Finite Group Databasebeta

← #17205308

Subgroups — #17205308

Order 4352.

2646 conjugacy classes of subgroups.

The subgroup lattice has 1618 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11763337C211yesmaximal, characteristic, complemented
2C2×#117×D17C211yesmaximal, characteristic, complemented
3#14534481C211yesmaximal, characteristic, complemented
4#14534479C211yesmaximal, characteristic, complemented
5#14534470C211yesmaximal, characteristic, complemented
6#14534468C211yesmaximal, characteristic, complemented
7#14534388C211yesmaximal, characteristic, complemented
8#14534386C211yesmaximal, characteristic, complemented
9#14534380C211yesmaximal, characteristic, complemented
10#14534378C211yesmaximal, characteristic, complemented
11#14534262C211yesmaximal, characteristic, complemented
12#14534162C211yesmaximal, characteristic, complemented
13#14533940C211yesmaximal, characteristic, complemented
14#14533713C211yesmaximal, characteristic
15#14532190C211yesmaximal, characteristic, complemented
16#14532188C211yesmaximal, characteristic, complemented
17#14532168C211yesmaximal, characteristic, complemented
18#14532166C211yesmaximal, characteristic, complemented
19#14532060C211yesmaximal, characteristic, complemented
20#14532058C211yesmaximal, characteristic, complemented
21#14532028C211yesmaximal, characteristic, complemented
22#14532026C211yesmaximal, characteristic, complemented
23C4×#10587580C211yesmaximal, characteristic, complemented
24C4×#10587569C211yesmaximal, characteristic, complemented
25C4×#10587568C211yesmaximal, characteristic, complemented
26C4×#10587623C211yesmaximal, characteristic, complemented
27#14531248C211yesmaximal, characteristic, complemented
28#14531243C211yesmaximal, characteristic, complemented
29#14531243C211yesmaximal, characteristic, complemented
30C4×#10587558C211yesmaximal, characteristic, complemented
31C17×#2293C211yesmaximal, characteristic, complemented
32C23×C4×D17C2211yescharacteristic
33#11763337—28no—
34C2×#10587584C2211yescharacteristic, complemented
35C2×#10587565C2211yescharacteristic, complemented
36C2×#10587575C2211yescharacteristic, complemented
37C2×#10587571C2211yescharacteristic, complemented
38C2×#10587580C2211yescharacteristic
39C2×#10587580C2211yescharacteristic
40C2×#10587569C2211yescharacteristic
41C2×#10587569C2211yescharacteristic
42C2×#10587582C2211yescharacteristic
43C2×#10587570C2211yescharacteristic
44C2×#10587568C2211yescharacteristic
45C2×#10587623C2211yescharacteristic
46C2×C4×Dic34C2211yescharacteristic, complemented
47C2×C4×D68C2211yescharacteristic
48C2×C4×D68C2211yescharacteristic
49C2×C4×C22⋊D17C2211yescharacteristic
50C2×C4×C22⋊D17C2211yescharacteristic
51C2×C4×C22⋊D17C2211yescharacteristic
52C2×C4×C22⋊D17C2211yescharacteristic, complemented
53C2×#10587612C2211yescharacteristic
54C2×#10587578C2211yescharacteristic
55C2×#10587578C2211yescharacteristic
56C2×#10587558C2211yescharacteristic
57C2×#10587558C2211yescharacteristic
58C2×#10587558C2211yescharacteristic
59C2×#10587558C2211yescharacteristic
60C2×#10587558C2211yescharacteristic, complemented
61C2×#10587563C2211yescharacteristic
62C2×#10587563C2211yescharacteristic
63#117×D17—28no—
64C2×C4⋊C4×D17C2211yescharacteristic
65C2×C4⋊C4×D17C2211yescharacteristic
66C2×C22⋊C4×D17C2211yescharacteristic
67C2×C22⋊C4×D17C2211yescharacteristic
68C2×C42×D17C2211yescharacteristic
69C2×C42×D17C2211yescharacteristic
70#11762751C2211yescharacteristic, complemented
71#11762750C2211yescharacteristic, complemented
72#11762745C2211yescharacteristic
73#11762744C2211yescharacteristic
74#11762743C2211yescharacteristic, complemented
75#11762743C2211yescharacteristic, complemented
76#11762743C2211yescharacteristic, complemented
77#11762742C2211yescharacteristic, complemented
78#11762741C2211yescharacteristic, complemented
79#11762740C2211yescharacteristic, complemented
80#11762738C2211yescharacteristic
81#11762737C2211yescharacteristic
82#11762733C2211yescharacteristic
83#11762733C2211yescharacteristic, complemented
84#11762732C2211yescharacteristic
85#11762732C2211yescharacteristic
86#11762732C2211yescharacteristic, complemented
87#11762732C2211yescharacteristic, complemented
88#11762731C2211yescharacteristic
89#11762731C2211yescharacteristic, complemented
90#11762730C2211yescharacteristic, complemented
91#11762729C2211yescharacteristic, complemented
92#11762727C2211yescharacteristic
93#11762725C2211yescharacteristic, complemented
94#11762724C2211yescharacteristic
95#11762724C2211yescharacteristic
96#11762724C2211yescharacteristic, complemented
97#11762723C2211yescharacteristic
98#11762722C2211yescharacteristic
99#11762721C2211yescharacteristic
100#11762718C2211yescharacteristic
101#11762717C2211yescharacteristic
102#11762711C2211yescharacteristic
103#11762711C2211yescharacteristic
104#11762709C2211yescharacteristic
105#11762709C2211yescharacteristic
106#11762709C2211yescharacteristic
107#11762709C2211yescharacteristic
108#11762707C2211yescharacteristic, complemented
109#11762707C2211yescharacteristic, complemented
110#11762704C2211yescharacteristic, complemented
111#11762704C2211yescharacteristic, complemented
112#11762704C2211yescharacteristic, complemented
113#11762704C2211yescharacteristic, complemented
114#11762703C2211yescharacteristic
115#11762703C2211yescharacteristic
116#11762703C2211yescharacteristic, complemented
117#11762703C2211yescharacteristic, complemented
118#11762703C2211yescharacteristic, complemented
119#11762702C2211yescharacteristic, complemented
120#11762700C2211yescharacteristic
121#11762700C2211yescharacteristic
122#11762700C2211yescharacteristic, complemented
123#11762700C2211yescharacteristic, complemented
124#11762699C2211yescharacteristic
125#11762699C2211yescharacteristic
126#11762699C2211yescharacteristic, complemented
127#11762699C2211yescharacteristic, complemented
128#11762699C2211yescharacteristic, complemented
129#11762698C2211yescharacteristic, complemented
130#11762696C2211yescharacteristic, complemented
131#11762695C2211yescharacteristic, complemented
132#11762692C2211yescharacteristic, complemented
133#11762691C2211yescharacteristic, complemented
134#11762689C2211yescharacteristic
135#11762687C2211yescharacteristic
136#11762687C2211yescharacteristic
137#11762687C2211yescharacteristic
138#11762686C2211yescharacteristic
139#11762685C2211yescharacteristic
140#11762685C2211yescharacteristic
141#11762685C2211yescharacteristic
142#11762684C2211yescharacteristic
143#11762683C2211yescharacteristic
144#11762683C2211yescharacteristic
145#11762683C2211yescharacteristic
146#11762681C2211yescharacteristic
147#11762680C2211yescharacteristic
148#11762680C2211yescharacteristic
149#11762680C2211yescharacteristic
150#11762671C2211yescharacteristic
151#11762671C2211yescharacteristic
152#11762664C2211yescharacteristic
153#11762664C2211yescharacteristic
154C4×#63225C2211yescharacteristic, complemented
155C4×#63225C2211yescharacteristic, complemented
156C4×#63225C2211yescharacteristic, complemented
157C4×#63225C2211yescharacteristic, complemented
158C4×#63225C2211yescharacteristic, complemented
159C4×#63225C2211yescharacteristic, complemented
160C4×C4⋊Dic17C2211yescharacteristic, complemented
161C4×#63227C2211yescharacteristic
162C4×#63227C2211yescharacteristic
163C4×#63227C2211yescharacteristic
164C4×#63227C2211yescharacteristic
165C4×#63227C2211yescharacteristic
166C4×#63227C2211yescharacteristic
167C4×#63227C2211yescharacteristic, complemented
168C4×#63227C2211yescharacteristic, complemented
169C4×C22⋊Dic17C2211yescharacteristic
170C4×C22⋊Dic17C2211yescharacteristic, complemented
171#11762655C2211yescharacteristic, complemented
172#11762655C2211yescharacteristic, complemented
173C42×Dic17C2211yescharacteristic, complemented
174C2×C4×D4×C17C2211yescharacteristic
175C2×C17×#117C2211yescharacteristic
176C2×C17×#117C2211yescharacteristic, complemented
177C17×#390C2211yescharacteristic
178C17×#390C2211yescharacteristic
179C17×#389C2211yescharacteristic, complemented
180C17×#389C2211yescharacteristic, complemented
181C17×#388C2211yescharacteristic
182C17×#388C2211yescharacteristic
183C17×#388C2211yescharacteristic, complemented
184C17×#388C2211yescharacteristic, complemented
185C4×C4⋊C4×C17C2211yescharacteristic, complemented
186C4×C22⋊C4×C17C2211yescharacteristic
187C4×C22⋊C4×C17C2211yescharacteristic, complemented
188C43×C17C2211yescharacteristic, complemented
189C24×D17C2311yescharacteristic
190C22×D4×C17C2311yescharacteristic
191C23×C4×C17C2311yescharacteristic
192C23×C4×C17C2311yescharacteristic
193C22×C22⋊D17C2311yescharacteristic
194C22×C22⋊D17C2311yescharacteristic
195C22×C22⋊D17C2311yescharacteristic
196C22×C22⋊D17C2311yescharacteristic
197C23×Dic17C2311yescharacteristic
198C22×D68C2311yescharacteristic
199C22×D68C2311yescharacteristic
200C22×C4×D17—24no—
201C22×C4×D17—24no—
202C22×C4×D17—24no—
203C22×C4×D17C2311yescharacteristic
204C22×C4×D17C2311yescharacteristic
205C22×C4×D17C2311yescharacteristic
206C22×C4×D17C2311yescharacteristic
207C22×C4×D17C2311yescharacteristic
208C22×C4×D17C2311yescharacteristic
209C22×C4×D17C2311yescharacteristic
210C22×C4×D17C2311yescharacteristic
211C22×C4×D17C2311yescharacteristic
212C22×Dic34C2311yescharacteristic
213C4×D4×C17—24no—
214C17×#117—24no—
215C17×#117—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×C22⋊C4×C17C2311yescharacteristic
224C2×C22⋊C4×C17C2311yescharacteristic
225C2×C22⋊C4×C17C2311yescharacteristic
226C2×C22⋊C4×C17C2311yescharacteristic
227C2×C22⋊C4×C17C2311yescharacteristic
228C2×C22⋊C4×C17C2311yescharacteristic
229C2×C22⋊C4×C17C2311yescharacteristic
230C2×C22⋊C4×C17C2311yescharacteristic
231C2×C22⋊C4×C17C2311yescharacteristic
232C2×C22⋊C4×C17C2311yescharacteristic
233C2×C42×C17C2311yescharacteristic
234C2×C42×C17C2311yescharacteristic
235C2×C42×C17C2311yescharacteristic
236C2×C42×C17C2311yescharacteristic
237C2×C42×C17C2311yescharacteristic
238C2×C42×C17C2311yescharacteristic
239C2×C42×C17C2311yescharacteristic
240C2×C42×C17C2311yescharacteristic
241C2×C42×C17C2311yescharacteristic
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#10587623—24no—
253C4×C22⋊D17—24no—
254C4×C22⋊D17—24no—
255C4×C22⋊D17—24no—
256C4×C22⋊D17—24no—
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
283#10587612—24no—
284C2×C4⋊Dic17C2311yescharacteristic
285C2×C4⋊Dic17C2311yescharacteristic
286C2×C4⋊Dic17C2311yescharacteristic
287C2×C4⋊Dic17C2311yescharacteristic
288C2×C4⋊Dic17C2311yescharacteristic
289C2×C4⋊Dic17C2311yescharacteristic
290C2×C4⋊Dic17C2311yescharacteristic
291C2×#63225C2311yescharacteristic
292C2×#63225C2311yescharacteristic
293C2×#63225C2311yescharacteristic
294C2×#63225C2311yescharacteristic
295C2×#63225C2311yescharacteristic
296C2×#63225C2311yescharacteristic
297C2×#63225C2311yescharacteristic
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×C4×Dic17C2311yescharacteristic
312C2×C4×Dic17C2311yescharacteristic
313C2×C4×Dic17C2311yescharacteristic
314C2×C4×Dic17C2311yescharacteristic
315C2×C4×Dic17C2311yescharacteristic
316C2×C4×Dic17C2311yescharacteristic
317C2×C4×Dic17C2311yescharacteristic
318C2×C4×Dic17C2311yescharacteristic
319C2×C4×Dic17C2311yescharacteristic
320C2×C4×Dic17C2311yescharacteristic
321C2×C4×Dic17C2311yescharacteristic
322C2×C4×Dic17C2311yescharacteristic
323C2×C4×Dic17C2311yescharacteristic
324#10587584—24no—
325#10587582—24no—
326#10587580—24no—
327#10587580—24no—
328#10587578—24no—
329#10587578—24no—
330C4⋊C4×D17—24no—
331C4⋊C4×D17—24no—
332#10587575—24no—
333#10587571—24no—
334#10587570—24no—
335#10587569—24no—
336#10587569—24no—
337#10587568—24no—
338C22⋊C4×D17—24no—
339C22⋊C4×D17—24no—
340#10587565—24no—
341#10587563—24no—
342#10587563—24no—
343C4×D68—24no—
344C4×D68—24no—
345#10587558—24no—
346#10587558—24no—
347#10587558—24no—
348#10587558—24no—
349#10587558—24no—
350C42×D17—24no—
351C42×D17D418yescomplemented
352C4×Dic34—24no—
353C17×#95C2311yescharacteristic
354C17×#95C2311yescharacteristic
355C17×#95C2311yescharacteristic
356C17×#95C2311yescharacteristic
357C17×#95C2311yescharacteristic
358C17×#95C2311yescharacteristic
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
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—41no—
393C23×D17—41no—
394C23×D17C2411yescharacteristic
395C23×D17C2411yescharacteristic
396C23×D17C2411yescharacteristic
397C2×D4×C17—22no—
398C2×D4×C17—22no—
399C2×D4×C17—41no—
400C22×C4×C17—22no—
401C22×C4×C17—22no—
402C22×C4×C17—22no—
403C22×C4×C17—22no—
404C22×C4×C17—22no—
405C22×C4×C17#4114yes—
406C22×C4×C17C2411yescharacteristic
407C22×C4×C17C2411yescharacteristic
408C22×C4×C17C2411yescharacteristic
409C22×C4×C17C2411yescharacteristic
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
419C2×C22⋊D17—22no—
420C2×C22⋊D17—22no—
421C2×C22⋊D17—22no—
422C2×C22⋊D17—22no—
423C2×C22⋊D17—22no—
424C2×C22⋊D17—22no—
425C2×C22⋊D17—22no—
426C2×C22⋊D17—22no—
427C2×C22⋊D17—41no—
428C2×C22⋊D17—41no—
429C2×C22⋊D17—41no—
430C2×C22⋊D17—41no—
431C22×Dic17—22no—
432C22×Dic17—22no—
433C22×Dic17—22no—
434C22×Dic17C2411yescharacteristic
435C22×Dic17C2411yescharacteristic
436C22×Dic17C2411yescharacteristic
437C22×Dic17C2411yescharacteristic
438C22×Dic17C2411yescharacteristic
439C22×Dic17C2411yescharacteristic
440C22×Dic17C2411yescharacteristic
441C22×Dic17C2411yescharacteristic
442C22×Dic17C2411yescharacteristic
443C22×Dic17C2411yescharacteristic
444C22×Dic17C2411yescharacteristic
445C22×Dic17C2411yescharacteristic
446C22×Dic17C2411yescharacteristic
447C2×D68—22no—
448C2×D68—22no—
449C2×D68—22no—
450C2×D68—22no—
451C2×D68—22no—
452C2×D68—41no—
453C2×C4×D17—232no—
454C2×C4×D17—22no—
455C2×C4×D17—22no—
456C2×C4×D17—22no—
457C2×C4×D17—22no—
458C2×C4×D17—22no—
459C2×C4×D17—22no—
460C2×C4×D17—22no—
461C2×C4×D17—22no—
462C2×C4×D17—22no—
463C2×C4×D17—22no—
464C2×C4×D17—22no—
465C2×C4×D17—22no—
466C2×C4×D17—22no—
467C2×C4×D17—22no—
468C2×C4×D17—22no—
469C2×C4×D17—22no—
470C2×C4×D17—22no—
471C2×C4×D17—22no—
472C2×C4×D17—22no—
473C2×C4×D17—41no—
474C2×C4×D17—41no—
475C2×C4×D17—41no—
476C2×C4×D17—41no—
477C2×C4×D17C2×D414yes—
478C2×C4×D17C2×D414yes—
479C2×C4×D17C2×D414yes—
480C2×C4×D17#4114yes—
481C2×Dic34—22no—
482C2×Dic34—41no—
483C2×Dic34—41no—
484C4⋊C4×C17—22no—
485C4⋊C4×C17—22no—
486C4⋊C4×C17—22no—
487C4⋊C4×C17—22no—
488C4⋊C4×C17—22no—
489C4⋊C4×C17—22no—
490C4⋊C4×C17—41no—
491C22⋊C4×C17—22no—
492C22⋊C4×C17—22no—
493C22⋊C4×C17—22no—
494C22⋊C4×C17—22no—
495C22⋊C4×C17—22no—
496C22⋊C4×C17—22no—
497C22⋊C4×C17—22no—
498C22⋊C4×C17—22no—
499C22⋊C4×C17—41no—
500C22⋊C4×C17—41no—
501C42×C17—22no—
502C42×C17—22no—
503C42×C17—22no—
504C42×C17—22no—
505C42×C17—22no—
506C42×C17—22no—
507C42×C17—41no—
508C42×C17—41no—
509C42×C17C2×D414yes—
510C22⋊Dic17—22no—
511C22⋊Dic17—22no—
512C22⋊Dic17—22no—
513C22⋊Dic17—22no—
514C22⋊Dic17—22no—
515C22⋊Dic17—22no—
516C22⋊Dic17—22no—
517C22⋊Dic17—22no—
518C22⋊Dic17—41no—
519C22⋊Dic17—41no—
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—22no—
538#63227—22no—
539#63227—22no—
540#63227—41no—
541#63227—41no—
542#63227—41no—
543#63227—41no—
544#63227#4114yes—
545#63227#4114yes—
546C4⋊Dic17—22no—
547C4⋊Dic17—22no—
548C4⋊Dic17—22no—
549C4⋊Dic17—22no—
550C4⋊Dic17—22no—
551C4⋊Dic17—22no—
552C4⋊Dic17—41no—
553#63225—22no—
554#63225—22no—
555#63225—22no—
556#63225—22no—
557#63225—22no—
558#63225—22no—
559#63225—22no—
560#63225—22no—
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—22no—
570#63225—22no—
571#63225—41no—
572#63225—41no—
573C4×Dic17—22no—
574C4×Dic17—22no—
575C4×Dic17—22no—
576C4×Dic17—22no—
577C4×Dic17—22no—
578C4×Dic17—22no—
579C4×Dic17—22no—
580C4×Dic17—22no—
581C4×Dic17—41no—
582C4×Dic17—41no—
583C4×Dic17C2×D414yes—
584C4×Dic17C2×D414yes—
585C4×Dic17C2×D414yes—
586#34877—171nomaximal, Sylow
587C23×C17—21no—
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×C17C2×#4112yes—
601C23×C17C2511yescharacteristic
602C22×D17—21no—
603C22×D17—21no—
604C22×D17—21no—
605C22×D17—21no—
606C22×D17—28no—
607C22×D17—21no—
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—44no—
621C22×D17—44no—
622C22×D17—44no—
623C22×D17—44no—
624C22×D17—44no—
625C22×D17—44no—
626C22×D17C22×D412yes—
627C22×D17C2×#4112yes—
628C22×D17C2×#4112yes—
629C22×D17C2×#4112yes—
630D4×C17—44no—
631C2×C4×C17—21no—
632C2×C4×C17—21no—
633C2×C4×C17—21no—
634C2×C4×C17—21no—
635C2×C4×C17—21no—
636C2×C4×C17—21no—
637C2×C4×C17—21no—
638C2×C4×C17—21no—
639C2×C4×C17—21no—
640C2×C4×C17—21no—
641C2×C4×C17—28no—
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—44no—
664C2×C4×C17C22×D412yes—
665C2×C4×C17C22×D412yes—
666C2×C4×C17C22×D412yes—
667C2×C4×C17C2×#4112yes—
668C2×C4×C17C2×#4112yes—
669C2×C4×C17C2×#4112yes—
670C2×C4×C17C2×#4112yes—
671C2×C4×C17C2×#4112yes—
672C22⋊D17—44no—
673C22⋊D17—44no—
674C22⋊D17—44no—
675C22⋊D17—44no—
676C2×Dic17—28no—
677C2×Dic17—21no—
678C2×Dic17—21no—
679C2×Dic17—21no—
680C2×Dic17—21no—
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×Dic17C22×D412yes—
711C2×Dic17C22×D412yes—
712C2×Dic17C22×D412yes—
713C2×Dic17C2×#4112yes—
714C2×Dic17C2×#4112yes—
715C2×Dic17C2×#4112yes—
716D68—44no—
717D68—44no—
718C4×D17—28no—
719C4×D17—28no—
720C4×D17—28no—
721C4×D17—28no—
722C4×D17—28no—
723C4×D17—44no—
724C4×D17—44no—
725C4×D17—44no—
726C4×D17—44no—
727Dic34—44no—
728C2×#529—171no—
729C22×#117—171no—
730#2611—171no—
731#2611—171no—
732#2610—171no—
733#2610—171no—
734#2601—171no—
735#2601—171no—
736#2601—171no—
737#2601—171no—
738#2591—171no—
739#2583—171no—
740#2561—171no—
741#2539—171no—
742#2413—171no—
743#2413—171no—
744#2411—171no—
745#2411—171no—
746#2396—171no—
747#2396—171no—
748#2392—171no—
749#2392—171no—
750C4×#123—171no—
751C4×#123—171no—
752C4×#120—171no—
753C4×#120—171no—
754#2293—171no—
755#2293—171no—
756#2293—171no—
757#2293D1711yescharacteristic, complemented
758C4×#117—171no—
759C22×C17—22no—
760C22×C17—22no—
761C22×C17—22no—
762C22×C17—41no—
763C22×C17—41no—
764C22×C17—41no—
765C22×C17—41no—
766C22×C17—41no—
767C22×C17—41no—
768C22×C17—41no—
769C22×C17—41no—
770C22×C17—41no—
771C22×C17—41no—
772C22×C17—41no—
773C22×C17C23×D411yescharacteristic
774C22×C17C22×#4111yescharacteristic
775C22×C17C22×#4111yescharacteristic
776C22×C17C22×#4111yescharacteristic
777C22×C17C22×#4111yescharacteristic
778C22×C17#58511yescharacteristic
779C22×C17#58511yescharacteristic
780C2×D17—22no—
781C2×D17—22no—
782C2×D17—22no—
783C2×D17—22no—
784C2×D17—22no—
785C2×D17—22no—
786C2×D17—22no—
787C2×D17—22no—
788C2×D17—22no—
789C2×D17—416no—
790C2×D17—41no—
791C2×D17—41no—
792C2×D17—41no—
793C2×D17—41no—
794C2×D17—41no—
795C2×D17—41no—
796C2×D17—41no—
797C2×D17—41no—
798C2×D17—41no—
799C2×D17—41no—
800C2×D17—41no—
801C2×D17#53214yes—
802C4×C17—22no—
803C4×C17—22no—
804C4×C17—22no—
805C4×C17—22no—
806C4×C17—22no—
807C4×C17—41no—
808C4×C17—41no—
809C4×C17—41no—
810C4×C17—41no—
811C4×C17—41no—
812C4×C17—41no—
813C4×C17—41no—
814C4×C17#52514yes—
815Dic17—22no—
816Dic17—22no—
817Dic17—22no—
818Dic17—22no—
819Dic17—22no—
820Dic17—22no—
821Dic17—41no—
822Dic17—41no—
823Dic17—41no—
824Dic17—41no—
825Dic17—41no—
826Dic17—41no—
827Dic17—41no—
828C24×C4—171no—
829#529—348no—
830C2×#126—171no—
831C2×#126—171no—
832C2×#125—171no—
833C2×#124—171no—
834C2×#123—171no—
835C2×#123—171no—
836C2×#123—171no—
837C2×#123—171no—
838C2×C22⋊Q8—171no—
839C2×#121—171no—
840C2×#120—171no—
841C2×#120—171no—
842C2×C4×Q8—171no—
843C2×C4×D4—171no—
844C2×C4×D4—171no—
845C2×C4×D4—171no—
846C2×C4×D4—171no—
847C2×C4×D4—171no—
848C2×C4×D4—171no—
849C2×C4×D4C2×D1711yescharacteristic
850C2×#117—171no—
851C2×#117—171no—
852C2×#117—171no—
853C2×#117—171no—
854C2×#117—171no—
855C2×#117—171no—
856C2×#117—171no—
857C2×#117—171no—
858C2×#117—171no—
859C2×#117—171no—
860C2×#117—348no—
861C2×#117C2×D1711yescharacteristic
862C2×#117C2×D1711yescharacteristic, complemented
863C22×C4⋊C4—171no—
864C22×C4⋊C4—171no—
865C22×C22⋊C4—171no—
866C22×C22⋊C4—171no—
867C22×C42—171no—
868C22×C42—171no—
869#400—171no—
870#400—171no—
871#399—171no—
872#399—171no—
873#398—171no—
874#398—171no—
875#398—171no—
876#398—171no—
877#398—171no—
878#398—171no—
879#397—171no—
880#397—171no—
881#396—171no—
882#396—171no—
883#396—171no—
884#396—171no—
885#396—171no—
886#396—171no—
887#396—171no—
888#396—171no—
889#395—171no—
890#395—171no—
891#394—171no—
892#394—171no—
893#394—171no—
894#394—171no—
895#394—171no—
896#394—171no—
897#393—171no—
898#393—171no—
899#392—171no—
900#392—171no—
901#390—171no—
902#390—171no—
903#390—171no—
904#390—171no—
905#390—171no—
906#390—171no—
907#390C2×D1711yescharacteristic
908#390C2×D1711yescharacteristic
909#389—171no—
910#389—171no—
911#389—171no—
912#389—171no—
913#389—171no—
914#389—171no—
915#389C2×D1711yescharacteristic, complemented
916#389C2×D1711yescharacteristic, complemented
917#388—171no—
918#388—171no—
919#388—171no—
920#388—171no—
921#388—171no—
922#388—171no—
923#388—171no—
924#388—171no—
925#388—171no—
926#388—171no—
927#388—171no—
928#388—171no—
929#388—171no—
930#388—171no—
931#388—171no—
932#388—171no—
933#388C2×D1711yescharacteristic
934#388C2×D1711yescharacteristic
935#388C2×D1711yescharacteristic, complemented
936#388C2×D1711yescharacteristic, complemented
937#387—171no—
938#387—171no—
939#387—171no—
940#387—171no—
941#386—171no—
942#386—171no—
943#386—171no—
944#386—171no—
945#386—171no—
946#386—171no—
947#386—171no—
948#386—171no—
949#385—171no—
950#385—171no—
951#385—171no—
952#385—171no—
953#385—171no—
954#385—171no—
955#385—171no—
956#385—171no—
957#381—171no—
958#381—171no—
959#379—171no—
960#379—171no—
961C4×C4⋊C4—171no—
962C4×C4⋊C4—171no—
963C4×C4⋊C4—171no—
964C4×C4⋊C4—171no—
965C4×C4⋊C4—171no—
966C4×C4⋊C4—171no—
967C4×C4⋊C4—171no—
968C4×C4⋊C4C2×D1711yescharacteristic, complemented
969C4×C22⋊C4—171no—
970C4×C22⋊C4—171no—
971C4×C22⋊C4—171no—
972C4×C22⋊C4—171no—
973C4×C22⋊C4—171no—
974C4×C22⋊C4—171no—
975C4×C22⋊C4—171no—
976C4×C22⋊C4—171no—
977C4×C22⋊C4—171no—
978C4×C22⋊C4—171no—
979C4×C22⋊C4C2×D1711yescharacteristic
980C4×C22⋊C4C2×D1711yescharacteristic, complemented
981#376—171no—
982#376—171no—
983C43—171no—
984C43C2×D1711yescharacteristic, complemented
985C2×C17—42no—
986C2×C17—81no—
987C2×C17C2×#52511yescharacteristic
988C2×C17C2×#53211yescharacteristic
989C2×C17#344911yescharacteristic
990C2×C17#347511yescharacteristic
991C2×C17#347511yescharacteristic
992C2×C17#347511yescharacteristic
993C2×C17#347511yescharacteristic
994D17—24no—
995D17—42no—
996D17—81no—
997C25—171no—
998C22×Q8—171no—
999C22×D4—171no—
1000C22×D4—171no—
1001C22×D4—171no—
1002C22×D4—171no—
1003C22×D4—171no—
1004C22×D4—171no—
1005C22×D4C22×D1711yescharacteristic
1006C23×C4—171no—
1007C23×C4—171no—
1008C23×C4—171no—
1009C23×C4—171no—
1010C23×C4—171no—
1011C23×C4—171no—
1012C23×C4—171no—
1013C23×C4—171no—
1014C23×C4—171no—
1015C23×C4—171no—
1016C23×C4—344no—
1017C23×C4—344no—
1018C23×C4—344no—
1019C23×C4C22×D1711yescharacteristic
1020C23×C4C22×D1711yescharacteristic
1021#126—344no—
1022#126—344no—
1023#125—344no—
1024#124—344no—
1025#123—344no—
1026#123—344no—
1027#123—344no—
1028#123—344no—
1029C22⋊Q8—344no—
1030#121—344no—
1031#120—344no—
1032#120—344no—
1033C4×Q8—344no—
1034C4×D4—24no—
1035C4×D4—344no—
1036C4×D4—344no—
1037C4×D4—344no—
1038C4×D4—344no—
1039C4×D4—344no—
1040C4×D4—344no—
1041#117—24no—
1042#117—24no—
1043#117—344no—
1044#117—344no—
1045#117—344no—
1046#117—344no—
1047#117—344no—
1048#117—344no—
1049#117—344no—
1050#117—344no—
1051#117—344no—
1052#117—344no—
1053C2×C4⋊C4—171no—
1054C2×C4⋊C4—171no—
1055C2×C4⋊C4—171no—
1056C2×C4⋊C4—171no—
1057C2×C4⋊C4—171no—
1058C2×C4⋊C4—171no—
1059C2×C4⋊C4—171no—
1060C2×C4⋊C4—171no—
1061C2×C4⋊C4—171no—
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—344no—
1081C2×C4⋊C4—344no—
1082C2×C4⋊C4C22×D1711yescharacteristic
1083C2×C4⋊C4C22×D1711yescharacteristic
1084C2×C4⋊C4C22×D1711yescharacteristic
1085C2×C4⋊C4C22×D1711yescharacteristic
1086C2×C4⋊C4C22×D1711yescharacteristic
1087C2×C4⋊C4C22×D1711yescharacteristic
1088C2×C4⋊C4C22×D1711yescharacteristic
1089C2×C22⋊C4—171no—
1090C2×C22⋊C4—171no—
1091C2×C22⋊C4—171no—
1092C2×C22⋊C4—171no—
1093C2×C22⋊C4—171no—
1094C2×C22⋊C4—171no—
1095C2×C22⋊C4—171no—
1096C2×C22⋊C4—171no—
1097C2×C22⋊C4—171no—
1098C2×C22⋊C4—171no—
1099C2×C22⋊C4—171no—
1100C2×C22⋊C4—171no—
1101C2×C22⋊C4—171no—
1102C2×C22⋊C4—171no—
1103C2×C22⋊C4—171no—
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—344no—
1126C2×C22⋊C4—344no—
1127C2×C22⋊C4C22×D1711yescharacteristic
1128C2×C22⋊C4C22×D1711yescharacteristic
1129C2×C22⋊C4C22×D1711yescharacteristic
1130C2×C22⋊C4C22×D1711yescharacteristic
1131C2×C22⋊C4C22×D1711yescharacteristic
1132C2×C22⋊C4C22×D1711yescharacteristic
1133C2×C22⋊C4C22×D1711yescharacteristic
1134C2×C22⋊C4C22×D1711yescharacteristic
1135C2×C22⋊C4C22×D1711yescharacteristic
1136C2×C22⋊C4C22×D1711yescharacteristic
1137C2×C42—171no—
1138C2×C42—171no—
1139C2×C42—171no—
1140C2×C42—178no—
1141C2×C42—171no—
1142C2×C42—171no—
1143C2×C42—171no—
1144C2×C42—171no—
1145C2×C42—171no—
1146C2×C42—171no—
1147C2×C42—171no—
1148C2×C42—171no—
1149C2×C42—171no—
1150C2×C42—171no—
1151C2×C42—344no—
1152C2×C42C22×D1711yescharacteristic
1153C2×C42C22×D1711yescharacteristic
1154C2×C42C22×D1711yescharacteristic
1155C2×C42C22×D1711yescharacteristic
1156C2×C42C22×D1711yescharacteristic
1157C2×C42C22×D1711yescharacteristic
1158C2×C42C22×D1711yescharacteristic
1159C2×C42C22×D1711yescharacteristic
1160C2×C42C22×D1711yescharacteristic
1161#95—171no—
1162#95—171no—
1163#95—171no—
1164#95—171no—
1165#95—171no—
1166#95—171no—
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#95C22×D1711yescharacteristic
1188#95C22×D1711yescharacteristic
1189#95C22×D1711yescharacteristic
1190#95C22×D1711yescharacteristic
1191#95C22×D1711yescharacteristic
1192#95C22×D1711yescharacteristic
1193C17#3487711yescharacteristic, complemented, Sylow
1194C24—171no—
1195C24—171no—
1196C24—171no—
1197C24—342no—
1198C24—342no—
1199C24—342no—
1200C24—342no—
1201C24—342no—
1202C24—681no—
1203C24—681no—
1204C24C23×D1711yescharacteristic
1205C24C23×D1711yescharacteristic
1206C2×Q8—342no—
1207C2×Q8—681no—
1208C2×Q8—681no—
1209C2×D4—22no—
1210C2×D4—22no—
1211C2×D4—41no—
1212C2×D4—342no—
1213C2×D4—342no—
1214C2×D4—342no—
1215C2×D4—342no—
1216C2×D4—342no—
1217C2×D4—342no—
1218C2×D4—342no—
1219C2×D4—342no—
1220C2×D4—342no—
1221C2×D4—342no—
1222C2×D4—342no—
1223C2×D4—342no—
1224C2×D4—342no—
1225C2×D4—681no—
1226C2×D4—681no—
1227C2×D4—681no—
1228C2×D4—681no—
1229C2×D4—681no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—171no—
1236C22×C4—171no—
1237C22×C4—171no—
1238C22×C4—171no—
1239C22×C4—171no—
1240C22×C4—171no—
1241C22×C4—174no—
1242C22×C4—174no—
1243C22×C4—174no—
1244C22×C4—174no—
1245C22×C4—171no—
1246C22×C4—171no—
1247C22×C4—171no—
1248C22×C4—171no—
1249C22×C4—171no—
1250C22×C4—171no—
1251C22×C4—171no—
1252C22×C4—342no—
1253C22×C4—342no—
1254C22×C4—342no—
1255C22×C4—342no—
1256C22×C4—342no—
1257C22×C4—342no—
1258C22×C4—3432no—
1259C22×C4—342no—
1260C22×C4—342no—
1261C22×C4—342no—
1262C22×C4—342no—
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—342no—
1274C22×C4—342no—
1275C22×C4—681no—
1276C22×C4—681no—
1277C22×C4—681no—
1278C22×C4—681no—
1279C22×C4#6325214yes—
1280C22×C4C23×D1711yescharacteristic
1281C22×C4C23×D1711yescharacteristic
1282C22×C4C23×D1711yescharacteristic
1283C22×C4C23×D1711yescharacteristic
1284C22×C4C23×D1711yescharacteristic
1285C22×C4C23×D1711yescharacteristic
1286C22×C4C23×D1711yescharacteristic
1287C22×C4C23×D1711yescharacteristic
1288C22×C4C23×D1711yescharacteristic
1289C22×C4C23×D1711yescharacteristic
1290C22×C4C23×D1711yescharacteristic
1291C22×C4C23×D1711yescharacteristic
1292C22×C4C23×D1711yescharacteristic
1293C4⋊C4—22no—
1294C4⋊C4—22no—
1295C4⋊C4—22no—
1296C4⋊C4—22no—
1297C4⋊C4—22no—
1298C4⋊C4—22no—
1299C4⋊C4—41no—
1300C4⋊C4—342no—
1301C4⋊C4—342no—
1302C4⋊C4—342no—
1303C4⋊C4—342no—
1304C4⋊C4—342no—
1305C4⋊C4—342no—
1306C4⋊C4—342no—
1307C4⋊C4—342no—
1308C4⋊C4—342no—
1309C4⋊C4—342no—
1310C4⋊C4—342no—
1311C4⋊C4—342no—
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—681no—
1325C4⋊C4—681no—
1326C4⋊C4—681no—
1327C22⋊C4—22no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—22no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—174no—
1338C22⋊C4—174no—
1339C22⋊C4—342no—
1340C22⋊C4—342no—
1341C22⋊C4—342no—
1342C22⋊C4—342no—
1343C22⋊C4—342no—
1344C22⋊C4—342no—
1345C22⋊C4—342no—
1346C22⋊C4—342no—
1347C22⋊C4—342no—
1348C22⋊C4—342no—
1349C22⋊C4—342no—
1350C22⋊C4—342no—
1351C22⋊C4—342no—
1352C22⋊C4—342no—
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—681no—
1368C22⋊C4—681no—
1369C22⋊C4—681no—
1370C22⋊C4—681no—
1371C22⋊C4—681no—
1372C22⋊C4—681no—
1373C42—22no—
1374C42—22no—
1375C42—22no—
1376C42—22no—
1377C42—22no—
1378C42—22no—
1379C42—41no—
1380C42—41no—
1381C42—174no—
1382C42—174no—
1383C42—174no—
1384C42—342no—
1385C42—342no—
1386C42—342no—
1387C42—342no—
1388C42—342no—
1389C42—342no—
1390C42—342no—
1391C42—342no—
1392C42—681no—
1393C42—681no—
1394C42D4×D1714yes—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—172no—
1409C23—172no—
1410C23—172no—
1411C23—172no—
1412C23—348no—
1413C23—341no—
1414C23—341no—
1415C23—341no—
1416C23—341no—
1417C23—341no—
1418C23—341no—
1419C23—341no—
1420C23—341no—
1421C23—341no—
1422C23—341no—
1423C23—341no—
1424C23—341no—
1425C23—341no—
1426C23—341no—
1427C23—341no—
1428C23—341no—
1429C23—341no—
1430C23—684no—
1431C23—684no—
1432C23—684no—
1433C23—684no—
1434C23—684no—
1435C23—684no—
1436C23C2×#6325212yes—
1437C23C24×D1711yescharacteristic
1438Q8—684no—
1439D4—44no—
1440D4—684no—
1441D4—684no—
1442D4—684no—
1443D4—684no—
1444D4—684no—
1445D4—684no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—28no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
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—44no—
1479C2×C4—172no—
1480C2×C4—172no—
1481C2×C4—172no—
1482C2×C4—172no—
1483C2×C4—172no—
1484C2×C4—172no—
1485C2×C4—348no—
1486C2×C4—348no—
1487C2×C4—348no—
1488C2×C4—348no—
1489C2×C4—341no—
1490C2×C4—341no—
1491C2×C4—341no—
1492C2×C4—341no—
1493C2×C4—341no—
1494C2×C4—341no—
1495C2×C4—341no—
1496C2×C4—341no—
1497C2×C4—341no—
1498C2×C4—341no—
1499C2×C4—341no—
1500C2×C4—341no—
1501C2×C4—348no—
1502C2×C4—348no—
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—684no—
1525C2×C4—684no—
1526C2×C4—684no—
1527C2×C4—684no—
1528C2×C4C2×#6325212yes—
1529C2×C4C2×#6325212yes—
1530C2×C4C2×D4×D1712yes—
1531C2×C4C2×D4×D1712yes—
1532C2×C4C2×D4×D1712yes—
1533C2×C4#41×D1712yes—
1534C2×C4#41×D1712yes—
1535C2×C4#41×D1712yes—
1536C22—22no—
1537C22—22no—
1538C22—22no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—174no—
1551C22—342no—
1552C22—342no—
1553C22—342no—
1554C22—342no—
1555C22—342no—
1556C22—342no—
1557C22—342no—
1558C22—342no—
1559C22—342no—
1560C22—6816no—
1561C22—681no—
1562C22—681no—
1563C22—681no—
1564C22—681no—
1565C22—681no—
1566C22—681no—
1567C22—681no—
1568C22—681no—
1569C22—681no—
1570C22—681no—
1571C22—681no—
1572C22C22×D4×D1711yescharacteristic
1573C22C2×#41×D1711yescharacteristic
1574C22C2×#41×D1711yescharacteristic
1575C22C2×#41×D1711yescharacteristic
1576C22C22×#6325211yescharacteristic
1577C22#1176364511yescharacteristic
1578C22#1176364511yescharacteristic
1579C4—22no—
1580C4—22no—
1581C4—22no—
1582C4—22no—
1583C4—22no—
1584C4—41no—
1585C4—41no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—342no—
1592C4—342no—
1593C4—342no—
1594C4—342no—
1595C4—342no—
1596C4—342no—
1597C4—681no—
1598C4—681no—
1599C4—681no—
1600C4—681no—
1601C4—681no—
1602C4—681no—
1603C4—681no—
1604C4#1176331814yes—
1605C2—42no—
1606C2—81no—
1607C2—344no—
1608C2—682no—
1609C2—1361no—
1610C2C2×#1176331811yescharacteristic
1611C2D17×#53211yescharacteristic
1612C2#1454211111yescharacteristic
1613C2#1454233611yescharacteristic
1614C2#1454233811yescharacteristic
1615C2#1454234011yescharacteristic
1616C2#1454234811yescharacteristic
subgroupG/H
centerC22×C4C23×D17
commutator, socle, cosocleC23×C17C25
FrattiniC23C24×D17
FittingC17×#2293C2
prime radical#14533713C2
hypercenter#2293D17
hypocenterC17#34877
LCSG ▷ C23×C17 ▷ C17
UCSC1 ◁ C22×C4 ◁ #2293

Complements

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

NH ≅ G/Ntype
1. C2×#11763337C2semidirect
2. C2×#117×D17C2semidirect
3. #14534481C2semidirect
4. #14534479C2semidirect
5. #14534470C2semidirect
6. #14534468C2semidirect
7. #14534388C2semidirect
8. #14534386C2semidirect
9. #14534380C2semidirect
10. #14534378C2semidirect
11. #14534262C2semidirect
12. #14534162C2semidirect
13. #14533940C2semidirect
15. #14532190C2semidirect
16. #14532188C2semidirect
17. #14532168C2semidirect
18. #14532166C2semidirect
19. #14532060C2semidirect
20. #14532058C2semidirect
21. #14532028C2semidirect
22. #14532026C2semidirect
23. C4×#10587580C2semidirect
24. C4×#10587569C2semidirect
25. C4×#10587568C2semidirect
26. C4×#10587623C2semidirect
27. #14531248C2semidirect
28. #14531243C2semidirect
29. #14531243C2semidirect
30. C4×#10587558C2semidirect
31. C17×#2293C2semidirect
34. C2×#10587584C22semidirect
35. C2×#10587565C22semidirect
36. C2×#10587575C22semidirect
37. C2×#10587571C22semidirect
46. C2×C4×Dic34C22semidirect
52. C2×C4×C22⋊D17C22semidirect
60. C2×#10587558C22semidirect
70. #11762751C22semidirect
71. #11762750C22semidirect
74. #11762743C22semidirect
75. #11762743C22semidirect
76. #11762743C22semidirect
77. #11762742C22semidirect
78. #11762741C22semidirect
79. #11762740C22semidirect
83. #11762733C22semidirect
86. #11762732C22semidirect
87. #11762732C22semidirect
89. #11762731C22semidirect
90. #11762730C22semidirect
91. #11762729C22semidirect
93. #11762725C22semidirect
96. #11762724C22semidirect
108. #11762707C22semidirect
109. #11762707C22semidirect
110. #11762704C22semidirect
111. #11762704C22semidirect
112. #11762704C22semidirect
113. #11762704C22semidirect
116. #11762703C22semidirect
117. #11762703C22semidirect
118. #11762703C22semidirect
119. #11762702C22semidirect
122. #11762700C22semidirect
123. #11762700C22semidirect
126. #11762699C22semidirect
127. #11762699C22semidirect
128. #11762699C22semidirect
129. #11762698C22semidirect
130. #11762696C22semidirect
131. #11762695C22semidirect
132. #11762692C22semidirect
133. #11762691C22semidirect
154. C4×#63225C22semidirect
155. C4×#63225C22semidirect
156. C4×#63225C22semidirect
157. C4×#63225C22semidirect
158. C4×#63225C22semidirect
159. C4×#63225C22semidirect
160. C4×C4⋊Dic17C22semidirect
167. C4×#63227C22semidirect
168. C4×#63227C22semidirect
170. C4×C22⋊Dic17C22semidirect
171. #11762655C22semidirect
172. #11762655C22semidirect
173. C42×Dic17C22semidirect
176. C2×C17×#117C22semidirect
179. C17×#389C22semidirect
180. C17×#389C22semidirect
183. C17×#388C22semidirect
184. C17×#388C22semidirect
185. C4×C4⋊C4×C17C22semidirect
187. C4×C22⋊C4×C17C22semidirect
188. C43×C17C22semidirect
351. C42×D17D4semidirect
757. #2293D17semidirect
862. C2×#117C2×D17semidirect
915. #389C2×D17semidirect
916. #389C2×D17semidirect
935. #388C2×D17semidirect
936. #388C2×D17semidirect
968. C4×C4⋊C4C2×D17semidirect
980. C4×C22⋊C4C2×D17semidirect
984. C43C2×D17semidirect
1193. C17#34877semidirect

Maximal subgroups

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

subgroupindex
C2×#117633372
C2×#117×D172
#145344812
#145344792
#145344702
#145344682
#145343882
#145343862
#145343802
#145343782
#145342622
#145341622
#145339402
#145337132
#145321902
#145321882
#145321682
#145321662
#145320602
#145320582
#145320282
#145320262
C4×#105875802
C4×#105875692
C4×#105875682
C4×#105876232
#145312482
#145312432
C4×#105875582
C17×#22932
#3487717