Finite Group Databasebeta

← C2×#21438452 #29496438

Subgroups — C2×#21438452 #29496438

Order 15104.

7430 conjugacy classes of subgroups.

The subgroup lattice has 2036 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438452C2132yesmaximal, direct product factor
2C2×#16838154C211yesmaximal, characteristic, complemented
3C2×#16838149C211yesmaximal, characteristic, complemented
4C2×#16838148C211yesmaximal, characteristic, complemented
5C2×#16838144C211yesmaximal, characteristic, complemented
6C2×#16838117C211yesmaximal, characteristic, complemented
7C2×#16838115C211yesmaximal, characteristic, complemented
8C2×#16838079C211yesmaximal, characteristic, complemented
9C2×#16838078C211yesmaximal, characteristic, complemented
10C2×#16838077C211yesmaximal, characteristic, complemented
11C2×#16838076C211yesmaximal, characteristic, complemented
12C2×#16838075C211yesmaximal, characteristic, complemented
13C2×#16838047C211yesmaximal, characteristic, complemented
14C2×#16838044C211yesmaximal, characteristic, complemented
15C2×#16838042C211yesmaximal, characteristic, complemented
16C2×#16838039C211yesmaximal, characteristic, complemented
17C2×#16838025C211yesmaximal, characteristic, complemented
18C2×#16838023C211yesmaximal, characteristic, complemented
19C2×#16838021C211yesmaximal, characteristic, complemented
20C2×#16838018C211yesmaximal, characteristic, complemented
21C2×#16837991C211yesmaximal, characteristic, complemented
22C2×#16837988C211yesmaximal, characteristic, complemented
23C2×#16837988C211yesmaximal, characteristic, complemented
24C2×#16837985C211yesmaximal, characteristic, complemented
25C2×#16837978C211yesmaximal, characteristic, complemented
26C2×#16837974C211yesmaximal, characteristic, complemented
27C2×#16837964C211yesmaximal, characteristic, complemented
28C2×#16837962C211yesmaximal, characteristic, complemented
29C2×#16837938C211yesmaximal, characteristic, complemented
30C2×#16837932C211yesmaximal, characteristic, complemented
31C22×#14273713C211yesmaximal, characteristic, complemented
32C2×C59×#551C211yesmaximal, characteristic, complemented
33C22×#11745685C2211yescharacteristic
34C22×#11745687C2211yescharacteristic
35C23×Dic118C2211yescharacteristic, complemented
36C23×C22⋊D59C2211yescharacteristic
37C23×C22⋊D59C2211yescharacteristic, complemented
38C22×D4×D59C2211yescharacteristic, complemented
39#16838154C22116yescomplemented
40#16838149C22116yescomplemented
41#16838148C22116yescomplemented
42#16838144C22116yescomplemented
43#16838117C22116yescomplemented
44#16838115C22116yescomplemented
45#16838079C22116yescomplemented
46#16838078C22116yescomplemented
47#16838077C22116yescomplemented
48#16838076C22116yescomplemented
49#16838075C22116yescomplemented
50#16838047C22116yescomplemented
51#16838044C22116yescomplemented
52#16838042C22116yescomplemented
53#16838039C22116yescomplemented
54#16838025C22116yescomplemented
55#16838023C22116yescomplemented
56#16838021C22116yescomplemented
57#16838018C22116yescomplemented
58#16837991C22116yescomplemented
59#16837988C22116yescomplemented
60#16837988C22116yescomplemented
61#16837985C22116yescomplemented
62#16837978C22116yescomplemented
63#16837974C22116yescomplemented
64#16837964C22116yescomplemented
65#16837962C22116yescomplemented
66C2×#14273727C2211yescharacteristic, complemented
67C2×#14273727C2211yescharacteristic, complemented
68C2×#14273726C2211yescharacteristic, complemented
69C2×#14273726C2211yescharacteristic, complemented
70#16837938C22116yescomplemented
71#16837932C22116yescomplemented
72C2×#14273722C2211yescharacteristic, complemented
73C2×#14273722C2211yescharacteristic, complemented
74C2×#14273722C2211yescharacteristic, complemented
75C2×#14273722C2211yescharacteristic, complemented
76C2×#14273722C2211yescharacteristic, complemented
77C2×#14273722C2211yescharacteristic, complemented
78C2×#14273721C2211yescharacteristic, complemented
79C2×#14273720C2211yescharacteristic, complemented
80C2×#14273720C2211yescharacteristic, complemented
81C2×#14273720C2211yescharacteristic, complemented
82C2×#14273718C2211yescharacteristic, complemented
83C2×#14273717C2211yescharacteristic, complemented
84C2×#14273716C2211yescharacteristic, complemented
85C2×#14273716C2211yescharacteristic, complemented
86C2×#14273715C2211yescharacteristic, complemented
87C2×#14273715C2211yescharacteristic, complemented
88C2×#14273715C2211yescharacteristic, complemented
89C2×#14273715C2211yescharacteristic, complemented
90C2×#14273713C2211yescharacteristic
91C2×#14273713C2211yescharacteristic
92C2×#14273713C2211yescharacteristic, complemented
93C2×#14273713C2211yescharacteristic, complemented
94C2×#14273713C2211yescharacteristic, complemented
95C2×#14273713C2211yescharacteristic, complemented
96C2×#14273713C2211yescharacteristic, complemented
97C2×#14273713C2211yescharacteristic, complemented
98C2×#14273713C2211yescharacteristic, complemented
99C2×#14273713C2211yescharacteristic, complemented
100C2×#14273713C2211yescharacteristic, complemented
101C2×#14273713C2211yescharacteristic, complemented
102C2×#14273713C2211yescharacteristic, complemented
103C2×#14273713C2211yescharacteristic, complemented
104C2×#14273713C2211yescharacteristic, complemented
105C2×#14273713C22116yescomplemented
106C2×#14273712C2211yescharacteristic, complemented
107C2×#14273712C2211yescharacteristic, complemented
108C2×#14273712C2211yescharacteristic, complemented
109C2×#14273712C2211yescharacteristic, complemented
110C2×#14273712C2211yescharacteristic, complemented
111C2×#14273711C2211yescharacteristic
112C2×#14273711C2211yescharacteristic, complemented
113C2×#14273711C2211yescharacteristic, complemented
114C2×#14273711C2211yescharacteristic, complemented
115C2×#14273711C2211yescharacteristic, complemented
116C2×#14273711C2211yescharacteristic, complemented
117C2×#14273711C2211yescharacteristic, complemented
118C2×#14273711C2211yescharacteristic, complemented
119C2×#14273710C2211yescharacteristic, complemented
120C2×#14273710C2211yescharacteristic, complemented
121C2×#14273709C2211yescharacteristic
122C2×#14273709C2211yescharacteristic, complemented
123C2×#14273709C2211yescharacteristic, complemented
124C2×#14273709C2211yescharacteristic, complemented
125C2×#14273709C2211yescharacteristic, complemented
126C2×#14273708C2211yescharacteristic, complemented
127C2×#14273707C2211yescharacteristic, complemented
128C2×#14273707C2211yescharacteristic, complemented
129C2×#14273707C2211yescharacteristic, complemented
130C2×#14273707C2211yescharacteristic, complemented
131C2×#14273707C2211yescharacteristic, complemented
132C2×#14273706C2211yescharacteristic, complemented
133C2×#14273705C2211yescharacteristic, complemented
134C2×#14273705C2211yescharacteristic, complemented
135C2×#14273705C2211yescharacteristic, complemented
136C2×#14273705C2211yescharacteristic, complemented
137C2×#14273704C2211yescharacteristic, complemented
138C2×#14273704C2211yescharacteristic, complemented
139C2×#14273704C2211yescharacteristic, complemented
140C2×#14273704C2211yescharacteristic, complemented
141C2×#14273704C2211yescharacteristic, complemented
142C2×#14273703C2211yescharacteristic, complemented
143C2×#14273702C2211yescharacteristic, complemented
144C2×#14273702C2211yescharacteristic, complemented
145C2×#14273701C2211yescharacteristic
146C2×#14273701C2211yescharacteristic
147C2×#14273701C2211yescharacteristic
148C2×#14273701C2211yescharacteristic, complemented
149C2×#14273701C2211yescharacteristic, complemented
150C2×#14273701C2211yescharacteristic, complemented
151C2×#14273700C2211yescharacteristic
152C2×#14273700C2211yescharacteristic, complemented
153C2×#14273700C2211yescharacteristic, complemented
154C2×#14273700C2211yescharacteristic, complemented
155C2×#14273700C2211yescharacteristic, complemented
156C2×#14273699C2211yescharacteristic
157C2×#14273699C2211yescharacteristic, complemented
158C2×#14273698C2211yescharacteristic
159C2×#14273698C2211yescharacteristic, complemented
160C2×#14273698C2211yescharacteristic, complemented
161C2×#14273697C2211yescharacteristic
162C2×#14273697C2211yescharacteristic
163C2×#14273697C2211yescharacteristic
164C2×#14273697C2211yescharacteristic, complemented
165C2×#14273697C2211yescharacteristic, complemented
166C2×#14273697C2211yescharacteristic, complemented
167C2×#14273697C2211yescharacteristic, complemented
168C2×#14273696C2211yescharacteristic
169C2×#14273695C2211yescharacteristic
170C2×#14273695C2211yescharacteristic, complemented
171C2×#14273695C2211yescharacteristic, complemented
172C2×Q8×Dic59C2211yescharacteristic, complemented
173C2×C4×Dic118C2211yescharacteristic, complemented
174C2×C4×D236C2211yescharacteristic, complemented
175C2×C4×D236C2211yescharacteristic, complemented
176C2×D4×Dic59C2211yescharacteristic, complemented
177C2×#14273689C2211yescharacteristic, complemented
178C2×#14273689C2211yescharacteristic, complemented
179C2×#14273689C2211yescharacteristic, complemented
180C2×C4×C22⋊D59C2211yescharacteristic, complemented
181C2×C4×C22⋊D59C2211yescharacteristic, complemented
182C2×C4×C22⋊D59C2211yescharacteristic, complemented
183C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
184C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
185C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
186C2×#14273686C2211yescharacteristic, complemented
187C2×#14273686C2211yescharacteristic, complemented
188C2×#14273685C2211yescharacteristic, complemented
189C2×#14273685C2211yescharacteristic, complemented
190C2×#14273685C2211yescharacteristic, complemented
191C2×#14273684C2211yescharacteristic, complemented
192C2×#14273684C2211yescharacteristic, complemented
193C2×#14273683C2211yescharacteristic, complemented
194C22×C22⋊Dic59C2211yescharacteristic, complemented
195C22×(C2×D59)⋊C4C2211yescharacteristic, complemented
196C22×(C2×D59)⋊C4C2211yescharacteristic, complemented
197C22×(C2×D59)⋊C4C2211yescharacteristic, complemented
198C2×C22⋊C4×D59C2211yescharacteristic, complemented
199C2×C22⋊C4×D59C2211yescharacteristic, complemented
200C2×C22⋊C4×D59C2211yescharacteristic, complemented
201C2×C22⋊C4×D59C2211yescharacteristic, complemented
202C22×C4×Dic59C2211yescharacteristic, complemented
203C59×#551C22116yescomplemented
204C2×#126×C59C2211yescharacteristic, complemented
205C2×#126×C59C2211yescharacteristic, complemented
206C2×#124×C59C2211yescharacteristic, complemented
207C2×#123×C59C2211yescharacteristic, complemented
208C2×#123×C59C2211yescharacteristic, complemented
209C2×#123×C59C2211yescharacteristic, complemented
210C2×C22⋊Q8×C59C2211yescharacteristic, complemented
211C2×C22⋊Q8×C59C2211yescharacteristic, complemented
212C2×#120×C59C2211yescharacteristic
213C2×C4×D4×C59C2211yescharacteristic, complemented
214C2×C4×D4×C59C2211yescharacteristic, complemented
215C2×#117×C59C2211yescharacteristic, complemented
216C2×#117×C59C2211yescharacteristic, complemented
217C22×C22⋊C4×C59C2211yescharacteristic, complemented
218C22×C22⋊C4×C59C2211yescharacteristic, complemented
219C24×D59C2311yescharacteristic
220C24×D59C2311yescharacteristic
221C24×D59C2311yescharacteristic
222C2×#11745685—44no—
223C2×#11745685C2318yes—
224C2×#11745687—44no—
225C2×#11745687C2318yes—
226C22×Dic118—44no—
227C22×Dic118C2311yescharacteristic
228C22×Dic118C2311yescharacteristic
229C22×Dic118C2311yescharacteristic
230C22×Dic118C2311yescharacteristic
231C22×Dic118C2311yescharacteristic
232C22×Dic118C2311yescharacteristic
233C22×Dic118C2311yescharacteristic
234C22×Dic118C2318yescomplemented
235C22×D236C2311yescharacteristic
236C22×D236C2311yescharacteristic
237C22×D236C2311yescharacteristic
238C22×D236C2311yescharacteristic
239C22×D236C2311yescharacteristic
240C22×D236C2311yescharacteristic
241C22×D236C2311yescharacteristic
242C22×C22⋊D59—44no—
243C22×C22⋊D59—44no—
244C22×C22⋊D59C2311yescharacteristic
245C22×C22⋊D59C2311yescharacteristic
246C22×C22⋊D59C2311yescharacteristic
247C22×C22⋊D59C2311yescharacteristic
248C22×C22⋊D59C2311yescharacteristic
249C22×C22⋊D59C2311yescharacteristic
250C22×C22⋊D59C2311yescharacteristic
251C22×C22⋊D59C2311yescharacteristic
252C22×C22⋊D59C2311yescharacteristic
253C22×C22⋊D59C2311yescharacteristic
254C22×C22⋊D59C2311yescharacteristic
255C22×C22⋊D59C2311yescharacteristic
256C22×C22⋊D59C2311yescharacteristic
257C22×C22⋊D59C2311yescharacteristic
258C22×C22⋊D59C2318yes—
259C22×C22⋊D59C2318yescomplemented
260C2×D4×D59—44no—
261C2×D4×D59C2318yescomplemented
262C23×Dic59C2311yescharacteristic
263C23×Dic59C2311yescharacteristic
264C23×Dic59C2311yescharacteristic
265C23×Dic59C2311yescharacteristic
266C23×Dic59C2311yescharacteristic
267C22×C4×D59C2311yescharacteristic
268C22×C4×D59C2311yescharacteristic
269C22×C4×D59C2311yescharacteristic
270C22×C4×D59C2311yescharacteristic
271C22×C4×D59C2311yescharacteristic
272C22×C4×D59C2311yescharacteristic
273C22×C4×D59C2311yescharacteristic
274C22×C4×D59C2311yescharacteristic
275C22×C4×D59C2311yescharacteristic
276#14273727C2318yescomplemented
277#14273727C2318yescomplemented
278#14273726C2318yescomplemented
279#14273726C2318yescomplemented
280#14273722C2318yescomplemented
281#14273722C2318yescomplemented
282#14273722C2318yescomplemented
283#14273722C2318yescomplemented
284#14273722C2318yescomplemented
285#14273722C2318yescomplemented
286#14273721C2318yescomplemented
287#14273720C2318yescomplemented
288#14273720C2318yescomplemented
289#14273720C2318yescomplemented
290#14273718C2318yescomplemented
291#14273717C2318yescomplemented
292#14273716C2318yescomplemented
293#14273716C2318yescomplemented
294#14273715C2318yescomplemented
295#14273715C2318yescomplemented
296#14273715C2318yescomplemented
297#14273715C2318yescomplemented
298#14273713C2318yes—
299#14273713C2318yes—
300#14273713C2318yescomplemented
301#14273713C2318yescomplemented
302#14273713C2318yescomplemented
303#14273713C2318yescomplemented
304#14273713C2318yescomplemented
305#14273713C2318yescomplemented
306#14273713C2318yescomplemented
307#14273713C2318yescomplemented
308#14273713C2318yescomplemented
309#14273713C2318yescomplemented
310#14273713C2318yescomplemented
311#14273713C2318yescomplemented
312#14273713C2318yescomplemented
313#14273712C2318yescomplemented
314#14273712C2318yescomplemented
315#14273712C2318yescomplemented
316#14273712C2318yescomplemented
317#14273712C2318yescomplemented
318#14273711C2318yes—
319#14273711C2318yescomplemented
320#14273711C2318yescomplemented
321#14273711C2318yescomplemented
322#14273711C2318yescomplemented
323#14273711C2318yescomplemented
324#14273711C2318yescomplemented
325#14273711C2318yescomplemented
326#14273710C2318yescomplemented
327#14273710C2318yescomplemented
328#14273709C2318yes—
329#14273709C2318yescomplemented
330#14273709C2318yescomplemented
331#14273709C2318yescomplemented
332#14273709C2318yescomplemented
333#14273708C2318yescomplemented
334#14273707C2318yescomplemented
335#14273707C2318yescomplemented
336#14273707C2318yescomplemented
337#14273707C2318yescomplemented
338#14273707C2318yescomplemented
339#14273706C2318yescomplemented
340#14273705C2318yescomplemented
341#14273705C2318yescomplemented
342#14273705C2318yescomplemented
343#14273705C2318yescomplemented
344#14273704C2318yescomplemented
345#14273704C2318yescomplemented
346#14273704C2318yescomplemented
347#14273704C2318yescomplemented
348#14273704C2318yescomplemented
349#14273703C2318yescomplemented
350#14273702C2318yescomplemented
351#14273702C2318yescomplemented
352#14273701C2318yes—
353#14273701C2318yes—
354#14273701C2318yes—
355#14273701C2318yescomplemented
356#14273701C2318yescomplemented
357#14273701C2318yescomplemented
358#14273700C2318yes—
359#14273700C2318yescomplemented
360#14273700C2318yescomplemented
361#14273700C2318yescomplemented
362#14273700C2318yescomplemented
363#14273699C2318yes—
364#14273699C2318yescomplemented
365#14273698C2318yes—
366#14273698C2318yescomplemented
367#14273698C2318yescomplemented
368#14273697C2318yes—
369#14273697C2318yes—
370#14273697C2318yes—
371#14273697C2318yescomplemented
372#14273697C2318yescomplemented
373#14273697C2318yescomplemented
374#14273697C2318yescomplemented
375#14273696C2318yes—
376#14273695C2318yes—
377#14273695C2318yescomplemented
378#14273695C2318yescomplemented
379Q8×Dic59C2318yescomplemented
380C4×Dic118C2318yescomplemented
381C4×D236C2318yescomplemented
382C4×D236C2318yescomplemented
383D4×Dic59C2318yescomplemented
384#14273689C2318yescomplemented
385#14273689C2318yescomplemented
386#14273689C2318yescomplemented
387C4×C22⋊D59C2318yescomplemented
388C4×C22⋊D59C2318yescomplemented
389C4×C22⋊D59C2318yescomplemented
390(C22⋊D59)⋊C4C2318yescomplemented
391(C22⋊D59)⋊C4C2318yescomplemented
392(C22⋊D59)⋊C4C2318yescomplemented
393#14273686C2318yescomplemented
394#14273686C2318yescomplemented
395#14273685C2318yescomplemented
396#14273685C2318yescomplemented
397#14273685C2318yescomplemented
398#14273684C2318yescomplemented
399#14273684C2318yescomplemented
400#14273683C2318yescomplemented
401C2×C4⋊Dic59C2311yescharacteristic
402C2×C4⋊Dic59C2311yescharacteristic
403C2×C4⋊Dic59C2311yescharacteristic
404C2×C4⋊Dic59C2311yescharacteristic
405C2×C4⋊Dic59C2311yescharacteristic
406C2×C4⋊Dic59C2311yescharacteristic
407C2×C4⋊Dic59C2311yescharacteristic
408C2×C4⋊Dic59C2311yescharacteristic
409C2×C4⋊Dic59C2311yescharacteristic
410C2×C4⋊Dic59C2311yescharacteristic
411C2×C4⋊Dic59C2311yescharacteristic
412C2×C4⋊Dic59C2311yescharacteristic
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×C22⋊Dic59C2311yescharacteristic
426C2×C22⋊Dic59C2311yescharacteristic
427C2×C22⋊Dic59C2311yescharacteristic
428C2×C22⋊Dic59C2311yescharacteristic
429C2×C22⋊Dic59C2311yescharacteristic
430C2×C22⋊Dic59C2311yescharacteristic
431C2×C22⋊Dic59C2311yescharacteristic
432C2×C22⋊Dic59C2311yescharacteristic
433C2×C22⋊Dic59C2311yescharacteristic
434C2×C22⋊Dic59C2311yescharacteristic
435C2×C22⋊Dic59C2318yescomplemented
436C2×(C2×D59)⋊C4C2311yescharacteristic
437C2×(C2×D59)⋊C4C2311yescharacteristic
438C2×(C2×D59)⋊C4C2311yescharacteristic
439C2×(C2×D59)⋊C4C2311yescharacteristic
440C2×(C2×D59)⋊C4C2311yescharacteristic
441C2×(C2×D59)⋊C4C2311yescharacteristic
442C2×(C2×D59)⋊C4C2311yescharacteristic
443C2×(C2×D59)⋊C4C2311yescharacteristic
444C2×(C2×D59)⋊C4C2311yescharacteristic
445C2×(C2×D59)⋊C4C2311yescharacteristic
446C2×(C2×D59)⋊C4C2311yescharacteristic
447C2×(C2×D59)⋊C4C2311yescharacteristic
448C2×(C2×D59)⋊C4C2311yescharacteristic
449C2×(C2×D59)⋊C4C2311yescharacteristic
450C2×(C2×D59)⋊C4C2311yescharacteristic
451C2×(C2×D59)⋊C4C2311yescharacteristic
452C2×(C2×D59)⋊C4C2311yescharacteristic
453C2×(C2×D59)⋊C4C2311yescharacteristic
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)⋊C4C2318yescomplemented
469C2×(C2×D59)⋊C4C2318yescomplemented
470C2×(C2×D59)⋊C4C2318yescomplemented
471C22⋊C4×D59C2318yescomplemented
472C22⋊C4×D59C2318yescomplemented
473C22⋊C4×D59C2318yescomplemented
474C22⋊C4×D59C2318yescomplemented
475C2×C4×Dic59C2311yescharacteristic
476C2×C4×Dic59C2311yescharacteristic
477C2×C4×Dic59C2311yescharacteristic
478C2×C4×Dic59C2311yescharacteristic
479C2×C4×Dic59C2311yescharacteristic
480C2×C4×Dic59C2311yescharacteristic
481C2×C4×Dic59C2311yescharacteristic
482C2×C4×Dic59C2311yescharacteristic
483C2×C4×Dic59C2311yescharacteristic
484C2×C4×Dic59C2318yescomplemented
485C25×C59C2311yescharacteristic
486C22×Q8×C59C2311yescharacteristic
487C22×D4×C59C2311yescharacteristic
488C22×D4×C59C2311yescharacteristic
489C22×D4×C59C2311yescharacteristic
490C23×C4×C59C2311yescharacteristic
491C23×C4×C59C2311yescharacteristic
492C23×C4×C59C2311yescharacteristic
493C23×C4×C59C2311yescharacteristic
494C23×C4×C59C2311yescharacteristic
495#126×C59C2318yescomplemented
496#126×C59C2318yescomplemented
497#124×C59C2318yescomplemented
498#123×C59C2318yescomplemented
499#123×C59C2318yescomplemented
500#123×C59C2318yescomplemented
501C22⋊Q8×C59C2318yescomplemented
502C22⋊Q8×C59C2318yescomplemented
503#120×C59C2318yes—
504C4×D4×C59C2318yescomplemented
505C4×D4×C59C2318yescomplemented
506#117×C59C2318yescomplemented
507#117×C59C2318yescomplemented
508C2×C4⋊C4×C59C2311yescharacteristic
509C2×C4⋊C4×C59C2311yescharacteristic
510C2×C4⋊C4×C59C2311yescharacteristic
511C2×C4⋊C4×C59C2311yescharacteristic
512C2×C4⋊C4×C59C2311yescharacteristic
513C2×C4⋊C4×C59C2311yescharacteristic
514C2×C4⋊C4×C59C2311yescharacteristic
515C2×C4⋊C4×C59C2311yescharacteristic
516C2×C22⋊C4×C59C2311yescharacteristic
517C2×C22⋊C4×C59C2311yescharacteristic
518C2×C22⋊C4×C59C2311yescharacteristic
519C2×C22⋊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×C59C2311yescharacteristic
529C2×C22⋊C4×C59C2311yescharacteristic
530C2×C22⋊C4×C59C2318yescomplemented
531C2×C22⋊C4×C59C2318yescomplemented
532C2×C42×C59C2311yescharacteristic
533C2×C42×C59C2311yescharacteristic
534C2×C42×C59C2311yescharacteristic
535C24×C59—24no—
536C24×C59—42no—
537C24×C59—42no—
538C24×C59C2411yescharacteristic
539C24×C59C2411yescharacteristic
540C24×C59C2411yescharacteristic
541C24×C59C2411yescharacteristic
542C24×C59C2414yes—
543C23×D59—24no—
544C23×D59—42no—
545C23×D59—42no—
546C23×D59—42no—
547C23×D59—42no—
548C23×D59—42no—
549C23×D59—42no—
550C23×D59—42no—
551C23×D59—42no—
552C23×D59C2411yescharacteristic
553C23×D59C2411yescharacteristic
554C23×D59C2411yescharacteristic
555C23×D59C2411yescharacteristic
556C23×D59C2411yescharacteristic
557C23×D59C2414yes—
558C23×D59C2414yes—
559C23×D59C2414yes—
560C2×Q8×C59—42no—
561C2×Q8×C59C2414yes—
562C2×D4×C59—24no—
563C2×D4×C59—42no—
564C2×D4×C59—42no—
565C2×D4×C59C2414yes—
566C2×D4×C59C2414yes—
567C2×D4×C59C2414yes—
568C22×C4×C59—24no—
569C22×C4×C59—42no—
570C22×C4×C59—42no—
571C22×C4×C59—42no—
572C22×C4×C59—42no—
573C22×C4×C59C2411yescharacteristic
574C22×C4×C59C2411yescharacteristic
575C22×C4×C59C2411yescharacteristic
576C22×C4×C59C2411yescharacteristic
577C22×C4×C59C2411yescharacteristic
578C22×C4×C59C2411yescharacteristic
579C22×C4×C59C2411yescharacteristic
580C22×C4×C59C2411yescharacteristic
581C22×C4×C59C2411yescharacteristic
582C22×C4×C59C2411yescharacteristic
583C22×C4×C59C2411yescharacteristic
584C22×C4×C59C2414yes—
585C22×C4×C59C2414yes—
586C22×C4×C59C2414yes—
587C22×C4×C59C2414yes—
588C22×C4×C59C2414yes—
589C2×C22⋊D59—24no—
590C2×C22⋊D59—24no—
591C2×C22⋊D59—24no—
592C2×C22⋊D59—42no—
593C2×C22⋊D59—42no—
594C2×C22⋊D59—42no—
595C2×C22⋊D59—42no—
596C2×C22⋊D59—42no—
597C2×C22⋊D59—416no—
598C2×C22⋊D59—42no—
599C2×C22⋊D59—42no—
600C2×C22⋊D59—42no—
601C2×C22⋊D59—42no—
602C2×C22⋊D59—42no—
603C2×C22⋊D59—42no—
604C2×C22⋊D59—416no—
605C2×C22⋊D59C2414yes—
606C2×C22⋊D59C2414yes—
607C2×C22⋊D59C2414yes—
608C2×C22⋊D59C2414yes—
609C2×C22⋊D59C2414yes—
610C2×C22⋊D59C2414yes—
611C2×C22⋊D59C2414yes—
612C2×C22⋊D59C2414yes—
613C2×C22⋊D59C2414yes—
614C2×C22⋊D59C2414yes—
615C2×C22⋊D59C2414yes—
616C2×C22⋊D59C2414yes—
617C2×C22⋊D59C2414yes—
618C2×C22⋊D59C2414yes—
619C22×Dic59—24no—
620C22×Dic59—24no—
621C22×Dic59—42no—
622C22×Dic59—42no—
623C22×Dic59—42no—
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—
640#11745687—416no—
641D4×D59—416no—
642#11745685—416no—
643C2×D236—42no—
644C2×D236—42no—
645C2×D236—42no—
646C2×D236—42no—
647C2×D236—42no—
648C2×D236—42no—
649C2×D236—42no—
650C2×D236C2414yes—
651C2×D236C2414yes—
652C2×D236C2414yes—
653C2×D236C2414yes—
654C2×D236C2414yes—
655C2×D236C2414yes—
656C2×D236C2414yes—
657C2×C4×D59—42no—
658C2×C4×D59—42no—
659C2×C4×D59—42no—
660C2×C4×D59—42no—
661C2×C4×D59—42no—
662C2×C4×D59—42no—
663C2×C4×D59—42no—
664C2×C4×D59—42no—
665C2×C4×D59—42no—
666C2×C4×D59C2414yes—
667C2×C4×D59C2414yes—
668C2×C4×D59C2414yes—
669C2×C4×D59C2414yes—
670C2×C4×D59C2414yes—
671C2×C4×D59C2414yes—
672C2×C4×D59C2414yes—
673C2×C4×D59C2414yes—
674C2×C4×D59C2414yes—
675C2×Dic118—42no—
676C2×Dic118—42no—
677C2×Dic118—42no—
678C2×Dic118—42no—
679C2×Dic118—416no—
680C2×Dic118—42no—
681C2×Dic118—42no—
682C2×Dic118—42no—
683C2×Dic118C2414yes—
684C2×Dic118C2414yes—
685C2×Dic118C2414yes—
686C2×Dic118C2414yes—
687C2×Dic118C2414yes—
688C2×Dic118C2414yes—
689C2×Dic118C2414yes—
690C4⋊C4×C59C2414yes—
691C4⋊C4×C59C2414yes—
692C4⋊C4×C59C2414yes—
693C4⋊C4×C59C2414yes—
694C4⋊C4×C59C2414yes—
695C4⋊C4×C59C2414yes—
696C4⋊C4×C59C2414yes—
697C4⋊C4×C59C2414yes—
698C22⋊C4×C59C2414yes—
699C22⋊C4×C59C2414yes—
700C22⋊C4×C59C2414yes—
701C22⋊C4×C59C2414yes—
702C22⋊C4×C59C2414yes—
703C22⋊C4×C59C2414yes—
704C22⋊C4×C59C2414yes—
705C22⋊C4×C59C2414yes—
706C22⋊C4×C59C2414yes—
707C22⋊C4×C59C2414yes—
708C22⋊C4×C59C2414yes—
709C22⋊C4×C59C2414yes—
710C22⋊C4×C59C2414yes—
711C22⋊C4×C59C2414yes—
712C42×C59C2414yes—
713C42×C59C2414yes—
714C42×C59C2414yes—
715C22⋊Dic59C2414yes—
716C22⋊Dic59C2414yes—
717C22⋊Dic59C2414yes—
718C22⋊Dic59C2414yes—
719C22⋊Dic59C2414yes—
720C22⋊Dic59C2414yes—
721C22⋊Dic59C2414yes—
722C22⋊Dic59C2414yes—
723C22⋊Dic59C2414yes—
724C22⋊Dic59C2414yes—
725(C2×D59)⋊C4C2414yes—
726(C2×D59)⋊C4C2414yes—
727(C2×D59)⋊C4C2414yes—
728(C2×D59)⋊C4C2414yes—
729(C2×D59)⋊C4C2414yes—
730(C2×D59)⋊C4C2414yes—
731(C2×D59)⋊C4C2414yes—
732(C2×D59)⋊C4C2414yes—
733(C2×D59)⋊C4C2414yes—
734(C2×D59)⋊C4C2414yes—
735(C2×D59)⋊C4C2414yes—
736(C2×D59)⋊C4C2414yes—
737(C2×D59)⋊C4C2414yes—
738(C2×D59)⋊C4C2414yes—
739(C2×D59)⋊C4C2414yes—
740(C2×D59)⋊C4C2414yes—
741(C2×D59)⋊C4C2414yes—
742(C2×D59)⋊C4C2414yes—
743(C2×D59)⋊C4C2414yes—
744(C2×D59)⋊C4C2414yes—
745(C2×D59)⋊C4C2414yes—
746(C2×D59)⋊C4C2414yes—
747(C2×D59)⋊C4C2414yes—
748(C2×D59)⋊C4C2414yes—
749(C2×D59)⋊C4C2414yes—
750(C2×D59)⋊C4C2414yes—
751(C2×D59)⋊C4C2414yes—
752(C2×D59)⋊C4C2414yes—
753(C2×D59)⋊C4C2414yes—
754(C2×D59)⋊C4C2414yes—
755(C2×D59)⋊C4C2414yes—
756(C2×D59)⋊C4C2414yes—
757C4⋊Dic59C2414yes—
758C4⋊Dic59C2414yes—
759C4⋊Dic59C2414yes—
760C4⋊Dic59C2414yes—
761C4⋊Dic59C2414yes—
762C4⋊Dic59C2414yes—
763C4⋊Dic59C2414yes—
764C4⋊Dic59C2414yes—
765C4⋊Dic59C2414yes—
766C4⋊Dic59C2414yes—
767C4⋊Dic59C2414yes—
768C4⋊Dic59C2414yes—
769Dic59⋊C4C2414yes—
770Dic59⋊C4C2414yes—
771Dic59⋊C4C2414yes—
772Dic59⋊C4C2414yes—
773Dic59⋊C4C2414yes—
774Dic59⋊C4C2414yes—
775Dic59⋊C4C2414yes—
776Dic59⋊C4C2414yes—
777Dic59⋊C4C2414yes—
778Dic59⋊C4C2414yes—
779Dic59⋊C4C2414yes—
780Dic59⋊C4C2414yes—
781C4×Dic59C2414yes—
782C4×Dic59C2414yes—
783C4×Dic59C2414yes—
784C4×Dic59C2414yes—
785C4×Dic59C2414yes—
786C4×Dic59C2414yes—
787C4×Dic59C2414yes—
788C4×Dic59C2414yes—
789C4×Dic59C2414yes—
790C23×C59—22no—
791C23×C59—22no—
792C23×C59—22no—
793C23×C59—22no—
794C23×C59—22no—
795C23×C59—22no—
796C23×C59—22no—
797C23×C59—22no—
798C23×C59—22no—
799C23×C59—22no—
800C23×C59—22no—
801C23×C59—28no—
802C23×C59—44no—
803C23×C59—44no—
804C23×C59—88no—
805C23×C59H(5,𝔽2)14yes—
806C23×C59C2512yes—
807C23×C59C2512yes—
808C23×C59C2512yes—
809C23×C59C2512yes—
810C23×C59C2511yescharacteristic
811C22×D59—22no—
812C22×D59—22no—
813C22×D59—22no—
814C22×D59—22no—
815C22×D59—22no—
816C22×D59—22no—
817C22×D59—22no—
818C22×D59—22no—
819C22×D59—22no—
820C22×D59—22no—
821C22×D59—22no—
822C22×D59—22no—
823C22×D59—22no—
824C22×D59—22no—
825C22×D59—22no—
826C22×D59—28no—
827C22×D59—44no—
828C22×D59—44no—
829C22×D59—44no—
830C22×D59—44no—
831C22×D59—44no—
832C22×D59—44no—
833C22×D59—44no—
834C22×D59—44no—
835C22×D59—88no—
836C22×D59—88no—
837C22×D59—88no—
838C22×D59C2512yes—
839C22×D59C2512yes—
840C22×D59C2512yes—
841C22×D59C2512yes—
842C22×D59C2512yes—
843Q8×C59—44no—
844D4×C59—28no—
845D4×C59—44no—
846D4×C59—44no—
847C2×C4×C59—22no—
848C2×C4×C59—22no—
849C2×C4×C59—28no—
850C2×C4×C59—22no—
851C2×C4×C59—22no—
852C2×C4×C59—22no—
853C2×C4×C59—22no—
854C2×C4×C59—22no—
855C2×C4×C59—22no—
856C2×C4×C59—22no—
857C2×C4×C59—22no—
858C2×C4×C59—22no—
859C2×C4×C59—44no—
860C2×C4×C59—44no—
861C2×C4×C59—44no—
862C2×C4×C59—44no—
863C2×C4×C59C2512yes—
864C2×C4×C59C2512yes—
865C2×C4×C59C2512yes—
866C2×C4×C59C2512yes—
867C2×C4×C59C2512yes—
868C2×C4×C59C2512yes—
869C2×C4×C59C2512yes—
870C2×C4×C59C2512yes—
871C2×C4×C59C2512yes—
872C2×C4×C59C2512yes—
873C2×C4×C59C2512yes—
874C22⋊D59—28no—
875C22⋊D59—28no—
876C22⋊D59—28no—
877C22⋊D59—44no—
878C22⋊D59—44no—
879C22⋊D59—44no—
880C22⋊D59—44no—
881C22⋊D59—44no—
882C22⋊D59—44no—
883C22⋊D59—44no—
884C22⋊D59—44no—
885C22⋊D59—44no—
886C22⋊D59—44no—
887C22⋊D59—44no—
888C2×Dic59—22no—
889C2×Dic59—22no—
890C2×Dic59—28no—
891C2×Dic59—28no—
892C2×Dic59—22no—
893C2×Dic59—22no—
894C2×Dic59—22no—
895C2×Dic59—22no—
896C2×Dic59—22no—
897C2×Dic59—22no—
898C2×Dic59—22no—
899C2×Dic59—22no—
900C2×Dic59—22no—
901C2×Dic59—44no—
902C2×Dic59—44no—
903C2×Dic59—44no—
904C2×Dic59C2512yes—
905C2×Dic59C2512yes—
906C2×Dic59C2512yes—
907C2×Dic59C2512yes—
908C2×Dic59C2512yes—
909C2×Dic59C2512yes—
910C2×Dic59C2512yes—
911C2×Dic59C2512yes—
912C2×Dic59C2512yes—
913C2×Dic59C2512yes—
914C2×Dic59C2512yes—
915D236—44no—
916D236—44no—
917D236—44no—
918D236—44no—
919D236—44no—
920D236—44no—
921D236—44no—
922C4×D59—44no—
923C4×D59—44no—
924C4×D59—44no—
925C4×D59—44no—
926C4×D59—44no—
927C4×D59—44no—
928C4×D59—44no—
929C4×D59—44no—
930C4×D59—44no—
931Dic118—44no—
932Dic118—44no—
933Dic118—44no—
934Dic118—44no—
935Dic118—44no—
936Dic118—44no—
937Dic118—44no—
938C2×#3545—591nomaximal, Sylow
939C22×C59—22no—
940C22×C59—22no—
941C22×C59—28no—
942C22×C59—22no—
943C22×C59—22no—
944C22×C59—22no—
945C22×C59—22no—
946C22×C59—22no—
947C22×C59—22no—
948C22×C59—22no—
949C22×C59—22no—
950C22×C59—22no—
951C22×C59—44no—
952C22×C59—44no—
953C22×C59—44no—
954C22×C59—88no—
955C22×C59C2×H(5,𝔽2)14yes—
956C22×C59C2×H(5,𝔽2)12yes—
957C22×C59#58512yes—
958C22×C59#58512yes—
959C22×C59C2611yescharacteristic
960C2×D59—22no—
961C2×D59—22no—
962C2×D59—22no—
963C2×D59—22no—
964C2×D59—22no—
965C2×D59—22no—
966C2×D59—22no—
967C2×D59—22no—
968C2×D59—22no—
969C2×D59—22no—
970C2×D59—22no—
971C2×D59—22no—
972C2×D59—22no—
973C2×D59—22no—
974C2×D59—22no—
975C2×D59—44no—
976C2×D59—44no—
977C2×D59—44no—
978C2×D59—44no—
979C2×D59—44no—
980C2×D59—88no—
981C2×D59—88no—
982C2×D59—88no—
983C4×C59—22no—
984C4×C59—22no—
985C4×C59—22no—
986C4×C59—22no—
987C4×C59—22no—
988C4×C59—22no—
989C4×C59—22no—
990C4×C59—22no—
991C4×C59—22no—
992C4×C59—22no—
993C4×C59—22no—
994Dic59—22no—
995Dic59—22no—
996Dic59—22no—
997Dic59—22no—
998Dic59—22no—
999Dic59—22no—
1000Dic59—22no—
1001Dic59—22no—
1002Dic59—22no—
1003Dic59—22no—
1004Dic59—22no—
1005#3545—5932no—
1006C2×#563—591no—
1007C2×#562—591no—
1008C2×#562—591no—
1009C2×H(3,𝔽4)—591no—
1010C2×#555—591no—
1011C2×#555—591no—
1012C2×#551—591no—
1013C2×#551—591no—
1014C2×#551—591no—
1015C2×#551—591no—
1016C2×#551—591no—
1017C2×#551D5911yescharacteristic, complemented
1018C2×#546—591no—
1019C2×#546—591no—
1020C2×#546—591no—
1021C2×#546—591no—
1022C2×#542—591no—
1023C2×#542—591no—
1024C2×#542—591no—
1025C2×#542—591no—
1026C2×#538—591no—
1027C2×#538—591no—
1028C2×#538—591no—
1029C2×#538—591no—
1030C2×#536—591no—
1031C2×#536—591no—
1032C2×#534—591no—
1033C2×#534—591no—
1034C2×#529—591no—
1035C2×#529—591no—
1036C22×#124—591no—
1037C2×C59—24no—
1038C2×C59—42no—
1039C2×C59—42no—
1040C2×C59—42no—
1041C2×C59#354514yescomplemented
1042C2×C59C22×H(5,𝔽2)11yescharacteristic
1043C2×C59C2×#58511yescharacteristic
1044C2×C59C2×#58511yescharacteristic
1045D59—42no—
1046D59—42no—
1047D59—42no—
1048D59—42no—
1049D59—42no—
1050C22×#41—591no—
1051C22×#41—591no—
1052C23×Q8—591no—
1053C23×D4—591no—
1054C23×D4—591no—
1055C23×D4—591no—
1056#563—5916no—
1057#562—5916no—
1058#562—5916no—
1059H(3,𝔽4)—5916no—
1060#555—5916no—
1061#555—5916no—
1062#551—5916no—
1063#551—5916no—
1064#551—5916no—
1065#551—5916no—
1066#551—5916no—
1067#551C2×D59116yescomplemented
1068#546—5916no—
1069#546—5916no—
1070#546—5916no—
1071#546—5916no—
1072#542—5916no—
1073#542—5916no—
1074#542—5916no—
1075#542—5916no—
1076#538—5916no—
1077#538—5916no—
1078#538—5916no—
1079#538—5916no—
1080#536—5916no—
1081#536—5916no—
1082#534—5916no—
1083#534—5916no—
1084C2×C4⋊Q8—591no—
1085C2×C4⋊Q8—591no—
1086C2×C4⋊Q8—591no—
1087C2×C4⋊Q8—591no—
1088#529—5916no—
1089#529—5916no—
1090C2×#126—591no—
1091C2×#126—591no—
1092C2×#126—591no—
1093C2×#126—591no—
1094C2×#126—591no—
1095C2×#126—591no—
1096C2×#126—591no—
1097C2×#126—591no—
1098C2×#126—591no—
1099C2×#126—591no—
1100C2×#126C2×D5911yescharacteristic, complemented
1101C2×#126C2×D5911yescharacteristic, complemented
1102C2×#125—591no—
1103C2×#125—591no—
1104C2×#124—591no—
1105C2×#124—591no—
1106C2×#124—591no—
1107C2×#124—591no—
1108C2×#124—591no—
1109C2×#124—591no—
1110C2×#124—591no—
1111C2×#124—591no—
1112C2×#124—591no—
1113C2×#124—591no—
1114C2×#124—591no—
1115C2×#124—591no—
1116C2×#124—591no—
1117C2×#124—591no—
1118C2×#124—591no—
1119C2×#124—591no—
1120C2×#124—591no—
1121C2×#124—5916no—
1122C2×#124—591no—
1123C2×#124—591no—
1124C2×#124—591no—
1125C2×#124—591no—
1126C2×#124C2×D5911yescharacteristic, complemented
1127C2×#123—591no—
1128C2×#123—591no—
1129C2×#123—591no—
1130C2×#123—591no—
1131C2×#123—591no—
1132C2×#123—591no—
1133C2×#123—591no—
1134C2×#123—591no—
1135C2×#123—591no—
1136C2×#123—591no—
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×#123C2×D5911yescharacteristic, complemented
1149C2×#123C2×D5911yescharacteristic, complemented
1150C2×#123C2×D5911yescharacteristic, complemented
1151C2×C22⋊Q8—591no—
1152C2×C22⋊Q8—591no—
1153C2×C22⋊Q8—591no—
1154C2×C22⋊Q8—591no—
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—591no—
1163C2×C22⋊Q8—591no—
1164C2×C22⋊Q8—591no—
1165C2×C22⋊Q8—591no—
1166C2×C22⋊Q8—591no—
1167C2×C22⋊Q8C2×D5911yescharacteristic, complemented
1168C2×C22⋊Q8C2×D5911yescharacteristic, complemented
1169C2×#121—591no—
1170C2×#121—591no—
1171C2×#121—591no—
1172C2×#121—591no—
1173C2×#121—591no—
1174C2×#121—591no—
1175C2×#121—591no—
1176C2×#121—591no—
1177C2×#121—591no—
1178C2×#121—591no—
1179C2×#121—591no—
1180C2×#121—591no—
1181C2×#121—591no—
1182C2×#121—591no—
1183C2×#121—591no—
1184C2×#121—591no—
1185C2×#121—591no—
1186C2×#121—591no—
1187C2×#120—591no—
1188C2×#120—591no—
1189C2×#120—591no—
1190C2×#120—591no—
1191C2×#120—591no—
1192C2×#120—591no—
1193C2×#120—591no—
1194C2×#120—591no—
1195C2×#120—591no—
1196C2×#120—591no—
1197C2×#120—591no—
1198C2×#120C2×D5911yescharacteristic
1199C2×C4×Q8—591no—
1200C2×C4×Q8—591no—
1201C2×C4×D4—591no—
1202C2×C4×D4—591no—
1203C2×C4×D4—591no—
1204C2×C4×D4—591no—
1205C2×C4×D4—591no—
1206C2×C4×D4—591no—
1207C2×C4×D4—591no—
1208C2×C4×D4—591no—
1209C2×C4×D4—591no—
1210C2×C4×D4—591no—
1211C2×C4×D4—591no—
1212C2×C4×D4—591no—
1213C2×C4×D4C2×D5911yescharacteristic, complemented
1214C2×C4×D4C2×D5911yescharacteristic, complemented
1215C2×#117—591no—
1216C2×#117—591no—
1217C2×#117—591no—
1218C2×#117—591no—
1219C2×#117—591no—
1220C2×#117—591no—
1221C2×#117—591no—
1222C2×#117—591no—
1223C2×#117C2×D5911yescharacteristic, complemented
1224C2×#117C2×D5911yescharacteristic, complemented
1225C22×C22⋊C4—591no—
1226C22×C22⋊C4—591no—
1227C22×C22⋊C4—591no—
1228C22×C22⋊C4—591no—
1229C22×C22⋊C4—591no—
1230C22×C22⋊C4—591no—
1231C22×C22⋊C4—591no—
1232C22×C22⋊C4—591no—
1233C22×C22⋊C4C2×D5911yescharacteristic, complemented
1234C22×C22⋊C4C2×D5911yescharacteristic, complemented
1235C22×C42—591no—
1236C59C2×#354511yescharacteristic, complemented, Sylow
1237C25—591no—
1238C25—591no—
1239C25—591no—
1240C25C22×D5911yescharacteristic
1241C2×#41—598no—
1242C2×#41—598no—
1243C2×#41—2364no—
1244C2×#41—2364no—
1245C22×Q8—591no—
1246C22×Q8—591no—
1247C22×Q8—591no—
1248C22×Q8—591no—
1249C22×Q8—591no—
1250C22×Q8—591no—
1251C22×Q8—591no—
1252C22×Q8—598no—
1253C22×Q8—2364no—
1254C22×Q8C22×D5911yescharacteristic
1255C22×D4—591no—
1256C22×D4—591no—
1257C22×D4—591no—
1258C22×D4—591no—
1259C22×D4—591no—
1260C22×D4—591no—
1261C22×D4—591no—
1262C22×D4—591no—
1263C22×D4—591no—
1264C22×D4—591no—
1265C22×D4—591no—
1266C22×D4—591no—
1267C22×D4—591no—
1268C22×D4—591no—
1269C22×D4—598no—
1270C22×D4—598no—
1271C22×D4—598no—
1272C22×D4—591no—
1273C22×D4—591no—
1274C22×D4—591no—
1275C22×D4—591no—
1276C22×D4—591no—
1277C22×D4—591no—
1278C22×D4—591no—
1279C22×D4—2364no—
1280C22×D4—2364no—
1281C22×D4—2364no—
1282C22×D4C22×D5911yescharacteristic
1283C22×D4C22×D5911yescharacteristic
1284C22×D4C22×D5911yescharacteristic
1285C23×C4—591no—
1286C23×C4—591no—
1287C23×C4—591no—
1288C23×C4—591no—
1289C23×C4—591no—
1290C23×C4—591no—
1291C23×C4—591no—
1292C23×C4—591no—
1293C23×C4—591no—
1294C23×C4—591no—
1295C23×C4—591no—
1296C23×C4—591no—
1297C23×C4—591no—
1298C23×C4—591no—
1299C23×C4C22×D5911yescharacteristic
1300C23×C4C22×D5911yescharacteristic
1301C23×C4C22×D5911yescharacteristic
1302C23×C4C22×D5911yescharacteristic
1303C23×C4C22×D5911yescharacteristic
1304C4⋊Q8—598no—
1305C4⋊Q8—598no—
1306C4⋊Q8—598no—
1307C4⋊Q8—598no—
1308#126—598no—
1309#126—598no—
1310#126—598no—
1311#126—598no—
1312#126—598no—
1313#126—598no—
1314#126—598no—
1315#126—598no—
1316#126—598no—
1317#126—598no—
1318#126C22×D5918yescomplemented
1319#126C22×D5918yescomplemented
1320#125—598no—
1321#125—598no—
1322#124—598no—
1323#124—598no—
1324#124—598no—
1325#124—598no—
1326#124—598no—
1327#124—598no—
1328#124—598no—
1329#124—598no—
1330#124—598no—
1331#124—598no—
1332#124—598no—
1333#124—598no—
1334#124—598no—
1335#124—598no—
1336#124—598no—
1337#124—598no—
1338#124—598no—
1339#124—598no—
1340#124—598no—
1341#124—598no—
1342#124—598no—
1343#124C22×D5918yescomplemented
1344#123—598no—
1345#123—598no—
1346#123—598no—
1347#123—598no—
1348#123—598no—
1349#123—598no—
1350#123—598no—
1351#123—598no—
1352#123—598no—
1353#123—598no—
1354#123—598no—
1355#123—598no—
1356#123—598no—
1357#123—598no—
1358#123—598no—
1359#123—598no—
1360#123—598no—
1361#123—598no—
1362#123—598no—
1363#123—598no—
1364#123—598no—
1365#123C22×D5918yescomplemented
1366#123C22×D5918yescomplemented
1367#123C22×D5918yescomplemented
1368C22⋊Q8—598no—
1369C22⋊Q8—598no—
1370C22⋊Q8—598no—
1371C22⋊Q8—598no—
1372C22⋊Q8—598no—
1373C22⋊Q8—598no—
1374C22⋊Q8—598no—
1375C22⋊Q8—598no—
1376C22⋊Q8—598no—
1377C22⋊Q8—598no—
1378C22⋊Q8—598no—
1379C22⋊Q8—598no—
1380C22⋊Q8—598no—
1381C22⋊Q8—598no—
1382C22⋊Q8—598no—
1383C22⋊Q8—598no—
1384C22⋊Q8C22×D5918yescomplemented
1385C22⋊Q8C22×D5918yescomplemented
1386#121—598no—
1387#121—598no—
1388#121—598no—
1389#121—598no—
1390#121—598no—
1391#121—598no—
1392#121—598no—
1393#121—598no—
1394#121—598no—
1395#121—598no—
1396#121—598no—
1397#121—598no—
1398#121—598no—
1399#121—598no—
1400#121—598no—
1401#121—598no—
1402#121—598no—
1403#121—598no—
1404#120—598no—
1405#120—598no—
1406#120—598no—
1407#120—598no—
1408#120—598no—
1409#120—598no—
1410#120—598no—
1411#120—598no—
1412#120—598no—
1413#120—598no—
1414#120—598no—
1415#120C22×D5918yes—
1416C4×Q8—598no—
1417C4×Q8—598no—
1418C4×D4—598no—
1419C4×D4—598no—
1420C4×D4—598no—
1421C4×D4—598no—
1422C4×D4—598no—
1423C4×D4—598no—
1424C4×D4—598no—
1425C4×D4—598no—
1426C4×D4—598no—
1427C4×D4—598no—
1428C4×D4—598no—
1429C4×D4—598no—
1430C4×D4C22×D5918yescomplemented
1431C4×D4C22×D5918yescomplemented
1432#117—598no—
1433#117—598no—
1434#117—598no—
1435#117—598no—
1436#117—598no—
1437#117—598no—
1438#117—598no—
1439#117—598no—
1440#117C22×D5918yescomplemented
1441#117C22×D5918yescomplemented
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—591no—
1450C2×C4⋊C4—591no—
1451C2×C4⋊C4—591no—
1452C2×C4⋊C4—591no—
1453C2×C4⋊C4—591no—
1454C2×C4⋊C4—591no—
1455C2×C4⋊C4—591no—
1456C2×C4⋊C4—591no—
1457C2×C4⋊C4—591no—
1458C2×C4⋊C4—591no—
1459C2×C4⋊C4—591no—
1460C2×C4⋊C4—591no—
1461C2×C4⋊C4—591no—
1462C2×C4⋊C4—591no—
1463C2×C4⋊C4—591no—
1464C2×C4⋊C4—591no—
1465C2×C4⋊C4—591no—
1466C2×C4⋊C4C22×D5911yescharacteristic
1467C2×C4⋊C4C22×D5911yescharacteristic
1468C2×C4⋊C4C22×D5911yescharacteristic
1469C2×C4⋊C4C22×D5911yescharacteristic
1470C2×C4⋊C4C22×D5911yescharacteristic
1471C2×C4⋊C4C22×D5911yescharacteristic
1472C2×C4⋊C4C22×D5911yescharacteristic
1473C2×C4⋊C4C22×D5911yescharacteristic
1474C2×C22⋊C4—591no—
1475C2×C22⋊C4—591no—
1476C2×C22⋊C4—591no—
1477C2×C22⋊C4—591no—
1478C2×C22⋊C4—591no—
1479C2×C22⋊C4—591no—
1480C2×C22⋊C4—591no—
1481C2×C22⋊C4—598no—
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⋊C4—591no—
1494C2×C22⋊C4—591no—
1495C2×C22⋊C4—591no—
1496C2×C22⋊C4—591no—
1497C2×C22⋊C4—591no—
1498C2×C22⋊C4—591no—
1499C2×C22⋊C4—591no—
1500C2×C22⋊C4—591no—
1501C2×C22⋊C4—591no—
1502C2×C22⋊C4—591no—
1503C2×C22⋊C4—598no—
1504C2×C22⋊C4—598no—
1505C2×C22⋊C4—598no—
1506C2×C22⋊C4—591no—
1507C2×C22⋊C4—591no—
1508C2×C22⋊C4—591no—
1509C2×C22⋊C4—591no—
1510C2×C22⋊C4—591no—
1511C2×C22⋊C4—591no—
1512C2×C22⋊C4—591no—
1513C2×C22⋊C4—591no—
1514C2×C22⋊C4—591no—
1515C2×C22⋊C4—591no—
1516C2×C22⋊C4—591no—
1517C2×C22⋊C4—591no—
1518C2×C22⋊C4—591no—
1519C2×C22⋊C4—591no—
1520C2×C22⋊C4—598no—
1521C2×C22⋊C4—598no—
1522C2×C22⋊C4—598no—
1523C2×C22⋊C4—598no—
1524C2×C22⋊C4C22×D5911yescharacteristic
1525C2×C22⋊C4C22×D5911yescharacteristic
1526C2×C22⋊C4C22×D5911yescharacteristic
1527C2×C22⋊C4C22×D5911yescharacteristic
1528C2×C22⋊C4C22×D5911yescharacteristic
1529C2×C22⋊C4C22×D5911yescharacteristic
1530C2×C22⋊C4C22×D5911yescharacteristic
1531C2×C22⋊C4C22×D5911yescharacteristic
1532C2×C22⋊C4C22×D5911yescharacteristic
1533C2×C22⋊C4C22×D5911yescharacteristic
1534C2×C22⋊C4C22×D5911yescharacteristic
1535C2×C22⋊C4C22×D5911yescharacteristic
1536C2×C22⋊C4C22×D5911yescharacteristic
1537C2×C22⋊C4C22×D5911yescharacteristic
1538C2×C22⋊C4C22×D5918yescomplemented
1539C2×C22⋊C4C22×D5918yescomplemented
1540C2×C42—591no—
1541C2×C42—591no—
1542C2×C42—591no—
1543C2×C42—591no—
1544C2×C42—591no—
1545C2×C42—591no—
1546C2×C42—591no—
1547C2×C42—591no—
1548C2×C42—591no—
1549C2×C42—598no—
1550C2×C42C22×D5911yescharacteristic
1551C2×C42C22×D5911yescharacteristic
1552C2×C42C22×D5911yescharacteristic
1553C24—24no—
1554C24—42no—
1555C24—42no—
1556C24—591no—
1557C24—591no—
1558C24—591no—
1559C24—591no—
1560C24—591no—
1561C24—594no—
1562C24—594no—
1563C24—594no—
1564C24—1184no—
1565C24—2362no—
1566C24—2362no—
1567C24—2362no—
1568C24—2362no—
1569C24—2362no—
1570C24—2362no—
1571C24—2362no—
1572C24—2362no—
1573C24C23×D5911yescharacteristic
1574C24C23×D5911yescharacteristic
1575C24C23×D5911yescharacteristic
1576C24C23×D5911yescharacteristic
1577C24C23×D5914yes—
1578#41—23616no—
1579#41—23616no—
1580C2×Q8—42no—
1581C2×Q8—594no—
1582C2×Q8—594no—
1583C2×Q8—594no—
1584C2×Q8—594no—
1585C2×Q8—594no—
1586C2×Q8—594no—
1587C2×Q8—594no—
1588C2×Q8—2362no—
1589C2×Q8—2362no—
1590C2×Q8—2362no—
1591C2×Q8—2362no—
1592C2×Q8—23616no—
1593C2×Q8—2362no—
1594C2×Q8—2362no—
1595C2×Q8—2362no—
1596C2×Q8C23×D5914yes—
1597C2×D4—24no—
1598C2×D4—42no—
1599C2×D4—42no—
1600C2×D4—594no—
1601C2×D4—594no—
1602C2×D4—594no—
1603C2×D4—594no—
1604C2×D4—594no—
1605C2×D4—594no—
1606C2×D4—594no—
1607C2×D4—594no—
1608C2×D4—594no—
1609C2×D4—594no—
1610C2×D4—594no—
1611C2×D4—594no—
1612C2×D4—594no—
1613C2×D4—594no—
1614C2×D4—594no—
1615C2×D4—594no—
1616C2×D4—594no—
1617C2×D4—594no—
1618C2×D4—594no—
1619C2×D4—594no—
1620C2×D4—594no—
1621C2×D4—1184no—
1622C2×D4—1184no—
1623C2×D4—1184no—
1624C2×D4—2362no—
1625C2×D4—2362no—
1626C2×D4—2362no—
1627C2×D4—2362no—
1628C2×D4—2362no—
1629C2×D4—2362no—
1630C2×D4—2362no—
1631C2×D4—2362no—
1632C2×D4—2362no—
1633C2×D4—2362no—
1634C2×D4—2362no—
1635C2×D4—23616no—
1636C2×D4—2362no—
1637C2×D4—2362no—
1638C2×D4—2362no—
1639C2×D4—2362no—
1640C2×D4—2362no—
1641C2×D4—2362no—
1642C2×D4—2362no—
1643C2×D4—23616no—
1644C2×D4—23616no—
1645C2×D4C23×D5914yes—
1646C2×D4C23×D5914yes—
1647C2×D4C23×D5914yes—
1648C22×C4—24no—
1649C22×C4—42no—
1650C22×C4—42no—
1651C22×C4—42no—
1652C22×C4—42no—
1653C22×C4—594no—
1654C22×C4—594no—
1655C22×C4—591no—
1656C22×C4—591no—
1657C22×C4—591no—
1658C22×C4—591no—
1659C22×C4—591no—
1660C22×C4—591no—
1661C22×C4—591no—
1662C22×C4—591no—
1663C22×C4—591no—
1664C22×C4—591no—
1665C22×C4—591no—
1666C22×C4—594no—
1667C22×C4—594no—
1668C22×C4—594no—
1669C22×C4—594no—
1670C22×C4—594no—
1671C22×C4—594no—
1672C22×C4—594no—
1673C22×C4—594no—
1674C22×C4—594no—
1675C22×C4—594no—
1676C22×C4—594no—
1677C22×C4—594no—
1678C22×C4—1184no—
1679C22×C4—1184no—
1680C22×C4—2362no—
1681C22×C4—2362no—
1682C22×C4—2362no—
1683C22×C4—2362no—
1684C22×C4—2362no—
1685C22×C4—2362no—
1686C22×C4—2362no—
1687C22×C4—2362no—
1688C22×C4—2362no—
1689C22×C4—2362no—
1690C22×C4—2362no—
1691C22×C4—2362no—
1692C22×C4C23×D5914yes—
1693C22×C4C23×D5911yescharacteristic
1694C22×C4C23×D5911yescharacteristic
1695C22×C4C23×D5911yescharacteristic
1696C22×C4C23×D5911yescharacteristic
1697C22×C4C23×D5911yescharacteristic
1698C22×C4C23×D5911yescharacteristic
1699C22×C4C23×D5911yescharacteristic
1700C22×C4C23×D5911yescharacteristic
1701C22×C4C23×D5911yescharacteristic
1702C22×C4C23×D5911yescharacteristic
1703C22×C4C23×D5911yescharacteristic
1704C22×C4C23×D5914yes—
1705C22×C4C23×D5914yes—
1706C22×C4C23×D5914yes—
1707C22×C4C23×D5914yes—
1708C4⋊C4—594no—
1709C4⋊C4—594no—
1710C4⋊C4—594no—
1711C4⋊C4—594no—
1712C4⋊C4—594no—
1713C4⋊C4—594no—
1714C4⋊C4—594no—
1715C4⋊C4—594no—
1716C4⋊C4—594no—
1717C4⋊C4—594no—
1718C4⋊C4—594no—
1719C4⋊C4—594no—
1720C4⋊C4—594no—
1721C4⋊C4—594no—
1722C4⋊C4—594no—
1723C4⋊C4—594no—
1724C4⋊C4—594no—
1725C4⋊C4—594no—
1726C4⋊C4—594no—
1727C4⋊C4—594no—
1728C4⋊C4—594no—
1729C4⋊C4—594no—
1730C4⋊C4—594no—
1731C4⋊C4—594no—
1732C4⋊C4C23×D5914yes—
1733C4⋊C4C23×D5914yes—
1734C4⋊C4C23×D5914yes—
1735C4⋊C4C23×D5914yes—
1736C4⋊C4C23×D5914yes—
1737C4⋊C4C23×D5914yes—
1738C4⋊C4C23×D5914yes—
1739C4⋊C4C23×D5914yes—
1740C22⋊C4—594no—
1741C22⋊C4—594no—
1742C22⋊C4—594no—
1743C22⋊C4—594no—
1744C22⋊C4—594no—
1745C22⋊C4—594no—
1746C22⋊C4—594no—
1747C22⋊C4—594no—
1748C22⋊C4—594no—
1749C22⋊C4—594no—
1750C22⋊C4—594no—
1751C22⋊C4—594no—
1752C22⋊C4—594no—
1753C22⋊C4—594no—
1754C22⋊C4—594no—
1755C22⋊C4—594no—
1756C22⋊C4—594no—
1757C22⋊C4—594no—
1758C22⋊C4—594no—
1759C22⋊C4—594no—
1760C22⋊C4—594no—
1761C22⋊C4—594no—
1762C22⋊C4—594no—
1763C22⋊C4—594no—
1764C22⋊C4—594no—
1765C22⋊C4—594no—
1766C22⋊C4—594no—
1767C22⋊C4—594no—
1768C22⋊C4—594no—
1769C22⋊C4—594no—
1770C22⋊C4—594no—
1771C22⋊C4—594no—
1772C22⋊C4—594no—
1773C22⋊C4—594no—
1774C22⋊C4—594no—
1775C22⋊C4—594no—
1776C22⋊C4—594no—
1777C22⋊C4—594no—
1778C22⋊C4—594no—
1779C22⋊C4—594no—
1780C22⋊C4—594no—
1781C22⋊C4—594no—
1782C22⋊C4C23×D5914yes—
1783C22⋊C4C23×D5914yes—
1784C22⋊C4C23×D5914yes—
1785C22⋊C4C23×D5914yes—
1786C22⋊C4C23×D5914yes—
1787C22⋊C4C23×D5914yes—
1788C22⋊C4C23×D5914yes—
1789C22⋊C4C23×D5914yes—
1790C22⋊C4C23×D5914yes—
1791C22⋊C4C23×D5914yes—
1792C22⋊C4C23×D5914yes—
1793C22⋊C4C23×D5914yes—
1794C22⋊C4C23×D5914yes—
1795C22⋊C4C23×D5914yes—
1796C42—594no—
1797C42—594no—
1798C42—594no—
1799C42—594no—
1800C42—594no—
1801C42—594no—
1802C42—594no—
1803C42—594no—
1804C42—594no—
1805C42C23×D5914yes—
1806C42C23×D5914yes—
1807C42C23×D5914yes—
1808C23—22no—
1809C23—22no—
1810C23—22no—
1811C23—22no—
1812C23—22no—
1813C23—22no—
1814C23—22no—
1815C23—22no—
1816C23—22no—
1817C23—22no—
1818C23—22no—
1819C23—28no—
1820C23—44no—
1821C23—44no—
1822C23—88no—
1823C23—592no—
1824C23—592no—
1825C23—592no—
1826C23—592no—
1827C23—592no—
1828C23—1188no—
1829C23—1182no—
1830C23—1182no—
1831C23—1182no—
1832C23—1182no—
1833C23—1182no—
1834C23—1182no—
1835C23—1182no—
1836C23—1182no—
1837C23—1182no—
1838C23—1182no—
1839C23—1182no—
1840C23—1182no—
1841C23—1182no—
1842C23—1182no—
1843C23—1182no—
1844C23—4728no—
1845C23—4728no—
1846C23—4728no—
1847C23—2364no—
1848C23—2364no—
1849C23—2364no—
1850C23—2364no—
1851C23—2364no—
1852C23—2364no—
1853C23—2364no—
1854C23—2364no—
1855C23#1427377314yes—
1856C23C24×D5912yes—
1857C23C24×D5912yes—
1858C23C24×D5912yes—
1859C23C24×D5912yes—
1860C23C24×D5911yescharacteristic
1861Q8—44no—
1862Q8—2364no—
1863Q8—2364no—
1864Q8—2364no—
1865Q8—2364no—
1866Q8—2364no—
1867Q8—2364no—
1868Q8—2364no—
1869D4—28no—
1870D4—44no—
1871D4—44no—
1872D4—1188no—
1873D4—1188no—
1874D4—1188no—
1875D4—2364no—
1876D4—2364no—
1877D4—2364no—
1878D4—2364no—
1879D4—2364no—
1880D4—2364no—
1881D4—2364no—
1882D4—2364no—
1883D4—2364no—
1884D4—2364no—
1885D4—2364no—
1886D4—2364no—
1887D4—2364no—
1888D4—2364no—
1889D4—2364no—
1890D4—2364no—
1891D4—2364no—
1892D4—2364no—
1893C2×C4—22no—
1894C2×C4—22no—
1895C2×C4—28no—
1896C2×C4—22no—
1897C2×C4—22no—
1898C2×C4—22no—
1899C2×C4—22no—
1900C2×C4—22no—
1901C2×C4—22no—
1902C2×C4—22no—
1903C2×C4—22no—
1904C2×C4—22no—
1905C2×C4—44no—
1906C2×C4—44no—
1907C2×C4—44no—
1908C2×C4—44no—
1909C2×C4—592no—
1910C2×C4—592no—
1911C2×C4—592no—
1912C2×C4—592no—
1913C2×C4—592no—
1914C2×C4—592no—
1915C2×C4—592no—
1916C2×C4—592no—
1917C2×C4—592no—
1918C2×C4—592no—
1919C2×C4—592no—
1920C2×C4—1182no—
1921C2×C4—1188no—
1922C2×C4—1182no—
1923C2×C4—1182no—
1924C2×C4—1182no—
1925C2×C4—1188no—
1926C2×C4—1182no—
1927C2×C4—1182no—
1928C2×C4—1182no—
1929C2×C4—1182no—
1930C2×C4—1182no—
1931C2×C4—1182no—
1932C2×C4—1182no—
1933C2×C4—2364no—
1934C2×C4—2364no—
1935C2×C4—2364no—
1936C2×C4—2364no—
1937C2×C4—2364no—
1938C2×C4—2364no—
1939C2×C4—2364no—
1940C2×C4—2364no—
1941C2×C4—2364no—
1942C2×C4—2364no—
1943C2×C4—2364no—
1944C2×C4—2364no—
1945C2×C4C24×D5912yes—
1946C2×C4C24×D5912yes—
1947C2×C4C24×D5912yes—
1948C2×C4C24×D5912yes—
1949C2×C4C24×D5912yes—
1950C2×C4C24×D5912yes—
1951C2×C4C24×D5912yes—
1952C2×C4C24×D5912yes—
1953C2×C4C24×D5912yes—
1954C2×C4C24×D5912yes—
1955C2×C4C24×D5912yes—
1956C22—22no—
1957C22—22no—
1958C22—28no—
1959C22—22no—
1960C22—22no—
1961C22—22no—
1962C22—22no—
1963C22—22no—
1964C22—22no—
1965C22—22no—
1966C22—22no—
1967C22—22no—
1968C22—44no—
1969C22—44no—
1970C22—44no—
1971C22—88no—
1972C22—1182no—
1973C22—1182no—
1974C22—1182no—
1975C22—1182no—
1976C22—1182no—
1977C22—1182no—
1978C22—1182no—
1979C22—1182no—
1980C22—1182no—
1981C22—1182no—
1982C22—1182no—
1983C22—1182no—
1984C22—1182no—
1985C22—1182no—
1986C22—1182no—
1987C22—4728no—
1988C22—4728no—
1989C22—4728no—
1990C22—2364no—
1991C22—2364no—
1992C22—2364no—
1993C22—2364no—
1994C22—2364no—
1995C22C2×#1427377314yes—
1996C22C2×#1427377312yes—
1997C22#1683823712yes—
1998C22#1683823812yes—
1999C22C25×D5911yescharacteristic
2000C4—22no—
2001C4—22no—
2002C4—22no—
2003C4—22no—
2004C4—22no—
2005C4—22no—
2006C4—22no—
2007C4—22no—
2008C4—22no—
2009C4—22no—
2010C4—22no—
2011C4—1182no—
2012C4—1182no—
2013C4—1182no—
2014C4—1182no—
2015C4—1182no—
2016C4—1182no—
2017C4—1182no—
2018C4—1182no—
2019C4—1182no—
2020C4—1182no—
2021C4—1182no—
2022C2—24no—
2023C2—42no—
2024C2—42no—
2025C2—42no—
2026C2—2362no—
2027C2—2362no—
2028C2—2362no—
2029C2—2362no—
2030C2—2362no—
2031C2#2143845214yesdirect product factor
2032C2C22×#1427377311yescharacteristic
2033C2C2×#1683823711yescharacteristic
2034C2C2×#1683823811yescharacteristic
subgroupG/H
centerC23C24×D59
commutator, cosocleC22×C59C26
FrattiniC22C25×D59
FittingC2×C59×#551C2
socleC23×C59C25
hypercenterC2×#551D59
hypocenterC59C2×#3545
LCSG ▷ C22×C59 ▷ C59
UCSC1 ◁ C23 ◁ C2×#551

Complements

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

NH ≅ G/Ntype
1. #21438452C2direct (N × H)
2. C2×#16838154C2semidirect
3. C2×#16838149C2semidirect
4. C2×#16838148C2semidirect
5. C2×#16838144C2semidirect
6. C2×#16838117C2semidirect
7. C2×#16838115C2semidirect
8. C2×#16838079C2semidirect
9. C2×#16838078C2semidirect
10. C2×#16838077C2semidirect
11. C2×#16838076C2semidirect
12. C2×#16838075C2semidirect
13. C2×#16838047C2semidirect
14. C2×#16838044C2semidirect
15. C2×#16838042C2semidirect
16. C2×#16838039C2semidirect
17. C2×#16838025C2semidirect
18. C2×#16838023C2semidirect
19. C2×#16838021C2semidirect
20. C2×#16838018C2semidirect
21. C2×#16837991C2semidirect
22. C2×#16837988C2semidirect
23. C2×#16837988C2semidirect
24. C2×#16837985C2semidirect
25. C2×#16837978C2semidirect
26. C2×#16837974C2semidirect
27. C2×#16837964C2semidirect
28. C2×#16837962C2semidirect
29. C2×#16837938C2semidirect
30. C2×#16837932C2semidirect
31. C22×#14273713C2semidirect
32. C2×C59×#551C2semidirect
35. C23×Dic118C22semidirect
37. C23×C22⋊D59C22semidirect
38. C22×D4×D59C22semidirect
39. #16838154C22semidirect
40. #16838149C22semidirect
41. #16838148C22semidirect
42. #16838144C22semidirect
43. #16838117C22semidirect
44. #16838115C22semidirect
45. #16838079C22semidirect
46. #16838078C22semidirect
47. #16838077C22semidirect
48. #16838076C22semidirect
49. #16838075C22semidirect
50. #16838047C22semidirect
51. #16838044C22semidirect
52. #16838042C22semidirect
53. #16838039C22semidirect
54. #16838025C22semidirect
55. #16838023C22semidirect
56. #16838021C22semidirect
57. #16838018C22semidirect
58. #16837991C22semidirect
59. #16837988C22semidirect
60. #16837988C22semidirect
61. #16837985C22semidirect
62. #16837978C22semidirect
63. #16837974C22semidirect
64. #16837964C22semidirect
65. #16837962C22semidirect
66. C2×#14273727C22semidirect
67. C2×#14273727C22semidirect
68. C2×#14273726C22semidirect
69. C2×#14273726C22semidirect
70. #16837938C22semidirect
71. #16837932C22semidirect
72. C2×#14273722C22semidirect
73. C2×#14273722C22semidirect
74. C2×#14273722C22semidirect
75. C2×#14273722C22semidirect
76. C2×#14273722C22semidirect
77. C2×#14273722C22semidirect
78. C2×#14273721C22semidirect
79. C2×#14273720C22semidirect
80. C2×#14273720C22semidirect
81. C2×#14273720C22semidirect
82. C2×#14273718C22semidirect
83. C2×#14273717C22semidirect
84. C2×#14273716C22semidirect
85. C2×#14273716C22semidirect
86. C2×#14273715C22semidirect
87. C2×#14273715C22semidirect
88. C2×#14273715C22semidirect
89. C2×#14273715C22semidirect
92. C2×#14273713C22semidirect
93. C2×#14273713C22semidirect
94. C2×#14273713C22semidirect
95. C2×#14273713C22semidirect
96. C2×#14273713C22semidirect
97. C2×#14273713C22semidirect
98. C2×#14273713C22semidirect
99. C2×#14273713C22semidirect
100. C2×#14273713C22semidirect
101. C2×#14273713C22semidirect
102. C2×#14273713C22semidirect
103. C2×#14273713C22semidirect
104. C2×#14273713C22semidirect
105. C2×#14273713C22semidirect
106. C2×#14273712C22semidirect
107. C2×#14273712C22semidirect
108. C2×#14273712C22semidirect
109. C2×#14273712C22semidirect
110. C2×#14273712C22semidirect
112. C2×#14273711C22semidirect
113. C2×#14273711C22semidirect
114. C2×#14273711C22semidirect
115. C2×#14273711C22semidirect
116. C2×#14273711C22semidirect
117. C2×#14273711C22semidirect
118. C2×#14273711C22semidirect
119. C2×#14273710C22semidirect
120. C2×#14273710C22semidirect
122. C2×#14273709C22semidirect
123. C2×#14273709C22semidirect
124. C2×#14273709C22semidirect
125. C2×#14273709C22semidirect
126. C2×#14273708C22semidirect
127. C2×#14273707C22semidirect
128. C2×#14273707C22semidirect
129. C2×#14273707C22semidirect
130. C2×#14273707C22semidirect
131. C2×#14273707C22semidirect
132. C2×#14273706C22semidirect
133. C2×#14273705C22semidirect
134. C2×#14273705C22semidirect
135. C2×#14273705C22semidirect
136. C2×#14273705C22semidirect
137. C2×#14273704C22semidirect
138. C2×#14273704C22semidirect
139. C2×#14273704C22semidirect
140. C2×#14273704C22semidirect
141. C2×#14273704C22semidirect
142. C2×#14273703C22semidirect
143. C2×#14273702C22semidirect
144. C2×#14273702C22semidirect
148. C2×#14273701C22semidirect
149. C2×#14273701C22semidirect
150. C2×#14273701C22semidirect
152. C2×#14273700C22semidirect
153. C2×#14273700C22semidirect
154. C2×#14273700C22semidirect
155. C2×#14273700C22semidirect
157. C2×#14273699C22semidirect
159. C2×#14273698C22semidirect
160. C2×#14273698C22semidirect
164. C2×#14273697C22semidirect
165. C2×#14273697C22semidirect
166. C2×#14273697C22semidirect
167. C2×#14273697C22semidirect
170. C2×#14273695C22semidirect
171. C2×#14273695C22semidirect
172. C2×Q8×Dic59C22semidirect
173. C2×C4×Dic118C22semidirect
174. C2×C4×D236C22semidirect
175. C2×C4×D236C22semidirect
176. C2×D4×Dic59C22semidirect
177. C2×#14273689C22semidirect
178. C2×#14273689C22semidirect
179. C2×#14273689C22semidirect
180. C2×C4×C22⋊D59C22semidirect
181. C2×C4×C22⋊D59C22semidirect
182. C2×C4×C22⋊D59C22semidirect
183. C2×(C22⋊D59)⋊C4C22semidirect
184. C2×(C22⋊D59)⋊C4C22semidirect
185. C2×(C22⋊D59)⋊C4C22semidirect
186. C2×#14273686C22semidirect
187. C2×#14273686C22semidirect
188. C2×#14273685C22semidirect
189. C2×#14273685C22semidirect
190. C2×#14273685C22semidirect
191. C2×#14273684C22semidirect
192. C2×#14273684C22semidirect
193. C2×#14273683C22semidirect
194. C22×C22⋊Dic59C22semidirect
195. C22×(C2×D59)⋊C4C22semidirect
196. C22×(C2×D59)⋊C4C22semidirect
197. C22×(C2×D59)⋊C4C22semidirect
198. C2×C22⋊C4×D59C22semidirect
199. C2×C22⋊C4×D59C22semidirect
200. C2×C22⋊C4×D59C22semidirect
201. C2×C22⋊C4×D59C22semidirect
202. C22×C4×Dic59C22semidirect
203. C59×#551C22semidirect
204. C2×#126×C59C22semidirect
205. C2×#126×C59C22semidirect
206. C2×#124×C59C22semidirect
207. C2×#123×C59C22semidirect
208. C2×#123×C59C22semidirect
209. C2×#123×C59C22semidirect
210. C2×C22⋊Q8×C59C22semidirect
211. C2×C22⋊Q8×C59C22semidirect
213. C2×C4×D4×C59C22semidirect
214. C2×C4×D4×C59C22semidirect
215. C2×#117×C59C22semidirect
216. C2×#117×C59C22semidirect
217. C22×C22⋊C4×C59C22semidirect
218. C22×C22⋊C4×C59C22semidirect
234. C22×Dic118C23semidirect
259. C22×C22⋊D59C23semidirect
261. C2×D4×D59C23semidirect
276. #14273727C23semidirect
277. #14273727C23semidirect
278. #14273726C23semidirect
279. #14273726C23semidirect
280. #14273722C23semidirect
281. #14273722C23semidirect
282. #14273722C23semidirect
283. #14273722C23semidirect
284. #14273722C23semidirect
285. #14273722C23semidirect
286. #14273721C23semidirect
287. #14273720C23semidirect
288. #14273720C23semidirect
289. #14273720C23semidirect
290. #14273718C23semidirect
291. #14273717C23semidirect
292. #14273716C23semidirect
293. #14273716C23semidirect
294. #14273715C23semidirect
295. #14273715C23semidirect
296. #14273715C23semidirect
297. #14273715C23semidirect
300. #14273713C23semidirect
301. #14273713C23semidirect
302. #14273713C23semidirect
303. #14273713C23semidirect
304. #14273713C23semidirect
305. #14273713C23semidirect
306. #14273713C23semidirect
307. #14273713C23semidirect
308. #14273713C23semidirect
309. #14273713C23semidirect
310. #14273713C23semidirect
311. #14273713C23semidirect
312. #14273713C23semidirect
313. #14273712C23semidirect
314. #14273712C23semidirect
315. #14273712C23semidirect
316. #14273712C23semidirect
317. #14273712C23semidirect
319. #14273711C23semidirect
320. #14273711C23semidirect
321. #14273711C23semidirect
322. #14273711C23semidirect
323. #14273711C23semidirect
324. #14273711C23semidirect
325. #14273711C23semidirect
326. #14273710C23semidirect
327. #14273710C23semidirect
329. #14273709C23semidirect
330. #14273709C23semidirect
331. #14273709C23semidirect
332. #14273709C23semidirect
333. #14273708C23semidirect
334. #14273707C23semidirect
335. #14273707C23semidirect
336. #14273707C23semidirect
337. #14273707C23semidirect
338. #14273707C23semidirect
339. #14273706C23semidirect
340. #14273705C23semidirect
341. #14273705C23semidirect
342. #14273705C23semidirect
343. #14273705C23semidirect
344. #14273704C23semidirect
345. #14273704C23semidirect
346. #14273704C23semidirect
347. #14273704C23semidirect
348. #14273704C23semidirect
349. #14273703C23semidirect
350. #14273702C23semidirect
351. #14273702C23semidirect
355. #14273701C23semidirect
356. #14273701C23semidirect
357. #14273701C23semidirect
359. #14273700C23semidirect
360. #14273700C23semidirect
361. #14273700C23semidirect
362. #14273700C23semidirect
364. #14273699C23semidirect
366. #14273698C23semidirect
367. #14273698C23semidirect
371. #14273697C23semidirect
372. #14273697C23semidirect
373. #14273697C23semidirect
374. #14273697C23semidirect
377. #14273695C23semidirect
378. #14273695C23semidirect
379. Q8×Dic59C23semidirect
380. C4×Dic118C23semidirect
381. C4×D236C23semidirect
382. C4×D236C23semidirect
383. D4×Dic59C23semidirect
384. #14273689C23semidirect
385. #14273689C23semidirect
386. #14273689C23semidirect
387. C4×C22⋊D59C23semidirect
388. C4×C22⋊D59C23semidirect
389. C4×C22⋊D59C23semidirect
390. (C22⋊D59)⋊C4C23semidirect
391. (C22⋊D59)⋊C4C23semidirect
392. (C22⋊D59)⋊C4C23semidirect
393. #14273686C23semidirect
394. #14273686C23semidirect
395. #14273685C23semidirect
396. #14273685C23semidirect
397. #14273685C23semidirect
398. #14273684C23semidirect
399. #14273684C23semidirect
400. #14273683C23semidirect
435. C2×C22⋊Dic59C23semidirect
468. C2×(C2×D59)⋊C4C23semidirect
469. C2×(C2×D59)⋊C4C23semidirect
470. C2×(C2×D59)⋊C4C23semidirect
471. C22⋊C4×D59C23semidirect
472. C22⋊C4×D59C23semidirect
473. C22⋊C4×D59C23semidirect
474. C22⋊C4×D59C23semidirect
484. C2×C4×Dic59C23semidirect
495. #126×C59C23semidirect
496. #126×C59C23semidirect
497. #124×C59C23semidirect
498. #123×C59C23semidirect
499. #123×C59C23semidirect
500. #123×C59C23semidirect
501. C22⋊Q8×C59C23semidirect
502. C22⋊Q8×C59C23semidirect
504. C4×D4×C59C23semidirect
505. C4×D4×C59C23semidirect
506. #117×C59C23semidirect
507. #117×C59C23semidirect
530. C2×C22⋊C4×C59C23semidirect
531. C2×C22⋊C4×C59C23semidirect
1017. C2×#551D59semidirect
1041. C2×C59#3545semidirect
1067. #551C2×D59semidirect
1100. C2×#126C2×D59semidirect
1101. C2×#126C2×D59semidirect
1126. C2×#124C2×D59semidirect
1148. C2×#123C2×D59semidirect
1149. C2×#123C2×D59semidirect
1150. C2×#123C2×D59semidirect
1167. C2×C22⋊Q8C2×D59semidirect
1168. C2×C22⋊Q8C2×D59semidirect
1213. C2×C4×D4C2×D59semidirect
1214. C2×C4×D4C2×D59semidirect
1223. C2×#117C2×D59semidirect
1224. C2×#117C2×D59semidirect
1233. C22×C22⋊C4C2×D59semidirect
1234. C22×C22⋊C4C2×D59semidirect
1236. C59C2×#3545semidirect
1318. #126C22×D59semidirect
1319. #126C22×D59semidirect
1343. #124C22×D59semidirect
1365. #123C22×D59semidirect
1366. #123C22×D59semidirect
1367. #123C22×D59semidirect
1384. C22⋊Q8C22×D59semidirect
1385. C22⋊Q8C22×D59semidirect
1430. C4×D4C22×D59semidirect
1431. C4×D4C22×D59semidirect
1440. #117C22×D59semidirect
1441. #117C22×D59semidirect
1538. C2×C22⋊C4C22×D59semidirect
1539. C2×C22⋊C4C22×D59semidirect
2031. C2#21438452direct (N × H)

Maximal subgroups

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

subgroupindex
#214384522
C2×#168381542
C2×#168381492
C2×#168381482
C2×#168381442
C2×#168381172
C2×#168381152
C2×#168380792
C2×#168380782
C2×#168380772
C2×#168380762
C2×#168380752
C2×#168380472
C2×#168380442
C2×#168380422
C2×#168380392
C2×#168380252
C2×#168380232
C2×#168380212
C2×#168380182
C2×#168379912
C2×#168379882
C2×#168379852
C2×#168379782
C2×#168379742
C2×#168379642
C2×#168379622
C2×#168379382
C2×#168379322
C22×#142737132
C2×C59×#5512
C2×#354559