Finite Group Databasebeta

← C2×#21438315 #29495905

Subgroups — C2×#21438315 #29495905

Order 15104.

7962 conjugacy classes of subgroups.

The subgroup lattice has 2088 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438315C2132yesmaximal, direct product factor
2C2×#16838149C211yesmaximal, characteristic, complemented
3C2×#16838148C211yesmaximal, characteristic, complemented
4C2×#16838147C211yesmaximal, characteristic, complemented
5C2×#16838108C211yesmaximal, characteristic, complemented
6C2×#16838106C211yesmaximal, characteristic, complemented
7C2×#16838062C211yesmaximal, characteristic, complemented
8C2×#16838060C211yesmaximal, characteristic, complemented
9C2×#16838054C211yesmaximal, characteristic, complemented
10C2×#16838050C211yesmaximal, characteristic, complemented
11C2×#16838049C211yesmaximal, characteristic, complemented
12C2×#16838045C211yesmaximal, characteristic, complemented
13C2×#16838044C211yesmaximal, characteristic, complemented
14C2×#16838044C211yesmaximal, characteristic, complemented
15C2×#16838041C211yesmaximal, characteristic, complemented
16C2×#16838041C211yesmaximal, characteristic, complemented
17C2×#16838027C211yesmaximal, characteristic, complemented
18C2×#16838027C211yesmaximal, characteristic, complemented
19C2×#16838020C211yesmaximal, characteristic, complemented
20C2×#16838016C211yesmaximal, characteristic, complemented
21C2×#16838000C211yesmaximal, characteristic, complemented
22C2×#16837995C211yesmaximal, characteristic, complemented
23C2×#16837988C211yesmaximal, characteristic, complemented
24C2×#16837986C211yesmaximal, characteristic, complemented
25C2×#16837982C211yesmaximal, characteristic, complemented
26C2×#16837981C211yesmaximal, characteristic, complemented
27C2×#16837981C211yesmaximal, characteristic, complemented
28C2×#16837979C211yesmaximal, characteristic, complemented
29C2×#16837910C211yesmaximal, characteristic, complemented
30C2×C22⋊Q8×D59C211yesmaximal, characteristic, complemented
31C2×#121×D59C211yesmaximal, characteristic, complemented
32C2×C59×#562C211yesmaximal, characteristic, complemented
33C22×#11745689C2211yescharacteristic, complemented
34C22×#11745685C2211yescharacteristic, complemented
35C22×#11745685C2211yescharacteristic, complemented
36C22×#11745685C2211yescharacteristic, complemented
37C22×#11745687C2211yescharacteristic, complemented
38C22×#11745687C2211yescharacteristic, complemented
39C22×#11745687C2211yescharacteristic, complemented
40C22×Q8×D59C2211yescharacteristic, complemented
41C22×D4×D59C2211yescharacteristic
42C22×D4×D59C2211yescharacteristic
43C22×D4×D59C2211yescharacteristic
44C23×C4×D59C2211yescharacteristic
45#16838149C22116yescomplemented
46#16838148C22116yescomplemented
47#16838147C22116yescomplemented
48#16838108C22116yescomplemented
49#16838106C22116yescomplemented
50#16838062C22116yescomplemented
51#16838060C22116yescomplemented
52#16838054C22116yescomplemented
53#16838050C22116yescomplemented
54#16838049C22116yescomplemented
55#16838045C22116yescomplemented
56#16838044C22116yescomplemented
57#16838044C22116yescomplemented
58#16838041C22116yescomplemented
59#16838041C22116yescomplemented
60#16838027C22116yescomplemented
61#16838027C22116yescomplemented
62#16838020C22116yescomplemented
63#16838016C22116yescomplemented
64#16838000C22116yescomplemented
65#16837995C22116yescomplemented
66#16837988C22116yescomplemented
67#16837986C22116yescomplemented
68#16837982C22116yescomplemented
69#16837981C22116yescomplemented
70#16837981C22116yescomplemented
71#16837979C22116yescomplemented
72C2×#14273726C2211yescharacteristic, complemented
73C2×#14273725C2211yescharacteristic, complemented
74C2×#14273722C2211yescharacteristic, complemented
75C2×#14273721C2211yescharacteristic, complemented
76C2×#14273720C2211yescharacteristic, complemented
77C2×#14273720C2211yescharacteristic, complemented
78C2×#14273718C2211yescharacteristic, complemented
79C2×#14273717C2211yescharacteristic, complemented
80C2×#14273717C2211yescharacteristic, complemented
81C2×#14273716C2211yescharacteristic, complemented
82C2×#14273714C2211yescharacteristic, complemented
83C2×#14273713C2211yescharacteristic, complemented
84C2×#14273713C2211yescharacteristic, complemented
85C2×#14273713C2211yescharacteristic, complemented
86C2×#14273713C2211yescharacteristic, complemented
87C2×#14273713C2211yescharacteristic, complemented
88C2×#14273713C2211yescharacteristic, complemented
89#16837910C22116yescomplemented
90C2×#14273712C2211yescharacteristic, complemented
91C2×#14273712C2211yescharacteristic, complemented
92C2×#14273712C2211yescharacteristic, complemented
93C2×#14273712C2211yescharacteristic, complemented
94C2×#14273712C2211yescharacteristic, complemented
95C2×#14273711C2211yescharacteristic, complemented
96C2×#14273710C2211yescharacteristic, complemented
97C2×#14273709C2211yescharacteristic, complemented
98C2×#14273709C2211yescharacteristic, complemented
99C2×#14273709C2211yescharacteristic, complemented
100C2×#14273709C2211yescharacteristic, complemented
101C2×#14273709C2211yescharacteristic, complemented
102C2×#14273708C2211yescharacteristic, complemented
103C2×#14273708C2211yescharacteristic, complemented
104C2×#14273707C2211yescharacteristic
105C2×#14273707C2211yescharacteristic
106C2×#14273707C2211yescharacteristic, complemented
107C2×#14273707C2211yescharacteristic, complemented
108C2×#14273707C2211yescharacteristic, complemented
109C2×#14273706C2211yescharacteristic, complemented
110C2×#14273706C2211yescharacteristic, complemented
111C2×#14273706C2211yescharacteristic, complemented
112C2×#14273705C2211yescharacteristic
113C2×#14273705C2211yescharacteristic
114C2×#14273705C2211yescharacteristic
115C2×#14273705C2211yescharacteristic
116C2×#14273705C2211yescharacteristic
117C2×#14273705C2211yescharacteristic, complemented
118C2×#14273705C2211yescharacteristic, complemented
119C2×#14273705C2211yescharacteristic, complemented
120C2×#14273705C2211yescharacteristic, complemented
121C2×#14273705C2211yescharacteristic, complemented
122C2×#14273705C2211yescharacteristic, complemented
123C2×#14273705C2211yescharacteristic, complemented
124C2×#14273704C2211yescharacteristic, complemented
125C2×#14273704C2211yescharacteristic, complemented
126C2×#14273704C2211yescharacteristic, complemented
127C2×#14273704C2211yescharacteristic, complemented
128C2×#14273704C2211yescharacteristic, complemented
129C2×#14273704C2211yescharacteristic, complemented
130C2×#14273704C2211yescharacteristic, complemented
131C2×#14273704C2211yescharacteristic, complemented
132C2×#14273703C2211yescharacteristic
133C2×#14273703C2211yescharacteristic
134C2×#14273703C2211yescharacteristic, complemented
135C2×#14273703C2211yescharacteristic, complemented
136C22⋊Q8×D59C22116yescomplemented
137C2×#14273702C2211yescharacteristic
138C2×#14273702C2211yescharacteristic, complemented
139C2×#14273702C2211yescharacteristic, complemented
140C2×#14273701C2211yescharacteristic
141C2×#14273701C2211yescharacteristic, complemented
142C2×#14273700C2211yescharacteristic
143C2×#14273700C2211yescharacteristic
144C2×#14273700C2211yescharacteristic
145C2×#14273700C2211yescharacteristic, complemented
146C2×#14273700C2211yescharacteristic, complemented
147C2×#14273700C2211yescharacteristic, complemented
148C2×#14273700C2211yescharacteristic, complemented
149C2×#14273700C2211yescharacteristic, complemented
150C2×#14273700C2211yescharacteristic, complemented
151C2×#14273700C2211yescharacteristic, complemented
152C2×#14273700C2211yescharacteristic, complemented
153C2×#14273699C2211yescharacteristic
154C2×#14273699C2211yescharacteristic
155C2×#14273699C2211yescharacteristic, complemented
156C2×#14273699C2211yescharacteristic, complemented
157C2×#14273699C2211yescharacteristic, complemented
158C2×#14273699C2211yescharacteristic, complemented
159C2×#14273699C2211yescharacteristic, complemented
160C2×#14273698C2211yescharacteristic
161C2×#14273698C2211yescharacteristic, complemented
162C2×#14273698C2211yescharacteristic, complemented
163C2×#14273698C2211yescharacteristic, complemented
164C2×#14273698C2211yescharacteristic, complemented
165#121×D59C22116yescomplemented
166C2×#14273697C2211yescharacteristic
167C2×#14273697C2211yescharacteristic
168C2×#14273697C2211yescharacteristic
169C2×#14273695C2211yescharacteristic
170C2×#14273695C2211yescharacteristic
171C2×#14273695C2211yescharacteristic
172C2×C4×Dic118C2211yescharacteristic, complemented
173C2×#14273692C2211yescharacteristic, complemented
174C2×C4×D236C2211yescharacteristic
175C2×C4×D236C2211yescharacteristic, complemented
176C2×#14273689C2211yescharacteristic
177C2×#14273689C2211yescharacteristic
178C2×#14273689C2211yescharacteristic, complemented
179C2×#14273689C2211yescharacteristic, complemented
180C2×C4×C22⋊D59C2211yescharacteristic
181C2×C4×C22⋊D59C2211yescharacteristic, complemented
182C2×C4×C22⋊D59C2211yescharacteristic, complemented
183C2×(C22⋊D59)⋊C4C2211yescharacteristic
184C2×(C22⋊D59)⋊C4C2211yescharacteristic
185C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
186C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
187C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
188C2×#14273683C2211yescharacteristic, complemented
189C22×Dic59⋊C4C2211yescharacteristic, complemented
190C2×C4⋊C4×D59C2211yescharacteristic
191C2×C4⋊C4×D59C2211yescharacteristic, complemented
192C2×C4⋊C4×D59C2211yescharacteristic, complemented
193C2×C4⋊C4×D59C2211yescharacteristic, complemented
194C2×C4⋊C4×D59C2211yescharacteristic, complemented
195C22×(C2×D59)⋊C4C2211yescharacteristic
196C22×(C2×D59)⋊C4C2211yescharacteristic
197C2×C22⋊C4×D59C2211yescharacteristic
198C2×C22⋊C4×D59C2211yescharacteristic
199C2×C22⋊C4×D59C2211yescharacteristic
200C2×C22⋊C4×D59C2211yescharacteristic
201C2×C22⋊C4×D59C2211yescharacteristic
202C2×C22⋊C4×D59C2211yescharacteristic
203C59×#562C22116yescomplemented
204C2×#125×C59C2211yescharacteristic, complemented
205C2×#124×C59C2211yescharacteristic, complemented
206C2×#124×C59C2211yescharacteristic, complemented
207C2×#123×C59C2211yescharacteristic, complemented
208C2×#123×C59C2211yescharacteristic, complemented
209C2×#123×C59C2211yescharacteristic, complemented
210C2×#123×C59C2211yescharacteristic, complemented
211C2×C22⋊Q8×C59C2211yescharacteristic, complemented
212C2×C22⋊Q8×C59C2211yescharacteristic, complemented
213C2×C22⋊Q8×C59C2211yescharacteristic, complemented
214C2×C22⋊Q8×C59C2211yescharacteristic, complemented
215C2×#121×C59C2211yescharacteristic
216C2×#121×C59C2211yescharacteristic, complemented
217C2×#121×C59C2211yescharacteristic, complemented
218C2×#121×C59C2211yescharacteristic, complemented
219C24×D59C2311yescharacteristic
220C24×D59C2311yescharacteristic
221C24×D59C2311yescharacteristic
222C2×#11745689—44no—
223C2×#11745689C2318yescomplemented
224C2×#11745685—44no—
225C2×#11745685—44no—
226C2×#11745685—44no—
227C2×#11745685C2318yescomplemented
228C2×#11745685C2318yescomplemented
229C2×#11745685C2318yescomplemented
230C2×#11745687—44no—
231C2×#11745687—44no—
232C2×#11745687—44no—
233C2×#11745687C2318yescomplemented
234C2×#11745687C2318yescomplemented
235C2×#11745687C2318yescomplemented
236C22×Dic118C2311yescharacteristic
237C22×Dic118C2311yescharacteristic
238C22×Dic118C2311yescharacteristic
239C22×Dic118C2311yescharacteristic
240C22×Dic118C2311yescharacteristic
241C22×Dic118C2311yescharacteristic
242C22×Dic118C2311yescharacteristic
243C2×Q8×D59—44no—
244C2×Q8×D59C2318yescomplemented
245C22×D236C2311yescharacteristic
246C22×D236C2311yescharacteristic
247C22×D236C2311yescharacteristic
248C22×D236C2311yescharacteristic
249C22×D236C2311yescharacteristic
250C22×D236C2311yescharacteristic
251C22×D236C2311yescharacteristic
252C22×C22⋊D59C2311yescharacteristic
253C22×C22⋊D59C2311yescharacteristic
254C22×C22⋊D59C2311yescharacteristic
255C22×C22⋊D59C2311yescharacteristic
256C22×C22⋊D59C2311yescharacteristic
257C22×C22⋊D59C2311yescharacteristic
258C22×C22⋊D59C2311yescharacteristic
259C22×C22⋊D59C2311yescharacteristic
260C22×C22⋊D59C2311yescharacteristic
261C22×C22⋊D59C2311yescharacteristic
262C22×C22⋊D59C2311yescharacteristic
263C22×C22⋊D59C2311yescharacteristic
264C22×C22⋊D59C2311yescharacteristic
265C22×C22⋊D59C2311yescharacteristic
266C2×D4×D59—44no—
267C2×D4×D59—44no—
268C2×D4×D59—44no—
269C2×D4×D59C2318yes—
270C2×D4×D59C2318yes—
271C2×D4×D59C2318yes—
272C23×Dic59C2311yescharacteristic
273C23×Dic59C2311yescharacteristic
274C23×Dic59C2311yescharacteristic
275C23×Dic59C2311yescharacteristic
276C23×Dic59C2311yescharacteristic
277C22×C4×D59—44no—
278C22×C4×D59C2311yescharacteristic
279C22×C4×D59C2311yescharacteristic
280C22×C4×D59C2311yescharacteristic
281C22×C4×D59C2311yescharacteristic
282C22×C4×D59C2311yescharacteristic
283C22×C4×D59C2318yes—
284C22×C4×D59C2311yescharacteristic
285C22×C4×D59C2311yescharacteristic
286C22×C4×D59C2311yescharacteristic
287C22×C4×D59C2311yescharacteristic
288C22×C4×D59C2311yescharacteristic
289C22×C4×D59C2311yescharacteristic
290C22×C4×D59C2311yescharacteristic
291C22×C4×D59C2311yescharacteristic
292C22×C4×D59C2311yescharacteristic
293C22×C4×D59C2311yescharacteristic
294C22×C4×D59C2311yescharacteristic
295C22×C4×D59C2311yescharacteristic
296#14273726C2318yescomplemented
297#14273725C2318yescomplemented
298#14273722C2318yescomplemented
299#14273721C2318yescomplemented
300#14273720C2318yescomplemented
301#14273720C2318yescomplemented
302#14273718C2318yescomplemented
303#14273717C2318yescomplemented
304#14273717C2318yescomplemented
305#14273716C2318yescomplemented
306#14273714C2318yescomplemented
307#14273713C2318yescomplemented
308#14273713C2318yescomplemented
309#14273713C2318yescomplemented
310#14273713C2318yescomplemented
311#14273713C2318yescomplemented
312#14273713C2318yescomplemented
313#14273712C2318yescomplemented
314#14273712C2318yescomplemented
315#14273712C2318yescomplemented
316#14273712C2318yescomplemented
317#14273712C2318yescomplemented
318#14273711C2318yescomplemented
319#14273710C2318yescomplemented
320#14273709C2318yescomplemented
321#14273709C2318yescomplemented
322#14273709C2318yescomplemented
323#14273709C2318yescomplemented
324#14273709C2318yescomplemented
325#14273708C2318yescomplemented
326#14273708C2318yescomplemented
327#14273707C2318yes—
328#14273707C2318yes—
329#14273707C2318yescomplemented
330#14273707C2318yescomplemented
331#14273707C2318yescomplemented
332#14273706C2318yescomplemented
333#14273706C2318yescomplemented
334#14273706C2318yescomplemented
335#14273705C2318yes—
336#14273705C2318yes—
337#14273705C2318yes—
338#14273705C2318yes—
339#14273705C2318yes—
340#14273705C2318yescomplemented
341#14273705C2318yescomplemented
342#14273705C2318yescomplemented
343#14273705C2318yescomplemented
344#14273705C2318yescomplemented
345#14273705C2318yescomplemented
346#14273705C2318yescomplemented
347#14273704C2318yescomplemented
348#14273704C2318yescomplemented
349#14273704C2318yescomplemented
350#14273704C2318yescomplemented
351#14273704C2318yescomplemented
352#14273704C2318yescomplemented
353#14273704C2318yescomplemented
354#14273704C2318yescomplemented
355#14273703C2318yes—
356#14273703C2318yes—
357#14273703C2318yescomplemented
358#14273703C2318yescomplemented
359#14273702C2318yes—
360#14273702C2318yescomplemented
361#14273702C2318yescomplemented
362#14273701C2318yes—
363#14273701C2318yescomplemented
364#14273700C2318yes—
365#14273700C2318yes—
366#14273700C2318yes—
367#14273700C2318yescomplemented
368#14273700C2318yescomplemented
369#14273700C2318yescomplemented
370#14273700C2318yescomplemented
371#14273700C2318yescomplemented
372#14273700C2318yescomplemented
373#14273700C2318yescomplemented
374#14273700C2318yescomplemented
375#14273699C2318yes—
376#14273699C2318yes—
377#14273699C2318yescomplemented
378#14273699C2318yescomplemented
379#14273699C2318yescomplemented
380#14273699C2318yescomplemented
381#14273699C2318yescomplemented
382#14273698C2318yes—
383#14273698C2318yescomplemented
384#14273698C2318yescomplemented
385#14273698C2318yescomplemented
386#14273698C2318yescomplemented
387#14273697C2318yes—
388#14273697C2318yes—
389#14273697C2318yes—
390#14273695C2318yes—
391#14273695C2318yes—
392#14273695C2318yes—
393C4×Dic118C2318yescomplemented
394#14273692C2318yescomplemented
395C4×D236C2318yes—
396C4×D236C2318yescomplemented
397#14273689C2318yes—
398#14273689C2318yes—
399#14273689C2318yescomplemented
400#14273689C2318yescomplemented
401C4×C22⋊D59C2318yes—
402C4×C22⋊D59C2318yescomplemented
403C4×C22⋊D59C2318yescomplemented
404(C22⋊D59)⋊C4C2318yes—
405(C22⋊D59)⋊C4C2318yes—
406(C22⋊D59)⋊C4C2318yescomplemented
407(C22⋊D59)⋊C4C2318yescomplemented
408(C22⋊D59)⋊C4C2318yescomplemented
409#14273683C2318yescomplemented
410C2×C4⋊Dic59C2311yescharacteristic
411C2×C4⋊Dic59C2311yescharacteristic
412C2×C4⋊Dic59C2311yescharacteristic
413C2×C4⋊Dic59C2311yescharacteristic
414C2×C4⋊Dic59C2311yescharacteristic
415C2×C4⋊Dic59C2311yescharacteristic
416C2×C4⋊Dic59C2311yescharacteristic
417C2×C4⋊Dic59C2311yescharacteristic
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⋊C4C2311yescharacteristic
430C2×Dic59⋊C4C2311yescharacteristic
431C2×Dic59⋊C4C2311yescharacteristic
432C2×Dic59⋊C4C2311yescharacteristic
433C2×Dic59⋊C4C2311yescharacteristic
434C2×Dic59⋊C4C2311yescharacteristic
435C2×Dic59⋊C4C2311yescharacteristic
436C2×Dic59⋊C4C2311yescharacteristic
437C2×Dic59⋊C4C2311yescharacteristic
438C2×Dic59⋊C4C2318yescomplemented
439C4⋊C4×D59C2318yes—
440C4⋊C4×D59C2318yescomplemented
441C4⋊C4×D59C2318yescomplemented
442C4⋊C4×D59C2318yescomplemented
443C4⋊C4×D59C2318yescomplemented
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⋊Dic59C2311yescharacteristic
453C2×C22⋊Dic59C2311yescharacteristic
454C2×(C2×D59)⋊C4C2311yescharacteristic
455C2×(C2×D59)⋊C4C2311yescharacteristic
456C2×(C2×D59)⋊C4C2311yescharacteristic
457C2×(C2×D59)⋊C4C2311yescharacteristic
458C2×(C2×D59)⋊C4C2311yescharacteristic
459C2×(C2×D59)⋊C4C2311yescharacteristic
460C2×(C2×D59)⋊C4C2311yescharacteristic
461C2×(C2×D59)⋊C4C2311yescharacteristic
462C2×(C2×D59)⋊C4C2311yescharacteristic
463C2×(C2×D59)⋊C4C2311yescharacteristic
464C2×(C2×D59)⋊C4C2311yescharacteristic
465C2×(C2×D59)⋊C4C2311yescharacteristic
466C2×(C2×D59)⋊C4C2311yescharacteristic
467C2×(C2×D59)⋊C4C2311yescharacteristic
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×(C2×D59)⋊C4C2311yescharacteristic
475C2×(C2×D59)⋊C4C2311yescharacteristic
476C2×(C2×D59)⋊C4C2311yescharacteristic
477C2×(C2×D59)⋊C4C2311yescharacteristic
478C2×(C2×D59)⋊C4C2318yes—
479C2×(C2×D59)⋊C4C2318yes—
480C22⋊C4×D59C2318yes—
481C22⋊C4×D59C2318yes—
482C22⋊C4×D59C2318yes—
483C22⋊C4×D59C2318yes—
484C22⋊C4×D59C2318yes—
485C22⋊C4×D59C2318yes—
486C2×C4×Dic59C2311yescharacteristic
487C2×C4×Dic59C2311yescharacteristic
488C2×C4×Dic59C2311yescharacteristic
489C2×C4×Dic59C2311yescharacteristic
490C2×C4×Dic59C2311yescharacteristic
491C22×Q8×C59C2311yescharacteristic
492C22×Q8×C59C2311yescharacteristic
493C22×D4×C59C2311yescharacteristic
494C22×D4×C59C2311yescharacteristic
495C22×D4×C59C2311yescharacteristic
496C22×D4×C59C2311yescharacteristic
497C22×D4×C59C2311yescharacteristic
498C22×D4×C59C2311yescharacteristic
499C23×C4×C59C2311yescharacteristic
500C23×C4×C59C2311yescharacteristic
501C23×C4×C59C2311yescharacteristic
502C23×C4×C59C2311yescharacteristic
503#125×C59C2318yescomplemented
504#124×C59C2318yescomplemented
505#124×C59C2318yescomplemented
506#123×C59C2318yescomplemented
507#123×C59C2318yescomplemented
508#123×C59C2318yescomplemented
509#123×C59C2318yescomplemented
510C22⋊Q8×C59C2318yescomplemented
511C22⋊Q8×C59C2318yescomplemented
512C22⋊Q8×C59C2318yescomplemented
513C22⋊Q8×C59C2318yescomplemented
514#121×C59C2318yes—
515#121×C59C2318yescomplemented
516#121×C59C2318yescomplemented
517#121×C59C2318yescomplemented
518C2×C4⋊C4×C59C2311yescharacteristic
519C2×C4⋊C4×C59C2311yescharacteristic
520C2×C4⋊C4×C59C2311yescharacteristic
521C2×C4⋊C4×C59C2311yescharacteristic
522C2×C4⋊C4×C59C2311yescharacteristic
523C2×C4⋊C4×C59C2311yescharacteristic
524C2×C4⋊C4×C59C2311yescharacteristic
525C2×C4⋊C4×C59C2311yescharacteristic
526C2×C4⋊C4×C59C2311yescharacteristic
527C2×C4⋊C4×C59C2311yescharacteristic
528C2×C22⋊C4×C59C2311yescharacteristic
529C2×C22⋊C4×C59C2311yescharacteristic
530C2×C22⋊C4×C59C2311yescharacteristic
531C2×C22⋊C4×C59C2311yescharacteristic
532C2×C22⋊C4×C59C2311yescharacteristic
533C2×C22⋊C4×C59C2311yescharacteristic
534C2×C22⋊C4×C59C2311yescharacteristic
535C2×C22⋊C4×C59C2311yescharacteristic
536C2×C22⋊C4×C59C2311yescharacteristic
537C2×C22⋊C4×C59C2311yescharacteristic
538C2×C22⋊C4×C59C2311yescharacteristic
539C2×C22⋊C4×C59C2311yescharacteristic
540C2×C42×C59C2311yescharacteristic
541C24×C59C2411yescharacteristic
542C24×C59C2411yescharacteristic
543C24×C59C2411yescharacteristic
544C24×C59C2411yescharacteristic
545C23×D59—24no—
546C23×D59—24no—
547C23×D59—24no—
548C23×D59—24no—
549C23×D59—42no—
550C23×D59—42no—
551C23×D59—42no—
552C23×D59—42no—
553C23×D59—42no—
554C23×D59C2411yescharacteristic
555C23×D59C2411yescharacteristic
556C23×D59C2411yescharacteristic
557C23×D59C2414yes—
558C23×D59C2411yescharacteristic
559C23×D59C2411yescharacteristic
560C23×D59C2414yes—
561C23×D59C2414yes—
562C2×Q8×C59—42no—
563C2×Q8×C59—42no—
564C2×Q8×C59C2414yes—
565C2×Q8×C59C2414yes—
566C2×D4×C59—42no—
567C2×D4×C59—42no—
568C2×D4×C59—42no—
569C2×D4×C59—42no—
570C2×D4×C59—42no—
571C2×D4×C59—42no—
572C2×D4×C59C2414yes—
573C2×D4×C59C2414yes—
574C2×D4×C59C2414yes—
575C2×D4×C59C2414yes—
576C2×D4×C59C2414yes—
577C2×D4×C59C2414yes—
578C22×C4×C59—42no—
579C22×C4×C59—42no—
580C22×C4×C59—42no—
581C22×C4×C59—42no—
582C22×C4×C59C2411yescharacteristic
583C22×C4×C59C2411yescharacteristic
584C22×C4×C59C2411yescharacteristic
585C22×C4×C59C2411yescharacteristic
586C22×C4×C59C2411yescharacteristic
587C22×C4×C59C2411yescharacteristic
588C22×C4×C59C2411yescharacteristic
589C22×C4×C59C2411yescharacteristic
590C22×C4×C59C2411yescharacteristic
591C22×C4×C59C2411yescharacteristic
592C22×C4×C59C2411yescharacteristic
593C22×C4×C59C2414yes—
594C22×C4×C59C2414yes—
595C22×C4×C59C2414yes—
596C22×C4×C59C2414yes—
597C2×C22⋊D59—24no—
598C2×C22⋊D59—24no—
599C2×C22⋊D59—24no—
600C2×C22⋊D59—24no—
601C2×C22⋊D59—24no—
602C2×C22⋊D59—24no—
603C2×C22⋊D59—42no—
604C2×C22⋊D59—42no—
605C2×C22⋊D59—42no—
606C2×C22⋊D59—42no—
607C2×C22⋊D59—42no—
608C2×C22⋊D59—42no—
609C2×C22⋊D59—42no—
610C2×C22⋊D59—42no—
611C2×C22⋊D59C2414yes—
612C2×C22⋊D59C2414yes—
613C2×C22⋊D59C2414yes—
614C2×C22⋊D59C2414yes—
615C2×C22⋊D59C2414yes—
616C2×C22⋊D59C2414yes—
617C2×C22⋊D59C2414yes—
618C2×C22⋊D59C2414yes—
619C2×C22⋊D59C2414yes—
620C2×C22⋊D59C2414yes—
621C2×C22⋊D59C2414yes—
622C2×C22⋊D59C2414yes—
623C2×C22⋊D59C2414yes—
624C2×C22⋊D59C2414yes—
625C22×Dic59—24no—
626C22×Dic59—24no—
627C22×Dic59—42no—
628C22×Dic59—42no—
629C22×Dic59—42no—
630C22×Dic59C2411yescharacteristic
631C22×Dic59C2411yescharacteristic
632C22×Dic59C2411yescharacteristic
633C22×Dic59C2411yescharacteristic
634C22×Dic59C2411yescharacteristic
635C22×Dic59C2411yescharacteristic
636C22×Dic59C2411yescharacteristic
637C22×Dic59C2411yescharacteristic
638C22×Dic59C2411yescharacteristic
639C22×Dic59C2411yescharacteristic
640C22×Dic59C2414yes—
641C22×Dic59C2414yes—
642C22×Dic59C2414yes—
643C22×Dic59C2414yes—
644C22×Dic59C2414yes—
645C22×Dic59C2411yescharacteristic
646#11745689—416no—
647Q8×D59—416no—
648#11745687—416no—
649#11745687—416no—
650#11745687—416no—
651D4×D59—416no—
652D4×D59—416no—
653D4×D59—416no—
654#11745685—416no—
655#11745685—416no—
656#11745685—416no—
657C2×D236—24no—
658C2×D236—24no—
659C2×D236—24no—
660C2×D236—24no—
661C2×D236—42no—
662C2×D236—42no—
663C2×D236—42no—
664C2×D236C2414yes—
665C2×D236C2414yes—
666C2×D236C2414yes—
667C2×D236C2414yes—
668C2×D236C2414yes—
669C2×D236C2414yes—
670C2×D236C2414yes—
671C2×C4×D59—24no—
672C2×C4×D59—24no—
673C2×C4×D59—24no—
674C2×C4×D59—24no—
675C2×C4×D59—24no—
676C2×C4×D59—416no—
677C2×C4×D59—42no—
678C2×C4×D59—42no—
679C2×C4×D59—42no—
680C2×C4×D59—42no—
681C2×C4×D59—42no—
682C2×C4×D59—42no—
683C2×C4×D59—42no—
684C2×C4×D59—42no—
685C2×C4×D59—42no—
686C2×C4×D59—42no—
687C2×C4×D59—42no—
688C2×C4×D59—42no—
689C2×C4×D59C2414yes—
690C2×C4×D59C2414yes—
691C2×C4×D59C2414yes—
692C2×C4×D59C2414yes—
693C2×C4×D59C2414yes—
694C2×C4×D59C2414yes—
695C2×C4×D59C2414yes—
696C2×C4×D59C2414yes—
697C2×C4×D59C2414yes—
698C2×C4×D59C2414yes—
699C2×C4×D59C2414yes—
700C2×C4×D59C2414yes—
701C2×C4×D59C2414yes—
702C2×C4×D59C2414yes—
703C2×C4×D59C2414yes—
704C2×C4×D59C2414yes—
705C2×C4×D59C2414yes—
706C2×Dic118—24no—
707C2×Dic118—24no—
708C2×Dic118—42no—
709C2×Dic118—42no—
710C2×Dic118—42no—
711C2×Dic118—42no—
712C2×Dic118—42no—
713C2×Dic118C2414yes—
714C2×Dic118C2414yes—
715C2×Dic118C2414yes—
716C2×Dic118C2414yes—
717C2×Dic118C2414yes—
718C2×Dic118C2414yes—
719C2×Dic118C2414yes—
720C4⋊C4×C59C2414yes—
721C4⋊C4×C59C2414yes—
722C4⋊C4×C59C2414yes—
723C4⋊C4×C59C2414yes—
724C4⋊C4×C59C2414yes—
725C4⋊C4×C59C2414yes—
726C4⋊C4×C59C2414yes—
727C4⋊C4×C59C2414yes—
728C4⋊C4×C59C2414yes—
729C4⋊C4×C59C2414yes—
730C22⋊C4×C59C2414yes—
731C22⋊C4×C59C2414yes—
732C22⋊C4×C59C2414yes—
733C22⋊C4×C59C2414yes—
734C22⋊C4×C59C2414yes—
735C22⋊C4×C59C2414yes—
736C22⋊C4×C59C2414yes—
737C22⋊C4×C59C2414yes—
738C22⋊C4×C59C2414yes—
739C22⋊C4×C59C2414yes—
740C22⋊C4×C59C2414yes—
741C22⋊C4×C59C2414yes—
742C42×C59C2414yes—
743C22⋊Dic59C2414yes—
744C22⋊Dic59C2414yes—
745C22⋊Dic59C2414yes—
746C22⋊Dic59C2414yes—
747C22⋊Dic59C2414yes—
748C22⋊Dic59C2414yes—
749C22⋊Dic59C2414yes—
750C22⋊Dic59C2414yes—
751C22⋊Dic59C2414yes—
752C22⋊Dic59C2414yes—
753(C2×D59)⋊C4C2414yes—
754(C2×D59)⋊C4C2414yes—
755(C2×D59)⋊C4C2414yes—
756(C2×D59)⋊C4C2414yes—
757(C2×D59)⋊C4C2414yes—
758(C2×D59)⋊C4C2414yes—
759(C2×D59)⋊C4C2414yes—
760(C2×D59)⋊C4C2414yes—
761(C2×D59)⋊C4C2414yes—
762(C2×D59)⋊C4C2414yes—
763(C2×D59)⋊C4C2414yes—
764(C2×D59)⋊C4C2414yes—
765(C2×D59)⋊C4C2414yes—
766(C2×D59)⋊C4C2414yes—
767(C2×D59)⋊C4C2414yes—
768(C2×D59)⋊C4C2414yes—
769(C2×D59)⋊C4C2414yes—
770(C2×D59)⋊C4C2414yes—
771(C2×D59)⋊C4C2414yes—
772(C2×D59)⋊C4C2414yes—
773(C2×D59)⋊C4C2414yes—
774(C2×D59)⋊C4C2414yes—
775(C2×D59)⋊C4C2414yes—
776(C2×D59)⋊C4C2414yes—
777C4⋊Dic59C2414yes—
778C4⋊Dic59C2414yes—
779C4⋊Dic59C2414yes—
780C4⋊Dic59C2414yes—
781C4⋊Dic59C2414yes—
782C4⋊Dic59C2414yes—
783C4⋊Dic59C2414yes—
784C4⋊Dic59C2414yes—
785Dic59⋊C4C2414yes—
786Dic59⋊C4C2414yes—
787Dic59⋊C4C2414yes—
788Dic59⋊C4C2414yes—
789Dic59⋊C4C2414yes—
790Dic59⋊C4C2414yes—
791Dic59⋊C4C2414yes—
792Dic59⋊C4C2414yes—
793Dic59⋊C4C2414yes—
794Dic59⋊C4C2414yes—
795Dic59⋊C4C2414yes—
796Dic59⋊C4C2414yes—
797Dic59⋊C4C2414yes—
798Dic59⋊C4C2414yes—
799Dic59⋊C4C2414yes—
800Dic59⋊C4C2414yes—
801Dic59⋊C4C2414yes—
802Dic59⋊C4C2414yes—
803Dic59⋊C4C2414yes—
804Dic59⋊C4C2414yes—
805C4×Dic59C2414yes—
806C4×Dic59C2414yes—
807C4×Dic59C2414yes—
808C4×Dic59C2414yes—
809C4×Dic59C2414yes—
810C23×C59—22no—
811C23×C59—22no—
812C23×C59—22no—
813C23×C59—22no—
814C23×C59—22no—
815C23×C59—22no—
816C23×C59—22no—
817C23×C59—22no—
818C23×C59—22no—
819C23×C59—22no—
820C23×C59—22no—
821C23×C59—22no—
822C23×C59C2512yes—
823C23×C59C2512yes—
824C23×C59C2512yes—
825C23×C59C2512yes—
826C23×C59C2511yescharacteristic
827C22×D59—22no—
828C22×D59—22no—
829C22×D59—22no—
830C22×D59—22no—
831C22×D59—22no—
832C22×D59—22no—
833C22×D59—22no—
834C22×D59—22no—
835C22×D59—22no—
836C22×D59—22no—
837C22×D59—22no—
838C22×D59—22no—
839C22×D59—22no—
840C22×D59—28no—
841C22×D59—28no—
842C22×D59—28no—
843C22×D59—28no—
844C22×D59—44no—
845C22×D59—416no—
846C22×D59—44no—
847C22×D59—44no—
848C22×D59—44no—
849C22×D59—44no—
850C22×D59—88no—
851C22×D59—88no—
852C22×D59H(5,𝔽2)14yes—
853C22×D592−1+414yes—
854C22×D59C2512yes—
855C22×D59C2512yes—
856C22×D59C2512yes—
857C22×D59C2512yes—
858C22×D59C2512yes—
859Q8×C59—44no—
860Q8×C59—44no—
861D4×C59—44no—
862D4×C59—44no—
863D4×C59—44no—
864D4×C59—44no—
865D4×C59—44no—
866D4×C59—44no—
867C2×C4×C59—22no—
868C2×C4×C59—22no—
869C2×C4×C59—22no—
870C2×C4×C59—22no—
871C2×C4×C59—22no—
872C2×C4×C59—22no—
873C2×C4×C59—22no—
874C2×C4×C59—22no—
875C2×C4×C59—22no—
876C2×C4×C59—22no—
877C2×C4×C59—22no—
878C2×C4×C59—44no—
879C2×C4×C59—44no—
880C2×C4×C59—44no—
881C2×C4×C59—44no—
882C2×C4×C59C2512yes—
883C2×C4×C59C2512yes—
884C2×C4×C59C2512yes—
885C2×C4×C59C2512yes—
886C2×C4×C59C2512yes—
887C2×C4×C59C2512yes—
888C2×C4×C59C2512yes—
889C2×C4×C59C2512yes—
890C2×C4×C59C2512yes—
891C2×C4×C59C2512yes—
892C2×C4×C59C2512yes—
893C22⋊D59—28no—
894C22⋊D59—28no—
895C22⋊D59—28no—
896C22⋊D59—28no—
897C22⋊D59—28no—
898C22⋊D59—28no—
899C22⋊D59—44no—
900C22⋊D59—44no—
901C22⋊D59—44no—
902C22⋊D59—44no—
903C22⋊D59—44no—
904C22⋊D59—44no—
905C22⋊D59—44no—
906C22⋊D59—44no—
907C2×Dic59—22no—
908C2×Dic59—22no—
909C2×Dic59—22no—
910C2×Dic59—22no—
911C2×Dic59—22no—
912C2×Dic59—22no—
913C2×Dic59—22no—
914C2×Dic59—22no—
915C2×Dic59—22no—
916C2×Dic59—22no—
917C2×Dic59—28no—
918C2×Dic59—28no—
919C2×Dic59—44no—
920C2×Dic59—44no—
921C2×Dic59—44no—
922C2×Dic59H(5,𝔽2)14yes—
923C2×Dic59C2512yes—
924C2×Dic59C2512yes—
925C2×Dic59C2512yes—
926C2×Dic59C2512yes—
927C2×Dic59C2512yes—
928C2×Dic59C2512yes—
929C2×Dic59C2512yes—
930C2×Dic59C2512yes—
931C2×Dic59C2512yes—
932C2×Dic59C2512yes—
933C2×Dic59C2512yes—
934D236—28no—
935D236—28no—
936D236—28no—
937D236—28no—
938D236—44no—
939D236—44no—
940D236—44no—
941C4×D59—28no—
942C4×D59—28no—
943C4×D59—28no—
944C4×D59—28no—
945C4×D59—28no—
946C4×D59—44no—
947C4×D59—44no—
948C4×D59—44no—
949C4×D59—44no—
950C4×D59—44no—
951C4×D59—44no—
952C4×D59—44no—
953C4×D59—44no—
954C4×D59—44no—
955C4×D59—44no—
956C4×D59—44no—
957C4×D59—44no—
958Dic118—28no—
959Dic118—28no—
960Dic118—44no—
961Dic118—44no—
962Dic118—44no—
963Dic118—44no—
964Dic118—44no—
965C2×#3536—591nomaximal, Sylow
966C22×C59—22no—
967C22×C59—22no—
968C22×C59—22no—
969C22×C59—22no—
970C22×C59—22no—
971C22×C59—22no—
972C22×C59—22no—
973C22×C59—22no—
974C22×C59—22no—
975C22×C59—22no—
976C22×C59—22no—
977C22×C59—22no—
978C22×C59—44no—
979C22×C59—44no—
980C22×C59—44no—
981C22×C59—44no—
982C22×C59C2×H(5,𝔽2)12yes—
983C22×C59C2×H(5,𝔽2)12yes—
984C22×C59C2×2−1+412yes—
985C22×C59C2611yescharacteristic
986C2×D59—22no—
987C2×D59—22no—
988C2×D59—22no—
989C2×D59—22no—
990C2×D59—28no—
991C2×D59—28no—
992C2×D59—22no—
993C2×D59—22no—
994C2×D59—22no—
995C2×D59—22no—
996C2×D59—22no—
997C2×D59—22no—
998C2×D59—22no—
999C2×D59—22no—
1000C2×D59—22no—
1001C2×D59—416no—
1002C2×D59—44no—
1003C2×D59—44no—
1004C2×D59—44no—
1005C2×D59—88no—
1006C2×D59—88no—
1007C2×D59C2×H(5,𝔽2)14yes—
1008C2×D59C2×2−1+414yes—
1009C4×C59—22no—
1010C4×C59—22no—
1011C4×C59—22no—
1012C4×C59—22no—
1013C4×C59—22no—
1014C4×C59—22no—
1015C4×C59—22no—
1016C4×C59—22no—
1017C4×C59—22no—
1018C4×C59—22no—
1019C4×C59—22no—
1020Dic59—22no—
1021Dic59—22no—
1022Dic59—22no—
1023Dic59—22no—
1024Dic59—22no—
1025Dic59—22no—
1026Dic59—22no—
1027Dic59—22no—
1028Dic59—22no—
1029Dic59—22no—
1030Dic59C2×H(5,𝔽2)14yes—
1031#3536—5932no—
1032C2×#562—591no—
1033C2×#562—591no—
1034C2×#562—591no—
1035C2×#562D5911yescharacteristic, complemented
1036C2×#554—591no—
1037C2×#554—591no—
1038C2×#548—591no—
1039C2×#548—591no—
1040C2×#547—591no—
1041C2×#547—591no—
1042C2×#546—591no—
1043C2×#546—591no—
1044C2×#546—591no—
1045C2×#546—591no—
1046C2×#546—591no—
1047C2×#546—591no—
1048C2×#543—591no—
1049C2×#543—591no—
1050C2×#542—591no—
1051C2×#542—591no—
1052C2×#539—591no—
1053C2×#539—591no—
1054C2×#538—591no—
1055C2×#538—591no—
1056C2×#537—591no—
1057C2×#537—591no—
1058C2×#537—591no—
1059C2×#537—591no—
1060C2×#525—591no—
1061C22×C22⋊Q8—591no—
1062C22×#121—591no—
1063C2×C59—42no—
1064C2×C59—42no—
1065C2×C59—42no—
1066C2×C59—42no—
1067C2×C59#353614yescomplemented
1068C2×C59C22×H(5,𝔽2)11yescharacteristic
1069C2×C59C22×H(5,𝔽2)11yescharacteristic
1070C2×C59C22×2−1+411yescharacteristic
1071D59—24no—
1072D59—24no—
1073D59—42no—
1074D59—42no—
1075D59—42no—
1076C22×#41—591no—
1077C22×#41—591no—
1078C22×#41—591no—
1079C22×#41—591no—
1080C22×#41—591no—
1081C22×#41—591no—
1082C22×#41—591no—
1083C23×Q8—591no—
1084C23×D4—591no—
1085C23×D4—591no—
1086C23×D4—591no—
1087C24×C4—591no—
1088#562—5916no—
1089#562—5916no—
1090#562—5916no—
1091#562C2×D59116yescomplemented
1092#554—5916no—
1093#554—5916no—
1094#548—5916no—
1095#548—5916no—
1096#547—5916no—
1097#547—5916no—
1098#546—5916no—
1099#546—5916no—
1100#546—5916no—
1101#546—5916no—
1102#546—5916no—
1103#546—5916no—
1104#543—5916no—
1105#543—5916no—
1106#542—5916no—
1107#542—5916no—
1108#539—5916no—
1109#539—5916no—
1110#538—5916no—
1111#538—5916no—
1112#537—5916no—
1113#537—5916no—
1114#537—5916no—
1115#537—5916no—
1116C2×C4⋊Q8—591no—
1117C2×C4⋊Q8—591no—
1118C2×#126—591no—
1119C2×#126—591no—
1120C2×#126—591no—
1121C2×#126—591no—
1122C2×#125—591no—
1123C2×#125—591no—
1124C2×#125—591no—
1125C2×#125C2×D5911yescharacteristic, complemented
1126C2×#124—591no—
1127C2×#124—591no—
1128C2×#124—591no—
1129C2×#124—591no—
1130C2×#124—591no—
1131C2×#124—591no—
1132C2×#124—591no—
1133C2×#124—591no—
1134C2×#124C2×D5911yescharacteristic, complemented
1135C2×#124C2×D5911yescharacteristic, complemented
1136#525—5916no—
1137C2×#123—591no—
1138C2×#123—591no—
1139C2×#123—591no—
1140C2×#123—591no—
1141C2×#123—591no—
1142C2×#123—591no—
1143C2×#123—591no—
1144C2×#123—591no—
1145C2×#123—591no—
1146C2×#123—591no—
1147C2×#123—591no—
1148C2×#123—591no—
1149C2×#123—591no—
1150C2×#123—591no—
1151C2×#123C2×D5911yescharacteristic, complemented
1152C2×#123C2×D5911yescharacteristic, complemented
1153C2×#123C2×D5911yescharacteristic, complemented
1154C2×#123C2×D5911yescharacteristic, complemented
1155C2×C22⋊Q8—591no—
1156C2×C22⋊Q8—591no—
1157C2×C22⋊Q8—591no—
1158C2×C22⋊Q8—591no—
1159C2×C22⋊Q8—591no—
1160C2×C22⋊Q8—591no—
1161C2×C22⋊Q8—591no—
1162C2×C22⋊Q8—5916no—
1163C2×C22⋊Q8—591no—
1164C2×C22⋊Q8—591no—
1165C2×C22⋊Q8—591no—
1166C2×C22⋊Q8—591no—
1167C2×C22⋊Q8—591no—
1168C2×C22⋊Q8—591no—
1169C2×C22⋊Q8—591no—
1170C2×C22⋊Q8—591no—
1171C2×C22⋊Q8—591no—
1172C2×C22⋊Q8—591no—
1173C2×C22⋊Q8—591no—
1174C2×C22⋊Q8—591no—
1175C2×C22⋊Q8—591no—
1176C2×C22⋊Q8—591no—
1177C2×C22⋊Q8—591no—
1178C2×C22⋊Q8—591no—
1179C2×C22⋊Q8—591no—
1180C2×C22⋊Q8—591no—
1181C2×C22⋊Q8—591no—
1182C2×C22⋊Q8—591no—
1183C2×C22⋊Q8—591no—
1184C2×C22⋊Q8—591no—
1185C2×C22⋊Q8—591no—
1186C2×C22⋊Q8—591no—
1187C2×C22⋊Q8—591no—
1188C2×C22⋊Q8C2×D5911yescharacteristic, complemented
1189C2×C22⋊Q8C2×D5911yescharacteristic, complemented
1190C2×C22⋊Q8C2×D5911yescharacteristic, complemented
1191C2×C22⋊Q8C2×D5911yescharacteristic, complemented
1192C2×#121—591no—
1193C2×#121—591no—
1194C2×#121—591no—
1195C2×#121—591no—
1196C2×#121—591no—
1197C2×#121—591no—
1198C2×#121—591no—
1199C2×#121—591no—
1200C2×#121—591no—
1201C2×#121—591no—
1202C2×#121—591no—
1203C2×#121—591no—
1204C2×#121—591no—
1205C2×#121—591no—
1206C2×#121—5916no—
1207C2×#121—591no—
1208C2×#121—591no—
1209C2×#121—591no—
1210C2×#121—591no—
1211C2×#121—591no—
1212C2×#121—591no—
1213C2×#121—591no—
1214C2×#121—591no—
1215C2×#121—591no—
1216C2×#121—591no—
1217C2×#121—591no—
1218C2×#121—591no—
1219C2×#121—591no—
1220C2×#121—591no—
1221C2×#121C2×D5911yescharacteristic
1222C2×#121C2×D5911yescharacteristic, complemented
1223C2×#121C2×D5911yescharacteristic, complemented
1224C2×#121C2×D5911yescharacteristic, complemented
1225C2×#120—591no—
1226C2×#120—591no—
1227C2×#120—591no—
1228C2×#120—591no—
1229C2×#120—591no—
1230C2×#120—591no—
1231C2×C4×Q8—591no—
1232C2×C4×Q8—591no—
1233C2×C4×D4—591no—
1234C2×C4×D4—591no—
1235C2×C4×D4—591no—
1236C2×C4×D4—591no—
1237C2×C4×D4—591no—
1238C2×C4×D4—591no—
1239C2×C4×D4—591no—
1240C2×C4×D4—591no—
1241C2×C4×D4—591no—
1242C2×C4×D4—591no—
1243C2×C4×D4—591no—
1244C2×C4×D4—591no—
1245C2×C4×D4—591no—
1246C2×C4×D4—591no—
1247C2×#117—591no—
1248C22×C4⋊C4—591no—
1249C22×C4⋊C4—591no—
1250C22×C4⋊C4—591no—
1251C22×C4⋊C4—591no—
1252C22×C4⋊C4—591no—
1253C22×C4⋊C4—591no—
1254C22×C22⋊C4—591no—
1255C22×C22⋊C4—591no—
1256C22×C22⋊C4—591no—
1257C22×C22⋊C4—591no—
1258C22×C22⋊C4—591no—
1259C22×C22⋊C4—591no—
1260C22×C22⋊C4—591no—
1261C22×C22⋊C4—591no—
1262C59C2×#353611yescharacteristic, complemented, Sylow
1263C25—591no—
1264C25—591no—
1265C25—591no—
1266C2×#41—598no—
1267C2×#41—598no—
1268C2×#41—598no—
1269C2×#41—598no—
1270C2×#41—598no—
1271C2×#41—598no—
1272C2×#41—598no—
1273C2×#41—2364no—
1274C2×#41—2364no—
1275C2×#41—2364no—
1276C2×#41—2364no—
1277C2×#41—2364no—
1278C2×#41—2364no—
1279C2×#41—2364no—
1280C22×Q8—598no—
1281C22×Q8—591no—
1282C22×Q8—591no—
1283C22×Q8—591no—
1284C22×Q8—591no—
1285C22×Q8—591no—
1286C22×Q8—591no—
1287C22×Q8—591no—
1288C22×Q8—2364no—
1289C22×Q8C22×D5911yescharacteristic
1290C22×Q8C22×D5911yescharacteristic
1291C22×D4—591no—
1292C22×D4—591no—
1293C22×D4—591no—
1294C22×D4—591no—
1295C22×D4—591no—
1296C22×D4—591no—
1297C22×D4—591no—
1298C22×D4—591no—
1299C22×D4—591no—
1300C22×D4—591no—
1301C22×D4—591no—
1302C22×D4—591no—
1303C22×D4—591no—
1304C22×D4—591no—
1305C22×D4—598no—
1306C22×D4—598no—
1307C22×D4—598no—
1308C22×D4—591no—
1309C22×D4—591no—
1310C22×D4—591no—
1311C22×D4—591no—
1312C22×D4—591no—
1313C22×D4—591no—
1314C22×D4—591no—
1315C22×D4—2364no—
1316C22×D4—2364no—
1317C22×D4—2364no—
1318C22×D4C22×D5911yescharacteristic
1319C22×D4C22×D5911yescharacteristic
1320C22×D4C22×D5911yescharacteristic
1321C22×D4C22×D5911yescharacteristic
1322C22×D4C22×D5911yescharacteristic
1323C22×D4C22×D5911yescharacteristic
1324C23×C4—591no—
1325C23×C4—591no—
1326C23×C4—591no—
1327C23×C4—591no—
1328C23×C4—591no—
1329C23×C4—591no—
1330C23×C4—591no—
1331C23×C4—591no—
1332C23×C4—591no—
1333C23×C4—591no—
1334C23×C4—591no—
1335C23×C4—591no—
1336C23×C4—591no—
1337C23×C4—591no—
1338C23×C4—591no—
1339C23×C4—591no—
1340C23×C4—591no—
1341C23×C4—591no—
1342C23×C4—591no—
1343C23×C4—591no—
1344C23×C4—591no—
1345C23×C4—591no—
1346C23×C4—598no—
1347C23×C4—2364no—
1348C23×C4C22×D5911yescharacteristic
1349C23×C4C22×D5911yescharacteristic
1350C23×C4C22×D5911yescharacteristic
1351C23×C4C22×D5911yescharacteristic
1352C4⋊Q8—598no—
1353C4⋊Q8—598no—
1354#126—598no—
1355#126—598no—
1356#126—598no—
1357#126—598no—
1358#125—598no—
1359#125—598no—
1360#125—598no—
1361#125C22×D5918yescomplemented
1362#124—598no—
1363#124—598no—
1364#124—598no—
1365#124—598no—
1366#124—598no—
1367#124—598no—
1368#124—598no—
1369#124—598no—
1370#124C22×D5918yescomplemented
1371#124C22×D5918yescomplemented
1372#123—598no—
1373#123—598no—
1374#123—598no—
1375#123—598no—
1376#123—598no—
1377#123—598no—
1378#123—598no—
1379#123—598no—
1380#123—598no—
1381#123—598no—
1382#123—598no—
1383#123—598no—
1384#123—598no—
1385#123—598no—
1386#123C22×D5918yescomplemented
1387#123C22×D5918yescomplemented
1388#123C22×D5918yescomplemented
1389#123C22×D5918yescomplemented
1390C22⋊Q8—598no—
1391C22⋊Q8—598no—
1392C22⋊Q8—598no—
1393C22⋊Q8—598no—
1394C22⋊Q8—598no—
1395C22⋊Q8—598no—
1396C22⋊Q8—598no—
1397C22⋊Q8—598no—
1398C22⋊Q8—598no—
1399C22⋊Q8—598no—
1400C22⋊Q8—598no—
1401C22⋊Q8—598no—
1402C22⋊Q8—598no—
1403C22⋊Q8—598no—
1404C22⋊Q8—598no—
1405C22⋊Q8—598no—
1406C22⋊Q8—598no—
1407C22⋊Q8—598no—
1408C22⋊Q8—598no—
1409C22⋊Q8—598no—
1410C22⋊Q8—598no—
1411C22⋊Q8—598no—
1412C22⋊Q8—598no—
1413C22⋊Q8—598no—
1414C22⋊Q8—598no—
1415C22⋊Q8—598no—
1416C22⋊Q8—598no—
1417C22⋊Q8—598no—
1418C22⋊Q8—598no—
1419C22⋊Q8—598no—
1420C22⋊Q8—598no—
1421C22⋊Q8—598no—
1422C22⋊Q8C22×D5918yescomplemented
1423C22⋊Q8C22×D5918yescomplemented
1424C22⋊Q8C22×D5918yescomplemented
1425C22⋊Q8C22×D5918yescomplemented
1426#121—598no—
1427#121—598no—
1428#121—598no—
1429#121—598no—
1430#121—598no—
1431#121—598no—
1432#121—598no—
1433#121—598no—
1434#121—598no—
1435#121—598no—
1436#121—598no—
1437#121—598no—
1438#121—598no—
1439#121—598no—
1440#121—598no—
1441#121—598no—
1442#121—598no—
1443#121—598no—
1444#121—598no—
1445#121—598no—
1446#121—598no—
1447#121—598no—
1448#121—598no—
1449#121—598no—
1450#121—598no—
1451#121—598no—
1452#121—598no—
1453#121—598no—
1454#121C22×D5918yes—
1455#121C22×D5918yescomplemented
1456#121C22×D5918yescomplemented
1457#121C22×D5918yescomplemented
1458#120—598no—
1459#120—598no—
1460#120—598no—
1461#120—598no—
1462#120—598no—
1463#120—598no—
1464C4×Q8—598no—
1465C4×Q8—598no—
1466C4×D4—598no—
1467C4×D4—598no—
1468C4×D4—598no—
1469C4×D4—598no—
1470C4×D4—598no—
1471C4×D4—598no—
1472C4×D4—598no—
1473C4×D4—598no—
1474C4×D4—598no—
1475C4×D4—598no—
1476C4×D4—598no—
1477C4×D4—598no—
1478C4×D4—598no—
1479C4×D4—598no—
1480#117—598no—
1481C2×C4⋊C4—591no—
1482C2×C4⋊C4—591no—
1483C2×C4⋊C4—591no—
1484C2×C4⋊C4—591no—
1485C2×C4⋊C4—591no—
1486C2×C4⋊C4—591no—
1487C2×C4⋊C4—591no—
1488C2×C4⋊C4—591no—
1489C2×C4⋊C4—591no—
1490C2×C4⋊C4—591no—
1491C2×C4⋊C4—591no—
1492C2×C4⋊C4—591no—
1493C2×C4⋊C4—591no—
1494C2×C4⋊C4—591no—
1495C2×C4⋊C4—591no—
1496C2×C4⋊C4—598no—
1497C2×C4⋊C4—591no—
1498C2×C4⋊C4—591no—
1499C2×C4⋊C4—591no—
1500C2×C4⋊C4—591no—
1501C2×C4⋊C4—591no—
1502C2×C4⋊C4—591no—
1503C2×C4⋊C4—591no—
1504C2×C4⋊C4—591no—
1505C2×C4⋊C4—591no—
1506C2×C4⋊C4—591no—
1507C2×C4⋊C4—591no—
1508C2×C4⋊C4—591no—
1509C2×C4⋊C4—591no—
1510C2×C4⋊C4—598no—
1511C2×C4⋊C4—598no—
1512C2×C4⋊C4—598no—
1513C2×C4⋊C4—598no—
1514C2×C4⋊C4—598no—
1515C2×C4⋊C4C22×D5911yescharacteristic
1516C2×C4⋊C4C22×D5911yescharacteristic
1517C2×C4⋊C4C22×D5911yescharacteristic
1518C2×C4⋊C4C22×D5911yescharacteristic
1519C2×C4⋊C4C22×D5911yescharacteristic
1520C2×C4⋊C4C22×D5911yescharacteristic
1521C2×C4⋊C4C22×D5911yescharacteristic
1522C2×C4⋊C4C22×D5911yescharacteristic
1523C2×C4⋊C4C22×D5911yescharacteristic
1524C2×C4⋊C4C22×D5911yescharacteristic
1525C2×C22⋊C4—591no—
1526C2×C22⋊C4—591no—
1527C2×C22⋊C4—591no—
1528C2×C22⋊C4—591no—
1529C2×C22⋊C4—591no—
1530C2×C22⋊C4—591no—
1531C2×C22⋊C4—591no—
1532C2×C22⋊C4—591no—
1533C2×C22⋊C4—591no—
1534C2×C22⋊C4—591no—
1535C2×C22⋊C4—591no—
1536C2×C22⋊C4—591no—
1537C2×C22⋊C4—591no—
1538C2×C22⋊C4—591no—
1539C2×C22⋊C4—591no—
1540C2×C22⋊C4—591no—
1541C2×C22⋊C4—591no—
1542C2×C22⋊C4—591no—
1543C2×C22⋊C4—591no—
1544C2×C22⋊C4—591no—
1545C2×C22⋊C4—591no—
1546C2×C22⋊C4—591no—
1547C2×C22⋊C4—591no—
1548C2×C22⋊C4—591no—
1549C2×C22⋊C4—598no—
1550C2×C22⋊C4—598no—
1551C2×C22⋊C4—591no—
1552C2×C22⋊C4—591no—
1553C2×C22⋊C4—591no—
1554C2×C22⋊C4—591no—
1555C2×C22⋊C4—591no—
1556C2×C22⋊C4—591no—
1557C2×C22⋊C4—591no—
1558C2×C22⋊C4—591no—
1559C2×C22⋊C4—591no—
1560C2×C22⋊C4—591no—
1561C2×C22⋊C4—598no—
1562C2×C22⋊C4—598no—
1563C2×C22⋊C4—598no—
1564C2×C22⋊C4—598no—
1565C2×C22⋊C4—598no—
1566C2×C22⋊C4—598no—
1567C2×C22⋊C4C22×D5911yescharacteristic
1568C2×C22⋊C4C22×D5911yescharacteristic
1569C2×C22⋊C4C22×D5911yescharacteristic
1570C2×C22⋊C4C22×D5911yescharacteristic
1571C2×C22⋊C4C22×D5911yescharacteristic
1572C2×C22⋊C4C22×D5911yescharacteristic
1573C2×C22⋊C4C22×D5911yescharacteristic
1574C2×C22⋊C4C22×D5911yescharacteristic
1575C2×C22⋊C4C22×D5911yescharacteristic
1576C2×C22⋊C4C22×D5911yescharacteristic
1577C2×C22⋊C4C22×D5911yescharacteristic
1578C2×C22⋊C4C22×D5911yescharacteristic
1579C2×C42—591no—
1580C2×C42—591no—
1581C2×C42—591no—
1582C2×C42—591no—
1583C2×C42—591no—
1584C2×C42C22×D5911yescharacteristic
1585C24—591no—
1586C24—591no—
1587C24—591no—
1588C24—591no—
1589C24—591no—
1590C24—594no—
1591C24—594no—
1592C24—594no—
1593C24—1184no—
1594C24—1184no—
1595C24—1184no—
1596C24—1184no—
1597C24—2362no—
1598C24—2362no—
1599C24—2362no—
1600C24—2362no—
1601C24—2362no—
1602C24C23×D5911yescharacteristic
1603C24C23×D5911yescharacteristic
1604C24C23×D5911yescharacteristic
1605C24C23×D5911yescharacteristic
1606#41—23616no—
1607#41—23616no—
1608#41—23616no—
1609#41—23616no—
1610#41—23616no—
1611#41—23616no—
1612#41—23616no—
1613C2×Q8—42no—
1614C2×Q8—42no—
1615C2×Q8—594no—
1616C2×Q8—594no—
1617C2×Q8—594no—
1618C2×Q8—594no—
1619C2×Q8—594no—
1620C2×Q8—594no—
1621C2×Q8—594no—
1622C2×Q8—1184no—
1623C2×Q8—1184no—
1624C2×Q8—2362no—
1625C2×Q8—2362no—
1626C2×Q8—2362no—
1627C2×Q8—2362no—
1628C2×Q8—2362no—
1629C2×Q8—23616no—
1630C2×Q8C23×D5914yes—
1631C2×Q8C23×D5914yes—
1632C2×D4—42no—
1633C2×D4—42no—
1634C2×D4—42no—
1635C2×D4—42no—
1636C2×D4—42no—
1637C2×D4—42no—
1638C2×D4—594no—
1639C2×D4—594no—
1640C2×D4—594no—
1641C2×D4—594no—
1642C2×D4—594no—
1643C2×D4—594no—
1644C2×D4—594no—
1645C2×D4—594no—
1646C2×D4—594no—
1647C2×D4—594no—
1648C2×D4—594no—
1649C2×D4—594no—
1650C2×D4—594no—
1651C2×D4—594no—
1652C2×D4—594no—
1653C2×D4—594no—
1654C2×D4—594no—
1655C2×D4—594no—
1656C2×D4—594no—
1657C2×D4—594no—
1658C2×D4—594no—
1659C2×D4—1184no—
1660C2×D4—1184no—
1661C2×D4—1184no—
1662C2×D4—1184no—
1663C2×D4—1184no—
1664C2×D4—1184no—
1665C2×D4—1184no—
1666C2×D4—1184no—
1667C2×D4—1184no—
1668C2×D4—1184no—
1669C2×D4—2362no—
1670C2×D4—2362no—
1671C2×D4—2362no—
1672C2×D4—23616no—
1673C2×D4—2362no—
1674C2×D4—2362no—
1675C2×D4—2362no—
1676C2×D4—2362no—
1677C2×D4—2362no—
1678C2×D4—2362no—
1679C2×D4—2362no—
1680C2×D4—2362no—
1681C2×D4—23616no—
1682C2×D4—23616no—
1683C2×D4C23×D5914yes—
1684C2×D4C23×D5914yes—
1685C2×D4C23×D5914yes—
1686C2×D4C23×D5914yes—
1687C2×D4C23×D5914yes—
1688C2×D4C23×D5914yes—
1689C22×C4—42no—
1690C22×C4—42no—
1691C22×C4—42no—
1692C22×C4—42no—
1693C22×C4—591no—
1694C22×C4—594no—
1695C22×C4—594no—
1696C22×C4—591no—
1697C22×C4—591no—
1698C22×C4—591no—
1699C22×C4—591no—
1700C22×C4—591no—
1701C22×C4—591no—
1702C22×C4—591no—
1703C22×C4—591no—
1704C22×C4—591no—
1705C22×C4—591no—
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—1184no—
1727C22×C4—1184no—
1728C22×C4—1184no—
1729C22×C4—1184no—
1730C22×C4—1184no—
1731C22×C4—1184no—
1732C22×C4—1184no—
1733C22×C4—2362no—
1734C22×C4—2362no—
1735C22×C4—2362no—
1736C22×C4—2362no—
1737C22×C4—2362no—
1738C22×C4—2362no—
1739C22×C4—2362no—
1740C22×C4—2362no—
1741C22×C4—2362no—
1742C22×C4—2362no—
1743C22×C4—2362no—
1744C22×C4—2362no—
1745C22×C4—23616no—
1746C22×C4—2362no—
1747C22×C4—2362no—
1748C22×C4—2362no—
1749C22×C4C23×D5911yescharacteristic
1750C22×C4C23×D5911yescharacteristic
1751C22×C4C23×D5911yescharacteristic
1752C22×C4C23×D5911yescharacteristic
1753C22×C4C23×D5911yescharacteristic
1754C22×C4C23×D5911yescharacteristic
1755C22×C4C23×D5911yescharacteristic
1756C22×C4C23×D5911yescharacteristic
1757C22×C4C23×D5911yescharacteristic
1758C22×C4C23×D5911yescharacteristic
1759C22×C4C23×D5911yescharacteristic
1760C22×C4C23×D5914yes—
1761C22×C4C23×D5914yes—
1762C22×C4C23×D5914yes—
1763C22×C4C23×D5914yes—
1764C4⋊C4—594no—
1765C4⋊C4—594no—
1766C4⋊C4—594no—
1767C4⋊C4—594no—
1768C4⋊C4—594no—
1769C4⋊C4—594no—
1770C4⋊C4—594no—
1771C4⋊C4—594no—
1772C4⋊C4—594no—
1773C4⋊C4—594no—
1774C4⋊C4—594no—
1775C4⋊C4—594no—
1776C4⋊C4—594no—
1777C4⋊C4—594no—
1778C4⋊C4—594no—
1779C4⋊C4—594no—
1780C4⋊C4—594no—
1781C4⋊C4—594no—
1782C4⋊C4—594no—
1783C4⋊C4—594no—
1784C4⋊C4—594no—
1785C4⋊C4—594no—
1786C4⋊C4—594no—
1787C4⋊C4—594no—
1788C4⋊C4—594no—
1789C4⋊C4—594no—
1790C4⋊C4—594no—
1791C4⋊C4—594no—
1792C4⋊C4C23×D5914yes—
1793C4⋊C4C23×D5914yes—
1794C4⋊C4C23×D5914yes—
1795C4⋊C4C23×D5914yes—
1796C4⋊C4C23×D5914yes—
1797C4⋊C4C23×D5914yes—
1798C4⋊C4C23×D5914yes—
1799C4⋊C4C23×D5914yes—
1800C4⋊C4C23×D5914yes—
1801C4⋊C4C23×D5914yes—
1802C22⋊C4—594no—
1803C22⋊C4—594no—
1804C22⋊C4—594no—
1805C22⋊C4—594no—
1806C22⋊C4—594no—
1807C22⋊C4—594no—
1808C22⋊C4—594no—
1809C22⋊C4—594no—
1810C22⋊C4—594no—
1811C22⋊C4—594no—
1812C22⋊C4—594no—
1813C22⋊C4—594no—
1814C22⋊C4—594no—
1815C22⋊C4—594no—
1816C22⋊C4—594no—
1817C22⋊C4—594no—
1818C22⋊C4—594no—
1819C22⋊C4—594no—
1820C22⋊C4—594no—
1821C22⋊C4—594no—
1822C22⋊C4—594no—
1823C22⋊C4—594no—
1824C22⋊C4—594no—
1825C22⋊C4—594no—
1826C22⋊C4—594no—
1827C22⋊C4—594no—
1828C22⋊C4—594no—
1829C22⋊C4—594no—
1830C22⋊C4—594no—
1831C22⋊C4—594no—
1832C22⋊C4—594no—
1833C22⋊C4—594no—
1834C22⋊C4—594no—
1835C22⋊C4—594no—
1836C22⋊C4C23×D5914yes—
1837C22⋊C4C23×D5914yes—
1838C22⋊C4C23×D5914yes—
1839C22⋊C4C23×D5914yes—
1840C22⋊C4C23×D5914yes—
1841C22⋊C4C23×D5914yes—
1842C22⋊C4C23×D5914yes—
1843C22⋊C4C23×D5914yes—
1844C22⋊C4C23×D5914yes—
1845C22⋊C4C23×D5914yes—
1846C22⋊C4C23×D5914yes—
1847C22⋊C4C23×D5914yes—
1848C42—594no—
1849C42—594no—
1850C42—594no—
1851C42—594no—
1852C42—594no—
1853C42C23×D5914yes—
1854C23—22no—
1855C23—22no—
1856C23—22no—
1857C23—22no—
1858C23—22no—
1859C23—22no—
1860C23—22no—
1861C23—22no—
1862C23—22no—
1863C23—22no—
1864C23—22no—
1865C23—22no—
1866C23—594no—
1867C23—594no—
1868C23—592no—
1869C23—592no—
1870C23—592no—
1871C23—592no—
1872C23—592no—
1873C23—1188no—
1874C23—1188no—
1875C23—1188no—
1876C23—1188no—
1877C23—1182no—
1878C23—1182no—
1879C23—1182no—
1880C23—1182no—
1881C23—1182no—
1882C23—1182no—
1883C23—1182no—
1884C23—1182no—
1885C23—1182no—
1886C23—1182no—
1887C23—1182no—
1888C23—1182no—
1889C23—1182no—
1890C23—4728no—
1891C23—4728no—
1892C23—2364no—
1893C23—2364no—
1894C23—2364no—
1895C23—2364no—
1896C23—2364no—
1897C23—23616no—
1898C23C24×D5912yes—
1899C23C24×D5912yes—
1900C23C24×D5912yes—
1901C23C24×D5912yes—
1902C23C24×D5911yescharacteristic
1903Q8—44no—
1904Q8—44no—
1905Q8—1188no—
1906Q8—1188no—
1907Q8—2364no—
1908Q8—2364no—
1909Q8—2364no—
1910Q8—2364no—
1911Q8—2364no—
1912D4—44no—
1913D4—44no—
1914D4—44no—
1915D4—44no—
1916D4—44no—
1917D4—44no—
1918D4—1188no—
1919D4—1188no—
1920D4—1188no—
1921D4—1188no—
1922D4—1188no—
1923D4—1188no—
1924D4—1188no—
1925D4—1188no—
1926D4—1188no—
1927D4—1188no—
1928D4—2364no—
1929D4—2364no—
1930D4—2364no—
1931D4—2364no—
1932D4—2364no—
1933D4—2364no—
1934D4—2364no—
1935D4—2364no—
1936D4—2364no—
1937D4—2364no—
1938D4—2364no—
1939C2×C4—22no—
1940C2×C4—22no—
1941C2×C4—22no—
1942C2×C4—22no—
1943C2×C4—22no—
1944C2×C4—22no—
1945C2×C4—22no—
1946C2×C4—22no—
1947C2×C4—22no—
1948C2×C4—22no—
1949C2×C4—22no—
1950C2×C4—44no—
1951C2×C4—44no—
1952C2×C4—44no—
1953C2×C4—44no—
1954C2×C4—594no—
1955C2×C4—592no—
1956C2×C4—592no—
1957C2×C4—592no—
1958C2×C4—592no—
1959C2×C4—592no—
1960C2×C4—592no—
1961C2×C4—592no—
1962C2×C4—592no—
1963C2×C4—592no—
1964C2×C4—592no—
1965C2×C4—592no—
1966C2×C4—1188no—
1967C2×C4—1188no—
1968C2×C4—1188no—
1969C2×C4—1188no—
1970C2×C4—1188no—
1971C2×C4—1188no—
1972C2×C4—1188no—
1973C2×C4—1182no—
1974C2×C4—1182no—
1975C2×C4—1182no—
1976C2×C4—1182no—
1977C2×C4—1182no—
1978C2×C4—1182no—
1979C2×C4—1182no—
1980C2×C4—1182no—
1981C2×C4—1182no—
1982C2×C4—1182no—
1983C2×C4—2364no—
1984C2×C4—2364no—
1985C2×C4—2364no—
1986C2×C4—2364no—
1987C2×C4—2364no—
1988C2×C4—2364no—
1989C2×C4—2364no—
1990C2×C4—2364no—
1991C2×C4—2364no—
1992C2×C4—2364no—
1993C2×C4—2364no—
1994C2×C4—2364no—
1995C2×C4—2364no—
1996C2×C4—2364no—
1997C2×C4—2364no—
1998C2×C4C24×D5912yes—
1999C2×C4C24×D5912yes—
2000C2×C4C24×D5912yes—
2001C2×C4C24×D5912yes—
2002C2×C4C24×D5912yes—
2003C2×C4C24×D5912yes—
2004C2×C4C24×D5912yes—
2005C2×C4C24×D5912yes—
2006C2×C4C24×D5912yes—
2007C2×C4C24×D5912yes—
2008C2×C4C24×D5912yes—
2009C22—22no—
2010C22—22no—
2011C22—22no—
2012C22—22no—
2013C22—22no—
2014C22—22no—
2015C22—22no—
2016C22—22no—
2017C22—22no—
2018C22—22no—
2019C22—22no—
2020C22—22no—
2021C22—44no—
2022C22—44no—
2023C22—44no—
2024C22—44no—
2025C22—594no—
2026C22—594no—
2027C22—1188no—
2028C22—1188no—
2029C22—1182no—
2030C22—1182no—
2031C22—1182no—
2032C22—1182no—
2033C22—1182no—
2034C22—1182no—
2035C22—1182no—
2036C22—1182no—
2037C22—1182no—
2038C22—1182no—
2039C22—1182no—
2040C22—1182no—
2041C22—1182no—
2042C22—4728no—
2043C22—4728no—
2044C22—23616no—
2045C22—2364no—
2046C22—2364no—
2047C22—2364no—
2048C22H(5,𝔽2)×D5912yes—
2049C22H(5,𝔽2)×D5912yes—
2050C222−1+4×D5912yes—
2051C22C25×D5911yescharacteristic
2052C4—22no—
2053C4—22no—
2054C4—22no—
2055C4—22no—
2056C4—22no—
2057C4—22no—
2058C4—22no—
2059C4—22no—
2060C4—22no—
2061C4—22no—
2062C4—22no—
2063C4—594no—
2064C4—1182no—
2065C4—1182no—
2066C4—1182no—
2067C4—1182no—
2068C4—1182no—
2069C4—1182no—
2070C4—1182no—
2071C4—1182no—
2072C4—1182no—
2073C4—1182no—
2074C2—42no—
2075C2—42no—
2076C2—42no—
2077C2—42no—
2078C2—1184no—
2079C2—1184no—
2080C2—2362no—
2081C2—2362no—
2082C2—2362no—
2083C2#2143831514yesdirect product factor
2084C2C2×H(5,𝔽2)×D5911yescharacteristic
2085C2C2×H(5,𝔽2)×D5911yescharacteristic
2086C2C2×2−1+4×D5911yescharacteristic
subgroupG/H
centerC23C24×D59
commutator, cosocleC22×C59C26
FrattiniC22C25×D59
FittingC2×C59×#562C2
socleC23×C59C25
hypercenterC2×#562D59
hypocenterC59C2×#3536
LCSG ▷ C22×C59 ▷ C59
UCSC1 ◁ C23 ◁ C2×#562

Complements

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

NH ≅ G/Ntype
1. #21438315C2direct (N × H)
2. C2×#16838149C2semidirect
3. C2×#16838148C2semidirect
4. C2×#16838147C2semidirect
5. C2×#16838108C2semidirect
6. C2×#16838106C2semidirect
7. C2×#16838062C2semidirect
8. C2×#16838060C2semidirect
9. C2×#16838054C2semidirect
10. C2×#16838050C2semidirect
11. C2×#16838049C2semidirect
12. C2×#16838045C2semidirect
13. C2×#16838044C2semidirect
14. C2×#16838044C2semidirect
15. C2×#16838041C2semidirect
16. C2×#16838041C2semidirect
17. C2×#16838027C2semidirect
18. C2×#16838027C2semidirect
19. C2×#16838020C2semidirect
20. C2×#16838016C2semidirect
21. C2×#16838000C2semidirect
22. C2×#16837995C2semidirect
23. C2×#16837988C2semidirect
24. C2×#16837986C2semidirect
25. C2×#16837982C2semidirect
26. C2×#16837981C2semidirect
27. C2×#16837981C2semidirect
28. C2×#16837979C2semidirect
29. C2×#16837910C2semidirect
30. C2×C22⋊Q8×D59C2semidirect
31. C2×#121×D59C2semidirect
32. C2×C59×#562C2semidirect
33. C22×#11745689C22semidirect
34. C22×#11745685C22semidirect
35. C22×#11745685C22semidirect
36. C22×#11745685C22semidirect
37. C22×#11745687C22semidirect
38. C22×#11745687C22semidirect
39. C22×#11745687C22semidirect
40. C22×Q8×D59C22semidirect
45. #16838149C22semidirect
46. #16838148C22semidirect
47. #16838147C22semidirect
48. #16838108C22semidirect
49. #16838106C22semidirect
50. #16838062C22semidirect
51. #16838060C22semidirect
52. #16838054C22semidirect
53. #16838050C22semidirect
54. #16838049C22semidirect
55. #16838045C22semidirect
56. #16838044C22semidirect
57. #16838044C22semidirect
58. #16838041C22semidirect
59. #16838041C22semidirect
60. #16838027C22semidirect
61. #16838027C22semidirect
62. #16838020C22semidirect
63. #16838016C22semidirect
64. #16838000C22semidirect
65. #16837995C22semidirect
66. #16837988C22semidirect
67. #16837986C22semidirect
68. #16837982C22semidirect
69. #16837981C22semidirect
70. #16837981C22semidirect
71. #16837979C22semidirect
72. C2×#14273726C22semidirect
73. C2×#14273725C22semidirect
74. C2×#14273722C22semidirect
75. C2×#14273721C22semidirect
76. C2×#14273720C22semidirect
77. C2×#14273720C22semidirect
78. C2×#14273718C22semidirect
79. C2×#14273717C22semidirect
80. C2×#14273717C22semidirect
81. C2×#14273716C22semidirect
82. C2×#14273714C22semidirect
83. C2×#14273713C22semidirect
84. C2×#14273713C22semidirect
85. C2×#14273713C22semidirect
86. C2×#14273713C22semidirect
87. C2×#14273713C22semidirect
88. C2×#14273713C22semidirect
89. #16837910C22semidirect
90. C2×#14273712C22semidirect
91. C2×#14273712C22semidirect
92. C2×#14273712C22semidirect
93. C2×#14273712C22semidirect
94. C2×#14273712C22semidirect
95. C2×#14273711C22semidirect
96. C2×#14273710C22semidirect
97. C2×#14273709C22semidirect
98. C2×#14273709C22semidirect
99. C2×#14273709C22semidirect
100. C2×#14273709C22semidirect
101. C2×#14273709C22semidirect
102. C2×#14273708C22semidirect
103. C2×#14273708C22semidirect
106. C2×#14273707C22semidirect
107. C2×#14273707C22semidirect
108. C2×#14273707C22semidirect
109. C2×#14273706C22semidirect
110. C2×#14273706C22semidirect
111. C2×#14273706C22semidirect
117. C2×#14273705C22semidirect
118. C2×#14273705C22semidirect
119. C2×#14273705C22semidirect
120. C2×#14273705C22semidirect
121. C2×#14273705C22semidirect
122. C2×#14273705C22semidirect
123. C2×#14273705C22semidirect
124. C2×#14273704C22semidirect
125. C2×#14273704C22semidirect
126. C2×#14273704C22semidirect
127. C2×#14273704C22semidirect
128. C2×#14273704C22semidirect
129. C2×#14273704C22semidirect
130. C2×#14273704C22semidirect
131. C2×#14273704C22semidirect
134. C2×#14273703C22semidirect
135. C2×#14273703C22semidirect
136. C22⋊Q8×D59C22semidirect
138. C2×#14273702C22semidirect
139. C2×#14273702C22semidirect
141. C2×#14273701C22semidirect
145. C2×#14273700C22semidirect
146. C2×#14273700C22semidirect
147. C2×#14273700C22semidirect
148. C2×#14273700C22semidirect
149. C2×#14273700C22semidirect
150. C2×#14273700C22semidirect
151. C2×#14273700C22semidirect
152. C2×#14273700C22semidirect
155. C2×#14273699C22semidirect
156. C2×#14273699C22semidirect
157. C2×#14273699C22semidirect
158. C2×#14273699C22semidirect
159. C2×#14273699C22semidirect
161. C2×#14273698C22semidirect
162. C2×#14273698C22semidirect
163. C2×#14273698C22semidirect
164. C2×#14273698C22semidirect
165. #121×D59C22semidirect
172. C2×C4×Dic118C22semidirect
173. C2×#14273692C22semidirect
175. C2×C4×D236C22semidirect
178. C2×#14273689C22semidirect
179. C2×#14273689C22semidirect
181. C2×C4×C22⋊D59C22semidirect
182. C2×C4×C22⋊D59C22semidirect
185. C2×(C22⋊D59)⋊C4C22semidirect
186. C2×(C22⋊D59)⋊C4C22semidirect
187. C2×(C22⋊D59)⋊C4C22semidirect
188. C2×#14273683C22semidirect
189. C22×Dic59⋊C4C22semidirect
191. C2×C4⋊C4×D59C22semidirect
192. C2×C4⋊C4×D59C22semidirect
193. C2×C4⋊C4×D59C22semidirect
194. C2×C4⋊C4×D59C22semidirect
203. C59×#562C22semidirect
204. C2×#125×C59C22semidirect
205. C2×#124×C59C22semidirect
206. C2×#124×C59C22semidirect
207. C2×#123×C59C22semidirect
208. C2×#123×C59C22semidirect
209. C2×#123×C59C22semidirect
210. C2×#123×C59C22semidirect
211. C2×C22⋊Q8×C59C22semidirect
212. C2×C22⋊Q8×C59C22semidirect
213. C2×C22⋊Q8×C59C22semidirect
214. C2×C22⋊Q8×C59C22semidirect
216. C2×#121×C59C22semidirect
217. C2×#121×C59C22semidirect
218. C2×#121×C59C22semidirect
223. C2×#11745689C23semidirect
227. C2×#11745685C23semidirect
228. C2×#11745685C23semidirect
229. C2×#11745685C23semidirect
233. C2×#11745687C23semidirect
234. C2×#11745687C23semidirect
235. C2×#11745687C23semidirect
244. C2×Q8×D59C23semidirect
296. #14273726C23semidirect
297. #14273725C23semidirect
298. #14273722C23semidirect
299. #14273721C23semidirect
300. #14273720C23semidirect
301. #14273720C23semidirect
302. #14273718C23semidirect
303. #14273717C23semidirect
304. #14273717C23semidirect
305. #14273716C23semidirect
306. #14273714C23semidirect
307. #14273713C23semidirect
308. #14273713C23semidirect
309. #14273713C23semidirect
310. #14273713C23semidirect
311. #14273713C23semidirect
312. #14273713C23semidirect
313. #14273712C23semidirect
314. #14273712C23semidirect
315. #14273712C23semidirect
316. #14273712C23semidirect
317. #14273712C23semidirect
318. #14273711C23semidirect
319. #14273710C23semidirect
320. #14273709C23semidirect
321. #14273709C23semidirect
322. #14273709C23semidirect
323. #14273709C23semidirect
324. #14273709C23semidirect
325. #14273708C23semidirect
326. #14273708C23semidirect
329. #14273707C23semidirect
330. #14273707C23semidirect
331. #14273707C23semidirect
332. #14273706C23semidirect
333. #14273706C23semidirect
334. #14273706C23semidirect
340. #14273705C23semidirect
341. #14273705C23semidirect
342. #14273705C23semidirect
343. #14273705C23semidirect
344. #14273705C23semidirect
345. #14273705C23semidirect
346. #14273705C23semidirect
347. #14273704C23semidirect
348. #14273704C23semidirect
349. #14273704C23semidirect
350. #14273704C23semidirect
351. #14273704C23semidirect
352. #14273704C23semidirect
353. #14273704C23semidirect
354. #14273704C23semidirect
357. #14273703C23semidirect
358. #14273703C23semidirect
360. #14273702C23semidirect
361. #14273702C23semidirect
363. #14273701C23semidirect
367. #14273700C23semidirect
368. #14273700C23semidirect
369. #14273700C23semidirect
370. #14273700C23semidirect
371. #14273700C23semidirect
372. #14273700C23semidirect
373. #14273700C23semidirect
374. #14273700C23semidirect
377. #14273699C23semidirect
378. #14273699C23semidirect
379. #14273699C23semidirect
380. #14273699C23semidirect
381. #14273699C23semidirect
383. #14273698C23semidirect
384. #14273698C23semidirect
385. #14273698C23semidirect
386. #14273698C23semidirect
393. C4×Dic118C23semidirect
394. #14273692C23semidirect
396. C4×D236C23semidirect
399. #14273689C23semidirect
400. #14273689C23semidirect
402. C4×C22⋊D59C23semidirect
403. C4×C22⋊D59C23semidirect
406. (C22⋊D59)⋊C4C23semidirect
407. (C22⋊D59)⋊C4C23semidirect
408. (C22⋊D59)⋊C4C23semidirect
409. #14273683C23semidirect
438. C2×Dic59⋊C4C23semidirect
440. C4⋊C4×D59C23semidirect
441. C4⋊C4×D59C23semidirect
442. C4⋊C4×D59C23semidirect
443. C4⋊C4×D59C23semidirect
503. #125×C59C23semidirect
504. #124×C59C23semidirect
505. #124×C59C23semidirect
506. #123×C59C23semidirect
507. #123×C59C23semidirect
508. #123×C59C23semidirect
509. #123×C59C23semidirect
510. C22⋊Q8×C59C23semidirect
511. C22⋊Q8×C59C23semidirect
512. C22⋊Q8×C59C23semidirect
513. C22⋊Q8×C59C23semidirect
515. #121×C59C23semidirect
516. #121×C59C23semidirect
517. #121×C59C23semidirect
1035. C2×#562D59semidirect
1067. C2×C59#3536semidirect
1091. #562C2×D59semidirect
1125. C2×#125C2×D59semidirect
1134. C2×#124C2×D59semidirect
1135. C2×#124C2×D59semidirect
1151. C2×#123C2×D59semidirect
1152. C2×#123C2×D59semidirect
1153. C2×#123C2×D59semidirect
1154. C2×#123C2×D59semidirect
1188. C2×C22⋊Q8C2×D59semidirect
1189. C2×C22⋊Q8C2×D59semidirect
1190. C2×C22⋊Q8C2×D59semidirect
1191. C2×C22⋊Q8C2×D59semidirect
1222. C2×#121C2×D59semidirect
1223. C2×#121C2×D59semidirect
1224. C2×#121C2×D59semidirect
1262. C59C2×#3536semidirect
1361. #125C22×D59semidirect
1370. #124C22×D59semidirect
1371. #124C22×D59semidirect
1386. #123C22×D59semidirect
1387. #123C22×D59semidirect
1388. #123C22×D59semidirect
1389. #123C22×D59semidirect
1422. C22⋊Q8C22×D59semidirect
1423. C22⋊Q8C22×D59semidirect
1424. C22⋊Q8C22×D59semidirect
1425. C22⋊Q8C22×D59semidirect
1455. #121C22×D59semidirect
1456. #121C22×D59semidirect
1457. #121C22×D59semidirect
2083. C2#21438315direct (N × H)

Maximal subgroups

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

subgroupindex
#214383152
C2×#168381492
C2×#168381482
C2×#168381472
C2×#168381082
C2×#168381062
C2×#168380622
C2×#168380602
C2×#168380542
C2×#168380502
C2×#168380492
C2×#168380452
C2×#168380442
C2×#168380412
C2×#168380272
C2×#168380202
C2×#168380162
C2×#168380002
C2×#168379952
C2×#168379882
C2×#168379862
C2×#168379822
C2×#168379812
C2×#168379792
C2×#168379102
C2×C22⋊Q8×D592
C2×#121×D592
C2×C59×#5622
C2×#353659