Finite Group Databasebeta

← #17207024

Subgroups — #17207024

Order 4352.

2878 conjugacy classes of subgroups.

The subgroup lattice has 1724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11763401C211yesmaximal, characteristic, complemented
2#14537099C211yesmaximal, characteristic, complemented
3#14537094C211yesmaximal, characteristic, complemented
4#14537076C211yesmaximal, characteristic, complemented
5#14537071C211yesmaximal, characteristic, complemented
6#14534701C211yesmaximal, characteristic, complemented
7#14534679C211yesmaximal, characteristic, complemented
8#14534652C211yesmaximal, characteristic, complemented
9#14534621C211yesmaximal, characteristic, complemented
10#14533024C211yesmaximal, characteristic, complemented
11#14532919C211yesmaximal, characteristic, complemented
12#14532814C211yesmaximal, characteristic, complemented
13#14532775C211yesmaximal, characteristic, complemented
14#14532730C211yesmaximal, characteristic, complemented
15#14532661C211yesmaximal, characteristic, complemented
16#14532593C211yesmaximal, characteristic, complemented
17#14532587C211yesmaximal, characteristic, complemented
18#14532513C211yesmaximal, characteristic, complemented
19#14532445C211yesmaximal, characteristic, complemented
20#14532329C211yesmaximal, characteristic, complemented
21#14532255C211yesmaximal, characteristic, complemented
22#14532246C211yesmaximal, characteristic, complemented
23#14532174C211yesmaximal, characteristic, complemented
24#14532158C211yesmaximal, characteristic
25#14532107C211yesmaximal, characteristic, complemented
26#14531482C211yesmaximal, characteristic, complemented
27#14531449C211yesmaximal, characteristic, complemented
28#14531417C211yesmaximal, characteristic, complemented
29C4×#10587639C211yesmaximal, characteristic, complemented
30C2×#11762682C211yesmaximal, characteristic, complemented
31C22×C4×D4×C17C211yesmaximal, characteristic, complemented
32#11763401—28no—
33C2×#10587562C2211yescharacteristic, complemented
34C2×#10587565C2211yescharacteristic, complemented
35C2×#10587556C2211yescharacteristic, complemented
36C2×#10587575C2211yescharacteristic, complemented
37C2×#10587572C2211yescharacteristic, complemented
38C2×#10587615C2211yescharacteristic, complemented
39C2×#10587615C2211yescharacteristic, complemented
40C2×#10587569C2211yescharacteristic, complemented
41C2×#10587621C2211yescharacteristic
42C2×#10587621C2211yescharacteristic
43C2×#10587610C2211yescharacteristic
44C2×#10587610C2211yescharacteristic, complemented
45C2×#10587610C2211yescharacteristic, complemented
46C2×#10587582C2211yescharacteristic, complemented
47C2×#10587564C2211yescharacteristic, complemented
48C2×#10587625C2211yescharacteristic
49C2×#10587625C2211yescharacteristic
50C2×#10587639C2211yescharacteristic
51C2×#10587639C2211yescharacteristic
52C2×C4×C22⋊D17C2211yescharacteristic
53C2×C4×C22⋊D17C2211yescharacteristic, complemented
54C2×C4×C22⋊D17C2211yescharacteristic, complemented
55C22×#63225C2211yescharacteristic, complemented
56C22×#63225C2211yescharacteristic, complemented
57C22×C22⋊Dic17C2211yescharacteristic
58C22×C22⋊Dic17C2211yescharacteristic
59#11762747C2211yescharacteristic, complemented
60#11762745C2211yescharacteristic, complemented
61#11762745C2211yescharacteristic, complemented
62#11762744C2211yescharacteristic, complemented
63#11762742C2211yescharacteristic, complemented
64#11762740C2211yescharacteristic, complemented
65#11762740C2211yescharacteristic, complemented
66#11762739C2211yescharacteristic, complemented
67#11762737C2211yescharacteristic, complemented
68#11762737C2211yescharacteristic, complemented
69#11762737C2211yescharacteristic, complemented
70#11762734C2211yescharacteristic, complemented
71#11762734C2211yescharacteristic, complemented
72#11762734C2211yescharacteristic, complemented
73#11762732C2211yescharacteristic, complemented
74#11762732C2211yescharacteristic, complemented
75#11762732C2211yescharacteristic, complemented
76#11762731C2211yescharacteristic, complemented
77#11762729C2211yescharacteristic, complemented
78#11762725C2211yescharacteristic, complemented
79#11762725C2211yescharacteristic, complemented
80#11762725C2211yescharacteristic, complemented
81#11762724C2211yescharacteristic, complemented
82#11762723C2211yescharacteristic
83#11762723C2211yescharacteristic
84#11762723C2211yescharacteristic
85#11762723C2211yescharacteristic
86#11762723C2211yescharacteristic
87#11762723C2211yescharacteristic
88#11762721C2211yescharacteristic, complemented
89#11762717C2211yescharacteristic
90#11762717C2211yescharacteristic
91#11762707C2211yescharacteristic, complemented
92#11762707C2211yescharacteristic, complemented
93#11762704C2211yescharacteristic, complemented
94#11762704C2211yescharacteristic, complemented
95#11762703C2211yescharacteristic, complemented
96#11762703C2211yescharacteristic, complemented
97#11762702C2211yescharacteristic, complemented
98#11762702C2211yescharacteristic, complemented
99#11762700C2211yescharacteristic, complemented
100#11762700C2211yescharacteristic, complemented
101#11762700C2211yescharacteristic, complemented
102#11762697C2211yescharacteristic, complemented
103#11762695C2211yescharacteristic, complemented
104#11762695C2211yescharacteristic, complemented
105#11762693C2211yescharacteristic, complemented
106#11762693C2211yescharacteristic, complemented
107#11762693C2211yescharacteristic, complemented
108#11762693C2211yescharacteristic, complemented
109#11762693C2211yescharacteristic, complemented
110#11762693C2211yescharacteristic, complemented
111#11762693C2211yescharacteristic, complemented
112#11762690C2211yescharacteristic, complemented
113#11762689C2211yescharacteristic
114#11762689C2211yescharacteristic
115#11762689C2211yescharacteristic
116#11762689C2211yescharacteristic
117#11762688C2211yescharacteristic
118#11762688C2211yescharacteristic
119#11762688C2211yescharacteristic
120#11762688C2211yescharacteristic
121#11762688C2211yescharacteristic, complemented
122#11762688C2211yescharacteristic, complemented
123#11762688C2211yescharacteristic, complemented
124#11762688C2211yescharacteristic, complemented
125#11762686C2211yescharacteristic, complemented
126#11762685C2211yescharacteristic, complemented
127#11762684C2211yescharacteristic, complemented
128#11762684C2211yescharacteristic, complemented
129#11762682C2211yescharacteristic
130#11762682C2211yescharacteristic
131#11762682C2211yescharacteristic
132#11762682C2211yescharacteristic
133#11762682C2211yescharacteristic
134#11762682C2211yescharacteristic
135#11762682C2211yescharacteristic
136#11762682C2211yescharacteristic
137#11762682C2211yescharacteristic
138#11762682C2211yescharacteristic
139#11762682C2211yescharacteristic, complemented
140#11762682C2211yescharacteristic, complemented
141#11762682C2211yescharacteristic, complemented
142#11762682C2211yescharacteristic, complemented
143#11762682C2211yescharacteristic, complemented
144#11762682C2211yescharacteristic, complemented
145#11762682C2211yescharacteristic, complemented
146#11762682C2211yescharacteristic, complemented
147#11762682C2211yescharacteristic, complemented
148#11762682C2211yescharacteristic, complemented
149#11762682C2211yescharacteristic, complemented
150#11762682C2211yescharacteristic, complemented
151#11762681C2211yescharacteristic, complemented
152#11762680C2211yescharacteristic, complemented
153#11762677C2211yescharacteristic, complemented
154#11762675C2211yescharacteristic, complemented
155#11762672C2211yescharacteristic, complemented
156#11762672C2211yescharacteristic, complemented
157#11762670C2211yescharacteristic, complemented
158#11762669C2211yescharacteristic
159#11762669C2211yescharacteristic
160#11762669C2211yescharacteristic
161#11762669C2211yescharacteristic, complemented
162#11762669C2211yescharacteristic, complemented
163#11762667C2211yescharacteristic, complemented
164#11762665C2211yescharacteristic
165#11762665C2211yescharacteristic
166#11762665C2211yescharacteristic
167#11762665C2211yescharacteristic
168C4×C22⋊Dic17C2211yescharacteristic
169C4×C22⋊Dic17C2211yescharacteristic, complemented
170C4×C22⋊Dic17C2211yescharacteristic, complemented
171C2×#10587502C2211yescharacteristic, complemented
172C2×#10587502C2211yescharacteristic, complemented
173C23×D4×C17C2211yescharacteristic
174C24×C4×C17C2211yescharacteristic
175C24×C4×C17C2211yescharacteristic
176C2×C4×D4×C17—28no—
177C2×C4×D4×C17C2211yescharacteristic
178C2×C4×D4×C17C2211yescharacteristic
179C2×C4×D4×C17C2211yescharacteristic
180C2×C4×D4×C17C2211yescharacteristic
181C2×C4×D4×C17C2211yescharacteristic
182C2×C4×D4×C17C2211yescharacteristic
183C2×C4×D4×C17C2211yescharacteristic
184C2×C4×D4×C17C2211yescharacteristic
185C22×C4⋊C4×C17C2211yescharacteristic
186C22×C22⋊C4×C17C2211yescharacteristic
187C22×C22⋊C4×C17C2211yescharacteristic
188C22×C42×C17C2211yescharacteristic
189C25×C17C2311yescharacteristic
190C25×C17C2311yescharacteristic
191C22×D4×C17—24no—
192C22×D4×C17—24no—
193C22×D4×C17—24no—
194C22×D4×C17C2311yescharacteristic
195C22×D4×C17C2311yescharacteristic
196C22×D4×C17C2311yescharacteristic
197C22×D4×C17C2311yescharacteristic
198C23×C4×C17—24no—
199C23×C4×C17—24no—
200C23×C4×C17—42no—
201C23×C4×C17—42no—
202C23×C4×C17—42no—
203C23×C4×C17—42no—
204C23×C4×C17C2311yescharacteristic
205C23×C4×C17C2311yescharacteristic
206C23×C4×C17C2311yescharacteristic
207C23×C4×C17C2311yescharacteristic
208C23×C4×C17C2311yescharacteristic
209C23×C4×C17C2311yescharacteristic
210C23×C4×C17C2311yescharacteristic
211C23×C4×C17C2311yescharacteristic
212C23×C4×C17C2311yescharacteristic
213C23×C4×C17C2311yescharacteristic
214C23×C4×C17C2311yescharacteristic
215C23×C4×C17C2311yescharacteristic
216C23×C4×C17C2311yescharacteristic
217C22×C22⋊D17C2311yescharacteristic
218C22×C22⋊D17C2311yescharacteristic
219C22×C22⋊D17C2311yescharacteristic
220C22×C22⋊D17C2311yescharacteristic
221C22×C22⋊D17C2311yescharacteristic
222C23×Dic17C2311yescharacteristic
223C23×Dic17C2311yescharacteristic
224C23×Dic17C2311yescharacteristic
225C23×Dic17C2311yescharacteristic
226C22×C4×D17C2311yescharacteristic
227C22×Dic34C2311yescharacteristic
228C4×D4×C17—24no—
229C4×D4×C17—24no—
230C4×D4×C17—24no—
231C4×D4×C17—24no—
232C4×D4×C17—24no—
233C4×D4×C17—24no—
234C4×D4×C17—24no—
235C4×D4×C17D418yescomplemented
236C2×C4⋊C4×C17—24no—
237C2×C4⋊C4×C17C2311yescharacteristic
238C2×C4⋊C4×C17C2311yescharacteristic
239C2×C4⋊C4×C17C2311yescharacteristic
240C2×C4⋊C4×C17C2311yescharacteristic
241C2×C22⋊C4×C17—24no—
242C2×C22⋊C4×C17—24no—
243C2×C22⋊C4×C17C2311yescharacteristic
244C2×C22⋊C4×C17C2311yescharacteristic
245C2×C22⋊C4×C17C2311yescharacteristic
246C2×C22⋊C4×C17C2311yescharacteristic
247C2×C22⋊C4×C17C2311yescharacteristic
248C2×C22⋊C4×C17C2311yescharacteristic
249C2×C22⋊C4×C17C2311yescharacteristic
250C2×C22⋊C4×C17C2311yescharacteristic
251C2×C42×C17—24no—
252C2×C42×C17C2311yescharacteristic
253C2×C42×C17C2311yescharacteristic
254C2×C42×C17C2311yescharacteristic
255C2×C42×C17C2311yescharacteristic
256#10587639—24no—
257#10587639—42no—
258C2×C22⋊Dic17—24no—
259C2×C22⋊Dic17—42no—
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
275C2×C22⋊Dic17C2311yescharacteristic
276C2×C22⋊Dic17C2311yescharacteristic
277C2×C22⋊Dic17C2311yescharacteristic
278C2×C22⋊Dic17C2311yescharacteristic
279C2×C22⋊Dic17C2311yescharacteristic
280C2×C22⋊Dic17C2311yescharacteristic
281C2×C22⋊Dic17C2311yescharacteristic
282C2×C22⋊Dic17C2311yescharacteristic
283C2×C22⋊Dic17C2311yescharacteristic
284C2×C22⋊Dic17C2311yescharacteristic
285C2×C22⋊Dic17C2311yescharacteristic
286C2×C22⋊Dic17C2311yescharacteristic
287C2×C22⋊Dic17C2311yescharacteristic
288C2×C22⋊Dic17C2311yescharacteristic
289C2×C22⋊Dic17C2311yescharacteristic
290C2×C22⋊Dic17C2311yescharacteristic
291#10587625—24no—
292#10587625—24no—
293#10587621—24no—
294#10587621—24no—
295#10587615—24no—
296#10587615—42no—
297C4×C22⋊D17—24no—
298C4×C22⋊D17—42no—
299C4×C22⋊D17—42no—
300C2×#63227C2311yescharacteristic
301C2×#63227C2311yescharacteristic
302C2×#63227C2311yescharacteristic
303C2×#63227C2311yescharacteristic
304C2×#63227C2311yescharacteristic
305C2×#63227C2311yescharacteristic
306C2×#63227C2311yescharacteristic
307C2×#63227C2311yescharacteristic
308C2×#63227C2311yescharacteristic
309C2×C4⋊Dic17C2311yescharacteristic
310C2×C4⋊Dic17C2311yescharacteristic
311C2×C4⋊Dic17C2311yescharacteristic
312C2×C4⋊Dic17C2311yescharacteristic
313C2×C4⋊Dic17C2311yescharacteristic
314C2×C4⋊Dic17C2311yescharacteristic
315C2×C4⋊Dic17C2311yescharacteristic
316#10587610—24no—
317#10587610—42no—
318#10587610—42no—
319C2×#63225—24no—
320C2×#63225—42no—
321C2×#63225C2311yescharacteristic
322C2×#63225C2311yescharacteristic
323C2×#63225C2311yescharacteristic
324C2×#63225C2311yescharacteristic
325C2×#63225C2311yescharacteristic
326C2×#63225C2311yescharacteristic
327C2×#63225C2311yescharacteristic
328C2×#63225C2311yescharacteristic
329C2×#63225C2311yescharacteristic
330C2×#63225C2311yescharacteristic
331C2×#63225C2311yescharacteristic
332C2×#63225C2311yescharacteristic
333C2×#63225C2311yescharacteristic
334C2×#63225C2311yescharacteristic
335C2×#63225C2311yescharacteristic
336C2×#63225C2311yescharacteristic
337C2×#63225C2311yescharacteristic
338C2×#63225C2311yescharacteristic
339C2×#63225C2311yescharacteristic
340C2×#63225C2311yescharacteristic
341C2×#63225C2311yescharacteristic
342C2×#63225C2311yescharacteristic
343C2×#63225C2311yescharacteristic
344C2×C4×Dic17C2311yescharacteristic
345C2×C4×Dic17C2311yescharacteristic
346C2×C4×Dic17C2311yescharacteristic
347#10587582—24no—
348#10587575—24no—
349#10587572—24no—
350#10587569—24no—
351#10587565—24no—
352#10587564—24no—
353#10587562—24no—
354#10587556—24no—
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
385#10587502C2311yescharacteristic
386#10587502C2311yescharacteristic
387#10587502C2311yescharacteristic
388#10587502C2311yescharacteristic
389#10587502C2311yescharacteristic
390#10587502C2311yescharacteristic
391C24×C17—22no—
392C24×C17—22no—
393C24×C17—22no—
394C24×C17—22no—
395C24×C17—22no—
396C24×C17—22no—
397C24×C17—22no—
398C24×C17—22no—
399C24×C17—22no—
400C24×C17—41no—
401C24×C17—41no—
402C24×C17—41no—
403C24×C17—41no—
404C24×C17#4114yes—
405C24×C17C2411yescharacteristic
406C24×C17C2411yescharacteristic
407C24×C17C2411yescharacteristic
408C24×C17C2411yescharacteristic
409C24×C17C2411yescharacteristic
410C23×D17C2411yescharacteristic
411C2×D4×C17—232no—
412C2×D4×C17—22no—
413C2×D4×C17—22no—
414C2×D4×C17—22no—
415C2×D4×C17—22no—
416C2×D4×C17—22no—
417C2×D4×C17—22no—
418C2×D4×C17—22no—
419C2×D4×C17—22no—
420C2×D4×C17—22no—
421C2×D4×C17—22no—
422C2×D4×C17C2×D414yes—
423C2×D4×C17#4114yes—
424C22×C4×C17—22no—
425C22×C4×C17—22no—
426C22×C4×C17—22no—
427C22×C4×C17—22no—
428C22×C4×C17—22no—
429C22×C4×C17—22no—
430C22×C4×C17—22no—
431C22×C4×C17—22no—
432C22×C4×C17—22no—
433C22×C4×C17—22no—
434C22×C4×C17—22no—
435C22×C4×C17—22no—
436C22×C4×C17—22no—
437C22×C4×C17—22no—
438C22×C4×C17—22no—
439C22×C4×C17—22no—
440C22×C4×C17—22no—
441C22×C4×C17—22no—
442C22×C4×C17—22no—
443C22×C4×C17—22no—
444C22×C4×C17—22no—
445C22×C4×C17—22no—
446C22×C4×C17—41no—
447C22×C4×C17—41no—
448C22×C4×C17—41no—
449C22×C4×C17—41no—
450C22×C4×C17—41no—
451C22×C4×C17—41no—
452C22×C4×C17—41no—
453C22×C4×C17—41no—
454C22×C4×C17—41no—
455C22×C4×C17—41no—
456C22×C4×C17—41no—
457C22×C4×C17—41no—
458C22×C4×C17—41no—
459C22×C4×C17—41no—
460C22×C4×C17—41no—
461C22×C4×C17—416no—
462C22×C4×C17—416no—
463C22×C4×C17C2×D414yes—
464C22×C4×C17C2×D414yes—
465C22×C4×C17C2411yescharacteristic
466C22×C4×C17C2411yescharacteristic
467C22×C4×C17C2411yescharacteristic
468C22×C4×C17C2411yescharacteristic
469C22×C4×C17C2411yescharacteristic
470C22×C4×C17C2411yescharacteristic
471C22×C4×C17C2411yescharacteristic
472C22×C4×C17C2411yescharacteristic
473C22×C4×C17C2411yescharacteristic
474C22×C4×C17C2411yescharacteristic
475C2×C22⋊D17—22no—
476C2×C22⋊D17—22no—
477C2×C22⋊D17—22no—
478C2×C22⋊D17—22no—
479C2×C22⋊D17—22no—
480C2×C22⋊D17—22no—
481C2×C22⋊D17—22no—
482C2×C22⋊D17—22no—
483C2×C22⋊D17—22no—
484C2×C22⋊D17—41no—
485C2×C22⋊D17—41no—
486C2×C22⋊D17—41no—
487C2×C22⋊D17—41no—
488C2×C22⋊D17—41no—
489C2×C22⋊D17—41no—
490C22×Dic17—22no—
491C22×Dic17—22no—
492C22×Dic17—22no—
493C22×Dic17—22no—
494C22×Dic17—22no—
495C22×Dic17—22no—
496C22×Dic17—41no—
497C22×Dic17—41no—
498C22×Dic17—41no—
499C22×Dic17—41no—
500C22×Dic17—41no—
501C22×Dic17—41no—
502C22×Dic17C2411yescharacteristic
503C22×Dic17C2411yescharacteristic
504C22×Dic17C2411yescharacteristic
505C22×Dic17C2411yescharacteristic
506C22×Dic17C2411yescharacteristic
507C22×Dic17C2411yescharacteristic
508C22×Dic17C2411yescharacteristic
509C22×Dic17C2411yescharacteristic
510C22×Dic17C2411yescharacteristic
511C22×Dic17C2411yescharacteristic
512C22×Dic17C2411yescharacteristic
513C22×Dic17C2411yescharacteristic
514C22×Dic17C2411yescharacteristic
515C22×Dic17C2411yescharacteristic
516C22×Dic17C2411yescharacteristic
517C2×C4×D17—22no—
518C2×C4×D17—41no—
519C2×C4×D17—41no—
520C2×Dic34—22no—
521C2×Dic34—41no—
522C2×Dic34—41no—
523C4⋊C4×C17—22no—
524C4⋊C4×C17—22no—
525C4⋊C4×C17—22no—
526C4⋊C4×C17C2×D414yes—
527C22⋊C4×C17—22no—
528C22⋊C4×C17—22no—
529C22⋊C4×C17—22no—
530C22⋊C4×C17—22no—
531C22⋊C4×C17—22no—
532C22⋊C4×C17—22no—
533C22⋊C4×C17C2×D414yes—
534C22⋊C4×C17C2×D414yes—
535C42×C17—22no—
536C42×C17—22no—
537C42×C17—22no—
538C42×C17C2×D414yes—
539C22⋊Dic17—22no—
540C22⋊Dic17—22no—
541C22⋊Dic17—22no—
542C22⋊Dic17—22no—
543C22⋊Dic17—22no—
544C22⋊Dic17—22no—
545C22⋊Dic17—22no—
546C22⋊Dic17—22no—
547C22⋊Dic17—22no—
548C22⋊Dic17—22no—
549C22⋊Dic17—22no—
550C22⋊Dic17—22no—
551C22⋊Dic17—22no—
552C22⋊Dic17—22no—
553C22⋊Dic17—22no—
554C22⋊Dic17—22no—
555C22⋊Dic17—22no—
556C22⋊Dic17—22no—
557C22⋊Dic17—22no—
558C22⋊Dic17—41no—
559C22⋊Dic17—41no—
560C22⋊Dic17—41no—
561C22⋊Dic17—41no—
562C22⋊Dic17—41no—
563C22⋊Dic17—41no—
564C22⋊Dic17—41no—
565C22⋊Dic17—41no—
566C22⋊Dic17—41no—
567C22⋊Dic17—41no—
568C22⋊Dic17—41no—
569C22⋊Dic17—41no—
570#63227—22no—
571#63227—22no—
572#63227—22no—
573#63227—22no—
574#63227—22no—
575#63227—22no—
576#63227—41no—
577#63227—41no—
578#63227—41no—
579C4⋊Dic17—22no—
580C4⋊Dic17—22no—
581C4⋊Dic17—22no—
582C4⋊Dic17—41no—
583C4⋊Dic17—41no—
584C4⋊Dic17—41no—
585C4⋊Dic17—41no—
586#63225—22no—
587#63225—22no—
588#63225—22no—
589#63225—22no—
590#63225—22no—
591#63225—22no—
592#63225—22no—
593#63225—22no—
594#63225—22no—
595#63225—22no—
596#63225—22no—
597#63225—22no—
598#63225—22no—
599#63225—22no—
600#63225—22no—
601#63225—22no—
602#63225—41no—
603#63225—41no—
604#63225—41no—
605#63225—41no—
606#63225—41no—
607#63225—41no—
608#63225—41no—
609C4×Dic17—22no—
610C4×Dic17—41no—
611C4×Dic17—41no—
612#34991—171nomaximal, Sylow
613C23×C17—21no—
614C23×C17—21no—
615C23×C17—21no—
616C23×C17—21no—
617C23×C17—21no—
618C23×C17—21no—
619C23×C17—21no—
620C23×C17—21no—
621C23×C17—28no—
622C23×C17—28no—
623C23×C17—28no—
624C23×C17—21no—
625C23×C17—21no—
626C23×C17—21no—
627C23×C17—21no—
628C23×C17—21no—
629C23×C17—21no—
630C23×C17—21no—
631C23×C17—21no—
632C23×C17—21no—
633C23×C17—21no—
634C23×C17—21no—
635C23×C17—21no—
636C23×C17—21no—
637C23×C17—21no—
638C23×C17—21no—
639C23×C17—21no—
640C23×C17—21no—
641C23×C17—21no—
642C23×C17—44no—
643C23×C17—44no—
644C23×C17—44no—
645C23×C17—44no—
646C23×C17—44no—
647C23×C17—44no—
648C23×C17—44no—
649C23×C17—44no—
650C23×C17—44no—
651C23×C17—44no—
652C23×C17—44no—
653C23×C17C22×D412yes—
654C23×C17C22×D412yes—
655C23×C17C2×#4112yes—
656C23×C17C2×#4112yes—
657C23×C17C2×#4112yes—
658C23×C17C2×#4112yes—
659C23×C17C2×#4112yes—
660C23×C17H(5,𝔽2)12yes—
661C23×C172−1+412yes—
662C23×C17C2511yescharacteristic
663C22×D17—21no—
664C22×D17—21no—
665C22×D17—21no—
666C22×D17—21no—
667C22×D17—21no—
668C22×D17—21no—
669C22×D17—21no—
670D4×C17—28no—
671D4×C17—28no—
672D4×C17—28no—
673D4×C17—28no—
674C2×C4×C17—28no—
675C2×C4×C17—28no—
676C2×C4×C17—21no—
677C2×C4×C17—21no—
678C2×C4×C17—21no—
679C2×C4×C17—21no—
680C2×C4×C17—21no—
681C2×C4×C17—21no—
682C2×C4×C17—21no—
683C2×C4×C17—21no—
684C2×C4×C17—21no—
685C2×C4×C17—21no—
686C2×C4×C17—21no—
687C2×C4×C17—21no—
688C2×C4×C17—21no—
689C2×C4×C17—21no—
690C2×C4×C17—21no—
691C2×C4×C17—21no—
692C2×C4×C17—21no—
693C2×C4×C17—21no—
694C2×C4×C17—21no—
695C2×C4×C17—21no—
696C2×C4×C17—21no—
697C2×C4×C17—21no—
698C2×C4×C17—21no—
699C2×C4×C17—44no—
700C2×C4×C17—44no—
701C2×C4×C17—44no—
702C2×C4×C17—44no—
703C2×C4×C17—44no—
704C2×C4×C17—44no—
705C2×C4×C17—44no—
706C2×C4×C17—44no—
707C2×C4×C17—44no—
708C2×C4×C17—44no—
709C2×C4×C17—44no—
710C2×C4×C17C22×D412yes—
711C2×C4×C17C22×D412yes—
712C2×C4×C17C22×D412yes—
713C2×C4×C17C22×D412yes—
714C2×C4×C17C22×D412yes—
715C2×C4×C17C2×#4112yes—
716C2×C4×C17H(5,𝔽2)12yes—
717C22⋊D17—44no—
718C22⋊D17—44no—
719C22⋊D17—44no—
720C22⋊D17—82no—
721C22⋊D17—82no—
722C2×Dic17—21no—
723C2×Dic17—21no—
724C2×Dic17—21no—
725C2×Dic17—21no—
726C2×Dic17—21no—
727C2×Dic17—21no—
728C2×Dic17—21no—
729C2×Dic17—21no—
730C2×Dic17—21no—
731C2×Dic17—21no—
732C2×Dic17—21no—
733C2×Dic17—21no—
734C2×Dic17—21no—
735C2×Dic17—21no—
736C2×Dic17—21no—
737C2×Dic17—21no—
738C2×Dic17—21no—
739C2×Dic17—21no—
740C2×Dic17—21no—
741C2×Dic17—21no—
742C2×Dic17—21no—
743C2×Dic17—21no—
744C2×Dic17—21no—
745C2×Dic17—21no—
746C2×Dic17—21no—
747C2×Dic17—21no—
748C2×Dic17—21no—
749C2×Dic17—21no—
750C2×Dic17—21no—
751C2×Dic17—21no—
752C2×Dic17—21no—
753C2×Dic17—21no—
754C2×Dic17—21no—
755C2×Dic17—21no—
756C2×Dic17—21no—
757C2×Dic17—21no—
758C2×Dic17—21no—
759C2×Dic17—21no—
760C2×Dic17—21no—
761C2×Dic17—21no—
762C2×Dic17—21no—
763C2×Dic17—21no—
764C2×Dic17—21no—
765C2×Dic17—21no—
766C2×Dic17—21no—
767C2×Dic17—44no—
768C2×Dic17—44no—
769C2×Dic17—82no—
770C2×Dic17—82no—
771C4×D17—82no—
772Dic34—82no—
773C2×#539—171no—
774C22×C4×D4D1711yescharacteristic, complemented
775#2852—171no—
776#2851—171no—
777#2849—171no—
778#2848—171no—
779#2638—171no—
780#2636—171no—
781#2633—171no—
782#2630—171no—
783#2480—171no—
784#2473—171no—
785#2466—171no—
786#2463—171no—
787#2460—171no—
788#2455—171no—
789#2449—171no—
790#2449—171no—
791#2443—171no—
792#2437—171no—
793#2425—171no—
794#2419—171no—
795#2418—171no—
796#2412—171no—
797#2410—171no—
798#2405—171no—
799#2325—171no—
800#2322—171no—
801#2318—171no—
802C4×#120—171no—
803C2×#385—171no—
804C22×C17—22no—
805C22×C17—22no—
806C22×C17—22no—
807C22×C17—22no—
808C22×C17—22no—
809C22×C17—22no—
810C22×C17—22no—
811C22×C17—22no—
812C22×C17—22no—
813C22×C17—22no—
814C22×C17—22no—
815C22×C17—22no—
816C22×C17—22no—
817C22×C17—22no—
818C22×C17—22no—
819C22×C17—22no—
820C22×C17—22no—
821C22×C17—22no—
822C22×C17—22no—
823C22×C17—22no—
824C22×C17—22no—
825C22×C17—416no—
826C22×C17—416no—
827C22×C17—41no—
828C22×C17—41no—
829C22×C17—41no—
830C22×C17—41no—
831C22×C17—41no—
832C22×C17—41no—
833C22×C17—41no—
834C22×C17—41no—
835C22×C17—41no—
836C22×C17—41no—
837C22×C17—41no—
838C22×C17—41no—
839C22×C17#52514yes—
840C22×C17#53914yescomplemented
841C22×C17C23×D411yescharacteristic
842C22×C17C22×#4111yescharacteristic
843C22×C17C22×#4111yescharacteristic
844C22×C17C2×H(5,𝔽2)11yescharacteristic
845C22×C17C2×H(5,𝔽2)11yescharacteristic
846C22×C17C2×2−1+411yescharacteristic
847C22×C17#58511yescharacteristic
848C2×D17—41no—
849C2×D17—41no—
850C2×D17—41no—
851C2×D17—41no—
852C2×D17—41no—
853C2×D17—41no—
854C2×D17—41no—
855C4×C17—22no—
856C4×C17—22no—
857C4×C17—22no—
858C4×C17—22no—
859C4×C17—22no—
860C4×C17—22no—
861C4×C17—22no—
862C4×C17—41no—
863C4×C17—41no—
864C4×C17—41no—
865Dic17—41no—
866Dic17—41no—
867Dic17—41no—
868Dic17—41no—
869Dic17—41no—
870Dic17—41no—
871Dic17—41no—
872Dic17—41no—
873Dic17—41no—
874Dic17—41no—
875Dic17—41no—
876Dic17—41no—
877Dic17—41no—
878Dic17—41no—
879Dic17—41no—
880C23×D4C2×D1711yescharacteristic
881C24×C4C2×D1711yescharacteristic
882C24×C4C2×D1711yescharacteristic
883#539—348no—
884C2×#126—171no—
885C2×#126—171no—
886C2×#125—171no—
887C2×#125—171no—
888C2×#123—171no—
889C2×#123—171no—
890C2×#123—171no—
891C2×#123—171no—
892C2×#123—171no—
893C2×#123—171no—
894C2×C22⋊Q8—171no—
895C2×C22⋊Q8—171no—
896C2×C22⋊Q8—171no—
897C2×C22⋊Q8—171no—
898C2×C22⋊Q8—171no—
899C2×#121—171no—
900C2×#121—171no—
901C2×#120—171no—
902C2×#120—171no—
903C2×C4×D4—28no—
904C2×C4×D4—171no—
905C2×C4×D4—171no—
906C2×C4×D4—171no—
907C2×C4×D4C2×D1711yescharacteristic
908C2×C4×D4C2×D1711yescharacteristic
909C2×C4×D4C2×D1711yescharacteristic
910C2×C4×D4C2×D1711yescharacteristic
911C2×C4×D4C2×D1711yescharacteristic
912C2×C4×D4C2×D1711yescharacteristic
913C2×C4×D4C2×D1711yescharacteristic
914C2×C4×D4C2×D1711yescharacteristic
915C22×C4⋊C4—171no—
916C22×C4⋊C4—171no—
917C22×C4⋊C4C2×D1711yescharacteristic
918C22×C22⋊C4—171no—
919C22×C22⋊C4—171no—
920C22×C22⋊C4C2×D1711yescharacteristic
921C22×C22⋊C4C2×D1711yescharacteristic
922C22×C42C2×D1711yescharacteristic
923#400—171no—
924#399—171no—
925#399—171no—
926#399—171no—
927#398—171no—
928#398—171no—
929#398—171no—
930#398—171no—
931#397—171no—
932#397—171no—
933#397—171no—
934#397—171no—
935#397—171no—
936#397—171no—
937#396—171no—
938#396—171no—
939#396—171no—
940#396—171no—
941#395—171no—
942#394—171no—
943#394—171no—
944#394—171no—
945#394—171no—
946#394—171no—
947#394—171no—
948#394—171no—
949#394—171no—
950#394—171no—
951#394—171no—
952#393—171no—
953#392—171no—
954#392—171no—
955#389—171no—
956#389—171no—
957#389—171no—
958#389—171no—
959#388—171no—
960#388—171no—
961#388—171no—
962#388—171no—
963#388—171no—
964#388—171no—
965#388—171no—
966#388—171no—
967#387—171no—
968#387—171no—
969#387—171no—
970#387—171no—
971#387—171no—
972#387—171no—
973#387—171no—
974#387—171no—
975#387—171no—
976#387—171no—
977#386—171no—
978#386—171no—
979#386—171no—
980#386—171no—
981#386—171no—
982#386—171no—
983#386—171no—
984#386—171no—
985#386—171no—
986#386—171no—
987#386—171no—
988#386—171no—
989#386—171no—
990#386—171no—
991#385—171no—
992#385—171no—
993#385—171no—
994#385—171no—
995#385—171no—
996#385—171no—
997#385—171no—
998#385—171no—
999#385—171no—
1000#385—171no—
1001#385—171no—
1002#385—171no—
1003#385—171no—
1004#385—171no—
1005#385—171no—
1006#385—171no—
1007#385—171no—
1008#385—171no—
1009#385—171no—
1010#385—171no—
1011#385—171no—
1012#385—171no—
1013#385—171no—
1014#385—171no—
1015#385—171no—
1016#385—171no—
1017#383—171no—
1018#382—171no—
1019#381—171no—
1020#381—171no—
1021#381—171no—
1022#380—171no—
1023#380—171no—
1024#380—171no—
1025#380—171no—
1026#380—171no—
1027#380—171no—
1028#379—171no—
1029#379—171no—
1030#379—171no—
1031#379—171no—
1032C4×C22⋊C4—171no—
1033C4×C22⋊C4—171no—
1034C4×C22⋊C4—171no—
1035C2×#95—171no—
1036C2×#95—171no—
1037C2×C17—24no—
1038C2×C17—24no—
1039C2×C17—42no—
1040C2×C17—42no—
1041C2×C17—42no—
1042C2×C17C2×#52511yescharacteristic
1043C2×C17C2×#53911yescharacteristic
1044C2×C17#345911yescharacteristic
1045C2×C17#348411yescharacteristic
1046C2×C17#348911yescharacteristic
1047C2×C17#351311yescharacteristic
1048C2×C17#352011yescharacteristic
1049D17—81no—
1050C25C22×D1711yescharacteristic
1051C25C22×D1711yescharacteristic
1052C22×Q8—171no—
1053C22×D4—24no—
1054C22×D4—24no—
1055C22×D4—24no—
1056C22×D4—171no—
1057C22×D4—171no—
1058C22×D4—171no—
1059C22×D4—171no—
1060C22×D4—171no—
1061C22×D4C22×D1711yescharacteristic
1062C22×D4C22×D1711yescharacteristic
1063C22×D4C22×D1711yescharacteristic
1064C22×D4C22×D1711yescharacteristic
1065C23×C4—24no—
1066C23×C4—24no—
1067C23×C4—42no—
1068C23×C4—42no—
1069C23×C4—42no—
1070C23×C4—42no—
1071C23×C4—171no—
1072C23×C4—171no—
1073C23×C4—171no—
1074C23×C4—171no—
1075C23×C4—171no—
1076C23×C4C22×D1711yescharacteristic
1077C23×C4C22×D1711yescharacteristic
1078C23×C4C22×D1711yescharacteristic
1079C23×C4C22×D1711yescharacteristic
1080C23×C4C22×D1711yescharacteristic
1081C23×C4C22×D1711yescharacteristic
1082C23×C4C22×D1711yescharacteristic
1083C23×C4C22×D1711yescharacteristic
1084C23×C4C22×D1711yescharacteristic
1085C23×C4C22×D1711yescharacteristic
1086C23×C4C22×D1711yescharacteristic
1087C23×C4C22×D1711yescharacteristic
1088C23×C4C22×D1711yescharacteristic
1089#126—344no—
1090#126—344no—
1091#125—344no—
1092#125—344no—
1093#123—344no—
1094#123—344no—
1095#123—344no—
1096#123—344no—
1097#123—344no—
1098#123—682no—
1099C22⋊Q8—344no—
1100C22⋊Q8—344no—
1101C22⋊Q8—344no—
1102C22⋊Q8—682no—
1103C22⋊Q8—682no—
1104#121—344no—
1105#121—344no—
1106#120—344no—
1107#120—682no—
1108C4×D4—24no—
1109C4×D4—24no—
1110C4×D4—24no—
1111C4×D4—24no—
1112C4×D4—24no—
1113C4×D4—24no—
1114C4×D4—24no—
1115C4×D4—344no—
1116C4×D4—682no—
1117C4×D4—682no—
1118C4×D4C22⋊D1718yescomplemented
1119C2×C4⋊C4—24no—
1120C2×C4⋊C4—171no—
1121C2×C4⋊C4—171no—
1122C2×C4⋊C4—171no—
1123C2×C4⋊C4—171no—
1124C2×C4⋊C4—171no—
1125C2×C4⋊C4—171no—
1126C2×C4⋊C4—171no—
1127C2×C4⋊C4—171no—
1128C2×C4⋊C4—171no—
1129C2×C4⋊C4—171no—
1130C2×C4⋊C4—171no—
1131C2×C4⋊C4—171no—
1132C2×C4⋊C4—171no—
1133C2×C4⋊C4—171no—
1134C2×C4⋊C4—171no—
1135C2×C4⋊C4—171no—
1136C2×C4⋊C4—171no—
1137C2×C4⋊C4—171no—
1138C2×C4⋊C4—171no—
1139C2×C4⋊C4—171no—
1140C2×C4⋊C4—171no—
1141C2×C4⋊C4—171no—
1142C2×C4⋊C4—171no—
1143C2×C4⋊C4—171no—
1144C2×C4⋊C4—171no—
1145C2×C4⋊C4—171no—
1146C2×C4⋊C4—171no—
1147C2×C4⋊C4—171no—
1148C2×C4⋊C4—171no—
1149C2×C4⋊C4—171no—
1150C2×C4⋊C4—344no—
1151C2×C4⋊C4—682no—
1152C2×C4⋊C4C22×D1711yescharacteristic
1153C2×C4⋊C4C22×D1711yescharacteristic
1154C2×C4⋊C4C22×D1711yescharacteristic
1155C2×C4⋊C4C22×D1711yescharacteristic
1156C2×C22⋊C4—24no—
1157C2×C22⋊C4—24no—
1158C2×C22⋊C4—171no—
1159C2×C22⋊C4—171no—
1160C2×C22⋊C4—171no—
1161C2×C22⋊C4—171no—
1162C2×C22⋊C4—171no—
1163C2×C22⋊C4—171no—
1164C2×C22⋊C4—171no—
1165C2×C22⋊C4—171no—
1166C2×C22⋊C4—171no—
1167C2×C22⋊C4—171no—
1168C2×C22⋊C4—171no—
1169C2×C22⋊C4—171no—
1170C2×C22⋊C4—171no—
1171C2×C22⋊C4—171no—
1172C2×C22⋊C4—171no—
1173C2×C22⋊C4—171no—
1174C2×C22⋊C4—171no—
1175C2×C22⋊C4—171no—
1176C2×C22⋊C4—171no—
1177C2×C22⋊C4—171no—
1178C2×C22⋊C4—171no—
1179C2×C22⋊C4—171no—
1180C2×C22⋊C4—171no—
1181C2×C22⋊C4—171no—
1182C2×C22⋊C4—171no—
1183C2×C22⋊C4—171no—
1184C2×C22⋊C4—171no—
1185C2×C22⋊C4—171no—
1186C2×C22⋊C4—171no—
1187C2×C22⋊C4—171no—
1188C2×C22⋊C4—171no—
1189C2×C22⋊C4—171no—
1190C2×C22⋊C4—171no—
1191C2×C22⋊C4—171no—
1192C2×C22⋊C4—171no—
1193C2×C22⋊C4—171no—
1194C2×C22⋊C4—171no—
1195C2×C22⋊C4—171no—
1196C2×C22⋊C4—171no—
1197C2×C22⋊C4—171no—
1198C2×C22⋊C4—344no—
1199C2×C22⋊C4—682no—
1200C2×C22⋊C4C22×D1711yescharacteristic
1201C2×C22⋊C4C22×D1711yescharacteristic
1202C2×C22⋊C4C22×D1711yescharacteristic
1203C2×C22⋊C4C22×D1711yescharacteristic
1204C2×C22⋊C4C22×D1711yescharacteristic
1205C2×C22⋊C4C22×D1711yescharacteristic
1206C2×C22⋊C4C22×D1711yescharacteristic
1207C2×C22⋊C4C22×D1711yescharacteristic
1208C2×C42—24no—
1209C2×C42—171no—
1210C2×C42—171no—
1211C2×C42—171no—
1212C2×C42C22×D1711yescharacteristic
1213C2×C42C22×D1711yescharacteristic
1214C2×C42C22×D1711yescharacteristic
1215C2×C42C22×D1711yescharacteristic
1216#95—171no—
1217#95—171no—
1218#95—171no—
1219#95—171no—
1220#95—171no—
1221#95—171no—
1222#95—171no—
1223#95—171no—
1224#95—171no—
1225#95—171no—
1226#95—171no—
1227#95—171no—
1228#95—171no—
1229#95—171no—
1230#95—171no—
1231#95—171no—
1232#95—171no—
1233#95—171no—
1234#95—171no—
1235#95—171no—
1236#95—171no—
1237#95—171no—
1238#95—171no—
1239#95—171no—
1240#95—171no—
1241#95—171no—
1242#95—171no—
1243#95—171no—
1244#95—171no—
1245#95—171no—
1246#95—171no—
1247#95—171no—
1248#95—171no—
1249#95—171no—
1250#95—171no—
1251#95—171no—
1252C17#3499111yescharacteristic, complemented, Sylow
1253C24—22no—
1254C24—22no—
1255C24—22no—
1256C24—22no—
1257C24—22no—
1258C24—22no—
1259C24—22no—
1260C24—22no—
1261C24—22no—
1262C24—41no—
1263C24—41no—
1264C24—41no—
1265C24—41no—
1266C24—171no—
1267C24#6325214yes—
1268C24C23×D1711yescharacteristic
1269C24C23×D1711yescharacteristic
1270C24C23×D1711yescharacteristic
1271C24C23×D1711yescharacteristic
1272C24C23×D1711yescharacteristic
1273C2×Q8—342no—
1274C2×Q8—681no—
1275C2×Q8—681no—
1276C2×D4—232no—
1277C2×D4—22no—
1278C2×D4—22no—
1279C2×D4—22no—
1280C2×D4—22no—
1281C2×D4—22no—
1282C2×D4—22no—
1283C2×D4—22no—
1284C2×D4—22no—
1285C2×D4—22no—
1286C2×D4—22no—
1287C2×D4—342no—
1288C2×D4—342no—
1289C2×D4—342no—
1290C2×D4—342no—
1291C2×D4—342no—
1292C2×D4—342no—
1293C2×D4—342no—
1294C2×D4—342no—
1295C2×D4—342no—
1296C2×D4—681no—
1297C2×D4—681no—
1298C2×D4—681no—
1299C2×D4—681no—
1300C2×D4—681no—
1301C2×D4—681no—
1302C2×D4#6325214yes—
1303C2×D4C2×C22⋊D1714yes—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—22no—
1311C22×C4—22no—
1312C22×C4—22no—
1313C22×C4—22no—
1314C22×C4—22no—
1315C22×C4—22no—
1316C22×C4—22no—
1317C22×C4—22no—
1318C22×C4—22no—
1319C22×C4—22no—
1320C22×C4—22no—
1321C22×C4—22no—
1322C22×C4—22no—
1323C22×C4—22no—
1324C22×C4—22no—
1325C22×C4—22no—
1326C22×C4—41no—
1327C22×C4—41no—
1328C22×C4—41no—
1329C22×C4—41no—
1330C22×C4—41no—
1331C22×C4—41no—
1332C22×C4—41no—
1333C22×C4—41no—
1334C22×C4—41no—
1335C22×C4—41no—
1336C22×C4—41no—
1337C22×C4—41no—
1338C22×C4—41no—
1339C22×C4—41no—
1340C22×C4—41no—
1341C22×C4—416no—
1342C22×C4—416no—
1343C22×C4—171no—
1344C22×C4—171no—
1345C22×C4—171no—
1346C22×C4—171no—
1347C22×C4—171no—
1348C22×C4—171no—
1349C22×C4—171no—
1350C22×C4—171no—
1351C22×C4—171no—
1352C22×C4—171no—
1353C22×C4—171no—
1354C22×C4—171no—
1355C22×C4—171no—
1356C22×C4—171no—
1357C22×C4—171no—
1358C22×C4—342no—
1359C22×C4—342no—
1360C22×C4—342no—
1361C22×C4—342no—
1362C22×C4—342no—
1363C22×C4—342no—
1364C22×C4—342no—
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×C4C2×C22⋊D1714yes—
1374C22×C4C2×C22⋊D1714yes—
1375C22×C4C23×D1711yescharacteristic
1376C22×C4C23×D1711yescharacteristic
1377C22×C4C23×D1711yescharacteristic
1378C22×C4C23×D1711yescharacteristic
1379C22×C4C23×D1711yescharacteristic
1380C22×C4C23×D1711yescharacteristic
1381C22×C4C23×D1711yescharacteristic
1382C22×C4C23×D1711yescharacteristic
1383C22×C4C23×D1711yescharacteristic
1384C22×C4C23×D1711yescharacteristic
1385C4⋊C4—22no—
1386C4⋊C4—22no—
1387C4⋊C4—22no—
1388C4⋊C4—342no—
1389C4⋊C4—342no—
1390C4⋊C4—342no—
1391C4⋊C4—342no—
1392C4⋊C4—342no—
1393C4⋊C4—342no—
1394C4⋊C4—342no—
1395C4⋊C4—342no—
1396C4⋊C4—342no—
1397C4⋊C4—342no—
1398C4⋊C4—342no—
1399C4⋊C4—342no—
1400C4⋊C4—342no—
1401C4⋊C4—342no—
1402C4⋊C4—342no—
1403C4⋊C4—342no—
1404C4⋊C4—342no—
1405C4⋊C4—342no—
1406C4⋊C4—342no—
1407C4⋊C4—681no—
1408C4⋊C4—681no—
1409C4⋊C4—681no—
1410C4⋊C4—681no—
1411C4⋊C4—681no—
1412C4⋊C4—681no—
1413C4⋊C4—681no—
1414C4⋊C4—681no—
1415C4⋊C4—681no—
1416C4⋊C4—681no—
1417C4⋊C4—681no—
1418C4⋊C4C2×C22⋊D1714yes—
1419C22⋊C4—22no—
1420C22⋊C4—22no—
1421C22⋊C4—22no—
1422C22⋊C4—22no—
1423C22⋊C4—22no—
1424C22⋊C4—22no—
1425C22⋊C4—342no—
1426C22⋊C4—342no—
1427C22⋊C4—342no—
1428C22⋊C4—342no—
1429C22⋊C4—342no—
1430C22⋊C4—342no—
1431C22⋊C4—342no—
1432C22⋊C4—342no—
1433C22⋊C4—342no—
1434C22⋊C4—342no—
1435C22⋊C4—342no—
1436C22⋊C4—342no—
1437C22⋊C4—342no—
1438C22⋊C4—342no—
1439C22⋊C4—342no—
1440C22⋊C4—342no—
1441C22⋊C4—342no—
1442C22⋊C4—342no—
1443C22⋊C4—342no—
1444C22⋊C4—342no—
1445C22⋊C4—342no—
1446C22⋊C4—342no—
1447C22⋊C4—342no—
1448C22⋊C4—342no—
1449C22⋊C4—342no—
1450C22⋊C4—681no—
1451C22⋊C4—681no—
1452C22⋊C4—681no—
1453C22⋊C4—681no—
1454C22⋊C4—681no—
1455C22⋊C4—681no—
1456C22⋊C4—681no—
1457C22⋊C4—681no—
1458C22⋊C4—681no—
1459C22⋊C4—681no—
1460C22⋊C4—681no—
1461C22⋊C4—681no—
1462C22⋊C4—681no—
1463C22⋊C4—681no—
1464C22⋊C4—681no—
1465C22⋊C4C2×C22⋊D1714yes—
1466C22⋊C4C2×C22⋊D1714yes—
1467C42—22no—
1468C42—22no—
1469C42—22no—
1470C42—342no—
1471C42—681no—
1472C42—681no—
1473C42C2×C22⋊D1714yes—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—28no—
1483C23—28no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—21no—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—28no—
1503C23—44no—
1504C23—44no—
1505C23—44no—
1506C23—44no—
1507C23—44no—
1508C23—44no—
1509C23—44no—
1510C23—44no—
1511C23—44no—
1512C23—44no—
1513C23—44no—
1514C23—341no—
1515C23—341no—
1516C23—341no—
1517C23—341no—
1518C23—341no—
1519C23—341no—
1520C23—341no—
1521C23C2×#6325212yes—
1522C23C2×#6325212yes—
1523C23C2×#6325212yes—
1524C23C2×#6325212yes—
1525C23C2×#6325212yes—
1526C23#1058769112yes—
1527C23#1058769712yes—
1528C23C22×C22⋊D1712yes—
1529C23C22×C22⋊D1712yes—
1530C23C24×D1711yescharacteristic
1531Q8—1362no—
1532D4—28no—
1533D4—28no—
1534D4—28no—
1535D4—28no—
1536D4—684no—
1537D4—684no—
1538D4—684no—
1539D4—1362no—
1540D4—1362no—
1541C2×C4—28no—
1542C2×C4—28no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—44no—
1567C2×C4—44no—
1568C2×C4—44no—
1569C2×C4—44no—
1570C2×C4—44no—
1571C2×C4—44no—
1572C2×C4—44no—
1573C2×C4—44no—
1574C2×C4—44no—
1575C2×C4—44no—
1576C2×C4—44no—
1577C2×C4—341no—
1578C2×C4—341no—
1579C2×C4—341no—
1580C2×C4—341no—
1581C2×C4—341no—
1582C2×C4—341no—
1583C2×C4—341no—
1584C2×C4—341no—
1585C2×C4—341no—
1586C2×C4—341no—
1587C2×C4—341no—
1588C2×C4—341no—
1589C2×C4—341no—
1590C2×C4—341no—
1591C2×C4—341no—
1592C2×C4—341no—
1593C2×C4—341no—
1594C2×C4—341no—
1595C2×C4—341no—
1596C2×C4—341no—
1597C2×C4—341no—
1598C2×C4—341no—
1599C2×C4—341no—
1600C2×C4—341no—
1601C2×C4—341no—
1602C2×C4—341no—
1603C2×C4—341no—
1604C2×C4—341no—
1605C2×C4—341no—
1606C2×C4—341no—
1607C2×C4—341no—
1608C2×C4—341no—
1609C2×C4—341no—
1610C2×C4—341no—
1611C2×C4—341no—
1612C2×C4—341no—
1613C2×C4—341no—
1614C2×C4—341no—
1615C2×C4—341no—
1616C2×C4—341no—
1617C2×C4—341no—
1618C2×C4—341no—
1619C2×C4—341no—
1620C2×C4—341no—
1621C2×C4—341no—
1622C2×C4—684no—
1623C2×C4—684no—
1624C2×C4—1362no—
1625C2×C4—1362no—
1626C2×C4—1362no—
1627C2×C4C2×#6325212yes—
1628C2×C4#1058769112yes—
1629C2×C4C22×C22⋊D1712yes—
1630C2×C4C22×C22⋊D1712yes—
1631C2×C4C22×C22⋊D1712yes—
1632C2×C4C22×C22⋊D1712yes—
1633C2×C4C22×C22⋊D1712yes—
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—22no—
1638C22—22no—
1639C22—22no—
1640C22—22no—
1641C22—22no—
1642C22—22no—
1643C22—22no—
1644C22—22no—
1645C22—22no—
1646C22—22no—
1647C22—22no—
1648C22—22no—
1649C22—22no—
1650C22—22no—
1651C22—22no—
1652C22—22no—
1653C22—22no—
1654C22—22no—
1655C22—416no—
1656C22—416no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—41no—
1665C22—41no—
1666C22—41no—
1667C22—41no—
1668C22—41no—
1669C22—681no—
1670C22—681no—
1671C22—681no—
1672C22—681no—
1673C22—681no—
1674C22—681no—
1675C22—681no—
1676C22#1176332014yes—
1677C22#1176340114yescomplemented
1678C22C23×C22⋊D1711yescharacteristic
1679C22C22×#6325211yescharacteristic
1680C22C22×#6325211yescharacteristic
1681C22C2×#1058769111yescharacteristic
1682C22C2×#1058769111yescharacteristic
1683C22C2×#1058769711yescharacteristic
1684C22#1176364511yescharacteristic
1685C4—22no—
1686C4—22no—
1687C4—22no—
1688C4—22no—
1689C4—22no—
1690C4—22no—
1691C4—22no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—681no—
1696C4—681no—
1697C4—681no—
1698C4—681no—
1699C4—681no—
1700C4—681no—
1701C4—681no—
1702C4—681no—
1703C4—681no—
1704C4—681no—
1705C4—681no—
1706C4—681no—
1707C4—681no—
1708C4—681no—
1709C4—681no—
1710C2—24no—
1711C2—24no—
1712C2—42no—
1713C2—42no—
1714C2—42no—
1715C2—1361no—
1716C2C2×#1176332011yescharacteristic
1717C2C2×#1176340111yescharacteristic
1718C2#1454219311yescharacteristic
1719C2#1454241911yescharacteristic
1720C2#1454246411yescharacteristic
1721C2#1454272411yescharacteristic
1722C2#1454283311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D17
commutator, socle, cosocleC23×C17C25
FittingC22×C4×D4×C17C2
prime radical#14532158C2
hypercenterC22×C4×D4D17
hypocenterC17#34991
LCSG ▷ C23×C17 ▷ C17
UCSC1 ◁ C23 ◁ C22×C4×D4

Complements

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

NH ≅ G/Ntype
1. C2×#11763401C2semidirect
2. #14537099C2semidirect
3. #14537094C2semidirect
4. #14537076C2semidirect
5. #14537071C2semidirect
6. #14534701C2semidirect
7. #14534679C2semidirect
8. #14534652C2semidirect
9. #14534621C2semidirect
10. #14533024C2semidirect
11. #14532919C2semidirect
12. #14532814C2semidirect
13. #14532775C2semidirect
14. #14532730C2semidirect
15. #14532661C2semidirect
16. #14532593C2semidirect
17. #14532587C2semidirect
18. #14532513C2semidirect
19. #14532445C2semidirect
20. #14532329C2semidirect
21. #14532255C2semidirect
22. #14532246C2semidirect
23. #14532174C2semidirect
25. #14532107C2semidirect
26. #14531482C2semidirect
27. #14531449C2semidirect
28. #14531417C2semidirect
29. C4×#10587639C2semidirect
30. C2×#11762682C2semidirect
31. C22×C4×D4×C17C2semidirect
33. C2×#10587562C22semidirect
34. C2×#10587565C22semidirect
35. C2×#10587556C22semidirect
36. C2×#10587575C22semidirect
37. C2×#10587572C22semidirect
38. C2×#10587615C22semidirect
39. C2×#10587615C22semidirect
40. C2×#10587569C22semidirect
44. C2×#10587610C22semidirect
45. C2×#10587610C22semidirect
46. C2×#10587582C22semidirect
47. C2×#10587564C22semidirect
53. C2×C4×C22⋊D17C22semidirect
54. C2×C4×C22⋊D17C22semidirect
55. C22×#63225C22semidirect
56. C22×#63225C22semidirect
59. #11762747C22semidirect
60. #11762745C22semidirect
61. #11762745C22semidirect
62. #11762744C22semidirect
63. #11762742C22semidirect
64. #11762740C22semidirect
65. #11762740C22semidirect
66. #11762739C22semidirect
67. #11762737C22semidirect
68. #11762737C22semidirect
69. #11762737C22semidirect
70. #11762734C22semidirect
71. #11762734C22semidirect
72. #11762734C22semidirect
73. #11762732C22semidirect
74. #11762732C22semidirect
75. #11762732C22semidirect
76. #11762731C22semidirect
77. #11762729C22semidirect
78. #11762725C22semidirect
79. #11762725C22semidirect
80. #11762725C22semidirect
81. #11762724C22semidirect
88. #11762721C22semidirect
91. #11762707C22semidirect
92. #11762707C22semidirect
93. #11762704C22semidirect
94. #11762704C22semidirect
95. #11762703C22semidirect
96. #11762703C22semidirect
97. #11762702C22semidirect
98. #11762702C22semidirect
99. #11762700C22semidirect
100. #11762700C22semidirect
101. #11762700C22semidirect
102. #11762697C22semidirect
103. #11762695C22semidirect
104. #11762695C22semidirect
105. #11762693C22semidirect
106. #11762693C22semidirect
107. #11762693C22semidirect
108. #11762693C22semidirect
109. #11762693C22semidirect
110. #11762693C22semidirect
111. #11762693C22semidirect
112. #11762690C22semidirect
121. #11762688C22semidirect
122. #11762688C22semidirect
123. #11762688C22semidirect
124. #11762688C22semidirect
125. #11762686C22semidirect
126. #11762685C22semidirect
127. #11762684C22semidirect
128. #11762684C22semidirect
139. #11762682C22semidirect
140. #11762682C22semidirect
141. #11762682C22semidirect
142. #11762682C22semidirect
143. #11762682C22semidirect
144. #11762682C22semidirect
145. #11762682C22semidirect
146. #11762682C22semidirect
147. #11762682C22semidirect
148. #11762682C22semidirect
149. #11762682C22semidirect
150. #11762682C22semidirect
151. #11762681C22semidirect
152. #11762680C22semidirect
153. #11762677C22semidirect
154. #11762675C22semidirect
155. #11762672C22semidirect
156. #11762672C22semidirect
157. #11762670C22semidirect
161. #11762669C22semidirect
162. #11762669C22semidirect
163. #11762667C22semidirect
169. C4×C22⋊Dic17C22semidirect
170. C4×C22⋊Dic17C22semidirect
171. C2×#10587502C22semidirect
172. C2×#10587502C22semidirect
235. C4×D4×C17D4semidirect
774. C22×C4×D4D17semidirect
840. C22×C17#539semidirect
1118. C4×D4C22⋊D17semidirect
1252. C17#34991semidirect
1677. C22#11763401semidirect

Maximal subgroups

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

subgroupindex
C2×#117634012
#145370992
#145370942
#145370762
#145370712
#145347012
#145346792
#145346522
#145346212
#145330242
#145329192
#145328142
#145327752
#145327302
#145326612
#145325932
#145325872
#145325132
#145324452
#145323292
#145322552
#145322462
#145321742
#145321582
#145321072
#145314822
#145314492
#145314172
C4×#105876392
C2×#117626822
C22×C4×D4×C172
#3499117