Finite Group Databasebeta

← #17241530

Subgroups — #17241530

Order 4352.

2130 conjugacy classes of subgroups.

The subgroup lattice has 1678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#14537065C211yesmaximal, characteristic, complemented
2#14537065C211yesmaximal, characteristic, complemented
3#14535928C211yesmaximal, characteristic, complemented
4#14535924C211yesmaximal, characteristic, complemented
5#14535920C211yesmaximal, characteristic, complemented
6#14535916C211yesmaximal, characteristic, complemented
7#14535889C211yesmaximal, characteristic, complemented
8#14535885C211yesmaximal, characteristic, complemented
9#14535881C211yesmaximal, characteristic, complemented
10#14535877C211yesmaximal, characteristic, complemented
11#14535372C211yesmaximal, characteristic, complemented
12#14535371C211yesmaximal, characteristic, complemented
13#14535368C211yesmaximal, characteristic, complemented
14#14535366C211yesmaximal, characteristic, complemented
15#14535225C211yesmaximal, characteristic, complemented
16#14535221C211yesmaximal, characteristic, complemented
17#14535217C211yesmaximal, characteristic, complemented
18#14535213C211yesmaximal, characteristic, complemented
19#14534888C211yesmaximal, characteristic, complemented
20#14534756C211yesmaximal, characteristic, complemented
21#14532540C211yesmaximal, characteristic, complemented
22#14532534C211yesmaximal, characteristic, complemented
23#14532532C211yesmaximal, characteristic, complemented
24#14532326C211yesmaximal, characteristic, complemented
25#14532322C211yesmaximal, characteristic, complemented
26#14532318C211yesmaximal, characteristic, complemented
27#14532314C211yesmaximal, characteristic, complemented
28#14531485C211yesmaximal, characteristic, complemented
29#14531482C211yesmaximal, characteristic, complemented
30C2×#11762671C211yesmaximal, characteristic, complemented
31C17×#2444C211yesmaximal, characteristic, complemented
32C23×C4×D17C2211yescharacteristic
33C2×#10587581C2211yescharacteristic
34C2×#10587616C2211yescharacteristic
35C2×#10587616C2211yescharacteristic
36C2×#10587570C2211yescharacteristic
37C2×#10587570C2211yescharacteristic
38C2×#10587570C2211yescharacteristic
39C2×#10587570C2211yescharacteristic
40C2×#10587570C2211yescharacteristic
41C2×#10587625C2211yescharacteristic
42C2×#10587625C2211yescharacteristic
43C2×#10587625C2211yescharacteristic
44C2×#10587625C2211yescharacteristic
45C2×#10587625C2211yescharacteristic
46C2×#10587568C2211yescharacteristic
47C2×#10587568C2211yescharacteristic
48C2×#10587623C2211yescharacteristic
49C2×#10587623C2211yescharacteristic
50C2×D4×Dic17C2211yescharacteristic
51C2×C4×C22⋊D17C2211yescharacteristic
52C2×#10587567C2211yescharacteristic
53C22×#63227C2211yescharacteristic
54C22×#63227C2211yescharacteristic
55#11762751C2211yescharacteristic, complemented
56#11762750C2211yescharacteristic, complemented
57#11762750C2211yescharacteristic, complemented
58#11762750C2211yescharacteristic, complemented
59#11762749C2211yescharacteristic, complemented
60#11762749C2211yescharacteristic, complemented
61#11762747C2211yescharacteristic, complemented
62#11762745C2211yescharacteristic, complemented
63#11762745C2211yescharacteristic, complemented
64#11762744C2211yescharacteristic, complemented
65#11762744C2211yescharacteristic, complemented
66#11762743C2211yescharacteristic, complemented
67#11762742C2211yescharacteristic, complemented
68#11762740C2211yescharacteristic, complemented
69#11762739C2211yescharacteristic, complemented
70#11762738C2211yescharacteristic, complemented
71#11762738C2211yescharacteristic, complemented
72#11762738C2211yescharacteristic, complemented
73#11762737C2211yescharacteristic, complemented
74#11762736C2211yescharacteristic, complemented
75#11762734C2211yescharacteristic, complemented
76#11762733C2211yescharacteristic
77#11762731C2211yescharacteristic
78#11762731C2211yescharacteristic
79#11762731C2211yescharacteristic
80#11762727C2211yescharacteristic
81#11762727C2211yescharacteristic
82#11762727C2211yescharacteristic, complemented
83#11762726C2211yescharacteristic
84#11762726C2211yescharacteristic
85#11762725C2211yescharacteristic
86#11762725C2211yescharacteristic
87#11762725C2211yescharacteristic, complemented
88#11762724C2211yescharacteristic
89#11762724C2211yescharacteristic
90#11762724C2211yescharacteristic, complemented
91#11762719C2211yescharacteristic
92#11762718C2211yescharacteristic
93#11762718C2211yescharacteristic
94#11762718C2211yescharacteristic, complemented
95#11762718C2211yescharacteristic, complemented
96#11762717C2211yescharacteristic
97#11762717C2211yescharacteristic, complemented
98#11762717C2211yescharacteristic, complemented
99#11762711C2211yescharacteristic
100#11762710C2211yescharacteristic
101#11762709C2211yescharacteristic
102#11762709C2211yescharacteristic
103#11762703C2211yescharacteristic, complemented
104#11762703C2211yescharacteristic, complemented
105#11762701C2211yescharacteristic
106#11762701C2211yescharacteristic, complemented
107#11762700C2211yescharacteristic
108#11762700C2211yescharacteristic, complemented
109#11762699C2211yescharacteristic
110#11762698C2211yescharacteristic
111#11762698C2211yescharacteristic, complemented
112#11762698C2211yescharacteristic, complemented
113#11762697C2211yescharacteristic, complemented
114#11762696C2211yescharacteristic, complemented
115#11762696C2211yescharacteristic, complemented
116#11762694C2211yescharacteristic, complemented
117#11762693C2211yescharacteristic, complemented
118#11762691C2211yescharacteristic, complemented
119#11762691C2211yescharacteristic, complemented
120#11762690C2211yescharacteristic, complemented
121#11762689C2211yescharacteristic
122#11762688C2211yescharacteristic
123#11762688C2211yescharacteristic
124#11762688C2211yescharacteristic
125#11762688C2211yescharacteristic
126#11762688C2211yescharacteristic, complemented
127#11762687C2211yescharacteristic
128#11762687C2211yescharacteristic
129#11762687C2211yescharacteristic
130#11762687C2211yescharacteristic
131#11762687C2211yescharacteristic
132#11762687C2211yescharacteristic
133#11762687C2211yescharacteristic, complemented
134#11762686C2211yescharacteristic
135#11762686C2211yescharacteristic
136#11762686C2211yescharacteristic, complemented
137#11762686C2211yescharacteristic, complemented
138#11762685C2211yescharacteristic
139#11762685C2211yescharacteristic
140#11762685C2211yescharacteristic
141#11762685C2211yescharacteristic
142#11762685C2211yescharacteristic, complemented
143#11762685C2211yescharacteristic, complemented
144#11762685C2211yescharacteristic, complemented
145#11762684C2211yescharacteristic
146#11762683C2211yescharacteristic, complemented
147#11762682C2211yescharacteristic
148#11762682C2211yescharacteristic, complemented
149#11762681C2211yescharacteristic
150#11762681C2211yescharacteristic, complemented
151#11762680C2211yescharacteristic, complemented
152#11762671C2211yescharacteristic
153#11762671C2211yescharacteristic
154#11762671C2211yescharacteristic
155#11762671C2211yescharacteristic
156#11762671C2211yescharacteristic
157#11762671C2211yescharacteristic
158#11762671C2211yescharacteristic
159#11762671C2211yescharacteristic
160#11762671C2211yescharacteristic, complemented
161#11762671C2211yescharacteristic, complemented
162#11762670C2211yescharacteristic, complemented
163#11762668C2211yescharacteristic
164#11762668C2211yescharacteristic
165#11762668C2211yescharacteristic
166#11762668C2211yescharacteristic
167#11762667C2211yescharacteristic
168#11762667C2211yescharacteristic
169C2×#10587502C2211yescharacteristic
170C2×#10587502C2211yescharacteristic
171C2×#10587502C2211yescharacteristic
172C2×C17×#121C2211yescharacteristic
173C2×C4×D4×C17C2211yescharacteristic
174C17×#400C2211yescharacteristic, complemented
175C17×#397C2211yescharacteristic, complemented
176C17×#397C2211yescharacteristic, complemented
177C17×#394C2211yescharacteristic, complemented
178C17×#388C2211yescharacteristic, complemented
179C17×#387C2211yescharacteristic, complemented
180C17×#386C2211yescharacteristic
181C17×#386C2211yescharacteristic
182C17×#386C2211yescharacteristic
183C17×#386C2211yescharacteristic, complemented
184C17×#385C2211yescharacteristic
185C17×#381C2211yescharacteristic, complemented
186C2×C17×#95C2211yescharacteristic
187C24×D17C2311yescharacteristic
188C22×D4×C17C2311yescharacteristic
189C22×D4×C17C2311yescharacteristic
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
199C22×C22⋊D17C2311yescharacteristic
200C22×C22⋊D17C2311yescharacteristic
201C22×C22⋊D17C2311yescharacteristic
202C22×C22⋊D17C2311yescharacteristic
203C22×C22⋊D17C2311yescharacteristic
204C22×C22⋊D17C2311yescharacteristic
205C23×Dic17C2311yescharacteristic
206C23×Dic17C2311yescharacteristic
207C23×Dic17C2311yescharacteristic
208C23×Dic17C2311yescharacteristic
209C22×D68C2311yescharacteristic
210C22×D68C2311yescharacteristic
211C22×D68C2311yescharacteristic
212C22×D68C2311yescharacteristic
213C22×D68C2311yescharacteristic
214C22×C4×D17—24no—
215C22×C4×D17—42no—
216C22×C4×D17—42no—
217C22×C4×D17C2311yescharacteristic
218C22×C4×D17C2311yescharacteristic
219C22×C4×D17C2311yescharacteristic
220C22×C4×D17C2311yescharacteristic
221C22×C4×D17C2311yescharacteristic
222C22×C4×D17C2311yescharacteristic
223C17×#121—42no—
224C4×D4×C17—42no—
225C2×C4⋊C4×C17C2311yescharacteristic
226C2×C4⋊C4×C17C2311yescharacteristic
227C2×C4⋊C4×C17C2311yescharacteristic
228C2×C4⋊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×C22⋊C4×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
250#10587625—24no—
251#10587625—24no—
252#10587625—42no—
253#10587625—42no—
254#10587625—42no—
255#10587623—42no—
256#10587623—42no—
257D4×Dic17—42no—
258#10587616—42no—
259#10587616—42no—
260C4×C22⋊D17—42no—
261C2×#63227—42no—
262C2×#63227—42no—
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×#63227C2311yescharacteristic
286C2×#63227C2311yescharacteristic
287C2×#63227C2311yescharacteristic
288C2×#63227C2311yescharacteristic
289C2×#63227C2311yescharacteristic
290C2×#63227C2311yescharacteristic
291C2×#63227C2311yescharacteristic
292C2×#63227C2311yescharacteristic
293C2×#63227C2311yescharacteristic
294C2×#63227C2311yescharacteristic
295C2×C4⋊Dic17C2311yescharacteristic
296C2×C4⋊Dic17C2311yescharacteristic
297C2×C4⋊Dic17C2311yescharacteristic
298C2×C4⋊Dic17C2311yescharacteristic
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×C4×Dic17C2311yescharacteristic
314C2×C4×Dic17C2311yescharacteristic
315C2×C4×Dic17C2311yescharacteristic
316#10587581—42no—
317#10587570—42no—
318#10587570—42no—
319#10587570—42no—
320#10587570—42no—
321#10587570—42no—
322#10587568—42no—
323#10587568—42no—
324#10587567—42no—
325C17×#95C2311yescharacteristic
326C17×#95C2311yescharacteristic
327C17×#95C2311yescharacteristic
328C17×#95C2311yescharacteristic
329C17×#95C2311yescharacteristic
330C17×#95C2311yescharacteristic
331C17×#95C2311yescharacteristic
332C17×#95C2311yescharacteristic
333C17×#95C2311yescharacteristic
334C17×#95C2311yescharacteristic
335C17×#95C2311yescharacteristic
336C17×#95C2311yescharacteristic
337#10587502C2311yescharacteristic
338#10587502C2311yescharacteristic
339#10587502C2311yescharacteristic
340#10587502C2311yescharacteristic
341#10587502C2311yescharacteristic
342#10587502C2311yescharacteristic
343#10587502C2311yescharacteristic
344#10587502C2311yescharacteristic
345#10587502C2311yescharacteristic
346#10587502C2311yescharacteristic
347#10587502C2311yescharacteristic
348#10587502C2311yescharacteristic
349#10587502C2311yescharacteristic
350#10587502C2311yescharacteristic
351#10587502C2311yescharacteristic
352#10587502C2311yescharacteristic
353#10587502C2311yescharacteristic
354#10587502C2311yescharacteristic
355#10587502C2311yescharacteristic
356#10587502C2311yescharacteristic
357#10587502C2311yescharacteristic
358#10587502C2311yescharacteristic
359#10587502C2311yescharacteristic
360#10587502C2311yescharacteristic
361#10587502C2311yescharacteristic
362#10587502C2311yescharacteristic
363#10587502C2311yescharacteristic
364#10587502C2311yescharacteristic
365#10587502C2311yescharacteristic
366#10587502C2311yescharacteristic
367#10587502C2311yescharacteristic
368#10587502C2311yescharacteristic
369C24×C17C2411yescharacteristic
370C24×C17C2411yescharacteristic
371C24×C17C2411yescharacteristic
372C23×D17—22no—
373C23×D17—22no—
374C23×D17—22no—
375C23×D17—22no—
376C23×D17—22no—
377C23×D17—41no—
378C23×D17—41no—
379C23×D17C2411yescharacteristic
380C23×D17C2411yescharacteristic
381C23×D17C2411yescharacteristic
382C23×D17C2411yescharacteristic
383C2×D4×C17—22no—
384C2×D4×C17—22no—
385C2×D4×C17—22no—
386C2×D4×C17—22no—
387C2×D4×C17—22no—
388C2×D4×C17—22no—
389C2×D4×C17—41no—
390C2×D4×C17—41no—
391C2×D4×C17—41no—
392C22×C4×C17—22no—
393C22×C4×C17—22no—
394C22×C4×C17—22no—
395C22×C4×C17—41no—
396C22×C4×C17—41no—
397C22×C4×C17—41no—
398C22×C4×C17—41no—
399C22×C4×C17—41no—
400C22×C4×C17—41no—
401C22×C4×C17—41no—
402C22×C4×C17—41no—
403C22×C4×C17—41no—
404C22×C4×C17C2411yescharacteristic
405C22×C4×C17C2411yescharacteristic
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
416C2×C22⋊D17—22no—
417C2×C22⋊D17—22no—
418C2×C22⋊D17—22no—
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—22no—
428C2×C22⋊D17—41no—
429C2×C22⋊D17—41no—
430C2×C22⋊D17—41no—
431C2×C22⋊D17—41no—
432C2×C22⋊D17—41no—
433C2×C22⋊D17—41no—
434C2×C22⋊D17—41no—
435C2×C22⋊D17—41no—
436C2×C22⋊D17—41no—
437C2×C22⋊D17—41no—
438C2×C22⋊D17—41no—
439C2×C22⋊D17—41no—
440C2×C22⋊D17—41no—
441C2×C22⋊D17—41no—
442C2×C22⋊D17—41no—
443C2×C22⋊D17—41no—
444C2×C22⋊D17—41no—
445C2×C22⋊D17—41no—
446C22×Dic17—22no—
447C22×Dic17—22no—
448C22×Dic17—41no—
449C22×Dic17—41no—
450C22×Dic17—41no—
451C22×Dic17—41no—
452C22×Dic17—41no—
453C22×Dic17—41no—
454C22×Dic17—41no—
455C22×Dic17—41no—
456C22×Dic17—41no—
457C22×Dic17#4114yes—
458C22×Dic17C2411yescharacteristic
459C22×Dic17C2411yescharacteristic
460C22×Dic17C2411yescharacteristic
461C22×Dic17C2411yescharacteristic
462C22×Dic17C2411yescharacteristic
463C22×Dic17C2411yescharacteristic
464C22×Dic17C2411yescharacteristic
465C22×Dic17C2411yescharacteristic
466C22×Dic17C2411yescharacteristic
467C22×Dic17C2411yescharacteristic
468C22×Dic17C2411yescharacteristic
469C22×Dic17C2411yescharacteristic
470C2×D68—22no—
471C2×D68—22no—
472C2×D68—22no—
473C2×D68—22no—
474C2×D68—41no—
475C2×D68—41no—
476C2×D68—41no—
477C2×D68—41no—
478C2×D68—41no—
479C2×D68—41no—
480C2×D68—41no—
481C2×D68—41no—
482C2×D68—41no—
483C2×D68—41no—
484C2×D68—41no—
485C2×C4×D17—22no—
486C2×C4×D17—22no—
487C2×C4×D17—22no—
488C2×C4×D17—22no—
489C2×C4×D17—22no—
490C2×C4×D17—22no—
491C2×C4×D17—22no—
492C2×C4×D17—22no—
493C2×C4×D17—41no—
494C2×C4×D17—41no—
495C2×C4×D17—41no—
496C2×C4×D17—41no—
497C2×C4×D17—416no—
498C2×C4×D17—41no—
499C2×C4×D17—41no—
500C2×C4×D17—41no—
501C2×C4×D17—41no—
502C2×C4×D17—41no—
503C2×C4×D17—41no—
504C4⋊C4×C17—41no—
505C4⋊C4×C17—41no—
506C4⋊C4×C17—41no—
507C4⋊C4×C17—41no—
508C22⋊C4×C17—22no—
509C22⋊C4×C17—22no—
510C22⋊C4×C17—41no—
511C22⋊C4×C17—41no—
512C22⋊C4×C17—41no—
513C22⋊C4×C17—41no—
514C22⋊C4×C17—41no—
515C22⋊C4×C17—41no—
516C22⋊C4×C17—41no—
517C22⋊C4×C17—41no—
518C22⋊C4×C17—41no—
519C42×C17—41no—
520C22⋊Dic17—22no—
521C22⋊Dic17—22no—
522C22⋊Dic17—22no—
523C22⋊Dic17—22no—
524C22⋊Dic17—41no—
525C22⋊Dic17—41no—
526C22⋊Dic17—41no—
527C22⋊Dic17—41no—
528C22⋊Dic17—41no—
529#63227—22no—
530#63227—22no—
531#63227—22no—
532#63227—22no—
533#63227—22no—
534#63227—22no—
535#63227—41no—
536#63227—41no—
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—
549#63227—41no—
550#63227—41no—
551#63227—41no—
552#63227—41no—
553#63227—41no—
554#63227—41no—
555#63227—41no—
556#63227—41no—
557#63227—41no—
558#63227—41no—
559#63227—41no—
560#63227—41no—
561C4⋊Dic17—41no—
562C4⋊Dic17—41no—
563C4⋊Dic17—41no—
564C4⋊Dic17—41no—
565#63225—22no—
566#63225—22no—
567#63225—41no—
568#63225—41no—
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—
579C4×Dic17—41no—
580C4×Dic17—41no—
581C4×Dic17—41no—
582#36731—171nomaximal, Sylow
583C23×C17—21no—
584C23×C17—21no—
585C23×C17—21no—
586C23×C17—21no—
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×C17—21no—
601C23×C17C2×#4112yes—
602C23×C17H(5,𝔽2)12yes—
603C23×C17H(5,𝔽2)12yes—
604C23×C17C2511yescharacteristic
605C22×D17—28no—
606C22×D17—21no—
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—21no—
621C22×D17—21no—
622C22×D17—21no—
623C22×D17—21no—
624C22×D17—21no—
625C22×D17—21no—
626C22×D17—21no—
627C22×D17—21no—
628C22×D17—21no—
629C22×D17—21no—
630C22×D17—21no—
631C22×D17—21no—
632C22×D17—44no—
633C22×D17—44no—
634C22×D17—44no—
635C22×D17—44no—
636C22×D17—44no—
637C22×D17—44no—
638C22×D17H(5,𝔽2)12yes—
639C22×D17H(5,𝔽2)12yes—
640D4×C17—44no—
641D4×C17—44no—
642D4×C17—82no—
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—21no—
676C2×C4×C17—21no—
677C2×C4×C17—21no—
678C2×C4×C17—21no—
679C2×C4×C17—44no—
680C2×C4×C17—82no—
681C2×C4×C17—82no—
682C2×C4×C17—82no—
683C22⋊D17—44no—
684C22⋊D17—44no—
685C22⋊D17—82no—
686C22⋊D17—82no—
687C22⋊D17—82no—
688C22⋊D17—82no—
689C22⋊D17—82no—
690C22⋊D17—82no—
691C22⋊D17—82no—
692C22⋊D17—82no—
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—21no—
718C2×Dic17—21no—
719C2×Dic17—21no—
720C2×Dic17—21no—
721C2×Dic17—21no—
722C2×Dic17—21no—
723C2×Dic17—21no—
724C2×Dic17—21no—
725C2×Dic17—21no—
726C2×Dic17—21no—
727C2×Dic17—44no—
728C2×Dic17—82no—
729C2×Dic17—82no—
730C2×Dic17—82no—
731C2×Dic17C2×#4112yes—
732C2×Dic17C2×#4112yes—
733D68—82no—
734D68—82no—
735D68—82no—
736D68—82no—
737D68—82no—
738C4×D17—44no—
739C4×D17—44no—
740C4×D17—44no—
741C4×D17—44no—
742C4×D17—82no—
743C4×D17—82no—
744#2847—171no—
745#2847—171no—
746#2743—171no—
747#2743—171no—
748#2743—171no—
749#2743—171no—
750#2740—171no—
751#2740—171no—
752#2740—171no—
753#2740—171no—
754#2699—171no—
755#2699—171no—
756#2699—171no—
757#2699—171no—
758#2688—171no—
759#2688—171no—
760#2688—171no—
761#2688—171no—
762#2656—171no—
763#2646—171no—
764#2444—171no—
765#2444—171no—
766#2444—171no—
767#2444D1711yescharacteristic, complemented
768#2424—171no—
769#2424—171no—
770#2424—171no—
771#2424—171no—
772#2325—171no—
773#2325—171no—
774C2×#381—171no—
775C22×C17—22no—
776C22×C17—22no—
777C22×C17—22no—
778C22×C17—22no—
779C22×C17—22no—
780C22×C17—22no—
781C22×C17—41no—
782C22×C17—41no—
783C22×C17—41no—
784C22×C17—41no—
785C22×C17—41no—
786C22×C17—41no—
787C22×C17—41no—
788C22×C17—41no—
789C22×C17—41no—
790C22×C17—41no—
791C22×C17—41no—
792C22×C17—41no—
793C22×C17—41no—
794C22×C17—41no—
795C22×C17#54014yes—
796C22×C17C22×#4111yescharacteristic
797C22×C17C2×H(5,𝔽2)11yescharacteristic
798C22×C17C2×H(5,𝔽2)11yescharacteristic
799C22×C17C2×H(5,𝔽2)11yescharacteristic
800C22×C17C2×H(5,𝔽2)11yescharacteristic
801C22×C17#58511yescharacteristic
802C22×C17#58511yescharacteristic
803C2×D17—22no—
804C2×D17—22no—
805C2×D17—22no—
806C2×D17—22no—
807C2×D17—22no—
808C2×D17—22no—
809C2×D17—416no—
810C2×D17—41no—
811C2×D17—41no—
812C2×D17—41no—
813C2×D17—41no—
814C2×D17—41no—
815C2×D17—41no—
816C2×D17—41no—
817C2×D17—41no—
818C2×D17—41no—
819C2×D17—41no—
820C2×D17—41no—
821C2×D17—41no—
822C2×D17—41no—
823C2×D17—41no—
824C2×D17—41no—
825C2×D17—41no—
826C2×D17—41no—
827C2×D17—41no—
828C2×D17—41no—
829C2×D17—41no—
830C2×D17—41no—
831C2×D17—41no—
832C4×C17—41no—
833C4×C17—41no—
834C4×C17—41no—
835C4×C17—41no—
836C4×C17—41no—
837C4×C17—41no—
838C4×C17—41no—
839C4×C17—41no—
840C4×C17—41no—
841C4×C17—41no—
842C4×C17—41no—
843C4×C17—41no—
844Dic17—22no—
845Dic17—22no—
846Dic17—41no—
847Dic17—41no—
848Dic17—41no—
849Dic17—41no—
850Dic17—41no—
851Dic17—41no—
852Dic17—41no—
853Dic17—41no—
854Dic17—41no—
855Dic17—41no—
856C24×C4—171no—
857C2×#121—171no—
858C2×#121—171no—
859C2×#121—171no—
860C2×#121—171no—
861C2×#121—171no—
862C2×#121—171no—
863C2×#121—171no—
864C2×#121—171no—
865C2×#121—171no—
866C2×#121—171no—
867C2×#121—171no—
868C2×#121—171no—
869C2×#121—171no—
870C2×#121C2×D1711yescharacteristic
871C2×#120—171no—
872C2×#120—171no—
873C2×#120—171no—
874C2×#120—171no—
875C2×C4×D4—171no—
876C2×C4×D4—171no—
877C2×C4×D4—171no—
878C2×C4×D4C2×D1711yescharacteristic
879C22×C22⋊C4—171no—
880C22×C22⋊C4—171no—
881#400—171no—
882#400—171no—
883#400—171no—
884#400—171no—
885#400—171no—
886#400—171no—
887#400—171no—
888#400C2×D1711yescharacteristic, complemented
889#399—171no—
890#399—171no—
891#399—171no—
892#399—171no—
893#398—171no—
894#398—171no—
895#398—171no—
896#398—171no—
897#397—171no—
898#397—171no—
899#397—171no—
900#397—171no—
901#397—171no—
902#397—171no—
903#397C2×D1711yescharacteristic, complemented
904#397C2×D1711yescharacteristic, complemented
905#396—171no—
906#396—171no—
907#396—171no—
908#396—171no—
909#394—171no—
910#394—171no—
911#394—171no—
912#394—171no—
913#394—171no—
914#394—171no—
915#394—171no—
916#394—171no—
917#394—171no—
918#394—171no—
919#394—171no—
920#394C2×D1711yescharacteristic, complemented
921#392—171no—
922#392—171no—
923#392—171no—
924#392—171no—
925#392—171no—
926#392—171no—
927#392—171no—
928#392—171no—
929#390—171no—
930#390—171no—
931#390—171no—
932#390—171no—
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#388C2×D1711yescharacteristic, complemented
945#387—171no—
946#387—171no—
947#387—171no—
948#387—171no—
949#387—171no—
950#387—171no—
951#387—171no—
952#387C2×D1711yescharacteristic, complemented
953#386—171no—
954#386—171no—
955#386—171no—
956#386—171no—
957#386—171no—
958#386—171no—
959#386—171no—
960#386—171no—
961#386—171no—
962#386—171no—
963#386—171no—
964#386—171no—
965#386—171no—
966#386—171no—
967#386—171no—
968#386—171no—
969#386—171no—
970#386—171no—
971#386—171no—
972#386—171no—
973#386—171no—
974#386—171no—
975#386—171no—
976#386—171no—
977#386C2×D1711yescharacteristic
978#386C2×D1711yescharacteristic
979#386C2×D1711yescharacteristic
980#386C2×D1711yescharacteristic, complemented
981#385—171no—
982#385—171no—
983#385—171no—
984#385—171no—
985#385—171no—
986#385—171no—
987#385—171no—
988#385C2×D1711yescharacteristic
989#381—171no—
990#381—171no—
991#381—171no—
992#381—171no—
993#381—171no—
994#381—171no—
995#381—171no—
996#381—171no—
997#381—171no—
998#381—171no—
999#381—171no—
1000#381C2×D1711yescharacteristic, complemented
1001#380—171no—
1002#380—171no—
1003#380—171no—
1004#380—171no—
1005#380—171no—
1006#380—171no—
1007C2×#95—171no—
1008C2×#95—171no—
1009C2×#95—171no—
1010C2×#95C2×D1711yescharacteristic
1011C2×C17—24no—
1012C2×C17—81no—
1013C2×C17—81no—
1014C2×C17C2×#54011yescharacteristic
1015C2×C17#349011yescharacteristic
1016C2×C17#349311yescharacteristic
1017C2×C17#353411yescharacteristic
1018C2×C17#353411yescharacteristic
1019C2×C17#353411yescharacteristic
1020C2×C17#353411yescharacteristic
1021D17—42no—
1022D17—42no—
1023D17—81no—
1024D17—81no—
1025C25—171no—
1026C22×D4—171no—
1027C22×D4—171no—
1028C22×D4—171no—
1029C22×D4—171no—
1030C22×D4—171no—
1031C22×D4—171no—
1032C22×D4—171no—
1033C22×D4—171no—
1034C22×D4—171no—
1035C22×D4—171no—
1036C22×D4—171no—
1037C22×D4—171no—
1038C22×D4—171no—
1039C22×D4—171no—
1040C22×D4—171no—
1041C22×D4C22×D1711yescharacteristic
1042C22×D4C22×D1711yescharacteristic
1043C22×D4C22×D1711yescharacteristic
1044C23×C4—171no—
1045C23×C4—171no—
1046C23×C4—171no—
1047C23×C4—171no—
1048C23×C4—171no—
1049C23×C4—171no—
1050C23×C4—171no—
1051C23×C4—171no—
1052C23×C4—171no—
1053C23×C4—171no—
1054C23×C4—344no—
1055C23×C4—682no—
1056C23×C4—682no—
1057C23×C4C22×D1711yescharacteristic
1058C23×C4C22×D1711yescharacteristic
1059C23×C4C22×D1711yescharacteristic
1060C23×C4C22×D1711yescharacteristic
1061#121—42no—
1062#121—344no—
1063#121—344no—
1064#121—682no—
1065#121—682no—
1066#121—682no—
1067#121—682no—
1068#121—682no—
1069#121—682no—
1070#121—682no—
1071#121—682no—
1072#121—682no—
1073#121—682no—
1074#121—682no—
1075#120—682no—
1076#120—682no—
1077#120—682no—
1078#120—682no—
1079C4×D4—42no—
1080C4×D4—682no—
1081C4×D4—682no—
1082C4×D4—682no—
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—171no—
1092C2×C4⋊C4—171no—
1093C2×C4⋊C4—171no—
1094C2×C4⋊C4—171no—
1095C2×C4⋊C4—171no—
1096C2×C4⋊C4—171no—
1097C2×C4⋊C4—171no—
1098C2×C4⋊C4—171no—
1099C2×C4⋊C4—171no—
1100C2×C4⋊C4—171no—
1101C2×C4⋊C4C22×D1711yescharacteristic
1102C2×C4⋊C4C22×D1711yescharacteristic
1103C2×C4⋊C4C22×D1711yescharacteristic
1104C2×C4⋊C4C22×D1711yescharacteristic
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—171no—
1146C2×C22⋊C4—682no—
1147C2×C22⋊C4—682no—
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×C42C22×D1711yescharacteristic
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#95—171no—
1189#95—171no—
1190#95—171no—
1191#95—171no—
1192#95—171no—
1193#95—171no—
1194#95—171no—
1195#95C22×D1711yescharacteristic
1196#95C22×D1711yescharacteristic
1197#95C22×D1711yescharacteristic
1198#95C22×D1711yescharacteristic
1199#95C22×D1711yescharacteristic
1200#95C22×D1711yescharacteristic
1201#95C22×D1711yescharacteristic
1202#95C22×D1711yescharacteristic
1203#95C22×D1711yescharacteristic
1204#95C22×D1711yescharacteristic
1205#95C22×D1711yescharacteristic
1206#95C22×D1711yescharacteristic
1207C17#3673111yescharacteristic, complemented, Sylow
1208C24—171no—
1209C24—171no—
1210C24—171no—
1211C24—171no—
1212C24—342no—
1213C24—342no—
1214C24—342no—
1215C24—342no—
1216C24—342no—
1217C24—681no—
1218C24—681no—
1219C24C23×D1711yescharacteristic
1220C24C23×D1711yescharacteristic
1221C24C23×D1711yescharacteristic
1222C2×D4—22no—
1223C2×D4—22no—
1224C2×D4—22no—
1225C2×D4—22no—
1226C2×D4—22no—
1227C2×D4—22no—
1228C2×D4—41no—
1229C2×D4—41no—
1230C2×D4—41no—
1231C2×D4—342no—
1232C2×D4—342no—
1233C2×D4—342no—
1234C2×D4—342no—
1235C2×D4—342no—
1236C2×D4—342no—
1237C2×D4—342no—
1238C2×D4—342no—
1239C2×D4—342no—
1240C2×D4—342no—
1241C2×D4—342no—
1242C2×D4—342no—
1243C2×D4—342no—
1244C2×D4—342no—
1245C2×D4—342no—
1246C2×D4—342no—
1247C2×D4—681no—
1248C2×D4—681no—
1249C2×D4—681no—
1250C2×D4—681no—
1251C2×D4—681no—
1252C2×D4—681no—
1253C2×D4—681no—
1254C2×D4—681no—
1255C2×D4—681no—
1256C2×D4—681no—
1257C2×D4—681no—
1258C2×D4—681no—
1259C2×D4—681no—
1260C2×D4—681no—
1261C2×D4—681no—
1262C2×D4—681no—
1263C2×D4—681no—
1264C2×D4—681no—
1265C2×D4—681no—
1266C2×D4—681no—
1267C2×D4—681no—
1268C2×D4—681no—
1269C2×D4—681no—
1270C2×D4—681no—
1271C2×D4—681no—
1272C2×D4—681no—
1273C2×D4—681no—
1274C2×D4—681no—
1275C2×D4—681no—
1276C22×C4—22no—
1277C22×C4—22no—
1278C22×C4—22no—
1279C22×C4—41no—
1280C22×C4—41no—
1281C22×C4—41no—
1282C22×C4—41no—
1283C22×C4—41no—
1284C22×C4—41no—
1285C22×C4—41no—
1286C22×C4—41no—
1287C22×C4—41no—
1288C22×C4—171no—
1289C22×C4—171no—
1290C22×C4—174no—
1291C22×C4—171no—
1292C22×C4—171no—
1293C22×C4—171no—
1294C22×C4—171no—
1295C22×C4—171no—
1296C22×C4—171no—
1297C22×C4—171no—
1298C22×C4—171no—
1299C22×C4—171no—
1300C22×C4—171no—
1301C22×C4—342no—
1302C22×C4—342no—
1303C22×C4—342no—
1304C22×C4—342no—
1305C22×C4—342no—
1306C22×C4—342no—
1307C22×C4—342no—
1308C22×C4—342no—
1309C22×C4—342no—
1310C22×C4—342no—
1311C22×C4—681no—
1312C22×C4—681no—
1313C22×C4—681no—
1314C22×C4—681no—
1315C22×C4—681no—
1316C22×C4—681no—
1317C22×C4—681no—
1318C22×C4—681no—
1319C22×C4—681no—
1320C22×C4—681no—
1321C22×C4—6816no—
1322C22×C4—681no—
1323C22×C4—681no—
1324C22×C4—681no—
1325C22×C4—681no—
1326C22×C4—681no—
1327C22×C4—681no—
1328C22×C4—681no—
1329C22×C4—681no—
1330C22×C4—681no—
1331C22×C4C23×D1711yescharacteristic
1332C22×C4C23×D1711yescharacteristic
1333C22×C4C23×D1711yescharacteristic
1334C22×C4C23×D1711yescharacteristic
1335C22×C4C23×D1711yescharacteristic
1336C22×C4C23×D1711yescharacteristic
1337C22×C4C23×D1711yescharacteristic
1338C22×C4C23×D1711yescharacteristic
1339C22×C4C23×D1711yescharacteristic
1340C22×C4C23×D1711yescharacteristic
1341C22×C4C23×D1711yescharacteristic
1342C22×C4C23×D1711yescharacteristic
1343C4⋊C4—41no—
1344C4⋊C4—41no—
1345C4⋊C4—41no—
1346C4⋊C4—41no—
1347C4⋊C4—342no—
1348C4⋊C4—342no—
1349C4⋊C4—681no—
1350C4⋊C4—681no—
1351C4⋊C4—681no—
1352C4⋊C4—681no—
1353C4⋊C4—681no—
1354C4⋊C4—681no—
1355C4⋊C4—681no—
1356C4⋊C4—681no—
1357C4⋊C4—681no—
1358C4⋊C4—681no—
1359C4⋊C4—681no—
1360C4⋊C4—681no—
1361C4⋊C4—681no—
1362C4⋊C4—681no—
1363C4⋊C4—681no—
1364C4⋊C4—681no—
1365C22⋊C4—22no—
1366C22⋊C4—22no—
1367C22⋊C4—41no—
1368C22⋊C4—41no—
1369C22⋊C4—41no—
1370C22⋊C4—41no—
1371C22⋊C4—41no—
1372C22⋊C4—41no—
1373C22⋊C4—41no—
1374C22⋊C4—41no—
1375C22⋊C4—41no—
1376C22⋊C4—342no—
1377C22⋊C4—342no—
1378C22⋊C4—342no—
1379C22⋊C4—342no—
1380C22⋊C4—342no—
1381C22⋊C4—342no—
1382C22⋊C4—342no—
1383C22⋊C4—342no—
1384C22⋊C4—342no—
1385C22⋊C4—342no—
1386C22⋊C4—681no—
1387C22⋊C4—681no—
1388C22⋊C4—681no—
1389C22⋊C4—681no—
1390C22⋊C4—681no—
1391C22⋊C4—681no—
1392C22⋊C4—681no—
1393C22⋊C4—681no—
1394C22⋊C4—681no—
1395C22⋊C4—681no—
1396C22⋊C4—681no—
1397C22⋊C4—681no—
1398C22⋊C4—681no—
1399C22⋊C4—681no—
1400C22⋊C4—681no—
1401C22⋊C4—681no—
1402C22⋊C4—681no—
1403C22⋊C4—681no—
1404C22⋊C4—681no—
1405C22⋊C4—681no—
1406C22⋊C4—681no—
1407C22⋊C4—681no—
1408C22⋊C4—681no—
1409C22⋊C4—681no—
1410C22⋊C4—681no—
1411C22⋊C4—681no—
1412C22⋊C4—681no—
1413C22⋊C4—681no—
1414C22⋊C4—681no—
1415C22⋊C4—681no—
1416C22⋊C4—681no—
1417C42—41no—
1418C42—681no—
1419C42—681no—
1420C42—681no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—172no—
1440C23—172no—
1441C23—348no—
1442C23—341no—
1443C23—341no—
1444C23—341no—
1445C23—341no—
1446C23—341no—
1447C23—341no—
1448C23—341no—
1449C23—341no—
1450C23—341no—
1451C23—341no—
1452C23—341no—
1453C23—341no—
1454C23—341no—
1455C23—341no—
1456C23—341no—
1457C23—341no—
1458C23—341no—
1459C23—341no—
1460C23—341no—
1461C23—341no—
1462C23—341no—
1463C23—341no—
1464C23—341no—
1465C23—341no—
1466C23—341no—
1467C23—341no—
1468C23—684no—
1469C23—684no—
1470C23—684no—
1471C23—684no—
1472C23—684no—
1473C23—684no—
1474C23#1058769112yes—
1475C23#41×D1712yes—
1476C23#1058769612yes—
1477C23C24×D1711yescharacteristic
1478D4—44no—
1479D4—44no—
1480D4—82no—
1481D4—684no—
1482D4—684no—
1483D4—1362no—
1484D4—1362no—
1485D4—1362no—
1486D4—1362no—
1487D4—1362no—
1488D4—1362no—
1489D4—1362no—
1490D4—1362no—
1491D4—1362no—
1492D4—1362no—
1493D4—1362no—
1494D4—1362no—
1495D4—1362no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—44no—
1533C2×C4—82no—
1534C2×C4—82no—
1535C2×C4—82no—
1536C2×C4—172no—
1537C2×C4—172no—
1538C2×C4—341no—
1539C2×C4—341no—
1540C2×C4—341no—
1541C2×C4—341no—
1542C2×C4—341no—
1543C2×C4—341no—
1544C2×C4—341no—
1545C2×C4—341no—
1546C2×C4—341no—
1547C2×C4—341no—
1548C2×C4—341no—
1549C2×C4—341no—
1550C2×C4—341no—
1551C2×C4—341no—
1552C2×C4—341no—
1553C2×C4—341no—
1554C2×C4—341no—
1555C2×C4—341no—
1556C2×C4—341no—
1557C2×C4—341no—
1558C2×C4—341no—
1559C2×C4—341no—
1560C2×C4—341no—
1561C2×C4—341no—
1562C2×C4—341no—
1563C2×C4—341no—
1564C2×C4—341no—
1565C2×C4—341no—
1566C2×C4—341no—
1567C2×C4—341no—
1568C2×C4—341no—
1569C2×C4—341no—
1570C2×C4—341no—
1571C2×C4—341no—
1572C2×C4—684no—
1573C2×C4—684no—
1574C2×C4—684no—
1575C2×C4—684no—
1576C2×C4—684no—
1577C2×C4—1362no—
1578C2×C4—1362no—
1579C2×C4—1362no—
1580C2×C4—1362no—
1581C2×C4—1362no—
1582C22—22no—
1583C22—22no—
1584C22—22no—
1585C22—22no—
1586C22—22no—
1587C22—22no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—342no—
1603C22—342no—
1604C22—342no—
1605C22—342no—
1606C22—342no—
1607C22—342no—
1608C22—6816no—
1609C22—681no—
1610C22—681no—
1611C22—681no—
1612C22—681no—
1613C22—681no—
1614C22—681no—
1615C22—681no—
1616C22—681no—
1617C22—681no—
1618C22—681no—
1619C22—681no—
1620C22—681no—
1621C22—681no—
1622C22—681no—
1623C22—681no—
1624C22—681no—
1625C22—681no—
1626C22—681no—
1627C22—681no—
1628C22—681no—
1629C22—681no—
1630C22—681no—
1631C22#1176341114yes—
1632C22C2×#41×D1711yescharacteristic
1633C22H(5,𝔽2)×D1711yescharacteristic
1634C22H(5,𝔽2)×D1711yescharacteristic
1635C22C2×#1058769111yescharacteristic
1636C22C2×#1058769611yescharacteristic
1637C22#1176364511yescharacteristic
1638C22#1176364511yescharacteristic
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—342no—
1652C4—342no—
1653C4—681no—
1654C4—681no—
1655C4—681no—
1656C4—681no—
1657C4—681no—
1658C4—681no—
1659C4—681no—
1660C4—681no—
1661C4—681no—
1662C4—681no—
1663C2—24no—
1664C2—81no—
1665C2—81no—
1666C2—682no—
1667C2—682no—
1668C2—1361no—
1669C2—1361no—
1670C2C2×#1176341111yescharacteristic
1671C2#1454247011yescharacteristic
1672C2#1454249611yescharacteristic
1673C2#1454296111yescharacteristic
1674C2#1454296111yescharacteristic
1675C2#1454296911yescharacteristic
1676C2#1454296911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D17
commutator, socle, cosocleC23×C17C25
FittingC17×#2444C2
hypercenter#2444D17
hypocenterC17#36731
LCSG ▷ C23×C17 ▷ C17
UCSC1 ◁ C23 ◁ #2444

Complements

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

NH ≅ G/Ntype
1. #14537065C2semidirect
2. #14537065C2semidirect
3. #14535928C2semidirect
4. #14535924C2semidirect
5. #14535920C2semidirect
6. #14535916C2semidirect
7. #14535889C2semidirect
8. #14535885C2semidirect
9. #14535881C2semidirect
10. #14535877C2semidirect
11. #14535372C2semidirect
12. #14535371C2semidirect
13. #14535368C2semidirect
14. #14535366C2semidirect
15. #14535225C2semidirect
16. #14535221C2semidirect
17. #14535217C2semidirect
18. #14535213C2semidirect
19. #14534888C2semidirect
20. #14534756C2semidirect
21. #14532540C2semidirect
22. #14532534C2semidirect
23. #14532532C2semidirect
24. #14532326C2semidirect
25. #14532322C2semidirect
26. #14532318C2semidirect
27. #14532314C2semidirect
28. #14531485C2semidirect
29. #14531482C2semidirect
30. C2×#11762671C2semidirect
31. C17×#2444C2semidirect
55. #11762751C22semidirect
56. #11762750C22semidirect
57. #11762750C22semidirect
58. #11762750C22semidirect
59. #11762749C22semidirect
60. #11762749C22semidirect
61. #11762747C22semidirect
62. #11762745C22semidirect
63. #11762745C22semidirect
64. #11762744C22semidirect
65. #11762744C22semidirect
66. #11762743C22semidirect
67. #11762742C22semidirect
68. #11762740C22semidirect
69. #11762739C22semidirect
70. #11762738C22semidirect
71. #11762738C22semidirect
72. #11762738C22semidirect
73. #11762737C22semidirect
74. #11762736C22semidirect
75. #11762734C22semidirect
82. #11762727C22semidirect
87. #11762725C22semidirect
90. #11762724C22semidirect
94. #11762718C22semidirect
95. #11762718C22semidirect
97. #11762717C22semidirect
98. #11762717C22semidirect
103. #11762703C22semidirect
104. #11762703C22semidirect
106. #11762701C22semidirect
108. #11762700C22semidirect
111. #11762698C22semidirect
112. #11762698C22semidirect
113. #11762697C22semidirect
114. #11762696C22semidirect
115. #11762696C22semidirect
116. #11762694C22semidirect
117. #11762693C22semidirect
118. #11762691C22semidirect
119. #11762691C22semidirect
120. #11762690C22semidirect
126. #11762688C22semidirect
133. #11762687C22semidirect
136. #11762686C22semidirect
137. #11762686C22semidirect
142. #11762685C22semidirect
143. #11762685C22semidirect
144. #11762685C22semidirect
146. #11762683C22semidirect
148. #11762682C22semidirect
150. #11762681C22semidirect
151. #11762680C22semidirect
160. #11762671C22semidirect
161. #11762671C22semidirect
162. #11762670C22semidirect
174. C17×#400C22semidirect
175. C17×#397C22semidirect
176. C17×#397C22semidirect
177. C17×#394C22semidirect
178. C17×#388C22semidirect
179. C17×#387C22semidirect
183. C17×#386C22semidirect
185. C17×#381C22semidirect
767. #2444D17semidirect
888. #400C2×D17semidirect
903. #397C2×D17semidirect
904. #397C2×D17semidirect
920. #394C2×D17semidirect
944. #388C2×D17semidirect
952. #387C2×D17semidirect
980. #386C2×D17semidirect
1000. #381C2×D17semidirect
1207. C17#36731semidirect

Maximal subgroups

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

subgroupindex
#145370652
#145359282
#145359242
#145359202
#145359162
#145358892
#145358852
#145358812
#145358772
#145353722
#145353712
#145353682
#145353662
#145352252
#145352212
#145352172
#145352132
#145348882
#145347562
#145325402
#145325342
#145325322
#145323262
#145323222
#145323182
#145323142
#145314852
#145314822
C2×#117626712
C17×#24442
#3673117