Finite Group Databasebeta

← #17243110

Subgroups — #17243110

Order 4352.

2142 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
1#14537074C211yesmaximal, characteristic, complemented
2#14537064C211yesmaximal, characteristic, complemented
3#14536727C211yesmaximal, characteristic, complemented
4#14536635C211yesmaximal, characteristic, complemented
5#14536523C211yesmaximal, characteristic, complemented
6#14536485C211yesmaximal, characteristic, complemented
7#14536439C211yesmaximal, characteristic, complemented
8#14536395C211yesmaximal, characteristic, complemented
9#14536039C211yesmaximal, characteristic, complemented
10#14536020C211yesmaximal, characteristic, complemented
11#14535951C211yesmaximal, characteristic, complemented
12#14535573C211yesmaximal, characteristic, complemented
13#14535532C211yesmaximal, characteristic, complemented
14#14535502C211yesmaximal, characteristic, complemented
15#14535496C211yesmaximal, characteristic, complemented
16#14535318C211yesmaximal, characteristic, complemented
17#14535196C211yesmaximal, characteristic, complemented
18#14535145C211yesmaximal, characteristic, complemented
19#14534740C211yesmaximal, characteristic, complemented
20#14534717C211yesmaximal, characteristic, complemented
21#14533047C211yesmaximal, characteristic, complemented
22#14532904C211yesmaximal, characteristic, complemented
23#14532513C211yesmaximal, characteristic, complemented
24#14532464C211yesmaximal, characteristic, complemented
25#14532390C211yesmaximal, characteristic, complemented
26#14532165C211yesmaximal, characteristic, complemented
27#14532100C211yesmaximal, characteristic, complemented
28#14531449C211yesmaximal, characteristic, complemented
29#14531371C211yesmaximal, characteristic, complemented
30C2×#11762681C211yesmaximal, characteristic, complemented
31C17×#2424C211yesmaximal, characteristic, complemented
32C22×#63254C2211yescharacteristic
33C24×Dic17C2211yescharacteristic
34C2×#10587565C2211yescharacteristic, complemented
35C2×#10587571C2211yescharacteristic
36C2×#10587615C2211yescharacteristic, complemented
37C2×#10587621C2211yescharacteristic
38C2×#10587621C2211yescharacteristic
39C2×#10587621C2211yescharacteristic
40C2×#10587610C2211yescharacteristic
41C2×#10587625C2211yescharacteristic
42C2×#10587625C2211yescharacteristic
43C2×#10587625C2211yescharacteristic
44C2×#10587639C2211yescharacteristic
45C2×#10587563C2211yescharacteristic
46C22×#63225C2211yescharacteristic
47C22×#63225C2211yescharacteristic
48C22×C22⋊Dic17C2211yescharacteristic
49C17⋊#401C2211yescharacteristic, complemented
50#11762751C2211yescharacteristic, complemented
51#11762751C2211yescharacteristic, complemented
52#11762750C2211yescharacteristic, complemented
53#11762750C2211yescharacteristic, complemented
54#11762748C2211yescharacteristic, complemented
55#11762747C2211yescharacteristic, complemented
56#11762747C2211yescharacteristic, complemented
57#11762747C2211yescharacteristic, complemented
58#11762744C2211yescharacteristic, complemented
59#11762743C2211yescharacteristic, complemented
60#11762740C2211yescharacteristic, complemented
61#11762740C2211yescharacteristic, complemented
62#11762738C2211yescharacteristic, complemented
63#11762737C2211yescharacteristic
64#11762737C2211yescharacteristic, complemented
65#11762737C2211yescharacteristic, complemented
66#11762736C2211yescharacteristic, complemented
67#11762735C2211yescharacteristic, complemented
68#11762734C2211yescharacteristic, complemented
69#11762734C2211yescharacteristic, complemented
70#11762732C2211yescharacteristic
71#11762732C2211yescharacteristic
72#11762732C2211yescharacteristic, complemented
73#11762731C2211yescharacteristic, complemented
74#11762729C2211yescharacteristic, complemented
75#11762729C2211yescharacteristic, complemented
76#11762725C2211yescharacteristic
77#11762724C2211yescharacteristic
78#11762724C2211yescharacteristic, complemented
79#11762724C2211yescharacteristic, complemented
80#11762723C2211yescharacteristic
81#11762723C2211yescharacteristic
82#11762723C2211yescharacteristic, complemented
83#11762723C2211yescharacteristic, complemented
84#11762721C2211yescharacteristic
85#11762721C2211yescharacteristic
86#11762721C2211yescharacteristic
87#11762721C2211yescharacteristic, complemented
88#11762721C2211yescharacteristic, complemented
89#11762721C2211yescharacteristic, complemented
90#11762717C2211yescharacteristic
91#11762717C2211yescharacteristic
92#11762717C2211yescharacteristic, complemented
93#11762713C2211yescharacteristic, complemented
94#11762713C2211yescharacteristic, complemented
95#11762713C2211yescharacteristic, complemented
96#11762712C2211yescharacteristic
97#11762712C2211yescharacteristic
98#11762709C2211yescharacteristic
99#11762709C2211yescharacteristic, complemented
100#11762709C2211yescharacteristic, complemented
101#11762704C2211yescharacteristic, complemented
102#11762704C2211yescharacteristic, complemented
103#11762704C2211yescharacteristic, complemented
104#11762703C2211yescharacteristic, complemented
105#11762703C2211yescharacteristic, complemented
106#11762703C2211yescharacteristic, complemented
107#11762702C2211yescharacteristic
108#11762700C2211yescharacteristic, complemented
109#11762697C2211yescharacteristic
110#11762697C2211yescharacteristic
111#11762697C2211yescharacteristic
112#11762695C2211yescharacteristic, complemented
113#11762694C2211yescharacteristic, complemented
114#11762693C2211yescharacteristic, complemented
115#11762693C2211yescharacteristic, complemented
116#11762693C2211yescharacteristic, complemented
117#11762691C2211yescharacteristic, complemented
118#11762691C2211yescharacteristic, complemented
119#11762689C2211yescharacteristic
120#11762689C2211yescharacteristic
121#11762689C2211yescharacteristic
122#11762689C2211yescharacteristic
123#11762689C2211yescharacteristic
124#11762689C2211yescharacteristic
125#11762689C2211yescharacteristic
126#11762689C2211yescharacteristic
127#11762689C2211yescharacteristic
128#11762689C2211yescharacteristic
129#11762689C2211yescharacteristic
130#11762689C2211yescharacteristic, complemented
131#11762688C2211yescharacteristic
132#11762688C2211yescharacteristic
133#11762686C2211yescharacteristic
134#11762686C2211yescharacteristic
135#11762686C2211yescharacteristic
136#11762686C2211yescharacteristic
137#11762685C2211yescharacteristic
138#11762685C2211yescharacteristic
139#11762685C2211yescharacteristic, complemented
140#11762684C2211yescharacteristic
141#11762682C2211yescharacteristic, complemented
142#11762682C2211yescharacteristic, complemented
143#11762682C2211yescharacteristic, complemented
144#11762681C2211yescharacteristic
145#11762681C2211yescharacteristic
146#11762681C2211yescharacteristic
147#11762681C2211yescharacteristic
148#11762681C2211yescharacteristic
149#11762681C2211yescharacteristic
150#11762681C2211yescharacteristic
151#11762681C2211yescharacteristic
152#11762681C2211yescharacteristic
153#11762681C2211yescharacteristic
154#11762681C2211yescharacteristic
155#11762681C2211yescharacteristic
156#11762681C2211yescharacteristic, complemented
157#11762680C2211yescharacteristic, complemented
158#11762670C2211yescharacteristic
159#11762670C2211yescharacteristic
160#11762670C2211yescharacteristic
161#11762668C2211yescharacteristic, complemented
162#11762668C2211yescharacteristic, complemented
163#11762667C2211yescharacteristic
164#11762667C2211yescharacteristic
165#11762667C2211yescharacteristic
166#11762667C2211yescharacteristic, complemented
167#11762667C2211yescharacteristic, complemented
168#11762665C2211yescharacteristic
169C4×C22⋊Dic17C2211yescharacteristic
170C2×#10587502C2211yescharacteristic
171C2×#10587502C2211yescharacteristic
172C2×C17×#121C2211yescharacteristic
173C2×C17×#121C2211yescharacteristic
174C2×C17×#120C2211yescharacteristic
175C2×C17×#120C2211yescharacteristic
176C2×C4×D4×C17C2211yescharacteristic
177C22×C22⋊C4×C17C2211yescharacteristic
178C17×#396C2211yescharacteristic
179C17×#394C2211yescharacteristic
180C17×#394C2211yescharacteristic
181C17×#392C2211yescharacteristic
182C17×#390C2211yescharacteristic
183C17×#388C2211yescharacteristic
184C17×#386C2211yescharacteristic
185C17×#386C2211yescharacteristic
186C17×#385C2211yescharacteristic
187C25×C17C2311yescharacteristic
188C22×D4×C17C2311yescharacteristic
189C22×D4×C17C2311yescharacteristic
190C22×D4×C17C2311yescharacteristic
191C22×D4×C17C2311yescharacteristic
192C22×D4×C17C2311yescharacteristic
193C22×D4×C17C2311yescharacteristic
194C22×D4×C17C2311yescharacteristic
195C23×C4×C17C2311yescharacteristic
196C23×C4×C17C2311yescharacteristic
197C23×C4×C17C2311yescharacteristic
198C22×C22⋊D17C2311yescharacteristic
199C22×C22⋊D17C2311yescharacteristic
200C22×C22⋊D17C2311yescharacteristic
201C22×C22⋊D17C2311yescharacteristic
202C22×C22⋊D17C2311yescharacteristic
203C23×Dic17—42no—
204C23×Dic17—42no—
205C23×Dic17—42no—
206C23×Dic17C2311yescharacteristic
207C23×Dic17C2311yescharacteristic
208C23×Dic17C2311yescharacteristic
209C23×Dic17C2311yescharacteristic
210C23×Dic17C2311yescharacteristic
211C23×Dic17C2311yescharacteristic
212C23×Dic17C2311yescharacteristic
213C23×Dic17C2311yescharacteristic
214C23×Dic17C2311yescharacteristic
215C2×#63254—24no—
216C2×#63254—42no—
217C2×#63254—42no—
218C22×C4×D17C2311yescharacteristic
219C22×Dic34C2311yescharacteristic
220C22×Dic34C2311yescharacteristic
221C17×#121—42no—
222C17×#121—42no—
223C17×#120—42no—
224C17×#120—42no—
225C4×D4×C17—42no—
226C2×C4⋊C4×C17C2311yescharacteristic
227C2×C4⋊C4×C17C2311yescharacteristic
228C2×C4⋊C4×C17C2311yescharacteristic
229C2×C4⋊C4×C17C2311yescharacteristic
230C2×C22⋊C4×C17—42no—
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×C22⋊C4×C17C2311yescharacteristic
241C2×C22⋊C4×C17C2311yescharacteristic
242C2×C22⋊C4×C17C2311yescharacteristic
243C2×C22⋊C4×C17C2311yescharacteristic
244C2×C22⋊C4×C17C2311yescharacteristic
245C2×C22⋊C4×C17C2311yescharacteristic
246C2×C42×C17C2311yescharacteristic
247#10587639—42no—
248C2×C22⋊Dic17—24no—
249C2×C22⋊Dic17C2311yescharacteristic
250C2×C22⋊Dic17C2311yescharacteristic
251C2×C22⋊Dic17C2311yescharacteristic
252C2×C22⋊Dic17C2311yescharacteristic
253C2×C22⋊Dic17C2311yescharacteristic
254C2×C22⋊Dic17C2311yescharacteristic
255C2×C22⋊Dic17C2311yescharacteristic
256C2×C22⋊Dic17C2311yescharacteristic
257C2×C22⋊Dic17C2311yescharacteristic
258C2×C22⋊Dic17C2311yescharacteristic
259C2×C22⋊Dic17C2311yescharacteristic
260C2×C22⋊Dic17C2311yescharacteristic
261C2×C22⋊Dic17C2311yescharacteristic
262C2×C22⋊Dic17C2311yescharacteristic
263C2×C22⋊Dic17C2311yescharacteristic
264C2×C22⋊Dic17C2311yescharacteristic
265C2×C22⋊Dic17C2311yescharacteristic
266C2×C22⋊Dic17C2311yescharacteristic
267C2×C22⋊Dic17C2311yescharacteristic
268C2×C22⋊Dic17C2311yescharacteristic
269C2×C22⋊Dic17C2311yescharacteristic
270C2×C22⋊Dic17C2311yescharacteristic
271C2×C22⋊Dic17C2311yescharacteristic
272C2×C22⋊Dic17C2311yescharacteristic
273C2×C22⋊Dic17C2311yescharacteristic
274C2×C22⋊Dic17C2311yescharacteristic
275#10587625—42no—
276#10587625—42no—
277#10587625—42no—
278#10587621—24no—
279#10587621—42no—
280#10587621—42no—
281#10587615—42no—
282C2×#63227C2311yescharacteristic
283C2×#63227C2311yescharacteristic
284C2×#63227C2311yescharacteristic
285C2×#63227C2311yescharacteristic
286C2×#63227C2311yescharacteristic
287C2×#63227C2311yescharacteristic
288C2×#63227C2311yescharacteristic
289C2×#63227C2311yescharacteristic
290C2×#63227C2311yescharacteristic
291C2×C4⋊Dic17C2311yescharacteristic
292C2×C4⋊Dic17C2311yescharacteristic
293C2×C4⋊Dic17C2311yescharacteristic
294#10587610—42no—
295C2×#63225—42no—
296C2×#63225—42no—
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×#63225C2311yescharacteristic
312C2×#63225C2311yescharacteristic
313C2×#63225C2311yescharacteristic
314C2×#63225C2311yescharacteristic
315C2×#63225C2311yescharacteristic
316C2×#63225C2311yescharacteristic
317C2×#63225C2311yescharacteristic
318C2×C4×Dic17C2311yescharacteristic
319C2×C4×Dic17C2311yescharacteristic
320C2×C4×Dic17C2311yescharacteristic
321C2×C4×Dic17C2311yescharacteristic
322#10587571—42no—
323#10587565—42no—
324#10587563—42no—
325C17×#95C2311yescharacteristic
326C17×#95C2311yescharacteristic
327C17×#95C2311yescharacteristic
328C17×#95C2311yescharacteristic
329#10587502C2311yescharacteristic
330#10587502C2311yescharacteristic
331#10587502C2311yescharacteristic
332#10587502C2311yescharacteristic
333#10587502C2311yescharacteristic
334#10587502C2311yescharacteristic
335#10587502C2311yescharacteristic
336#10587502C2311yescharacteristic
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×C17—22no—
370C24×C17—22no—
371C24×C17—22no—
372C24×C17—22no—
373C24×C17—22no—
374C24×C17—41no—
375C24×C17—41no—
376C24×C17C2411yescharacteristic
377C24×C17C2411yescharacteristic
378C24×C17C2411yescharacteristic
379C24×C17C2411yescharacteristic
380C24×C17C2411yescharacteristic
381C23×D17C2411yescharacteristic
382C2×D4×C17—22no—
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—22no—
390C2×D4×C17—22no—
391C2×D4×C17—22no—
392C2×D4×C17—41no—
393C2×D4×C17—41no—
394C2×D4×C17—41no—
395C2×D4×C17—41no—
396C2×D4×C17—41no—
397C2×D4×C17—41no—
398C2×D4×C17—41no—
399C2×D4×C17—41no—
400C2×D4×C17—41no—
401C2×D4×C17—41no—
402C2×D4×C17—41no—
403C22×C4×C17—22no—
404C22×C4×C17—22no—
405C22×C4×C17—41no—
406C22×C4×C17—41no—
407C22×C4×C17—41no—
408C22×C4×C17—41no—
409C22×C4×C17—41no—
410C22×C4×C17—41no—
411C22×C4×C17—41no—
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
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—22no—
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—
437C22×Dic17—22no—
438C22×Dic17—22no—
439C22×Dic17—22no—
440C22×Dic17—22no—
441C22×Dic17—22no—
442C22×Dic17—22no—
443C22×Dic17—22no—
444C22×Dic17—22no—
445C22×Dic17—22no—
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—41no—
458C22×Dic17—41no—
459C22×Dic17—41no—
460C22×Dic17—41no—
461C22×Dic17—41no—
462C22×Dic17—41no—
463C22×Dic17—416no—
464C22×Dic17#4114yes—
465C22×Dic17C2411yescharacteristic
466C22×Dic17C2411yescharacteristic
467C22×Dic17C2411yescharacteristic
468C22×Dic17C2411yescharacteristic
469C22×Dic17C2411yescharacteristic
470C22×Dic17C2411yescharacteristic
471C22×Dic17C2411yescharacteristic
472C22×Dic17C2411yescharacteristic
473C22×Dic17C2411yescharacteristic
474C22×Dic17C2411yescharacteristic
475C22×Dic17C2411yescharacteristic
476C22×Dic17C2411yescharacteristic
477C22×Dic17C2411yescharacteristic
478C22×Dic17C2411yescharacteristic
479C22×Dic17C2411yescharacteristic
480#63254—416no—
481C2×C4×D17—22no—
482C2×C4×D17—41no—
483C2×C4×D17—41no—
484C2×Dic34—22no—
485C2×Dic34—41no—
486C2×Dic34—41no—
487C2×Dic34—41no—
488C2×Dic34—41no—
489C2×Dic34—41no—
490C4⋊C4×C17—41no—
491C4⋊C4×C17—41no—
492C4⋊C4×C17—41no—
493C4⋊C4×C17—41no—
494C22⋊C4×C17—22no—
495C22⋊C4×C17—22no—
496C22⋊C4×C17—22no—
497C22⋊C4×C17—22no—
498C22⋊C4×C17—41no—
499C22⋊C4×C17—41no—
500C22⋊C4×C17—41no—
501C22⋊C4×C17—41no—
502C22⋊C4×C17—41no—
503C22⋊C4×C17—41no—
504C22⋊C4×C17—41no—
505C22⋊C4×C17—41no—
506C22⋊C4×C17—41no—
507C22⋊C4×C17—41no—
508C22⋊C4×C17—41no—
509C42×C17—41no—
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—22no—
519C22⋊Dic17—22no—
520C22⋊Dic17—22no—
521C22⋊Dic17—22no—
522C22⋊Dic17—41no—
523C22⋊Dic17—41no—
524C22⋊Dic17—41no—
525C22⋊Dic17—41no—
526C22⋊Dic17—41no—
527C22⋊Dic17—41no—
528C22⋊Dic17—41no—
529C22⋊Dic17—41no—
530C22⋊Dic17—41no—
531C22⋊Dic17—41no—
532C22⋊Dic17—41no—
533C22⋊Dic17—41no—
534C22⋊Dic17—41no—
535C22⋊Dic17—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—
545C4⋊Dic17—41no—
546C4⋊Dic17—41no—
547C4⋊Dic17—41no—
548#63225—22no—
549#63225—22no—
550#63225—22no—
551#63225—22no—
552#63225—22no—
553#63225—22no—
554#63225—41no—
555#63225—41no—
556#63225—41no—
557#63225—41no—
558#63225—41no—
559#63225—41no—
560#63225—41no—
561#63225—41no—
562#63225—41no—
563#63225—41no—
564#63225—41no—
565#63225—41no—
566#63225—41no—
567#63225—41no—
568#63225—41no—
569C4×Dic17—41no—
570C4×Dic17—41no—
571C4×Dic17—41no—
572C4×Dic17—41no—
573#36791—171nomaximal, Sylow
574C23×C17—21no—
575C23×C17—21no—
576C23×C17—21no—
577C23×C17—21no—
578C23×C17—28no—
579C23×C17—21no—
580C23×C17—21no—
581C23×C17—21no—
582C23×C17—21no—
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×C17—21no—
602C23×C17—21no—
603C23×C17—21no—
604C23×C17—21no—
605C23×C17—44no—
606C23×C17—44no—
607C23×C17—44no—
608C23×C17—44no—
609C23×C17—44no—
610C23×C17—44no—
611C23×C17C2×#4112yes—
612C23×C17H(5,𝔽2)12yes—
613C23×C17H(5,𝔽2)12yes—
614C23×C17H(5,𝔽2)12yes—
615C23×C172−1+412yes—
616C23×C17C2511yescharacteristic
617C22×D17—21no—
618C22×D17—21no—
619C22×D17—21no—
620C22×D17—21no—
621C22×D17—21no—
622C22×D17—21no—
623C22×D17—21no—
624D4×C17—44no—
625D4×C17—44no—
626D4×C17—82no—
627D4×C17—82no—
628D4×C17—82no—
629D4×C17—82no—
630D4×C17—82no—
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—21no—
642C2×C4×C17—21no—
643C2×C4×C17—21no—
644C2×C4×C17—21no—
645C2×C4×C17—21no—
646C2×C4×C17—21no—
647C2×C4×C17—21no—
648C2×C4×C17—21no—
649C2×C4×C17—21no—
650C2×C4×C17—21no—
651C2×C4×C17—21no—
652C2×C4×C17—21no—
653C2×C4×C17—21no—
654C2×C4×C17—21no—
655C2×C4×C17—21no—
656C2×C4×C17—21no—
657C2×C4×C17—21no—
658C2×C4×C17—21no—
659C2×C4×C17—21no—
660C2×C4×C17—21no—
661C2×C4×C17—82no—
662C2×C4×C17—82no—
663C2×C4×C17—82no—
664C22⋊D17—44no—
665C22⋊D17—44no—
666C22⋊D17—82no—
667C22⋊D17—82no—
668C22⋊D17—82no—
669C2×Dic17—28no—
670C2×Dic17—21no—
671C2×Dic17—21no—
672C2×Dic17—21no—
673C2×Dic17—21no—
674C2×Dic17—21no—
675C2×Dic17—21no—
676C2×Dic17—21no—
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×Dic17—21no—
711C2×Dic17—21no—
712C2×Dic17—44no—
713C2×Dic17—44no—
714C2×Dic17—44no—
715C2×Dic17—44no—
716C2×Dic17—44no—
717C2×Dic17—44no—
718C2×Dic17—44no—
719C2×Dic17—44no—
720C2×Dic17C2×#4112yes—
721C2×Dic17C2×#4112yes—
722C2×Dic17H(5,𝔽2)12yes—
723C4×D17—44no—
724Dic34—44no—
725Dic34—82no—
726#2849—171no—
727#2847—171no—
728#2804—171no—
729#2797—171no—
730#2788—171no—
731#2784—171no—
732#2780—171no—
733#2778—171no—
734#2751—171no—
735#2750—171no—
736#2745—171no—
737#2714—171no—
738#2710—171no—
739#2708—171no—
740#2708—171no—
741#2695—171no—
742#2686—171no—
743#2682—171no—
744#2643—171no—
745#2639—171no—
746#2481—171no—
747#2472—171no—
748#2443—171no—
749#2438—171no—
750#2430—171no—
751#2424D1711yescharacteristic, complemented
752#2411—171no—
753#2404—171no—
754#2322—171no—
755#2311—171no—
756C2×#385—171no—
757C22×C17—22no—
758C22×C17—22no—
759C22×C17—22no—
760C22×C17—22no—
761C22×C17—22no—
762C22×C17—22no—
763C22×C17—22no—
764C22×C17—22no—
765C22×C17—22no—
766C22×C17—22no—
767C22×C17—22no—
768C22×C17—22no—
769C22×C17—416no—
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×C17—41no—
779C22×C17—41no—
780C22×C17—41no—
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#53814yes—
793C22×C17C22×#4111yescharacteristic
794C22×C17C2×H(5,𝔽2)11yescharacteristic
795C22×C17C2×H(5,𝔽2)11yescharacteristic
796C22×C17C2×H(5,𝔽2)11yescharacteristic
797C22×C17C2×H(5,𝔽2)11yescharacteristic
798C22×C17C2×2−1+411yescharacteristic
799C22×C17#58511yescharacteristic
800C2×D17—41no—
801C2×D17—41no—
802C2×D17—41no—
803C2×D17—41no—
804C2×D17—41no—
805C2×D17—41no—
806C2×D17—41no—
807C4×C17—41no—
808C4×C17—41no—
809C4×C17—41no—
810C4×C17—41no—
811C4×C17—41no—
812C4×C17—41no—
813C4×C17—41no—
814C4×C17—41no—
815C4×C17—41no—
816C4×C17—41no—
817Dic17—22no—
818Dic17—22no—
819Dic17—22no—
820Dic17—41no—
821Dic17—41no—
822Dic17—41no—
823Dic17—41no—
824Dic17—41no—
825Dic17—41no—
826Dic17—41no—
827Dic17—41no—
828Dic17—41no—
829Dic17—41no—
830Dic17—41no—
831Dic17—41no—
832C22×#41—171no—
833C24×C4—171no—
834C2×#126—171no—
835C2×#124—171no—
836C2×#123—171no—
837C2×#123—171no—
838C2×#123—171no—
839C2×#123—171no—
840C2×C22⋊Q8—171no—
841C2×#121—171no—
842C2×#121—171no—
843C2×#121—171no—
844C2×#121C2×D1711yescharacteristic
845C2×#121C2×D1711yescharacteristic
846C2×#120—171no—
847C2×#120C2×D1711yescharacteristic
848C2×#120C2×D1711yescharacteristic
849C2×C4×D4C2×D1711yescharacteristic
850C2×#117—171no—
851C22×C4⋊C4—171no—
852C22×C4⋊C4—171no—
853C22×C22⋊C4—171no—
854C22×C22⋊C4C2×D1711yescharacteristic
855#401—171no—
856#400—171no—
857#400—171no—
858#400—171no—
859#400—171no—
860#400—171no—
861#400—171no—
862#400—171no—
863#400—171no—
864#399—171no—
865#398—171no—
866#398—171no—
867#398—171no—
868#397—171no—
869#397—171no—
870#397—171no—
871#397—171no—
872#397—171no—
873#397—171no—
874#397—171no—
875#397—171no—
876#396—171no—
877#396—171no—
878#396—171no—
879#396—171no—
880#396C2×D1711yescharacteristic
881#395—171no—
882#395—171no—
883#394—171no—
884#394—171no—
885#394—171no—
886#394—171no—
887#394—171no—
888#394—171no—
889#394—171no—
890#394—171no—
891#394C2×D1711yescharacteristic
892#394C2×D1711yescharacteristic
893#393—171no—
894#393—171no—
895#393—171no—
896#393—171no—
897#393—171no—
898#393—171no—
899#392—171no—
900#392—171no—
901#392—171no—
902#392C2×D1711yescharacteristic
903#391—171no—
904#391—171no—
905#391—171no—
906#390—171no—
907#390—171no—
908#390—171no—
909#390—171no—
910#390—171no—
911#390C2×D1711yescharacteristic
912#389—171no—
913#389—171no—
914#389—171no—
915#388—171no—
916#388—171no—
917#388—171no—
918#388—171no—
919#388—171no—
920#388—171no—
921#388—171no—
922#388—171no—
923#388C2×D1711yescharacteristic
924#387—171no—
925#387—171no—
926#387—171no—
927#387—171no—
928#387—171no—
929#387—171no—
930#387—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#386—171no—
943#386—171no—
944#386—171no—
945#386—171no—
946#386—171no—
947#386—171no—
948#386—171no—
949#386—171no—
950#386—171no—
951#386—171no—
952#386C2×D1711yescharacteristic
953#386C2×D1711yescharacteristic
954#385—171no—
955#385—171no—
956#385—171no—
957#385—171no—
958#385—171no—
959#385—171no—
960#385—171no—
961#385—171no—
962#385—171no—
963#385—171no—
964#385—171no—
965#385—171no—
966#385—171no—
967#385—171no—
968#385—171no—
969#385—171no—
970#385—171no—
971#385—171no—
972#385C2×D1711yescharacteristic
973#381—171no—
974#381—171no—
975#381—171no—
976#380—171no—
977#380—171no—
978#380—171no—
979#380—171no—
980#380—171no—
981#380—171no—
982#380—171no—
983#379—171no—
984C4×C22⋊C4—171no—
985C2×#95—171no—
986C2×#95—171no—
987C2×C17—24no—
988C2×C17—42no—
989C2×C17—42no—
990C2×C17—81no—
991C2×C17—81no—
992C2×C17C2×#53811yescharacteristic
993C2×C17#349211yescharacteristic
994C2×C17#350611yescharacteristic
995C2×C17#353211yescharacteristic
996C2×C17#353411yescharacteristic
997C2×C17#353511yescharacteristic
998C2×C17#353611yescharacteristic
999D17—81no—
1000C25C22×D1711yescharacteristic
1001C2×#41—344no—
1002C2×#41—682no—
1003C2×#41—682no—
1004C22×Q8—171no—
1005C22×Q8—171no—
1006C22×D4—171no—
1007C22×D4—171no—
1008C22×D4—171no—
1009C22×D4—171no—
1010C22×D4—171no—
1011C22×D4C22×D1711yescharacteristic
1012C22×D4C22×D1711yescharacteristic
1013C22×D4C22×D1711yescharacteristic
1014C22×D4C22×D1711yescharacteristic
1015C22×D4C22×D1711yescharacteristic
1016C22×D4C22×D1711yescharacteristic
1017C22×D4C22×D1711yescharacteristic
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—171no—
1027C23×C4—171no—
1028C23×C4—682no—
1029C23×C4—682no—
1030C23×C4—682no—
1031C23×C4C22×D1711yescharacteristic
1032C23×C4C22×D1711yescharacteristic
1033C23×C4C22×D1711yescharacteristic
1034#126—682no—
1035#124—682no—
1036#123—344no—
1037#123—682no—
1038#123—682no—
1039#123—682no—
1040C22⋊Q8—682no—
1041#121—42no—
1042#121—42no—
1043#121—682no—
1044#121—682no—
1045#121—682no—
1046#120—42no—
1047#120—42no—
1048#120—682no—
1049C4×D4—42no—
1050#117—682no—
1051C2×C4⋊C4—171no—
1052C2×C4⋊C4—171no—
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—682no—
1076C2×C4⋊C4—682no—
1077C2×C4⋊C4C22×D1711yescharacteristic
1078C2×C4⋊C4C22×D1711yescharacteristic
1079C2×C4⋊C4C22×D1711yescharacteristic
1080C2×C4⋊C4C22×D1711yescharacteristic
1081C2×C22⋊C4—42no—
1082C2×C22⋊C4—171no—
1083C2×C22⋊C4—171no—
1084C2×C22⋊C4—171no—
1085C2×C22⋊C4—171no—
1086C2×C22⋊C4—171no—
1087C2×C22⋊C4—171no—
1088C2×C22⋊C4—171no—
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—344no—
1118C2×C22⋊C4C22×D1711yescharacteristic
1119C2×C22⋊C4C22×D1711yescharacteristic
1120C2×C22⋊C4C22×D1711yescharacteristic
1121C2×C22⋊C4C22×D1711yescharacteristic
1122C2×C22⋊C4C22×D1711yescharacteristic
1123C2×C22⋊C4C22×D1711yescharacteristic
1124C2×C22⋊C4C22×D1711yescharacteristic
1125C2×C22⋊C4C22×D1711yescharacteristic
1126C2×C22⋊C4C22×D1711yescharacteristic
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×C42—171no—
1134C2×C42—171no—
1135C2×C42—171no—
1136C2×C42—171no—
1137C2×C42C22×D1711yescharacteristic
1138#95—171no—
1139#95—171no—
1140#95—171no—
1141#95—171no—
1142#95—171no—
1143#95—171no—
1144#95—171no—
1145#95—171no—
1146#95—171no—
1147#95—171no—
1148#95—171no—
1149#95—171no—
1150#95—171no—
1151#95—171no—
1152#95—171no—
1153#95—171no—
1154#95—171no—
1155#95—171no—
1156#95—171no—
1157#95—171no—
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#95C22×D1711yescharacteristic
1179#95C22×D1711yescharacteristic
1180#95C22×D1711yescharacteristic
1181#95C22×D1711yescharacteristic
1182C17#3679111yescharacteristic, complemented, Sylow
1183C24—22no—
1184C24—22no—
1185C24—22no—
1186C24—22no—
1187C24—22no—
1188C24—41no—
1189C24—41no—
1190C24—171no—
1191C24C23×D1711yescharacteristic
1192C24C23×D1711yescharacteristic
1193C24C23×D1711yescharacteristic
1194C24C23×D1711yescharacteristic
1195C24C23×D1711yescharacteristic
1196#41—6816no—
1197C2×Q8—342no—
1198C2×Q8—681no—
1199C2×Q8—681no—
1200C2×Q8—681no—
1201C2×Q8—681no—
1202C2×Q8—681no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—22no—
1207C2×D4—22no—
1208C2×D4—22no—
1209C2×D4—22no—
1210C2×D4—22no—
1211C2×D4—22no—
1212C2×D4—22no—
1213C2×D4—41no—
1214C2×D4—41no—
1215C2×D4—41no—
1216C2×D4—41no—
1217C2×D4—41no—
1218C2×D4—41no—
1219C2×D4—41no—
1220C2×D4—41no—
1221C2×D4—41no—
1222C2×D4—41no—
1223C2×D4—41no—
1224C2×D4—342no—
1225C2×D4—342no—
1226C2×D4—342no—
1227C2×D4—342no—
1228C2×D4—342no—
1229C2×D4—342no—
1230C2×D4—342no—
1231C2×D4—681no—
1232C2×D4—681no—
1233C2×D4—681no—
1234C2×D4—681no—
1235C2×D4—681no—
1236C2×D4—681no—
1237C2×D4—681no—
1238C2×D4—681no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—41no—
1242C22×C4—41no—
1243C22×C4—41no—
1244C22×C4—41no—
1245C22×C4—41no—
1246C22×C4—41no—
1247C22×C4—41no—
1248C22×C4—174no—
1249C22×C4—171no—
1250C22×C4—171no—
1251C22×C4—171no—
1252C22×C4—171no—
1253C22×C4—171no—
1254C22×C4—171no—
1255C22×C4—171no—
1256C22×C4—171no—
1257C22×C4—171no—
1258C22×C4—171no—
1259C22×C4—171no—
1260C22×C4—171no—
1261C22×C4—171no—
1262C22×C4—171no—
1263C22×C4—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—342no—
1273C22×C4—342no—
1274C22×C4—342no—
1275C22×C4—342no—
1276C22×C4—681no—
1277C22×C4—681no—
1278C22×C4—681no—
1279C22×C4—681no—
1280C22×C4—681no—
1281C22×C4—681no—
1282C22×C4—681no—
1283C22×C4—681no—
1284C22×C4—681no—
1285C22×C4—681no—
1286C22×C4—681no—
1287C22×C4—681no—
1288C22×C4—681no—
1289C22×C4—681no—
1290C22×C4—681no—
1291C22×C4—681no—
1292C22×C4—681no—
1293C22×C4—6816no—
1294C22×C4C23×D1711yescharacteristic
1295C22×C4C23×D1711yescharacteristic
1296C22×C4C23×D1711yescharacteristic
1297C22×C4C23×D1711yescharacteristic
1298C22×C4C23×D1711yescharacteristic
1299C22×C4C23×D1711yescharacteristic
1300C22×C4C23×D1711yescharacteristic
1301C22×C4C23×D1711yescharacteristic
1302C22×C4C23×D1711yescharacteristic
1303C22×C4C23×D1711yescharacteristic
1304C4⋊C4—41no—
1305C4⋊C4—41no—
1306C4⋊C4—41no—
1307C4⋊C4—41no—
1308C4⋊C4—342no—
1309C4⋊C4—342no—
1310C4⋊C4—342no—
1311C4⋊C4—342no—
1312C4⋊C4—342no—
1313C4⋊C4—342no—
1314C4⋊C4—681no—
1315C4⋊C4—681no—
1316C4⋊C4—681no—
1317C4⋊C4—681no—
1318C4⋊C4—681no—
1319C4⋊C4—681no—
1320C4⋊C4—681no—
1321C4⋊C4—681no—
1322C4⋊C4—681no—
1323C4⋊C4—681no—
1324C4⋊C4—681no—
1325C4⋊C4—681no—
1326C4⋊C4—681no—
1327C4⋊C4—681no—
1328C4⋊C4—681no—
1329C4⋊C4—681no—
1330C4⋊C4—681no—
1331C4⋊C4—681no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—41no—
1343C22⋊C4—41no—
1344C22⋊C4—41no—
1345C22⋊C4—41no—
1346C22⋊C4—41no—
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—681no—
1360C22⋊C4—681no—
1361C22⋊C4—681no—
1362C22⋊C4—681no—
1363C22⋊C4—681no—
1364C22⋊C4—681no—
1365C22⋊C4—681no—
1366C22⋊C4—681no—
1367C22⋊C4—681no—
1368C22⋊C4—681no—
1369C22⋊C4—681no—
1370C22⋊C4—681no—
1371C22⋊C4—681no—
1372C22⋊C4—681no—
1373C22⋊C4—681no—
1374C22⋊C4—681no—
1375C22⋊C4—681no—
1376C22⋊C4—681no—
1377C22⋊C4—681no—
1378C22⋊C4—681no—
1379C22⋊C4—681no—
1380C22⋊C4—681no—
1381C22⋊C4—681no—
1382C42—41no—
1383C42—681no—
1384C42—681no—
1385C42—681no—
1386C42—681no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—28no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
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—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—44no—
1419C23—44no—
1420C23—44no—
1421C23—44no—
1422C23—44no—
1423C23—44no—
1424C23—341no—
1425C23—341no—
1426C23—341no—
1427C23—341no—
1428C23—341no—
1429C23—341no—
1430C23—341no—
1431C23#1058769112yes—
1432C23#1058769112yes—
1433C23#1058769112yes—
1434C23#41×D1712yes—
1435C23#1058769712yes—
1436C23C24×D1711yescharacteristic
1437Q8—684no—
1438Q8—1362no—
1439D4—44no—
1440D4—44no—
1441D4—82no—
1442D4—82no—
1443D4—82no—
1444D4—82no—
1445D4—82no—
1446D4—684no—
1447D4—684no—
1448D4—1362no—
1449D4—1362no—
1450D4—1362no—
1451C2×C4—21no—
1452C2×C4—21no—
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—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—82no—
1482C2×C4—82no—
1483C2×C4—82no—
1484C2×C4—172no—
1485C2×C4—172no—
1486C2×C4—172no—
1487C2×C4—341no—
1488C2×C4—341no—
1489C2×C4—341no—
1490C2×C4—341no—
1491C2×C4—341no—
1492C2×C4—341no—
1493C2×C4—348no—
1494C2×C4—341no—
1495C2×C4—341no—
1496C2×C4—341no—
1497C2×C4—341no—
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—341no—
1509C2×C4—341no—
1510C2×C4—341no—
1511C2×C4—341no—
1512C2×C4—341no—
1513C2×C4—341no—
1514C2×C4—341no—
1515C2×C4—341no—
1516C2×C4—341no—
1517C2×C4—341no—
1518C2×C4—341no—
1519C2×C4—341no—
1520C2×C4—341no—
1521C2×C4—341no—
1522C2×C4—341no—
1523C2×C4—341no—
1524C2×C4—341no—
1525C2×C4—341no—
1526C2×C4—341no—
1527C2×C4—341no—
1528C2×C4—341no—
1529C2×C4—341no—
1530C2×C4—684no—
1531C2×C4—684no—
1532C2×C4—684no—
1533C2×C4—684no—
1534C2×C4—684no—
1535C2×C4—684no—
1536C2×C4—684no—
1537C2×C4—684no—
1538C2×C4—684no—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—22no—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—416no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—681no—
1575C22—681no—
1576C22—681no—
1577C22—681no—
1578C22—681no—
1579C22—681no—
1580C22—681no—
1581C22#1176339114yes—
1582C22C2×#41×D1711yescharacteristic
1583C22H(5,𝔽2)×D1711yescharacteristic
1584C22C2×#1058769111yescharacteristic
1585C22C2×#1058769111yescharacteristic
1586C22C2×#1058769111yescharacteristic
1587C22C2×#1058769711yescharacteristic
1588C22#1176364411yescharacteristic
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—342no—
1600C4—342no—
1601C4—342no—
1602C4—681no—
1603C4—681no—
1604C4—681no—
1605C4—681no—
1606C4—681no—
1607C4—681no—
1608C4—681no—
1609C4—681no—
1610C4—681no—
1611C4—681no—
1612C4—681no—
1613C4—681no—
1614C2—24no—
1615C2—42no—
1616C2—42no—
1617C2—81no—
1618C2—81no—
1619C2—1361no—
1620C2C2×#1176339111yescharacteristic
1621C2#1454248511yescharacteristic
1622C2#1454263111yescharacteristic
1623C2#1454293411yescharacteristic
1624C2#1454296211yescharacteristic
1625C2#1454298111yescharacteristic
1626C2#1454299911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D17
commutator, socle, cosocleC23×C17C25
FittingC17×#2424C2
hypercenter#2424D17
hypocenterC17#36791
LCSG ▷ C23×C17 ▷ C17
UCSC1 ◁ C23 ◁ #2424

Complements

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

NH ≅ G/Ntype
1. #14537074C2semidirect
2. #14537064C2semidirect
3. #14536727C2semidirect
4. #14536635C2semidirect
5. #14536523C2semidirect
6. #14536485C2semidirect
7. #14536439C2semidirect
8. #14536395C2semidirect
9. #14536039C2semidirect
10. #14536020C2semidirect
11. #14535951C2semidirect
12. #14535573C2semidirect
13. #14535532C2semidirect
14. #14535502C2semidirect
15. #14535496C2semidirect
16. #14535318C2semidirect
17. #14535196C2semidirect
18. #14535145C2semidirect
19. #14534740C2semidirect
20. #14534717C2semidirect
21. #14533047C2semidirect
22. #14532904C2semidirect
23. #14532513C2semidirect
24. #14532464C2semidirect
25. #14532390C2semidirect
26. #14532165C2semidirect
27. #14532100C2semidirect
28. #14531449C2semidirect
29. #14531371C2semidirect
30. C2×#11762681C2semidirect
31. C17×#2424C2semidirect
34. C2×#10587565C22semidirect
36. C2×#10587615C22semidirect
49. C17⋊#401C22semidirect
50. #11762751C22semidirect
51. #11762751C22semidirect
52. #11762750C22semidirect
53. #11762750C22semidirect
54. #11762748C22semidirect
55. #11762747C22semidirect
56. #11762747C22semidirect
57. #11762747C22semidirect
58. #11762744C22semidirect
59. #11762743C22semidirect
60. #11762740C22semidirect
61. #11762740C22semidirect
62. #11762738C22semidirect
64. #11762737C22semidirect
65. #11762737C22semidirect
66. #11762736C22semidirect
67. #11762735C22semidirect
68. #11762734C22semidirect
69. #11762734C22semidirect
72. #11762732C22semidirect
73. #11762731C22semidirect
74. #11762729C22semidirect
75. #11762729C22semidirect
78. #11762724C22semidirect
79. #11762724C22semidirect
82. #11762723C22semidirect
83. #11762723C22semidirect
87. #11762721C22semidirect
88. #11762721C22semidirect
89. #11762721C22semidirect
92. #11762717C22semidirect
93. #11762713C22semidirect
94. #11762713C22semidirect
95. #11762713C22semidirect
99. #11762709C22semidirect
100. #11762709C22semidirect
101. #11762704C22semidirect
102. #11762704C22semidirect
103. #11762704C22semidirect
104. #11762703C22semidirect
105. #11762703C22semidirect
106. #11762703C22semidirect
108. #11762700C22semidirect
112. #11762695C22semidirect
113. #11762694C22semidirect
114. #11762693C22semidirect
115. #11762693C22semidirect
116. #11762693C22semidirect
117. #11762691C22semidirect
118. #11762691C22semidirect
130. #11762689C22semidirect
139. #11762685C22semidirect
141. #11762682C22semidirect
142. #11762682C22semidirect
143. #11762682C22semidirect
156. #11762681C22semidirect
157. #11762680C22semidirect
161. #11762668C22semidirect
162. #11762668C22semidirect
166. #11762667C22semidirect
167. #11762667C22semidirect
751. #2424D17semidirect
1182. C17#36791semidirect

Maximal subgroups

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

subgroupindex
#145370742
#145370642
#145367272
#145366352
#145365232
#145364852
#145364392
#145363952
#145360392
#145360202
#145359512
#145355732
#145355322
#145355022
#145354962
#145353182
#145351962
#145351452
#145347402
#145347172
#145330472
#145329042
#145325132
#145324642
#145323902
#145321652
#145321002
#145314492
#145313712
C2×#117626812
C17×#24242
#3679117