Finite Group Databasebeta

← #17241423

Subgroups — #17241423

Order 4352.

3282 conjugacy classes of subgroups.

The subgroup lattice has 1908 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#14537060C211yesmaximal, characteristic, complemented
2#14537060C211yesmaximal, characteristic, complemented
3#14535831C211yesmaximal, characteristic, complemented
4#14535827C211yesmaximal, characteristic, complemented
5#14535821C211yesmaximal, characteristic, complemented
6#14535820C211yesmaximal, characteristic, complemented
7#14535350C211yesmaximal, characteristic, complemented
8#14535343C211yesmaximal, characteristic, complemented
9#14535181C211yesmaximal, characteristic, complemented
10#14535176C211yesmaximal, characteristic, complemented
11#14535176C211yesmaximal, characteristic, complemented
12#14535171C211yesmaximal, characteristic, complemented
13#14535162C211yesmaximal, characteristic, complemented
14#14535161C211yesmaximal, characteristic, complemented
15#14535102C211yesmaximal, characteristic, complemented
16#14535009C211yesmaximal, characteristic, complemented
17#14534987C211yesmaximal, characteristic, complemented
18#14534594C211yesmaximal, characteristic, complemented
19#14534517C211yesmaximal, characteristic, complemented
20#14533034C211yesmaximal, characteristic, complemented
21#14533023C211yesmaximal, characteristic, complemented
22#14532916C211yesmaximal, characteristic, complemented
23#14532905C211yesmaximal, characteristic, complemented
24#14532323C211yesmaximal, characteristic, complemented
25#14532317C211yesmaximal, characteristic, complemented
26#14532243C211yesmaximal, characteristic, complemented
27#14532241C211yesmaximal, characteristic, complemented
28#14531443C211yesmaximal, characteristic, complemented
29#14531440C211yesmaximal, characteristic, complemented
30D17×#379C211yesmaximal, characteristic, complemented
31C17×#2678C211yesmaximal, characteristic, complemented
32C25×D17C2211yescharacteristic
33C2×#10587562C2211yescharacteristic, complemented
34C2×#10587565C2211yescharacteristic, complemented
35C2×#10587622C2211yescharacteristic, complemented
36C2×#10587571C2211yescharacteristic, complemented
37C2×#10587572C2211yescharacteristic, complemented
38C2×#10587582C2211yescharacteristic, complemented
39C2×#10587625C2211yescharacteristic, complemented
40C2×#10587624C2211yescharacteristic, complemented
41C2×#10587623C2211yescharacteristic
42C2×#10587623C2211yescharacteristic
43C2×#10587623C2211yescharacteristic
44C2×#10587623C2211yescharacteristic
45C2×#10587623C2211yescharacteristic
46C2×#10587623C2211yescharacteristic
47C2×#10587623C2211yescharacteristic
48C2×#10587623C2211yescharacteristic
49C2×#10587623C2211yescharacteristic
50C2×#10587623C2211yescharacteristic
51C2×#10587623C2211yescharacteristic
52C2×#10587623C2211yescharacteristic
53C2×C4×C22⋊D17C2211yescharacteristic, complemented
54C2×#10587567C2211yescharacteristic, complemented
55C2×C22⋊C4×D17C2211yescharacteristic
56C2×C22⋊C4×D17C2211yescharacteristic
57C2×C22⋊C4×D17C2211yescharacteristic
58C2×C22⋊C4×D17C2211yescharacteristic
59C2×C22⋊C4×D17C2211yescharacteristic
60C2×C22⋊C4×D17C2211yescharacteristic
61#11762745C2211yescharacteristic, complemented
62#11762745C2211yescharacteristic, complemented
63#11762744C2211yescharacteristic, complemented
64#11762744C2211yescharacteristic, complemented
65#11762738C2211yescharacteristic, complemented
66#11762738C2211yescharacteristic, complemented
67#11762737C2211yescharacteristic, complemented
68#11762737C2211yescharacteristic, complemented
69#11762737C2211yescharacteristic, complemented
70#11762737C2211yescharacteristic, complemented
71#11762736C2211yescharacteristic, complemented
72#11762736C2211yescharacteristic, complemented
73#11762735C2211yescharacteristic, complemented
74#11762735C2211yescharacteristic, complemented
75#11762734C2211yescharacteristic, complemented
76#11762732C2211yescharacteristic, complemented
77#11762732C2211yescharacteristic, complemented
78#11762732C2211yescharacteristic, complemented
79#11762731C2211yescharacteristic, complemented
80#11762731C2211yescharacteristic, complemented
81#11762731C2211yescharacteristic, complemented
82#11762731C2211yescharacteristic, complemented
83#11762725C2211yescharacteristic, complemented
84#11762725C2211yescharacteristic, complemented
85#11762724C2211yescharacteristic, complemented
86#11762724C2211yescharacteristic, complemented
87#11762724C2211yescharacteristic, complemented
88#11762724C2211yescharacteristic, complemented
89#11762724C2211yescharacteristic, complemented
90#11762724C2211yescharacteristic, complemented
91#11762723C2211yescharacteristic, complemented
92#11762723C2211yescharacteristic, complemented
93#11762723C2211yescharacteristic, complemented
94#11762723C2211yescharacteristic, complemented
95#11762723C2211yescharacteristic, complemented
96#11762723C2211yescharacteristic, complemented
97#11762722C2211yescharacteristic, complemented
98#11762722C2211yescharacteristic, complemented
99#11762721C2211yescharacteristic, complemented
100#11762721C2211yescharacteristic, complemented
101#11762717C2211yescharacteristic, complemented
102#11762717C2211yescharacteristic, complemented
103#11762712C2211yescharacteristic, complemented
104#11762712C2211yescharacteristic, complemented
105#11762709C2211yescharacteristic, complemented
106#11762709C2211yescharacteristic, complemented
107#11762709C2211yescharacteristic, complemented
108#11762709C2211yescharacteristic, complemented
109#11762703C2211yescharacteristic, complemented
110#11762703C2211yescharacteristic, complemented
111#11762703C2211yescharacteristic, complemented
112#11762702C2211yescharacteristic, complemented
113#11762702C2211yescharacteristic, complemented
114#11762702C2211yescharacteristic, complemented
115#11762701C2211yescharacteristic, complemented
116#11762701C2211yescharacteristic, complemented
117#11762700C2211yescharacteristic, complemented
118#11762700C2211yescharacteristic, complemented
119#11762699C2211yescharacteristic, complemented
120#11762699C2211yescharacteristic, complemented
121#11762699C2211yescharacteristic, complemented
122#11762699C2211yescharacteristic, complemented
123#11762698C2211yescharacteristic, complemented
124#11762698C2211yescharacteristic, complemented
125#11762698C2211yescharacteristic, complemented
126#11762698C2211yescharacteristic, complemented
127#11762697C2211yescharacteristic, complemented
128#11762697C2211yescharacteristic, complemented
129#11762697C2211yescharacteristic, complemented
130#11762697C2211yescharacteristic, complemented
131#11762697C2211yescharacteristic, complemented
132#11762689C2211yescharacteristic, complemented
133#11762689C2211yescharacteristic, complemented
134#11762689C2211yescharacteristic, complemented
135#11762688C2211yescharacteristic, complemented
136#11762688C2211yescharacteristic, complemented
137#11762688C2211yescharacteristic, complemented
138#11762686C2211yescharacteristic, complemented
139#11762685C2211yescharacteristic, complemented
140#11762685C2211yescharacteristic, complemented
141#11762685C2211yescharacteristic, complemented
142#11762685C2211yescharacteristic, complemented
143#11762683C2211yescharacteristic, complemented
144#11762683C2211yescharacteristic, complemented
145#11762680C2211yescharacteristic, complemented
146#11762680C2211yescharacteristic, complemented
147#11762668C2211yescharacteristic, complemented
148#11762666C2211yescharacteristic, complemented
149#11762665C2211yescharacteristic
150#11762665C2211yescharacteristic
151#11762665C2211yescharacteristic
152#11762664C2211yescharacteristic
153#11762664C2211yescharacteristic
154#11762664C2211yescharacteristic
155#11762664C2211yescharacteristic
156#11762664C2211yescharacteristic
157#11762664C2211yescharacteristic
158#11762664C2211yescharacteristic
159#11762664C2211yescharacteristic
160#11762664C2211yescharacteristic
161#11762664C2211yescharacteristic
162#11762664C2211yescharacteristic
163#11762664C2211yescharacteristic
164#11762664C2211yescharacteristic
165#11762664C2211yescharacteristic
166#11762664C2211yescharacteristic
167#11762664C2211yescharacteristic
168#11762664C2211yescharacteristic
169#11762664C2211yescharacteristic
170C4×#63227C2211yescharacteristic, complemented
171#11762656C2211yescharacteristic, complemented
172C2×C17×#123C2211yescharacteristic, complemented
173C2×C17×#121C2211yescharacteristic, complemented
174C2×C17×#120C2211yescharacteristic
175C2×C17×#120C2211yescharacteristic
176C17×#397C2211yescharacteristic, complemented
177C17×#396C2211yescharacteristic, complemented
178C17×#394C2211yescharacteristic, complemented
179C17×#394C2211yescharacteristic, complemented
180C17×#392C2211yescharacteristic, complemented
181C17×#392C2211yescharacteristic, complemented
182C17×#390C2211yescharacteristic, complemented
183C17×#390C2211yescharacteristic, complemented
184C17×#388C2211yescharacteristic, complemented
185C17×#386C2211yescharacteristic, complemented
186C17×#379C2211yescharacteristic
187C25×C17C2311yescharacteristic
188C24×D17—24no—
189C24×D17—42no—
190C24×D17—42no—
191C24×D17—42no—
192C24×D17—42no—
193C24×D17—42no—
194C24×D17—42no—
195C24×D17C2311yescharacteristic
196C24×D17C2311yescharacteristic
197C24×D17C2311yescharacteristic
198C24×D17C2311yescharacteristic
199C24×D17C2311yescharacteristic
200C24×D17C2311yescharacteristic
201C22×D4×C17C2311yescharacteristic
202C22×D4×C17C2311yescharacteristic
203C22×D4×C17C2311yescharacteristic
204C22×D4×C17C2311yescharacteristic
205C22×D4×C17C2311yescharacteristic
206C22×D4×C17C2311yescharacteristic
207C22×D4×C17C2311yescharacteristic, complemented
208C23×C4×C17C2311yescharacteristic, complemented
209C22×C22⋊D17C2311yescharacteristic
210C22×C22⋊D17C2311yescharacteristic
211C22×C22⋊D17C2311yescharacteristic
212C22×C22⋊D17C2311yescharacteristic
213C22×C22⋊D17C2311yescharacteristic
214C22×C22⋊D17C2311yescharacteristic
215C22×C22⋊D17C2311yescharacteristic
216C22×C22⋊D17C2311yescharacteristic
217C23×Dic17C2311yescharacteristic, complemented
218C22×C4×D17C2311yescharacteristic
219C22×C4×D17C2311yescharacteristic
220C22×C4×D17C2311yescharacteristic
221C22×C4×D17C2311yescharacteristic
222C22×Dic34C2311yescharacteristic, complemented
223C17×#123—42no—
224C17×#121—42no—
225C17×#120—42no—
226C17×#120—42no—
227C2×C4⋊C4×C17C2311yescharacteristic, complemented
228C2×C4⋊C4×C17C2311yescharacteristic, complemented
229C2×C4⋊C4×C17C2311yescharacteristic, complemented
230C2×C4⋊C4×C17C2311yescharacteristic, complemented
231C2×C22⋊C4×C17C2311yescharacteristic
232C2×C22⋊C4×C17C2311yescharacteristic
233C2×C22⋊C4×C17C2311yescharacteristic
234C2×C22⋊C4×C17C2311yescharacteristic
235C2×C22⋊C4×C17C2311yescharacteristic
236C2×C22⋊C4×C17C2311yescharacteristic
237C2×C22⋊C4×C17C2311yescharacteristic
238C2×C22⋊C4×C17C2311yescharacteristic
239C2×C22⋊C4×C17C2311yescharacteristic
240C2×C22⋊C4×C17C2311yescharacteristic
241C2×C22⋊C4×C17C2311yescharacteristic
242C2×C22⋊C4×C17C2311yescharacteristic
243C2×C22⋊C4×C17C2311yescharacteristic, complemented
244C2×C22⋊C4×C17C2311yescharacteristic, complemented
245C2×C22⋊C4×C17C2311yescharacteristic, complemented
246C2×C22⋊C4×C17C2311yescharacteristic, complemented
247C2×C22⋊C4×C17C2311yescharacteristic, complemented
248C2×C42×C17C2311yescharacteristic, complemented
249C2×C22⋊Dic17C2311yescharacteristic
250C2×C22⋊Dic17C2311yescharacteristic
251C2×C22⋊Dic17C2311yescharacteristic
252C2×C22⋊Dic17C2311yescharacteristic
253C2×C22⋊Dic17C2311yescharacteristic
254C2×C22⋊Dic17C2311yescharacteristic
255C2×C22⋊Dic17C2311yescharacteristic
256C2×C22⋊Dic17C2311yescharacteristic
257C2×C22⋊Dic17C2311yescharacteristic
258C2×C22⋊Dic17C2311yescharacteristic
259C2×C22⋊Dic17C2311yescharacteristic
260C2×C22⋊Dic17C2311yescharacteristic
261C2×C22⋊Dic17C2311yescharacteristic
262C2×C22⋊Dic17C2311yescharacteristic
263C2×C22⋊Dic17C2311yescharacteristic
264C2×C22⋊Dic17C2311yescharacteristic
265C2×C22⋊Dic17C2311yescharacteristic
266C2×C22⋊Dic17C2311yescharacteristic
267C2×C22⋊Dic17C2311yescharacteristic, complemented
268C2×C22⋊Dic17C2311yescharacteristic, complemented
269C2×C22⋊Dic17C2311yescharacteristic, complemented
270C2×C22⋊Dic17C2311yescharacteristic, complemented
271C2×C22⋊Dic17C2311yescharacteristic, complemented
272C2×C22⋊Dic17C2311yescharacteristic, complemented
273C2×C22⋊Dic17C2311yescharacteristic, complemented
274#10587625—42no—
275#10587624—42no—
276#10587623—24no—
277#10587623—24no—
278#10587623—42no—
279#10587623—42no—
280#10587623—42no—
281#10587623—42no—
282#10587623—42no—
283#10587623—42no—
284#10587623—42no—
285#10587623—42no—
286#10587623—42no—
287#10587623—42no—
288#10587622—42no—
289C4×C22⋊D17—42no—
290C2×#63227C2311yescharacteristic
291C2×#63227C2311yescharacteristic
292C2×#63227C2311yescharacteristic
293C2×#63227C2311yescharacteristic
294C2×#63227C2311yescharacteristic
295C2×#63227C2311yescharacteristic
296C2×#63227C2311yescharacteristic
297C2×#63227C2311yescharacteristic
298C2×#63227C2311yescharacteristic
299C2×#63227C2311yescharacteristic
300C2×#63227C2311yescharacteristic
301C2×#63227C2311yescharacteristic
302C2×#63227C2311yescharacteristic
303C2×#63227C2311yescharacteristic
304C2×#63227C2311yescharacteristic
305C2×#63227C2311yescharacteristic
306C2×#63227C2311yescharacteristic
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×C4⋊Dic17C2311yescharacteristic, complemented
327C2×C4⋊Dic17C2311yescharacteristic, complemented
328C2×C4⋊Dic17C2311yescharacteristic, complemented
329C2×C4⋊Dic17C2311yescharacteristic, complemented
330C2×#63225C2311yescharacteristic, complemented
331C2×#63225C2311yescharacteristic, complemented
332C2×#63225C2311yescharacteristic, complemented
333C2×#63225C2311yescharacteristic, complemented
334C2×#63225C2311yescharacteristic, complemented
335C2×#63225C2311yescharacteristic, complemented
336C2×#63225C2311yescharacteristic, complemented
337C2×#63225C2311yescharacteristic, complemented
338C2×#63225C2311yescharacteristic, complemented
339C2×#63225C2311yescharacteristic, complemented
340C2×C4×Dic17C2311yescharacteristic, complemented
341C2×C4×Dic17C2311yescharacteristic, complemented
342C2×C4×Dic17C2311yescharacteristic, complemented
343C2×C4×Dic17C2311yescharacteristic, complemented
344C2×C4×Dic17C2311yescharacteristic, complemented
345#10587582—42no—
346#10587572—42no—
347#10587571—42no—
348#10587567—42no—
349C22⋊C4×D17—42no—
350C22⋊C4×D17—42no—
351C22⋊C4×D17—42no—
352C22⋊C4×D17—42no—
353C22⋊C4×D17—42no—
354C22⋊C4×D17—42no—
355#10587565—42no—
356#10587562—42no—
357C17×#95C2311yescharacteristic, complemented
358C17×#95C2311yescharacteristic, complemented
359C17×#95C2311yescharacteristic, complemented
360C17×#95C2311yescharacteristic, complemented
361#10587502C2311yescharacteristic, complemented
362#10587502C2311yescharacteristic, complemented
363#10587502C2311yescharacteristic, complemented
364#10587502C2311yescharacteristic, complemented
365#10587502C2311yescharacteristic, complemented
366#10587502C2311yescharacteristic, complemented
367#10587502C2311yescharacteristic, complemented
368#10587502C2311yescharacteristic, complemented
369#10587502C2311yescharacteristic, complemented
370#10587502C2311yescharacteristic, complemented
371#10587502C2311yescharacteristic, complemented
372#10587502C2311yescharacteristic, complemented
373#10587502C2311yescharacteristic, complemented
374#10587502C2311yescharacteristic, complemented
375#10587502C2311yescharacteristic, complemented
376#10587502C2311yescharacteristic, complemented
377#10587502C2311yescharacteristic, complemented
378#10587502C2311yescharacteristic, complemented
379#10587502C2311yescharacteristic, complemented
380#10587502C2311yescharacteristic, complemented
381C24×C17—22no—
382C24×C17—22no—
383C24×C17—22no—
384C24×C17—41no—
385C24×C17—41no—
386C24×C17—41no—
387C24×C17—41no—
388C24×C17C2411yescharacteristic
389C24×C17C2411yescharacteristic
390C24×C17C2411yescharacteristic
391C24×C17C2411yescharacteristic
392C24×C17C2411yescharacteristic
393C23×D17—22no—
394C23×D17—22no—
395C23×D17—22no—
396C23×D17—22no—
397C23×D17—22no—
398C23×D17—22no—
399C23×D17—22no—
400C23×D17—22no—
401C23×D17—22no—
402C23×D17—22no—
403C23×D17—22no—
404C23×D17—22no—
405C23×D17—22no—
406C23×D17—22no—
407C23×D17—22no—
408C23×D17—22no—
409C23×D17—22no—
410C23×D17—22no—
411C23×D17—22no—
412C23×D17—22no—
413C23×D17—22no—
414C23×D17—41no—
415C23×D17—41no—
416C23×D17—41no—
417C23×D17—41no—
418C23×D17—41no—
419C23×D17—41no—
420C23×D17—41no—
421C23×D17—41no—
422C23×D17—41no—
423C23×D17—41no—
424C23×D17—41no—
425C23×D17—41no—
426C23×D17—41no—
427C23×D17—41no—
428C23×D17—41no—
429C23×D17—41no—
430C23×D17—41no—
431C23×D17—41no—
432C23×D17—41no—
433C23×D17—41no—
434C23×D17—416no—
435C23×D17—416no—
436C23×D17—416no—
437C23×D17—416no—
438C23×D17—416no—
439C23×D17—416no—
440C23×D17—416no—
441C23×D17#4114yes—
442C23×D17C2411yescharacteristic
443C23×D17C2411yescharacteristic
444C23×D17C2411yescharacteristic
445C23×D17C2411yescharacteristic
446C2×D4×C17—22no—
447C2×D4×C17—22no—
448C2×D4×C17—22no—
449C2×D4×C17—22no—
450C2×D4×C17—22no—
451C2×D4×C17—22no—
452C2×D4×C17—41no—
453C2×D4×C17—41no—
454C2×D4×C17—41no—
455C2×D4×C17—41no—
456C2×D4×C17—41no—
457C2×D4×C17—41no—
458C2×D4×C17—41no—
459C2×D4×C17—41no—
460C2×D4×C17—41no—
461C2×D4×C17—41no—
462C2×D4×C17—41no—
463C2×D4×C17—41no—
464C2×D4×C17—41no—
465C2×D4×C17—41no—
466C2×D4×C17—41no—
467C22×C4×C17—41no—
468C22×C4×C17—41no—
469C22×C4×C17—41no—
470C22×C4×C17C2411yescharacteristic
471C22×C4×C17C2411yescharacteristic
472C22×C4×C17C2411yescharacteristic
473C22×C4×C17C2411yescharacteristic
474C22×C4×C17C2411yescharacteristic
475C22×C4×C17C2411yescharacteristic
476C22×C4×C17C2411yescharacteristic
477C22×C4×C17C2411yescharacteristic
478C22×C4×C17C2411yescharacteristic
479C22×C4×C17C2411yescharacteristic
480C2×C22⋊D17—22no—
481C2×C22⋊D17—22no—
482C2×C22⋊D17—22no—
483C2×C22⋊D17—22no—
484C2×C22⋊D17—22no—
485C2×C22⋊D17—22no—
486C2×C22⋊D17—22no—
487C2×C22⋊D17—22no—
488C2×C22⋊D17—22no—
489C2×C22⋊D17—22no—
490C2×C22⋊D17—22no—
491C2×C22⋊D17—22no—
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—
504C22×Dic17—41no—
505C22×Dic17—41no—
506C22×Dic17—41no—
507C22×Dic17C2411yescharacteristic
508C22×Dic17C2411yescharacteristic
509C22×Dic17C2411yescharacteristic
510C22×Dic17C2411yescharacteristic
511C22×Dic17C2411yescharacteristic
512C22×Dic17C2411yescharacteristic
513C22×Dic17C2411yescharacteristic
514C22×Dic17C2411yescharacteristic
515C22×Dic17C2411yescharacteristic
516C22×Dic17C2411yescharacteristic
517C22×Dic17C2411yescharacteristic
518C22×Dic17C2411yescharacteristic
519C2×C4×D17—22no—
520C2×C4×D17—22no—
521C2×C4×D17—22no—
522C2×C4×D17—22no—
523C2×C4×D17—41no—
524C2×C4×D17—41no—
525C2×C4×D17—41no—
526C2×C4×D17—41no—
527C2×C4×D17—41no—
528C2×C4×D17—41no—
529C2×C4×D17—41no—
530C2×C4×D17—41no—
531C2×Dic34—41no—
532C2×Dic34—41no—
533C2×Dic34—41no—
534C4⋊C4×C17—41no—
535C4⋊C4×C17—41no—
536C4⋊C4×C17—41no—
537C4⋊C4×C17—41no—
538C22⋊C4×C17—22no—
539C22⋊C4×C17—22no—
540C22⋊C4×C17—22no—
541C22⋊C4×C17—22no—
542C22⋊C4×C17—41no—
543C22⋊C4×C17—41no—
544C22⋊C4×C17—41no—
545C22⋊C4×C17—41no—
546C22⋊C4×C17—41no—
547C22⋊C4×C17—41no—
548C22⋊C4×C17—41no—
549C22⋊C4×C17—41no—
550C22⋊C4×C17—41no—
551C22⋊C4×C17—41no—
552C22⋊C4×C17—41no—
553C22⋊C4×C17—41no—
554C22⋊C4×C17—41no—
555C42×C17—41no—
556C22⋊Dic17—22no—
557C22⋊Dic17—22no—
558C22⋊Dic17—22no—
559C22⋊Dic17—22no—
560C22⋊Dic17—22no—
561C22⋊Dic17—22no—
562C22⋊Dic17—41no—
563C22⋊Dic17—41no—
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—
581#63227—22no—
582#63227—22no—
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—22no—
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—
608#63227—41no—
609#63227—41no—
610#63227—41no—
611#63227—41no—
612#63227—41no—
613#63227—41no—
614#63227—41no—
615#63227—41no—
616#63227—41no—
617C4⋊Dic17—41no—
618C4⋊Dic17—41no—
619C4⋊Dic17—41no—
620C4⋊Dic17—41no—
621#63225—41no—
622#63225—41no—
623#63225—41no—
624#63225—41no—
625#63225—41no—
626#63225—41no—
627#63225—41no—
628#63225—41no—
629#63225—41no—
630#63225—41no—
631C4×Dic17—41no—
632C4×Dic17—41no—
633C4×Dic17—41no—
634C4×Dic17—41no—
635C4×Dic17—41no—
636#36725—171nomaximal, Sylow
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—21no—
664C23×C17—21no—
665C23×C17—21no—
666C23×C17—21no—
667C23×C17—21no—
668C23×C17—21no—
669C23×C17—44no—
670C23×C17—44no—
671C23×C17—44no—
672C23×C17—44no—
673C23×C17—44no—
674C23×C17—44no—
675C23×C17—44no—
676C23×C17C2×#4112yes—
677C23×C17H(5,𝔽2)12yes—
678C23×C17H(5,𝔽2)12yes—
679C23×C17C2511yescharacteristic
680C22×D17—21no—
681C22×D17—21no—
682C22×D17—21no—
683C22×D17—21no—
684C22×D17—28no—
685C22×D17—28no—
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—21no—
697C22×D17—21no—
698C22×D17—21no—
699C22×D17—21no—
700C22×D17—21no—
701C22×D17—21no—
702C22×D17—21no—
703C22×D17—21no—
704C22×D17—28no—
705C22×D17—44no—
706C22×D17—44no—
707C22×D17—44no—
708C22×D17—44no—
709C22×D17—44no—
710C22×D17—44no—
711C22×D17—44no—
712C22×D17—44no—
713C22×D17—44no—
714C22×D17—44no—
715C22×D17—44no—
716C22×D17—44no—
717C22×D17—44no—
718C22×D17—44no—
719C22×D17—44no—
720C22×D17—44no—
721C22×D17—44no—
722C22×D17—44no—
723C22×D17—44no—
724C22×D17—44no—
725C22×D17—44no—
726C22×D17—44no—
727C22×D17—44no—
728C22×D17—44no—
729C22×D17—44no—
730C22×D17—44no—
731C22×D17—44no—
732C22×D17—44no—
733C22×D17—44no—
734C22×D17—44no—
735C22×D17—44no—
736C22×D17—44no—
737C22×D17—44no—
738C22×D17—44no—
739C22×D17—4128no—
740C22×D17—44no—
741C22×D17—44no—
742C22×D17—44no—
743C22×D17—44no—
744C22×D17—44no—
745C22×D17C2×#4112yes—
746C22×D17C2×#4112yes—
747C22×D17H(5,𝔽2)12yes—
748C22×D17H(5,𝔽2)12yes—
749C22×D17H(5,𝔽2)12yes—
750C22×D17H(5,𝔽2)12yes—
751D4×C17—82no—
752D4×C17—82no—
753D4×C17—82no—
754D4×C17—82no—
755D4×C17—82no—
756D4×C17—82no—
757D4×C17—82no—
758C2×C4×C17—21no—
759C2×C4×C17—21no—
760C2×C4×C17—21no—
761C2×C4×C17—21no—
762C2×C4×C17—21no—
763C2×C4×C17—21no—
764C2×C4×C17—21no—
765C2×C4×C17—21no—
766C2×C4×C17—21no—
767C2×C4×C17—21no—
768C2×C4×C17—21no—
769C2×C4×C17—21no—
770C2×C4×C17—21no—
771C2×C4×C17—21no—
772C2×C4×C17—21no—
773C2×C4×C17—21no—
774C2×C4×C17—21no—
775C2×C4×C17—21no—
776C2×C4×C17—21no—
777C2×C4×C17—21no—
778C2×C4×C17—21no—
779C2×C4×C17—21no—
780C2×C4×C17—21no—
781C2×C4×C17—21no—
782C2×C4×C17—21no—
783C2×C4×C17—21no—
784C2×C4×C17—21no—
785C2×C4×C17—21no—
786C2×C4×C17—21no—
787C2×C4×C17—21no—
788C2×C4×C17—82no—
789C22⋊D17—44no—
790C22⋊D17—44no—
791C22⋊D17—82no—
792C22⋊D17—82no—
793C22⋊D17—82no—
794C22⋊D17—82no—
795C22⋊D17—82no—
796C22⋊D17—82no—
797C2×Dic17—21no—
798C2×Dic17—21no—
799C2×Dic17—21no—
800C2×Dic17—21no—
801C2×Dic17—21no—
802C2×Dic17—21no—
803C2×Dic17—21no—
804C2×Dic17—21no—
805C2×Dic17—21no—
806C2×Dic17—21no—
807C2×Dic17—21no—
808C2×Dic17—21no—
809C2×Dic17—21no—
810C2×Dic17—21no—
811C2×Dic17—21no—
812C2×Dic17—21no—
813C2×Dic17—21no—
814C2×Dic17—21no—
815C2×Dic17—21no—
816C2×Dic17—21no—
817C2×Dic17—21no—
818C2×Dic17—21no—
819C2×Dic17—21no—
820C2×Dic17—21no—
821C2×Dic17—21no—
822C2×Dic17—21no—
823C2×Dic17—21no—
824C2×Dic17—21no—
825C2×Dic17—21no—
826C2×Dic17—21no—
827C2×Dic17—21no—
828C2×Dic17—21no—
829C2×Dic17—21no—
830C2×Dic17—21no—
831C2×Dic17—21no—
832C2×Dic17—21no—
833C2×Dic17—82no—
834C4×D17—82no—
835C4×D17—82no—
836C4×D17—82no—
837C4×D17—82no—
838Dic34—82no—
839#2846—171no—
840#2846—171no—
841#2736—171no—
842#2735—171no—
843#2735—171no—
844#2735—171no—
845#2697—171no—
846#2697—171no—
847#2685—171no—
848#2685—171no—
849#2685—171no—
850#2685—171no—
851#2684—171no—
852#2684—171no—
853#2678—171no—
854#2678D1711yescharacteristic, complemented
855#2670—171no—
856#2668—171no—
857#2626—171no—
858#2617—171no—
859#2480—171no—
860#2480—171no—
861#2472—171no—
862#2472—171no—
863#2424—171no—
864#2424—171no—
865#2418—171no—
866#2418—171no—
867#2321—171no—
868#2321—171no—
869C2×#379—171no—
870C22×C17—22no—
871C22×C17—22no—
872C22×C17—22no—
873C22×C17—22no—
874C22×C17—22no—
875C22×C17—22no—
876C22×C17—22no—
877C22×C17—22no—
878C22×C17—22no—
879C22×C17—416no—
880C22×C17—41no—
881C22×C17—41no—
882C22×C17—41no—
883C22×C17—41no—
884C22×C17—41no—
885C22×C17—41no—
886C22×C17—41no—
887C22×C17—41no—
888C22×C17—41no—
889C22×C17—41no—
890C22×C17—41no—
891C22×C17—41no—
892C22×C17—41no—
893C22×C17—41no—
894C22×C17—41no—
895C22×C17—41no—
896C22×C17—41no—
897C22×C17—41no—
898C22×C17—41no—
899C22×C17—41no—
900C22×C17—41no—
901C22×C17—41no—
902C22×C17—41no—
903C22×C17—41no—
904C22×C17—41no—
905C22×C17—41no—
906C22×C17C22×#4111yescharacteristic
907C22×C17C2×H(5,𝔽2)11yescharacteristic
908C22×C17C2×H(5,𝔽2)11yescharacteristic
909C22×C17C2×H(5,𝔽2)11yescharacteristic
910C22×C17C2×H(5,𝔽2)11yescharacteristic
911C22×C17C2×H(5,𝔽2)11yescharacteristic
912C22×C17C2×H(5,𝔽2)11yescharacteristic
913C2×D17—22no—
914C2×D17—22no—
915C2×D17—22no—
916C2×D17—22no—
917C2×D17—22no—
918C2×D17—22no—
919C2×D17—22no—
920C2×D17—22no—
921C2×D17—22no—
922C2×D17—22no—
923C2×D17—22no—
924C2×D17—22no—
925C2×D17—22no—
926C2×D17—22no—
927C2×D17—22no—
928C2×D17—416no—
929C2×D17—416no—
930C2×D17—416no—
931C2×D17—416no—
932C2×D17—416no—
933C2×D17—416no—
934C2×D17—41no—
935C2×D17—41no—
936C2×D17—41no—
937C2×D17—41no—
938C2×D17—41no—
939C2×D17—41no—
940C2×D17—41no—
941C2×D17—41no—
942C2×D17—41no—
943C2×D17—41no—
944C2×D17—41no—
945C2×D17—41no—
946C2×D17#53814yes—
947C4×C17—41no—
948C4×C17—41no—
949C4×C17—41no—
950C4×C17—41no—
951C4×C17—41no—
952C4×C17—41no—
953C4×C17—41no—
954C4×C17—41no—
955C4×C17—41no—
956C4×C17—41no—
957Dic17—41no—
958Dic17—41no—
959Dic17—41no—
960Dic17—41no—
961Dic17—41no—
962Dic17—41no—
963Dic17—41no—
964Dic17—41no—
965Dic17—41no—
966Dic17—41no—
967Dic17—41no—
968Dic17—41no—
969C26—171no—
970C2×#126—171no—
971C2×#126—171no—
972C2×#124—171no—
973C2×#124—171no—
974C2×#123—171no—
975C2×#123C2×D1711yescharacteristic, complemented
976C2×C22⋊Q8—171no—
977C2×#121—171no—
978C2×#121—171no—
979C2×#121C2×D1711yescharacteristic, complemented
980C2×#120—171no—
981C2×#120—171no—
982C2×#120—171no—
983C2×#120—171no—
984C2×#120—171no—
985C2×#120—171no—
986C2×#120—171no—
987C2×#120—171no—
988C2×#120—171no—
989C2×#120—171no—
990C2×#120—171no—
991C2×#120—171no—
992C2×#120C2×D1711yescharacteristic
993C2×#120C2×D1711yescharacteristic
994C2×C4×D4—171no—
995C2×C4×D4—171no—
996C22×C22⋊C4—171no—
997C22×C22⋊C4—171no—
998C22×C22⋊C4—171no—
999C22×C22⋊C4—171no—
1000C22×C22⋊C4—171no—
1001C22×C22⋊C4—171no—
1002#399—171no—
1003#399—171no—
1004#399—171no—
1005#399—171no—
1006#397—171no—
1007#397—171no—
1008#397—171no—
1009#397—171no—
1010#397—171no—
1011#397—171no—
1012#397—171no—
1013#397—171no—
1014#397—171no—
1015#397—171no—
1016#397—171no—
1017#397C2×D1711yescharacteristic, complemented
1018#396—171no—
1019#396—171no—
1020#396—171no—
1021#396—171no—
1022#396—171no—
1023#396—171no—
1024#396—171no—
1025#396C2×D1711yescharacteristic, complemented
1026#394—171no—
1027#394—171no—
1028#394—171no—
1029#394—171no—
1030#394—171no—
1031#394—171no—
1032#394—171no—
1033#394—171no—
1034#394—171no—
1035#394—171no—
1036#394—171no—
1037#394—171no—
1038#394—171no—
1039#394—171no—
1040#394C2×D1711yescharacteristic, complemented
1041#394C2×D1711yescharacteristic, complemented
1042#393—171no—
1043#393—171no—
1044#393—171no—
1045#393—171no—
1046#392—171no—
1047#392—171no—
1048#392C2×D1711yescharacteristic, complemented
1049#392C2×D1711yescharacteristic, complemented
1050#390—171no—
1051#390—171no—
1052#390—171no—
1053#390—171no—
1054#390—171no—
1055#390—171no—
1056#390C2×D1711yescharacteristic, complemented
1057#390C2×D1711yescharacteristic, complemented
1058#388—171no—
1059#388—171no—
1060#388—171no—
1061#388—171no—
1062#388—171no—
1063#388—171no—
1064#388—171no—
1065#388—171no—
1066#388—171no—
1067#388—171no—
1068#388—171no—
1069#388—171no—
1070#388—171no—
1071#388—171no—
1072#388—171no—
1073#388—171no—
1074#388—171no—
1075#388—171no—
1076#388—171no—
1077#388—171no—
1078#388—171no—
1079#388—171no—
1080#388—171no—
1081#388C2×D1711yescharacteristic, complemented
1082#386—171no—
1083#386—171no—
1084#386—171no—
1085#386—171no—
1086#386—171no—
1087#386—171no—
1088#386—171no—
1089#386—171no—
1090#386—171no—
1091#386—171no—
1092#386—171no—
1093#386C2×D1711yescharacteristic, complemented
1094#385—171no—
1095#385—171no—
1096#385—171no—
1097#385—171no—
1098#380—171no—
1099#380—171no—
1100#379—171no—
1101#379—171no—
1102#379—171no—
1103#379—171no—
1104#379—171no—
1105#379—171no—
1106#379—171no—
1107#379—171no—
1108#379—171no—
1109#379—171no—
1110#379—171no—
1111#379—171no—
1112#379—171no—
1113#379—171no—
1114#379—171no—
1115#379—171no—
1116#379—171no—
1117#379—171no—
1118#379—171no—
1119#379—171no—
1120#379—171no—
1121#379C2×D1711yescharacteristic
1122C4×C22⋊C4—171no—
1123C4×C22⋊C4—171no—
1124C2×C17—42no—
1125C2×C17—42no—
1126C2×C17—42no—
1127C2×C17—81no—
1128C2×C17—81no—
1129C2×C17C2×#53811yescharacteristic
1130C2×C17#349011yescharacteristic
1131C2×C17#349011yescharacteristic
1132C2×C17#353211yescharacteristic
1133C2×C17#353211yescharacteristic
1134C2×C17#353211yescharacteristic
1135C2×C17#353211yescharacteristic
1136D17—24no—
1137D17—42no—
1138D17—42no—
1139D17—42no—
1140C25—171no—
1141C25—171no—
1142C25—171no—
1143C25—171no—
1144C25—171no—
1145C25—171no—
1146C25—344no—
1147C25—682no—
1148C25—682no—
1149C25—682no—
1150C25—682no—
1151C25—682no—
1152C25—682no—
1153C25C22×D1711yescharacteristic
1154C22×Q8—171no—
1155C22×D4—171no—
1156C22×D4—171no—
1157C22×D4—171no—
1158C22×D4—171no—
1159C22×D4—171no—
1160C22×D4—171no—
1161C22×D4—171no—
1162C22×D4—171no—
1163C22×D4C22×D1711yescharacteristic
1164C22×D4C22×D1711yescharacteristic
1165C22×D4C22×D1711yescharacteristic
1166C22×D4C22×D1711yescharacteristic
1167C22×D4C22×D1711yescharacteristic
1168C22×D4C22×D1711yescharacteristic
1169C22×D4C22×D1711yescharacteristic, complemented
1170C23×C4—171no—
1171C23×C4—171no—
1172C23×C4—171no—
1173C23×C4—171no—
1174C23×C4—171no—
1175C23×C4C22×D1711yescharacteristic, complemented
1176#126—682no—
1177#126—682no—
1178#124—682no—
1179#124—682no—
1180#123—42no—
1181#123—682no—
1182C22⋊Q8—682no—
1183#121—42no—
1184#121—682no—
1185#121—682no—
1186#120—42no—
1187#120—42no—
1188#120—344no—
1189#120—344no—
1190#120—682no—
1191#120—682no—
1192#120—682no—
1193#120—682no—
1194#120—682no—
1195#120—682no—
1196#120—682no—
1197#120—682no—
1198#120—682no—
1199#120—682no—
1200C4×D4—682no—
1201C4×D4—682no—
1202C2×C4⋊C4—171no—
1203C2×C4⋊C4—171no—
1204C2×C4⋊C4—171no—
1205C2×C4⋊C4—171no—
1206C2×C4⋊C4—171no—
1207C2×C4⋊C4—171no—
1208C2×C4⋊C4—171no—
1209C2×C4⋊C4—171no—
1210C2×C4⋊C4—171no—
1211C2×C4⋊C4—171no—
1212C2×C4⋊C4—171no—
1213C2×C4⋊C4—171no—
1214C2×C4⋊C4—171no—
1215C2×C4⋊C4—171no—
1216C2×C4⋊C4C22×D1711yescharacteristic, complemented
1217C2×C4⋊C4C22×D1711yescharacteristic, complemented
1218C2×C4⋊C4C22×D1711yescharacteristic, complemented
1219C2×C4⋊C4C22×D1711yescharacteristic, complemented
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—171no—
1254C2×C22⋊C4—171no—
1255C2×C22⋊C4—171no—
1256C2×C22⋊C4—171no—
1257C2×C22⋊C4—171no—
1258C2×C22⋊C4—171no—
1259C2×C22⋊C4—171no—
1260C2×C22⋊C4—171no—
1261C2×C22⋊C4—171no—
1262C2×C22⋊C4—171no—
1263C2×C22⋊C4—171no—
1264C2×C22⋊C4—171no—
1265C2×C22⋊C4—171no—
1266C2×C22⋊C4—171no—
1267C2×C22⋊C4—171no—
1268C2×C22⋊C4—171no—
1269C2×C22⋊C4—171no—
1270C2×C22⋊C4—171no—
1271C2×C22⋊C4—171no—
1272C2×C22⋊C4—171no—
1273C2×C22⋊C4—171no—
1274C2×C22⋊C4—171no—
1275C2×C22⋊C4—171no—
1276C2×C22⋊C4—171no—
1277C2×C22⋊C4—171no—
1278C2×C22⋊C4—171no—
1279C2×C22⋊C4—171no—
1280C2×C22⋊C4—171no—
1281C2×C22⋊C4—682no—
1282C2×C22⋊C4—682no—
1283C2×C22⋊C4—682no—
1284C2×C22⋊C4—682no—
1285C2×C22⋊C4—682no—
1286C2×C22⋊C4—682no—
1287C2×C22⋊C4C22×D1711yescharacteristic
1288C2×C22⋊C4C22×D1711yescharacteristic
1289C2×C22⋊C4C22×D1711yescharacteristic
1290C2×C22⋊C4C22×D1711yescharacteristic
1291C2×C22⋊C4C22×D1711yescharacteristic
1292C2×C22⋊C4C22×D1711yescharacteristic
1293C2×C22⋊C4C22×D1711yescharacteristic
1294C2×C22⋊C4C22×D1711yescharacteristic
1295C2×C22⋊C4C22×D1711yescharacteristic
1296C2×C22⋊C4C22×D1711yescharacteristic
1297C2×C22⋊C4C22×D1711yescharacteristic
1298C2×C22⋊C4C22×D1711yescharacteristic
1299C2×C22⋊C4C22×D1711yescharacteristic, complemented
1300C2×C22⋊C4C22×D1711yescharacteristic, complemented
1301C2×C22⋊C4C22×D1711yescharacteristic, complemented
1302C2×C22⋊C4C22×D1711yescharacteristic, complemented
1303C2×C22⋊C4C22×D1711yescharacteristic, complemented
1304C2×C42—171no—
1305C2×C42—171no—
1306C2×C42—171no—
1307C2×C42—171no—
1308C2×C42—171no—
1309C2×C42C22×D1711yescharacteristic, complemented
1310#95—171no—
1311#95—171no—
1312#95—171no—
1313#95—171no—
1314#95—171no—
1315#95—171no—
1316#95—171no—
1317#95—171no—
1318#95—171no—
1319#95—171no—
1320#95—171no—
1321#95—171no—
1322#95—171no—
1323#95—171no—
1324#95—171no—
1325#95—171no—
1326#95—171no—
1327#95—171no—
1328#95—171no—
1329#95—171no—
1330#95C22×D1711yescharacteristic, complemented
1331#95C22×D1711yescharacteristic, complemented
1332#95C22×D1711yescharacteristic, complemented
1333#95C22×D1711yescharacteristic, complemented
1334C17#3672511yescharacteristic, complemented, Sylow
1335C24—22no—
1336C24—22no—
1337C24—22no—
1338C24—41no—
1339C24—41no—
1340C24—41no—
1341C24—41no—
1342C24—171no—
1343C24—171no—
1344C24—171no—
1345C24—171no—
1346C24—174no—
1347C24—342no—
1348C24—342no—
1349C24—342no—
1350C24—342no—
1351C24—342no—
1352C24—342no—
1353C24—342no—
1354C24—342no—
1355C24—342no—
1356C24—342no—
1357C24—342no—
1358C24—342no—
1359C24—342no—
1360C24—342no—
1361C24—342no—
1362C24—342no—
1363C24—342no—
1364C24—342no—
1365C24—342no—
1366C24—342no—
1367C24—342no—
1368C24—681no—
1369C24—681no—
1370C24—681no—
1371C24—681no—
1372C24—681no—
1373C24—681no—
1374C24—681no—
1375C24—681no—
1376C24—681no—
1377C24—681no—
1378C24—681no—
1379C24—681no—
1380C24—681no—
1381C24—681no—
1382C24—681no—
1383C24—681no—
1384C24—681no—
1385C24—681no—
1386C24—681no—
1387C24—681no—
1388C24—6816no—
1389C24—6816no—
1390C24—6816no—
1391C24—6816no—
1392C24—6816no—
1393C24—6816no—
1394C24—6816no—
1395C24C23×D1711yescharacteristic
1396C24C23×D1711yescharacteristic
1397C24C23×D1711yescharacteristic
1398C24C23×D1711yescharacteristic
1399C24C23×D1711yescharacteristic
1400C2×Q8—681no—
1401C2×Q8—681no—
1402C2×Q8—681no—
1403C2×D4—22no—
1404C2×D4—22no—
1405C2×D4—22no—
1406C2×D4—22no—
1407C2×D4—22no—
1408C2×D4—22no—
1409C2×D4—41no—
1410C2×D4—41no—
1411C2×D4—41no—
1412C2×D4—41no—
1413C2×D4—41no—
1414C2×D4—41no—
1415C2×D4—41no—
1416C2×D4—41no—
1417C2×D4—41no—
1418C2×D4—41no—
1419C2×D4—41no—
1420C2×D4—41no—
1421C2×D4—41no—
1422C2×D4—41no—
1423C2×D4—41no—
1424C2×D4—342no—
1425C2×D4—342no—
1426C2×D4—342no—
1427C2×D4—342no—
1428C2×D4—342no—
1429C2×D4—342no—
1430C2×D4—342no—
1431C2×D4—342no—
1432C2×D4—342no—
1433C2×D4—342no—
1434C2×D4—342no—
1435C2×D4—342no—
1436C2×D4—681no—
1437C2×D4—681no—
1438C2×D4—681no—
1439C2×D4—681no—
1440C2×D4—681no—
1441C2×D4—681no—
1442C2×D4—681no—
1443C2×D4—681no—
1444C2×D4—681no—
1445C2×D4—681no—
1446C2×D4—681no—
1447C2×D4—681no—
1448C22×C4—41no—
1449C22×C4—41no—
1450C22×C4—41no—
1451C22×C4—171no—
1452C22×C4—171no—
1453C22×C4—171no—
1454C22×C4—171no—
1455C22×C4—171no—
1456C22×C4—171no—
1457C22×C4—171no—
1458C22×C4—171no—
1459C22×C4—171no—
1460C22×C4—171no—
1461C22×C4—171no—
1462C22×C4—171no—
1463C22×C4—342no—
1464C22×C4—342no—
1465C22×C4—342no—
1466C22×C4—342no—
1467C22×C4—681no—
1468C22×C4—681no—
1469C22×C4—681no—
1470C22×C4—681no—
1471C22×C4—681no—
1472C22×C4—681no—
1473C22×C4—681no—
1474C22×C4—681no—
1475C22×C4—681no—
1476C22×C4—681no—
1477C22×C4—681no—
1478C22×C4C23×D1711yescharacteristic
1479C22×C4C23×D1711yescharacteristic
1480C22×C4C23×D1711yescharacteristic
1481C22×C4C23×D1711yescharacteristic
1482C22×C4C23×D1711yescharacteristic
1483C22×C4C23×D1711yescharacteristic
1484C22×C4C23×D1711yescharacteristic
1485C22×C4C23×D1711yescharacteristic
1486C22×C4C23×D1711yescharacteristic
1487C22×C4C23×D1711yescharacteristic
1488C4⋊C4—41no—
1489C4⋊C4—41no—
1490C4⋊C4—41no—
1491C4⋊C4—41no—
1492C4⋊C4—681no—
1493C4⋊C4—681no—
1494C4⋊C4—681no—
1495C4⋊C4—681no—
1496C4⋊C4—681no—
1497C4⋊C4—681no—
1498C4⋊C4—681no—
1499C4⋊C4—681no—
1500C4⋊C4—681no—
1501C4⋊C4—681no—
1502C4⋊C4—681no—
1503C4⋊C4—681no—
1504C4⋊C4—681no—
1505C4⋊C4—681no—
1506C22⋊C4—22no—
1507C22⋊C4—22no—
1508C22⋊C4—22no—
1509C22⋊C4—22no—
1510C22⋊C4—41no—
1511C22⋊C4—41no—
1512C22⋊C4—41no—
1513C22⋊C4—41no—
1514C22⋊C4—41no—
1515C22⋊C4—41no—
1516C22⋊C4—41no—
1517C22⋊C4—41no—
1518C22⋊C4—41no—
1519C22⋊C4—41no—
1520C22⋊C4—41no—
1521C22⋊C4—41no—
1522C22⋊C4—41no—
1523C22⋊C4—342no—
1524C22⋊C4—342no—
1525C22⋊C4—342no—
1526C22⋊C4—342no—
1527C22⋊C4—342no—
1528C22⋊C4—342no—
1529C22⋊C4—342no—
1530C22⋊C4—342no—
1531C22⋊C4—342no—
1532C22⋊C4—342no—
1533C22⋊C4—342no—
1534C22⋊C4—342no—
1535C22⋊C4—342no—
1536C22⋊C4—342no—
1537C22⋊C4—342no—
1538C22⋊C4—342no—
1539C22⋊C4—342no—
1540C22⋊C4—342no—
1541C22⋊C4—342no—
1542C22⋊C4—342no—
1543C22⋊C4—342no—
1544C22⋊C4—342no—
1545C22⋊C4—681no—
1546C22⋊C4—681no—
1547C22⋊C4—681no—
1548C22⋊C4—681no—
1549C22⋊C4—681no—
1550C22⋊C4—681no—
1551C22⋊C4—681no—
1552C22⋊C4—681no—
1553C22⋊C4—681no—
1554C22⋊C4—681no—
1555C22⋊C4—681no—
1556C22⋊C4—681no—
1557C22⋊C4—681no—
1558C22⋊C4—681no—
1559C22⋊C4—681no—
1560C22⋊C4—681no—
1561C22⋊C4—681no—
1562C22⋊C4—681no—
1563C22⋊C4—681no—
1564C22⋊C4—681no—
1565C22⋊C4—681no—
1566C22⋊C4—681no—
1567C22⋊C4—681no—
1568C22⋊C4—681no—
1569C22⋊C4—681no—
1570C22⋊C4—681no—
1571C22⋊C4—681no—
1572C22⋊C4—681no—
1573C22⋊C4—681no—
1574C22⋊C4—681no—
1575C22⋊C4—681no—
1576C22⋊C4—681no—
1577C22⋊C4—681no—
1578C22⋊C4—681no—
1579C22⋊C4—681no—
1580C22⋊C4—681no—
1581C22⋊C4—681no—
1582C22⋊C4—681no—
1583C22⋊C4—681no—
1584C42—41no—
1585C42—681no—
1586C42—681no—
1587C42—681no—
1588C42—681no—
1589C42—681no—
1590C23—21no—
1591C23—21no—
1592C23—21no—
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—21no—
1598C23—21no—
1599C23—21no—
1600C23—21no—
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—21no—
1606C23—21no—
1607C23—21no—
1608C23—21no—
1609C23—21no—
1610C23—21no—
1611C23—21no—
1612C23—21no—
1613C23—21no—
1614C23—21no—
1615C23—21no—
1616C23—21no—
1617C23—21no—
1618C23—21no—
1619C23—21no—
1620C23—21no—
1621C23—21no—
1622C23—44no—
1623C23—44no—
1624C23—44no—
1625C23—44no—
1626C23—44no—
1627C23—44no—
1628C23—44no—
1629C23—172no—
1630C23—172no—
1631C23—172no—
1632C23—172no—
1633C23—172no—
1634C23—172no—
1635C23—348no—
1636C23—348no—
1637C23—348no—
1638C23—341no—
1639C23—341no—
1640C23—341no—
1641C23—341no—
1642C23—341no—
1643C23—341no—
1644C23—341no—
1645C23—341no—
1646C23—341no—
1647C23—341no—
1648C23—341no—
1649C23—341no—
1650C23—341no—
1651C23—341no—
1652C23—341no—
1653C23—341no—
1654C23—341no—
1655C23—341no—
1656C23—341no—
1657C23—341no—
1658C23—341no—
1659C23—341no—
1660C23—684no—
1661C23—684no—
1662C23—684no—
1663C23—684no—
1664C23—684no—
1665C23—684no—
1666C23—684no—
1667C23—684no—
1668C23—684no—
1669C23—684no—
1670C23—684no—
1671C23—684no—
1672C23—684no—
1673C23—684no—
1674C23—684no—
1675C23—684no—
1676C23—684no—
1677C23—684no—
1678C23—684no—
1679C23—684no—
1680C23—684no—
1681C23—684no—
1682C23—684no—
1683C23—684no—
1684C23—684no—
1685C23—684no—
1686C23—684no—
1687C23—684no—
1688C23—684no—
1689C23—684no—
1690C23—684no—
1691C23—684no—
1692C23—684no—
1693C23—684no—
1694C23—684no—
1695C23—684no—
1696C23—68128no—
1697C23—684no—
1698C23—684no—
1699C23—684no—
1700C23#1058769112yes—
1701C23#1058769112yes—
1702C23#41×D1712yes—
1703C23C24×D1711yescharacteristic
1704Q8—1362no—
1705D4—82no—
1706D4—82no—
1707D4—82no—
1708D4—82no—
1709D4—82no—
1710D4—82no—
1711D4—82no—
1712D4—684no—
1713D4—684no—
1714D4—1362no—
1715D4—1362no—
1716D4—1362no—
1717D4—1362no—
1718D4—1362no—
1719D4—1362no—
1720C2×C4—21no—
1721C2×C4—21no—
1722C2×C4—21no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—82no—
1751C2×C4—341no—
1752C2×C4—341no—
1753C2×C4—341no—
1754C2×C4—341no—
1755C2×C4—341no—
1756C2×C4—341no—
1757C2×C4—341no—
1758C2×C4—341no—
1759C2×C4—341no—
1760C2×C4—341no—
1761C2×C4—341no—
1762C2×C4—341no—
1763C2×C4—341no—
1764C2×C4—341no—
1765C2×C4—341no—
1766C2×C4—341no—
1767C2×C4—341no—
1768C2×C4—341no—
1769C2×C4—341no—
1770C2×C4—341no—
1771C2×C4—341no—
1772C2×C4—341no—
1773C2×C4—341no—
1774C2×C4—341no—
1775C2×C4—341no—
1776C2×C4—341no—
1777C2×C4—341no—
1778C2×C4—341no—
1779C2×C4—341no—
1780C2×C4—341no—
1781C2×C4—341no—
1782C2×C4—341no—
1783C2×C4—341no—
1784C2×C4—341no—
1785C2×C4—341no—
1786C2×C4—341no—
1787C2×C4—1362no—
1788C2×C4—1362no—
1789C2×C4—1362no—
1790C2×C4—1362no—
1791C2×C4—1362no—
1792C22—22no—
1793C22—22no—
1794C22—22no—
1795C22—22no—
1796C22—22no—
1797C22—22no—
1798C22—22no—
1799C22—22no—
1800C22—22no—
1801C22—416no—
1802C22—41no—
1803C22—41no—
1804C22—41no—
1805C22—41no—
1806C22—41no—
1807C22—41no—
1808C22—41no—
1809C22—41no—
1810C22—41no—
1811C22—41no—
1812C22—41no—
1813C22—41no—
1814C22—41no—
1815C22—41no—
1816C22—41no—
1817C22—41no—
1818C22—41no—
1819C22—41no—
1820C22—41no—
1821C22—41no—
1822C22—41no—
1823C22—41no—
1824C22—41no—
1825C22—41no—
1826C22—41no—
1827C22—41no—
1828C22—174no—
1829C22—342no—
1830C22—342no—
1831C22—342no—
1832C22—342no—
1833C22—342no—
1834C22—342no—
1835C22—342no—
1836C22—342no—
1837C22—342no—
1838C22—342no—
1839C22—342no—
1840C22—342no—
1841C22—342no—
1842C22—342no—
1843C22—342no—
1844C22—6816no—
1845C22—6816no—
1846C22—6816no—
1847C22—6816no—
1848C22—6816no—
1849C22—6816no—
1850C22—681no—
1851C22—681no—
1852C22—681no—
1853C22—681no—
1854C22—681no—
1855C22—681no—
1856C22—681no—
1857C22—681no—
1858C22—681no—
1859C22—681no—
1860C22—681no—
1861C22—681no—
1862C22C2×#41×D1711yescharacteristic
1863C22H(5,𝔽2)×D1711yescharacteristic
1864C22H(5,𝔽2)×D1711yescharacteristic
1865C22H(5,𝔽2)×D1711yescharacteristic
1866C22H(5,𝔽2)×D1711yescharacteristic
1867C22C2×#1058769111yescharacteristic
1868C22C2×#1058769111yescharacteristic
1869C4—41no—
1870C4—41no—
1871C4—41no—
1872C4—41no—
1873C4—41no—
1874C4—41no—
1875C4—41no—
1876C4—41no—
1877C4—41no—
1878C4—41no—
1879C4—681no—
1880C4—681no—
1881C4—681no—
1882C4—681no—
1883C4—681no—
1884C4—681no—
1885C4—681no—
1886C4—681no—
1887C4—681no—
1888C4—681no—
1889C4—681no—
1890C4—681no—
1891C2—42no—
1892C2—42no—
1893C2—42no—
1894C2—81no—
1895C2—81no—
1896C2—344no—
1897C2—682no—
1898C2—682no—
1899C2—682no—
1900C2D17×#53811yescharacteristic
1901C2#1454246611yescharacteristic
1902C2#1454246611yescharacteristic
1903C2#1454293411yescharacteristic
1904C2#1454293611yescharacteristic
1905C2#1454293711yescharacteristic
1906C2#1454293811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D17
commutator, socle, cosocleC23×C17C25
FittingC17×#2678C2
hypercenter#2678D17
hypocenterC17#36725
LCSG ▷ C23×C17 ▷ C17
UCSC1 ◁ C23 ◁ #2678

Complements

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

NH ≅ G/Ntype
1. #14537060C2semidirect
2. #14537060C2semidirect
3. #14535831C2semidirect
4. #14535827C2semidirect
5. #14535821C2semidirect
6. #14535820C2semidirect
7. #14535350C2semidirect
8. #14535343C2semidirect
9. #14535181C2semidirect
10. #14535176C2semidirect
11. #14535176C2semidirect
12. #14535171C2semidirect
13. #14535162C2semidirect
14. #14535161C2semidirect
15. #14535102C2semidirect
16. #14535009C2semidirect
17. #14534987C2semidirect
18. #14534594C2semidirect
19. #14534517C2semidirect
20. #14533034C2semidirect
21. #14533023C2semidirect
22. #14532916C2semidirect
23. #14532905C2semidirect
24. #14532323C2semidirect
25. #14532317C2semidirect
26. #14532243C2semidirect
27. #14532241C2semidirect
28. #14531443C2semidirect
29. #14531440C2semidirect
30. D17×#379C2semidirect
31. C17×#2678C2semidirect
33. C2×#10587562C22semidirect
34. C2×#10587565C22semidirect
35. C2×#10587622C22semidirect
36. C2×#10587571C22semidirect
37. C2×#10587572C22semidirect
38. C2×#10587582C22semidirect
39. C2×#10587625C22semidirect
40. C2×#10587624C22semidirect
53. C2×C4×C22⋊D17C22semidirect
54. C2×#10587567C22semidirect
61. #11762745C22semidirect
62. #11762745C22semidirect
63. #11762744C22semidirect
64. #11762744C22semidirect
65. #11762738C22semidirect
66. #11762738C22semidirect
67. #11762737C22semidirect
68. #11762737C22semidirect
69. #11762737C22semidirect
70. #11762737C22semidirect
71. #11762736C22semidirect
72. #11762736C22semidirect
73. #11762735C22semidirect
74. #11762735C22semidirect
75. #11762734C22semidirect
76. #11762732C22semidirect
77. #11762732C22semidirect
78. #11762732C22semidirect
79. #11762731C22semidirect
80. #11762731C22semidirect
81. #11762731C22semidirect
82. #11762731C22semidirect
83. #11762725C22semidirect
84. #11762725C22semidirect
85. #11762724C22semidirect
86. #11762724C22semidirect
87. #11762724C22semidirect
88. #11762724C22semidirect
89. #11762724C22semidirect
90. #11762724C22semidirect
91. #11762723C22semidirect
92. #11762723C22semidirect
93. #11762723C22semidirect
94. #11762723C22semidirect
95. #11762723C22semidirect
96. #11762723C22semidirect
97. #11762722C22semidirect
98. #11762722C22semidirect
99. #11762721C22semidirect
100. #11762721C22semidirect
101. #11762717C22semidirect
102. #11762717C22semidirect
103. #11762712C22semidirect
104. #11762712C22semidirect
105. #11762709C22semidirect
106. #11762709C22semidirect
107. #11762709C22semidirect
108. #11762709C22semidirect
109. #11762703C22semidirect
110. #11762703C22semidirect
111. #11762703C22semidirect
112. #11762702C22semidirect
113. #11762702C22semidirect
114. #11762702C22semidirect
115. #11762701C22semidirect
116. #11762701C22semidirect
117. #11762700C22semidirect
118. #11762700C22semidirect
119. #11762699C22semidirect
120. #11762699C22semidirect
121. #11762699C22semidirect
122. #11762699C22semidirect
123. #11762698C22semidirect
124. #11762698C22semidirect
125. #11762698C22semidirect
126. #11762698C22semidirect
127. #11762697C22semidirect
128. #11762697C22semidirect
129. #11762697C22semidirect
130. #11762697C22semidirect
131. #11762697C22semidirect
132. #11762689C22semidirect
133. #11762689C22semidirect
134. #11762689C22semidirect
135. #11762688C22semidirect
136. #11762688C22semidirect
137. #11762688C22semidirect
138. #11762686C22semidirect
139. #11762685C22semidirect
140. #11762685C22semidirect
141. #11762685C22semidirect
142. #11762685C22semidirect
143. #11762683C22semidirect
144. #11762683C22semidirect
145. #11762680C22semidirect
146. #11762680C22semidirect
147. #11762668C22semidirect
148. #11762666C22semidirect
170. C4×#63227C22semidirect
171. #11762656C22semidirect
172. C2×C17×#123C22semidirect
173. C2×C17×#121C22semidirect
176. C17×#397C22semidirect
177. C17×#396C22semidirect
178. C17×#394C22semidirect
179. C17×#394C22semidirect
180. C17×#392C22semidirect
181. C17×#392C22semidirect
182. C17×#390C22semidirect
183. C17×#390C22semidirect
184. C17×#388C22semidirect
185. C17×#386C22semidirect
207. C22×D4×C17C23semidirect
208. C23×C4×C17C23semidirect
217. C23×Dic17C23semidirect
222. C22×Dic34C23semidirect
227. C2×C4⋊C4×C17C23semidirect
228. C2×C4⋊C4×C17C23semidirect
229. C2×C4⋊C4×C17C23semidirect
230. C2×C4⋊C4×C17C23semidirect
243. C2×C22⋊C4×C17C23semidirect
244. C2×C22⋊C4×C17C23semidirect
245. C2×C22⋊C4×C17C23semidirect
246. C2×C22⋊C4×C17C23semidirect
247. C2×C22⋊C4×C17C23semidirect
248. C2×C42×C17C23semidirect
267. C2×C22⋊Dic17C23semidirect
268. C2×C22⋊Dic17C23semidirect
269. C2×C22⋊Dic17C23semidirect
270. C2×C22⋊Dic17C23semidirect
271. C2×C22⋊Dic17C23semidirect
272. C2×C22⋊Dic17C23semidirect
273. C2×C22⋊Dic17C23semidirect
326. C2×C4⋊Dic17C23semidirect
327. C2×C4⋊Dic17C23semidirect
328. C2×C4⋊Dic17C23semidirect
329. C2×C4⋊Dic17C23semidirect
330. C2×#63225C23semidirect
331. C2×#63225C23semidirect
332. C2×#63225C23semidirect
333. C2×#63225C23semidirect
334. C2×#63225C23semidirect
335. C2×#63225C23semidirect
336. C2×#63225C23semidirect
337. C2×#63225C23semidirect
338. C2×#63225C23semidirect
339. C2×#63225C23semidirect
340. C2×C4×Dic17C23semidirect
341. C2×C4×Dic17C23semidirect
342. C2×C4×Dic17C23semidirect
343. C2×C4×Dic17C23semidirect
344. C2×C4×Dic17C23semidirect
357. C17×#95C23semidirect
358. C17×#95C23semidirect
359. C17×#95C23semidirect
360. C17×#95C23semidirect
361. #10587502C23semidirect
362. #10587502C23semidirect
363. #10587502C23semidirect
364. #10587502C23semidirect
365. #10587502C23semidirect
366. #10587502C23semidirect
367. #10587502C23semidirect
368. #10587502C23semidirect
369. #10587502C23semidirect
370. #10587502C23semidirect
371. #10587502C23semidirect
372. #10587502C23semidirect
373. #10587502C23semidirect
374. #10587502C23semidirect
375. #10587502C23semidirect
376. #10587502C23semidirect
377. #10587502C23semidirect
378. #10587502C23semidirect
379. #10587502C23semidirect
380. #10587502C23semidirect
854. #2678D17semidirect
975. C2×#123C2×D17semidirect
979. C2×#121C2×D17semidirect
1017. #397C2×D17semidirect
1025. #396C2×D17semidirect
1040. #394C2×D17semidirect
1041. #394C2×D17semidirect
1048. #392C2×D17semidirect
1049. #392C2×D17semidirect
1056. #390C2×D17semidirect
1057. #390C2×D17semidirect
1081. #388C2×D17semidirect
1093. #386C2×D17semidirect
1169. C22×D4C22×D17semidirect
1175. C23×C4C22×D17semidirect
1216. C2×C4⋊C4C22×D17semidirect
1217. C2×C4⋊C4C22×D17semidirect
1218. C2×C4⋊C4C22×D17semidirect
1219. C2×C4⋊C4C22×D17semidirect
1299. C2×C22⋊C4C22×D17semidirect
1300. C2×C22⋊C4C22×D17semidirect
1301. C2×C22⋊C4C22×D17semidirect
1302. C2×C22⋊C4C22×D17semidirect
1303. C2×C22⋊C4C22×D17semidirect
1309. C2×C42C22×D17semidirect
1330. #95C22×D17semidirect
1331. #95C22×D17semidirect
1332. #95C22×D17semidirect
1333. #95C22×D17semidirect
1334. C17#36725semidirect

Maximal subgroups

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

subgroupindex
#145370602
#145358312
#145358272
#145358212
#145358202
#145353502
#145353432
#145351812
#145351762
#145351712
#145351622
#145351612
#145351022
#145350092
#145349872
#145345942
#145345172
#145330342
#145330232
#145329162
#145329052
#145323232
#145323172
#145322432
#145322412
#145314432
#145314402
D17×#3792
C17×#26782
#3672517