Finite Group Databasebeta

← C4×#11763488 #17194206

Subgroups — C4×#11763488 #17194206

Order 4352.

2732 conjugacy classes of subgroups.

The subgroup lattice has 1560 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11763488C211yesmaximal, characteristic
2#14531915C211yesmaximal, characteristic, complemented
3#14531900C211yesmaximal, characteristic, complemented
4#14531898C211yesmaximal, characteristic, complemented
5#14531892C211yesmaximal, characteristic, complemented
6#14531868C211yesmaximal, characteristic, complemented
7#14531867C211yesmaximal, characteristic, complemented
8#14531777C211yesmaximal, characteristic, complemented
9#14531770C211yesmaximal, characteristic, complemented
10#14531761C211yesmaximal, characteristic
11#14531727C211yesmaximal, characteristic, complemented
12#14531724C211yesmaximal, characteristic, complemented
13#14531647C211yesmaximal, characteristic, complemented
14#14531638C211yesmaximal, characteristic, complemented
15#14531636C211yesmaximal, characteristic, complemented
16#14531627C211yesmaximal, characteristic, complemented
17C4×#10587584C211yesmaximal, characteristic, complemented
18C4×#10587562C211yesmaximal, characteristic, complemented
19C4×#10587571C211yesmaximal, characteristic, complemented
20C4×#10587610C211yesmaximal, characteristic, complemented
21C4×#10587582C211yesmaximal, characteristic, complemented
22C4×#10587615C211yesmaximal, characteristic, complemented
23C4×#10587569C211yesmaximal, characteristic, complemented
24C4×#10587621C211yesmaximal, characteristic, complemented
25C4×#10587623C211yesmaximal, characteristic
26C42×C22⋊D17C211yesmaximal, characteristic, complemented
27C4×#10587558C211yesmaximal, characteristic, complemented
28C4×#10587563C211yesmaximal, characteristic, complemented
29C2×C4×#63227C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D17C211yesmaximal, characteristic, complemented
31C42×D4×C17C211yesmaximal, characteristic, complemented
32C23×C4×D17C2211yescharacteristic
33#11763488C4116yesdirect product factor
34C2×#10587584C2211yescharacteristic
35C2×#10587562C2211yescharacteristic
36C2×#10587571C2211yescharacteristic
37C2×#10587615C2211yescharacteristic
38C2×#10587569C2211yescharacteristic
39C2×#10587621C2211yescharacteristic
40C2×#10587610C2211yescharacteristic
41C2×#10587582C2211yescharacteristic
42C2×#10587623C2211yescharacteristic
43C2×C4×Dic34C2211yescharacteristic, complemented
44C2×C4×C22⋊D17C2211yescharacteristic
45C2×C4×C22⋊D17C2211yescharacteristic
46C2×C4×C22⋊D17C2211yescharacteristic
47C2×C4×C22⋊D17C2211yescharacteristic
48C2×#10587558C2211yescharacteristic
49C2×#10587558C2211yescharacteristic
50C2×#10587563C2211yescharacteristic
51C2×#10587563C2211yescharacteristic
52C22×#63227C2211yescharacteristic
53C22×#63227C2211yescharacteristic
54C2×C22⋊C4×D17C2211yescharacteristic
55C2×C22⋊C4×D17C2211yescharacteristic
56C22×C4×Dic17C2211yescharacteristic
57C2×C42×D17C2211yescharacteristic
58C2×C42×D17C2211yescharacteristic
59#11762715C2211yescharacteristic, complemented
60#11762713C2211yescharacteristic, complemented
61#11762713C2211yescharacteristic, complemented
62#11762709C2211yescharacteristic
63#11762707C2211yescharacteristic, complemented
64#11762704C2211yescharacteristic, complemented
65#11762703C2211yescharacteristic, complemented
66#11762702C2211yescharacteristic, complemented
67#11762702C2211yescharacteristic, complemented
68#11762701C2211yescharacteristic
69#11762701C2211yescharacteristic
70#11762700C2211yescharacteristic
71#11762700C2211yescharacteristic
72#11762700C2211yescharacteristic
73#11762700C2211yescharacteristic
74#11762700C2211yescharacteristic
75#11762699C2211yescharacteristic
76#11762698C2211yescharacteristic
77#11762698C2211yescharacteristic
78#11762697C2211yescharacteristic, complemented
79#11762697C2211yescharacteristic, complemented
80#11762697C2211yescharacteristic, complemented
81#11762695C2211yescharacteristic, complemented
82#11762695C2211yescharacteristic, complemented
83#11762693C2211yescharacteristic, complemented
84#11762693C2211yescharacteristic, complemented
85#11762693C2211yescharacteristic, complemented
86#11762693C2211yescharacteristic, complemented
87#11762693C2211yescharacteristic, complemented
88#11762693C2211yescharacteristic, complemented
89#11762693C2211yescharacteristic, complemented
90#11762692C2211yescharacteristic, complemented
91#11762692C2211yescharacteristic, complemented
92#11762691C2211yescharacteristic, complemented
93#11762691C2211yescharacteristic, complemented
94#11762690C2211yescharacteristic, complemented
95#11762690C2211yescharacteristic, complemented
96#11762690C2211yescharacteristic, complemented
97#11762689C2211yescharacteristic
98#11762689C2211yescharacteristic
99#11762688C2211yescharacteristic
100#11762685C2211yescharacteristic
101#11762685C2211yescharacteristic
102#11762685C2211yescharacteristic
103#11762683C2211yescharacteristic
104#11762683C2211yescharacteristic
105#11762682C2211yescharacteristic
106#11762682C2211yescharacteristic
107#11762682C2211yescharacteristic, complemented
108#11762681C2211yescharacteristic
109#11762681C2211yescharacteristic
110#11762680C2211yescharacteristic
111#11762680C2211yescharacteristic
112#11762680C2211yescharacteristic
113#11762677C2211yescharacteristic, complemented
114#11762676C2211yescharacteristic, complemented
115#11762673C2211yescharacteristic, complemented
116#11762672C2211yescharacteristic, complemented
117#11762671C2211yescharacteristic
118#11762670C2211yescharacteristic
119#11762669C2211yescharacteristic
120#11762668C2211yescharacteristic
121#11762664C2211yescharacteristic
122C4×#63225C2211yescharacteristic, complemented
123C4×#63225C2211yescharacteristic, complemented
124C4×#63225C2211yescharacteristic, complemented
125C4×#63225C2211yescharacteristic, complemented
126C4×#63225C2211yescharacteristic, complemented
127C4×#63225C2211yescharacteristic, complemented
128C4×#63225C2211yescharacteristic, complemented
129C4×#63225C2211yescharacteristic, complemented
130C4×#63225C2211yescharacteristic, complemented
131C4×#63225C2211yescharacteristic, complemented
132C4×C4⋊Dic17C2211yescharacteristic, complemented
133#11762660C2211yescharacteristic, complemented
134#11762660C2211yescharacteristic, complemented
135C22⋊C4×Dic17C2211yescharacteristic
136C22⋊C4×Dic17C2211yescharacteristic
137C22⋊C4×Dic17C2211yescharacteristic
138C22⋊C4×Dic17C2211yescharacteristic
139C4×#63227C2211yescharacteristic
140C4×#63227C2211yescharacteristic
141C4×#63227C2211yescharacteristic
142C4×#63227C2211yescharacteristic
143C4×#63227C2211yescharacteristic
144C4×#63227C2211yescharacteristic
145C4×#63227C2211yescharacteristic
146C4×#63227C2211yescharacteristic
147C4×#63227C2211yescharacteristic
148C4×#63227C2211yescharacteristic
149C4×#63227C2211yescharacteristic
150C4×#63227C2211yescharacteristic
151C4×#63227C2211yescharacteristic
152C4×#63227C2211yescharacteristic
153C4×#63227C2211yescharacteristic
154C4×#63227C2211yescharacteristic
155C4×C22⋊Dic17C2211yescharacteristic
156C4×C22⋊Dic17C2211yescharacteristic
157C4×C22⋊Dic17C2211yescharacteristic, complemented
158C4×C22⋊Dic17C2211yescharacteristic, complemented
159C4×C22⋊Dic17C2211yescharacteristic, complemented
160C4×C22⋊Dic17C2211yescharacteristic, complemented
161#11762656C2211yescharacteristic
162#11762656C2211yescharacteristic
163#11762655C2211yescharacteristic, complemented
164#11762655C2211yescharacteristic, complemented
165#11762654C2211yescharacteristic, complemented
166#11762654C2211yescharacteristic, complemented
167C2×#10587502C2211yescharacteristic
168C2×#10587502C2211yescharacteristic
169#95×D17C2211yescharacteristic
170#95×D17C2211yescharacteristic
171C42×Dic17C2211yescharacteristic, complemented
172C42×Dic17C2211yescharacteristic, complemented
173C2×C4×D4×C17C2211yescharacteristic
174C2×C4×D4×C17C2211yescharacteristic
175C2×C4×D4×C17C2211yescharacteristic
176C22×C42×C17C2211yescharacteristic
177C22×C42×C17C2211yescharacteristic, complemented
178C4×C4⋊C4×C17C2211yescharacteristic, complemented
179C4×C4⋊C4×C17C2211yescharacteristic, complemented
180C4×C4⋊C4×C17C2211yescharacteristic, complemented
181C4×C22⋊C4×C17C2211yescharacteristic
182C4×C22⋊C4×C17C2211yescharacteristic
183C4×C22⋊C4×C17C2211yescharacteristic
184C4×C22⋊C4×C17C2211yescharacteristic, complemented
185C4×C22⋊C4×C17C2211yescharacteristic, complemented
186C4×C22⋊C4×C17C2211yescharacteristic, complemented
187C43×C17C2211yescharacteristic, complemented
188C24×D17C2311yescharacteristic
189C22×D4×C17C2311yescharacteristic
190C23×C4×C17C2311yescharacteristic
191C23×C4×C17C2311yescharacteristic
192C23×C4×C17C2311yescharacteristic
193C23×C4×C17C2311yescharacteristic
194C23×C4×C17C2311yescharacteristic
195C23×C4×C17C2311yescharacteristic
196C22×C22⋊D17C2311yescharacteristic
197C22×C22⋊D17C2311yescharacteristic
198C23×Dic17C2311yescharacteristic
199C23×Dic17C2311yescharacteristic
200C23×Dic17C2311yescharacteristic
201C22×C4×D17—24no—
202C22×C4×D17—24no—
203C22×C4×D17—42no—
204C22×C4×D17C2311yescharacteristic
205C22×C4×D17C2311yescharacteristic
206C22×C4×D17C2311yescharacteristic
207C22×C4×D17C2311yescharacteristic
208C22×C4×D17C2311yescharacteristic
209C22×C4×D17C2311yescharacteristic
210C22×C4×D17C2311yescharacteristic
211C22×C4×D17C2311yescharacteristic
212C22×Dic34C2311yescharacteristic
213C4×D4×C17—24no—
214C4×D4×C17—24no—
215C4×D4×C17C2×C418yescomplemented
216C2×C4⋊C4×C17C2311yescharacteristic
217C2×C4⋊C4×C17C2311yescharacteristic
218C2×C4⋊C4×C17C2311yescharacteristic
219C2×C22⋊C4×C17C2311yescharacteristic
220C2×C22⋊C4×C17C2311yescharacteristic
221C2×C22⋊C4×C17C2311yescharacteristic
222C2×C22⋊C4×C17C2311yescharacteristic
223C2×C22⋊C4×C17C2311yescharacteristic
224C2×C22⋊C4×C17C2311yescharacteristic
225C2×C42×C17—42no—
226C2×C42×C17—42no—
227C2×C42×C17C2311yescharacteristic
228C2×C42×C17C2311yescharacteristic
229C2×C42×C17C2311yescharacteristic
230C2×C42×C17C2311yescharacteristic
231C2×C42×C17C2311yescharacteristic
232C2×C42×C17C2311yescharacteristic
233C2×C42×C17C2311yescharacteristic
234C2×C42×C17C2311yescharacteristic
235C2×C42×C17C2311yescharacteristic
236C2×C42×C17C2311yescharacteristic
237C2×C42×C17C2311yescharacteristic
238C2×C42×C17C2311yescharacteristic
239C2×C42×C17C2311yescharacteristic
240C2×C22⋊Dic17C2311yescharacteristic
241C2×C22⋊Dic17C2311yescharacteristic
242C2×C22⋊Dic17C2311yescharacteristic
243C2×C22⋊Dic17C2311yescharacteristic
244C2×C22⋊Dic17C2311yescharacteristic
245C2×C22⋊Dic17C2311yescharacteristic
246C2×C22⋊Dic17C2311yescharacteristic
247C2×C22⋊Dic17C2311yescharacteristic
248C2×C22⋊Dic17C2311yescharacteristic
249C2×C22⋊Dic17C2311yescharacteristic
250#10587623C2×C418yes—
251#10587621C2×C418yescomplemented
252#10587615C2×C418yescomplemented
253C4×C22⋊D17—24no—
254C4×C22⋊D17—24no—
255C4×C22⋊D17—42no—
256C4×C22⋊D17C2×C418yescomplemented
257C2×#63227—24no—
258C2×#63227C2×C418yescomplemented
259C2×#63227C2311yescharacteristic
260C2×#63227C2311yescharacteristic
261C2×#63227C2311yescharacteristic
262C2×#63227C2311yescharacteristic
263C2×#63227C2311yescharacteristic
264C2×#63227C2311yescharacteristic
265C2×#63227C2311yescharacteristic
266C2×#63227C2311yescharacteristic
267C2×#63227C2311yescharacteristic
268C2×#63227C2311yescharacteristic
269C2×#63227C2311yescharacteristic
270C2×#63227C2311yescharacteristic
271C2×#63227C2311yescharacteristic
272C2×#63227C2311yescharacteristic
273C2×#63227C2311yescharacteristic
274C2×#63227C2311yescharacteristic
275C2×#63227C2311yescharacteristic
276C2×#63227C2311yescharacteristic
277C2×C4⋊Dic17C2311yescharacteristic
278C2×C4⋊Dic17C2311yescharacteristic
279C2×C4⋊Dic17C2311yescharacteristic
280#10587610C2×C418yescomplemented
281C2×#63225C2311yescharacteristic
282C2×#63225C2311yescharacteristic
283C2×#63225C2311yescharacteristic
284C2×#63225C2311yescharacteristic
285C2×#63225C2311yescharacteristic
286C2×#63225C2311yescharacteristic
287C2×#63225C2311yescharacteristic
288C2×#63225C2311yescharacteristic
289C2×#63225C2311yescharacteristic
290C2×#63225C2311yescharacteristic
291C2×#63225C2311yescharacteristic
292C2×#63225C2311yescharacteristic
293C2×#63225C2311yescharacteristic
294C2×#63225C2311yescharacteristic
295C2×#63225C2311yescharacteristic
296C2×#63225C2311yescharacteristic
297C2×C4×Dic17—24no—
298C2×C4×Dic17C2311yescharacteristic
299C2×C4×Dic17C2311yescharacteristic
300C2×C4×Dic17C2311yescharacteristic
301C2×C4×Dic17C2311yescharacteristic
302C2×C4×Dic17C2311yescharacteristic
303C2×C4×Dic17C2311yescharacteristic
304C2×C4×Dic17C2311yescharacteristic
305C2×C4×Dic17C2311yescharacteristic
306C2×C4×Dic17C2311yescharacteristic
307C2×C4×Dic17C2311yescharacteristic
308C2×C4×Dic17C2311yescharacteristic
309C2×C4×Dic17C2311yescharacteristic
310C2×C4×Dic17C2311yescharacteristic
311C2×C4×Dic17C2311yescharacteristic
312C2×C4×Dic17C2311yescharacteristic
313C2×C4×Dic17C2311yescharacteristic
314C2×C4×Dic17C2311yescharacteristic
315C2×C4×Dic17C2311yescharacteristic
316C2×C4×Dic17C2311yescharacteristic
317C2×C4×Dic17C2311yescharacteristic
318#10587584C2×C418yescomplemented
319#10587582C2×C418yescomplemented
320#10587571C2×C418yescomplemented
321#10587569C2×C418yescomplemented
322C22⋊C4×D17—24no—
323C22⋊C4×D17C2×C418yescomplemented
324#10587563—24no—
325#10587563C2×C418yescomplemented
326#10587562C2×C418yescomplemented
327#10587558—24no—
328#10587558C2×C418yescomplemented
329C42×D17—24no—
330C42×D17—42no—
331C4×Dic34—42no—
332C17×#95C2311yescharacteristic
333C17×#95C2311yescharacteristic
334C17×#95C2311yescharacteristic
335C17×#95C2311yescharacteristic
336C17×#95C2311yescharacteristic
337C17×#95C2311yescharacteristic
338#10587502C2311yescharacteristic
339#10587502C2311yescharacteristic
340#10587502C2311yescharacteristic
341#10587502C2311yescharacteristic
342#10587502C2311yescharacteristic
343#10587502C2311yescharacteristic
344#10587502C2311yescharacteristic
345#10587502C2311yescharacteristic
346#10587502C2311yescharacteristic
347#10587502C2311yescharacteristic
348#10587502C2311yescharacteristic
349#10587502C2311yescharacteristic
350#10587502C2311yescharacteristic
351#10587502C2311yescharacteristic
352#10587502C2311yescharacteristic
353#10587502C2311yescharacteristic
354#10587502C2311yescharacteristic
355#10587502C2311yescharacteristic
356#10587502C2311yescharacteristic
357#10587502C2311yescharacteristic
358#10587502C2311yescharacteristic
359#10587502C2311yescharacteristic
360#10587502C2311yescharacteristic
361#10587502C2311yescharacteristic
362#10587502C2311yescharacteristic
363#10587502C2311yescharacteristic
364#10587502C2311yescharacteristic
365#10587502C2311yescharacteristic
366#10587502C2311yescharacteristic
367#10587502C2311yescharacteristic
368#10587502C2311yescharacteristic
369#10587502C2311yescharacteristic
370#10587502C2311yescharacteristic
371#10587502C2311yescharacteristic
372#10587502C2311yescharacteristic
373#10587502C2311yescharacteristic
374#10587502C2311yescharacteristic
375#10587502C2311yescharacteristic
376C24×C17C2411yescharacteristic
377C24×C17C2411yescharacteristic
378C23×D17—22no—
379C23×D17—22no—
380C23×D17—22no—
381C23×D17—22no—
382C23×D17—41no—
383C23×D17—41no—
384C23×D17C22×C414yes—
385C23×D17C2411yescharacteristic
386C23×D17C2411yescharacteristic
387C2×D4×C17—22no—
388C2×D4×C17—22no—
389C2×D4×C17C22×C414yes—
390C22×C4×C17—22no—
391C22×C4×C17—22no—
392C22×C4×C17—22no—
393C22×C4×C17—22no—
394C22×C4×C17—22no—
395C22×C4×C17—22no—
396C22×C4×C17—22no—
397C22×C4×C17—22no—
398C22×C4×C17—22no—
399C22×C4×C17—41no—
400C22×C4×C17—41no—
401C22×C4×C17—41no—
402C22×C4×C17—41no—
403C22×C4×C17—41no—
404C22×C4×C17—41no—
405C22×C4×C17C22×C414yes—
406C22×C4×C17C22×C414yescomplemented
407C22×C4×C17#4114yes—
408C22×C4×C17C2411yescharacteristic
409C22×C4×C17C2411yescharacteristic
410C22×C4×C17C2411yescharacteristic
411C22×C4×C17C2411yescharacteristic
412C22×C4×C17C2411yescharacteristic
413C22×C4×C17C2411yescharacteristic
414C22×C4×C17C2411yescharacteristic
415C22×C4×C17C2411yescharacteristic
416C22×C4×C17C2411yescharacteristic
417C22×C4×C17C2411yescharacteristic
418C22×C4×C17C2411yescharacteristic
419C22×C4×C17C2411yescharacteristic
420C22×C4×C17C2411yescharacteristic
421C2×C22⋊D17—22no—
422C2×C22⋊D17—22no—
423C2×C22⋊D17—41no—
424C2×C22⋊D17—41no—
425C2×C22⋊D17C22×C414yes—
426C2×C22⋊D17C22×C414yes—
427C22×Dic17—22no—
428C22×Dic17—22no—
429C22×Dic17—22no—
430C22×Dic17—22no—
431C22×Dic17—22no—
432C22×Dic17—22no—
433C22×Dic17—41no—
434C22×Dic17—41no—
435C22×Dic17C22×C414yes—
436C22×Dic17C2411yescharacteristic
437C22×Dic17C2411yescharacteristic
438C22×Dic17C2411yescharacteristic
439C22×Dic17C2411yescharacteristic
440C22×Dic17C2411yescharacteristic
441C22×Dic17C2411yescharacteristic
442C22×Dic17C2411yescharacteristic
443C22×Dic17C2411yescharacteristic
444C22×Dic17C2411yescharacteristic
445C22×Dic17C2411yescharacteristic
446C22×Dic17C2411yescharacteristic
447C22×Dic17C2411yescharacteristic
448C22×Dic17C2411yescharacteristic
449C22×Dic17C2411yescharacteristic
450C2×C4×D17—22no—
451C2×C4×D17—22no—
452C2×C4×D17—22no—
453C2×C4×D17—22no—
454C2×C4×D17—22no—
455C2×C4×D17—22no—
456C2×C4×D17—22no—
457C2×C4×D17—22no—
458C2×C4×D17—22no—
459C2×C4×D17—22no—
460C2×C4×D17—22no—
461C2×C4×D17—22no—
462C2×C4×D17—22no—
463C2×C4×D17—22no—
464C2×C4×D17—22no—
465C2×C4×D17—416no—
466C2×C4×D17—41no—
467C2×C4×D17—41no—
468C2×C4×D17—41no—
469C2×C4×D17—41no—
470C2×C4×D17—41no—
471C2×C4×D17—41no—
472C2×C4×D17C22×C414yes—
473C2×C4×D17C22×C414yes—
474C2×C4×D17#4114yes—
475C2×Dic34—41no—
476C2×Dic34—41no—
477C2×Dic34C22×C414yescomplemented
478C4⋊C4×C17—22no—
479C4⋊C4×C17—22no—
480C4⋊C4×C17C22×C414yescomplemented
481C22⋊C4×C17—22no—
482C22⋊C4×C17—22no—
483C22⋊C4×C17—22no—
484C22⋊C4×C17C22×C414yes—
485C22⋊C4×C17C22×C414yescomplemented
486C22⋊C4×C17#4114yes—
487C42×C17—22no—
488C42×C17—22no—
489C42×C17—22no—
490C42×C17—22no—
491C42×C17—22no—
492C42×C17—22no—
493C42×C17—22no—
494C42×C17—41no—
495C42×C17—41no—
496C42×C17—41no—
497C42×C17—41no—
498C42×C17—41no—
499C42×C17C22×C414yescomplemented
500C22⋊Dic17—22no—
501C22⋊Dic17—22no—
502C22⋊Dic17—22no—
503C22⋊Dic17—22no—
504C22⋊Dic17—41no—
505C22⋊Dic17—41no—
506C22⋊Dic17C22×C414yes—
507C22⋊Dic17C22×C414yes—
508C22⋊Dic17C22×C414yescomplemented
509C22⋊Dic17C22×C414yescomplemented
510#63227—22no—
511#63227—22no—
512#63227—22no—
513#63227—22no—
514#63227—22no—
515#63227—22no—
516#63227—22no—
517#63227—41no—
518#63227—41no—
519#63227C22×C414yes—
520#63227C22×C414yes—
521#63227C22×C414yes—
522#63227C22×C414yes—
523#63227C22×C414yes—
524#63227C22×C414yes—
525#63227C22×C414yes—
526#63227C22×C414yes—
527#63227#4114yes—
528C4⋊Dic17—41no—
529C4⋊Dic17—41no—
530C4⋊Dic17C22×C414yescomplemented
531#63225—22no—
532#63225—22no—
533#63225—22no—
534#63225—22no—
535#63225—22no—
536#63225—22no—
537#63225—41no—
538#63225—41no—
539#63225—41no—
540#63225—41no—
541#63225C22×C414yescomplemented
542#63225C22×C414yescomplemented
543#63225C22×C414yescomplemented
544#63225C22×C414yescomplemented
545#63225C22×C414yescomplemented
546#63225C22×C414yescomplemented
547C4×Dic17—22no—
548C4×Dic17—22no—
549C4×Dic17—22no—
550C4×Dic17—22no—
551C4×Dic17—22no—
552C4×Dic17—22no—
553C4×Dic17—22no—
554C4×Dic17—22no—
555C4×Dic17—22no—
556C4×Dic17—22no—
557C4×Dic17—22no—
558C4×Dic17—22no—
559C4×Dic17—22no—
560C4×Dic17—22no—
561C4×Dic17—41no—
562C4×Dic17—41no—
563C4×Dic17—41no—
564C4×Dic17—41no—
565C4×Dic17C22×C414yescomplemented
566C4×Dic17C22×C414yescomplemented
567C4×#551—171nomaximal, Sylow
568C23×C17—21no—
569C23×C17—21no—
570C23×C17—21no—
571C23×C17—21no—
572C23×C17—21no—
573C23×C17—21no—
574C23×C17—21no—
575C23×C17—21no—
576C23×C17—21no—
577C23×C17—21no—
578C23×C17C23×C412yes—
579C23×C17C23×C412yes—
580C23×C17C2×#4112yes—
581C23×C17C2×#4112yes—
582C23×C17C2511yescharacteristic
583C22×D17—21no—
584C22×D17—21no—
585C22×D17—21no—
586C22×D17—21no—
587C22×D17—28no—
588C22×D17—21no—
589C22×D17—21no—
590C22×D17—21no—
591C22×D17—21no—
592C22×D17—21no—
593C22×D17—21no—
594C22×D17—28no—
595C22×D17—44no—
596C22×D17—44no—
597C22×D17—44no—
598C22×D17—44no—
599C22×D17—44no—
600C22×D17C23×C412yes—
601C22×D17C23×C412yes—
602C22×D17C2×#4112yes—
603C22×D17C2×#4112yes—
604D4×C17—28no—
605C2×C4×C17—21no—
606C2×C4×C17—21no—
607C2×C4×C17—21no—
608C2×C4×C17—21no—
609C2×C4×C17—21no—
610C2×C4×C17—21no—
611C2×C4×C17—21no—
612C2×C4×C17—21no—
613C2×C4×C17—21no—
614C2×C4×C17—21no—
615C2×C4×C17—21no—
616C2×C4×C17—21no—
617C2×C4×C17—21no—
618C2×C4×C17—21no—
619C2×C4×C17—21no—
620C2×C4×C17—21no—
621C2×C4×C17—21no—
622C2×C4×C17—21no—
623C2×C4×C17—28no—
624C2×C4×C17—21no—
625C2×C4×C17—21no—
626C2×C4×C17—21no—
627C2×C4×C17—21no—
628C2×C4×C17—21no—
629C2×C4×C17—21no—
630C2×C4×C17—21no—
631C2×C4×C17—21no—
632C2×C4×C17—21no—
633C2×C4×C17—44no—
634C2×C4×C17—44no—
635C2×C4×C17—44no—
636C2×C4×C17—44no—
637C2×C4×C17—44no—
638C2×C4×C17C23×C412yes—
639C2×C4×C17C23×C412yes—
640C2×C4×C17C23×C412yes—
641C2×C4×C17C23×C412yes—
642C2×C4×C17C23×C412yes—
643C2×C4×C17C2×#4112yes—
644C2×C4×C17C2×#4112yes—
645C2×C4×C17C2×#4112yes—
646C2×C4×C17C2×#4112yes—
647C2×C4×C17C2×#4112yes—
648C2×C4×C17C2×#4112yes—
649C2×C4×C17H(5,𝔽2)12yes—
650C22⋊D17—28no—
651C22⋊D17—44no—
652C2×Dic17—28no—
653C2×Dic17—21no—
654C2×Dic17—21no—
655C2×Dic17—21no—
656C2×Dic17—21no—
657C2×Dic17—21no—
658C2×Dic17—21no—
659C2×Dic17—21no—
660C2×Dic17—21no—
661C2×Dic17—21no—
662C2×Dic17—21no—
663C2×Dic17—21no—
664C2×Dic17—21no—
665C2×Dic17—21no—
666C2×Dic17—21no—
667C2×Dic17—21no—
668C2×Dic17—21no—
669C2×Dic17—21no—
670C2×Dic17—21no—
671C2×Dic17—21no—
672C2×Dic17—21no—
673C2×Dic17—21no—
674C2×Dic17—21no—
675C2×Dic17—21no—
676C2×Dic17—21no—
677C2×Dic17—21no—
678C2×Dic17—21no—
679C2×Dic17—21no—
680C2×Dic17—21no—
681C2×Dic17—21no—
682C2×Dic17—21no—
683C2×Dic17—21no—
684C2×Dic17—21no—
685C2×Dic17—21no—
686C2×Dic17—21no—
687C2×Dic17—44no—
688C2×Dic17—44no—
689C2×Dic17C23×C412yes—
690C2×Dic17C23×C412yes—
691C2×Dic17C23×C412yes—
692C2×Dic17C23×C412yes—
693C2×Dic17C23×C412yes—
694C2×Dic17C23×C412yes—
695C2×Dic17C2×#4112yes—
696C2×Dic17C2×#4112yes—
697C4×D17—28no—
698C4×D17—28no—
699C4×D17—44no—
700C4×D17—44no—
701C4×D17—44no—
702C4×D17—44no—
703C4×D17—44no—
704C4×D17—44no—
705Dic34—44no—
706C2×#551—171no—
707#2374—171no—
708#2373—171no—
709#2373—171no—
710#2372—171no—
711#2368—171no—
712#2368—171no—
713#2359—171no—
714#2359—171no—
715#2358—171no—
716#2353—171no—
717#2353—171no—
718#2343—171no—
719#2343—171no—
720#2342—171no—
721#2342—171no—
722C4×#126—171no—
723C4×#126—171no—
724C4×#124—171no—
725C4×C22⋊Q8—171no—
726C4×C22⋊Q8—171no—
727C4×#123—171no—
728C4×#123—171no—
729C4×#123—171no—
730C4×#120—171no—
731C42×D4—171no—
732C42×D4D1711yescharacteristic, complemented
733C4×#117—171no—
734C4×#117—171no—
735C2×C4×C22⋊C4—171no—
736C2×C4×C22⋊C4—171no—
737C22×C17—22no—
738C22×C17—22no—
739C22×C17—22no—
740C22×C17—22no—
741C22×C17—22no—
742C22×C17—22no—
743C22×C17—22no—
744C22×C17—22no—
745C22×C17—22no—
746C22×C17—41no—
747C22×C17—41no—
748C22×C17—41no—
749C22×C17—41no—
750C22×C17C4×#4114yes—
751C22×C17C24×C411yescharacteristic
752C22×C17C22×#4111yescharacteristic
753C22×C17C22×#4111yescharacteristic
754C22×C17C22×#4111yescharacteristic
755C22×C17C22×#4111yescharacteristic
756C22×C17C2×H(5,𝔽2)11yescharacteristic
757C22×C17#58511yescharacteristic
758C2×D17—22no—
759C2×D17—22no—
760C2×D17—22no—
761C2×D17—22no—
762C2×D17—22no—
763C2×D17—22no—
764C2×D17—22no—
765C2×D17—22no—
766C2×D17—22no—
767C2×D17—416no—
768C2×D17—41no—
769C2×D17—41no—
770C2×D17—41no—
771C2×D17—41no—
772C2×D17C4×#4114yes—
773C4×C17—22no—
774C4×C17—22no—
775C4×C17—22no—
776C4×C17—22no—
777C4×C17—22no—
778C4×C17—22no—
779C4×C17—22no—
780C4×C17—22no—
781C4×C17—22no—
782C4×C17—41no—
783C4×C17—41no—
784C4×C17—41no—
785C4×C17#55114yescomplemented
786Dic17—22no—
787Dic17—22no—
788Dic17—22no—
789Dic17—22no—
790Dic17—22no—
791Dic17—22no—
792Dic17—22no—
793Dic17—22no—
794Dic17—41no—
795Dic17—41no—
796Dic17—41no—
797Dic17—41no—
798Dic17—41no—
799Dic17—41no—
800C24×C4—171no—
801#551—1716no—
802C2×#126—171no—
803C2×#126—171no—
804C2×#124—171no—
805C2×#123—171no—
806C2×#123—171no—
807C2×#123—171no—
808C2×C22⋊Q8—171no—
809C2×C22⋊Q8—171no—
810C2×#120—171no—
811C2×C4×Q8—171no—
812C2×C4×D4—171no—
813C2×C4×D4—171no—
814C2×C4×D4—171no—
815C2×C4×D4—171no—
816C2×C4×D4C2×D1711yescharacteristic
817C2×C4×D4C2×D1711yescharacteristic
818C2×C4×D4C2×D1711yescharacteristic
819C2×#117—171no—
820C2×#117—171no—
821C2×#117—171no—
822C2×#117—171no—
823C22×C22⋊C4—171no—
824C22×C22⋊C4—171no—
825C22×C22⋊C4—171no—
826C22×C22⋊C4—171no—
827C22×C42—171no—
828C22×C42—171no—
829C22×C42—171no—
830C22×C42C2×D1711yescharacteristic
831C22×C42C2×D1711yescharacteristic, complemented
832#391—171no—
833#391—171no—
834#391—171no—
835#390—171no—
836#389—171no—
837#389—171no—
838#388—171no—
839#388—171no—
840#388—171no—
841#388—171no—
842#388—171no—
843#388—171no—
844#388—171no—
845#388—171no—
846#388—171no—
847#388—171no—
848#388—171no—
849#388—171no—
850#388—171no—
851#388—171no—
852#388—171no—
853#388—171no—
854#387—171no—
855#387—171no—
856#387—171no—
857#387—171no—
858#387—171no—
859#387—171no—
860#387—171no—
861#387—171no—
862#387—171no—
863#387—171no—
864#387—171no—
865#387—171no—
866#387—171no—
867#387—171no—
868#387—171no—
869#387—171no—
870#386—171no—
871#386—171no—
872#386—171no—
873#386—171no—
874#386—171no—
875#386—171no—
876#385—171no—
877#385—171no—
878#385—171no—
879#385—171no—
880#385—171no—
881#385—171no—
882#385—171no—
883#385—171no—
884#385—171no—
885#385—171no—
886#383—171no—
887#383—171no—
888#382—171no—
889#381—171no—
890#381—171no—
891#381—171no—
892#380—171no—
893#380—171no—
894#379—171no—
895C4×C4⋊C4—171no—
896C4×C4⋊C4—171no—
897C4×C4⋊C4—171no—
898C4×C4⋊C4—171no—
899C4×C4⋊C4—171no—
900C4×C4⋊C4—171no—
901C4×C4⋊C4—171no—
902C4×C4⋊C4—171no—
903C4×C4⋊C4—171no—
904C4×C4⋊C4—171no—
905C4×C4⋊C4—171no—
906C4×C4⋊C4—171no—
907C4×C4⋊C4—171no—
908C4×C4⋊C4C2×D1711yescharacteristic, complemented
909C4×C4⋊C4C2×D1711yescharacteristic, complemented
910C4×C4⋊C4C2×D1711yescharacteristic, complemented
911C4×C22⋊C4—171no—
912C4×C22⋊C4—171no—
913C4×C22⋊C4—171no—
914C4×C22⋊C4—171no—
915C4×C22⋊C4—171no—
916C4×C22⋊C4—171no—
917C4×C22⋊C4—171no—
918C4×C22⋊C4—171no—
919C4×C22⋊C4—171no—
920C4×C22⋊C4—171no—
921C4×C22⋊C4—171no—
922C4×C22⋊C4—171no—
923C4×C22⋊C4—171no—
924C4×C22⋊C4—171no—
925C4×C22⋊C4—171no—
926C4×C22⋊C4—171no—
927C4×C22⋊C4—171no—
928C4×C22⋊C4—171no—
929C4×C22⋊C4—171no—
930C4×C22⋊C4—171no—
931C4×C22⋊C4—171no—
932C4×C22⋊C4—171no—
933C4×C22⋊C4—171no—
934C4×C22⋊C4—171no—
935C4×C22⋊C4—171no—
936C4×C22⋊C4—171no—
937C4×C22⋊C4—171no—
938C4×C22⋊C4—171no—
939C4×C22⋊C4C2×D1711yescharacteristic
940C4×C22⋊C4C2×D1711yescharacteristic
941C4×C22⋊C4C2×D1711yescharacteristic
942C4×C22⋊C4C2×D1711yescharacteristic, complemented
943C4×C22⋊C4C2×D1711yescharacteristic, complemented
944C4×C22⋊C4C2×D1711yescharacteristic, complemented
945#376—171no—
946#376—171no—
947#376—171no—
948#376—171no—
949C2×#95—171no—
950C2×#95—171no—
951C2×#95—171no—
952C2×#95—171no—
953C43—171no—
954C43—171no—
955C43C2×D1711yescharacteristic, complemented
956C2×C17—24no—
957C2×C17—42no—
958C2×C17C2×C4×#4111yescharacteristic
959C2×C17C2×C4×#4111yescharacteristic
960C2×C17C4×H(5,𝔽2)11yescharacteristic
961C2×C17C2×#55111yescharacteristic
962C2×C17#347511yescharacteristic
963C2×C17#347511yescharacteristic
964C2×C17#348111yescharacteristic
965D17—24no—
966D17—42no—
967C25—171no—
968C22×Q8—171no—
969C22×D4—171no—
970C22×D4—171no—
971C22×D4C22×D1711yescharacteristic
972C23×C4—171no—
973C23×C4—171no—
974C23×C4—171no—
975C23×C4—171no—
976C23×C4—171no—
977C23×C4—171no—
978C23×C4—171no—
979C23×C4—171no—
980C23×C4—171no—
981C23×C4—171no—
982C23×C4—171no—
983C23×C4—344no—
984C23×C4—344no—
985C23×C4—682no—
986C23×C4C22×D1711yescharacteristic
987C23×C4C22×D1711yescharacteristic
988C23×C4C22×D1711yescharacteristic
989C23×C4C22×D1711yescharacteristic
990C23×C4C22×D1711yescharacteristic
991C23×C4C22×D1711yescharacteristic
992#126—178no—
993#126—178no—
994#124—178no—
995#123—178no—
996#123—178no—
997#123—178no—
998C22⋊Q8—178no—
999C22⋊Q8—178no—
1000#120—178no—
1001C4×Q8—682no—
1002C4×D4—24no—
1003C4×D4—24no—
1004C4×D4—178no—
1005C4×D4—344no—
1006C4×D4—344no—
1007C4×D4—682no—
1008C4×D4C4×D1718yescomplemented
1009#117—178no—
1010#117—178no—
1011#117—344no—
1012#117—344no—
1013C2×C4⋊C4—171no—
1014C2×C4⋊C4—171no—
1015C2×C4⋊C4—171no—
1016C2×C4⋊C4—171no—
1017C2×C4⋊C4—171no—
1018C2×C4⋊C4—171no—
1019C2×C4⋊C4—171no—
1020C2×C4⋊C4—171no—
1021C2×C4⋊C4—171no—
1022C2×C4⋊C4—171no—
1023C2×C4⋊C4—171no—
1024C2×C4⋊C4—171no—
1025C2×C4⋊C4—171no—
1026C2×C4⋊C4—171no—
1027C2×C4⋊C4—171no—
1028C2×C4⋊C4—171no—
1029C2×C4⋊C4—171no—
1030C2×C4⋊C4—171no—
1031C2×C4⋊C4—171no—
1032C2×C4⋊C4C22×D1711yescharacteristic
1033C2×C4⋊C4C22×D1711yescharacteristic
1034C2×C4⋊C4C22×D1711yescharacteristic
1035C2×C22⋊C4—171no—
1036C2×C22⋊C4—171no—
1037C2×C22⋊C4—171no—
1038C2×C22⋊C4—171no—
1039C2×C22⋊C4—178no—
1040C2×C22⋊C4—171no—
1041C2×C22⋊C4—171no—
1042C2×C22⋊C4—171no—
1043C2×C22⋊C4—171no—
1044C2×C22⋊C4—171no—
1045C2×C22⋊C4—171no—
1046C2×C22⋊C4—171no—
1047C2×C22⋊C4—171no—
1048C2×C22⋊C4—171no—
1049C2×C22⋊C4—178no—
1050C2×C22⋊C4—171no—
1051C2×C22⋊C4—171no—
1052C2×C22⋊C4—171no—
1053C2×C22⋊C4—171no—
1054C2×C22⋊C4—171no—
1055C2×C22⋊C4—171no—
1056C2×C22⋊C4—171no—
1057C2×C22⋊C4—171no—
1058C2×C22⋊C4—171no—
1059C2×C22⋊C4—171no—
1060C2×C22⋊C4—171no—
1061C2×C22⋊C4—171no—
1062C2×C22⋊C4—171no—
1063C2×C22⋊C4—171no—
1064C2×C22⋊C4—171no—
1065C2×C22⋊C4—344no—
1066C2×C22⋊C4—344no—
1067C2×C22⋊C4C22×D1711yescharacteristic
1068C2×C22⋊C4C22×D1711yescharacteristic
1069C2×C22⋊C4C22×D1711yescharacteristic
1070C2×C22⋊C4C22×D1711yescharacteristic
1071C2×C22⋊C4C22×D1711yescharacteristic
1072C2×C22⋊C4C22×D1711yescharacteristic
1073C2×C42—42no—
1074C2×C42—42no—
1075C2×C42—171no—
1076C2×C42—171no—
1077C2×C42—171no—
1078C2×C42—171no—
1079C2×C42—171no—
1080C2×C42—171no—
1081C2×C42—171no—
1082C2×C42—171no—
1083C2×C42—171no—
1084C2×C42—171no—
1085C2×C42—171no—
1086C2×C42—171no—
1087C2×C42—171no—
1088C2×C42—171no—
1089C2×C42—171no—
1090C2×C42—171no—
1091C2×C42—171no—
1092C2×C42—171no—
1093C2×C42—171no—
1094C2×C42—171no—
1095C2×C42—344no—
1096C2×C42—344no—
1097C2×C42—682no—
1098C2×C42C22×D1711yescharacteristic
1099C2×C42C22×D1711yescharacteristic
1100C2×C42C22×D1711yescharacteristic
1101C2×C42C22×D1711yescharacteristic
1102C2×C42C22×D1711yescharacteristic
1103C2×C42C22×D1711yescharacteristic
1104C2×C42C22×D1711yescharacteristic
1105C2×C42C22×D1711yescharacteristic
1106C2×C42C22×D1711yescharacteristic
1107C2×C42C22×D1711yescharacteristic
1108C2×C42C22×D1711yescharacteristic
1109C2×C42C22×D1711yescharacteristic
1110C2×C42C22×D1711yescharacteristic
1111#95—171no—
1112#95—171no—
1113#95—171no—
1114#95—171no—
1115#95—171no—
1116#95—171no—
1117#95—171no—
1118#95—171no—
1119#95—171no—
1120#95—171no—
1121#95—171no—
1122#95—171no—
1123#95—171no—
1124#95—171no—
1125#95—171no—
1126#95—171no—
1127#95—171no—
1128#95—171no—
1129#95—171no—
1130#95—171no—
1131#95—171no—
1132#95—171no—
1133#95—171no—
1134#95—171no—
1135#95—171no—
1136#95—171no—
1137#95—171no—
1138#95—171no—
1139#95—171no—
1140#95—171no—
1141#95—171no—
1142#95—171no—
1143#95—171no—
1144#95—171no—
1145#95—171no—
1146#95—171no—
1147#95—171no—
1148#95—171no—
1149#95C22×D1711yescharacteristic
1150#95C22×D1711yescharacteristic
1151#95C22×D1711yescharacteristic
1152#95C22×D1711yescharacteristic
1153#95C22×D1711yescharacteristic
1154#95C22×D1711yescharacteristic
1155C17C4×#55111yescharacteristic, complemented, Sylow
1156C24—171no—
1157C24—171no—
1158C24—174no—
1159C24—342no—
1160C24—342no—
1161C24—342no—
1162C24—342no—
1163C24—681no—
1164C24—681no—
1165C24C23×D1711yescharacteristic
1166C24C23×D1711yescharacteristic
1167C2×Q8—174no—
1168C2×Q8—681no—
1169C2×Q8—681no—
1170C2×D4—22no—
1171C2×D4—22no—
1172C2×D4—174no—
1173C2×D4—174no—
1174C2×D4—342no—
1175C2×D4—342no—
1176C2×D4—681no—
1177C2×D4—681no—
1178C2×D4C2×C4×D1714yes—
1179C22×C4—22no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—22no—
1183C22×C4—22no—
1184C22×C4—22no—
1185C22×C4—22no—
1186C22×C4—22no—
1187C22×C4—22no—
1188C22×C4—41no—
1189C22×C4—41no—
1190C22×C4—41no—
1191C22×C4—41no—
1192C22×C4—41no—
1193C22×C4—41no—
1194C22×C4—174no—
1195C22×C4—171no—
1196C22×C4—171no—
1197C22×C4—171no—
1198C22×C4—171no—
1199C22×C4—171no—
1200C22×C4—171no—
1201C22×C4—171no—
1202C22×C4—171no—
1203C22×C4—174no—
1204C22×C4—174no—
1205C22×C4—174no—
1206C22×C4—171no—
1207C22×C4—171no—
1208C22×C4—171no—
1209C22×C4—171no—
1210C22×C4—171no—
1211C22×C4—171no—
1212C22×C4—342no—
1213C22×C4—342no—
1214C22×C4—342no—
1215C22×C4—342no—
1216C22×C4—342no—
1217C22×C4—342no—
1218C22×C4—342no—
1219C22×C4—342no—
1220C22×C4—342no—
1221C22×C4—342no—
1222C22×C4—342no—
1223C22×C4—342no—
1224C22×C4—342no—
1225C22×C4—342no—
1226C22×C4—342no—
1227C22×C4—342no—
1228C22×C4—342no—
1229C22×C4—342no—
1230C22×C4—342no—
1231C22×C4—342no—
1232C22×C4—342no—
1233C22×C4—681no—
1234C22×C4—681no—
1235C22×C4—681no—
1236C22×C4—681no—
1237C22×C4—681no—
1238C22×C4—681no—
1239C22×C4—6816no—
1240C22×C4—681no—
1241C22×C4—681no—
1242C22×C4C2×C4×D1714yes—
1243C22×C4C2×C4×D1714yescomplemented
1244C22×C4#6325214yes—
1245C22×C4C23×D1711yescharacteristic
1246C22×C4C23×D1711yescharacteristic
1247C22×C4C23×D1711yescharacteristic
1248C22×C4C23×D1711yescharacteristic
1249C22×C4C23×D1711yescharacteristic
1250C22×C4C23×D1711yescharacteristic
1251C22×C4C23×D1711yescharacteristic
1252C22×C4C23×D1711yescharacteristic
1253C22×C4C23×D1711yescharacteristic
1254C22×C4C23×D1711yescharacteristic
1255C22×C4C23×D1711yescharacteristic
1256C22×C4C23×D1711yescharacteristic
1257C22×C4C23×D1711yescharacteristic
1258C4⋊C4—22no—
1259C4⋊C4—22no—
1260C4⋊C4—174no—
1261C4⋊C4—174no—
1262C4⋊C4—174no—
1263C4⋊C4—174no—
1264C4⋊C4—174no—
1265C4⋊C4—174no—
1266C4⋊C4—174no—
1267C4⋊C4—342no—
1268C4⋊C4—342no—
1269C4⋊C4—342no—
1270C4⋊C4—342no—
1271C4⋊C4—342no—
1272C4⋊C4—342no—
1273C4⋊C4—681no—
1274C4⋊C4—681no—
1275C4⋊C4—681no—
1276C4⋊C4—681no—
1277C4⋊C4—681no—
1278C4⋊C4—681no—
1279C4⋊C4C2×C4×D1714yescomplemented
1280C22⋊C4—22no—
1281C22⋊C4—22no—
1282C22⋊C4—22no—
1283C22⋊C4—174no—
1284C22⋊C4—174no—
1285C22⋊C4—174no—
1286C22⋊C4—174no—
1287C22⋊C4—174no—
1288C22⋊C4—174no—
1289C22⋊C4—174no—
1290C22⋊C4—174no—
1291C22⋊C4—174no—
1292C22⋊C4—174no—
1293C22⋊C4—174no—
1294C22⋊C4—174no—
1295C22⋊C4—174no—
1296C22⋊C4—342no—
1297C22⋊C4—342no—
1298C22⋊C4—342no—
1299C22⋊C4—342no—
1300C22⋊C4—342no—
1301C22⋊C4—342no—
1302C22⋊C4—342no—
1303C22⋊C4—342no—
1304C22⋊C4—342no—
1305C22⋊C4—342no—
1306C22⋊C4—342no—
1307C22⋊C4—681no—
1308C22⋊C4—681no—
1309C22⋊C4—681no—
1310C22⋊C4—681no—
1311C22⋊C4C2×C4×D1714yes—
1312C22⋊C4C2×C4×D1714yescomplemented
1313C22⋊C4#6325214yes—
1314C42—22no—
1315C42—22no—
1316C42—22no—
1317C42—22no—
1318C42—22no—
1319C42—22no—
1320C42—22no—
1321C42—41no—
1322C42—41no—
1323C42—41no—
1324C42—41no—
1325C42—41no—
1326C42—174no—
1327C42—174no—
1328C42—342no—
1329C42—342no—
1330C42—342no—
1331C42—342no—
1332C42—342no—
1333C42—342no—
1334C42—342no—
1335C42—342no—
1336C42—342no—
1337C42—342no—
1338C42—342no—
1339C42—342no—
1340C42—342no—
1341C42—342no—
1342C42—681no—
1343C42—681no—
1344C42—681no—
1345C42—681no—
1346C42C2×C4×D1714yescomplemented
1347C23—21no—
1348C23—21no—
1349C23—21no—
1350C23—21no—
1351C23—21no—
1352C23—21no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—172no—
1358C23—172no—
1359C23—172no—
1360C23—172no—
1361C23—348no—
1362C23—341no—
1363C23—341no—
1364C23—341no—
1365C23—341no—
1366C23—348no—
1367C23—341no—
1368C23—341no—
1369C23—341no—
1370C23—341no—
1371C23—341no—
1372C23—341no—
1373C23—684no—
1374C23—684no—
1375C23—684no—
1376C23—684no—
1377C23—684no—
1378C23C22×C4×D1712yes—
1379C23C22×C4×D1712yes—
1380C23C2×#6325212yes—
1381C23C2×#6325212yes—
1382C23C24×D1711yescharacteristic
1383Q8—684no—
1384D4—28no—
1385D4—348no—
1386D4—684no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—28no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—44no—
1416C2×C4—44no—
1417C2×C4—44no—
1418C2×C4—44no—
1419C2×C4—44no—
1420C2×C4—172no—
1421C2×C4—172no—
1422C2×C4—172no—
1423C2×C4—172no—
1424C2×C4—172no—
1425C2×C4—172no—
1426C2×C4—172no—
1427C2×C4—172no—
1428C2×C4—348no—
1429C2×C4—348no—
1430C2×C4—341no—
1431C2×C4—341no—
1432C2×C4—341no—
1433C2×C4—341no—
1434C2×C4—341no—
1435C2×C4—341no—
1436C2×C4—341no—
1437C2×C4—341no—
1438C2×C4—341no—
1439C2×C4—341no—
1440C2×C4—341no—
1441C2×C4—341no—
1442C2×C4—341no—
1443C2×C4—341no—
1444C2×C4—341no—
1445C2×C4—341no—
1446C2×C4—348no—
1447C2×C4—341no—
1448C2×C4—341no—
1449C2×C4—341no—
1450C2×C4—341no—
1451C2×C4—341no—
1452C2×C4—341no—
1453C2×C4—341no—
1454C2×C4—341no—
1455C2×C4—341no—
1456C2×C4—341no—
1457C2×C4—341no—
1458C2×C4—341no—
1459C2×C4—341no—
1460C2×C4—341no—
1461C2×C4—341no—
1462C2×C4—341no—
1463C2×C4—341no—
1464C2×C4—341no—
1465C2×C4—684no—
1466C2×C4—684no—
1467C2×C4—684no—
1468C2×C4—684no—
1469C2×C4—684no—
1470C2×C4—684no—
1471C2×C4—684no—
1472C2×C4—684no—
1473C2×C4C22×C4×D1712yes—
1474C2×C4C22×C4×D1712yes—
1475C2×C4C22×C4×D1712yes—
1476C2×C4C22×C4×D1712yes—
1477C2×C4C22×C4×D1712yes—
1478C2×C4C2×#6325212yes—
1479C2×C4C2×#6325212yes—
1480C2×C4C2×#6325212yes—
1481C2×C4C2×#6325212yes—
1482C2×C4#1058769112yes—
1483C2×C4#41×D1712yes—
1484C2×C4#41×D1712yes—
1485C22—22no—
1486C22—22no—
1487C22—22no—
1488C22—22no—
1489C22—22no—
1490C22—22no—
1491C22—22no—
1492C22—22no—
1493C22—22no—
1494C22—41no—
1495C22—41no—
1496C22—41no—
1497C22—41no—
1498C22—174no—
1499C22—342no—
1500C22—342no—
1501C22—342no—
1502C22—342no—
1503C22—342no—
1504C22—342no—
1505C22—342no—
1506C22—342no—
1507C22—342no—
1508C22—6816no—
1509C22—681no—
1510C22—681no—
1511C22—681no—
1512C22—681no—
1513C22C4×#6325214yes—
1514C22C23×C4×D1711yescharacteristic
1515C22C2×#41×D1711yescharacteristic
1516C22C2×#41×D1711yescharacteristic
1517C22C22×#6325211yescharacteristic
1518C22C22×#6325211yescharacteristic
1519C22C2×#1058769111yescharacteristic
1520C22#1176364511yescharacteristic
1521C4—22no—
1522C4—22no—
1523C4—22no—
1524C4—22no—
1525C4—22no—
1526C4—22no—
1527C4—22no—
1528C4—22no—
1529C4—22no—
1530C4—41no—
1531C4—41no—
1532C4—41no—
1533C4—342no—
1534C4—342no—
1535C4—342no—
1536C4—342no—
1537C4—342no—
1538C4—342no—
1539C4—342no—
1540C4—342no—
1541C4—681no—
1542C4—681no—
1543C4—681no—
1544C4—681no—
1545C4—681no—
1546C4—681no—
1547C4#1176348814yesdirect product factor
1548C2—24no—
1549C2—42no—
1550C2—344no—
1551C2—682no—
1552C2C4×#41×D1711yescharacteristic
1553C2C2×C4×#6325211yescharacteristic
1554C2C4×#1058769111yescharacteristic
1555C2C2×#1176348811yescharacteristic
1556C2#1454234611yescharacteristic
1557C2#1454234811yescharacteristic
1558C2#1454238811yescharacteristic
subgroupG/H
centerC22×C4C23×D17
commutatorC22×C17C24×C4
FrattiniC23C24×D17
FittingC42×D4×C17C2
socle, cosocleC23×C17C25
prime radicalC2×#10587623C22
hypercenterC42×D4D17
hypocenterC17C4×#551
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C22×C4 ◁ C42×D4

Complements

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

NH ≅ G/Ntype
2. #14531915C2semidirect
3. #14531900C2semidirect
4. #14531898C2semidirect
5. #14531892C2semidirect
6. #14531868C2semidirect
7. #14531867C2semidirect
8. #14531777C2semidirect
9. #14531770C2semidirect
11. #14531727C2semidirect
12. #14531724C2semidirect
13. #14531647C2semidirect
14. #14531638C2semidirect
15. #14531636C2semidirect
16. #14531627C2semidirect
17. C4×#10587584C2semidirect
18. C4×#10587562C2semidirect
19. C4×#10587571C2semidirect
20. C4×#10587610C2semidirect
21. C4×#10587582C2semidirect
22. C4×#10587615C2semidirect
23. C4×#10587569C2semidirect
24. C4×#10587621C2semidirect
26. C42×C22⋊D17C2semidirect
27. C4×#10587558C2semidirect
28. C4×#10587563C2semidirect
29. C2×C4×#63227C2semidirect
30. C4×C22⋊C4×D17C2semidirect
31. C42×D4×C17C2semidirect
33. #11763488C4direct (N × H)
43. C2×C4×Dic34C22semidirect
59. #11762715C22semidirect
60. #11762713C22semidirect
61. #11762713C22semidirect
63. #11762707C22semidirect
64. #11762704C22semidirect
65. #11762703C22semidirect
66. #11762702C22semidirect
67. #11762702C22semidirect
78. #11762697C22semidirect
79. #11762697C22semidirect
80. #11762697C22semidirect
81. #11762695C22semidirect
82. #11762695C22semidirect
83. #11762693C22semidirect
84. #11762693C22semidirect
85. #11762693C22semidirect
86. #11762693C22semidirect
87. #11762693C22semidirect
88. #11762693C22semidirect
89. #11762693C22semidirect
90. #11762692C22semidirect
91. #11762692C22semidirect
92. #11762691C22semidirect
93. #11762691C22semidirect
94. #11762690C22semidirect
95. #11762690C22semidirect
96. #11762690C22semidirect
107. #11762682C22semidirect
113. #11762677C22semidirect
114. #11762676C22semidirect
115. #11762673C22semidirect
116. #11762672C22semidirect
122. C4×#63225C22semidirect
123. C4×#63225C22semidirect
124. C4×#63225C22semidirect
125. C4×#63225C22semidirect
126. C4×#63225C22semidirect
127. C4×#63225C22semidirect
128. C4×#63225C22semidirect
129. C4×#63225C22semidirect
130. C4×#63225C22semidirect
131. C4×#63225C22semidirect
132. C4×C4⋊Dic17C22semidirect
133. #11762660C22semidirect
134. #11762660C22semidirect
157. C4×C22⋊Dic17C22semidirect
158. C4×C22⋊Dic17C22semidirect
159. C4×C22⋊Dic17C22semidirect
160. C4×C22⋊Dic17C22semidirect
163. #11762655C22semidirect
164. #11762655C22semidirect
165. #11762654C22semidirect
166. #11762654C22semidirect
171. C42×Dic17C22semidirect
172. C42×Dic17C22semidirect
177. C22×C42×C17C22semidirect
178. C4×C4⋊C4×C17C22semidirect
179. C4×C4⋊C4×C17C22semidirect
180. C4×C4⋊C4×C17C22semidirect
184. C4×C22⋊C4×C17C22semidirect
185. C4×C22⋊C4×C17C22semidirect
186. C4×C22⋊C4×C17C22semidirect
187. C43×C17C22semidirect
215. C4×D4×C17C2×C4semidirect
251. #10587621C2×C4semidirect
252. #10587615C2×C4semidirect
256. C4×C22⋊D17C2×C4semidirect
258. C2×#63227C2×C4semidirect
280. #10587610C2×C4semidirect
318. #10587584C2×C4semidirect
319. #10587582C2×C4semidirect
320. #10587571C2×C4semidirect
321. #10587569C2×C4semidirect
323. C22⋊C4×D17C2×C4semidirect
325. #10587563C2×C4semidirect
326. #10587562C2×C4semidirect
328. #10587558C2×C4semidirect
406. C22×C4×C17C22×C4semidirect
477. C2×Dic34C22×C4semidirect
480. C4⋊C4×C17C22×C4semidirect
485. C22⋊C4×C17C22×C4semidirect
499. C42×C17C22×C4semidirect
508. C22⋊Dic17C22×C4semidirect
509. C22⋊Dic17C22×C4semidirect
530. C4⋊Dic17C22×C4semidirect
541. #63225C22×C4semidirect
542. #63225C22×C4semidirect
543. #63225C22×C4semidirect
544. #63225C22×C4semidirect
545. #63225C22×C4semidirect
546. #63225C22×C4semidirect
565. C4×Dic17C22×C4semidirect
566. C4×Dic17C22×C4semidirect
732. C42×D4D17semidirect
785. C4×C17#551semidirect
831. C22×C42C2×D17semidirect
908. C4×C4⋊C4C2×D17semidirect
909. C4×C4⋊C4C2×D17semidirect
910. C4×C4⋊C4C2×D17semidirect
942. C4×C22⋊C4C2×D17semidirect
943. C4×C22⋊C4C2×D17semidirect
944. C4×C22⋊C4C2×D17semidirect
955. C43C2×D17semidirect
1008. C4×D4C4×D17semidirect
1155. C17C4×#551semidirect
1243. C22×C4C2×C4×D17semidirect
1279. C4⋊C4C2×C4×D17semidirect
1312. C22⋊C4C2×C4×D17semidirect
1346. C42C2×C4×D17semidirect
1547. C4#11763488direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#117634882
#145319152
#145319002
#145318982
#145318922
#145318682
#145318672
#145317772
#145317702
#145317612
#145317272
#145317242
#145316472
#145316382
#145316362
#145316272
C4×#105875842
C4×#105875622
C4×#105875712
C4×#105876102
C4×#105875822
C4×#105876152
C4×#105875692
C4×#105876212
C4×#105876232
C42×C22⋊D172
C4×#105875582
C4×#105875632
C2×C4×#632272
C4×C22⋊C4×D172
C42×D4×C172
C4×#55117