Finite Group Databasebeta

← #17241331

Subgroups — #17241331

Order 4352.

2970 conjugacy classes of subgroups.

The subgroup lattice has 1926 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11763369C211yesmaximal, characteristic, complemented
2C2×#123×D17C211yesmaximal, characteristic, complemented
3#14537065C211yesmaximal, characteristic, complemented
4#14537063C211yesmaximal, characteristic, complemented
5#14535479C211yesmaximal, characteristic, complemented
6#14535478C211yesmaximal, characteristic, complemented
7#14535477C211yesmaximal, characteristic, complemented
8#14535476C211yesmaximal, characteristic, complemented
9#14535470C211yesmaximal, characteristic, complemented
10#14535468C211yesmaximal, characteristic, complemented
11#14535467C211yesmaximal, characteristic, complemented
12#14535465C211yesmaximal, characteristic, complemented
13#14535116C211yesmaximal, characteristic, complemented
14#14535113C211yesmaximal, characteristic, complemented
15#14535112C211yesmaximal, characteristic, complemented
16#14535109C211yesmaximal, characteristic, complemented
17#14535106C211yesmaximal, characteristic, complemented
18#14535105C211yesmaximal, characteristic, complemented
19#14535102C211yesmaximal, characteristic, complemented
20#14534531C211yesmaximal, characteristic, complemented
21#14534525C211yesmaximal, characteristic, complemented
22#14533713C211yesmaximal, characteristic, complemented
23#14533709C211yesmaximal, characteristic, complemented
24#14533275C211yesmaximal, characteristic, complemented
25#14533271C211yesmaximal, characteristic, complemented
26#14532109C211yesmaximal, characteristic, complemented
27#14532106C211yesmaximal, characteristic, complemented
28#14532095C211yesmaximal, characteristic, complemented
29#14532093C211yesmaximal, characteristic, complemented
30#14531378C211yesmaximal, characteristic, complemented
31C17×#2678C211yesmaximal, characteristic, complemented
32C23×C22⋊D17C2211yescharacteristic
33C22×D4×D17C2211yescharacteristic
34C22×D4×D17C2211yescharacteristic
35C23×C4×D17C2211yescharacteristic, complemented
36#11763369—28no—
37C2×#10587580C2211yescharacteristic, complemented
38C2×#10587580C2211yescharacteristic, complemented
39C2×#10587580C2211yescharacteristic, complemented
40C2×#10587572C2211yescharacteristic, complemented
41C2×#10587572C2211yescharacteristic, complemented
42C2×#10587615C2211yescharacteristic, complemented
43C2×#10587569C2211yescharacteristic, complemented
44C2×#10587569C2211yescharacteristic, complemented
45C2×#10587569C2211yescharacteristic, complemented
46C2×#10587569C2211yescharacteristic, complemented
47C2×#10587569C2211yescharacteristic, complemented
48C2×#10587569C2211yescharacteristic, complemented
49C2×#10587569C2211yescharacteristic, complemented
50C2×#10587621C2211yescharacteristic, complemented
51C2×#10587621C2211yescharacteristic, complemented
52#123×D17—28no—
53C2×#10587570C2211yescharacteristic
54C2×#10587570C2211yescharacteristic
55C2×#10587570C2211yescharacteristic, complemented
56C2×#10587625C2211yescharacteristic, complemented
57C2×#10587624C2211yescharacteristic
58C2×#10587624C2211yescharacteristic
59C2×#10587624C2211yescharacteristic, complemented
60C2×#10587568C2211yescharacteristic, complemented
61C2×#10587568C2211yescharacteristic, complemented
62C2×#10587639C2211yescharacteristic, complemented
63C2×#10587639C2211yescharacteristic, complemented
64C2×#10587623C2211yescharacteristic, complemented
65C2×#10587623C2211yescharacteristic, complemented
66C2×#10587623C2211yescharacteristic, complemented
67C2×#10587623C2211yescharacteristic, complemented
68C2×#10587623C2211yescharacteristic, complemented
69C2×#10587623C2211yescharacteristic, complemented
70C2×C4⋊C4×D17C2211yescharacteristic, complemented
71C2×C4⋊C4×D17C2211yescharacteristic, complemented
72C2×C22⋊C4×D17C2211yescharacteristic
73C2×C22⋊C4×D17C2211yescharacteristic
74C2×C22⋊C4×D17C2211yescharacteristic, complemented
75#11762746C2211yescharacteristic, complemented
76#11762745C2211yescharacteristic, complemented
77#11762745C2211yescharacteristic, complemented
78#11762744C2211yescharacteristic, complemented
79#11762743C2211yescharacteristic, complemented
80#11762742C2211yescharacteristic, complemented
81#11762741C2211yescharacteristic, complemented
82#11762739C2211yescharacteristic, complemented
83#11762737C2211yescharacteristic, complemented
84#11762737C2211yescharacteristic, complemented
85#11762737C2211yescharacteristic, complemented
86#11762737C2211yescharacteristic, complemented
87#11762736C2211yescharacteristic, complemented
88#11762735C2211yescharacteristic, complemented
89#11762734C2211yescharacteristic, complemented
90#11762732C2211yescharacteristic, complemented
91#11762732C2211yescharacteristic, complemented
92#11762732C2211yescharacteristic, complemented
93#11762732C2211yescharacteristic, complemented
94#11762732C2211yescharacteristic, complemented
95#11762731C2211yescharacteristic, complemented
96#11762731C2211yescharacteristic, complemented
97#11762725C2211yescharacteristic, complemented
98#11762725C2211yescharacteristic, complemented
99#11762725C2211yescharacteristic, complemented
100#11762725C2211yescharacteristic, complemented
101#11762724C2211yescharacteristic, complemented
102#11762724C2211yescharacteristic, complemented
103#11762724C2211yescharacteristic, complemented
104#11762724C2211yescharacteristic, complemented
105#11762723C2211yescharacteristic, complemented
106#11762723C2211yescharacteristic, complemented
107#11762718C2211yescharacteristic
108#11762718C2211yescharacteristic
109#11762718C2211yescharacteristic
110#11762718C2211yescharacteristic, complemented
111#11762717C2211yescharacteristic
112#11762717C2211yescharacteristic
113#11762717C2211yescharacteristic
114#11762717C2211yescharacteristic
115#11762717C2211yescharacteristic, complemented
116#11762717C2211yescharacteristic, complemented
117#11762712C2211yescharacteristic, complemented
118#11762712C2211yescharacteristic, complemented
119#11762712C2211yescharacteristic, complemented
120#11762711C2211yescharacteristic, complemented
121#11762709C2211yescharacteristic, complemented
122#11762709C2211yescharacteristic, complemented
123#11762709C2211yescharacteristic, complemented
124#11762709C2211yescharacteristic, complemented
125#11762709C2211yescharacteristic, complemented
126#11762709C2211yescharacteristic, complemented
127#11762703C2211yescharacteristic, complemented
128#11762702C2211yescharacteristic, complemented
129#11762701C2211yescharacteristic, complemented
130#11762700C2211yescharacteristic, complemented
131#11762699C2211yescharacteristic, complemented
132#11762698C2211yescharacteristic, complemented
133#11762697C2211yescharacteristic, complemented
134#11762689C2211yescharacteristic, complemented
135#11762689C2211yescharacteristic, complemented
136#11762689C2211yescharacteristic, complemented
137#11762688C2211yescharacteristic, complemented
138#11762687C2211yescharacteristic, complemented
139#11762687C2211yescharacteristic, complemented
140#11762687C2211yescharacteristic, complemented
141#11762687C2211yescharacteristic, complemented
142#11762686C2211yescharacteristic, complemented
143#11762685C2211yescharacteristic, complemented
144#11762685C2211yescharacteristic, complemented
145#11762685C2211yescharacteristic, complemented
146#11762685C2211yescharacteristic, complemented
147#11762685C2211yescharacteristic, complemented
148#11762685C2211yescharacteristic, complemented
149#11762685C2211yescharacteristic, complemented
150#11762685C2211yescharacteristic, complemented
151#11762685C2211yescharacteristic, complemented
152#11762685C2211yescharacteristic, complemented
153#11762684C2211yescharacteristic, complemented
154#11762683C2211yescharacteristic, complemented
155#11762681C2211yescharacteristic, complemented
156#11762680C2211yescharacteristic, complemented
157#11762675C2211yescharacteristic, complemented
158#11762674C2211yescharacteristic, complemented
159#11762673C2211yescharacteristic, complemented
160#11762673C2211yescharacteristic, complemented
161#11762669C2211yescharacteristic, complemented
162#11762668C2211yescharacteristic, complemented
163#11762668C2211yescharacteristic, complemented
164#11762667C2211yescharacteristic, complemented
165#11762666C2211yescharacteristic, complemented
166#11762666C2211yescharacteristic, complemented
167#11762665C2211yescharacteristic, complemented
168#11762664C2211yescharacteristic
169#11762664C2211yescharacteristic
170#11762664C2211yescharacteristic, complemented
171#11762664C2211yescharacteristic, complemented
172C4×#63227C2211yescharacteristic, complemented
173#11762656C2211yescharacteristic, complemented
174C2×C17×#123C2211yescharacteristic, complemented
175C2×C17×#121C2211yescharacteristic, complemented
176C2×C17×#120C2211yescharacteristic, complemented
177C2×C17×#120C2211yescharacteristic, complemented
178C17×#397C2211yescharacteristic, complemented
179C17×#396C2211yescharacteristic, complemented
180C17×#394C2211yescharacteristic, complemented
181C17×#394C2211yescharacteristic, complemented
182C17×#392C2211yescharacteristic
183C17×#392C2211yescharacteristic, complemented
184C17×#390C2211yescharacteristic, complemented
185C17×#390C2211yescharacteristic, complemented
186C17×#388C2211yescharacteristic, complemented
187C17×#386C2211yescharacteristic, complemented
188C17×#379C2211yescharacteristic, complemented
189C25×C17C2311yescharacteristic
190C24×D17C2311yescharacteristic
191C24×D17C2311yescharacteristic
192C24×D17C2311yescharacteristic
193C22×D4×C17C2311yescharacteristic
194C22×D4×C17C2311yescharacteristic
195C22×D4×C17C2311yescharacteristic
196C22×D4×C17C2311yescharacteristic
197C22×D4×C17C2311yescharacteristic
198C22×D4×C17C2311yescharacteristic
199C22×D4×C17C2311yescharacteristic
200C23×C4×C17C2311yescharacteristic
201C22×C22⋊D17—24no—
202C22×C22⋊D17—42no—
203C22×C22⋊D17—42no—
204C22×C22⋊D17C2311yescharacteristic
205C22×C22⋊D17C2311yescharacteristic
206C22×C22⋊D17C2311yescharacteristic
207C22×C22⋊D17C2311yescharacteristic
208C22×C22⋊D17C2311yescharacteristic
209C22×C22⋊D17C2311yescharacteristic
210C22×C22⋊D17C2311yescharacteristic
211C22×C22⋊D17C2311yescharacteristic
212C22×C22⋊D17C2311yescharacteristic
213C22×C22⋊D17C2311yescharacteristic
214C22×C22⋊D17C2311yescharacteristic
215C22×C22⋊D17C2311yescharacteristic
216C22×C22⋊D17C2311yescharacteristic
217C22×C22⋊D17C2311yescharacteristic
218C23×Dic17C2311yescharacteristic
219C23×Dic17C2311yescharacteristic
220C2×D4×D17—24no—
221C2×D4×D17—24no—
222C2×D4×D17—42no—
223C2×D4×D17—42no—
224C2×D4×D17—42no—
225C2×D4×D17—42no—
226C22×D68C2311yescharacteristic
227C22×D68C2311yescharacteristic
228C22×D68C2311yescharacteristic
229C22×C4×D17—24no—
230C22×C4×D17—42no—
231C22×C4×D17—42no—
232C22×C4×D17C2311yescharacteristic
233C22×C4×D17C2311yescharacteristic
234C22×C4×D17C2311yescharacteristic
235C22×C4×D17C2311yescharacteristic
236C22×C4×D17C2311yescharacteristic
237C22×C4×D17C2311yescharacteristic
238C22×C4×D17C2311yescharacteristic
239C22×C4×D17C2311yescharacteristic
240C17×#123—24no—
241C17×#121—42no—
242C17×#120—24no—
243C17×#120—42no—
244C2×C4⋊C4×C17C2311yescharacteristic
245C2×C4⋊C4×C17C2311yescharacteristic
246C2×C4⋊C4×C17C2311yescharacteristic
247C2×C4⋊C4×C17C2311yescharacteristic
248C2×C22⋊C4×C17C2311yescharacteristic
249C2×C22⋊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×C22⋊C4×C17C2311yescharacteristic
261C2×C22⋊C4×C17C2311yescharacteristic
262C2×C22⋊C4×C17C2311yescharacteristic
263C2×C22⋊C4×C17C2311yescharacteristic
264C2×C22⋊C4×C17C2311yescharacteristic
265C2×C42×C17C2311yescharacteristic
266#10587639—24no—
267#10587639—42no—
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
289#10587625—42no—
290#10587624—24no—
291#10587624—24no—
292#10587624—42no—
293#10587623—24no—
294#10587623—24no—
295#10587623—42no—
296#10587623—42no—
297#10587623—42no—
298#10587623—42no—
299#10587621—24no—
300#10587621—24no—
301#10587615—24no—
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×#63227C2311yescharacteristic
327C2×#63227C2311yescharacteristic
328C2×C4⋊Dic17C2311yescharacteristic
329C2×C4⋊Dic17C2311yescharacteristic
330C2×C4⋊Dic17C2311yescharacteristic
331C2×C4⋊Dic17C2311yescharacteristic
332C2×C4⋊Dic17C2311yescharacteristic
333C2×C4⋊Dic17C2311yescharacteristic
334C2×C4⋊Dic17C2311yescharacteristic
335C2×C4⋊Dic17C2311yescharacteristic
336C2×#63225C2311yescharacteristic
337C2×#63225C2311yescharacteristic
338C2×#63225C2311yescharacteristic
339C2×#63225C2311yescharacteristic
340C2×#63225C2311yescharacteristic
341C2×#63225C2311yescharacteristic
342C2×#63225C2311yescharacteristic
343C2×#63225C2311yescharacteristic
344C2×#63225C2311yescharacteristic
345C2×#63225C2311yescharacteristic
346C2×#63225C2311yescharacteristic
347C2×#63225C2311yescharacteristic
348C2×C4×Dic17C2311yescharacteristic
349C2×C4×Dic17C2311yescharacteristic
350C2×C4×Dic17C2311yescharacteristic
351#10587580—24no—
352#10587580—24no—
353#10587580—42no—
354C4⋊C4×D17—24no—
355C4⋊C4×D17—24no—
356#10587572—24no—
357#10587572—24no—
358#10587570—24no—
359#10587570—24no—
360#10587570—42no—
361#10587569—24no—
362#10587569—24no—
363#10587569—24no—
364#10587569—24no—
365#10587569—42no—
366#10587569—42no—
367#10587569—42no—
368#10587568—42no—
369#10587568—42no—
370C22⋊C4×D17—24no—
371C22⋊C4×D17—24no—
372C22⋊C4×D17D418yescomplemented
373C17×#95C2311yescharacteristic
374C17×#95C2311yescharacteristic
375C17×#95C2311yescharacteristic
376C17×#95C2311yescharacteristic
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
391#10587502C2311yescharacteristic
392#10587502C2311yescharacteristic
393#10587502C2311yescharacteristic
394#10587502C2311yescharacteristic
395#10587502C2311yescharacteristic
396#10587502C2311yescharacteristic
397C24×C17—22no—
398C24×C17—41no—
399C24×C17—41no—
400C24×C17—41no—
401C24×C17—41no—
402C24×C17—41no—
403C24×C17—41no—
404C24×C17C2411yescharacteristic
405C24×C17C2411yescharacteristic
406C24×C17C2411yescharacteristic
407C24×C17C2411yescharacteristic
408C24×C17C2411yescharacteristic
409C23×D17—22no—
410C23×D17—22no—
411C23×D17—22no—
412C23×D17—22no—
413C23×D17—22no—
414C23×D17—22no—
415C23×D17—22no—
416C23×D17—22no—
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×D17C2×D414yes—
430C23×D17C2411yescharacteristic
431C23×D17C2411yescharacteristic
432C23×D17C2411yescharacteristic
433C23×D17C2411yescharacteristic
434C2×D4×C17—22no—
435C2×D4×C17—22no—
436C2×D4×C17—22no—
437C2×D4×C17—22no—
438C2×D4×C17—22no—
439C2×D4×C17—22no—
440C2×D4×C17—22no—
441C2×D4×C17—22no—
442C2×D4×C17—41no—
443C2×D4×C17—41no—
444C2×D4×C17—41no—
445C2×D4×C17—41no—
446C2×D4×C17—41no—
447C2×D4×C17—41no—
448C2×D4×C17—41no—
449C2×D4×C17—41no—
450C2×D4×C17—41no—
451C2×D4×C17—41no—
452C2×D4×C17—41no—
453C2×D4×C17—41no—
454C2×D4×C17—41no—
455C22×C4×C17—22no—
456C22×C4×C17—22no—
457C22×C4×C17—41no—
458C22×C4×C17C2411yescharacteristic
459C22×C4×C17C2411yescharacteristic
460C22×C4×C17C2411yescharacteristic
461C22×C4×C17C2411yescharacteristic
462C22×C4×C17C2411yescharacteristic
463C22×C4×C17C2411yescharacteristic
464C22×C4×C17C2411yescharacteristic
465C22×C4×C17C2411yescharacteristic
466C22×C4×C17C2411yescharacteristic
467C22×C4×C17C2411yescharacteristic
468C2×C22⋊D17—22no—
469C2×C22⋊D17—22no—
470C2×C22⋊D17—22no—
471C2×C22⋊D17—22no—
472C2×C22⋊D17—22no—
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—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—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—416no—
511C22×Dic17—22no—
512C22×Dic17—22no—
513C22×Dic17—22no—
514C22×Dic17—41no—
515C22×Dic17—41no—
516C22×Dic17—41no—
517C22×Dic17C2411yescharacteristic
518C22×Dic17C2411yescharacteristic
519C22×Dic17C2411yescharacteristic
520C22×Dic17C2411yescharacteristic
521C22×Dic17C2411yescharacteristic
522C22×Dic17C2411yescharacteristic
523C22×Dic17C2411yescharacteristic
524C22×Dic17C2411yescharacteristic
525C22×Dic17C2411yescharacteristic
526C22×Dic17C2411yescharacteristic
527C22×Dic17C2411yescharacteristic
528C22×Dic17C2411yescharacteristic
529D4×D17—416no—
530D4×D17—416no—
531C2×D68—22no—
532C2×D68—22no—
533C2×D68—22no—
534C2×D68—22no—
535C2×D68—22no—
536C2×D68—22no—
537C2×D68—41no—
538C2×D68—41no—
539C2×D68—41no—
540C2×C4×D17—22no—
541C2×C4×D17—22no—
542C2×C4×D17—22no—
543C2×C4×D17—22no—
544C2×C4×D17—22no—
545C2×C4×D17—22no—
546C2×C4×D17—22no—
547C2×C4×D17—22no—
548C2×C4×D17—22no—
549C2×C4×D17—22no—
550C2×C4×D17—41no—
551C2×C4×D17—41no—
552C2×C4×D17—41no—
553C2×C4×D17—41no—
554C2×C4×D17—41no—
555C2×C4×D17—41no—
556C2×C4×D17—41no—
557C2×C4×D17—41no—
558C2×C4×D17—41no—
559C2×C4×D17—41no—
560C2×C4×D17—41no—
561C2×C4×D17—41no—
562C2×C4×D17—416no—
563C2×C4×D17C2×D414yes—
564C2×C4×D17C2×D414yes—
565C4⋊C4×C17—22no—
566C4⋊C4×C17—22no—
567C4⋊C4×C17—41no—
568C4⋊C4×C17—41no—
569C22⋊C4×C17—22no—
570C22⋊C4×C17—22no—
571C22⋊C4×C17—22no—
572C22⋊C4×C17—22no—
573C22⋊C4×C17—41no—
574C22⋊C4×C17—41no—
575C22⋊C4×C17—41no—
576C22⋊C4×C17—41no—
577C22⋊C4×C17—41no—
578C22⋊C4×C17—41no—
579C22⋊C4×C17—41no—
580C22⋊C4×C17—41no—
581C22⋊C4×C17—41no—
582C22⋊C4×C17—41no—
583C22⋊C4×C17—41no—
584C22⋊C4×C17—41no—
585C22⋊C4×C17C2×D414yes—
586C42×C17—41no—
587C22⋊Dic17—22no—
588C22⋊Dic17—22no—
589C22⋊Dic17—22no—
590C22⋊Dic17—22no—
591C22⋊Dic17—22no—
592C22⋊Dic17—22no—
593C22⋊Dic17—41no—
594C22⋊Dic17—41no—
595C22⋊Dic17—41no—
596C22⋊Dic17—41no—
597C22⋊Dic17—41no—
598C22⋊Dic17—41no—
599C22⋊Dic17—41no—
600C22⋊Dic17—41no—
601C22⋊Dic17—41no—
602C22⋊Dic17—41no—
603C22⋊Dic17—41no—
604C22⋊Dic17—41no—
605C22⋊Dic17—41no—
606C22⋊Dic17—41no—
607C22⋊Dic17C2×D414yes—
608#63227—22no—
609#63227—22no—
610#63227—22no—
611#63227—22no—
612#63227—22no—
613#63227—22no—
614#63227—22no—
615#63227—22no—
616#63227—22no—
617#63227—22no—
618#63227—41no—
619#63227—41no—
620#63227—41no—
621#63227—41no—
622#63227—41no—
623#63227—41no—
624#63227—41no—
625#63227—41no—
626#63227—41no—
627#63227—41no—
628#63227—41no—
629#63227—41no—
630#63227—41no—
631#63227—41no—
632#63227C2×D414yes—
633#63227C2×D414yes—
634C4⋊Dic17—22no—
635C4⋊Dic17—22no—
636C4⋊Dic17—22no—
637C4⋊Dic17—22no—
638C4⋊Dic17—41no—
639C4⋊Dic17—41no—
640C4⋊Dic17—41no—
641C4⋊Dic17—41no—
642#63225—22no—
643#63225—22no—
644#63225—22no—
645#63225—22no—
646#63225—22no—
647#63225—22no—
648#63225—41no—
649#63225—41no—
650#63225—41no—
651#63225—41no—
652#63225—41no—
653#63225—41no—
654C4×Dic17—41no—
655C4×Dic17—41no—
656C4×Dic17—41no—
657#36721—171nomaximal, Sylow
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—21no—
670C23×C17—21no—
671C23×C17—21no—
672C23×C17—21no—
673C23×C17—21no—
674C23×C17—21no—
675C23×C17—21no—
676C23×C17—21no—
677C23×C17—21no—
678C23×C17—21no—
679C23×C17—21no—
680C23×C17—21no—
681C23×C17—21no—
682C23×C17—21no—
683C23×C17—21no—
684C23×C17—21no—
685C23×C17—21no—
686C23×C17—21no—
687C23×C17—21no—
688C23×C17—21no—
689C23×C17—21no—
690C23×C17—21no—
691C23×C17—44no—
692C23×C17—82no—
693C23×C17—82no—
694C23×C17—82no—
695C23×C17—82no—
696C23×C17—82no—
697C23×C17—82no—
698C23×C17C22×D412yes—
699C23×C17H(5,𝔽2)12yes—
700C23×C17C2511yescharacteristic
701C22×D17—21no—
702C22×D17—21no—
703C22×D17—21no—
704C22×D17—21no—
705C22×D17—28no—
706C22×D17—21no—
707C22×D17—21no—
708C22×D17—21no—
709C22×D17—21no—
710C22×D17—21no—
711C22×D17—21no—
712C22×D17—21no—
713C22×D17—21no—
714C22×D17—21no—
715C22×D17—21no—
716C22×D17—21no—
717C22×D17—21no—
718C22×D17—28no—
719C22×D17—21no—
720C22×D17—21no—
721C22×D17—21no—
722C22×D17—21no—
723C22×D17—21no—
724C22×D17—21no—
725C22×D17—21no—
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—82no—
736C22×D17—82no—
737C22×D17—82no—
738C22×D17—82no—
739C22×D17—82no—
740C22×D17—82no—
741C22×D17—82no—
742C22×D17—82no—
743C22×D17—82no—
744C22×D17—82no—
745C22×D17C22×D412yes—
746C22×D17C22×D412yes—
747C22×D17H(5,𝔽2)12yes—
748C22×D17H(5,𝔽2)12yes—
749C22×D17H(5,𝔽2)12yes—
750D4×C17—44no—
751D4×C17—44no—
752D4×C17—82no—
753D4×C17—82no—
754D4×C17—82no—
755D4×C17—82no—
756D4×C17—82no—
757C2×C4×C17—21no—
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—44no—
786C2×C4×C17C22×D412yes—
787C2×C4×C17C22×D412yes—
788C22⋊D17—44no—
789C22⋊D17—44no—
790C22⋊D17—44no—
791C22⋊D17—44no—
792C22⋊D17—44no—
793C22⋊D17—44no—
794C22⋊D17—44no—
795C22⋊D17—44no—
796C22⋊D17—82no—
797C22⋊D17—82no—
798C22⋊D17—82no—
799C22⋊D17—82no—
800C22⋊D17—82no—
801C22⋊D17—82no—
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—21no—
834C2×Dic17—21no—
835C2×Dic17—21no—
836C2×Dic17—44no—
837C2×Dic17—44no—
838C2×Dic17C22×D412yes—
839C2×Dic17C22×D412yes—
840D68—44no—
841D68—44no—
842D68—82no—
843C4×D17—44no—
844C4×D17—44no—
845C4×D17—44no—
846C4×D17—44no—
847C4×D17—44no—
848C4×D17—44no—
849C4×D17—44no—
850C4×D17—44no—
851C2×#534—171no—
852C22×#123—171no—
853#2847—171no—
854#2847—171no—
855#2706—171no—
856#2706—171no—
857#2706—171no—
858#2706—171no—
859#2706—171no—
860#2706—171no—
861#2706—171no—
862#2706—171no—
863#2678—171no—
864#2678—171no—
865#2678—171no—
866#2678—171no—
867#2678—171no—
868#2678—171no—
869#2678—171no—
870#2678D1711yescharacteristic, complemented
871#2618—171no—
872#2618—171no—
873#2539—171no—
874#2539—171no—
875#2504—171no—
876#2504—171no—
877#2405—171no—
878#2405—171no—
879#2403—171no—
880#2403—171no—
881#2312—171no—
882C22×C17—22no—
883C22×C17—22no—
884C22×C17—22no—
885C22×C17—22no—
886C22×C17—22no—
887C22×C17—22no—
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×C17—41no—
907C22×C17—41no—
908C22×C17—41no—
909C22×C17—41no—
910C22×C17—41no—
911C22×C17—41no—
912C22×C17—41no—
913C22×C17—41no—
914C22×C17—41no—
915C22×C17—41no—
916C22×C17—41no—
917C22×C17—88no—
918C22×C17C23×D411yescharacteristic
919C22×C17C2×H(5,𝔽2)11yescharacteristic
920C22×C17C2×H(5,𝔽2)11yescharacteristic
921C22×C17C2×H(5,𝔽2)11yescharacteristic
922C22×C17C2×H(5,𝔽2)11yescharacteristic
923C22×C17#58511yescharacteristic
924C22×C17#58511yescharacteristic
925C2×D17—22no—
926C2×D17—22no—
927C2×D17—22no—
928C2×D17—22no—
929C2×D17—22no—
930C2×D17—22no—
931C2×D17—22no—
932C2×D17—22no—
933C2×D17—22no—
934C2×D17—22no—
935C2×D17—22no—
936C2×D17—22no—
937C2×D17—416no—
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—41no—
947C2×D17—41no—
948C2×D17—41no—
949C2×D17—41no—
950C2×D17—41no—
951C2×D17—41no—
952C2×D17—41no—
953C2×D17—88no—
954C2×D17—88no—
955C2×D17#53514yes—
956C4×C17—22no—
957C4×C17—22no—
958C4×C17—41no—
959C4×C17—41no—
960C4×C17—41no—
961C4×C17—41no—
962C4×C17—41no—
963C4×C17—41no—
964C4×C17—41no—
965C4×C17—41no—
966Dic17—22no—
967Dic17—22no—
968Dic17—41no—
969Dic17—41no—
970Dic17—41no—
971Dic17—41no—
972Dic17—41no—
973Dic17—41no—
974Dic17—41no—
975Dic17—41no—
976Dic17—41no—
977Dic17—41no—
978C23×D4—171no—
979C23×D4—171no—
980C23×D4—171no—
981C24×C4—171no—
982#534—348no—
983C2×#123—171no—
984C2×#123—171no—
985C2×#123—171no—
986C2×#123—171no—
987C2×#123—171no—
988C2×#123—171no—
989C2×#123—171no—
990C2×#123—171no—
991C2×#123—171no—
992C2×#123—171no—
993C2×#123—171no—
994C2×#123—171no—
995C2×#123—171no—
996C2×#123—171no—
997C2×#123—171no—
998C2×#123—348no—
999C2×#123C2×D1711yescharacteristic, complemented
1000C2×#121—171no—
1001C2×#121—171no—
1002C2×#121—171no—
1003C2×#121—171no—
1004C2×#121—171no—
1005C2×#121—171no—
1006C2×#121—171no—
1007C2×#121C2×D1711yescharacteristic, complemented
1008C2×#120—171no—
1009C2×#120—171no—
1010C2×#120—171no—
1011C2×#120—171no—
1012C2×#120—171no—
1013C2×#120—171no—
1014C2×#120—171no—
1015C2×#120—171no—
1016C2×#120—171no—
1017C2×#120—171no—
1018C2×#120C2×D1711yescharacteristic, complemented
1019C2×#120C2×D1711yescharacteristic, complemented
1020C22×C4⋊C4—171no—
1021C22×C4⋊C4—171no—
1022C22×C22⋊C4—171no—
1023C22×C22⋊C4—171no—
1024C22×C22⋊C4—171no—
1025#399—171no—
1026#399—171no—
1027#399—171no—
1028#399—171no—
1029#398—171no—
1030#398—171no—
1031#398—171no—
1032#398—171no—
1033#397—171no—
1034#397—171no—
1035#397—171no—
1036#397—171no—
1037#397—171no—
1038#397—171no—
1039#397—171no—
1040#397C2×D1711yescharacteristic, complemented
1041#396—171no—
1042#396—171no—
1043#396—171no—
1044#396—171no—
1045#396—171no—
1046#396—171no—
1047#396—171no—
1048#396C2×D1711yescharacteristic, complemented
1049#394—171no—
1050#394—171no—
1051#394—171no—
1052#394—171no—
1053#394—171no—
1054#394—171no—
1055#394—171no—
1056#394—171no—
1057#394—171no—
1058#394—171no—
1059#394C2×D1711yescharacteristic, complemented
1060#394C2×D1711yescharacteristic, complemented
1061#392—171no—
1062#392—171no—
1063#392—171no—
1064#392—171no—
1065#392—171no—
1066#392—171no—
1067#392—171no—
1068#392—171no—
1069#392—171no—
1070#392—171no—
1071#392C2×D1711yescharacteristic
1072#392C2×D1711yescharacteristic, complemented
1073#390—171no—
1074#390—171no—
1075#390—171no—
1076#390—171no—
1077#390—171no—
1078#390—171no—
1079#390—171no—
1080#390—171no—
1081#390—171no—
1082#390—171no—
1083#390C2×D1711yescharacteristic, complemented
1084#390C2×D1711yescharacteristic, complemented
1085#388—171no—
1086#388—171no—
1087#388—171no—
1088#388—171no—
1089#388—171no—
1090#388—171no—
1091#388—171no—
1092#388C2×D1711yescharacteristic, complemented
1093#386—171no—
1094#386—171no—
1095#386—171no—
1096#386—171no—
1097#386—171no—
1098#386—171no—
1099#386—171no—
1100#386—171no—
1101#386—171no—
1102#386—171no—
1103#386—171no—
1104#386—171no—
1105#386—171no—
1106#386—171no—
1107#386—171no—
1108#386—171no—
1109#386—171no—
1110#386—171no—
1111#386—171no—
1112#386C2×D1711yescharacteristic, complemented
1113#385—171no—
1114#385—171no—
1115#385—171no—
1116#385—171no—
1117#382—171no—
1118#382—171no—
1119#382—171no—
1120#382—171no—
1121#380—171no—
1122#380—171no—
1123#380—171no—
1124#380—171no—
1125#380—171no—
1126#380—171no—
1127#379—171no—
1128#379—171no—
1129#379—171no—
1130#379—171no—
1131#379—171no—
1132#379C2×D1711yescharacteristic, complemented
1133C4×C22⋊C4—171no—
1134C4×C22⋊C4—171no—
1135C2×C17—42no—
1136C2×C17—42no—
1137C2×C17—81no—
1138C2×C17—81no—
1139C2×C17—81no—
1140C2×C17C2×#53511yescharacteristic
1141C2×C17#348411yescharacteristic
1142C2×C17#348511yescharacteristic
1143C2×C17#353411yescharacteristic
1144C2×C17#353411yescharacteristic
1145C2×C17#353411yescharacteristic
1146C2×C17#353411yescharacteristic
1147D17—24no—
1148D17—42no—
1149D17—42no—
1150D17—81no—
1151C25—171no—
1152C25—171no—
1153C25—171no—
1154C25C22×D1711yescharacteristic
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×D4—171no—
1164C22×D4—171no—
1165C22×D4—171no—
1166C22×D4—171no—
1167C22×D4—171no—
1168C22×D4—171no—
1169C22×D4—171no—
1170C22×D4—171no—
1171C22×D4—171no—
1172C22×D4—344no—
1173C22×D4—344no—
1174C22×D4—344no—
1175C22×D4—682no—
1176C22×D4—682no—
1177C22×D4—682no—
1178C22×D4—682no—
1179C22×D4—682no—
1180C22×D4—682no—
1181C22×D4C22×D1711yescharacteristic
1182C22×D4C22×D1711yescharacteristic
1183C22×D4C22×D1711yescharacteristic
1184C22×D4C22×D1711yescharacteristic
1185C22×D4C22×D1711yescharacteristic
1186C22×D4C22×D1711yescharacteristic
1187C22×D4C22×D1711yescharacteristic
1188C23×C4—171no—
1189C23×C4—171no—
1190C23×C4—171no—
1191C23×C4—171no—
1192C23×C4—171no—
1193C23×C4—171no—
1194C23×C4—171no—
1195C23×C4—171no—
1196C23×C4—171no—
1197C23×C4—171no—
1198C23×C4—344no—
1199C23×C4—682no—
1200C23×C4—682no—
1201C23×C4C22×D1711yescharacteristic
1202#123—24no—
1203#123—344no—
1204#123—344no—
1205#123—344no—
1206#123—344no—
1207#123—344no—
1208#123—344no—
1209#123—344no—
1210#123—344no—
1211#123—344no—
1212#123—344no—
1213#123—344no—
1214#123—682no—
1215#123—682no—
1216#123—682no—
1217#123—682no—
1218#121—42no—
1219#121—344no—
1220#121—344no—
1221#121—344no—
1222#121—344no—
1223#121—682no—
1224#121—682no—
1225#121—682no—
1226#120—24no—
1227#120—42no—
1228#120—344no—
1229#120—344no—
1230#120—344no—
1231#120—682no—
1232#120—682no—
1233#120—682no—
1234#120—682no—
1235#120—682no—
1236#120—682no—
1237#120—682no—
1238C2×C4⋊C4—171no—
1239C2×C4⋊C4—171no—
1240C2×C4⋊C4—171no—
1241C2×C4⋊C4—171no—
1242C2×C4⋊C4—171no—
1243C2×C4⋊C4—171no—
1244C2×C4⋊C4—171no—
1245C2×C4⋊C4—171no—
1246C2×C4⋊C4—171no—
1247C2×C4⋊C4—171no—
1248C2×C4⋊C4—171no—
1249C2×C4⋊C4—171no—
1250C2×C4⋊C4—171no—
1251C2×C4⋊C4—171no—
1252C2×C4⋊C4—171no—
1253C2×C4⋊C4—171no—
1254C2×C4⋊C4—171no—
1255C2×C4⋊C4—171no—
1256C2×C4⋊C4—171no—
1257C2×C4⋊C4—171no—
1258C2×C4⋊C4—344no—
1259C2×C4⋊C4—344no—
1260C2×C4⋊C4C22×D1711yescharacteristic
1261C2×C4⋊C4C22×D1711yescharacteristic
1262C2×C4⋊C4C22×D1711yescharacteristic
1263C2×C4⋊C4C22×D1711yescharacteristic
1264C2×C22⋊C4—171no—
1265C2×C22⋊C4—171no—
1266C2×C22⋊C4—171no—
1267C2×C22⋊C4—178no—
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—171no—
1282C2×C22⋊C4—171no—
1283C2×C22⋊C4—171no—
1284C2×C22⋊C4—171no—
1285C2×C22⋊C4—171no—
1286C2×C22⋊C4—171no—
1287C2×C22⋊C4—171no—
1288C2×C22⋊C4—171no—
1289C2×C22⋊C4—171no—
1290C2×C22⋊C4—171no—
1291C2×C22⋊C4—171no—
1292C2×C22⋊C4—171no—
1293C2×C22⋊C4—171no—
1294C2×C22⋊C4—171no—
1295C2×C22⋊C4—171no—
1296C2×C22⋊C4—171no—
1297C2×C22⋊C4—171no—
1298C2×C22⋊C4—171no—
1299C2×C22⋊C4—171no—
1300C2×C22⋊C4—171no—
1301C2×C22⋊C4—171no—
1302C2×C22⋊C4—171no—
1303C2×C22⋊C4—171no—
1304C2×C22⋊C4—171no—
1305C2×C22⋊C4—171no—
1306C2×C22⋊C4—171no—
1307C2×C22⋊C4—171no—
1308C2×C22⋊C4—171no—
1309C2×C22⋊C4—171no—
1310C2×C22⋊C4—171no—
1311C2×C22⋊C4—171no—
1312C2×C22⋊C4—344no—
1313C2×C22⋊C4—344no—
1314C2×C22⋊C4C22×D1711yescharacteristic
1315C2×C22⋊C4C22×D1711yescharacteristic
1316C2×C22⋊C4C22×D1711yescharacteristic
1317C2×C22⋊C4C22×D1711yescharacteristic
1318C2×C22⋊C4C22×D1711yescharacteristic
1319C2×C22⋊C4C22×D1711yescharacteristic
1320C2×C22⋊C4C22×D1711yescharacteristic
1321C2×C22⋊C4C22×D1711yescharacteristic
1322C2×C22⋊C4C22×D1711yescharacteristic
1323C2×C22⋊C4C22×D1711yescharacteristic
1324C2×C22⋊C4C22×D1711yescharacteristic
1325C2×C22⋊C4C22×D1711yescharacteristic
1326C2×C22⋊C4C22×D1711yescharacteristic
1327C2×C22⋊C4C22×D1711yescharacteristic
1328C2×C22⋊C4C22×D1711yescharacteristic
1329C2×C22⋊C4C22×D1711yescharacteristic
1330C2×C22⋊C4C22×D1711yescharacteristic
1331C2×C42—171no—
1332C2×C42—171no—
1333C2×C42—171no—
1334C2×C42C22×D1711yescharacteristic
1335#95—171no—
1336#95—171no—
1337#95—171no—
1338#95—171no—
1339#95—171no—
1340#95—171no—
1341#95—171no—
1342#95—171no—
1343#95—171no—
1344#95—171no—
1345#95—171no—
1346#95—171no—
1347#95—171no—
1348#95—171no—
1349#95—171no—
1350#95—171no—
1351#95—171no—
1352#95—171no—
1353#95—171no—
1354#95—171no—
1355#95C22×D1711yescharacteristic
1356#95C22×D1711yescharacteristic
1357#95C22×D1711yescharacteristic
1358#95C22×D1711yescharacteristic
1359C17#3672111yescharacteristic, complemented, Sylow
1360C24—22no—
1361C24—41no—
1362C24—41no—
1363C24—41no—
1364C24—41no—
1365C24—41no—
1366C24—41no—
1367C24—171no—
1368C24—171no—
1369C24—171no—
1370C24—174no—
1371C24—171no—
1372C24—342no—
1373C24—342no—
1374C24—342no—
1375C24—342no—
1376C24—342no—
1377C24—342no—
1378C24—342no—
1379C24—342no—
1380C24—681no—
1381C24—681no—
1382C24—681no—
1383C24—681no—
1384C24—681no—
1385C24—681no—
1386C24—681no—
1387C24—681no—
1388C24—681no—
1389C24—681no—
1390C24—681no—
1391C24—681no—
1392C24C23×D1711yescharacteristic
1393C24C23×D1711yescharacteristic
1394C24C23×D1711yescharacteristic
1395C24C23×D1711yescharacteristic
1396C24C23×D1711yescharacteristic
1397C2×D4—22no—
1398C2×D4—22no—
1399C2×D4—22no—
1400C2×D4—22no—
1401C2×D4—22no—
1402C2×D4—22no—
1403C2×D4—22no—
1404C2×D4—22no—
1405C2×D4—41no—
1406C2×D4—41no—
1407C2×D4—41no—
1408C2×D4—41no—
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—342no—
1419C2×D4—342no—
1420C2×D4—342no—
1421C2×D4—342no—
1422C2×D4—342no—
1423C2×D4—342no—
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—342no—
1437C2×D4—342no—
1438C2×D4—342no—
1439C2×D4—342no—
1440C2×D4—342no—
1441C2×D4—342no—
1442C2×D4—342no—
1443C2×D4—342no—
1444C2×D4—342no—
1445C2×D4—342no—
1446C2×D4—681no—
1447C2×D4—681no—
1448C2×D4—681no—
1449C2×D4—681no—
1450C2×D4—681no—
1451C2×D4—681no—
1452C2×D4—681no—
1453C2×D4—681no—
1454C2×D4—681no—
1455C2×D4—681no—
1456C2×D4—681no—
1457C2×D4—681no—
1458C2×D4—681no—
1459C2×D4—681no—
1460C2×D4—681no—
1461C2×D4—681no—
1462C2×D4—681no—
1463C2×D4—681no—
1464C2×D4—681no—
1465C2×D4—681no—
1466C2×D4—681no—
1467C2×D4—681no—
1468C2×D4—681no—
1469C2×D4—6816no—
1470C2×D4—6816no—
1471C2×D4—6816no—
1472C22×C4—22no—
1473C22×C4—22no—
1474C22×C4—41no—
1475C22×C4—171no—
1476C22×C4—171no—
1477C22×C4—174no—
1478C22×C4—174no—
1479C22×C4—171no—
1480C22×C4—171no—
1481C22×C4—171no—
1482C22×C4—171no—
1483C22×C4—171no—
1484C22×C4—171no—
1485C22×C4—171no—
1486C22×C4—171no—
1487C22×C4—171no—
1488C22×C4—171no—
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—342no—
1501C22×C4—342no—
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—6816no—
1515C22×C4—681no—
1516C22×C4—681no—
1517C22×C4—681no—
1518C22×C4C23×D1711yescharacteristic
1519C22×C4C23×D1711yescharacteristic
1520C22×C4C23×D1711yescharacteristic
1521C22×C4C23×D1711yescharacteristic
1522C22×C4C23×D1711yescharacteristic
1523C22×C4C23×D1711yescharacteristic
1524C22×C4C23×D1711yescharacteristic
1525C22×C4C23×D1711yescharacteristic
1526C22×C4C23×D1711yescharacteristic
1527C22×C4C23×D1711yescharacteristic
1528C4⋊C4—22no—
1529C4⋊C4—22no—
1530C4⋊C4—41no—
1531C4⋊C4—41no—
1532C4⋊C4—342no—
1533C4⋊C4—342no—
1534C4⋊C4—342no—
1535C4⋊C4—342no—
1536C4⋊C4—342no—
1537C4⋊C4—342no—
1538C4⋊C4—342no—
1539C4⋊C4—342no—
1540C4⋊C4—342no—
1541C4⋊C4—342no—
1542C4⋊C4—681no—
1543C4⋊C4—681no—
1544C4⋊C4—681no—
1545C4⋊C4—681no—
1546C4⋊C4—681no—
1547C4⋊C4—681no—
1548C4⋊C4—681no—
1549C4⋊C4—681no—
1550C4⋊C4—681no—
1551C4⋊C4—681no—
1552C22⋊C4—22no—
1553C22⋊C4—22no—
1554C22⋊C4—22no—
1555C22⋊C4—22no—
1556C22⋊C4—41no—
1557C22⋊C4—41no—
1558C22⋊C4—41no—
1559C22⋊C4—41no—
1560C22⋊C4—41no—
1561C22⋊C4—41no—
1562C22⋊C4—41no—
1563C22⋊C4—41no—
1564C22⋊C4—41no—
1565C22⋊C4—41no—
1566C22⋊C4—41no—
1567C22⋊C4—41no—
1568C22⋊C4—174no—
1569C22⋊C4—174no—
1570C22⋊C4—174no—
1571C22⋊C4—342no—
1572C22⋊C4—342no—
1573C22⋊C4—342no—
1574C22⋊C4—342no—
1575C22⋊C4—342no—
1576C22⋊C4—342no—
1577C22⋊C4—342no—
1578C22⋊C4—342no—
1579C22⋊C4—342no—
1580C22⋊C4—342no—
1581C22⋊C4—342no—
1582C22⋊C4—342no—
1583C22⋊C4—342no—
1584C22⋊C4—342no—
1585C22⋊C4—342no—
1586C22⋊C4—342no—
1587C22⋊C4—681no—
1588C22⋊C4—681no—
1589C22⋊C4—681no—
1590C22⋊C4—681no—
1591C22⋊C4—681no—
1592C22⋊C4—681no—
1593C22⋊C4—681no—
1594C22⋊C4—681no—
1595C22⋊C4—681no—
1596C22⋊C4—681no—
1597C22⋊C4—681no—
1598C22⋊C4—681no—
1599C22⋊C4—681no—
1600C22⋊C4—681no—
1601C22⋊C4—681no—
1602C22⋊C4—681no—
1603C22⋊C4—681no—
1604C22⋊C4—681no—
1605C22⋊C4—681no—
1606C22⋊C4—681no—
1607C22⋊C4—681no—
1608C22⋊C4—681no—
1609C22⋊C4—681no—
1610C22⋊C4—681no—
1611C22⋊C4—681no—
1612C22⋊C4—681no—
1613C22⋊C4—681no—
1614C22⋊C4—681no—
1615C22⋊C4D4×D1714yes—
1616C42—41no—
1617C42—681no—
1618C42—681no—
1619C42—681no—
1620C23—21no—
1621C23—21no—
1622C23—21no—
1623C23—21no—
1624C23—21no—
1625C23—21no—
1626C23—21no—
1627C23—21no—
1628C23—21no—
1629C23—21no—
1630C23—21no—
1631C23—21no—
1632C23—21no—
1633C23—21no—
1634C23—21no—
1635C23—21no—
1636C23—21no—
1637C23—21no—
1638C23—21no—
1639C23—21no—
1640C23—21no—
1641C23—21no—
1642C23—21no—
1643C23—21no—
1644C23—21no—
1645C23—21no—
1646C23—21no—
1647C23—21no—
1648C23—21no—
1649C23—21no—
1650C23—21no—
1651C23—21no—
1652C23—21no—
1653C23—44no—
1654C23—82no—
1655C23—82no—
1656C23—82no—
1657C23—82no—
1658C23—82no—
1659C23—82no—
1660C23—172no—
1661C23—172no—
1662C23—172no—
1663C23—172no—
1664C23—172no—
1665C23—348no—
1666C23—348no—
1667C23—341no—
1668C23—341no—
1669C23—341no—
1670C23—341no—
1671C23—341no—
1672C23—341no—
1673C23—341no—
1674C23—341no—
1675C23—341no—
1676C23—341no—
1677C23—341no—
1678C23—341no—
1679C23—341no—
1680C23—341no—
1681C23—341no—
1682C23—341no—
1683C23—341no—
1684C23—341no—
1685C23—341no—
1686C23—341no—
1687C23—341no—
1688C23—341no—
1689C23—341no—
1690C23—684no—
1691C23—684no—
1692C23—684no—
1693C23—684no—
1694C23—684no—
1695C23—684no—
1696C23—684no—
1697C23—684no—
1698C23—684no—
1699C23—1362no—
1700C23—1362no—
1701C23—1362no—
1702C23—1362no—
1703C23—1362no—
1704C23—1362no—
1705C23—1362no—
1706C23—1362no—
1707C23—1362no—
1708C23—1362no—
1709C23C2×D4×D1712yes—
1710C23#1058769112yes—
1711C23C24×D1711yescharacteristic
1712D4—44no—
1713D4—44no—
1714D4—82no—
1715D4—82no—
1716D4—82no—
1717D4—82no—
1718D4—82no—
1719D4—684no—
1720D4—684no—
1721D4—684no—
1722D4—684no—
1723D4—684no—
1724D4—684no—
1725D4—684no—
1726D4—684no—
1727D4—684no—
1728D4—684no—
1729D4—1362no—
1730D4—1362no—
1731D4—1362no—
1732D4—1362no—
1733D4—1362no—
1734D4—1362no—
1735D4—1362no—
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—21no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—21no—
1764C2×C4—44no—
1765C2×C4—172no—
1766C2×C4—172no—
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—341no—
1788C2×C4—341no—
1789C2×C4—341no—
1790C2×C4—341no—
1791C2×C4—341no—
1792C2×C4—341no—
1793C2×C4—341no—
1794C2×C4—341no—
1795C2×C4—341no—
1796C2×C4—341no—
1797C2×C4—341no—
1798C2×C4—341no—
1799C2×C4—341no—
1800C2×C4—341no—
1801C2×C4—684no—
1802C2×C4—684no—
1803C2×C4—684no—
1804C2×C4—684no—
1805C2×C4—684no—
1806C2×C4—684no—
1807C2×C4—684no—
1808C2×C4—684no—
1809C2×C4—684no—
1810C2×C4—684no—
1811C2×C4C2×D4×D1712yes—
1812C2×C4C2×D4×D1712yes—
1813C22—22no—
1814C22—22no—
1815C22—22no—
1816C22—22no—
1817C22—22no—
1818C22—22no—
1819C22—41no—
1820C22—41no—
1821C22—41no—
1822C22—41no—
1823C22—41no—
1824C22—41no—
1825C22—41no—
1826C22—41no—
1827C22—41no—
1828C22—41no—
1829C22—41no—
1830C22—41no—
1831C22—41no—
1832C22—41no—
1833C22—41no—
1834C22—41no—
1835C22—41no—
1836C22—41no—
1837C22—41no—
1838C22—41no—
1839C22—41no—
1840C22—41no—
1841C22—41no—
1842C22—41no—
1843C22—41no—
1844C22—41no—
1845C22—41no—
1846C22—41no—
1847C22—41no—
1848C22—88no—
1849C22—174no—
1850C22—342no—
1851C22—342no—
1852C22—342no—
1853C22—342no—
1854C22—342no—
1855C22—342no—
1856C22—342no—
1857C22—342no—
1858C22—342no—
1859C22—342no—
1860C22—342no—
1861C22—342no—
1862C22—6816no—
1863C22—681no—
1864C22—681no—
1865C22—681no—
1866C22—681no—
1867C22—681no—
1868C22—681no—
1869C22—681no—
1870C22—681no—
1871C22—681no—
1872C22—681no—
1873C22—681no—
1874C22—681no—
1875C22—681no—
1876C22—681no—
1877C22—681no—
1878C22—1368no—
1879C22—1368no—
1880C22C22×D4×D1711yescharacteristic
1881C22H(5,𝔽2)×D1711yescharacteristic
1882C22H(5,𝔽2)×D1711yescharacteristic
1883C22H(5,𝔽2)×D1711yescharacteristic
1884C22C2×#1058769111yescharacteristic
1885C22#1176364411yescharacteristic
1886C22#1176364511yescharacteristic
1887C4—22no—
1888C4—22no—
1889C4—41no—
1890C4—41no—
1891C4—41no—
1892C4—41no—
1893C4—41no—
1894C4—41no—
1895C4—41no—
1896C4—41no—
1897C4—342no—
1898C4—342no—
1899C4—681no—
1900C4—681no—
1901C4—681no—
1902C4—681no—
1903C4—681no—
1904C4—681no—
1905C4—681no—
1906C4—681no—
1907C4—681no—
1908C4—681no—
1909C2—42no—
1910C2—42no—
1911C2—81no—
1912C2—81no—
1913C2—81no—
1914C2—344no—
1915C2—682no—
1916C2—682no—
1917C2—1361no—
1918C2D17×#53511yescharacteristic
1919C2#1454241211yescharacteristic
1920C2#1454242111yescharacteristic
1921C2#1454296411yescharacteristic
1922C2#1454296511yescharacteristic
1923C2#1454296611yescharacteristic
1924C2#1454297311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D17
commutator, socle, cosocleC23×C17C25
FittingC17×#2678C2
hypercenter#2678D17
hypocenterC17#36721
LCSG ▷ C23×C17 ▷ C17
UCSC1 ◁ C23 ◁ #2678

Complements

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

NH ≅ G/Ntype
1. C2×#11763369C2semidirect
2. C2×#123×D17C2semidirect
3. #14537065C2semidirect
4. #14537063C2semidirect
5. #14535479C2semidirect
6. #14535478C2semidirect
7. #14535477C2semidirect
8. #14535476C2semidirect
9. #14535470C2semidirect
10. #14535468C2semidirect
11. #14535467C2semidirect
12. #14535465C2semidirect
13. #14535116C2semidirect
14. #14535113C2semidirect
15. #14535112C2semidirect
16. #14535109C2semidirect
17. #14535106C2semidirect
18. #14535105C2semidirect
19. #14535102C2semidirect
20. #14534531C2semidirect
21. #14534525C2semidirect
22. #14533713C2semidirect
23. #14533709C2semidirect
24. #14533275C2semidirect
25. #14533271C2semidirect
26. #14532109C2semidirect
27. #14532106C2semidirect
28. #14532095C2semidirect
29. #14532093C2semidirect
30. #14531378C2semidirect
31. C17×#2678C2semidirect
35. C23×C4×D17C22semidirect
37. C2×#10587580C22semidirect
38. C2×#10587580C22semidirect
39. C2×#10587580C22semidirect
40. C2×#10587572C22semidirect
41. C2×#10587572C22semidirect
42. C2×#10587615C22semidirect
43. C2×#10587569C22semidirect
44. C2×#10587569C22semidirect
45. C2×#10587569C22semidirect
46. C2×#10587569C22semidirect
47. C2×#10587569C22semidirect
48. C2×#10587569C22semidirect
49. C2×#10587569C22semidirect
50. C2×#10587621C22semidirect
51. C2×#10587621C22semidirect
55. C2×#10587570C22semidirect
56. C2×#10587625C22semidirect
59. C2×#10587624C22semidirect
60. C2×#10587568C22semidirect
61. C2×#10587568C22semidirect
62. C2×#10587639C22semidirect
63. C2×#10587639C22semidirect
64. C2×#10587623C22semidirect
65. C2×#10587623C22semidirect
66. C2×#10587623C22semidirect
67. C2×#10587623C22semidirect
68. C2×#10587623C22semidirect
69. C2×#10587623C22semidirect
70. C2×C4⋊C4×D17C22semidirect
71. C2×C4⋊C4×D17C22semidirect
74. C2×C22⋊C4×D17C22semidirect
75. #11762746C22semidirect
76. #11762745C22semidirect
77. #11762745C22semidirect
78. #11762744C22semidirect
79. #11762743C22semidirect
80. #11762742C22semidirect
81. #11762741C22semidirect
82. #11762739C22semidirect
83. #11762737C22semidirect
84. #11762737C22semidirect
85. #11762737C22semidirect
86. #11762737C22semidirect
87. #11762736C22semidirect
88. #11762735C22semidirect
89. #11762734C22semidirect
90. #11762732C22semidirect
91. #11762732C22semidirect
92. #11762732C22semidirect
93. #11762732C22semidirect
94. #11762732C22semidirect
95. #11762731C22semidirect
96. #11762731C22semidirect
97. #11762725C22semidirect
98. #11762725C22semidirect
99. #11762725C22semidirect
100. #11762725C22semidirect
101. #11762724C22semidirect
102. #11762724C22semidirect
103. #11762724C22semidirect
104. #11762724C22semidirect
105. #11762723C22semidirect
106. #11762723C22semidirect
110. #11762718C22semidirect
115. #11762717C22semidirect
116. #11762717C22semidirect
117. #11762712C22semidirect
118. #11762712C22semidirect
119. #11762712C22semidirect
120. #11762711C22semidirect
121. #11762709C22semidirect
122. #11762709C22semidirect
123. #11762709C22semidirect
124. #11762709C22semidirect
125. #11762709C22semidirect
126. #11762709C22semidirect
127. #11762703C22semidirect
128. #11762702C22semidirect
129. #11762701C22semidirect
130. #11762700C22semidirect
131. #11762699C22semidirect
132. #11762698C22semidirect
133. #11762697C22semidirect
134. #11762689C22semidirect
135. #11762689C22semidirect
136. #11762689C22semidirect
137. #11762688C22semidirect
138. #11762687C22semidirect
139. #11762687C22semidirect
140. #11762687C22semidirect
141. #11762687C22semidirect
142. #11762686C22semidirect
143. #11762685C22semidirect
144. #11762685C22semidirect
145. #11762685C22semidirect
146. #11762685C22semidirect
147. #11762685C22semidirect
148. #11762685C22semidirect
149. #11762685C22semidirect
150. #11762685C22semidirect
151. #11762685C22semidirect
152. #11762685C22semidirect
153. #11762684C22semidirect
154. #11762683C22semidirect
155. #11762681C22semidirect
156. #11762680C22semidirect
157. #11762675C22semidirect
158. #11762674C22semidirect
159. #11762673C22semidirect
160. #11762673C22semidirect
161. #11762669C22semidirect
162. #11762668C22semidirect
163. #11762668C22semidirect
164. #11762667C22semidirect
165. #11762666C22semidirect
166. #11762666C22semidirect
167. #11762665C22semidirect
170. #11762664C22semidirect
171. #11762664C22semidirect
172. C4×#63227C22semidirect
173. #11762656C22semidirect
174. C2×C17×#123C22semidirect
175. C2×C17×#121C22semidirect
176. C2×C17×#120C22semidirect
177. C2×C17×#120C22semidirect
178. C17×#397C22semidirect
179. C17×#396C22semidirect
180. C17×#394C22semidirect
181. C17×#394C22semidirect
183. C17×#392C22semidirect
184. C17×#390C22semidirect
185. C17×#390C22semidirect
186. C17×#388C22semidirect
187. C17×#386C22semidirect
188. C17×#379C22semidirect
372. C22⋊C4×D17D4semidirect
870. #2678D17semidirect
999. C2×#123C2×D17semidirect
1007. C2×#121C2×D17semidirect
1018. C2×#120C2×D17semidirect
1019. C2×#120C2×D17semidirect
1040. #397C2×D17semidirect
1048. #396C2×D17semidirect
1059. #394C2×D17semidirect
1060. #394C2×D17semidirect
1072. #392C2×D17semidirect
1083. #390C2×D17semidirect
1084. #390C2×D17semidirect
1092. #388C2×D17semidirect
1112. #386C2×D17semidirect
1132. #379C2×D17semidirect
1359. C17#36721semidirect

Maximal subgroups

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

subgroupindex
C2×#117633692
C2×#123×D172
#145370652
#145370632
#145354792
#145354782
#145354772
#145354762
#145354702
#145354682
#145354672
#145354652
#145351162
#145351132
#145351122
#145351092
#145351062
#145351052
#145351022
#145345312
#145345252
#145337132
#145337092
#145332752
#145332712
#145321092
#145321062
#145320952
#145320932
#145313782
C17×#26782
#3672117