Finite Group Databasebeta

← #17241175

Subgroups — #17241175

Order 4352.

2422 conjugacy classes of subgroups.

The subgroup lattice has 1630 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11763439C211yesmaximal, characteristic, complemented
2C2×#123×D17C211yesmaximal, characteristic
3#14537072C211yesmaximal, characteristic, complemented
4#14537070C211yesmaximal, characteristic, complemented
5#14535311C211yesmaximal, characteristic, complemented
6#14535309C211yesmaximal, characteristic, complemented
7#14535306C211yesmaximal, characteristic, complemented
8#14535304C211yesmaximal, characteristic, complemented
9#14535299C211yesmaximal, characteristic, complemented
10#14535298C211yesmaximal, characteristic, complemented
11#14535297C211yesmaximal, characteristic, complemented
12#14535072C211yesmaximal, characteristic, complemented
13#14535069C211yesmaximal, characteristic, complemented
14#14535068C211yesmaximal, characteristic, complemented
15#14535067C211yesmaximal, characteristic, complemented
16#14535066C211yesmaximal, characteristic, complemented
17#14535065C211yesmaximal, characteristic, complemented
18#14535063C211yesmaximal, characteristic, complemented
19#14535062C211yesmaximal, characteristic, complemented
20#14534594C211yesmaximal, characteristic, complemented
21#14534590C211yesmaximal, characteristic, complemented
22#14534162C211yesmaximal, characteristic, complemented
23#14534158C211yesmaximal, characteristic, complemented
24#14533059C211yesmaximal, characteristic, complemented
25#14533056C211yesmaximal, characteristic, complemented
26#14533056C211yesmaximal, characteristic, complemented
27#14533053C211yesmaximal, characteristic, complemented
28#14532434C211yesmaximal, characteristic
29#14532430C211yesmaximal, characteristic
30#14531383C211yesmaximal, characteristic, complemented
31C17×#2694C211yesmaximal, characteristic, complemented
32C22×D4×D17C2211yescharacteristic
33C23×C4×D17C2211yescharacteristic
34#11763439—28no—
35C2×#10587555C2211yescharacteristic, complemented
36C2×#10587574C2211yescharacteristic, complemented
37C2×#10587574C2211yescharacteristic, complemented
38C2×#10587574C2211yescharacteristic, complemented
39C2×#10587576C2211yescharacteristic, complemented
40C2×#10587575C2211yescharacteristic, complemented
41C2×#10587575C2211yescharacteristic, complemented
42C2×#10587561C2211yescharacteristic
43C2×#10587622C2211yescharacteristic
44C2×#10587571C2211yescharacteristic
45C2×#10587571C2211yescharacteristic
46C2×#10587580C2211yescharacteristic
47C2×#10587580C2211yescharacteristic
48C2×#10587572C2211yescharacteristic
49C2×#10587615C2211yescharacteristic
50C2×#10587569C2211yescharacteristic
51C2×#10587569C2211yescharacteristic
52C2×#10587621C2211yescharacteristic
53#123×D17—28no—
54C2×#10587583C2211yescharacteristic
55C2×#10587583C2211yescharacteristic
56C2×#10587583C2211yescharacteristic, complemented
57C2×#10587610C2211yescharacteristic, complemented
58C2×#10587582C2211yescharacteristic
59C2×#10587582C2211yescharacteristic
60C2×#10587582C2211yescharacteristic, complemented
61C2×#10587564C2211yescharacteristic, complemented
62C2×#10587578C2211yescharacteristic
63C2×#10587558C2211yescharacteristic
64C2×C4⋊C4×D17C2211yescharacteristic
65C2×C4⋊C4×D17C2211yescharacteristic
66C2×C22⋊C4×D17C2211yescharacteristic
67C2×C22⋊C4×D17C2211yescharacteristic
68C2×C22⋊C4×D17C2211yescharacteristic
69#11762746C2211yescharacteristic, complemented
70#11762745C2211yescharacteristic, complemented
71#11762745C2211yescharacteristic, complemented
72#11762745C2211yescharacteristic, complemented
73#11762745C2211yescharacteristic, complemented
74#11762744C2211yescharacteristic, complemented
75#11762744C2211yescharacteristic, complemented
76#11762744C2211yescharacteristic, complemented
77#11762744C2211yescharacteristic, complemented
78#11762744C2211yescharacteristic, complemented
79#11762743C2211yescharacteristic, complemented
80#11762742C2211yescharacteristic, complemented
81#11762740C2211yescharacteristic, complemented
82#11762738C2211yescharacteristic, complemented
83#11762738C2211yescharacteristic, complemented
84#11762737C2211yescharacteristic, complemented
85#11762737C2211yescharacteristic, complemented
86#11762736C2211yescharacteristic, complemented
87#11762735C2211yescharacteristic, complemented
88#11762734C2211yescharacteristic, complemented
89#11762732C2211yescharacteristic, complemented
90#11762732C2211yescharacteristic, complemented
91#11762732C2211yescharacteristic, complemented
92#11762731C2211yescharacteristic, complemented
93#11762731C2211yescharacteristic, complemented
94#11762731C2211yescharacteristic, complemented
95#11762731C2211yescharacteristic, complemented
96#11762730C2211yescharacteristic, complemented
97#11762730C2211yescharacteristic, complemented
98#11762729C2211yescharacteristic, complemented
99#11762729C2211yescharacteristic, complemented
100#11762727C2211yescharacteristic
101#11762726C2211yescharacteristic
102#11762725C2211yescharacteristic
103#11762725C2211yescharacteristic
104#11762725C2211yescharacteristic
105#11762725C2211yescharacteristic
106#11762723C2211yescharacteristic
107#11762722C2211yescharacteristic, complemented
108#11762722C2211yescharacteristic, complemented
109#11762721C2211yescharacteristic, complemented
110#11762721C2211yescharacteristic, complemented
111#11762710C2211yescharacteristic
112#11762709C2211yescharacteristic
113#11762709C2211yescharacteristic
114#11762708C2211yescharacteristic, complemented
115#11762708C2211yescharacteristic, complemented
116#11762707C2211yescharacteristic, complemented
117#11762706C2211yescharacteristic, complemented
118#11762706C2211yescharacteristic, complemented
119#11762704C2211yescharacteristic, complemented
120#11762704C2211yescharacteristic, complemented
121#11762703C2211yescharacteristic, complemented
122#11762703C2211yescharacteristic, complemented
123#11762702C2211yescharacteristic, complemented
124#11762702C2211yescharacteristic, complemented
125#11762701C2211yescharacteristic, complemented
126#11762701C2211yescharacteristic, complemented
127#11762700C2211yescharacteristic, complemented
128#11762700C2211yescharacteristic, complemented
129#11762699C2211yescharacteristic, complemented
130#11762699C2211yescharacteristic, complemented
131#11762698C2211yescharacteristic, complemented
132#11762698C2211yescharacteristic, complemented
133#11762697C2211yescharacteristic, complemented
134#11762697C2211yescharacteristic, complemented
135#11762696C2211yescharacteristic, complemented
136#11762695C2211yescharacteristic, complemented
137#11762694C2211yescharacteristic, complemented
138#11762693C2211yescharacteristic, complemented
139#11762692C2211yescharacteristic, complemented
140#11762691C2211yescharacteristic, complemented
141#11762690C2211yescharacteristic, complemented
142#11762684C2211yescharacteristic, complemented
143#11762684C2211yescharacteristic, complemented
144#11762683C2211yescharacteristic
145#11762683C2211yescharacteristic
146#11762683C2211yescharacteristic
147#11762683C2211yescharacteristic
148#11762683C2211yescharacteristic, complemented
149#11762683C2211yescharacteristic, complemented
150#11762683C2211yescharacteristic, complemented
151#11762682C2211yescharacteristic, complemented
152#11762680C2211yescharacteristic
153#11762680C2211yescharacteristic
154#11762680C2211yescharacteristic
155#11762680C2211yescharacteristic
156#11762680C2211yescharacteristic, complemented
157#11762671C2211yescharacteristic
158#11762671C2211yescharacteristic
159#11762668C2211yescharacteristic
160#11762668C2211yescharacteristic, complemented
161#11762667C2211yescharacteristic, complemented
162#11762666C2211yescharacteristic
163#11762666C2211yescharacteristic, complemented
164#11762664C2211yescharacteristic
165#11762664C2211yescharacteristic
166#11762664C2211yescharacteristic
167#11762664C2211yescharacteristic
168#11762664C2211yescharacteristic
169#11762664C2211yescharacteristic
170#11762664C2211yescharacteristic
171#11762664C2211yescharacteristic
172C4×#63227C2211yescharacteristic
173#11762656C2211yescharacteristic
174C2×C17×#125C2211yescharacteristic, complemented
175C2×C17×#123C2211yescharacteristic
176C17×#399C2211yescharacteristic, complemented
177C17×#399C2211yescharacteristic, complemented
178C17×#398C2211yescharacteristic, complemented
179C17×#397C2211yescharacteristic, complemented
180C17×#396C2211yescharacteristic, complemented
181C17×#394C2211yescharacteristic
182C17×#390C2211yescharacteristic
183C17×#389C2211yescharacteristic, complemented
184C17×#388C2211yescharacteristic, complemented
185C17×#388C2211yescharacteristic, complemented
186C17×#387C2211yescharacteristic, complemented
187C17×#385C2211yescharacteristic, complemented
188C17×#380C2211yescharacteristic, complemented
189C24×D17C2311yescharacteristic
190C24×D17C2311yescharacteristic
191C22×D4×C17C2311yescharacteristic
192C23×C4×C17C2311yescharacteristic
193C22×C22⋊D17C2311yescharacteristic
194C22×C22⋊D17C2311yescharacteristic
195C23×Dic17C2311yescharacteristic
196C2×D4×D17—24no—
197C2×D4×D17—42no—
198C2×D4×D17—42no—
199C22×D68C2311yescharacteristic
200C22×C4×D17—24no—
201C22×C4×D17—42no—
202C22×C4×D17—42no—
203C22×C4×D17C2311yescharacteristic
204C22×C4×D17C2311yescharacteristic
205C22×C4×D17C2311yescharacteristic
206C22×C4×D17C2311yescharacteristic
207C22×C4×D17C2311yescharacteristic
208C22×C4×D17C2311yescharacteristic
209C22×C4×D17C2311yescharacteristic
210C22×Dic34C2311yescharacteristic
211C22×Dic34C2311yescharacteristic
212C22×Dic34C2311yescharacteristic
213C22×Dic34C2311yescharacteristic
214C17×#125—24no—
215C17×#123—24no—
216C2×C4⋊C4×C17C2311yescharacteristic
217C2×C4⋊C4×C17C2311yescharacteristic
218C2×C4⋊C4×C17C2311yescharacteristic
219C2×C4⋊C4×C17C2311yescharacteristic
220C2×C4⋊C4×C17C2311yescharacteristic
221C2×C4⋊C4×C17C2311yescharacteristic
222C2×C4⋊C4×C17C2311yescharacteristic
223C2×C4⋊C4×C17C2311yescharacteristic
224C2×C4⋊C4×C17C2311yescharacteristic
225C2×C4⋊C4×C17C2311yescharacteristic
226C2×C4⋊C4×C17C2311yescharacteristic
227C2×C4⋊C4×C17C2311yescharacteristic
228C2×C22⋊C4×C17C2311yescharacteristic
229C2×C22⋊C4×C17C2311yescharacteristic
230C2×C22⋊C4×C17C2311yescharacteristic
231C2×C22⋊C4×C17C2311yescharacteristic
232C2×C22⋊C4×C17C2311yescharacteristic
233C2×C22⋊C4×C17C2311yescharacteristic
234C2×C22⋊C4×C17C2311yescharacteristic
235C2×C22⋊C4×C17C2311yescharacteristic
236C2×C22⋊C4×C17C2311yescharacteristic
237C2×C22⋊C4×C17C2311yescharacteristic
238C2×C22⋊C4×C17C2311yescharacteristic
239C2×C42×C17C2311yescharacteristic
240C2×C42×C17C2311yescharacteristic
241C2×C22⋊Dic17C2311yescharacteristic
242C2×C22⋊Dic17C2311yescharacteristic
243C2×C22⋊Dic17C2311yescharacteristic
244C2×C22⋊Dic17C2311yescharacteristic
245C2×C22⋊Dic17C2311yescharacteristic
246C2×C22⋊Dic17C2311yescharacteristic
247C2×C22⋊Dic17C2311yescharacteristic
248C2×C22⋊Dic17C2311yescharacteristic
249C2×C22⋊Dic17C2311yescharacteristic
250C2×C22⋊Dic17C2311yescharacteristic
251C2×C22⋊Dic17C2311yescharacteristic
252#10587622—42no—
253#10587621—24no—
254#10587615—24no—
255C2×#63227C2311yescharacteristic
256C2×#63227C2311yescharacteristic
257C2×#63227C2311yescharacteristic
258C2×#63227C2311yescharacteristic
259C2×#63227C2311yescharacteristic
260C2×#63227C2311yescharacteristic
261C2×#63227C2311yescharacteristic
262C2×#63227C2311yescharacteristic
263C2×#63227C2311yescharacteristic
264C2×#63227C2311yescharacteristic
265C2×#63227C2311yescharacteristic
266C2×#63227C2311yescharacteristic
267C2×#63227C2311yescharacteristic
268C2×#63227C2311yescharacteristic
269C2×#63227C2311yescharacteristic
270C2×#63227C2311yescharacteristic
271C2×#63227C2311yescharacteristic
272C2×#63227C2311yescharacteristic
273C2×#63227C2311yescharacteristic
274C2×#63227C2311yescharacteristic
275C2×#63227C2311yescharacteristic
276C2×#63227C2311yescharacteristic
277C2×#63227C2311yescharacteristic
278C2×#63227C2311yescharacteristic
279C2×#63227C2311yescharacteristic
280C2×#63227C2311yescharacteristic
281C2×#63227C2311yescharacteristic
282C2×#63227C2311yescharacteristic
283C2×#63227C2311yescharacteristic
284C2×#63227C2311yescharacteristic
285C2×C4⋊Dic17C2311yescharacteristic
286C2×C4⋊Dic17C2311yescharacteristic
287C2×C4⋊Dic17C2311yescharacteristic
288C2×C4⋊Dic17C2311yescharacteristic
289C2×C4⋊Dic17C2311yescharacteristic
290C2×C4⋊Dic17C2311yescharacteristic
291C2×C4⋊Dic17C2311yescharacteristic
292C2×C4⋊Dic17C2311yescharacteristic
293C2×C4⋊Dic17C2311yescharacteristic
294C2×C4⋊Dic17C2311yescharacteristic
295C2×C4⋊Dic17C2311yescharacteristic
296C2×C4⋊Dic17C2311yescharacteristic
297#10587610—42no—
298C2×#63225C2311yescharacteristic
299C2×#63225C2311yescharacteristic
300C2×#63225C2311yescharacteristic
301C2×#63225C2311yescharacteristic
302C2×#63225C2311yescharacteristic
303C2×#63225C2311yescharacteristic
304C2×#63225C2311yescharacteristic
305C2×#63225C2311yescharacteristic
306C2×#63225C2311yescharacteristic
307C2×#63225C2311yescharacteristic
308C2×#63225C2311yescharacteristic
309C2×#63225C2311yescharacteristic
310C2×#63225C2311yescharacteristic
311C2×#63225C2311yescharacteristic
312C2×#63225C2311yescharacteristic
313C2×#63225C2311yescharacteristic
314C2×#63225C2311yescharacteristic
315C2×#63225C2311yescharacteristic
316C2×#63225C2311yescharacteristic
317C2×#63225C2311yescharacteristic
318C2×C4×Dic17C2311yescharacteristic
319C2×C4×Dic17C2311yescharacteristic
320C2×C4×Dic17C2311yescharacteristic
321C2×C4×Dic17C2311yescharacteristic
322C2×C4×Dic17C2311yescharacteristic
323C2×C4×Dic17C2311yescharacteristic
324#10587583—24no—
325#10587583—24no—
326#10587583—42no—
327#10587582—24no—
328#10587582—24no—
329#10587582—42no—
330#10587580—24no—
331#10587580—24no—
332#10587578—24no—
333C4⋊C4×D17—24no—
334C4⋊C4×D17D418yes—
335#10587576—24no—
336#10587575—24no—
337#10587575—24no—
338#10587574—24no—
339#10587574—24no—
340#10587574—24no—
341#10587572—24no—
342#10587571—42no—
343#10587571—42no—
344#10587569—24no—
345#10587569—24no—
346C22⋊C4×D17—24no—
347C22⋊C4×D17—24no—
348C22⋊C4×D17—24no—
349#10587564—42no—
350#10587561—42no—
351#10587558—24no—
352#10587555—24no—
353C17×#95C2311yescharacteristic
354C17×#95C2311yescharacteristic
355C17×#95C2311yescharacteristic
356C17×#95C2311yescharacteristic
357C17×#95C2311yescharacteristic
358C17×#95C2311yescharacteristic
359C17×#95C2311yescharacteristic
360C17×#95C2311yescharacteristic
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
375#10587502C2311yescharacteristic
376#10587502C2311yescharacteristic
377#10587502C2311yescharacteristic
378#10587502C2311yescharacteristic
379#10587502C2311yescharacteristic
380#10587502C2311yescharacteristic
381#10587502C2311yescharacteristic
382#10587502C2311yescharacteristic
383#10587502C2311yescharacteristic
384#10587502C2311yescharacteristic
385C24×C17C2411yescharacteristic
386C24×C17C2411yescharacteristic
387C23×D17—22no—
388C23×D17—22no—
389C23×D17—22no—
390C23×D17—22no—
391C23×D17—22no—
392C23×D17—22no—
393C23×D17—22no—
394C23×D17—22no—
395C23×D17—41no—
396C23×D17—41no—
397C23×D17—41no—
398C23×D17—41no—
399C23×D17—41no—
400C23×D17—41no—
401C23×D17C2411yescharacteristic
402C23×D17C2411yescharacteristic
403C23×D17C2411yescharacteristic
404C2×D4×C17—22no—
405C2×D4×C17—22no—
406C2×D4×C17—41no—
407C22×C4×C17—22no—
408C22×C4×C17—22no—
409C22×C4×C17—41no—
410C22×C4×C17C2411yescharacteristic
411C22×C4×C17C2411yescharacteristic
412C22×C4×C17C2411yescharacteristic
413C22×C4×C17C2411yescharacteristic
414C22×C4×C17C2411yescharacteristic
415C22×C4×C17C2411yescharacteristic
416C22×C4×C17C2411yescharacteristic
417C22×C4×C17C2411yescharacteristic
418C22×C4×C17C2411yescharacteristic
419C22×C4×C17C2411yescharacteristic
420C22×C4×C17C2411yescharacteristic
421C22×C4×C17C2411yescharacteristic
422C22×C4×C17C2411yescharacteristic
423C2×C22⋊D17—22no—
424C2×C22⋊D17—22no—
425C2×C22⋊D17—22no—
426C2×C22⋊D17—22no—
427C2×C22⋊D17—41no—
428C2×C22⋊D17—41no—
429C22×Dic17—22no—
430C22×Dic17—22no—
431C22×Dic17—41no—
432C22×Dic17C2411yescharacteristic
433C22×Dic17C2411yescharacteristic
434C22×Dic17C2411yescharacteristic
435C22×Dic17C2411yescharacteristic
436C22×Dic17C2411yescharacteristic
437C22×Dic17C2411yescharacteristic
438C22×Dic17C2411yescharacteristic
439C22×Dic17C2411yescharacteristic
440C22×Dic17C2411yescharacteristic
441C22×Dic17C2411yescharacteristic
442C22×Dic17C2411yescharacteristic
443C22×Dic17C2411yescharacteristic
444C22×Dic17C2411yescharacteristic
445D4×D17—416no—
446C2×D68—22no—
447C2×D68—22no—
448C2×D68—41no—
449C2×C4×D17—22no—
450C2×C4×D17—22no—
451C2×C4×D17—22no—
452C2×C4×D17—22no—
453C2×C4×D17—22no—
454C2×C4×D17—22no—
455C2×C4×D17—22no—
456C2×C4×D17—22no—
457C2×C4×D17—41no—
458C2×C4×D17—41no—
459C2×C4×D17—41no—
460C2×C4×D17—41no—
461C2×C4×D17—41no—
462C2×C4×D17—41no—
463C2×C4×D17—41no—
464C2×C4×D17—41no—
465C2×C4×D17—41no—
466C2×C4×D17—41no—
467C2×C4×D17—416no—
468C2×C4×D17C2×D414yes—
469C2×C4×D17C2×D414yes—
470C2×C4×D17C2×D414yes—
471C2×Dic34—22no—
472C2×Dic34—22no—
473C2×Dic34—22no—
474C2×Dic34—22no—
475C2×Dic34—41no—
476C2×Dic34—41no—
477C2×Dic34—41no—
478C2×Dic34—41no—
479C2×Dic34—41no—
480C2×Dic34—41no—
481C2×Dic34—41no—
482C2×Dic34—41no—
483C4⋊C4×C17—22no—
484C4⋊C4×C17—22no—
485C4⋊C4×C17—22no—
486C4⋊C4×C17—22no—
487C4⋊C4×C17—22no—
488C4⋊C4×C17—22no—
489C4⋊C4×C17—41no—
490C4⋊C4×C17—41no—
491C4⋊C4×C17—41no—
492C4⋊C4×C17—41no—
493C4⋊C4×C17—41no—
494C4⋊C4×C17C2×D414yes—
495C22⋊C4×C17—22no—
496C22⋊C4×C17—22no—
497C22⋊C4×C17—22no—
498C22⋊C4×C17—22no—
499C22⋊C4×C17—41no—
500C22⋊C4×C17—41no—
501C22⋊C4×C17—41no—
502C22⋊C4×C17—41no—
503C22⋊C4×C17—41no—
504C22⋊C4×C17—41no—
505C22⋊C4×C17—41no—
506C42×C17—22no—
507C42×C17—41no—
508C22⋊Dic17—22no—
509C22⋊Dic17—22no—
510C22⋊Dic17—22no—
511C22⋊Dic17—22no—
512C22⋊Dic17—22no—
513C22⋊Dic17—22no—
514C22⋊Dic17—41no—
515C22⋊Dic17—41no—
516C22⋊Dic17—41no—
517C22⋊Dic17—41no—
518C22⋊Dic17—41no—
519#63227—22no—
520#63227—22no—
521#63227—22no—
522#63227—22no—
523#63227—22no—
524#63227—22no—
525#63227—22no—
526#63227—22no—
527#63227—22no—
528#63227—22no—
529#63227—22no—
530#63227—22no—
531#63227—22no—
532#63227—22no—
533#63227—22no—
534#63227—22no—
535#63227—22no—
536#63227—22no—
537#63227—41no—
538#63227—41no—
539#63227—41no—
540#63227—41no—
541#63227—41no—
542#63227—41no—
543#63227—41no—
544#63227—41no—
545#63227—41no—
546#63227—41no—
547#63227—41no—
548#63227—41no—
549C4⋊Dic17—22no—
550C4⋊Dic17—22no—
551C4⋊Dic17—22no—
552C4⋊Dic17—22no—
553C4⋊Dic17—22no—
554C4⋊Dic17—22no—
555C4⋊Dic17—41no—
556C4⋊Dic17—41no—
557C4⋊Dic17—41no—
558C4⋊Dic17—41no—
559C4⋊Dic17—41no—
560C4⋊Dic17C2×D414yes—
561#63225—22no—
562#63225—22no—
563#63225—22no—
564#63225—22no—
565#63225—22no—
566#63225—22no—
567#63225—22no—
568#63225—22no—
569#63225—41no—
570#63225—41no—
571#63225—41no—
572#63225—41no—
573#63225—41no—
574#63225—41no—
575#63225—41no—
576#63225—41no—
577#63225—41no—
578#63225—41no—
579#63225C2×D414yes—
580#63225C2×D414yes—
581C4×Dic17—22no—
582C4×Dic17—22no—
583C4×Dic17—22no—
584C4×Dic17—41no—
585C4×Dic17—41no—
586C4×Dic17—41no—
587#36711—171nomaximal, Sylow
588C23×C17—21no—
589C23×C17—21no—
590C23×C17—21no—
591C23×C17—21no—
592C23×C17—21no—
593C23×C17—21no—
594C23×C17—21no—
595C23×C17—21no—
596C23×C17—21no—
597C23×C17—21no—
598C23×C17—21no—
599C23×C17—21no—
600C23×C17—21no—
601C23×C17H(5,𝔽2)12yes—
602C23×C17C2511yescharacteristic
603C22×D17—21no—
604C22×D17—21no—
605C22×D17—21no—
606C22×D17—21no—
607C22×D17—28no—
608C22×D17—21no—
609C22×D17—21no—
610C22×D17—21no—
611C22×D17—21no—
612C22×D17—21no—
613C22×D17—21no—
614C22×D17—21no—
615C22×D17—21no—
616C22×D17—21no—
617C22×D17—21no—
618C22×D17—21no—
619C22×D17—21no—
620C22×D17—21no—
621C22×D17—44no—
622C22×D17—44no—
623C22×D17—44no—
624C22×D17—44no—
625C22×D17—44no—
626C22×D17—44no—
627C22×D17—44no—
628C22×D17—44no—
629C22×D17—44no—
630C22×D17—82no—
631C22×D17—82no—
632C22×D17—82no—
633C22×D17—82no—
634C22×D17C22×D412yes—
635C22×D17H(5,𝔽2)12yes—
636C22×D172−1+412yes—
637C22×D172−1+412yes—
638D4×C17—44no—
639C2×C4×C17—21no—
640C2×C4×C17—21no—
641C2×C4×C17—21no—
642C2×C4×C17—21no—
643C2×C4×C17—21no—
644C2×C4×C17—21no—
645C2×C4×C17—21no—
646C2×C4×C17—21no—
647C2×C4×C17—21no—
648C2×C4×C17—21no—
649C2×C4×C17—21no—
650C2×C4×C17—21no—
651C2×C4×C17—21no—
652C2×C4×C17—21no—
653C2×C4×C17—21no—
654C2×C4×C17—21no—
655C2×C4×C17—21no—
656C2×C4×C17—21no—
657C2×C4×C17—21no—
658C2×C4×C17—21no—
659C2×C4×C17—21no—
660C2×C4×C17—21no—
661C2×C4×C17—21no—
662C2×C4×C17—21no—
663C2×C4×C17—21no—
664C2×C4×C17—21no—
665C2×C4×C17—21no—
666C2×C4×C17—21no—
667C2×C4×C17—21no—
668C2×C4×C17—21no—
669C2×C4×C17—21no—
670C2×C4×C17—21no—
671C2×C4×C17—21no—
672C2×C4×C17—21no—
673C2×C4×C17—21no—
674C2×C4×C17—21no—
675C2×C4×C17—44no—
676C2×C4×C17C22×D412yes—
677C2×C4×C17C22×D412yes—
678C2×C4×C17C22×D412yes—
679C22⋊D17—44no—
680C22⋊D17—44no—
681C2×Dic17—21no—
682C2×Dic17—21no—
683C2×Dic17—21no—
684C2×Dic17—21no—
685C2×Dic17—21no—
686C2×Dic17—21no—
687C2×Dic17—21no—
688C2×Dic17—21no—
689C2×Dic17—21no—
690C2×Dic17—21no—
691C2×Dic17—21no—
692C2×Dic17—21no—
693C2×Dic17—21no—
694C2×Dic17—21no—
695C2×Dic17—21no—
696C2×Dic17—21no—
697C2×Dic17—21no—
698C2×Dic17—21no—
699C2×Dic17—21no—
700C2×Dic17—21no—
701C2×Dic17—21no—
702C2×Dic17—21no—
703C2×Dic17—21no—
704C2×Dic17—21no—
705C2×Dic17—21no—
706C2×Dic17—21no—
707C2×Dic17—21no—
708C2×Dic17—21no—
709C2×Dic17—21no—
710C2×Dic17—21no—
711C2×Dic17—21no—
712C2×Dic17—21no—
713C2×Dic17—21no—
714C2×Dic17—21no—
715C2×Dic17—21no—
716C2×Dic17—21no—
717C2×Dic17—44no—
718C2×Dic17C22×D412yes—
719C2×Dic17C22×D412yes—
720C2×Dic17C22×D412yes—
721D68—44no—
722C4×D17—28no—
723C4×D17—44no—
724C4×D17—44no—
725C4×D17—44no—
726C4×D17—44no—
727C4×D17—44no—
728C4×D17—44no—
729Dic34—82no—
730Dic34—82no—
731Dic34—82no—
732Dic34—82no—
733C2×#544—171no—
734C22×#123—171no—
735#2848—171no—
736#2848—171no—
737#2694—171no—
738#2694—171no—
739#2694—171no—
740#2694—171no—
741#2694—171no—
742#2694—171no—
743#2694—171no—
744#2694D1711yescharacteristic, complemented
745#2674—171no—
746#2674—171no—
747#2674—171no—
748#2674—171no—
749#2674—171no—
750#2674—171no—
751#2674—171no—
752#2674—171no—
753#2626—171no—
754#2626—171no—
755#2583—171no—
756#2583—171no—
757#2482—171no—
758#2482—171no—
759#2482—171no—
760#2482—171no—
761#2435—171no—
762#2435—171no—
763#2313—171no—
764C22×C17—22no—
765C22×C17—22no—
766C22×C17—22no—
767C22×C17—41no—
768C22×C17—41no—
769C22×C17—41no—
770C22×C17—41no—
771C22×C17—41no—
772C22×C17—41no—
773C22×C17—41no—
774C22×C17—41no—
775C22×C17—41no—
776C22×C17—41no—
777C22×C17—41no—
778C22×C17C23×D411yescharacteristic
779C22×C17C2×H(5,𝔽2)11yescharacteristic
780C22×C17C2×H(5,𝔽2)11yescharacteristic
781C22×C17C2×2−1+411yescharacteristic
782C22×C17C2×2−1+411yescharacteristic
783C22×C17#58511yescharacteristic
784C22×C17#58511yescharacteristic
785C2×D17—22no—
786C2×D17—22no—
787C2×D17—22no—
788C2×D17—22no—
789C2×D17—22no—
790C2×D17—22no—
791C2×D17—22no—
792C2×D17—22no—
793C2×D17—22no—
794C2×D17—416no—
795C2×D17—41no—
796C2×D17—41no—
797C2×D17—41no—
798C2×D17—41no—
799C2×D17—41no—
800C2×D17—41no—
801C2×D17—41no—
802C2×D17—41no—
803C2×D17—41no—
804C2×D17—41no—
805C2×D17—41no—
806C2×D17—88no—
807C2×D17#53614yes—
808C4×C17—22no—
809C4×C17—22no—
810C4×C17—22no—
811C4×C17—41no—
812C4×C17—41no—
813C4×C17—41no—
814C4×C17—41no—
815C4×C17—41no—
816C4×C17—41no—
817C4×C17—41no—
818C4×C17—41no—
819C4×C17—41no—
820C4×C17—41no—
821Dic17—22no—
822Dic17—22no—
823Dic17—22no—
824Dic17—41no—
825Dic17—41no—
826Dic17—41no—
827Dic17—41no—
828Dic17—41no—
829Dic17—41no—
830Dic17—41no—
831Dic17—41no—
832Dic17—41no—
833Dic17—41no—
834C23×D4—171no—
835C24×C4—171no—
836#544—348no—
837C2×C4⋊Q8—171no—
838C2×C4⋊Q8—171no—
839C2×C4⋊Q8—171no—
840C2×C4⋊Q8—171no—
841C2×#125—171no—
842C2×#125—171no—
843C2×#125—171no—
844C2×#125C2×D1711yescharacteristic, complemented
845C2×#124—171no—
846C2×#124—171no—
847C2×#124—171no—
848C2×#124—171no—
849C2×#123—171no—
850C2×#123—171no—
851C2×#123—171no—
852C2×#123—171no—
853C2×#123—171no—
854C2×#123—171no—
855C2×#123—171no—
856C2×#123—348no—
857C2×#123C2×D1711yescharacteristic
858C2×C22⋊Q8—171no—
859C2×C22⋊Q8—171no—
860C2×C22⋊Q8—171no—
861C2×C22⋊Q8—171no—
862C2×C22⋊Q8—171no—
863C2×C22⋊Q8—171no—
864C2×C22⋊Q8—171no—
865C2×C22⋊Q8—171no—
866C2×#117—171no—
867C2×#117—171no—
868C22×C4⋊C4—171no—
869C22×C4⋊C4—171no—
870C22×C22⋊C4—171no—
871C22×C22⋊C4—171no—
872C22×C22⋊C4—171no—
873#399—171no—
874#399—171no—
875#399—171no—
876#399—171no—
877#399—171no—
878#399—171no—
879#399—171no—
880#399—171no—
881#399—171no—
882#399—171no—
883#399C2×D1711yescharacteristic, complemented
884#399C2×D1711yescharacteristic, complemented
885#398—171no—
886#398—171no—
887#398—171no—
888#398C2×D1711yescharacteristic, complemented
889#397—171no—
890#397—171no—
891#397—171no—
892#397—171no—
893#397—171no—
894#397—171no—
895#397—171no—
896#397C2×D1711yescharacteristic, complemented
897#396—171no—
898#396—171no—
899#396—171no—
900#396—171no—
901#396—171no—
902#396—171no—
903#396—171no—
904#396C2×D1711yescharacteristic, complemented
905#395—171no—
906#395—171no—
907#395—171no—
908#395—171no—
909#394—171no—
910#394—171no—
911#394—171no—
912#394—171no—
913#394—171no—
914#394—171no—
915#394—171no—
916#394C2×D1711yescharacteristic
917#393—171no—
918#393—171no—
919#393—171no—
920#393—171no—
921#390—171no—
922#390—171no—
923#390—171no—
924#390C2×D1711yescharacteristic
925#389—171no—
926#389—171no—
927#389—171no—
928#389—171no—
929#389—171no—
930#389—171no—
931#389—171no—
932#389C2×D1711yescharacteristic, complemented
933#388—171no—
934#388—171no—
935#388—171no—
936#388—171no—
937#388—171no—
938#388—171no—
939#388—171no—
940#388—171no—
941#388—171no—
942#388—171no—
943#388—171no—
944#388—171no—
945#388—171no—
946#388—171no—
947#388C2×D1711yescharacteristic, complemented
948#388C2×D1711yescharacteristic, complemented
949#387—171no—
950#387—171no—
951#387—171no—
952#387—171no—
953#387—171no—
954#387—171no—
955#387—171no—
956#387C2×D1711yescharacteristic, complemented
957#385—171no—
958#385—171no—
959#385—171no—
960#385—171no—
961#385—171no—
962#385—171no—
963#385—171no—
964#385—171no—
965#385—171no—
966#385—171no—
967#385—171no—
968#385—171no—
969#385—171no—
970#385—171no—
971#385—171no—
972#385C2×D1711yescharacteristic, complemented
973#381—171no—
974#381—171no—
975#380—171no—
976#380—171no—
977#380—171no—
978#380—171no—
979#380—171no—
980#380C2×D1711yescharacteristic, complemented
981#379—171no—
982#379—171no—
983#379—171no—
984#379—171no—
985#379—171no—
986#379—171no—
987#379—171no—
988#379—171no—
989C4×C22⋊C4—171no—
990C4×C22⋊C4—171no—
991C2×C17—42no—
992C2×C17—81no—
993C2×C17C2×#53611yescharacteristic
994C2×C17#348411yescharacteristic
995C2×C17#348711yescharacteristic
996C2×C17#353511yescharacteristic
997C2×C17#353511yescharacteristic
998C2×C17#353511yescharacteristic
999C2×C17#353511yescharacteristic
1000D17—24no—
1001D17—42no—
1002D17—81no—
1003C25—171no—
1004C25—171no—
1005C22×Q8—171no—
1006C22×Q8—171no—
1007C22×Q8—171no—
1008C22×Q8—171no—
1009C22×D4—171no—
1010C22×D4—171no—
1011C22×D4—171no—
1012C22×D4—344no—
1013C22×D4—682no—
1014C22×D4—682no—
1015C22×D4C22×D1711yescharacteristic
1016C23×C4—171no—
1017C23×C4—171no—
1018C23×C4—171no—
1019C23×C4—171no—
1020C23×C4—171no—
1021C23×C4—171no—
1022C23×C4—171no—
1023C23×C4—171no—
1024C23×C4—344no—
1025C23×C4—682no—
1026C23×C4—682no—
1027C23×C4C22×D1711yescharacteristic
1028C4⋊Q8—344no—
1029C4⋊Q8—344no—
1030C4⋊Q8—344no—
1031C4⋊Q8—344no—
1032#125—24no—
1033#125—344no—
1034#125—344no—
1035#125—344no—
1036#124—682no—
1037#124—682no—
1038#124—682no—
1039#124—682no—
1040#123—24no—
1041#123—344no—
1042#123—344no—
1043#123—344no—
1044#123—344no—
1045#123—344no—
1046#123—344no—
1047#123—344no—
1048C22⋊Q8—344no—
1049C22⋊Q8—344no—
1050C22⋊Q8—344no—
1051C22⋊Q8—344no—
1052C22⋊Q8—682no—
1053C22⋊Q8—682no—
1054C22⋊Q8—682no—
1055C22⋊Q8—682no—
1056#117—344no—
1057#117—344no—
1058C2×C4⋊C4—171no—
1059C2×C4⋊C4—171no—
1060C2×C4⋊C4—171no—
1061C2×C4⋊C4—178no—
1062C2×C4⋊C4—171no—
1063C2×C4⋊C4—171no—
1064C2×C4⋊C4—171no—
1065C2×C4⋊C4—171no—
1066C2×C4⋊C4—171no—
1067C2×C4⋊C4—171no—
1068C2×C4⋊C4—171no—
1069C2×C4⋊C4—171no—
1070C2×C4⋊C4—171no—
1071C2×C4⋊C4—171no—
1072C2×C4⋊C4—171no—
1073C2×C4⋊C4—171no—
1074C2×C4⋊C4—171no—
1075C2×C4⋊C4—171no—
1076C2×C4⋊C4—171no—
1077C2×C4⋊C4—171no—
1078C2×C4⋊C4—171no—
1079C2×C4⋊C4—171no—
1080C2×C4⋊C4—171no—
1081C2×C4⋊C4—171no—
1082C2×C4⋊C4—171no—
1083C2×C4⋊C4—171no—
1084C2×C4⋊C4—171no—
1085C2×C4⋊C4—171no—
1086C2×C4⋊C4—171no—
1087C2×C4⋊C4—171no—
1088C2×C4⋊C4—171no—
1089C2×C4⋊C4—171no—
1090C2×C4⋊C4—171no—
1091C2×C4⋊C4—344no—
1092C2×C4⋊C4C22×D1711yescharacteristic
1093C2×C4⋊C4C22×D1711yescharacteristic
1094C2×C4⋊C4C22×D1711yescharacteristic
1095C2×C4⋊C4C22×D1711yescharacteristic
1096C2×C4⋊C4C22×D1711yescharacteristic
1097C2×C4⋊C4C22×D1711yescharacteristic
1098C2×C4⋊C4C22×D1711yescharacteristic
1099C2×C4⋊C4C22×D1711yescharacteristic
1100C2×C4⋊C4C22×D1711yescharacteristic
1101C2×C4⋊C4C22×D1711yescharacteristic
1102C2×C4⋊C4C22×D1711yescharacteristic
1103C2×C4⋊C4C22×D1711yescharacteristic
1104C2×C22⋊C4—171no—
1105C2×C22⋊C4—171no—
1106C2×C22⋊C4—171no—
1107C2×C22⋊C4—171no—
1108C2×C22⋊C4—171no—
1109C2×C22⋊C4—171no—
1110C2×C22⋊C4—171no—
1111C2×C22⋊C4—171no—
1112C2×C22⋊C4—171no—
1113C2×C22⋊C4—171no—
1114C2×C22⋊C4—171no—
1115C2×C22⋊C4—171no—
1116C2×C22⋊C4—171no—
1117C2×C22⋊C4—171no—
1118C2×C22⋊C4—171no—
1119C2×C22⋊C4—171no—
1120C2×C22⋊C4—171no—
1121C2×C22⋊C4—171no—
1122C2×C22⋊C4—171no—
1123C2×C22⋊C4—171no—
1124C2×C22⋊C4—171no—
1125C2×C22⋊C4—171no—
1126C2×C22⋊C4—171no—
1127C2×C22⋊C4—171no—
1128C2×C22⋊C4—171no—
1129C2×C22⋊C4—171no—
1130C2×C22⋊C4—171no—
1131C2×C22⋊C4—171no—
1132C2×C22⋊C4—171no—
1133C2×C22⋊C4—171no—
1134C2×C22⋊C4—171no—
1135C2×C22⋊C4—171no—
1136C2×C22⋊C4—171no—
1137C2×C22⋊C4—171no—
1138C2×C22⋊C4—171no—
1139C2×C22⋊C4—171no—
1140C2×C22⋊C4—171no—
1141C2×C22⋊C4—171no—
1142C2×C22⋊C4—171no—
1143C2×C22⋊C4—171no—
1144C2×C22⋊C4—171no—
1145C2×C22⋊C4—344no—
1146C2×C22⋊C4—344no—
1147C2×C22⋊C4—344no—
1148C2×C22⋊C4C22×D1711yescharacteristic
1149C2×C22⋊C4C22×D1711yescharacteristic
1150C2×C22⋊C4C22×D1711yescharacteristic
1151C2×C22⋊C4C22×D1711yescharacteristic
1152C2×C22⋊C4C22×D1711yescharacteristic
1153C2×C22⋊C4C22×D1711yescharacteristic
1154C2×C22⋊C4C22×D1711yescharacteristic
1155C2×C22⋊C4C22×D1711yescharacteristic
1156C2×C22⋊C4C22×D1711yescharacteristic
1157C2×C22⋊C4C22×D1711yescharacteristic
1158C2×C22⋊C4C22×D1711yescharacteristic
1159C2×C42—171no—
1160C2×C42—171no—
1161C2×C42—171no—
1162C2×C42—171no—
1163C2×C42—171no—
1164C2×C42—171no—
1165C2×C42C22×D1711yescharacteristic
1166C2×C42C22×D1711yescharacteristic
1167#95—171no—
1168#95—171no—
1169#95—171no—
1170#95—171no—
1171#95—171no—
1172#95—171no—
1173#95—171no—
1174#95—171no—
1175#95—171no—
1176#95—171no—
1177#95—171no—
1178#95—171no—
1179#95—171no—
1180#95—171no—
1181#95—171no—
1182#95—171no—
1183#95—171no—
1184#95—171no—
1185#95—171no—
1186#95—171no—
1187#95—171no—
1188#95—171no—
1189#95—171no—
1190#95—171no—
1191#95C22×D1711yescharacteristic
1192#95C22×D1711yescharacteristic
1193#95C22×D1711yescharacteristic
1194#95C22×D1711yescharacteristic
1195#95C22×D1711yescharacteristic
1196#95C22×D1711yescharacteristic
1197#95C22×D1711yescharacteristic
1198#95C22×D1711yescharacteristic
1199C17#3671111yescharacteristic, complemented, Sylow
1200C24—171no—
1201C24—171no—
1202C24—171no—
1203C24—342no—
1204C24—342no—
1205C24—342no—
1206C24—342no—
1207C24—342no—
1208C24—342no—
1209C24—342no—
1210C24—342no—
1211C24—681no—
1212C24—681no—
1213C24—681no—
1214C24—681no—
1215C24—681no—
1216C24—681no—
1217C24C23×D1711yescharacteristic
1218C24C23×D1711yescharacteristic
1219C2×Q8—342no—
1220C2×Q8—342no—
1221C2×Q8—342no—
1222C2×Q8—342no—
1223C2×Q8—681no—
1224C2×Q8—681no—
1225C2×Q8—681no—
1226C2×Q8—681no—
1227C2×Q8—681no—
1228C2×Q8—681no—
1229C2×Q8—681no—
1230C2×Q8—681no—
1231C2×D4—22no—
1232C2×D4—22no—
1233C2×D4—41no—
1234C2×D4—342no—
1235C2×D4—342no—
1236C2×D4—342no—
1237C2×D4—342no—
1238C2×D4—342no—
1239C2×D4—342no—
1240C2×D4—681no—
1241C2×D4—681no—
1242C2×D4—681no—
1243C2×D4—6816no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—41no—
1247C22×C4—171no—
1248C22×C4—171no—
1249C22×C4—171no—
1250C22×C4—174no—
1251C22×C4—174no—
1252C22×C4—174no—
1253C22×C4—171no—
1254C22×C4—171no—
1255C22×C4—171no—
1256C22×C4—171no—
1257C22×C4—171no—
1258C22×C4—171no—
1259C22×C4—171no—
1260C22×C4—171no—
1261C22×C4—171no—
1262C22×C4—171no—
1263C22×C4—342no—
1264C22×C4—342no—
1265C22×C4—342no—
1266C22×C4—342no—
1267C22×C4—342no—
1268C22×C4—342no—
1269C22×C4—342no—
1270C22×C4—342no—
1271C22×C4—342no—
1272C22×C4—342no—
1273C22×C4—681no—
1274C22×C4—681no—
1275C22×C4—681no—
1276C22×C4—681no—
1277C22×C4—681no—
1278C22×C4—681no—
1279C22×C4—681no—
1280C22×C4—681no—
1281C22×C4—681no—
1282C22×C4—681no—
1283C22×C4—6816no—
1284C22×C4—681no—
1285C22×C4C23×D1711yescharacteristic
1286C22×C4C23×D1711yescharacteristic
1287C22×C4C23×D1711yescharacteristic
1288C22×C4C23×D1711yescharacteristic
1289C22×C4C23×D1711yescharacteristic
1290C22×C4C23×D1711yescharacteristic
1291C22×C4C23×D1711yescharacteristic
1292C22×C4C23×D1711yescharacteristic
1293C22×C4C23×D1711yescharacteristic
1294C22×C4C23×D1711yescharacteristic
1295C22×C4C23×D1711yescharacteristic
1296C22×C4C23×D1711yescharacteristic
1297C22×C4C23×D1711yescharacteristic
1298C4⋊C4—22no—
1299C4⋊C4—22no—
1300C4⋊C4—22no—
1301C4⋊C4—22no—
1302C4⋊C4—22no—
1303C4⋊C4—22no—
1304C4⋊C4—41no—
1305C4⋊C4—41no—
1306C4⋊C4—41no—
1307C4⋊C4—41no—
1308C4⋊C4—41no—
1309C4⋊C4—174no—
1310C4⋊C4—174no—
1311C4⋊C4—174no—
1312C4⋊C4—342no—
1313C4⋊C4—342no—
1314C4⋊C4—342no—
1315C4⋊C4—342no—
1316C4⋊C4—342no—
1317C4⋊C4—342no—
1318C4⋊C4—342no—
1319C4⋊C4—342no—
1320C4⋊C4—342no—
1321C4⋊C4—342no—
1322C4⋊C4—342no—
1323C4⋊C4—342no—
1324C4⋊C4—342no—
1325C4⋊C4—342no—
1326C4⋊C4—681no—
1327C4⋊C4—681no—
1328C4⋊C4—681no—
1329C4⋊C4—681no—
1330C4⋊C4—681no—
1331C4⋊C4—681no—
1332C4⋊C4—681no—
1333C4⋊C4—681no—
1334C4⋊C4—681no—
1335C4⋊C4—681no—
1336C4⋊C4—681no—
1337C4⋊C4—681no—
1338C4⋊C4—681no—
1339C4⋊C4—681no—
1340C4⋊C4—681no—
1341C4⋊C4D4×D1714yes—
1342C22⋊C4—22no—
1343C22⋊C4—22no—
1344C22⋊C4—22no—
1345C22⋊C4—22no—
1346C22⋊C4—41no—
1347C22⋊C4—41no—
1348C22⋊C4—41no—
1349C22⋊C4—41no—
1350C22⋊C4—41no—
1351C22⋊C4—41no—
1352C22⋊C4—41no—
1353C22⋊C4—342no—
1354C22⋊C4—342no—
1355C22⋊C4—342no—
1356C22⋊C4—342no—
1357C22⋊C4—342no—
1358C22⋊C4—342no—
1359C22⋊C4—342no—
1360C22⋊C4—342no—
1361C22⋊C4—342no—
1362C22⋊C4—342no—
1363C22⋊C4—342no—
1364C22⋊C4—342no—
1365C22⋊C4—342no—
1366C22⋊C4—342no—
1367C22⋊C4—342no—
1368C22⋊C4—342no—
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—681no—
1392C22⋊C4—681no—
1393C22⋊C4—681no—
1394C42—22no—
1395C42—41no—
1396C42—342no—
1397C42—342no—
1398C42—342no—
1399C42—681no—
1400C42—681no—
1401C42—681no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—172no—
1416C23—172no—
1417C23—172no—
1418C23—172no—
1419C23—348no—
1420C23—341no—
1421C23—341no—
1422C23—341no—
1423C23—341no—
1424C23—341no—
1425C23—341no—
1426C23—341no—
1427C23—341no—
1428C23—341no—
1429C23—341no—
1430C23—341no—
1431C23—341no—
1432C23—341no—
1433C23—341no—
1434C23—341no—
1435C23—341no—
1436C23—341no—
1437C23—684no—
1438C23—684no—
1439C23—684no—
1440C23—684no—
1441C23—684no—
1442C23—684no—
1443C23—684no—
1444C23—684no—
1445C23—684no—
1446C23—1362no—
1447C23—1362no—
1448C23—1362no—
1449C23—1362no—
1450C23#1058769612yes—
1451C23C24×D1711yescharacteristic
1452Q8—1362no—
1453Q8—1362no—
1454Q8—1362no—
1455Q8—1362no—
1456D4—44no—
1457D4—684no—
1458D4—684no—
1459D4—684no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—44no—
1497C2×C4—172no—
1498C2×C4—172no—
1499C2×C4—172no—
1500C2×C4—348no—
1501C2×C4—341no—
1502C2×C4—341no—
1503C2×C4—341no—
1504C2×C4—341no—
1505C2×C4—341no—
1506C2×C4—341no—
1507C2×C4—341no—
1508C2×C4—341no—
1509C2×C4—341no—
1510C2×C4—341no—
1511C2×C4—341no—
1512C2×C4—341no—
1513C2×C4—341no—
1514C2×C4—341no—
1515C2×C4—341no—
1516C2×C4—341no—
1517C2×C4—341no—
1518C2×C4—341no—
1519C2×C4—341no—
1520C2×C4—341no—
1521C2×C4—341no—
1522C2×C4—341no—
1523C2×C4—341no—
1524C2×C4—341no—
1525C2×C4—341no—
1526C2×C4—341no—
1527C2×C4—341no—
1528C2×C4—341no—
1529C2×C4—341no—
1530C2×C4—341no—
1531C2×C4—341no—
1532C2×C4—341no—
1533C2×C4—341no—
1534C2×C4—341no—
1535C2×C4—341no—
1536C2×C4—341no—
1537C2×C4—684no—
1538C2×C4—684no—
1539C2×C4—684no—
1540C2×C4—684no—
1541C2×C4—684no—
1542C2×C4—684no—
1543C2×C4—684no—
1544C2×C4C2×D4×D1712yes—
1545C2×C4C2×D4×D1712yes—
1546C2×C4C2×D4×D1712yes—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—174no—
1562C22—342no—
1563C22—342no—
1564C22—342no—
1565C22—342no—
1566C22—342no—
1567C22—342no—
1568C22—342no—
1569C22—342no—
1570C22—342no—
1571C22—6816no—
1572C22—681no—
1573C22—681no—
1574C22—681no—
1575C22—681no—
1576C22—681no—
1577C22—681no—
1578C22—681no—
1579C22—681no—
1580C22—681no—
1581C22—681no—
1582C22—681no—
1583C22—1368no—
1584C22C22×D4×D1711yescharacteristic
1585C22H(5,𝔽2)×D1711yescharacteristic
1586C22C2×#1058769611yescharacteristic
1587C222−1+4×D1711yescharacteristic
1588C222−1+4×D1711yescharacteristic
1589C22#1176364411yescharacteristic
1590C22#1176364511yescharacteristic
1591C4—22no—
1592C4—22no—
1593C4—22no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—342no—
1605C4—342no—
1606C4—342no—
1607C4—681no—
1608C4—681no—
1609C4—681no—
1610C4—681no—
1611C4—681no—
1612C4—681no—
1613C4—681no—
1614C4—681no—
1615C4—681no—
1616C4—681no—
1617C2—42no—
1618C2—81no—
1619C2—344no—
1620C2—682no—
1621C2—1361no—
1622C2D17×#53611yescharacteristic
1623C2#1454241411yescharacteristic
1624C2#1454243711yescharacteristic
1625C2#1454298411yescharacteristic
1626C2#1454299111yescharacteristic
1627C2#1454299211yescharacteristic
1628C2#1454299611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D17
commutator, socle, cosocleC23×C17C25
FittingC17×#2694C2
prime radicalC22×D4×D17C22
hypercenter#2694D17
hypocenterC17#36711
LCSG ▷ C23×C17 ▷ C17
UCSC1 ◁ C23 ◁ #2694

Complements

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

NH ≅ G/Ntype
1. C2×#11763439C2semidirect
3. #14537072C2semidirect
4. #14537070C2semidirect
5. #14535311C2semidirect
6. #14535309C2semidirect
7. #14535306C2semidirect
8. #14535304C2semidirect
9. #14535299C2semidirect
10. #14535298C2semidirect
11. #14535297C2semidirect
12. #14535072C2semidirect
13. #14535069C2semidirect
14. #14535068C2semidirect
15. #14535067C2semidirect
16. #14535066C2semidirect
17. #14535065C2semidirect
18. #14535063C2semidirect
19. #14535062C2semidirect
20. #14534594C2semidirect
21. #14534590C2semidirect
22. #14534162C2semidirect
23. #14534158C2semidirect
24. #14533059C2semidirect
25. #14533056C2semidirect
26. #14533056C2semidirect
27. #14533053C2semidirect
30. #14531383C2semidirect
31. C17×#2694C2semidirect
35. C2×#10587555C22semidirect
36. C2×#10587574C22semidirect
37. C2×#10587574C22semidirect
38. C2×#10587574C22semidirect
39. C2×#10587576C22semidirect
40. C2×#10587575C22semidirect
41. C2×#10587575C22semidirect
56. C2×#10587583C22semidirect
57. C2×#10587610C22semidirect
60. C2×#10587582C22semidirect
61. C2×#10587564C22semidirect
69. #11762746C22semidirect
70. #11762745C22semidirect
71. #11762745C22semidirect
72. #11762745C22semidirect
73. #11762745C22semidirect
74. #11762744C22semidirect
75. #11762744C22semidirect
76. #11762744C22semidirect
77. #11762744C22semidirect
78. #11762744C22semidirect
79. #11762743C22semidirect
80. #11762742C22semidirect
81. #11762740C22semidirect
82. #11762738C22semidirect
83. #11762738C22semidirect
84. #11762737C22semidirect
85. #11762737C22semidirect
86. #11762736C22semidirect
87. #11762735C22semidirect
88. #11762734C22semidirect
89. #11762732C22semidirect
90. #11762732C22semidirect
91. #11762732C22semidirect
92. #11762731C22semidirect
93. #11762731C22semidirect
94. #11762731C22semidirect
95. #11762731C22semidirect
96. #11762730C22semidirect
97. #11762730C22semidirect
98. #11762729C22semidirect
99. #11762729C22semidirect
107. #11762722C22semidirect
108. #11762722C22semidirect
109. #11762721C22semidirect
110. #11762721C22semidirect
114. #11762708C22semidirect
115. #11762708C22semidirect
116. #11762707C22semidirect
117. #11762706C22semidirect
118. #11762706C22semidirect
119. #11762704C22semidirect
120. #11762704C22semidirect
121. #11762703C22semidirect
122. #11762703C22semidirect
123. #11762702C22semidirect
124. #11762702C22semidirect
125. #11762701C22semidirect
126. #11762701C22semidirect
127. #11762700C22semidirect
128. #11762700C22semidirect
129. #11762699C22semidirect
130. #11762699C22semidirect
131. #11762698C22semidirect
132. #11762698C22semidirect
133. #11762697C22semidirect
134. #11762697C22semidirect
135. #11762696C22semidirect
136. #11762695C22semidirect
137. #11762694C22semidirect
138. #11762693C22semidirect
139. #11762692C22semidirect
140. #11762691C22semidirect
141. #11762690C22semidirect
142. #11762684C22semidirect
143. #11762684C22semidirect
148. #11762683C22semidirect
149. #11762683C22semidirect
150. #11762683C22semidirect
151. #11762682C22semidirect
156. #11762680C22semidirect
160. #11762668C22semidirect
161. #11762667C22semidirect
163. #11762666C22semidirect
174. C2×C17×#125C22semidirect
176. C17×#399C22semidirect
177. C17×#399C22semidirect
178. C17×#398C22semidirect
179. C17×#397C22semidirect
180. C17×#396C22semidirect
183. C17×#389C22semidirect
184. C17×#388C22semidirect
185. C17×#388C22semidirect
186. C17×#387C22semidirect
187. C17×#385C22semidirect
188. C17×#380C22semidirect
744. #2694D17semidirect
844. C2×#125C2×D17semidirect
883. #399C2×D17semidirect
884. #399C2×D17semidirect
888. #398C2×D17semidirect
896. #397C2×D17semidirect
904. #396C2×D17semidirect
932. #389C2×D17semidirect
947. #388C2×D17semidirect
948. #388C2×D17semidirect
956. #387C2×D17semidirect
972. #385C2×D17semidirect
980. #380C2×D17semidirect
1199. C17#36711semidirect

Maximal subgroups

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

subgroupindex
C2×#117634392
C2×#123×D172
#145370722
#145370702
#145353112
#145353092
#145353062
#145353042
#145352992
#145352982
#145352972
#145350722
#145350692
#145350682
#145350672
#145350662
#145350652
#145350632
#145350622
#145345942
#145345902
#145341622
#145341582
#145330592
#145330562
#145330532
#145324342
#145324302
#145313832
C17×#26942
#3671117