Finite Group Databasebeta

← #17204520

Subgroups — #17204520

Order 4352.

2804 conjugacy classes of subgroups.

The subgroup lattice has 1708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11763343C211yesmaximal, characteristic, complemented
2C2×#11763318C211yesmaximal, characteristic, complemented
3#14533934C211yesmaximal, characteristic, complemented
4#14533919C211yesmaximal, characteristic, complemented
5#14533904C211yesmaximal, characteristic, complemented
6#14533889C211yesmaximal, characteristic, complemented
7#14533872C211yesmaximal, characteristic, complemented
8#14533860C211yesmaximal, characteristic, complemented
9#14533850C211yesmaximal, characteristic, complemented
10#14533835C211yesmaximal, characteristic, complemented
11#14533797C211yesmaximal, characteristic, complemented
12#14533748C211yesmaximal, characteristic, complemented
13#14533714C211yesmaximal, characteristic, complemented
14#14533679C211yesmaximal, characteristic, complemented
15#14533106C211yesmaximal, characteristic, complemented
16#14532915C211yesmaximal, characteristic, complemented
17#14532331C211yesmaximal, characteristic, complemented
18#14532318C211yesmaximal, characteristic, complemented
19#14532060C211yesmaximal, characteristic, complemented
20#14532047C211yesmaximal, characteristic, complemented
21#14532028C211yesmaximal, characteristic, complemented
22#14532000C211yesmaximal, characteristic, complemented
23C4×#10587571C211yesmaximal, characteristic, complemented
24C4×#10587581C211yesmaximal, characteristic, complemented
25C4×#10587625C211yesmaximal, characteristic, complemented
26C4×#10587568C211yesmaximal, characteristic, complemented
27#14531270C211yesmaximal, characteristic, complemented
28#14531245C211yesmaximal, characteristic, complemented
29C4×#10587567C211yesmaximal, characteristic, complemented
30C2×C4×#63227C211yesmaximal, characteristic, complemented
31C4×C17×#123C211yesmaximal, characteristic, complemented
32C22×#63252C2211yescharacteristic
33C23×C4×D17C2211yescharacteristic
34#11763343—28no—
35C2×#10587562C2211yescharacteristic, complemented
36C2×#10587562C2211yescharacteristic, complemented
37C2×#10587556C2211yescharacteristic, complemented
38C2×#10587561C2211yescharacteristic, complemented
39C2×#10587571C2211yescharacteristic
40#11763318—28no—
41C2×#10587580C2211yescharacteristic
42C2×#10587615C2211yescharacteristic
43C2×#10587615C2211yescharacteristic
44C2×#10587569C2211yescharacteristic
45C2×#10587610C2211yescharacteristic
46C2×#10587582C2211yescharacteristic
47C2×#10587564C2211yescharacteristic
48C2×#10587581C2211yescharacteristic
49C2×#10587616C2211yescharacteristic
50C2×#10587570C2211yescharacteristic
51C2×#10587625C2211yescharacteristic
52C2×#10587625C2211yescharacteristic
53C2×#10587568C2211yescharacteristic
54C2×#10587568C2211yescharacteristic
55C2×#10587623C2211yescharacteristic
56C2×C4×Dic34C2211yescharacteristic, complemented
57C2×C4×D68C2211yescharacteristic
58C2×C4×D68C2211yescharacteristic
59C2×C4×D68C2211yescharacteristic
60C2×C4×D68C2211yescharacteristic, complemented
61C2×C4×C22⋊D17C2211yescharacteristic
62C2×C4×C22⋊D17C2211yescharacteristic
63C2×C4×C22⋊D17C2211yescharacteristic
64C2×C4×C22⋊D17C2211yescharacteristic, complemented
65C2×#10587567C2211yescharacteristic
66C2×#10587567C2211yescharacteristic
67C2×#10587558C2211yescharacteristic
68C2×#10587558C2211yescharacteristic, complemented
69C2×#10587558C2211yescharacteristic, complemented
70C22×#63227C2211yescharacteristic
71C22×#63227C2211yescharacteristic
72C22×C4×Dic17C2211yescharacteristic
73C2×C42×D17C2211yescharacteristic, complemented
74#11762751C2211yescharacteristic, complemented
75#11762750C2211yescharacteristic, complemented
76#11762744C2211yescharacteristic
77#11762744C2211yescharacteristic
78#11762743C2211yescharacteristic, complemented
79#11762743C2211yescharacteristic, complemented
80#11762742C2211yescharacteristic, complemented
81#11762740C2211yescharacteristic, complemented
82#11762738C2211yescharacteristic
83#11762738C2211yescharacteristic, complemented
84#11762738C2211yescharacteristic, complemented
85#11762735C2211yescharacteristic, complemented
86#11762733C2211yescharacteristic
87#11762733C2211yescharacteristic
88#11762732C2211yescharacteristic, complemented
89#11762731C2211yescharacteristic
90#11762730C2211yescharacteristic, complemented
91#11762729C2211yescharacteristic, complemented
92#11762727C2211yescharacteristic
93#11762727C2211yescharacteristic
94#11762727C2211yescharacteristic
95#11762726C2211yescharacteristic
96#11762725C2211yescharacteristic
97#11762725C2211yescharacteristic, complemented
98#11762724C2211yescharacteristic
99#11762724C2211yescharacteristic, complemented
100#11762722C2211yescharacteristic
101#11762722C2211yescharacteristic, complemented
102#11762719C2211yescharacteristic
103#11762718C2211yescharacteristic
104#11762718C2211yescharacteristic
105#11762718C2211yescharacteristic, complemented
106#11762713C2211yescharacteristic, complemented
107#11762713C2211yescharacteristic, complemented
108#11762713C2211yescharacteristic, complemented
109#11762710C2211yescharacteristic
110#11762710C2211yescharacteristic
111#11762710C2211yescharacteristic
112#11762709C2211yescharacteristic
113#11762709C2211yescharacteristic
114#11762709C2211yescharacteristic
115#11762709C2211yescharacteristic, complemented
116#11762708C2211yescharacteristic, complemented
117#11762705C2211yescharacteristic, complemented
118#11762705C2211yescharacteristic, complemented
119#11762704C2211yescharacteristic, complemented
120#11762703C2211yescharacteristic, complemented
121#11762702C2211yescharacteristic, complemented
122#11762701C2211yescharacteristic
123#11762701C2211yescharacteristic
124#11762701C2211yescharacteristic, complemented
125#11762699C2211yescharacteristic, complemented
126#11762698C2211yescharacteristic
127#11762698C2211yescharacteristic
128#11762698C2211yescharacteristic
129#11762698C2211yescharacteristic, complemented
130#11762698C2211yescharacteristic, complemented
131#11762697C2211yescharacteristic, complemented
132#11762689C2211yescharacteristic
133#11762687C2211yescharacteristic
134#11762687C2211yescharacteristic
135#11762687C2211yescharacteristic
136#11762687C2211yescharacteristic
137#11762687C2211yescharacteristic
138#11762687C2211yescharacteristic, complemented
139#11762686C2211yescharacteristic
140#11762686C2211yescharacteristic
141#11762685C2211yescharacteristic, complemented
142#11762685C2211yescharacteristic, complemented
143#11762684C2211yescharacteristic
144#11762683C2211yescharacteristic
145#11762683C2211yescharacteristic
146#11762673C2211yescharacteristic, complemented
147#11762667C2211yescharacteristic
148#11762666C2211yescharacteristic, complemented
149#11762664C2211yescharacteristic
150C4×#63225C2211yescharacteristic, complemented
151C4×#63225C2211yescharacteristic, complemented
152#11762660C2211yescharacteristic, complemented
153#11762660C2211yescharacteristic, complemented
154C22⋊C4×Dic17C2211yescharacteristic
155C22⋊C4×Dic17C2211yescharacteristic
156C4×#63227C2211yescharacteristic
157C4×#63227C2211yescharacteristic
158C4×#63227C2211yescharacteristic
159C4×#63227C2211yescharacteristic
160C4×#63227C2211yescharacteristic
161C4×#63227C2211yescharacteristic
162C4×#63227C2211yescharacteristic
163C4×#63227C2211yescharacteristic
164C4×#63227C2211yescharacteristic
165C4×#63227C2211yescharacteristic
166C4×#63227C2211yescharacteristic, complemented
167C4×#63227C2211yescharacteristic, complemented
168C4×C22⋊Dic17C2211yescharacteristic, complemented
169#11762656C2211yescharacteristic, complemented
170#11762656C2211yescharacteristic, complemented
171C2×#10587502C2211yescharacteristic
172C2×#10587502C2211yescharacteristic
173C42×Dic17C2211yescharacteristic, complemented
174C2×C17×#123C2211yescharacteristic
175C2×C4×D4×C17C2211yescharacteristic
176C22×C42×C17C2211yescharacteristic
177C17×#388C2211yescharacteristic, complemented
178C17×#388C2211yescharacteristic, complemented
179C17×#387C2211yescharacteristic, complemented
180C17×#387C2211yescharacteristic, complemented
181C17×#386C2211yescharacteristic
182C17×#385C2211yescharacteristic
183C17×#381C2211yescharacteristic
184C4×C4⋊C4×C17C2211yescharacteristic, complemented
185C4×C4⋊C4×C17C2211yescharacteristic, complemented
186C4×C22⋊C4×C17C2211yescharacteristic
187C4×C22⋊C4×C17C2211yescharacteristic, complemented
188C4×C22⋊C4×C17C2211yescharacteristic, complemented
189C24×D17C2311yescharacteristic
190C22×D4×C17C2311yescharacteristic
191C23×C4×C17C2311yescharacteristic
192C23×C4×C17C2311yescharacteristic
193C23×C4×C17C2311yescharacteristic
194C23×C4×C17C2311yescharacteristic
195C22×C22⋊D17C2311yescharacteristic
196C22×C22⋊D17C2311yescharacteristic
197C22×C22⋊D17C2311yescharacteristic
198C22×C22⋊D17C2311yescharacteristic
199C22×C22⋊D17C2311yescharacteristic
200C22×C22⋊D17C2311yescharacteristic
201C23×Dic17C2311yescharacteristic
202C23×Dic17C2311yescharacteristic
203C23×Dic17C2311yescharacteristic
204C2×#63252—24no—
205C2×#63252—24no—
206C2×#63252—42no—
207C22×D68C2311yescharacteristic
208C22×D68C2311yescharacteristic
209C22×D68C2311yescharacteristic
210C22×D68C2311yescharacteristic
211C22×D68C2311yescharacteristic
212C22×C4×D17—24no—
213C22×C4×D17—24no—
214C22×C4×D17—42no—
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×Dic34C2311yescharacteristic
224C22×Dic34C2311yescharacteristic
225C17×#123—24no—
226C4×D4×C17—24no—
227C2×C4⋊C4×C17C2311yescharacteristic
228C2×C4⋊C4×C17C2311yescharacteristic
229C2×C4⋊C4×C17C2311yescharacteristic
230C2×C4⋊C4×C17C2311yescharacteristic
231C2×C4⋊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×C22⋊C4×C17C2311yescharacteristic
239C2×C22⋊C4×C17C2311yescharacteristic
240C2×C42×C17—24no—
241C2×C42×C17C2311yescharacteristic
242C2×C42×C17C2311yescharacteristic
243C2×C42×C17C2311yescharacteristic
244C2×C42×C17C2311yescharacteristic
245C2×C42×C17C2311yescharacteristic
246C2×C42×C17C2311yescharacteristic
247C2×C42×C17C2311yescharacteristic
248C2×C22⋊Dic17C2311yescharacteristic
249C2×C22⋊Dic17C2311yescharacteristic
250C2×C22⋊Dic17C2311yescharacteristic
251C2×C22⋊Dic17C2311yescharacteristic
252C2×C22⋊Dic17C2311yescharacteristic
253C2×C22⋊Dic17C2311yescharacteristic
254#10587625—24no—
255#10587625—24no—
256#10587623—24no—
257#10587616—24no—
258#10587615—24no—
259#10587615—24no—
260C4×C22⋊D17—24no—
261C4×C22⋊D17—24no—
262C4×C22⋊D17—42no—
263C4×C22⋊D17D418yescomplemented
264C2×#63227—24no—
265C2×#63227—24no—
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
295C2×#63227C2311yescharacteristic
296C2×#63227C2311yescharacteristic
297C2×#63227C2311yescharacteristic
298C2×#63227C2311yescharacteristic
299C2×#63227C2311yescharacteristic
300C2×C4⋊Dic17C2311yescharacteristic
301C2×C4⋊Dic17C2311yescharacteristic
302C2×C4⋊Dic17C2311yescharacteristic
303C2×C4⋊Dic17C2311yescharacteristic
304C2×C4⋊Dic17C2311yescharacteristic
305#10587610—24no—
306C2×#63225C2311yescharacteristic
307C2×#63225C2311yescharacteristic
308C2×#63225C2311yescharacteristic
309C2×#63225C2311yescharacteristic
310C2×#63225C2311yescharacteristic
311C2×#63225C2311yescharacteristic
312C2×#63225C2311yescharacteristic
313C2×#63225C2311yescharacteristic
314C2×#63225C2311yescharacteristic
315C2×#63225C2311yescharacteristic
316C2×#63225C2311yescharacteristic
317C2×#63225C2311yescharacteristic
318C2×#63225C2311yescharacteristic
319C2×#63225C2311yescharacteristic
320C2×#63225C2311yescharacteristic
321C2×#63225C2311yescharacteristic
322C2×C4×Dic17—42no—
323C2×C4×Dic17C2311yescharacteristic
324C2×C4×Dic17C2311yescharacteristic
325C2×C4×Dic17C2311yescharacteristic
326C2×C4×Dic17C2311yescharacteristic
327C2×C4×Dic17C2311yescharacteristic
328C2×C4×Dic17C2311yescharacteristic
329C2×C4×Dic17C2311yescharacteristic
330C2×C4×Dic17C2311yescharacteristic
331C2×C4×Dic17C2311yescharacteristic
332C2×C4×Dic17C2311yescharacteristic
333C2×C4×Dic17C2311yescharacteristic
334C2×C4×Dic17C2311yescharacteristic
335#10587582—24no—
336#10587581—24no—
337#10587580—24no—
338#10587571—24no—
339#10587570—24no—
340#10587569—24no—
341#10587568—24no—
342#10587568—24no—
343#10587567—24no—
344#10587567—24no—
345#10587564—24no—
346#10587562—24no—
347#10587562—24no—
348#10587561—24no—
349C4×D68—24no—
350C4×D68—24no—
351C4×D68—24no—
352C4×D68—42no—
353#10587558—24no—
354#10587558—24no—
355#10587558—24no—
356C42×D17—42no—
357#10587556—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—41no—
399C23×D17—41no—
400C23×D17C2411yescharacteristic
401C23×D17C2411yescharacteristic
402C23×D17C2411yescharacteristic
403C23×D17C2411yescharacteristic
404C2×D4×C17—22no—
405C2×D4×C17—22no—
406C2×D4×C17—22no—
407C22×C4×C17—22no—
408C22×C4×C17—22no—
409C22×C4×C17—22no—
410C22×C4×C17—22no—
411C22×C4×C17—22no—
412C22×C4×C17—22no—
413C22×C4×C17—22no—
414C22×C4×C17—22no—
415C22×C4×C17—22no—
416C22×C4×C17—22no—
417C22×C4×C17—41no—
418C22×C4×C17C2×D414yes—
419C22×C4×C17C2411yescharacteristic
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
432C2×C22⋊D17—22no—
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—22no—
442C2×C22⋊D17—22no—
443C2×C22⋊D17—22no—
444C2×C22⋊D17—41no—
445C2×C22⋊D17—41no—
446C2×C22⋊D17—41no—
447C2×C22⋊D17—41no—
448C2×C22⋊D17—41no—
449C2×C22⋊D17C2×D414yes—
450C22×Dic17—22no—
451C22×Dic17—22no—
452C22×Dic17—22no—
453C22×Dic17—22no—
454C22×Dic17—41no—
455C22×Dic17—41no—
456C22×Dic17—41no—
457C22×Dic17—41no—
458C22×Dic17#4114yescomplemented
459C22×Dic17C2411yescharacteristic
460C22×Dic17C2411yescharacteristic
461C22×Dic17C2411yescharacteristic
462C22×Dic17C2411yescharacteristic
463C22×Dic17C2411yescharacteristic
464C22×Dic17C2411yescharacteristic
465C22×Dic17C2411yescharacteristic
466C22×Dic17C2411yescharacteristic
467C22×Dic17C2411yescharacteristic
468C22×Dic17C2411yescharacteristic
469C22×Dic17C2411yescharacteristic
470C22×Dic17C2411yescharacteristic
471#63252—416no—
472C2×D68—22no—
473C2×D68—22no—
474C2×D68—22no—
475C2×D68—22no—
476C2×D68—22no—
477C2×D68—22no—
478C2×D68—22no—
479C2×D68—22no—
480C2×D68—22no—
481C2×D68—22no—
482C2×D68—41no—
483C2×D68—41no—
484C2×D68—41no—
485C2×D68—41no—
486C2×D68—41no—
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—22no—
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×D17C2×D414yes—
511C2×C4×D17#4114yes—
512C2×Dic34—22no—
513C2×Dic34—22no—
514C2×Dic34—22no—
515C2×Dic34—22no—
516C2×Dic34—41no—
517C2×Dic34—41no—
518C4⋊C4×C17—22no—
519C4⋊C4×C17—22no—
520C4⋊C4×C17—22no—
521C4⋊C4×C17—22no—
522C4⋊C4×C17—41no—
523C22⋊C4×C17—22no—
524C22⋊C4×C17—22no—
525C22⋊C4×C17—22no—
526C22⋊C4×C17—22no—
527C22⋊C4×C17—22no—
528C22⋊C4×C17—22no—
529C22⋊C4×C17—41no—
530C22⋊C4×C17#4114yescomplemented
531C42×C17—22no—
532C42×C17—22no—
533C42×C17—22no—
534C42×C17—22no—
535C42×C17—22no—
536C42×C17—22no—
537C42×C17—22no—
538C22⋊Dic17—22no—
539C22⋊Dic17—22no—
540C22⋊Dic17—22no—
541C22⋊Dic17—22no—
542C22⋊Dic17—41no—
543C22⋊Dic17C2×D414yes—
544#63227—22no—
545#63227—22no—
546#63227—22no—
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—22no—
571#63227—22no—
572#63227—41no—
573#63227—41no—
574#63227—41no—
575#63227—41no—
576#63227C2×D414yes—
577#63227#4114yescomplemented
578C4⋊Dic17—22no—
579C4⋊Dic17—22no—
580C4⋊Dic17—22no—
581C4⋊Dic17—22no—
582C4⋊Dic17—41no—
583#63225—22no—
584#63225—22no—
585#63225—22no—
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—22no—
596#63225—41no—
597#63225—41no—
598#63225C2×D414yes—
599C4×Dic17—22no—
600C4×Dic17—22no—
601C4×Dic17—22no—
602C4×Dic17—22no—
603C4×Dic17—22no—
604C4×Dic17—22no—
605C4×Dic17—41no—
606C4×Dic17—41no—
607C4×Dic17—41no—
608C4×Dic17—41no—
609C4×Dic17—41no—
610C4×Dic17C2×D414yes—
611#34829—171nomaximal, Sylow
612C23×C17—21no—
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×C17C22×D412yes—
624C23×C17C2×#4112yes—
625C23×C17C2×#4112yes—
626C23×C17C2511yescharacteristic
627C22×D17—28no—
628C22×D17—21no—
629C22×D17—21no—
630C22×D17—21no—
631C22×D17—21no—
632C22×D17—21no—
633C22×D17—21no—
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—21no—
653C22×D17—44no—
654C22×D17—44no—
655C22×D17—44no—
656C22×D17—44no—
657C22×D17—44no—
658C22×D17—44no—
659C22×D17C22×D412yes—
660C22×D17C2×#4112yes—
661C22×D17C2×#4112yes—
662D4×C17—44no—
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—21no—
671C2×C4×C17—28no—
672C2×C4×C17—21no—
673C2×C4×C17—21no—
674C2×C4×C17—21no—
675C2×C4×C17—21no—
676C2×C4×C17—21no—
677C2×C4×C17—21no—
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—44no—
697C2×C4×C17—44no—
698C2×C4×C17—44no—
699C2×C4×C17C22×D412yes—
700C2×C4×C17C22×D412yes—
701C2×C4×C17C2×#4112yes—
702C2×C4×C17C2×#4112yes—
703C2×C4×C17C2×#4112yes—
704C2×C4×C17C2×#4112yes—
705C2×C4×C17H(5,𝔽2)12yes—
706C22⋊D17—28no—
707C22⋊D17—44no—
708C22⋊D17—44no—
709C22⋊D17—44no—
710C22⋊D17—44no—
711C22⋊D17—44no—
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—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—44no—
742C2×Dic17—44no—
743C2×Dic17—44no—
744C2×Dic17C22×D412yes—
745C2×Dic17C22×D412yes—
746C2×Dic17C22×D412yes—
747C2×Dic17C2×#4112yes—
748C2×Dic17C2×#4112yes—
749C2×Dic17C2×#4112yes—
750C2×Dic17C2×#4112yes—
751D68—44no—
752D68—44no—
753D68—44no—
754D68—44no—
755D68—44no—
756C4×D17—28no—
757C4×D17—28no—
758C4×D17—44no—
759C4×D17—44no—
760C4×D17—44no—
761C4×D17—44no—
762C4×D17—44no—
763C4×D17—44no—
764Dic34—44no—
765Dic34—44no—
766C2×#529—171no—
767C2×#525—171no—
768#2560—171no—
769#2559—171no—
770#2558—171no—
771#2557—171no—
772#2556—171no—
773#2555—171no—
774#2554—171no—
775#2553—171no—
776#2549—171no—
777#2543—171no—
778#2539—171no—
779#2534—171no—
780#2488—171no—
781#2472—171no—
782#2425—171no—
783#2424—171no—
784#2396—171no—
785#2395—171no—
786#2392—171no—
787#2388—171no—
788C4×#124—171no—
789C4×#123D1711yescharacteristic, complemented
790C4×#121—171no—
791C4×#121—171no—
792C4×#120—171no—
793#2297—171no—
794#2293—171no—
795C42×D4—171no—
796C2×C4×C22⋊C4—171no—
797C22×C17—22no—
798C22×C17—22no—
799C22×C17—22no—
800C22×C17—22no—
801C22×C17—22no—
802C22×C17—22no—
803C22×C17—41no—
804C22×C17—41no—
805C22×C17—41no—
806C22×C17—41no—
807C22×C17—41no—
808C22×C17—41no—
809C22×C17—41no—
810C22×C17#53214yes—
811C22×C17C23×D411yescharacteristic
812C22×C17C22×#4111yescharacteristic
813C22×C17C22×#4111yescharacteristic
814C22×C17C22×#4111yescharacteristic
815C22×C17C22×#4111yescharacteristic
816C22×C17C2×H(5,𝔽2)11yescharacteristic
817C22×C17#58511yescharacteristic
818C2×D17—22no—
819C2×D17—22no—
820C2×D17—22no—
821C2×D17—22no—
822C2×D17—22no—
823C2×D17—22no—
824C2×D17—22no—
825C2×D17—22no—
826C2×D17—22no—
827C2×D17—416no—
828C2×D17—41no—
829C2×D17—41no—
830C2×D17—41no—
831C2×D17—41no—
832C2×D17—41no—
833C2×D17—41no—
834C2×D17—41no—
835C2×D17—41no—
836C2×D17—41no—
837C2×D17—41no—
838C2×D17—41no—
839C2×D17—41no—
840C2×D17—41no—
841C2×D17—41no—
842C2×D17—41no—
843C2×D17—41no—
844C2×D17—41no—
845C2×D17—41no—
846C2×D17—41no—
847C4×C17—22no—
848C4×C17—22no—
849C4×C17—22no—
850C4×C17—22no—
851C4×C17—41no—
852C4×C17—41no—
853C4×C17—41no—
854C4×C17—41no—
855C4×C17—41no—
856C4×C17—41no—
857C4×C17—41no—
858C4×C17—41no—
859C4×C17#54614yes—
860Dic17—22no—
861Dic17—22no—
862Dic17—22no—
863Dic17—22no—
864Dic17—22no—
865Dic17—22no—
866Dic17—22no—
867Dic17—41no—
868Dic17—41no—
869Dic17—41no—
870Dic17—41no—
871Dic17—41no—
872C22×#41—171no—
873C24×C4—171no—
874#529—348no—
875C2×#126—171no—
876C2×#126—171no—
877C2×#125—171no—
878C2×#124—171no—
879C2×#124—171no—
880#525—348no—
881C2×#123—171no—
882C2×#123—171no—
883C2×#123—171no—
884C2×#123—171no—
885C2×#123C2×D1711yescharacteristic
886C2×C22⋊Q8—171no—
887C2×C22⋊Q8—171no—
888C2×C22⋊Q8—171no—
889C2×#121—171no—
890C2×#121—171no—
891C2×#121—171no—
892C2×#121—171no—
893C2×#121—171no—
894C2×#120—171no—
895C2×#120—171no—
896C2×#120—171no—
897C2×C4×Q8—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×D4C2×D1711yescharacteristic
909C2×#117—171no—
910C2×#117—171no—
911C2×#117—171no—
912C22×C22⋊C4—171no—
913C22×C22⋊C4—171no—
914C22×C42—171no—
915C22×C42—171no—
916C22×C42C2×D1711yescharacteristic
917#400—171no—
918#400—171no—
919#399—171no—
920#399—171no—
921#398—171no—
922#398—171no—
923#398—171no—
924#398—171no—
925#397—171no—
926#397—171no—
927#397—171no—
928#397—171no—
929#396—171no—
930#396—171no—
931#396—171no—
932#396—171no—
933#395—171no—
934#395—171no—
935#394—171no—
936#394—171no—
937#394—171no—
938#394—171no—
939#394—171no—
940#394—171no—
941#394—171no—
942#394—171no—
943#393—171no—
944#393—171no—
945#392—171no—
946#392—171no—
947#392—171no—
948#392—171no—
949#391—171no—
950#391—171no—
951#391—171no—
952#390—171no—
953#390—171no—
954#390—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#388—171no—
974#388—171no—
975#388C2×D1711yescharacteristic, complemented
976#388C2×D1711yescharacteristic, complemented
977#387C2×D1711yescharacteristic, complemented
978#387C2×D1711yescharacteristic, complemented
979#386—171no—
980#386—171no—
981#386—171no—
982#386—171no—
983#386—171no—
984#386—171no—
985#386—171no—
986#386—171no—
987#386—171no—
988#386—171no—
989#386—171no—
990#386C2×D1711yescharacteristic
991#385—171no—
992#385—171no—
993#385—171no—
994#385C2×D1711yescharacteristic
995#382—171no—
996#381C2×D1711yescharacteristic
997#380—171no—
998#380—171no—
999#379—171no—
1000C4×C4⋊C4—171no—
1001C4×C4⋊C4—171no—
1002C4×C4⋊C4—171no—
1003C4×C4⋊C4—171no—
1004C4×C4⋊C4C2×D1711yescharacteristic, complemented
1005C4×C4⋊C4C2×D1711yescharacteristic, complemented
1006C4×C22⋊C4—171no—
1007C4×C22⋊C4—171no—
1008C4×C22⋊C4—171no—
1009C4×C22⋊C4—171no—
1010C4×C22⋊C4—171no—
1011C4×C22⋊C4—171no—
1012C4×C22⋊C4—171no—
1013C4×C22⋊C4—171no—
1014C4×C22⋊C4—171no—
1015C4×C22⋊C4—171no—
1016C4×C22⋊C4—171no—
1017C4×C22⋊C4—171no—
1018C4×C22⋊C4—171no—
1019C4×C22⋊C4—171no—
1020C4×C22⋊C4—171no—
1021C4×C22⋊C4—171no—
1022C4×C22⋊C4—171no—
1023C4×C22⋊C4C2×D1711yescharacteristic
1024C4×C22⋊C4C2×D1711yescharacteristic, complemented
1025C4×C22⋊C4C2×D1711yescharacteristic, complemented
1026C2×#95—171no—
1027C2×#95—171no—
1028C43—171no—
1029C2×C17—24no—
1030C2×C17—81no—
1031C2×C17C2×#53211yescharacteristic
1032C2×C17#344411yescharacteristic
1033C2×C17#345911yescharacteristic
1034C2×C17C2×#54611yescharacteristic
1035C2×C17D4×#4111yescharacteristic
1036C2×C17#347511yescharacteristic
1037C2×C17#348111yescharacteristic
1038D17—42no—
1039D17—42no—
1040D17—42no—
1041D17—81no—
1042C25—171no—
1043C2×#41—344no—
1044C2×#41—344no—
1045C2×#41—682no—
1046C22×Q8—171no—
1047C22×Q8—171no—
1048C22×D4—171no—
1049C22×D4—171no—
1050C22×D4—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×D4C22×D1711yescharacteristic
1060C23×C4—171no—
1061C23×C4—171no—
1062C23×C4—171no—
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—344no—
1072C23×C4—344no—
1073C23×C4—682no—
1074C23×C4C22×D1711yescharacteristic
1075C23×C4C22×D1711yescharacteristic
1076C23×C4C22×D1711yescharacteristic
1077C23×C4C22×D1711yescharacteristic
1078#126—344no—
1079#126—344no—
1080#125—344no—
1081#124—344no—
1082#124—344no—
1083#123—24no—
1084#123—344no—
1085#123—344no—
1086#123—344no—
1087#123—344no—
1088C22⋊Q8—344no—
1089C22⋊Q8—344no—
1090C22⋊Q8—344no—
1091#121—344no—
1092#121—344no—
1093#121—344no—
1094#121—344no—
1095#121—344no—
1096#120—344no—
1097#120—344no—
1098#120—344no—
1099C4×Q8—344no—
1100C4×D4—24no—
1101C4×D4—178no—
1102C4×D4—344no—
1103C4×D4—344no—
1104C4×D4—344no—
1105C4×D4—344no—
1106C4×D4—344no—
1107C4×D4—344no—
1108C4×D4—344no—
1109C4×D4—682no—
1110C4×D4—682no—
1111#117—344no—
1112#117—344no—
1113#117—344no—
1114C2×C4⋊C4—171no—
1115C2×C4⋊C4—171no—
1116C2×C4⋊C4—171no—
1117C2×C4⋊C4—171no—
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⋊C4C22×D1711yescharacteristic
1136C2×C4⋊C4C22×D1711yescharacteristic
1137C2×C4⋊C4C22×D1711yescharacteristic
1138C2×C4⋊C4C22×D1711yescharacteristic
1139C2×C4⋊C4C22×D1711yescharacteristic
1140C2×C22⋊C4—171no—
1141C2×C22⋊C4—171no—
1142C2×C22⋊C4—171no—
1143C2×C22⋊C4—171no—
1144C2×C22⋊C4—171no—
1145C2×C22⋊C4—171no—
1146C2×C22⋊C4—171no—
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—344no—
1181C2×C22⋊C4—344no—
1182C2×C22⋊C4C22×D1711yescharacteristic
1183C2×C22⋊C4C22×D1711yescharacteristic
1184C2×C22⋊C4C22×D1711yescharacteristic
1185C2×C22⋊C4C22×D1711yescharacteristic
1186C2×C22⋊C4C22×D1711yescharacteristic
1187C2×C22⋊C4C22×D1711yescharacteristic
1188C2×C22⋊C4C22×D1711yescharacteristic
1189C2×C22⋊C4C22×D1711yescharacteristic
1190C2×C42—24no—
1191C2×C42—171no—
1192C2×C42—171no—
1193C2×C42—171no—
1194C2×C42—171no—
1195C2×C42—171no—
1196C2×C42—171no—
1197C2×C42—171no—
1198C2×C42—171no—
1199C2×C42—171no—
1200C2×C42—171no—
1201C2×C42—171no—
1202C2×C42—171no—
1203C2×C42—682no—
1204C2×C42—682no—
1205C2×C42C22×D1711yescharacteristic
1206C2×C42C22×D1711yescharacteristic
1207C2×C42C22×D1711yescharacteristic
1208C2×C42C22×D1711yescharacteristic
1209C2×C42C22×D1711yescharacteristic
1210C2×C42C22×D1711yescharacteristic
1211C2×C42C22×D1711yescharacteristic
1212#95—171no—
1213#95—171no—
1214#95—171no—
1215#95—171no—
1216#95—171no—
1217#95—171no—
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#95C22×D1711yescharacteristic
1235#95C22×D1711yescharacteristic
1236#95C22×D1711yescharacteristic
1237#95C22×D1711yescharacteristic
1238#95C22×D1711yescharacteristic
1239#95C22×D1711yescharacteristic
1240#95C22×D1711yescharacteristic
1241#95C22×D1711yescharacteristic
1242#95C22×D1711yescharacteristic
1243#95C22×D1711yescharacteristic
1244C17#3482911yescharacteristic, complemented, Sylow
1245C24—171no—
1246C24—171no—
1247C24—171no—
1248C24—171no—
1249C24—342no—
1250C24—342no—
1251C24—342no—
1252C24—342no—
1253C24—342no—
1254C24—681no—
1255C24—681no—
1256C24C23×D1711yescharacteristic
1257C24C23×D1711yescharacteristic
1258#41—6816no—
1259C2×Q8—342no—
1260C2×Q8—342no—
1261C2×Q8—342no—
1262C2×Q8—342no—
1263C2×Q8—681no—
1264C2×Q8—681no—
1265C2×D4—22no—
1266C2×D4—22no—
1267C2×D4—22no—
1268C2×D4—174no—
1269C2×D4—342no—
1270C2×D4—342no—
1271C2×D4—342no—
1272C2×D4—342no—
1273C2×D4—342no—
1274C2×D4—342no—
1275C2×D4—342no—
1276C2×D4—342no—
1277C2×D4—342no—
1278C2×D4—342no—
1279C2×D4—342no—
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—681no—
1292C2×D4—681no—
1293C2×D4—681no—
1294C2×D4—681no—
1295C2×D4—681no—
1296C2×D4—681no—
1297C2×D4—681no—
1298C2×D4—681no—
1299C2×D4—681no—
1300C2×D4—681no—
1301C22×C4—22no—
1302C22×C4—22no—
1303C22×C4—22no—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—22no—
1311C22×C4—41no—
1312C22×C4—171no—
1313C22×C4—171no—
1314C22×C4—171no—
1315C22×C4—171no—
1316C22×C4—171no—
1317C22×C4—171no—
1318C22×C4—171no—
1319C22×C4—174no—
1320C22×C4—174no—
1321C22×C4—174no—
1322C22×C4—171no—
1323C22×C4—171no—
1324C22×C4—171no—
1325C22×C4—171no—
1326C22×C4—171no—
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—681no—
1349C22×C4—681no—
1350C22×C4—681no—
1351C22×C4—681no—
1352C22×C4—681no—
1353C22×C4—6816no—
1354C22×C4—681no—
1355C22×C4—681no—
1356C22×C4—681no—
1357C22×C4—681no—
1358C22×C4D4×D1714yes—
1359C22×C4C23×D1711yescharacteristic
1360C22×C4C23×D1711yescharacteristic
1361C22×C4C23×D1711yescharacteristic
1362C22×C4C23×D1711yescharacteristic
1363C22×C4C23×D1711yescharacteristic
1364C22×C4C23×D1711yescharacteristic
1365C22×C4C23×D1711yescharacteristic
1366C22×C4C23×D1711yescharacteristic
1367C22×C4C23×D1711yescharacteristic
1368C22×C4C23×D1711yescharacteristic
1369C22×C4C23×D1711yescharacteristic
1370C22×C4C23×D1711yescharacteristic
1371C22×C4C23×D1711yescharacteristic
1372C4⋊C4—22no—
1373C4⋊C4—22no—
1374C4⋊C4—22no—
1375C4⋊C4—22no—
1376C4⋊C4—41no—
1377C4⋊C4—174no—
1378C4⋊C4—342no—
1379C4⋊C4—342no—
1380C4⋊C4—342no—
1381C4⋊C4—342no—
1382C4⋊C4—342no—
1383C4⋊C4—342no—
1384C4⋊C4—342no—
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—681no—
1396C4⋊C4—681no—
1397C4⋊C4—681no—
1398C22⋊C4—22no—
1399C22⋊C4—22no—
1400C22⋊C4—22no—
1401C22⋊C4—22no—
1402C22⋊C4—22no—
1403C22⋊C4—22no—
1404C22⋊C4—41no—
1405C22⋊C4—174no—
1406C22⋊C4—174no—
1407C22⋊C4—174no—
1408C22⋊C4—342no—
1409C22⋊C4—342no—
1410C22⋊C4—342no—
1411C22⋊C4—342no—
1412C22⋊C4—342no—
1413C22⋊C4—342no—
1414C22⋊C4—342no—
1415C22⋊C4—342no—
1416C22⋊C4—342no—
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—681no—
1441C22⋊C4—681no—
1442C22⋊C4—681no—
1443C22⋊C4—681no—
1444C22⋊C4—681no—
1445C22⋊C4#6325214yescomplemented
1446C42—22no—
1447C42—22no—
1448C42—22no—
1449C42—22no—
1450C42—22no—
1451C42—22no—
1452C42—22no—
1453C42—174no—
1454C42—342no—
1455C42—342no—
1456C42—342no—
1457C42—342no—
1458C42—342no—
1459C42—342no—
1460C42—681no—
1461C42—681no—
1462C42—681no—
1463C42—681no—
1464C42—681no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—172no—
1477C23—172no—
1478C23—172no—
1479C23—348no—
1480C23—341no—
1481C23—341no—
1482C23—341no—
1483C23—341no—
1484C23—341no—
1485C23—341no—
1486C23—341no—
1487C23—341no—
1488C23—341no—
1489C23—341no—
1490C23—341no—
1491C23—341no—
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—684no—
1506C23—684no—
1507C23—684no—
1508C23—684no—
1509C23—684no—
1510C23—684no—
1511C23C2×#6325212yes—
1512C23C2×D4×D1712yes—
1513C23#41×D1712yes—
1514C23C24×D1711yescharacteristic
1515Q8—684no—
1516Q8—684no—
1517D4—44no—
1518D4—348no—
1519D4—684no—
1520D4—684no—
1521D4—684no—
1522D4—684no—
1523D4—684no—
1524D4—684no—
1525D4—684no—
1526D4—684no—
1527D4—684no—
1528D4—684no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—28no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
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—44no—
1563C2×C4—44no—
1564C2×C4—44no—
1565C2×C4—172no—
1566C2×C4—172no—
1567C2×C4—172no—
1568C2×C4—172no—
1569C2×C4—172no—
1570C2×C4—172no—
1571C2×C4—172no—
1572C2×C4—341no—
1573C2×C4—341no—
1574C2×C4—341no—
1575C2×C4—341no—
1576C2×C4—341no—
1577C2×C4—341no—
1578C2×C4—341no—
1579C2×C4—341no—
1580C2×C4—341no—
1581C2×C4—341no—
1582C2×C4—341no—
1583C2×C4—341no—
1584C2×C4—341no—
1585C2×C4—341no—
1586C2×C4—348no—
1587C2×C4—348no—
1588C2×C4—341no—
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—684no—
1604C2×C4—684no—
1605C2×C4—684no—
1606C2×C4—684no—
1607C2×C4—684no—
1608C2×C4—684no—
1609C2×C4—684no—
1610C2×C4—684no—
1611C2×C4—684no—
1612C2×C4C2×#6325212yes—
1613C2×C4C2×#6325212yes—
1614C2×C4C2×D4×D1712yes—
1615C2×C4C2×D4×D1712yes—
1616C2×C4#41×D1712yes—
1617C2×C4#41×D1712yes—
1618C2×C4#1058769612yes—
1619C22—22no—
1620C22—22no—
1621C22—22no—
1622C22—22no—
1623C22—22no—
1624C22—22no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—342no—
1633C22—342no—
1634C22—342no—
1635C22—342no—
1636C22—342no—
1637C22—342no—
1638C22—342no—
1639C22—342no—
1640C22—342no—
1641C22—6816no—
1642C22—681no—
1643C22—681no—
1644C22—681no—
1645C22—681no—
1646C22—681no—
1647C22—681no—
1648C22—681no—
1649C22—681no—
1650C22—681no—
1651C22—681no—
1652C22—681no—
1653C22—681no—
1654C22—681no—
1655C22—681no—
1656C22—681no—
1657C22—681no—
1658C22—681no—
1659C22—681no—
1660C22—681no—
1661C22#1176335614yes—
1662C22C22×D4×D1711yescharacteristic
1663C22C2×#41×D1711yescharacteristic
1664C22C2×#41×D1711yescharacteristic
1665C22C2×#41×D1711yescharacteristic
1666C22C22×#6325211yescharacteristic
1667C22C2×#1058769611yescharacteristic
1668C22#1176364511yescharacteristic
1669C4—22no—
1670C4—22no—
1671C4—22no—
1672C4—22no—
1673C4—41no—
1674C4—41no—
1675C4—41no—
1676C4—41no—
1677C4—41no—
1678C4—41no—
1679C4—41no—
1680C4—41no—
1681C4—342no—
1682C4—342no—
1683C4—342no—
1684C4—342no—
1685C4—342no—
1686C4—342no—
1687C4—342no—
1688C4—681no—
1689C4—681no—
1690C4—681no—
1691C4—681no—
1692C4—681no—
1693C4#1176345114yes—
1694C2—24no—
1695C2—81no—
1696C2—682no—
1697C2—682no—
1698C2—682no—
1699C2—1361no—
1700C2C2×#1176335611yescharacteristic
1701C2#1454207811yescharacteristic
1702C2#1454219411yescharacteristic
1703C2C2×#1176345111yescharacteristic
1704C2#1454226711yescharacteristic
1705C2#1454234611yescharacteristic
1706C2#1454239411yescharacteristic
subgroupG/H
centerC22×C4C23×D17
commutator, socle, cosocleC23×C17C25
FrattiniC23C24×D17
FittingC4×C17×#123C2
hypercenterC4×#123D17
hypocenterC17#34829
LCSG ▷ C23×C17 ▷ C17
UCSC1 ◁ C22×C4 ◁ C4×#123

Complements

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

NH ≅ G/Ntype
1. C2×#11763343C2semidirect
2. C2×#11763318C2semidirect
3. #14533934C2semidirect
4. #14533919C2semidirect
5. #14533904C2semidirect
6. #14533889C2semidirect
7. #14533872C2semidirect
8. #14533860C2semidirect
9. #14533850C2semidirect
10. #14533835C2semidirect
11. #14533797C2semidirect
12. #14533748C2semidirect
13. #14533714C2semidirect
14. #14533679C2semidirect
15. #14533106C2semidirect
16. #14532915C2semidirect
17. #14532331C2semidirect
18. #14532318C2semidirect
19. #14532060C2semidirect
20. #14532047C2semidirect
21. #14532028C2semidirect
22. #14532000C2semidirect
23. C4×#10587571C2semidirect
24. C4×#10587581C2semidirect
25. C4×#10587625C2semidirect
26. C4×#10587568C2semidirect
27. #14531270C2semidirect
28. #14531245C2semidirect
29. C4×#10587567C2semidirect
30. C2×C4×#63227C2semidirect
31. C4×C17×#123C2semidirect
35. C2×#10587562C22semidirect
36. C2×#10587562C22semidirect
37. C2×#10587556C22semidirect
38. C2×#10587561C22semidirect
56. C2×C4×Dic34C22semidirect
60. C2×C4×D68C22semidirect
64. C2×C4×C22⋊D17C22semidirect
68. C2×#10587558C22semidirect
69. C2×#10587558C22semidirect
73. C2×C42×D17C22semidirect
74. #11762751C22semidirect
75. #11762750C22semidirect
78. #11762743C22semidirect
79. #11762743C22semidirect
80. #11762742C22semidirect
81. #11762740C22semidirect
83. #11762738C22semidirect
84. #11762738C22semidirect
85. #11762735C22semidirect
88. #11762732C22semidirect
90. #11762730C22semidirect
91. #11762729C22semidirect
97. #11762725C22semidirect
99. #11762724C22semidirect
101. #11762722C22semidirect
105. #11762718C22semidirect
106. #11762713C22semidirect
107. #11762713C22semidirect
108. #11762713C22semidirect
115. #11762709C22semidirect
116. #11762708C22semidirect
117. #11762705C22semidirect
118. #11762705C22semidirect
119. #11762704C22semidirect
120. #11762703C22semidirect
121. #11762702C22semidirect
124. #11762701C22semidirect
125. #11762699C22semidirect
129. #11762698C22semidirect
130. #11762698C22semidirect
131. #11762697C22semidirect
138. #11762687C22semidirect
141. #11762685C22semidirect
142. #11762685C22semidirect
146. #11762673C22semidirect
148. #11762666C22semidirect
150. C4×#63225C22semidirect
151. C4×#63225C22semidirect
152. #11762660C22semidirect
153. #11762660C22semidirect
166. C4×#63227C22semidirect
167. C4×#63227C22semidirect
168. C4×C22⋊Dic17C22semidirect
169. #11762656C22semidirect
170. #11762656C22semidirect
173. C42×Dic17C22semidirect
177. C17×#388C22semidirect
178. C17×#388C22semidirect
179. C17×#387C22semidirect
180. C17×#387C22semidirect
184. C4×C4⋊C4×C17C22semidirect
185. C4×C4⋊C4×C17C22semidirect
187. C4×C22⋊C4×C17C22semidirect
188. C4×C22⋊C4×C17C22semidirect
263. C4×C22⋊D17D4semidirect
458. C22×Dic17#41semidirect
530. C22⋊C4×C17#41semidirect
577. #63227#41semidirect
789. C4×#123D17semidirect
975. #388C2×D17semidirect
976. #388C2×D17semidirect
977. #387C2×D17semidirect
978. #387C2×D17semidirect
1004. C4×C4⋊C4C2×D17semidirect
1005. C4×C4⋊C4C2×D17semidirect
1024. C4×C22⋊C4C2×D17semidirect
1025. C4×C22⋊C4C2×D17semidirect
1244. C17#34829semidirect
1445. C22⋊C4#63252semidirect

Maximal subgroups

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

subgroupindex
C2×#117633432
C2×#117633182
#145339342
#145339192
#145339042
#145338892
#145338722
#145338602
#145338502
#145338352
#145337972
#145337482
#145337142
#145336792
#145331062
#145329152
#145323312
#145323182
#145320602
#145320472
#145320282
#145320002
C4×#105875712
C4×#105875812
C4×#105876252
C4×#105875682
#145312702
#145312452
C4×#105875672
C2×C4×#632272
C4×C17×#1232
#3482917