Finite Group Databasebeta

← C2×#21438293 #29495884

Subgroups — C2×#21438293 #29495884

Order 15104.

7302 conjugacy classes of subgroups.

The subgroup lattice has 1964 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438293C2132yesmaximal, direct product factor
2C2×#16838155C211yesmaximal, characteristic, complemented
3C2×#16838152C211yesmaximal, characteristic, complemented
4C2×#16838147C211yesmaximal, characteristic, complemented
5C2×#16838147C211yesmaximal, characteristic, complemented
6C2×#16838111C211yesmaximal, characteristic, complemented
7C2×#16838106C211yesmaximal, characteristic, complemented
8C2×#16838092C211yesmaximal, characteristic, complemented
9C2×#16838089C211yesmaximal, characteristic, complemented
10C2×#16838083C211yesmaximal, characteristic, complemented
11C2×#16838083C211yesmaximal, characteristic, complemented
12C2×#16838078C211yesmaximal, characteristic, complemented
13C2×#16838078C211yesmaximal, characteristic, complemented
14C2×#16838052C211yesmaximal, characteristic, complemented
15C2×#16838051C211yesmaximal, characteristic, complemented
16C2×#16838046C211yesmaximal, characteristic, complemented
17C2×#16838031C211yesmaximal, characteristic, complemented
18C2×#16838028C211yesmaximal, characteristic, complemented
19C2×#16838019C211yesmaximal, characteristic, complemented
20C2×#16838016C211yesmaximal, characteristic, complemented
21C2×#16837997C211yesmaximal, characteristic, complemented
22C2×#16837997C211yesmaximal, characteristic, complemented
23C2×#16837995C211yesmaximal, characteristic, complemented
24C2×#16837994C211yesmaximal, characteristic, complemented
25C2×#16837994C211yesmaximal, characteristic, complemented
26C2×#16837987C211yesmaximal, characteristic, complemented
27C2×#16837974C211yesmaximal, characteristic, complemented
28C2×#16837973C211yesmaximal, characteristic, complemented
29C2×#16837908C211yesmaximal, characteristic, complemented
30C22×#14273708C211yesmaximal, characteristic, complemented
31C22×#14273704C211yesmaximal, characteristic, complemented
32C2×C59×#546C211yesmaximal, characteristic, complemented
33C22×#11745687C2211yescharacteristic
34C22×#11745687C2211yescharacteristic, complemented
35C23×Dic118C2211yescharacteristic, complemented
36C24×Dic59C2211yescharacteristic
37#16838155C22116yescomplemented
38#16838152C22116yescomplemented
39#16838147C22116yescomplemented
40#16838147C22116yescomplemented
41#16838111C22116yescomplemented
42#16838106C22116yescomplemented
43#16838092C22116yescomplemented
44#16838089C22116yescomplemented
45#16838083C22116yescomplemented
46#16838083C22116yescomplemented
47#16838078C22116yescomplemented
48#16838078C22116yescomplemented
49#16838052C22116yescomplemented
50#16838051C22116yescomplemented
51#16838046C22116yescomplemented
52#16838031C22116yescomplemented
53#16838028C22116yescomplemented
54#16838019C22116yescomplemented
55#16838016C22116yescomplemented
56#16837997C22116yescomplemented
57#16837997C22116yescomplemented
58#16837995C22116yescomplemented
59#16837994C22116yescomplemented
60#16837994C22116yescomplemented
61#16837987C22116yescomplemented
62#16837974C22116yescomplemented
63#16837973C22116yescomplemented
64C2×#14273726C2211yescharacteristic, complemented
65C2×#14273726C2211yescharacteristic, complemented
66C2×#14273726C2211yescharacteristic, complemented
67C2×#14273725C2211yescharacteristic, complemented
68C2×#14273725C2211yescharacteristic, complemented
69C2×#14273725C2211yescharacteristic, complemented
70C2×#14273721C2211yescharacteristic, complemented
71C2×#14273720C2211yescharacteristic, complemented
72C2×#14273720C2211yescharacteristic, complemented
73C2×#14273720C2211yescharacteristic, complemented
74C2×#14273720C2211yescharacteristic, complemented
75C2×#14273720C2211yescharacteristic, complemented
76C2×#14273720C2211yescharacteristic, complemented
77C2×#14273720C2211yescharacteristic, complemented
78C2×#14273720C2211yescharacteristic, complemented
79C2×#14273720C2211yescharacteristic, complemented
80C2×#14273720C2211yescharacteristic, complemented
81C2×#14273720C2211yescharacteristic, complemented
82C2×#14273719C2211yescharacteristic, complemented
83C2×#14273719C2211yescharacteristic, complemented
84C2×#14273718C2211yescharacteristic, complemented
85C2×#14273717C2211yescharacteristic, complemented
86C2×#14273717C2211yescharacteristic, complemented
87C2×#14273717C2211yescharacteristic, complemented
88C2×#14273717C2211yescharacteristic, complemented
89C2×#14273717C2211yescharacteristic, complemented
90C2×#14273717C2211yescharacteristic, complemented
91C2×#14273717C2211yescharacteristic, complemented
92C2×#14273714C2211yescharacteristic
93C2×#14273714C2211yescharacteristic, complemented
94C2×#14273714C2211yescharacteristic, complemented
95C2×#14273714C2211yescharacteristic, complemented
96C2×#14273713C2211yescharacteristic, complemented
97C2×#14273713C2211yescharacteristic, complemented
98C2×#14273713C2211yescharacteristic, complemented
99#16837908C22116yescomplemented
100C2×#14273711C2211yescharacteristic
101C2×#14273711C2211yescharacteristic, complemented
102C2×#14273710C2211yescharacteristic, complemented
103C2×#14273710C2211yescharacteristic, complemented
104C2×#14273710C2211yescharacteristic, complemented
105C2×#14273709C2211yescharacteristic, complemented
106C2×#14273709C2211yescharacteristic, complemented
107C2×#14273709C2211yescharacteristic, complemented
108C2×#14273709C2211yescharacteristic, complemented
109C2×#14273708C2211yescharacteristic
110C2×#14273708C2211yescharacteristic
111C2×#14273708C2211yescharacteristic
112C2×#14273708C2211yescharacteristic
113C2×#14273708C2211yescharacteristic
114C2×#14273708C2211yescharacteristic
115C2×#14273708C2211yescharacteristic
116C2×#14273708C2211yescharacteristic
117C2×#14273708C2211yescharacteristic
118C2×#14273708C2211yescharacteristic
119C2×#14273708C2211yescharacteristic
120C2×#14273708C22116yescomplemented
121C2×#14273708C2211yescharacteristic, complemented
122C2×#14273708C2211yescharacteristic, complemented
123C2×#14273708C2211yescharacteristic, complemented
124C2×#14273708C2211yescharacteristic, complemented
125C2×#14273708C2211yescharacteristic, complemented
126C2×#14273708C2211yescharacteristic, complemented
127C2×#14273706C2211yescharacteristic
128C2×#14273706C2211yescharacteristic, complemented
129C2×#14273706C2211yescharacteristic, complemented
130C2×#14273706C2211yescharacteristic, complemented
131C2×#14273706C2211yescharacteristic, complemented
132C2×#14273706C2211yescharacteristic, complemented
133C2×#14273706C2211yescharacteristic, complemented
134C2×#14273706C2211yescharacteristic, complemented
135C2×#14273706C2211yescharacteristic, complemented
136C2×#14273705C2211yescharacteristic, complemented
137C2×#14273705C2211yescharacteristic, complemented
138C2×#14273705C2211yescharacteristic, complemented
139C2×#14273704C2211yescharacteristic
140C2×#14273704C2211yescharacteristic
141C2×#14273704C2211yescharacteristic
142C2×#14273704C2211yescharacteristic
143C2×#14273704C2211yescharacteristic
144C2×#14273704C2211yescharacteristic
145C2×#14273704C2211yescharacteristic
146C2×#14273704C2211yescharacteristic, complemented
147C2×#14273704C2211yescharacteristic, complemented
148C2×#14273704C2211yescharacteristic, complemented
149C2×#14273704C2211yescharacteristic, complemented
150C2×#14273704C2211yescharacteristic, complemented
151C2×#14273704C2211yescharacteristic, complemented
152C2×#14273704C2211yescharacteristic, complemented
153C2×#14273704C2211yescharacteristic, complemented
154C2×#14273704C2211yescharacteristic, complemented
155C2×#14273704C2211yescharacteristic, complemented
156C2×#14273704C2211yescharacteristic, complemented
157C2×#14273704C2211yescharacteristic, complemented
158C2×#14273704C2211yescharacteristic, complemented
159C2×#14273704C22116yescomplemented
160C2×#14273703C2211yescharacteristic, complemented
161C2×#14273699C2211yescharacteristic
162C2×#14273699C2211yescharacteristic
163C2×#14273699C2211yescharacteristic
164C2×#14273699C2211yescharacteristic, complemented
165C2×#14273699C2211yescharacteristic, complemented
166C2×#14273698C2211yescharacteristic
167C2×#14273698C2211yescharacteristic, complemented
168C2×#14273696C2211yescharacteristic
169C2×#14273696C2211yescharacteristic
170C2×C4×Dic118C2211yescharacteristic, complemented
171C2×#14273692C2211yescharacteristic, complemented
172C2×D4×Dic59C2211yescharacteristic
173C2×D4×Dic59C2211yescharacteristic
174C2×D4×Dic59C2211yescharacteristic
175C2×D4×Dic59C2211yescharacteristic, complemented
176C2×D4×Dic59C2211yescharacteristic, complemented
177C2×D4×Dic59C2211yescharacteristic, complemented
178C2×C4×C22⋊D59C2211yescharacteristic
179C2×C4×C22⋊D59C2211yescharacteristic, complemented
180C2×C4×C22⋊D59C2211yescharacteristic, complemented
181C2×(C22⋊D59)⋊C4C2211yescharacteristic
182C2×(C22⋊D59)⋊C4C2211yescharacteristic
183C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
184C2×#14273686C2211yescharacteristic, complemented
185C2×#14273686C2211yescharacteristic, complemented
186C2×#14273683C2211yescharacteristic
187C2×#14273683C2211yescharacteristic
188C2×#14273683C2211yescharacteristic, complemented
189C2×#14273683C2211yescharacteristic, complemented
190C2×#14273683C2211yescharacteristic, complemented
191C22×C4⋊Dic59C2211yescharacteristic, complemented
192C22×Dic59⋊C4C2211yescharacteristic
193C22×Dic59⋊C4C2211yescharacteristic
194C22×Dic59⋊C4C2211yescharacteristic, complemented
195C22×Dic59⋊C4C2211yescharacteristic, complemented
196C22×Dic59⋊C4C2211yescharacteristic, complemented
197C2×C4⋊C4×D59C2211yescharacteristic, complemented
198C22×C22⋊Dic59C2211yescharacteristic
199C22×C22⋊Dic59C2211yescharacteristic
200C22×C22⋊Dic59C2211yescharacteristic
201C22×C22⋊Dic59C2211yescharacteristic
202C22×C22⋊Dic59C2211yescharacteristic
203C22×#41×C59C2211yescharacteristic
204C23×D4×C59C2211yescharacteristic
205C59×#546C22116yescomplemented
206C2×#124×C59C2211yescharacteristic
207C2×#123×C59C2211yescharacteristic
208C2×#123×C59C2211yescharacteristic
209C2×C22⋊Q8×C59C2211yescharacteristic
210C2×#121×C59C2211yescharacteristic
211C2×#121×C59C2211yescharacteristic
212C2×#121×C59C2211yescharacteristic
213C2×#120×C59C2211yescharacteristic
214C2×#120×C59C2211yescharacteristic
215C2×C4×D4×C59C2211yescharacteristic
216C2×C4×D4×C59C2211yescharacteristic
217C22×C22⋊C4×C59C2211yescharacteristic
218C22×C22⋊C4×C59C2211yescharacteristic
219C2×#11745687—44no—
220C2×#11745687—44no—
221C2×#11745687C2318yes—
222C2×#11745687C2318yescomplemented
223C22×Dic118—44no—
224C22×Dic118C2311yescharacteristic
225C22×Dic118C2311yescharacteristic
226C22×Dic118C2311yescharacteristic
227C22×Dic118C2311yescharacteristic
228C22×Dic118C2311yescharacteristic
229C22×Dic118C2311yescharacteristic
230C22×Dic118C2311yescharacteristic
231C22×Dic118C2311yescharacteristic
232C22×Dic118C2318yescomplemented
233C22×C22⋊D59C2311yescharacteristic
234C22×C22⋊D59C2311yescharacteristic
235C22×C22⋊D59C2311yescharacteristic
236C22×C22⋊D59C2311yescharacteristic
237C22×C22⋊D59C2311yescharacteristic
238C22×C22⋊D59C2311yescharacteristic
239C23×Dic59—44no—
240C23×Dic59C2311yescharacteristic
241C23×Dic59C2311yescharacteristic
242C23×Dic59C2311yescharacteristic
243C23×Dic59C2311yescharacteristic
244C23×Dic59C2311yescharacteristic
245C23×Dic59C2311yescharacteristic
246C23×Dic59C2311yescharacteristic
247C23×Dic59C2311yescharacteristic
248C23×Dic59C2311yescharacteristic
249C23×Dic59C2311yescharacteristic
250C23×Dic59C2311yescharacteristic
251C23×Dic59C2311yescharacteristic
252C23×Dic59C2311yescharacteristic
253C23×Dic59C2318yes—
254C23×Dic59C2311yescharacteristic
255C22×C4×D59C2311yescharacteristic
256C22×C4×D59C2311yescharacteristic
257C22×C4×D59C2311yescharacteristic
258#14273726C2318yescomplemented
259#14273726C2318yescomplemented
260#14273726C2318yescomplemented
261#14273725C2318yescomplemented
262#14273725C2318yescomplemented
263#14273725C2318yescomplemented
264#14273721C2318yescomplemented
265#14273720C2318yescomplemented
266#14273720C2318yescomplemented
267#14273720C2318yescomplemented
268#14273720C2318yescomplemented
269#14273720C2318yescomplemented
270#14273720C2318yescomplemented
271#14273720C2318yescomplemented
272#14273720C2318yescomplemented
273#14273720C2318yescomplemented
274#14273720C2318yescomplemented
275#14273720C2318yescomplemented
276#14273719C2318yescomplemented
277#14273719C2318yescomplemented
278#14273718C2318yescomplemented
279#14273717C2318yescomplemented
280#14273717C2318yescomplemented
281#14273717C2318yescomplemented
282#14273717C2318yescomplemented
283#14273717C2318yescomplemented
284#14273717C2318yescomplemented
285#14273717C2318yescomplemented
286#14273714C2318yes—
287#14273714C2318yescomplemented
288#14273714C2318yescomplemented
289#14273714C2318yescomplemented
290#14273713C2318yescomplemented
291#14273713C2318yescomplemented
292#14273713C2318yescomplemented
293#14273711C2318yes—
294#14273711C2318yescomplemented
295#14273710C2318yescomplemented
296#14273710C2318yescomplemented
297#14273710C2318yescomplemented
298#14273709C2318yescomplemented
299#14273709C2318yescomplemented
300#14273709C2318yescomplemented
301#14273709C2318yescomplemented
302#14273708C2318yes—
303#14273708C2318yes—
304#14273708C2318yes—
305#14273708C2318yes—
306#14273708C2318yes—
307#14273708C2318yes—
308#14273708C2318yes—
309#14273708C2318yes—
310#14273708C2318yes—
311#14273708C2318yes—
312#14273708C2318yes—
313#14273708C2318yescomplemented
314#14273708C2318yescomplemented
315#14273708C2318yescomplemented
316#14273708C2318yescomplemented
317#14273708C2318yescomplemented
318#14273708C2318yescomplemented
319#14273706C2318yes—
320#14273706C2318yescomplemented
321#14273706C2318yescomplemented
322#14273706C2318yescomplemented
323#14273706C2318yescomplemented
324#14273706C2318yescomplemented
325#14273706C2318yescomplemented
326#14273706C2318yescomplemented
327#14273706C2318yescomplemented
328#14273705C2318yescomplemented
329#14273705C2318yescomplemented
330#14273705C2318yescomplemented
331#14273704C2318yes—
332#14273704C2318yes—
333#14273704C2318yes—
334#14273704C2318yes—
335#14273704C2318yes—
336#14273704C2318yes—
337#14273704C2318yes—
338#14273704C2318yescomplemented
339#14273704C2318yescomplemented
340#14273704C2318yescomplemented
341#14273704C2318yescomplemented
342#14273704C2318yescomplemented
343#14273704C2318yescomplemented
344#14273704C2318yescomplemented
345#14273704C2318yescomplemented
346#14273704C2318yescomplemented
347#14273704C2318yescomplemented
348#14273704C2318yescomplemented
349#14273704C2318yescomplemented
350#14273704C2318yescomplemented
351#14273703C2318yescomplemented
352#14273699C2318yes—
353#14273699C2318yes—
354#14273699C2318yes—
355#14273699C2318yescomplemented
356#14273699C2318yescomplemented
357#14273698C2318yes—
358#14273698C2318yescomplemented
359#14273696C2318yes—
360#14273696C2318yes—
361C4×Dic118C2318yescomplemented
362#14273692C2318yescomplemented
363D4×Dic59C2318yes—
364D4×Dic59C2318yes—
365D4×Dic59C2318yes—
366D4×Dic59C2318yescomplemented
367D4×Dic59C2318yescomplemented
368D4×Dic59C2318yescomplemented
369C4×C22⋊D59C2318yes—
370C4×C22⋊D59C2318yescomplemented
371C4×C22⋊D59C2318yescomplemented
372(C22⋊D59)⋊C4C2318yes—
373(C22⋊D59)⋊C4C2318yes—
374(C22⋊D59)⋊C4C2318yescomplemented
375#14273686C2318yescomplemented
376#14273686C2318yescomplemented
377#14273683C2318yes—
378#14273683C2318yes—
379#14273683C2318yescomplemented
380#14273683C2318yescomplemented
381#14273683C2318yescomplemented
382C2×C4⋊Dic59C2311yescharacteristic
383C2×C4⋊Dic59C2311yescharacteristic
384C2×C4⋊Dic59C2311yescharacteristic
385C2×C4⋊Dic59C2311yescharacteristic
386C2×C4⋊Dic59C2311yescharacteristic
387C2×C4⋊Dic59C2311yescharacteristic
388C2×C4⋊Dic59C2311yescharacteristic
389C2×C4⋊Dic59C2311yescharacteristic
390C2×C4⋊Dic59C2311yescharacteristic
391C2×C4⋊Dic59C2311yescharacteristic
392C2×C4⋊Dic59C2311yescharacteristic
393C2×C4⋊Dic59C2311yescharacteristic
394C2×C4⋊Dic59C2318yescomplemented
395C2×Dic59⋊C4C2311yescharacteristic
396C2×Dic59⋊C4C2311yescharacteristic
397C2×Dic59⋊C4C2311yescharacteristic
398C2×Dic59⋊C4C2311yescharacteristic
399C2×Dic59⋊C4C2311yescharacteristic
400C2×Dic59⋊C4C2311yescharacteristic
401C2×Dic59⋊C4C2311yescharacteristic
402C2×Dic59⋊C4C2311yescharacteristic
403C2×Dic59⋊C4C2311yescharacteristic
404C2×Dic59⋊C4C2311yescharacteristic
405C2×Dic59⋊C4C2311yescharacteristic
406C2×Dic59⋊C4C2311yescharacteristic
407C2×Dic59⋊C4C2311yescharacteristic
408C2×Dic59⋊C4C2311yescharacteristic
409C2×Dic59⋊C4C2311yescharacteristic
410C2×Dic59⋊C4C2311yescharacteristic
411C2×Dic59⋊C4C2311yescharacteristic
412C2×Dic59⋊C4C2311yescharacteristic
413C2×Dic59⋊C4C2311yescharacteristic
414C2×Dic59⋊C4C2311yescharacteristic
415C2×Dic59⋊C4C2311yescharacteristic
416C2×Dic59⋊C4C2311yescharacteristic
417C2×Dic59⋊C4C2311yescharacteristic
418C2×Dic59⋊C4C2311yescharacteristic
419C2×Dic59⋊C4C2311yescharacteristic
420C2×Dic59⋊C4C2311yescharacteristic
421C2×Dic59⋊C4C2311yescharacteristic
422C2×Dic59⋊C4C2311yescharacteristic
423C2×Dic59⋊C4C2311yescharacteristic
424C2×Dic59⋊C4C2311yescharacteristic
425C2×Dic59⋊C4C2311yescharacteristic
426C2×Dic59⋊C4C2311yescharacteristic
427C2×Dic59⋊C4C2311yescharacteristic
428C2×Dic59⋊C4C2311yescharacteristic
429C2×Dic59⋊C4C2318yes—
430C2×Dic59⋊C4C2318yes—
431C2×Dic59⋊C4C2318yescomplemented
432C2×Dic59⋊C4C2318yescomplemented
433C2×Dic59⋊C4C2318yescomplemented
434C4⋊C4×D59C2318yescomplemented
435C2×C22⋊Dic59C2311yescharacteristic
436C2×C22⋊Dic59C2311yescharacteristic
437C2×C22⋊Dic59C2311yescharacteristic
438C2×C22⋊Dic59C2311yescharacteristic
439C2×C22⋊Dic59C2311yescharacteristic
440C2×C22⋊Dic59C2311yescharacteristic
441C2×C22⋊Dic59C2311yescharacteristic
442C2×C22⋊Dic59C2311yescharacteristic
443C2×C22⋊Dic59C2311yescharacteristic
444C2×C22⋊Dic59C2311yescharacteristic
445C2×C22⋊Dic59C2311yescharacteristic
446C2×C22⋊Dic59C2311yescharacteristic
447C2×C22⋊Dic59C2311yescharacteristic
448C2×C22⋊Dic59C2311yescharacteristic
449C2×C22⋊Dic59C2311yescharacteristic
450C2×C22⋊Dic59C2311yescharacteristic
451C2×C22⋊Dic59C2311yescharacteristic
452C2×C22⋊Dic59C2318yes—
453C2×C22⋊Dic59C2311yescharacteristic
454C2×C22⋊Dic59C2311yescharacteristic
455C2×C22⋊Dic59C2311yescharacteristic
456C2×C22⋊Dic59C2311yescharacteristic
457C2×C22⋊Dic59C2311yescharacteristic
458C2×C22⋊Dic59C2311yescharacteristic
459C2×C22⋊Dic59C2311yescharacteristic
460C2×C22⋊Dic59C2311yescharacteristic
461C2×C22⋊Dic59C2311yescharacteristic
462C2×C22⋊Dic59C2311yescharacteristic
463C2×C22⋊Dic59C2311yescharacteristic
464C2×C22⋊Dic59C2318yes—
465C2×C22⋊Dic59C2318yes—
466C2×C22⋊Dic59C2318yes—
467C2×C22⋊Dic59C2318yes—
468C2×(C2×D59)⋊C4C2311yescharacteristic
469C2×(C2×D59)⋊C4C2311yescharacteristic
470C2×(C2×D59)⋊C4C2311yescharacteristic
471C2×(C2×D59)⋊C4C2311yescharacteristic
472C2×(C2×D59)⋊C4C2311yescharacteristic
473C2×(C2×D59)⋊C4C2311yescharacteristic
474C2×C4×Dic59C2311yescharacteristic
475C2×C4×Dic59C2311yescharacteristic
476C2×C4×Dic59C2311yescharacteristic
477C2×C4×Dic59C2311yescharacteristic
478C2×C4×Dic59C2311yescharacteristic
479C2×C4×Dic59C2311yescharacteristic
480C2×C4×Dic59C2311yescharacteristic
481C2×C4×Dic59C2311yescharacteristic
482C2×C4×Dic59C2311yescharacteristic
483C25×C59C2311yescharacteristic
484C25×C59C2311yescharacteristic
485C2×#41×C59—44no—
486C2×#41×C59C2318yes—
487C22×Q8×C59C2311yescharacteristic
488C22×D4×C59—44no—
489C22×D4×C59C2311yescharacteristic
490C22×D4×C59C2311yescharacteristic
491C22×D4×C59C2311yescharacteristic
492C22×D4×C59C2311yescharacteristic
493C22×D4×C59C2311yescharacteristic
494C22×D4×C59C2311yescharacteristic
495C22×D4×C59C2311yescharacteristic
496C22×D4×C59C2311yescharacteristic
497C22×D4×C59C2311yescharacteristic
498C22×D4×C59C2318yes—
499C23×C4×C59C2311yescharacteristic
500C23×C4×C59C2311yescharacteristic
501C23×C4×C59C2311yescharacteristic
502C23×C4×C59C2311yescharacteristic
503C23×C4×C59C2311yescharacteristic
504C23×C4×C59C2311yescharacteristic
505#124×C59C2318yes—
506#123×C59C2318yes—
507#123×C59C2318yes—
508C22⋊Q8×C59C2318yes—
509#121×C59C2318yes—
510#121×C59C2318yes—
511#121×C59C2318yes—
512#120×C59C2318yes—
513#120×C59C2318yes—
514C4×D4×C59C2318yes—
515C4×D4×C59C2318yes—
516C2×C4⋊C4×C59C2311yescharacteristic
517C2×C4⋊C4×C59C2311yescharacteristic
518C2×C4⋊C4×C59C2311yescharacteristic
519C2×C4⋊C4×C59C2311yescharacteristic
520C2×C22⋊C4×C59C2311yescharacteristic
521C2×C22⋊C4×C59C2311yescharacteristic
522C2×C22⋊C4×C59C2311yescharacteristic
523C2×C22⋊C4×C59C2311yescharacteristic
524C2×C22⋊C4×C59C2311yescharacteristic
525C2×C22⋊C4×C59C2311yescharacteristic
526C2×C22⋊C4×C59C2311yescharacteristic
527C2×C22⋊C4×C59C2311yescharacteristic
528C2×C22⋊C4×C59C2318yes—
529C2×C22⋊C4×C59C2311yescharacteristic
530C2×C22⋊C4×C59C2311yescharacteristic
531C2×C22⋊C4×C59C2311yescharacteristic
532C2×C22⋊C4×C59C2311yescharacteristic
533C2×C22⋊C4×C59C2318yes—
534C2×C42×C59C2311yescharacteristic
535C24×C59—24no—
536C24×C59—24no—
537C24×C59—24no—
538C24×C59—42no—
539C24×C59—42no—
540C24×C59—42no—
541C24×C59C2411yescharacteristic
542C24×C59C2411yescharacteristic
543C24×C59C2411yescharacteristic
544C24×C59C2411yescharacteristic
545C24×C59C2414yes—
546C24×C59C2411yescharacteristic
547C24×C59C2411yescharacteristic
548C24×C59C2414yes—
549C23×D59C2411yescharacteristic
550#41×C59—416no—
551C2×Q8×C59—42no—
552C2×Q8×C59C2414yes—
553C2×D4×C59—24no—
554C2×D4×C59—24no—
555C2×D4×C59—24no—
556C2×D4×C59—24no—
557C2×D4×C59—42no—
558C2×D4×C59—42no—
559C2×D4×C59—42no—
560C2×D4×C59—42no—
561C2×D4×C59—42no—
562C2×D4×C59—416no—
563C2×D4×C59C2414yes—
564C2×D4×C59C2414yes—
565C2×D4×C59C2414yes—
566C2×D4×C59C2414yes—
567C2×D4×C59C2414yes—
568C2×D4×C59C2414yes—
569C2×D4×C59C2414yes—
570C2×D4×C59C2414yes—
571C2×D4×C59C2414yes—
572C22×C4×C59—24no—
573C22×C4×C59—42no—
574C22×C4×C59—42no—
575C22×C4×C59—42no—
576C22×C4×C59—42no—
577C22×C4×C59—42no—
578C22×C4×C59C2411yescharacteristic
579C22×C4×C59C2411yescharacteristic
580C22×C4×C59C2411yescharacteristic
581C22×C4×C59C2411yescharacteristic
582C22×C4×C59C2411yescharacteristic
583C22×C4×C59C2411yescharacteristic
584C22×C4×C59C2411yescharacteristic
585C22×C4×C59C2411yescharacteristic
586C22×C4×C59C2414yes—
587C22×C4×C59C2411yescharacteristic
588C22×C4×C59C2414yes—
589C22×C4×C59C2414yes—
590C22×C4×C59C2414yes—
591C22×C4×C59C2414yes—
592C22×C4×C59C2414yes—
593C2×C22⋊D59—24no—
594C2×C22⋊D59—24no—
595C2×C22⋊D59—42no—
596C2×C22⋊D59—42no—
597C2×C22⋊D59—42no—
598C2×C22⋊D59—42no—
599C2×C22⋊D59C2414yes—
600C2×C22⋊D59C2414yes—
601C2×C22⋊D59C2414yes—
602C2×C22⋊D59C2414yes—
603C2×C22⋊D59C2414yes—
604C2×C22⋊D59C2414yes—
605C22×Dic59—24no—
606C22×Dic59—24no—
607C22×Dic59—24no—
608C22×Dic59—24no—
609C22×Dic59—42no—
610C22×Dic59—42no—
611C22×Dic59—42no—
612C22×Dic59—42no—
613C22×Dic59—416no—
614C22×Dic59—42no—
615C22×Dic59—42no—
616C22×Dic59—42no—
617C22×Dic59—42no—
618C22×Dic59—42no—
619C22×Dic59—42no—
620C22×Dic59C2411yescharacteristic
621C22×Dic59C2411yescharacteristic
622C22×Dic59C2411yescharacteristic
623C22×Dic59C2411yescharacteristic
624C22×Dic59C2411yescharacteristic
625C22×Dic59C2411yescharacteristic
626C22×Dic59C2411yescharacteristic
627C22×Dic59C2411yescharacteristic
628C22×Dic59C2411yescharacteristic
629C22×Dic59C2411yescharacteristic
630C22×Dic59C2411yescharacteristic
631C22×Dic59C2411yescharacteristic
632C22×Dic59C2411yescharacteristic
633C22×Dic59C2411yescharacteristic
634C22×Dic59C2414yes—
635C22×Dic59C2411yescharacteristic
636C22×Dic59C2414yes—
637C22×Dic59C2414yes—
638C22×Dic59C2414yes—
639C22×Dic59C2414yes—
640C22×Dic59C2414yes—
641C22×Dic59C2414yes—
642C22×Dic59C2414yes—
643C22×Dic59C2414yes—
644C22×Dic59C2414yes—
645C22×Dic59C2414yes—
646C22×Dic59C2414yes—
647C22×Dic59C2414yes—
648C22×Dic59C2414yes—
649#11745687—416no—
650#11745687—416no—
651C2×C4×D59—42no—
652C2×C4×D59—42no—
653C2×C4×D59—42no—
654C2×C4×D59C2414yes—
655C2×C4×D59C2414yes—
656C2×C4×D59C2414yes—
657C2×Dic118—42no—
658C2×Dic118—42no—
659C2×Dic118—42no—
660C2×Dic118—42no—
661C2×Dic118—416no—
662C2×Dic118—42no—
663C2×Dic118—42no—
664C2×Dic118—42no—
665C2×Dic118—42no—
666C2×Dic118C2414yes—
667C2×Dic118C2414yes—
668C2×Dic118C2414yes—
669C2×Dic118C2414yes—
670C2×Dic118C2414yes—
671C2×Dic118C2414yes—
672C2×Dic118C2414yes—
673C2×Dic118C2414yes—
674C4⋊C4×C59C2414yes—
675C4⋊C4×C59C2414yes—
676C4⋊C4×C59C2414yes—
677C4⋊C4×C59C2414yes—
678C22⋊C4×C59C2414yes—
679C22⋊C4×C59C2414yes—
680C22⋊C4×C59C2414yes—
681C22⋊C4×C59C2414yes—
682C22⋊C4×C59C2414yes—
683C22⋊C4×C59C2414yes—
684C22⋊C4×C59C2414yes—
685C22⋊C4×C59C2414yes—
686C22⋊C4×C59C2414yes—
687C22⋊C4×C59C2414yes—
688C22⋊C4×C59C2414yes—
689C22⋊C4×C59C2414yes—
690C42×C59C2414yes—
691C22⋊Dic59C2414yes—
692C22⋊Dic59C2414yes—
693C22⋊Dic59C2414yes—
694C22⋊Dic59C2414yes—
695C22⋊Dic59C2414yes—
696C22⋊Dic59C2414yes—
697C22⋊Dic59C2414yes—
698C22⋊Dic59C2414yes—
699C22⋊Dic59C2414yes—
700C22⋊Dic59C2414yes—
701C22⋊Dic59C2414yes—
702C22⋊Dic59C2414yes—
703C22⋊Dic59C2414yes—
704C22⋊Dic59C2414yes—
705C22⋊Dic59C2414yes—
706C22⋊Dic59C2414yes—
707C22⋊Dic59C2414yes—
708C22⋊Dic59C2414yes—
709C22⋊Dic59C2414yes—
710C22⋊Dic59C2414yes—
711C22⋊Dic59C2414yes—
712C22⋊Dic59C2414yes—
713C22⋊Dic59C2414yes—
714C22⋊Dic59C2414yes—
715C22⋊Dic59C2414yes—
716C22⋊Dic59C2414yes—
717C22⋊Dic59C2414yes—
718C22⋊Dic59C2414yes—
719(C2×D59)⋊C4C2414yes—
720(C2×D59)⋊C4C2414yes—
721(C2×D59)⋊C4C2414yes—
722(C2×D59)⋊C4C2414yes—
723(C2×D59)⋊C4C2414yes—
724(C2×D59)⋊C4C2414yes—
725C4⋊Dic59C2414yes—
726C4⋊Dic59C2414yes—
727C4⋊Dic59C2414yes—
728C4⋊Dic59C2414yes—
729C4⋊Dic59C2414yes—
730C4⋊Dic59C2414yes—
731C4⋊Dic59C2414yes—
732C4⋊Dic59C2414yes—
733C4⋊Dic59C2414yes—
734C4⋊Dic59C2414yes—
735C4⋊Dic59C2414yes—
736C4⋊Dic59C2414yes—
737Dic59⋊C4C2414yes—
738Dic59⋊C4C2414yes—
739Dic59⋊C4C2414yes—
740Dic59⋊C4C2414yes—
741Dic59⋊C4C2414yes—
742Dic59⋊C4C2414yes—
743Dic59⋊C4C2414yes—
744Dic59⋊C4C2414yes—
745Dic59⋊C4C2414yes—
746Dic59⋊C4C2414yes—
747Dic59⋊C4C2414yes—
748Dic59⋊C4C2414yes—
749Dic59⋊C4C2414yes—
750Dic59⋊C4C2414yes—
751Dic59⋊C4C2414yes—
752Dic59⋊C4C2414yes—
753Dic59⋊C4C2414yes—
754Dic59⋊C4C2414yes—
755Dic59⋊C4C2414yes—
756Dic59⋊C4C2414yes—
757Dic59⋊C4C2414yes—
758Dic59⋊C4C2414yes—
759Dic59⋊C4C2414yes—
760Dic59⋊C4C2414yes—
761Dic59⋊C4C2414yes—
762Dic59⋊C4C2414yes—
763Dic59⋊C4C2414yes—
764Dic59⋊C4C2414yes—
765Dic59⋊C4C2414yes—
766Dic59⋊C4C2414yes—
767Dic59⋊C4C2414yes—
768Dic59⋊C4C2414yes—
769Dic59⋊C4C2414yes—
770Dic59⋊C4C2414yes—
771C4×Dic59C2414yes—
772C4×Dic59C2414yes—
773C4×Dic59C2414yes—
774C4×Dic59C2414yes—
775C4×Dic59C2414yes—
776C4×Dic59C2414yes—
777C4×Dic59C2414yes—
778C4×Dic59C2414yes—
779C4×Dic59C2414yes—
780C23×C59—22no—
781C23×C59—22no—
782C23×C59—22no—
783C23×C59—22no—
784C23×C59—28no—
785C23×C59—22no—
786C23×C59—22no—
787C23×C59—22no—
788C23×C59—22no—
789C23×C59—22no—
790C23×C59—28no—
791C23×C59—22no—
792C23×C59—22no—
793C23×C59—22no—
794C23×C59—22no—
795C23×C59—22no—
796C23×C59—22no—
797C23×C59—22no—
798C23×C59—28no—
799C23×C59—44no—
800C23×C59—44no—
801C23×C59—44no—
802C23×C59—416no—
803C23×C59—88no—
804C23×C59H(5,𝔽2)14yes—
805C23×C592−1+414yes—
806C23×C59C2512yes—
807C23×C59C2512yes—
808C23×C59C2512yes—
809C23×C59C2512yes—
810C23×C59C2512yes—
811C23×C59C2512yes—
812C23×C59C2511yescharacteristic
813C22×D59—22no—
814C22×D59—22no—
815C22×D59—22no—
816C22×D59C2512yes—
817Q8×C59—44no—
818D4×C59—28no—
819D4×C59—28no—
820D4×C59—28no—
821D4×C59—28no—
822D4×C59—44no—
823D4×C59—44no—
824D4×C59—44no—
825D4×C59—44no—
826D4×C59—44no—
827C2×C4×C59—22no—
828C2×C4×C59—22no—
829C2×C4×C59—28no—
830C2×C4×C59—22no—
831C2×C4×C59—22no—
832C2×C4×C59—22no—
833C2×C4×C59—22no—
834C2×C4×C59—22no—
835C2×C4×C59—22no—
836C2×C4×C59—22no—
837C2×C4×C59—44no—
838C2×C4×C59—44no—
839C2×C4×C59—44no—
840C2×C4×C59—44no—
841C2×C4×C59—44no—
842C2×C4×C59C2512yes—
843C2×C4×C59C2512yes—
844C2×C4×C59C2512yes—
845C2×C4×C59C2512yes—
846C2×C4×C59C2512yes—
847C2×C4×C59C2512yes—
848C2×C4×C59C2512yes—
849C2×C4×C59C2512yes—
850C2×C4×C59C2512yes—
851C22⋊D59—28no—
852C22⋊D59—28no—
853C22⋊D59—44no—
854C22⋊D59—44no—
855C22⋊D59—44no—
856C22⋊D59—44no—
857C2×Dic59—22no—
858C2×Dic59—22no—
859C2×Dic59—28no—
860C2×Dic59—28no—
861C2×Dic59—22no—
862C2×Dic59—22no—
863C2×Dic59—22no—
864C2×Dic59—22no—
865C2×Dic59—22no—
866C2×Dic59—28no—
867C2×Dic59—28no—
868C2×Dic59—22no—
869C2×Dic59—22no—
870C2×Dic59—22no—
871C2×Dic59—22no—
872C2×Dic59—22no—
873C2×Dic59—22no—
874C2×Dic59—22no—
875C2×Dic59—22no—
876C2×Dic59—44no—
877C2×Dic59—44no—
878C2×Dic59—44no—
879C2×Dic59—44no—
880C2×Dic59—44no—
881C2×Dic59—44no—
882C2×Dic59—44no—
883C2×Dic59—44no—
884C2×Dic59—44no—
885C2×Dic59—44no—
886C2×Dic59C2512yes—
887C2×Dic59C2512yes—
888C2×Dic59C2512yes—
889C2×Dic59C2512yes—
890C2×Dic59C2512yes—
891C2×Dic59C2512yes—
892C2×Dic59C2512yes—
893C2×Dic59C2512yes—
894C2×Dic59C2512yes—
895C2×Dic59C2512yes—
896C2×Dic59C2512yes—
897C2×Dic59C2512yes—
898C2×Dic59C2512yes—
899C2×Dic59C2512yes—
900C2×Dic59C2512yes—
901C4×D59—44no—
902C4×D59—44no—
903C4×D59—44no—
904Dic118—44no—
905Dic118—44no—
906Dic118—44no—
907Dic118—44no—
908Dic118—44no—
909Dic118—44no—
910Dic118—44no—
911Dic118—44no—
912C2×#3535—591nomaximal, Sylow
913C22×C59—22no—
914C22×C59—22no—
915C22×C59—22no—
916C22×C59—22no—
917C22×C59—28no—
918C22×C59—28no—
919C22×C59—22no—
920C22×C59—22no—
921C22×C59—22no—
922C22×C59—22no—
923C22×C59—22no—
924C22×C59—22no—
925C22×C59—22no—
926C22×C59—22no—
927C22×C59—22no—
928C22×C59—22no—
929C22×C59—22no—
930C22×C59—22no—
931C22×C59—416no—
932C22×C59—44no—
933C22×C59—44no—
934C22×C59—44no—
935C22×C59—44no—
936C22×C59—88no—
937C22×C59C2×H(5,𝔽2)14yes—
938C22×C59C2×H(5,𝔽2)12yes—
939C22×C59C2×2−1+414yes—
940C22×C59C2×2−1+412yes—
941C22×C59#58512yes—
942C22×C59C2611yescharacteristic
943C2×D59—22no—
944C2×D59—22no—
945C2×D59—22no—
946C2×D59—44no—
947C4×C59—22no—
948C4×C59—22no—
949C4×C59—22no—
950C4×C59—22no—
951C4×C59—22no—
952C4×C59—22no—
953C4×C59—22no—
954C4×C59—22no—
955C4×C59—22no—
956Dic59—22no—
957Dic59—22no—
958Dic59—22no—
959Dic59—22no—
960Dic59—22no—
961Dic59—22no—
962Dic59—22no—
963Dic59—22no—
964Dic59—22no—
965Dic59—22no—
966Dic59—22no—
967Dic59—22no—
968Dic59—22no—
969Dic59—22no—
970Dic59—22no—
971#3535—5932no—
972C2×#563—591no—
973C2×#563—591no—
974C2×#562—591no—
975C2×#562—591no—
976C2×#554—591no—
977C2×#554—591no—
978C2×#552—591no—
979C2×#552—591no—
980C2×#551—591no—
981C2×#551—591no—
982C2×#551—591no—
983C2×#551—591no—
984C2×#547—591no—
985C2×#547—591no—
986C2×#546—591no—
987C2×#546D5911yescharacteristic, complemented
988C2×#544—591no—
989C2×#543—591no—
990C2×#542—591no—
991C2×#542—591no—
992C2×#539—591no—
993C2×#539—591no—
994C2×#539—591no—
995C2×#539—591no—
996C2×#539—591no—
997C2×#538—591no—
998C2×#536—591no—
999C2×#536—591no—
1000C2×#525—591no—
1001C22×#123—591no—
1002C22×C22⋊Q8—591no—
1003C2×C59—24no—
1004C2×C59—24no—
1005C2×C59—42no—
1006C2×C59—42no—
1007C2×C59—42no—
1008C2×C59—42no—
1009C2×C59#353514yescomplemented
1010C2×C59C22×H(5,𝔽2)11yescharacteristic
1011C2×C59C22×2−1+411yescharacteristic
1012C2×C59C2×#58511yescharacteristic
1013D59—42no—
1014C22×#41—591no—
1015C22×#41—591no—
1016C22×#41C2×D5911yescharacteristic
1017C23×Q8—591no—
1018C23×D4C2×D5911yescharacteristic
1019C24×C4—591no—
1020#563—5916no—
1021#563—5916no—
1022#562—5916no—
1023#562—5916no—
1024#554—5916no—
1025#554—5916no—
1026#552—5916no—
1027#552—5916no—
1028#551—5916no—
1029#551—5916no—
1030#551—5916no—
1031#551—5916no—
1032#547—5916no—
1033#547—5916no—
1034#546—5916no—
1035#546C2×D59116yescomplemented
1036#544—5916no—
1037#543—5916no—
1038#542—5916no—
1039#542—5916no—
1040#539—5916no—
1041#539—5916no—
1042#539—5916no—
1043#539—5916no—
1044#539—5916no—
1045#538—5916no—
1046#536—5916no—
1047#536—5916no—
1048C2×C4⋊Q8—591no—
1049C2×C4⋊Q8—591no—
1050C2×C4⋊Q8—591no—
1051C2×C4⋊Q8—591no—
1052C2×C4⋊Q8—591no—
1053C2×C4⋊Q8—591no—
1054C2×#126—591no—
1055C2×#126—591no—
1056C2×#126—591no—
1057C2×#126—591no—
1058C2×#126—591no—
1059C2×#126—591no—
1060C2×#126—591no—
1061C2×#126—591no—
1062C2×#126—591no—
1063C2×#126—591no—
1064C2×#126—591no—
1065C2×#126—591no—
1066C2×#125—591no—
1067C2×#125—591no—
1068C2×#125—591no—
1069C2×#125—591no—
1070C2×#125—591no—
1071C2×#125—591no—
1072C2×#125—591no—
1073C2×#125—591no—
1074C2×#125—591no—
1075C2×#125—591no—
1076C2×#124—591no—
1077C2×#124—591no—
1078C2×#124—591no—
1079C2×#124—591no—
1080C2×#124—591no—
1081C2×#124—591no—
1082C2×#124—591no—
1083C2×#124C2×D5911yescharacteristic
1084#525—5916no—
1085C2×#123—591no—
1086C2×#123—591no—
1087C2×#123—591no—
1088C2×#123—591no—
1089C2×#123—591no—
1090C2×#123—591no—
1091C2×#123—591no—
1092C2×#123—591no—
1093C2×#123—591no—
1094C2×#123—591no—
1095C2×#123—591no—
1096C2×#123—5916no—
1097C2×#123—591no—
1098C2×#123—591no—
1099C2×#123—591no—
1100C2×#123—591no—
1101C2×#123—591no—
1102C2×#123—591no—
1103C2×#123—591no—
1104C2×#123—591no—
1105C2×#123—591no—
1106C2×#123—591no—
1107C2×#123—591no—
1108C2×#123—591no—
1109C2×#123—591no—
1110C2×#123—591no—
1111C2×#123—591no—
1112C2×#123C2×D5911yescharacteristic
1113C2×#123C2×D5911yescharacteristic
1114C2×C22⋊Q8—591no—
1115C2×C22⋊Q8—591no—
1116C2×C22⋊Q8—591no—
1117C2×C22⋊Q8—591no—
1118C2×C22⋊Q8—591no—
1119C2×C22⋊Q8—591no—
1120C2×C22⋊Q8—591no—
1121C2×C22⋊Q8—591no—
1122C2×C22⋊Q8—591no—
1123C2×C22⋊Q8—591no—
1124C2×C22⋊Q8—591no—
1125C2×C22⋊Q8—591no—
1126C2×C22⋊Q8—591no—
1127C2×C22⋊Q8—591no—
1128C2×C22⋊Q8—591no—
1129C2×C22⋊Q8—591no—
1130C2×C22⋊Q8—591no—
1131C2×C22⋊Q8—591no—
1132C2×C22⋊Q8—591no—
1133C2×C22⋊Q8—591no—
1134C2×C22⋊Q8—591no—
1135C2×C22⋊Q8—591no—
1136C2×C22⋊Q8—591no—
1137C2×C22⋊Q8—591no—
1138C2×C22⋊Q8—5916no—
1139C2×C22⋊Q8—591no—
1140C2×C22⋊Q8—591no—
1141C2×C22⋊Q8—591no—
1142C2×C22⋊Q8—591no—
1143C2×C22⋊Q8—591no—
1144C2×C22⋊Q8—591no—
1145C2×C22⋊Q8—591no—
1146C2×C22⋊Q8—591no—
1147C2×C22⋊Q8—591no—
1148C2×C22⋊Q8C2×D5911yescharacteristic
1149C2×#121—591no—
1150C2×#121—591no—
1151C2×#121—591no—
1152C2×#121—591no—
1153C2×#121—591no—
1154C2×#121—591no—
1155C2×#121—591no—
1156C2×#121C2×D5911yescharacteristic
1157C2×#121C2×D5911yescharacteristic
1158C2×#121C2×D5911yescharacteristic
1159C2×#120—591no—
1160C2×#120—591no—
1161C2×#120C2×D5911yescharacteristic
1162C2×#120C2×D5911yescharacteristic
1163C2×C4×Q8—591no—
1164C2×C4×Q8—591no—
1165C2×C4×D4—591no—
1166C2×C4×D4—591no—
1167C2×C4×D4—591no—
1168C2×C4×D4—591no—
1169C2×C4×D4—591no—
1170C2×C4×D4—591no—
1171C2×C4×D4—591no—
1172C2×C4×D4—591no—
1173C2×C4×D4—591no—
1174C2×C4×D4—591no—
1175C2×C4×D4—591no—
1176C2×C4×D4—591no—
1177C2×C4×D4C2×D5911yescharacteristic
1178C2×C4×D4C2×D5911yescharacteristic
1179C2×#117—591no—
1180C2×#117—591no—
1181C2×#117—591no—
1182C2×#117—591no—
1183C2×#117—591no—
1184C2×#117—591no—
1185C2×#117—591no—
1186C22×C4⋊C4—591no—
1187C22×C4⋊C4—591no—
1188C22×C4⋊C4—591no—
1189C22×C4⋊C4—591no—
1190C22×C4⋊C4—591no—
1191C22×C4⋊C4—591no—
1192C22×C4⋊C4—591no—
1193C22×C22⋊C4—591no—
1194C22×C22⋊C4—591no—
1195C22×C22⋊C4—591no—
1196C22×C22⋊C4—591no—
1197C22×C22⋊C4—591no—
1198C22×C22⋊C4C2×D5911yescharacteristic
1199C22×C22⋊C4C2×D5911yescharacteristic
1200C59C2×#353511yescharacteristic, complemented, Sylow
1201C25C22×D5911yescharacteristic
1202C25C22×D5911yescharacteristic
1203C2×#41—44no—
1204C2×#41—598no—
1205C2×#41—598no—
1206C2×#41—2364no—
1207C2×#41—2364no—
1208C2×#41C22×D5918yes—
1209C22×Q8—591no—
1210C22×Q8—591no—
1211C22×Q8—591no—
1212C22×Q8—591no—
1213C22×Q8—591no—
1214C22×Q8—591no—
1215C22×Q8—591no—
1216C22×Q8—591no—
1217C22×Q8—598no—
1218C22×Q8—2364no—
1219C22×Q8C22×D5911yescharacteristic
1220C22×D4—44no—
1221C22×D4—591no—
1222C22×D4—591no—
1223C22×D4—591no—
1224C22×D4—591no—
1225C22×D4—591no—
1226C22×D4—591no—
1227C22×D4C22×D5911yescharacteristic
1228C22×D4C22×D5911yescharacteristic
1229C22×D4C22×D5911yescharacteristic
1230C22×D4C22×D5911yescharacteristic
1231C22×D4C22×D5911yescharacteristic
1232C22×D4C22×D5911yescharacteristic
1233C22×D4C22×D5911yescharacteristic
1234C22×D4C22×D5911yescharacteristic
1235C22×D4C22×D5911yescharacteristic
1236C22×D4C22×D5918yes—
1237C23×C4—591no—
1238C23×C4—591no—
1239C23×C4—591no—
1240C23×C4—591no—
1241C23×C4—591no—
1242C23×C4—591no—
1243C23×C4—591no—
1244C23×C4—591no—
1245C23×C4—591no—
1246C23×C4—591no—
1247C23×C4—591no—
1248C23×C4—591no—
1249C23×C4—591no—
1250C23×C4—591no—
1251C23×C4—598no—
1252C23×C4—591no—
1253C23×C4—591no—
1254C23×C4—591no—
1255C23×C4—2364no—
1256C23×C4C22×D5911yescharacteristic
1257C23×C4C22×D5911yescharacteristic
1258C23×C4C22×D5911yescharacteristic
1259C23×C4C22×D5911yescharacteristic
1260C23×C4C22×D5911yescharacteristic
1261C23×C4C22×D5911yescharacteristic
1262C4⋊Q8—598no—
1263C4⋊Q8—598no—
1264C4⋊Q8—598no—
1265C4⋊Q8—598no—
1266C4⋊Q8—598no—
1267C4⋊Q8—598no—
1268#126—598no—
1269#126—598no—
1270#126—598no—
1271#126—598no—
1272#126—598no—
1273#126—598no—
1274#126—598no—
1275#126—598no—
1276#126—598no—
1277#126—598no—
1278#126—598no—
1279#126—598no—
1280#125—598no—
1281#125—598no—
1282#125—598no—
1283#125—598no—
1284#125—598no—
1285#125—598no—
1286#125—598no—
1287#125—598no—
1288#125—598no—
1289#125—598no—
1290#124—598no—
1291#124—598no—
1292#124—598no—
1293#124—598no—
1294#124—598no—
1295#124—598no—
1296#124—598no—
1297#124C22×D5918yes—
1298#123—598no—
1299#123—598no—
1300#123—598no—
1301#123—598no—
1302#123—598no—
1303#123—598no—
1304#123—598no—
1305#123—598no—
1306#123—598no—
1307#123—598no—
1308#123—598no—
1309#123—598no—
1310#123—598no—
1311#123—598no—
1312#123—598no—
1313#123—598no—
1314#123—598no—
1315#123—598no—
1316#123—598no—
1317#123—598no—
1318#123—598no—
1319#123—598no—
1320#123—598no—
1321#123—598no—
1322#123—598no—
1323#123—598no—
1324#123C22×D5918yes—
1325#123C22×D5918yes—
1326C22⋊Q8—598no—
1327C22⋊Q8—598no—
1328C22⋊Q8—598no—
1329C22⋊Q8—598no—
1330C22⋊Q8—598no—
1331C22⋊Q8—598no—
1332C22⋊Q8—598no—
1333C22⋊Q8—598no—
1334C22⋊Q8—598no—
1335C22⋊Q8—598no—
1336C22⋊Q8—598no—
1337C22⋊Q8—598no—
1338C22⋊Q8—598no—
1339C22⋊Q8—598no—
1340C22⋊Q8—598no—
1341C22⋊Q8—598no—
1342C22⋊Q8—598no—
1343C22⋊Q8—598no—
1344C22⋊Q8—598no—
1345C22⋊Q8—598no—
1346C22⋊Q8—598no—
1347C22⋊Q8—598no—
1348C22⋊Q8—598no—
1349C22⋊Q8—598no—
1350C22⋊Q8—598no—
1351C22⋊Q8—598no—
1352C22⋊Q8—598no—
1353C22⋊Q8—598no—
1354C22⋊Q8—598no—
1355C22⋊Q8—598no—
1356C22⋊Q8—598no—
1357C22⋊Q8—598no—
1358C22⋊Q8—598no—
1359C22⋊Q8C22×D5918yes—
1360#121—598no—
1361#121—598no—
1362#121—598no—
1363#121—598no—
1364#121—598no—
1365#121—598no—
1366#121—598no—
1367#121C22×D5918yes—
1368#121C22×D5918yes—
1369#121C22×D5918yes—
1370#120—598no—
1371#120—598no—
1372#120C22×D5918yes—
1373#120C22×D5918yes—
1374C4×Q8—598no—
1375C4×Q8—598no—
1376C4×D4—598no—
1377C4×D4—598no—
1378C4×D4—598no—
1379C4×D4—598no—
1380C4×D4—598no—
1381C4×D4—598no—
1382C4×D4—598no—
1383C4×D4—598no—
1384C4×D4—598no—
1385C4×D4—598no—
1386C4×D4—598no—
1387C4×D4—598no—
1388C4×D4C22×D5918yes—
1389C4×D4C22×D5918yes—
1390#117—598no—
1391#117—598no—
1392#117—598no—
1393#117—598no—
1394#117—598no—
1395#117—598no—
1396#117—598no—
1397C2×C4⋊C4—591no—
1398C2×C4⋊C4—591no—
1399C2×C4⋊C4—591no—
1400C2×C4⋊C4—591no—
1401C2×C4⋊C4—591no—
1402C2×C4⋊C4—591no—
1403C2×C4⋊C4—591no—
1404C2×C4⋊C4—591no—
1405C2×C4⋊C4—591no—
1406C2×C4⋊C4—591no—
1407C2×C4⋊C4—591no—
1408C2×C4⋊C4—591no—
1409C2×C4⋊C4—591no—
1410C2×C4⋊C4—591no—
1411C2×C4⋊C4—591no—
1412C2×C4⋊C4—591no—
1413C2×C4⋊C4—591no—
1414C2×C4⋊C4—591no—
1415C2×C4⋊C4—591no—
1416C2×C4⋊C4—598no—
1417C2×C4⋊C4—598no—
1418C2×C4⋊C4—598no—
1419C2×C4⋊C4—591no—
1420C2×C4⋊C4—591no—
1421C2×C4⋊C4—591no—
1422C2×C4⋊C4—591no—
1423C2×C4⋊C4—598no—
1424C2×C4⋊C4—598no—
1425C2×C4⋊C4—598no—
1426C2×C4⋊C4—591no—
1427C2×C4⋊C4—591no—
1428C2×C4⋊C4—591no—
1429C2×C4⋊C4—591no—
1430C2×C4⋊C4—591no—
1431C2×C4⋊C4—591no—
1432C2×C4⋊C4—591no—
1433C2×C4⋊C4—591no—
1434C2×C4⋊C4—591no—
1435C2×C4⋊C4—591no—
1436C2×C4⋊C4—591no—
1437C2×C4⋊C4—591no—
1438C2×C4⋊C4—591no—
1439C2×C4⋊C4—591no—
1440C2×C4⋊C4—591no—
1441C2×C4⋊C4—591no—
1442C2×C4⋊C4—591no—
1443C2×C4⋊C4—591no—
1444C2×C4⋊C4—591no—
1445C2×C4⋊C4—591no—
1446C2×C4⋊C4—591no—
1447C2×C4⋊C4—591no—
1448C2×C4⋊C4—591no—
1449C2×C4⋊C4—598no—
1450C2×C4⋊C4C22×D5911yescharacteristic
1451C2×C4⋊C4C22×D5911yescharacteristic
1452C2×C4⋊C4C22×D5911yescharacteristic
1453C2×C4⋊C4C22×D5911yescharacteristic
1454C2×C22⋊C4—591no—
1455C2×C22⋊C4—591no—
1456C2×C22⋊C4—591no—
1457C2×C22⋊C4—591no—
1458C2×C22⋊C4—591no—
1459C2×C22⋊C4—591no—
1460C2×C22⋊C4—591no—
1461C2×C22⋊C4—591no—
1462C2×C22⋊C4—591no—
1463C2×C22⋊C4—591no—
1464C2×C22⋊C4—591no—
1465C2×C22⋊C4—591no—
1466C2×C22⋊C4—591no—
1467C2×C22⋊C4—591no—
1468C2×C22⋊C4—591no—
1469C2×C22⋊C4—598no—
1470C2×C22⋊C4—591no—
1471C2×C22⋊C4—591no—
1472C2×C22⋊C4—591no—
1473C2×C22⋊C4—591no—
1474C2×C22⋊C4—598no—
1475C2×C22⋊C4—598no—
1476C2×C22⋊C4—598no—
1477C2×C22⋊C4—598no—
1478C2×C22⋊C4—591no—
1479C2×C22⋊C4—591no—
1480C2×C22⋊C4—591no—
1481C2×C22⋊C4—591no—
1482C2×C22⋊C4—591no—
1483C2×C22⋊C4—591no—
1484C2×C22⋊C4—591no—
1485C2×C22⋊C4—591no—
1486C2×C22⋊C4—591no—
1487C2×C22⋊C4—591no—
1488C2×C22⋊C4—591no—
1489C2×C22⋊C4—591no—
1490C2×C22⋊C4—591no—
1491C2×C22⋊C4—591no—
1492C2×C22⋊C4—591no—
1493C2×C22⋊C4C22×D5911yescharacteristic
1494C2×C22⋊C4C22×D5911yescharacteristic
1495C2×C22⋊C4C22×D5911yescharacteristic
1496C2×C22⋊C4C22×D5911yescharacteristic
1497C2×C22⋊C4C22×D5911yescharacteristic
1498C2×C22⋊C4C22×D5911yescharacteristic
1499C2×C22⋊C4C22×D5911yescharacteristic
1500C2×C22⋊C4C22×D5918yes—
1501C2×C22⋊C4C22×D5918yes—
1502C2×C22⋊C4C22×D5911yescharacteristic
1503C2×C22⋊C4C22×D5911yescharacteristic
1504C2×C22⋊C4C22×D5911yescharacteristic
1505C2×C22⋊C4C22×D5911yescharacteristic
1506C2×C22⋊C4C22×D5911yescharacteristic
1507C2×C42—591no—
1508C2×C42—591no—
1509C2×C42—591no—
1510C2×C42—591no—
1511C2×C42—591no—
1512C2×C42—591no—
1513C2×C42—591no—
1514C2×C42—591no—
1515C2×C42—591no—
1516C2×C42C22×D5911yescharacteristic
1517C24—24no—
1518C24—24no—
1519C24—24no—
1520C24—42no—
1521C24—42no—
1522C24—42no—
1523C24—591no—
1524C24C23×D5911yescharacteristic
1525C24C23×D5911yescharacteristic
1526C24C23×D5911yescharacteristic
1527C24C23×D5911yescharacteristic
1528C24C23×D5914yes—
1529C24C23×D5911yescharacteristic
1530C24C23×D5911yescharacteristic
1531C24C23×D5914yes—
1532#41—416no—
1533#41—23616no—
1534#41—23616no—
1535C2×Q8—42no—
1536C2×Q8—594no—
1537C2×Q8—594no—
1538C2×Q8—594no—
1539C2×Q8—594no—
1540C2×Q8—594no—
1541C2×Q8—594no—
1542C2×Q8—594no—
1543C2×Q8—594no—
1544C2×Q8—2362no—
1545C2×Q8—2362no—
1546C2×Q8—2362no—
1547C2×Q8—2362no—
1548C2×Q8—23616no—
1549C2×Q8—2362no—
1550C2×Q8—2362no—
1551C2×Q8—2362no—
1552C2×Q8—2362no—
1553C2×Q8C23×D5914yes—
1554C2×D4—24no—
1555C2×D4—24no—
1556C2×D4—24no—
1557C2×D4—24no—
1558C2×D4—42no—
1559C2×D4—42no—
1560C2×D4—42no—
1561C2×D4—42no—
1562C2×D4—42no—
1563C2×D4—416no—
1564C2×D4—594no—
1565C2×D4—594no—
1566C2×D4—594no—
1567C2×D4—594no—
1568C2×D4—594no—
1569C2×D4—594no—
1570C2×D4—1184no—
1571C2×D4—1184no—
1572C2×D4—2362no—
1573C2×D4—2362no—
1574C2×D4—2362no—
1575C2×D4—2362no—
1576C2×D4C23×D5914yes—
1577C2×D4C23×D5914yes—
1578C2×D4C23×D5914yes—
1579C2×D4C23×D5914yes—
1580C2×D4C23×D5914yes—
1581C2×D4C23×D5914yes—
1582C2×D4C23×D5914yes—
1583C2×D4C23×D5914yes—
1584C2×D4C23×D5914yes—
1585C22×C4—24no—
1586C22×C4—42no—
1587C22×C4—42no—
1588C22×C4—42no—
1589C22×C4—42no—
1590C22×C4—42no—
1591C22×C4—594no—
1592C22×C4—594no—
1593C22×C4—594no—
1594C22×C4—594no—
1595C22×C4—591no—
1596C22×C4—591no—
1597C22×C4—591no—
1598C22×C4—591no—
1599C22×C4—591no—
1600C22×C4—591no—
1601C22×C4—591no—
1602C22×C4—591no—
1603C22×C4—591no—
1604C22×C4—591no—
1605C22×C4—591no—
1606C22×C4—591no—
1607C22×C4—591no—
1608C22×C4—591no—
1609C22×C4—591no—
1610C22×C4—594no—
1611C22×C4—594no—
1612C22×C4—594no—
1613C22×C4—594no—
1614C22×C4—594no—
1615C22×C4—594no—
1616C22×C4—594no—
1617C22×C4—594no—
1618C22×C4—594no—
1619C22×C4—594no—
1620C22×C4—594no—
1621C22×C4—594no—
1622C22×C4—594no—
1623C22×C4—1184no—
1624C22×C4—1184no—
1625C22×C4—1184no—
1626C22×C4—1184no—
1627C22×C4—2362no—
1628C22×C4—2362no—
1629C22×C4—2362no—
1630C22×C4—2362no—
1631C22×C4—2362no—
1632C22×C4—2362no—
1633C22×C4—2362no—
1634C22×C4—23616no—
1635C22×C4—2362no—
1636C22×C4—2362no—
1637C22×C4—2362no—
1638C22×C4—2362no—
1639C22×C4—2362no—
1640C22×C4—2362no—
1641C22×C4C23×D5914yes—
1642C22×C4C23×D5911yescharacteristic
1643C22×C4C23×D5911yescharacteristic
1644C22×C4C23×D5911yescharacteristic
1645C22×C4C23×D5911yescharacteristic
1646C22×C4C23×D5911yescharacteristic
1647C22×C4C23×D5911yescharacteristic
1648C22×C4C23×D5911yescharacteristic
1649C22×C4C23×D5911yescharacteristic
1650C22×C4C23×D5911yescharacteristic
1651C22×C4C23×D5914yes—
1652C22×C4C23×D5914yes—
1653C22×C4C23×D5914yes—
1654C22×C4C23×D5914yes—
1655C22×C4C23×D5914yes—
1656C4⋊C4—594no—
1657C4⋊C4—594no—
1658C4⋊C4—594no—
1659C4⋊C4—594no—
1660C4⋊C4—594no—
1661C4⋊C4—594no—
1662C4⋊C4—594no—
1663C4⋊C4—594no—
1664C4⋊C4—594no—
1665C4⋊C4—594no—
1666C4⋊C4—594no—
1667C4⋊C4—594no—
1668C4⋊C4—594no—
1669C4⋊C4—594no—
1670C4⋊C4—594no—
1671C4⋊C4—594no—
1672C4⋊C4—594no—
1673C4⋊C4—594no—
1674C4⋊C4—594no—
1675C4⋊C4—594no—
1676C4⋊C4—594no—
1677C4⋊C4—594no—
1678C4⋊C4—594no—
1679C4⋊C4—594no—
1680C4⋊C4—594no—
1681C4⋊C4—594no—
1682C4⋊C4—594no—
1683C4⋊C4—594no—
1684C4⋊C4—594no—
1685C4⋊C4—594no—
1686C4⋊C4—594no—
1687C4⋊C4—594no—
1688C4⋊C4—594no—
1689C4⋊C4—594no—
1690C4⋊C4—594no—
1691C4⋊C4—594no—
1692C4⋊C4—594no—
1693C4⋊C4—594no—
1694C4⋊C4—594no—
1695C4⋊C4—594no—
1696C4⋊C4—594no—
1697C4⋊C4—594no—
1698C4⋊C4—594no—
1699C4⋊C4—594no—
1700C4⋊C4—594no—
1701C4⋊C4—594no—
1702C4⋊C4C23×D5914yes—
1703C4⋊C4C23×D5914yes—
1704C4⋊C4C23×D5914yes—
1705C4⋊C4C23×D5914yes—
1706C22⋊C4—594no—
1707C22⋊C4—594no—
1708C22⋊C4—594no—
1709C22⋊C4—594no—
1710C22⋊C4—594no—
1711C22⋊C4—594no—
1712C22⋊C4—594no—
1713C22⋊C4—594no—
1714C22⋊C4—594no—
1715C22⋊C4—594no—
1716C22⋊C4—594no—
1717C22⋊C4—594no—
1718C22⋊C4—594no—
1719C22⋊C4—594no—
1720C22⋊C4—594no—
1721C22⋊C4—594no—
1722C22⋊C4—594no—
1723C22⋊C4—594no—
1724C22⋊C4—594no—
1725C22⋊C4—594no—
1726C22⋊C4—594no—
1727C22⋊C4—594no—
1728C22⋊C4—594no—
1729C22⋊C4—594no—
1730C22⋊C4—594no—
1731C22⋊C4—594no—
1732C22⋊C4—594no—
1733C22⋊C4—594no—
1734C22⋊C4—594no—
1735C22⋊C4—594no—
1736C22⋊C4—594no—
1737C22⋊C4—594no—
1738C22⋊C4—594no—
1739C22⋊C4—594no—
1740C22⋊C4C23×D5914yes—
1741C22⋊C4C23×D5914yes—
1742C22⋊C4C23×D5914yes—
1743C22⋊C4C23×D5914yes—
1744C22⋊C4C23×D5914yes—
1745C22⋊C4C23×D5914yes—
1746C22⋊C4C23×D5914yes—
1747C22⋊C4C23×D5914yes—
1748C22⋊C4C23×D5914yes—
1749C22⋊C4C23×D5914yes—
1750C22⋊C4C23×D5914yes—
1751C22⋊C4C23×D5914yes—
1752C42—594no—
1753C42—594no—
1754C42—594no—
1755C42—594no—
1756C42—594no—
1757C42—594no—
1758C42—594no—
1759C42—594no—
1760C42—594no—
1761C42C23×D5914yes—
1762C23—22no—
1763C23—22no—
1764C23—22no—
1765C23—22no—
1766C23—22no—
1767C23—22no—
1768C23—28no—
1769C23—22no—
1770C23—22no—
1771C23—22no—
1772C23—28no—
1773C23—22no—
1774C23—22no—
1775C23—22no—
1776C23—22no—
1777C23—22no—
1778C23—22no—
1779C23—22no—
1780C23—28no—
1781C23—44no—
1782C23—44no—
1783C23—44no—
1784C23—416no—
1785C23—88no—
1786C23—592no—
1787C23—1182no—
1788C23—1182no—
1789C23—1182no—
1790C23#1427377214yes—
1791C23#1427377414yes—
1792C23C24×D5912yes—
1793C23C24×D5912yes—
1794C23C24×D5912yes—
1795C23C24×D5912yes—
1796C23C24×D5912yes—
1797C23C24×D5912yes—
1798C23C24×D5911yescharacteristic
1799Q8—44no—
1800Q8—2364no—
1801Q8—2364no—
1802Q8—2364no—
1803Q8—2364no—
1804Q8—2364no—
1805Q8—2364no—
1806Q8—2364no—
1807Q8—2364no—
1808D4—28no—
1809D4—28no—
1810D4—28no—
1811D4—28no—
1812D4—44no—
1813D4—44no—
1814D4—44no—
1815D4—44no—
1816D4—44no—
1817D4—1188no—
1818D4—1188no—
1819D4—2364no—
1820D4—2364no—
1821D4—2364no—
1822D4—2364no—
1823C2×C4—22no—
1824C2×C4—22no—
1825C2×C4—28no—
1826C2×C4—22no—
1827C2×C4—22no—
1828C2×C4—22no—
1829C2×C4—22no—
1830C2×C4—22no—
1831C2×C4—22no—
1832C2×C4—22no—
1833C2×C4—44no—
1834C2×C4—44no—
1835C2×C4—44no—
1836C2×C4—44no—
1837C2×C4—44no—
1838C2×C4—592no—
1839C2×C4—592no—
1840C2×C4—592no—
1841C2×C4—592no—
1842C2×C4—592no—
1843C2×C4—592no—
1844C2×C4—592no—
1845C2×C4—592no—
1846C2×C4—592no—
1847C2×C4—592no—
1848C2×C4—592no—
1849C2×C4—592no—
1850C2×C4—592no—
1851C2×C4—592no—
1852C2×C4—592no—
1853C2×C4—1182no—
1854C2×C4—1182no—
1855C2×C4—1188no—
1856C2×C4—1182no—
1857C2×C4—1182no—
1858C2×C4—1182no—
1859C2×C4—1188no—
1860C2×C4—1182no—
1861C2×C4—1188no—
1862C2×C4—1182no—
1863C2×C4—1188no—
1864C2×C4—1182no—
1865C2×C4—1182no—
1866C2×C4—1182no—
1867C2×C4—1182no—
1868C2×C4—1182no—
1869C2×C4—1182no—
1870C2×C4—1182no—
1871C2×C4—1182no—
1872C2×C4—2364no—
1873C2×C4—2364no—
1874C2×C4—2364no—
1875C2×C4—2364no—
1876C2×C4—2364no—
1877C2×C4—2364no—
1878C2×C4—2364no—
1879C2×C4—2364no—
1880C2×C4—2364no—
1881C2×C4—2364no—
1882C2×C4—2364no—
1883C2×C4—2364no—
1884C2×C4—2364no—
1885C2×C4C24×D5912yes—
1886C2×C4C24×D5912yes—
1887C2×C4C24×D5912yes—
1888C2×C4C24×D5912yes—
1889C2×C4C24×D5912yes—
1890C2×C4C24×D5912yes—
1891C2×C4C24×D5912yes—
1892C2×C4C24×D5912yes—
1893C2×C4C24×D5912yes—
1894C22—28no—
1895C22—28no—
1896C22—22no—
1897C22—22no—
1898C22—22no—
1899C22—22no—
1900C22—22no—
1901C22—22no—
1902C22—22no—
1903C22—22no—
1904C22—22no—
1905C22—22no—
1906C22—22no—
1907C22—22no—
1908C22—22no—
1909C22—22no—
1910C22—22no—
1911C22—22no—
1912C22—416no—
1913C22—44no—
1914C22—44no—
1915C22—44no—
1916C22—44no—
1917C22—88no—
1918C22—1182no—
1919C22—1182no—
1920C22—1182no—
1921C22—2364no—
1922C22C2×#1427377214yes—
1923C22C2×#1427377212yes—
1924C22C2×#1427377414yes—
1925C22C2×#1427377412yes—
1926C22#1683823712yes—
1927C22C25×D5911yescharacteristic
1928C4—22no—
1929C4—22no—
1930C4—22no—
1931C4—22no—
1932C4—22no—
1933C4—22no—
1934C4—22no—
1935C4—22no—
1936C4—22no—
1937C4—1182no—
1938C4—1182no—
1939C4—1182no—
1940C4—1182no—
1941C4—1182no—
1942C4—1182no—
1943C4—1182no—
1944C4—1182no—
1945C4—1182no—
1946C4—1182no—
1947C4—1182no—
1948C4—1182no—
1949C4—1182no—
1950C4—1182no—
1951C4—1182no—
1952C2—24no—
1953C2—24no—
1954C2—42no—
1955C2—42no—
1956C2—42no—
1957C2—42no—
1958C2—2362no—
1959C2#2143829314yesdirect product factor
1960C2C22×#1427377211yescharacteristic
1961C2C22×#1427377411yescharacteristic
1962C2C2×#1683823711yescharacteristic
subgroupG/H
centerC23C24×D59
commutator, cosocleC22×C59C26
FrattiniC22C25×D59
FittingC2×C59×#546C2
socleC23×C59C25
hypercenterC2×#546D59
hypocenterC59C2×#3535
LCSG ▷ C22×C59 ▷ C59
UCSC1 ◁ C23 ◁ C2×#546

Complements

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

NH ≅ G/Ntype
1. #21438293C2direct (N × H)
2. C2×#16838155C2semidirect
3. C2×#16838152C2semidirect
4. C2×#16838147C2semidirect
5. C2×#16838147C2semidirect
6. C2×#16838111C2semidirect
7. C2×#16838106C2semidirect
8. C2×#16838092C2semidirect
9. C2×#16838089C2semidirect
10. C2×#16838083C2semidirect
11. C2×#16838083C2semidirect
12. C2×#16838078C2semidirect
13. C2×#16838078C2semidirect
14. C2×#16838052C2semidirect
15. C2×#16838051C2semidirect
16. C2×#16838046C2semidirect
17. C2×#16838031C2semidirect
18. C2×#16838028C2semidirect
19. C2×#16838019C2semidirect
20. C2×#16838016C2semidirect
21. C2×#16837997C2semidirect
22. C2×#16837997C2semidirect
23. C2×#16837995C2semidirect
24. C2×#16837994C2semidirect
25. C2×#16837994C2semidirect
26. C2×#16837987C2semidirect
27. C2×#16837974C2semidirect
28. C2×#16837973C2semidirect
29. C2×#16837908C2semidirect
30. C22×#14273708C2semidirect
31. C22×#14273704C2semidirect
32. C2×C59×#546C2semidirect
34. C22×#11745687C22semidirect
35. C23×Dic118C22semidirect
37. #16838155C22semidirect
38. #16838152C22semidirect
39. #16838147C22semidirect
40. #16838147C22semidirect
41. #16838111C22semidirect
42. #16838106C22semidirect
43. #16838092C22semidirect
44. #16838089C22semidirect
45. #16838083C22semidirect
46. #16838083C22semidirect
47. #16838078C22semidirect
48. #16838078C22semidirect
49. #16838052C22semidirect
50. #16838051C22semidirect
51. #16838046C22semidirect
52. #16838031C22semidirect
53. #16838028C22semidirect
54. #16838019C22semidirect
55. #16838016C22semidirect
56. #16837997C22semidirect
57. #16837997C22semidirect
58. #16837995C22semidirect
59. #16837994C22semidirect
60. #16837994C22semidirect
61. #16837987C22semidirect
62. #16837974C22semidirect
63. #16837973C22semidirect
64. C2×#14273726C22semidirect
65. C2×#14273726C22semidirect
66. C2×#14273726C22semidirect
67. C2×#14273725C22semidirect
68. C2×#14273725C22semidirect
69. C2×#14273725C22semidirect
70. C2×#14273721C22semidirect
71. C2×#14273720C22semidirect
72. C2×#14273720C22semidirect
73. C2×#14273720C22semidirect
74. C2×#14273720C22semidirect
75. C2×#14273720C22semidirect
76. C2×#14273720C22semidirect
77. C2×#14273720C22semidirect
78. C2×#14273720C22semidirect
79. C2×#14273720C22semidirect
80. C2×#14273720C22semidirect
81. C2×#14273720C22semidirect
82. C2×#14273719C22semidirect
83. C2×#14273719C22semidirect
84. C2×#14273718C22semidirect
85. C2×#14273717C22semidirect
86. C2×#14273717C22semidirect
87. C2×#14273717C22semidirect
88. C2×#14273717C22semidirect
89. C2×#14273717C22semidirect
90. C2×#14273717C22semidirect
91. C2×#14273717C22semidirect
93. C2×#14273714C22semidirect
94. C2×#14273714C22semidirect
95. C2×#14273714C22semidirect
96. C2×#14273713C22semidirect
97. C2×#14273713C22semidirect
98. C2×#14273713C22semidirect
99. #16837908C22semidirect
101. C2×#14273711C22semidirect
102. C2×#14273710C22semidirect
103. C2×#14273710C22semidirect
104. C2×#14273710C22semidirect
105. C2×#14273709C22semidirect
106. C2×#14273709C22semidirect
107. C2×#14273709C22semidirect
108. C2×#14273709C22semidirect
120. C2×#14273708C22semidirect
121. C2×#14273708C22semidirect
122. C2×#14273708C22semidirect
123. C2×#14273708C22semidirect
124. C2×#14273708C22semidirect
125. C2×#14273708C22semidirect
126. C2×#14273708C22semidirect
128. C2×#14273706C22semidirect
129. C2×#14273706C22semidirect
130. C2×#14273706C22semidirect
131. C2×#14273706C22semidirect
132. C2×#14273706C22semidirect
133. C2×#14273706C22semidirect
134. C2×#14273706C22semidirect
135. C2×#14273706C22semidirect
136. C2×#14273705C22semidirect
137. C2×#14273705C22semidirect
138. C2×#14273705C22semidirect
146. C2×#14273704C22semidirect
147. C2×#14273704C22semidirect
148. C2×#14273704C22semidirect
149. C2×#14273704C22semidirect
150. C2×#14273704C22semidirect
151. C2×#14273704C22semidirect
152. C2×#14273704C22semidirect
153. C2×#14273704C22semidirect
154. C2×#14273704C22semidirect
155. C2×#14273704C22semidirect
156. C2×#14273704C22semidirect
157. C2×#14273704C22semidirect
158. C2×#14273704C22semidirect
159. C2×#14273704C22semidirect
160. C2×#14273703C22semidirect
164. C2×#14273699C22semidirect
165. C2×#14273699C22semidirect
167. C2×#14273698C22semidirect
170. C2×C4×Dic118C22semidirect
171. C2×#14273692C22semidirect
175. C2×D4×Dic59C22semidirect
176. C2×D4×Dic59C22semidirect
177. C2×D4×Dic59C22semidirect
179. C2×C4×C22⋊D59C22semidirect
180. C2×C4×C22⋊D59C22semidirect
183. C2×(C22⋊D59)⋊C4C22semidirect
184. C2×#14273686C22semidirect
185. C2×#14273686C22semidirect
188. C2×#14273683C22semidirect
189. C2×#14273683C22semidirect
190. C2×#14273683C22semidirect
191. C22×C4⋊Dic59C22semidirect
194. C22×Dic59⋊C4C22semidirect
195. C22×Dic59⋊C4C22semidirect
196. C22×Dic59⋊C4C22semidirect
197. C2×C4⋊C4×D59C22semidirect
205. C59×#546C22semidirect
222. C2×#11745687C23semidirect
232. C22×Dic118C23semidirect
258. #14273726C23semidirect
259. #14273726C23semidirect
260. #14273726C23semidirect
261. #14273725C23semidirect
262. #14273725C23semidirect
263. #14273725C23semidirect
264. #14273721C23semidirect
265. #14273720C23semidirect
266. #14273720C23semidirect
267. #14273720C23semidirect
268. #14273720C23semidirect
269. #14273720C23semidirect
270. #14273720C23semidirect
271. #14273720C23semidirect
272. #14273720C23semidirect
273. #14273720C23semidirect
274. #14273720C23semidirect
275. #14273720C23semidirect
276. #14273719C23semidirect
277. #14273719C23semidirect
278. #14273718C23semidirect
279. #14273717C23semidirect
280. #14273717C23semidirect
281. #14273717C23semidirect
282. #14273717C23semidirect
283. #14273717C23semidirect
284. #14273717C23semidirect
285. #14273717C23semidirect
287. #14273714C23semidirect
288. #14273714C23semidirect
289. #14273714C23semidirect
290. #14273713C23semidirect
291. #14273713C23semidirect
292. #14273713C23semidirect
294. #14273711C23semidirect
295. #14273710C23semidirect
296. #14273710C23semidirect
297. #14273710C23semidirect
298. #14273709C23semidirect
299. #14273709C23semidirect
300. #14273709C23semidirect
301. #14273709C23semidirect
313. #14273708C23semidirect
314. #14273708C23semidirect
315. #14273708C23semidirect
316. #14273708C23semidirect
317. #14273708C23semidirect
318. #14273708C23semidirect
320. #14273706C23semidirect
321. #14273706C23semidirect
322. #14273706C23semidirect
323. #14273706C23semidirect
324. #14273706C23semidirect
325. #14273706C23semidirect
326. #14273706C23semidirect
327. #14273706C23semidirect
328. #14273705C23semidirect
329. #14273705C23semidirect
330. #14273705C23semidirect
338. #14273704C23semidirect
339. #14273704C23semidirect
340. #14273704C23semidirect
341. #14273704C23semidirect
342. #14273704C23semidirect
343. #14273704C23semidirect
344. #14273704C23semidirect
345. #14273704C23semidirect
346. #14273704C23semidirect
347. #14273704C23semidirect
348. #14273704C23semidirect
349. #14273704C23semidirect
350. #14273704C23semidirect
351. #14273703C23semidirect
355. #14273699C23semidirect
356. #14273699C23semidirect
358. #14273698C23semidirect
361. C4×Dic118C23semidirect
362. #14273692C23semidirect
366. D4×Dic59C23semidirect
367. D4×Dic59C23semidirect
368. D4×Dic59C23semidirect
370. C4×C22⋊D59C23semidirect
371. C4×C22⋊D59C23semidirect
374. (C22⋊D59)⋊C4C23semidirect
375. #14273686C23semidirect
376. #14273686C23semidirect
379. #14273683C23semidirect
380. #14273683C23semidirect
381. #14273683C23semidirect
394. C2×C4⋊Dic59C23semidirect
431. C2×Dic59⋊C4C23semidirect
432. C2×Dic59⋊C4C23semidirect
433. C2×Dic59⋊C4C23semidirect
434. C4⋊C4×D59C23semidirect
987. C2×#546D59semidirect
1009. C2×C59#3535semidirect
1035. #546C2×D59semidirect
1200. C59C2×#3535semidirect
1959. C2#21438293direct (N × H)

Maximal subgroups

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

subgroupindex
#214382932
C2×#168381552
C2×#168381522
C2×#168381472
C2×#168381112
C2×#168381062
C2×#168380922
C2×#168380892
C2×#168380832
C2×#168380782
C2×#168380522
C2×#168380512
C2×#168380462
C2×#168380312
C2×#168380282
C2×#168380192
C2×#168380162
C2×#168379972
C2×#168379952
C2×#168379942
C2×#168379872
C2×#168379742
C2×#168379732
C2×#168379082
C22×#142737082
C22×#142737042
C2×C59×#5462
C2×#353559