Finite Group Databasebeta

← #17241403

Subgroups — #17241403

Order 4352.

2644 conjugacy classes of subgroups.

The subgroup lattice has 1818 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11763392C211yesmaximal, characteristic, complemented
2#14537076C211yesmaximal, characteristic, complemented
3#14537066C211yesmaximal, characteristic, complemented
4#14535453C211yesmaximal, characteristic, complemented
5#14535408C211yesmaximal, characteristic, complemented
6#14535378C211yesmaximal, characteristic, complemented
7#14535367C211yesmaximal, characteristic, complemented
8#14535199C211yesmaximal, characteristic, complemented
9#14535149C211yesmaximal, characteristic, complemented
10#14535139C211yesmaximal, characteristic, complemented
11#14535132C211yesmaximal, characteristic, complemented
12#14535118C211yesmaximal, characteristic, complemented
13#14535112C211yesmaximal, characteristic, complemented
14#14535109C211yesmaximal, characteristic, complemented
15#14535103C211yesmaximal, characteristic, complemented
16#14535029C211yesmaximal, characteristic, complemented
17#14535006C211yesmaximal, characteristic, complemented
18#14534998C211yesmaximal, characteristic, complemented
19#14534996C211yesmaximal, characteristic, complemented
20#14534668C211yesmaximal, characteristic, complemented
21#14534621C211yesmaximal, characteristic, complemented
22#14534471C211yesmaximal, characteristic, complemented
23#14534405C211yesmaximal, characteristic, complemented
24#14534381C211yesmaximal, characteristic, complemented
25#14534366C211yesmaximal, characteristic, complemented
26#14533751C211yesmaximal, characteristic, complemented
27#14533670C211yesmaximal, characteristic, complemented
28#14532123C211yesmaximal, characteristic, complemented
29#14532099C211yesmaximal, characteristic, complemented
30#14531427C211yesmaximal, characteristic, complemented
31C2×C17×#525C211yesmaximal, characteristic, complemented
32#11763392—28no—
33C2×#10587626C2211yescharacteristic
34C2×#10587584C2211yescharacteristic, complemented
35C2×#10587562C2211yescharacteristic, complemented
36C2×#10587561C2211yescharacteristic, complemented
37C2×#10587622C2211yescharacteristic, complemented
38C2×#10587571C2211yescharacteristic
39C2×#10587580C2211yescharacteristic, complemented
40C2×#10587615C2211yescharacteristic
41C2×#10587615C2211yescharacteristic
42C2×#10587621C2211yescharacteristic
43C2×#10587564C2211yescharacteristic, complemented
44C2×#10587632C2211yescharacteristic, complemented
45C2×#10587616C2211yescharacteristic
46C2×#10587616C2211yescharacteristic
47C2×#10587616C2211yescharacteristic
48C2×#10587570C2211yescharacteristic
49C2×#10587625C2211yescharacteristic
50C2×#10587624C2211yescharacteristic, complemented
51C2×#10587568C2211yescharacteristic, complemented
52C2×#10587639C2211yescharacteristic
53C2×#10587639C2211yescharacteristic
54C2×#10587639C2211yescharacteristic, complemented
55C2×#10587623C2211yescharacteristic
56C2×#10587623C2211yescharacteristic
57C2×#10587623C2211yescharacteristic
58C2×#10587623C2211yescharacteristic, complemented
59C2×C4×C22⋊D17C2211yescharacteristic, complemented
60C22×#63227C2211yescharacteristic, complemented
61#11762748C2211yescharacteristic, complemented
62#11762745C2211yescharacteristic, complemented
63#11762742C2211yescharacteristic, complemented
64#11762742C2211yescharacteristic, complemented
65#11762740C2211yescharacteristic, complemented
66#11762737C2211yescharacteristic, complemented
67#11762737C2211yescharacteristic, complemented
68#11762735C2211yescharacteristic, complemented
69#11762732C2211yescharacteristic, complemented
70#11762732C2211yescharacteristic, complemented
71#11762731C2211yescharacteristic, complemented
72#11762731C2211yescharacteristic, complemented
73#11762731C2211yescharacteristic, complemented
74#11762731C2211yescharacteristic, complemented
75#11762729C2211yescharacteristic, complemented
76#11762726C2211yescharacteristic, complemented
77#11762726C2211yescharacteristic, complemented
78#11762725C2211yescharacteristic
79#11762725C2211yescharacteristic
80#11762725C2211yescharacteristic
81#11762725C2211yescharacteristic
82#11762725C2211yescharacteristic, complemented
83#11762725C2211yescharacteristic, complemented
84#11762725C2211yescharacteristic, complemented
85#11762725C2211yescharacteristic, complemented
86#11762724C2211yescharacteristic
87#11762724C2211yescharacteristic
88#11762724C2211yescharacteristic, complemented
89#11762724C2211yescharacteristic, complemented
90#11762723C2211yescharacteristic
91#11762723C2211yescharacteristic
92#11762723C2211yescharacteristic, complemented
93#11762723C2211yescharacteristic, complemented
94#11762723C2211yescharacteristic, complemented
95#11762721C2211yescharacteristic, complemented
96#11762720C2211yescharacteristic, complemented
97#11762720C2211yescharacteristic, complemented
98#11762718C2211yescharacteristic
99#11762718C2211yescharacteristic, complemented
100#11762717C2211yescharacteristic
101#11762717C2211yescharacteristic
102#11762717C2211yescharacteristic
103#11762717C2211yescharacteristic
104#11762717C2211yescharacteristic
105#11762717C2211yescharacteristic
106#11762717C2211yescharacteristic
107#11762717C2211yescharacteristic, complemented
108#11762717C2211yescharacteristic, complemented
109#11762716C2211yescharacteristic, complemented
110#11762714C2211yescharacteristic, complemented
111#11762712C2211yescharacteristic
112#11762712C2211yescharacteristic
113#11762712C2211yescharacteristic, complemented
114#11762710C2211yescharacteristic, complemented
115#11762709C2211yescharacteristic
116#11762709C2211yescharacteristic
117#11762709C2211yescharacteristic
118#11762709C2211yescharacteristic, complemented
119#11762709C2211yescharacteristic, complemented
120#11762708C2211yescharacteristic, complemented
121#11762708C2211yescharacteristic, complemented
122#11762704C2211yescharacteristic, complemented
123#11762703C2211yescharacteristic, complemented
124#11762703C2211yescharacteristic, complemented
125#11762703C2211yescharacteristic, complemented
126#11762702C2211yescharacteristic, complemented
127#11762702C2211yescharacteristic, complemented
128#11762702C2211yescharacteristic, complemented
129#11762702C2211yescharacteristic, complemented
130#11762700C2211yescharacteristic, complemented
131#11762700C2211yescharacteristic, complemented
132#11762700C2211yescharacteristic, complemented
133#11762699C2211yescharacteristic, complemented
134#11762699C2211yescharacteristic, complemented
135#11762699C2211yescharacteristic, complemented
136#11762697C2211yescharacteristic, complemented
137#11762693C2211yescharacteristic, complemented
138#11762690C2211yescharacteristic, complemented
139#11762689C2211yescharacteristic
140#11762689C2211yescharacteristic, complemented
141#11762688C2211yescharacteristic
142#11762688C2211yescharacteristic
143#11762688C2211yescharacteristic
144#11762688C2211yescharacteristic
145#11762688C2211yescharacteristic
146#11762688C2211yescharacteristic
147#11762688C2211yescharacteristic
148#11762688C2211yescharacteristic, complemented
149#11762688C2211yescharacteristic, complemented
150#11762688C2211yescharacteristic, complemented
151#11762688C2211yescharacteristic, complemented
152#11762688C2211yescharacteristic, complemented
153#11762688C2211yescharacteristic, complemented
154#11762685C2211yescharacteristic, complemented
155#11762682C2211yescharacteristic, complemented
156#11762682C2211yescharacteristic, complemented
157#11762682C2211yescharacteristic, complemented
158#11762682C2211yescharacteristic, complemented
159#11762682C2211yescharacteristic, complemented
160#11762680C2211yescharacteristic, complemented
161#11762672C2211yescharacteristic, complemented
162#11762672C2211yescharacteristic, complemented
163#11762672C2211yescharacteristic, complemented
164#11762670C2211yescharacteristic, complemented
165#11762669C2211yescharacteristic, complemented
166#11762669C2211yescharacteristic, complemented
167#11762669C2211yescharacteristic, complemented
168#11762669C2211yescharacteristic, complemented
169#11762665C2211yescharacteristic, complemented
170#11762664C2211yescharacteristic, complemented
171C4×C4⋊Dic17C2211yescharacteristic, complemented
172#11762655C2211yescharacteristic, complemented
173C22×#41×C17C2211yescharacteristic
174C24×C4×C17C2211yescharacteristic, complemented
175C17×#525—28no—
176C2×C17×#123C2211yescharacteristic
177C2×C17×#123C2211yescharacteristic, complemented
178C2×C17×C22⋊Q8C2211yescharacteristic, complemented
179C2×C17×C22⋊Q8C2211yescharacteristic, complemented
180C2×C17×#121C2211yescharacteristic
181C2×C17×#121C2211yescharacteristic
182C2×C17×#120C2211yescharacteristic
183C2×C17×#120C2211yescharacteristic, complemented
184C2×C4×D4×C17C2211yescharacteristic
185C2×C4×D4×C17C2211yescharacteristic
186C2×C4×D4×C17C2211yescharacteristic, complemented
187C2×C4×D4×C17C2211yescharacteristic, complemented
188C2×C17×#117C2211yescharacteristic, complemented
189C25×C17C2311yescharacteristic
190C24×D17C2311yescharacteristic
191C2×#41×C17—24no—
192C2×#41×C17—42no—
193C2×#41×C17—42no—
194C22×Q8×C17C2311yescharacteristic
195C22×D4×C17C2311yescharacteristic
196C22×D4×C17C2311yescharacteristic
197C22×D4×C17C2311yescharacteristic
198C22×D4×C17C2311yescharacteristic
199C22×D4×C17C2311yescharacteristic
200C22×D4×C17C2311yescharacteristic
201C22×D4×C17C2311yescharacteristic
202C23×C4×C17—24no—
203C23×C4×C17—42no—
204C23×C4×C17—42no—
205C23×C4×C17C2311yescharacteristic
206C23×C4×C17C2311yescharacteristic
207C23×C4×C17C2311yescharacteristic
208C23×C4×C17C2311yescharacteristic
209C23×C4×C17C2311yescharacteristic
210C23×C4×C17C2311yescharacteristic
211C23×C4×C17C2311yescharacteristic
212C23×C4×C17C2311yescharacteristic
213C22×C22⋊D17C2311yescharacteristic
214C22×C22⋊D17C2311yescharacteristic
215C22×C22⋊D17C2311yescharacteristic
216C22×C22⋊D17C2311yescharacteristic
217C22×C22⋊D17C2311yescharacteristic
218C22×C22⋊D17C2311yescharacteristic
219C22×C22⋊D17C2311yescharacteristic
220C22×C22⋊D17C2311yescharacteristic
221C22×C22⋊D17C2311yescharacteristic
222C22×C22⋊D17C2311yescharacteristic
223C22×C22⋊D17C2311yescharacteristic
224C22×C22⋊D17C2311yescharacteristic
225C22×C22⋊D17C2311yescharacteristic
226C23×Dic17C2311yescharacteristic
227C22×D68C2311yescharacteristic
228C22×D68C2311yescharacteristic
229C22×C4×D17C2311yescharacteristic
230C22×Dic34C2311yescharacteristic
231C17×#123—24no—
232C17×#123—24no—
233C17×C22⋊Q8—24no—
234C17×C22⋊Q8—24no—
235C17×#121—24no—
236C17×#121—24no—
237C17×#120—24no—
238C17×#120—24no—
239C4×D4×C17—24no—
240C4×D4×C17—24no—
241C4×D4×C17—24no—
242C4×D4×C17D418yescomplemented
243C17×#117—24no—
244C2×C4⋊C4×C17C2311yescharacteristic
245C2×C4⋊C4×C17C2311yescharacteristic
246C2×C4⋊C4×C17C2311yescharacteristic
247C2×C4⋊C4×C17C2311yescharacteristic
248C2×C4⋊C4×C17C2311yescharacteristic
249C2×C4⋊C4×C17C2311yescharacteristic
250C2×C22⋊C4×C17C2311yescharacteristic
251C2×C22⋊C4×C17C2311yescharacteristic
252C2×C22⋊C4×C17C2311yescharacteristic
253C2×C22⋊C4×C17C2311yescharacteristic
254C2×C22⋊C4×C17C2311yescharacteristic
255C2×C22⋊C4×C17C2311yescharacteristic
256C2×C22⋊C4×C17C2311yescharacteristic
257C2×C22⋊C4×C17C2311yescharacteristic
258C2×C22⋊C4×C17C2311yescharacteristic
259C2×C22⋊C4×C17C2311yescharacteristic
260C2×C42×C17C2311yescharacteristic
261C2×C42×C17C2311yescharacteristic
262#10587639—42no—
263#10587639—42no—
264#10587639—42no—
265C2×C22⋊Dic17C2311yescharacteristic
266C2×C22⋊Dic17C2311yescharacteristic
267C2×C22⋊Dic17C2311yescharacteristic
268C2×C22⋊Dic17C2311yescharacteristic
269C2×C22⋊Dic17C2311yescharacteristic
270C2×C22⋊Dic17C2311yescharacteristic
271C2×C22⋊Dic17C2311yescharacteristic
272C2×C22⋊Dic17C2311yescharacteristic
273C2×C22⋊Dic17C2311yescharacteristic
274C2×C22⋊Dic17C2311yescharacteristic
275C2×C22⋊Dic17C2311yescharacteristic
276C2×C22⋊Dic17C2311yescharacteristic
277C2×C22⋊Dic17C2311yescharacteristic
278C2×C22⋊Dic17C2311yescharacteristic
279C2×C22⋊Dic17C2311yescharacteristic
280C2×C22⋊Dic17C2311yescharacteristic
281C2×C22⋊Dic17C2311yescharacteristic
282C2×C22⋊Dic17C2311yescharacteristic
283C2×C22⋊Dic17C2311yescharacteristic
284C2×C22⋊Dic17C2311yescharacteristic
285C2×C22⋊Dic17C2311yescharacteristic
286C2×C22⋊Dic17C2311yescharacteristic
287C2×C22⋊Dic17C2311yescharacteristic
288C2×C22⋊Dic17C2311yescharacteristic
289C2×C22⋊Dic17C2311yescharacteristic
290#10587632—42no—
291#10587626—42no—
292#10587625—24no—
293#10587624—42no—
294#10587623—24no—
295#10587623—42no—
296#10587623—42no—
297#10587623—42no—
298#10587622—42no—
299#10587621—42no—
300#10587616—24no—
301#10587616—42no—
302#10587616—42no—
303#10587615—24no—
304#10587615—42no—
305C4×C22⋊D17—24no—
306C2×#63227—24no—
307C2×#63227C2311yescharacteristic
308C2×#63227C2311yescharacteristic
309C2×#63227C2311yescharacteristic
310C2×#63227C2311yescharacteristic
311C2×#63227C2311yescharacteristic
312C2×#63227C2311yescharacteristic
313C2×#63227C2311yescharacteristic
314C2×#63227C2311yescharacteristic
315C2×#63227C2311yescharacteristic
316C2×#63227C2311yescharacteristic
317C2×#63227C2311yescharacteristic
318C2×#63227C2311yescharacteristic
319C2×#63227C2311yescharacteristic
320C2×#63227C2311yescharacteristic
321C2×#63227C2311yescharacteristic
322C2×#63227C2311yescharacteristic
323C2×#63227C2311yescharacteristic
324C2×#63227C2311yescharacteristic
325C2×#63227C2311yescharacteristic
326C2×#63227C2311yescharacteristic
327C2×#63227C2311yescharacteristic
328C2×#63227C2311yescharacteristic
329C2×#63227C2311yescharacteristic
330C2×#63227C2311yescharacteristic
331C2×#63227C2311yescharacteristic
332C2×C4⋊Dic17C2311yescharacteristic
333C2×C4⋊Dic17C2311yescharacteristic
334C2×C4⋊Dic17C2311yescharacteristic
335C2×C4⋊Dic17C2311yescharacteristic
336C2×C4⋊Dic17C2311yescharacteristic
337C2×C4⋊Dic17C2311yescharacteristic
338C2×C4⋊Dic17C2311yescharacteristic
339C2×#63225C2311yescharacteristic
340C2×#63225C2311yescharacteristic
341C2×#63225C2311yescharacteristic
342C2×#63225C2311yescharacteristic
343C2×#63225C2311yescharacteristic
344C2×#63225C2311yescharacteristic
345C2×#63225C2311yescharacteristic
346C2×#63225C2311yescharacteristic
347C2×#63225C2311yescharacteristic
348C2×#63225C2311yescharacteristic
349C2×#63225C2311yescharacteristic
350C2×C4×Dic17C2311yescharacteristic
351C2×C4×Dic17C2311yescharacteristic
352C2×C4×Dic17C2311yescharacteristic
353C2×C4×Dic17C2311yescharacteristic
354C2×C4×Dic17C2311yescharacteristic
355#10587584—24no—
356#10587580—24no—
357#10587571—24no—
358#10587570—24no—
359#10587568—24no—
360#10587564—24no—
361#10587562—24no—
362#10587561—24no—
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
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×C17—22no—
392C24×C17—22no—
393C24×C17—22no—
394C24×C17—41no—
395C24×C17—41no—
396C24×C17—41no—
397C24×C17—41no—
398C24×C17C2411yescharacteristic
399C24×C17C2411yescharacteristic
400C24×C17C2411yescharacteristic
401C24×C17C2411yescharacteristic
402C24×C17C2411yescharacteristic
403C23×D17—22no—
404C23×D17—41no—
405C23×D17—41no—
406C23×D17—41no—
407C23×D17—41no—
408C23×D17—41no—
409C23×D17—41no—
410C23×D17C2411yescharacteristic
411C23×D17C2411yescharacteristic
412C23×D17C2411yescharacteristic
413#41×C17—416no—
414C2×Q8×C17—22no—
415C2×Q8×C17—22no—
416C2×Q8×C17—41no—
417C2×D4×C17—22no—
418C2×D4×C17—22no—
419C2×D4×C17—22no—
420C2×D4×C17—22no—
421C2×D4×C17—22no—
422C2×D4×C17—22no—
423C2×D4×C17—22no—
424C2×D4×C17—22no—
425C2×D4×C17—22no—
426C2×D4×C17—22no—
427C2×D4×C17—22no—
428C2×D4×C17—41no—
429C2×D4×C17—41no—
430C2×D4×C17—41no—
431C2×D4×C17—41no—
432C2×D4×C17—41no—
433C2×D4×C17—41no—
434C2×D4×C17—41no—
435C2×D4×C17—41no—
436C2×D4×C17—41no—
437C2×D4×C17C2×D414yes—
438C22×C4×C17—22no—
439C22×C4×C17—22no—
440C22×C4×C17—22no—
441C22×C4×C17—22no—
442C22×C4×C17—22no—
443C22×C4×C17—22no—
444C22×C4×C17—22no—
445C22×C4×C17—22no—
446C22×C4×C17—22no—
447C22×C4×C17—22no—
448C22×C4×C17—22no—
449C22×C4×C17—41no—
450C22×C4×C17—41no—
451C22×C4×C17—41no—
452C22×C4×C17—41no—
453C22×C4×C17—41no—
454C22×C4×C17—41no—
455C22×C4×C17—41no—
456C22×C4×C17—41no—
457C22×C4×C17—41no—
458C22×C4×C17—41no—
459C22×C4×C17—41no—
460C22×C4×C17—416no—
461C22×C4×C17C2×D414yes—
462C22×C4×C17C2×D414yes—
463C22×C4×C17C2411yescharacteristic
464C22×C4×C17C2411yescharacteristic
465C22×C4×C17C2411yescharacteristic
466C22×C4×C17C2411yescharacteristic
467C22×C4×C17C2411yescharacteristic
468C22×C4×C17C2411yescharacteristic
469C22×C4×C17C2411yescharacteristic
470C22×C4×C17C2411yescharacteristic
471C22×C4×C17C2411yescharacteristic
472C22×C4×C17C2411yescharacteristic
473C2×C22⋊D17—22no—
474C2×C22⋊D17—22no—
475C2×C22⋊D17—22no—
476C2×C22⋊D17—22no—
477C2×C22⋊D17—22no—
478C2×C22⋊D17—22no—
479C2×C22⋊D17—22no—
480C2×C22⋊D17—22no—
481C2×C22⋊D17—22no—
482C2×C22⋊D17—22no—
483C2×C22⋊D17—41no—
484C2×C22⋊D17—41no—
485C2×C22⋊D17—41no—
486C2×C22⋊D17—41no—
487C2×C22⋊D17—41no—
488C2×C22⋊D17—41no—
489C2×C22⋊D17—41no—
490C2×C22⋊D17—41no—
491C2×C22⋊D17—41no—
492C2×C22⋊D17—41no—
493C2×C22⋊D17—41no—
494C2×C22⋊D17—41no—
495C2×C22⋊D17—41no—
496C2×C22⋊D17—41no—
497C2×C22⋊D17—41no—
498C2×C22⋊D17—41no—
499C2×C22⋊D17—41no—
500C2×C22⋊D17—41no—
501C2×C22⋊D17—41no—
502C2×C22⋊D17—41no—
503C2×C22⋊D17—41no—
504C2×C22⋊D17—41no—
505C2×C22⋊D17—41no—
506C2×C22⋊D17—41no—
507C2×C22⋊D17—41no—
508C2×C22⋊D17—41no—
509C2×C22⋊D17—41no—
510C2×C22⋊D17—41no—
511C2×C22⋊D17—41no—
512C22×Dic17—22no—
513C22×Dic17—41no—
514C22×Dic17—41no—
515C22×Dic17C2411yescharacteristic
516C22×Dic17C2411yescharacteristic
517C22×Dic17C2411yescharacteristic
518C22×Dic17C2411yescharacteristic
519C22×Dic17C2411yescharacteristic
520C22×Dic17C2411yescharacteristic
521C22×Dic17C2411yescharacteristic
522C22×Dic17C2411yescharacteristic
523C22×Dic17C2411yescharacteristic
524C22×Dic17C2411yescharacteristic
525C22×Dic17C2411yescharacteristic
526C22×Dic17C2411yescharacteristic
527C22×Dic17C2411yescharacteristic
528C2×D68—22no—
529C2×D68—22no—
530C2×D68—41no—
531C2×D68—41no—
532C2×D68—41no—
533C2×D68—41no—
534C2×C4×D17—22no—
535C2×C4×D17—41no—
536C2×C4×D17—41no—
537C2×Dic34—22no—
538C2×Dic34—41no—
539C2×Dic34—41no—
540C4⋊C4×C17—22no—
541C4⋊C4×C17—22no—
542C4⋊C4×C17—22no—
543C4⋊C4×C17—22no—
544C4⋊C4×C17—22no—
545C4⋊C4×C17C2×D414yes—
546C22⋊C4×C17—22no—
547C22⋊C4×C17—22no—
548C22⋊C4×C17—22no—
549C22⋊C4×C17—22no—
550C22⋊C4×C17—22no—
551C22⋊C4×C17—22no—
552C22⋊C4×C17—22no—
553C22⋊C4×C17—22no—
554C22⋊C4×C17C2×D414yes—
555C22⋊C4×C17C2×D414yes—
556C42×C17—22no—
557C42×C17C2×D414yes—
558C22⋊Dic17—22no—
559C22⋊Dic17—22no—
560C22⋊Dic17—22no—
561C22⋊Dic17—22no—
562C22⋊Dic17—22no—
563C22⋊Dic17—22no—
564C22⋊Dic17—41no—
565C22⋊Dic17—41no—
566C22⋊Dic17—41no—
567C22⋊Dic17—41no—
568C22⋊Dic17—41no—
569C22⋊Dic17—41no—
570C22⋊Dic17—41no—
571C22⋊Dic17—41no—
572C22⋊Dic17—41no—
573C22⋊Dic17—41no—
574C22⋊Dic17—41no—
575C22⋊Dic17—41no—
576C22⋊Dic17—41no—
577C22⋊Dic17—41no—
578C22⋊Dic17—41no—
579C22⋊Dic17—41no—
580C22⋊Dic17—41no—
581C22⋊Dic17—41no—
582C22⋊Dic17—41no—
583#63227—22no—
584#63227—22no—
585#63227—22no—
586#63227—22no—
587#63227—22no—
588#63227—22no—
589#63227—22no—
590#63227—22no—
591#63227—22no—
592#63227—22no—
593#63227—22no—
594#63227—22no—
595#63227—22no—
596#63227—41no—
597#63227—41no—
598#63227—41no—
599#63227—41no—
600#63227—41no—
601#63227—41no—
602#63227—41no—
603#63227—41no—
604#63227—41no—
605#63227—41no—
606#63227—41no—
607#63227—41no—
608C4⋊Dic17—22no—
609C4⋊Dic17—41no—
610C4⋊Dic17—41no—
611C4⋊Dic17—41no—
612C4⋊Dic17—41no—
613C4⋊Dic17—41no—
614C4⋊Dic17—41no—
615#63225—22no—
616#63225—22no—
617#63225—22no—
618#63225—22no—
619#63225—22no—
620#63225—41no—
621#63225—41no—
622#63225—41no—
623#63225—41no—
624#63225—41no—
625#63225—41no—
626C4×Dic17—22no—
627C4×Dic17—41no—
628C4×Dic17—41no—
629C4×Dic17—41no—
630C4×Dic17—41no—
631#36724—171nomaximal, Sylow
632C23×C17—21no—
633C23×C17—21no—
634C23×C17—21no—
635C23×C17—21no—
636C23×C17—21no—
637C23×C17—21no—
638C23×C17—21no—
639C23×C17—21no—
640C23×C17—21no—
641C23×C17—21no—
642C23×C17—21no—
643C23×C17—21no—
644C23×C17—21no—
645C23×C17—21no—
646C23×C17—21no—
647C23×C17—21no—
648C23×C17—21no—
649C23×C17—21no—
650C23×C17—21no—
651C23×C17—21no—
652C23×C17—21no—
653C23×C17—21no—
654C23×C17—21no—
655C23×C17—21no—
656C23×C17—21no—
657C23×C17—21no—
658C23×C17—21no—
659C23×C17—21no—
660C23×C17—21no—
661C23×C17—21no—
662C23×C17—21no—
663C23×C17—44no—
664C23×C17—44no—
665C23×C17—44no—
666C23×C17—44no—
667C23×C17—44no—
668C23×C17—44no—
669C23×C17—44no—
670C23×C17C22×D412yes—
671C23×C17C22×D412yes—
672C23×C17H(5,𝔽2)12yes—
673C23×C17H(5,𝔽2)12yes—
674C23×C17C2511yescharacteristic
675C22×D17—21no—
676C22×D17—21no—
677C22×D17—21no—
678C22×D17—21no—
679C22×D17—21no—
680C22×D17—21no—
681C22×D17—21no—
682C22×D17—21no—
683C22×D17—21no—
684C22×D17—21no—
685C22×D17—21no—
686C22×D17—21no—
687C22×D17—21no—
688C22×D17—21no—
689C22×D17—21no—
690C22×D17—21no—
691C22×D17—21no—
692C22×D17—21no—
693C22×D17—21no—
694C22×D17—21no—
695C22×D17—21no—
696C22×D17—44no—
697C22×D17—82no—
698C22×D17—82no—
699C22×D17—82no—
700C22×D17—82no—
701C22×D17—82no—
702C22×D17—82no—
703Q8×C17—44no—
704D4×C17—44no—
705D4×C17—44no—
706D4×C17—44no—
707D4×C17—44no—
708D4×C17—44no—
709D4×C17—44no—
710D4×C17—44no—
711C2×C4×C17—28no—
712C2×C4×C17—21no—
713C2×C4×C17—21no—
714C2×C4×C17—21no—
715C2×C4×C17—21no—
716C2×C4×C17—21no—
717C2×C4×C17—21no—
718C2×C4×C17—21no—
719C2×C4×C17—21no—
720C2×C4×C17—21no—
721C2×C4×C17—21no—
722C2×C4×C17—21no—
723C2×C4×C17—21no—
724C2×C4×C17—21no—
725C2×C4×C17—21no—
726C2×C4×C17—21no—
727C2×C4×C17—21no—
728C2×C4×C17—21no—
729C2×C4×C17—21no—
730C2×C4×C17—21no—
731C2×C4×C17—21no—
732C2×C4×C17—21no—
733C2×C4×C17—21no—
734C2×C4×C17—21no—
735C2×C4×C17—21no—
736C2×C4×C17—44no—
737C2×C4×C17—44no—
738C2×C4×C17—44no—
739C2×C4×C17—44no—
740C2×C4×C17—44no—
741C2×C4×C17—44no—
742C2×C4×C17—44no—
743C2×C4×C17C22×D412yes—
744C2×C4×C17C22×D412yes—
745C2×C4×C17C22×D412yes—
746C2×C4×C17C22×D412yes—
747C2×C4×C17C22×D412yes—
748C2×C4×C17H(5,𝔽2)12yes—
749C22⋊D17—44no—
750C22⋊D17—82no—
751C22⋊D17—82no—
752C22⋊D17—82no—
753C22⋊D17—82no—
754C22⋊D17—82no—
755C22⋊D17—82no—
756C22⋊D17—82no—
757C22⋊D17—82no—
758C22⋊D17—82no—
759C22⋊D17—82no—
760C22⋊D17—82no—
761C22⋊D17—82no—
762C2×Dic17—21no—
763C2×Dic17—21no—
764C2×Dic17—21no—
765C2×Dic17—21no—
766C2×Dic17—21no—
767C2×Dic17—21no—
768C2×Dic17—21no—
769C2×Dic17—21no—
770C2×Dic17—21no—
771C2×Dic17—21no—
772C2×Dic17—21no—
773C2×Dic17—21no—
774C2×Dic17—21no—
775C2×Dic17—21no—
776C2×Dic17—21no—
777C2×Dic17—21no—
778C2×Dic17—21no—
779C2×Dic17—21no—
780C2×Dic17—21no—
781C2×Dic17—21no—
782C2×Dic17—21no—
783C2×Dic17—21no—
784C2×Dic17—21no—
785C2×Dic17—21no—
786C2×Dic17—21no—
787C2×Dic17—21no—
788C2×Dic17—21no—
789C2×Dic17—21no—
790C2×Dic17—21no—
791C2×Dic17—21no—
792C2×Dic17—21no—
793C2×Dic17—21no—
794C2×Dic17—21no—
795C2×Dic17—21no—
796C2×Dic17—21no—
797C2×Dic17—21no—
798C2×Dic17—21no—
799C2×Dic17—21no—
800C2×Dic17—21no—
801C2×Dic17—82no—
802D68—82no—
803D68—82no—
804C4×D17—82no—
805Dic34—82no—
806C2×#538—171no—
807C2×#525D1711yescharacteristic, complemented
808#2849—171no—
809#2847—171no—
810#2705—171no—
811#2702—171no—
812#2700—171no—
813#2699—171no—
814#2687—171no—
815#2682—171no—
816#2681—171no—
817#2681—171no—
818#2679—171no—
819#2678—171no—
820#2678—171no—
821#2678—171no—
822#2672—171no—
823#2670—171no—
824#2669—171no—
825#2669—171no—
826#2635—171no—
827#2630—171no—
828#2610—171no—
829#2603—171no—
830#2601—171no—
831#2600—171no—
832#2544—171no—
833#2534—171no—
834#2407—171no—
835#2404—171no—
836#2319—171no—
837C22×C17—22no—
838C22×C17—22no—
839C22×C17—22no—
840C22×C17—22no—
841C22×C17—22no—
842C22×C17—22no—
843C22×C17—22no—
844C22×C17—22no—
845C22×C17—22no—
846C22×C17—22no—
847C22×C17—22no—
848C22×C17—22no—
849C22×C17—416no—
850C22×C17—41no—
851C22×C17—41no—
852C22×C17—41no—
853C22×C17—41no—
854C22×C17—41no—
855C22×C17—41no—
856C22×C17—41no—
857C22×C17—41no—
858C22×C17—41no—
859C22×C17—41no—
860C22×C17—41no—
861C22×C17—41no—
862C22×C17—41no—
863C22×C17—41no—
864C22×C17—41no—
865C22×C17—41no—
866C22×C17—41no—
867C22×C17—41no—
868C22×C17—41no—
869C22×C17—41no—
870C22×C17—41no—
871C22×C17—41no—
872C22×C17—41no—
873C22×C17C23×D411yescharacteristic
874C22×C17C2×H(5,𝔽2)11yescharacteristic
875C22×C17C2×H(5,𝔽2)11yescharacteristic
876C22×C17C2×H(5,𝔽2)11yescharacteristic
877C22×C17#58511yescharacteristic
878C22×C17#58511yescharacteristic
879C22×C17#58511yescharacteristic
880C2×D17—41no—
881C2×D17—41no—
882C2×D17—41no—
883C2×D17—41no—
884C2×D17—41no—
885C2×D17—41no—
886C2×D17—41no—
887C2×D17—41no—
888C2×D17—41no—
889C2×D17—41no—
890C2×D17—41no—
891C2×D17—41no—
892C2×D17—41no—
893C2×D17—41no—
894C2×D17—41no—
895C2×D17—41no—
896C2×D17—41no—
897C2×D17—41no—
898C2×D17—41no—
899C2×D17—41no—
900C2×D17—41no—
901C2×D17—88no—
902C4×C17—22no—
903C4×C17—22no—
904C4×C17—22no—
905C4×C17—22no—
906C4×C17—22no—
907C4×C17—22no—
908C4×C17—41no—
909C4×C17—41no—
910C4×C17—41no—
911C4×C17—41no—
912Dic17—41no—
913Dic17—41no—
914Dic17—41no—
915Dic17—41no—
916Dic17—41no—
917Dic17—41no—
918Dic17—41no—
919Dic17—41no—
920Dic17—41no—
921Dic17—41no—
922Dic17—41no—
923Dic17—41no—
924Dic17—41no—
925C22×#41C2×D1711yescharacteristic
926C24×C4C2×D1711yescharacteristic, complemented
927#538—348no—
928C2×#127—171no—
929C2×#126—171no—
930C2×#126—171no—
931C2×#124—171no—
932C2×#124—171no—
933C2×#124—171no—
934#525—28no—
935C2×#123—171no—
936C2×#123—171no—
937C2×#123—171no—
938C2×#123—171no—
939C2×#123C2×D1711yescharacteristic
940C2×#123C2×D1711yescharacteristic, complemented
941C2×C22⋊Q8—171no—
942C2×C22⋊Q8—171no—
943C2×C22⋊Q8C2×D1711yescharacteristic, complemented
944C2×C22⋊Q8C2×D1711yescharacteristic, complemented
945C2×#121—171no—
946C2×#121—171no—
947C2×#121—171no—
948C2×#121—171no—
949C2×#121—171no—
950C2×#121—171no—
951C2×#121C2×D1711yescharacteristic
952C2×#121C2×D1711yescharacteristic
953C2×#120—171no—
954C2×#120—171no—
955C2×#120—171no—
956C2×#120—171no—
957C2×#120—171no—
958C2×#120—171no—
959C2×#120—171no—
960C2×#120—171no—
961C2×#120C2×D1711yescharacteristic
962C2×#120C2×D1711yescharacteristic, complemented
963C2×C4×D4—171no—
964C2×C4×D4C2×D1711yescharacteristic
965C2×C4×D4C2×D1711yescharacteristic
966C2×C4×D4C2×D1711yescharacteristic, complemented
967C2×C4×D4C2×D1711yescharacteristic, complemented
968C2×#117C2×D1711yescharacteristic, complemented
969C22×C22⋊C4—171no—
970#400—171no—
971#399—171no—
972#398—171no—
973#398—171no—
974#398—171no—
975#397—171no—
976#397—171no—
977#397—171no—
978#396—171no—
979#396—171no—
980#396—171no—
981#396—171no—
982#396—171no—
983#396—171no—
984#395—171no—
985#394—171no—
986#394—171no—
987#394—171no—
988#394—171no—
989#394—171no—
990#394—171no—
991#394—171no—
992#394—171no—
993#394—171no—
994#394—171no—
995#394—171no—
996#394—171no—
997#394—171no—
998#394—171no—
999#394—171no—
1000#394—171no—
1001#394—171no—
1002#394—171no—
1003#394—171no—
1004#393—171no—
1005#393—171no—
1006#393—171no—
1007#392—171no—
1008#392—171no—
1009#392—171no—
1010#392—171no—
1011#392—171no—
1012#392—171no—
1013#392—171no—
1014#392—171no—
1015#392—171no—
1016#392—171no—
1017#392—171no—
1018#391—171no—
1019#391—171no—
1020#390—171no—
1021#390—171no—
1022#390—171no—
1023#390—171no—
1024#390—171no—
1025#390—171no—
1026#390—171no—
1027#390—171no—
1028#390—171no—
1029#389—171no—
1030#389—171no—
1031#389—171no—
1032#388—171no—
1033#388—171no—
1034#388—171no—
1035#388—171no—
1036#388—171no—
1037#388—171no—
1038#388—171no—
1039#388—171no—
1040#388—171no—
1041#388—171no—
1042#388—171no—
1043#388—171no—
1044#388—171no—
1045#388—171no—
1046#387—171no—
1047#387—171no—
1048#386—171no—
1049#386—171no—
1050#386—171no—
1051#386—171no—
1052#386—171no—
1053#386—171no—
1054#386—171no—
1055#386—171no—
1056#386—171no—
1057#386—171no—
1058#386—171no—
1059#386—171no—
1060#386—171no—
1061#386—171no—
1062#386—171no—
1063#386—171no—
1064#385—171no—
1065#385—171no—
1066#385—171no—
1067#385—171no—
1068#385—171no—
1069#385—171no—
1070#381—171no—
1071#381—171no—
1072#381—171no—
1073#381—171no—
1074#380—171no—
1075#380—171no—
1076#380—171no—
1077#380—171no—
1078#379—171no—
1079#379—171no—
1080C4×C4⋊C4—171no—
1081#376—171no—
1082C2×C17—42no—
1083C2×C17—42no—
1084C2×C17—42no—
1085C2×C17—42no—
1086C2×C17—81no—
1087C2×C17#344911yescharacteristic
1088C2×C17#348411yescharacteristic
1089C2×C17#348811yescharacteristic
1090C2×C17#353311yescharacteristic
1091C2×C17#353411yescharacteristic
1092C2×C17#354011yescharacteristic
1093C2×C17#354211yescharacteristic
1094D17—81no—
1095D17—81no—
1096D17—81no—
1097C25—171no—
1098C25C22×D1711yescharacteristic
1099C2×#41—24no—
1100C2×#41—42no—
1101C2×#41—42no—
1102C22×Q8—171no—
1103C22×Q8C22×D1711yescharacteristic
1104C22×D4—171no—
1105C22×D4—171no—
1106C22×D4—171no—
1107C22×D4—171no—
1108C22×D4—171no—
1109C22×D4—171no—
1110C22×D4—171no—
1111C22×D4—171no—
1112C22×D4—171no—
1113C22×D4—171no—
1114C22×D4—171no—
1115C22×D4—171no—
1116C22×D4—171no—
1117C22×D4—171no—
1118C22×D4—171no—
1119C22×D4C22×D1711yescharacteristic
1120C22×D4C22×D1711yescharacteristic
1121C22×D4C22×D1711yescharacteristic
1122C22×D4C22×D1711yescharacteristic
1123C22×D4C22×D1711yescharacteristic
1124C22×D4C22×D1711yescharacteristic
1125C22×D4C22×D1711yescharacteristic
1126C23×C4—24no—
1127C23×C4—42no—
1128C23×C4—42no—
1129C23×C4—171no—
1130C23×C4—171no—
1131C23×C4C22×D1711yescharacteristic
1132C23×C4C22×D1711yescharacteristic
1133C23×C4C22×D1711yescharacteristic
1134C23×C4C22×D1711yescharacteristic
1135C23×C4C22×D1711yescharacteristic
1136C23×C4C22×D1711yescharacteristic
1137C23×C4C22×D1711yescharacteristic
1138C23×C4C22×D1711yescharacteristic
1139#127—682no—
1140#126—344no—
1141#126—344no—
1142#124—344no—
1143#124—344no—
1144#124—682no—
1145#123—24no—
1146#123—24no—
1147#123—344no—
1148#123—344no—
1149#123—682no—
1150#123—682no—
1151C22⋊Q8—24no—
1152C22⋊Q8—24no—
1153C22⋊Q8—344no—
1154C22⋊Q8—682no—
1155#121—24no—
1156#121—24no—
1157#121—344no—
1158#121—344no—
1159#121—344no—
1160#121—682no—
1161#121—682no—
1162#121—682no—
1163#120—24no—
1164#120—24no—
1165#120—344no—
1166#120—344no—
1167#120—682no—
1168#120—682no—
1169#120—682no—
1170#120—682no—
1171#120—682no—
1172#120—682no—
1173C4×D4—24no—
1174C4×D4—24no—
1175C4×D4—24no—
1176C4×D4—344no—
1177C4×D4C22⋊D1718yescomplemented
1178#117—24no—
1179C2×C4⋊C4—171no—
1180C2×C4⋊C4—171no—
1181C2×C4⋊C4—171no—
1182C2×C4⋊C4—171no—
1183C2×C4⋊C4—171no—
1184C2×C4⋊C4—171no—
1185C2×C4⋊C4—171no—
1186C2×C4⋊C4—171no—
1187C2×C4⋊C4—171no—
1188C2×C4⋊C4—171no—
1189C2×C4⋊C4—171no—
1190C2×C4⋊C4—171no—
1191C2×C4⋊C4—171no—
1192C2×C4⋊C4—171no—
1193C2×C4⋊C4—171no—
1194C2×C4⋊C4—171no—
1195C2×C4⋊C4—171no—
1196C2×C4⋊C4—171no—
1197C2×C4⋊C4C22×D1711yescharacteristic
1198C2×C4⋊C4C22×D1711yescharacteristic
1199C2×C4⋊C4C22×D1711yescharacteristic
1200C2×C4⋊C4C22×D1711yescharacteristic
1201C2×C4⋊C4C22×D1711yescharacteristic
1202C2×C4⋊C4C22×D1711yescharacteristic
1203C2×C22⋊C4—171no—
1204C2×C22⋊C4—171no—
1205C2×C22⋊C4—171no—
1206C2×C22⋊C4—171no—
1207C2×C22⋊C4—171no—
1208C2×C22⋊C4—171no—
1209C2×C22⋊C4—171no—
1210C2×C22⋊C4—171no—
1211C2×C22⋊C4—171no—
1212C2×C22⋊C4—171no—
1213C2×C22⋊C4—171no—
1214C2×C22⋊C4—171no—
1215C2×C22⋊C4—171no—
1216C2×C22⋊C4—171no—
1217C2×C22⋊C4—171no—
1218C2×C22⋊C4—171no—
1219C2×C22⋊C4—171no—
1220C2×C22⋊C4—171no—
1221C2×C22⋊C4—171no—
1222C2×C22⋊C4—171no—
1223C2×C22⋊C4—171no—
1224C2×C22⋊C4—171no—
1225C2×C22⋊C4—171no—
1226C2×C22⋊C4—171no—
1227C2×C22⋊C4—171no—
1228C2×C22⋊C4—171no—
1229C2×C22⋊C4—171no—
1230C2×C22⋊C4—171no—
1231C2×C22⋊C4—171no—
1232C2×C22⋊C4—171no—
1233C2×C22⋊C4—171no—
1234C2×C22⋊C4—171no—
1235C2×C22⋊C4—171no—
1236C2×C22⋊C4—171no—
1237C2×C22⋊C4—171no—
1238C2×C22⋊C4—171no—
1239C2×C22⋊C4—171no—
1240C2×C22⋊C4—171no—
1241C2×C22⋊C4—171no—
1242C2×C22⋊C4—171no—
1243C2×C22⋊C4—171no—
1244C2×C22⋊C4—171no—
1245C2×C22⋊C4—171no—
1246C2×C22⋊C4—171no—
1247C2×C22⋊C4—171no—
1248C2×C22⋊C4—171no—
1249C2×C22⋊C4—171no—
1250C2×C22⋊C4—171no—
1251C2×C22⋊C4—171no—
1252C2×C22⋊C4—171no—
1253C2×C22⋊C4—344no—
1254C2×C22⋊C4C22×D1711yescharacteristic
1255C2×C22⋊C4C22×D1711yescharacteristic
1256C2×C22⋊C4C22×D1711yescharacteristic
1257C2×C22⋊C4C22×D1711yescharacteristic
1258C2×C22⋊C4C22×D1711yescharacteristic
1259C2×C22⋊C4C22×D1711yescharacteristic
1260C2×C22⋊C4C22×D1711yescharacteristic
1261C2×C22⋊C4C22×D1711yescharacteristic
1262C2×C22⋊C4C22×D1711yescharacteristic
1263C2×C22⋊C4C22×D1711yescharacteristic
1264C2×C42—171no—
1265C2×C42—171no—
1266C2×C42—171no—
1267C2×C42—171no—
1268C2×C42—171no—
1269C2×C42C22×D1711yescharacteristic
1270C2×C42C22×D1711yescharacteristic
1271#95—171no—
1272#95—171no—
1273#95—171no—
1274#95—171no—
1275#95—171no—
1276#95—171no—
1277#95—171no—
1278#95—171no—
1279#95—171no—
1280#95—171no—
1281#95—171no—
1282#95—171no—
1283#95—171no—
1284#95—171no—
1285#95—171no—
1286#95—171no—
1287#95—171no—
1288#95—171no—
1289#95—171no—
1290#95—171no—
1291#95—171no—
1292#95—171no—
1293#95—171no—
1294#95—171no—
1295#95—171no—
1296#95—171no—
1297#95—171no—
1298#95—171no—
1299C17#3672411yescharacteristic, complemented, Sylow
1300C24—22no—
1301C24—22no—
1302C24—22no—
1303C24—41no—
1304C24—41no—
1305C24—41no—
1306C24—41no—
1307C24—171no—
1308C24—171no—
1309C24—171no—
1310C24—342no—
1311C24—681no—
1312C24—681no—
1313C24—681no—
1314C24—681no—
1315C24—681no—
1316C24—681no—
1317C24C23×D1711yescharacteristic
1318C24C23×D1711yescharacteristic
1319C24C23×D1711yescharacteristic
1320C24C23×D1711yescharacteristic
1321C24C23×D1711yescharacteristic
1322#41—416no—
1323C2×Q8—22no—
1324C2×Q8—22no—
1325C2×Q8—41no—
1326C2×Q8—342no—
1327C2×Q8—681no—
1328C2×Q8—681no—
1329C2×D4—22no—
1330C2×D4—22no—
1331C2×D4—22no—
1332C2×D4—22no—
1333C2×D4—22no—
1334C2×D4—22no—
1335C2×D4—22no—
1336C2×D4—22no—
1337C2×D4—22no—
1338C2×D4—22no—
1339C2×D4—22no—
1340C2×D4—41no—
1341C2×D4—41no—
1342C2×D4—41no—
1343C2×D4—41no—
1344C2×D4—41no—
1345C2×D4—41no—
1346C2×D4—41no—
1347C2×D4—41no—
1348C2×D4—41no—
1349C2×D4—342no—
1350C2×D4—342no—
1351C2×D4—342no—
1352C2×D4—342no—
1353C2×D4—342no—
1354C2×D4—342no—
1355C2×D4—342no—
1356C2×D4—342no—
1357C2×D4—342no—
1358C2×D4—342no—
1359C2×D4—342no—
1360C2×D4—342no—
1361C2×D4—681no—
1362C2×D4—681no—
1363C2×D4—681no—
1364C2×D4—681no—
1365C2×D4—681no—
1366C2×D4—681no—
1367C2×D4—681no—
1368C2×D4—681no—
1369C2×D4—681no—
1370C2×D4—681no—
1371C2×D4—681no—
1372C2×D4—681no—
1373C2×D4—681no—
1374C2×D4—681no—
1375C2×D4—681no—
1376C2×D4—681no—
1377C2×D4—681no—
1378C2×D4—681no—
1379C2×D4—681no—
1380C2×D4—681no—
1381C2×D4—681no—
1382C2×D4—681no—
1383C2×D4—681no—
1384C2×D4—681no—
1385C2×D4—681no—
1386C2×D4—681no—
1387C2×D4—681no—
1388C2×D4—681no—
1389C2×D4—681no—
1390C2×D4—681no—
1391C2×D4—681no—
1392C2×D4—681no—
1393C2×D4—681no—
1394C2×D4C2×C22⋊D1714yes—
1395C22×C4—22no—
1396C22×C4—22no—
1397C22×C4—22no—
1398C22×C4—22no—
1399C22×C4—22no—
1400C22×C4—22no—
1401C22×C4—22no—
1402C22×C4—22no—
1403C22×C4—22no—
1404C22×C4—22no—
1405C22×C4—22no—
1406C22×C4—41no—
1407C22×C4—41no—
1408C22×C4—41no—
1409C22×C4—41no—
1410C22×C4—41no—
1411C22×C4—41no—
1412C22×C4—41no—
1413C22×C4—41no—
1414C22×C4—41no—
1415C22×C4—41no—
1416C22×C4—41no—
1417C22×C4—416no—
1418C22×C4—171no—
1419C22×C4—171no—
1420C22×C4—171no—
1421C22×C4—171no—
1422C22×C4—171no—
1423C22×C4—171no—
1424C22×C4—171no—
1425C22×C4—171no—
1426C22×C4—171no—
1427C22×C4—171no—
1428C22×C4—171no—
1429C22×C4—171no—
1430C22×C4—171no—
1431C22×C4—342no—
1432C22×C4—342no—
1433C22×C4—681no—
1434C22×C4—681no—
1435C22×C4—681no—
1436C22×C4—681no—
1437C22×C4C2×C22⋊D1714yes—
1438C22×C4C2×C22⋊D1714yes—
1439C22×C4C23×D1711yescharacteristic
1440C22×C4C23×D1711yescharacteristic
1441C22×C4C23×D1711yescharacteristic
1442C22×C4C23×D1711yescharacteristic
1443C22×C4C23×D1711yescharacteristic
1444C22×C4C23×D1711yescharacteristic
1445C22×C4C23×D1711yescharacteristic
1446C22×C4C23×D1711yescharacteristic
1447C22×C4C23×D1711yescharacteristic
1448C22×C4C23×D1711yescharacteristic
1449C4⋊C4—22no—
1450C4⋊C4—22no—
1451C4⋊C4—22no—
1452C4⋊C4—22no—
1453C4⋊C4—22no—
1454C4⋊C4—342no—
1455C4⋊C4—342no—
1456C4⋊C4—342no—
1457C4⋊C4—342no—
1458C4⋊C4—342no—
1459C4⋊C4—342no—
1460C4⋊C4—681no—
1461C4⋊C4—681no—
1462C4⋊C4—681no—
1463C4⋊C4—681no—
1464C4⋊C4—681no—
1465C4⋊C4—681no—
1466C4⋊C4—681no—
1467C4⋊C4—681no—
1468C4⋊C4—681no—
1469C4⋊C4—681no—
1470C4⋊C4—681no—
1471C4⋊C4—681no—
1472C4⋊C4C2×C22⋊D1714yes—
1473C22⋊C4—22no—
1474C22⋊C4—22no—
1475C22⋊C4—22no—
1476C22⋊C4—22no—
1477C22⋊C4—22no—
1478C22⋊C4—22no—
1479C22⋊C4—22no—
1480C22⋊C4—22no—
1481C22⋊C4—342no—
1482C22⋊C4—342no—
1483C22⋊C4—342no—
1484C22⋊C4—342no—
1485C22⋊C4—342no—
1486C22⋊C4—342no—
1487C22⋊C4—342no—
1488C22⋊C4—342no—
1489C22⋊C4—342no—
1490C22⋊C4—342no—
1491C22⋊C4—342no—
1492C22⋊C4—342no—
1493C22⋊C4—342no—
1494C22⋊C4—342no—
1495C22⋊C4—342no—
1496C22⋊C4—342no—
1497C22⋊C4—342no—
1498C22⋊C4—342no—
1499C22⋊C4—342no—
1500C22⋊C4—681no—
1501C22⋊C4—681no—
1502C22⋊C4—681no—
1503C22⋊C4—681no—
1504C22⋊C4—681no—
1505C22⋊C4—681no—
1506C22⋊C4—681no—
1507C22⋊C4—681no—
1508C22⋊C4—681no—
1509C22⋊C4—681no—
1510C22⋊C4—681no—
1511C22⋊C4—681no—
1512C22⋊C4—681no—
1513C22⋊C4—681no—
1514C22⋊C4—681no—
1515C22⋊C4—681no—
1516C22⋊C4—681no—
1517C22⋊C4—681no—
1518C22⋊C4—681no—
1519C22⋊C4—681no—
1520C22⋊C4—681no—
1521C22⋊C4—681no—
1522C22⋊C4—681no—
1523C22⋊C4—681no—
1524C22⋊C4—681no—
1525C22⋊C4—681no—
1526C22⋊C4—681no—
1527C22⋊C4—681no—
1528C22⋊C4—681no—
1529C22⋊C4—681no—
1530C22⋊C4—681no—
1531C22⋊C4C2×C22⋊D1714yes—
1532C22⋊C4C2×C22⋊D1714yes—
1533C42—22no—
1534C42—342no—
1535C42—681no—
1536C42—681no—
1537C42—681no—
1538C42—681no—
1539C42C2×C22⋊D1714yes—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—21no—
1569C23—21no—
1570C23—21no—
1571C23—44no—
1572C23—44no—
1573C23—44no—
1574C23—44no—
1575C23—44no—
1576C23—44no—
1577C23—44no—
1578C23—341no—
1579C23—341no—
1580C23—341no—
1581C23—341no—
1582C23—341no—
1583C23—341no—
1584C23—341no—
1585C23—341no—
1586C23—341no—
1587C23—341no—
1588C23—341no—
1589C23—341no—
1590C23—341no—
1591C23—341no—
1592C23—341no—
1593C23—341no—
1594C23—341no—
1595C23—341no—
1596C23—341no—
1597C23—341no—
1598C23—341no—
1599C23—684no—
1600C23—1362no—
1601C23—1362no—
1602C23—1362no—
1603C23—1362no—
1604C23—1362no—
1605C23—1362no—
1606C23#1058769112yes—
1607C23#1058769612yes—
1608C23C22×C22⋊D1712yes—
1609C23C22×C22⋊D1712yes—
1610C23C24×D1711yescharacteristic
1611Q8—44no—
1612Q8—1362no—
1613D4—44no—
1614D4—44no—
1615D4—44no—
1616D4—44no—
1617D4—44no—
1618D4—44no—
1619D4—44no—
1620D4—684no—
1621D4—1362no—
1622D4—1362no—
1623D4—1362no—
1624D4—1362no—
1625D4—1362no—
1626D4—1362no—
1627D4—1362no—
1628D4—1362no—
1629D4—1362no—
1630D4—1362no—
1631D4—1362no—
1632D4—1362no—
1633D4—1362no—
1634D4—1362no—
1635C2×C4—28no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—44no—
1661C2×C4—44no—
1662C2×C4—44no—
1663C2×C4—44no—
1664C2×C4—44no—
1665C2×C4—44no—
1666C2×C4—44no—
1667C2×C4—341no—
1668C2×C4—341no—
1669C2×C4—341no—
1670C2×C4—341no—
1671C2×C4—341no—
1672C2×C4—341no—
1673C2×C4—341no—
1674C2×C4—341no—
1675C2×C4—341no—
1676C2×C4—341no—
1677C2×C4—341no—
1678C2×C4—341no—
1679C2×C4—341no—
1680C2×C4—341no—
1681C2×C4—341no—
1682C2×C4—341no—
1683C2×C4—341no—
1684C2×C4—341no—
1685C2×C4—341no—
1686C2×C4—341no—
1687C2×C4—341no—
1688C2×C4—341no—
1689C2×C4—341no—
1690C2×C4—341no—
1691C2×C4—341no—
1692C2×C4—341no—
1693C2×C4—341no—
1694C2×C4—341no—
1695C2×C4—341no—
1696C2×C4—341no—
1697C2×C4—341no—
1698C2×C4—341no—
1699C2×C4—341no—
1700C2×C4—341no—
1701C2×C4—341no—
1702C2×C4—341no—
1703C2×C4—341no—
1704C2×C4—341no—
1705C2×C4—341no—
1706C2×C4—1362no—
1707C2×C4—1362no—
1708C2×C4#1058769112yes—
1709C2×C4C22×C22⋊D1712yes—
1710C2×C4C22×C22⋊D1712yes—
1711C2×C4C22×C22⋊D1712yes—
1712C2×C4C22×C22⋊D1712yes—
1713C2×C4C22×C22⋊D1712yes—
1714C22—22no—
1715C22—22no—
1716C22—22no—
1717C22—22no—
1718C22—22no—
1719C22—22no—
1720C22—22no—
1721C22—22no—
1722C22—22no—
1723C22—22no—
1724C22—22no—
1725C22—22no—
1726C22—416no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—681no—
1751C22—681no—
1752C22—681no—
1753C22—681no—
1754C22—681no—
1755C22—681no—
1756C22—681no—
1757C22—681no—
1758C22—681no—
1759C22—681no—
1760C22—681no—
1761C22—681no—
1762C22—681no—
1763C22—681no—
1764C22—681no—
1765C22—681no—
1766C22—681no—
1767C22—681no—
1768C22—681no—
1769C22—681no—
1770C22—681no—
1771C22—1368no—
1772C22C23×C22⋊D1711yescharacteristic
1773C22C2×#1058769111yescharacteristic
1774C22C2×#1058769111yescharacteristic
1775C22C2×#1058769611yescharacteristic
1776C22#1176364511yescharacteristic
1777C22#1176364511yescharacteristic
1778C22#1176364511yescharacteristic
1779C4—22no—
1780C4—22no—
1781C4—22no—
1782C4—22no—
1783C4—22no—
1784C4—22no—
1785C4—41no—
1786C4—41no—
1787C4—41no—
1788C4—41no—
1789C4—681no—
1790C4—681no—
1791C4—681no—
1792C4—681no—
1793C4—681no—
1794C4—681no—
1795C4—681no—
1796C4—681no—
1797C4—681no—
1798C4—681no—
1799C4—681no—
1800C4—681no—
1801C4—681no—
1802C2—42no—
1803C2—42no—
1804C2—42no—
1805C2—42no—
1806C2—81no—
1807C2—1361no—
1808C2—1361no—
1809C2—1361no—
1810C2#1454211311yescharacteristic
1811C2#1454241911yescharacteristic
1812C2#1454245311yescharacteristic
1813C2#1454294811yescharacteristic
1814C2#1454296811yescharacteristic
1815C2#1454305211yescharacteristic
1816C2#1454309211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D17
commutator, socle, cosocleC23×C17C25
FittingC2×C17×#525C2
hypercenterC2×#525D17
hypocenterC17#36724
LCSG ▷ C23×C17 ▷ C17
UCSC1 ◁ C23 ◁ C2×#525

Complements

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

NH ≅ G/Ntype
1. C2×#11763392C2semidirect
2. #14537076C2semidirect
3. #14537066C2semidirect
4. #14535453C2semidirect
5. #14535408C2semidirect
6. #14535378C2semidirect
7. #14535367C2semidirect
8. #14535199C2semidirect
9. #14535149C2semidirect
10. #14535139C2semidirect
11. #14535132C2semidirect
12. #14535118C2semidirect
13. #14535112C2semidirect
14. #14535109C2semidirect
15. #14535103C2semidirect
16. #14535029C2semidirect
17. #14535006C2semidirect
18. #14534998C2semidirect
19. #14534996C2semidirect
20. #14534668C2semidirect
21. #14534621C2semidirect
22. #14534471C2semidirect
23. #14534405C2semidirect
24. #14534381C2semidirect
25. #14534366C2semidirect
26. #14533751C2semidirect
27. #14533670C2semidirect
28. #14532123C2semidirect
29. #14532099C2semidirect
30. #14531427C2semidirect
31. C2×C17×#525C2semidirect
34. C2×#10587584C22semidirect
35. C2×#10587562C22semidirect
36. C2×#10587561C22semidirect
37. C2×#10587622C22semidirect
39. C2×#10587580C22semidirect
43. C2×#10587564C22semidirect
44. C2×#10587632C22semidirect
50. C2×#10587624C22semidirect
51. C2×#10587568C22semidirect
54. C2×#10587639C22semidirect
58. C2×#10587623C22semidirect
59. C2×C4×C22⋊D17C22semidirect
60. C22×#63227C22semidirect
61. #11762748C22semidirect
62. #11762745C22semidirect
63. #11762742C22semidirect
64. #11762742C22semidirect
65. #11762740C22semidirect
66. #11762737C22semidirect
67. #11762737C22semidirect
68. #11762735C22semidirect
69. #11762732C22semidirect
70. #11762732C22semidirect
71. #11762731C22semidirect
72. #11762731C22semidirect
73. #11762731C22semidirect
74. #11762731C22semidirect
75. #11762729C22semidirect
76. #11762726C22semidirect
77. #11762726C22semidirect
82. #11762725C22semidirect
83. #11762725C22semidirect
84. #11762725C22semidirect
85. #11762725C22semidirect
88. #11762724C22semidirect
89. #11762724C22semidirect
92. #11762723C22semidirect
93. #11762723C22semidirect
94. #11762723C22semidirect
95. #11762721C22semidirect
96. #11762720C22semidirect
97. #11762720C22semidirect
99. #11762718C22semidirect
107. #11762717C22semidirect
108. #11762717C22semidirect
109. #11762716C22semidirect
110. #11762714C22semidirect
113. #11762712C22semidirect
114. #11762710C22semidirect
118. #11762709C22semidirect
119. #11762709C22semidirect
120. #11762708C22semidirect
121. #11762708C22semidirect
122. #11762704C22semidirect
123. #11762703C22semidirect
124. #11762703C22semidirect
125. #11762703C22semidirect
126. #11762702C22semidirect
127. #11762702C22semidirect
128. #11762702C22semidirect
129. #11762702C22semidirect
130. #11762700C22semidirect
131. #11762700C22semidirect
132. #11762700C22semidirect
133. #11762699C22semidirect
134. #11762699C22semidirect
135. #11762699C22semidirect
136. #11762697C22semidirect
137. #11762693C22semidirect
138. #11762690C22semidirect
140. #11762689C22semidirect
148. #11762688C22semidirect
149. #11762688C22semidirect
150. #11762688C22semidirect
151. #11762688C22semidirect
152. #11762688C22semidirect
153. #11762688C22semidirect
154. #11762685C22semidirect
155. #11762682C22semidirect
156. #11762682C22semidirect
157. #11762682C22semidirect
158. #11762682C22semidirect
159. #11762682C22semidirect
160. #11762680C22semidirect
161. #11762672C22semidirect
162. #11762672C22semidirect
163. #11762672C22semidirect
164. #11762670C22semidirect
165. #11762669C22semidirect
166. #11762669C22semidirect
167. #11762669C22semidirect
168. #11762669C22semidirect
169. #11762665C22semidirect
170. #11762664C22semidirect
171. C4×C4⋊Dic17C22semidirect
172. #11762655C22semidirect
174. C24×C4×C17C22semidirect
177. C2×C17×#123C22semidirect
178. C2×C17×C22⋊Q8C22semidirect
179. C2×C17×C22⋊Q8C22semidirect
183. C2×C17×#120C22semidirect
186. C2×C4×D4×C17C22semidirect
187. C2×C4×D4×C17C22semidirect
188. C2×C17×#117C22semidirect
242. C4×D4×C17D4semidirect
807. C2×#525D17semidirect
926. C24×C4C2×D17semidirect
940. C2×#123C2×D17semidirect
943. C2×C22⋊Q8C2×D17semidirect
944. C2×C22⋊Q8C2×D17semidirect
962. C2×#120C2×D17semidirect
966. C2×C4×D4C2×D17semidirect
967. C2×C4×D4C2×D17semidirect
968. C2×#117C2×D17semidirect
1177. C4×D4C22⋊D17semidirect
1299. C17#36724semidirect

Maximal subgroups

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

subgroupindex
C2×#117633922
#145370762
#145370662
#145354532
#145354082
#145353782
#145353672
#145351992
#145351492
#145351392
#145351322
#145351182
#145351122
#145351092
#145351032
#145350292
#145350062
#145349982
#145349962
#145346682
#145346212
#145344712
#145344052
#145343812
#145343662
#145337512
#145336702
#145321232
#145320992
#145314272
C2×C17×#5252
#3672417