Finite Group Databasebeta

← #17242667

Subgroups — #17242667

Order 4352.

2454 conjugacy classes of subgroups.

The subgroup lattice has 1786 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#14537076C211yesmaximal, characteristic, complemented
2#14536405C211yesmaximal, characteristic, complemented
3#14536398C211yesmaximal, characteristic, complemented
4#14536160C211yesmaximal, characteristic, complemented
5#14536023C211yesmaximal, characteristic, complemented
6#14536011C211yesmaximal, characteristic, complemented
7#14536010C211yesmaximal, characteristic, complemented
8#14535919C211yesmaximal, characteristic, complemented
9#14535430C211yesmaximal, characteristic, complemented
10#14535348C211yesmaximal, characteristic, complemented
11#14535334C211yesmaximal, characteristic, complemented
12#14535218C211yesmaximal, characteristic, complemented
13#14535216C211yesmaximal, characteristic, complemented
14#14535163C211yesmaximal, characteristic, complemented
15#14535112C211yesmaximal, characteristic, complemented
16#14535079C211yesmaximal, characteristic, complemented
17#14534987C211yesmaximal, characteristic, complemented
18#14534739C211yesmaximal, characteristic, complemented
19#14534714C211yesmaximal, characteristic, complemented
20#14533340C211yesmaximal, characteristic, complemented
21#14532909C211yesmaximal, characteristic, complemented
22#14532530C211yesmaximal, characteristic, complemented
23#14532452C211yesmaximal, characteristic, complemented
24#14532324C211yesmaximal, characteristic, complemented
25#14532155C211yesmaximal, characteristic, complemented
26#14532154C211yesmaximal, characteristic, complemented
27#14532095C211yesmaximal, characteristic, complemented
28#14531447C211yesmaximal, characteristic, complemented
29#14531358C211yesmaximal, characteristic, complemented
30C2×#11762688C211yesmaximal, characteristic, complemented
31C17×#2847C211yesmaximal, characteristic, complemented
32C23×C22⋊D17C2211yescharacteristic
33C22×D4×D17C2211yescharacteristic
34C2×#10587622C2211yescharacteristic, complemented
35C2×#10587615C2211yescharacteristic, complemented
36C2×#10587615C2211yescharacteristic, complemented
37C2×#10587582C2211yescharacteristic, complemented
38C2×#10587564C2211yescharacteristic, complemented
39C2×#10587625C2211yescharacteristic
40C2×#10587625C2211yescharacteristic, complemented
41C2×#10587624C2211yescharacteristic, complemented
42C2×#10587624C2211yescharacteristic, complemented
43C2×#10587639C2211yescharacteristic
44C2×#10587623C2211yescharacteristic
45C2×#10587623C2211yescharacteristic
46C2×#10587623C2211yescharacteristic
47C2×#10587623C2211yescharacteristic, complemented
48C2×D4×Dic17C2211yescharacteristic, complemented
49C22×C22⋊Dic17C2211yescharacteristic, complemented
50C22×#63227C2211yescharacteristic
51C22×#63227C2211yescharacteristic
52C2×C22⋊C4×D17C2211yescharacteristic
53C17⋊#401C2211yescharacteristic, complemented
54C17⋊#401C2211yescharacteristic, complemented
55#11762751C2211yescharacteristic, complemented
56#11762751C2211yescharacteristic, complemented
57#11762750C2211yescharacteristic, complemented
58#11762750C2211yescharacteristic, complemented
59#11762749C2211yescharacteristic, complemented
60#11762748C2211yescharacteristic, complemented
61#11762748C2211yescharacteristic, complemented
62#11762744C2211yescharacteristic, complemented
63#11762738C2211yescharacteristic, complemented
64#11762737C2211yescharacteristic, complemented
65#11762737C2211yescharacteristic, complemented
66#11762737C2211yescharacteristic, complemented
67#11762737C2211yescharacteristic, complemented
68#11762736C2211yescharacteristic, complemented
69#11762735C2211yescharacteristic, complemented
70#11762734C2211yescharacteristic, complemented
71#11762734C2211yescharacteristic, complemented
72#11762734C2211yescharacteristic, complemented
73#11762733C2211yescharacteristic, complemented
74#11762732C2211yescharacteristic, complemented
75#11762732C2211yescharacteristic, complemented
76#11762731C2211yescharacteristic, complemented
77#11762726C2211yescharacteristic, complemented
78#11762725C2211yescharacteristic
79#11762725C2211yescharacteristic
80#11762725C2211yescharacteristic, complemented
81#11762725C2211yescharacteristic, complemented
82#11762724C2211yescharacteristic, complemented
83#11762724C2211yescharacteristic, complemented
84#11762723C2211yescharacteristic, complemented
85#11762723C2211yescharacteristic, complemented
86#11762723C2211yescharacteristic, complemented
87#11762723C2211yescharacteristic, complemented
88#11762722C2211yescharacteristic, complemented
89#11762722C2211yescharacteristic, complemented
90#11762721C2211yescharacteristic, complemented
91#11762721C2211yescharacteristic, complemented
92#11762718C2211yescharacteristic
93#11762718C2211yescharacteristic
94#11762718C2211yescharacteristic, complemented
95#11762717C2211yescharacteristic
96#11762717C2211yescharacteristic
97#11762717C2211yescharacteristic
98#11762717C2211yescharacteristic
99#11762717C2211yescharacteristic, complemented
100#11762717C2211yescharacteristic, complemented
101#11762712C2211yescharacteristic, complemented
102#11762709C2211yescharacteristic, complemented
103#11762709C2211yescharacteristic, complemented
104#11762709C2211yescharacteristic, complemented
105#11762703C2211yescharacteristic, complemented
106#11762703C2211yescharacteristic, complemented
107#11762703C2211yescharacteristic, complemented
108#11762701C2211yescharacteristic, complemented
109#11762701C2211yescharacteristic, complemented
110#11762701C2211yescharacteristic, complemented
111#11762699C2211yescharacteristic, complemented
112#11762698C2211yescharacteristic, complemented
113#11762698C2211yescharacteristic, complemented
114#11762697C2211yescharacteristic, complemented
115#11762695C2211yescharacteristic, complemented
116#11762690C2211yescharacteristic, complemented
117#11762689C2211yescharacteristic
118#11762689C2211yescharacteristic
119#11762689C2211yescharacteristic
120#11762689C2211yescharacteristic, complemented
121#11762689C2211yescharacteristic, complemented
122#11762689C2211yescharacteristic, complemented
123#11762688C2211yescharacteristic
124#11762688C2211yescharacteristic
125#11762688C2211yescharacteristic
126#11762688C2211yescharacteristic
127#11762688C2211yescharacteristic
128#11762688C2211yescharacteristic
129#11762688C2211yescharacteristic, complemented
130#11762688C2211yescharacteristic, complemented
131#11762688C2211yescharacteristic, complemented
132#11762688C2211yescharacteristic, complemented
133#11762688C2211yescharacteristic, complemented
134#11762688C2211yescharacteristic, complemented
135#11762687C2211yescharacteristic, complemented
136#11762687C2211yescharacteristic, complemented
137#11762686C2211yescharacteristic
138#11762686C2211yescharacteristic
139#11762686C2211yescharacteristic, complemented
140#11762686C2211yescharacteristic, complemented
141#11762685C2211yescharacteristic
142#11762685C2211yescharacteristic
143#11762685C2211yescharacteristic, complemented
144#11762685C2211yescharacteristic, complemented
145#11762685C2211yescharacteristic, complemented
146#11762685C2211yescharacteristic, complemented
147#11762685C2211yescharacteristic, complemented
148#11762684C2211yescharacteristic, complemented
149#11762683C2211yescharacteristic, complemented
150#11762682C2211yescharacteristic, complemented
151#11762682C2211yescharacteristic, complemented
152#11762682C2211yescharacteristic, complemented
153#11762682C2211yescharacteristic, complemented
154#11762681C2211yescharacteristic, complemented
155#11762680C2211yescharacteristic, complemented
156#11762680C2211yescharacteristic, complemented
157#11762676C2211yescharacteristic, complemented
158#11762672C2211yescharacteristic, complemented
159#11762672C2211yescharacteristic, complemented
160#11762671C2211yescharacteristic, complemented
161#11762671C2211yescharacteristic, complemented
162#11762670C2211yescharacteristic, complemented
163#11762668C2211yescharacteristic, complemented
164#11762665C2211yescharacteristic, complemented
165#11762664C2211yescharacteristic
166#11762664C2211yescharacteristic, complemented
167#11762664C2211yescharacteristic, complemented
168#11762664C2211yescharacteristic, complemented
169C22⋊C4×Dic17C2211yescharacteristic, complemented
170C2×#10587502C2211yescharacteristic, complemented
171C2×#10587502C2211yescharacteristic, complemented
172C24×C4×C17C2211yescharacteristic, complemented
173C2×C17×#121C2211yescharacteristic
174C2×C17×#121C2211yescharacteristic, complemented
175C2×C17×#121C2211yescharacteristic, complemented
176C2×C17×#120C2211yescharacteristic
177C2×C17×#120C2211yescharacteristic, complemented
178C17×#386C2211yescharacteristic
179C17×#386C2211yescharacteristic, complemented
180C17×#386C2211yescharacteristic, complemented
181C17×#386C2211yescharacteristic, complemented
182C17×#386C2211yescharacteristic, complemented
183C17×#386C2211yescharacteristic, complemented
184C17×#380C2211yescharacteristic, complemented
185C17×#380C2211yescharacteristic, complemented
186C17×#380C2211yescharacteristic, complemented
187C25×C17C2311yescharacteristic
188C24×D17C2311yescharacteristic
189C24×D17C2311yescharacteristic
190C22×D4×C17C2311yescharacteristic
191C22×D4×C17C2311yescharacteristic
192C22×D4×C17C2311yescharacteristic
193C22×D4×C17C2311yescharacteristic
194C22×D4×C17C2311yescharacteristic
195C22×D4×C17C2311yescharacteristic
196C22×D4×C17C2311yescharacteristic
197C23×C4×C17—42no—
198C23×C4×C17—42no—
199C23×C4×C17—42no—
200C23×C4×C17C2311yescharacteristic
201C23×C4×C17C2311yescharacteristic
202C23×C4×C17C2311yescharacteristic
203C23×C4×C17C2311yescharacteristic
204C23×C4×C17C2311yescharacteristic
205C23×C4×C17C2311yescharacteristic
206C22×C22⋊D17—24no—
207C22×C22⋊D17—42no—
208C22×C22⋊D17—42no—
209C22×C22⋊D17C2311yescharacteristic
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×Dic17C2311yescharacteristic
221C23×Dic17C2311yescharacteristic
222C23×Dic17C2311yescharacteristic
223C23×Dic17C2311yescharacteristic
224C2×D4×D17—24no—
225C2×D4×D17—42no—
226C2×D4×D17—42no—
227C22×D68C2311yescharacteristic
228C22×C4×D17C2311yescharacteristic
229C22×C4×D17C2311yescharacteristic
230C22×C4×D17C2311yescharacteristic
231C22×Dic34C2311yescharacteristic
232C17×#121—42no—
233C17×#121—42no—
234C17×#121—42no—
235C17×#120—42no—
236C17×#120—42no—
237C2×C4⋊C4×C17C2311yescharacteristic
238C2×C4⋊C4×C17C2311yescharacteristic
239C2×C4⋊C4×C17C2311yescharacteristic
240C2×C22⋊C4×C17C2311yescharacteristic
241C2×C22⋊C4×C17C2311yescharacteristic
242C2×C22⋊C4×C17C2311yescharacteristic
243C2×C22⋊C4×C17C2311yescharacteristic
244C2×C22⋊C4×C17C2311yescharacteristic
245C2×C22⋊C4×C17C2311yescharacteristic
246C2×C22⋊C4×C17C2311yescharacteristic
247C2×C22⋊C4×C17C2311yescharacteristic
248C2×C22⋊C4×C17C2311yescharacteristic
249C2×C22⋊C4×C17C2311yescharacteristic
250C2×C22⋊C4×C17C2311yescharacteristic
251C2×C22⋊C4×C17C2311yescharacteristic
252#10587639—42no—
253C2×C22⋊Dic17—42no—
254C2×C22⋊Dic17C2311yescharacteristic
255C2×C22⋊Dic17C2311yescharacteristic
256C2×C22⋊Dic17C2311yescharacteristic
257C2×C22⋊Dic17C2311yescharacteristic
258C2×C22⋊Dic17C2311yescharacteristic
259C2×C22⋊Dic17C2311yescharacteristic
260C2×C22⋊Dic17C2311yescharacteristic
261C2×C22⋊Dic17C2311yescharacteristic
262C2×C22⋊Dic17C2311yescharacteristic
263C2×C22⋊Dic17C2311yescharacteristic
264C2×C22⋊Dic17C2311yescharacteristic
265C2×C22⋊Dic17C2311yescharacteristic
266C2×C22⋊Dic17C2311yescharacteristic
267C2×C22⋊Dic17C2311yescharacteristic
268C2×C22⋊Dic17C2311yescharacteristic
269C2×C22⋊Dic17C2311yescharacteristic
270C2×C22⋊Dic17C2311yescharacteristic
271C2×C22⋊Dic17C2311yescharacteristic
272C2×C22⋊Dic17C2311yescharacteristic
273C2×C22⋊Dic17C2311yescharacteristic
274C2×C22⋊Dic17C2311yescharacteristic
275C2×C22⋊Dic17C2311yescharacteristic
276C2×C22⋊Dic17C2311yescharacteristic
277#10587625—42no—
278#10587625—42no—
279#10587624—42no—
280#10587624—42no—
281#10587623—24no—
282#10587623—42no—
283#10587623—42no—
284#10587623—42no—
285#10587622—42no—
286D4×Dic17—42no—
287#10587615—42no—
288#10587615—42no—
289C2×#63227—42no—
290C2×#63227—42no—
291C2×#63227C2311yescharacteristic
292C2×#63227C2311yescharacteristic
293C2×#63227C2311yescharacteristic
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×C4⋊Dic17C2311yescharacteristic
317C2×C4⋊Dic17C2311yescharacteristic
318C2×C4⋊Dic17C2311yescharacteristic
319C2×C4⋊Dic17C2311yescharacteristic
320C2×#63225C2311yescharacteristic
321C2×#63225C2311yescharacteristic
322C2×#63225C2311yescharacteristic
323C2×#63225C2311yescharacteristic
324C2×#63225C2311yescharacteristic
325C2×#63225C2311yescharacteristic
326C2×#63225C2311yescharacteristic
327C2×#63225C2311yescharacteristic
328C2×#63225C2311yescharacteristic
329C2×C4×Dic17C2311yescharacteristic
330C2×C4×Dic17C2311yescharacteristic
331C2×C4×Dic17C2311yescharacteristic
332#10587582—42no—
333C22⋊C4×D17—42no—
334#10587564—42no—
335C17×#95C2311yescharacteristic
336C17×#95C2311yescharacteristic
337C17×#95C2311yescharacteristic
338C17×#95C2311yescharacteristic
339C17×#95C2311yescharacteristic
340C17×#95C2311yescharacteristic
341#10587502C2311yescharacteristic
342#10587502C2311yescharacteristic
343#10587502C2311yescharacteristic
344#10587502C2311yescharacteristic
345#10587502C2311yescharacteristic
346#10587502C2311yescharacteristic
347#10587502C2311yescharacteristic
348#10587502C2311yescharacteristic
349#10587502C2311yescharacteristic
350#10587502C2311yescharacteristic
351#10587502C2311yescharacteristic
352#10587502C2311yescharacteristic
353#10587502C2311yescharacteristic
354#10587502C2311yescharacteristic
355#10587502C2311yescharacteristic
356#10587502C2311yescharacteristic
357#10587502C2311yescharacteristic
358#10587502C2311yescharacteristic
359#10587502C2311yescharacteristic
360#10587502C2311yescharacteristic
361#10587502C2311yescharacteristic
362#10587502C2311yescharacteristic
363#10587502C2311yescharacteristic
364#10587502C2311yescharacteristic
365#10587502C2311yescharacteristic
366#10587502C2311yescharacteristic
367#10587502C2311yescharacteristic
368#10587502C2311yescharacteristic
369#10587502C2311yescharacteristic
370#10587502C2311yescharacteristic
371#10587502C2311yescharacteristic
372#10587502C2311yescharacteristic
373#10587502C2311yescharacteristic
374#10587502C2311yescharacteristic
375C24×C17—22no—
376C24×C17—22no—
377C24×C17—22no—
378C24×C17—22no—
379C24×C17—22no—
380C24×C17—41no—
381C24×C17—41no—
382C24×C17C2411yescharacteristic
383C24×C17C2411yescharacteristic
384C24×C17C2411yescharacteristic
385C24×C17C2411yescharacteristic
386C24×C17C2411yescharacteristic
387C23×D17—22no—
388C23×D17—22no—
389C23×D17—22no—
390C23×D17—41no—
391C23×D17—41no—
392C23×D17—41no—
393C23×D17—41no—
394C23×D17—41no—
395C23×D17—41no—
396C23×D17—41no—
397C23×D17—41no—
398C23×D17—41no—
399C23×D17—41no—
400C23×D17#4114yes—
401C23×D17C2411yescharacteristic
402C23×D17C2411yescharacteristic
403C23×D17C2411yescharacteristic
404C2×D4×C17—22no—
405C2×D4×C17—22no—
406C2×D4×C17—22no—
407C2×D4×C17—22no—
408C2×D4×C17—22no—
409C2×D4×C17—22no—
410C2×D4×C17—22no—
411C2×D4×C17—22no—
412C2×D4×C17—22no—
413C2×D4×C17—22no—
414C2×D4×C17—22no—
415C2×D4×C17—41no—
416C2×D4×C17—41no—
417C2×D4×C17—41no—
418C2×D4×C17—41no—
419C2×D4×C17—41no—
420C2×D4×C17—41no—
421C2×D4×C17—41no—
422C2×D4×C17—41no—
423C2×D4×C17—41no—
424C2×D4×C17—41no—
425C22×C4×C17—22no—
426C22×C4×C17—22no—
427C22×C4×C17—22no—
428C22×C4×C17—22no—
429C22×C4×C17—22no—
430C22×C4×C17—22no—
431C22×C4×C17—22no—
432C22×C4×C17—41no—
433C22×C4×C17—41no—
434C22×C4×C17—41no—
435C22×C4×C17—41no—
436C22×C4×C17—41no—
437C22×C4×C17—41no—
438C22×C4×C17—41no—
439C22×C4×C17—41no—
440C22×C4×C17—41no—
441C22×C4×C17—41no—
442C22×C4×C17—41no—
443C22×C4×C17—416no—
444C22×C4×C17C2411yescharacteristic
445C22×C4×C17C2411yescharacteristic
446C22×C4×C17C2411yescharacteristic
447C22×C4×C17C2411yescharacteristic
448C22×C4×C17C2411yescharacteristic
449C22×C4×C17C2411yescharacteristic
450C22×C4×C17C2411yescharacteristic
451C22×C4×C17C2411yescharacteristic
452C22×C4×C17C2411yescharacteristic
453C22×C4×C17C2411yescharacteristic
454C2×C22⋊D17—22no—
455C2×C22⋊D17—22no—
456C2×C22⋊D17—22no—
457C2×C22⋊D17—22no—
458C2×C22⋊D17—22no—
459C2×C22⋊D17—22no—
460C2×C22⋊D17—22no—
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—41no—
471C2×C22⋊D17—41no—
472C2×C22⋊D17—41no—
473C2×C22⋊D17—41no—
474C2×C22⋊D17—41no—
475C2×C22⋊D17—41no—
476C2×C22⋊D17—41no—
477C2×C22⋊D17—41no—
478C2×C22⋊D17—41no—
479C2×C22⋊D17—41no—
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—416no—
488C22×Dic17—22no—
489C22×Dic17—22no—
490C22×Dic17—22no—
491C22×Dic17—41no—
492C22×Dic17—41no—
493C22×Dic17—41no—
494C22×Dic17—41no—
495C22×Dic17—41no—
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
512C22×Dic17C2411yescharacteristic
513D4×D17—416no—
514C2×D68—22no—
515C2×D68—41no—
516C2×D68—41no—
517C2×C4×D17—22no—
518C2×C4×D17—41no—
519C2×C4×D17—41no—
520C2×C4×D17—41no—
521C2×C4×D17—41no—
522C2×C4×D17—41no—
523C2×C4×D17—41no—
524C2×C4×D17—41no—
525C2×C4×D17—41no—
526C2×Dic34—41no—
527C2×Dic34—41no—
528C2×Dic34—41no—
529C4⋊C4×C17—22no—
530C4⋊C4×C17—41no—
531C4⋊C4×C17—41no—
532C22⋊C4×C17—22no—
533C22⋊C4×C17—22no—
534C22⋊C4×C17—41no—
535C22⋊C4×C17—41no—
536C22⋊C4×C17—41no—
537C22⋊C4×C17—41no—
538C22⋊C4×C17—41no—
539C22⋊C4×C17—41no—
540C22⋊C4×C17—41no—
541C22⋊C4×C17—41no—
542C22⋊C4×C17—41no—
543C22⋊C4×C17—41no—
544C22⋊Dic17—22no—
545C22⋊Dic17—22no—
546C22⋊Dic17—22no—
547C22⋊Dic17—22no—
548C22⋊Dic17—22no—
549C22⋊Dic17—22no—
550C22⋊Dic17—22no—
551C22⋊Dic17—41no—
552C22⋊Dic17—41no—
553C22⋊Dic17—41no—
554C22⋊Dic17—41no—
555C22⋊Dic17—41no—
556C22⋊Dic17—41no—
557C22⋊Dic17—41no—
558C22⋊Dic17—41no—
559C22⋊Dic17—41no—
560C22⋊Dic17—41no—
561C22⋊Dic17—41no—
562C22⋊Dic17—41no—
563C22⋊Dic17—41no—
564C22⋊Dic17—41no—
565C22⋊Dic17—41no—
566C22⋊Dic17—41no—
567#63227—22no—
568#63227—22no—
569#63227—22no—
570#63227—22no—
571#63227—22no—
572#63227—41no—
573#63227—41no—
574#63227—41no—
575#63227—41no—
576#63227—41no—
577#63227—41no—
578#63227—41no—
579#63227—41no—
580#63227—41no—
581#63227—41no—
582#63227—41no—
583#63227—41no—
584#63227—41no—
585#63227—41no—
586#63227—41no—
587#63227—41no—
588#63227—41no—
589#63227—41no—
590#63227—41no—
591#63227—41no—
592C4⋊Dic17—41no—
593C4⋊Dic17—41no—
594C4⋊Dic17—41no—
595C4⋊Dic17—41no—
596#63225—22no—
597#63225—41no—
598#63225—41no—
599#63225—41no—
600#63225—41no—
601#63225—41no—
602#63225—41no—
603#63225—41no—
604#63225—41no—
605C4×Dic17—41no—
606C4×Dic17—41no—
607C4×Dic17—41no—
608#36776—171nomaximal, Sylow
609C23×C17—21no—
610C23×C17—21no—
611C23×C17—21no—
612C23×C17—21no—
613C23×C17—28no—
614C23×C17—21no—
615C23×C17—21no—
616C23×C17—21no—
617C23×C17—21no—
618C23×C17—21no—
619C23×C17—21no—
620C23×C17—21no—
621C23×C17—21no—
622C23×C17—21no—
623C23×C17—21no—
624C23×C17—21no—
625C23×C17—21no—
626C23×C17—21no—
627C23×C17—21no—
628C23×C17—21no—
629C23×C17—21no—
630C23×C17—21no—
631C23×C17—21no—
632C23×C17—21no—
633C23×C17—21no—
634C23×C17—21no—
635C23×C17—21no—
636C23×C17—21no—
637C23×C17—21no—
638C23×C17—21no—
639C23×C17—21no—
640C23×C17—44no—
641C23×C17—44no—
642C23×C17—44no—
643C23×C17—44no—
644C23×C17—44no—
645C23×C17—44no—
646C23×C17C2×#4112yes—
647C23×C17H(5,𝔽2)12yes—
648C23×C17H(5,𝔽2)12yes—
649C23×C17H(5,𝔽2)12yes—
650C23×C17H(5,𝔽2)12yes—
651C23×C17C2511yescharacteristic
652C22×D17—21no—
653C22×D17—21no—
654C22×D17—21no—
655C22×D17—21no—
656C22×D17—21no—
657C22×D17—21no—
658C22×D17—21no—
659C22×D17—21no—
660C22×D17—21no—
661C22×D17—21no—
662C22×D17—21no—
663C22×D17—21no—
664C22×D17—28no—
665C22×D17—21no—
666C22×D17—21no—
667C22×D17—21no—
668C22×D17—21no—
669C22×D17—21no—
670C22×D17—21no—
671C22×D17—21no—
672C22×D17—44no—
673C22×D17—44no—
674C22×D17—44no—
675C22×D17—82no—
676C22×D17—82no—
677C22×D17—82no—
678C22×D17—82no—
679C22×D17—82no—
680C22×D17—82no—
681C22×D17—82no—
682C22×D17—82no—
683C22×D17—82no—
684C22×D17—82no—
685C22×D17C2×#4112yes—
686C22×D17C2×#4112yes—
687D4×C17—44no—
688D4×C17—44no—
689D4×C17—82no—
690D4×C17—82no—
691D4×C17—82no—
692D4×C17—82no—
693D4×C17—82no—
694C2×C4×C17—21no—
695C2×C4×C17—21no—
696C2×C4×C17—21no—
697C2×C4×C17—21no—
698C2×C4×C17—21no—
699C2×C4×C17—21no—
700C2×C4×C17—21no—
701C2×C4×C17—21no—
702C2×C4×C17—21no—
703C2×C4×C17—21no—
704C2×C4×C17—21no—
705C2×C4×C17—21no—
706C2×C4×C17—21no—
707C2×C4×C17—21no—
708C2×C4×C17—21no—
709C2×C4×C17—21no—
710C2×C4×C17—21no—
711C2×C4×C17—21no—
712C2×C4×C17—21no—
713C2×C4×C17—21no—
714C2×C4×C17—21no—
715C2×C4×C17—21no—
716C2×C4×C17—21no—
717C2×C4×C17—21no—
718C2×C4×C17—21no—
719C2×C4×C17—21no—
720C2×C4×C17—21no—
721C2×C4×C17—21no—
722C2×C4×C17—21no—
723C2×C4×C17—44no—
724C2×C4×C17—44no—
725C2×C4×C17—44no—
726C2×C4×C17—44no—
727C2×C4×C17—44no—
728C2×C4×C17—44no—
729C2×C4×C17H(5,𝔽2)12yes—
730C22⋊D17—44no—
731C22⋊D17—44no—
732C22⋊D17—44no—
733C22⋊D17—44no—
734C22⋊D17—44no—
735C22⋊D17—44no—
736C22⋊D17—82no—
737C22⋊D17—82no—
738C22⋊D17—82no—
739C22⋊D17—82no—
740C22⋊D17—82no—
741C2×Dic17—21no—
742C2×Dic17—21no—
743C2×Dic17—21no—
744C2×Dic17—21no—
745C2×Dic17—21no—
746C2×Dic17—21no—
747C2×Dic17—21no—
748C2×Dic17—21no—
749C2×Dic17—21no—
750C2×Dic17—21no—
751C2×Dic17—21no—
752C2×Dic17—21no—
753C2×Dic17—21no—
754C2×Dic17—21no—
755C2×Dic17—21no—
756C2×Dic17—21no—
757C2×Dic17—21no—
758C2×Dic17—21no—
759C2×Dic17—21no—
760C2×Dic17—21no—
761C2×Dic17—21no—
762C2×Dic17—21no—
763C2×Dic17—21no—
764C2×Dic17—21no—
765C2×Dic17—21no—
766C2×Dic17—21no—
767C2×Dic17—21no—
768C2×Dic17—21no—
769C2×Dic17—21no—
770C2×Dic17—21no—
771C2×Dic17—21no—
772C2×Dic17—21no—
773C2×Dic17—21no—
774C2×Dic17—21no—
775C2×Dic17—21no—
776C2×Dic17—21no—
777C2×Dic17—21no—
778C2×Dic17—21no—
779C2×Dic17—21no—
780C2×Dic17—44no—
781C2×Dic17—82no—
782C2×Dic17—82no—
783C2×Dic17—82no—
784D68—44no—
785C4×D17—44no—
786C4×D17—82no—
787C4×D17—82no—
788Dic34—82no—
789#2849—171no—
790#2847D1711yescharacteristic, complemented
791#2778—171no—
792#2778—171no—
793#2760—171no—
794#2750—171no—
795#2749—171no—
796#2749—171no—
797#2743—171no—
798#2703—171no—
799#2697—171no—
800#2696—171no—
801#2688—171no—
802#2688—171no—
803#2684—171no—
804#2678—171no—
805#2676—171no—
806#2668—171no—
807#2643—171no—
808#2639—171no—
809#2510—171no—
810#2472—171no—
811#2444—171no—
812#2437—171no—
813#2424—171no—
814#2410—171no—
815#2410—171no—
816#2403—171no—
817#2321—171no—
818#2308—171no—
819C2×#386—171no—
820C22×C17—22no—
821C22×C17—22no—
822C22×C17—22no—
823C22×C17—22no—
824C22×C17—22no—
825C22×C17—22no—
826C22×C17—22no—
827C22×C17—22no—
828C22×C17—22no—
829C22×C17—22no—
830C22×C17—22no—
831C22×C17—22no—
832C22×C17—416no—
833C22×C17—41no—
834C22×C17—41no—
835C22×C17—41no—
836C22×C17—41no—
837C22×C17—41no—
838C22×C17—41no—
839C22×C17—41no—
840C22×C17—41no—
841C22×C17—41no—
842C22×C17—41no—
843C22×C17—41no—
844C22×C17—41no—
845C22×C17—41no—
846C22×C17—41no—
847C22×C17—41no—
848C22×C17—41no—
849C22×C17—41no—
850C22×C17—41no—
851C22×C17—41no—
852C22×C17—41no—
853C22×C17—41no—
854C22×C17—41no—
855C22×C17#53814yes—
856C22×C17C22×#4111yescharacteristic
857C22×C17C2×H(5,𝔽2)11yescharacteristic
858C22×C17C2×H(5,𝔽2)11yescharacteristic
859C22×C17C2×H(5,𝔽2)11yescharacteristic
860C22×C17C2×H(5,𝔽2)11yescharacteristic
861C22×C17C2×H(5,𝔽2)11yescharacteristic
862C22×C17#58511yescharacteristic
863C2×D17—22no—
864C2×D17—22no—
865C2×D17—22no—
866C2×D17—22no—
867C2×D17—22no—
868C2×D17—22no—
869C2×D17—41no—
870C2×D17—41no—
871C2×D17—41no—
872C2×D17—41no—
873C2×D17—41no—
874C2×D17—41no—
875C2×D17—41no—
876C2×D17—41no—
877C2×D17—41no—
878C2×D17—41no—
879C2×D17—41no—
880C2×D17—41no—
881C2×D17—41no—
882C2×D17—41no—
883C2×D17—41no—
884C2×D17—88no—
885C2×D17—88no—
886C4×C17—22no—
887C4×C17—41no—
888C4×C17—41no—
889C4×C17—41no—
890C4×C17—41no—
891C4×C17—41no—
892C4×C17—41no—
893C4×C17—41no—
894C4×C17—41no—
895C4×C17—41no—
896Dic17—41no—
897Dic17—41no—
898Dic17—41no—
899Dic17—41no—
900Dic17—41no—
901Dic17—41no—
902Dic17—41no—
903Dic17—41no—
904Dic17—41no—
905Dic17—41no—
906Dic17—41no—
907Dic17—41no—
908Dic17—41no—
909C23×D4—171no—
910C23×D4—171no—
911C24×C4C2×D1711yescharacteristic, complemented
912C2×#124—171no—
913C2×#123—171no—
914C2×#123—171no—
915C2×C22⋊Q8—171no—
916C2×C22⋊Q8—171no—
917C2×#121—171no—
918C2×#121—171no—
919C2×#121—171no—
920C2×#121—171no—
921C2×#121C2×D1711yescharacteristic
922C2×#121C2×D1711yescharacteristic, complemented
923C2×#121C2×D1711yescharacteristic, complemented
924C2×#120—171no—
925C2×#120—171no—
926C2×#120—171no—
927C2×#120—171no—
928C2×#120—171no—
929C2×#120C2×D1711yescharacteristic
930C2×#120C2×D1711yescharacteristic, complemented
931C2×C4×D4—171no—
932C22×C22⋊C4—171no—
933C22×C22⋊C4—171no—
934C22×C22⋊C4—171no—
935C22×C22⋊C4—171no—
936#401—171no—
937#401—171no—
938#400—171no—
939#400—171no—
940#400—171no—
941#400—171no—
942#400—171no—
943#400—171no—
944#400—171no—
945#399—171no—
946#397—171no—
947#397—171no—
948#397—171no—
949#397—171no—
950#397—171no—
951#397—171no—
952#397—171no—
953#397—171no—
954#397—171no—
955#397—171no—
956#396—171no—
957#396—171no—
958#396—171no—
959#396—171no—
960#394—171no—
961#394—171no—
962#394—171no—
963#394—171no—
964#394—171no—
965#394—171no—
966#394—171no—
967#394—171no—
968#394—171no—
969#394—171no—
970#394—171no—
971#393—171no—
972#393—171no—
973#393—171no—
974#393—171no—
975#392—171no—
976#392—171no—
977#392—171no—
978#392—171no—
979#392—171no—
980#392—171no—
981#392—171no—
982#392—171no—
983#392—171no—
984#390—171no—
985#390—171no—
986#390—171no—
987#390—171no—
988#388—171no—
989#388—171no—
990#388—171no—
991#388—171no—
992#388—171no—
993#388—171no—
994#388—171no—
995#388—171no—
996#388—171no—
997#388—171no—
998#387—171no—
999#387—171no—
1000#386—171no—
1001#386—171no—
1002#386—171no—
1003#386—171no—
1004#386—171no—
1005#386—171no—
1006#386—171no—
1007#386—171no—
1008#386—171no—
1009#386—171no—
1010#386—171no—
1011#386—171no—
1012#386—171no—
1013#386—171no—
1014#386—171no—
1015#386—171no—
1016#386—171no—
1017#386—171no—
1018#386—171no—
1019#386—171no—
1020#386—171no—
1021#386—171no—
1022#386—171no—
1023#386—171no—
1024#386—171no—
1025#386—171no—
1026#386—171no—
1027#386—171no—
1028#386—171no—
1029#386—171no—
1030#386—171no—
1031#386C2×D1711yescharacteristic
1032#386C2×D1711yescharacteristic, complemented
1033#386C2×D1711yescharacteristic, complemented
1034#386C2×D1711yescharacteristic, complemented
1035#386C2×D1711yescharacteristic, complemented
1036#386C2×D1711yescharacteristic, complemented
1037#385—171no—
1038#385—171no—
1039#385—171no—
1040#385—171no—
1041#385—171no—
1042#385—171no—
1043#385—171no—
1044#385—171no—
1045#385—171no—
1046#383—171no—
1047#381—171no—
1048#381—171no—
1049#381—171no—
1050#381—171no—
1051#381—171no—
1052#380—171no—
1053#380C2×D1711yescharacteristic, complemented
1054#380C2×D1711yescharacteristic, complemented
1055#380C2×D1711yescharacteristic, complemented
1056#379—171no—
1057#379—171no—
1058#379—171no—
1059#379—171no—
1060#379—171no—
1061C4×C22⋊C4—171no—
1062C2×#95—171no—
1063C2×#95—171no—
1064C2×C17—24no—
1065C2×C17—42no—
1066C2×C17—42no—
1067C2×C17—81no—
1068C2×C17—81no—
1069C2×C17C2×#53811yescharacteristic
1070C2×C17#349011yescharacteristic
1071C2×C17#350511yescharacteristic
1072C2×C17#353211yescharacteristic
1073C2×C17#353411yescharacteristic
1074C2×C17#353411yescharacteristic
1075C2×C17#353711yescharacteristic
1076D17—42no—
1077D17—42no—
1078D17—81no—
1079C25—171no—
1080C25—171no—
1081C25C22×D1711yescharacteristic
1082C22×Q8—171no—
1083C22×D4—171no—
1084C22×D4—171no—
1085C22×D4—171no—
1086C22×D4—171no—
1087C22×D4—171no—
1088C22×D4—171no—
1089C22×D4—171no—
1090C22×D4—171no—
1091C22×D4—171no—
1092C22×D4—171no—
1093C22×D4—171no—
1094C22×D4—171no—
1095C22×D4—344no—
1096C22×D4—344no—
1097C22×D4—682no—
1098C22×D4—682no—
1099C22×D4—682no—
1100C22×D4—682no—
1101C22×D4C22×D1711yescharacteristic
1102C22×D4C22×D1711yescharacteristic
1103C22×D4C22×D1711yescharacteristic
1104C22×D4C22×D1711yescharacteristic
1105C22×D4C22×D1711yescharacteristic
1106C22×D4C22×D1711yescharacteristic
1107C22×D4C22×D1711yescharacteristic
1108C23×C4—42no—
1109C23×C4—42no—
1110C23×C4—42no—
1111C23×C4—171no—
1112C23×C4—171no—
1113C23×C4—171no—
1114C23×C4—171no—
1115C23×C4—171no—
1116C23×C4—171no—
1117C23×C4—171no—
1118C23×C4C22×D1711yescharacteristic
1119C23×C4C22×D1711yescharacteristic
1120C23×C4C22×D1711yescharacteristic
1121C23×C4C22×D1711yescharacteristic
1122C23×C4C22×D1711yescharacteristic
1123C23×C4C22×D1711yescharacteristic
1124#124—682no—
1125#123—682no—
1126#123—682no—
1127C22⋊Q8—682no—
1128C22⋊Q8—682no—
1129#121—42no—
1130#121—42no—
1131#121—42no—
1132#121—682no—
1133#121—682no—
1134#121—682no—
1135#121—682no—
1136#120—42no—
1137#120—42no—
1138#120—344no—
1139#120—682no—
1140#120—682no—
1141#120—682no—
1142#120—682no—
1143C4×D4—682no—
1144C2×C4⋊C4—171no—
1145C2×C4⋊C4—171no—
1146C2×C4⋊C4—171no—
1147C2×C4⋊C4—171no—
1148C2×C4⋊C4—171no—
1149C2×C4⋊C4—171no—
1150C2×C4⋊C4—171no—
1151C2×C4⋊C4—171no—
1152C2×C4⋊C4—171no—
1153C2×C4⋊C4—171no—
1154C2×C4⋊C4—171no—
1155C2×C4⋊C4—171no—
1156C2×C4⋊C4—171no—
1157C2×C4⋊C4C22×D1711yescharacteristic
1158C2×C4⋊C4C22×D1711yescharacteristic
1159C2×C4⋊C4C22×D1711yescharacteristic
1160C2×C22⋊C4—171no—
1161C2×C22⋊C4—171no—
1162C2×C22⋊C4—171no—
1163C2×C22⋊C4—171no—
1164C2×C22⋊C4—171no—
1165C2×C22⋊C4—171no—
1166C2×C22⋊C4—171no—
1167C2×C22⋊C4—171no—
1168C2×C22⋊C4—171no—
1169C2×C22⋊C4—171no—
1170C2×C22⋊C4—171no—
1171C2×C22⋊C4—171no—
1172C2×C22⋊C4—171no—
1173C2×C22⋊C4—171no—
1174C2×C22⋊C4—171no—
1175C2×C22⋊C4—171no—
1176C2×C22⋊C4—171no—
1177C2×C22⋊C4—171no—
1178C2×C22⋊C4—171no—
1179C2×C22⋊C4—171no—
1180C2×C22⋊C4—171no—
1181C2×C22⋊C4—171no—
1182C2×C22⋊C4—171no—
1183C2×C22⋊C4—171no—
1184C2×C22⋊C4—171no—
1185C2×C22⋊C4—171no—
1186C2×C22⋊C4—171no—
1187C2×C22⋊C4—171no—
1188C2×C22⋊C4—171no—
1189C2×C22⋊C4—171no—
1190C2×C22⋊C4—171no—
1191C2×C22⋊C4—171no—
1192C2×C22⋊C4—171no—
1193C2×C22⋊C4—171no—
1194C2×C22⋊C4—171no—
1195C2×C22⋊C4—171no—
1196C2×C22⋊C4—171no—
1197C2×C22⋊C4—171no—
1198C2×C22⋊C4—171no—
1199C2×C22⋊C4—171no—
1200C2×C22⋊C4—171no—
1201C2×C22⋊C4—171no—
1202C2×C22⋊C4—171no—
1203C2×C22⋊C4—171no—
1204C2×C22⋊C4—171no—
1205C2×C22⋊C4—171no—
1206C2×C22⋊C4—171no—
1207C2×C22⋊C4—171no—
1208C2×C22⋊C4—682no—
1209C2×C22⋊C4—682no—
1210C2×C22⋊C4—682no—
1211C2×C22⋊C4—682no—
1212C2×C22⋊C4C22×D1711yescharacteristic
1213C2×C22⋊C4C22×D1711yescharacteristic
1214C2×C22⋊C4C22×D1711yescharacteristic
1215C2×C22⋊C4C22×D1711yescharacteristic
1216C2×C22⋊C4C22×D1711yescharacteristic
1217C2×C22⋊C4C22×D1711yescharacteristic
1218C2×C22⋊C4C22×D1711yescharacteristic
1219C2×C22⋊C4C22×D1711yescharacteristic
1220C2×C22⋊C4C22×D1711yescharacteristic
1221C2×C22⋊C4C22×D1711yescharacteristic
1222C2×C22⋊C4C22×D1711yescharacteristic
1223C2×C22⋊C4C22×D1711yescharacteristic
1224C2×C42—171no—
1225C2×C42—171no—
1226C2×C42—171no—
1227#95—171no—
1228#95—171no—
1229#95—171no—
1230#95—171no—
1231#95—171no—
1232#95—171no—
1233#95—171no—
1234#95—171no—
1235#95—171no—
1236#95—171no—
1237#95—171no—
1238#95—171no—
1239#95—171no—
1240#95—171no—
1241#95—171no—
1242#95—171no—
1243#95—171no—
1244#95—171no—
1245#95—171no—
1246#95—171no—
1247#95—171no—
1248#95—171no—
1249#95—171no—
1250#95—171no—
1251#95—171no—
1252#95—171no—
1253#95—171no—
1254#95—171no—
1255#95—171no—
1256#95—171no—
1257#95—171no—
1258#95—171no—
1259#95—171no—
1260#95—171no—
1261#95C22×D1711yescharacteristic
1262#95C22×D1711yescharacteristic
1263#95C22×D1711yescharacteristic
1264#95C22×D1711yescharacteristic
1265#95C22×D1711yescharacteristic
1266#95C22×D1711yescharacteristic
1267C17#3677611yescharacteristic, complemented, Sylow
1268C24—22no—
1269C24—22no—
1270C24—22no—
1271C24—22no—
1272C24—22no—
1273C24—41no—
1274C24—41no—
1275C24—171no—
1276C24—171no—
1277C24—174no—
1278C24—171no—
1279C24—342no—
1280C24—342no—
1281C24—342no—
1282C24—681no—
1283C24—681no—
1284C24—681no—
1285C24—681no—
1286C24—681no—
1287C24—681no—
1288C24—681no—
1289C24—681no—
1290C24—681no—
1291C24—681no—
1292C24C23×D1711yescharacteristic
1293C24C23×D1711yescharacteristic
1294C24C23×D1711yescharacteristic
1295C24C23×D1711yescharacteristic
1296C24C23×D1711yescharacteristic
1297C2×Q8—681no—
1298C2×Q8—681no—
1299C2×Q8—681no—
1300C2×D4—22no—
1301C2×D4—22no—
1302C2×D4—22no—
1303C2×D4—22no—
1304C2×D4—22no—
1305C2×D4—22no—
1306C2×D4—22no—
1307C2×D4—22no—
1308C2×D4—22no—
1309C2×D4—22no—
1310C2×D4—22no—
1311C2×D4—41no—
1312C2×D4—41no—
1313C2×D4—41no—
1314C2×D4—41no—
1315C2×D4—41no—
1316C2×D4—41no—
1317C2×D4—41no—
1318C2×D4—41no—
1319C2×D4—41no—
1320C2×D4—41no—
1321C2×D4—342no—
1322C2×D4—342no—
1323C2×D4—342no—
1324C2×D4—342no—
1325C2×D4—342no—
1326C2×D4—342no—
1327C2×D4—342no—
1328C2×D4—342no—
1329C2×D4—342no—
1330C2×D4—342no—
1331C2×D4—342no—
1332C2×D4—342no—
1333C2×D4—342no—
1334C2×D4—342no—
1335C2×D4—342no—
1336C2×D4—342no—
1337C2×D4—342no—
1338C2×D4—681no—
1339C2×D4—681no—
1340C2×D4—681no—
1341C2×D4—681no—
1342C2×D4—681no—
1343C2×D4—681no—
1344C2×D4—681no—
1345C2×D4—681no—
1346C2×D4—681no—
1347C2×D4—681no—
1348C2×D4—681no—
1349C2×D4—681no—
1350C2×D4—681no—
1351C2×D4—681no—
1352C2×D4—681no—
1353C2×D4—681no—
1354C2×D4—681no—
1355C2×D4—681no—
1356C2×D4—681no—
1357C2×D4—6816no—
1358C2×D4—6816no—
1359C22×C4—22no—
1360C22×C4—22no—
1361C22×C4—22no—
1362C22×C4—22no—
1363C22×C4—22no—
1364C22×C4—22no—
1365C22×C4—22no—
1366C22×C4—41no—
1367C22×C4—41no—
1368C22×C4—41no—
1369C22×C4—41no—
1370C22×C4—41no—
1371C22×C4—41no—
1372C22×C4—41no—
1373C22×C4—41no—
1374C22×C4—41no—
1375C22×C4—41no—
1376C22×C4—41no—
1377C22×C4—416no—
1378C22×C4—171no—
1379C22×C4—171no—
1380C22×C4—171no—
1381C22×C4—171no—
1382C22×C4—171no—
1383C22×C4—171no—
1384C22×C4—171no—
1385C22×C4—171no—
1386C22×C4—171no—
1387C22×C4—171no—
1388C22×C4—171no—
1389C22×C4—171no—
1390C22×C4—171no—
1391C22×C4—342no—
1392C22×C4—342no—
1393C22×C4—342no—
1394C22×C4—342no—
1395C22×C4—681no—
1396C22×C4—681no—
1397C22×C4—681no—
1398C22×C4—681no—
1399C22×C4—681no—
1400C22×C4—681no—
1401C22×C4—681no—
1402C22×C4—681no—
1403C22×C4—681no—
1404C22×C4—681no—
1405C22×C4—681no—
1406C22×C4—681no—
1407C22×C4—681no—
1408C22×C4—681no—
1409C22×C4—681no—
1410C22×C4—681no—
1411C22×C4—681no—
1412C22×C4C23×D1711yescharacteristic
1413C22×C4C23×D1711yescharacteristic
1414C22×C4C23×D1711yescharacteristic
1415C22×C4C23×D1711yescharacteristic
1416C22×C4C23×D1711yescharacteristic
1417C22×C4C23×D1711yescharacteristic
1418C22×C4C23×D1711yescharacteristic
1419C22×C4C23×D1711yescharacteristic
1420C22×C4C23×D1711yescharacteristic
1421C22×C4C23×D1711yescharacteristic
1422C4⋊C4—22no—
1423C4⋊C4—41no—
1424C4⋊C4—41no—
1425C4⋊C4—342no—
1426C4⋊C4—681no—
1427C4⋊C4—681no—
1428C4⋊C4—681no—
1429C4⋊C4—681no—
1430C4⋊C4—681no—
1431C4⋊C4—681no—
1432C4⋊C4—681no—
1433C4⋊C4—681no—
1434C4⋊C4—681no—
1435C4⋊C4—681no—
1436C4⋊C4—681no—
1437C4⋊C4—681no—
1438C22⋊C4—22no—
1439C22⋊C4—22no—
1440C22⋊C4—41no—
1441C22⋊C4—41no—
1442C22⋊C4—41no—
1443C22⋊C4—41no—
1444C22⋊C4—41no—
1445C22⋊C4—41no—
1446C22⋊C4—41no—
1447C22⋊C4—41no—
1448C22⋊C4—41no—
1449C22⋊C4—41no—
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—681no—
1463C22⋊C4—681no—
1464C22⋊C4—681no—
1465C22⋊C4—681no—
1466C22⋊C4—681no—
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—681no—
1483C22⋊C4—681no—
1484C22⋊C4—681no—
1485C22⋊C4—681no—
1486C22⋊C4—681no—
1487C22⋊C4—681no—
1488C22⋊C4—681no—
1489C22⋊C4—681no—
1490C22⋊C4—681no—
1491C22⋊C4—681no—
1492C22⋊C4—681no—
1493C22⋊C4—681no—
1494C22⋊C4—681no—
1495C22⋊C4—681no—
1496C22⋊C4—681no—
1497C22⋊C4—681no—
1498C42—681no—
1499C42—681no—
1500C42—681no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—28no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—21no—
1529C23—21no—
1530C23—21no—
1531C23—21no—
1532C23—44no—
1533C23—44no—
1534C23—44no—
1535C23—44no—
1536C23—44no—
1537C23—44no—
1538C23—172no—
1539C23—172no—
1540C23—341no—
1541C23—341no—
1542C23—341no—
1543C23—341no—
1544C23—341no—
1545C23—341no—
1546C23—341no—
1547C23—341no—
1548C23—341no—
1549C23—341no—
1550C23—341no—
1551C23—341no—
1552C23—348no—
1553C23—341no—
1554C23—341no—
1555C23—341no—
1556C23—341no—
1557C23—341no—
1558C23—341no—
1559C23—341no—
1560C23—684no—
1561C23—684no—
1562C23—684no—
1563C23—1362no—
1564C23—1362no—
1565C23—1362no—
1566C23—1362no—
1567C23—1362no—
1568C23—1362no—
1569C23—1362no—
1570C23—1362no—
1571C23—1362no—
1572C23—1362no—
1573C23#1058769112yes—
1574C23#1058769112yes—
1575C23#1058769112yes—
1576C23#41×D1712yes—
1577C23#1058769612yes—
1578C23C24×D1711yescharacteristic
1579Q8—1362no—
1580D4—44no—
1581D4—44no—
1582D4—82no—
1583D4—82no—
1584D4—82no—
1585D4—82no—
1586D4—82no—
1587D4—684no—
1588D4—684no—
1589D4—684no—
1590D4—684no—
1591D4—684no—
1592D4—684no—
1593D4—684no—
1594D4—1362no—
1595D4—1362no—
1596D4—1362no—
1597D4—1362no—
1598D4—1362no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—44no—
1629C2×C4—44no—
1630C2×C4—44no—
1631C2×C4—44no—
1632C2×C4—44no—
1633C2×C4—44no—
1634C2×C4—341no—
1635C2×C4—341no—
1636C2×C4—341no—
1637C2×C4—341no—
1638C2×C4—341no—
1639C2×C4—341no—
1640C2×C4—341no—
1641C2×C4—341no—
1642C2×C4—341no—
1643C2×C4—341no—
1644C2×C4—341no—
1645C2×C4—341no—
1646C2×C4—341no—
1647C2×C4—341no—
1648C2×C4—341no—
1649C2×C4—341no—
1650C2×C4—341no—
1651C2×C4—341no—
1652C2×C4—341no—
1653C2×C4—341no—
1654C2×C4—341no—
1655C2×C4—341no—
1656C2×C4—341no—
1657C2×C4—341no—
1658C2×C4—341no—
1659C2×C4—341no—
1660C2×C4—341no—
1661C2×C4—341no—
1662C2×C4—341no—
1663C2×C4—341no—
1664C2×C4—341no—
1665C2×C4—341no—
1666C2×C4—341no—
1667C2×C4—341no—
1668C2×C4—341no—
1669C2×C4—341no—
1670C2×C4—341no—
1671C2×C4—341no—
1672C2×C4—341no—
1673C2×C4—684no—
1674C2×C4—684no—
1675C2×C4—1362no—
1676C2×C4—1362no—
1677C2×C4—1362no—
1678C2×C4—1362no—
1679C2×C4—1362no—
1680C2×C4#1058769112yes—
1681C22—22no—
1682C22—22no—
1683C22—22no—
1684C22—22no—
1685C22—22no—
1686C22—22no—
1687C22—22no—
1688C22—22no—
1689C22—22no—
1690C22—22no—
1691C22—22no—
1692C22—22no—
1693C22—416no—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—342no—
1717C22—342no—
1718C22—342no—
1719C22—342no—
1720C22—342no—
1721C22—342no—
1722C22—681no—
1723C22—681no—
1724C22—681no—
1725C22—681no—
1726C22—681no—
1727C22—681no—
1728C22—681no—
1729C22—681no—
1730C22—681no—
1731C22—681no—
1732C22—681no—
1733C22—681no—
1734C22—681no—
1735C22—681no—
1736C22—681no—
1737C22—1368no—
1738C22—1368no—
1739C22#1176339114yes—
1740C22C2×#41×D1711yescharacteristic
1741C22C2×#1058769111yescharacteristic
1742C22C2×#1058769111yescharacteristic
1743C22C2×#1058769111yescharacteristic
1744C22C2×#1058769111yescharacteristic
1745C22C2×#1058769611yescharacteristic
1746C22#1176364511yescharacteristic
1747C4—22no—
1748C4—41no—
1749C4—41no—
1750C4—41no—
1751C4—41no—
1752C4—41no—
1753C4—41no—
1754C4—41no—
1755C4—41no—
1756C4—41no—
1757C4—681no—
1758C4—681no—
1759C4—681no—
1760C4—681no—
1761C4—681no—
1762C4—681no—
1763C4—681no—
1764C4—681no—
1765C4—681no—
1766C4—681no—
1767C4—681no—
1768C4—681no—
1769C4—681no—
1770C2—24no—
1771C2—42no—
1772C2—42no—
1773C2—81no—
1774C2—81no—
1775C2—682no—
1776C2—682no—
1777C2—1361no—
1778C2C2×#1176339111yescharacteristic
1779C2#1454246711yescharacteristic
1780C2#1454261211yescharacteristic
1781C2#1454293911yescharacteristic
1782C2#1454296811yescharacteristic
1783C2#1454297411yescharacteristic
1784C2#1454301911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D17
commutator, socle, cosocleC23×C17C25
FittingC17×#2847C2
hypercenter#2847D17
hypocenterC17#36776
LCSG ▷ C23×C17 ▷ C17
UCSC1 ◁ C23 ◁ #2847

Complements

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

NH ≅ G/Ntype
1. #14537076C2semidirect
2. #14536405C2semidirect
3. #14536398C2semidirect
4. #14536160C2semidirect
5. #14536023C2semidirect
6. #14536011C2semidirect
7. #14536010C2semidirect
8. #14535919C2semidirect
9. #14535430C2semidirect
10. #14535348C2semidirect
11. #14535334C2semidirect
12. #14535218C2semidirect
13. #14535216C2semidirect
14. #14535163C2semidirect
15. #14535112C2semidirect
16. #14535079C2semidirect
17. #14534987C2semidirect
18. #14534739C2semidirect
19. #14534714C2semidirect
20. #14533340C2semidirect
21. #14532909C2semidirect
22. #14532530C2semidirect
23. #14532452C2semidirect
24. #14532324C2semidirect
25. #14532155C2semidirect
26. #14532154C2semidirect
27. #14532095C2semidirect
28. #14531447C2semidirect
29. #14531358C2semidirect
30. C2×#11762688C2semidirect
31. C17×#2847C2semidirect
34. C2×#10587622C22semidirect
35. C2×#10587615C22semidirect
36. C2×#10587615C22semidirect
37. C2×#10587582C22semidirect
38. C2×#10587564C22semidirect
40. C2×#10587625C22semidirect
41. C2×#10587624C22semidirect
42. C2×#10587624C22semidirect
47. C2×#10587623C22semidirect
48. C2×D4×Dic17C22semidirect
49. C22×C22⋊Dic17C22semidirect
53. C17⋊#401C22semidirect
54. C17⋊#401C22semidirect
55. #11762751C22semidirect
56. #11762751C22semidirect
57. #11762750C22semidirect
58. #11762750C22semidirect
59. #11762749C22semidirect
60. #11762748C22semidirect
61. #11762748C22semidirect
62. #11762744C22semidirect
63. #11762738C22semidirect
64. #11762737C22semidirect
65. #11762737C22semidirect
66. #11762737C22semidirect
67. #11762737C22semidirect
68. #11762736C22semidirect
69. #11762735C22semidirect
70. #11762734C22semidirect
71. #11762734C22semidirect
72. #11762734C22semidirect
73. #11762733C22semidirect
74. #11762732C22semidirect
75. #11762732C22semidirect
76. #11762731C22semidirect
77. #11762726C22semidirect
80. #11762725C22semidirect
81. #11762725C22semidirect
82. #11762724C22semidirect
83. #11762724C22semidirect
84. #11762723C22semidirect
85. #11762723C22semidirect
86. #11762723C22semidirect
87. #11762723C22semidirect
88. #11762722C22semidirect
89. #11762722C22semidirect
90. #11762721C22semidirect
91. #11762721C22semidirect
94. #11762718C22semidirect
99. #11762717C22semidirect
100. #11762717C22semidirect
101. #11762712C22semidirect
102. #11762709C22semidirect
103. #11762709C22semidirect
104. #11762709C22semidirect
105. #11762703C22semidirect
106. #11762703C22semidirect
107. #11762703C22semidirect
108. #11762701C22semidirect
109. #11762701C22semidirect
110. #11762701C22semidirect
111. #11762699C22semidirect
112. #11762698C22semidirect
113. #11762698C22semidirect
114. #11762697C22semidirect
115. #11762695C22semidirect
116. #11762690C22semidirect
120. #11762689C22semidirect
121. #11762689C22semidirect
122. #11762689C22semidirect
129. #11762688C22semidirect
130. #11762688C22semidirect
131. #11762688C22semidirect
132. #11762688C22semidirect
133. #11762688C22semidirect
134. #11762688C22semidirect
135. #11762687C22semidirect
136. #11762687C22semidirect
139. #11762686C22semidirect
140. #11762686C22semidirect
143. #11762685C22semidirect
144. #11762685C22semidirect
145. #11762685C22semidirect
146. #11762685C22semidirect
147. #11762685C22semidirect
148. #11762684C22semidirect
149. #11762683C22semidirect
150. #11762682C22semidirect
151. #11762682C22semidirect
152. #11762682C22semidirect
153. #11762682C22semidirect
154. #11762681C22semidirect
155. #11762680C22semidirect
156. #11762680C22semidirect
157. #11762676C22semidirect
158. #11762672C22semidirect
159. #11762672C22semidirect
160. #11762671C22semidirect
161. #11762671C22semidirect
162. #11762670C22semidirect
163. #11762668C22semidirect
164. #11762665C22semidirect
166. #11762664C22semidirect
167. #11762664C22semidirect
168. #11762664C22semidirect
169. C22⋊C4×Dic17C22semidirect
170. C2×#10587502C22semidirect
171. C2×#10587502C22semidirect
172. C24×C4×C17C22semidirect
174. C2×C17×#121C22semidirect
175. C2×C17×#121C22semidirect
177. C2×C17×#120C22semidirect
179. C17×#386C22semidirect
180. C17×#386C22semidirect
181. C17×#386C22semidirect
182. C17×#386C22semidirect
183. C17×#386C22semidirect
184. C17×#380C22semidirect
185. C17×#380C22semidirect
186. C17×#380C22semidirect
790. #2847D17semidirect
911. C24×C4C2×D17semidirect
922. C2×#121C2×D17semidirect
923. C2×#121C2×D17semidirect
930. C2×#120C2×D17semidirect
1032. #386C2×D17semidirect
1033. #386C2×D17semidirect
1034. #386C2×D17semidirect
1035. #386C2×D17semidirect
1036. #386C2×D17semidirect
1053. #380C2×D17semidirect
1054. #380C2×D17semidirect
1055. #380C2×D17semidirect
1267. C17#36776semidirect

Maximal subgroups

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

subgroupindex
#145370762
#145364052
#145363982
#145361602
#145360232
#145360112
#145360102
#145359192
#145354302
#145353482
#145353342
#145352182
#145352162
#145351632
#145351122
#145350792
#145349872
#145347392
#145347142
#145333402
#145329092
#145325302
#145324522
#145323242
#145321552
#145321542
#145320952
#145314472
#145313582
C2×#117626882
C17×#28472
#3677617