Finite Group Databasebeta

← #17206994

Subgroups — #17206994

Order 4352.

3146 conjugacy classes of subgroups.

The subgroup lattice has 1872 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11763396C211yesmaximal, characteristic, complemented
2C22×D4×Dic17C211yesmaximal, characteristic, complemented
3#14537101C211yesmaximal, characteristic, complemented
4#14537081C211yesmaximal, characteristic, complemented
5#14537078C211yesmaximal, characteristic, complemented
6#14537064C211yesmaximal, characteristic, complemented
7#14534680C211yesmaximal, characteristic, complemented
8#14534667C211yesmaximal, characteristic, complemented
9#14534635C211yesmaximal, characteristic, complemented
10#14534622C211yesmaximal, characteristic, complemented
11#14533042C211yesmaximal, characteristic, complemented
12#14532907C211yesmaximal, characteristic, complemented
13#14532828C211yesmaximal, characteristic, complemented
14#14532714C211yesmaximal, characteristic, complemented
15#14532669C211yesmaximal, characteristic, complemented
16#14532669C211yesmaximal, characteristic, complemented
17#14532612C211yesmaximal, characteristic, complemented
18#14532530C211yesmaximal, characteristic, complemented
19#14532517C211yesmaximal, characteristic, complemented
20#14532445C211yesmaximal, characteristic, complemented
21#14532326C211yesmaximal, characteristic, complemented
22#14532324C211yesmaximal, characteristic, complemented
23#14532244C211yesmaximal, characteristic, complemented
24#14532159C211yesmaximal, characteristic, complemented
25#14532094C211yesmaximal, characteristic, complemented
26#14531489C211yesmaximal, characteristic, complemented
27#14531447C211yesmaximal, characteristic, complemented
28#14531410C211yesmaximal, characteristic, complemented
29#120×Dic17C211yesmaximal, characteristic, complemented
30C2×#11762686C211yesmaximal, characteristic, complemented
31C17×#2410C211yesmaximal, characteristic, complemented
32C23×C22⋊D17C2211yescharacteristic
33C24×Dic17C2211yescharacteristic
34C24×Dic17C2211yescharacteristic, complemented
35#11763396—28no—
36C2×#10587584C2211yescharacteristic, complemented
37C2×#10587584C2211yescharacteristic, complemented
38C2×#10587571C2211yescharacteristic, complemented
39C2×#10587571C2211yescharacteristic, complemented
40C2×#10587572C2211yescharacteristic, complemented
41C2×#10587572C2211yescharacteristic, complemented
42C2×#10587572C2211yescharacteristic, complemented
43C2×#10587610C2211yescharacteristic, complemented
44C2×#10587564C2211yescharacteristic, complemented
45C2×#10587625C2211yescharacteristic
46C2×#10587625C2211yescharacteristic
47C2×#10587625C2211yescharacteristic, complemented
48C2×#10587625C2211yescharacteristic, complemented
49C2×#10587625C2211yescharacteristic, complemented
50C2×#10587639C2211yescharacteristic
51C2×#10587639C2211yescharacteristic
52C2×#10587623C2211yescharacteristic
53C2×#10587623C2211yescharacteristic
54C2×#10587623C2211yescharacteristic, complemented
55C2×D4×Dic17—28no—
56C2×D4×Dic17C2211yescharacteristic
57C2×D4×Dic17C2211yescharacteristic
58C2×D4×Dic17C2211yescharacteristic
59C2×D4×Dic17C2211yescharacteristic
60C2×D4×Dic17C2211yescharacteristic, complemented
61C2×D4×Dic17C2211yescharacteristic, complemented
62C2×D4×Dic17C2211yescharacteristic, complemented
63C2×D4×Dic17C2211yescharacteristic, complemented
64C2×D4×Dic17C2211yescharacteristic, complemented
65C2×D4×Dic17C2211yescharacteristic, complemented
66C2×D4×Dic17C2211yescharacteristic, complemented
67C22×C4⋊Dic17C2211yescharacteristic, complemented
68C22×C22⋊Dic17C2211yescharacteristic
69C22×C22⋊Dic17C2211yescharacteristic, complemented
70C22×#63227C2211yescharacteristic, complemented
71C22×#63227C2211yescharacteristic, complemented
72C22×C4×Dic17C2211yescharacteristic, complemented
73#11762751C2211yescharacteristic, complemented
74#11762748C2211yescharacteristic, complemented
75#11762746C2211yescharacteristic, complemented
76#11762745C2211yescharacteristic, complemented
77#11762741C2211yescharacteristic, complemented
78#11762737C2211yescharacteristic, complemented
79#11762736C2211yescharacteristic, complemented
80#11762734C2211yescharacteristic, complemented
81#11762732C2211yescharacteristic, complemented
82#11762732C2211yescharacteristic, complemented
83#11762732C2211yescharacteristic, complemented
84#11762731C2211yescharacteristic, complemented
85#11762725C2211yescharacteristic, complemented
86#11762725C2211yescharacteristic, complemented
87#11762725C2211yescharacteristic, complemented
88#11762724C2211yescharacteristic, complemented
89#11762724C2211yescharacteristic, complemented
90#11762724C2211yescharacteristic, complemented
91#11762723C2211yescharacteristic, complemented
92#11762721C2211yescharacteristic, complemented
93#11762721C2211yescharacteristic, complemented
94#11762717C2211yescharacteristic
95#11762717C2211yescharacteristic
96#11762717C2211yescharacteristic
97#11762717C2211yescharacteristic
98#11762717C2211yescharacteristic, complemented
99#11762717C2211yescharacteristic, complemented
100#11762717C2211yescharacteristic, complemented
101#11762713C2211yescharacteristic, complemented
102#11762709C2211yescharacteristic, complemented
103#11762709C2211yescharacteristic, complemented
104#11762709C2211yescharacteristic, complemented
105#11762703C2211yescharacteristic, complemented
106#11762702C2211yescharacteristic, complemented
107#11762702C2211yescharacteristic, complemented
108#11762701C2211yescharacteristic, complemented
109#11762701C2211yescharacteristic, complemented
110#11762701C2211yescharacteristic, complemented
111#11762701C2211yescharacteristic, complemented
112#11762699C2211yescharacteristic, complemented
113#11762698C2211yescharacteristic, complemented
114#11762698C2211yescharacteristic, complemented
115#11762697C2211yescharacteristic, complemented
116#11762697C2211yescharacteristic, complemented
117#11762695C2211yescharacteristic, complemented
118#11762695C2211yescharacteristic, complemented
119#11762694C2211yescharacteristic, complemented
120#11762692C2211yescharacteristic, complemented
121#11762692C2211yescharacteristic, complemented
122#11762690C2211yescharacteristic, complemented
123#11762689C2211yescharacteristic
124#11762689C2211yescharacteristic
125#11762689C2211yescharacteristic, complemented
126#11762689C2211yescharacteristic, complemented
127#11762689C2211yescharacteristic, complemented
128#11762689C2211yescharacteristic, complemented
129#11762689C2211yescharacteristic, complemented
130#11762689C2211yescharacteristic, complemented
131#11762689C2211yescharacteristic, complemented
132#11762688C2211yescharacteristic
133#11762688C2211yescharacteristic
134#11762686C2211yescharacteristic
135#11762686C2211yescharacteristic
136#11762686C2211yescharacteristic
137#11762686C2211yescharacteristic
138#11762686C2211yescharacteristic
139#11762686C2211yescharacteristic
140#11762686C2211yescharacteristic, complemented
141#11762686C2211yescharacteristic, complemented
142#11762686C2211yescharacteristic, complemented
143#11762686C2211yescharacteristic, complemented
144#11762686C2211yescharacteristic, complemented
145#11762686C2211yescharacteristic, complemented
146#11762686C2211yescharacteristic, complemented
147#11762686C2211yescharacteristic, complemented
148#11762684C2211yescharacteristic, complemented
149#11762684C2211yescharacteristic, complemented
150#11762684C2211yescharacteristic, complemented
151#11762684C2211yescharacteristic, complemented
152#11762684C2211yescharacteristic, complemented
153#11762684C2211yescharacteristic, complemented
154#11762684C2211yescharacteristic, complemented
155#11762682C2211yescharacteristic, complemented
156#11762682C2211yescharacteristic, complemented
157#11762681C2211yescharacteristic, complemented
158#11762681C2211yescharacteristic, complemented
159#11762676C2211yescharacteristic, complemented
160#11762673C2211yescharacteristic, complemented
161#11762670C2211yescharacteristic, complemented
162#11762670C2211yescharacteristic, complemented
163#11762669C2211yescharacteristic, complemented
164#11762667C2211yescharacteristic, complemented
165#11762667C2211yescharacteristic, complemented
166#11762667C2211yescharacteristic, complemented
167#11762665C2211yescharacteristic
168#11762664C2211yescharacteristic, complemented
169C22⋊C4×Dic17C2211yescharacteristic, complemented
170C22⋊C4×Dic17C2211yescharacteristic, complemented
171C22⋊C4×Dic17C2211yescharacteristic, complemented
172C2×#10587502C2211yescharacteristic, complemented
173C2×#10587502C2211yescharacteristic, complemented
174C23×D4×C17C2211yescharacteristic
175C2×C17×#121C2211yescharacteristic
176C2×C17×#121C2211yescharacteristic
177C2×C17×#120C2211yescharacteristic
178C2×C17×#120C2211yescharacteristic, complemented
179C22×C22⋊C4×C17C2211yescharacteristic
180C17×#394C2211yescharacteristic, complemented
181C17×#394C2211yescharacteristic, complemented
182C17×#392C2211yescharacteristic, complemented
183C17×#392C2211yescharacteristic, complemented
184C17×#386C2211yescharacteristic
185C17×#386C2211yescharacteristic
186C17×#386C2211yescharacteristic, complemented
187C17×#385C2211yescharacteristic, complemented
188C17×#379C2211yescharacteristic, complemented
189C25×C17C2311yescharacteristic
190C25×C17C2311yescharacteristic
191C24×D17C2311yescharacteristic
192C22×D4×C17—24no—
193C22×D4×C17—24no—
194C22×D4×C17—24no—
195C22×D4×C17C2311yescharacteristic
196C22×D4×C17C2311yescharacteristic
197C22×D4×C17C2311yescharacteristic
198C22×D4×C17C2311yescharacteristic
199C22×D4×C17C2311yescharacteristic
200C22×D4×C17C2311yescharacteristic
201C22×D4×C17C2311yescharacteristic
202C22×D4×C17C2311yescharacteristic
203C22×D4×C17C2311yescharacteristic
204C23×C4×C17C2311yescharacteristic
205C23×C4×C17C2311yescharacteristic
206C23×C4×C17C2311yescharacteristic
207C22×C22⋊D17—24no—
208C22×C22⋊D17—42no—
209C22×C22⋊D17—42no—
210C22×C22⋊D17C2311yescharacteristic
211C22×C22⋊D17C2311yescharacteristic
212C22×C22⋊D17C2311yescharacteristic
213C22×C22⋊D17C2311yescharacteristic
214C22×C22⋊D17C2311yescharacteristic
215C22×C22⋊D17C2311yescharacteristic
216C22×C22⋊D17C2311yescharacteristic
217C22×C22⋊D17C2311yescharacteristic
218C22×C22⋊D17C2311yescharacteristic
219C22×C22⋊D17C2311yescharacteristic
220C23×Dic17—24no—
221C23×Dic17—24no—
222C23×Dic17—42no—
223C23×Dic17—42no—
224C23×Dic17—42no—
225C23×Dic17—42no—
226C23×Dic17C2311yescharacteristic
227C23×Dic17C2311yescharacteristic
228C23×Dic17C2311yescharacteristic
229C23×Dic17C2311yescharacteristic
230C23×Dic17C2311yescharacteristic
231C23×Dic17C2311yescharacteristic
232C23×Dic17C2311yescharacteristic
233C23×Dic17C2311yescharacteristic
234C23×Dic17C2311yescharacteristic
235C23×Dic17C2311yescharacteristic
236C23×Dic17C2311yescharacteristic
237C23×Dic17C2311yescharacteristic
238C23×Dic17C2311yescharacteristic
239C23×Dic17C2311yescharacteristic
240C22×Dic34C2311yescharacteristic
241C17×#121—24no—
242C17×#121—24no—
243C17×#120—24no—
244C17×#120—42no—
245C2×C4⋊C4×C17C2311yescharacteristic
246C2×C4⋊C4×C17C2311yescharacteristic
247C2×C22⋊C4×C17—42no—
248C2×C22⋊C4×C17C2311yescharacteristic
249C2×C22⋊C4×C17C2311yescharacteristic
250C2×C22⋊C4×C17C2311yescharacteristic
251C2×C22⋊C4×C17C2311yescharacteristic
252C2×C22⋊C4×C17C2311yescharacteristic
253C2×C22⋊C4×C17C2311yescharacteristic
254C2×C22⋊C4×C17C2311yescharacteristic
255C2×C22⋊C4×C17C2311yescharacteristic
256C2×C22⋊C4×C17C2311yescharacteristic
257C2×C22⋊C4×C17C2311yescharacteristic
258C2×C22⋊C4×C17C2311yescharacteristic
259C2×C22⋊C4×C17C2311yescharacteristic
260C2×C22⋊C4×C17C2311yescharacteristic
261C2×C22⋊C4×C17C2311yescharacteristic
262C2×C22⋊C4×C17C2311yescharacteristic
263#10587639—42no—
264#10587639—42no—
265C2×C22⋊Dic17—24no—
266C2×C22⋊Dic17—24no—
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
290#10587625—24no—
291#10587625—24no—
292#10587625—42no—
293#10587625—42no—
294#10587625—42no—
295#10587623—24no—
296#10587623—24no—
297#10587623—24no—
298D4×Dic17—24no—
299D4×Dic17—24no—
300D4×Dic17—24no—
301D4×Dic17—24no—
302D4×Dic17—24no—
303D4×Dic17—24no—
304D4×Dic17—24no—
305D4×Dic17—24no—
306D4×Dic17—42no—
307D4×Dic17—42no—
308D4×Dic17D418yescomplemented
309C2×#63227—24no—
310C2×#63227—42no—
311C2×#63227C2311yescharacteristic
312C2×#63227C2311yescharacteristic
313C2×#63227C2311yescharacteristic
314C2×#63227C2311yescharacteristic
315C2×#63227C2311yescharacteristic
316C2×#63227C2311yescharacteristic
317C2×#63227C2311yescharacteristic
318C2×#63227C2311yescharacteristic
319C2×#63227C2311yescharacteristic
320C2×#63227C2311yescharacteristic
321C2×#63227C2311yescharacteristic
322C2×#63227C2311yescharacteristic
323C2×#63227C2311yescharacteristic
324C2×#63227C2311yescharacteristic
325C2×#63227C2311yescharacteristic
326C2×#63227C2311yescharacteristic
327C2×#63227C2311yescharacteristic
328C2×#63227C2311yescharacteristic
329C2×C4⋊Dic17—24no—
330C2×C4⋊Dic17C2311yescharacteristic
331C2×C4⋊Dic17C2311yescharacteristic
332C2×C4⋊Dic17C2311yescharacteristic
333C2×C4⋊Dic17C2311yescharacteristic
334C2×C4⋊Dic17C2311yescharacteristic
335C2×C4⋊Dic17C2311yescharacteristic
336C2×C4⋊Dic17C2311yescharacteristic
337C2×C4⋊Dic17C2311yescharacteristic
338C2×C4⋊Dic17C2311yescharacteristic
339C2×C4⋊Dic17C2311yescharacteristic
340#10587610—24no—
341C2×#63225C2311yescharacteristic
342C2×#63225C2311yescharacteristic
343C2×#63225C2311yescharacteristic
344C2×#63225C2311yescharacteristic
345C2×#63225C2311yescharacteristic
346C2×#63225C2311yescharacteristic
347C2×#63225C2311yescharacteristic
348C2×#63225C2311yescharacteristic
349C2×C4×Dic17—24no—
350C2×C4×Dic17C2311yescharacteristic
351C2×C4×Dic17C2311yescharacteristic
352C2×C4×Dic17C2311yescharacteristic
353C2×C4×Dic17C2311yescharacteristic
354C2×C4×Dic17C2311yescharacteristic
355C2×C4×Dic17C2311yescharacteristic
356C2×C4×Dic17C2311yescharacteristic
357#10587584—24no—
358#10587584—24no—
359#10587572—24no—
360#10587572—24no—
361#10587572—42no—
362#10587571—24no—
363#10587571—24no—
364#10587564—42no—
365C17×#95C2311yescharacteristic
366C17×#95C2311yescharacteristic
367C17×#95C2311yescharacteristic
368C17×#95C2311yescharacteristic
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
391#10587502C2311yescharacteristic
392#10587502C2311yescharacteristic
393#10587502C2311yescharacteristic
394#10587502C2311yescharacteristic
395#10587502C2311yescharacteristic
396#10587502C2311yescharacteristic
397C24×C17—22no—
398C24×C17—22no—
399C24×C17—22no—
400C24×C17—22no—
401C24×C17—22no—
402C24×C17—22no—
403C24×C17—22no—
404C24×C17—22no—
405C24×C17—22no—
406C24×C17—41no—
407C24×C17—41no—
408C24×C17—41no—
409C24×C17—41no—
410C24×C17#4114yes—
411C24×C17C2411yescharacteristic
412C24×C17C2411yescharacteristic
413C24×C17C2411yescharacteristic
414C24×C17C2411yescharacteristic
415C24×C17C2411yescharacteristic
416C24×C17C2411yescharacteristic
417C23×D17—22no—
418C23×D17—22no—
419C23×D17—22no—
420C23×D17—41no—
421C23×D17—41no—
422C23×D17—41no—
423C23×D17—41no—
424C23×D17C2411yescharacteristic
425C23×D17C2411yescharacteristic
426C2×D4×C17—232no—
427C2×D4×C17—22no—
428C2×D4×C17—22no—
429C2×D4×C17—22no—
430C2×D4×C17—22no—
431C2×D4×C17—22no—
432C2×D4×C17—22no—
433C2×D4×C17—22no—
434C2×D4×C17—22no—
435C2×D4×C17—22no—
436C2×D4×C17—22no—
437C2×D4×C17—22no—
438C2×D4×C17—22no—
439C2×D4×C17—22no—
440C2×D4×C17—22no—
441C2×D4×C17—22no—
442C2×D4×C17—22no—
443C2×D4×C17—22no—
444C2×D4×C17—22no—
445C2×D4×C17—22no—
446C2×D4×C17—41no—
447C2×D4×C17—41no—
448C2×D4×C17—41no—
449C2×D4×C17—41no—
450C2×D4×C17—41no—
451C2×D4×C17—41no—
452C2×D4×C17C2×D414yes—
453C2×D4×C17#4114yes—
454C22×C4×C17—22no—
455C22×C4×C17—22no—
456C22×C4×C17—22no—
457C22×C4×C17—22no—
458C22×C4×C17—22no—
459C22×C4×C17—41no—
460C22×C4×C17—41no—
461C22×C4×C17—41no—
462C22×C4×C17—41no—
463C22×C4×C17C2411yescharacteristic
464C22×C4×C17C2411yescharacteristic
465C22×C4×C17C2411yescharacteristic
466C22×C4×C17C2411yescharacteristic
467C22×C4×C17C2411yescharacteristic
468C22×C4×C17C2411yescharacteristic
469C22×C4×C17C2411yescharacteristic
470C22×C4×C17C2411yescharacteristic
471C22×C4×C17C2411yescharacteristic
472C2×C22⋊D17—22no—
473C2×C22⋊D17—22no—
474C2×C22⋊D17—22no—
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—22no—
485C2×C22⋊D17—22no—
486C2×C22⋊D17—41no—
487C2×C22⋊D17—41no—
488C2×C22⋊D17—41no—
489C2×C22⋊D17—41no—
490C2×C22⋊D17—41no—
491C2×C22⋊D17—41no—
492C2×C22⋊D17—41no—
493C2×C22⋊D17—41no—
494C2×C22⋊D17—41no—
495C2×C22⋊D17—41no—
496C2×C22⋊D17—41no—
497C2×C22⋊D17—41no—
498C2×C22⋊D17—41no—
499C2×C22⋊D17—41no—
500C2×C22⋊D17—41no—
501C2×C22⋊D17—41no—
502C2×C22⋊D17—416no—
503C22×Dic17—22no—
504C22×Dic17—22no—
505C22×Dic17—22no—
506C22×Dic17—22no—
507C22×Dic17—22no—
508C22×Dic17—22no—
509C22×Dic17—22no—
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—22no—
523C22×Dic17—22no—
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—
536C22×Dic17—41no—
537C22×Dic17—41no—
538C22×Dic17—41no—
539C22×Dic17—41no—
540C22×Dic17—41no—
541C22×Dic17—41no—
542C22×Dic17—41no—
543C22×Dic17—416no—
544C22×Dic17—416no—
545C22×Dic17C2×D414yes—
546C22×Dic17C2×D414yescomplemented
547C22×Dic17C2411yescharacteristic
548C22×Dic17C2411yescharacteristic
549C22×Dic17C2411yescharacteristic
550C22×Dic17C2411yescharacteristic
551C22×Dic17C2411yescharacteristic
552C22×Dic17C2411yescharacteristic
553C22×Dic17C2411yescharacteristic
554C22×Dic17C2411yescharacteristic
555C22×Dic17C2411yescharacteristic
556C22×Dic17C2411yescharacteristic
557C22×Dic17C2411yescharacteristic
558C22×Dic17C2411yescharacteristic
559C22×Dic17C2411yescharacteristic
560C22×Dic17C2411yescharacteristic
561C2×Dic34—22no—
562C2×Dic34—41no—
563C2×Dic34—41no—
564C4⋊C4×C17—22no—
565C4⋊C4×C17—22no—
566C22⋊C4×C17—22no—
567C22⋊C4×C17—22no—
568C22⋊C4×C17—22no—
569C22⋊C4×C17—22no—
570C22⋊C4×C17—22no—
571C22⋊C4×C17—22no—
572C22⋊C4×C17—22no—
573C22⋊C4×C17—22no—
574C22⋊C4×C17—22no—
575C22⋊C4×C17—41no—
576C22⋊C4×C17—41no—
577C22⋊C4×C17—41no—
578C22⋊C4×C17—41no—
579C22⋊C4×C17—41no—
580C22⋊C4×C17—41no—
581C22⋊Dic17—22no—
582C22⋊Dic17—22no—
583C22⋊Dic17—22no—
584C22⋊Dic17—22no—
585C22⋊Dic17—22no—
586C22⋊Dic17—22no—
587C22⋊Dic17—22no—
588C22⋊Dic17—22no—
589C22⋊Dic17—22no—
590C22⋊Dic17—22no—
591C22⋊Dic17—22no—
592C22⋊Dic17—22no—
593C22⋊Dic17—41no—
594C22⋊Dic17—41no—
595C22⋊Dic17—41no—
596C22⋊Dic17—41no—
597C22⋊Dic17—41no—
598C22⋊Dic17—41no—
599C22⋊Dic17—41no—
600C22⋊Dic17—41no—
601C22⋊Dic17—41no—
602C22⋊Dic17C2×D414yes—
603C22⋊Dic17C2×D414yescomplemented
604#63227—22no—
605#63227—22no—
606#63227—22no—
607#63227—22no—
608#63227—22no—
609#63227—22no—
610#63227—22no—
611#63227—22no—
612#63227—22no—
613#63227—22no—
614#63227—22no—
615#63227—22no—
616#63227—41no—
617#63227—41no—
618#63227—41no—
619#63227—41no—
620#63227—41no—
621#63227—41no—
622C4⋊Dic17—22no—
623C4⋊Dic17—22no—
624C4⋊Dic17—22no—
625C4⋊Dic17—22no—
626C4⋊Dic17—22no—
627C4⋊Dic17—22no—
628C4⋊Dic17—41no—
629C4⋊Dic17—41no—
630C4⋊Dic17—41no—
631C4⋊Dic17C2×D414yescomplemented
632#63225—22no—
633#63225—22no—
634#63225—41no—
635#63225—41no—
636#63225—41no—
637#63225—41no—
638#63225—41no—
639#63225—41no—
640C4×Dic17—22no—
641C4×Dic17—22no—
642C4×Dic17—22no—
643C4×Dic17—22no—
644C4×Dic17—41no—
645C4×Dic17—41no—
646C4×Dic17C2×D414yescomplemented
647#34990—171nomaximal, Sylow
648C23×C17—21no—
649C23×C17—21no—
650C23×C17—21no—
651C23×C17—21no—
652C23×C17—21no—
653C23×C17—21no—
654C23×C17—21no—
655C23×C17—21no—
656C23×C17—28no—
657C23×C17—28no—
658C23×C17—28no—
659C23×C17—21no—
660C23×C17—21no—
661C23×C17—21no—
662C23×C17—21no—
663C23×C17—21no—
664C23×C17—21no—
665C23×C17—21no—
666C23×C17—21no—
667C23×C17—21no—
668C23×C17—21no—
669C23×C17—21no—
670C23×C17—21no—
671C23×C17—21no—
672C23×C17—21no—
673C23×C17—21no—
674C23×C17—21no—
675C23×C17—21no—
676C23×C17—21no—
677C23×C17—21no—
678C23×C17—21no—
679C23×C17—21no—
680C23×C17—21no—
681C23×C17—21no—
682C23×C17—21no—
683C23×C17—21no—
684C23×C17—44no—
685C23×C17—44no—
686C23×C17—44no—
687C23×C17—44no—
688C23×C17—44no—
689C23×C17—44no—
690C23×C17—44no—
691C23×C17—44no—
692C23×C17—44no—
693C23×C17—44no—
694C23×C17—44no—
695C23×C17C22×D412yes—
696C23×C17C22×D412yes—
697C23×C17C2×#4112yes—
698C23×C17C2×#4112yes—
699C23×C17C2×#4112yes—
700C23×C17C2×#4112yes—
701C23×C17C2×#4112yes—
702C23×C17H(5,𝔽2)12yes—
703C23×C17H(5,𝔽2)12yes—
704C23×C17C2511yescharacteristic
705C22×D17—21no—
706C22×D17—21no—
707C22×D17—21no—
708C22×D17—21no—
709C22×D17—21no—
710C22×D17—21no—
711C22×D17—21no—
712C22×D17—21no—
713C22×D17—21no—
714C22×D17—21no—
715C22×D17—21no—
716C22×D17—21no—
717C22×D17—21no—
718C22×D17—21no—
719C22×D17—44no—
720C22×D17—44no—
721C22×D17—44no—
722C22×D17—82no—
723C22×D17—82no—
724C22×D17—82no—
725C22×D17—82no—
726D4×C17—28no—
727D4×C17—28no—
728D4×C17—28no—
729D4×C17—28no—
730D4×C17—44no—
731D4×C17—44no—
732D4×C17—44no—
733D4×C17—82no—
734D4×C17—82no—
735C2×C4×C17—28no—
736C2×C4×C17—21no—
737C2×C4×C17—21no—
738C2×C4×C17—21no—
739C2×C4×C17—21no—
740C2×C4×C17—21no—
741C2×C4×C17—21no—
742C2×C4×C17—21no—
743C2×C4×C17—21no—
744C2×C4×C17—21no—
745C2×C4×C17—21no—
746C2×C4×C17—21no—
747C2×C4×C17—21no—
748C2×C4×C17—21no—
749C2×C4×C17—21no—
750C2×C4×C17—21no—
751C2×C4×C17—21no—
752C2×C4×C17—21no—
753C2×C4×C17—21no—
754C2×C4×C17—21no—
755C2×C4×C17—21no—
756C2×C4×C17—21no—
757C2×C4×C17—21no—
758C2×C4×C17—21no—
759C2×C4×C17—21no—
760C2×C4×C17—21no—
761C2×C4×C17—82no—
762C2×C4×C17—82no—
763C2×C4×C17C22×D412yes—
764C2×C4×C17C2×#4112yes—
765C22⋊D17—44no—
766C22⋊D17—44no—
767C22⋊D17—44no—
768C22⋊D17—44no—
769C22⋊D17—82no—
770C22⋊D17—82no—
771C22⋊D17—82no—
772C22⋊D17—82no—
773C22⋊D17—82no—
774C22⋊D17—82no—
775C2×Dic17—28no—
776C2×Dic17—21no—
777C2×Dic17—21no—
778C2×Dic17—21no—
779C2×Dic17—21no—
780C2×Dic17—21no—
781C2×Dic17—21no—
782C2×Dic17—21no—
783C2×Dic17—21no—
784C2×Dic17—21no—
785C2×Dic17—21no—
786C2×Dic17—21no—
787C2×Dic17—21no—
788C2×Dic17—21no—
789C2×Dic17—21no—
790C2×Dic17—21no—
791C2×Dic17—21no—
792C2×Dic17—21no—
793C2×Dic17—21no—
794C2×Dic17—21no—
795C2×Dic17—21no—
796C2×Dic17—21no—
797C2×Dic17—21no—
798C2×Dic17—21no—
799C2×Dic17—21no—
800C2×Dic17—21no—
801C2×Dic17—21no—
802C2×Dic17—21no—
803C2×Dic17—21no—
804C2×Dic17—21no—
805C2×Dic17—21no—
806C2×Dic17—21no—
807C2×Dic17—21no—
808C2×Dic17—21no—
809C2×Dic17—21no—
810C2×Dic17—21no—
811C2×Dic17—21no—
812C2×Dic17—21no—
813C2×Dic17—44no—
814C2×Dic17—44no—
815C2×Dic17—44no—
816C2×Dic17—44no—
817C2×Dic17—44no—
818C2×Dic17—44no—
819C2×Dic17—44no—
820C2×Dic17—44no—
821C2×Dic17—44no—
822C2×Dic17—44no—
823C2×Dic17—44no—
824C2×Dic17—44no—
825C2×Dic17—82no—
826C2×Dic17C22×D412yes—
827C2×Dic17C22×D412yes—
828C2×Dic17C22×D412yes—
829C2×Dic17C22×D412yes—
830C2×Dic17H(5,𝔽2)12yes—
831Dic34—82no—
832C2×#538—171no—
833C22×C4×D4—171no—
834#2852—171no—
835#2850—171no—
836#2849—171no—
837#2847—171no—
838#2636—171no—
839#2635—171no—
840#2631—171no—
841#2630—171no—
842#2481—171no—
843#2472—171no—
844#2467—171no—
845#2459—171no—
846#2456—171no—
847#2456—171no—
848#2450—171no—
849#2444—171no—
850#2443—171no—
851#2437—171no—
852#2424—171no—
853#2424—171no—
854#2418—171no—
855#2410—171no—
856#2410D1711yescharacteristic, complemented
857#2403—171no—
858#2325—171no—
859#2321—171no—
860#2318—171no—
861C4×#120—171no—
862C2×#386—171no—
863C22×C17—22no—
864C22×C17—22no—
865C22×C17—22no—
866C22×C17—22no—
867C22×C17—22no—
868C22×C17—22no—
869C22×C17—22no—
870C22×C17—22no—
871C22×C17—22no—
872C22×C17—22no—
873C22×C17—22no—
874C22×C17—22no—
875C22×C17—22no—
876C22×C17—22no—
877C22×C17—22no—
878C22×C17—22no—
879C22×C17—22no—
880C22×C17—22no—
881C22×C17—22no—
882C22×C17—22no—
883C22×C17—22no—
884C22×C17—416no—
885C22×C17—416no—
886C22×C17—41no—
887C22×C17—41no—
888C22×C17—41no—
889C22×C17—41no—
890C22×C17—41no—
891C22×C17—41no—
892C22×C17—41no—
893C22×C17—41no—
894C22×C17—41no—
895C22×C17—41no—
896C22×C17—41no—
897C22×C17—41no—
898C22×C17—41no—
899C22×C17—41no—
900C22×C17—41no—
901C22×C17—41no—
902C22×C17—41no—
903C22×C17—41no—
904C22×C17—41no—
905C22×C17#52514yes—
906C22×C17#53814yescomplemented
907C22×C17C23×D411yescharacteristic
908C22×C17C22×#4111yescharacteristic
909C22×C17C22×#4111yescharacteristic
910C22×C17C2×H(5,𝔽2)11yescharacteristic
911C22×C17C2×H(5,𝔽2)11yescharacteristic
912C22×C17C2×H(5,𝔽2)11yescharacteristic
913C22×C17#58511yescharacteristic
914C2×D17—41no—
915C2×D17—41no—
916C2×D17—41no—
917C2×D17—41no—
918C2×D17—41no—
919C2×D17—41no—
920C2×D17—41no—
921C2×D17—41no—
922C2×D17—41no—
923C2×D17—41no—
924C2×D17—41no—
925C2×D17—41no—
926C2×D17—41no—
927C2×D17—41no—
928C2×D17—88no—
929C4×C17—22no—
930C4×C17—22no—
931C4×C17—41no—
932C4×C17—41no—
933C4×C17—41no—
934C4×C17—41no—
935C4×C17—41no—
936C4×C17—41no—
937C4×C17—41no—
938Dic17—22no—
939Dic17—22no—
940Dic17—22no—
941Dic17—22no—
942Dic17—22no—
943Dic17—41no—
944Dic17—41no—
945Dic17—41no—
946Dic17—41no—
947Dic17—41no—
948Dic17—41no—
949Dic17—41no—
950Dic17—41no—
951Dic17—41no—
952C23×D4—171no—
953C23×D4C2×D1711yescharacteristic
954C24×C4—171no—
955C24×C4—171no—
956#538—348no—
957C2×#126—171no—
958C2×#126—171no—
959C2×#124—171no—
960C2×#124—171no—
961C2×#123—171no—
962C2×#123—171no—
963C2×#123—171no—
964C2×C22⋊Q8—171no—
965C2×C22⋊Q8—171no—
966C2×#121—171no—
967C2×#121—171no—
968C2×#121—171no—
969C2×#121—171no—
970C2×#121—171no—
971C2×#121C2×D1711yescharacteristic
972C2×#121C2×D1711yescharacteristic
973C2×#120—171no—
974C2×#120—171no—
975C2×#120—171no—
976C2×#120—171no—
977C2×#120—171no—
978C2×#120C2×D1711yescharacteristic
979C2×#120C2×D1711yescharacteristic, complemented
980C2×C4×D4—171no—
981C2×C4×D4—171no—
982C2×C4×D4—171no—
983C2×C4×D4—171no—
984C2×C4×D4—171no—
985C2×C4×D4—171no—
986C2×C4×D4—171no—
987C2×C4×D4—171no—
988C2×C4×D4—171no—
989C2×C4×D4—171no—
990C2×C4×D4—171no—
991C2×C4×D4—348no—
992C22×C4⋊C4—171no—
993C22×C22⋊C4—171no—
994C22×C22⋊C4—171no—
995C22×C22⋊C4—171no—
996C22×C22⋊C4—171no—
997C22×C22⋊C4C2×D1711yescharacteristic
998C22×C42—171no—
999#400—171no—
1000#400—171no—
1001#399—171no—
1002#399—171no—
1003#398—171no—
1004#397—171no—
1005#397—171no—
1006#397—171no—
1007#396—171no—
1008#396—171no—
1009#396—171no—
1010#396—171no—
1011#394—171no—
1012#394—171no—
1013#394—171no—
1014#394—171no—
1015#394—171no—
1016#394—171no—
1017#394—171no—
1018#394C2×D1711yescharacteristic, complemented
1019#394C2×D1711yescharacteristic, complemented
1020#393—171no—
1021#393—171no—
1022#392—171no—
1023#392—171no—
1024#392—171no—
1025#392—171no—
1026#392—171no—
1027#392—171no—
1028#392—171no—
1029#392C2×D1711yescharacteristic, complemented
1030#392C2×D1711yescharacteristic, complemented
1031#391—171no—
1032#390—171no—
1033#390—171no—
1034#390—171no—
1035#388—171no—
1036#388—171no—
1037#388—171no—
1038#388—171no—
1039#388—171no—
1040#388—171no—
1041#388—171no—
1042#388—171no—
1043#388—171no—
1044#388—171no—
1045#388—171no—
1046#388—171no—
1047#387—171no—
1048#387—171no—
1049#387—171no—
1050#387—171no—
1051#387—171no—
1052#387—171no—
1053#386—171no—
1054#386—171no—
1055#386—171no—
1056#386—171no—
1057#386—171no—
1058#386—171no—
1059#386—171no—
1060#386—171no—
1061#386—171no—
1062#386—171no—
1063#386—171no—
1064#386—171no—
1065#386—171no—
1066#386—171no—
1067#386—171no—
1068#386—171no—
1069#386—171no—
1070#386—171no—
1071#386—171no—
1072#386—171no—
1073#386—171no—
1074#386—171no—
1075#386—171no—
1076#386—171no—
1077#386—171no—
1078#386C2×D1711yescharacteristic
1079#386C2×D1711yescharacteristic
1080#386C2×D1711yescharacteristic, complemented
1081#385—171no—
1082#385—171no—
1083#385—171no—
1084#385—171no—
1085#385—171no—
1086#385—171no—
1087#385—171no—
1088#385—171no—
1089#385—171no—
1090#385—171no—
1091#385—171no—
1092#385C2×D1711yescharacteristic, complemented
1093#383—171no—
1094#382—171no—
1095#381—171no—
1096#381—171no—
1097#380—171no—
1098#380—171no—
1099#380—171no—
1100#380—171no—
1101#379—171no—
1102#379—171no—
1103#379C2×D1711yescharacteristic, complemented
1104C4×C22⋊C4—171no—
1105C4×C22⋊C4—171no—
1106C4×C22⋊C4—171no—
1107C2×#95—171no—
1108C2×#95—171no—
1109C2×C17—24no—
1110C2×C17—24no—
1111C2×C17—42no—
1112C2×C17—42no—
1113C2×C17—42no—
1114C2×C17—81no—
1115C2×C17C2×#52511yescharacteristic
1116C2×C17C2×#53811yescharacteristic
1117C2×C17#345911yescharacteristic
1118C2×C17#348411yescharacteristic
1119C2×C17#348811yescharacteristic
1120C2×C17#351311yescharacteristic
1121C2×C17#351911yescharacteristic
1122D17—81no—
1123D17—81no—
1124C25—171no—
1125C25C22×D1711yescharacteristic
1126C25C22×D1711yescharacteristic
1127C22×Q8—171no—
1128C22×D4—24no—
1129C22×D4—24no—
1130C22×D4—24no—
1131C22×D4—171no—
1132C22×D4—171no—
1133C22×D4—171no—
1134C22×D4—171no—
1135C22×D4—171no—
1136C22×D4—171no—
1137C22×D4—171no—
1138C22×D4—171no—
1139C22×D4—171no—
1140C22×D4—171no—
1141C22×D4—344no—
1142C22×D4—682no—
1143C22×D4—682no—
1144C22×D4C22×D1711yescharacteristic
1145C22×D4C22×D1711yescharacteristic
1146C22×D4C22×D1711yescharacteristic
1147C22×D4C22×D1711yescharacteristic
1148C22×D4C22×D1711yescharacteristic
1149C22×D4C22×D1711yescharacteristic
1150C22×D4C22×D1711yescharacteristic
1151C22×D4C22×D1711yescharacteristic
1152C22×D4C22×D1711yescharacteristic
1153C23×C4—171no—
1154C23×C4—171no—
1155C23×C4—171no—
1156C23×C4—171no—
1157C23×C4—171no—
1158C23×C4—171no—
1159C23×C4—171no—
1160C23×C4—171no—
1161C23×C4—171no—
1162C23×C4—171no—
1163C23×C4—171no—
1164C23×C4—171no—
1165C23×C4—171no—
1166C23×C4—171no—
1167C23×C4—344no—
1168C23×C4—344no—
1169C23×C4—682no—
1170C23×C4—682no—
1171C23×C4—682no—
1172C23×C4—682no—
1173C23×C4C22×D1711yescharacteristic
1174C23×C4C22×D1711yescharacteristic
1175C23×C4C22×D1711yescharacteristic
1176#126—344no—
1177#126—344no—
1178#124—344no—
1179#124—344no—
1180#123—344no—
1181#123—344no—
1182#123—682no—
1183C22⋊Q8—344no—
1184C22⋊Q8—682no—
1185#121—24no—
1186#121—24no—
1187#121—344no—
1188#121—344no—
1189#121—682no—
1190#121—682no—
1191#121—682no—
1192#120—24no—
1193#120—42no—
1194#120—344no—
1195#120—344no—
1196#120—344no—
1197#120—682no—
1198#120—682no—
1199C4×D4—178no—
1200C4×D4—344no—
1201C4×D4—344no—
1202C4×D4—344no—
1203C4×D4—344no—
1204C4×D4—344no—
1205C4×D4—344no—
1206C4×D4—344no—
1207C4×D4—344no—
1208C4×D4—682no—
1209C4×D4—682no—
1210C2×C4⋊C4—171no—
1211C2×C4⋊C4—171no—
1212C2×C4⋊C4—171no—
1213C2×C4⋊C4—171no—
1214C2×C4⋊C4—171no—
1215C2×C4⋊C4—171no—
1216C2×C4⋊C4—171no—
1217C2×C4⋊C4—171no—
1218C2×C4⋊C4—171no—
1219C2×C4⋊C4—171no—
1220C2×C4⋊C4—171no—
1221C2×C4⋊C4—171no—
1222C2×C4⋊C4—171no—
1223C2×C4⋊C4—171no—
1224C2×C4⋊C4—171no—
1225C2×C4⋊C4—171no—
1226C2×C4⋊C4—171no—
1227C2×C4⋊C4—171no—
1228C2×C4⋊C4—344no—
1229C2×C4⋊C4C22×D1711yescharacteristic
1230C2×C4⋊C4C22×D1711yescharacteristic
1231C2×C22⋊C4—42no—
1232C2×C22⋊C4—171no—
1233C2×C22⋊C4—171no—
1234C2×C22⋊C4—171no—
1235C2×C22⋊C4—171no—
1236C2×C22⋊C4—171no—
1237C2×C22⋊C4—171no—
1238C2×C22⋊C4—171no—
1239C2×C22⋊C4—171no—
1240C2×C22⋊C4—171no—
1241C2×C22⋊C4—171no—
1242C2×C22⋊C4—171no—
1243C2×C22⋊C4—171no—
1244C2×C22⋊C4—171no—
1245C2×C22⋊C4—171no—
1246C2×C22⋊C4—171no—
1247C2×C22⋊C4—171no—
1248C2×C22⋊C4—171no—
1249C2×C22⋊C4—171no—
1250C2×C22⋊C4—171no—
1251C2×C22⋊C4—171no—
1252C2×C22⋊C4—171no—
1253C2×C22⋊C4—171no—
1254C2×C22⋊C4—171no—
1255C2×C22⋊C4—171no—
1256C2×C22⋊C4—171no—
1257C2×C22⋊C4—171no—
1258C2×C22⋊C4—171no—
1259C2×C22⋊C4—171no—
1260C2×C22⋊C4—171no—
1261C2×C22⋊C4—171no—
1262C2×C22⋊C4—171no—
1263C2×C22⋊C4—171no—
1264C2×C22⋊C4—171no—
1265C2×C22⋊C4—171no—
1266C2×C22⋊C4—171no—
1267C2×C22⋊C4—171no—
1268C2×C22⋊C4—171no—
1269C2×C22⋊C4—171no—
1270C2×C22⋊C4—171no—
1271C2×C22⋊C4—171no—
1272C2×C22⋊C4—171no—
1273C2×C22⋊C4—344no—
1274C2×C22⋊C4—344no—
1275C2×C22⋊C4—344no—
1276C2×C22⋊C4—682no—
1277C2×C22⋊C4C22×D1711yescharacteristic
1278C2×C22⋊C4C22×D1711yescharacteristic
1279C2×C22⋊C4C22×D1711yescharacteristic
1280C2×C22⋊C4C22×D1711yescharacteristic
1281C2×C22⋊C4C22×D1711yescharacteristic
1282C2×C22⋊C4C22×D1711yescharacteristic
1283C2×C22⋊C4C22×D1711yescharacteristic
1284C2×C22⋊C4C22×D1711yescharacteristic
1285C2×C22⋊C4C22×D1711yescharacteristic
1286C2×C22⋊C4C22×D1711yescharacteristic
1287C2×C22⋊C4C22×D1711yescharacteristic
1288C2×C22⋊C4C22×D1711yescharacteristic
1289C2×C22⋊C4C22×D1711yescharacteristic
1290C2×C22⋊C4C22×D1711yescharacteristic
1291C2×C22⋊C4C22×D1711yescharacteristic
1292C2×C42—171no—
1293C2×C42—171no—
1294C2×C42—171no—
1295C2×C42—171no—
1296C2×C42—171no—
1297C2×C42—171no—
1298C2×C42—171no—
1299C2×C42—344no—
1300#95—171no—
1301#95—171no—
1302#95—171no—
1303#95—171no—
1304#95—171no—
1305#95—171no—
1306#95—171no—
1307#95—171no—
1308#95—171no—
1309#95—171no—
1310#95—171no—
1311#95—171no—
1312#95—171no—
1313#95—171no—
1314#95—171no—
1315#95—171no—
1316#95—171no—
1317#95—171no—
1318#95—171no—
1319#95—171no—
1320#95—171no—
1321#95—171no—
1322#95—171no—
1323#95—171no—
1324#95—171no—
1325#95—171no—
1326#95—171no—
1327#95—171no—
1328#95C22×D1711yescharacteristic
1329#95C22×D1711yescharacteristic
1330#95C22×D1711yescharacteristic
1331#95C22×D1711yescharacteristic
1332C17#3499011yescharacteristic, complemented, Sylow
1333C24—22no—
1334C24—22no—
1335C24—22no—
1336C24—22no—
1337C24—22no—
1338C24—22no—
1339C24—22no—
1340C24—22no—
1341C24—22no—
1342C24—41no—
1343C24—41no—
1344C24—41no—
1345C24—41no—
1346C24—171no—
1347C24—171no—
1348C24—342no—
1349C24—342no—
1350C24—342no—
1351C24—681no—
1352C24—681no—
1353C24—681no—
1354C24—681no—
1355C24#6325414yes—
1356C24C23×D1711yescharacteristic
1357C24C23×D1711yescharacteristic
1358C24C23×D1711yescharacteristic
1359C24C23×D1711yescharacteristic
1360C24C23×D1711yescharacteristic
1361C24C23×D1711yescharacteristic
1362C2×Q8—342no—
1363C2×Q8—681no—
1364C2×Q8—681no—
1365C2×D4—232no—
1366C2×D4—22no—
1367C2×D4—22no—
1368C2×D4—22no—
1369C2×D4—22no—
1370C2×D4—22no—
1371C2×D4—22no—
1372C2×D4—22no—
1373C2×D4—22no—
1374C2×D4—22no—
1375C2×D4—22no—
1376C2×D4—22no—
1377C2×D4—22no—
1378C2×D4—22no—
1379C2×D4—22no—
1380C2×D4—22no—
1381C2×D4—22no—
1382C2×D4—22no—
1383C2×D4—22no—
1384C2×D4—22no—
1385C2×D4—41no—
1386C2×D4—41no—
1387C2×D4—41no—
1388C2×D4—41no—
1389C2×D4—41no—
1390C2×D4—41no—
1391C2×D4—342no—
1392C2×D4—342no—
1393C2×D4—342no—
1394C2×D4—342no—
1395C2×D4—342no—
1396C2×D4—342no—
1397C2×D4—342no—
1398C2×D4—342no—
1399C2×D4—342no—
1400C2×D4—342no—
1401C2×D4—342no—
1402C2×D4—342no—
1403C2×D4—342no—
1404C2×D4—342no—
1405C2×D4—681no—
1406C2×D4—681no—
1407C2×D4—681no—
1408C2×D4—681no—
1409C2×D4—681no—
1410C2×D4—681no—
1411C2×D4—681no—
1412C2×D4—681no—
1413C2×D4—681no—
1414C2×D4—681no—
1415C2×D4—681no—
1416C2×D4—681no—
1417C2×D4—681no—
1418C2×D4—681no—
1419C2×D4—681no—
1420C2×D4—681no—
1421C2×D4—6816no—
1422C2×D4D4×D1714yes—
1423C2×D4#6325414yes—
1424C22×C4—22no—
1425C22×C4—22no—
1426C22×C4—22no—
1427C22×C4—22no—
1428C22×C4—22no—
1429C22×C4—41no—
1430C22×C4—41no—
1431C22×C4—41no—
1432C22×C4—41no—
1433C22×C4—171no—
1434C22×C4—171no—
1435C22×C4—171no—
1436C22×C4—171no—
1437C22×C4—171no—
1438C22×C4—174no—
1439C22×C4—174no—
1440C22×C4—171no—
1441C22×C4—171no—
1442C22×C4—171no—
1443C22×C4—171no—
1444C22×C4—171no—
1445C22×C4—171no—
1446C22×C4—171no—
1447C22×C4—171no—
1448C22×C4—171no—
1449C22×C4—342no—
1450C22×C4—342no—
1451C22×C4—342no—
1452C22×C4—342no—
1453C22×C4—342no—
1454C22×C4—342no—
1455C22×C4—342no—
1456C22×C4—342no—
1457C22×C4—342no—
1458C22×C4—342no—
1459C22×C4—342no—
1460C22×C4—342no—
1461C22×C4—342no—
1462C22×C4—342no—
1463C22×C4—342no—
1464C22×C4—342no—
1465C22×C4—342no—
1466C22×C4—342no—
1467C22×C4—342no—
1468C22×C4—342no—
1469C22×C4—342no—
1470C22×C4—681no—
1471C22×C4—681no—
1472C22×C4—681no—
1473C22×C4—681no—
1474C22×C4—681no—
1475C22×C4—681no—
1476C22×C4—681no—
1477C22×C4—681no—
1478C22×C4—681no—
1479C22×C4—681no—
1480C22×C4—681no—
1481C22×C4—681no—
1482C22×C4—681no—
1483C22×C4—681no—
1484C22×C4—681no—
1485C22×C4—681no—
1486C22×C4—681no—
1487C22×C4—681no—
1488C22×C4—681no—
1489C22×C4—6816no—
1490C22×C4—6816no—
1491C22×C4C23×D1711yescharacteristic
1492C22×C4C23×D1711yescharacteristic
1493C22×C4C23×D1711yescharacteristic
1494C22×C4C23×D1711yescharacteristic
1495C22×C4C23×D1711yescharacteristic
1496C22×C4C23×D1711yescharacteristic
1497C22×C4C23×D1711yescharacteristic
1498C22×C4C23×D1711yescharacteristic
1499C22×C4C23×D1711yescharacteristic
1500C4⋊C4—22no—
1501C4⋊C4—22no—
1502C4⋊C4—174no—
1503C4⋊C4—342no—
1504C4⋊C4—342no—
1505C4⋊C4—342no—
1506C4⋊C4—342no—
1507C4⋊C4—342no—
1508C4⋊C4—342no—
1509C4⋊C4—342no—
1510C4⋊C4—342no—
1511C4⋊C4—681no—
1512C4⋊C4—681no—
1513C4⋊C4—681no—
1514C4⋊C4—681no—
1515C4⋊C4—681no—
1516C4⋊C4—681no—
1517C4⋊C4—681no—
1518C4⋊C4—681no—
1519C4⋊C4—681no—
1520C22⋊C4—22no—
1521C22⋊C4—22no—
1522C22⋊C4—22no—
1523C22⋊C4—22no—
1524C22⋊C4—22no—
1525C22⋊C4—22no—
1526C22⋊C4—22no—
1527C22⋊C4—22no—
1528C22⋊C4—22no—
1529C22⋊C4—41no—
1530C22⋊C4—41no—
1531C22⋊C4—41no—
1532C22⋊C4—41no—
1533C22⋊C4—41no—
1534C22⋊C4—41no—
1535C22⋊C4—174no—
1536C22⋊C4—174no—
1537C22⋊C4—342no—
1538C22⋊C4—342no—
1539C22⋊C4—342no—
1540C22⋊C4—342no—
1541C22⋊C4—342no—
1542C22⋊C4—342no—
1543C22⋊C4—342no—
1544C22⋊C4—342no—
1545C22⋊C4—342no—
1546C22⋊C4—342no—
1547C22⋊C4—342no—
1548C22⋊C4—342no—
1549C22⋊C4—342no—
1550C22⋊C4—342no—
1551C22⋊C4—342no—
1552C22⋊C4—342no—
1553C22⋊C4—342no—
1554C22⋊C4—342no—
1555C22⋊C4—342no—
1556C22⋊C4—342no—
1557C22⋊C4—342no—
1558C22⋊C4—342no—
1559C22⋊C4—342no—
1560C22⋊C4—342no—
1561C22⋊C4—681no—
1562C22⋊C4—681no—
1563C22⋊C4—681no—
1564C22⋊C4—681no—
1565C22⋊C4—681no—
1566C22⋊C4—681no—
1567C22⋊C4—681no—
1568C22⋊C4—681no—
1569C22⋊C4—681no—
1570C22⋊C4—681no—
1571C22⋊C4—681no—
1572C22⋊C4—681no—
1573C22⋊C4—681no—
1574C22⋊C4—681no—
1575C22⋊C4—681no—
1576C42—174no—
1577C42—342no—
1578C42—342no—
1579C42—342no—
1580C42—342no—
1581C42—681no—
1582C42—681no—
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—21no—
1587C23—21no—
1588C23—21no—
1589C23—21no—
1590C23—21no—
1591C23—28no—
1592C23—28no—
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—21no—
1598C23—21no—
1599C23—21no—
1600C23—21no—
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—21no—
1606C23—21no—
1607C23—21no—
1608C23—21no—
1609C23—21no—
1610C23—21no—
1611C23—28no—
1612C23—21no—
1613C23—21no—
1614C23—21no—
1615C23—21no—
1616C23—21no—
1617C23—21no—
1618C23—21no—
1619C23—44no—
1620C23—44no—
1621C23—44no—
1622C23—44no—
1623C23—44no—
1624C23—44no—
1625C23—44no—
1626C23—44no—
1627C23—44no—
1628C23—44no—
1629C23—44no—
1630C23—341no—
1631C23—341no—
1632C23—341no—
1633C23—341no—
1634C23—341no—
1635C23—341no—
1636C23—341no—
1637C23—341no—
1638C23—341no—
1639C23—341no—
1640C23—341no—
1641C23—341no—
1642C23—341no—
1643C23—341no—
1644C23—684no—
1645C23—684no—
1646C23—684no—
1647C23—1362no—
1648C23—1362no—
1649C23—1362no—
1650C23—1362no—
1651C23C2×D4×D1712yes—
1652C23C2×D4×D1712yes—
1653C23C2×#6325412yes—
1654C23C2×#6325412yes—
1655C23C2×#6325412yes—
1656C23C2×#6325412yes—
1657C23C2×#6325412yes—
1658C23#1058769112yes—
1659C23#1058769612yes—
1660C23C24×D1711yescharacteristic
1661Q8—1362no—
1662D4—28no—
1663D4—28no—
1664D4—28no—
1665D4—28no—
1666D4—44no—
1667D4—44no—
1668D4—44no—
1669D4—82no—
1670D4—82no—
1671D4—684no—
1672D4—684no—
1673D4—684no—
1674D4—684no—
1675D4—1362no—
1676D4—1362no—
1677D4—1362no—
1678D4—1362no—
1679D4—1362no—
1680D4—1362no—
1681C2×C4—28no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—82no—
1708C2×C4—82no—
1709C2×C4—172no—
1710C2×C4—172no—
1711C2×C4—172no—
1712C2×C4—172no—
1713C2×C4—172no—
1714C2×C4—348no—
1715C2×C4—341no—
1716C2×C4—341no—
1717C2×C4—341no—
1718C2×C4—341no—
1719C2×C4—341no—
1720C2×C4—341no—
1721C2×C4—341no—
1722C2×C4—341no—
1723C2×C4—341no—
1724C2×C4—341no—
1725C2×C4—341no—
1726C2×C4—341no—
1727C2×C4—341no—
1728C2×C4—341no—
1729C2×C4—341no—
1730C2×C4—341no—
1731C2×C4—341no—
1732C2×C4—341no—
1733C2×C4—341no—
1734C2×C4—341no—
1735C2×C4—341no—
1736C2×C4—341no—
1737C2×C4—341no—
1738C2×C4—341no—
1739C2×C4—341no—
1740C2×C4—341no—
1741C2×C4—341no—
1742C2×C4—341no—
1743C2×C4—341no—
1744C2×C4—341no—
1745C2×C4—341no—
1746C2×C4—341no—
1747C2×C4—341no—
1748C2×C4—341no—
1749C2×C4—341no—
1750C2×C4—341no—
1751C2×C4—341no—
1752C2×C4—684no—
1753C2×C4—684no—
1754C2×C4—684no—
1755C2×C4—684no—
1756C2×C4—684no—
1757C2×C4—684no—
1758C2×C4—684no—
1759C2×C4—684no—
1760C2×C4—684no—
1761C2×C4—684no—
1762C2×C4—684no—
1763C2×C4—684no—
1764C2×C4—1362no—
1765C2×C4C2×D4×D1712yes—
1766C2×C4C2×#6325412yes—
1767C22—22no—
1768C22—22no—
1769C22—22no—
1770C22—22no—
1771C22—22no—
1772C22—22no—
1773C22—22no—
1774C22—22no—
1775C22—22no—
1776C22—22no—
1777C22—22no—
1778C22—22no—
1779C22—22no—
1780C22—22no—
1781C22—22no—
1782C22—22no—
1783C22—22no—
1784C22—22no—
1785C22—22no—
1786C22—22no—
1787C22—22no—
1788C22—416no—
1789C22—416no—
1790C22—41no—
1791C22—41no—
1792C22—41no—
1793C22—41no—
1794C22—41no—
1795C22—41no—
1796C22—41no—
1797C22—41no—
1798C22—41no—
1799C22—41no—
1800C22—41no—
1801C22—41no—
1802C22—41no—
1803C22—41no—
1804C22—41no—
1805C22—41no—
1806C22—41no—
1807C22—41no—
1808C22—41no—
1809C22—681no—
1810C22—681no—
1811C22—681no—
1812C22—681no—
1813C22—681no—
1814C22—681no—
1815C22—681no—
1816C22—681no—
1817C22—681no—
1818C22—681no—
1819C22—681no—
1820C22—681no—
1821C22—681no—
1822C22—681no—
1823C22—1368no—
1824C22#1176331514yes—
1825C22#1176339614yescomplemented
1826C22C22×D4×D1711yescharacteristic
1827C22C22×#6325411yescharacteristic
1828C22C22×#6325411yescharacteristic
1829C22H(5,𝔽2)×D1711yescharacteristic
1830C22C2×#1058769111yescharacteristic
1831C22C2×#1058769611yescharacteristic
1832C22#1176364411yescharacteristic
1833C4—22no—
1834C4—22no—
1835C4—41no—
1836C4—41no—
1837C4—41no—
1838C4—41no—
1839C4—41no—
1840C4—41no—
1841C4—41no—
1842C4—342no—
1843C4—342no—
1844C4—342no—
1845C4—342no—
1846C4—342no—
1847C4—681no—
1848C4—681no—
1849C4—681no—
1850C4—681no—
1851C4—681no—
1852C4—681no—
1853C4—681no—
1854C4—681no—
1855C4—681no—
1856C2—24no—
1857C2—24no—
1858C2—42no—
1859C2—42no—
1860C2—42no—
1861C2—81no—
1862C2—1361no—
1863C2—1361no—
1864C2C2×#1176331511yescharacteristic
1865C2C2×#1176339611yescharacteristic
1866C2#1454219011yescharacteristic
1867C2#1454241411yescharacteristic
1868C2#1454244411yescharacteristic
1869C2#1454272511yescharacteristic
1870C2#1454280311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D17
commutator, socle, cosocleC23×C17C25
FittingC17×#2410C2
hypercenter#2410D17
hypocenterC17#34990
LCSG ▷ C23×C17 ▷ C17
UCSC1 ◁ C23 ◁ #2410

Complements

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

NH ≅ G/Ntype
1. C2×#11763396C2semidirect
2. C22×D4×Dic17C2semidirect
3. #14537101C2semidirect
4. #14537081C2semidirect
5. #14537078C2semidirect
6. #14537064C2semidirect
7. #14534680C2semidirect
8. #14534667C2semidirect
9. #14534635C2semidirect
10. #14534622C2semidirect
11. #14533042C2semidirect
12. #14532907C2semidirect
13. #14532828C2semidirect
14. #14532714C2semidirect
15. #14532669C2semidirect
16. #14532669C2semidirect
17. #14532612C2semidirect
18. #14532530C2semidirect
19. #14532517C2semidirect
20. #14532445C2semidirect
21. #14532326C2semidirect
22. #14532324C2semidirect
23. #14532244C2semidirect
24. #14532159C2semidirect
25. #14532094C2semidirect
26. #14531489C2semidirect
27. #14531447C2semidirect
28. #14531410C2semidirect
29. #120×Dic17C2semidirect
30. C2×#11762686C2semidirect
31. C17×#2410C2semidirect
34. C24×Dic17C22semidirect
36. C2×#10587584C22semidirect
37. C2×#10587584C22semidirect
38. C2×#10587571C22semidirect
39. C2×#10587571C22semidirect
40. C2×#10587572C22semidirect
41. C2×#10587572C22semidirect
42. C2×#10587572C22semidirect
43. C2×#10587610C22semidirect
44. C2×#10587564C22semidirect
47. C2×#10587625C22semidirect
48. C2×#10587625C22semidirect
49. C2×#10587625C22semidirect
54. C2×#10587623C22semidirect
60. C2×D4×Dic17C22semidirect
61. C2×D4×Dic17C22semidirect
62. C2×D4×Dic17C22semidirect
63. C2×D4×Dic17C22semidirect
64. C2×D4×Dic17C22semidirect
65. C2×D4×Dic17C22semidirect
66. C2×D4×Dic17C22semidirect
67. C22×C4⋊Dic17C22semidirect
69. C22×C22⋊Dic17C22semidirect
70. C22×#63227C22semidirect
71. C22×#63227C22semidirect
72. C22×C4×Dic17C22semidirect
73. #11762751C22semidirect
74. #11762748C22semidirect
75. #11762746C22semidirect
76. #11762745C22semidirect
77. #11762741C22semidirect
78. #11762737C22semidirect
79. #11762736C22semidirect
80. #11762734C22semidirect
81. #11762732C22semidirect
82. #11762732C22semidirect
83. #11762732C22semidirect
84. #11762731C22semidirect
85. #11762725C22semidirect
86. #11762725C22semidirect
87. #11762725C22semidirect
88. #11762724C22semidirect
89. #11762724C22semidirect
90. #11762724C22semidirect
91. #11762723C22semidirect
92. #11762721C22semidirect
93. #11762721C22semidirect
98. #11762717C22semidirect
99. #11762717C22semidirect
100. #11762717C22semidirect
101. #11762713C22semidirect
102. #11762709C22semidirect
103. #11762709C22semidirect
104. #11762709C22semidirect
105. #11762703C22semidirect
106. #11762702C22semidirect
107. #11762702C22semidirect
108. #11762701C22semidirect
109. #11762701C22semidirect
110. #11762701C22semidirect
111. #11762701C22semidirect
112. #11762699C22semidirect
113. #11762698C22semidirect
114. #11762698C22semidirect
115. #11762697C22semidirect
116. #11762697C22semidirect
117. #11762695C22semidirect
118. #11762695C22semidirect
119. #11762694C22semidirect
120. #11762692C22semidirect
121. #11762692C22semidirect
122. #11762690C22semidirect
125. #11762689C22semidirect
126. #11762689C22semidirect
127. #11762689C22semidirect
128. #11762689C22semidirect
129. #11762689C22semidirect
130. #11762689C22semidirect
131. #11762689C22semidirect
140. #11762686C22semidirect
141. #11762686C22semidirect
142. #11762686C22semidirect
143. #11762686C22semidirect
144. #11762686C22semidirect
145. #11762686C22semidirect
146. #11762686C22semidirect
147. #11762686C22semidirect
148. #11762684C22semidirect
149. #11762684C22semidirect
150. #11762684C22semidirect
151. #11762684C22semidirect
152. #11762684C22semidirect
153. #11762684C22semidirect
154. #11762684C22semidirect
155. #11762682C22semidirect
156. #11762682C22semidirect
157. #11762681C22semidirect
158. #11762681C22semidirect
159. #11762676C22semidirect
160. #11762673C22semidirect
161. #11762670C22semidirect
162. #11762670C22semidirect
163. #11762669C22semidirect
164. #11762667C22semidirect
165. #11762667C22semidirect
166. #11762667C22semidirect
168. #11762664C22semidirect
169. C22⋊C4×Dic17C22semidirect
170. C22⋊C4×Dic17C22semidirect
171. C22⋊C4×Dic17C22semidirect
172. C2×#10587502C22semidirect
173. C2×#10587502C22semidirect
178. C2×C17×#120C22semidirect
180. C17×#394C22semidirect
181. C17×#394C22semidirect
182. C17×#392C22semidirect
183. C17×#392C22semidirect
186. C17×#386C22semidirect
187. C17×#385C22semidirect
188. C17×#379C22semidirect
308. D4×Dic17D4semidirect
546. C22×Dic17C2×D4semidirect
603. C22⋊Dic17C2×D4semidirect
631. C4⋊Dic17C2×D4semidirect
646. C4×Dic17C2×D4semidirect
856. #2410D17semidirect
906. C22×C17#538semidirect
979. C2×#120C2×D17semidirect
1018. #394C2×D17semidirect
1019. #394C2×D17semidirect
1029. #392C2×D17semidirect
1030. #392C2×D17semidirect
1080. #386C2×D17semidirect
1092. #385C2×D17semidirect
1103. #379C2×D17semidirect
1332. C17#34990semidirect
1825. C22#11763396semidirect

Maximal subgroups

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

subgroupindex
C2×#117633962
C22×D4×Dic172
#145371012
#145370812
#145370782
#145370642
#145346802
#145346672
#145346352
#145346222
#145330422
#145329072
#145328282
#145327142
#145326692
#145326122
#145325302
#145325172
#145324452
#145323262
#145323242
#145322442
#145321592
#145320942
#145314892
#145314472
#145314102
#120×Dic172
C2×#117626862
C17×#24102
#3499017