Finite Group Databasebeta

← C2×#21438137 #29496698

Subgroups — C2×#21438137 #29496698

Order 15104.

7910 conjugacy classes of subgroups.

The subgroup lattice has 1992 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438137C2132yesmaximal, direct product factor
2C2×#16838119C211yesmaximal, characteristic, complemented
3C2×#16838108C211yesmaximal, characteristic, complemented
4C2×#16838106C211yesmaximal, characteristic, complemented
5C2×#16838089C211yesmaximal, characteristic, complemented
6C2×#16838084C211yesmaximal, characteristic, complemented
7C2×#16838080C211yesmaximal, characteristic, complemented
8C2×#16838079C211yesmaximal, characteristic, complemented
9C2×#16838077C211yesmaximal, characteristic, complemented
10C2×#16838075C211yesmaximal, characteristic, complemented
11C2×#16838065C211yesmaximal, characteristic, complemented
12C2×#16838062C211yesmaximal, characteristic, complemented
13C2×#16838058C211yesmaximal, characteristic, complemented
14C2×#16838050C211yesmaximal, characteristic, complemented
15C2×#16838050C211yesmaximal, characteristic, complemented
16C2×#16838044C211yesmaximal, characteristic, complemented
17C2×#16838041C211yesmaximal, characteristic, complemented
18C2×#16838022C211yesmaximal, characteristic, complemented
19C2×#16838020C211yesmaximal, characteristic, complemented
20C2×#16838000C211yesmaximal, characteristic, complemented
21C2×#16837994C211yesmaximal, characteristic, complemented
22C2×#16837993C211yesmaximal, characteristic, complemented
23C2×#16837958C211yesmaximal, characteristic, complemented
24C2×#16837935C211yesmaximal, characteristic, complemented
25C2×#16837911C211yesmaximal, characteristic, complemented
26C2×#16837910C211yesmaximal, characteristic, complemented
27C22×#14273705C211yesmaximal, characteristic, complemented
28C2×C22⋊Q8×D59C211yesmaximal, characteristic, complemented
29C2×#16837883C211yesmaximal, characteristic, complemented
30C2×#16837881C211yesmaximal, characteristic, complemented
31C2×C4×D4×D59C211yesmaximal, characteristic, complemented
32C2×C59×#539C211yesmaximal, characteristic, complemented
33C22×#11745685C2211yescharacteristic
34C22×#11745685C2211yescharacteristic, complemented
35C22×#11745687C2211yescharacteristic
36C22×#11745687C2211yescharacteristic, complemented
37C23×Dic118C2211yescharacteristic, complemented
38C22×Q8×D59C2211yescharacteristic, complemented
39C22×D4×D59C2211yescharacteristic
40C23×C4×D59C2211yescharacteristic
41C23×C4×D59C2211yescharacteristic
42#16838119C22116yescomplemented
43#16838108C22116yescomplemented
44#16838106C22116yescomplemented
45#16838089C22116yescomplemented
46#16838084C22116yescomplemented
47#16838080C22116yescomplemented
48#16838079C22116yescomplemented
49#16838077C22116yescomplemented
50#16838075C22116yescomplemented
51#16838065C22116yescomplemented
52#16838062C22116yescomplemented
53#16838058C22116yescomplemented
54#16838050C22116yescomplemented
55#16838050C22116yescomplemented
56#16838044C22116yescomplemented
57#16838041C22116yescomplemented
58#16838022C22116yescomplemented
59#16838020C22116yescomplemented
60#16838000C22116yescomplemented
61#16837994C22116yescomplemented
62#16837993C22116yescomplemented
63#16837958C22116yescomplemented
64C2×#14273726C2211yescharacteristic, complemented
65C2×#14273726C2211yescharacteristic, complemented
66C2×#14273726C2211yescharacteristic, complemented
67C2×#14273725C2211yescharacteristic, complemented
68#16837935C22116yescomplemented
69C2×#14273722C2211yescharacteristic, complemented
70C2×#14273722C2211yescharacteristic, complemented
71C2×#14273722C2211yescharacteristic, complemented
72C2×#14273722C2211yescharacteristic, complemented
73C2×#14273721C2211yescharacteristic, complemented
74C2×#14273720C2211yescharacteristic, complemented
75C2×#14273720C2211yescharacteristic, complemented
76C2×#14273720C2211yescharacteristic, complemented
77C2×#14273719C2211yescharacteristic, complemented
78C2×#14273718C2211yescharacteristic, complemented
79C2×#14273717C2211yescharacteristic, complemented
80C2×#14273717C2211yescharacteristic, complemented
81C2×#14273717C2211yescharacteristic, complemented
82C2×#14273716C2211yescharacteristic, complemented
83C2×#14273714C2211yescharacteristic, complemented
84C2×#14273713C2211yescharacteristic
85C2×#14273713C2211yescharacteristic
86C2×#14273713C2211yescharacteristic, complemented
87C2×#14273713C2211yescharacteristic, complemented
88C2×#14273713C2211yescharacteristic, complemented
89#16837911C22116yescomplemented
90#16837910C22116yescomplemented
91C2×#14273712C2211yescharacteristic
92C2×#14273712C2211yescharacteristic
93C2×#14273712C2211yescharacteristic
94C2×#14273712C2211yescharacteristic, complemented
95C2×#14273712C2211yescharacteristic, complemented
96C2×#14273712C2211yescharacteristic, complemented
97C2×#14273711C2211yescharacteristic, complemented
98C2×#14273711C2211yescharacteristic, complemented
99C2×#14273710C2211yescharacteristic, complemented
100C2×#14273709C2211yescharacteristic
101C2×#14273709C2211yescharacteristic, complemented
102C2×#14273709C2211yescharacteristic, complemented
103C2×#14273709C2211yescharacteristic, complemented
104C2×#14273708C2211yescharacteristic
105C2×#14273707C2211yescharacteristic
106C2×#14273707C2211yescharacteristic, complemented
107C2×#14273707C2211yescharacteristic, complemented
108C2×#14273706C2211yescharacteristic, complemented
109C2×#14273705C2211yescharacteristic
110C2×#14273705C2211yescharacteristic
111C2×#14273705C2211yescharacteristic
112C2×#14273705C2211yescharacteristic
113C2×#14273705C2211yescharacteristic
114C2×#14273705C2211yescharacteristic
115C2×#14273705C2211yescharacteristic
116C2×#14273705C2211yescharacteristic, complemented
117C2×#14273705C2211yescharacteristic, complemented
118C2×#14273705C2211yescharacteristic, complemented
119C2×#14273705C2211yescharacteristic, complemented
120C2×#14273705C2211yescharacteristic, complemented
121C2×#14273705C2211yescharacteristic, complemented
122C2×#14273705C2211yescharacteristic, complemented
123C2×#14273705C2211yescharacteristic, complemented
124C2×#14273705C22116yescomplemented
125C2×#14273704C2211yescharacteristic, complemented
126C2×#14273704C2211yescharacteristic, complemented
127C2×#14273704C2211yescharacteristic, complemented
128C2×#14273704C2211yescharacteristic, complemented
129C2×#14273704C2211yescharacteristic, complemented
130C2×#14273704C2211yescharacteristic, complemented
131C2×#14273703C2211yescharacteristic
132C22⋊Q8×D59C22116yescomplemented
133C2×#14273702C2211yescharacteristic
134C2×#14273700C2211yescharacteristic
135C2×#14273700C2211yescharacteristic
136C2×#14273700C2211yescharacteristic
137C2×#14273700C2211yescharacteristic, complemented
138C2×#14273699C2211yescharacteristic
139C2×#14273699C2211yescharacteristic
140C2×#14273699C2211yescharacteristic, complemented
141C2×#14273697C2211yescharacteristic
142C2×#14273697C2211yescharacteristic
143C2×#14273695C2211yescharacteristic
144C2×#14273695C2211yescharacteristic
145#16837883C22116yescomplemented
146#16837881C22116yescomplemented
147C2×C4×Dic118C2211yescharacteristic, complemented
148C2×#14273692C2211yescharacteristic, complemented
149C2×#14273692C2211yescharacteristic, complemented
150C2×#14273692C2211yescharacteristic, complemented
151C2×#14273692C2211yescharacteristic, complemented
152C2×#14273692C2211yescharacteristic, complemented
153C2×#14273692C2211yescharacteristic, complemented
154C2×C4×D236C2211yescharacteristic
155C2×C4×D236C2211yescharacteristic
156C2×D4×Dic59C2211yescharacteristic
157C2×D4×Dic59C2211yescharacteristic, complemented
158C2×#14273689C2211yescharacteristic
159C2×#14273689C2211yescharacteristic
160C2×#14273689C2211yescharacteristic
161C2×#14273689C2211yescharacteristic, complemented
162C2×#14273689C2211yescharacteristic, complemented
163C2×C4×C22⋊D59C2211yescharacteristic
164C2×C4×C22⋊D59C2211yescharacteristic
165C2×C4×C22⋊D59C2211yescharacteristic
166C2×C4×C22⋊D59C2211yescharacteristic
167C2×C4×C22⋊D59C2211yescharacteristic, complemented
168C2×C4×C22⋊D59C2211yescharacteristic, complemented
169C2×C4×C22⋊D59C2211yescharacteristic, complemented
170C2×(C22⋊D59)⋊C4C2211yescharacteristic
171C2×(C22⋊D59)⋊C4C2211yescharacteristic
172C2×(C22⋊D59)⋊C4C2211yescharacteristic
173C2×(C22⋊D59)⋊C4C2211yescharacteristic
174C2×(C22⋊D59)⋊C4C2211yescharacteristic
175C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
176C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
177C4×D4×D59C22116yescomplemented
178C2×#14273686C2211yescharacteristic, complemented
179C2×#14273685C2211yescharacteristic
180C2×#14273685C2211yescharacteristic
181C2×#14273685C2211yescharacteristic, complemented
182C2×#14273685C2211yescharacteristic, complemented
183C2×#14273684C2211yescharacteristic, complemented
184C2×#14273684C2211yescharacteristic, complemented
185C2×#14273683C2211yescharacteristic, complemented
186C2×#14273683C2211yescharacteristic, complemented
187C2×#14273683C2211yescharacteristic, complemented
188C22×Dic59⋊C4C2211yescharacteristic, complemented
189C22×Dic59⋊C4C2211yescharacteristic, complemented
190C22×Dic59⋊C4C2211yescharacteristic, complemented
191C2×C4⋊C4×D59C2211yescharacteristic
192C2×C4⋊C4×D59C2211yescharacteristic, complemented
193C2×C4⋊C4×D59C2211yescharacteristic, complemented
194C2×C4⋊C4×D59C2211yescharacteristic, complemented
195C2×C4⋊C4×D59C2211yescharacteristic, complemented
196C22×(C2×D59)⋊C4C2211yescharacteristic
197C22×(C2×D59)⋊C4C2211yescharacteristic
198C2×C22⋊C4×D59C2211yescharacteristic
199C2×C22⋊C4×D59C2211yescharacteristic
200C2×C22⋊C4×D59C2211yescharacteristic
201C2×C22⋊C4×D59C2211yescharacteristic
202C2×C42×D59C2211yescharacteristic
203C59×#539C22116yescomplemented
204C2×#126×C59C2211yescharacteristic, complemented
205C2×#126×C59C2211yescharacteristic, complemented
206C2×#125×C59C2211yescharacteristic, complemented
207C2×#125×C59C2211yescharacteristic, complemented
208C2×#123×C59C2211yescharacteristic
209C2×#123×C59C2211yescharacteristic, complemented
210C2×#123×C59C2211yescharacteristic, complemented
211C2×#123×C59C2211yescharacteristic, complemented
212C2×C22⋊Q8×C59C2211yescharacteristic, complemented
213C2×C22⋊Q8×C59C2211yescharacteristic, complemented
214C2×C22⋊Q8×C59C2211yescharacteristic, complemented
215C2×#121×C59C2211yescharacteristic
216C2×C4×D4×C59C2211yescharacteristic
217C2×C4×D4×C59C2211yescharacteristic, complemented
218C22×C4⋊C4×C59C2211yescharacteristic, complemented
219C24×D59C2311yescharacteristic
220C24×D59C2311yescharacteristic
221C2×#11745685—28no—
222C2×#11745685—44no—
223C2×#11745685C2318yes—
224C2×#11745685C2318yescomplemented
225C2×#11745687—28no—
226C2×#11745687—44no—
227C2×#11745687C2318yes—
228C2×#11745687C2318yescomplemented
229C22×Dic118—44no—
230C22×Dic118C2311yescharacteristic
231C22×Dic118C2311yescharacteristic
232C22×Dic118C2311yescharacteristic
233C22×Dic118C2311yescharacteristic
234C22×Dic118C2311yescharacteristic
235C22×Dic118C2311yescharacteristic
236C22×Dic118C2311yescharacteristic
237C22×Dic118C2311yescharacteristic
238C22×Dic118C2318yescomplemented
239C2×Q8×D59—44no—
240C2×Q8×D59C2318yescomplemented
241C22×D236C2311yescharacteristic
242C22×D236C2311yescharacteristic
243C22×D236C2311yescharacteristic
244C22×D236C2311yescharacteristic
245C22×C22⋊D59C2311yescharacteristic
246C22×C22⋊D59C2311yescharacteristic
247C22×C22⋊D59C2311yescharacteristic
248C22×C22⋊D59C2311yescharacteristic
249C22×C22⋊D59C2311yescharacteristic
250C22×C22⋊D59C2311yescharacteristic
251C22×C22⋊D59C2311yescharacteristic
252C22×C22⋊D59C2311yescharacteristic
253C2×D4×D59—28no—
254C2×D4×D59C2318yes—
255C23×Dic59C2311yescharacteristic
256C23×Dic59C2311yescharacteristic
257C23×Dic59C2311yescharacteristic
258C23×Dic59C2311yescharacteristic
259C23×Dic59C2311yescharacteristic
260C23×Dic59C2311yescharacteristic
261C22×C4×D59—44no—
262C22×C4×D59—44no—
263C22×C4×D59C2311yescharacteristic
264C22×C4×D59C2311yescharacteristic
265C22×C4×D59C2311yescharacteristic
266C22×C4×D59C2311yescharacteristic
267C22×C4×D59C2311yescharacteristic
268C22×C4×D59C2311yescharacteristic
269C22×C4×D59C2311yescharacteristic
270C22×C4×D59C2311yescharacteristic
271C22×C4×D59C2311yescharacteristic
272C22×C4×D59C2311yescharacteristic
273C22×C4×D59C2318yes—
274C22×C4×D59C2311yescharacteristic
275C22×C4×D59C2311yescharacteristic
276C22×C4×D59C2311yescharacteristic
277C22×C4×D59C2318yes—
278C22×C4×D59C2311yescharacteristic
279C22×C4×D59C2311yescharacteristic
280C22×C4×D59C2311yescharacteristic
281#14273726C2318yescomplemented
282#14273726C2318yescomplemented
283#14273726C2318yescomplemented
284#14273725C2318yescomplemented
285#14273722C2318yescomplemented
286#14273722C2318yescomplemented
287#14273722C2318yescomplemented
288#14273722C2318yescomplemented
289#14273721C2318yescomplemented
290#14273720C2318yescomplemented
291#14273720C2318yescomplemented
292#14273720C2318yescomplemented
293#14273719C2318yescomplemented
294#14273718C2318yescomplemented
295#14273717C2318yescomplemented
296#14273717C2318yescomplemented
297#14273717C2318yescomplemented
298#14273716C2318yescomplemented
299#14273714C2318yescomplemented
300#14273713C2318yes—
301#14273713C2318yes—
302#14273713C2318yescomplemented
303#14273713C2318yescomplemented
304#14273713C2318yescomplemented
305#14273712C2318yes—
306#14273712C2318yes—
307#14273712C2318yes—
308#14273712C2318yescomplemented
309#14273712C2318yescomplemented
310#14273712C2318yescomplemented
311#14273711C2318yescomplemented
312#14273711C2318yescomplemented
313#14273710C2318yescomplemented
314#14273709C2318yes—
315#14273709C2318yescomplemented
316#14273709C2318yescomplemented
317#14273709C2318yescomplemented
318#14273708C2318yes—
319#14273707C2318yes—
320#14273707C2318yescomplemented
321#14273707C2318yescomplemented
322#14273706C2318yescomplemented
323#14273705C2318yes—
324#14273705C2318yes—
325#14273705C2318yes—
326#14273705C2318yes—
327#14273705C2318yes—
328#14273705C2318yes—
329#14273705C2318yes—
330#14273705C2318yescomplemented
331#14273705C2318yescomplemented
332#14273705C2318yescomplemented
333#14273705C2318yescomplemented
334#14273705C2318yescomplemented
335#14273705C2318yescomplemented
336#14273705C2318yescomplemented
337#14273705C2318yescomplemented
338#14273704C2318yescomplemented
339#14273704C2318yescomplemented
340#14273704C2318yescomplemented
341#14273704C2318yescomplemented
342#14273704C2318yescomplemented
343#14273704C2318yescomplemented
344#14273703C2318yes—
345#14273702C2318yes—
346#14273700C2318yes—
347#14273700C2318yes—
348#14273700C2318yes—
349#14273700C2318yescomplemented
350#14273699C2318yes—
351#14273699C2318yes—
352#14273699C2318yescomplemented
353#14273697C2318yes—
354#14273697C2318yes—
355#14273695C2318yes—
356#14273695C2318yes—
357C4×Dic118C2318yescomplemented
358#14273692C2318yescomplemented
359#14273692C2318yescomplemented
360#14273692C2318yescomplemented
361#14273692C2318yescomplemented
362#14273692C2318yescomplemented
363#14273692C2318yescomplemented
364C4×D236C2318yes—
365C4×D236C2318yes—
366D4×Dic59C2318yes—
367D4×Dic59C2318yescomplemented
368#14273689C2318yes—
369#14273689C2318yes—
370#14273689C2318yes—
371#14273689C2318yescomplemented
372#14273689C2318yescomplemented
373C4×C22⋊D59C2318yes—
374C4×C22⋊D59C2318yes—
375C4×C22⋊D59C2318yes—
376C4×C22⋊D59C2318yes—
377C4×C22⋊D59C2318yescomplemented
378C4×C22⋊D59C2318yescomplemented
379C4×C22⋊D59C2318yescomplemented
380(C22⋊D59)⋊C4C2318yes—
381(C22⋊D59)⋊C4C2318yes—
382(C22⋊D59)⋊C4C2318yes—
383(C22⋊D59)⋊C4C2318yes—
384(C22⋊D59)⋊C4C2318yes—
385(C22⋊D59)⋊C4C2318yescomplemented
386(C22⋊D59)⋊C4C2318yescomplemented
387#14273686C2318yescomplemented
388#14273685C2318yes—
389#14273685C2318yes—
390#14273685C2318yescomplemented
391#14273685C2318yescomplemented
392#14273684C2318yescomplemented
393#14273684C2318yescomplemented
394#14273683C2318yescomplemented
395#14273683C2318yescomplemented
396#14273683C2318yescomplemented
397C2×C4⋊Dic59C2311yescharacteristic
398C2×C4⋊Dic59C2311yescharacteristic
399C2×C4⋊Dic59C2311yescharacteristic
400C2×C4⋊Dic59C2311yescharacteristic
401C2×C4⋊Dic59C2311yescharacteristic
402C2×C4⋊Dic59C2311yescharacteristic
403C2×C4⋊Dic59C2311yescharacteristic
404C2×C4⋊Dic59C2311yescharacteristic
405C2×Dic59⋊C4C2311yescharacteristic
406C2×Dic59⋊C4C2311yescharacteristic
407C2×Dic59⋊C4C2311yescharacteristic
408C2×Dic59⋊C4C2311yescharacteristic
409C2×Dic59⋊C4C2311yescharacteristic
410C2×Dic59⋊C4C2311yescharacteristic
411C2×Dic59⋊C4C2311yescharacteristic
412C2×Dic59⋊C4C2311yescharacteristic
413C2×Dic59⋊C4C2311yescharacteristic
414C2×Dic59⋊C4C2311yescharacteristic
415C2×Dic59⋊C4C2311yescharacteristic
416C2×Dic59⋊C4C2311yescharacteristic
417C2×Dic59⋊C4C2311yescharacteristic
418C2×Dic59⋊C4C2311yescharacteristic
419C2×Dic59⋊C4C2311yescharacteristic
420C2×Dic59⋊C4C2311yescharacteristic
421C2×Dic59⋊C4C2311yescharacteristic
422C2×Dic59⋊C4C2311yescharacteristic
423C2×Dic59⋊C4C2311yescharacteristic
424C2×Dic59⋊C4C2311yescharacteristic
425C2×Dic59⋊C4C2311yescharacteristic
426C2×Dic59⋊C4C2311yescharacteristic
427C2×Dic59⋊C4C2311yescharacteristic
428C2×Dic59⋊C4C2311yescharacteristic
429C2×Dic59⋊C4C2318yescomplemented
430C2×Dic59⋊C4C2318yescomplemented
431C2×Dic59⋊C4C2318yescomplemented
432C4⋊C4×D59C2318yes—
433C4⋊C4×D59C2318yescomplemented
434C4⋊C4×D59C2318yescomplemented
435C4⋊C4×D59C2318yescomplemented
436C4⋊C4×D59C2318yescomplemented
437C2×C22⋊Dic59C2311yescharacteristic
438C2×C22⋊Dic59C2311yescharacteristic
439C2×C22⋊Dic59C2311yescharacteristic
440C2×C22⋊Dic59C2311yescharacteristic
441C2×C22⋊Dic59C2311yescharacteristic
442C2×C22⋊Dic59C2311yescharacteristic
443C2×C22⋊Dic59C2311yescharacteristic
444C2×C22⋊Dic59C2311yescharacteristic
445C2×(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)⋊C4C2318yes—
463C2×(C2×D59)⋊C4C2318yes—
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
471C22⋊C4×D59C2318yes—
472C22⋊C4×D59C2318yes—
473C22⋊C4×D59C2318yes—
474C22⋊C4×D59C2318yes—
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×Dic59C2311yescharacteristic
485C2×C4×Dic59C2311yescharacteristic
486C2×C4×Dic59C2311yescharacteristic
487C42×D59C2318yes—
488C22×Q8×C59C2311yescharacteristic
489C22×D4×C59C2311yescharacteristic
490C22×D4×C59C2311yescharacteristic
491C22×D4×C59C2311yescharacteristic
492C23×C4×C59C2311yescharacteristic
493C23×C4×C59C2311yescharacteristic
494C23×C4×C59C2311yescharacteristic
495C23×C4×C59C2311yescharacteristic
496C23×C4×C59C2311yescharacteristic
497#126×C59C2318yescomplemented
498#126×C59C2318yescomplemented
499#125×C59C2318yescomplemented
500#125×C59C2318yescomplemented
501#123×C59C2318yes—
502#123×C59C2318yescomplemented
503#123×C59C2318yescomplemented
504#123×C59C2318yescomplemented
505C22⋊Q8×C59C2318yescomplemented
506C22⋊Q8×C59C2318yescomplemented
507C22⋊Q8×C59C2318yescomplemented
508#121×C59C2318yes—
509C4×D4×C59C2318yes—
510C4×D4×C59C2318yescomplemented
511C2×C4⋊C4×C59C2311yescharacteristic
512C2×C4⋊C4×C59C2311yescharacteristic
513C2×C4⋊C4×C59C2311yescharacteristic
514C2×C4⋊C4×C59C2311yescharacteristic
515C2×C4⋊C4×C59C2311yescharacteristic
516C2×C4⋊C4×C59C2311yescharacteristic
517C2×C4⋊C4×C59C2311yescharacteristic
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×C59C2318yescomplemented
526C2×C22⋊C4×C59C2311yescharacteristic
527C2×C22⋊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×C42×C59C2311yescharacteristic
537C2×C42×C59C2311yescharacteristic
538C24×C59C2411yescharacteristic
539C24×C59C2411yescharacteristic
540C24×C59C2411yescharacteristic
541C23×D59—24no—
542C23×D59—24no—
543C23×D59—24no—
544C23×D59—24no—
545C23×D59—42no—
546C23×D59—42no—
547C23×D59C2411yescharacteristic
548C23×D59C2411yescharacteristic
549C23×D59C2414yes—
550C23×D59C2414yes—
551C23×D59C2411yescharacteristic
552C23×D59C2411yescharacteristic
553C2×Q8×C59—42no—
554C2×Q8×C59C2414yes—
555C2×D4×C59—24no—
556C2×D4×C59—24no—
557C2×D4×C59—42no—
558C2×D4×C59C2414yes—
559C2×D4×C59C2414yes—
560C2×D4×C59C2414yes—
561C22×C4×C59—24no—
562C22×C4×C59—42no—
563C22×C4×C59—42no—
564C22×C4×C59—42no—
565C22×C4×C59—42no—
566C22×C4×C59C2411yescharacteristic
567C22×C4×C59C2411yescharacteristic
568C22×C4×C59C2411yescharacteristic
569C22×C4×C59C2411yescharacteristic
570C22×C4×C59C2411yescharacteristic
571C22×C4×C59C2411yescharacteristic
572C22×C4×C59C2411yescharacteristic
573C22×C4×C59C2411yescharacteristic
574C22×C4×C59C2411yescharacteristic
575C22×C4×C59C2411yescharacteristic
576C22×C4×C59C2411yescharacteristic
577C22×C4×C59C2411yescharacteristic
578C22×C4×C59C2414yes—
579C22×C4×C59C2414yes—
580C22×C4×C59C2414yes—
581C22×C4×C59C2414yes—
582C22×C4×C59C2414yes—
583C2×C22⋊D59—24no—
584C2×C22⋊D59—24no—
585C2×C22⋊D59—24no—
586C2×C22⋊D59—24no—
587C2×C22⋊D59—24no—
588C2×C22⋊D59—42no—
589C2×C22⋊D59—42no—
590C2×C22⋊D59#4118yescomplemented
591C2×C22⋊D59C2414yes—
592C2×C22⋊D59C2414yes—
593C2×C22⋊D59C2414yes—
594C2×C22⋊D59C2414yes—
595C2×C22⋊D59C2414yes—
596C2×C22⋊D59C2414yes—
597C2×C22⋊D59C2414yes—
598C2×C22⋊D59C2414yes—
599C22×Dic59—24no—
600C22×Dic59—24no—
601C22×Dic59—24no—
602C22×Dic59—24no—
603C22×Dic59—42no—
604C22×Dic59—42no—
605C22×Dic59C2411yescharacteristic
606C22×Dic59C2411yescharacteristic
607C22×Dic59C2411yescharacteristic
608C22×Dic59C2411yescharacteristic
609C22×Dic59C2411yescharacteristic
610C22×Dic59C2411yescharacteristic
611C22×Dic59C2411yescharacteristic
612C22×Dic59C2411yescharacteristic
613C22×Dic59C2411yescharacteristic
614C22×Dic59C2411yescharacteristic
615C22×Dic59C2414yes—
616C22×Dic59C2414yes—
617C22×Dic59C2414yes—
618C22×Dic59C2414yes—
619C22×Dic59C2414yes—
620C22×Dic59C2414yes—
621C22×Dic59C2411yescharacteristic
622C22×Dic59C2411yescharacteristic
623Q8×D59—416no—
624#11745687—232no—
625#11745687—416no—
626D4×D59—232no—
627#11745685—232no—
628#11745685—416no—
629C2×D236—24no—
630C2×D236—24no—
631C2×D236—24no—
632C2×D236—42no—
633C2×D236C2414yes—
634C2×D236C2414yes—
635C2×D236C2414yes—
636C2×D236C2414yes—
637C2×C4×D59—24no—
638C2×C4×D59—24no—
639C2×C4×D59—24no—
640C2×C4×D59—24no—
641C2×C4×D59—24no—
642C2×C4×D59—24no—
643C2×C4×D59—24no—
644C2×C4×D59—24no—
645C2×C4×D59—416no—
646C2×C4×D59—416no—
647C2×C4×D59—42no—
648C2×C4×D59—42no—
649C2×C4×D59—42no—
650C2×C4×D59—42no—
651C2×C4×D59—42no—
652C2×C4×D59—42no—
653C2×C4×D59—42no—
654C2×C4×D59—42no—
655C2×C4×D59C2414yes—
656C2×C4×D59C2414yes—
657C2×C4×D59C2414yes—
658C2×C4×D59C2414yes—
659C2×C4×D59C2414yes—
660C2×C4×D59C2414yes—
661C2×C4×D59C2414yes—
662C2×C4×D59C2414yes—
663C2×C4×D59C2414yes—
664C2×C4×D59C2414yes—
665C2×C4×D59C2414yes—
666C2×C4×D59C2414yes—
667C2×C4×D59C2414yes—
668C2×C4×D59C2414yes—
669C2×C4×D59C2414yes—
670C2×C4×D59C2414yes—
671C2×Dic118—24no—
672C2×Dic118—24no—
673C2×Dic118—24no—
674C2×Dic118—24no—
675C2×Dic118—24no—
676C2×Dic118—416no—
677C2×Dic118—42no—
678C2×Dic118—42no—
679C2×Dic118—42no—
680C2×Dic118C2414yes—
681C2×Dic118C2414yes—
682C2×Dic118C2414yes—
683C2×Dic118C2414yes—
684C2×Dic118C2414yes—
685C2×Dic118C2414yes—
686C2×Dic118C2414yes—
687C2×Dic118C2414yes—
688C4⋊C4×C59C2414yes—
689C4⋊C4×C59C2414yes—
690C4⋊C4×C59C2414yes—
691C4⋊C4×C59C2414yes—
692C4⋊C4×C59C2414yes—
693C4⋊C4×C59C2414yes—
694C4⋊C4×C59C2414yes—
695C4⋊C4×C59C2414yes—
696C4⋊C4×C59C2414yes—
697C4⋊C4×C59C2414yes—
698C4⋊C4×C59C2414yes—
699C4⋊C4×C59C2414yes—
700C4⋊C4×C59C2414yes—
701C4⋊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—
714C22⋊Dic59C2414yes—
715C22⋊Dic59C2414yes—
716C22⋊Dic59C2414yes—
717C22⋊Dic59C2414yes—
718C22⋊Dic59C2414yes—
719C22⋊Dic59C2414yes—
720C22⋊Dic59C2414yes—
721C22⋊Dic59C2414yes—
722(C2×D59)⋊C4C2414yes—
723(C2×D59)⋊C4C2414yes—
724(C2×D59)⋊C4C2414yes—
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—
746C4⋊Dic59C2414yes—
747C4⋊Dic59C2414yes—
748C4⋊Dic59C2414yes—
749C4⋊Dic59C2414yes—
750C4⋊Dic59C2414yes—
751C4⋊Dic59C2414yes—
752C4⋊Dic59C2414yes—
753C4⋊Dic59C2414yes—
754Dic59⋊C4C2414yes—
755Dic59⋊C4C2414yes—
756Dic59⋊C4C2414yes—
757Dic59⋊C4C2414yes—
758Dic59⋊C4C2414yes—
759Dic59⋊C4C2414yes—
760Dic59⋊C4C2414yes—
761Dic59⋊C4C2414yes—
762Dic59⋊C4C2414yes—
763Dic59⋊C4C2414yes—
764Dic59⋊C4C2414yes—
765Dic59⋊C4C2414yes—
766Dic59⋊C4C2414yes—
767Dic59⋊C4C2414yes—
768Dic59⋊C4C2414yes—
769Dic59⋊C4C2414yes—
770Dic59⋊C4C2414yes—
771Dic59⋊C4C2414yes—
772Dic59⋊C4C2414yes—
773Dic59⋊C4C2414yes—
774Dic59⋊C4C2414yes—
775Dic59⋊C4C2414yes—
776Dic59⋊C4C2414yes—
777Dic59⋊C4C2414yes—
778C4×Dic59C2414yes—
779C4×Dic59C2414yes—
780C4×Dic59C2414yes—
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×C59C2×#4114yes—
799C23×C59C2512yes—
800C23×C59C2512yes—
801C23×C59C2512yes—
802C23×C59C2511yescharacteristic
803C22×D59—22no—
804C22×D59—22no—
805C22×D59—22no—
806C22×D59—22no—
807C22×D59—22no—
808C22×D59—22no—
809C22×D59—28no—
810C22×D59—22no—
811C22×D59—22no—
812C22×D59—22no—
813C22×D59—22no—
814C22×D59—28no—
815C22×D59—28no—
816C22×D59—28no—
817C22×D59—44no—
818C22×D59—44no—
819C22×D59—416no—
820C22×D59—416no—
821C22×D59C2×#4114yes—
822C22×D592−1+414yes—
823C22×D59C2512yes—
824C22×D59C2512yes—
825C22×D59C2512yes—
826C22×D59C2512yes—
827Q8×C59—44no—
828D4×C59—28no—
829D4×C59—28no—
830D4×C59—44no—
831C2×C4×C59—22no—
832C2×C4×C59—22no—
833C2×C4×C59—22no—
834C2×C4×C59—22no—
835C2×C4×C59—28no—
836C2×C4×C59—22no—
837C2×C4×C59—22no—
838C2×C4×C59—22no—
839C2×C4×C59—22no—
840C2×C4×C59—22no—
841C2×C4×C59—22no—
842C2×C4×C59—22no—
843C2×C4×C59—22no—
844C2×C4×C59—44no—
845C2×C4×C59—44no—
846C2×C4×C59—44no—
847C2×C4×C59—44no—
848C2×C4×C59C2512yes—
849C2×C4×C59C2512yes—
850C2×C4×C59C2512yes—
851C2×C4×C59C2512yes—
852C2×C4×C59C2512yes—
853C2×C4×C59C2512yes—
854C2×C4×C59C2512yes—
855C2×C4×C59C2512yes—
856C2×C4×C59C2512yes—
857C2×C4×C59C2512yes—
858C2×C4×C59C2512yes—
859C2×C4×C59C2512yes—
860C22⋊D59—28no—
861C22⋊D59—28no—
862C22⋊D59—28no—
863C22⋊D59—28no—
864C22⋊D59—28no—
865C22⋊D59—44no—
866C22⋊D59—44no—
867C22⋊D59C2×#41116yescomplemented
868C2×Dic59—22no—
869C2×Dic59—22no—
870C2×Dic59—22no—
871C2×Dic59—28no—
872C2×Dic59—22no—
873C2×Dic59—22no—
874C2×Dic59—22no—
875C2×Dic59—22no—
876C2×Dic59—22no—
877C2×Dic59—22no—
878C2×Dic59—22no—
879C2×Dic59—28no—
880C2×Dic59—28no—
881C2×Dic59—28no—
882C2×Dic59—44no—
883C2×Dic59—44no—
884C2×Dic59C2×#4114yes—
885C2×Dic59H(5,𝔽2)14yes—
886C2×Dic59C2512yes—
887C2×Dic59C2512yes—
888C2×Dic59C2512yes—
889C2×Dic59C2512yes—
890C2×Dic59C2512yes—
891C2×Dic59C2512yes—
892C2×Dic59C2512yes—
893C2×Dic59C2512yes—
894C2×Dic59C2512yes—
895C2×Dic59C2512yes—
896C2×Dic59C2512yes—
897C2×Dic59C2512yes—
898D236—28no—
899D236—28no—
900D236—28no—
901D236—44no—
902C4×D59—28no—
903C4×D59—28no—
904C4×D59—28no—
905C4×D59—28no—
906C4×D59—28no—
907C4×D59—28no—
908C4×D59—28no—
909C4×D59—28no—
910C4×D59—44no—
911C4×D59—44no—
912C4×D59—44no—
913C4×D59—44no—
914C4×D59—44no—
915C4×D59—44no—
916C4×D59—44no—
917C4×D59—44no—
918Dic118—28no—
919Dic118—28no—
920Dic118—28no—
921Dic118—28no—
922Dic118—28no—
923Dic118—44no—
924Dic118—44no—
925Dic118—44no—
926C2×#3520—591nomaximal, Sylow
927C22×C59—22no—
928C22×C59—22no—
929C22×C59—28no—
930C22×C59—22no—
931C22×C59—22no—
932C22×C59—22no—
933C22×C59—22no—
934C22×C59—22no—
935C22×C59—22no—
936C22×C59—44no—
937C22×C59—44no—
938C22×C59C22×#4114yes—
939C22×C59C22×#4112yes—
940C22×C59C2×H(5,𝔽2)12yes—
941C22×C59C2×2−1+412yes—
942C22×C59C2611yescharacteristic
943C2×D59—22no—
944C2×D59—22no—
945C2×D59—22no—
946C2×D59—22no—
947C2×D59—28no—
948C2×D59—28no—
949C2×D59—22no—
950C2×D59—22no—
951C2×D59—22no—
952C2×D59—22no—
953C2×D59—22no—
954C2×D59—22no—
955C2×D59—416no—
956C2×D59—416no—
957C2×D59—44no—
958C2×D59—44no—
959C2×D59C22×#4114yes—
960C2×D59C2×2−1+414yes—
961C4×C59—22no—
962C4×C59—22no—
963C4×C59—22no—
964C4×C59—22no—
965C4×C59—22no—
966C4×C59—22no—
967C4×C59—22no—
968C4×C59—22no—
969C4×C59—22no—
970C4×C59—22no—
971C4×C59—22no—
972C4×C59—22no—
973Dic59—22no—
974Dic59—22no—
975Dic59—22no—
976Dic59—22no—
977Dic59—22no—
978Dic59—22no—
979Dic59—22no—
980Dic59—22no—
981Dic59—22no—
982Dic59—22no—
983Dic59C22×#4114yes—
984Dic59C2×H(5,𝔽2)14yes—
985#3520—5932no—
986C2×#556—591no—
987C2×#554—591no—
988C2×#554—591no—
989C2×#552—591no—
990C2×#552—591no—
991C2×#551—591no—
992C2×#551—591no—
993C2×#551—591no—
994C2×#551—591no—
995C2×D4×Q8—591no—
996C2×#548—591no—
997C2×#548—591no—
998C2×#547—591no—
999C2×#547—591no—
1000C2×#546—591no—
1001C2×#546—591no—
1002C2×#542—591no—
1003C2×#542—591no—
1004C2×#539—591no—
1005C2×#539—591no—
1006C2×#539—591no—
1007C2×#539D5911yescharacteristic, complemented
1008C2×#533—591no—
1009C2×#529—591no—
1010C2×#525—591no—
1011C2×#525—591no—
1012C22×C22⋊Q8—591no—
1013C22×C22⋊Q8—591no—
1014C2×#520—591no—
1015C2×#520—591no—
1016C22×C4×D4—591no—
1017C2×C59—24no—
1018C2×C59—42no—
1019C2×C59—42no—
1020C2×C59#352014yescomplemented
1021C2×C59C23×#4111yescharacteristic
1022C2×C59C22×H(5,𝔽2)11yescharacteristic
1023C2×C59C22×2−1+411yescharacteristic
1024D59—24no—
1025D59—24no—
1026D59—42no—
1027D59—42no—
1028C22×#41—591no—
1029C22×#41—591no—
1030C22×#41—591no—
1031C22×#41—591no—
1032C23×Q8—591no—
1033C23×Q8—591no—
1034C23×D4—591no—
1035C24×C4—591no—
1036C24×C4—591no—
1037#556—5916no—
1038#554—5916no—
1039#554—5916no—
1040#552—5916no—
1041#552—5916no—
1042#551—5916no—
1043#551—5916no—
1044#551—5916no—
1045#551—5916no—
1046D4×Q8—5916no—
1047#548—5916no—
1048#548—5916no—
1049#547—5916no—
1050#547—5916no—
1051#546—5916no—
1052#546—5916no—
1053#542—5916no—
1054#542—5916no—
1055#539—5916no—
1056#539—5916no—
1057#539—5916no—
1058#539C2×D59116yescomplemented
1059#533—5916no—
1060C2×C4⋊Q8—591no—
1061C2×C4⋊Q8—591no—
1062C2×C4⋊Q8—591no—
1063C2×C4⋊Q8—591no—
1064#529—5916no—
1065C2×#126—591no—
1066C2×#126—591no—
1067C2×#126—591no—
1068C2×#126—591no—
1069C2×#126—591no—
1070C2×#126—591no—
1071C2×#126—591no—
1072C2×#126—591no—
1073C2×#126C2×D5911yescharacteristic, complemented
1074C2×#126C2×D5911yescharacteristic, complemented
1075C2×#125—591no—
1076C2×#125—591no—
1077C2×#125—591no—
1078C2×#125—591no—
1079C2×#125—591no—
1080C2×#125C2×D5911yescharacteristic, complemented
1081C2×#125C2×D5911yescharacteristic, complemented
1082C2×#124—591no—
1083C2×#124—591no—
1084C2×#124—591no—
1085C2×#124—591no—
1086C2×#124—591no—
1087C2×#124—591no—
1088C2×#124—591no—
1089#525—5916no—
1090#525—5916no—
1091C2×#123—591no—
1092C2×#123—591no—
1093C2×#123—591no—
1094C2×#123—591no—
1095C2×#123—591no—
1096C2×#123—591no—
1097C2×#123—591no—
1098C2×#123—591no—
1099C2×#123—591no—
1100C2×#123—591no—
1101C2×#123—591no—
1102C2×#123—591no—
1103C2×#123—591no—
1104C2×#123—591no—
1105C2×#123C2×D5911yescharacteristic
1106C2×#123C2×D5911yescharacteristic, complemented
1107C2×#123C2×D5911yescharacteristic, complemented
1108C2×#123C2×D5911yescharacteristic, complemented
1109C2×C22⋊Q8—591no—
1110C2×C22⋊Q8—591no—
1111C2×C22⋊Q8—5916no—
1112C2×C22⋊Q8—591no—
1113C2×C22⋊Q8—591no—
1114C2×C22⋊Q8—591no—
1115C2×C22⋊Q8—591no—
1116C2×C22⋊Q8—591no—
1117C2×C22⋊Q8—591no—
1118C2×C22⋊Q8—591no—
1119C2×C22⋊Q8—591no—
1120C2×C22⋊Q8—591no—
1121C2×C22⋊Q8—591no—
1122C2×C22⋊Q8—591no—
1123C2×C22⋊Q8—591no—
1124C2×C22⋊Q8—591no—
1125C2×C22⋊Q8—591no—
1126C2×C22⋊Q8—591no—
1127C2×C22⋊Q8—591no—
1128C2×C22⋊Q8—591no—
1129C2×C22⋊Q8—591no—
1130C2×C22⋊Q8—5916no—
1131C2×C22⋊Q8—591no—
1132C2×C22⋊Q8—591no—
1133C2×C22⋊Q8—591no—
1134C2×C22⋊Q8—591no—
1135C2×C22⋊Q8—591no—
1136C2×C22⋊Q8—591no—
1137C2×C22⋊Q8C2×D5911yescharacteristic, complemented
1138C2×C22⋊Q8C2×D5911yescharacteristic, complemented
1139C2×C22⋊Q8C2×D5911yescharacteristic, complemented
1140C2×#121—591no—
1141C2×#121—591no—
1142C2×#121—591no—
1143C2×#121—591no—
1144C2×#121—591no—
1145C2×#121—591no—
1146C2×#121—591no—
1147C2×#121—591no—
1148C2×#121C2×D5911yescharacteristic
1149C2×#120—591no—
1150C2×#120—591no—
1151C2×#120—591no—
1152C2×#120—591no—
1153#520—5916no—
1154#520—5916no—
1155C2×C4×Q8—591no—
1156C2×C4×Q8—591no—
1157C2×C4×Q8—591no—
1158C2×C4×Q8—591no—
1159C2×C4×Q8—591no—
1160C2×C4×Q8—591no—
1161C2×C4×Q8—591no—
1162C2×C4×D4—591no—
1163C2×C4×D4—591no—
1164C2×C4×D4—591no—
1165C2×C4×D4—591no—
1166C2×C4×D4—591no—
1167C2×C4×D4—591no—
1168C2×C4×D4—591no—
1169C2×C4×D4—591no—
1170C2×C4×D4—591no—
1171C2×C4×D4—5916no—
1172C2×C4×D4—591no—
1173C2×C4×D4—591no—
1174C2×C4×D4—591no—
1175C2×C4×D4—591no—
1176C2×C4×D4—591no—
1177C2×C4×D4—591no—
1178C2×C4×D4—591no—
1179C2×C4×D4—591no—
1180C2×C4×D4—591no—
1181C2×C4×D4—591no—
1182C2×C4×D4—591no—
1183C2×C4×D4—591no—
1184C2×C4×D4—591no—
1185C2×C4×D4—591no—
1186C2×C4×D4C2×D5911yescharacteristic
1187C2×C4×D4C2×D5911yescharacteristic, complemented
1188C2×#117—591no—
1189C2×#117—591no—
1190C2×#117—591no—
1191C2×#117—591no—
1192C2×#117—591no—
1193C2×#117—591no—
1194C2×#117—591no—
1195C2×#117—591no—
1196C2×#117—591no—
1197C2×#117—591no—
1198C22×C4⋊C4—591no—
1199C22×C4⋊C4—591no—
1200C22×C4⋊C4—591no—
1201C22×C4⋊C4—591no—
1202C22×C4⋊C4—591no—
1203C22×C4⋊C4—591no—
1204C22×C4⋊C4—591no—
1205C22×C4⋊C4—591no—
1206C22×C4⋊C4C2×D5911yescharacteristic, complemented
1207C22×C22⋊C4—591no—
1208C22×C22⋊C4—591no—
1209C22×C22⋊C4—591no—
1210C22×C22⋊C4—591no—
1211C22×C22⋊C4—591no—
1212C22×C22⋊C4—591no—
1213C22×C42—591no—
1214C59C2×#352011yescharacteristic, complemented, Sylow
1215C25—591no—
1216C25—591no—
1217C2×#41—598no—
1218C2×#41—598no—
1219C2×#41—598no—
1220C2×#41—598no—
1221C2×#41—1188no—
1222C2×#41—1188no—
1223C2×#41—2364no—
1224C2×#41—2364no—
1225C22×Q8—598no—
1226C22×Q8—591no—
1227C22×Q8—591no—
1228C22×Q8—591no—
1229C22×Q8—591no—
1230C22×Q8—591no—
1231C22×Q8—591no—
1232C22×Q8—591no—
1233C22×Q8—591no—
1234C22×Q8—598no—
1235C22×Q8—2364no—
1236C22×Q8—2364no—
1237C22×Q8C22×D5911yescharacteristic
1238C22×D4—591no—
1239C22×D4—591no—
1240C22×D4—591no—
1241C22×D4—591no—
1242C22×D4—591no—
1243C22×D4—591no—
1244C22×D4—591no—
1245C22×D4—591no—
1246C22×D4—598no—
1247C22×D4—591no—
1248C22×D4—591no—
1249C22×D4—591no—
1250C22×D4—591no—
1251C22×D4—1188no—
1252C22×D4C22×D5911yescharacteristic
1253C22×D4C22×D5911yescharacteristic
1254C22×D4C22×D5911yescharacteristic
1255C23×C4—591no—
1256C23×C4—591no—
1257C23×C4—591no—
1258C23×C4—591no—
1259C23×C4—591no—
1260C23×C4—591no—
1261C23×C4—591no—
1262C23×C4—591no—
1263C23×C4—591no—
1264C23×C4—591no—
1265C23×C4—591no—
1266C23×C4—591no—
1267C23×C4—591no—
1268C23×C4—591no—
1269C23×C4—591no—
1270C23×C4—591no—
1271C23×C4—591no—
1272C23×C4—591no—
1273C23×C4—591no—
1274C23×C4—591no—
1275C23×C4—591no—
1276C23×C4—591no—
1277C23×C4—598no—
1278C23×C4—598no—
1279C23×C4—2364no—
1280C23×C4—2364no—
1281C23×C4C22×D5911yescharacteristic
1282C23×C4C22×D5911yescharacteristic
1283C23×C4C22×D5911yescharacteristic
1284C23×C4C22×D5911yescharacteristic
1285C23×C4C22×D5911yescharacteristic
1286C4⋊Q8—598no—
1287C4⋊Q8—598no—
1288C4⋊Q8—598no—
1289C4⋊Q8—598no—
1290#126—598no—
1291#126—598no—
1292#126—598no—
1293#126—598no—
1294#126—598no—
1295#126—598no—
1296#126—598no—
1297#126—598no—
1298#126C22×D5918yescomplemented
1299#126C22×D5918yescomplemented
1300#125—598no—
1301#125—598no—
1302#125—598no—
1303#125—598no—
1304#125—598no—
1305#125C22×D5918yescomplemented
1306#125C22×D5918yescomplemented
1307#124—598no—
1308#124—598no—
1309#124—598no—
1310#124—598no—
1311#124—598no—
1312#124—598no—
1313#124—598no—
1314#123—598no—
1315#123—598no—
1316#123—598no—
1317#123—598no—
1318#123—598no—
1319#123—598no—
1320#123—598no—
1321#123—598no—
1322#123—598no—
1323#123—598no—
1324#123—598no—
1325#123—598no—
1326#123—598no—
1327#123—598no—
1328#123C22×D5918yes—
1329#123C22×D5918yescomplemented
1330#123C22×D5918yescomplemented
1331#123C22×D5918yescomplemented
1332C22⋊Q8—598no—
1333C22⋊Q8—598no—
1334C22⋊Q8—598no—
1335C22⋊Q8—598no—
1336C22⋊Q8—598no—
1337C22⋊Q8—598no—
1338C22⋊Q8—598no—
1339C22⋊Q8—598no—
1340C22⋊Q8—598no—
1341C22⋊Q8—598no—
1342C22⋊Q8—598no—
1343C22⋊Q8—598no—
1344C22⋊Q8—598no—
1345C22⋊Q8—598no—
1346C22⋊Q8—598no—
1347C22⋊Q8—598no—
1348C22⋊Q8—598no—
1349C22⋊Q8—598no—
1350C22⋊Q8—598no—
1351C22⋊Q8—598no—
1352C22⋊Q8—598no—
1353C22⋊Q8—598no—
1354C22⋊Q8—598no—
1355C22⋊Q8—598no—
1356C22⋊Q8—598no—
1357C22⋊Q8—598no—
1358C22⋊Q8C22×D5918yescomplemented
1359C22⋊Q8C22×D5918yescomplemented
1360C22⋊Q8C22×D5918yescomplemented
1361#121—598no—
1362#121—598no—
1363#121—598no—
1364#121—598no—
1365#121—598no—
1366#121—598no—
1367#121—598no—
1368#121—598no—
1369#121C22×D5918yes—
1370#120—598no—
1371#120—598no—
1372#120—598no—
1373#120—598no—
1374C4×Q8—598no—
1375C4×Q8—598no—
1376C4×Q8—598no—
1377C4×Q8—598no—
1378C4×Q8—598no—
1379C4×Q8—598no—
1380C4×Q8—598no—
1381C4×D4—598no—
1382C4×D4—598no—
1383C4×D4—598no—
1384C4×D4—598no—
1385C4×D4—598no—
1386C4×D4—598no—
1387C4×D4—598no—
1388C4×D4—598no—
1389C4×D4—598no—
1390C4×D4—598no—
1391C4×D4—598no—
1392C4×D4—598no—
1393C4×D4—598no—
1394C4×D4—598no—
1395C4×D4—598no—
1396C4×D4—598no—
1397C4×D4—598no—
1398C4×D4—598no—
1399C4×D4—598no—
1400C4×D4—598no—
1401C4×D4—598no—
1402C4×D4—598no—
1403C4×D4—598no—
1404C4×D4C22×D5918yes—
1405C4×D4C22×D5918yescomplemented
1406#117—598no—
1407#117—598no—
1408#117—598no—
1409#117—598no—
1410#117—598no—
1411#117—598no—
1412#117—598no—
1413#117—598no—
1414#117—598no—
1415#117—598no—
1416C2×C4⋊C4—591no—
1417C2×C4⋊C4—591no—
1418C2×C4⋊C4—591no—
1419C2×C4⋊C4—591no—
1420C2×C4⋊C4—591no—
1421C2×C4⋊C4—591no—
1422C2×C4⋊C4—591no—
1423C2×C4⋊C4—591no—
1424C2×C4⋊C4—591no—
1425C2×C4⋊C4—591no—
1426C2×C4⋊C4—591no—
1427C2×C4⋊C4—591no—
1428C2×C4⋊C4—591no—
1429C2×C4⋊C4—591no—
1430C2×C4⋊C4—591no—
1431C2×C4⋊C4—591no—
1432C2×C4⋊C4—591no—
1433C2×C4⋊C4—598no—
1434C2×C4⋊C4—598no—
1435C2×C4⋊C4—591no—
1436C2×C4⋊C4—591no—
1437C2×C4⋊C4—591no—
1438C2×C4⋊C4—598no—
1439C2×C4⋊C4—591no—
1440C2×C4⋊C4—591no—
1441C2×C4⋊C4—591no—
1442C2×C4⋊C4—591no—
1443C2×C4⋊C4—591no—
1444C2×C4⋊C4—591no—
1445C2×C4⋊C4—591no—
1446C2×C4⋊C4—591no—
1447C2×C4⋊C4—591no—
1448C2×C4⋊C4—591no—
1449C2×C4⋊C4—591no—
1450C2×C4⋊C4—591no—
1451C2×C4⋊C4—598no—
1452C2×C4⋊C4—598no—
1453C2×C4⋊C4—598no—
1454C2×C4⋊C4—598no—
1455C2×C4⋊C4—598no—
1456C2×C4⋊C4C22×D5911yescharacteristic
1457C2×C4⋊C4C22×D5911yescharacteristic
1458C2×C4⋊C4C22×D5911yescharacteristic
1459C2×C4⋊C4C22×D5911yescharacteristic
1460C2×C4⋊C4C22×D5911yescharacteristic
1461C2×C4⋊C4C22×D5911yescharacteristic
1462C2×C4⋊C4C22×D5911yescharacteristic
1463C2×C4⋊C4C22×D5911yescharacteristic
1464C2×C4⋊C4C22×D5911yescharacteristic
1465C2×C4⋊C4C22×D5911yescharacteristic
1466C2×C4⋊C4C22×D5911yescharacteristic
1467C2×C4⋊C4C22×D5911yescharacteristic
1468C2×C4⋊C4C22×D5911yescharacteristic
1469C2×C4⋊C4C22×D5911yescharacteristic
1470C2×C4⋊C4C22×D5918yescomplemented
1471C2×C22⋊C4—591no—
1472C2×C22⋊C4—591no—
1473C2×C22⋊C4—591no—
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—591no—
1482C2×C22⋊C4—591no—
1483C2×C22⋊C4—591no—
1484C2×C22⋊C4—591no—
1485C2×C22⋊C4—591no—
1486C2×C22⋊C4—591no—
1487C2×C22⋊C4—591no—
1488C2×C22⋊C4—591no—
1489C2×C22⋊C4—591no—
1490C2×C22⋊C4—591no—
1491C2×C22⋊C4—591no—
1492C2×C22⋊C4—591no—
1493C2×C22⋊C4—598no—
1494C2×C22⋊C4—598no—
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—591no—
1504C2×C22⋊C4—591no—
1505C2×C22⋊C4—598no—
1506C2×C22⋊C4—598no—
1507C2×C22⋊C4—598no—
1508C2×C22⋊C4—598no—
1509C2×C22⋊C4C22×D5911yescharacteristic
1510C2×C22⋊C4C22×D5911yescharacteristic
1511C2×C22⋊C4C22×D5911yescharacteristic
1512C2×C22⋊C4C22×D5911yescharacteristic
1513C2×C22⋊C4C22×D5911yescharacteristic
1514C2×C22⋊C4C22×D5911yescharacteristic
1515C2×C22⋊C4C22×D5911yescharacteristic
1516C2×C22⋊C4C22×D5911yescharacteristic
1517C2×C22⋊C4C22×D5911yescharacteristic
1518C2×C22⋊C4C22×D5911yescharacteristic
1519C2×C42—591no—
1520C2×C42—591no—
1521C2×C42—591no—
1522C2×C42—591no—
1523C2×C42—591no—
1524C2×C42—591no—
1525C2×C42—591no—
1526C2×C42—591no—
1527C2×C42—591no—
1528C2×C42—591no—
1529C2×C42—591no—
1530C2×C42—591no—
1531C2×C42—598no—
1532C2×C42C22×D5911yescharacteristic
1533C2×C42C22×D5911yescharacteristic
1534C24—591no—
1535C24—591no—
1536C24—591no—
1537C24—591no—
1538C24—594no—
1539C24—594no—
1540C24—1184no—
1541C24—1184no—
1542C24—1184no—
1543C24—1184no—
1544C24—2362no—
1545C24—2362no—
1546C24C23×D5911yescharacteristic
1547C24C23×D5911yescharacteristic
1548C24C23×D5911yescharacteristic
1549#41—11832no—
1550#41—11832no—
1551#41—23616no—
1552#41—23616no—
1553C2×Q8—42no—
1554C2×Q8—594no—
1555C2×Q8—594no—
1556C2×Q8—594no—
1557C2×Q8—594no—
1558C2×Q8—594no—
1559C2×Q8—594no—
1560C2×Q8—594no—
1561C2×Q8—594no—
1562C2×Q8—1184no—
1563C2×Q8—1184no—
1564C2×Q8—1184no—
1565C2×Q8—1184no—
1566C2×Q8—1184no—
1567C2×Q8—2362no—
1568C2×Q8—2362no—
1569C2×Q8—2362no—
1570C2×Q8—23616no—
1571C2×Q8—23616no—
1572C2×Q8C23×D5914yes—
1573C2×D4—24no—
1574C2×D4—24no—
1575C2×D4—42no—
1576C2×D4—598no—
1577C2×D4—594no—
1578C2×D4—594no—
1579C2×D4—594no—
1580C2×D4—594no—
1581C2×D4—594no—
1582C2×D4—594no—
1583C2×D4—594no—
1584C2×D4—594no—
1585C2×D4—594no—
1586C2×D4—594no—
1587C2×D4—594no—
1588C2×D4—594no—
1589C2×D4—1184no—
1590C2×D4—1184no—
1591C2×D4—1184no—
1592C2×D4—1184no—
1593C2×D4—1184no—
1594C2×D4—11832no—
1595C2×D4—1184no—
1596C2×D4—1184no—
1597C2×D4—1184no—
1598C2×D4—2362no—
1599C2×D4—2362no—
1600C2×D4—2362no—
1601C2×D4C23×D5914yes—
1602C2×D4C23×D5914yes—
1603C2×D4C23×D5914yes—
1604C22×C4—24no—
1605C22×C4—42no—
1606C22×C4—42no—
1607C22×C4—42no—
1608C22×C4—42no—
1609C22×C4—591no—
1610C22×C4—591no—
1611C22×C4—594no—
1612C22×C4—594no—
1613C22×C4—594no—
1614C22×C4—594no—
1615C22×C4—591no—
1616C22×C4—591no—
1617C22×C4—591no—
1618C22×C4—591no—
1619C22×C4—591no—
1620C22×C4—591no—
1621C22×C4—591no—
1622C22×C4—591no—
1623C22×C4—591no—
1624C22×C4—591no—
1625C22×C4—594no—
1626C22×C4—594no—
1627C22×C4—594no—
1628C22×C4—594no—
1629C22×C4—594no—
1630C22×C4—594no—
1631C22×C4—594no—
1632C22×C4—594no—
1633C22×C4—594no—
1634C22×C4—594no—
1635C22×C4—594no—
1636C22×C4—594no—
1637C22×C4—594no—
1638C22×C4—594no—
1639C22×C4—594no—
1640C22×C4—594no—
1641C22×C4—594no—
1642C22×C4—594no—
1643C22×C4—1184no—
1644C22×C4—1184no—
1645C22×C4—1184no—
1646C22×C4—1184no—
1647C22×C4—1184no—
1648C22×C4—1184no—
1649C22×C4—1184no—
1650C22×C4—1184no—
1651C22×C4—1184no—
1652C22×C4—1184no—
1653C22×C4—1184no—
1654C22×C4—1184no—
1655C22×C4—2362no—
1656C22×C4—2362no—
1657C22×C4—2362no—
1658C22×C4—2362no—
1659C22×C4—2362no—
1660C22×C4—2362no—
1661C22×C4—2362no—
1662C22×C4—2362no—
1663C22×C4—23616no—
1664C22×C4—23616no—
1665C22×C4—2362no—
1666C22×C4—2362no—
1667C22×C4C23×D5914yes—
1668C22×C4C23×D5911yescharacteristic
1669C22×C4C23×D5911yescharacteristic
1670C22×C4C23×D5911yescharacteristic
1671C22×C4C23×D5911yescharacteristic
1672C22×C4C23×D5911yescharacteristic
1673C22×C4C23×D5911yescharacteristic
1674C22×C4C23×D5911yescharacteristic
1675C22×C4C23×D5911yescharacteristic
1676C22×C4C23×D5911yescharacteristic
1677C22×C4C23×D5911yescharacteristic
1678C22×C4C23×D5911yescharacteristic
1679C22×C4C23×D5911yescharacteristic
1680C22×C4C23×D5914yes—
1681C22×C4C23×D5914yes—
1682C22×C4C23×D5914yes—
1683C22×C4C23×D5914yes—
1684C4⋊C4—594no—
1685C4⋊C4—594no—
1686C4⋊C4—594no—
1687C4⋊C4—594no—
1688C4⋊C4—594no—
1689C4⋊C4—594no—
1690C4⋊C4—594no—
1691C4⋊C4—594no—
1692C4⋊C4—594no—
1693C4⋊C4—594no—
1694C4⋊C4—594no—
1695C4⋊C4—594no—
1696C4⋊C4—594no—
1697C4⋊C4—594no—
1698C4⋊C4—594no—
1699C4⋊C4—594no—
1700C4⋊C4—594no—
1701C4⋊C4—594no—
1702C4⋊C4—594no—
1703C4⋊C4—594no—
1704C4⋊C4—594no—
1705C4⋊C4—594no—
1706C4⋊C4—594no—
1707C4⋊C4—594no—
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⋊C4C23×D5914yes—
1717C4⋊C4C23×D5914yes—
1718C4⋊C4C23×D5914yes—
1719C4⋊C4C23×D5914yes—
1720C4⋊C4C23×D5914yes—
1721C4⋊C4C23×D5914yes—
1722C4⋊C4C23×D5914yes—
1723C4⋊C4C23×D5914yes—
1724C4⋊C4C23×D5914yes—
1725C4⋊C4C23×D5914yes—
1726C4⋊C4C23×D5914yes—
1727C4⋊C4C23×D5914yes—
1728C4⋊C4C23×D5914yes—
1729C4⋊C4C23×D5914yes—
1730C22⋊C4—594no—
1731C22⋊C4—594no—
1732C22⋊C4—594no—
1733C22⋊C4—594no—
1734C22⋊C4—594no—
1735C22⋊C4—594no—
1736C22⋊C4—594no—
1737C22⋊C4—594no—
1738C22⋊C4—594no—
1739C22⋊C4—594no—
1740C22⋊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⋊C4C23×D5914yes—
1763C22⋊C4C23×D5914yes—
1764C22⋊C4C23×D5914yes—
1765C22⋊C4C23×D5914yes—
1766C22⋊C4C23×D5914yes—
1767C22⋊C4C23×D5914yes—
1768C22⋊C4C23×D5914yes—
1769C22⋊C4C23×D5914yes—
1770C22⋊C4C23×D5914yes—
1771C22⋊C4C23×D5914yes—
1772C42—594no—
1773C42—594no—
1774C42—594no—
1775C42—594no—
1776C42—594no—
1777C42—594no—
1778C42—594no—
1779C42—594no—
1780C42—594no—
1781C42—594no—
1782C42—594no—
1783C42—594no—
1784C42C23×D5914yes—
1785C42C23×D5914yes—
1786C23—22no—
1787C23—22no—
1788C23—22no—
1789C23—22no—
1790C23—22no—
1791C23—22no—
1792C23—22no—
1793C23—22no—
1794C23—594no—
1795C23—594no—
1796C23—592no—
1797C23—592no—
1798C23—592no—
1799C23—592no—
1800C23—1188no—
1801C23—1188no—
1802C23—1188no—
1803C23—1182no—
1804C23—1182no—
1805C23—1182no—
1806C23—1182no—
1807C23—1182no—
1808C23—1188no—
1809C23—1182no—
1810C23—1182no—
1811C23—1182no—
1812C23—1182no—
1813C23—1182no—
1814C23—2364no—
1815C23—2364no—
1816C23—23616no—
1817C23—23616no—
1818C23#41×D5914yes—
1819C23C24×D5912yes—
1820C23C24×D5912yes—
1821C23C24×D5912yes—
1822C23C24×D5911yescharacteristic
1823Q8—44no—
1824Q8—1188no—
1825Q8—1188no—
1826Q8—1188no—
1827Q8—1188no—
1828Q8—1188no—
1829Q8—2364no—
1830Q8—2364no—
1831Q8—2364no—
1832D4—28no—
1833D4—28no—
1834D4—44no—
1835D4—5916no—
1836D4—1188no—
1837D4—1188no—
1838D4—1188no—
1839D4—1188no—
1840D4—1188no—
1841D4—1188no—
1842D4—1188no—
1843D4—1188no—
1844D4—2364no—
1845D4—2364no—
1846D4—2364no—
1847C2×C4—22no—
1848C2×C4—22no—
1849C2×C4—28no—
1850C2×C4—22no—
1851C2×C4—22no—
1852C2×C4—22no—
1853C2×C4—22no—
1854C2×C4—22no—
1855C2×C4—22no—
1856C2×C4—22no—
1857C2×C4—22no—
1858C2×C4—22no—
1859C2×C4—22no—
1860C2×C4—44no—
1861C2×C4—44no—
1862C2×C4—44no—
1863C2×C4—44no—
1864C2×C4—594no—
1865C2×C4—594no—
1866C2×C4—592no—
1867C2×C4—592no—
1868C2×C4—592no—
1869C2×C4—592no—
1870C2×C4—592no—
1871C2×C4—592no—
1872C2×C4—592no—
1873C2×C4—592no—
1874C2×C4—592no—
1875C2×C4—592no—
1876C2×C4—592no—
1877C2×C4—592no—
1878C2×C4—1188no—
1879C2×C4—1188no—
1880C2×C4—1188no—
1881C2×C4—1188no—
1882C2×C4—1188no—
1883C2×C4—1188no—
1884C2×C4—1188no—
1885C2×C4—1188no—
1886C2×C4—1188no—
1887C2×C4—1188no—
1888C2×C4—1188no—
1889C2×C4—1182no—
1890C2×C4—1182no—
1891C2×C4—1182no—
1892C2×C4—1188no—
1893C2×C4—1182no—
1894C2×C4—1182no—
1895C2×C4—1182no—
1896C2×C4—1182no—
1897C2×C4—1182no—
1898C2×C4—1182no—
1899C2×C4—1182no—
1900C2×C4—2364no—
1901C2×C4—2364no—
1902C2×C4—2364no—
1903C2×C4—2364no—
1904C2×C4—2364no—
1905C2×C4—2364no—
1906C2×C4—2364no—
1907C2×C4—2364no—
1908C2×C4—2364no—
1909C2×C4—2364no—
1910C2×C4C24×D5912yes—
1911C2×C4C24×D5912yes—
1912C2×C4C24×D5912yes—
1913C2×C4C24×D5912yes—
1914C2×C4C24×D5912yes—
1915C2×C4C24×D5912yes—
1916C2×C4C24×D5912yes—
1917C2×C4C24×D5912yes—
1918C2×C4C24×D5912yes—
1919C2×C4C24×D5912yes—
1920C2×C4C24×D5912yes—
1921C2×C4C24×D5912yes—
1922C22—22no—
1923C22—22no—
1924C22—28no—
1925C22—22no—
1926C22—22no—
1927C22—22no—
1928C22—22no—
1929C22—22no—
1930C22—22no—
1931C22—44no—
1932C22—44no—
1933C22—594no—
1934C22—594no—
1935C22—1182no—
1936C22—1182no—
1937C22—1182no—
1938C22—1182no—
1939C22—1188no—
1940C22—1188no—
1941C22—1182no—
1942C22—1182no—
1943C22—1182no—
1944C22—1182no—
1945C22—1182no—
1946C22—1182no—
1947C22—23616no—
1948C22—23616no—
1949C22—2364no—
1950C22—2364no—
1951C22C2×#41×D5914yes—
1952C22C2×#41×D5912yes—
1953C22H(5,𝔽2)×D5912yes—
1954C222−1+4×D5912yes—
1955C22C25×D5911yescharacteristic
1956C4—22no—
1957C4—22no—
1958C4—22no—
1959C4—22no—
1960C4—22no—
1961C4—22no—
1962C4—22no—
1963C4—22no—
1964C4—22no—
1965C4—22no—
1966C4—22no—
1967C4—22no—
1968C4—594no—
1969C4—594no—
1970C4—1182no—
1971C4—1182no—
1972C4—1182no—
1973C4—1182no—
1974C4—1182no—
1975C4—1182no—
1976C4—1182no—
1977C4—1182no—
1978C4—1182no—
1979C4—1182no—
1980C2—24no—
1981C2—42no—
1982C2—42no—
1983C2—1184no—
1984C2—1184no—
1985C2—2362no—
1986C2—2362no—
1987C2#2143813714yesdirect product factor
1988C2C22×#41×D5911yescharacteristic
1989C2C2×H(5,𝔽2)×D5911yescharacteristic
1990C2C2×2−1+4×D5911yescharacteristic
subgroupG/H
centerC23C24×D59
commutator, cosocleC22×C59C26
FrattiniC22C25×D59
FittingC2×C59×#539C2
socleC23×C59C25
hypercenterC2×#539D59
hypocenterC59C2×#3520
LCSG ▷ C22×C59 ▷ C59
UCSC1 ◁ C23 ◁ C2×#539

Complements

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

NH ≅ G/Ntype
1. #21438137C2direct (N × H)
2. C2×#16838119C2semidirect
3. C2×#16838108C2semidirect
4. C2×#16838106C2semidirect
5. C2×#16838089C2semidirect
6. C2×#16838084C2semidirect
7. C2×#16838080C2semidirect
8. C2×#16838079C2semidirect
9. C2×#16838077C2semidirect
10. C2×#16838075C2semidirect
11. C2×#16838065C2semidirect
12. C2×#16838062C2semidirect
13. C2×#16838058C2semidirect
14. C2×#16838050C2semidirect
15. C2×#16838050C2semidirect
16. C2×#16838044C2semidirect
17. C2×#16838041C2semidirect
18. C2×#16838022C2semidirect
19. C2×#16838020C2semidirect
20. C2×#16838000C2semidirect
21. C2×#16837994C2semidirect
22. C2×#16837993C2semidirect
23. C2×#16837958C2semidirect
24. C2×#16837935C2semidirect
25. C2×#16837911C2semidirect
26. C2×#16837910C2semidirect
27. C22×#14273705C2semidirect
28. C2×C22⋊Q8×D59C2semidirect
29. C2×#16837883C2semidirect
30. C2×#16837881C2semidirect
31. C2×C4×D4×D59C2semidirect
32. C2×C59×#539C2semidirect
34. C22×#11745685C22semidirect
36. C22×#11745687C22semidirect
37. C23×Dic118C22semidirect
38. C22×Q8×D59C22semidirect
42. #16838119C22semidirect
43. #16838108C22semidirect
44. #16838106C22semidirect
45. #16838089C22semidirect
46. #16838084C22semidirect
47. #16838080C22semidirect
48. #16838079C22semidirect
49. #16838077C22semidirect
50. #16838075C22semidirect
51. #16838065C22semidirect
52. #16838062C22semidirect
53. #16838058C22semidirect
54. #16838050C22semidirect
55. #16838050C22semidirect
56. #16838044C22semidirect
57. #16838041C22semidirect
58. #16838022C22semidirect
59. #16838020C22semidirect
60. #16838000C22semidirect
61. #16837994C22semidirect
62. #16837993C22semidirect
63. #16837958C22semidirect
64. C2×#14273726C22semidirect
65. C2×#14273726C22semidirect
66. C2×#14273726C22semidirect
67. C2×#14273725C22semidirect
68. #16837935C22semidirect
69. C2×#14273722C22semidirect
70. C2×#14273722C22semidirect
71. C2×#14273722C22semidirect
72. C2×#14273722C22semidirect
73. C2×#14273721C22semidirect
74. C2×#14273720C22semidirect
75. C2×#14273720C22semidirect
76. C2×#14273720C22semidirect
77. C2×#14273719C22semidirect
78. C2×#14273718C22semidirect
79. C2×#14273717C22semidirect
80. C2×#14273717C22semidirect
81. C2×#14273717C22semidirect
82. C2×#14273716C22semidirect
83. C2×#14273714C22semidirect
86. C2×#14273713C22semidirect
87. C2×#14273713C22semidirect
88. C2×#14273713C22semidirect
89. #16837911C22semidirect
90. #16837910C22semidirect
94. C2×#14273712C22semidirect
95. C2×#14273712C22semidirect
96. C2×#14273712C22semidirect
97. C2×#14273711C22semidirect
98. C2×#14273711C22semidirect
99. C2×#14273710C22semidirect
101. C2×#14273709C22semidirect
102. C2×#14273709C22semidirect
103. C2×#14273709C22semidirect
106. C2×#14273707C22semidirect
107. C2×#14273707C22semidirect
108. C2×#14273706C22semidirect
116. C2×#14273705C22semidirect
117. C2×#14273705C22semidirect
118. C2×#14273705C22semidirect
119. C2×#14273705C22semidirect
120. C2×#14273705C22semidirect
121. C2×#14273705C22semidirect
122. C2×#14273705C22semidirect
123. C2×#14273705C22semidirect
124. C2×#14273705C22semidirect
125. C2×#14273704C22semidirect
126. C2×#14273704C22semidirect
127. C2×#14273704C22semidirect
128. C2×#14273704C22semidirect
129. C2×#14273704C22semidirect
130. C2×#14273704C22semidirect
132. C22⋊Q8×D59C22semidirect
137. C2×#14273700C22semidirect
140. C2×#14273699C22semidirect
145. #16837883C22semidirect
146. #16837881C22semidirect
147. C2×C4×Dic118C22semidirect
148. C2×#14273692C22semidirect
149. C2×#14273692C22semidirect
150. C2×#14273692C22semidirect
151. C2×#14273692C22semidirect
152. C2×#14273692C22semidirect
153. C2×#14273692C22semidirect
157. C2×D4×Dic59C22semidirect
161. C2×#14273689C22semidirect
162. C2×#14273689C22semidirect
167. C2×C4×C22⋊D59C22semidirect
168. C2×C4×C22⋊D59C22semidirect
169. C2×C4×C22⋊D59C22semidirect
175. C2×(C22⋊D59)⋊C4C22semidirect
176. C2×(C22⋊D59)⋊C4C22semidirect
177. C4×D4×D59C22semidirect
178. C2×#14273686C22semidirect
181. C2×#14273685C22semidirect
182. C2×#14273685C22semidirect
183. C2×#14273684C22semidirect
184. C2×#14273684C22semidirect
185. C2×#14273683C22semidirect
186. C2×#14273683C22semidirect
187. C2×#14273683C22semidirect
188. C22×Dic59⋊C4C22semidirect
189. C22×Dic59⋊C4C22semidirect
190. C22×Dic59⋊C4C22semidirect
192. C2×C4⋊C4×D59C22semidirect
193. C2×C4⋊C4×D59C22semidirect
194. C2×C4⋊C4×D59C22semidirect
195. C2×C4⋊C4×D59C22semidirect
203. C59×#539C22semidirect
204. C2×#126×C59C22semidirect
205. C2×#126×C59C22semidirect
206. C2×#125×C59C22semidirect
207. C2×#125×C59C22semidirect
209. C2×#123×C59C22semidirect
210. C2×#123×C59C22semidirect
211. C2×#123×C59C22semidirect
212. C2×C22⋊Q8×C59C22semidirect
213. C2×C22⋊Q8×C59C22semidirect
214. C2×C22⋊Q8×C59C22semidirect
217. C2×C4×D4×C59C22semidirect
218. C22×C4⋊C4×C59C22semidirect
224. C2×#11745685C23semidirect
228. C2×#11745687C23semidirect
238. C22×Dic118C23semidirect
240. C2×Q8×D59C23semidirect
281. #14273726C23semidirect
282. #14273726C23semidirect
283. #14273726C23semidirect
284. #14273725C23semidirect
285. #14273722C23semidirect
286. #14273722C23semidirect
287. #14273722C23semidirect
288. #14273722C23semidirect
289. #14273721C23semidirect
290. #14273720C23semidirect
291. #14273720C23semidirect
292. #14273720C23semidirect
293. #14273719C23semidirect
294. #14273718C23semidirect
295. #14273717C23semidirect
296. #14273717C23semidirect
297. #14273717C23semidirect
298. #14273716C23semidirect
299. #14273714C23semidirect
302. #14273713C23semidirect
303. #14273713C23semidirect
304. #14273713C23semidirect
308. #14273712C23semidirect
309. #14273712C23semidirect
310. #14273712C23semidirect
311. #14273711C23semidirect
312. #14273711C23semidirect
313. #14273710C23semidirect
315. #14273709C23semidirect
316. #14273709C23semidirect
317. #14273709C23semidirect
320. #14273707C23semidirect
321. #14273707C23semidirect
322. #14273706C23semidirect
330. #14273705C23semidirect
331. #14273705C23semidirect
332. #14273705C23semidirect
333. #14273705C23semidirect
334. #14273705C23semidirect
335. #14273705C23semidirect
336. #14273705C23semidirect
337. #14273705C23semidirect
338. #14273704C23semidirect
339. #14273704C23semidirect
340. #14273704C23semidirect
341. #14273704C23semidirect
342. #14273704C23semidirect
343. #14273704C23semidirect
349. #14273700C23semidirect
352. #14273699C23semidirect
357. C4×Dic118C23semidirect
358. #14273692C23semidirect
359. #14273692C23semidirect
360. #14273692C23semidirect
361. #14273692C23semidirect
362. #14273692C23semidirect
363. #14273692C23semidirect
367. D4×Dic59C23semidirect
371. #14273689C23semidirect
372. #14273689C23semidirect
377. C4×C22⋊D59C23semidirect
378. C4×C22⋊D59C23semidirect
379. C4×C22⋊D59C23semidirect
385. (C22⋊D59)⋊C4C23semidirect
386. (C22⋊D59)⋊C4C23semidirect
387. #14273686C23semidirect
390. #14273685C23semidirect
391. #14273685C23semidirect
392. #14273684C23semidirect
393. #14273684C23semidirect
394. #14273683C23semidirect
395. #14273683C23semidirect
396. #14273683C23semidirect
429. C2×Dic59⋊C4C23semidirect
430. C2×Dic59⋊C4C23semidirect
431. C2×Dic59⋊C4C23semidirect
433. C4⋊C4×D59C23semidirect
434. C4⋊C4×D59C23semidirect
435. C4⋊C4×D59C23semidirect
436. C4⋊C4×D59C23semidirect
497. #126×C59C23semidirect
498. #126×C59C23semidirect
499. #125×C59C23semidirect
500. #125×C59C23semidirect
502. #123×C59C23semidirect
503. #123×C59C23semidirect
504. #123×C59C23semidirect
505. C22⋊Q8×C59C23semidirect
506. C22⋊Q8×C59C23semidirect
507. C22⋊Q8×C59C23semidirect
510. C4×D4×C59C23semidirect
525. C2×C4⋊C4×C59C23semidirect
590. C2×C22⋊D59#41semidirect
867. C22⋊D59C2×#41semidirect
1007. C2×#539D59semidirect
1020. C2×C59#3520semidirect
1058. #539C2×D59semidirect
1073. C2×#126C2×D59semidirect
1074. C2×#126C2×D59semidirect
1080. C2×#125C2×D59semidirect
1081. C2×#125C2×D59semidirect
1106. C2×#123C2×D59semidirect
1107. C2×#123C2×D59semidirect
1108. C2×#123C2×D59semidirect
1137. C2×C22⋊Q8C2×D59semidirect
1138. C2×C22⋊Q8C2×D59semidirect
1139. C2×C22⋊Q8C2×D59semidirect
1187. C2×C4×D4C2×D59semidirect
1206. C22×C4⋊C4C2×D59semidirect
1214. C59C2×#3520semidirect
1298. #126C22×D59semidirect
1299. #126C22×D59semidirect
1305. #125C22×D59semidirect
1306. #125C22×D59semidirect
1329. #123C22×D59semidirect
1330. #123C22×D59semidirect
1331. #123C22×D59semidirect
1358. C22⋊Q8C22×D59semidirect
1359. C22⋊Q8C22×D59semidirect
1360. C22⋊Q8C22×D59semidirect
1405. C4×D4C22×D59semidirect
1470. C2×C4⋊C4C22×D59semidirect
1987. C2#21438137direct (N × H)

Maximal subgroups

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

subgroupindex
#214381372
C2×#168381192
C2×#168381082
C2×#168381062
C2×#168380892
C2×#168380842
C2×#168380802
C2×#168380792
C2×#168380772
C2×#168380752
C2×#168380652
C2×#168380622
C2×#168380582
C2×#168380502
C2×#168380442
C2×#168380412
C2×#168380222
C2×#168380202
C2×#168380002
C2×#168379942
C2×#168379932
C2×#168379582
C2×#168379352
C2×#168379112
C2×#168379102
C22×#142737052
C2×C22⋊Q8×D592
C2×#168378832
C2×#168378812
C2×C4×D4×D592
C2×C59×#5392
C2×#352059