Finite Group Databasebeta

← #17205274

Subgroups — #17205274

Order 4352.

2802 conjugacy classes of subgroups.

The subgroup lattice has 1628 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C4×#63252C211yesmaximal, characteristic, complemented
2C2×#117×D17C211yesmaximal, characteristic, complemented
3#14534463C211yesmaximal, characteristic, complemented
4#14534460C211yesmaximal, characteristic, complemented
5#14534459C211yesmaximal, characteristic, complemented
6#14534458C211yesmaximal, characteristic, complemented
7#14534360C211yesmaximal, characteristic, complemented
8#14534358C211yesmaximal, characteristic, complemented
9#14534349C211yesmaximal, characteristic, complemented
10#14534347C211yesmaximal, characteristic, complemented
11#14534135C211yesmaximal, characteristic, complemented
12#14534129C211yesmaximal, characteristic, complemented
13#14533678C211yesmaximal, characteristic, complemented
14#14533672C211yesmaximal, characteristic, complemented
15#14533069C211yesmaximal, characteristic, complemented
16#14533056C211yesmaximal, characteristic, complemented
17#14532117C211yesmaximal, characteristic, complemented
18#14532101C211yesmaximal, characteristic
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#14531228C211yesmaximal, characteristic, complemented
28#14531227C211yesmaximal, characteristic, complemented
29#14531221C211yesmaximal, characteristic, complemented
30#14531176C211yesmaximal, characteristic, complemented
31C17×#2290C211yesmaximal, characteristic, complemented
32C22×#63252C2211yescharacteristic
33C23×C4×D17C2211yescharacteristic
34C2×#10587580C2211yescharacteristic
35C2×#10587569C2211yescharacteristic
36C2×#10587568C2211yescharacteristic
37C2×#10587623C2211yescharacteristic
38C4×#63252—28no—
39C2×C4×Dic34C2211yescharacteristic, complemented
40C2×C4×Dic34C2211yescharacteristic, complemented
41C2×C4×D68C2211yescharacteristic
42C2×C4×D68C2211yescharacteristic
43C2×C4×D68C2211yescharacteristic
44C2×C4×C22⋊D17C2211yescharacteristic
45C2×C4×C22⋊D17C2211yescharacteristic
46C2×C4×C22⋊D17C2211yescharacteristic
47C2×C4×C22⋊D17C2211yescharacteristic
48C2×C4×C22⋊D17C2211yescharacteristic, complemented
49C2×C4×C22⋊D17C2211yescharacteristic, complemented
50C2×#10587612C2211yescharacteristic
51C2×#10587612C2211yescharacteristic, complemented
52C2×#10587578C2211yescharacteristic
53C2×#10587578C2211yescharacteristic
54C2×#10587558C2211yescharacteristic
55C2×#10587558C2211yescharacteristic
56C2×#10587558C2211yescharacteristic
57C2×#10587558C2211yescharacteristic, complemented
58C2×#10587563C2211yescharacteristic
59C2×#10587563C2211yescharacteristic
60#117×D17—28no—
61C2×C4⋊C4×D17C2211yescharacteristic
62C2×C4⋊C4×D17C2211yescharacteristic
63C2×C22⋊C4×D17C2211yescharacteristic
64C2×C22⋊C4×D17C2211yescharacteristic
65C2×C42×D17C2211yescharacteristic
66C2×C42×D17C2211yescharacteristic
67C2×C42×D17C2211yescharacteristic, complemented
68#11762751C2211yescharacteristic, complemented
69#11762750C2211yescharacteristic, complemented
70#11762745C2211yescharacteristic
71#11762744C2211yescharacteristic
72#11762743C2211yescharacteristic, complemented
73#11762743C2211yescharacteristic, complemented
74#11762743C2211yescharacteristic, complemented
75#11762742C2211yescharacteristic, complemented
76#11762741C2211yescharacteristic, complemented
77#11762740C2211yescharacteristic, complemented
78#11762738C2211yescharacteristic
79#11762737C2211yescharacteristic
80#11762733C2211yescharacteristic
81#11762733C2211yescharacteristic, complemented
82#11762732C2211yescharacteristic
83#11762732C2211yescharacteristic
84#11762732C2211yescharacteristic, complemented
85#11762732C2211yescharacteristic, complemented
86#11762731C2211yescharacteristic
87#11762731C2211yescharacteristic, complemented
88#11762730C2211yescharacteristic, complemented
89#11762729C2211yescharacteristic, complemented
90#11762727C2211yescharacteristic
91#11762725C2211yescharacteristic, complemented
92#11762724C2211yescharacteristic
93#11762724C2211yescharacteristic
94#11762724C2211yescharacteristic, complemented
95#11762723C2211yescharacteristic
96#11762722C2211yescharacteristic
97#11762721C2211yescharacteristic
98#11762718C2211yescharacteristic
99#11762717C2211yescharacteristic
100#11762703C2211yescharacteristic, complemented
101#11762702C2211yescharacteristic, complemented
102#11762701C2211yescharacteristic
103#11762701C2211yescharacteristic
104#11762700C2211yescharacteristic
105#11762700C2211yescharacteristic
106#11762699C2211yescharacteristic, complemented
107#11762698C2211yescharacteristic, complemented
108#11762697C2211yescharacteristic
109#11762697C2211yescharacteristic
110#11762696C2211yescharacteristic, complemented
111#11762695C2211yescharacteristic, complemented
112#11762694C2211yescharacteristic, complemented
113#11762694C2211yescharacteristic, complemented
114#11762693C2211yescharacteristic, complemented
115#11762693C2211yescharacteristic, complemented
116#11762692C2211yescharacteristic, complemented
117#11762691C2211yescharacteristic, complemented
118#11762690C2211yescharacteristic, complemented
119#11762690C2211yescharacteristic, complemented
120#11762689C2211yescharacteristic
121#11762688C2211yescharacteristic
122#11762688C2211yescharacteristic
123#11762687C2211yescharacteristic
124#11762687C2211yescharacteristic
125#11762687C2211yescharacteristic
126#11762687C2211yescharacteristic
127#11762687C2211yescharacteristic
128#11762686C2211yescharacteristic
129#11762685C2211yescharacteristic
130#11762685C2211yescharacteristic
131#11762685C2211yescharacteristic
132#11762685C2211yescharacteristic
133#11762685C2211yescharacteristic
134#11762684C2211yescharacteristic
135#11762683C2211yescharacteristic
136#11762683C2211yescharacteristic
137#11762683C2211yescharacteristic
138#11762683C2211yescharacteristic, complemented
139#11762683C2211yescharacteristic, complemented
140#11762682C2211yescharacteristic, complemented
141#11762682C2211yescharacteristic, complemented
142#11762681C2211yescharacteristic
143#11762680C2211yescharacteristic
144#11762680C2211yescharacteristic
145#11762680C2211yescharacteristic
146#11762680C2211yescharacteristic, complemented
147#11762680C2211yescharacteristic, complemented
148#11762676C2211yescharacteristic, complemented
149#11762676C2211yescharacteristic, complemented
150#11762673C2211yescharacteristic, complemented
151#11762673C2211yescharacteristic, complemented
152#11762671C2211yescharacteristic
153#11762671C2211yescharacteristic
154#11762671C2211yescharacteristic
155#11762671C2211yescharacteristic
156#11762668C2211yescharacteristic
157#11762668C2211yescharacteristic
158#11762664C2211yescharacteristic
159#11762664C2211yescharacteristic
160C4×#63225C2211yescharacteristic, complemented
161C4×#63225C2211yescharacteristic, complemented
162C4×#63225C2211yescharacteristic, complemented
163C4×#63225C2211yescharacteristic, complemented
164C4×C4⋊Dic17C2211yescharacteristic, complemented
165C4×#63227C2211yescharacteristic
166C4×#63227C2211yescharacteristic
167C4×#63227C2211yescharacteristic
168C4×#63227C2211yescharacteristic
169C4×#63227C2211yescharacteristic, complemented
170C4×#63227C2211yescharacteristic, complemented
171C4×C22⋊Dic17C2211yescharacteristic
172C4×C22⋊Dic17C2211yescharacteristic, complemented
173#11762655C2211yescharacteristic, complemented
174C2×C4×D4×C17C2211yescharacteristic
175C2×C17×#117C2211yescharacteristic
176C22×C42×C17C2211yescharacteristic, complemented
177C17×#388C2211yescharacteristic
178C17×#388C2211yescharacteristic
179C17×#387C2211yescharacteristic, complemented
180C17×#387C2211yescharacteristic, complemented
181C17×#386C2211yescharacteristic
182C17×#386C2211yescharacteristic
183C17×#385C2211yescharacteristic, complemented
184C17×#385C2211yescharacteristic, complemented
185C4×C4⋊C4×C17C2211yescharacteristic, complemented
186C4×C22⋊C4×C17C2211yescharacteristic
187C4×C22⋊C4×C17C2211yescharacteristic, complemented
188C17×#376C2211yescharacteristic, complemented
189C24×D17C2311yescharacteristic
190C22×D4×C17C2311yescharacteristic
191C23×C4×C17C2311yescharacteristic
192C23×C4×C17C2311yescharacteristic
193C23×C4×C17C2311yescharacteristic
194C23×C4×C17C2311yescharacteristic
195C22×C22⋊D17C2311yescharacteristic
196C22×C22⋊D17C2311yescharacteristic
197C22×C22⋊D17C2311yescharacteristic
198C22×C22⋊D17C2311yescharacteristic
199C23×Dic17C2311yescharacteristic
200C2×#63252—24no—
201C2×#63252—24no—
202C2×#63252—24no—
203C22×D68C2311yescharacteristic
204C22×D68C2311yescharacteristic
205C22×C4×D17—24no—
206C22×C4×D17—24no—
207C22×C4×D17—24no—
208C22×C4×D17C2311yescharacteristic
209C22×C4×D17C2311yescharacteristic
210C22×C4×D17C2311yescharacteristic
211C22×C4×D17C2311yescharacteristic
212C22×C4×D17C2311yescharacteristic
213C22×C4×D17C2311yescharacteristic
214C22×C4×D17C2311yescharacteristic
215C22×C4×D17C2311yescharacteristic
216C22×C4×D17C2311yescharacteristic
217C22×C4×D17C2311yescharacteristic
218C22×C4×D17C2311yescharacteristic
219C22×Dic34C2311yescharacteristic
220C4×D4×C17—24no—
221C17×#117—24no—
222C2×C4⋊C4×C17C2311yescharacteristic
223C2×C4⋊C4×C17C2311yescharacteristic
224C2×C4⋊C4×C17C2311yescharacteristic
225C2×C4⋊C4×C17C2311yescharacteristic
226C2×C4⋊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×C22⋊C4×C17C2311yescharacteristic
234C2×C22⋊C4×C17C2311yescharacteristic
235C2×C42×C17—24no—
236C2×C42×C17C2311yescharacteristic
237C2×C42×C17C2311yescharacteristic
238C2×C42×C17C2311yescharacteristic
239C2×C42×C17C2311yescharacteristic
240C2×C42×C17C2311yescharacteristic
241C2×C42×C17C2311yescharacteristic
242C2×C42×C17C2311yescharacteristic
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
252C2×C22⋊Dic17C2311yescharacteristic
253#10587623—24no—
254C4×C22⋊D17—24no—
255C4×C22⋊D17—24no—
256C4×C22⋊D17—24no—
257C4×C22⋊D17—24no—
258C4×C22⋊D17—24no—
259C4×C22⋊D17—24no—
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
284#10587612—24no—
285#10587612—24no—
286C2×C4⋊Dic17C2311yescharacteristic
287C2×C4⋊Dic17C2311yescharacteristic
288C2×C4⋊Dic17C2311yescharacteristic
289C2×C4⋊Dic17C2311yescharacteristic
290C2×C4⋊Dic17C2311yescharacteristic
291C2×C4⋊Dic17C2311yescharacteristic
292C2×C4⋊Dic17C2311yescharacteristic
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
322#10587580—24no—
323#10587578—24no—
324#10587578—24no—
325C4⋊C4×D17—24no—
326C4⋊C4×D17—24no—
327#10587569—24no—
328#10587568—24no—
329C22⋊C4×D17—24no—
330C22⋊C4×D17—24no—
331#10587563—24no—
332#10587563—24no—
333C4×D68—24no—
334C4×D68—24no—
335C4×D68—24no—
336#10587558—24no—
337#10587558—24no—
338#10587558—24no—
339#10587558—24no—
340C42×D17—24no—
341C42×D17—24no—
342C42×D17D418yescomplemented
343C4×Dic34—24no—
344C4×Dic34—24no—
345C17×#95C2311yescharacteristic
346C17×#95C2311yescharacteristic
347C17×#95C2311yescharacteristic
348C17×#95C2311yescharacteristic
349C17×#95C2311yescharacteristic
350C17×#95C2311yescharacteristic
351C17×#95C2311yescharacteristic
352C17×#95C2311yescharacteristic
353C17×#95C2311yescharacteristic
354C17×#95C2311yescharacteristic
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
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—22no—
406C22×C4×C17—22no—
407C22×C4×C17—22no—
408C22×C4×C17—22no—
409C22×C4×C17—41no—
410C22×C4×C17—41no—
411C22×C4×C17#4114yescomplemented
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
423C22×C4×C17C2411yescharacteristic
424C22×C4×C17C2411yescharacteristic
425C2×C22⋊D17—22no—
426C2×C22⋊D17—22no—
427C2×C22⋊D17—22no—
428C2×C22⋊D17—22no—
429C2×C22⋊D17—22no—
430C2×C22⋊D17—22no—
431C2×C22⋊D17—22no—
432C2×C22⋊D17—22no—
433C2×C22⋊D17—22no—
434C2×C22⋊D17—41no—
435C2×C22⋊D17—41no—
436C2×C22⋊D17#4114yes—
437C22×Dic17—22no—
438C22×Dic17—22no—
439C22×Dic17—22no—
440C22×Dic17C2411yescharacteristic
441C22×Dic17C2411yescharacteristic
442C22×Dic17C2411yescharacteristic
443C22×Dic17C2411yescharacteristic
444C22×Dic17C2411yescharacteristic
445C22×Dic17C2411yescharacteristic
446C22×Dic17C2411yescharacteristic
447C22×Dic17C2411yescharacteristic
448C22×Dic17C2411yescharacteristic
449C22×Dic17C2411yescharacteristic
450C22×Dic17C2411yescharacteristic
451C22×Dic17C2411yescharacteristic
452C22×Dic17C2411yescharacteristic
453#63252—232no—
454C2×D68—22no—
455C2×D68—22no—
456C2×D68—22no—
457C2×D68—22no—
458C2×D68—41no—
459C2×D68#4114yes—
460C2×C4×D17—232no—
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—22no—
474C2×C4×D17—22no—
475C2×C4×D17—22no—
476C2×C4×D17—22no—
477C2×C4×D17—22no—
478C2×C4×D17—22no—
479C2×C4×D17—22no—
480C2×C4×D17—22no—
481C2×C4×D17—22no—
482C2×C4×D17—22no—
483C2×C4×D17—22no—
484C2×C4×D17—41no—
485C2×C4×D17—41no—
486C2×C4×D17—41no—
487C2×C4×D17—41no—
488C2×C4×D17—41no—
489C2×C4×D17—41no—
490C2×C4×D17C2×D414yes—
491C2×C4×D17C2×D414yes—
492C2×C4×D17C2×D414yes—
493C2×C4×D17#4114yescomplemented
494C2×Dic34—22no—
495C2×Dic34—22no—
496C2×Dic34—22no—
497C4⋊C4×C17—22no—
498C4⋊C4×C17—22no—
499C4⋊C4×C17—22no—
500C4⋊C4×C17—22no—
501C4⋊C4×C17—41no—
502C22⋊C4×C17—22no—
503C22⋊C4×C17—22no—
504C22⋊C4×C17—22no—
505C22⋊C4×C17—22no—
506C22⋊C4×C17—22no—
507C22⋊C4×C17—22no—
508C22⋊C4×C17—41no—
509C22⋊C4×C17—41no—
510C42×C17—22no—
511C42×C17—22no—
512C42×C17—22no—
513C42×C17—22no—
514C42×C17—22no—
515C42×C17—22no—
516C42×C17C2×D414yes—
517C22⋊Dic17—22no—
518C22⋊Dic17—22no—
519C22⋊Dic17—22no—
520C22⋊Dic17—22no—
521C22⋊Dic17—22no—
522C22⋊Dic17—22no—
523C22⋊Dic17—22no—
524C22⋊Dic17—22no—
525C22⋊Dic17—41no—
526C22⋊Dic17—41no—
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—22no—
541#63227—22no—
542#63227—22no—
543#63227—22no—
544#63227—22no—
545#63227—22no—
546#63227—22no—
547#63227—41no—
548#63227—41no—
549#63227—41no—
550#63227—41no—
551C4⋊Dic17—22no—
552C4⋊Dic17—22no—
553C4⋊Dic17—22no—
554C4⋊Dic17—22no—
555C4⋊Dic17—22no—
556C4⋊Dic17—22no—
557C4⋊Dic17—41no—
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—41no—
571#63225—41no—
572#63225—41no—
573#63225—41no—
574#63225—41no—
575#63225—41no—
576C4×Dic17—22no—
577C4×Dic17—22no—
578C4×Dic17—22no—
579C4×Dic17—22no—
580C4×Dic17—22no—
581C4×Dic17—22no—
582C4×Dic17—22no—
583C4×Dic17—22no—
584C4×Dic17C2×D414yes—
585C4×Dic17C2×D414yes—
586C4×Dic17C2×D414yes—
587#34875—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×C17C2×#4112yes—
601C23×C17C2×#4112yes—
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—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—
630C22×D17C2×#4112yes—
631D4×C17—44no—
632C2×C4×C17—28no—
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—21no—
664C2×C4×C17—21no—
665C2×C4×C17—21no—
666C2×C4×C17—44no—
667C2×C4×C17—44no—
668C2×C4×C17C22×D412yes—
669C2×C4×C17C22×D412yes—
670C2×C4×C17C22×D412yes—
671C2×C4×C17C2×#4112yes—
672C2×C4×C17C2×#4112yes—
673C2×C4×C17C2×#4112yes—
674C2×C4×C17C2×#4112yes—
675C22⋊D17—28no—
676C22⋊D17—28no—
677C22⋊D17—44no—
678C22⋊D17—44no—
679C2×Dic17—28no—
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×Dic17—21no—
711C2×Dic17—21no—
712C2×Dic17—21no—
713C2×Dic17—21no—
714C2×Dic17C22×D412yes—
715C2×Dic17C22×D412yes—
716C2×Dic17C22×D412yes—
717C2×Dic17C2×#4112yes—
718C2×Dic17C2×#4112yes—
719D68—28no—
720D68—44no—
721C4×D17—28no—
722C4×D17—28no—
723C4×D17—28no—
724C4×D17—28no—
725C4×D17—28no—
726C4×D17—28no—
727C4×D17—44no—
728C4×D17—44no—
729C4×D17—44no—
730C4×D17—44no—
731C4×D17—44no—
732Dic34—28no—
733C2×C4×#41—171no—
734C22×#117—171no—
735#2609—171no—
736#2609—171no—
737#2609—171no—
738#2609—171no—
739#2599—171no—
740#2599—171no—
741#2598—171no—
742#2598—171no—
743#2579—171no—
744#2579—171no—
745#2534—171no—
746#2534—171no—
747#2484—171no—
748#2482—171no—
749#2406—171no—
750#2404—171no—
751#2396—171no—
752#2396—171no—
753#2392—171no—
754#2392—171no—
755C4×#123—171no—
756C4×#123—171no—
757C4×#120—171no—
758C4×#120—171no—
759#2290—171no—
760#2290—171no—
761#2290—171no—
762#2290D1711yescharacteristic, complemented
763#2283—171no—
764C22×C17—22no—
765C22×C17—22no—
766C22×C17—22no—
767C22×C17—22no—
768C22×C17—22no—
769C22×C17—22no—
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×C17C22×#4111yescharacteristic
780C22×C17C22×#4111yescharacteristic
781C22×C17C22×#4111yescharacteristic
782C22×C17C22×#4111yescharacteristic
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—22no—
795C2×D17—22no—
796C2×D17—22no—
797C2×D17—416no—
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#52514yes—
807C4×C17—22no—
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#52514yes—
820Dic17—22no—
821Dic17—22no—
822Dic17—22no—
823Dic17—22no—
824Dic17—22no—
825Dic17—41no—
826Dic17—41no—
827Dic17—41no—
828Dic17—41no—
829Dic17—41no—
830Dic17—41no—
831Dic17—41no—
832Dic17—41no—
833C22×#41—171no—
834C24×C4—171no—
835C2×#123—171no—
836C2×#123—171no—
837C2×#120—171no—
838C2×#120—171no—
839C4×#41—348no—
840C2×C4×Q8—171no—
841C2×C4×Q8—171no—
842C2×C4×D4—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×D4—171no—
850C2×C4×D4—171no—
851C2×C4×D4C2×D1711yescharacteristic
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—171no—
861C2×#117—171no—
862C2×#117—348no—
863C2×#117C2×D1711yescharacteristic
864C22×C4⋊C4—171no—
865C22×C4⋊C4—171no—
866C22×C22⋊C4—171no—
867C22×C22⋊C4—171no—
868C22×C42—171no—
869C22×C42—171no—
870C22×C42—171no—
871C22×C42C2×D1711yescharacteristic, complemented
872#400—171no—
873#400—171no—
874#399—171no—
875#399—171no—
876#398—171no—
877#398—171no—
878#398—171no—
879#398—171no—
880#398—171no—
881#398—171no—
882#397—171no—
883#397—171no—
884#396—171no—
885#396—171no—
886#396—171no—
887#396—171no—
888#396—171no—
889#396—171no—
890#396—171no—
891#396—171no—
892#395—171no—
893#395—171no—
894#394—171no—
895#394—171no—
896#394—171no—
897#394—171no—
898#394—171no—
899#394—171no—
900#393—171no—
901#393—171no—
902#392—171no—
903#392—171no—
904#388—171no—
905#388—171no—
906#388—171no—
907#388—171no—
908#388—171no—
909#388—171no—
910#388—171no—
911#388—171no—
912#388—171no—
913#388—171no—
914#388C2×D1711yescharacteristic
915#388C2×D1711yescharacteristic
916#387—171no—
917#387—171no—
918#387—171no—
919#387—171no—
920#387—171no—
921#387—171no—
922#387—171no—
923#387—171no—
924#387—171no—
925#387—171no—
926#387C2×D1711yescharacteristic, complemented
927#387C2×D1711yescharacteristic, complemented
928#386—171no—
929#386—171no—
930#386—171no—
931#386—171no—
932#386—171no—
933#386—171no—
934#386—171no—
935#386—171no—
936#386—171no—
937#386—171no—
938#386—171no—
939#386—171no—
940#386—171no—
941#386—171no—
942#386C2×D1711yescharacteristic
943#386C2×D1711yescharacteristic
944#385—171no—
945#385—171no—
946#385—171no—
947#385—171no—
948#385—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#385—171no—
958#385C2×D1711yescharacteristic, complemented
959#385C2×D1711yescharacteristic, complemented
960#383—171no—
961#383—171no—
962#382—171no—
963#382—171no—
964#381—171no—
965#381—171no—
966#381—171no—
967#381—171no—
968#380—171no—
969#380—171no—
970#379—171no—
971#379—171no—
972C4×C4⋊C4—171no—
973C4×C4⋊C4—171no—
974C4×C4⋊C4—171no—
975C4×C4⋊C4—171no—
976C4×C4⋊C4—171no—
977C4×C4⋊C4C2×D1711yescharacteristic, complemented
978C4×C22⋊C4—171no—
979C4×C22⋊C4—171no—
980C4×C22⋊C4—171no—
981C4×C22⋊C4—171no—
982C4×C22⋊C4—171no—
983C4×C22⋊C4—171no—
984C4×C22⋊C4—171no—
985C4×C22⋊C4—171no—
986C4×C22⋊C4C2×D1711yescharacteristic
987C4×C22⋊C4C2×D1711yescharacteristic, complemented
988#376—171no—
989#376C2×D1711yescharacteristic, complemented
990C2×C17—42no—
991C2×C17—42no—
992C2×C17C2×#52511yescharacteristic
993C2×C17C2×#52511yescharacteristic
994C2×C17#344911yescharacteristic
995C2×C17#347511yescharacteristic
996C2×C17#347511yescharacteristic
997C2×C17#347511yescharacteristic
998C2×C17#347511yescharacteristic
999D17—24no—
1000D17—42no—
1001D17—42no—
1002C25—171no—
1003C2×#41—344no—
1004C2×#41—344no—
1005C2×#41—344no—
1006C22×Q8—171no—
1007C22×D4—171no—
1008C22×D4—171no—
1009C22×D4—171no—
1010C22×D4—171no—
1011C22×D4—171no—
1012C22×D4—171no—
1013C22×D4C22×D1711yescharacteristic
1014C23×C4—171no—
1015C23×C4—171no—
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—171no—
1025C23×C4—171no—
1026C23×C4—344no—
1027C23×C4—344no—
1028C23×C4—344no—
1029C23×C4C22×D1711yescharacteristic
1030C23×C4C22×D1711yescharacteristic
1031C23×C4C22×D1711yescharacteristic
1032C23×C4C22×D1711yescharacteristic
1033#123—344no—
1034#123—344no—
1035#120—344no—
1036#120—344no—
1037C4×Q8—344no—
1038C4×Q8—344no—
1039C4×D4—24no—
1040C4×D4—344no—
1041C4×D4—344no—
1042C4×D4—344no—
1043C4×D4—344no—
1044C4×D4—344no—
1045C4×D4—344no—
1046C4×D4—344no—
1047C4×D4—344no—
1048C4×D4—344no—
1049#117—24no—
1050#117—344no—
1051#117—344no—
1052#117—344no—
1053#117—344no—
1054#117—344no—
1055#117—344no—
1056#117—344no—
1057#117—344no—
1058#117—344no—
1059#117—344no—
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—171no—
1081C2×C4⋊C4—171no—
1082C2×C4⋊C4—171no—
1083C2×C4⋊C4—171no—
1084C2×C4⋊C4—171no—
1085C2×C4⋊C4—344no—
1086C2×C4⋊C4—344no—
1087C2×C4⋊C4C22×D1711yescharacteristic
1088C2×C4⋊C4C22×D1711yescharacteristic
1089C2×C4⋊C4C22×D1711yescharacteristic
1090C2×C4⋊C4C22×D1711yescharacteristic
1091C2×C4⋊C4C22×D1711yescharacteristic
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—171no—
1126C2×C22⋊C4—344no—
1127C2×C22⋊C4—344no—
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×C42—24no—
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—344no—
1150C2×C42—344no—
1151C2×C42C22×D1711yescharacteristic
1152C2×C42C22×D1711yescharacteristic
1153C2×C42C22×D1711yescharacteristic
1154C2×C42C22×D1711yescharacteristic
1155C2×C42C22×D1711yescharacteristic
1156C2×C42C22×D1711yescharacteristic
1157C2×C42C22×D1711yescharacteristic
1158#95—171no—
1159#95—171no—
1160#95—171no—
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#95—171no—
1188#95C22×D1711yescharacteristic
1189#95C22×D1711yescharacteristic
1190#95C22×D1711yescharacteristic
1191#95C22×D1711yescharacteristic
1192#95C22×D1711yescharacteristic
1193#95C22×D1711yescharacteristic
1194#95C22×D1711yescharacteristic
1195#95C22×D1711yescharacteristic
1196#95C22×D1711yescharacteristic
1197#95C22×D1711yescharacteristic
1198C17#3487511yescharacteristic, complemented, Sylow
1199C24—171no—
1200C24—171no—
1201C24—171no—
1202C24—342no—
1203C24—342no—
1204C24—342no—
1205C24—342no—
1206C24—342no—
1207C24—681no—
1208C24—681no—
1209C24C23×D1711yescharacteristic
1210C24C23×D1711yescharacteristic
1211#41—3432no—
1212C2×Q8—342no—
1213C2×Q8—342no—
1214C2×Q8—342no—
1215C2×D4—22no—
1216C2×D4—22no—
1217C2×D4—41no—
1218C2×D4—174no—
1219C2×D4—174no—
1220C2×D4—342no—
1221C2×D4—342no—
1222C2×D4—342no—
1223C2×D4—342no—
1224C2×D4—342no—
1225C2×D4—342no—
1226C2×D4—342no—
1227C2×D4—342no—
1228C2×D4—342no—
1229C2×D4—342no—
1230C2×D4—342no—
1231C2×D4—342no—
1232C2×D4—342no—
1233C2×D4—681no—
1234C2×D4—681no—
1235C2×D4—681no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—41no—
1246C22×C4—41no—
1247C22×C4—171no—
1248C22×C4—171no—
1249C22×C4—171no—
1250C22×C4—171no—
1251C22×C4—171no—
1252C22×C4—174no—
1253C22×C4—174no—
1254C22×C4—174no—
1255C22×C4—174no—
1256C22×C4—171no—
1257C22×C4—171no—
1258C22×C4—171no—
1259C22×C4—171no—
1260C22×C4—171no—
1261C22×C4—171no—
1262C22×C4—171no—
1263C22×C4—171no—
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—3432no—
1273C22×C4—342no—
1274C22×C4—342no—
1275C22×C4—342no—
1276C22×C4—342no—
1277C22×C4—342no—
1278C22×C4—342no—
1279C22×C4—342no—
1280C22×C4—342no—
1281C22×C4—342no—
1282C22×C4—342no—
1283C22×C4—342no—
1284C22×C4—342no—
1285C22×C4—342no—
1286C22×C4—342no—
1287C22×C4—342no—
1288C22×C4—342no—
1289C22×C4—342no—
1290C22×C4—342no—
1291C22×C4—681no—
1292C22×C4—681no—
1293C22×C4—681no—
1294C22×C4—681no—
1295C22×C4—681no—
1296C22×C4—681no—
1297C22×C4#6325214yescomplemented
1298C22×C4C23×D1711yescharacteristic
1299C22×C4C23×D1711yescharacteristic
1300C22×C4C23×D1711yescharacteristic
1301C22×C4C23×D1711yescharacteristic
1302C22×C4C23×D1711yescharacteristic
1303C22×C4C23×D1711yescharacteristic
1304C22×C4C23×D1711yescharacteristic
1305C22×C4C23×D1711yescharacteristic
1306C22×C4C23×D1711yescharacteristic
1307C22×C4C23×D1711yescharacteristic
1308C22×C4C23×D1711yescharacteristic
1309C22×C4C23×D1711yescharacteristic
1310C22×C4C23×D1711yescharacteristic
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—22no—
1314C4⋊C4—22no—
1315C4⋊C4—41no—
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—342no—
1327C4⋊C4—342no—
1328C4⋊C4—342no—
1329C4⋊C4—342no—
1330C4⋊C4—342no—
1331C4⋊C4—342no—
1332C4⋊C4—342no—
1333C4⋊C4—342no—
1334C4⋊C4—681no—
1335C4⋊C4—681no—
1336C4⋊C4—681no—
1337C4⋊C4—681no—
1338C4⋊C4—681no—
1339C4⋊C4—681no—
1340C4⋊C4—681no—
1341C22⋊C4—22no—
1342C22⋊C4—22no—
1343C22⋊C4—22no—
1344C22⋊C4—22no—
1345C22⋊C4—22no—
1346C22⋊C4—22no—
1347C22⋊C4—41no—
1348C22⋊C4—41no—
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—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—
1383C42—22no—
1384C42—22no—
1385C42—22no—
1386C42—22no—
1387C42—22no—
1388C42—22no—
1389C42—174no—
1390C42—174no—
1391C42—174no—
1392C42—342no—
1393C42—342no—
1394C42—342no—
1395C42—342no—
1396C42—342no—
1397C42—342no—
1398C42—342no—
1399C42—342no—
1400C42D4×D1714yes—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—172no—
1414C23—172no—
1415C23—172no—
1416C23—172no—
1417C23—172no—
1418C23—348no—
1419C23—341no—
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—684no—
1436C23—684no—
1437C23—684no—
1438C23—684no—
1439C23—684no—
1440C23—684no—
1441C23C2×#6325212yes—
1442C23#41×D1712yes—
1443C23C24×D1711yescharacteristic
1444Q8—348no—
1445D4—44no—
1446D4—348no—
1447D4—348no—
1448D4—348no—
1449D4—684no—
1450D4—684no—
1451D4—684no—
1452C2×C4—28no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—28no—
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—44no—
1487C2×C4—44no—
1488C2×C4—172no—
1489C2×C4—172no—
1490C2×C4—172no—
1491C2×C4—172no—
1492C2×C4—172no—
1493C2×C4—348no—
1494C2×C4—348no—
1495C2×C4—348no—
1496C2×C4—348no—
1497C2×C4—348no—
1498C2×C4—341no—
1499C2×C4—341no—
1500C2×C4—341no—
1501C2×C4—341no—
1502C2×C4—341no—
1503C2×C4—341no—
1504C2×C4—341no—
1505C2×C4—341no—
1506C2×C4—341no—
1507C2×C4—341no—
1508C2×C4—348no—
1509C2×C4—348no—
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—684no—
1535C2×C4—684no—
1536C2×C4—684no—
1537C2×C4—684no—
1538C2×C4—684no—
1539C2×C4C2×#6325212yes—
1540C2×C4C2×#6325212yes—
1541C2×C4C2×D4×D1712yes—
1542C2×C4C2×D4×D1712yes—
1543C2×C4C2×D4×D1712yes—
1544C2×C4#41×D1712yes—
1545C2×C4#41×D1712yes—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—174no—
1561C22—342no—
1562C22—342no—
1563C22—342no—
1564C22—342no—
1565C22—342no—
1566C22—342no—
1567C22—342no—
1568C22—342no—
1569C22—342no—
1570C22—342no—
1571C22—342no—
1572C22—342no—
1573C22—6816no—
1574C22—681no—
1575C22—681no—
1576C22—681no—
1577C22—681no—
1578C22—681no—
1579C22—681no—
1580C22—681no—
1581C22—681no—
1582C22C22×D4×D1711yescharacteristic
1583C22C2×#41×D1711yescharacteristic
1584C22C2×#41×D1711yescharacteristic
1585C22C2×#41×D1711yescharacteristic
1586C22C22×#6325211yescharacteristic
1587C22#1176364511yescharacteristic
1588C22#1176364511yescharacteristic
1589C4—22no—
1590C4—22no—
1591C4—22no—
1592C4—22no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—342no—
1602C4—342no—
1603C4—342no—
1604C4—342no—
1605C4—342no—
1606C4—681no—
1607C4—681no—
1608C4—681no—
1609C4—681no—
1610C4—681no—
1611C4—681no—
1612C4—681no—
1613C4—681no—
1614C4#1176331814yes—
1615C2—42no—
1616C2—42no—
1617C2—344no—
1618C2—682no—
1619C2—682no—
1620C2D17×#52511yescharacteristic
1621C2C2×#1176331811yescharacteristic
1622C2#1454211411yescharacteristic
1623C2#1454233611yescharacteristic
1624C2#1454233811yescharacteristic
1625C2#1454234011yescharacteristic
1626C2#1454234811yescharacteristic
subgroupG/H
centerC22×C4C23×D17
commutator, socle, cosocleC23×C17C25
FrattiniC23C24×D17
FittingC17×#2290C2
prime radical#14532101C2
hypercenter#2290D17
hypocenterC17#34875
LCSG ▷ C23×C17 ▷ C17
UCSC1 ◁ C22×C4 ◁ #2290

Complements

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

NH ≅ G/Ntype
1. C2×C4×#63252C2semidirect
2. C2×#117×D17C2semidirect
3. #14534463C2semidirect
4. #14534460C2semidirect
5. #14534459C2semidirect
6. #14534458C2semidirect
7. #14534360C2semidirect
8. #14534358C2semidirect
9. #14534349C2semidirect
10. #14534347C2semidirect
11. #14534135C2semidirect
12. #14534129C2semidirect
13. #14533678C2semidirect
14. #14533672C2semidirect
15. #14533069C2semidirect
16. #14533056C2semidirect
17. #14532117C2semidirect
19. #14532060C2semidirect
20. #14532058C2semidirect
21. #14532028C2semidirect
22. #14532026C2semidirect
23. C4×#10587580C2semidirect
24. C4×#10587569C2semidirect
25. C4×#10587568C2semidirect
26. C4×#10587623C2semidirect
27. #14531228C2semidirect
28. #14531227C2semidirect
29. #14531221C2semidirect
30. #14531176C2semidirect
31. C17×#2290C2semidirect
39. C2×C4×Dic34C22semidirect
40. C2×C4×Dic34C22semidirect
48. C2×C4×C22⋊D17C22semidirect
49. C2×C4×C22⋊D17C22semidirect
51. C2×#10587612C22semidirect
57. C2×#10587558C22semidirect
67. C2×C42×D17C22semidirect
68. #11762751C22semidirect
69. #11762750C22semidirect
72. #11762743C22semidirect
73. #11762743C22semidirect
74. #11762743C22semidirect
75. #11762742C22semidirect
76. #11762741C22semidirect
77. #11762740C22semidirect
81. #11762733C22semidirect
84. #11762732C22semidirect
85. #11762732C22semidirect
87. #11762731C22semidirect
88. #11762730C22semidirect
89. #11762729C22semidirect
91. #11762725C22semidirect
94. #11762724C22semidirect
100. #11762703C22semidirect
101. #11762702C22semidirect
106. #11762699C22semidirect
107. #11762698C22semidirect
110. #11762696C22semidirect
111. #11762695C22semidirect
112. #11762694C22semidirect
113. #11762694C22semidirect
114. #11762693C22semidirect
115. #11762693C22semidirect
116. #11762692C22semidirect
117. #11762691C22semidirect
118. #11762690C22semidirect
119. #11762690C22semidirect
138. #11762683C22semidirect
139. #11762683C22semidirect
140. #11762682C22semidirect
141. #11762682C22semidirect
146. #11762680C22semidirect
147. #11762680C22semidirect
148. #11762676C22semidirect
149. #11762676C22semidirect
150. #11762673C22semidirect
151. #11762673C22semidirect
160. C4×#63225C22semidirect
161. C4×#63225C22semidirect
162. C4×#63225C22semidirect
163. C4×#63225C22semidirect
164. C4×C4⋊Dic17C22semidirect
169. C4×#63227C22semidirect
170. C4×#63227C22semidirect
172. C4×C22⋊Dic17C22semidirect
173. #11762655C22semidirect
176. C22×C42×C17C22semidirect
179. C17×#387C22semidirect
180. C17×#387C22semidirect
183. C17×#385C22semidirect
184. C17×#385C22semidirect
185. C4×C4⋊C4×C17C22semidirect
187. C4×C22⋊C4×C17C22semidirect
188. C17×#376C22semidirect
342. C42×D17D4semidirect
411. C22×C4×C17#41semidirect
493. C2×C4×D17#41semidirect
762. #2290D17semidirect
871. C22×C42C2×D17semidirect
926. #387C2×D17semidirect
927. #387C2×D17semidirect
958. #385C2×D17semidirect
959. #385C2×D17semidirect
977. C4×C4⋊C4C2×D17semidirect
987. C4×C22⋊C4C2×D17semidirect
989. #376C2×D17semidirect
1198. C17#34875semidirect
1297. C22×C4#63252semidirect

Maximal subgroups

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

subgroupindex
C2×C4×#632522
C2×#117×D172
#145344632
#145344602
#145344592
#145344582
#145343602
#145343582
#145343492
#145343472
#145341352
#145341292
#145336782
#145336722
#145330692
#145330562
#145321172
#145321012
#145320602
#145320582
#145320282
#145320262
C4×#105875802
C4×#105875692
C4×#105875682
C4×#105876232
#145312282
#145312272
#145312212
#145311762
C17×#22902
#3487517