Finite Group Databasebeta

← #17243210

Subgroups — #17243210

Order 4352.

2346 conjugacy classes of subgroups.

The subgroup lattice has 1770 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#14537073C211yesmaximal, characteristic, complemented
2#14537063C211yesmaximal, characteristic, complemented
3#14536644C211yesmaximal, characteristic, complemented
4#14536498C211yesmaximal, characteristic, complemented
5#14536105C211yesmaximal, characteristic, complemented
6#14536066C211yesmaximal, characteristic, complemented
7#14536052C211yesmaximal, characteristic, complemented
8#14536001C211yesmaximal, characteristic, complemented
9#14535888C211yesmaximal, characteristic, complemented
10#14535515C211yesmaximal, characteristic, complemented
11#14535511C211yesmaximal, characteristic, complemented
12#14535468C211yesmaximal, characteristic, complemented
13#14535432C211yesmaximal, characteristic, complemented
14#14535367C211yesmaximal, characteristic, complemented
15#14535226C211yesmaximal, characteristic, complemented
16#14535056C211yesmaximal, characteristic, complemented
17#14535016C211yesmaximal, characteristic, complemented
18#14534556C211yesmaximal, characteristic, complemented
19#14534517C211yesmaximal, characteristic, complemented
20#14534007C211yesmaximal, characteristic, complemented
21#14533739C211yesmaximal, characteristic, complemented
22#14532418C211yesmaximal, characteristic, complemented
23#14532323C211yesmaximal, characteristic, complemented
24#14532317C211yesmaximal, characteristic, complemented
25#14532245C211yesmaximal, characteristic, complemented
26#14532241C211yesmaximal, characteristic, complemented
27#14532133C211yesmaximal, characteristic, complemented
28#14531486C211yesmaximal, characteristic, complemented
29#14531414C211yesmaximal, characteristic, complemented
30D17×#386C211yesmaximal, characteristic, complemented
31C17×#2673C211yesmaximal, characteristic, complemented
32C22×D4×D17C2211yescharacteristic
33C23×C4×D17C2211yescharacteristic
34C2×#10587626C2211yescharacteristic
35C2×#10587572C2211yescharacteristic, complemented
36C2×#10587615C2211yescharacteristic, complemented
37C2×#10587621C2211yescharacteristic, complemented
38C2×#10587625C2211yescharacteristic
39C2×#10587625C2211yescharacteristic
40C2×#10587625C2211yescharacteristic, complemented
41C2×#10587624C2211yescharacteristic
42C2×#10587624C2211yescharacteristic
43C2×#10587624C2211yescharacteristic
44C2×#10587624C2211yescharacteristic, complemented
45C2×#10587623C2211yescharacteristic
46C2×#10587623C2211yescharacteristic
47C2×#10587623C2211yescharacteristic
48C2×#10587623C2211yescharacteristic
49C2×#10587623C2211yescharacteristic
50C2×#10587623C2211yescharacteristic
51C2×C4×C22⋊D17C2211yescharacteristic
52C2×#10587567C2211yescharacteristic
53C2×#10587567C2211yescharacteristic
54C2×C22⋊C4×D17C2211yescharacteristic
55C2×C22⋊C4×D17C2211yescharacteristic
56C2×C22⋊C4×D17C2211yescharacteristic
57#11762750C2211yescharacteristic, complemented
58#11762750C2211yescharacteristic, complemented
59#11762745C2211yescharacteristic, complemented
60#11762745C2211yescharacteristic, complemented
61#11762742C2211yescharacteristic, complemented
62#11762741C2211yescharacteristic, complemented
63#11762739C2211yescharacteristic, complemented
64#11762738C2211yescharacteristic, complemented
65#11762738C2211yescharacteristic, complemented
66#11762738C2211yescharacteristic, complemented
67#11762737C2211yescharacteristic, complemented
68#11762736C2211yescharacteristic, complemented
69#11762735C2211yescharacteristic, complemented
70#11762734C2211yescharacteristic, complemented
71#11762734C2211yescharacteristic, complemented
72#11762734C2211yescharacteristic, complemented
73#11762732C2211yescharacteristic, complemented
74#11762731C2211yescharacteristic, complemented
75#11762727C2211yescharacteristic
76#11762725C2211yescharacteristic, complemented
77#11762725C2211yescharacteristic, complemented
78#11762725C2211yescharacteristic, complemented
79#11762724C2211yescharacteristic, complemented
80#11762724C2211yescharacteristic, complemented
81#11762724C2211yescharacteristic, complemented
82#11762724C2211yescharacteristic, complemented
83#11762724C2211yescharacteristic, complemented
84#11762723C2211yescharacteristic
85#11762723C2211yescharacteristic, complemented
86#11762723C2211yescharacteristic, complemented
87#11762723C2211yescharacteristic, complemented
88#11762723C2211yescharacteristic, complemented
89#11762723C2211yescharacteristic, complemented
90#11762723C2211yescharacteristic, complemented
91#11762723C2211yescharacteristic, complemented
92#11762718C2211yescharacteristic
93#11762717C2211yescharacteristic
94#11762717C2211yescharacteristic
95#11762717C2211yescharacteristic
96#11762717C2211yescharacteristic
97#11762717C2211yescharacteristic, complemented
98#11762717C2211yescharacteristic, complemented
99#11762712C2211yescharacteristic
100#11762712C2211yescharacteristic, complemented
101#11762711C2211yescharacteristic
102#11762709C2211yescharacteristic
103#11762709C2211yescharacteristic
104#11762709C2211yescharacteristic, complemented
105#11762703C2211yescharacteristic, complemented
106#11762703C2211yescharacteristic, complemented
107#11762702C2211yescharacteristic, complemented
108#11762702C2211yescharacteristic, complemented
109#11762702C2211yescharacteristic, complemented
110#11762702C2211yescharacteristic, complemented
111#11762702C2211yescharacteristic, complemented
112#11762701C2211yescharacteristic, complemented
113#11762699C2211yescharacteristic, complemented
114#11762698C2211yescharacteristic, complemented
115#11762697C2211yescharacteristic, complemented
116#11762694C2211yescharacteristic, complemented
117#11762693C2211yescharacteristic, complemented
118#11762693C2211yescharacteristic, complemented
119#11762692C2211yescharacteristic, complemented
120#11762692C2211yescharacteristic, complemented
121#11762692C2211yescharacteristic, complemented
122#11762691C2211yescharacteristic, complemented
123#11762689C2211yescharacteristic
124#11762689C2211yescharacteristic, complemented
125#11762689C2211yescharacteristic, complemented
126#11762689C2211yescharacteristic, complemented
127#11762689C2211yescharacteristic, complemented
128#11762689C2211yescharacteristic, complemented
129#11762689C2211yescharacteristic, complemented
130#11762689C2211yescharacteristic, complemented
131#11762688C2211yescharacteristic
132#11762688C2211yescharacteristic, complemented
133#11762687C2211yescharacteristic
134#11762687C2211yescharacteristic
135#11762686C2211yescharacteristic
136#11762685C2211yescharacteristic
137#11762685C2211yescharacteristic
138#11762685C2211yescharacteristic
139#11762685C2211yescharacteristic
140#11762685C2211yescharacteristic
141#11762685C2211yescharacteristic
142#11762685C2211yescharacteristic
143#11762685C2211yescharacteristic
144#11762685C2211yescharacteristic, complemented
145#11762685C2211yescharacteristic, complemented
146#11762685C2211yescharacteristic, complemented
147#11762685C2211yescharacteristic, complemented
148#11762683C2211yescharacteristic
149#11762683C2211yescharacteristic
150#11762682C2211yescharacteristic, complemented
151#11762681C2211yescharacteristic, complemented
152#11762680C2211yescharacteristic
153#11762680C2211yescharacteristic
154#11762680C2211yescharacteristic, complemented
155#11762680C2211yescharacteristic, complemented
156#11762676C2211yescharacteristic, complemented
157#11762674C2211yescharacteristic, complemented
158#11762672C2211yescharacteristic, complemented
159#11762670C2211yescharacteristic, complemented
160#11762670C2211yescharacteristic, complemented
161#11762669C2211yescharacteristic, complemented
162#11762668C2211yescharacteristic
163#11762668C2211yescharacteristic
164#11762667C2211yescharacteristic, complemented
165#11762666C2211yescharacteristic
166#11762666C2211yescharacteristic, complemented
167#11762664C2211yescharacteristic
168#11762664C2211yescharacteristic
169C4×#63227C2211yescharacteristic
170#95×D17C2211yescharacteristic
171#95×D17C2211yescharacteristic
172C2×C17×#127C2211yescharacteristic
173C2×C17×#123C2211yescharacteristic, complemented
174C2×C17×#121C2211yescharacteristic, complemented
175C2×C17×#121C2211yescharacteristic, complemented
176C17×#394C2211yescharacteristic, complemented
177C17×#394C2211yescharacteristic, complemented
178C17×#392C2211yescharacteristic
179C17×#392C2211yescharacteristic, complemented
180C17×#392C2211yescharacteristic, complemented
181C17×#392C2211yescharacteristic, complemented
182C17×#388C2211yescharacteristic, complemented
183C17×#387C2211yescharacteristic, complemented
184C17×#386C2211yescharacteristic
185C17×#386C2211yescharacteristic, complemented
186C17×#386C2211yescharacteristic, complemented
187C24×D17C2311yescharacteristic
188C24×D17C2311yescharacteristic
189C22×D4×C17C2311yescharacteristic
190C22×D4×C17C2311yescharacteristic
191C22×D4×C17C2311yescharacteristic
192C22×D4×C17C2311yescharacteristic
193C22×D4×C17C2311yescharacteristic
194C22×D4×C17C2311yescharacteristic
195C22×D4×C17C2311yescharacteristic
196C22×D4×C17C2311yescharacteristic
197C22×D4×C17C2311yescharacteristic
198C22×D4×C17C2311yescharacteristic
199C23×C4×C17C2311yescharacteristic
200C23×C4×C17C2311yescharacteristic
201C22×C22⋊D17C2311yescharacteristic
202C22×C22⋊D17C2311yescharacteristic
203C22×C22⋊D17C2311yescharacteristic
204C22×C22⋊D17C2311yescharacteristic
205C22×C22⋊D17C2311yescharacteristic
206C22×C22⋊D17C2311yescharacteristic
207C22×C22⋊D17C2311yescharacteristic
208C22×C22⋊D17C2311yescharacteristic
209C22×C22⋊D17C2311yescharacteristic
210C22×C22⋊D17C2311yescharacteristic
211C22×C22⋊D17C2311yescharacteristic
212C23×Dic17C2311yescharacteristic
213C23×Dic17C2311yescharacteristic
214C23×Dic17C2311yescharacteristic
215C2×D4×D17—24no—
216C2×D4×D17—42no—
217C2×D4×D17—42no—
218C22×D68C2311yescharacteristic
219C22×C4×D17—42no—
220C22×C4×D17—42no—
221C22×C4×D17—42no—
222C22×C4×D17C2311yescharacteristic
223C22×C4×D17C2311yescharacteristic
224C22×C4×D17C2311yescharacteristic
225C22×C4×D17C2311yescharacteristic
226C22×C4×D17C2311yescharacteristic
227C22×C4×D17C2311yescharacteristic
228C22×C4×D17C2311yescharacteristic
229C17×#127—42no—
230C17×#123—42no—
231C17×#121—42no—
232C17×#121—42no—
233C2×C4⋊C4×C17C2311yescharacteristic
234C2×C4⋊C4×C17C2311yescharacteristic
235C2×C4⋊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
244C2×C22⋊C4×C17C2311yescharacteristic
245C2×C22⋊C4×C17C2311yescharacteristic
246C2×C22⋊C4×C17C2311yescharacteristic
247C2×C22⋊C4×C17C2311yescharacteristic
248C2×C22⋊C4×C17C2311yescharacteristic
249C2×C42×C17C2311yescharacteristic
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
268C2×C22⋊Dic17C2311yescharacteristic
269C2×C22⋊Dic17C2311yescharacteristic
270C2×C22⋊Dic17C2311yescharacteristic
271C2×C22⋊Dic17C2311yescharacteristic
272C2×C22⋊Dic17C2311yescharacteristic
273C2×C22⋊Dic17C2311yescharacteristic
274#10587626—42no—
275#10587625—42no—
276#10587625—42no—
277#10587625—42no—
278#10587624—24no—
279#10587624—42no—
280#10587624—42no—
281#10587624—42no—
282#10587623—42no—
283#10587623—42no—
284#10587623—42no—
285#10587623—42no—
286#10587623—42no—
287#10587623—42no—
288#10587621—42no—
289#10587615—42no—
290C4×C22⋊D17—42no—
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×C4⋊Dic17C2311yescharacteristic
313C2×C4⋊Dic17C2311yescharacteristic
314C2×C4⋊Dic17C2311yescharacteristic
315C2×C4⋊Dic17C2311yescharacteristic
316C2×C4⋊Dic17C2311yescharacteristic
317C2×C4⋊Dic17C2311yescharacteristic
318C2×#63225C2311yescharacteristic
319C2×#63225C2311yescharacteristic
320C2×#63225C2311yescharacteristic
321C2×#63225C2311yescharacteristic
322C2×#63225C2311yescharacteristic
323C2×#63225C2311yescharacteristic
324C2×#63225C2311yescharacteristic
325C2×#63225C2311yescharacteristic
326C2×#63225C2311yescharacteristic
327C2×#63225C2311yescharacteristic
328C2×#63225C2311yescharacteristic
329C2×C4×Dic17C2311yescharacteristic
330C2×C4×Dic17C2311yescharacteristic
331C2×C4×Dic17C2311yescharacteristic
332C2×C4×Dic17C2311yescharacteristic
333#10587572—42no—
334#10587567—24no—
335#10587567—42no—
336C22⋊C4×D17—42no—
337C22⋊C4×D17—42no—
338C22⋊C4×D17—42no—
339C17×#95C2311yescharacteristic
340C17×#95C2311yescharacteristic
341C17×#95C2311yescharacteristic
342C17×#95C2311yescharacteristic
343C17×#95C2311yescharacteristic
344C17×#95C2311yescharacteristic
345#10587502C2311yescharacteristic
346#10587502C2311yescharacteristic
347#10587502C2311yescharacteristic
348#10587502C2311yescharacteristic
349#10587502C2311yescharacteristic
350#10587502C2311yescharacteristic
351#10587502C2311yescharacteristic
352#10587502C2311yescharacteristic
353#10587502C2311yescharacteristic
354#10587502C2311yescharacteristic
355#10587502C2311yescharacteristic
356#10587502C2311yescharacteristic
357#10587502C2311yescharacteristic
358#10587502C2311yescharacteristic
359#10587502C2311yescharacteristic
360#10587502C2311yescharacteristic
361#10587502C2311yescharacteristic
362#10587502C2311yescharacteristic
363#10587502C2311yescharacteristic
364#10587502C2311yescharacteristic
365#10587502C2311yescharacteristic
366#10587502C2311yescharacteristic
367#10587502C2311yescharacteristic
368#10587502C2311yescharacteristic
369#10587502C2311yescharacteristic
370#10587502C2311yescharacteristic
371#10587502C2311yescharacteristic
372#10587502C2311yescharacteristic
373#10587502C2311yescharacteristic
374#10587502C2311yescharacteristic
375C24×C17C2411yescharacteristic
376C24×C17C2411yescharacteristic
377C24×C17C2411yescharacteristic
378C24×C17C2411yescharacteristic
379C24×C17C2411yescharacteristic
380C23×D17—22no—
381C23×D17—22no—
382C23×D17—22no—
383C23×D17—22no—
384C23×D17—22no—
385C23×D17—22no—
386C23×D17—22no—
387C23×D17—22no—
388C23×D17—41no—
389C23×D17—41no—
390C23×D17—41no—
391C23×D17—41no—
392C23×D17—41no—
393C23×D17—41no—
394C23×D17C2411yescharacteristic
395C23×D17C2411yescharacteristic
396C23×D17C2411yescharacteristic
397C2×D4×C17—22no—
398C2×D4×C17—22no—
399C2×D4×C17—22no—
400C2×D4×C17—22no—
401C2×D4×C17—22no—
402C2×D4×C17—22no—
403C2×D4×C17—22no—
404C2×D4×C17—41no—
405C2×D4×C17—41no—
406C2×D4×C17—41no—
407C2×D4×C17—41no—
408C2×D4×C17—41no—
409C2×D4×C17—41no—
410C2×D4×C17—41no—
411C2×D4×C17—41no—
412C2×D4×C17—41no—
413C2×D4×C17—41no—
414C2×D4×C17—41no—
415C2×D4×C17—41no—
416C2×D4×C17—41no—
417C2×D4×C17—41no—
418C2×D4×C17—41no—
419C2×D4×C17—41no—
420C2×D4×C17—41no—
421C2×D4×C17—41no—
422C2×D4×C17—41no—
423C2×D4×C17—41no—
424C2×D4×C17—41no—
425C2×D4×C17—41no—
426C2×D4×C17—41no—
427C22×C4×C17—22no—
428C22×C4×C17—22no—
429C22×C4×C17—41no—
430C22×C4×C17—41no—
431C22×C4×C17—41no—
432C22×C4×C17—41no—
433C22×C4×C17C2411yescharacteristic
434C22×C4×C17C2411yescharacteristic
435C22×C4×C17C2411yescharacteristic
436C22×C4×C17C2411yescharacteristic
437C22×C4×C17C2411yescharacteristic
438C22×C4×C17C2411yescharacteristic
439C22×C4×C17C2411yescharacteristic
440C22×C4×C17C2411yescharacteristic
441C22×C4×C17C2411yescharacteristic
442C22×C4×C17C2411yescharacteristic
443C2×C22⋊D17—22no—
444C2×C22⋊D17—22no—
445C2×C22⋊D17—22no—
446C2×C22⋊D17—22no—
447C2×C22⋊D17—22no—
448C2×C22⋊D17—22no—
449C2×C22⋊D17—22no—
450C2×C22⋊D17—22no—
451C2×C22⋊D17—22no—
452C2×C22⋊D17—22no—
453C2×C22⋊D17—22no—
454C2×C22⋊D17—22no—
455C2×C22⋊D17—22no—
456C2×C22⋊D17—22no—
457C2×C22⋊D17—22no—
458C2×C22⋊D17—22no—
459C2×C22⋊D17—41no—
460C2×C22⋊D17—41no—
461C2×C22⋊D17—41no—
462C2×C22⋊D17—41no—
463C2×C22⋊D17—41no—
464C2×C22⋊D17—41no—
465C2×C22⋊D17—41no—
466C2×C22⋊D17—41no—
467C2×C22⋊D17—41no—
468C2×C22⋊D17—41no—
469C2×C22⋊D17—41no—
470C2×C22⋊D17—41no—
471C2×C22⋊D17—41no—
472C2×C22⋊D17—41no—
473C2×C22⋊D17—41no—
474C2×C22⋊D17—41no—
475C2×C22⋊D17—41no—
476C22×Dic17—22no—
477C22×Dic17—22no—
478C22×Dic17—41no—
479C22×Dic17—41no—
480C22×Dic17—41no—
481C22×Dic17—41no—
482C22×Dic17—41no—
483C22×Dic17—41no—
484C22×Dic17—41no—
485C22×Dic17C2411yescharacteristic
486C22×Dic17C2411yescharacteristic
487C22×Dic17C2411yescharacteristic
488C22×Dic17C2411yescharacteristic
489C22×Dic17C2411yescharacteristic
490C22×Dic17C2411yescharacteristic
491C22×Dic17C2411yescharacteristic
492C22×Dic17C2411yescharacteristic
493C22×Dic17C2411yescharacteristic
494C22×Dic17C2411yescharacteristic
495C22×Dic17C2411yescharacteristic
496C22×Dic17C2411yescharacteristic
497C22×Dic17C2411yescharacteristic
498D4×D17—416no—
499C2×D68—22no—
500C2×D68—22no—
501C2×D68—41no—
502C2×C4×D17—22no—
503C2×C4×D17—22no—
504C2×C4×D17—22no—
505C2×C4×D17—22no—
506C2×C4×D17—22no—
507C2×C4×D17—22no—
508C2×C4×D17—41no—
509C2×C4×D17—41no—
510C2×C4×D17—41no—
511C2×C4×D17—41no—
512C2×C4×D17—41no—
513C2×C4×D17—41no—
514C2×C4×D17—41no—
515C2×C4×D17—41no—
516C2×C4×D17—41no—
517C2×C4×D17—41no—
518C2×C4×D17—416no—
519C2×C4×D17—41no—
520C2×C4×D17—41no—
521C2×C4×D17—41no—
522C2×C4×D17—41no—
523C2×C4×D17#4114yes—
524C4⋊C4×C17—22no—
525C4⋊C4×C17—41no—
526C4⋊C4×C17—41no—
527C22⋊C4×C17—22no—
528C22⋊C4×C17—22no—
529C22⋊C4×C17—22no—
530C22⋊C4×C17—41no—
531C22⋊C4×C17—41no—
532C22⋊C4×C17—41no—
533C22⋊C4×C17—41no—
534C22⋊C4×C17—41no—
535C22⋊C4×C17—41no—
536C22⋊C4×C17—41no—
537C22⋊C4×C17—41no—
538C22⋊C4×C17—41no—
539C22⋊C4×C17—41no—
540C42×C17—41no—
541C22⋊Dic17—22no—
542C22⋊Dic17—22no—
543C22⋊Dic17—22no—
544C22⋊Dic17—41no—
545C22⋊Dic17—41no—
546C22⋊Dic17—41no—
547C22⋊Dic17—41no—
548C22⋊Dic17—41no—
549C22⋊Dic17—41no—
550C22⋊Dic17—41no—
551C22⋊Dic17—41no—
552C22⋊Dic17—41no—
553C22⋊Dic17—41no—
554C22⋊Dic17—41no—
555C22⋊Dic17—41no—
556C22⋊Dic17—41no—
557C22⋊Dic17—41no—
558C22⋊Dic17—41no—
559C22⋊Dic17—41no—
560C22⋊Dic17—41no—
561C22⋊Dic17—41no—
562C22⋊Dic17—41no—
563C22⋊Dic17—41no—
564C22⋊Dic17—41no—
565#63227—22no—
566#63227—22no—
567#63227—22no—
568#63227—22no—
569#63227—22no—
570#63227—22no—
571#63227—22no—
572#63227—22no—
573#63227—22no—
574#63227—41no—
575#63227—41no—
576#63227—41no—
577#63227—41no—
578#63227—41no—
579#63227—41no—
580#63227—41no—
581#63227—41no—
582#63227—41no—
583#63227—41no—
584#63227—41no—
585#63227—41no—
586C4⋊Dic17—22no—
587C4⋊Dic17—22no—
588C4⋊Dic17—41no—
589C4⋊Dic17—41no—
590C4⋊Dic17—41no—
591C4⋊Dic17—41no—
592#63225—22no—
593#63225—41no—
594#63225—41no—
595#63225—41no—
596#63225—41no—
597#63225—41no—
598#63225—41no—
599#63225—41no—
600#63225—41no—
601#63225—41no—
602#63225—41no—
603C4×Dic17—22no—
604C4×Dic17—41no—
605C4×Dic17—41no—
606C4×Dic17—41no—
607#36794—171nomaximal, Sylow
608C23×C17—21no—
609C23×C17—21no—
610C23×C17—21no—
611C23×C17—21no—
612C23×C17—21no—
613C23×C17—21no—
614C23×C17—21no—
615C23×C17—21no—
616C23×C17—21no—
617C23×C17—21no—
618C23×C17—21no—
619C23×C17—21no—
620C23×C17—21no—
621C23×C17—21no—
622C23×C17—21no—
623C23×C17—21no—
624C23×C17—21no—
625C23×C17—21no—
626C23×C17—21no—
627C23×C17—21no—
628C23×C17—21no—
629C23×C17—21no—
630C23×C17—21no—
631C23×C17—21no—
632C23×C17—21no—
633C23×C17—21no—
634C23×C17—21no—
635C23×C17—21no—
636C23×C17—21no—
637C23×C17—21no—
638C23×C17—21no—
639C23×C17—21no—
640C23×C17—21no—
641C23×C17—21no—
642C23×C17H(5,𝔽2)12yes—
643C23×C17C2511yescharacteristic
644C22×D17—21no—
645C22×D17—21no—
646C22×D17—21no—
647C22×D17—21no—
648C22×D17—28no—
649C22×D17—21no—
650C22×D17—21no—
651C22×D17—21no—
652C22×D17—21no—
653C22×D17—21no—
654C22×D17—21no—
655C22×D17—21no—
656C22×D17—21no—
657C22×D17—21no—
658C22×D17—21no—
659C22×D17—21no—
660C22×D17—21no—
661C22×D17—21no—
662C22×D17—44no—
663C22×D17—44no—
664C22×D17—44no—
665C22×D17—44no—
666C22×D17—44no—
667C22×D17—44no—
668C22×D17—44no—
669C22×D17—44no—
670C22×D17—44no—
671C22×D17—82no—
672C22×D17—82no—
673C22×D17—82no—
674C22×D17—82no—
675C22×D17C2×#4112yes—
676C22×D17H(5,𝔽2)12yes—
677C22×D17H(5,𝔽2)12yes—
678C22×D17H(5,𝔽2)12yes—
679D4×C17—44no—
680D4×C17—82no—
681D4×C17—82no—
682D4×C17—82no—
683D4×C17—82no—
684D4×C17—82no—
685D4×C17—82no—
686D4×C17—82no—
687D4×C17—82no—
688D4×C17—82no—
689C2×C4×C17—21no—
690C2×C4×C17—21no—
691C2×C4×C17—21no—
692C2×C4×C17—21no—
693C2×C4×C17—21no—
694C2×C4×C17—21no—
695C2×C4×C17—21no—
696C2×C4×C17—21no—
697C2×C4×C17—21no—
698C2×C4×C17—21no—
699C2×C4×C17—21no—
700C2×C4×C17—21no—
701C2×C4×C17—21no—
702C2×C4×C17—21no—
703C2×C4×C17—21no—
704C2×C4×C17—21no—
705C2×C4×C17—21no—
706C2×C4×C17—21no—
707C2×C4×C17—21no—
708C2×C4×C17—21no—
709C2×C4×C17—21no—
710C2×C4×C17—21no—
711C2×C4×C17—21no—
712C2×C4×C17—21no—
713C2×C4×C17—21no—
714C2×C4×C17—21no—
715C2×C4×C17—21no—
716C2×C4×C17—21no—
717C2×C4×C17—44no—
718C2×C4×C17—82no—
719C2×C4×C17C2×#4112yes—
720C2×C4×C17H(5,𝔽2)12yes—
721C22⋊D17—44no—
722C22⋊D17—44no—
723C22⋊D17—44no—
724C22⋊D17—44no—
725C22⋊D17—44no—
726C22⋊D17—82no—
727C22⋊D17—82no—
728C22⋊D17—82no—
729C22⋊D17—82no—
730C22⋊D17—82no—
731C22⋊D17—82no—
732C2×Dic17—21no—
733C2×Dic17—21no—
734C2×Dic17—21no—
735C2×Dic17—21no—
736C2×Dic17—21no—
737C2×Dic17—21no—
738C2×Dic17—21no—
739C2×Dic17—21no—
740C2×Dic17—21no—
741C2×Dic17—21no—
742C2×Dic17—21no—
743C2×Dic17—21no—
744C2×Dic17—21no—
745C2×Dic17—21no—
746C2×Dic17—21no—
747C2×Dic17—21no—
748C2×Dic17—21no—
749C2×Dic17—21no—
750C2×Dic17—21no—
751C2×Dic17—21no—
752C2×Dic17—21no—
753C2×Dic17—21no—
754C2×Dic17—21no—
755C2×Dic17—21no—
756C2×Dic17—21no—
757C2×Dic17—21no—
758C2×Dic17—21no—
759C2×Dic17—21no—
760C2×Dic17—21no—
761C2×Dic17—21no—
762C2×Dic17—21no—
763C2×Dic17—21no—
764C2×Dic17—21no—
765C2×Dic17—21no—
766C2×Dic17—21no—
767C2×Dic17—21no—
768C2×Dic17—21no—
769C2×Dic17—21no—
770C2×Dic17—44no—
771C2×Dic17—82no—
772C2×Dic17—82no—
773C2×Dic17C2×#4112yes—
774D68—44no—
775C4×D17—44no—
776C4×D17—44no—
777C4×D17—44no—
778C4×D17—44no—
779C4×D17—44no—
780C4×D17—82no—
781C4×D17—82no—
782#2849—171no—
783#2847—171no—
784#2797—171no—
785#2786—171no—
786#2756—171no—
787#2753—171no—
788#2752—171no—
789#2749—171no—
790#2740—171no—
791#2709—171no—
792#2709—171no—
793#2706—171no—
794#2703—171no—
795#2699—171no—
796#2688—171no—
797#2673—171no—
798#2673D1711yescharacteristic, complemented
799#2671—171no—
800#2622—171no—
801#2617—171no—
802#2569—171no—
803#2543—171no—
804#2433—171no—
805#2424—171no—
806#2424—171no—
807#2418—171no—
808#2418—171no—
809#2408—171no—
810#2325—171no—
811#2318—171no—
812C2×#386—171no—
813C22×C17—22no—
814C22×C17—22no—
815C22×C17—22no—
816C22×C17—41no—
817C22×C17—41no—
818C22×C17—41no—
819C22×C17—41no—
820C22×C17—41no—
821C22×C17—41no—
822C22×C17—41no—
823C22×C17—41no—
824C22×C17—41no—
825C22×C17—41no—
826C22×C17—41no—
827C22×C17—41no—
828C22×C17—41no—
829C22×C17—41no—
830C22×C17—41no—
831C22×C17—41no—
832C22×C17—41no—
833C22×C17—41no—
834C22×C17—41no—
835C22×C17—41no—
836C22×C17—41no—
837C22×C17—41no—
838C22×C17—41no—
839C22×C17—41no—
840C22×C17—41no—
841C22×C17—41no—
842C22×C17—41no—
843C22×C17—41no—
844C22×C17—41no—
845C22×C17—41no—
846C22×C17—41no—
847C22×C17—41no—
848C22×C17C22×#4111yescharacteristic
849C22×C17C2×H(5,𝔽2)11yescharacteristic
850C22×C17C2×H(5,𝔽2)11yescharacteristic
851C22×C17C2×H(5,𝔽2)11yescharacteristic
852C22×C17C2×H(5,𝔽2)11yescharacteristic
853C22×C17C2×H(5,𝔽2)11yescharacteristic
854C22×C17#58511yescharacteristic
855C2×D17—22no—
856C2×D17—22no—
857C2×D17—22no—
858C2×D17—22no—
859C2×D17—22no—
860C2×D17—22no—
861C2×D17—22no—
862C2×D17—22no—
863C2×D17—22no—
864C2×D17—416no—
865C2×D17—41no—
866C2×D17—41no—
867C2×D17—41no—
868C2×D17—41no—
869C2×D17—41no—
870C2×D17—41no—
871C2×D17—41no—
872C2×D17—41no—
873C2×D17—41no—
874C2×D17—41no—
875C2×D17—41no—
876C2×D17—88no—
877C2×D17#54014yes—
878C4×C17—22no—
879C4×C17—22no—
880C4×C17—41no—
881C4×C17—41no—
882C4×C17—41no—
883C4×C17—41no—
884C4×C17—41no—
885C4×C17—41no—
886C4×C17—41no—
887C4×C17—41no—
888Dic17—22no—
889Dic17—41no—
890Dic17—41no—
891Dic17—41no—
892Dic17—41no—
893Dic17—41no—
894Dic17—41no—
895Dic17—41no—
896Dic17—41no—
897Dic17—41no—
898Dic17—41no—
899Dic17—41no—
900Dic17—41no—
901C23×D4—171no—
902C24×C4—171no—
903C2×#127—171no—
904C2×#127C2×D1711yescharacteristic
905C2×#123—171no—
906C2×#123—171no—
907C2×#123—171no—
908C2×#123C2×D1711yescharacteristic, complemented
909C2×#121—171no—
910C2×#121—171no—
911C2×#121—171no—
912C2×#121—171no—
913C2×#121—171no—
914C2×#121—171no—
915C2×#121—171no—
916C2×#121C2×D1711yescharacteristic, complemented
917C2×#121C2×D1711yescharacteristic, complemented
918C2×#120—171no—
919C2×#120—171no—
920C2×#120—171no—
921C2×#120—171no—
922C2×#120—171no—
923C2×#120—171no—
924C2×C4×D4—171no—
925C2×C4×D4—171no—
926C2×C4×D4—171no—
927C22×C22⋊C4—171no—
928C22×C22⋊C4—171no—
929C22×C22⋊C4—171no—
930#400—171no—
931#400—171no—
932#399—171no—
933#399—171no—
934#398—171no—
935#398—171no—
936#398—171no—
937#397—171no—
938#397—171no—
939#397—171no—
940#397—171no—
941#397—171no—
942#397—171no—
943#397—171no—
944#397—171no—
945#397—171no—
946#396—171no—
947#396—171no—
948#394—171no—
949#394—171no—
950#394—171no—
951#394—171no—
952#394—171no—
953#394—171no—
954#394—171no—
955#394—171no—
956#394—171no—
957#394—171no—
958#394—171no—
959#394—171no—
960#394—171no—
961#394—171no—
962#394—171no—
963#394—171no—
964#394—171no—
965#394C2×D1711yescharacteristic, complemented
966#394C2×D1711yescharacteristic, complemented
967#392—171no—
968#392—171no—
969#392—171no—
970#392—171no—
971#392—171no—
972#392—171no—
973#392—171no—
974#392C2×D1711yescharacteristic
975#392C2×D1711yescharacteristic, complemented
976#392C2×D1711yescharacteristic, complemented
977#392C2×D1711yescharacteristic, complemented
978#390—171no—
979#390—171no—
980#390—171no—
981#390—171no—
982#390—171no—
983#390—171no—
984#388—171no—
985#388—171no—
986#388—171no—
987#388—171no—
988#388—171no—
989#388—171no—
990#388—171no—
991#388—171no—
992#388—171no—
993#388—171no—
994#388—171no—
995#388C2×D1711yescharacteristic, complemented
996#387—171no—
997#387—171no—
998#387—171no—
999#387—171no—
1000#387—171no—
1001#387—171no—
1002#387—171no—
1003#387C2×D1711yescharacteristic, complemented
1004#386—171no—
1005#386—171no—
1006#386—171no—
1007#386—171no—
1008#386—171no—
1009#386—171no—
1010#386—171no—
1011#386—171no—
1012#386—171no—
1013#386—171no—
1014#386—171no—
1015#386—171no—
1016#386—171no—
1017#386—171no—
1018#386—171no—
1019#386—171no—
1020#386—171no—
1021#386—171no—
1022#386—171no—
1023#386—171no—
1024#386—171no—
1025#386—171no—
1026#386—171no—
1027#386—171no—
1028#386—171no—
1029#386C2×D1711yescharacteristic
1030#386C2×D1711yescharacteristic, complemented
1031#386C2×D1711yescharacteristic, complemented
1032#385—171no—
1033#385—171no—
1034#385—171no—
1035#385—171no—
1036#385—171no—
1037#385—171no—
1038#385—171no—
1039#385—171no—
1040#383—171no—
1041#382—171no—
1042#381—171no—
1043#381—171no—
1044#381—171no—
1045#380—171no—
1046#380—171no—
1047#380—171no—
1048#380—171no—
1049#380—171no—
1050#380—171no—
1051#379—171no—
1052#379—171no—
1053C4×C22⋊C4—171no—
1054C2×#95—171no—
1055C2×#95—171no—
1056C2×C17—42no—
1057C2×C17—81no—
1058C2×C17—81no—
1059C2×C17—81no—
1060C2×C17—81no—
1061C2×C17C2×#54011yescharacteristic
1062C2×C17#349011yescharacteristic
1063C2×C17#350611yescharacteristic
1064C2×C17#353211yescharacteristic
1065C2×C17#353411yescharacteristic
1066C2×C17#353411yescharacteristic
1067C2×C17#353711yescharacteristic
1068D17—24no—
1069D17—42no—
1070D17—81no—
1071C25—171no—
1072C25—171no—
1073C22×D4—171no—
1074C22×D4—171no—
1075C22×D4—171no—
1076C22×D4—171no—
1077C22×D4—171no—
1078C22×D4—171no—
1079C22×D4—171no—
1080C22×D4—171no—
1081C22×D4—171no—
1082C22×D4—171no—
1083C22×D4—171no—
1084C22×D4—171no—
1085C22×D4—344no—
1086C22×D4—682no—
1087C22×D4—682no—
1088C22×D4C22×D1711yescharacteristic
1089C22×D4C22×D1711yescharacteristic
1090C22×D4C22×D1711yescharacteristic
1091C22×D4C22×D1711yescharacteristic
1092C22×D4C22×D1711yescharacteristic
1093C22×D4C22×D1711yescharacteristic
1094C22×D4C22×D1711yescharacteristic
1095C22×D4C22×D1711yescharacteristic
1096C22×D4C22×D1711yescharacteristic
1097C22×D4C22×D1711yescharacteristic
1098C23×C4—171no—
1099C23×C4—171no—
1100C23×C4—171no—
1101C23×C4—171no—
1102C23×C4—171no—
1103C23×C4—171no—
1104C23×C4—171no—
1105C23×C4—171no—
1106C23×C4—171no—
1107C23×C4—171no—
1108C23×C4—682no—
1109C23×C4—682no—
1110C23×C4—682no—
1111C23×C4C22×D1711yescharacteristic
1112C23×C4C22×D1711yescharacteristic
1113#127—42no—
1114#127—682no—
1115#123—42no—
1116#123—682no—
1117#123—682no—
1118#123—682no—
1119#121—42no—
1120#121—42no—
1121#121—344no—
1122#121—682no—
1123#121—682no—
1124#121—682no—
1125#121—682no—
1126#121—682no—
1127#121—682no—
1128#120—682no—
1129#120—682no—
1130#120—682no—
1131#120—682no—
1132#120—682no—
1133#120—682no—
1134C4×D4—344no—
1135C4×D4—682no—
1136C4×D4—682no—
1137C2×C4⋊C4—171no—
1138C2×C4⋊C4—171no—
1139C2×C4⋊C4—171no—
1140C2×C4⋊C4—171no—
1141C2×C4⋊C4—171no—
1142C2×C4⋊C4—171no—
1143C2×C4⋊C4—171no—
1144C2×C4⋊C4—171no—
1145C2×C4⋊C4—171no—
1146C2×C4⋊C4—171no—
1147C2×C4⋊C4—171no—
1148C2×C4⋊C4—171no—
1149C2×C4⋊C4—171no—
1150C2×C4⋊C4—171no—
1151C2×C4⋊C4—171no—
1152C2×C4⋊C4—171no—
1153C2×C4⋊C4—171no—
1154C2×C4⋊C4C22×D1711yescharacteristic
1155C2×C4⋊C4C22×D1711yescharacteristic
1156C2×C4⋊C4C22×D1711yescharacteristic
1157C2×C22⋊C4—171no—
1158C2×C22⋊C4—171no—
1159C2×C22⋊C4—171no—
1160C2×C22⋊C4—171no—
1161C2×C22⋊C4—171no—
1162C2×C22⋊C4—171no—
1163C2×C22⋊C4—171no—
1164C2×C22⋊C4—171no—
1165C2×C22⋊C4—171no—
1166C2×C22⋊C4—171no—
1167C2×C22⋊C4—171no—
1168C2×C22⋊C4—171no—
1169C2×C22⋊C4—171no—
1170C2×C22⋊C4—171no—
1171C2×C22⋊C4—171no—
1172C2×C22⋊C4—171no—
1173C2×C22⋊C4—171no—
1174C2×C22⋊C4—171no—
1175C2×C22⋊C4—171no—
1176C2×C22⋊C4—171no—
1177C2×C22⋊C4—171no—
1178C2×C22⋊C4—171no—
1179C2×C22⋊C4—171no—
1180C2×C22⋊C4—171no—
1181C2×C22⋊C4—171no—
1182C2×C22⋊C4—171no—
1183C2×C22⋊C4—171no—
1184C2×C22⋊C4—171no—
1185C2×C22⋊C4—171no—
1186C2×C22⋊C4—171no—
1187C2×C22⋊C4—171no—
1188C2×C22⋊C4—171no—
1189C2×C22⋊C4—171no—
1190C2×C22⋊C4—171no—
1191C2×C22⋊C4—171no—
1192C2×C22⋊C4—171no—
1193C2×C22⋊C4—171no—
1194C2×C22⋊C4—171no—
1195C2×C22⋊C4—171no—
1196C2×C22⋊C4—171no—
1197C2×C22⋊C4—171no—
1198C2×C22⋊C4—171no—
1199C2×C22⋊C4—171no—
1200C2×C22⋊C4—171no—
1201C2×C22⋊C4—171no—
1202C2×C22⋊C4—682no—
1203C2×C22⋊C4—682no—
1204C2×C22⋊C4—682no—
1205C2×C22⋊C4C22×D1711yescharacteristic
1206C2×C22⋊C4C22×D1711yescharacteristic
1207C2×C22⋊C4C22×D1711yescharacteristic
1208C2×C22⋊C4C22×D1711yescharacteristic
1209C2×C22⋊C4C22×D1711yescharacteristic
1210C2×C22⋊C4C22×D1711yescharacteristic
1211C2×C22⋊C4C22×D1711yescharacteristic
1212C2×C22⋊C4C22×D1711yescharacteristic
1213C2×C22⋊C4C22×D1711yescharacteristic
1214C2×C22⋊C4C22×D1711yescharacteristic
1215C2×C22⋊C4C22×D1711yescharacteristic
1216C2×C22⋊C4C22×D1711yescharacteristic
1217C2×C22⋊C4C22×D1711yescharacteristic
1218C2×C42—171no—
1219C2×C42—171no—
1220C2×C42—171no—
1221C2×C42—171no—
1222C2×C42C22×D1711yescharacteristic
1223#95—171no—
1224#95—171no—
1225#95—171no—
1226#95—171no—
1227#95—171no—
1228#95—171no—
1229#95—171no—
1230#95—171no—
1231#95—171no—
1232#95—171no—
1233#95—171no—
1234#95—171no—
1235#95—171no—
1236#95—171no—
1237#95—171no—
1238#95—171no—
1239#95—171no—
1240#95—171no—
1241#95—171no—
1242#95—171no—
1243#95—171no—
1244#95—171no—
1245#95—171no—
1246#95—171no—
1247#95—171no—
1248#95—171no—
1249#95—171no—
1250#95—171no—
1251#95—171no—
1252#95—171no—
1253#95C22×D1711yescharacteristic
1254#95C22×D1711yescharacteristic
1255#95C22×D1711yescharacteristic
1256#95C22×D1711yescharacteristic
1257#95C22×D1711yescharacteristic
1258#95C22×D1711yescharacteristic
1259C17#3679411yescharacteristic, complemented, Sylow
1260C24—171no—
1261C24—171no—
1262C24—171no—
1263C24—342no—
1264C24—342no—
1265C24—342no—
1266C24—342no—
1267C24—342no—
1268C24—342no—
1269C24—342no—
1270C24—342no—
1271C24—681no—
1272C24—681no—
1273C24—681no—
1274C24—681no—
1275C24—681no—
1276C24—681no—
1277C24C23×D1711yescharacteristic
1278C24C23×D1711yescharacteristic
1279C24C23×D1711yescharacteristic
1280C24C23×D1711yescharacteristic
1281C24C23×D1711yescharacteristic
1282C2×D4—22no—
1283C2×D4—22no—
1284C2×D4—22no—
1285C2×D4—22no—
1286C2×D4—22no—
1287C2×D4—22no—
1288C2×D4—22no—
1289C2×D4—41no—
1290C2×D4—41no—
1291C2×D4—41no—
1292C2×D4—41no—
1293C2×D4—41no—
1294C2×D4—41no—
1295C2×D4—41no—
1296C2×D4—41no—
1297C2×D4—41no—
1298C2×D4—41no—
1299C2×D4—41no—
1300C2×D4—41no—
1301C2×D4—41no—
1302C2×D4—41no—
1303C2×D4—41no—
1304C2×D4—41no—
1305C2×D4—41no—
1306C2×D4—41no—
1307C2×D4—41no—
1308C2×D4—41no—
1309C2×D4—41no—
1310C2×D4—41no—
1311C2×D4—41no—
1312C2×D4—342no—
1313C2×D4—342no—
1314C2×D4—342no—
1315C2×D4—342no—
1316C2×D4—342no—
1317C2×D4—342no—
1318C2×D4—342no—
1319C2×D4—342no—
1320C2×D4—342no—
1321C2×D4—342no—
1322C2×D4—342no—
1323C2×D4—342no—
1324C2×D4—342no—
1325C2×D4—342no—
1326C2×D4—342no—
1327C2×D4—342no—
1328C2×D4—342no—
1329C2×D4—342no—
1330C2×D4—681no—
1331C2×D4—681no—
1332C2×D4—681no—
1333C2×D4—681no—
1334C2×D4—681no—
1335C2×D4—681no—
1336C2×D4—681no—
1337C2×D4—681no—
1338C2×D4—681no—
1339C2×D4—681no—
1340C2×D4—681no—
1341C2×D4—681no—
1342C2×D4—681no—
1343C2×D4—681no—
1344C2×D4—681no—
1345C2×D4—681no—
1346C2×D4—681no—
1347C2×D4—681no—
1348C2×D4—6816no—
1349C22×C4—22no—
1350C22×C4—22no—
1351C22×C4—41no—
1352C22×C4—41no—
1353C22×C4—41no—
1354C22×C4—41no—
1355C22×C4—171no—
1356C22×C4—174no—
1357C22×C4—171no—
1358C22×C4—171no—
1359C22×C4—171no—
1360C22×C4—171no—
1361C22×C4—171no—
1362C22×C4—171no—
1363C22×C4—171no—
1364C22×C4—171no—
1365C22×C4—171no—
1366C22×C4—171no—
1367C22×C4—171no—
1368C22×C4—171no—
1369C22×C4—342no—
1370C22×C4—342no—
1371C22×C4—342no—
1372C22×C4—342no—
1373C22×C4—342no—
1374C22×C4—342no—
1375C22×C4—342no—
1376C22×C4—342no—
1377C22×C4—681no—
1378C22×C4—681no—
1379C22×C4—681no—
1380C22×C4—681no—
1381C22×C4—681no—
1382C22×C4—681no—
1383C22×C4—681no—
1384C22×C4—681no—
1385C22×C4—681no—
1386C22×C4—681no—
1387C22×C4—681no—
1388C22×C4—681no—
1389C22×C4—681no—
1390C22×C4—681no—
1391C22×C4—6816no—
1392C22×C4—681no—
1393C22×C4—681no—
1394C22×C4—681no—
1395C22×C4—681no—
1396C22×C4—681no—
1397C22×C4—681no—
1398C22×C4—681no—
1399C22×C4C23×D1711yescharacteristic
1400C22×C4C23×D1711yescharacteristic
1401C22×C4C23×D1711yescharacteristic
1402C22×C4C23×D1711yescharacteristic
1403C22×C4C23×D1711yescharacteristic
1404C22×C4C23×D1711yescharacteristic
1405C22×C4C23×D1711yescharacteristic
1406C22×C4C23×D1711yescharacteristic
1407C22×C4C23×D1711yescharacteristic
1408C22×C4C23×D1711yescharacteristic
1409C4⋊C4—22no—
1410C4⋊C4—41no—
1411C4⋊C4—41no—
1412C4⋊C4—342no—
1413C4⋊C4—342no—
1414C4⋊C4—342no—
1415C4⋊C4—681no—
1416C4⋊C4—681no—
1417C4⋊C4—681no—
1418C4⋊C4—681no—
1419C4⋊C4—681no—
1420C4⋊C4—681no—
1421C4⋊C4—681no—
1422C4⋊C4—681no—
1423C4⋊C4—681no—
1424C4⋊C4—681no—
1425C4⋊C4—681no—
1426C4⋊C4—681no—
1427C4⋊C4—681no—
1428C4⋊C4—681no—
1429C22⋊C4—22no—
1430C22⋊C4—22no—
1431C22⋊C4—22no—
1432C22⋊C4—41no—
1433C22⋊C4—41no—
1434C22⋊C4—41no—
1435C22⋊C4—41no—
1436C22⋊C4—41no—
1437C22⋊C4—41no—
1438C22⋊C4—41no—
1439C22⋊C4—41no—
1440C22⋊C4—41no—
1441C22⋊C4—41no—
1442C22⋊C4—342no—
1443C22⋊C4—342no—
1444C22⋊C4—342no—
1445C22⋊C4—342no—
1446C22⋊C4—342no—
1447C22⋊C4—342no—
1448C22⋊C4—342no—
1449C22⋊C4—342no—
1450C22⋊C4—342no—
1451C22⋊C4—342no—
1452C22⋊C4—342no—
1453C22⋊C4—342no—
1454C22⋊C4—681no—
1455C22⋊C4—681no—
1456C22⋊C4—681no—
1457C22⋊C4—681no—
1458C22⋊C4—681no—
1459C22⋊C4—681no—
1460C22⋊C4—681no—
1461C22⋊C4—681no—
1462C22⋊C4—681no—
1463C22⋊C4—681no—
1464C22⋊C4—681no—
1465C22⋊C4—681no—
1466C22⋊C4—681no—
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⋊C4—681no—
1479C22⋊C4—681no—
1480C22⋊C4—681no—
1481C22⋊C4—681no—
1482C22⋊C4—681no—
1483C22⋊C4—681no—
1484C22⋊C4—681no—
1485C22⋊C4—681no—
1486C22⋊C4—681no—
1487C42—41no—
1488C42—342no—
1489C42—681no—
1490C42—681no—
1491C42—681no—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—172no—
1527C23—172no—
1528C23—172no—
1529C23—172no—
1530C23—348no—
1531C23—341no—
1532C23—341no—
1533C23—341no—
1534C23—341no—
1535C23—341no—
1536C23—341no—
1537C23—341no—
1538C23—341no—
1539C23—341no—
1540C23—341no—
1541C23—341no—
1542C23—341no—
1543C23—341no—
1544C23—341no—
1545C23—341no—
1546C23—341no—
1547C23—341no—
1548C23—684no—
1549C23—684no—
1550C23—684no—
1551C23—684no—
1552C23—684no—
1553C23—684no—
1554C23—684no—
1555C23—684no—
1556C23—684no—
1557C23—1362no—
1558C23—1362no—
1559C23—1362no—
1560C23—1362no—
1561C23#1058769112yes—
1562C23C24×D1711yescharacteristic
1563D4—44no—
1564D4—82no—
1565D4—82no—
1566D4—82no—
1567D4—82no—
1568D4—82no—
1569D4—82no—
1570D4—82no—
1571D4—82no—
1572D4—82no—
1573D4—684no—
1574D4—684no—
1575D4—684no—
1576D4—684no—
1577D4—684no—
1578D4—684no—
1579D4—1362no—
1580D4—1362no—
1581D4—1362no—
1582D4—1362no—
1583D4—1362no—
1584D4—1362no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—44no—
1614C2×C4—82no—
1615C2×C4—172no—
1616C2×C4—341no—
1617C2×C4—341no—
1618C2×C4—341no—
1619C2×C4—341no—
1620C2×C4—341no—
1621C2×C4—341no—
1622C2×C4—341no—
1623C2×C4—341no—
1624C2×C4—341no—
1625C2×C4—341no—
1626C2×C4—341no—
1627C2×C4—341no—
1628C2×C4—341no—
1629C2×C4—341no—
1630C2×C4—341no—
1631C2×C4—341no—
1632C2×C4—341no—
1633C2×C4—341no—
1634C2×C4—341no—
1635C2×C4—341no—
1636C2×C4—341no—
1637C2×C4—341no—
1638C2×C4—341no—
1639C2×C4—341no—
1640C2×C4—341no—
1641C2×C4—341no—
1642C2×C4—341no—
1643C2×C4—341no—
1644C2×C4—341no—
1645C2×C4—341no—
1646C2×C4—341no—
1647C2×C4—341no—
1648C2×C4—341no—
1649C2×C4—341no—
1650C2×C4—341no—
1651C2×C4—341no—
1652C2×C4—341no—
1653C2×C4—341no—
1654C2×C4—684no—
1655C2×C4—684no—
1656C2×C4—684no—
1657C2×C4—684no—
1658C2×C4—684no—
1659C2×C4—684no—
1660C2×C4—1362no—
1661C2×C4—1362no—
1662C2×C4—1362no—
1663C2×C4—1362no—
1664C2×C4#1058769112yes—
1665C2×C4#41×D1712yes—
1666C22—22no—
1667C22—22no—
1668C22—22no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—41no—
1678C22—41no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—174no—
1702C22—342no—
1703C22—342no—
1704C22—342no—
1705C22—342no—
1706C22—342no—
1707C22—342no—
1708C22—342no—
1709C22—342no—
1710C22—342no—
1711C22—6816no—
1712C22—681no—
1713C22—681no—
1714C22—681no—
1715C22—681no—
1716C22—681no—
1717C22—681no—
1718C22—681no—
1719C22—681no—
1720C22—681no—
1721C22—681no—
1722C22—681no—
1723C22—1368no—
1724C22C2×#41×D1711yescharacteristic
1725C22H(5,𝔽2)×D1711yescharacteristic
1726C22H(5,𝔽2)×D1711yescharacteristic
1727C22H(5,𝔽2)×D1711yescharacteristic
1728C22C2×#1058769111yescharacteristic
1729C22C2×#1058769111yescharacteristic
1730C22#1176364411yescharacteristic
1731C4—22no—
1732C4—22no—
1733C4—41no—
1734C4—41no—
1735C4—41no—
1736C4—41no—
1737C4—41no—
1738C4—41no—
1739C4—41no—
1740C4—41no—
1741C4—342no—
1742C4—681no—
1743C4—681no—
1744C4—681no—
1745C4—681no—
1746C4—681no—
1747C4—681no—
1748C4—681no—
1749C4—681no—
1750C4—681no—
1751C4—681no—
1752C4—681no—
1753C4—681no—
1754C2—42no—
1755C2—81no—
1756C2—81no—
1757C2—81no—
1758C2—81no—
1759C2—344no—
1760C2—682no—
1761C2—1361no—
1762C2D17×#54011yescharacteristic
1763C2#1454246611yescharacteristic
1764C2#1454262811yescharacteristic
1765C2#1454293411yescharacteristic
1766C2#1454296411yescharacteristic
1767C2#1454296511yescharacteristic
1768C2#1454301711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D17
commutator, socle, cosocleC23×C17C25
FittingC17×#2673C2
hypercenter#2673D17
hypocenterC17#36794
LCSG ▷ C23×C17 ▷ C17
UCSC1 ◁ C23 ◁ #2673

Complements

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

NH ≅ G/Ntype
1. #14537073C2semidirect
2. #14537063C2semidirect
3. #14536644C2semidirect
4. #14536498C2semidirect
5. #14536105C2semidirect
6. #14536066C2semidirect
7. #14536052C2semidirect
8. #14536001C2semidirect
9. #14535888C2semidirect
10. #14535515C2semidirect
11. #14535511C2semidirect
12. #14535468C2semidirect
13. #14535432C2semidirect
14. #14535367C2semidirect
15. #14535226C2semidirect
16. #14535056C2semidirect
17. #14535016C2semidirect
18. #14534556C2semidirect
19. #14534517C2semidirect
20. #14534007C2semidirect
21. #14533739C2semidirect
22. #14532418C2semidirect
23. #14532323C2semidirect
24. #14532317C2semidirect
25. #14532245C2semidirect
26. #14532241C2semidirect
27. #14532133C2semidirect
28. #14531486C2semidirect
29. #14531414C2semidirect
30. D17×#386C2semidirect
31. C17×#2673C2semidirect
35. C2×#10587572C22semidirect
36. C2×#10587615C22semidirect
37. C2×#10587621C22semidirect
40. C2×#10587625C22semidirect
44. C2×#10587624C22semidirect
57. #11762750C22semidirect
58. #11762750C22semidirect
59. #11762745C22semidirect
60. #11762745C22semidirect
61. #11762742C22semidirect
62. #11762741C22semidirect
63. #11762739C22semidirect
64. #11762738C22semidirect
65. #11762738C22semidirect
66. #11762738C22semidirect
67. #11762737C22semidirect
68. #11762736C22semidirect
69. #11762735C22semidirect
70. #11762734C22semidirect
71. #11762734C22semidirect
72. #11762734C22semidirect
73. #11762732C22semidirect
74. #11762731C22semidirect
76. #11762725C22semidirect
77. #11762725C22semidirect
78. #11762725C22semidirect
79. #11762724C22semidirect
80. #11762724C22semidirect
81. #11762724C22semidirect
82. #11762724C22semidirect
83. #11762724C22semidirect
85. #11762723C22semidirect
86. #11762723C22semidirect
87. #11762723C22semidirect
88. #11762723C22semidirect
89. #11762723C22semidirect
90. #11762723C22semidirect
91. #11762723C22semidirect
97. #11762717C22semidirect
98. #11762717C22semidirect
100. #11762712C22semidirect
104. #11762709C22semidirect
105. #11762703C22semidirect
106. #11762703C22semidirect
107. #11762702C22semidirect
108. #11762702C22semidirect
109. #11762702C22semidirect
110. #11762702C22semidirect
111. #11762702C22semidirect
112. #11762701C22semidirect
113. #11762699C22semidirect
114. #11762698C22semidirect
115. #11762697C22semidirect
116. #11762694C22semidirect
117. #11762693C22semidirect
118. #11762693C22semidirect
119. #11762692C22semidirect
120. #11762692C22semidirect
121. #11762692C22semidirect
122. #11762691C22semidirect
124. #11762689C22semidirect
125. #11762689C22semidirect
126. #11762689C22semidirect
127. #11762689C22semidirect
128. #11762689C22semidirect
129. #11762689C22semidirect
130. #11762689C22semidirect
132. #11762688C22semidirect
144. #11762685C22semidirect
145. #11762685C22semidirect
146. #11762685C22semidirect
147. #11762685C22semidirect
150. #11762682C22semidirect
151. #11762681C22semidirect
154. #11762680C22semidirect
155. #11762680C22semidirect
156. #11762676C22semidirect
157. #11762674C22semidirect
158. #11762672C22semidirect
159. #11762670C22semidirect
160. #11762670C22semidirect
161. #11762669C22semidirect
164. #11762667C22semidirect
166. #11762666C22semidirect
173. C2×C17×#123C22semidirect
174. C2×C17×#121C22semidirect
175. C2×C17×#121C22semidirect
176. C17×#394C22semidirect
177. C17×#394C22semidirect
179. C17×#392C22semidirect
180. C17×#392C22semidirect
181. C17×#392C22semidirect
182. C17×#388C22semidirect
183. C17×#387C22semidirect
185. C17×#386C22semidirect
186. C17×#386C22semidirect
798. #2673D17semidirect
908. C2×#123C2×D17semidirect
916. C2×#121C2×D17semidirect
917. C2×#121C2×D17semidirect
965. #394C2×D17semidirect
966. #394C2×D17semidirect
975. #392C2×D17semidirect
976. #392C2×D17semidirect
977. #392C2×D17semidirect
995. #388C2×D17semidirect
1003. #387C2×D17semidirect
1030. #386C2×D17semidirect
1031. #386C2×D17semidirect
1259. C17#36794semidirect

Maximal subgroups

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

subgroupindex
#145370732
#145370632
#145366442
#145364982
#145361052
#145360662
#145360522
#145360012
#145358882
#145355152
#145355112
#145354682
#145354322
#145353672
#145352262
#145350562
#145350162
#145345562
#145345172
#145340072
#145337392
#145324182
#145323232
#145323172
#145322452
#145322412
#145321332
#145314862
#145314142
D17×#3862
C17×#26732
#3679417