Finite Group Databasebeta

← #17207278

Subgroups — #17207278

Order 4352.

2756 conjugacy classes of subgroups.

The subgroup lattice has 1844 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11763397C211yesmaximal, characteristic, complemented
2C2×#11763392C211yesmaximal, characteristic, complemented
3#14537150C211yesmaximal, characteristic, complemented
4#14537138C211yesmaximal, characteristic, complemented
5#14537128C211yesmaximal, characteristic, complemented
6#14537111C211yesmaximal, characteristic, complemented
7#14534927C211yesmaximal, characteristic, complemented
8#14534925C211yesmaximal, characteristic, complemented
9#14534916C211yesmaximal, characteristic, complemented
10#14534914C211yesmaximal, characteristic, complemented
11#14533860C211yesmaximal, characteristic, complemented
12#14533856C211yesmaximal, characteristic, complemented
13#14533850C211yesmaximal, characteristic, complemented
14#14533848C211yesmaximal, characteristic, complemented
15#14533367C211yesmaximal, characteristic, complemented
16#14533146C211yesmaximal, characteristic, complemented
17#14532915C211yesmaximal, characteristic, complemented
18#14532907C211yesmaximal, characteristic, complemented
19#14532546C211yesmaximal, characteristic, complemented
20#14532485C211yesmaximal, characteristic, complemented
21#14532419C211yesmaximal, characteristic, complemented
22#14532371C211yesmaximal, characteristic, complemented
23#14532318C211yesmaximal, characteristic, complemented
24#14532316C211yesmaximal, characteristic, complemented
25#14532223C211yesmaximal, characteristic, complemented
26#14532139C211yesmaximal, characteristic, complemented
27#14531444C211yesmaximal, characteristic, complemented
28C4×#10587625C211yesmaximal, characteristic, complemented
29C2×#11762709C211yesmaximal, characteristic, complemented
30C4×#10587567C211yesmaximal, characteristic, complemented
31C17×#2321C211yesmaximal, characteristic, complemented
32C23×C22⋊D17C2211yescharacteristic
33#11763397—28no—
34#11763392—28no—
35C2×#10587574C2211yescharacteristic, complemented
36C2×#10587626C2211yescharacteristic
37C2×#10587626C2211yescharacteristic
38C2×#10587584C2211yescharacteristic, complemented
39C2×#10587562C2211yescharacteristic, complemented
40C2×#10587565C2211yescharacteristic, complemented
41C2×#10587565C2211yescharacteristic, complemented
42C2×#10587561C2211yescharacteristic, complemented
43C2×#10587571C2211yescharacteristic, complemented
44C2×#10587571C2211yescharacteristic, complemented
45C2×#10587571C2211yescharacteristic, complemented
46C2×#10587571C2211yescharacteristic, complemented
47C2×#10587571C2211yescharacteristic, complemented
48C2×#10587580C2211yescharacteristic, complemented
49C2×#10587615C2211yescharacteristic, complemented
50C2×#10587569C2211yescharacteristic, complemented
51C2×#10587569C2211yescharacteristic, complemented
52C2×#10587610C2211yescharacteristic
53C2×#10587564C2211yescharacteristic
54C2×#10587581C2211yescharacteristic, complemented
55C2×#10587616C2211yescharacteristic
56C2×#10587616C2211yescharacteristic, complemented
57C2×#10587570C2211yescharacteristic
58C2×#10587570C2211yescharacteristic
59C2×#10587570C2211yescharacteristic, complemented
60C2×#10587570C2211yescharacteristic, complemented
61C2×#10587570C2211yescharacteristic, complemented
62C2×#10587570C2211yescharacteristic, complemented
63C2×#10587625C2211yescharacteristic
64C2×#10587625C2211yescharacteristic
65C2×#10587624C2211yescharacteristic, complemented
66C2×#10587568C2211yescharacteristic
67C2×#10587568C2211yescharacteristic
68C2×#10587639C2211yescharacteristic
69C2×#10587639C2211yescharacteristic
70C2×#10587623C2211yescharacteristic
71C2×C4×C22⋊D17C2211yescharacteristic
72C2×C4×C22⋊D17C2211yescharacteristic
73C2×C4×C22⋊D17C2211yescharacteristic, complemented
74C2×#10587567C2211yescharacteristic
75C2×#10587567C2211yescharacteristic
76C22×#63225C2211yescharacteristic
77C22×C22⋊Dic17C2211yescharacteristic
78C22×#63227C2211yescharacteristic
79C22×#63227C2211yescharacteristic
80C22×C4×Dic17C2211yescharacteristic
81C2×C42×D17C2211yescharacteristic, complemented
82#11762743C2211yescharacteristic, complemented
83#11762742C2211yescharacteristic, complemented
84#11762738C2211yescharacteristic, complemented
85#11762737C2211yescharacteristic, complemented
86#11762733C2211yescharacteristic, complemented
87#11762732C2211yescharacteristic, complemented
88#11762732C2211yescharacteristic, complemented
89#11762731C2211yescharacteristic, complemented
90#11762730C2211yescharacteristic, complemented
91#11762729C2211yescharacteristic, complemented
92#11762727C2211yescharacteristic, complemented
93#11762727C2211yescharacteristic, complemented
94#11762726C2211yescharacteristic, complemented
95#11762725C2211yescharacteristic, complemented
96#11762725C2211yescharacteristic, complemented
97#11762725C2211yescharacteristic, complemented
98#11762724C2211yescharacteristic
99#11762724C2211yescharacteristic
100#11762724C2211yescharacteristic, complemented
101#11762724C2211yescharacteristic, complemented
102#11762724C2211yescharacteristic, complemented
103#11762723C2211yescharacteristic, complemented
104#11762722C2211yescharacteristic, complemented
105#11762721C2211yescharacteristic, complemented
106#11762719C2211yescharacteristic, complemented
107#11762718C2211yescharacteristic
108#11762718C2211yescharacteristic
109#11762718C2211yescharacteristic
110#11762718C2211yescharacteristic
111#11762717C2211yescharacteristic
112#11762717C2211yescharacteristic
113#11762717C2211yescharacteristic, complemented
114#11762712C2211yescharacteristic, complemented
115#11762711C2211yescharacteristic, complemented
116#11762711C2211yescharacteristic, complemented
117#11762710C2211yescharacteristic, complemented
118#11762709C2211yescharacteristic
119#11762709C2211yescharacteristic
120#11762709C2211yescharacteristic
121#11762709C2211yescharacteristic
122#11762709C2211yescharacteristic
123#11762709C2211yescharacteristic
124#11762709C2211yescharacteristic
125#11762709C2211yescharacteristic
126#11762709C2211yescharacteristic
127#11762709C2211yescharacteristic
128#11762709C2211yescharacteristic
129#11762709C2211yescharacteristic
130#11762709C2211yescharacteristic, complemented
131#11762709C2211yescharacteristic, complemented
132#11762709C2211yescharacteristic, complemented
133#11762709C2211yescharacteristic, complemented
134#11762706C2211yescharacteristic, complemented
135#11762706C2211yescharacteristic, complemented
136#11762706C2211yescharacteristic, complemented
137#11762704C2211yescharacteristic, complemented
138#11762703C2211yescharacteristic, complemented
139#11762702C2211yescharacteristic, complemented
140#11762701C2211yescharacteristic, complemented
141#11762701C2211yescharacteristic, complemented
142#11762701C2211yescharacteristic, complemented
143#11762701C2211yescharacteristic, complemented
144#11762700C2211yescharacteristic, complemented
145#11762700C2211yescharacteristic, complemented
146#11762699C2211yescharacteristic, complemented
147#11762698C2211yescharacteristic, complemented
148#11762697C2211yescharacteristic, complemented
149#11762697C2211yescharacteristic, complemented
150#11762689C2211yescharacteristic
151#11762687C2211yescharacteristic, complemented
152#11762687C2211yescharacteristic, complemented
153#11762687C2211yescharacteristic, complemented
154#11762686C2211yescharacteristic
155#11762686C2211yescharacteristic
156#11762685C2211yescharacteristic, complemented
157#11762684C2211yescharacteristic
158#11762678C2211yescharacteristic, complemented
159#11762668C2211yescharacteristic, complemented
160#11762667C2211yescharacteristic
161#11762664C2211yescharacteristic
162C4×#63225C2211yescharacteristic, complemented
163C4×#63225C2211yescharacteristic, complemented
164#11762660C2211yescharacteristic, complemented
165#11762660C2211yescharacteristic, complemented
166C22⋊C4×Dic17C2211yescharacteristic
167C22⋊C4×Dic17C2211yescharacteristic
168C4×#63227C2211yescharacteristic, complemented
169C4×#63227C2211yescharacteristic, complemented
170C4×C22⋊Dic17C2211yescharacteristic, complemented
171#11762656C2211yescharacteristic, complemented
172#11762656C2211yescharacteristic, complemented
173C42×Dic17C2211yescharacteristic, complemented
174C2×C17×#120C2211yescharacteristic
175C2×C4×D4×C17C2211yescharacteristic
176C22×C22⋊C4×C17C2211yescharacteristic
177C17×#390C2211yescharacteristic, complemented
178C17×#390C2211yescharacteristic, complemented
179C17×#388C2211yescharacteristic, complemented
180C17×#388C2211yescharacteristic, complemented
181C17×#388C2211yescharacteristic, complemented
182C17×#388C2211yescharacteristic, complemented
183C17×#386C2211yescharacteristic
184C17×#386C2211yescharacteristic, complemented
185C17×#386C2211yescharacteristic, complemented
186C17×#385C2211yescharacteristic
187C17×#379C2211yescharacteristic
188C4×C22⋊C4×C17C2211yescharacteristic
189C25×C17C2311yescharacteristic
190C24×D17C2311yescharacteristic
191C22×D4×C17C2311yescharacteristic
192C22×D4×C17C2311yescharacteristic
193C22×D4×C17C2311yescharacteristic
194C23×C4×C17C2311yescharacteristic
195C23×C4×C17C2311yescharacteristic
196C23×C4×C17C2311yescharacteristic
197C22×C22⋊D17—24no—
198C22×C22⋊D17—42no—
199C22×C22⋊D17—42no—
200C22×C22⋊D17C2311yescharacteristic
201C22×C22⋊D17C2311yescharacteristic
202C22×C22⋊D17C2311yescharacteristic
203C22×C22⋊D17C2311yescharacteristic
204C22×C22⋊D17C2311yescharacteristic
205C22×C22⋊D17C2311yescharacteristic
206C22×C22⋊D17C2311yescharacteristic
207C22×C22⋊D17C2311yescharacteristic
208C22×C22⋊D17C2311yescharacteristic
209C22×C22⋊D17C2311yescharacteristic
210C22×C22⋊D17C2311yescharacteristic
211C22×C22⋊D17C2311yescharacteristic
212C22×C22⋊D17C2311yescharacteristic
213C22×C22⋊D17C2311yescharacteristic
214C23×Dic17C2311yescharacteristic
215C23×Dic17C2311yescharacteristic
216C23×Dic17C2311yescharacteristic
217C22×D68C2311yescharacteristic
218C22×D68C2311yescharacteristic
219C22×D68C2311yescharacteristic
220C22×D68C2311yescharacteristic
221C22×D68C2311yescharacteristic
222C22×C4×D17C2311yescharacteristic
223C22×C4×D17C2311yescharacteristic
224C22×C4×D17C2311yescharacteristic
225C22×C4×D17C2311yescharacteristic
226C22×Dic34C2311yescharacteristic
227C22×Dic34C2311yescharacteristic
228C17×#120—24no—
229C4×D4×C17—24no—
230C2×C4⋊C4×C17C2311yescharacteristic
231C2×C4⋊C4×C17C2311yescharacteristic
232C2×C4⋊C4×C17C2311yescharacteristic
233C2×C22⋊C4×C17—24no—
234C2×C22⋊C4×C17C2311yescharacteristic
235C2×C22⋊C4×C17C2311yescharacteristic
236C2×C22⋊C4×C17C2311yescharacteristic
237C2×C22⋊C4×C17C2311yescharacteristic
238C2×C22⋊C4×C17C2311yescharacteristic
239C2×C22⋊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×C42×C17C2311yescharacteristic
251C2×C42×C17C2311yescharacteristic
252C2×C42×C17C2311yescharacteristic
253#10587639—24no—
254#10587639—24no—
255C2×C22⋊Dic17—42no—
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
270#10587626—42no—
271#10587626—42no—
272#10587625—24no—
273#10587625—24no—
274#10587624—42no—
275#10587623—24no—
276#10587616—24no—
277#10587616—24no—
278#10587615—24no—
279C4×C22⋊D17—24no—
280C4×C22⋊D17—42no—
281C4×C22⋊D17D418yescomplemented
282C2×#63227—24no—
283C2×#63227—42no—
284C2×#63227C2311yescharacteristic
285C2×#63227C2311yescharacteristic
286C2×#63227C2311yescharacteristic
287C2×#63227C2311yescharacteristic
288C2×#63227C2311yescharacteristic
289C2×#63227C2311yescharacteristic
290C2×#63227C2311yescharacteristic
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×C4⋊Dic17C2311yescharacteristic
315C2×C4⋊Dic17C2311yescharacteristic
316C2×C4⋊Dic17C2311yescharacteristic
317C2×C4⋊Dic17C2311yescharacteristic
318C2×C4⋊Dic17C2311yescharacteristic
319#10587610—24no—
320C2×#63225—42no—
321C2×#63225C2311yescharacteristic
322C2×#63225C2311yescharacteristic
323C2×#63225C2311yescharacteristic
324C2×#63225C2311yescharacteristic
325C2×#63225C2311yescharacteristic
326C2×#63225C2311yescharacteristic
327C2×#63225C2311yescharacteristic
328C2×#63225C2311yescharacteristic
329C2×#63225C2311yescharacteristic
330C2×#63225C2311yescharacteristic
331C2×#63225C2311yescharacteristic
332C2×#63225C2311yescharacteristic
333C2×#63225C2311yescharacteristic
334C2×#63225C2311yescharacteristic
335C2×#63225C2311yescharacteristic
336C2×#63225C2311yescharacteristic
337C2×C4×Dic17—42no—
338C2×C4×Dic17C2311yescharacteristic
339C2×C4×Dic17C2311yescharacteristic
340C2×C4×Dic17C2311yescharacteristic
341C2×C4×Dic17C2311yescharacteristic
342C2×C4×Dic17C2311yescharacteristic
343C2×C4×Dic17C2311yescharacteristic
344C2×C4×Dic17C2311yescharacteristic
345C2×C4×Dic17C2311yescharacteristic
346C2×C4×Dic17C2311yescharacteristic
347C2×C4×Dic17C2311yescharacteristic
348C2×C4×Dic17C2311yescharacteristic
349C2×C4×Dic17C2311yescharacteristic
350#10587584—24no—
351#10587581—42no—
352#10587580—24no—
353#10587574—42no—
354#10587571—24no—
355#10587571—24no—
356#10587571—24no—
357#10587571—42no—
358#10587571—42no—
359#10587570—24no—
360#10587570—24no—
361#10587570—24no—
362#10587570—42no—
363#10587570—42no—
364#10587570—42no—
365#10587569—24no—
366#10587569—24no—
367#10587568—24no—
368#10587568—24no—
369#10587567—24no—
370#10587567—24no—
371#10587565—24no—
372#10587565—24no—
373#10587564—24no—
374#10587562—24no—
375#10587561—24no—
376C42×D17—42no—
377C17×#95C2311yescharacteristic
378C17×#95C2311yescharacteristic
379C17×#95C2311yescharacteristic
380C17×#95C2311yescharacteristic
381C17×#95C2311yescharacteristic
382C17×#95C2311yescharacteristic
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×C17C2411yescharacteristic
405C24×C17C2411yescharacteristic
406C24×C17C2411yescharacteristic
407C24×C17C2411yescharacteristic
408C23×D17—22no—
409C23×D17—22no—
410C23×D17—22no—
411C23×D17—41no—
412C23×D17—41no—
413C23×D17—41no—
414C23×D17—41no—
415C23×D17C2411yescharacteristic
416C23×D17C2411yescharacteristic
417C23×D17C2411yescharacteristic
418C23×D17C2411yescharacteristic
419C2×D4×C17—22no—
420C2×D4×C17—22no—
421C2×D4×C17—22no—
422C2×D4×C17—22no—
423C2×D4×C17—22no—
424C2×D4×C17—41no—
425C2×D4×C17—41no—
426C2×D4×C17—41no—
427C2×D4×C17—41no—
428C22×C4×C17—22no—
429C22×C4×C17—22no—
430C22×C4×C17—41no—
431C22×C4×C17—41no—
432C22×C4×C17—41no—
433C22×C4×C17—41no—
434C22×C4×C17—41no—
435C22×C4×C17—41no—
436C22×C4×C17C2×D414yes—
437C22×C4×C17C2411yescharacteristic
438C22×C4×C17C2411yescharacteristic
439C22×C4×C17C2411yescharacteristic
440C22×C4×C17C2411yescharacteristic
441C22×C4×C17C2411yescharacteristic
442C22×C4×C17C2411yescharacteristic
443C22×C4×C17C2411yescharacteristic
444C22×C4×C17C2411yescharacteristic
445C22×C4×C17C2411yescharacteristic
446C22×C4×C17C2411yescharacteristic
447C22×C4×C17C2411yescharacteristic
448C2×C22⋊D17—22no—
449C2×C22⋊D17—22no—
450C2×C22⋊D17—22no—
451C2×C22⋊D17—22no—
452C2×C22⋊D17—22no—
453C2×C22⋊D17—22no—
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—22no—
471C2×C22⋊D17—41no—
472C2×C22⋊D17—41no—
473C2×C22⋊D17—41no—
474C2×C22⋊D17—41no—
475C2×C22⋊D17—416no—
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—41no—
488C2×C22⋊D17—41no—
489C2×C22⋊D17—41no—
490C2×C22⋊D17C2×D414yes—
491C22×Dic17—22no—
492C22×Dic17—22no—
493C22×Dic17—22no—
494C22×Dic17—22no—
495C22×Dic17—22no—
496C22×Dic17—41no—
497C22×Dic17—41no—
498C22×Dic17—41no—
499C22×Dic17#4114yes—
500C22×Dic17C2411yescharacteristic
501C22×Dic17C2411yescharacteristic
502C22×Dic17C2411yescharacteristic
503C22×Dic17C2411yescharacteristic
504C22×Dic17C2411yescharacteristic
505C22×Dic17C2411yescharacteristic
506C22×Dic17C2411yescharacteristic
507C22×Dic17C2411yescharacteristic
508C22×Dic17C2411yescharacteristic
509C22×Dic17C2411yescharacteristic
510C22×Dic17C2411yescharacteristic
511C22×Dic17C2411yescharacteristic
512C2×D68—22no—
513C2×D68—22no—
514C2×D68—22no—
515C2×D68—22no—
516C2×D68—22no—
517C2×D68—41no—
518C2×D68—41no—
519C2×D68—41no—
520C2×D68—41no—
521C2×D68—41no—
522C2×D68—41no—
523C2×D68—41no—
524C2×D68—41no—
525C2×D68—41no—
526C2×D68—41no—
527C2×C4×D17—22no—
528C2×C4×D17—22no—
529C2×C4×D17—22no—
530C2×C4×D17—22no—
531C2×C4×D17—22no—
532C2×C4×D17—22no—
533C2×C4×D17—41no—
534C2×C4×D17—41no—
535C2×C4×D17—41no—
536C2×C4×D17—41no—
537C2×C4×D17—41no—
538C2×C4×D17C2×D414yescomplemented
539C2×Dic34—22no—
540C2×Dic34—22no—
541C2×Dic34—41no—
542C2×Dic34—41no—
543C2×Dic34—41no—
544C2×Dic34—41no—
545C4⋊C4×C17—22no—
546C4⋊C4×C17—41no—
547C4⋊C4×C17—41no—
548C22⋊C4×C17—22no—
549C22⋊C4×C17—22no—
550C22⋊C4×C17—22no—
551C22⋊C4×C17—22no—
552C22⋊C4×C17—22no—
553C22⋊C4×C17—22no—
554C22⋊C4×C17—22no—
555C22⋊C4×C17—22no—
556C22⋊C4×C17—22no—
557C22⋊C4×C17—41no—
558C22⋊C4×C17—41no—
559C22⋊C4×C17—41no—
560C22⋊C4×C17—41no—
561C22⋊C4×C17—41no—
562C22⋊C4×C17—41no—
563C22⋊C4×C17#4114yes—
564C42×C17—22no—
565C42×C17—41no—
566C42×C17—41no—
567C22⋊Dic17—22no—
568C22⋊Dic17—22no—
569C22⋊Dic17—22no—
570C22⋊Dic17—22no—
571C22⋊Dic17—22no—
572C22⋊Dic17—22no—
573C22⋊Dic17—22no—
574C22⋊Dic17—22no—
575C22⋊Dic17—22no—
576C22⋊Dic17—22no—
577C22⋊Dic17—41no—
578C22⋊Dic17—41no—
579C22⋊Dic17—41no—
580C22⋊Dic17C2×D414yes—
581#63227—22no—
582#63227—22no—
583#63227—22no—
584#63227—22no—
585#63227—22no—
586#63227—22no—
587#63227—22no—
588#63227—22no—
589#63227—22no—
590#63227—22no—
591#63227—22no—
592#63227—22no—
593#63227—22no—
594#63227—22no—
595#63227—22no—
596#63227—22no—
597#63227—22no—
598#63227—22no—
599#63227—22no—
600#63227—22no—
601#63227—41no—
602#63227—41no—
603#63227—41no—
604#63227—41no—
605#63227—41no—
606#63227—41no—
607#63227—41no—
608#63227—41no—
609#63227—41no—
610#63227C2×D414yescomplemented
611C4⋊Dic17—22no—
612C4⋊Dic17—22no—
613C4⋊Dic17—22no—
614C4⋊Dic17—41no—
615C4⋊Dic17—41no—
616#63225—22no—
617#63225—22no—
618#63225—22no—
619#63225—22no—
620#63225—22no—
621#63225—22no—
622#63225—22no—
623#63225—22no—
624#63225—22no—
625#63225—22no—
626#63225—22no—
627#63225—22no—
628#63225—22no—
629#63225—41no—
630#63225—41no—
631#63225C2×D414yescomplemented
632C4×Dic17—22no—
633C4×Dic17—22no—
634C4×Dic17—22no—
635C4×Dic17—22no—
636C4×Dic17—22no—
637C4×Dic17—22no—
638C4×Dic17—22no—
639C4×Dic17—22no—
640C4×Dic17—41no—
641C4×Dic17—41no—
642C4×Dic17—41no—
643C4×Dic17C2×D414yescomplemented
644#35007—171nomaximal, Sylow
645C23×C17—21no—
646C23×C17—21no—
647C23×C17—21no—
648C23×C17—21no—
649C23×C17—21no—
650C23×C17—21no—
651C23×C17—21no—
652C23×C17—21no—
653C23×C17—21no—
654C23×C17—21no—
655C23×C17—21no—
656C23×C17—21no—
657C23×C17—21no—
658C23×C17—21no—
659C23×C17—21no—
660C23×C17—21no—
661C23×C17—21no—
662C23×C17—21no—
663C23×C17—21no—
664C23×C17—21no—
665C23×C17—21no—
666C23×C17—21no—
667C23×C17—21no—
668C23×C17—21no—
669C23×C17—21no—
670C23×C17—44no—
671C23×C17—44no—
672C23×C17—44no—
673C23×C17—82no—
674C23×C17—82no—
675C23×C17—82no—
676C23×C17—82no—
677C23×C17C22×D412yes—
678C23×C17C2×#4112yes—
679C23×C17C2×#4112yes—
680C23×C17C2511yescharacteristic
681C22×D17—21no—
682C22×D17—21no—
683C22×D17—21no—
684C22×D17—21no—
685C22×D17—21no—
686C22×D17—21no—
687C22×D17—21no—
688C22×D17—21no—
689C22×D17—21no—
690C22×D17—21no—
691C22×D17—21no—
692C22×D17—21no—
693C22×D17—21no—
694C22×D17—21no—
695C22×D17—21no—
696C22×D17—21no—
697C22×D17—21no—
698C22×D17—21no—
699C22×D17—21no—
700C22×D17—21no—
701C22×D17—21no—
702C22×D17—21no—
703C22×D17—21no—
704C22×D17—21no—
705C22×D17—21no—
706C22×D17—21no—
707C22×D17—21no—
708C22×D17—44no—
709C22×D17—44no—
710C22×D17—44no—
711C22×D17—82no—
712C22×D17—82no—
713C22×D17—82no—
714C22×D17—82no—
715C22×D17C22×D412yes—
716D4×C17—44no—
717D4×C17—82no—
718D4×C17—82no—
719C2×C4×C17—21no—
720C2×C4×C17—21no—
721C2×C4×C17—21no—
722C2×C4×C17—21no—
723C2×C4×C17—21no—
724C2×C4×C17—21no—
725C2×C4×C17—21no—
726C2×C4×C17—21no—
727C2×C4×C17—21no—
728C2×C4×C17—21no—
729C2×C4×C17—21no—
730C2×C4×C17—21no—
731C2×C4×C17—21no—
732C2×C4×C17—21no—
733C2×C4×C17—21no—
734C2×C4×C17—21no—
735C2×C4×C17—21no—
736C2×C4×C17—21no—
737C2×C4×C17—21no—
738C2×C4×C17—21no—
739C2×C4×C17—21no—
740C2×C4×C17—21no—
741C2×C4×C17—21no—
742C2×C4×C17—21no—
743C2×C4×C17—21no—
744C2×C4×C17—21no—
745C2×C4×C17—21no—
746C2×C4×C17—21no—
747C2×C4×C17—21no—
748C2×C4×C17—44no—
749C2×C4×C17—82no—
750C2×C4×C17—82no—
751C2×C4×C17C22×D412yes—
752C2×C4×C17C22×D412yes—
753C2×C4×C17C2×#4112yes—
754C2×C4×C17C2×#4112yes—
755C22⋊D17—28no—
756C22⋊D17—44no—
757C22⋊D17—44no—
758C22⋊D17—44no—
759C22⋊D17—44no—
760C22⋊D17—44no—
761C22⋊D17—44no—
762C22⋊D17—82no—
763C22⋊D17—82no—
764C22⋊D17—82no—
765C22⋊D17—82no—
766C22⋊D17—82no—
767C22⋊D17—82no—
768C22⋊D17—82no—
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—28no—
780C2×Dic17—21no—
781C2×Dic17—21no—
782C2×Dic17—21no—
783C2×Dic17—21no—
784C2×Dic17—21no—
785C2×Dic17—21no—
786C2×Dic17—21no—
787C2×Dic17—21no—
788C2×Dic17—21no—
789C2×Dic17—21no—
790C2×Dic17—21no—
791C2×Dic17—21no—
792C2×Dic17—21no—
793C2×Dic17—21no—
794C2×Dic17—21no—
795C2×Dic17—21no—
796C2×Dic17—21no—
797C2×Dic17—21no—
798C2×Dic17—44no—
799C2×Dic17—82no—
800C2×Dic17C22×D412yes—
801C2×Dic17C22×D412yes—
802C2×Dic17C22×D412yes—
803C2×Dic17C2×#4112yes—
804C2×Dic17C2×#4112yes—
805C2×Dic17H(5,𝔽2)12yes—
806C2×Dic17H(5,𝔽2)12yes—
807C2×Dic17H(5,𝔽2)12yes—
808D68—82no—
809D68—82no—
810D68—82no—
811D68—82no—
812D68—82no—
813C4×D17—44no—
814C4×D17—44no—
815C4×D17—44no—
816C4×D17—82no—
817Dic34—82no—
818Dic34—82no—
819C2×#538—171no—
820C2×#538—171no—
821#2860—171no—
822#2858—171no—
823#2856—171no—
824#2854—171no—
825#2662—171no—
826#2662—171no—
827#2661—171no—
828#2661—171no—
829#2555—171no—
830#2555—171no—
831#2554—171no—
832#2554—171no—
833#2512—171no—
834#2491—171no—
835#2472—171no—
836#2472—171no—
837#2445—171no—
838#2440—171no—
839#2433—171no—
840#2428—171no—
841#2424—171no—
842#2424—171no—
843#2416—171no—
844#2408—171no—
845#2321—171no—
846#2321D1711yescharacteristic, complemented
847C4×#121—171no—
848C2×#390—171no—
849C42×D4—171no—
850C22×C17—22no—
851C22×C17—22no—
852C22×C17—22no—
853C22×C17—22no—
854C22×C17—22no—
855C22×C17—22no—
856C22×C17—41no—
857C22×C17—41no—
858C22×C17—41no—
859C22×C17—41no—
860C22×C17—41no—
861C22×C17—41no—
862C22×C17—41no—
863C22×C17—41no—
864C22×C17—41no—
865C22×C17—41no—
866C22×C17—41no—
867C22×C17—41no—
868C22×C17—41no—
869C22×C17—41no—
870C22×C17—41no—
871C22×C17—41no—
872C22×C17—41no—
873C22×C17—41no—
874C22×C17—41no—
875C22×C17—41no—
876C22×C17—41no—
877C22×C17—88no—
878C22×C17#53214yes—
879C22×C17C23×D411yescharacteristic
880C22×C17C22×#4111yescharacteristic
881C22×C17C22×#4111yescharacteristic
882C22×C17C2×H(5,𝔽2)11yescharacteristic
883C22×C17C2×H(5,𝔽2)11yescharacteristic
884C22×C17C2×H(5,𝔽2)11yescharacteristic
885C22×C17#58511yescharacteristic
886C2×D17—22no—
887C2×D17—22no—
888C2×D17—22no—
889C2×D17—41no—
890C2×D17—41no—
891C2×D17—41no—
892C2×D17—41no—
893C2×D17—41no—
894C2×D17—41no—
895C2×D17—41no—
896C2×D17—41no—
897C2×D17—41no—
898C2×D17—41no—
899C2×D17—41no—
900C2×D17—41no—
901C2×D17—41no—
902C2×D17—41no—
903C2×D17—41no—
904C2×D17—41no—
905C2×D17—41no—
906C2×D17—41no—
907C2×D17—41no—
908C2×D17—41no—
909C2×D17—41no—
910C2×D17—41no—
911C2×D17—41no—
912C2×D17—41no—
913C2×D17—41no—
914C2×D17—88no—
915C4×C17—22no—
916C4×C17—22no—
917C4×C17—22no—
918C4×C17—22no—
919C4×C17—41no—
920C4×C17—41no—
921C4×C17—41no—
922C4×C17—41no—
923C4×C17—41no—
924C4×C17—41no—
925C4×C17—41no—
926Dic17—22no—
927Dic17—22no—
928Dic17—22no—
929Dic17—22no—
930Dic17—22no—
931Dic17—41no—
932Dic17—41no—
933Dic17—41no—
934Dic17—41no—
935Dic17—41no—
936Dic17—41no—
937Dic17#53814yescomplemented
938C23×D4—171no—
939#538—348no—
940#538—348no—
941C2×C4⋊Q8—171no—
942C2×#127—171no—
943C2×#127—171no—
944C2×#126—171no—
945C2×#126—171no—
946C2×#126—171no—
947C2×#126—171no—
948C2×#124—171no—
949C2×#124—171no—
950C2×#124—171no—
951C2×#124—171no—
952C2×#124—171no—
953C2×#124—171no—
954C2×#123—171no—
955C2×#123—171no—
956C2×#123—171no—
957C2×#123—171no—
958C2×C22⋊Q8—171no—
959C2×C22⋊Q8—171no—
960C2×#121—171no—
961C2×#121—171no—
962C2×#121—171no—
963C2×#121—171no—
964C2×#121—171no—
965C2×#121—171no—
966C2×#121—171no—
967C2×#121—171no—
968C2×#121—171no—
969C2×#121—171no—
970C2×#121—171no—
971C2×#121—171no—
972C2×#120—171no—
973C2×#120—171no—
974C2×#120—171no—
975C2×#120—171no—
976C2×#120—171no—
977C2×#120C2×D1711yescharacteristic
978C2×C4×D4—171no—
979C2×C4×D4—171no—
980C2×C4×D4—171no—
981C2×C4×D4—171no—
982C2×C4×D4—171no—
983C2×C4×D4C2×D1711yescharacteristic
984C22×C4⋊C4—171no—
985C22×C22⋊C4—171no—
986C22×C22⋊C4—171no—
987C22×C22⋊C4—171no—
988C22×C22⋊C4C2×D1711yescharacteristic
989C22×C42—171no—
990C22×C42—171no—
991#398—171no—
992#398—171no—
993#397—171no—
994#397—171no—
995#396—171no—
996#396—171no—
997#396—171no—
998#396—171no—
999#395—171no—
1000#395—171no—
1001#394—171no—
1002#394—171no—
1003#394—171no—
1004#394—171no—
1005#394—171no—
1006#394—171no—
1007#394—171no—
1008#394—171no—
1009#394—171no—
1010#394—171no—
1011#394—171no—
1012#394—171no—
1013#393—171no—
1014#393—171no—
1015#392—171no—
1016#392—171no—
1017#392—171no—
1018#392—171no—
1019#392—171no—
1020#392—171no—
1021#392—171no—
1022#392—171no—
1023#390—171no—
1024#390—171no—
1025#390—171no—
1026#390—171no—
1027#390—171no—
1028#390—171no—
1029#390—171no—
1030#390—171no—
1031#390—171no—
1032#390—171no—
1033#390—171no—
1034#390—171no—
1035#390—171no—
1036#390—171no—
1037#390—171no—
1038#390—171no—
1039#390—171no—
1040#390—171no—
1041#390—171no—
1042#390—171no—
1043#390C2×D1711yescharacteristic, complemented
1044#390C2×D1711yescharacteristic, complemented
1045#389—171no—
1046#389—171no—
1047#389—171no—
1048#389—171no—
1049#388—171no—
1050#388—171no—
1051#388—171no—
1052#388—171no—
1053#388—171no—
1054#388—171no—
1055#388—171no—
1056#388—171no—
1057#388—171no—
1058#388—171no—
1059#388—171no—
1060#388—171no—
1061#388C2×D1711yescharacteristic, complemented
1062#388C2×D1711yescharacteristic, complemented
1063#388C2×D1711yescharacteristic, complemented
1064#388C2×D1711yescharacteristic, complemented
1065#386—171no—
1066#386—171no—
1067#386—171no—
1068#386—171no—
1069#386—171no—
1070#386—171no—
1071#386—171no—
1072#386C2×D1711yescharacteristic
1073#386C2×D1711yescharacteristic, complemented
1074#386C2×D1711yescharacteristic, complemented
1075#385—171no—
1076#385C2×D1711yescharacteristic
1077#384—171no—
1078#380—171no—
1079#380—171no—
1080#379—171no—
1081#379C2×D1711yescharacteristic
1082C4×C4⋊C4—171no—
1083C4×C4⋊C4—171no—
1084C4×C4⋊C4—171no—
1085C4×C4⋊C4—171no—
1086C4×C22⋊C4—171no—
1087C4×C22⋊C4—171no—
1088C4×C22⋊C4—171no—
1089C4×C22⋊C4—171no—
1090C4×C22⋊C4—171no—
1091C4×C22⋊C4—171no—
1092C4×C22⋊C4—171no—
1093C4×C22⋊C4C2×D1711yescharacteristic
1094C43—171no—
1095C2×C17—24no—
1096C2×C17—81no—
1097C2×C17—81no—
1098C2×C17—81no—
1099C2×C17C2×#53211yescharacteristic
1100C2×C17C2×#53811yescharacteristic
1101C2×C17#346011yescharacteristic
1102C2×C17#349611yescharacteristic
1103C2×C17#349811yescharacteristic
1104C2×C17#351411yescharacteristic
1105C2×C17#351911yescharacteristic
1106D17—42no—
1107D17—81no—
1108D17—81no—
1109D17—81no—
1110C25—171no—
1111C25C22×D1711yescharacteristic
1112C22×Q8—171no—
1113C22×Q8—171no—
1114C22×D4—171no—
1115C22×D4—171no—
1116C22×D4—171no—
1117C22×D4—171no—
1118C22×D4—171no—
1119C22×D4—171no—
1120C22×D4—171no—
1121C22×D4—171no—
1122C22×D4—171no—
1123C22×D4—171no—
1124C22×D4—171no—
1125C22×D4—171no—
1126C22×D4—171no—
1127C22×D4—171no—
1128C22×D4—171no—
1129C22×D4—171no—
1130C22×D4—171no—
1131C22×D4—171no—
1132C22×D4—171no—
1133C22×D4—344no—
1134C22×D4—682no—
1135C22×D4—682no—
1136C22×D4C22×D1711yescharacteristic
1137C22×D4C22×D1711yescharacteristic
1138C22×D4C22×D1711yescharacteristic
1139C23×C4—171no—
1140C23×C4—171no—
1141C23×C4—171no—
1142C23×C4—171no—
1143C23×C4—171no—
1144C23×C4—171no—
1145C23×C4—171no—
1146C23×C4C22×D1711yescharacteristic
1147C23×C4C22×D1711yescharacteristic
1148C23×C4C22×D1711yescharacteristic
1149C4⋊Q8—682no—
1150#127—682no—
1151#127—682no—
1152#126—344no—
1153#126—344no—
1154#126—344no—
1155#126—344no—
1156#124—344no—
1157#124—344no—
1158#124—344no—
1159#124—344no—
1160#124—682no—
1161#124—682no—
1162#123—344no—
1163#123—344no—
1164#123—344no—
1165#123—344no—
1166C22⋊Q8—344no—
1167C22⋊Q8—344no—
1168#121—344no—
1169#121—344no—
1170#121—344no—
1171#121—344no—
1172#121—344no—
1173#121—344no—
1174#121—344no—
1175#121—682no—
1176#121—682no—
1177#121—682no—
1178#121—682no—
1179#121—682no—
1180#120—24no—
1181#120—344no—
1182#120—344no—
1183#120—344no—
1184#120—344no—
1185#120—344no—
1186C4×D4—24no—
1187C4×D4—178no—
1188C4×D4—344no—
1189C4×D4—344no—
1190C4×D4—344no—
1191C4×D4—682no—
1192C2×C4⋊C4—171no—
1193C2×C4⋊C4—171no—
1194C2×C4⋊C4—171no—
1195C2×C4⋊C4—171no—
1196C2×C4⋊C4—171no—
1197C2×C4⋊C4—171no—
1198C2×C4⋊C4—171no—
1199C2×C4⋊C4—171no—
1200C2×C4⋊C4—171no—
1201C2×C4⋊C4—171no—
1202C2×C4⋊C4—171no—
1203C2×C4⋊C4—171no—
1204C2×C4⋊C4—171no—
1205C2×C4⋊C4—171no—
1206C2×C4⋊C4—171no—
1207C2×C4⋊C4—171no—
1208C2×C4⋊C4—171no—
1209C2×C4⋊C4—171no—
1210C2×C4⋊C4—171no—
1211C2×C4⋊C4—171no—
1212C2×C4⋊C4—171no—
1213C2×C4⋊C4—682no—
1214C2×C4⋊C4C22×D1711yescharacteristic
1215C2×C4⋊C4C22×D1711yescharacteristic
1216C2×C4⋊C4C22×D1711yescharacteristic
1217C2×C22⋊C4—24no—
1218C2×C22⋊C4—171no—
1219C2×C22⋊C4—171no—
1220C2×C22⋊C4—171no—
1221C2×C22⋊C4—171no—
1222C2×C22⋊C4—171no—
1223C2×C22⋊C4—171no—
1224C2×C22⋊C4—171no—
1225C2×C22⋊C4—171no—
1226C2×C22⋊C4—171no—
1227C2×C22⋊C4—171no—
1228C2×C22⋊C4—171no—
1229C2×C22⋊C4—171no—
1230C2×C22⋊C4—171no—
1231C2×C22⋊C4—171no—
1232C2×C22⋊C4—171no—
1233C2×C22⋊C4—171no—
1234C2×C22⋊C4—171no—
1235C2×C22⋊C4—171no—
1236C2×C22⋊C4—171no—
1237C2×C22⋊C4—171no—
1238C2×C22⋊C4—171no—
1239C2×C22⋊C4—171no—
1240C2×C22⋊C4—171no—
1241C2×C22⋊C4—171no—
1242C2×C22⋊C4—171no—
1243C2×C22⋊C4—171no—
1244C2×C22⋊C4—171no—
1245C2×C22⋊C4—171no—
1246C2×C22⋊C4—171no—
1247C2×C22⋊C4—171no—
1248C2×C22⋊C4—171no—
1249C2×C22⋊C4—171no—
1250C2×C22⋊C4—171no—
1251C2×C22⋊C4—171no—
1252C2×C22⋊C4—171no—
1253C2×C22⋊C4—171no—
1254C2×C22⋊C4—171no—
1255C2×C22⋊C4—171no—
1256C2×C22⋊C4—171no—
1257C2×C22⋊C4—171no—
1258C2×C22⋊C4—171no—
1259C2×C22⋊C4—171no—
1260C2×C22⋊C4—171no—
1261C2×C22⋊C4—171no—
1262C2×C22⋊C4—344no—
1263C2×C22⋊C4—682no—
1264C2×C22⋊C4—682no—
1265C2×C22⋊C4C22×D1711yescharacteristic
1266C2×C22⋊C4C22×D1711yescharacteristic
1267C2×C22⋊C4C22×D1711yescharacteristic
1268C2×C22⋊C4C22×D1711yescharacteristic
1269C2×C22⋊C4C22×D1711yescharacteristic
1270C2×C22⋊C4C22×D1711yescharacteristic
1271C2×C22⋊C4C22×D1711yescharacteristic
1272C2×C22⋊C4C22×D1711yescharacteristic
1273C2×C22⋊C4C22×D1711yescharacteristic
1274C2×C22⋊C4C22×D1711yescharacteristic
1275C2×C22⋊C4C22×D1711yescharacteristic
1276C2×C22⋊C4C22×D1711yescharacteristic
1277C2×C22⋊C4C22×D1711yescharacteristic
1278C2×C22⋊C4C22×D1711yescharacteristic
1279C2×C22⋊C4C22×D1711yescharacteristic
1280C2×C22⋊C4C22×D1711yescharacteristic
1281C2×C42—171no—
1282C2×C42—171no—
1283C2×C42—171no—
1284C2×C42—171no—
1285C2×C42—171no—
1286C2×C42—171no—
1287C2×C42—171no—
1288C2×C42—171no—
1289C2×C42—171no—
1290C2×C42—171no—
1291C2×C42—171no—
1292C2×C42—171no—
1293C2×C42—682no—
1294C2×C42—682no—
1295C2×C42C22×D1711yescharacteristic
1296C2×C42C22×D1711yescharacteristic
1297C2×C42C22×D1711yescharacteristic
1298#95—171no—
1299#95—171no—
1300#95—171no—
1301#95—171no—
1302#95—171no—
1303#95—171no—
1304#95—171no—
1305#95—171no—
1306#95—171no—
1307#95—171no—
1308#95—171no—
1309#95—171no—
1310#95—171no—
1311#95—171no—
1312#95C22×D1711yescharacteristic
1313#95C22×D1711yescharacteristic
1314#95C22×D1711yescharacteristic
1315#95C22×D1711yescharacteristic
1316#95C22×D1711yescharacteristic
1317#95C22×D1711yescharacteristic
1318C17#3500711yescharacteristic, complemented, Sylow
1319C24—22no—
1320C24—22no—
1321C24—22no—
1322C24—41no—
1323C24—41no—
1324C24—41no—
1325C24—41no—
1326C24—171no—
1327C24—171no—
1328C24—171no—
1329C24—171no—
1330C24—342no—
1331C24—342no—
1332C24—342no—
1333C24—681no—
1334C24—681no—
1335C24—681no—
1336C24—681no—
1337C24C23×D1711yescharacteristic
1338C24C23×D1711yescharacteristic
1339C24C23×D1711yescharacteristic
1340C24C23×D1711yescharacteristic
1341C2×Q8—342no—
1342C2×Q8—342no—
1343C2×Q8—681no—
1344C2×Q8—681no—
1345C2×Q8—681no—
1346C2×Q8—681no—
1347C2×D4—22no—
1348C2×D4—22no—
1349C2×D4—22no—
1350C2×D4—22no—
1351C2×D4—22no—
1352C2×D4—41no—
1353C2×D4—41no—
1354C2×D4—41no—
1355C2×D4—41no—
1356C2×D4—174no—
1357C2×D4—342no—
1358C2×D4—342no—
1359C2×D4—342no—
1360C2×D4—342no—
1361C2×D4—342no—
1362C2×D4—342no—
1363C2×D4—342no—
1364C2×D4—342no—
1365C2×D4—342no—
1366C2×D4—342no—
1367C2×D4—342no—
1368C2×D4—342no—
1369C2×D4—342no—
1370C2×D4—342no—
1371C2×D4—342no—
1372C2×D4—342no—
1373C2×D4—342no—
1374C2×D4—342no—
1375C2×D4—342no—
1376C2×D4—342no—
1377C2×D4—342no—
1378C2×D4—342no—
1379C2×D4—342no—
1380C2×D4—342no—
1381C2×D4—342no—
1382C2×D4—342no—
1383C2×D4—342no—
1384C2×D4—342no—
1385C2×D4—681no—
1386C2×D4—681no—
1387C2×D4—681no—
1388C2×D4—681no—
1389C2×D4—681no—
1390C2×D4—681no—
1391C2×D4—681no—
1392C2×D4—681no—
1393C2×D4—681no—
1394C2×D4—681no—
1395C2×D4—681no—
1396C2×D4—681no—
1397C2×D4—681no—
1398C2×D4—681no—
1399C2×D4—6816no—
1400C2×D4—681no—
1401C2×D4—681no—
1402C2×D4—681no—
1403C2×D4—681no—
1404C2×D4—681no—
1405C2×D4—681no—
1406C2×D4—681no—
1407C2×D4—681no—
1408C2×D4—681no—
1409C2×D4—681no—
1410C2×D4—681no—
1411C2×D4—681no—
1412C2×D4—681no—
1413C2×D4—681no—
1414C22×C4—22no—
1415C22×C4—22no—
1416C22×C4—41no—
1417C22×C4—41no—
1418C22×C4—41no—
1419C22×C4—41no—
1420C22×C4—41no—
1421C22×C4—41no—
1422C22×C4—171no—
1423C22×C4—174no—
1424C22×C4—171no—
1425C22×C4—171no—
1426C22×C4—171no—
1427C22×C4—171no—
1428C22×C4—171no—
1429C22×C4—174no—
1430C22×C4—171no—
1431C22×C4—171no—
1432C22×C4—171no—
1433C22×C4—171no—
1434C22×C4—171no—
1435C22×C4—171no—
1436C22×C4—342no—
1437C22×C4—342no—
1438C22×C4—342no—
1439C22×C4—342no—
1440C22×C4—342no—
1441C22×C4—342no—
1442C22×C4—342no—
1443C22×C4—342no—
1444C22×C4—342no—
1445C22×C4—342no—
1446C22×C4—342no—
1447C22×C4—681no—
1448C22×C4—681no—
1449C22×C4—681no—
1450C22×C4—681no—
1451C22×C4—681no—
1452C22×C4—681no—
1453C22×C4—681no—
1454C22×C4—681no—
1455C22×C4D4×D1714yes—
1456C22×C4C23×D1711yescharacteristic
1457C22×C4C23×D1711yescharacteristic
1458C22×C4C23×D1711yescharacteristic
1459C22×C4C23×D1711yescharacteristic
1460C22×C4C23×D1711yescharacteristic
1461C22×C4C23×D1711yescharacteristic
1462C22×C4C23×D1711yescharacteristic
1463C22×C4C23×D1711yescharacteristic
1464C22×C4C23×D1711yescharacteristic
1465C22×C4C23×D1711yescharacteristic
1466C22×C4C23×D1711yescharacteristic
1467C4⋊C4—22no—
1468C4⋊C4—41no—
1469C4⋊C4—41no—
1470C4⋊C4—174no—
1471C4⋊C4—342no—
1472C4⋊C4—342no—
1473C4⋊C4—342no—
1474C4⋊C4—342no—
1475C4⋊C4—342no—
1476C4⋊C4—342no—
1477C4⋊C4—342no—
1478C4⋊C4—342no—
1479C4⋊C4—342no—
1480C4⋊C4—342no—
1481C4⋊C4—342no—
1482C4⋊C4—342no—
1483C4⋊C4—342no—
1484C4⋊C4—342no—
1485C4⋊C4—342no—
1486C4⋊C4—342no—
1487C4⋊C4—681no—
1488C4⋊C4—681no—
1489C4⋊C4—681no—
1490C4⋊C4—681no—
1491C22⋊C4—22no—
1492C22⋊C4—22no—
1493C22⋊C4—22no—
1494C22⋊C4—22no—
1495C22⋊C4—22no—
1496C22⋊C4—22no—
1497C22⋊C4—22no—
1498C22⋊C4—22no—
1499C22⋊C4—22no—
1500C22⋊C4—41no—
1501C22⋊C4—41no—
1502C22⋊C4—41no—
1503C22⋊C4—41no—
1504C22⋊C4—41no—
1505C22⋊C4—41no—
1506C22⋊C4—174no—
1507C22⋊C4—174no—
1508C22⋊C4—342no—
1509C22⋊C4—342no—
1510C22⋊C4—342no—
1511C22⋊C4—342no—
1512C22⋊C4—342no—
1513C22⋊C4—342no—
1514C22⋊C4—342no—
1515C22⋊C4—342no—
1516C22⋊C4—342no—
1517C22⋊C4—342no—
1518C22⋊C4—342no—
1519C22⋊C4—342no—
1520C22⋊C4—342no—
1521C22⋊C4—342no—
1522C22⋊C4—342no—
1523C22⋊C4—342no—
1524C22⋊C4—342no—
1525C22⋊C4—342no—
1526C22⋊C4—342no—
1527C22⋊C4—342no—
1528C22⋊C4—342no—
1529C22⋊C4—342no—
1530C22⋊C4—342no—
1531C22⋊C4—342no—
1532C22⋊C4—342no—
1533C22⋊C4—342no—
1534C22⋊C4—342no—
1535C22⋊C4—342no—
1536C22⋊C4—342no—
1537C22⋊C4—342no—
1538C22⋊C4—681no—
1539C22⋊C4—681no—
1540C22⋊C4—681no—
1541C22⋊C4—681no—
1542C22⋊C4—681no—
1543C22⋊C4—681no—
1544C22⋊C4—681no—
1545C22⋊C4—681no—
1546C22⋊C4—681no—
1547C22⋊C4—681no—
1548C22⋊C4—681no—
1549C22⋊C4—681no—
1550C22⋊C4#6325214yes—
1551C42—22no—
1552C42—41no—
1553C42—41no—
1554C42—174no—
1555C42—342no—
1556C42—342no—
1557C42—342no—
1558C42—342no—
1559C42—342no—
1560C42—342no—
1561C42—342no—
1562C42—342no—
1563C42—681no—
1564C42—681no—
1565C42—681no—
1566C23—21no—
1567C23—21no—
1568C23—21no—
1569C23—21no—
1570C23—21no—
1571C23—21no—
1572C23—21no—
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—21no—
1577C23—21no—
1578C23—21no—
1579C23—21no—
1580C23—21no—
1581C23—21no—
1582C23—21no—
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—21no—
1587C23—21no—
1588C23—21no—
1589C23—21no—
1590C23—21no—
1591C23—44no—
1592C23—44no—
1593C23—44no—
1594C23—82no—
1595C23—82no—
1596C23—82no—
1597C23—82no—
1598C23—172no—
1599C23—341no—
1600C23—341no—
1601C23—341no—
1602C23—341no—
1603C23—341no—
1604C23—341no—
1605C23—341no—
1606C23—341no—
1607C23—341no—
1608C23—341no—
1609C23—341no—
1610C23—341no—
1611C23—341no—
1612C23—341no—
1613C23—341no—
1614C23—341no—
1615C23—341no—
1616C23—341no—
1617C23—341no—
1618C23—341no—
1619C23—341no—
1620C23—341no—
1621C23—341no—
1622C23—341no—
1623C23—341no—
1624C23—341no—
1625C23—341no—
1626C23—684no—
1627C23—684no—
1628C23—684no—
1629C23—1362no—
1630C23—1362no—
1631C23—1362no—
1632C23—1362no—
1633C23C2×#6325212yes—
1634C23C2×D4×D1712yes—
1635C23#41×D1712yes—
1636C23C24×D1711yescharacteristic
1637Q8—1362no—
1638Q8—1362no—
1639D4—44no—
1640D4—82no—
1641D4—82no—
1642D4—348no—
1643D4—684no—
1644D4—684no—
1645D4—684no—
1646D4—684no—
1647D4—684no—
1648D4—684no—
1649D4—1362no—
1650D4—1362no—
1651D4—1362no—
1652D4—1362no—
1653D4—1362no—
1654D4—1362no—
1655D4—1362no—
1656D4—1362no—
1657D4—1362no—
1658D4—1362no—
1659D4—1362no—
1660D4—1362no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—44no—
1691C2×C4—82no—
1692C2×C4—82no—
1693C2×C4—172no—
1694C2×C4—172no—
1695C2×C4—172no—
1696C2×C4—172no—
1697C2×C4—172no—
1698C2×C4—172no—
1699C2×C4—172no—
1700C2×C4—172no—
1701C2×C4—348no—
1702C2×C4—341no—
1703C2×C4—341no—
1704C2×C4—341no—
1705C2×C4—341no—
1706C2×C4—341no—
1707C2×C4—341no—
1708C2×C4—341no—
1709C2×C4—341no—
1710C2×C4—341no—
1711C2×C4—341no—
1712C2×C4—341no—
1713C2×C4—341no—
1714C2×C4—341no—
1715C2×C4—341no—
1716C2×C4—341no—
1717C2×C4—341no—
1718C2×C4—341no—
1719C2×C4—341no—
1720C2×C4—341no—
1721C2×C4—341no—
1722C2×C4—341no—
1723C2×C4—341no—
1724C2×C4—341no—
1725C2×C4—341no—
1726C2×C4—341no—
1727C2×C4—341no—
1728C2×C4—341no—
1729C2×C4—341no—
1730C2×C4—684no—
1731C2×C4—684no—
1732C2×C4—684no—
1733C2×C4—684no—
1734C2×C4—1362no—
1735C2×C4—1362no—
1736C2×C4C2×#6325212yes—
1737C2×C4C2×#6325212yes—
1738C2×C4C2×D4×D1712yes—
1739C2×C4C2×D4×D1712yes—
1740C22—22no—
1741C22—22no—
1742C22—22no—
1743C22—22no—
1744C22—22no—
1745C22—22no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—41no—
1751C22—41no—
1752C22—41no—
1753C22—41no—
1754C22—41no—
1755C22—41no—
1756C22—41no—
1757C22—41no—
1758C22—41no—
1759C22—41no—
1760C22—41no—
1761C22—41no—
1762C22—41no—
1763C22—41no—
1764C22—41no—
1765C22—41no—
1766C22—41no—
1767C22—88no—
1768C22—342no—
1769C22—342no—
1770C22—342no—
1771C22—681no—
1772C22—681no—
1773C22—681no—
1774C22—681no—
1775C22—681no—
1776C22—681no—
1777C22—681no—
1778C22—681no—
1779C22—681no—
1780C22—681no—
1781C22—681no—
1782C22—681no—
1783C22—681no—
1784C22—681no—
1785C22—681no—
1786C22—681no—
1787C22—681no—
1788C22—681no—
1789C22—681no—
1790C22—681no—
1791C22—681no—
1792C22—681no—
1793C22—681no—
1794C22—681no—
1795C22—681no—
1796C22—1368no—
1797C22#1176335614yes—
1798C22C22×D4×D1711yescharacteristic
1799C22C2×#41×D1711yescharacteristic
1800C22C22×#6325211yescharacteristic
1801C22H(5,𝔽2)×D1711yescharacteristic
1802C22H(5,𝔽2)×D1711yescharacteristic
1803C22H(5,𝔽2)×D1711yescharacteristic
1804C22#1176364411yescharacteristic
1805C4—22no—
1806C4—22no—
1807C4—22no—
1808C4—22no—
1809C4—41no—
1810C4—41no—
1811C4—41no—
1812C4—41no—
1813C4—41no—
1814C4—41no—
1815C4—41no—
1816C4—174no—
1817C4—342no—
1818C4—342no—
1819C4—342no—
1820C4—342no—
1821C4—342no—
1822C4—681no—
1823C4—681no—
1824C4—681no—
1825C4—681no—
1826C4—681no—
1827C4—681no—
1828C2—24no—
1829C2—81no—
1830C2—81no—
1831C2—81no—
1832C2—682no—
1833C2—1361no—
1834C2—1361no—
1835C2—1361no—
1836C2C2×#1176335611yescharacteristic
1837C2D17×#53811yescharacteristic
1838C2#1454220311yescharacteristic
1839C2#1454254511yescharacteristic
1840C2#1454255911yescharacteristic
1841C2#1454273511yescharacteristic
1842C2#1454280611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D17
commutator, socle, cosocleC23×C17C25
FittingC17×#2321C2
hypercenter#2321D17
hypocenterC17#35007
LCSG ▷ C23×C17 ▷ C17
UCSC1 ◁ C23 ◁ #2321

Complements

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

NH ≅ G/Ntype
1. C2×#11763397C2semidirect
2. C2×#11763392C2semidirect
3. #14537150C2semidirect
4. #14537138C2semidirect
5. #14537128C2semidirect
6. #14537111C2semidirect
7. #14534927C2semidirect
8. #14534925C2semidirect
9. #14534916C2semidirect
10. #14534914C2semidirect
11. #14533860C2semidirect
12. #14533856C2semidirect
13. #14533850C2semidirect
14. #14533848C2semidirect
15. #14533367C2semidirect
16. #14533146C2semidirect
17. #14532915C2semidirect
18. #14532907C2semidirect
19. #14532546C2semidirect
20. #14532485C2semidirect
21. #14532419C2semidirect
22. #14532371C2semidirect
23. #14532318C2semidirect
24. #14532316C2semidirect
25. #14532223C2semidirect
26. #14532139C2semidirect
27. #14531444C2semidirect
28. C4×#10587625C2semidirect
29. C2×#11762709C2semidirect
30. C4×#10587567C2semidirect
31. C17×#2321C2semidirect
35. C2×#10587574C22semidirect
38. C2×#10587584C22semidirect
39. C2×#10587562C22semidirect
40. C2×#10587565C22semidirect
41. C2×#10587565C22semidirect
42. C2×#10587561C22semidirect
43. C2×#10587571C22semidirect
44. C2×#10587571C22semidirect
45. C2×#10587571C22semidirect
46. C2×#10587571C22semidirect
47. C2×#10587571C22semidirect
48. C2×#10587580C22semidirect
49. C2×#10587615C22semidirect
50. C2×#10587569C22semidirect
51. C2×#10587569C22semidirect
54. C2×#10587581C22semidirect
56. C2×#10587616C22semidirect
59. C2×#10587570C22semidirect
60. C2×#10587570C22semidirect
61. C2×#10587570C22semidirect
62. C2×#10587570C22semidirect
65. C2×#10587624C22semidirect
73. C2×C4×C22⋊D17C22semidirect
81. C2×C42×D17C22semidirect
82. #11762743C22semidirect
83. #11762742C22semidirect
84. #11762738C22semidirect
85. #11762737C22semidirect
86. #11762733C22semidirect
87. #11762732C22semidirect
88. #11762732C22semidirect
89. #11762731C22semidirect
90. #11762730C22semidirect
91. #11762729C22semidirect
92. #11762727C22semidirect
93. #11762727C22semidirect
94. #11762726C22semidirect
95. #11762725C22semidirect
96. #11762725C22semidirect
97. #11762725C22semidirect
100. #11762724C22semidirect
101. #11762724C22semidirect
102. #11762724C22semidirect
103. #11762723C22semidirect
104. #11762722C22semidirect
105. #11762721C22semidirect
106. #11762719C22semidirect
113. #11762717C22semidirect
114. #11762712C22semidirect
115. #11762711C22semidirect
116. #11762711C22semidirect
117. #11762710C22semidirect
130. #11762709C22semidirect
131. #11762709C22semidirect
132. #11762709C22semidirect
133. #11762709C22semidirect
134. #11762706C22semidirect
135. #11762706C22semidirect
136. #11762706C22semidirect
137. #11762704C22semidirect
138. #11762703C22semidirect
139. #11762702C22semidirect
140. #11762701C22semidirect
141. #11762701C22semidirect
142. #11762701C22semidirect
143. #11762701C22semidirect
144. #11762700C22semidirect
145. #11762700C22semidirect
146. #11762699C22semidirect
147. #11762698C22semidirect
148. #11762697C22semidirect
149. #11762697C22semidirect
151. #11762687C22semidirect
152. #11762687C22semidirect
153. #11762687C22semidirect
156. #11762685C22semidirect
158. #11762678C22semidirect
159. #11762668C22semidirect
162. C4×#63225C22semidirect
163. C4×#63225C22semidirect
164. #11762660C22semidirect
165. #11762660C22semidirect
168. C4×#63227C22semidirect
169. C4×#63227C22semidirect
170. C4×C22⋊Dic17C22semidirect
171. #11762656C22semidirect
172. #11762656C22semidirect
173. C42×Dic17C22semidirect
177. C17×#390C22semidirect
178. C17×#390C22semidirect
179. C17×#388C22semidirect
180. C17×#388C22semidirect
181. C17×#388C22semidirect
182. C17×#388C22semidirect
184. C17×#386C22semidirect
185. C17×#386C22semidirect
281. C4×C22⋊D17D4semidirect
538. C2×C4×D17C2×D4semidirect
610. #63227C2×D4semidirect
631. #63225C2×D4semidirect
643. C4×Dic17C2×D4semidirect
846. #2321D17semidirect
937. Dic17#538semidirect
1043. #390C2×D17semidirect
1044. #390C2×D17semidirect
1061. #388C2×D17semidirect
1062. #388C2×D17semidirect
1063. #388C2×D17semidirect
1064. #388C2×D17semidirect
1073. #386C2×D17semidirect
1074. #386C2×D17semidirect
1318. C17#35007semidirect

Maximal subgroups

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

subgroupindex
C2×#117633972
C2×#117633922
#145371502
#145371382
#145371282
#145371112
#145349272
#145349252
#145349162
#145349142
#145338602
#145338562
#145338502
#145338482
#145333672
#145331462
#145329152
#145329072
#145325462
#145324852
#145324192
#145323712
#145323182
#145323162
#145322232
#145321392
#145314442
C4×#105876252
C2×#117627092
C4×#105875672
C17×#23212
#3500717