—42no—
1013D17—42no—
1014D17—42no—
1015C25—171no—
1016C22×D4—171no—
1017C22×D4—171no—
1018C22×D4—171no—
1019C22×D4—171no—
1020C22×D4—171no—
1021C22×D4—171no—
1022C22×D4—171no—
1023C22×D4—171no—
1024C22×D4—171no—
1025C22×D4C22×D1711yescharacteristic
1026C22×D4C22×D1711yescharacteristic
1027C22×D4C22×D1711yescharacteristic
1028C23×C4—171no—
1029C23×C4—171no—
1030C23×C4—171no—
1031C23×C4—171no—
1032C23×C4—171no—
1033C23×C4—171no—
1034C23×C4—171no—
1035C23×C4—171no—
1036C23×C4—171no—
1037C23×C4—171no—
1038C23×C4—682no—
1039C23×C4—682no—
1040C23×C4—682no—
1041C23×C4C22×D1711yescharacteristic
1042C23×C4C22×D1711yescharacteristic
1043C23×C4C22×D1711yescharacteristic
1044C23×C4C22×D1711yescharacteristic
1045C23×C4C22×D1711yescharacteristic
1046#127—178no—
1047#126—178no—
1048#126—178no—
1049#123—178no—
1050#123—178no—
1051#123—178no—
1052#121—178no—
1053#121—178no—
1054#121—178no—
1055#121—178no—
1056#121—178no—
1057#121C4×D1718yescomplemented
1058#120—178no—
1059#120—178no—
1060#120—178no—
1061C4×D4—42no—
1062C4×D4—42no—
1063C4×D4—42no—
1064C4×D4—682no—
1065C4×D4—682no—
1066C4×D4—682no—
1067C4×D4—682no—
1068C4×D4—682no—
1069C4×D4—682no—
1070C4×D4—682no—
1071C4×D4—682no—
1072C4×D4—682no—
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⋊C4—171no—
1087C2×C4⋊C4—171no—
1088C2×C4⋊C4—171no—
1089C2×C4⋊C4—171no—
1090C2×C4⋊C4—171no—
1091C2×C4⋊C4—171no—
1092C2×C4⋊C4C22×D1711yescharacteristic
1093C2×C4⋊C4C22×D1711yescharacteristic
1094C2×C4⋊C4C22×D1711yescharacteristic
1095C2×C4⋊C4C22×D1711yescharacteristic
1096C2×C4⋊C4C22×D1711yescharacteristic
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—171no—
1133C2×C22⋊C4—171no—
1134C2×C22⋊C4—171no—
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×C42—42no—
1146C2×C42—171no—
1147C2×C42—171no—
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—171no—
1158C2×C42—171no—
1159C2×C42—682no—
1160C2×C42—682no—
1161C2×C42C22×D1711yescharacteristic
1162C2×C42C22×D1711yescharacteristic
1163C2×C42C22×D1711yescharacteristic
1164C2×C42C22×D1711yescharacteristic
1165C2×C42C22×D1711yescharacteristic
1166C2×C42C22×D1711yescharacteristic
1167#95—171no—
1168#95—171no—
1169#95—171no—
1170#95—171no—
1171#95—171no—
1172#95—171no—
1173#95—171no—
1174#95—171no—
1175#95—171no—
1176#95—171no—
1177#95—171no—
1178#95—171no—
1179#95—171no—
1180#95—171no—
1181#95—171no—
1182#95—171no—
1183#95—171no—
1184#95—171no—
1185#95—171no—
1186#95—171no—
1187#95—171no—
1188#95—171no—
1189#95—171no—
1190#95—171no—
1191#95—171no—
1192#95—171no—
1193#95—171no—
1194#95—171no—
1195#95—171no—
1196#95—171no—
1197#95C22×D1711yescharacteristic
1198#95C22×D1711yescharacteristic
1199#95C22×D1711yescharacteristic
1200#95C22×D1711yescharacteristic
1201#95C22×D1711yescharacteristic
1202#95C22×D1711yescharacteristic
1203C17C4×#56011yescharacteristic, complemented, Sylow
1204C24—171no—
1205C24—171no—
1206C24—171no—
1207C24—174no—
1208C24—681no—
1209C24—681no—
1210C24—681no—
1211C24—681no—
1212C24—681no—
1213C24—681no—
1214C24C23×D1711yescharacteristic
1215C24C23×D1711yescharacteristic
1216C24C23×D1711yescharacteristic
1217C2×D4—41no—
1218C2×D4—41no—
1219C2×D4—41no—
1220C2×D4—41no—
1221C2×D4—41no—
1222C2×D4—41no—
1223C2×D4—174no—
1224C2×D4—174no—
1225C2×D4—174no—
1226C2×D4—174no—
1227C2×D4—174no—
1228C2×D4—174no—
1229C2×D4—174no—
1230C2×D4—174no—
1231C2×D4—174no—
1232C2×D4—681no—
1233C2×D4—681no—
1234C2×D4—681no—
1235C2×D4—681no—
1236C2×D4—681no—
1237C2×D4—681no—
1238C2×D4—681no—
1239C2×D4—681no—
1240C2×D4—681no—
1241C2×D4—681no—
1242C2×D4—681no—
1243C2×D4—681no—
1244C2×D4—681no—
1245C2×D4—681no—
1246C2×D4—681no—
1247C2×D4—681no—
1248C2×D4—681no—
1249C2×D4—681no—
1250C2×D4C2×C4×D1714yes—
1251C2×D4C2×C4×D1714yes—
1252C2×D4C2×C4×D1714yescomplemented
1253C22×C4—22no—
1254C22×C4—22no—
1255C22×C4—22no—
1256C22×C4—22no—
1257C22×C4—22no—
1258C22×C4—22no—
1259C22×C4—22no—
1260C22×C4—22no—
1261C22×C4—22no—
1262C22×C4—41no—
1263C22×C4—41no—
1264C22×C4—41no—
1265C22×C4—41no—
1266C22×C4—41no—
1267C22×C4—171no—
1268C22×C4—171no—
1269C22×C4—171no—
1270C22×C4—171no—
1271C22×C4—171no—
1272C22×C4—174no—
1273C22×C4—174no—
1274C22×C4—171no—
1275C22×C4—171no—
1276C22×C4—171no—
1277C22×C4—171no—
1278C22×C4—171no—
1279C22×C4—171no—
1280C22×C4—171no—
1281C22×C4—171no—
1282C22×C4—342no—
1283C22×C4—342no—
1284C22×C4—342no—
1285C22×C4—342no—
1286C22×C4—342no—
1287C22×C4—342no—
1288C22×C4—342no—
1289C22×C4—342no—
1290C22×C4—342no—
1291C22×C4—681no—
1292C22×C4—681no—
1293C22×C4—681no—
1294C22×C4—681no—
1295C22×C4—681no—
1296C22×C4—681no—
1297C22×C4—681no—
1298C22×C4—681no—
1299C22×C4—681no—
1300C22×C4—681no—
1301C22×C4—681no—
1302C22×C4—6816no—
1303C22×C4—681no—
1304C22×C4—681no—
1305C22×C4—681no—
1306C22×C4—681no—
1307C22×C4—681no—
1308C22×C4—681no—
1309C22×C4—681no—
1310C22×C4—681no—
1311C22×C4C2×C4×D1714yescomplemented
1312C22×C4C23×D1711yescharacteristic
1313C22×C4C23×D1711yescharacteristic
1314C22×C4C23×D1711yescharacteristic
1315C22×C4C23×D1711yescharacteristic
1316C22×C4C23×D1711yescharacteristic
1317C22×C4C23×D1711yescharacteristic
1318C22×C4C23×D1711yescharacteristic
1319C22×C4C23×D1711yescharacteristic
1320C22×C4C23×D1711yescharacteristic
1321C22×C4C23×D1711yescharacteristic
1322C22×C4C23×D1711yescharacteristic
1323C22×C4C23×D1711yescharacteristic
1324C4⋊C4—41no—
1325C4⋊C4—41no—
1326C4⋊C4—41no—
1327C4⋊C4—41no—
1328C4⋊C4—174no—
1329C4⋊C4—174no—
1330C4⋊C4—174no—
1331C4⋊C4—174no—
1332C4⋊C4—174no—
1333C4⋊C4—681no—
1334C4⋊C4—681no—
1335C4⋊C4—681no—
1336C4⋊C4—681no—
1337C4⋊C4—681no—
1338C4⋊C4—681no—
1339C4⋊C4—681no—
1340C4⋊C4—681no—
1341C4⋊C4—681no—
1342C4⋊C4—681no—
1343C4⋊C4—681no—
1344C4⋊C4—681no—
1345C4⋊C4—681no—
1346C4⋊C4—681no—
1347C4⋊C4C2×C4×D1714yescomplemented
1348C22⋊C4—41no—
1349C22⋊C4—41no—
1350C22⋊C4—41no—
1351C22⋊C4—41no—
1352C22⋊C4—41no—
1353C22⋊C4—41no—
1354C22⋊C4—41no—
1355C22⋊C4—41no—
1356C22⋊C4—174no—
1357C22⋊C4—174no—
1358C22⋊C4—174no—
1359C22⋊C4—174no—
1360C22⋊C4—174no—
1361C22⋊C4—174no—
1362C22⋊C4—174no—
1363C22⋊C4—174no—
1364C22⋊C4—174no—
1365C22⋊C4—174no—
1366C22⋊C4—681no—
1367C22⋊C4—681no—
1368C22⋊C4—681no—
1369C22⋊C4—681no—
1370C22⋊C4—681no—
1371C22⋊C4—681no—
1372C22⋊C4—681no—
1373C22⋊C4—681no—
1374C22⋊C4—681no—
1375C22⋊C4—681no—
1376C22⋊C4—681no—
1377C22⋊C4—681no—
1378C22⋊C4—681no—
1379C22⋊C4—681no—
1380C22⋊C4—681no—
1381C22⋊C4—681no—
1382C22⋊C4—681no—
1383C22⋊C4—681no—
1384C22⋊C4—681no—
1385C22⋊C4—681no—
1386C22⋊C4—681no—
1387C22⋊C4—681no—
1388C22⋊C4—681no—
1389C22⋊C4—681no—
1390C22⋊C4—681no—
1391C22⋊C4—681no—
1392C22⋊C4—681no—
1393C22⋊C4—681no—
1394C22⋊C4C2×C4×D1714yes—
1395C22⋊C4C2×C4×D1714yescomplemented
1396C42—22no—
1397C42—22no—
1398C42—22no—
1399C42—22no—
1400C42—41no—
1401C42—41no—
1402C42—174no—
1403C42—342no—
1404C42—342no—
1405C42—342no—
1406C42—342no—
1407C42—342no—
1408C42—681no—
1409C42—681no—
1410C42—681no—
1411C42—681no—
1412C42—681no—
1413C42—681no—
1414C42—681no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—172no—
1434C23—172no—
1435C23—172no—
1436C23—341no—
1437C23—341no—
1438C23—341no—
1439C23—341no—
1440C23—341no—
1441C23—341no—
1442C23—341no—
1443C23—341no—
1444C23—341no—
1445C23—341no—
1446C23—341no—
1447C23—341no—
1448C23—341no—
1449C23—341no—
1450C23—341no—
1451C23—341no—
1452C23—341no—
1453C23—341no—
1454C23—684no—
1455C23—684no—
1456C23—684no—
1457C23—684no—
1458C23—684no—
1459C23—684no—
1460C23—684no—
1461C23C22×C4×D1712yes—
1462C23C22×C4×D1712yes—
1463C23C22×C4×D1712yes—
1464C23C24×D1711yescharacteristic
1465D4—44no—
1466D4—44no—
1467D4—44no—
1468D4—684no—
1469D4—684no—
1470D4—684no—
1471D4—684no—
1472D4—684no—
1473D4—684no—
1474D4—684no—
1475D4—684no—
1476D4—684no—
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—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—44no—
1507C2×C4—44no—
1508C2×C4—44no—
1509C2×C4—44no—
1510C2×C4—44no—
1511C2×C4—172no—
1512C2×C4—172no—
1513C2×C4—172no—
1514C2×C4—172no—
1515C2×C4—172no—
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—341no—
1540C2×C4—341no—
1541C2×C4—341no—
1542C2×C4—341no—
1543C2×C4—341no—
1544C2×C4—341no—
1545C2×C4—341no—
1546C2×C4—341no—
1547C2×C4—341no—
1548C2×C4—341no—
1549C2×C4—341no—
1550C2×C4—684no—
1551C2×C4—684no—
1552C2×C4—684no—
1553C2×C4—684no—
1554C2×C4—684no—
1555C2×C4—684no—
1556C2×C4—684no—
1557C2×C4—684no—
1558C2×C4—684no—
1559C2×C4—684no—
1560C2×C4C22×C4×D1712yes—
1561C2×C4C22×C4×D1712yes—
1562C2×C4C22×C4×D1712yes—
1563C2×C4C22×C4×D1712yes—
1564C2×C4#1058769112yes—
1565C2×C4#1058769112yes—
1566C2×C4#1058769612yes—
1567C22—22no—
1568C22—22no—
1569C22—22no—
1570C22—22no—
1571C22—22no—
1572C22—22no—
1573C22—22no—
1574C22—22no—
1575C22—22no—
1576C22—41no—
1577C22—41no—
1578C22—41no—
1579C22—41no—
1580C22—41no—
1581C22—41no—
1582C22—41no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—342no—
1589C22—342no—
1590C22—342no—
1591C22—342no—
1592C22—342no—
1593C22—342no—
1594C22—342no—
1595C22—342no—
1596C22—342no—
1597C22—6816no—
1598C22—681no—
1599C22—681no—
1600C22—681no—
1601C22—681no—
1602C22—681no—
1603C22—681no—
1604C22—681no—
1605C22—681no—
1606C22—681no—
1607C22—681no—
1608C22—681no—
1609C22—681no—
1610C22C23×C4×D1711yescharacteristic
1611C22C2×#1058769111yescharacteristic
1612C22C2×#1058769111yescharacteristic
1613C22C2×#1058769611yescharacteristic
1614C22#1176364511yescharacteristic
1615C22#1176364511yescharacteristic
1616C22#1176364511yescharacteristic
1617C4—22no—
1618C4—22no—
1619C4—22no—
1620C4—22no—
1621C4—41no—
1622C4—41no—
1623C4—41no—
1624C4—41no—
1625C4—41no—
1626C4—41no—
1627C4—41no—
1628C4—342no—
1629C4—342no—
1630C4—342no—
1631C4—342no—
1632C4—342no—
1633C4—681no—
1634C4—681no—
1635C4—681no—
1636C4—681no—
1637C4—681no—
1638C4—681no—
1639C4—681no—
1640C4—681no—
1641C4#1176354714yesdirect product factor
1642C2—42no—
1643C2—42no—
1644C2—42no—
1645C2—682no—
1646C2—682no—
1647C2—682no—
1648C2C4×#1058769111yescharacteristic
1649C2C4×#1058769111yescharacteristic
1650C2C4×#1058769611yescharacteristic
1651C2C2×#1176354711yescharacteristic
1652C2#1454292011yescharacteristic
1653C2#1454292211yescharacteristic
1654C2#1454292311yescharacteristic
subgroupG/H
centerC22×C4C23×D17
commutatorC22×C17C24×C4
FrattiniC23C24×D17
FittingC4×C17×#121C2
socle, cosocleC23×C17C25
prime radicalC2×#11763547C2
hypercenterC4×#121D17
hypocenterC17C4×#560
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C22×C4 ◁ C4×#121

Complements

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

NH ≅ G/Ntype
2. #14531975C2semidirect
3. #14531971C2semidirect
4. #14531959C2semidirect
5. #14531942C2semidirect
6. #14531941C2semidirect
7. #14531938C2semidirect
8. #14531937C2semidirect
9. #14531936C2semidirect
10. #14531935C2semidirect
11. #14531930C2semidirect
12. #14531929C2semidirect
13. #14531928C2semidirect
14. #14531924C2semidirect
15. #14531922C2semidirect
16. #14531921C2semidirect
17. C4×#10587626C2semidirect
18. C4×#10587584C2semidirect
19. C4×#10587565C2semidirect
20. C4×#10587580C2semidirect
21. C4×#10587572C2semidirect
22. C4×#10587615C2semidirect
23. C4×#10587616C2semidirect
24. C4×#10587570C2semidirect
25. C4×#10587625C2semidirect
26. C4×#10587625C2semidirect
27. C4×#10587624C2semidirect
28. C4×#10587568C2semidirect
29. C4×#10587623C2semidirect
30. C4×#10587623C2semidirect
31. C4×C17×#121C2semidirect
33. #11763547C4direct (N × H)
55. C2×C4×C22⋊D17C22semidirect
56. C2×C4×C22⋊D17C22semidirect
57. C22×C4×Dic17C22semidirect
58. C2×C42×D17C22semidirect
60. #11762712C22semidirect
68. #11762709C22semidirect
69. #11762709C22semidirect
70. #11762707C22semidirect
71. #11762706C22semidirect
72. #11762705C22semidirect
73. #11762704C22semidirect
74. #11762704C22semidirect
77. #11762703C22semidirect
79. #11762702C22semidirect
86. #11762700C22semidirect
90. #11762699C22semidirect
96. #11762697C22semidirect
97. #11762696C22semidirect
98. #11762696C22semidirect
99. #11762695C22semidirect
100. #11762695C22semidirect
101. #11762694C22semidirect
102. #11762694C22semidirect
103. #11762694C22semidirect
104. #11762693C22semidirect
105. #11762693C22semidirect
106. #11762692C22semidirect
107. #11762691C22semidirect
108. #11762690C22semidirect
112. #11762689C22semidirect
115. #11762688C22semidirect
123. #11762686C22semidirect
129. #11762685C22semidirect
130. #11762685C22semidirect
132. #11762684C22semidirect
135. #11762682C22semidirect
142. #11762680C22semidirect
143. #11762678C22semidirect
144. #11762676C22semidirect
145. #11762676C22semidirect
146. #11762672C22semidirect
147. #11762671C22semidirect
148. #11762670C22semidirect
149. #11762669C22semidirect
150. #11762668C22semidirect
151. #11762667C22semidirect
152. #11762667C22semidirect
153. #11762666C22semidirect
157. C4×#63225C22semidirect
158. C4×#63225C22semidirect
159. C4×#63225C22semidirect
160. C4×C4⋊Dic17C22semidirect
161. C4×C4⋊Dic17C22semidirect
168. C4×#63227C22semidirect
171. C4×C22⋊Dic17C22semidirect
172. C42×Dic17C22semidirect
176. C2×C4×D4×C17C22semidirect
177. C22×C42×C17C22semidirect
179. C17×#389C22semidirect
181. C17×#388C22semidirect
183. C17×#386C22semidirect
184. C17×#380C22semidirect
185. C4×C4⋊C4×C17C22semidirect
187. C4×C22⋊C4×C17C22semidirect
219. C17×#121C2×C4semidirect
258. #10587626C2×C4semidirect
259. #10587625C2×C4semidirect
260. #10587625C2×C4semidirect
261. #10587624C2×C4semidirect
262. #10587623C2×C4semidirect
263. #10587623C2×C4semidirect
264. #10587616C2×C4semidirect
265. #10587615C2×C4semidirect
331. #10587584C2×C4semidirect
332. #10587580C2×C4semidirect
333. #10587572C2×C4semidirect
334. #10587570C2×C4semidirect
335. #10587568C2×C4semidirect
336. #10587565C2×C4semidirect
397. C2×D4×C17C22×C4semidirect
412. C22×C4×C17C22×C4semidirect
444. C2×C22⋊D17C22×C4semidirect
445. C2×C22⋊D17C22×C4semidirect
454. C22×Dic17C22×C4semidirect
495. C2×C4×D17C22×C4semidirect
500. C4⋊C4×C17C22×C4semidirect
510. C22⋊C4×C17C22×C4semidirect
529. C22⋊Dic17C22×C4semidirect
554. #63227C22×C4semidirect
559. C4⋊Dic17C22×C4semidirect
560. C4⋊Dic17C22×C4semidirect
571. #63225C22×C4semidirect
572. #63225C22×C4semidirect
573. #63225C22×C4semidirect
586. C4×Dic17C22×C4semidirect
767. C4×#121D17semidirect
832. C4×C17#560semidirect
874. C2×C4×D4C2×D17semidirect
877. C22×C42C2×D17semidirect
895. #389C2×D17semidirect
919. #388C2×D17semidirect
955. #386C2×D17semidirect
979. #380C2×D17semidirect
988. C4×C4⋊C4C2×D17semidirect
1000. C4×C22⋊C4C2×D17semidirect
1057. #121C4×D17semidirect
1203. C17C4×#560semidirect
1252. C2×D4C2×C4×D17semidirect
1311. C22×C4C2×C4×D17semidirect
1347. C4⋊C4C2×C4×D17semidirect
1395. C22⋊C4C2×C4×D17semidirect
1641. C4#11763547direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#117635472
#145319752
#145319712
#145319592
#145319422
#145319412
#145319382
#145319372
#145319362
#145319352
#145319302
#145319292
#145319282
#145319242
#145319222
#145319212
C4×#105876262
C4×#105875842
C4×#105875652
C4×#105875802
C4×#105875722
C4×#105876152
C4×#105876162
C4×#105875702
C4×#105876252
C4×#105876242
C4×#105875682
C4×#105876232
C4×C17×#1212
C4×#56017