Finite Group Databasebeta

← #17241718

Subgroups — #17241718

Order 4352.

2782 conjugacy classes of subgroups.

The subgroup lattice has 1912 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11763394C211yesmaximal, characteristic, complemented
2C2×#11763368C211yesmaximal, characteristic, complemented
3#14537127C211yesmaximal, characteristic, complemented
4#14537081C211yesmaximal, characteristic, complemented
5#14535640C211yesmaximal, characteristic, complemented
6#14535634C211yesmaximal, characteristic, complemented
7#14535532C211yesmaximal, characteristic, complemented
8#14535526C211yesmaximal, characteristic, complemented
9#14535479C211yesmaximal, characteristic, complemented
10#14535473C211yesmaximal, characteristic, complemented
11#14535434C211yesmaximal, characteristic, complemented
12#14535428C211yesmaximal, characteristic, complemented
13#14535181C211yesmaximal, characteristic, complemented
14#14535175C211yesmaximal, characteristic, complemented
15#14535113C211yesmaximal, characteristic, complemented
16#14535111C211yesmaximal, characteristic, complemented
17#14535012C211yesmaximal, characteristic, complemented
18#14535006C211yesmaximal, characteristic, complemented
19#14535003C211yesmaximal, characteristic, complemented
20#14535001C211yesmaximal, characteristic, complemented
21#14534888C211yesmaximal, characteristic, complemented
22#14534714C211yesmaximal, characteristic, complemented
23#14533748C211yesmaximal, characteristic, complemented
24#14533742C211yesmaximal, characteristic, complemented
25#14532223C211yesmaximal, characteristic, complemented
26#14532221C211yesmaximal, characteristic, complemented
27#14532159C211yesmaximal, characteristic, complemented
28#14532158C211yesmaximal, characteristic, complemented
29#14532152C211yesmaximal, characteristic, complemented
30C2×#11762697C211yesmaximal, characteristic, complemented
31C17×#2410C211yesmaximal, characteristic, complemented
32C23×C22⋊D17C2211yescharacteristic
33#11763394—28no—
34#11763368—28no—
35C2×#10587626C2211yescharacteristic, complemented
36C2×#10587565C2211yescharacteristic, complemented
37C2×#10587565C2211yescharacteristic, complemented
38C2×#10587622C2211yescharacteristic, complemented
39C2×#10587571C2211yescharacteristic, complemented
40C2×#10587571C2211yescharacteristic, complemented
41C2×#10587615C2211yescharacteristic
42C2×#10587615C2211yescharacteristic
43C2×#10587569C2211yescharacteristic, complemented
44C2×#10587621C2211yescharacteristic
45C2×#10587621C2211yescharacteristic
46C2×#10587621C2211yescharacteristic, complemented
47C2×#10587564C2211yescharacteristic, complemented
48C2×#10587616C2211yescharacteristic, complemented
49C2×#10587616C2211yescharacteristic, complemented
50C2×#10587570C2211yescharacteristic, complemented
51C2×#10587625C2211yescharacteristic
52C2×#10587625C2211yescharacteristic
53C2×#10587625C2211yescharacteristic
54C2×#10587625C2211yescharacteristic
55C2×#10587625C2211yescharacteristic, complemented
56C2×#10587625C2211yescharacteristic, complemented
57C2×#10587625C2211yescharacteristic, complemented
58C2×#10587625C2211yescharacteristic, complemented
59C2×#10587625C2211yescharacteristic, complemented
60C2×#10587625C2211yescharacteristic, complemented
61C2×#10587625C2211yescharacteristic, complemented
62C2×#10587624C2211yescharacteristic, complemented
63C2×#10587568C2211yescharacteristic, complemented
64C2×#10587639C2211yescharacteristic
65C2×#10587639C2211yescharacteristic
66C2×#10587639C2211yescharacteristic
67C2×#10587639C2211yescharacteristic, complemented
68C2×#10587623C2211yescharacteristic
69C2×#10587623C2211yescharacteristic
70C2×#10587623C2211yescharacteristic, complemented
71C2×D4×Dic17C2211yescharacteristic, complemented
72C2×#10587567C2211yescharacteristic, complemented
73C22×#63225C2211yescharacteristic, complemented
74C22×C22⋊Dic17C2211yescharacteristic
75C22×C22⋊Dic17C2211yescharacteristic
76C22×C4×Dic17C2211yescharacteristic, complemented
77#11762751C2211yescharacteristic, complemented
78#11762750C2211yescharacteristic, complemented
79#11762745C2211yescharacteristic, complemented
80#11762745C2211yescharacteristic, complemented
81#11762744C2211yescharacteristic, complemented
82#11762744C2211yescharacteristic, complemented
83#11762743C2211yescharacteristic, complemented
84#11762742C2211yescharacteristic, complemented
85#11762738C2211yescharacteristic, complemented
86#11762738C2211yescharacteristic, complemented
87#11762737C2211yescharacteristic, complemented
88#11762737C2211yescharacteristic, complemented
89#11762733C2211yescharacteristic, complemented
90#11762732C2211yescharacteristic, complemented
91#11762732C2211yescharacteristic, complemented
92#11762731C2211yescharacteristic, complemented
93#11762727C2211yescharacteristic, complemented
94#11762725C2211yescharacteristic
95#11762725C2211yescharacteristic
96#11762725C2211yescharacteristic, complemented
97#11762725C2211yescharacteristic, complemented
98#11762724C2211yescharacteristic
99#11762724C2211yescharacteristic
100#11762724C2211yescharacteristic, complemented
101#11762724C2211yescharacteristic, complemented
102#11762724C2211yescharacteristic, complemented
103#11762724C2211yescharacteristic, complemented
104#11762723C2211yescharacteristic
105#11762723C2211yescharacteristic
106#11762723C2211yescharacteristic, complemented
107#11762722C2211yescharacteristic, complemented
108#11762721C2211yescharacteristic, complemented
109#11762718C2211yescharacteristic
110#11762718C2211yescharacteristic
111#11762718C2211yescharacteristic, complemented
112#11762718C2211yescharacteristic, complemented
113#11762718C2211yescharacteristic, complemented
114#11762717C2211yescharacteristic
115#11762717C2211yescharacteristic
116#11762717C2211yescharacteristic
117#11762717C2211yescharacteristic
118#11762717C2211yescharacteristic, complemented
119#11762717C2211yescharacteristic, complemented
120#11762717C2211yescharacteristic, complemented
121#11762713C2211yescharacteristic, complemented
122#11762712C2211yescharacteristic, complemented
123#11762710C2211yescharacteristic, complemented
124#11762709C2211yescharacteristic, complemented
125#11762709C2211yescharacteristic, complemented
126#11762709C2211yescharacteristic, complemented
127#11762709C2211yescharacteristic, complemented
128#11762709C2211yescharacteristic, complemented
129#11762709C2211yescharacteristic, complemented
130#11762709C2211yescharacteristic, complemented
131#11762706C2211yescharacteristic, complemented
132#11762704C2211yescharacteristic, complemented
133#11762703C2211yescharacteristic, complemented
134#11762702C2211yescharacteristic, complemented
135#11762702C2211yescharacteristic, complemented
136#11762701C2211yescharacteristic, complemented
137#11762699C2211yescharacteristic, complemented
138#11762698C2211yescharacteristic, complemented
139#11762698C2211yescharacteristic, complemented
140#11762697C2211yescharacteristic, complemented
141#11762697C2211yescharacteristic, complemented
142#11762697C2211yescharacteristic, complemented
143#11762697C2211yescharacteristic, complemented
144#11762697C2211yescharacteristic, complemented
145#11762697C2211yescharacteristic, complemented
146#11762697C2211yescharacteristic, complemented
147#11762697C2211yescharacteristic, complemented
148#11762697C2211yescharacteristic, complemented
149#11762689C2211yescharacteristic, complemented
150#11762689C2211yescharacteristic, complemented
151#11762689C2211yescharacteristic, complemented
152#11762689C2211yescharacteristic, complemented
153#11762688C2211yescharacteristic, complemented
154#11762688C2211yescharacteristic, complemented
155#11762688C2211yescharacteristic, complemented
156#11762687C2211yescharacteristic, complemented
157#11762686C2211yescharacteristic, complemented
158#11762686C2211yescharacteristic, complemented
159#11762686C2211yescharacteristic, complemented
160#11762686C2211yescharacteristic, complemented
161#11762685C2211yescharacteristic, complemented
162#11762684C2211yescharacteristic, complemented
163#11762682C2211yescharacteristic, complemented
164#11762681C2211yescharacteristic, complemented
165#11762678C2211yescharacteristic, complemented
166#11762673C2211yescharacteristic, complemented
167#11762668C2211yescharacteristic, complemented
168#11762667C2211yescharacteristic, complemented
169#11762665C2211yescharacteristic, complemented
170#11762664C2211yescharacteristic, complemented
171#11762664C2211yescharacteristic, complemented
172C2×#10587502C2211yescharacteristic, complemented
173C2×#10587502C2211yescharacteristic, complemented
174C23×D4×C17C2211yescharacteristic
175C2×C17×#121C2211yescharacteristic, complemented
176C2×C17×#121C2211yescharacteristic, complemented
177C2×C17×#120C2211yescharacteristic
178C2×C17×#120C2211yescharacteristic, complemented
179C22×C22⋊C4×C17C2211yescharacteristic
180C17×#394C2211yescharacteristic
181C17×#394C2211yescharacteristic
182C17×#392C2211yescharacteristic
183C17×#392C2211yescharacteristic
184C17×#386C2211yescharacteristic, complemented
185C17×#386C2211yescharacteristic, complemented
186C17×#386C2211yescharacteristic, complemented
187C17×#385C2211yescharacteristic, complemented
188C17×#379C2211yescharacteristic, complemented
189C25×C17C2311yescharacteristic
190C25×C17C2311yescharacteristic
191C24×D17C2311yescharacteristic
192C22×D4×C17—24no—
193C22×D4×C17—42no—
194C22×D4×C17—42no—
195C22×D4×C17C2311yescharacteristic
196C22×D4×C17C2311yescharacteristic
197C22×D4×C17C2311yescharacteristic
198C22×D4×C17C2311yescharacteristic
199C22×D4×C17C2311yescharacteristic
200C22×D4×C17C2311yescharacteristic
201C22×D4×C17C2311yescharacteristic
202C22×D4×C17C2311yescharacteristic
203C22×D4×C17C2311yescharacteristic
204C23×C4×C17C2311yescharacteristic
205C23×C4×C17C2311yescharacteristic
206C23×C4×C17C2311yescharacteristic
207C22×C22⋊D17—24no—
208C22×C22⋊D17—42no—
209C22×C22⋊D17—42no—
210C22×C22⋊D17C2311yescharacteristic
211C22×C22⋊D17C2311yescharacteristic
212C22×C22⋊D17C2311yescharacteristic
213C22×C22⋊D17C2311yescharacteristic
214C22×C22⋊D17C2311yescharacteristic
215C22×C22⋊D17C2311yescharacteristic
216C22×C22⋊D17C2311yescharacteristic
217C22×C22⋊D17C2311yescharacteristic
218C22×C22⋊D17C2311yescharacteristic
219C22×C22⋊D17C2311yescharacteristic
220C22×C22⋊D17C2311yescharacteristic
221C22×C22⋊D17C2311yescharacteristic
222C22×C22⋊D17C2311yescharacteristic
223C22×C22⋊D17C2311yescharacteristic
224C22×C22⋊D17C2311yescharacteristic
225C22×C22⋊D17C2311yescharacteristic
226C23×Dic17C2311yescharacteristic
227C23×Dic17C2311yescharacteristic
228C23×Dic17C2311yescharacteristic
229C23×Dic17C2311yescharacteristic
230C23×Dic17C2311yescharacteristic
231C23×Dic17C2311yescharacteristic
232C22×D68C2311yescharacteristic
233C22×D68C2311yescharacteristic
234C22×C4×D17C2311yescharacteristic
235C22×Dic34C2311yescharacteristic
236C17×#121—42no—
237C17×#121—42no—
238C17×#120—24no—
239C17×#120—42no—
240C2×C4⋊C4×C17C2311yescharacteristic
241C2×C4⋊C4×C17C2311yescharacteristic
242C2×C22⋊C4×C17—42no—
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
252C2×C22⋊C4×C17C2311yescharacteristic
253C2×C22⋊C4×C17C2311yescharacteristic
254C2×C22⋊C4×C17C2311yescharacteristic
255C2×C22⋊C4×C17C2311yescharacteristic
256C2×C22⋊C4×C17C2311yescharacteristic
257C2×C22⋊C4×C17C2311yescharacteristic
258#10587639—24no—
259#10587639—24no—
260#10587639—24no—
261#10587639—42no—
262C2×C22⋊Dic17—42no—
263C2×C22⋊Dic17D418yescomplemented
264C2×C22⋊Dic17C2311yescharacteristic
265C2×C22⋊Dic17C2311yescharacteristic
266C2×C22⋊Dic17C2311yescharacteristic
267C2×C22⋊Dic17C2311yescharacteristic
268C2×C22⋊Dic17C2311yescharacteristic
269C2×C22⋊Dic17C2311yescharacteristic
270C2×C22⋊Dic17C2311yescharacteristic
271C2×C22⋊Dic17C2311yescharacteristic
272C2×C22⋊Dic17C2311yescharacteristic
273C2×C22⋊Dic17C2311yescharacteristic
274C2×C22⋊Dic17C2311yescharacteristic
275C2×C22⋊Dic17C2311yescharacteristic
276C2×C22⋊Dic17C2311yescharacteristic
277C2×C22⋊Dic17C2311yescharacteristic
278C2×C22⋊Dic17C2311yescharacteristic
279C2×C22⋊Dic17C2311yescharacteristic
280C2×C22⋊Dic17C2311yescharacteristic
281C2×C22⋊Dic17C2311yescharacteristic
282C2×C22⋊Dic17C2311yescharacteristic
283C2×C22⋊Dic17C2311yescharacteristic
284C2×C22⋊Dic17C2311yescharacteristic
285C2×C22⋊Dic17C2311yescharacteristic
286C2×C22⋊Dic17C2311yescharacteristic
287C2×C22⋊Dic17C2311yescharacteristic
288C2×C22⋊Dic17C2311yescharacteristic
289#10587626—42no—
290#10587625—24no—
291#10587625—24no—
292#10587625—24no—
293#10587625—24no—
294#10587625—24no—
295#10587625—24no—
296#10587625—42no—
297#10587625—42no—
298#10587625—42no—
299#10587625—42no—
300#10587625—42no—
301#10587624—24no—
302#10587623—24no—
303#10587623—24no—
304#10587623—42no—
305#10587622—24no—
306#10587621—24no—
307#10587621—24no—
308#10587621—24no—
309D4×Dic17—24no—
310#10587616—42no—
311#10587616—42no—
312#10587615—24no—
313#10587615—24no—
314C2×#63227C2311yescharacteristic
315C2×#63227C2311yescharacteristic
316C2×#63227C2311yescharacteristic
317C2×#63227C2311yescharacteristic
318C2×#63227C2311yescharacteristic
319C2×#63227C2311yescharacteristic
320C2×#63227C2311yescharacteristic
321C2×#63227C2311yescharacteristic
322C2×#63227C2311yescharacteristic
323C2×#63227C2311yescharacteristic
324C2×#63227C2311yescharacteristic
325C2×#63227C2311yescharacteristic
326C2×#63227C2311yescharacteristic
327C2×#63227C2311yescharacteristic
328C2×#63227C2311yescharacteristic
329C2×#63227C2311yescharacteristic
330C2×#63227C2311yescharacteristic
331C2×#63227C2311yescharacteristic
332C2×#63227C2311yescharacteristic
333C2×#63227C2311yescharacteristic
334C2×#63227C2311yescharacteristic
335C2×#63227C2311yescharacteristic
336C2×C4⋊Dic17C2311yescharacteristic
337C2×C4⋊Dic17C2311yescharacteristic
338C2×C4⋊Dic17C2311yescharacteristic
339C2×C4⋊Dic17C2311yescharacteristic
340C2×#63225—42no—
341C2×#63225C2311yescharacteristic
342C2×#63225C2311yescharacteristic
343C2×#63225C2311yescharacteristic
344C2×#63225C2311yescharacteristic
345C2×#63225C2311yescharacteristic
346C2×#63225C2311yescharacteristic
347C2×#63225C2311yescharacteristic
348C2×#63225C2311yescharacteristic
349C2×#63225C2311yescharacteristic
350C2×#63225C2311yescharacteristic
351C2×#63225C2311yescharacteristic
352C2×#63225C2311yescharacteristic
353C2×#63225C2311yescharacteristic
354C2×#63225C2311yescharacteristic
355C2×#63225C2311yescharacteristic
356C2×#63225C2311yescharacteristic
357C2×C4×Dic17—42no—
358C2×C4×Dic17C2311yescharacteristic
359C2×C4×Dic17C2311yescharacteristic
360C2×C4×Dic17C2311yescharacteristic
361C2×C4×Dic17C2311yescharacteristic
362C2×C4×Dic17C2311yescharacteristic
363C2×C4×Dic17C2311yescharacteristic
364#10587571—24no—
365#10587571—42no—
366#10587570—42no—
367#10587569—24no—
368#10587568—42no—
369#10587567—24no—
370#10587565—24no—
371#10587565—24no—
372#10587564—24no—
373C17×#95C2311yescharacteristic
374C17×#95C2311yescharacteristic
375C17×#95C2311yescharacteristic
376C17×#95C2311yescharacteristic
377#10587502C2311yescharacteristic
378#10587502C2311yescharacteristic
379#10587502C2311yescharacteristic
380#10587502C2311yescharacteristic
381#10587502C2311yescharacteristic
382#10587502C2311yescharacteristic
383#10587502C2311yescharacteristic
384#10587502C2311yescharacteristic
385#10587502C2311yescharacteristic
386#10587502C2311yescharacteristic
387#10587502C2311yescharacteristic
388#10587502C2311yescharacteristic
389#10587502C2311yescharacteristic
390#10587502C2311yescharacteristic
391#10587502C2311yescharacteristic
392#10587502C2311yescharacteristic
393#10587502C2311yescharacteristic
394#10587502C2311yescharacteristic
395#10587502C2311yescharacteristic
396#10587502C2311yescharacteristic
397C24×C17—22no—
398C24×C17—22no—
399C24×C17—22no—
400C24×C17—41no—
401C24×C17—41no—
402C24×C17—41no—
403C24×C17—41no—
404C24×C17—41no—
405C24×C17—41no—
406C24×C17—41no—
407C24×C17—41no—
408C24×C17—41no—
409C24×C17—41no—
410C24×C17C2×D414yes—
411C24×C17C2411yescharacteristic
412C24×C17C2411yescharacteristic
413C24×C17C2411yescharacteristic
414C24×C17C2411yescharacteristic
415C24×C17C2411yescharacteristic
416C24×C17C2411yescharacteristic
417C23×D17—22no—
418C23×D17—41no—
419C23×D17—41no—
420C23×D17—41no—
421C23×D17—41no—
422C23×D17—41no—
423C23×D17—41no—
424C23×D17C2411yescharacteristic
425C23×D17C2411yescharacteristic
426C23×D17C2411yescharacteristic
427C2×D4×C17—22no—
428C2×D4×C17—22no—
429C2×D4×C17—22no—
430C2×D4×C17—22no—
431C2×D4×C17—22no—
432C2×D4×C17—22no—
433C2×D4×C17—22no—
434C2×D4×C17—22no—
435C2×D4×C17—22no—
436C2×D4×C17—22no—
437C2×D4×C17—22no—
438C2×D4×C17—22no—
439C2×D4×C17—22no—
440C2×D4×C17—22no—
441C2×D4×C17—41no—
442C2×D4×C17—41no—
443C2×D4×C17—41no—
444C2×D4×C17—41no—
445C2×D4×C17—41no—
446C2×D4×C17—41no—
447C2×D4×C17—41no—
448C2×D4×C17—41no—
449C2×D4×C17—41no—
450C2×D4×C17—41no—
451C2×D4×C17—41no—
452C2×D4×C17—41no—
453C2×D4×C17—41no—
454C2×D4×C17—416no—
455C22×C4×C17—22no—
456C22×C4×C17—22no—
457C22×C4×C17—22no—
458C22×C4×C17—22no—
459C22×C4×C17—41no—
460C22×C4×C17—41no—
461C22×C4×C17—41no—
462C22×C4×C17—41no—
463C22×C4×C17—41no—
464C22×C4×C17C2411yescharacteristic
465C22×C4×C17C2411yescharacteristic
466C22×C4×C17C2411yescharacteristic
467C22×C4×C17C2411yescharacteristic
468C22×C4×C17C2411yescharacteristic
469C22×C4×C17C2411yescharacteristic
470C22×C4×C17C2411yescharacteristic
471C22×C4×C17C2411yescharacteristic
472C22×C4×C17C2411yescharacteristic
473C2×C22⋊D17—22no—
474C2×C22⋊D17—22no—
475C2×C22⋊D17—22no—
476C2×C22⋊D17—22no—
477C2×C22⋊D17—22no—
478C2×C22⋊D17—22no—
479C2×C22⋊D17—22no—
480C2×C22⋊D17—22no—
481C2×C22⋊D17—22no—
482C2×C22⋊D17—22no—
483C2×C22⋊D17—22no—
484C2×C22⋊D17—22no—
485C2×C22⋊D17—22no—
486C2×C22⋊D17—22no—
487C2×C22⋊D17—22no—
488C2×C22⋊D17—22no—
489C2×C22⋊D17—22no—
490C2×C22⋊D17—22no—
491C2×C22⋊D17—22no—
492C2×C22⋊D17—22no—
493C2×C22⋊D17—41no—
494C2×C22⋊D17—41no—
495C2×C22⋊D17—41no—
496C2×C22⋊D17—41no—
497C2×C22⋊D17—41no—
498C2×C22⋊D17—41no—
499C2×C22⋊D17—41no—
500C2×C22⋊D17—41no—
501C2×C22⋊D17—41no—
502C2×C22⋊D17—41no—
503C2×C22⋊D17—41no—
504C2×C22⋊D17—41no—
505C2×C22⋊D17—41no—
506C2×C22⋊D17—41no—
507C2×C22⋊D17—41no—
508C2×C22⋊D17—41no—
509C2×C22⋊D17—41no—
510C2×C22⋊D17—41no—
511C2×C22⋊D17—41no—
512C2×C22⋊D17—41no—
513C2×C22⋊D17—41no—
514C2×C22⋊D17—41no—
515C2×C22⋊D17—41no—
516C2×C22⋊D17—41no—
517C2×C22⋊D17—41no—
518C2×C22⋊D17—41no—
519C2×C22⋊D17—41no—
520C2×C22⋊D17—41no—
521C2×C22⋊D17—416no—
522C22×Dic17—22no—
523C22×Dic17—22no—
524C22×Dic17—22no—
525C22×Dic17—22no—
526C22×Dic17—22no—
527C22×Dic17—41no—
528C22×Dic17—41no—
529C22×Dic17—41no—
530C22×Dic17—41no—
531C22×Dic17—41no—
532C22×Dic17—41no—
533C22×Dic17—41no—
534C22×Dic17—41no—
535C22×Dic17—41no—
536C22×Dic17—41no—
537C22×Dic17—41no—
538C22×Dic17C2×D414yes—
539C22×Dic17C2×D414yes—
540C22×Dic17C2411yescharacteristic
541C22×Dic17C2411yescharacteristic
542C22×Dic17C2411yescharacteristic
543C22×Dic17C2411yescharacteristic
544C22×Dic17C2411yescharacteristic
545C22×Dic17C2411yescharacteristic
546C22×Dic17C2411yescharacteristic
547C22×Dic17C2411yescharacteristic
548C22×Dic17C2411yescharacteristic
549C22×Dic17C2411yescharacteristic
550C22×Dic17C2411yescharacteristic
551C22×Dic17C2411yescharacteristic
552C22×Dic17C2411yescharacteristic
553C2×D68—22no—
554C2×D68—41no—
555C2×D68—41no—
556C2×D68—41no—
557C2×D68—41no—
558C2×D68—41no—
559C2×C4×D17—22no—
560C2×C4×D17—41no—
561C2×C4×D17—41no—
562C2×Dic34—22no—
563C2×Dic34—41no—
564C2×Dic34—41no—
565C4⋊C4×C17—41no—
566C4⋊C4×C17—41no—
567C22⋊C4×C17—22no—
568C22⋊C4×C17—22no—
569C22⋊C4×C17—22no—
570C22⋊C4×C17—22no—
571C22⋊C4×C17—22no—
572C22⋊C4×C17—22no—
573C22⋊C4×C17—41no—
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—
582C22⋊Dic17—22no—
583C22⋊Dic17—22no—
584C22⋊Dic17—22no—
585C22⋊Dic17—22no—
586C22⋊Dic17—22no—
587C22⋊Dic17—22no—
588C22⋊Dic17—22no—
589C22⋊Dic17—22no—
590C22⋊Dic17—22no—
591C22⋊Dic17—22no—
592C22⋊Dic17—22no—
593C22⋊Dic17—22no—
594C22⋊Dic17—41no—
595C22⋊Dic17—41no—
596C22⋊Dic17—41no—
597C22⋊Dic17—41no—
598C22⋊Dic17—41no—
599C22⋊Dic17—41no—
600C22⋊Dic17—41no—
601C22⋊Dic17—41no—
602C22⋊Dic17—41no—
603C22⋊Dic17C2×D414yes—
604C22⋊Dic17C2×D414yes—
605C22⋊Dic17C2×D414yes—
606C22⋊Dic17C2×D414yes—
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—41no—
616#63227—41no—
617#63227—41no—
618#63227—41no—
619#63227—41no—
620#63227—41no—
621#63227—41no—
622#63227—41no—
623#63227—41no—
624#63227—41no—
625#63227—41no—
626#63227—41no—
627#63227—41no—
628#63227—41no—
629C4⋊Dic17—22no—
630C4⋊Dic17—22no—
631C4⋊Dic17—41no—
632C4⋊Dic17—41no—
633#63225—22no—
634#63225—22no—
635#63225—22no—
636#63225—22no—
637#63225—22no—
638#63225—22no—
639#63225—22no—
640#63225—22no—
641#63225—22no—
642#63225—22no—
643#63225—41no—
644#63225—41no—
645#63225—41no—
646#63225—41no—
647#63225—41no—
648#63225—41no—
649C4×Dic17—22no—
650C4×Dic17—22no—
651C4×Dic17—22no—
652C4×Dic17—22no—
653C4×Dic17—41no—
654C4×Dic17—41no—
655#36739—171nomaximal, Sylow
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—28no—
673C23×C17—21no—
674C23×C17—21no—
675C23×C17—21no—
676C23×C17—21no—
677C23×C17—21no—
678C23×C17—21no—
679C23×C17—21no—
680C23×C17—21no—
681C23×C17—21no—
682C23×C17—21no—
683C23×C17—21no—
684C23×C17—21no—
685C23×C17—21no—
686C23×C17—21no—
687C23×C17—21no—
688C23×C17—21no—
689C23×C17—21no—
690C23×C17—21no—
691C23×C17—21no—
692C23×C17—21no—
693C23×C17—21no—
694C23×C17—44no—
695C23×C17—44no—
696C23×C17—44no—
697C23×C17—82no—
698C23×C17—82no—
699C23×C17—82no—
700C23×C17—82no—
701C23×C17—82no—
702C23×C17—82no—
703C23×C17—82no—
704C23×C17—82no—
705C23×C17—82no—
706C23×C17—82no—
707C23×C17C22×D412yes—
708C23×C17C22×D412yes—
709C23×C17C22×D412yes—
710C23×C17H(5,𝔽2)12yes—
711C23×C17H(5,𝔽2)12yes—
712C23×C17C2511yescharacteristic
713C22×D17—21no—
714C22×D17—21no—
715C22×D17—21no—
716C22×D17—21no—
717C22×D17—21no—
718C22×D17—21no—
719C22×D17—21no—
720C22×D17—21no—
721C22×D17—21no—
722C22×D17—21no—
723C22×D17—21no—
724C22×D17—21no—
725C22×D17—21no—
726C22×D17—21no—
727C22×D17—21no—
728C22×D17—21no—
729C22×D17—21no—
730C22×D17—21no—
731C22×D17—21no—
732C22×D17—21no—
733C22×D17—21no—
734C22×D17—44no—
735C22×D17—82no—
736C22×D17—82no—
737C22×D17—82no—
738C22×D17—82no—
739C22×D17—82no—
740C22×D17—82no—
741D4×C17—44no—
742D4×C17—44no—
743D4×C17—44no—
744D4×C17—44no—
745D4×C17—44no—
746D4×C17—82no—
747D4×C17—82no—
748D4×C17—82no—
749D4×C17—82no—
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—21no—
763C2×C4×C17—21no—
764C2×C4×C17—21no—
765C2×C4×C17—21no—
766C2×C4×C17—21no—
767C2×C4×C17—21no—
768C2×C4×C17—21no—
769C2×C4×C17—21no—
770C2×C4×C17—21no—
771C2×C4×C17—21no—
772C2×C4×C17—21no—
773C2×C4×C17—21no—
774C2×C4×C17—21no—
775C2×C4×C17—21no—
776C2×C4×C17—44no—
777C2×C4×C17—44no—
778C2×C4×C17—82no—
779C2×C4×C17H(5,𝔽2)12yes—
780C22⋊D17—44no—
781C22⋊D17—44no—
782C22⋊D17—44no—
783C22⋊D17—44no—
784C22⋊D17—44no—
785C22⋊D17—82no—
786C22⋊D17—82no—
787C22⋊D17—82no—
788C22⋊D17—82no—
789C22⋊D17—82no—
790C22⋊D17—82no—
791C22⋊D17—82no—
792C22⋊D17—82no—
793C22⋊D17—82no—
794C22⋊D17—82no—
795C22⋊D17—82no—
796C2×Dic17—21no—
797C2×Dic17—21no—
798C2×Dic17—21no—
799C2×Dic17—21no—
800C2×Dic17—21no—
801C2×Dic17—21no—
802C2×Dic17—21no—
803C2×Dic17—21no—
804C2×Dic17—21no—
805C2×Dic17—21no—
806C2×Dic17—21no—
807C2×Dic17—21no—
808C2×Dic17—21no—
809C2×Dic17—21no—
810C2×Dic17—21no—
811C2×Dic17—21no—
812C2×Dic17—21no—
813C2×Dic17—21no—
814C2×Dic17—21no—
815C2×Dic17—21no—
816C2×Dic17—21no—
817C2×Dic17—21no—
818C2×Dic17—21no—
819C2×Dic17—21no—
820C2×Dic17—21no—
821C2×Dic17—21no—
822C2×Dic17—21no—
823C2×Dic17—21no—
824C2×Dic17—21no—
825C2×Dic17—21no—
826C2×Dic17—21no—
827C2×Dic17—21no—
828C2×Dic17—21no—
829C2×Dic17—21no—
830C2×Dic17—44no—
831C2×Dic17—44no—
832C2×Dic17—44no—
833C2×Dic17—44no—
834C2×Dic17—82no—
835C2×Dic17—82no—
836C2×Dic17C22×D412yes—
837C2×Dic17C22×D412yes—
838C2×Dic17C22×D412yes—
839C2×Dic17C22×D412yes—
840C2×Dic17H(5,𝔽2)12yes—
841D68—82no—
842D68—82no—
843C4×D17—82no—
844Dic34—82no—
845C2×#538—171no—
846C2×#534—171no—
847#2856—171no—
848#2850—171no—
849#2718—171no—
850#2718—171no—
851#2710—171no—
852#2710—171no—
853#2706—171no—
854#2706—171no—
855#2703—171no—
856#2703—171no—
857#2685—171no—
858#2685—171no—
859#2678—171no—
860#2678—171no—
861#2670—171no—
862#2670—171no—
863#2669—171no—
864#2669—171no—
865#2656—171no—
866#2639—171no—
867#2543—171no—
868#2543—171no—
869#2416—171no—
870#2416—171no—
871#2410—171no—
872#2410—171no—
873#2410—171no—
874#2410D1711yescharacteristic, complemented
875C2×#388—171no—
876C22×C17—22no—
877C22×C17—22no—
878C22×C17—22no—
879C22×C17—22no—
880C22×C17—22no—
881C22×C17—22no—
882C22×C17—22no—
883C22×C17—22no—
884C22×C17—22no—
885C22×C17—22no—
886C22×C17—22no—
887C22×C17—22no—
888C22×C17—41no—
889C22×C17—41no—
890C22×C17—41no—
891C22×C17—41no—
892C22×C17—41no—
893C22×C17—41no—
894C22×C17—41no—
895C22×C17—41no—
896C22×C17—41no—
897C22×C17—41no—
898C22×C17—41no—
899C22×C17—41no—
900C22×C17—41no—
901C22×C17—41no—
902C22×C17—41no—
903C22×C17—41no—
904C22×C17—41no—
905C22×C17—41no—
906C22×C17—41no—
907C22×C17—41no—
908C22×C17—41no—
909C22×C17—41no—
910C22×C17—41no—
911C22×C17—41no—
912C22×C17—41no—
913C22×C17—41no—
914C22×C17—41no—
915C22×C17—41no—
916C22×C17—41no—
917C22×C17—88no—
918C22×C17—88no—
919C22×C17#53514yes—
920C22×C17C23×D411yescharacteristic
921C22×C17C2×H(5,𝔽2)11yescharacteristic
922C22×C17C2×H(5,𝔽2)11yescharacteristic
923C22×C17C2×H(5,𝔽2)11yescharacteristic
924C22×C17C2×H(5,𝔽2)11yescharacteristic
925C22×C17#58511yescharacteristic
926C22×C17#58511yescharacteristic
927C2×D17—41no—
928C2×D17—41no—
929C2×D17—41no—
930C2×D17—41no—
931C2×D17—41no—
932C2×D17—41no—
933C2×D17—41no—
934C2×D17—41no—
935C2×D17—41no—
936C2×D17—41no—
937C2×D17—41no—
938C2×D17—41no—
939C2×D17—41no—
940C2×D17—41no—
941C2×D17—41no—
942C2×D17—41no—
943C2×D17—41no—
944C2×D17—41no—
945C2×D17—41no—
946C2×D17—41no—
947C2×D17—41no—
948C2×D17—88no—
949C4×C17—22no—
950C4×C17—41no—
951C4×C17—41no—
952C4×C17—41no—
953C4×C17—41no—
954C4×C17—41no—
955C4×C17—41no—
956C4×C17—41no—
957C4×C17—41no—
958Dic17—22no—
959Dic17—22no—
960Dic17—22no—
961Dic17—22no—
962Dic17—22no—
963Dic17—41no—
964Dic17—41no—
965Dic17—41no—
966Dic17—41no—
967Dic17—41no—
968Dic17—41no—
969Dic17—41no—
970Dic17—41no—
971C23×D4—171no—
972C23×D4C2×D1711yescharacteristic
973#538—348no—
974#534—348no—
975C2×#127—171no—
976C2×#126—171no—
977C2×#126—171no—
978C2×#124—171no—
979C2×#124—171no—
980C2×#124—171no—
981C2×#123—171no—
982C2×#123—171no—
983C2×#123—171no—
984C2×#123—171no—
985C2×#123—171no—
986C2×#123—171no—
987C2×C22⋊Q8—171no—
988C2×#121—171no—
989C2×#121—171no—
990C2×#121—171no—
991C2×#121—171no—
992C2×#121—171no—
993C2×#121—171no—
994C2×#121—171no—
995C2×#121—171no—
996C2×#121—171no—
997C2×#121—171no—
998C2×#121—171no—
999C2×#121—171no—
1000C2×#121—171no—
1001C2×#121—171no—
1002C2×#121—171no—
1003C2×#121C2×D1711yescharacteristic, complemented
1004C2×#121C2×D1711yescharacteristic, complemented
1005C2×#120—171no—
1006C2×#120—171no—
1007C2×#120—171no—
1008C2×#120—171no—
1009C2×#120—171no—
1010C2×#120—171no—
1011C2×#120—171no—
1012C2×#120—171no—
1013C2×#120C2×D1711yescharacteristic
1014C2×#120C2×D1711yescharacteristic, complemented
1015C2×C4×D4—171no—
1016C2×C4×D4—171no—
1017C22×C4⋊C4—171no—
1018C22×C22⋊C4—171no—
1019C22×C22⋊C4—171no—
1020C22×C22⋊C4C2×D1711yescharacteristic
1021C22×C42—171no—
1022#400—171no—
1023#400—171no—
1024#399—171no—
1025#399—171no—
1026#399—171no—
1027#399—171no—
1028#398—171no—
1029#398—171no—
1030#397—171no—
1031#397—171no—
1032#397—171no—
1033#397—171no—
1034#396—171no—
1035#396—171no—
1036#396—171no—
1037#396—171no—
1038#394—171no—
1039#394—171no—
1040#394—171no—
1041#394—171no—
1042#394—171no—
1043#394—171no—
1044#394—171no—
1045#394—171no—
1046#394—171no—
1047#394—171no—
1048#394—171no—
1049#394—171no—
1050#394—171no—
1051#394—171no—
1052#394C2×D1711yescharacteristic
1053#394C2×D1711yescharacteristic
1054#393—171no—
1055#393—171no—
1056#392—171no—
1057#392—171no—
1058#392—171no—
1059#392—171no—
1060#392—171no—
1061#392—171no—
1062#392—171no—
1063#392—171no—
1064#392—171no—
1065#392—171no—
1066#392—171no—
1067#392—171no—
1068#392C2×D1711yescharacteristic
1069#392C2×D1711yescharacteristic
1070#391—171no—
1071#390—171no—
1072#390—171no—
1073#390—171no—
1074#390—171no—
1075#390—171no—
1076#390—171no—
1077#390—171no—
1078#390—171no—
1079#390—171no—
1080#389—171no—
1081#389—171no—
1082#388—171no—
1083#388—171no—
1084#388—171no—
1085#388—171no—
1086#388—171no—
1087#388—171no—
1088#388—171no—
1089#388—171no—
1090#388—171no—
1091#388—171no—
1092#388—171no—
1093#388—171no—
1094#388—171no—
1095#388—171no—
1096#388—171no—
1097#388—171no—
1098#386—171no—
1099#386—171no—
1100#386—171no—
1101#386—171no—
1102#386—171no—
1103#386—171no—
1104#386—171no—
1105#386—171no—
1106#386—171no—
1107#386—171no—
1108#386—171no—
1109#386—171no—
1110#386—171no—
1111#386C2×D1711yescharacteristic, complemented
1112#386C2×D1711yescharacteristic, complemented
1113#386C2×D1711yescharacteristic, complemented
1114#385—171no—
1115#385—171no—
1116#385—171no—
1117#385C2×D1711yescharacteristic, complemented
1118#384—171no—
1119#382—171no—
1120#380—171no—
1121#380—171no—
1122#379—171no—
1123#379—171no—
1124#379—171no—
1125#379C2×D1711yescharacteristic, complemented
1126C2×#95—171no—
1127C2×#95—171no—
1128C2×C17—24no—
1129C2×C17—42no—
1130C2×C17—42no—
1131C2×C17—81no—
1132C2×C17—81no—
1133C2×C17—81no—
1134C2×C17C2×#53511yescharacteristic
1135C2×C17#349611yescharacteristic
1136C2×C17#349611yescharacteristic
1137C2×C17#353411yescharacteristic
1138C2×C17#353711yescharacteristic
1139C2×C17#355811yescharacteristic
1140C2×C17#356011yescharacteristic
1141D17—81no—
1142D17—81no—
1143D17—81no—
1144C25—171no—
1145C25C22×D1711yescharacteristic
1146C25C22×D1711yescharacteristic
1147C22×Q8—171no—
1148C22×D4—24no—
1149C22×D4—42no—
1150C22×D4—42no—
1151C22×D4—171no—
1152C22×D4—171no—
1153C22×D4—171no—
1154C22×D4—171no—
1155C22×D4—171no—
1156C22×D4—171no—
1157C22×D4—171no—
1158C22×D4—171no—
1159C22×D4—171no—
1160C22×D4—171no—
1161C22×D4—171no—
1162C22×D4—171no—
1163C22×D4—171no—
1164C22×D4—171no—
1165C22×D4—171no—
1166C22×D4—171no—
1167C22×D4—171no—
1168C22×D4—171no—
1169C22×D4—344no—
1170C22×D4—682no—
1171C22×D4—682no—
1172C22×D4C22×D1711yescharacteristic
1173C22×D4C22×D1711yescharacteristic
1174C22×D4C22×D1711yescharacteristic
1175C22×D4C22×D1711yescharacteristic
1176C22×D4C22×D1711yescharacteristic
1177C22×D4C22×D1711yescharacteristic
1178C22×D4C22×D1711yescharacteristic
1179C22×D4C22×D1711yescharacteristic
1180C22×D4C22×D1711yescharacteristic
1181C23×C4—171no—
1182C23×C4—171no—
1183C23×C4—171no—
1184C23×C4—171no—
1185C23×C4—171no—
1186C23×C4—171no—
1187C23×C4—171no—
1188C23×C4C22×D1711yescharacteristic
1189C23×C4C22×D1711yescharacteristic
1190C23×C4C22×D1711yescharacteristic
1191#127—682no—
1192#126—344no—
1193#126—344no—
1194#124—344no—
1195#124—344no—
1196#124—682no—
1197#123—344no—
1198#123—344no—
1199#123—344no—
1200#123—344no—
1201#123—344no—
1202#123—344no—
1203C22⋊Q8—344no—
1204#121—42no—
1205#121—42no—
1206#121—344no—
1207#121—344no—
1208#121—344no—
1209#121—344no—
1210#121—344no—
1211#121—344no—
1212#121—344no—
1213#121—682no—
1214#121—682no—
1215#121—682no—
1216#121—682no—
1217#121—682no—
1218#121—682no—
1219#121—682no—
1220#121—682no—
1221#120—24no—
1222#120—42no—
1223#120—344no—
1224#120—344no—
1225#120—344no—
1226#120—344no—
1227#120—344no—
1228#120—682no—
1229#120—682no—
1230#120—682no—
1231C4×D4—344no—
1232C4×D4—344no—
1233C2×C4⋊C4—171no—
1234C2×C4⋊C4—171no—
1235C2×C4⋊C4—171no—
1236C2×C4⋊C4—171no—
1237C2×C4⋊C4—171no—
1238C2×C4⋊C4—171no—
1239C2×C4⋊C4—171no—
1240C2×C4⋊C4—171no—
1241C2×C4⋊C4—171no—
1242C2×C4⋊C4—171no—
1243C2×C4⋊C4—171no—
1244C2×C4⋊C4—171no—
1245C2×C4⋊C4—171no—
1246C2×C4⋊C4—171no—
1247C2×C4⋊C4—171no—
1248C2×C4⋊C4—171no—
1249C2×C4⋊C4—171no—
1250C2×C4⋊C4—171no—
1251C2×C4⋊C4—171no—
1252C2×C4⋊C4—171no—
1253C2×C4⋊C4—682no—
1254C2×C4⋊C4C22×D1711yescharacteristic
1255C2×C4⋊C4C22×D1711yescharacteristic
1256C2×C22⋊C4—42no—
1257C2×C22⋊C4—178no—
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—171no—
1274C2×C22⋊C4—171no—
1275C2×C22⋊C4—171no—
1276C2×C22⋊C4—171no—
1277C2×C22⋊C4—171no—
1278C2×C22⋊C4—171no—
1279C2×C22⋊C4—171no—
1280C2×C22⋊C4—171no—
1281C2×C22⋊C4—171no—
1282C2×C22⋊C4—171no—
1283C2×C22⋊C4—171no—
1284C2×C22⋊C4—171no—
1285C2×C22⋊C4—171no—
1286C2×C22⋊C4—171no—
1287C2×C22⋊C4—171no—
1288C2×C22⋊C4—171no—
1289C2×C22⋊C4—171no—
1290C2×C22⋊C4—171no—
1291C2×C22⋊C4—171no—
1292C2×C22⋊C4—171no—
1293C2×C22⋊C4—171no—
1294C2×C22⋊C4—171no—
1295C2×C22⋊C4—171no—
1296C2×C22⋊C4—171no—
1297C2×C22⋊C4—171no—
1298C2×C22⋊C4—171no—
1299C2×C22⋊C4—171no—
1300C2×C22⋊C4—171no—
1301C2×C22⋊C4—171no—
1302C2×C22⋊C4—171no—
1303C2×C22⋊C4—171no—
1304C2×C22⋊C4—171no—
1305C2×C22⋊C4—682no—
1306C2×C22⋊C4C22×D1711yescharacteristic
1307C2×C22⋊C4C22×D1711yescharacteristic
1308C2×C22⋊C4C22×D1711yescharacteristic
1309C2×C22⋊C4C22×D1711yescharacteristic
1310C2×C22⋊C4C22×D1711yescharacteristic
1311C2×C22⋊C4C22×D1711yescharacteristic
1312C2×C22⋊C4C22×D1711yescharacteristic
1313C2×C22⋊C4C22×D1711yescharacteristic
1314C2×C22⋊C4C22×D1711yescharacteristic
1315C2×C22⋊C4C22×D1711yescharacteristic
1316C2×C22⋊C4C22×D1711yescharacteristic
1317C2×C22⋊C4C22×D1711yescharacteristic
1318C2×C22⋊C4C22×D1711yescharacteristic
1319C2×C22⋊C4C22×D1711yescharacteristic
1320C2×C22⋊C4C22×D1711yescharacteristic
1321C2×C42—171no—
1322C2×C42—171no—
1323C2×C42—171no—
1324C2×C42—171no—
1325C2×C42—171no—
1326C2×C42—171no—
1327C2×C42—682no—
1328#95—171no—
1329#95—171no—
1330#95—171no—
1331#95—171no—
1332#95—171no—
1333#95—171no—
1334#95—171no—
1335#95—171no—
1336#95—171no—
1337#95—171no—
1338#95—171no—
1339#95—171no—
1340#95—171no—
1341#95—171no—
1342#95—171no—
1343#95—171no—
1344#95—171no—
1345#95—171no—
1346#95—171no—
1347#95—171no—
1348#95C22×D1711yescharacteristic
1349#95C22×D1711yescharacteristic
1350#95C22×D1711yescharacteristic
1351#95C22×D1711yescharacteristic
1352C17#3673911yescharacteristic, complemented, Sylow
1353C24—22no—
1354C24—22no—
1355C24—22no—
1356C24—41no—
1357C24—41no—
1358C24—41no—
1359C24—41no—
1360C24—41no—
1361C24—41no—
1362C24—41no—
1363C24—41no—
1364C24—41no—
1365C24—41no—
1366C24—171no—
1367C24—171no—
1368C24—171no—
1369C24—342no—
1370C24—681no—
1371C24—681no—
1372C24—681no—
1373C24—681no—
1374C24—681no—
1375C24—681no—
1376C24D4×D1714yes—
1377C24C23×D1711yescharacteristic
1378C24C23×D1711yescharacteristic
1379C24C23×D1711yescharacteristic
1380C24C23×D1711yescharacteristic
1381C24C23×D1711yescharacteristic
1382C24C23×D1711yescharacteristic
1383C2×Q8—342no—
1384C2×Q8—681no—
1385C2×Q8—681no—
1386C2×D4—22no—
1387C2×D4—22no—
1388C2×D4—22no—
1389C2×D4—22no—
1390C2×D4—22no—
1391C2×D4—22no—
1392C2×D4—22no—
1393C2×D4—22no—
1394C2×D4—22no—
1395C2×D4—22no—
1396C2×D4—22no—
1397C2×D4—22no—
1398C2×D4—22no—
1399C2×D4—22no—
1400C2×D4—41no—
1401C2×D4—41no—
1402C2×D4—41no—
1403C2×D4—41no—
1404C2×D4—41no—
1405C2×D4—41no—
1406C2×D4—41no—
1407C2×D4—41no—
1408C2×D4—41no—
1409C2×D4—41no—
1410C2×D4—41no—
1411C2×D4—41no—
1412C2×D4—41no—
1413C2×D4—416no—
1414C2×D4—342no—
1415C2×D4—342no—
1416C2×D4—342no—
1417C2×D4—342no—
1418C2×D4—342no—
1419C2×D4—342no—
1420C2×D4—342no—
1421C2×D4—342no—
1422C2×D4—342no—
1423C2×D4—342no—
1424C2×D4—342no—
1425C2×D4—342no—
1426C2×D4—342no—
1427C2×D4—342no—
1428C2×D4—342no—
1429C2×D4—342no—
1430C2×D4—342no—
1431C2×D4—342no—
1432C2×D4—342no—
1433C2×D4—342no—
1434C2×D4—342no—
1435C2×D4—681no—
1436C2×D4—681no—
1437C2×D4—681no—
1438C2×D4—681no—
1439C2×D4—681no—
1440C2×D4—681no—
1441C2×D4—681no—
1442C2×D4—681no—
1443C2×D4—681no—
1444C2×D4—681no—
1445C2×D4—681no—
1446C2×D4—681no—
1447C2×D4—681no—
1448C2×D4—681no—
1449C2×D4—681no—
1450C2×D4—681no—
1451C2×D4—681no—
1452C2×D4—681no—
1453C2×D4—681no—
1454C2×D4—681no—
1455C2×D4—681no—
1456C2×D4—681no—
1457C2×D4—681no—
1458C2×D4—681no—
1459C2×D4—681no—
1460C2×D4—681no—
1461C2×D4—681no—
1462C2×D4—681no—
1463C2×D4—681no—
1464C2×D4—681no—
1465C2×D4—681no—
1466C2×D4—681no—
1467C2×D4—681no—
1468C2×D4—6816no—
1469C22×C4—22no—
1470C22×C4—22no—
1471C22×C4—22no—
1472C22×C4—22no—
1473C22×C4—41no—
1474C22×C4—41no—
1475C22×C4—41no—
1476C22×C4—41no—
1477C22×C4—41no—
1478C22×C4—171no—
1479C22×C4—171no—
1480C22×C4—171no—
1481C22×C4—171no—
1482C22×C4—171no—
1483C22×C4—174no—
1484C22×C4—174no—
1485C22×C4—171no—
1486C22×C4—171no—
1487C22×C4—171no—
1488C22×C4—171no—
1489C22×C4—171no—
1490C22×C4—171no—
1491C22×C4—171no—
1492C22×C4—171no—
1493C22×C4—342no—
1494C22×C4—342no—
1495C22×C4—342no—
1496C22×C4—342no—
1497C22×C4—342no—
1498C22×C4—342no—
1499C22×C4—681no—
1500C22×C4—681no—
1501C22×C4—681no—
1502C22×C4—681no—
1503C22×C4—681no—
1504C22×C4—681no—
1505C22×C4—681no—
1506C22×C4—681no—
1507C22×C4—681no—
1508C22×C4—681no—
1509C22×C4—681no—
1510C22×C4—681no—
1511C22×C4—681no—
1512C22×C4C23×D1711yescharacteristic
1513C22×C4C23×D1711yescharacteristic
1514C22×C4C23×D1711yescharacteristic
1515C22×C4C23×D1711yescharacteristic
1516C22×C4C23×D1711yescharacteristic
1517C22×C4C23×D1711yescharacteristic
1518C22×C4C23×D1711yescharacteristic
1519C22×C4C23×D1711yescharacteristic
1520C22×C4C23×D1711yescharacteristic
1521C4⋊C4—41no—
1522C4⋊C4—41no—
1523C4⋊C4—342no—
1524C4⋊C4—342no—
1525C4⋊C4—342no—
1526C4⋊C4—342no—
1527C4⋊C4—342no—
1528C4⋊C4—342no—
1529C4⋊C4—342no—
1530C4⋊C4—342no—
1531C4⋊C4—342no—
1532C4⋊C4—342no—
1533C4⋊C4—342no—
1534C4⋊C4—342no—
1535C4⋊C4—681no—
1536C4⋊C4—681no—
1537C4⋊C4—681no—
1538C4⋊C4—681no—
1539C4⋊C4—681no—
1540C4⋊C4—681no—
1541C4⋊C4—681no—
1542C4⋊C4—681no—
1543C22⋊C4—22no—
1544C22⋊C4—22no—
1545C22⋊C4—22no—
1546C22⋊C4—22no—
1547C22⋊C4—22no—
1548C22⋊C4—22no—
1549C22⋊C4—41no—
1550C22⋊C4—41no—
1551C22⋊C4—41no—
1552C22⋊C4—41no—
1553C22⋊C4—41no—
1554C22⋊C4—41no—
1555C22⋊C4—41no—
1556C22⋊C4—41no—
1557C22⋊C4—41no—
1558C22⋊C4—174no—
1559C22⋊C4—174no—
1560C22⋊C4—174no—
1561C22⋊C4—174no—
1562C22⋊C4—342no—
1563C22⋊C4—342no—
1564C22⋊C4—342no—
1565C22⋊C4—342no—
1566C22⋊C4—342no—
1567C22⋊C4—342no—
1568C22⋊C4—342no—
1569C22⋊C4—342no—
1570C22⋊C4—342no—
1571C22⋊C4—342no—
1572C22⋊C4—342no—
1573C22⋊C4—342no—
1574C22⋊C4—342no—
1575C22⋊C4—342no—
1576C22⋊C4—342no—
1577C22⋊C4—342no—
1578C22⋊C4—342no—
1579C22⋊C4—342no—
1580C22⋊C4—342no—
1581C22⋊C4—342no—
1582C22⋊C4—681no—
1583C22⋊C4—681no—
1584C22⋊C4—681no—
1585C22⋊C4—681no—
1586C22⋊C4—681no—
1587C22⋊C4—681no—
1588C22⋊C4—681no—
1589C22⋊C4—681no—
1590C22⋊C4—681no—
1591C22⋊C4—681no—
1592C22⋊C4—681no—
1593C22⋊C4—681no—
1594C22⋊C4—681no—
1595C22⋊C4—681no—
1596C22⋊C4—681no—
1597C22⋊C4—681no—
1598C22⋊C4—681no—
1599C22⋊C4—681no—
1600C22⋊C4—681no—
1601C22⋊C4—681no—
1602C22⋊C4—681no—
1603C22⋊C4—681no—
1604C22⋊C4—681no—
1605C42—342no—
1606C42—342no—
1607C42—342no—
1608C42—342no—
1609C42—681no—
1610C42—681no—
1611C23—21no—
1612C23—21no—
1613C23—21no—
1614C23—21no—
1615C23—21no—
1616C23—21no—
1617C23—21no—
1618C23—21no—
1619C23—21no—
1620C23—21no—
1621C23—21no—
1622C23—21no—
1623C23—21no—
1624C23—21no—
1625C23—21no—
1626C23—21no—
1627C23—28no—
1628C23—21no—
1629C23—21no—
1630C23—21no—
1631C23—21no—
1632C23—21no—
1633C23—21no—
1634C23—21no—
1635C23—21no—
1636C23—21no—
1637C23—21no—
1638C23—21no—
1639C23—21no—
1640C23—21no—
1641C23—21no—
1642C23—21no—
1643C23—21no—
1644C23—21no—
1645C23—21no—
1646C23—21no—
1647C23—21no—
1648C23—21no—
1649C23—44no—
1650C23—44no—
1651C23—44no—
1652C23—82no—
1653C23—82no—
1654C23—82no—
1655C23—82no—
1656C23—82no—
1657C23—82no—
1658C23—82no—
1659C23—82no—
1660C23—82no—
1661C23—82no—
1662C23—341no—
1663C23—341no—
1664C23—341no—
1665C23—341no—
1666C23—341no—
1667C23—341no—
1668C23—341no—
1669C23—341no—
1670C23—341no—
1671C23—341no—
1672C23—341no—
1673C23—341no—
1674C23—341no—
1675C23—341no—
1676C23—341no—
1677C23—341no—
1678C23—341no—
1679C23—341no—
1680C23—341no—
1681C23—341no—
1682C23—341no—
1683C23—684no—
1684C23—1362no—
1685C23—1362no—
1686C23—1362no—
1687C23—1362no—
1688C23—1362no—
1689C23—1362no—
1690C23C2×D4×D1712yes—
1691C23C2×D4×D1712yes—
1692C23C2×D4×D1712yes—
1693C23#1058769112yes—
1694C23#1058769112yes—
1695C23C24×D1711yescharacteristic
1696Q8—1362no—
1697D4—44no—
1698D4—44no—
1699D4—44no—
1700D4—44no—
1701D4—44no—
1702D4—82no—
1703D4—82no—
1704D4—82no—
1705D4—82no—
1706D4—684no—
1707D4—684no—
1708D4—684no—
1709D4—684no—
1710D4—684no—
1711D4—1362no—
1712D4—1362no—
1713D4—1362no—
1714D4—1362no—
1715D4—1362no—
1716D4—1362no—
1717D4—1362no—
1718D4—1362no—
1719D4—1362no—
1720D4—1362no—
1721D4—1362no—
1722D4—1362no—
1723D4—1362no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—44no—
1751C2×C4—44no—
1752C2×C4—82no—
1753C2×C4—172no—
1754C2×C4—172no—
1755C2×C4—172no—
1756C2×C4—172no—
1757C2×C4—172no—
1758C2×C4—341no—
1759C2×C4—341no—
1760C2×C4—341no—
1761C2×C4—341no—
1762C2×C4—341no—
1763C2×C4—341no—
1764C2×C4—341no—
1765C2×C4—341no—
1766C2×C4—341no—
1767C2×C4—341no—
1768C2×C4—341no—
1769C2×C4—341no—
1770C2×C4—341no—
1771C2×C4—341no—
1772C2×C4—341no—
1773C2×C4—341no—
1774C2×C4—341no—
1775C2×C4—341no—
1776C2×C4—341no—
1777C2×C4—341no—
1778C2×C4—341no—
1779C2×C4—341no—
1780C2×C4—341no—
1781C2×C4—341no—
1782C2×C4—341no—
1783C2×C4—341no—
1784C2×C4—341no—
1785C2×C4—341no—
1786C2×C4—341no—
1787C2×C4—341no—
1788C2×C4—341no—
1789C2×C4—341no—
1790C2×C4—341no—
1791C2×C4—341no—
1792C2×C4—684no—
1793C2×C4—684no—
1794C2×C4—684no—
1795C2×C4—684no—
1796C2×C4—1362no—
1797C2×C4—1362no—
1798C2×C4—1362no—
1799C2×C4#1058769112yes—
1800C22—22no—
1801C22—22no—
1802C22—22no—
1803C22—22no—
1804C22—22no—
1805C22—22no—
1806C22—22no—
1807C22—22no—
1808C22—22no—
1809C22—22no—
1810C22—22no—
1811C22—22no—
1812C22—41no—
1813C22—41no—
1814C22—41no—
1815C22—41no—
1816C22—41no—
1817C22—41no—
1818C22—41no—
1819C22—41no—
1820C22—41no—
1821C22—41no—
1822C22—41no—
1823C22—41no—
1824C22—41no—
1825C22—41no—
1826C22—41no—
1827C22—41no—
1828C22—41no—
1829C22—41no—
1830C22—41no—
1831C22—41no—
1832C22—41no—
1833C22—41no—
1834C22—41no—
1835C22—41no—
1836C22—41no—
1837C22—41no—
1838C22—41no—
1839C22—41no—
1840C22—41no—
1841C22—88no—
1842C22—88no—
1843C22—681no—
1844C22—681no—
1845C22—681no—
1846C22—681no—
1847C22—681no—
1848C22—681no—
1849C22—681no—
1850C22—681no—
1851C22—681no—
1852C22—681no—
1853C22—681no—
1854C22—681no—
1855C22—681no—
1856C22—681no—
1857C22—681no—
1858C22—681no—
1859C22—681no—
1860C22—681no—
1861C22—681no—
1862C22—681no—
1863C22—681no—
1864C22—1368no—
1865C22#1176337414yes—
1866C22C22×D4×D1711yescharacteristic
1867C22H(5,𝔽2)×D1711yescharacteristic
1868C22C2×#1058769111yescharacteristic
1869C22C2×#1058769111yescharacteristic
1870C22C2×#1058769111yescharacteristic
1871C22#1176364411yescharacteristic
1872C22#1176364511yescharacteristic
1873C4—22no—
1874C4—41no—
1875C4—41no—
1876C4—41no—
1877C4—41no—
1878C4—41no—
1879C4—41no—
1880C4—41no—
1881C4—41no—
1882C4—342no—
1883C4—342no—
1884C4—342no—
1885C4—342no—
1886C4—342no—
1887C4—681no—
1888C4—681no—
1889C4—681no—
1890C4—681no—
1891C4—681no—
1892C4—681no—
1893C4—681no—
1894C4—681no—
1895C2—24no—
1896C2—42no—
1897C2—42no—
1898C2—81no—
1899C2—81no—
1900C2—81no—
1901C2—1361no—
1902C2—1361no—
1903C2—1361no—
1904C2C2×#1176337411yescharacteristic
1905C2#1454254111yescharacteristic
1906C2#1454254511yescharacteristic
1907C2#1454296211yescharacteristic
1908C2#1454301511yescharacteristic
1909C2#1454329411yescharacteristic
1910C2#1454332811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D17
commutator, socle, cosocleC23×C17C25
FittingC17×#2410C2
hypercenter#2410D17
hypocenterC17#36739
LCSG ▷ C23×C17 ▷ C17
UCSC1 ◁ C23 ◁ #2410

Complements

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

NH ≅ G/Ntype
1. C2×#11763394C2semidirect
2. C2×#11763368C2semidirect
3. #14537127C2semidirect
4. #14537081C2semidirect
5. #14535640C2semidirect
6. #14535634C2semidirect
7. #14535532C2semidirect
8. #14535526C2semidirect
9. #14535479C2semidirect
10. #14535473C2semidirect
11. #14535434C2semidirect
12. #14535428C2semidirect
13. #14535181C2semidirect
14. #14535175C2semidirect
15. #14535113C2semidirect
16. #14535111C2semidirect
17. #14535012C2semidirect
18. #14535006C2semidirect
19. #14535003C2semidirect
20. #14535001C2semidirect
21. #14534888C2semidirect
22. #14534714C2semidirect
23. #14533748C2semidirect
24. #14533742C2semidirect
25. #14532223C2semidirect
26. #14532221C2semidirect
27. #14532159C2semidirect
28. #14532158C2semidirect
29. #14532152C2semidirect
30. C2×#11762697C2semidirect
31. C17×#2410C2semidirect
35. C2×#10587626C22semidirect
36. C2×#10587565C22semidirect
37. C2×#10587565C22semidirect
38. C2×#10587622C22semidirect
39. C2×#10587571C22semidirect
40. C2×#10587571C22semidirect
43. C2×#10587569C22semidirect
46. C2×#10587621C22semidirect
47. C2×#10587564C22semidirect
48. C2×#10587616C22semidirect
49. C2×#10587616C22semidirect
50. C2×#10587570C22semidirect
55. C2×#10587625C22semidirect
56. C2×#10587625C22semidirect
57. C2×#10587625C22semidirect
58. C2×#10587625C22semidirect
59. C2×#10587625C22semidirect
60. C2×#10587625C22semidirect
61. C2×#10587625C22semidirect
62. C2×#10587624C22semidirect
63. C2×#10587568C22semidirect
67. C2×#10587639C22semidirect
70. C2×#10587623C22semidirect
71. C2×D4×Dic17C22semidirect
72. C2×#10587567C22semidirect
73. C22×#63225C22semidirect
76. C22×C4×Dic17C22semidirect
77. #11762751C22semidirect
78. #11762750C22semidirect
79. #11762745C22semidirect
80. #11762745C22semidirect
81. #11762744C22semidirect
82. #11762744C22semidirect
83. #11762743C22semidirect
84. #11762742C22semidirect
85. #11762738C22semidirect
86. #11762738C22semidirect
87. #11762737C22semidirect
88. #11762737C22semidirect
89. #11762733C22semidirect
90. #11762732C22semidirect
91. #11762732C22semidirect
92. #11762731C22semidirect
93. #11762727C22semidirect
96. #11762725C22semidirect
97. #11762725C22semidirect
100. #11762724C22semidirect
101. #11762724C22semidirect
102. #11762724C22semidirect
103. #11762724C22semidirect
106. #11762723C22semidirect
107. #11762722C22semidirect
108. #11762721C22semidirect
111. #11762718C22semidirect
112. #11762718C22semidirect
113. #11762718C22semidirect
118. #11762717C22semidirect
119. #11762717C22semidirect
120. #11762717C22semidirect
121. #11762713C22semidirect
122. #11762712C22semidirect
123. #11762710C22semidirect
124. #11762709C22semidirect
125. #11762709C22semidirect
126. #11762709C22semidirect
127. #11762709C22semidirect
128. #11762709C22semidirect
129. #11762709C22semidirect
130. #11762709C22semidirect
131. #11762706C22semidirect
132. #11762704C22semidirect
133. #11762703C22semidirect
134. #11762702C22semidirect
135. #11762702C22semidirect
136. #11762701C22semidirect
137. #11762699C22semidirect
138. #11762698C22semidirect
139. #11762698C22semidirect
140. #11762697C22semidirect
141. #11762697C22semidirect
142. #11762697C22semidirect
143. #11762697C22semidirect
144. #11762697C22semidirect
145. #11762697C22semidirect
146. #11762697C22semidirect
147. #11762697C22semidirect
148. #11762697C22semidirect
149. #11762689C22semidirect
150. #11762689C22semidirect
151. #11762689C22semidirect
152. #11762689C22semidirect
153. #11762688C22semidirect
154. #11762688C22semidirect
155. #11762688C22semidirect
156. #11762687C22semidirect
157. #11762686C22semidirect
158. #11762686C22semidirect
159. #11762686C22semidirect
160. #11762686C22semidirect
161. #11762685C22semidirect
162. #11762684C22semidirect
163. #11762682C22semidirect
164. #11762681C22semidirect
165. #11762678C22semidirect
166. #11762673C22semidirect
167. #11762668C22semidirect
168. #11762667C22semidirect
169. #11762665C22semidirect
170. #11762664C22semidirect
171. #11762664C22semidirect
172. C2×#10587502C22semidirect
173. C2×#10587502C22semidirect
175. C2×C17×#121C22semidirect
176. C2×C17×#121C22semidirect
178. C2×C17×#120C22semidirect
184. C17×#386C22semidirect
185. C17×#386C22semidirect
186. C17×#386C22semidirect
187. C17×#385C22semidirect
188. C17×#379C22semidirect
263. C2×C22⋊Dic17D4semidirect
874. #2410D17semidirect
1003. C2×#121C2×D17semidirect
1004. C2×#121C2×D17semidirect
1014. C2×#120C2×D17semidirect
1111. #386C2×D17semidirect
1112. #386C2×D17semidirect
1113. #386C2×D17semidirect
1117. #385C2×D17semidirect
1125. #379C2×D17semidirect
1352. C17#36739semidirect

Maximal subgroups

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

subgroupindex
C2×#117633942
C2×#117633682
#145371272
#145370812
#145356402
#145356342
#145355322
#145355262
#145354792
#145354732
#145354342
#145354282
#145351812
#145351752
#145351132
#145351112
#145350122
#145350062
#145350032
#145350012
#145348882
#145347142
#145337482
#145337422
#145322232
#145322212
#145321592
#145321582
#145321522
C2×#117626972
C17×#24102
#3673917