Finite Group Databasebeta

← #17206995

Subgroups — #17206995

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×#11763391C211yesmaximal, characteristic, complemented
2C2×C4×D4×D17C211yesmaximal, characteristic, complemented
3#14537098C211yesmaximal, characteristic, complemented
4#14537082C211yesmaximal, characteristic, complemented
5#14537077C211yesmaximal, characteristic, complemented
6#14537063C211yesmaximal, characteristic, complemented
7#14534685C211yesmaximal, characteristic, complemented
8#14534640C211yesmaximal, characteristic, complemented
9#14534621C211yesmaximal, characteristic, complemented
10#14533048C211yesmaximal, characteristic, complemented
11#14532905C211yesmaximal, characteristic, complemented
12#14532838C211yesmaximal, characteristic, complemented
13#14532716C211yesmaximal, characteristic, complemented
14#14532677C211yesmaximal, characteristic, complemented
15#14532669C211yesmaximal, characteristic, complemented
16#14532611C211yesmaximal, characteristic, complemented
17#14532527C211yesmaximal, characteristic, complemented
18#14532512C211yesmaximal, characteristic, complemented
19#14532451C211yesmaximal, characteristic, complemented
20#14532321C211yesmaximal, characteristic, complemented
21#14532313C211yesmaximal, characteristic, complemented
22#14532241C211yesmaximal, characteristic, complemented
23#14532151C211yesmaximal, characteristic, complemented
24#14532151C211yesmaximal, characteristic, complemented
25#14532093C211yesmaximal, characteristic, complemented
26#14531488C211yesmaximal, characteristic, complemented
27#14531446C211yesmaximal, characteristic, complemented
28#14531413C211yesmaximal, characteristic, complemented
29#14531289C211yesmaximal, characteristic, complemented
30D17×#386C211yesmaximal, characteristic, complemented
31C17×#2635C211yesmaximal, characteristic, complemented
32C22×D4×D17C2211yescharacteristic
33C22×D4×D17C2211yescharacteristic
34C23×C4×D17C2211yescharacteristic
35C23×C4×D17C2211yescharacteristic, complemented
36#11763391—28no—
37C2×#10587584C2211yescharacteristic, complemented
38C2×#10587565C2211yescharacteristic, complemented
39C2×#10587622C2211yescharacteristic, complemented
40C2×#10587571C2211yescharacteristic, complemented
41C2×#10587572C2211yescharacteristic, complemented
42C2×#10587615C2211yescharacteristic, complemented
43C2×#10587621C2211yescharacteristic, complemented
44C2×#10587582C2211yescharacteristic, complemented
45C2×#10587582C2211yescharacteristic, complemented
46C2×#10587570C2211yescharacteristic
47C2×#10587570C2211yescharacteristic
48C2×#10587625C2211yescharacteristic, complemented
49C2×#10587624C2211yescharacteristic
50C2×#10587624C2211yescharacteristic
51C2×#10587624C2211yescharacteristic, complemented
52C2×#10587568C2211yescharacteristic
53C2×#10587568C2211yescharacteristic
54C2×#10587623C2211yescharacteristic
55C2×#10587623C2211yescharacteristic
56C2×#10587623C2211yescharacteristic
57C2×#10587623C2211yescharacteristic, complemented
58C2×#10587623C2211yescharacteristic, complemented
59C2×C4×D68C2211yescharacteristic
60C2×D4×Dic17C2211yescharacteristic, complemented
61C2×D4×Dic17C2211yescharacteristic, complemented
62C2×#10587579C2211yescharacteristic
63C2×C4×C22⋊D17C2211yescharacteristic
64C2×C4×C22⋊D17C2211yescharacteristic, complemented
65C2×#10587567C2211yescharacteristic
66C2×#10587567C2211yescharacteristic, complemented
67C2×#10587567C2211yescharacteristic, complemented
68C2×#10587567C2211yescharacteristic, complemented
69C4×D4×D17—28no—
70C2×C4⋊C4×D17C2211yescharacteristic, complemented
71C2×C22⋊C4×D17C2211yescharacteristic
72C2×C22⋊C4×D17C2211yescharacteristic
73C2×C22⋊C4×D17C2211yescharacteristic, complemented
74C2×C22⋊C4×D17C2211yescharacteristic, complemented
75C2×C22⋊C4×D17C2211yescharacteristic, complemented
76C2×C42×D17C2211yescharacteristic, complemented
77#11762751C2211yescharacteristic, complemented
78#11762745C2211yescharacteristic, complemented
79#11762742C2211yescharacteristic, complemented
80#11762738C2211yescharacteristic, complemented
81#11762737C2211yescharacteristic, complemented
82#11762737C2211yescharacteristic, complemented
83#11762733C2211yescharacteristic, complemented
84#11762732C2211yescharacteristic, complemented
85#11762732C2211yescharacteristic, complemented
86#11762731C2211yescharacteristic, complemented
87#11762725C2211yescharacteristic, complemented
88#11762725C2211yescharacteristic, complemented
89#11762724C2211yescharacteristic, complemented
90#11762724C2211yescharacteristic, complemented
91#11762723C2211yescharacteristic, complemented
92#11762723C2211yescharacteristic, complemented
93#11762722C2211yescharacteristic, complemented
94#11762721C2211yescharacteristic, complemented
95#11762718C2211yescharacteristic
96#11762718C2211yescharacteristic, complemented
97#11762717C2211yescharacteristic
98#11762717C2211yescharacteristic
99#11762717C2211yescharacteristic, complemented
100#11762717C2211yescharacteristic, complemented
101#11762713C2211yescharacteristic, complemented
102#11762710C2211yescharacteristic, complemented
103#11762709C2211yescharacteristic, complemented
104#11762709C2211yescharacteristic, complemented
105#11762703C2211yescharacteristic, complemented
106#11762703C2211yescharacteristic, complemented
107#11762702C2211yescharacteristic, complemented
108#11762702C2211yescharacteristic, complemented
109#11762701C2211yescharacteristic, complemented
110#11762700C2211yescharacteristic, complemented
111#11762699C2211yescharacteristic, complemented
112#11762699C2211yescharacteristic, complemented
113#11762697C2211yescharacteristic, complemented
114#11762697C2211yescharacteristic, complemented
115#11762696C2211yescharacteristic, complemented
116#11762696C2211yescharacteristic, complemented
117#11762696C2211yescharacteristic, complemented
118#11762695C2211yescharacteristic, complemented
119#11762693C2211yescharacteristic, complemented
120#11762692C2211yescharacteristic, complemented
121#11762689C2211yescharacteristic, complemented
122#11762689C2211yescharacteristic, complemented
123#11762689C2211yescharacteristic, complemented
124#11762688C2211yescharacteristic, complemented
125#11762687C2211yescharacteristic
126#11762687C2211yescharacteristic
127#11762687C2211yescharacteristic
128#11762687C2211yescharacteristic
129#11762687C2211yescharacteristic
130#11762687C2211yescharacteristic
131#11762687C2211yescharacteristic, complemented
132#11762687C2211yescharacteristic, complemented
133#11762686C2211yescharacteristic, complemented
134#11762686C2211yescharacteristic, complemented
135#11762685C2211yescharacteristic
136#11762685C2211yescharacteristic
137#11762685C2211yescharacteristic
138#11762685C2211yescharacteristic
139#11762685C2211yescharacteristic
140#11762685C2211yescharacteristic
141#11762685C2211yescharacteristic, complemented
142#11762685C2211yescharacteristic, complemented
143#11762685C2211yescharacteristic, complemented
144#11762685C2211yescharacteristic, complemented
145#11762685C2211yescharacteristic, complemented
146#11762685C2211yescharacteristic, complemented
147#11762684C2211yescharacteristic, complemented
148#11762683C2211yescharacteristic, complemented
149#11762683C2211yescharacteristic, complemented
150#11762683C2211yescharacteristic, complemented
151#11762683C2211yescharacteristic, complemented
152#11762683C2211yescharacteristic, complemented
153#11762683C2211yescharacteristic, complemented
154#11762683C2211yescharacteristic, complemented
155#11762683C2211yescharacteristic, complemented
156#11762682C2211yescharacteristic, complemented
157#11762680C2211yescharacteristic, complemented
158#11762680C2211yescharacteristic, complemented
159#11762676C2211yescharacteristic, complemented
160#11762673C2211yescharacteristic, complemented
161#11762670C2211yescharacteristic, complemented
162#11762669C2211yescharacteristic, complemented
163#11762666C2211yescharacteristic, complemented
164#11762666C2211yescharacteristic, complemented
165#11762666C2211yescharacteristic, complemented
166#11762664C2211yescharacteristic
167#11762664C2211yescharacteristic, complemented
168#11762664C2211yescharacteristic, complemented
169C22⋊C4×Dic17C2211yescharacteristic, complemented
170#11762656C2211yescharacteristic, complemented
171#11762656C2211yescharacteristic, complemented
172#95×D17C2211yescharacteristic, complemented
173#95×D17C2211yescharacteristic, complemented
174C2×C17×#121C2211yescharacteristic, complemented
175C2×C4×D4×C17C2211yescharacteristic, complemented
176C17×#400C2211yescharacteristic, complemented
177C17×#399C2211yescharacteristic, complemented
178C17×#394C2211yescharacteristic, complemented
179C17×#394C2211yescharacteristic, complemented
180C17×#394C2211yescharacteristic, complemented
181C17×#392C2211yescharacteristic
182C17×#392C2211yescharacteristic, complemented
183C17×#392C2211yescharacteristic, complemented
184C17×#388C2211yescharacteristic, complemented
185C17×#388C2211yescharacteristic, complemented
186C17×#386C2211yescharacteristic, complemented
187C17×#386C2211yescharacteristic, complemented
188C17×#381C2211yescharacteristic, complemented
189C24×D17C2311yescharacteristic
190C24×D17C2311yescharacteristic
191C24×D17C2311yescharacteristic
192C22×D4×C17C2311yescharacteristic
193C22×D4×C17C2311yescharacteristic
194C22×D4×C17C2311yescharacteristic
195C22×D4×C17C2311yescharacteristic
196C22×D4×C17C2311yescharacteristic
197C22×D4×C17C2311yescharacteristic
198C23×C4×C17C2311yescharacteristic
199C23×C4×C17C2311yescharacteristic
200C22×C22⋊D17C2311yescharacteristic
201C22×C22⋊D17C2311yescharacteristic
202C22×C22⋊D17C2311yescharacteristic
203C22×C22⋊D17C2311yescharacteristic
204C22×C22⋊D17C2311yescharacteristic
205C22×C22⋊D17C2311yescharacteristic
206C22×C22⋊D17C2311yescharacteristic
207C22×C22⋊D17C2311yescharacteristic
208C22×C22⋊D17C2311yescharacteristic
209C22×C22⋊D17C2311yescharacteristic
210C23×Dic17C2311yescharacteristic
211C23×Dic17C2311yescharacteristic
212C23×Dic17C2311yescharacteristic
213C2×D4×D17—24no—
214C2×D4×D17—24no—
215C2×D4×D17—24no—
216C2×D4×D17—24no—
217C2×D4×D17—42no—
218C2×D4×D17—42no—
219C22×D68C2311yescharacteristic
220C22×D68C2311yescharacteristic
221C22×D68C2311yescharacteristic
222C22×C4×D17—24no—
223C22×C4×D17—24no—
224C22×C4×D17—42no—
225C22×C4×D17—42no—
226C22×C4×D17—42no—
227C22×C4×D17—42no—
228C22×C4×D17C2311yescharacteristic
229C22×C4×D17C2311yescharacteristic
230C22×C4×D17C2311yescharacteristic
231C22×C4×D17C2311yescharacteristic
232C22×C4×D17C2311yescharacteristic
233C22×C4×D17C2311yescharacteristic
234C22×C4×D17C2311yescharacteristic
235C22×C4×D17C2311yescharacteristic
236C22×C4×D17C2311yescharacteristic
237C22×C4×D17C2311yescharacteristic
238C22×C4×D17C2311yescharacteristic
239C22×C4×D17C2311yescharacteristic
240C22×Dic34C2311yescharacteristic
241C17×#121—24no—
242C4×D4×C17—24no—
243C2×C4⋊C4×C17C2311yescharacteristic
244C2×C4⋊C4×C17C2311yescharacteristic
245C2×C4⋊C4×C17C2311yescharacteristic
246C2×C4⋊C4×C17C2311yescharacteristic
247C2×C22⋊C4×C17C2311yescharacteristic
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×C42×C17C2311yescharacteristic
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
278#10587625—24no—
279#10587624—24no—
280#10587624—42no—
281#10587624—42no—
282#10587623—24no—
283#10587623—24no—
284#10587623—24no—
285#10587623—42no—
286#10587623—42no—
287#10587622—24no—
288#10587621—24no—
289D4×Dic17—24no—
290D4×Dic17—42no—
291#10587615—24no—
292C4×C22⋊D17—24no—
293C4×C22⋊D17D418yescomplemented
294C2×#63227C2311yescharacteristic
295C2×#63227C2311yescharacteristic
296C2×#63227C2311yescharacteristic
297C2×#63227C2311yescharacteristic
298C2×#63227C2311yescharacteristic
299C2×#63227C2311yescharacteristic
300C2×#63227C2311yescharacteristic
301C2×#63227C2311yescharacteristic
302C2×#63227C2311yescharacteristic
303C2×#63227C2311yescharacteristic
304C2×#63227C2311yescharacteristic
305C2×#63227C2311yescharacteristic
306C2×#63227C2311yescharacteristic
307C2×#63227C2311yescharacteristic
308C2×#63227C2311yescharacteristic
309C2×#63227C2311yescharacteristic
310C2×#63227C2311yescharacteristic
311C2×#63227C2311yescharacteristic
312C2×#63227C2311yescharacteristic
313C2×#63227C2311yescharacteristic
314C2×#63227C2311yescharacteristic
315C2×#63227C2311yescharacteristic
316C2×#63227C2311yescharacteristic
317C2×#63227C2311yescharacteristic
318C2×#63227C2311yescharacteristic
319C2×#63227C2311yescharacteristic
320C2×C4⋊Dic17C2311yescharacteristic
321C2×C4⋊Dic17C2311yescharacteristic
322C2×C4⋊Dic17C2311yescharacteristic
323C2×C4⋊Dic17C2311yescharacteristic
324C2×C4⋊Dic17C2311yescharacteristic
325C2×C4⋊Dic17C2311yescharacteristic
326C2×#63225C2311yescharacteristic
327C2×#63225C2311yescharacteristic
328C2×#63225C2311yescharacteristic
329C2×#63225C2311yescharacteristic
330C2×#63225C2311yescharacteristic
331C2×#63225C2311yescharacteristic
332C2×#63225C2311yescharacteristic
333C2×#63225C2311yescharacteristic
334C2×#63225C2311yescharacteristic
335C2×#63225C2311yescharacteristic
336C2×C4×Dic17C2311yescharacteristic
337C2×C4×Dic17C2311yescharacteristic
338C2×C4×Dic17C2311yescharacteristic
339C2×C4×Dic17C2311yescharacteristic
340C2×C4×Dic17C2311yescharacteristic
341C2×C4×Dic17C2311yescharacteristic
342#10587584—24no—
343#10587582—24no—
344#10587582—42no—
345#10587579—24no—
346C4⋊C4×D17—24no—
347#10587572—42no—
348#10587571—24no—
349#10587570—24no—
350#10587570—42no—
351#10587568—24no—
352#10587568—42no—
353#10587567—24no—
354#10587567—24no—
355#10587567—24no—
356#10587567—42no—
357C22⋊C4×D17—24no—
358C22⋊C4×D17—24no—
359C22⋊C4×D17—24no—
360C22⋊C4×D17—42no—
361C22⋊C4×D17—42no—
362#10587565—24no—
363C4×D68—24no—
364C42×D17—24no—
365C17×#95C2311yescharacteristic
366C17×#95C2311yescharacteristic
367C17×#95C2311yescharacteristic
368C17×#95C2311yescharacteristic
369C17×#95C2311yescharacteristic
370C17×#95C2311yescharacteristic
371C17×#95C2311yescharacteristic
372C17×#95C2311yescharacteristic
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×C17C2411yescharacteristic
398C24×C17C2411yescharacteristic
399C24×C17C2411yescharacteristic
400C24×C17C2411yescharacteristic
401C23×D17—22no—
402C23×D17—22no—
403C23×D17—22no—
404C23×D17—22no—
405C23×D17—22no—
406C23×D17—22no—
407C23×D17—22no—
408C23×D17—22no—
409C23×D17—22no—
410C23×D17—22no—
411C23×D17—22no—
412C23×D17—22no—
413C23×D17—41no—
414C23×D17—41no—
415C23×D17—41no—
416C23×D17—41no—
417C23×D17—41no—
418C23×D17—41no—
419C23×D17—41no—
420C23×D17—41no—
421C23×D17#4114yes—
422C23×D17C2411yescharacteristic
423C23×D17C2411yescharacteristic
424C23×D17C2411yescharacteristic
425C23×D17C2411yescharacteristic
426C2×D4×C17—22no—
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—41no—
435C2×D4×C17—41no—
436C2×D4×C17—41no—
437C2×D4×C17—41no—
438C2×D4×C17—41no—
439C2×D4×C17—41no—
440C2×D4×C17—41no—
441C2×D4×C17—41no—
442C2×D4×C17—41no—
443C2×D4×C17—41no—
444C22×C4×C17—22no—
445C22×C4×C17—41no—
446C22×C4×C17—41no—
447C22×C4×C17—41no—
448C22×C4×C17—41no—
449C22×C4×C17C2×D414yescomplemented
450C22×C4×C17C2411yescharacteristic
451C22×C4×C17C2411yescharacteristic
452C22×C4×C17C2411yescharacteristic
453C22×C4×C17C2411yescharacteristic
454C22×C4×C17C2411yescharacteristic
455C22×C4×C17C2411yescharacteristic
456C22×C4×C17C2411yescharacteristic
457C22×C4×C17C2411yescharacteristic
458C22×C4×C17C2411yescharacteristic
459C22×C4×C17C2411yescharacteristic
460C22×C4×C17C2411yescharacteristic
461C2×C22⋊D17—22no—
462C2×C22⋊D17—22no—
463C2×C22⋊D17—22no—
464C2×C22⋊D17—22no—
465C2×C22⋊D17—22no—
466C2×C22⋊D17—22no—
467C2×C22⋊D17—22no—
468C2×C22⋊D17—22no—
469C2×C22⋊D17—22no—
470C2×C22⋊D17—22no—
471C2×C22⋊D17—22no—
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—41no—
481C2×C22⋊D17—41no—
482C2×C22⋊D17—41no—
483C2×C22⋊D17—41no—
484C2×C22⋊D17—41no—
485C2×C22⋊D17—41no—
486C2×C22⋊D17—41no—
487C2×C22⋊D17—41no—
488C2×C22⋊D17—41no—
489C2×C22⋊D17—41no—
490C2×C22⋊D17C2×D414yes—
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×Dic17C2411yescharacteristic
501C22×Dic17C2411yescharacteristic
502C22×Dic17C2411yescharacteristic
503C22×Dic17C2411yescharacteristic
504C22×Dic17C2411yescharacteristic
505C22×Dic17C2411yescharacteristic
506C22×Dic17C2411yescharacteristic
507C22×Dic17C2411yescharacteristic
508C22×Dic17C2411yescharacteristic
509C22×Dic17C2411yescharacteristic
510C22×Dic17C2411yescharacteristic
511C22×Dic17C2411yescharacteristic
512D4×D17—232no—
513D4×D17—416no—
514C2×D68—22no—
515C2×D68—22no—
516C2×D68—22no—
517C2×D68—22no—
518C2×D68—22no—
519C2×D68—22no—
520C2×D68—41no—
521C2×D68—41no—
522C2×D68#4114yes—
523C2×C4×D17—22no—
524C2×C4×D17—22no—
525C2×C4×D17—22no—
526C2×C4×D17—22no—
527C2×C4×D17—22no—
528C2×C4×D17—22no—
529C2×C4×D17—22no—
530C2×C4×D17—22no—
531C2×C4×D17—22no—
532C2×C4×D17—22no—
533C2×C4×D17—22no—
534C2×C4×D17—22no—
535C2×C4×D17—22no—
536C2×C4×D17—22no—
537C2×C4×D17—22no—
538C2×C4×D17—22no—
539C2×C4×D17—22no—
540C2×C4×D17—22no—
541C2×C4×D17—22no—
542C2×C4×D17—22no—
543C2×C4×D17—416no—
544C2×C4×D17—416no—
545C2×C4×D17—41no—
546C2×C4×D17—41no—
547C2×C4×D17—41no—
548C2×C4×D17—41no—
549C2×C4×D17—41no—
550C2×C4×D17—41no—
551C2×C4×D17—41no—
552C2×C4×D17—41no—
553C2×C4×D17—41no—
554C2×C4×D17—41no—
555C2×C4×D17—41no—
556C2×C4×D17—41no—
557C2×C4×D17—41no—
558C2×C4×D17—41no—
559C2×C4×D17—41no—
560C2×C4×D17C2×D414yes—
561C2×Dic34—22no—
562C2×Dic34—41no—
563C2×Dic34—41no—
564C4⋊C4×C17—22no—
565C4⋊C4×C17—22no—
566C4⋊C4×C17—41no—
567C4⋊C4×C17—41no—
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—41no—
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⋊C4×C17—41no—
582C42×C17—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—41no—
593C22⋊Dic17—41no—
594C22⋊Dic17—41no—
595C22⋊Dic17—41no—
596C22⋊Dic17—41no—
597C22⋊Dic17—41no—
598C22⋊Dic17C2×D414yescomplemented
599#63227—22no—
600#63227—22no—
601#63227—22no—
602#63227—22no—
603#63227—22no—
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—22no—
617#63227—41no—
618#63227—41no—
619#63227—41no—
620#63227—41no—
621#63227—41no—
622#63227—41no—
623#63227—41no—
624#63227C2×D414yes—
625C4⋊Dic17—22no—
626C4⋊Dic17—22no—
627C4⋊Dic17—22no—
628C4⋊Dic17—41no—
629C4⋊Dic17—41no—
630C4⋊Dic17—41no—
631#63225—22no—
632#63225—22no—
633#63225—22no—
634#63225—22no—
635#63225—22no—
636#63225—41no—
637#63225—41no—
638#63225—41no—
639#63225—41no—
640#63225C2×D414yescomplemented
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—21no—
657C23×C17—21no—
658C23×C17—21no—
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×C17C22×D412yes—
675C23×C17C2×#4112yes—
676C23×C17C2511yescharacteristic
677C22×D17—21no—
678C22×D17—21no—
679C22×D17—21no—
680C22×D17—21no—
681C22×D17—21no—
682C22×D17—21no—
683C22×D17—21no—
684C22×D17—21no—
685C22×D17—28no—
686C22×D17—21no—
687C22×D17—21no—
688C22×D17—21no—
689C22×D17—21no—
690C22×D17—21no—
691C22×D17—21no—
692C22×D17—28no—
693C22×D17—28no—
694C22×D17—21no—
695C22×D17—21no—
696C22×D17—21no—
697C22×D17—21no—
698C22×D17—21no—
699C22×D17—21no—
700C22×D17—21no—
701C22×D17—44no—
702C22×D17—44no—
703C22×D17—44no—
704C22×D17—44no—
705C22×D17—44no—
706C22×D17—44no—
707C22×D17—44no—
708C22×D17—44no—
709C22×D17—44no—
710C22×D17—44no—
711C22×D17—44no—
712C22×D17—44no—
713C22×D17—44no—
714C22×D17—44no—
715C22×D17—82no—
716C22×D17—82no—
717C22×D17—82no—
718C22×D17—82no—
719C22×D17C22×D412yes—
720C22×D17C2×#4112yes—
721C22×D17C2×#4112yes—
722C22×D17C2×#4112yes—
723C22×D17C2×#4112yes—
724C22×D17H(5,𝔽2)12yes—
725C22×D17H(5,𝔽2)12yes—
726D4×C17—28no—
727D4×C17—44no—
728D4×C17—44no—
729D4×C17—82no—
730D4×C17—82no—
731D4×C17—82no—
732C2×C4×C17—21no—
733C2×C4×C17—21no—
734C2×C4×C17—21no—
735C2×C4×C17—21no—
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—21no—
762C2×C4×C17—44no—
763C2×C4×C17—44no—
764C2×C4×C17C22×D412yes—
765C2×C4×C17C22×D412yes—
766C2×C4×C17C2×#4112yes—
767C22⋊D17—28no—
768C22⋊D17—28no—
769C22⋊D17—44no—
770C22⋊D17—44no—
771C22⋊D17—44no—
772C22⋊D17—44no—
773C22⋊D17—82no—
774C22⋊D17—82no—
775C22⋊D17—82no—
776C22⋊D17—82no—
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—44no—
810C2×Dic17—44no—
811C2×Dic17—82no—
812C2×Dic17C22×D412yes—
813C2×Dic17C22×D412yes—
814C2×Dic17C22×D412yes—
815C2×Dic17H(5,𝔽2)12yes—
816D68—28no—
817D68—44no—
818D68—82no—
819C4×D17—28no—
820C4×D17—28no—
821C4×D17—44no—
822C4×D17—44no—
823C4×D17—44no—
824C4×D17—44no—
825C4×D17—44no—
826C4×D17—44no—
827C4×D17—44no—
828C4×D17—44no—
829C4×D17—82no—
830C4×D17—82no—
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#2635D1711yescharacteristic, complemented
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#2410—171no—
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—41no—
870C22×C17—41no—
871C22×C17—41no—
872C22×C17—41no—
873C22×C17—41no—
874C22×C17—41no—
875C22×C17—41no—
876C22×C17—41no—
877C22×C17—41no—
878C22×C17—41no—
879C22×C17—41no—
880C22×C17—41no—
881C22×C17—41no—
882C22×C17—41no—
883C22×C17—41no—
884C22×C17—41no—
885C22×C17—41no—
886C22×C17—41no—
887C22×C17—41no—
888C22×C17—41no—
889C22×C17—41no—
890C22×C17—41no—
891C22×C17C23×D411yescharacteristic
892C22×C17C22×#4111yescharacteristic
893C22×C17C22×#4111yescharacteristic
894C22×C17C2×H(5,𝔽2)11yescharacteristic
895C22×C17C2×H(5,𝔽2)11yescharacteristic
896C22×C17C2×H(5,𝔽2)11yescharacteristic
897C22×C17#58511yescharacteristic
898C2×D17—22no—
899C2×D17—22no—
900C2×D17—22no—
901C2×D17—22no—
902C2×D17—22no—
903C2×D17—22no—
904C2×D17—22no—
905C2×D17—22no—
906C2×D17—22no—
907C2×D17—22no—
908C2×D17—22no—
909C2×D17—22no—
910C2×D17—22no—
911C2×D17—22no—
912C2×D17—22no—
913C2×D17—416no—
914C2×D17—416no—
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—88no—
927C2×D17#52514yes—
928C2×D17#53814yescomplemented
929C4×C17—22no—
930C4×C17—22no—
931C4×C17—22no—
932C4×C17—41no—
933C4×C17—41no—
934C4×C17—41no—
935C4×C17—41no—
936C4×C17—41no—
937C4×C17—41no—
938C4×C17—41no—
939C4×C17—41no—
940Dic17—22no—
941Dic17—22no—
942Dic17—22no—
943Dic17—22no—
944Dic17—41no—
945Dic17—41no—
946Dic17—41no—
947Dic17—41no—
948Dic17—41no—
949Dic17—41no—
950Dic17—41no—
951Dic17—41no—
952C23×D4—171no—
953C23×D4—171no—
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×#121—171no—
972C2×#121C2×D1711yescharacteristic, complemented
973C2×#120—171no—
974C2×#120—171no—
975C2×#120—171no—
976C2×#120—171no—
977C2×#120—171no—
978C2×#120—171no—
979C2×#120—171no—
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—348no—
991C2×C4×D4C2×D1711yescharacteristic, complemented
992C22×C4⋊C4—171no—
993C22×C22⋊C4—171no—
994C22×C22⋊C4—171no—
995C22×C22⋊C4—171no—
996C22×C22⋊C4—171no—
997C22×C22⋊C4—171no—
998C22×C42—171no—
999#400—171no—
1000#400C2×D1711yescharacteristic, complemented
1001#399—171no—
1002#399C2×D1711yescharacteristic, complemented
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#394C2×D1711yescharacteristic, complemented
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#392C2×D1711yescharacteristic
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#388C2×D1711yescharacteristic, complemented
1046#388C2×D1711yescharacteristic, complemented
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#386—171no—
1079#386C2×D1711yescharacteristic, complemented
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#385—171no—
1093#383—171no—
1094#382—171no—
1095#381—171no—
1096#381C2×D1711yescharacteristic, complemented
1097#380—171no—
1098#380—171no—
1099#380—171no—
1100#380—171no—
1101#379—171no—
1102#379—171no—
1103#379—171no—
1104C4×C22⋊C4—171no—
1105C4×C22⋊C4—171no—
1106C4×C22⋊C4—171no—
1107C2×#95—171no—
1108C2×#95—171no—
1109C2×C17—42no—
1110C2×C17—42no—
1111C2×C17—81no—
1112C2×C17—81no—
1113C2×C17C2×#52511yescharacteristic
1114C2×C17C2×#53811yescharacteristic
1115C2×C17#345911yescharacteristic
1116C2×C17#348411yescharacteristic
1117C2×C17#348811yescharacteristic
1118C2×C17#351311yescharacteristic
1119C2×C17#351911yescharacteristic
1120D17—24no—
1121D17—24no—
1122D17—42no—
1123D17—81no—
1124C25—171no—
1125C25—171no—
1126C25—171no—
1127C22×Q8—171no—
1128C22×D4—171no—
1129C22×D4—171no—
1130C22×D4—171no—
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—344no—
1143C22×D4—344no—
1144C22×D4—344no—
1145C22×D4—682no—
1146C22×D4—682no—
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—171no—
1168C23×C4—344no—
1169C23×C4—344no—
1170C23×C4—682no—
1171C23×C4—682no—
1172C23×C4—682no—
1173C23×C4—682no—
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—344no—
1187#121—344no—
1188#121—344no—
1189#121—682no—
1190#121—682no—
1191#121—682no—
1192#120—344no—
1193#120—344no—
1194#120—344no—
1195#120—344no—
1196#120—682no—
1197#120—682no—
1198#120—682no—
1199C4×D4—24no—
1200C4×D4—178no—
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—344no—
1227C2×C4⋊C4C22×D1711yescharacteristic
1228C2×C4⋊C4C22×D1711yescharacteristic
1229C2×C4⋊C4C22×D1711yescharacteristic
1230C2×C4⋊C4C22×D1711yescharacteristic
1231C2×C22⋊C4—171no—
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⋊C4—682no—
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—344no—
1299C2×C42C22×D1711yescharacteristic
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#95C22×D1711yescharacteristic
1325#95C22×D1711yescharacteristic
1326#95C22×D1711yescharacteristic
1327#95C22×D1711yescharacteristic
1328#95C22×D1711yescharacteristic
1329#95C22×D1711yescharacteristic
1330#95C22×D1711yescharacteristic
1331#95C22×D1711yescharacteristic
1332C17#3499011yescharacteristic, complemented, Sylow
1333C24—171no—
1334C24—171no—
1335C24—171no—
1336C24—174no—
1337C24—171no—
1338C24—342no—
1339C24—342no—
1340C24—342no—
1341C24—342no—
1342C24—342no—
1343C24—342no—
1344C24—342no—
1345C24—342no—
1346C24—342no—
1347C24—342no—
1348C24—342no—
1349C24—342no—
1350C24—681no—
1351C24—681no—
1352C24—681no—
1353C24—681no—
1354C24—681no—
1355C24—681no—
1356C24—681no—
1357C24—681no—
1358C24C23×D1711yescharacteristic
1359C24C23×D1711yescharacteristic
1360C24C23×D1711yescharacteristic
1361C24C23×D1711yescharacteristic
1362C2×Q8—342no—
1363C2×Q8—681no—
1364C2×Q8—681no—
1365C2×D4—22no—
1366C2×D4—22no—
1367C2×D4—22no—
1368C2×D4—22no—
1369C2×D4—22no—
1370C2×D4—22no—
1371C2×D4—22no—
1372C2×D4—22no—
1373C2×D4—41no—
1374C2×D4—41no—
1375C2×D4—41no—
1376C2×D4—41no—
1377C2×D4—41no—
1378C2×D4—41no—
1379C2×D4—41no—
1380C2×D4—41no—
1381C2×D4—41no—
1382C2×D4—41no—
1383C2×D4—174no—
1384C2×D4—174no—
1385C2×D4—342no—
1386C2×D4—342no—
1387C2×D4—342no—
1388C2×D4—342no—
1389C2×D4—342no—
1390C2×D4—342no—
1391C2×D4—342no—
1392C2×D4—342no—
1393C2×D4—3432no—
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—342no—
1406C2×D4—342no—
1407C2×D4—342no—
1408C2×D4—342no—
1409C2×D4—342no—
1410C2×D4—342no—
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—681no—
1422C2×D4—681no—
1423C2×D4—6816no—
1424C22×C4—22no—
1425C22×C4—41no—
1426C22×C4—41no—
1427C22×C4—41no—
1428C22×C4—41no—
1429C22×C4—171no—
1430C22×C4—171no—
1431C22×C4—171no—
1432C22×C4—171no—
1433C22×C4—174no—
1434C22×C4—171no—
1435C22×C4—171no—
1436C22×C4—171no—
1437C22×C4—171no—
1438C22×C4—171no—
1439C22×C4—171no—
1440C22×C4—171no—
1441C22×C4—171no—
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—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—681no—
1468C22×C4—681no—
1469C22×C4—681no—
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—6816no—
1483C22×C4—6816no—
1484C22×C4—681no—
1485C22×C4—681no—
1486C22×C4—681no—
1487C22×C4—681no—
1488C22×C4D4×D1714yescomplemented
1489C22×C4C23×D1711yescharacteristic
1490C22×C4C23×D1711yescharacteristic
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—41no—
1503C4⋊C4—41no—
1504C4⋊C4—174no—
1505C4⋊C4—342no—
1506C4⋊C4—342no—
1507C4⋊C4—342no—
1508C4⋊C4—342no—
1509C4⋊C4—342no—
1510C4⋊C4—342no—
1511C4⋊C4—342no—
1512C4⋊C4—342no—
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—41no—
1527C22⋊C4—41no—
1528C22⋊C4—41no—
1529C22⋊C4—41no—
1530C22⋊C4—41no—
1531C22⋊C4—41no—
1532C22⋊C4—41no—
1533C22⋊C4—41no—
1534C22⋊C4—174no—
1535C22⋊C4—174no—
1536C22⋊C4—342no—
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—342no—
1562C22⋊C4—342no—
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—22no—
1577C42—174no—
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—21no—
1592C23—21no—
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—172no—
1610C23—172no—
1611C23—172no—
1612C23—172no—
1613C23—172no—
1614C23—172no—
1615C23—172no—
1616C23—348no—
1617C23—348no—
1618C23—348no—
1619C23—341no—
1620C23—341no—
1621C23—341no—
1622C23—341no—
1623C23—341no—
1624C23—341no—
1625C23—341no—
1626C23—341no—
1627C23—341no—
1628C23—341no—
1629C23—341no—
1630C23—341no—
1631C23—341no—
1632C23—341no—
1633C23—341no—
1634C23—341no—
1635C23—341no—
1636C23—341no—
1637C23—341no—
1638C23—341no—
1639C23—341no—
1640C23—684no—
1641C23—684no—
1642C23—684no—
1643C23—684no—
1644C23—684no—
1645C23—684no—
1646C23—684no—
1647C23—684no—
1648C23—684no—
1649C23—684no—
1650C23—684no—
1651C23—684no—
1652C23—684no—
1653C23—684no—
1654C23—1362no—
1655C23—1362no—
1656C23—1362no—
1657C23—1362no—
1658C23C2×D4×D1712yes—
1659C23#41×D1712yes—
1660C23C24×D1711yescharacteristic
1661Q8—1362no—
1662D4—28no—
1663D4—44no—
1664D4—44no—
1665D4—82no—
1666D4—82no—
1667D4—82no—
1668D4—348no—
1669D4—348no—
1670D4—348no—
1671D4—684no—
1672D4—684no—
1673D4—684no—
1674D4—684no—
1675D4—684no—
1676D4—1362no—
1677D4—1362no—
1678D4—1362no—
1679D4—1362no—
1680D4—1362no—
1681C2×C4—21no—
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—21no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—44no—
1712C2×C4—44no—
1713C2×C4—172no—
1714C2×C4—172no—
1715C2×C4—172no—
1716C2×C4—172no—
1717C2×C4—348no—
1718C2×C4—348no—
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—684no—
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—1362no—
1762C2×C4—1362no—
1763C2×C4—1362no—
1764C2×C4C2×D4×D1712yes—
1765C2×C4C2×D4×D1712yes—
1766C2×C4#41×D1712yes—
1767C22—22no—
1768C22—22no—
1769C22—22no—
1770C22—22no—
1771C22—22no—
1772C22—22no—
1773C22—41no—
1774C22—41no—
1775C22—41no—
1776C22—41no—
1777C22—41no—
1778C22—41no—
1779C22—41no—
1780C22—41no—
1781C22—41no—
1782C22—41no—
1783C22—41no—
1784C22—41no—
1785C22—41no—
1786C22—41no—
1787C22—41no—
1788C22—41no—
1789C22—41no—
1790C22—41no—
1791C22—41no—
1792C22—41no—
1793C22—41no—
1794C22—41no—
1795C22—174no—
1796C22—174no—
1797C22—342no—
1798C22—342no—
1799C22—342no—
1800C22—342no—
1801C22—342no—
1802C22—342no—
1803C22—342no—
1804C22—342no—
1805C22—342no—
1806C22—342no—
1807C22—342no—
1808C22—342no—
1809C22—342no—
1810C22—342no—
1811C22—342no—
1812C22—6816no—
1813C22—6816no—
1814C22—681no—
1815C22—681no—
1816C22—681no—
1817C22—681no—
1818C22—681no—
1819C22—681no—
1820C22—681no—
1821C22—681no—
1822C22—681no—
1823C22—681no—
1824C22—681no—
1825C22—1368no—
1826C22C22×D4×D1711yescharacteristic
1827C22C2×#41×D1711yescharacteristic
1828C22C2×#41×D1711yescharacteristic
1829C22H(5,𝔽2)×D1711yescharacteristic
1830C22H(5,𝔽2)×D1711yescharacteristic
1831C22H(5,𝔽2)×D1711yescharacteristic
1832C22#1176364411yescharacteristic
1833C4—22no—
1834C4—22no—
1835C4—22no—
1836C4—41no—
1837C4—41no—
1838C4—41no—
1839C4—41no—
1840C4—41no—
1841C4—41no—
1842C4—41no—
1843C4—41no—
1844C4—342no—
1845C4—342no—
1846C4—342no—
1847C4—342no—
1848C4—681no—
1849C4—681no—
1850C4—681no—
1851C4—681no—
1852C4—681no—
1853C4—681no—
1854C4—681no—
1855C4—681no—
1856C2—42no—
1857C2—42no—
1858C2—81no—
1859C2—81no—
1860C2—344no—
1861C2—344no—
1862C2—682no—
1863C2—1361no—
1864C2D17×#52511yescharacteristic
1865C2D17×#53811yescharacteristic
1866C2#1454219511yescharacteristic
1867C2#1454241611yescharacteristic
1868C2#1454245111yescharacteristic
1869C2#1454272211yescharacteristic
1870C2#1454281411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D17
commutator, socle, cosocleC23×C17C25
FittingC17×#2635C2
hypercenter#2635D17
hypocenterC17#34990
LCSG ▷ C23×C17 ▷ C17
UCSC1 ◁ C23 ◁ #2635

Complements

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

NH ≅ G/Ntype
1. C2×#11763391C2semidirect
2. C2×C4×D4×D17C2semidirect
3. #14537098C2semidirect
4. #14537082C2semidirect
5. #14537077C2semidirect
6. #14537063C2semidirect
7. #14534685C2semidirect
8. #14534640C2semidirect
9. #14534621C2semidirect
10. #14533048C2semidirect
11. #14532905C2semidirect
12. #14532838C2semidirect
13. #14532716C2semidirect
14. #14532677C2semidirect
15. #14532669C2semidirect
16. #14532611C2semidirect
17. #14532527C2semidirect
18. #14532512C2semidirect
19. #14532451C2semidirect
20. #14532321C2semidirect
21. #14532313C2semidirect
22. #14532241C2semidirect
23. #14532151C2semidirect
24. #14532151C2semidirect
25. #14532093C2semidirect
26. #14531488C2semidirect
27. #14531446C2semidirect
28. #14531413C2semidirect
29. #14531289C2semidirect
30. D17×#386C2semidirect
31. C17×#2635C2semidirect
35. C23×C4×D17C22semidirect
37. C2×#10587584C22semidirect
38. C2×#10587565C22semidirect
39. C2×#10587622C22semidirect
40. C2×#10587571C22semidirect
41. C2×#10587572C22semidirect
42. C2×#10587615C22semidirect
43. C2×#10587621C22semidirect
44. C2×#10587582C22semidirect
45. C2×#10587582C22semidirect
48. C2×#10587625C22semidirect
51. C2×#10587624C22semidirect
57. C2×#10587623C22semidirect
58. C2×#10587623C22semidirect
60. C2×D4×Dic17C22semidirect
61. C2×D4×Dic17C22semidirect
64. C2×C4×C22⋊D17C22semidirect
66. C2×#10587567C22semidirect
67. C2×#10587567C22semidirect
68. C2×#10587567C22semidirect
70. C2×C4⋊C4×D17C22semidirect
73. C2×C22⋊C4×D17C22semidirect
74. C2×C22⋊C4×D17C22semidirect
75. C2×C22⋊C4×D17C22semidirect
76. C2×C42×D17C22semidirect
77. #11762751C22semidirect
78. #11762745C22semidirect
79. #11762742C22semidirect
80. #11762738C22semidirect
81. #11762737C22semidirect
82. #11762737C22semidirect
83. #11762733C22semidirect
84. #11762732C22semidirect
85. #11762732C22semidirect
86. #11762731C22semidirect
87. #11762725C22semidirect
88. #11762725C22semidirect
89. #11762724C22semidirect
90. #11762724C22semidirect
91. #11762723C22semidirect
92. #11762723C22semidirect
93. #11762722C22semidirect
94. #11762721C22semidirect
96. #11762718C22semidirect
99. #11762717C22semidirect
100. #11762717C22semidirect
101. #11762713C22semidirect
102. #11762710C22semidirect
103. #11762709C22semidirect
104. #11762709C22semidirect
105. #11762703C22semidirect
106. #11762703C22semidirect
107. #11762702C22semidirect
108. #11762702C22semidirect
109. #11762701C22semidirect
110. #11762700C22semidirect
111. #11762699C22semidirect
112. #11762699C22semidirect
113. #11762697C22semidirect
114. #11762697C22semidirect
115. #11762696C22semidirect
116. #11762696C22semidirect
117. #11762696C22semidirect
118. #11762695C22semidirect
119. #11762693C22semidirect
120. #11762692C22semidirect
121. #11762689C22semidirect
122. #11762689C22semidirect
123. #11762689C22semidirect
124. #11762688C22semidirect
131. #11762687C22semidirect
132. #11762687C22semidirect
133. #11762686C22semidirect
134. #11762686C22semidirect
141. #11762685C22semidirect
142. #11762685C22semidirect
143. #11762685C22semidirect
144. #11762685C22semidirect
145. #11762685C22semidirect
146. #11762685C22semidirect
147. #11762684C22semidirect
148. #11762683C22semidirect
149. #11762683C22semidirect
150. #11762683C22semidirect
151. #11762683C22semidirect
152. #11762683C22semidirect
153. #11762683C22semidirect
154. #11762683C22semidirect
155. #11762683C22semidirect
156. #11762682C22semidirect
157. #11762680C22semidirect
158. #11762680C22semidirect
159. #11762676C22semidirect
160. #11762673C22semidirect
161. #11762670C22semidirect
162. #11762669C22semidirect
163. #11762666C22semidirect
164. #11762666C22semidirect
165. #11762666C22semidirect
167. #11762664C22semidirect
168. #11762664C22semidirect
169. C22⋊C4×Dic17C22semidirect
170. #11762656C22semidirect
171. #11762656C22semidirect
172. #95×D17C22semidirect
173. #95×D17C22semidirect
174. C2×C17×#121C22semidirect
175. C2×C4×D4×C17C22semidirect
176. C17×#400C22semidirect
177. C17×#399C22semidirect
178. C17×#394C22semidirect
179. C17×#394C22semidirect
180. C17×#394C22semidirect
182. C17×#392C22semidirect
183. C17×#392C22semidirect
184. C17×#388C22semidirect
185. C17×#388C22semidirect
186. C17×#386C22semidirect
187. C17×#386C22semidirect
188. C17×#381C22semidirect
293. C4×C22⋊D17D4semidirect
449. C22×C4×C17C2×D4semidirect
598. C22⋊Dic17C2×D4semidirect
640. #63225C2×D4semidirect
646. C4×Dic17C2×D4semidirect
839. #2635D17semidirect
928. C2×D17#538semidirect
972. C2×#121C2×D17semidirect
991. C2×C4×D4C2×D17semidirect
1000. #400C2×D17semidirect
1002. #399C2×D17semidirect
1017. #394C2×D17semidirect
1018. #394C2×D17semidirect
1019. #394C2×D17semidirect
1029. #392C2×D17semidirect
1030. #392C2×D17semidirect
1045. #388C2×D17semidirect
1046. #388C2×D17semidirect
1079. #386C2×D17semidirect
1080. #386C2×D17semidirect
1096. #381C2×D17semidirect
1332. C17#34990semidirect
1488. C22×C4D4×D17semidirect

Maximal subgroups

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

subgroupindex
C2×#117633912
C2×C4×D4×D172
#145370982
#145370822
#145370772
#145370632
#145346852
#145346402
#145346212
#145330482
#145329052
#145328382
#145327162
#145326772
#145326692
#145326112
#145325272
#145325122
#145324512
#145323212
#145323132
#145322412
#145321512
#145320932
#145314882
#145314462
#145314132
#145312892
D17×#3862
C17×#26352
#3499017