Finite Group Databasebeta

← C2×#21438134 #29496699

Subgroups — C2×#21438134 #29496699

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#21438134C2132yesmaximal, direct product factor
2C2×#16838119C211yesmaximal, characteristic, complemented
3C2×#16838111C211yesmaximal, characteristic, complemented
4C2×#16838106C211yesmaximal, characteristic, complemented
5C2×#16838088C211yesmaximal, characteristic, complemented
6C2×#16838085C211yesmaximal, characteristic, complemented
7C2×#16838078C211yesmaximal, characteristic, complemented
8C2×#16838076C211yesmaximal, characteristic, complemented
9C2×#16838075C211yesmaximal, characteristic, complemented
10C2×#16838065C211yesmaximal, characteristic, complemented
11C2×#16838061C211yesmaximal, characteristic, complemented
12C2×#16838060C211yesmaximal, characteristic, complemented
13C2×#16838050C211yesmaximal, characteristic, complemented
14C2×#16838050C211yesmaximal, characteristic, complemented
15C2×#16838042C211yesmaximal, characteristic, complemented
16C2×#16838039C211yesmaximal, characteristic, complemented
17C2×#16838018C211yesmaximal, characteristic, complemented
18C2×#16838016C211yesmaximal, characteristic, complemented
19C2×#16838001C211yesmaximal, characteristic, complemented
20C2×#16837996C211yesmaximal, characteristic, complemented
21C2×#16837995C211yesmaximal, characteristic, complemented
22C2×#16837993C211yesmaximal, characteristic, complemented
23C2×#16837955C211yesmaximal, characteristic, complemented
24C2×#16837929C211yesmaximal, characteristic, complemented
25C2×#16837911C211yesmaximal, characteristic, complemented
26C2×#16837908C211yesmaximal, characteristic, complemented
27C22×#14273704C211yesmaximal, characteristic, complemented
28C2×C22⋊Q8×D59C211yesmaximal, characteristic, complemented
29C2×#16837882C211yesmaximal, characteristic, complemented
30C2×#16837881C211yesmaximal, characteristic, complemented
31C22×(C22⋊D59)⋊C4C211yesmaximal, characteristic, complemented
32C2×C59×#551C211yesmaximal, characteristic, complemented
33C22×#11745685C2211yescharacteristic
34C22×#11745685C2211yescharacteristic, complemented
35C22×#11745687C2211yescharacteristic
36C22×#11745687C2211yescharacteristic, complemented
37C23×Dic118C2211yescharacteristic, complemented
38C22×Q8×D59C2211yescharacteristic, complemented
39C23×C22⋊D59C2211yescharacteristic
40C24×Dic59C2211yescharacteristic
41C23×C4×D59C2211yescharacteristic
42#16838119C22116yescomplemented
43#16838111C22116yescomplemented
44#16838106C22116yescomplemented
45#16838088C22116yescomplemented
46#16838085C22116yescomplemented
47#16838078C22116yescomplemented
48#16838076C22116yescomplemented
49#16838075C22116yescomplemented
50#16838065C22116yescomplemented
51#16838061C22116yescomplemented
52#16838060C22116yescomplemented
53#16838050C22116yescomplemented
54#16838050C22116yescomplemented
55#16838042C22116yescomplemented
56#16838039C22116yescomplemented
57#16838018C22116yescomplemented
58#16838016C22116yescomplemented
59#16838001C22116yescomplemented
60#16837996C22116yescomplemented
61#16837995C22116yescomplemented
62#16837993C22116yescomplemented
63#16837955C22116yescomplemented
64C2×#14273726C2211yescharacteristic, complemented
65C2×#14273726C2211yescharacteristic, complemented
66C2×#14273726C2211yescharacteristic, complemented
67C2×#14273725C2211yescharacteristic, complemented
68#16837929C22116yescomplemented
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×#14273718C2211yescharacteristic, complemented
80C2×#14273718C2211yescharacteristic, complemented
81C2×#14273717C2211yescharacteristic, complemented
82C2×#14273717C2211yescharacteristic, complemented
83C2×#14273717C2211yescharacteristic, complemented
84C2×#14273715C2211yescharacteristic, complemented
85C2×#14273713C2211yescharacteristic
86C2×#14273713C2211yescharacteristic
87C2×#14273713C2211yescharacteristic, complemented
88C2×#14273713C2211yescharacteristic, complemented
89C2×#14273713C2211yescharacteristic, complemented
90#16837911C22116yescomplemented
91#16837908C22116yescomplemented
92C2×#14273712C2211yescharacteristic, complemented
93C2×#14273712C2211yescharacteristic, complemented
94C2×#14273712C2211yescharacteristic, complemented
95C2×#14273711C2211yescharacteristic
96C2×#14273711C2211yescharacteristic, complemented
97C2×#14273711C2211yescharacteristic, complemented
98C2×#14273711C2211yescharacteristic, complemented
99C2×#14273710C2211yescharacteristic
100C2×#14273710C2211yescharacteristic
101C2×#14273709C2211yescharacteristic
102C2×#14273709C2211yescharacteristic
103C2×#14273709C2211yescharacteristic, complemented
104C2×#14273709C2211yescharacteristic, complemented
105C2×#14273709C2211yescharacteristic, complemented
106C2×#14273708C2211yescharacteristic, complemented
107C2×#14273707C2211yescharacteristic, complemented
108C2×#14273707C2211yescharacteristic, complemented
109C2×#14273706C2211yescharacteristic
110C2×#14273706C2211yescharacteristic, complemented
111C2×#14273705C2211yescharacteristic, complemented
112C2×#14273705C2211yescharacteristic, complemented
113C2×#14273705C2211yescharacteristic, complemented
114C2×#14273705C2211yescharacteristic, complemented
115C2×#14273705C2211yescharacteristic, complemented
116C2×#14273705C2211yescharacteristic, complemented
117C2×#14273704C2211yescharacteristic
118C2×#14273704C2211yescharacteristic
119C2×#14273704C2211yescharacteristic
120C2×#14273704C2211yescharacteristic
121C2×#14273704C2211yescharacteristic
122C2×#14273704C2211yescharacteristic
123C2×#14273704C2211yescharacteristic
124C2×#14273704C2211yescharacteristic, complemented
125C2×#14273704C2211yescharacteristic, complemented
126C2×#14273704C2211yescharacteristic, complemented
127C2×#14273704C2211yescharacteristic, complemented
128C2×#14273704C2211yescharacteristic, complemented
129C2×#14273704C2211yescharacteristic, complemented
130C2×#14273704C2211yescharacteristic, complemented
131C2×#14273704C2211yescharacteristic, complemented
132C2×#14273704C22116yescomplemented
133C2×#14273703C2211yescharacteristic, complemented
134C2×#14273703C2211yescharacteristic, complemented
135C22⋊Q8×D59C22116yescomplemented
136C2×#14273701C2211yescharacteristic
137C2×#14273700C2211yescharacteristic
138C2×#14273700C2211yescharacteristic
139C2×#14273700C2211yescharacteristic, complemented
140C2×#14273699C2211yescharacteristic
141C2×#14273699C2211yescharacteristic
142C2×#14273699C2211yescharacteristic
143C2×#14273699C2211yescharacteristic, complemented
144C2×#14273698C2211yescharacteristic
145C2×#14273697C2211yescharacteristic
146C2×#14273696C2211yescharacteristic
147C2×#14273695C2211yescharacteristic
148#16837882C22116yescomplemented
149#16837881C22116yescomplemented
150C2×C4×Dic118C2211yescharacteristic, complemented
151C2×C4×Dic118C2211yescharacteristic, complemented
152C2×C4×Dic118C2211yescharacteristic, complemented
153C2×C4×Dic118C2211yescharacteristic, complemented
154C2×C4×Dic118C2211yescharacteristic, complemented
155C2×#14273692C2211yescharacteristic, complemented
156C2×#14273692C2211yescharacteristic, complemented
157C2×C4×D236C2211yescharacteristic, complemented
158C2×C4×D236C2211yescharacteristic, complemented
159C2×D4×Dic59C2211yescharacteristic
160C2×D4×Dic59C2211yescharacteristic
161C2×D4×Dic59C2211yescharacteristic, complemented
162C2×C4×C22⋊D59C2211yescharacteristic
163C2×C4×C22⋊D59C2211yescharacteristic
164C2×C4×C22⋊D59C2211yescharacteristic, complemented
165C2×(C22⋊D59)⋊C4C2211yescharacteristic
166C2×(C22⋊D59)⋊C4C2211yescharacteristic
167C2×(C22⋊D59)⋊C4C2211yescharacteristic
168C2×(C22⋊D59)⋊C4C2211yescharacteristic
169C2×(C22⋊D59)⋊C4C2211yescharacteristic
170C2×(C22⋊D59)⋊C4C2211yescharacteristic
171C2×(C22⋊D59)⋊C4C2211yescharacteristic
172C2×(C22⋊D59)⋊C4C2211yescharacteristic
173C2×(C22⋊D59)⋊C4C2211yescharacteristic
174C2×(C22⋊D59)⋊C4C2211yescharacteristic
175C2×(C22⋊D59)⋊C4C2211yescharacteristic
176C2×(C22⋊D59)⋊C4C22116yescomplemented
177C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
178C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
179C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
180C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
181C2×#14273686C2211yescharacteristic
182C2×#14273685C2211yescharacteristic, complemented
183C2×#14273685C2211yescharacteristic, complemented
184C2×#14273684C2211yescharacteristic, complemented
185C2×#14273684C2211yescharacteristic, complemented
186C2×#14273683C2211yescharacteristic, complemented
187C2×#14273683C2211yescharacteristic, complemented
188C2×#14273683C2211yescharacteristic, complemented
189C22×C4⋊Dic59C2211yescharacteristic, complemented
190C22×Dic59⋊C4C2211yescharacteristic
191C22×Dic59⋊C4C2211yescharacteristic, complemented
192C22×Dic59⋊C4C2211yescharacteristic, complemented
193C22×Dic59⋊C4C2211yescharacteristic, complemented
194C2×C4⋊C4×D59C2211yescharacteristic, complemented
195C2×C4⋊C4×D59C2211yescharacteristic, complemented
196C2×C4⋊C4×D59C2211yescharacteristic, complemented
197C2×C4⋊C4×D59C2211yescharacteristic, complemented
198C22×C22⋊Dic59C2211yescharacteristic
199C22×(C2×D59)⋊C4C2211yescharacteristic
200C2×C22⋊C4×D59C2211yescharacteristic
201C2×C22⋊C4×D59C2211yescharacteristic
202C22×C4×Dic59C2211yescharacteristic
203C59×#551C22116yescomplemented
204C2×#126×C59C2211yescharacteristic, complemented
205C2×#126×C59C2211yescharacteristic, complemented
206C2×#124×C59C2211yescharacteristic, complemented
207C2×#123×C59C2211yescharacteristic
208C2×#123×C59C2211yescharacteristic, complemented
209C2×#123×C59C2211yescharacteristic, complemented
210C2×C22⋊Q8×C59C2211yescharacteristic
211C2×C22⋊Q8×C59C2211yescharacteristic, complemented
212C2×#120×C59C2211yescharacteristic
213C2×C4×D4×C59C2211yescharacteristic
214C2×C4×D4×C59C2211yescharacteristic, complemented
215C2×#117×C59C2211yescharacteristic
216C2×#117×C59C2211yescharacteristic, complemented
217C22×C22⋊C4×C59C2211yescharacteristic
218C22×C22⋊C4×C59C2211yescharacteristic
219C24×D59C2311yescharacteristic
220C2×#11745685—28no—
221C2×#11745685—44no—
222C2×#11745685C2318yes—
223C2×#11745685C2318yescomplemented
224C2×#11745687—28no—
225C2×#11745687—44no—
226C2×#11745687C2318yes—
227C2×#11745687C2318yescomplemented
228C22×Dic118—44no—
229C22×Dic118C2311yescharacteristic
230C22×Dic118C2311yescharacteristic
231C22×Dic118C2311yescharacteristic
232C22×Dic118C2311yescharacteristic
233C22×Dic118C2311yescharacteristic
234C22×Dic118C2311yescharacteristic
235C22×Dic118C2311yescharacteristic
236C22×Dic118C2311yescharacteristic
237C22×Dic118C2318yescomplemented
238C2×Q8×D59—44no—
239C2×Q8×D59C2318yescomplemented
240C22×D236C2311yescharacteristic
241C22×D236C2311yescharacteristic
242C22×C22⋊D59—28no—
243C22×C22⋊D59C2311yescharacteristic
244C22×C22⋊D59C2311yescharacteristic
245C22×C22⋊D59C2311yescharacteristic
246C22×C22⋊D59C2311yescharacteristic
247C22×C22⋊D59C2311yescharacteristic
248C22×C22⋊D59C2311yescharacteristic
249C22×C22⋊D59C2311yescharacteristic
250C22×C22⋊D59C2318yes—
251C22×C22⋊D59C2311yescharacteristic
252C22×C22⋊D59C2311yescharacteristic
253C22×C22⋊D59C2311yescharacteristic
254C23×Dic59—44no—
255C23×Dic59C2311yescharacteristic
256C23×Dic59C2311yescharacteristic
257C23×Dic59C2311yescharacteristic
258C23×Dic59C2311yescharacteristic
259C23×Dic59C2311yescharacteristic
260C23×Dic59C2311yescharacteristic
261C23×Dic59C2311yescharacteristic
262C23×Dic59C2311yescharacteristic
263C23×Dic59C2311yescharacteristic
264C23×Dic59C2318yes—
265C23×Dic59C2311yescharacteristic
266C23×Dic59C2311yescharacteristic
267C22×C4×D59—44no—
268C22×C4×D59C2311yescharacteristic
269C22×C4×D59C2311yescharacteristic
270C22×C4×D59C2311yescharacteristic
271C22×C4×D59C2311yescharacteristic
272C22×C4×D59C2311yescharacteristic
273C22×C4×D59C2311yescharacteristic
274C22×C4×D59C2311yescharacteristic
275C22×C4×D59C2318yes—
276C22×C4×D59C2311yescharacteristic
277C22×C4×D59C2311yescharacteristic
278C22×C4×D59C2311yescharacteristic
279C22×C4×D59C2311yescharacteristic
280#14273726C2318yescomplemented
281#14273726C2318yescomplemented
282#14273726C2318yescomplemented
283#14273725C2318yescomplemented
284#14273722C2318yescomplemented
285#14273722C2318yescomplemented
286#14273722C2318yescomplemented
287#14273722C2318yescomplemented
288#14273721C2318yescomplemented
289#14273720C2318yescomplemented
290#14273720C2318yescomplemented
291#14273720C2318yescomplemented
292#14273719C2318yescomplemented
293#14273718C2318yescomplemented
294#14273718C2318yescomplemented
295#14273718C2318yescomplemented
296#14273717C2318yescomplemented
297#14273717C2318yescomplemented
298#14273717C2318yescomplemented
299#14273715C2318yescomplemented
300#14273713C2318yes—
301#14273713C2318yes—
302#14273713C2318yescomplemented
303#14273713C2318yescomplemented
304#14273713C2318yescomplemented
305#14273712C2318yescomplemented
306#14273712C2318yescomplemented
307#14273712C2318yescomplemented
308#14273711C2318yes—
309#14273711C2318yescomplemented
310#14273711C2318yescomplemented
311#14273711C2318yescomplemented
312#14273710C2318yes—
313#14273710C2318yes—
314#14273709C2318yes—
315#14273709C2318yes—
316#14273709C2318yescomplemented
317#14273709C2318yescomplemented
318#14273709C2318yescomplemented
319#14273708C2318yescomplemented
320#14273707C2318yescomplemented
321#14273707C2318yescomplemented
322#14273706C2318yes—
323#14273706C2318yescomplemented
324#14273705C2318yescomplemented
325#14273705C2318yescomplemented
326#14273705C2318yescomplemented
327#14273705C2318yescomplemented
328#14273705C2318yescomplemented
329#14273705C2318yescomplemented
330#14273704C2318yes—
331#14273704C2318yes—
332#14273704C2318yes—
333#14273704C2318yes—
334#14273704C2318yes—
335#14273704C2318yes—
336#14273704C2318yes—
337#14273704C2318yescomplemented
338#14273704C2318yescomplemented
339#14273704C2318yescomplemented
340#14273704C2318yescomplemented
341#14273704C2318yescomplemented
342#14273704C2318yescomplemented
343#14273704C2318yescomplemented
344#14273704C2318yescomplemented
345#14273703C2318yescomplemented
346#14273703C2318yescomplemented
347#14273701C2318yes—
348#14273700C2318yes—
349#14273700C2318yes—
350#14273700C2318yescomplemented
351#14273699C2318yes—
352#14273699C2318yes—
353#14273699C2318yes—
354#14273699C2318yescomplemented
355#14273698C2318yes—
356#14273697C2318yes—
357#14273696C2318yes—
358#14273695C2318yes—
359C4×Dic118C2318yescomplemented
360C4×Dic118C2318yescomplemented
361C4×Dic118C2318yescomplemented
362C4×Dic118C2318yescomplemented
363C4×Dic118C2318yescomplemented
364#14273692C2318yescomplemented
365#14273692C2318yescomplemented
366C4×D236C2318yescomplemented
367C4×D236C2318yescomplemented
368D4×Dic59C2318yes—
369D4×Dic59C2318yes—
370D4×Dic59C2318yescomplemented
371C4×C22⋊D59C2318yes—
372C4×C22⋊D59C2318yes—
373C4×C22⋊D59C2318yescomplemented
374(C22⋊D59)⋊C4C2318yes—
375(C22⋊D59)⋊C4C2318yes—
376(C22⋊D59)⋊C4C2318yes—
377(C22⋊D59)⋊C4C2318yes—
378(C22⋊D59)⋊C4C2318yes—
379(C22⋊D59)⋊C4C2318yes—
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(C22⋊D59)⋊C4C2318yescomplemented
388(C22⋊D59)⋊C4C2318yescomplemented
389#14273686C2318yes—
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×C4⋊Dic59C2311yescharacteristic
406C2×C4⋊Dic59C2311yescharacteristic
407C2×C4⋊Dic59C2311yescharacteristic
408C2×C4⋊Dic59C2311yescharacteristic
409C2×C4⋊Dic59C2318yescomplemented
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⋊C4C2311yescharacteristic
430C2×Dic59⋊C4C2311yescharacteristic
431C2×Dic59⋊C4C2311yescharacteristic
432C2×Dic59⋊C4C2311yescharacteristic
433C2×Dic59⋊C4C2311yescharacteristic
434C2×Dic59⋊C4C2311yescharacteristic
435C2×Dic59⋊C4C2318yes—
436C2×Dic59⋊C4C2311yescharacteristic
437C2×Dic59⋊C4C2318yescomplemented
438C2×Dic59⋊C4C2318yescomplemented
439C2×Dic59⋊C4C2318yescomplemented
440C4⋊C4×D59C2318yescomplemented
441C4⋊C4×D59C2318yescomplemented
442C4⋊C4×D59C2318yescomplemented
443C4⋊C4×D59C2318yescomplemented
444C2×C22⋊Dic59C2311yescharacteristic
445C2×C22⋊Dic59C2311yescharacteristic
446C2×C22⋊Dic59C2311yescharacteristic
447C2×C22⋊Dic59C2311yescharacteristic
448C2×C22⋊Dic59C2311yescharacteristic
449C2×C22⋊Dic59C2311yescharacteristic
450C2×C22⋊Dic59C2311yescharacteristic
451C2×C22⋊Dic59C2311yescharacteristic
452C2×C22⋊Dic59C2311yescharacteristic
453C2×C22⋊Dic59C2311yescharacteristic
454C2×C22⋊Dic59C2318yes—
455C2×(C2×D59)⋊C4C2311yescharacteristic
456C2×(C2×D59)⋊C4C2311yescharacteristic
457C2×(C2×D59)⋊C4C2311yescharacteristic
458C2×(C2×D59)⋊C4C2311yescharacteristic
459C2×(C2×D59)⋊C4C2311yescharacteristic
460C2×(C2×D59)⋊C4C2311yescharacteristic
461C2×(C2×D59)⋊C4C2311yescharacteristic
462C2×(C2×D59)⋊C4C2311yescharacteristic
463C2×(C2×D59)⋊C4C2311yescharacteristic
464C2×(C2×D59)⋊C4C2311yescharacteristic
465C2×(C2×D59)⋊C4C2311yescharacteristic
466C2×(C2×D59)⋊C4C2311yescharacteristic
467C2×(C2×D59)⋊C4C2311yescharacteristic
468C2×(C2×D59)⋊C4C2311yescharacteristic
469C2×(C2×D59)⋊C4C2311yescharacteristic
470C2×(C2×D59)⋊C4C2311yescharacteristic
471C2×(C2×D59)⋊C4C2311yescharacteristic
472C2×(C2×D59)⋊C4C2318yes—
473C2×(C2×D59)⋊C4C2311yescharacteristic
474C22⋊C4×D59C2318yes—
475C22⋊C4×D59C2318yes—
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×Dic59C2318yes—
486C2×C4×Dic59C2311yescharacteristic
487C2×C4×Dic59C2311yescharacteristic
488C25×C59C2311yescharacteristic
489C22×Q8×C59C2311yescharacteristic
490C22×D4×C59C2311yescharacteristic
491C22×D4×C59C2311yescharacteristic
492C22×D4×C59C2311yescharacteristic
493C23×C4×C59C2311yescharacteristic
494C23×C4×C59C2311yescharacteristic
495C23×C4×C59C2311yescharacteristic
496C23×C4×C59C2311yescharacteristic
497C23×C4×C59C2311yescharacteristic
498#126×C59C2318yescomplemented
499#126×C59C2318yescomplemented
500#124×C59C2318yescomplemented
501#123×C59C2318yes—
502#123×C59C2318yescomplemented
503#123×C59C2318yescomplemented
504C22⋊Q8×C59C2318yes—
505C22⋊Q8×C59C2318yescomplemented
506#120×C59C2318yes—
507C4×D4×C59C2318yes—
508C4×D4×C59C2318yescomplemented
509#117×C59C2318yes—
510#117×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×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×C59C2318yes—
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×C59C2318yes—
535C2×C42×C59C2311yescharacteristic
536C2×C42×C59C2311yescharacteristic
537C2×C42×C59C2311yescharacteristic
538C24×C59—24no—
539C24×C59—24no—
540C24×C59—42no—
541C24×C59C2411yescharacteristic
542C24×C59C2411yescharacteristic
543C24×C59C2414yes—
544C24×C59C2411yescharacteristic
545C24×C59C2411yescharacteristic
546C23×D59—24no—
547C23×D59—24no—
548C23×D59—42no—
549C23×D59C2411yescharacteristic
550C23×D59C2411yescharacteristic
551C23×D59C2414yes—
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—24no—
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×C59C2414yes—
578C22×C4×C59C2414yes—
579C22×C4×C59C2414yes—
580C22×C4×C59C2414yes—
581C22×C4×C59C2414yes—
582C2×C22⋊D59—24no—
583C2×C22⋊D59—24no—
584C2×C22⋊D59—24no—
585C2×C22⋊D59—24no—
586C2×C22⋊D59—24no—
587C2×C22⋊D59—232no—
588C2×C22⋊D59—24no—
589C2×C22⋊D59—24no—
590C2×C22⋊D59—42no—
591C2×C22⋊D59—42no—
592C2×C22⋊D59#4118yescomplemented
593C2×C22⋊D59C2414yes—
594C2×C22⋊D59C2414yes—
595C2×C22⋊D59C2414yes—
596C2×C22⋊D59C2414yes—
597C2×C22⋊D59C2414yes—
598C2×C22⋊D59C2414yes—
599C2×C22⋊D59C2414yes—
600C2×C22⋊D59C2414yes—
601C2×C22⋊D59C2414yes—
602C2×C22⋊D59C2414yes—
603C22×Dic59—24no—
604C22×Dic59—24no—
605C22×Dic59—24no—
606C22×Dic59—24no—
607C22×Dic59—24no—
608C22×Dic59—24no—
609C22×Dic59—416no—
610C22×Dic59—42no—
611C22×Dic59—42no—
612C22×Dic59—42no—
613C22×Dic59—42no—
614C22×Dic59—42no—
615C22×Dic59C2411yescharacteristic
616C22×Dic59C2411yescharacteristic
617C22×Dic59C2411yescharacteristic
618C22×Dic59C2411yescharacteristic
619C22×Dic59C2411yescharacteristic
620C22×Dic59C2411yescharacteristic
621C22×Dic59C2414yes—
622C22×Dic59C2414yes—
623C22×Dic59C2411yescharacteristic
624C22×Dic59C2411yescharacteristic
625C22×Dic59C2411yescharacteristic
626C22×Dic59C2411yescharacteristic
627C22×Dic59C2411yescharacteristic
628C22×Dic59C2414yes—
629C22×Dic59C2414yes—
630C22×Dic59C2414yes—
631C22×Dic59C2414yes—
632C22×Dic59C2414yes—
633C22×Dic59C2414yes—
634C22×Dic59C2414yes—
635C22×Dic59C2414yes—
636C22×Dic59C2414yes—
637C22×Dic59C2411yescharacteristic
638C22×Dic59C2411yescharacteristic
639Q8×D59—416no—
640#11745687—232no—
641#11745687—416no—
642#11745685—232no—
643#11745685—416no—
644C2×D236—24no—
645C2×D236—42no—
646C2×D236C2414yes—
647C2×D236C2414yes—
648C2×C4×D59—24no—
649C2×C4×D59—24no—
650C2×C4×D59—24no—
651C2×C4×D59—24no—
652C2×C4×D59—24no—
653C2×C4×D59—416no—
654C2×C4×D59—42no—
655C2×C4×D59—42no—
656C2×C4×D59—42no—
657C2×C4×D59—42no—
658C2×C4×D59—42no—
659C2×C4×D59—42no—
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—
696C22⋊C4×C59C2414yes—
697C22⋊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—
710C42×C59C2414yes—
711C42×C59C2414yes—
712C42×C59C2414yes—
713C22⋊Dic59C2414yes—
714C22⋊Dic59C2414yes—
715C22⋊Dic59C2414yes—
716C22⋊Dic59C2414yes—
717C22⋊Dic59C2414yes—
718C22⋊Dic59C2414yes—
719C22⋊Dic59C2414yes—
720C22⋊Dic59C2414yes—
721C22⋊Dic59C2414yes—
722C22⋊Dic59C2414yes—
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—
741C4⋊Dic59C2414yes—
742C4⋊Dic59C2414yes—
743C4⋊Dic59C2414yes—
744C4⋊Dic59C2414yes—
745C4⋊Dic59C2414yes—
746C4⋊Dic59C2414yes—
747C4⋊Dic59C2414yes—
748C4⋊Dic59C2414yes—
749C4⋊Dic59C2414yes—
750C4⋊Dic59C2414yes—
751C4⋊Dic59C2414yes—
752C4⋊Dic59C2414yes—
753Dic59⋊C4C2414yes—
754Dic59⋊C4C2414yes—
755Dic59⋊C4C2414yes—
756Dic59⋊C4C2414yes—
757Dic59⋊C4C2414yes—
758Dic59⋊C4C2414yes—
759Dic59⋊C4C2414yes—
760Dic59⋊C4C2414yes—
761Dic59⋊C4C2414yes—
762Dic59⋊C4C2414yes—
763Dic59⋊C4C2414yes—
764Dic59⋊C4C2414yes—
765Dic59⋊C4C2414yes—
766Dic59⋊C4C2414yes—
767Dic59⋊C4C2414yes—
768Dic59⋊C4C2414yes—
769Dic59⋊C4C2414yes—
770Dic59⋊C4C2414yes—
771Dic59⋊C4C2414yes—
772Dic59⋊C4C2414yes—
773Dic59⋊C4C2414yes—
774Dic59⋊C4C2414yes—
775Dic59⋊C4C2414yes—
776Dic59⋊C4C2414yes—
777Dic59⋊C4C2414yes—
778Dic59⋊C4C2414yes—
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—28no—
796C23×C59—22no—
797C23×C59—22no—
798C23×C59—22no—
799C23×C59—22no—
800C23×C59—28no—
801C23×C59—22no—
802C23×C59—44no—
803C23×C59—416no—
804C23×C59C2×#4114yes—
805C23×C592−1+414yes—
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—28no—
819C22×D59—22no—
820C22×D59—28no—
821C22×D59—44no—
822C22×D59—416no—
823C22×D59C2×#4114yes—
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—28no—
835C2×C4×C59—22no—
836C2×C4×C59—22no—
837C2×C4×C59—22no—
838C2×C4×C59—22no—
839C2×C4×C59—22no—
840C2×C4×C59—28no—
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×C59C2512yes—
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—
858C22⋊D59—28no—
859C22⋊D59—28no—
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—22no—
880C2×Dic59—28no—
881C2×Dic59—28no—
882C2×Dic59—28no—
883C2×Dic59—28no—
884C2×Dic59—28no—
885C2×Dic59—44no—
886C2×Dic59—44no—
887C2×Dic59—44no—
888C2×Dic59—44no—
889C2×Dic59—44no—
890C2×Dic59C2×#4114yes—
891C2×Dic59H(5,𝔽2)14yes—
892C2×Dic59C2512yes—
893C2×Dic59C2512yes—
894C2×Dic59C2512yes—
895C2×Dic59C2512yes—
896C2×Dic59C2512yes—
897C2×Dic59C2512yes—
898C2×Dic59C2512yes—
899C2×Dic59C2512yes—
900C2×Dic59C2512yes—
901C2×Dic59C2512yes—
902C2×Dic59C2512yes—
903C2×Dic59C2512yes—
904C2×Dic59C2512yes—
905D236—28no—
906D236—44no—
907C4×D59—28no—
908C4×D59—28no—
909C4×D59—28no—
910C4×D59—28no—
911C4×D59—28no—
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—22no—
930C22×C59—22no—
931C22×C59—28no—
932C22×C59—28no—
933C22×C59—22no—
934C22×C59—22no—
935C22×C59—22no—
936C22×C59—22no—
937C22×C59—22no—
938C22×C59—22no—
939C22×C59—416no—
940C22×C59—44no—
941C22×C59—44no—
942C22×C59C22×#4114yes—
943C22×C59C22×#4112yes—
944C22×C59C2×H(5,𝔽2)12yes—
945C22×C59C2×2−1+414yes—
946C22×C59C2×2−1+412yes—
947C22×C59C2611yescharacteristic
948C2×D59—22no—
949C2×D59—22no—
950C2×D59—28no—
951C2×D59—22no—
952C2×D59—22no—
953C2×D59—22no—
954C2×D59—22no—
955C2×D59—22no—
956C2×D59—22no—
957C2×D59—416no—
958C2×D59—44no—
959C2×D59—44no—
960C2×D59C22×#4114yes—
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—
972Dic59—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×#551D5911yescharacteristic, complemented
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×#539—591no—
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—24no—
1019C2×C59—42no—
1020C2×C59—42no—
1021C2×C59#352014yescomplemented
1022C2×C59C23×#4111yescharacteristic
1023C2×C59C22×H(5,𝔽2)11yescharacteristic
1024C2×C59C22×2−1+411yescharacteristic
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#551C2×D59116yescomplemented
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#539—5916no—
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×#125—591no—
1081C2×#125—591no—
1082C2×#124—591no—
1083C2×#124—591no—
1084C2×#124—591no—
1085C2×#124—591no—
1086C2×#124—591no—
1087C2×#124—591no—
1088C2×#124C2×D5911yescharacteristic, complemented
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×#123—591no—
1106C2×#123C2×D5911yescharacteristic
1107C2×#123C2×D5911yescharacteristic, complemented
1108C2×#123C2×D5911yescharacteristic, complemented
1109C2×C22⋊Q8—591no—
1110C2×C22⋊Q8—591no—
1111C2×C22⋊Q8—591no—
1112C2×C22⋊Q8—591no—
1113C2×C22⋊Q8—5916no—
1114C2×C22⋊Q8—591no—
1115C2×C22⋊Q8—591no—
1116C2×C22⋊Q8—591no—
1117C2×C22⋊Q8—591no—
1118C2×C22⋊Q8—591no—
1119C2×C22⋊Q8—591no—
1120C2×C22⋊Q8—591no—
1121C2×C22⋊Q8—591no—
1122C2×C22⋊Q8—591no—
1123C2×C22⋊Q8—591no—
1124C2×C22⋊Q8—591no—
1125C2×C22⋊Q8—591no—
1126C2×C22⋊Q8—591no—
1127C2×C22⋊Q8—591no—
1128C2×C22⋊Q8—591no—
1129C2×C22⋊Q8—591no—
1130C2×C22⋊Q8—591no—
1131C2×C22⋊Q8—591no—
1132C2×C22⋊Q8—591no—
1133C2×C22⋊Q8—5916no—
1134C2×C22⋊Q8—591no—
1135C2×C22⋊Q8—591no—
1136C2×C22⋊Q8—591no—
1137C2×C22⋊Q8—591no—
1138C2×C22⋊Q8C2×D5911yescharacteristic
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×#121—591no—
1149C2×#120—591no—
1150C2×#120—591no—
1151C2×#120—591no—
1152C2×#120C2×D5911yescharacteristic
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—591no—
1172C2×C4×D4—591no—
1173C2×C4×D4—591no—
1174C2×C4×D4—591no—
1175C2×C4×D4—591no—
1176C2×C4×D4—5916no—
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×#117C2×D5911yescharacteristic
1197C2×#117C2×D5911yescharacteristic, complemented
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⋊C4—591no—
1207C22×C22⋊C4—591no—
1208C22×C22⋊C4—591no—
1209C22×C22⋊C4—591no—
1210C22×C22⋊C4—591no—
1211C22×C22⋊C4C2×D5911yescharacteristic
1212C22×C22⋊C4C2×D5911yescharacteristic
1213C22×C42—591no—
1214C59C2×#352011yescharacteristic, complemented, Sylow
1215C25—591no—
1216C25C22×D5911yescharacteristic
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—598no—
1246C22×D4—591no—
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—598no—
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—591no—
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#125—598no—
1306#125—598no—
1307#124—598no—
1308#124—598no—
1309#124—598no—
1310#124—598no—
1311#124—598no—
1312#124—598no—
1313#124C22×D5918yescomplemented
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#123—598no—
1329#123C22×D5918yes—
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⋊Q8—598no—
1359C22⋊Q8C22×D5918yes—
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#121—598no—
1370#120—598no—
1371#120—598no—
1372#120—598no—
1373#120C22×D5918yes—
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#117C22×D5918yes—
1415#117C22×D5918yescomplemented
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—598no—
1429C2×C4⋊C4—591no—
1430C2×C4⋊C4—591no—
1431C2×C4⋊C4—591no—
1432C2×C4⋊C4—591no—
1433C2×C4⋊C4—591no—
1434C2×C4⋊C4—591no—
1435C2×C4⋊C4—591no—
1436C2×C4⋊C4—591no—
1437C2×C4⋊C4—591no—
1438C2×C4⋊C4—598no—
1439C2×C4⋊C4—598no—
1440C2×C4⋊C4—598no—
1441C2×C4⋊C4—591no—
1442C2×C4⋊C4—591no—
1443C2×C4⋊C4—591no—
1444C2×C4⋊C4—598no—
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—598no—
1460C2×C4⋊C4—598no—
1461C2×C4⋊C4—598no—
1462C2×C4⋊C4—598no—
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×D5911yescharacteristic
1471C2×C22⋊C4—591no—
1472C2×C22⋊C4—591no—
1473C2×C22⋊C4—591no—
1474C2×C22⋊C4—591no—
1475C2×C22⋊C4—591no—
1476C2×C22⋊C4—598no—
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—598no—
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—598no—
1502C2×C22⋊C4—598no—
1503C2×C22⋊C4C22×D5911yescharacteristic
1504C2×C22⋊C4C22×D5911yescharacteristic
1505C2×C22⋊C4C22×D5911yescharacteristic
1506C2×C22⋊C4C22×D5911yescharacteristic
1507C2×C22⋊C4C22×D5911yescharacteristic
1508C2×C22⋊C4C22×D5911yescharacteristic
1509C2×C22⋊C4C22×D5911yescharacteristic
1510C2×C22⋊C4C22×D5918yes—
1511C2×C22⋊C4C22×D5911yescharacteristic
1512C2×C22⋊C4C22×D5911yescharacteristic
1513C2×C22⋊C4C22×D5918yes—
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—598no—
1531C2×C42C22×D5911yescharacteristic
1532C2×C42C22×D5911yescharacteristic
1533C2×C42C22×D5911yescharacteristic
1534C24—24no—
1535C24—24no—
1536C24—42no—
1537C24—591no—
1538C24—591no—
1539C24—591no—
1540C24—594no—
1541C24—1184no—
1542C24—1184no—
1543C24—2362no—
1544C24C23×D5911yescharacteristic
1545C24C23×D5911yescharacteristic
1546C24C23×D5914yes—
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—11832no—
1593C2×D4—1184no—
1594C2×D4—1184no—
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—24no—
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—594no—
1616C22×C4—594no—
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—591no—
1626C22×C4—591no—
1627C22×C4—591no—
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—594no—
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—23616no—
1662C22×C4—23616no—
1663C22×C4—2362no—
1664C22×C4—2362no—
1665C22×C4—2362no—
1666C22×C4—2362no—
1667C22×C4—2362no—
1668C22×C4C23×D5914yes—
1669C22×C4C23×D5914yes—
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×D5911yescharacteristic
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⋊C4—594no—
1717C4⋊C4—594no—
1718C4⋊C4—594no—
1719C4⋊C4—594no—
1720C4⋊C4—594no—
1721C4⋊C4—594no—
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⋊C4C23×D5914yes—
1759C22⋊C4C23×D5914yes—
1760C22⋊C4C23×D5914yes—
1761C22⋊C4C23×D5914yes—
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—
1783C42C23×D5914yes—
1784C42C23×D5914yes—
1785C42C23×D5914yes—
1786C23—22no—
1787C23—22no—
1788C23—22no—
1789C23—22no—
1790C23—22no—
1791C23—28no—
1792C23—22no—
1793C23—22no—
1794C23—22no—
1795C23—22no—
1796C23—28no—
1797C23—22no—
1798C23—44no—
1799C23—416no—
1800C23—594no—
1801C23—592no—
1802C23—592no—
1803C23—592no—
1804C23—1188no—
1805C23—1182no—
1806C23—1182no—
1807C23—1182no—
1808C23—1182no—
1809C23—1182no—
1810C23—1182no—
1811C23—1182no—
1812C23—1188no—
1813C23—1182no—
1814C23—2364no—
1815C23—23616no—
1816C23#41×D5914yes—
1817C23#1427377414yes—
1818C23C24×D5912yes—
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—28no—
1857C2×C4—22no—
1858C2×C4—22no—
1859C2×C4—22no—
1860C2×C4—44no—
1861C2×C4—44no—
1862C2×C4—44no—
1863C2×C4—594no—
1864C2×C4—594no—
1865C2×C4—592no—
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—1182no—
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×C4—2364no—
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—22no—
1925C22—22no—
1926C22—28no—
1927C22—28no—
1928C22—22no—
1929C22—22no—
1930C22—22no—
1931C22—22no—
1932C22—22no—
1933C22—22no—
1934C22—416no—
1935C22—44no—
1936C22—44no—
1937C22—594no—
1938C22—1182no—
1939C22—1182no—
1940C22—1188no—
1941C22—1182no—
1942C22—1182no—
1943C22—1182no—
1944C22—1182no—
1945C22—1182no—
1946C22—1182no—
1947C22—23616no—
1948C22—2364no—
1949C22—2364no—
1950C22C2×#41×D5914yes—
1951C22C2×#41×D5912yes—
1952C22H(5,𝔽2)×D5912yes—
1953C22C2×#1427377414yes—
1954C22C2×#1427377412yes—
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—594no—
1968C4—594no—
1969C4—1182no—
1970C4—1182no—
1971C4—1182no—
1972C4—1182no—
1973C4—1182no—
1974C4—1182no—
1975C4—1182no—
1976C4—1182no—
1977C4—1182no—
1978C4—1182no—
1979C4—1182no—
1980C2—24no—
1981C2—24no—
1982C2—42no—
1983C2—42no—
1984C2—1184no—
1985C2—2362no—
1986C2—2362no—
1987C2#2143813414yesdirect product factor
1988C2C22×#41×D5911yescharacteristic
1989C2C2×H(5,𝔽2)×D5911yescharacteristic
1990C2C22×#1427377411yescharacteristic
subgroupG/H
centerC23C24×D59
commutator, cosocleC22×C59C26
FrattiniC22C25×D59
FittingC2×C59×#551C2
socleC23×C59C25
hypercenterC2×#551D59
hypocenterC59C2×#3520
LCSG ▷ C22×C59 ▷ C59
UCSC1 ◁ C23 ◁ C2×#551

Complements

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

NH ≅ G/Ntype
1. #21438134C2direct (N × H)
2. C2×#16838119C2semidirect
3. C2×#16838111C2semidirect
4. C2×#16838106C2semidirect
5. C2×#16838088C2semidirect
6. C2×#16838085C2semidirect
7. C2×#16838078C2semidirect
8. C2×#16838076C2semidirect
9. C2×#16838075C2semidirect
10. C2×#16838065C2semidirect
11. C2×#16838061C2semidirect
12. C2×#16838060C2semidirect
13. C2×#16838050C2semidirect
14. C2×#16838050C2semidirect
15. C2×#16838042C2semidirect
16. C2×#16838039C2semidirect
17. C2×#16838018C2semidirect
18. C2×#16838016C2semidirect
19. C2×#16838001C2semidirect
20. C2×#16837996C2semidirect
21. C2×#16837995C2semidirect
22. C2×#16837993C2semidirect
23. C2×#16837955C2semidirect
24. C2×#16837929C2semidirect
25. C2×#16837911C2semidirect
26. C2×#16837908C2semidirect
27. C22×#14273704C2semidirect
28. C2×C22⋊Q8×D59C2semidirect
29. C2×#16837882C2semidirect
30. C2×#16837881C2semidirect
31. C22×(C22⋊D59)⋊C4C2semidirect
32. C2×C59×#551C2semidirect
34. C22×#11745685C22semidirect
36. C22×#11745687C22semidirect
37. C23×Dic118C22semidirect
38. C22×Q8×D59C22semidirect
42. #16838119C22semidirect
43. #16838111C22semidirect
44. #16838106C22semidirect
45. #16838088C22semidirect
46. #16838085C22semidirect
47. #16838078C22semidirect
48. #16838076C22semidirect
49. #16838075C22semidirect
50. #16838065C22semidirect
51. #16838061C22semidirect
52. #16838060C22semidirect
53. #16838050C22semidirect
54. #16838050C22semidirect
55. #16838042C22semidirect
56. #16838039C22semidirect
57. #16838018C22semidirect
58. #16838016C22semidirect
59. #16838001C22semidirect
60. #16837996C22semidirect
61. #16837995C22semidirect
62. #16837993C22semidirect
63. #16837955C22semidirect
64. C2×#14273726C22semidirect
65. C2×#14273726C22semidirect
66. C2×#14273726C22semidirect
67. C2×#14273725C22semidirect
68. #16837929C22semidirect
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×#14273718C22semidirect
80. C2×#14273718C22semidirect
81. C2×#14273717C22semidirect
82. C2×#14273717C22semidirect
83. C2×#14273717C22semidirect
84. C2×#14273715C22semidirect
87. C2×#14273713C22semidirect
88. C2×#14273713C22semidirect
89. C2×#14273713C22semidirect
90. #16837911C22semidirect
91. #16837908C22semidirect
92. C2×#14273712C22semidirect
93. C2×#14273712C22semidirect
94. C2×#14273712C22semidirect
96. C2×#14273711C22semidirect
97. C2×#14273711C22semidirect
98. C2×#14273711C22semidirect
103. C2×#14273709C22semidirect
104. C2×#14273709C22semidirect
105. C2×#14273709C22semidirect
106. C2×#14273708C22semidirect
107. C2×#14273707C22semidirect
108. C2×#14273707C22semidirect
110. C2×#14273706C22semidirect
111. C2×#14273705C22semidirect
112. C2×#14273705C22semidirect
113. C2×#14273705C22semidirect
114. C2×#14273705C22semidirect
115. C2×#14273705C22semidirect
116. C2×#14273705C22semidirect
124. C2×#14273704C22semidirect
125. C2×#14273704C22semidirect
126. C2×#14273704C22semidirect
127. C2×#14273704C22semidirect
128. C2×#14273704C22semidirect
129. C2×#14273704C22semidirect
130. C2×#14273704C22semidirect
131. C2×#14273704C22semidirect
132. C2×#14273704C22semidirect
133. C2×#14273703C22semidirect
134. C2×#14273703C22semidirect
135. C22⋊Q8×D59C22semidirect
139. C2×#14273700C22semidirect
143. C2×#14273699C22semidirect
148. #16837882C22semidirect
149. #16837881C22semidirect
150. C2×C4×Dic118C22semidirect
151. C2×C4×Dic118C22semidirect
152. C2×C4×Dic118C22semidirect
153. C2×C4×Dic118C22semidirect
154. C2×C4×Dic118C22semidirect
155. C2×#14273692C22semidirect
156. C2×#14273692C22semidirect
157. C2×C4×D236C22semidirect
158. C2×C4×D236C22semidirect
161. C2×D4×Dic59C22semidirect
164. C2×C4×C22⋊D59C22semidirect
176. C2×(C22⋊D59)⋊C4C22semidirect
177. C2×(C22⋊D59)⋊C4C22semidirect
178. C2×(C22⋊D59)⋊C4C22semidirect
179. C2×(C22⋊D59)⋊C4C22semidirect
180. C2×(C22⋊D59)⋊C4C22semidirect
182. C2×#14273685C22semidirect
183. C2×#14273685C22semidirect
184. C2×#14273684C22semidirect
185. C2×#14273684C22semidirect
186. C2×#14273683C22semidirect
187. C2×#14273683C22semidirect
188. C2×#14273683C22semidirect
189. C22×C4⋊Dic59C22semidirect
191. C22×Dic59⋊C4C22semidirect
192. C22×Dic59⋊C4C22semidirect
193. C22×Dic59⋊C4C22semidirect
194. C2×C4⋊C4×D59C22semidirect
195. C2×C4⋊C4×D59C22semidirect
196. C2×C4⋊C4×D59C22semidirect
197. C2×C4⋊C4×D59C22semidirect
203. C59×#551C22semidirect
204. C2×#126×C59C22semidirect
205. C2×#126×C59C22semidirect
206. C2×#124×C59C22semidirect
208. C2×#123×C59C22semidirect
209. C2×#123×C59C22semidirect
211. C2×C22⋊Q8×C59C22semidirect
214. C2×C4×D4×C59C22semidirect
216. C2×#117×C59C22semidirect
223. C2×#11745685C23semidirect
227. C2×#11745687C23semidirect
237. C22×Dic118C23semidirect
239. C2×Q8×D59C23semidirect
280. #14273726C23semidirect
281. #14273726C23semidirect
282. #14273726C23semidirect
283. #14273725C23semidirect
284. #14273722C23semidirect
285. #14273722C23semidirect
286. #14273722C23semidirect
287. #14273722C23semidirect
288. #14273721C23semidirect
289. #14273720C23semidirect
290. #14273720C23semidirect
291. #14273720C23semidirect
292. #14273719C23semidirect
293. #14273718C23semidirect
294. #14273718C23semidirect
295. #14273718C23semidirect
296. #14273717C23semidirect
297. #14273717C23semidirect
298. #14273717C23semidirect
299. #14273715C23semidirect
302. #14273713C23semidirect
303. #14273713C23semidirect
304. #14273713C23semidirect
305. #14273712C23semidirect
306. #14273712C23semidirect
307. #14273712C23semidirect
309. #14273711C23semidirect
310. #14273711C23semidirect
311. #14273711C23semidirect
316. #14273709C23semidirect
317. #14273709C23semidirect
318. #14273709C23semidirect
319. #14273708C23semidirect
320. #14273707C23semidirect
321. #14273707C23semidirect
323. #14273706C23semidirect
324. #14273705C23semidirect
325. #14273705C23semidirect
326. #14273705C23semidirect
327. #14273705C23semidirect
328. #14273705C23semidirect
329. #14273705C23semidirect
337. #14273704C23semidirect
338. #14273704C23semidirect
339. #14273704C23semidirect
340. #14273704C23semidirect
341. #14273704C23semidirect
342. #14273704C23semidirect
343. #14273704C23semidirect
344. #14273704C23semidirect
345. #14273703C23semidirect
346. #14273703C23semidirect
350. #14273700C23semidirect
354. #14273699C23semidirect
359. C4×Dic118C23semidirect
360. C4×Dic118C23semidirect
361. C4×Dic118C23semidirect
362. C4×Dic118C23semidirect
363. C4×Dic118C23semidirect
364. #14273692C23semidirect
365. #14273692C23semidirect
366. C4×D236C23semidirect
367. C4×D236C23semidirect
370. D4×Dic59C23semidirect
373. C4×C22⋊D59C23semidirect
385. (C22⋊D59)⋊C4C23semidirect
386. (C22⋊D59)⋊C4C23semidirect
387. (C22⋊D59)⋊C4C23semidirect
388. (C22⋊D59)⋊C4C23semidirect
390. #14273685C23semidirect
391. #14273685C23semidirect
392. #14273684C23semidirect
393. #14273684C23semidirect
394. #14273683C23semidirect
395. #14273683C23semidirect
396. #14273683C23semidirect
409. C2×C4⋊Dic59C23semidirect
437. C2×Dic59⋊C4C23semidirect
438. C2×Dic59⋊C4C23semidirect
439. C2×Dic59⋊C4C23semidirect
440. C4⋊C4×D59C23semidirect
441. C4⋊C4×D59C23semidirect
442. C4⋊C4×D59C23semidirect
443. C4⋊C4×D59C23semidirect
498. #126×C59C23semidirect
499. #126×C59C23semidirect
500. #124×C59C23semidirect
502. #123×C59C23semidirect
503. #123×C59C23semidirect
505. C22⋊Q8×C59C23semidirect
508. C4×D4×C59C23semidirect
510. #117×C59C23semidirect
592. C2×C22⋊D59#41semidirect
867. C22⋊D59C2×#41semidirect
994. C2×#551D59semidirect
1021. C2×C59#3520semidirect
1045. #551C2×D59semidirect
1073. C2×#126C2×D59semidirect
1074. C2×#126C2×D59semidirect
1088. C2×#124C2×D59semidirect
1107. C2×#123C2×D59semidirect
1108. C2×#123C2×D59semidirect
1139. C2×C22⋊Q8C2×D59semidirect
1187. C2×C4×D4C2×D59semidirect
1197. C2×#117C2×D59semidirect
1214. C59C2×#3520semidirect
1298. #126C22×D59semidirect
1299. #126C22×D59semidirect
1313. #124C22×D59semidirect
1330. #123C22×D59semidirect
1331. #123C22×D59semidirect
1360. C22⋊Q8C22×D59semidirect
1405. C4×D4C22×D59semidirect
1415. #117C22×D59semidirect
1987. C2#21438134direct (N × H)

Maximal subgroups

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

subgroupindex
#214381342
C2×#168381192
C2×#168381112
C2×#168381062
C2×#168380882
C2×#168380852
C2×#168380782
C2×#168380762
C2×#168380752
C2×#168380652
C2×#168380612
C2×#168380602
C2×#168380502
C2×#168380422
C2×#168380392
C2×#168380182
C2×#168380162
C2×#168380012
C2×#168379962
C2×#168379952
C2×#168379932
C2×#168379552
C2×#168379292
C2×#168379112
C2×#168379082
C22×#142737042
C2×C22⋊Q8×D592
C2×#168378822
C2×#168378812
C22×(C22⋊D59)⋊C42
C2×C59×#5512
C2×#352059