Finite Group Databasebeta

← C2×#21437479 #29495536

Subgroups — C2×#21437479 #29495536

Order 15104.

7302 conjugacy classes of subgroups.

The subgroup lattice has 1932 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437479C2132yesmaximal, direct product factor
2C2×#16838022C211yesmaximal, characteristic, complemented
3C2×#16838020C211yesmaximal, characteristic, complemented
4C2×#16838018C211yesmaximal, characteristic, complemented
5C2×#16838016C211yesmaximal, characteristic, complemented
6C2×#16838011C211yesmaximal, characteristic, complemented
7C2×#16838009C211yesmaximal, characteristic, complemented
8C2×#16838004C211yesmaximal, characteristic, complemented
9C2×#16838002C211yesmaximal, characteristic, complemented
10C2×#16838000C211yesmaximal, characteristic, complemented
11C2×#16837998C211yesmaximal, characteristic, complemented
12C2×#16837995C211yesmaximal, characteristic, complemented
13C2×#16837993C211yesmaximal, characteristic, complemented
14C2×#16837991C211yesmaximal, characteristic, complemented
15C2×#16837988C211yesmaximal, characteristic, complemented
16C2×#16837986C211yesmaximal, characteristic, complemented
17C2×#16837984C211yesmaximal, characteristic, complemented
18C2×#16837956C211yesmaximal, characteristic, complemented
19C2×#16837949C211yesmaximal, characteristic, complemented
20C2×#16837939C211yesmaximal, characteristic, complemented
21C2×#16837936C211yesmaximal, characteristic, complemented
22C2×#16837934C211yesmaximal, characteristic, complemented
23C2×#16837932C211yesmaximal, characteristic, complemented
24C2×#16837932C211yesmaximal, characteristic, complemented
25C2×#16837930C211yesmaximal, characteristic, complemented
26C2×#16837930C211yesmaximal, characteristic, complemented
27C2×#16837911C211yesmaximal, characteristic, complemented
28C2×#16837911C211yesmaximal, characteristic, complemented
29C2×C4×#11745685C211yesmaximal, characteristic, complemented
30C2×#16837870C211yesmaximal, characteristic, complemented
31C2×#117×D59C211yesmaximal, characteristic, complemented
32C2×C59×#529C211yesmaximal, characteristic, complemented
33C22×#11745685C2211yescharacteristic
34C22×#11745685C2211yescharacteristic
35C23×C4×D59C2211yescharacteristic
36#16838022C22116yescomplemented
37#16838020C22116yescomplemented
38#16838018C22116yescomplemented
39#16838016C22116yescomplemented
40#16838011C22116yescomplemented
41#16838009C22116yescomplemented
42#16838004C22116yescomplemented
43#16838002C22116yescomplemented
44#16838000C22116yescomplemented
45#16837998C22116yescomplemented
46#16837995C22116yescomplemented
47#16837993C22116yescomplemented
48#16837991C22116yescomplemented
49#16837988C22116yescomplemented
50#16837986C22116yescomplemented
51#16837984C22116yescomplemented
52#16837956C22116yescomplemented
53#16837949C22116yescomplemented
54C2×#14273726C2211yescharacteristic, complemented
55C2×#14273726C2211yescharacteristic, complemented
56C2×#14273725C2211yescharacteristic, complemented
57C2×#14273723C2211yescharacteristic, complemented
58#16837939C22116yescomplemented
59#16837936C22116yescomplemented
60#16837934C22116yescomplemented
61#16837932C22116yescomplemented
62#16837932C22116yescomplemented
63#16837930C22116yescomplemented
64#16837930C22116yescomplemented
65C2×#14273722C2211yescharacteristic
66C2×#14273722C2211yescharacteristic
67C2×#14273722C2211yescharacteristic
68C2×#14273722C2211yescharacteristic, complemented
69C2×#14273722C2211yescharacteristic, complemented
70C2×#14273722C2211yescharacteristic, complemented
71C2×#14273721C2211yescharacteristic
72C2×#14273721C2211yescharacteristic, complemented
73C2×#14273720C2211yescharacteristic
74C2×#14273720C2211yescharacteristic
75C2×#14273720C2211yescharacteristic
76C2×#14273720C2211yescharacteristic, complemented
77C2×#14273720C2211yescharacteristic, complemented
78C2×#14273720C2211yescharacteristic, complemented
79C2×#14273719C2211yescharacteristic, complemented
80C2×#14273718C2211yescharacteristic, complemented
81C2×#14273718C2211yescharacteristic, complemented
82C2×#14273717C2211yescharacteristic, complemented
83C2×#14273717C2211yescharacteristic, complemented
84C2×#14273717C2211yescharacteristic, complemented
85C2×#14273717C2211yescharacteristic, complemented
86C2×#14273717C2211yescharacteristic, complemented
87C2×#14273717C2211yescharacteristic, complemented
88C2×#14273716C2211yescharacteristic
89C2×#14273715C2211yescharacteristic
90C2×#14273714C2211yescharacteristic
91C2×#14273713C2211yescharacteristic
92C2×#14273713C2211yescharacteristic
93C2×#14273713C2211yescharacteristic
94C2×#14273713C2211yescharacteristic
95C2×#14273713C2211yescharacteristic, complemented
96C2×#14273713C2211yescharacteristic, complemented
97#16837911C22116yescomplemented
98#16837911C22116yescomplemented
99C2×#14273712C2211yescharacteristic
100C2×#14273712C2211yescharacteristic
101C2×#14273712C2211yescharacteristic
102C2×#14273712C2211yescharacteristic
103C2×#14273712C2211yescharacteristic, complemented
104C2×#14273712C2211yescharacteristic, complemented
105C2×#14273711C2211yescharacteristic
106C2×#14273711C2211yescharacteristic, complemented
107C2×#14273710C2211yescharacteristic
108C2×#14273710C2211yescharacteristic, complemented
109C2×#14273709C2211yescharacteristic
110C2×#14273709C2211yescharacteristic
111C2×#14273709C2211yescharacteristic
112C2×#14273709C2211yescharacteristic
113C2×#14273709C2211yescharacteristic, complemented
114C2×#14273709C2211yescharacteristic, complemented
115C2×#14273708C2211yescharacteristic
116C2×#14273708C2211yescharacteristic, complemented
117C2×#14273707C2211yescharacteristic
118C2×#14273707C2211yescharacteristic, complemented
119C2×#14273706C2211yescharacteristic, complemented
120C2×#14273705C2211yescharacteristic
121C2×#14273705C2211yescharacteristic
122C2×#14273705C2211yescharacteristic
123C2×#14273705C2211yescharacteristic
124C2×#14273705C2211yescharacteristic, complemented
125C2×#14273705C2211yescharacteristic, complemented
126C2×#14273704C2211yescharacteristic
127C2×#14273704C2211yescharacteristic
128C2×#14273704C2211yescharacteristic, complemented
129C2×#14273704C2211yescharacteristic, complemented
130C2×#14273703C2211yescharacteristic
131C2×#14273703C2211yescharacteristic, complemented
132C2×#14273702C2211yescharacteristic
133C2×#14273702C2211yescharacteristic
134C2×#14273701C2211yescharacteristic
135C2×#14273700C2211yescharacteristic
136C2×#14273700C2211yescharacteristic
137C2×#14273700C2211yescharacteristic
138C2×#14273700C2211yescharacteristic
139C2×#14273700C2211yescharacteristic
140C2×#14273700C2211yescharacteristic
141C2×#14273699C2211yescharacteristic
142C2×#14273699C2211yescharacteristic
143C2×#14273699C2211yescharacteristic
144C2×#14273699C2211yescharacteristic
145C2×#14273698C2211yescharacteristic
146C2×#14273698C2211yescharacteristic
147C2×#14273697C2211yescharacteristic
148C2×#14273697C2211yescharacteristic
149C2×#14273695C2211yescharacteristic
150C2×#14273695C2211yescharacteristic
151C4×#11745685C22116yescomplemented
152#16837870C22116yescomplemented
153C2×C4×Dic118C2211yescharacteristic, complemented
154C2×C4×Dic118C2211yescharacteristic, complemented
155C2×C4×Dic118C2211yescharacteristic, complemented
156C2×C4×Dic118C2211yescharacteristic, complemented
157C2×C4×Dic118C2211yescharacteristic, complemented
158C2×#14273692C2211yescharacteristic, complemented
159C2×#14273692C2211yescharacteristic, complemented
160C2×C4×D236C2211yescharacteristic
161C2×C4×D236C2211yescharacteristic
162C2×C4×D236C2211yescharacteristic
163C2×C4×D236C2211yescharacteristic
164C2×C4×D236C2211yescharacteristic, complemented
165C2×#14273689C2211yescharacteristic
166C2×#14273689C2211yescharacteristic
167C2×C4×C22⋊D59C2211yescharacteristic
168C2×C4×C22⋊D59C2211yescharacteristic
169C2×C4×C22⋊D59C2211yescharacteristic
170C2×C4×C22⋊D59C2211yescharacteristic
171C2×C4×C22⋊D59C2211yescharacteristic
172C2×C4×C22⋊D59C2211yescharacteristic
173C2×C4×C22⋊D59C2211yescharacteristic, complemented
174C2×C4×C22⋊D59C2211yescharacteristic, complemented
175C2×C4×C22⋊D59C2211yescharacteristic, complemented
176C2×C4×C22⋊D59C2211yescharacteristic, complemented
177C2×(C22⋊D59)⋊C4C2211yescharacteristic
178C2×(C22⋊D59)⋊C4C2211yescharacteristic
179C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
180C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
181C2×#14273686C2211yescharacteristic
182C2×#14273686C2211yescharacteristic, complemented
183C2×#14273685C2211yescharacteristic
184C2×#14273685C2211yescharacteristic
185C2×#14273684C2211yescharacteristic
186C2×#14273684C2211yescharacteristic
187C2×#14273684C2211yescharacteristic
188C2×#14273684C2211yescharacteristic
189C2×#14273684C2211yescharacteristic, complemented
190C2×#14273684C2211yescharacteristic, complemented
191C2×#14273683C2211yescharacteristic
192C2×#14273683C2211yescharacteristic
193#117×D59C22116yescomplemented
194C2×C4⋊C4×D59C2211yescharacteristic
195C2×C4⋊C4×D59C2211yescharacteristic
196C2×C22⋊C4×D59C2211yescharacteristic
197C2×C22⋊C4×D59C2211yescharacteristic
198C22×C4×Dic59C2211yescharacteristic, complemented
199C2×C42×D59C2211yescharacteristic
200C2×C42×D59C2211yescharacteristic
201C2×C42×D59C2211yescharacteristic, complemented
202C2×C42×D59C2211yescharacteristic, complemented
203C59×#529C22116yescomplemented
204C2×#126×C59C2211yescharacteristic
205C2×#126×C59C2211yescharacteristic, complemented
206C2×#125×C59C2211yescharacteristic, complemented
207C2×#124×C59C2211yescharacteristic
208C2×#123×C59C2211yescharacteristic
209C2×#123×C59C2211yescharacteristic, complemented
210C2×C22⋊Q8×C59C2211yescharacteristic, complemented
211C2×#121×C59C2211yescharacteristic
212C2×C4×Q8×C59C2211yescharacteristic, complemented
213C2×C4×D4×C59C2211yescharacteristic
214C2×C4×D4×C59C2211yescharacteristic
215C2×C4×D4×C59C2211yescharacteristic, complemented
216C2×#117×C59C2211yescharacteristic
217C2×#117×C59C2211yescharacteristic, complemented
218C22×C42×C59C2211yescharacteristic, complemented
219C24×D59C2311yescharacteristic
220C2×#11745685—28no—
221C2×#11745685—28no—
222C2×#11745685C2318yes—
223C2×#11745685C2318yes—
224C22×Dic118C2311yescharacteristic
225C22×Dic118C2311yescharacteristic
226C22×Dic118C2311yescharacteristic
227C22×Dic118C2311yescharacteristic
228C22×Dic118C2311yescharacteristic
229C22×D236C2311yescharacteristic
230C22×D236C2311yescharacteristic
231C22×D236C2311yescharacteristic
232C22×D236C2311yescharacteristic
233C22×D236C2311yescharacteristic
234C22×C22⋊D59C2311yescharacteristic
235C22×C22⋊D59C2311yescharacteristic
236C22×C22⋊D59C2311yescharacteristic
237C22×C22⋊D59C2311yescharacteristic
238C22×C22⋊D59C2311yescharacteristic
239C22×C22⋊D59C2311yescharacteristic
240C22×C22⋊D59C2311yescharacteristic
241C22×C22⋊D59C2311yescharacteristic
242C22×C22⋊D59C2311yescharacteristic
243C22×C22⋊D59C2311yescharacteristic
244C23×Dic59C2311yescharacteristic
245C23×Dic59C2311yescharacteristic
246C23×Dic59C2311yescharacteristic
247C22×C4×D59—28no—
248C22×C4×D59C2311yescharacteristic
249C22×C4×D59C2311yescharacteristic
250C22×C4×D59C2318yes—
251C22×C4×D59C2311yescharacteristic
252C22×C4×D59C2311yescharacteristic
253C22×C4×D59C2311yescharacteristic
254C22×C4×D59C2311yescharacteristic
255C22×C4×D59C2311yescharacteristic
256C22×C4×D59C2311yescharacteristic
257C22×C4×D59C2311yescharacteristic
258C22×C4×D59C2311yescharacteristic
259C22×C4×D59C2311yescharacteristic
260C22×C4×D59C2311yescharacteristic
261C22×C4×D59C2311yescharacteristic
262C22×C4×D59C2311yescharacteristic
263#14273726C2318yescomplemented
264#14273726C2318yescomplemented
265#14273725C2318yescomplemented
266#14273723C2318yescomplemented
267#14273722C2318yes—
268#14273722C2318yes—
269#14273722C2318yes—
270#14273722C2318yescomplemented
271#14273722C2318yescomplemented
272#14273722C2318yescomplemented
273#14273721C2318yes—
274#14273721C2318yescomplemented
275#14273720C2318yes—
276#14273720C2318yes—
277#14273720C2318yes—
278#14273720C2318yescomplemented
279#14273720C2318yescomplemented
280#14273720C2318yescomplemented
281#14273719C2318yescomplemented
282#14273718C2318yescomplemented
283#14273718C2318yescomplemented
284#14273717C2318yescomplemented
285#14273717C2318yescomplemented
286#14273717C2318yescomplemented
287#14273717C2318yescomplemented
288#14273717C2318yescomplemented
289#14273717C2318yescomplemented
290#14273716C2318yes—
291#14273715C2318yes—
292#14273714C2318yes—
293#14273713C2318yes—
294#14273713C2318yes—
295#14273713C2318yes—
296#14273713C2318yes—
297#14273713C2318yescomplemented
298#14273713C2318yescomplemented
299#14273712C2318yes—
300#14273712C2318yes—
301#14273712C2318yes—
302#14273712C2318yes—
303#14273712C2318yescomplemented
304#14273712C2318yescomplemented
305#14273711C2318yes—
306#14273711C2318yescomplemented
307#14273710C2318yes—
308#14273710C2318yescomplemented
309#14273709C2318yes—
310#14273709C2318yes—
311#14273709C2318yes—
312#14273709C2318yes—
313#14273709C2318yescomplemented
314#14273709C2318yescomplemented
315#14273708C2318yes—
316#14273708C2318yescomplemented
317#14273707C2318yes—
318#14273707C2318yescomplemented
319#14273706C2318yescomplemented
320#14273705C2318yes—
321#14273705C2318yes—
322#14273705C2318yes—
323#14273705C2318yes—
324#14273705C2318yescomplemented
325#14273705C2318yescomplemented
326#14273704C2318yes—
327#14273704C2318yes—
328#14273704C2318yescomplemented
329#14273704C2318yescomplemented
330#14273703C2318yes—
331#14273703C2318yescomplemented
332#14273702C2318yes—
333#14273702C2318yes—
334#14273701C2318yes—
335#14273700C2318yes—
336#14273700C2318yes—
337#14273700C2318yes—
338#14273700C2318yes—
339#14273700C2318yes—
340#14273700C2318yes—
341#14273699C2318yes—
342#14273699C2318yes—
343#14273699C2318yes—
344#14273699C2318yes—
345#14273698C2318yes—
346#14273698C2318yes—
347#14273697C2318yes—
348#14273697C2318yes—
349#14273695C2318yes—
350#14273695C2318yes—
351C4×Dic118C2318yescomplemented
352C4×Dic118C2318yescomplemented
353C4×Dic118C2318yescomplemented
354C4×Dic118C2318yescomplemented
355C4×Dic118C2318yescomplemented
356#14273692C2318yescomplemented
357#14273692C2318yescomplemented
358C4×D236C2318yes—
359C4×D236C2318yes—
360C4×D236C2318yes—
361C4×D236C2318yes—
362C4×D236C2318yescomplemented
363#14273689C2318yes—
364#14273689C2318yes—
365C4×C22⋊D59C2318yes—
366C4×C22⋊D59C2318yes—
367C4×C22⋊D59C2318yes—
368C4×C22⋊D59C2318yes—
369C4×C22⋊D59C2318yes—
370C4×C22⋊D59C2318yes—
371C4×C22⋊D59C2318yescomplemented
372C4×C22⋊D59C2318yescomplemented
373C4×C22⋊D59C2318yescomplemented
374C4×C22⋊D59C2318yescomplemented
375(C22⋊D59)⋊C4C2318yes—
376(C22⋊D59)⋊C4C2318yes—
377(C22⋊D59)⋊C4C2318yescomplemented
378(C22⋊D59)⋊C4C2318yescomplemented
379#14273686C2318yes—
380#14273686C2318yescomplemented
381#14273685C2318yes—
382#14273685C2318yes—
383#14273684C2318yes—
384#14273684C2318yes—
385#14273684C2318yes—
386#14273684C2318yes—
387#14273684C2318yescomplemented
388#14273684C2318yescomplemented
389#14273683C2318yes—
390#14273683C2318yes—
391C2×C4⋊Dic59C2311yescharacteristic
392C2×C4⋊Dic59C2311yescharacteristic
393C2×C4⋊Dic59C2311yescharacteristic
394C2×C4⋊Dic59C2311yescharacteristic
395C2×C4⋊Dic59C2311yescharacteristic
396C2×C4⋊Dic59C2311yescharacteristic
397C2×C4⋊Dic59C2311yescharacteristic
398C2×C4⋊Dic59C2311yescharacteristic
399C2×C4⋊Dic59C2311yescharacteristic
400C2×C4⋊Dic59C2311yescharacteristic
401C2×Dic59⋊C4C2311yescharacteristic
402C2×Dic59⋊C4C2311yescharacteristic
403C2×Dic59⋊C4C2311yescharacteristic
404C2×Dic59⋊C4C2311yescharacteristic
405C2×Dic59⋊C4C2311yescharacteristic
406C2×Dic59⋊C4C2311yescharacteristic
407C2×Dic59⋊C4C2311yescharacteristic
408C2×Dic59⋊C4C2311yescharacteristic
409C2×Dic59⋊C4C2311yescharacteristic
410C2×Dic59⋊C4C2311yescharacteristic
411C2×Dic59⋊C4C2311yescharacteristic
412C2×Dic59⋊C4C2311yescharacteristic
413C2×Dic59⋊C4C2311yescharacteristic
414C2×Dic59⋊C4C2311yescharacteristic
415C2×Dic59⋊C4C2311yescharacteristic
416C2×Dic59⋊C4C2311yescharacteristic
417C2×Dic59⋊C4C2311yescharacteristic
418C2×Dic59⋊C4C2311yescharacteristic
419C2×Dic59⋊C4C2311yescharacteristic
420C2×Dic59⋊C4C2311yescharacteristic
421C2×Dic59⋊C4C2311yescharacteristic
422C2×Dic59⋊C4C2311yescharacteristic
423C2×Dic59⋊C4C2311yescharacteristic
424C2×Dic59⋊C4C2311yescharacteristic
425C4⋊C4×D59C2318yes—
426C4⋊C4×D59C2318yes—
427C2×C22⋊Dic59C2311yescharacteristic
428C2×C22⋊Dic59C2311yescharacteristic
429C2×C22⋊Dic59C2311yescharacteristic
430C2×C22⋊Dic59C2311yescharacteristic
431C2×C22⋊Dic59C2311yescharacteristic
432C2×C22⋊Dic59C2311yescharacteristic
433C2×C22⋊Dic59C2311yescharacteristic
434C2×C22⋊Dic59C2311yescharacteristic
435C2×C22⋊Dic59C2311yescharacteristic
436C2×C22⋊Dic59C2311yescharacteristic
437C2×(C2×D59)⋊C4C2311yescharacteristic
438C2×(C2×D59)⋊C4C2311yescharacteristic
439C2×(C2×D59)⋊C4C2311yescharacteristic
440C2×(C2×D59)⋊C4C2311yescharacteristic
441C2×(C2×D59)⋊C4C2311yescharacteristic
442C2×(C2×D59)⋊C4C2311yescharacteristic
443C2×(C2×D59)⋊C4C2311yescharacteristic
444C2×(C2×D59)⋊C4C2311yescharacteristic
445C2×(C2×D59)⋊C4C2311yescharacteristic
446C2×(C2×D59)⋊C4C2311yescharacteristic
447C2×(C2×D59)⋊C4C2311yescharacteristic
448C2×(C2×D59)⋊C4C2311yescharacteristic
449C2×(C2×D59)⋊C4C2311yescharacteristic
450C2×(C2×D59)⋊C4C2311yescharacteristic
451C2×(C2×D59)⋊C4C2311yescharacteristic
452C2×(C2×D59)⋊C4C2311yescharacteristic
453C2×(C2×D59)⋊C4C2311yescharacteristic
454C2×(C2×D59)⋊C4C2311yescharacteristic
455C2×(C2×D59)⋊C4C2311yescharacteristic
456C2×(C2×D59)⋊C4C2311yescharacteristic
457C2×(C2×D59)⋊C4C2311yescharacteristic
458C2×(C2×D59)⋊C4C2311yescharacteristic
459C2×(C2×D59)⋊C4C2311yescharacteristic
460C2×(C2×D59)⋊C4C2311yescharacteristic
461C22⋊C4×D59C2318yes—
462C22⋊C4×D59C2318yes—
463C2×C4×Dic59C2311yescharacteristic
464C2×C4×Dic59C2311yescharacteristic
465C2×C4×Dic59C2311yescharacteristic
466C2×C4×Dic59C2311yescharacteristic
467C2×C4×Dic59C2311yescharacteristic
468C2×C4×Dic59C2311yescharacteristic
469C2×C4×Dic59C2311yescharacteristic
470C2×C4×Dic59C2311yescharacteristic
471C2×C4×Dic59C2311yescharacteristic
472C2×C4×Dic59C2311yescharacteristic
473C2×C4×Dic59C2311yescharacteristic
474C2×C4×Dic59C2311yescharacteristic
475C2×C4×Dic59C2311yescharacteristic
476C2×C4×Dic59C2311yescharacteristic
477C2×C4×Dic59C2318yescomplemented
478C42×D59C2318yes—
479C42×D59C2318yes—
480C42×D59C2318yescomplemented
481C42×D59C2318yescomplemented
482C22×Q8×C59C2311yescharacteristic
483C22×D4×C59C2311yescharacteristic
484C22×D4×C59C2311yescharacteristic
485C22×D4×C59C2311yescharacteristic
486C23×C4×C59C2311yescharacteristic
487C23×C4×C59C2311yescharacteristic
488C23×C4×C59C2311yescharacteristic
489C23×C4×C59C2311yescharacteristic
490C23×C4×C59C2311yescharacteristic
491#126×C59C2318yes—
492#126×C59C2318yescomplemented
493#125×C59C2318yescomplemented
494#124×C59C2318yes—
495#123×C59C2318yes—
496#123×C59C2318yescomplemented
497C22⋊Q8×C59C2318yescomplemented
498#121×C59C2318yes—
499C4×Q8×C59C2318yescomplemented
500C4×D4×C59C2318yes—
501C4×D4×C59C2318yes—
502C4×D4×C59C2318yescomplemented
503#117×C59C2318yes—
504#117×C59C2318yescomplemented
505C2×C4⋊C4×C59C2311yescharacteristic
506C2×C4⋊C4×C59C2311yescharacteristic
507C2×C4⋊C4×C59C2311yescharacteristic
508C2×C4⋊C4×C59C2311yescharacteristic
509C2×C4⋊C4×C59C2311yescharacteristic
510C2×C4⋊C4×C59C2311yescharacteristic
511C2×C4⋊C4×C59C2311yescharacteristic
512C2×C4⋊C4×C59C2311yescharacteristic
513C2×C4⋊C4×C59C2311yescharacteristic
514C2×C4⋊C4×C59C2311yescharacteristic
515C2×C22⋊C4×C59C2311yescharacteristic
516C2×C22⋊C4×C59C2311yescharacteristic
517C2×C22⋊C4×C59C2311yescharacteristic
518C2×C22⋊C4×C59C2311yescharacteristic
519C2×C22⋊C4×C59C2311yescharacteristic
520C2×C22⋊C4×C59C2311yescharacteristic
521C2×C22⋊C4×C59C2311yescharacteristic
522C2×C22⋊C4×C59C2311yescharacteristic
523C2×C22⋊C4×C59C2311yescharacteristic
524C2×C22⋊C4×C59C2311yescharacteristic
525C2×C42×C59C2311yescharacteristic
526C2×C42×C59C2311yescharacteristic
527C2×C42×C59C2311yescharacteristic
528C2×C42×C59C2311yescharacteristic
529C2×C42×C59C2311yescharacteristic
530C2×C42×C59C2311yescharacteristic
531C2×C42×C59C2318yescomplemented
532C24×C59C2411yescharacteristic
533C24×C59C2411yescharacteristic
534C24×C59C2411yescharacteristic
535C23×D59—24no—
536C23×D59—42no—
537C23×D59—42no—
538C23×D59C2411yescharacteristic
539C23×D59C2411yescharacteristic
540C23×D59C2411yescharacteristic
541C23×D59C2411yescharacteristic
542C23×D59C2414yes—
543C2×Q8×C59—42no—
544C2×Q8×C59C2414yes—
545C2×D4×C59—42no—
546C2×D4×C59—42no—
547C2×D4×C59—42no—
548C2×D4×C59C2414yes—
549C2×D4×C59C2414yes—
550C2×D4×C59C2414yes—
551C22×C4×C59—24no—
552C22×C4×C59—24no—
553C22×C4×C59—24no—
554C22×C4×C59—42no—
555C22×C4×C59—42no—
556C22×C4×C59C2411yescharacteristic
557C22×C4×C59C2411yescharacteristic
558C22×C4×C59C2411yescharacteristic
559C22×C4×C59C2411yescharacteristic
560C22×C4×C59C2411yescharacteristic
561C22×C4×C59C2411yescharacteristic
562C22×C4×C59C2411yescharacteristic
563C22×C4×C59C2411yescharacteristic
564C22×C4×C59C2411yescharacteristic
565C22×C4×C59C2414yes—
566C22×C4×C59C2411yescharacteristic
567C22×C4×C59C2411yescharacteristic
568C22×C4×C59C2414yes—
569C22×C4×C59C2414yes—
570C22×C4×C59C2414yes—
571C22×C4×C59C2414yes—
572C22×C4×C59C2411yescharacteristic
573C2×C22⋊D59—24no—
574C2×C22⋊D59—24no—
575C2×C22⋊D59—24no—
576C2×C22⋊D59—24no—
577C2×C22⋊D59—42no—
578C2×C22⋊D59—42no—
579C2×C22⋊D59—42no—
580C2×C22⋊D59—42no—
581C2×C22⋊D59—42no—
582C2×C22⋊D59—42no—
583C2×C22⋊D59C2414yes—
584C2×C22⋊D59C2414yes—
585C2×C22⋊D59C2414yes—
586C2×C22⋊D59C2414yes—
587C2×C22⋊D59C2414yes—
588C2×C22⋊D59C2414yes—
589C2×C22⋊D59C2414yes—
590C2×C22⋊D59C2414yes—
591C2×C22⋊D59C2414yes—
592C2×C22⋊D59C2414yes—
593C22×Dic59—24no—
594C22×Dic59—42no—
595C22×Dic59—42no—
596C22×Dic59C2411yescharacteristic
597C22×Dic59C2411yescharacteristic
598C22×Dic59C2411yescharacteristic
599C22×Dic59C2411yescharacteristic
600C22×Dic59C2411yescharacteristic
601C22×Dic59C2411yescharacteristic
602C22×Dic59C2411yescharacteristic
603C22×Dic59C2411yescharacteristic
604C22×Dic59C2411yescharacteristic
605C22×Dic59C2411yescharacteristic
606C22×Dic59C2411yescharacteristic
607C22×Dic59C2414yes—
608C22×Dic59C2414yes—
609C22×Dic59C2414yes—
610C22×Dic59C2411yescharacteristic
611#11745685—232no—
612#11745685—232no—
613C2×D236—24no—
614C2×D236—24no—
615C2×D236—42no—
616C2×D236—42no—
617C2×D236—42no—
618C2×D236C2414yes—
619C2×D236C2414yes—
620C2×D236C2414yes—
621C2×D236C2414yes—
622C2×D236C2414yes—
623C2×C4×D59—24no—
624C2×C4×D59—24no—
625C2×C4×D59—24no—
626C2×C4×D59—24no—
627C2×C4×D59—24no—
628C2×C4×D59—232no—
629C2×C4×D59—42no—
630C2×C4×D59—42no—
631C2×C4×D59—42no—
632C2×C4×D59—42no—
633C2×C4×D59—42no—
634C2×C4×D59—42no—
635C2×C4×D59—42no—
636C2×C4×D59—42no—
637C2×C4×D59#4118yes—
638C2×C4×D59C2414yes—
639C2×C4×D59C2414yes—
640C2×C4×D59C2414yes—
641C2×C4×D59C2414yes—
642C2×C4×D59C2414yes—
643C2×C4×D59C2414yes—
644C2×C4×D59C2414yes—
645C2×C4×D59C2414yes—
646C2×C4×D59C2414yes—
647C2×C4×D59C2414yes—
648C2×C4×D59C2414yes—
649C2×C4×D59C2414yes—
650C2×C4×D59C2414yes—
651C2×C4×D59C2414yes—
652C2×Dic118—24no—
653C2×Dic118—24no—
654C2×Dic118—42no—
655C2×Dic118—42no—
656C2×Dic118—42no—
657C2×Dic118C2414yes—
658C2×Dic118C2414yes—
659C2×Dic118C2414yes—
660C2×Dic118C2414yes—
661C2×Dic118C2414yes—
662C4⋊C4×C59C2414yes—
663C4⋊C4×C59C2414yes—
664C4⋊C4×C59C2414yes—
665C4⋊C4×C59C2414yes—
666C4⋊C4×C59C2414yes—
667C4⋊C4×C59C2414yes—
668C4⋊C4×C59C2414yes—
669C4⋊C4×C59C2414yes—
670C4⋊C4×C59C2414yes—
671C4⋊C4×C59C2414yes—
672C22⋊C4×C59C2414yes—
673C22⋊C4×C59C2414yes—
674C22⋊C4×C59C2414yes—
675C22⋊C4×C59C2414yes—
676C22⋊C4×C59C2414yes—
677C22⋊C4×C59C2414yes—
678C22⋊C4×C59C2414yes—
679C22⋊C4×C59C2414yes—
680C22⋊C4×C59C2414yes—
681C22⋊C4×C59C2414yes—
682C42×C59C2414yes—
683C42×C59C2414yes—
684C42×C59C2414yes—
685C42×C59C2414yes—
686C42×C59C2414yes—
687C42×C59C2414yes—
688C22⋊Dic59C2414yes—
689C22⋊Dic59C2414yes—
690C22⋊Dic59C2414yes—
691C22⋊Dic59C2414yes—
692C22⋊Dic59C2414yes—
693C22⋊Dic59C2414yes—
694C22⋊Dic59C2414yes—
695C22⋊Dic59C2414yes—
696C22⋊Dic59C2414yes—
697C22⋊Dic59C2414yes—
698(C2×D59)⋊C4C2414yes—
699(C2×D59)⋊C4C2414yes—
700(C2×D59)⋊C4C2414yes—
701(C2×D59)⋊C4C2414yes—
702(C2×D59)⋊C4C2414yes—
703(C2×D59)⋊C4C2414yes—
704(C2×D59)⋊C4C2414yes—
705(C2×D59)⋊C4C2414yes—
706(C2×D59)⋊C4C2414yes—
707(C2×D59)⋊C4C2414yes—
708(C2×D59)⋊C4C2414yes—
709(C2×D59)⋊C4C2414yes—
710(C2×D59)⋊C4C2414yes—
711(C2×D59)⋊C4C2414yes—
712(C2×D59)⋊C4C2414yes—
713(C2×D59)⋊C4C2414yes—
714(C2×D59)⋊C4C2414yes—
715(C2×D59)⋊C4C2414yes—
716(C2×D59)⋊C4C2414yes—
717(C2×D59)⋊C4C2414yes—
718(C2×D59)⋊C4C2414yes—
719(C2×D59)⋊C4C2414yes—
720(C2×D59)⋊C4C2414yes—
721(C2×D59)⋊C4C2414yes—
722C4⋊Dic59C2414yes—
723C4⋊Dic59C2414yes—
724C4⋊Dic59C2414yes—
725C4⋊Dic59C2414yes—
726C4⋊Dic59C2414yes—
727C4⋊Dic59C2414yes—
728C4⋊Dic59C2414yes—
729C4⋊Dic59C2414yes—
730C4⋊Dic59C2414yes—
731C4⋊Dic59C2414yes—
732Dic59⋊C4C2414yes—
733Dic59⋊C4C2414yes—
734Dic59⋊C4C2414yes—
735Dic59⋊C4C2414yes—
736Dic59⋊C4C2414yes—
737Dic59⋊C4C2414yes—
738Dic59⋊C4C2414yes—
739Dic59⋊C4C2414yes—
740Dic59⋊C4C2414yes—
741Dic59⋊C4C2414yes—
742Dic59⋊C4C2414yes—
743Dic59⋊C4C2414yes—
744Dic59⋊C4C2414yes—
745Dic59⋊C4C2414yes—
746Dic59⋊C4C2414yes—
747Dic59⋊C4C2414yes—
748Dic59⋊C4C2414yes—
749Dic59⋊C4C2414yes—
750Dic59⋊C4C2414yes—
751Dic59⋊C4C2414yes—
752Dic59⋊C4C2414yes—
753Dic59⋊C4C2414yes—
754Dic59⋊C4C2414yes—
755Dic59⋊C4C2414yes—
756C4×Dic59C2414yes—
757C4×Dic59C2414yes—
758C4×Dic59C2414yes—
759C4×Dic59C2414yes—
760C4×Dic59C2414yes—
761C4×Dic59C2414yes—
762C4×Dic59C2414yes—
763C4×Dic59C2414yes—
764C4×Dic59C2414yes—
765C4×Dic59C2414yes—
766C4×Dic59C2414yes—
767C4×Dic59C2414yes—
768C4×Dic59C2414yes—
769C4×Dic59C2414yes—
770C23×C59—22no—
771C23×C59—22no—
772C23×C59—22no—
773C23×C59—22no—
774C23×C59—22no—
775C23×C59—22no—
776C23×C59—22no—
777C23×C59—22no—
778C23×C59—22no—
779C23×C59C2512yes—
780C23×C59C2512yes—
781C23×C59C2512yes—
782C23×C59C2511yescharacteristic
783C22×D59—22no—
784C22×D59—22no—
785C22×D59—22no—
786C22×D59—22no—
787C22×D59—22no—
788C22×D59—22no—
789C22×D59—22no—
790C22×D59—22no—
791C22×D59—22no—
792C22×D59—22no—
793C22×D59—22no—
794C22×D59—28no—
795C22×D59—44no—
796C22×D59—44no—
797C22×D59—416no—
798C22×D59C2×#4114yes—
799C22×D59C2512yes—
800C22×D59C2512yes—
801C22×D59C2512yes—
802C22×D59C2512yes—
803Q8×C59—44no—
804D4×C59—44no—
805D4×C59—44no—
806D4×C59—44no—
807C2×C4×C59—22no—
808C2×C4×C59—22no—
809C2×C4×C59—22no—
810C2×C4×C59—22no—
811C2×C4×C59—22no—
812C2×C4×C59—22no—
813C2×C4×C59—22no—
814C2×C4×C59—22no—
815C2×C4×C59—22no—
816C2×C4×C59—22no—
817C2×C4×C59—22no—
818C2×C4×C59—28no—
819C2×C4×C59—28no—
820C2×C4×C59—28no—
821C2×C4×C59—44no—
822C2×C4×C59—44no—
823C2×C4×C59C2×#4114yes—
824C2×C4×C59C2512yes—
825C2×C4×C59C2512yes—
826C2×C4×C59C2512yes—
827C2×C4×C59C2512yes—
828C2×C4×C59C2512yes—
829C2×C4×C59C2512yes—
830C2×C4×C59C2512yes—
831C2×C4×C59C2512yes—
832C2×C4×C59C2512yes—
833C2×C4×C59C2512yes—
834C2×C4×C59C2512yes—
835C2×C4×C59C2512yes—
836C22⋊D59—28no—
837C22⋊D59—28no—
838C22⋊D59—28no—
839C22⋊D59—28no—
840C22⋊D59—44no—
841C22⋊D59—44no—
842C22⋊D59—44no—
843C22⋊D59—44no—
844C22⋊D59—44no—
845C22⋊D59—44no—
846C2×Dic59—22no—
847C2×Dic59—22no—
848C2×Dic59—22no—
849C2×Dic59—22no—
850C2×Dic59—22no—
851C2×Dic59—22no—
852C2×Dic59—22no—
853C2×Dic59—22no—
854C2×Dic59—22no—
855C2×Dic59—22no—
856C2×Dic59—22no—
857C2×Dic59—28no—
858C2×Dic59—44no—
859C2×Dic59—44no—
860C2×Dic59C2×#4114yes—
861C2×Dic59C2512yes—
862C2×Dic59C2512yes—
863C2×Dic59C2512yes—
864C2×Dic59C2512yes—
865C2×Dic59C2512yes—
866C2×Dic59C2512yes—
867C2×Dic59C2512yes—
868C2×Dic59C2512yes—
869C2×Dic59C2512yes—
870C2×Dic59C2512yes—
871C2×Dic59C2512yes—
872C2×Dic59C2512yes—
873D236—28no—
874D236—28no—
875D236—44no—
876D236—44no—
877D236—44no—
878C4×D59—28no—
879C4×D59—28no—
880C4×D59—28no—
881C4×D59—28no—
882C4×D59—28no—
883C4×D59—44no—
884C4×D59—44no—
885C4×D59—44no—
886C4×D59—44no—
887C4×D59—44no—
888C4×D59—44no—
889C4×D59—44no—
890C4×D59—44no—
891C4×D59C2×#41116yes—
892Dic118—28no—
893Dic118—28no—
894Dic118—44no—
895Dic118—44no—
896Dic118—44no—
897C2×#3455—591nomaximal, Sylow
898C22×C59—22no—
899C22×C59—22no—
900C22×C59—22no—
901C22×C59—22no—
902C22×C59—22no—
903C22×C59—22no—
904C22×C59—22no—
905C22×C59—22no—
906C22×C59—22no—
907C22×C59—44no—
908C22×C59—44no—
909C22×C59—44no—
910C22×C59C22×#4112yes—
911C22×C59#58512yes—
912C22×C59#58512yes—
913C22×C59C2611yescharacteristic
914C2×D59—22no—
915C2×D59—22no—
916C2×D59—28no—
917C2×D59—22no—
918C2×D59—22no—
919C2×D59—22no—
920C2×D59—22no—
921C2×D59—22no—
922C2×D59—22no—
923C2×D59—22no—
924C2×D59—22no—
925C2×D59—22no—
926C2×D59—416no—
927C2×D59—44no—
928C2×D59—44no—
929C2×D59—44no—
930C2×D59C22×#4114yes—
931C4×C59—22no—
932C4×C59—22no—
933C4×C59—22no—
934C4×C59—22no—
935C4×C59—22no—
936C4×C59—22no—
937C4×C59—22no—
938C4×C59—22no—
939C4×C59—22no—
940C4×C59—22no—
941C4×C59—22no—
942C4×C59C22×#4114yes—
943Dic59—22no—
944Dic59—22no—
945Dic59—22no—
946Dic59—22no—
947Dic59—22no—
948Dic59—22no—
949Dic59—22no—
950Dic59—22no—
951Dic59—22no—
952Dic59—22no—
953Dic59—22no—
954Dic59C22×#4114yes—
955#3455—5932no—
956C2×#542—591no—
957C2×#542—591no—
958C2×#542—591no—
959C2×#542—591no—
960C2×#541—591no—
961C2×#541—591no—
962C2×#540—591no—
963C2×#540—591no—
964C2×#539—591no—
965C2×#539—591no—
966C2×#539—591no—
967C2×#539—591no—
968C2×#538—591no—
969C2×#538—591no—
970C2×#538—591no—
971C2×#538—591no—
972C2×#533—591no—
973C2×#532—591no—
974C2×#529—591no—
975C2×#529—591no—
976C2×#529—591no—
977C2×#529—591no—
978C2×#529—591no—
979C2×#529—591no—
980C2×#529—591no—
981C2×#529D5911yescharacteristic, complemented
982C2×#525—591no—
983C2×#525—591no—
984C2×C4×#41—591no—
985C2×C4×#41—591no—
986C22×#117—591no—
987C2×C59—42no—
988C2×C59—42no—
989C2×C59—42no—
990C2×C59#345514yescomplemented
991C2×C59C23×#4111yescharacteristic
992C2×C59C2×#58511yescharacteristic
993C2×C59C2×#58511yescharacteristic
994D59—24no—
995D59—42no—
996D59—42no—
997D59—42no—
998C22×#41—591no—
999C22×#41—591no—
1000C24×C4—591no—
1001#542—5916no—
1002#542—5916no—
1003#542—5916no—
1004#542—5916no—
1005#541—5916no—
1006#541—5916no—
1007#540—5916no—
1008#540—5916no—
1009#539—5916no—
1010#539—5916no—
1011#539—5916no—
1012#539—5916no—
1013#538—5916no—
1014#538—5916no—
1015#538—5916no—
1016#538—5916no—
1017#533—5916no—
1018#532—5916no—
1019C2×C4⋊Q8—591no—
1020C2×C4⋊Q8—591no—
1021C2×C4⋊Q8—591no—
1022C2×#127—591no—
1023#529—5916no—
1024#529—5916no—
1025#529—5916no—
1026#529—5916no—
1027#529—5916no—
1028#529—5916no—
1029#529—5916no—
1030#529C2×D59116yescomplemented
1031C2×#126—591no—
1032C2×#126—591no—
1033C2×#126—591no—
1034C2×#126—591no—
1035C2×#126—591no—
1036C2×#126—591no—
1037C2×#126—591no—
1038C2×#126—591no—
1039C2×#126—591no—
1040C2×#126—591no—
1041C2×#126—591no—
1042C2×#126—591no—
1043C2×#126—591no—
1044C2×#126—591no—
1045C2×#126C2×D5911yescharacteristic
1046C2×#126C2×D5911yescharacteristic, complemented
1047C2×#125—591no—
1048C2×#125—591no—
1049C2×#125—591no—
1050C2×#125—591no—
1051C2×#125—591no—
1052C2×#125—591no—
1053C2×#125—591no—
1054C2×#125—591no—
1055C2×#125—591no—
1056C2×#125C2×D5911yescharacteristic, complemented
1057C2×#124—591no—
1058C2×#124—591no—
1059C2×#124—591no—
1060C2×#124—591no—
1061C2×#124—591no—
1062C2×#124—591no—
1063C2×#124—591no—
1064C2×#124—591no—
1065C2×#124—591no—
1066C2×#124C2×D5911yescharacteristic
1067#525—5916no—
1068#525—5916no—
1069C2×#123—591no—
1070C2×#123—591no—
1071C2×#123—591no—
1072C2×#123—591no—
1073C2×#123—591no—
1074C2×#123—591no—
1075C2×#123—591no—
1076C2×#123—591no—
1077C2×#123—591no—
1078C2×#123—591no—
1079C2×#123—591no—
1080C2×#123—591no—
1081C2×#123—591no—
1082C2×#123—591no—
1083C2×#123—591no—
1084C2×#123—591no—
1085C2×#123—591no—
1086C2×#123—591no—
1087C2×#123C2×D5911yescharacteristic
1088C2×#123C2×D5911yescharacteristic, complemented
1089C2×C22⋊Q8—591no—
1090C2×C22⋊Q8—591no—
1091C2×C22⋊Q8—591no—
1092C2×C22⋊Q8—591no—
1093C2×C22⋊Q8—591no—
1094C2×C22⋊Q8—591no—
1095C2×C22⋊Q8—591no—
1096C2×C22⋊Q8—591no—
1097C2×C22⋊Q8—591no—
1098C2×C22⋊Q8—591no—
1099C2×C22⋊Q8—591no—
1100C2×C22⋊Q8—591no—
1101C2×C22⋊Q8—591no—
1102C2×C22⋊Q8—591no—
1103C2×C22⋊Q8—591no—
1104C2×C22⋊Q8C2×D5911yescharacteristic, complemented
1105C2×#121—591no—
1106C2×#121—591no—
1107C2×#121—591no—
1108C2×#121—591no—
1109C2×#121—591no—
1110C2×#121—591no—
1111C2×#121—591no—
1112C2×#121—591no—
1113C2×#121—591no—
1114C2×#121—591no—
1115C2×#121—591no—
1116C2×#121—591no—
1117C2×#121—591no—
1118C2×#121—591no—
1119C2×#121—591no—
1120C2×#121C2×D5911yescharacteristic
1121C2×#120—591no—
1122C2×#120—591no—
1123C2×#120—591no—
1124C2×#120—591no—
1125C4×#41—5916no—
1126C4×#41—5916no—
1127C2×C4×Q8—591no—
1128C2×C4×Q8—591no—
1129C2×C4×Q8—591no—
1130C2×C4×Q8—591no—
1131C2×C4×Q8—591no—
1132C2×C4×Q8—591no—
1133C2×C4×Q8—591no—
1134C2×C4×Q8C2×D5911yescharacteristic, complemented
1135C2×C4×D4—591no—
1136C2×C4×D4—591no—
1137C2×C4×D4—591no—
1138C2×C4×D4—591no—
1139C2×C4×D4—591no—
1140C2×C4×D4—591no—
1141C2×C4×D4—591no—
1142C2×C4×D4—591no—
1143C2×C4×D4—591no—
1144C2×C4×D4—591no—
1145C2×C4×D4—591no—
1146C2×C4×D4—591no—
1147C2×C4×D4—591no—
1148C2×C4×D4—591no—
1149C2×C4×D4—591no—
1150C2×C4×D4—591no—
1151C2×C4×D4—591no—
1152C2×C4×D4—591no—
1153C2×C4×D4—591no—
1154C2×C4×D4—591no—
1155C2×C4×D4—591no—
1156C2×C4×D4C2×D5911yescharacteristic
1157C2×C4×D4C2×D5911yescharacteristic
1158C2×C4×D4C2×D5911yescharacteristic, complemented
1159C2×#117—591no—
1160C2×#117—591no—
1161C2×#117—5916no—
1162C2×#117—591no—
1163C2×#117—591no—
1164C2×#117—591no—
1165C2×#117—591no—
1166C2×#117—591no—
1167C2×#117—591no—
1168C2×#117—591no—
1169C2×#117—591no—
1170C2×#117—591no—
1171C2×#117—591no—
1172C2×#117C2×D5911yescharacteristic
1173C2×#117C2×D5911yescharacteristic, complemented
1174C22×C4⋊C4—591no—
1175C22×C4⋊C4—591no—
1176C22×C22⋊C4—591no—
1177C22×C22⋊C4—591no—
1178C22×C42—591no—
1179C22×C42—591no—
1180C22×C42—591no—
1181C22×C42—591no—
1182C22×C42—591no—
1183C22×C42C2×D5911yescharacteristic, complemented
1184C59C2×#345511yescharacteristic, complemented, Sylow
1185C25—591no—
1186C2×#41—598no—
1187C2×#41—598no—
1188C2×#41—1188no—
1189C2×#41—1188no—
1190C22×Q8—591no—
1191C22×Q8—591no—
1192C22×Q8—591no—
1193C22×Q8—591no—
1194C22×Q8—591no—
1195C22×Q8C22×D5911yescharacteristic
1196C22×D4—591no—
1197C22×D4—591no—
1198C22×D4—591no—
1199C22×D4—591no—
1200C22×D4—591no—
1201C22×D4—591no—
1202C22×D4—591no—
1203C22×D4—591no—
1204C22×D4—591no—
1205C22×D4—591no—
1206C22×D4—591no—
1207C22×D4—591no—
1208C22×D4—591no—
1209C22×D4—591no—
1210C22×D4—591no—
1211C22×D4C22×D5911yescharacteristic
1212C22×D4C22×D5911yescharacteristic
1213C22×D4C22×D5911yescharacteristic
1214C23×C4—591no—
1215C23×C4—591no—
1216C23×C4—591no—
1217C23×C4—591no—
1218C23×C4—591no—
1219C23×C4—591no—
1220C23×C4—598no—
1221C23×C4—591no—
1222C23×C4—591no—
1223C23×C4—591no—
1224C23×C4—591no—
1225C23×C4—591no—
1226C23×C4—591no—
1227C23×C4—591no—
1228C23×C4—591no—
1229C23×C4—591no—
1230C23×C4—591no—
1231C23×C4—591no—
1232C23×C4—1188no—
1233C23×C4C22×D5911yescharacteristic
1234C23×C4C22×D5911yescharacteristic
1235C23×C4C22×D5911yescharacteristic
1236C23×C4C22×D5911yescharacteristic
1237C23×C4C22×D5911yescharacteristic
1238C4⋊Q8—598no—
1239C4⋊Q8—598no—
1240C4⋊Q8—598no—
1241#127—598no—
1242#126—598no—
1243#126—598no—
1244#126—598no—
1245#126—598no—
1246#126—598no—
1247#126—598no—
1248#126—598no—
1249#126—598no—
1250#126—598no—
1251#126—598no—
1252#126—598no—
1253#126—598no—
1254#126—598no—
1255#126—598no—
1256#126C22×D5918yes—
1257#126C22×D5918yescomplemented
1258#125—598no—
1259#125—598no—
1260#125—598no—
1261#125—598no—
1262#125—598no—
1263#125—598no—
1264#125—598no—
1265#125—598no—
1266#125—598no—
1267#125C22×D5918yescomplemented
1268#124—598no—
1269#124—598no—
1270#124—598no—
1271#124—598no—
1272#124—598no—
1273#124—598no—
1274#124—598no—
1275#124—598no—
1276#124—598no—
1277#124C22×D5918yes—
1278#123—598no—
1279#123—598no—
1280#123—598no—
1281#123—598no—
1282#123—598no—
1283#123—598no—
1284#123—598no—
1285#123—598no—
1286#123—598no—
1287#123—598no—
1288#123—598no—
1289#123—598no—
1290#123—598no—
1291#123—598no—
1292#123—598no—
1293#123—598no—
1294#123—598no—
1295#123—598no—
1296#123C22×D5918yes—
1297#123C22×D5918yescomplemented
1298C22⋊Q8—598no—
1299C22⋊Q8—598no—
1300C22⋊Q8—598no—
1301C22⋊Q8—598no—
1302C22⋊Q8—598no—
1303C22⋊Q8—598no—
1304C22⋊Q8—598no—
1305C22⋊Q8—598no—
1306C22⋊Q8—598no—
1307C22⋊Q8—598no—
1308C22⋊Q8—598no—
1309C22⋊Q8—598no—
1310C22⋊Q8—598no—
1311C22⋊Q8—598no—
1312C22⋊Q8—598no—
1313C22⋊Q8C22×D5918yescomplemented
1314#121—598no—
1315#121—598no—
1316#121—598no—
1317#121—598no—
1318#121—598no—
1319#121—598no—
1320#121—598no—
1321#121—598no—
1322#121—598no—
1323#121—598no—
1324#121—598no—
1325#121—598no—
1326#121—598no—
1327#121—598no—
1328#121—598no—
1329#121C22×D5918yes—
1330#120—598no—
1331#120—598no—
1332#120—598no—
1333#120—598no—
1334C4×Q8—598no—
1335C4×Q8—598no—
1336C4×Q8—598no—
1337C4×Q8—598no—
1338C4×Q8—598no—
1339C4×Q8—598no—
1340C4×Q8—598no—
1341C4×Q8C22×D5918yescomplemented
1342C4×D4—598no—
1343C4×D4—598no—
1344C4×D4—598no—
1345C4×D4—598no—
1346C4×D4—598no—
1347C4×D4—598no—
1348C4×D4—598no—
1349C4×D4—598no—
1350C4×D4—598no—
1351C4×D4—598no—
1352C4×D4—598no—
1353C4×D4—598no—
1354C4×D4—598no—
1355C4×D4—598no—
1356C4×D4—598no—
1357C4×D4—598no—
1358C4×D4—598no—
1359C4×D4—598no—
1360C4×D4—598no—
1361C4×D4—598no—
1362C4×D4—598no—
1363C4×D4C22×D5918yes—
1364C4×D4C22×D5918yes—
1365C4×D4C22×D5918yescomplemented
1366#117—598no—
1367#117—598no—
1368#117—598no—
1369#117—598no—
1370#117—598no—
1371#117—598no—
1372#117—598no—
1373#117—598no—
1374#117—598no—
1375#117—598no—
1376#117—598no—
1377#117—598no—
1378#117C22×D5918yes—
1379#117C22×D5918yescomplemented
1380C2×C4⋊C4—591no—
1381C2×C4⋊C4—591no—
1382C2×C4⋊C4—591no—
1383C2×C4⋊C4—591no—
1384C2×C4⋊C4—591no—
1385C2×C4⋊C4—591no—
1386C2×C4⋊C4—591no—
1387C2×C4⋊C4—591no—
1388C2×C4⋊C4—591no—
1389C2×C4⋊C4—591no—
1390C2×C4⋊C4—591no—
1391C2×C4⋊C4—591no—
1392C2×C4⋊C4—591no—
1393C2×C4⋊C4—591no—
1394C2×C4⋊C4—591no—
1395C2×C4⋊C4—591no—
1396C2×C4⋊C4—591no—
1397C2×C4⋊C4—591no—
1398C2×C4⋊C4—591no—
1399C2×C4⋊C4—591no—
1400C2×C4⋊C4—591no—
1401C2×C4⋊C4—591no—
1402C2×C4⋊C4—591no—
1403C2×C4⋊C4—591no—
1404C2×C4⋊C4—591no—
1405C2×C4⋊C4—591no—
1406C2×C4⋊C4—591no—
1407C2×C4⋊C4—591no—
1408C2×C4⋊C4—591no—
1409C2×C4⋊C4—591no—
1410C2×C4⋊C4—591no—
1411C2×C4⋊C4—591no—
1412C2×C4⋊C4—591no—
1413C2×C4⋊C4—591no—
1414C2×C4⋊C4—598no—
1415C2×C4⋊C4—598no—
1416C2×C4⋊C4C22×D5911yescharacteristic
1417C2×C4⋊C4C22×D5911yescharacteristic
1418C2×C4⋊C4C22×D5911yescharacteristic
1419C2×C4⋊C4C22×D5911yescharacteristic
1420C2×C4⋊C4C22×D5911yescharacteristic
1421C2×C4⋊C4C22×D5911yescharacteristic
1422C2×C4⋊C4C22×D5911yescharacteristic
1423C2×C4⋊C4C22×D5911yescharacteristic
1424C2×C4⋊C4C22×D5911yescharacteristic
1425C2×C4⋊C4C22×D5911yescharacteristic
1426C2×C22⋊C4—591no—
1427C2×C22⋊C4—591no—
1428C2×C22⋊C4—591no—
1429C2×C22⋊C4—591no—
1430C2×C22⋊C4—591no—
1431C2×C22⋊C4—591no—
1432C2×C22⋊C4—591no—
1433C2×C22⋊C4—591no—
1434C2×C22⋊C4—591no—
1435C2×C22⋊C4—591no—
1436C2×C22⋊C4—591no—
1437C2×C22⋊C4—591no—
1438C2×C22⋊C4—591no—
1439C2×C22⋊C4—591no—
1440C2×C22⋊C4—591no—
1441C2×C22⋊C4—591no—
1442C2×C22⋊C4—591no—
1443C2×C22⋊C4—591no—
1444C2×C22⋊C4—591no—
1445C2×C22⋊C4—591no—
1446C2×C22⋊C4—591no—
1447C2×C22⋊C4—591no—
1448C2×C22⋊C4—591no—
1449C2×C22⋊C4—591no—
1450C2×C22⋊C4—591no—
1451C2×C22⋊C4—591no—
1452C2×C22⋊C4—591no—
1453C2×C22⋊C4—591no—
1454C2×C22⋊C4—591no—
1455C2×C22⋊C4—591no—
1456C2×C22⋊C4—591no—
1457C2×C22⋊C4—591no—
1458C2×C22⋊C4—591no—
1459C2×C22⋊C4—591no—
1460C2×C22⋊C4—598no—
1461C2×C22⋊C4—598no—
1462C2×C22⋊C4C22×D5911yescharacteristic
1463C2×C22⋊C4C22×D5911yescharacteristic
1464C2×C22⋊C4C22×D5911yescharacteristic
1465C2×C22⋊C4C22×D5911yescharacteristic
1466C2×C22⋊C4C22×D5911yescharacteristic
1467C2×C22⋊C4C22×D5911yescharacteristic
1468C2×C22⋊C4C22×D5911yescharacteristic
1469C2×C22⋊C4C22×D5911yescharacteristic
1470C2×C22⋊C4C22×D5911yescharacteristic
1471C2×C22⋊C4C22×D5911yescharacteristic
1472C2×C42—591no—
1473C2×C42—591no—
1474C2×C42—591no—
1475C2×C42—591no—
1476C2×C42—591no—
1477C2×C42—591no—
1478C2×C42—591no—
1479C2×C42—591no—
1480C2×C42—591no—
1481C2×C42—591no—
1482C2×C42—598no—
1483C2×C42—591no—
1484C2×C42—591no—
1485C2×C42—591no—
1486C2×C42—591no—
1487C2×C42—598no—
1488C2×C42—598no—
1489C2×C42—598no—
1490C2×C42—598no—
1491C2×C42C22×D5911yescharacteristic
1492C2×C42C22×D5911yescharacteristic
1493C2×C42C22×D5911yescharacteristic
1494C2×C42C22×D5911yescharacteristic
1495C2×C42C22×D5911yescharacteristic
1496C2×C42C22×D5911yescharacteristic
1497C2×C42C22×D5918yescomplemented
1498C24—591no—
1499C24—591no—
1500C24—591no—
1501C24—591no—
1502C24—594no—
1503C24—1184no—
1504C24—2362no—
1505C24—2362no—
1506C24C23×D5911yescharacteristic
1507C24C23×D5911yescharacteristic
1508C24C23×D5911yescharacteristic
1509#41—11832no—
1510#41—11832no—
1511C2×Q8—42no—
1512C2×Q8—594no—
1513C2×Q8—594no—
1514C2×Q8—594no—
1515C2×Q8—594no—
1516C2×Q8—594no—
1517C2×Q8—1184no—
1518C2×Q8—1184no—
1519C2×Q8—2362no—
1520C2×Q8—2362no—
1521C2×Q8—2362no—
1522C2×Q8C23×D5914yes—
1523C2×D4—42no—
1524C2×D4—42no—
1525C2×D4—42no—
1526C2×D4—594no—
1527C2×D4—594no—
1528C2×D4—594no—
1529C2×D4—594no—
1530C2×D4—594no—
1531C2×D4—594no—
1532C2×D4—594no—
1533C2×D4—594no—
1534C2×D4—594no—
1535C2×D4—594no—
1536C2×D4—594no—
1537C2×D4—594no—
1538C2×D4—594no—
1539C2×D4—594no—
1540C2×D4—594no—
1541C2×D4—1184no—
1542C2×D4—1184no—
1543C2×D4—1184no—
1544C2×D4—1184no—
1545C2×D4—1184no—
1546C2×D4—1184no—
1547C2×D4—2362no—
1548C2×D4—2362no—
1549C2×D4—2362no—
1550C2×D4—2362no—
1551C2×D4—2362no—
1552C2×D4—2362no—
1553C2×D4—2362no—
1554C2×D4—2362no—
1555C2×D4—2362no—
1556C2×D4C23×D5914yes—
1557C2×D4C23×D5914yes—
1558C2×D4C23×D5914yes—
1559C22×C4—24no—
1560C22×C4—24no—
1561C22×C4—24no—
1562C22×C4—42no—
1563C22×C4—42no—
1564C22×C4—591no—
1565C22×C4—598no—
1566C22×C4—594no—
1567C22×C4—591no—
1568C22×C4—591no—
1569C22×C4—591no—
1570C22×C4—591no—
1571C22×C4—591no—
1572C22×C4—591no—
1573C22×C4—591no—
1574C22×C4—591no—
1575C22×C4—591no—
1576C22×C4—591no—
1577C22×C4—591no—
1578C22×C4—594no—
1579C22×C4—594no—
1580C22×C4—594no—
1581C22×C4—594no—
1582C22×C4—594no—
1583C22×C4—594no—
1584C22×C4—594no—
1585C22×C4—594no—
1586C22×C4—594no—
1587C22×C4—594no—
1588C22×C4—594no—
1589C22×C4—594no—
1590C22×C4—594no—
1591C22×C4—594no—
1592C22×C4—594no—
1593C22×C4—594no—
1594C22×C4—1184no—
1595C22×C4—11832no—
1596C22×C4—1184no—
1597C22×C4—1184no—
1598C22×C4—1184no—
1599C22×C4—1184no—
1600C22×C4—1184no—
1601C22×C4—2362no—
1602C22×C4—2362no—
1603C22×C4—2362no—
1604C22×C4—2362no—
1605C22×C4—2362no—
1606C22×C4—2362no—
1607C22×C4—2362no—
1608C22×C4—2362no—
1609C22×C4—2362no—
1610C22×C4—2362no—
1611C22×C4C23×D5911yescharacteristic
1612C22×C4C23×D5911yescharacteristic
1613C22×C4C23×D5911yescharacteristic
1614C22×C4C23×D5914yes—
1615C22×C4C23×D5911yescharacteristic
1616C22×C4C23×D5911yescharacteristic
1617C22×C4C23×D5911yescharacteristic
1618C22×C4C23×D5911yescharacteristic
1619C22×C4C23×D5911yescharacteristic
1620C22×C4C23×D5911yescharacteristic
1621C22×C4C23×D5911yescharacteristic
1622C22×C4C23×D5914yes—
1623C22×C4C23×D5911yescharacteristic
1624C22×C4C23×D5914yes—
1625C22×C4C23×D5914yes—
1626C22×C4C23×D5914yes—
1627C22×C4C23×D5911yescharacteristic
1628C4⋊C4—594no—
1629C4⋊C4—594no—
1630C4⋊C4—594no—
1631C4⋊C4—594no—
1632C4⋊C4—594no—
1633C4⋊C4—594no—
1634C4⋊C4—594no—
1635C4⋊C4—594no—
1636C4⋊C4—594no—
1637C4⋊C4—594no—
1638C4⋊C4—594no—
1639C4⋊C4—594no—
1640C4⋊C4—594no—
1641C4⋊C4—594no—
1642C4⋊C4—594no—
1643C4⋊C4—594no—
1644C4⋊C4—594no—
1645C4⋊C4—594no—
1646C4⋊C4—594no—
1647C4⋊C4—594no—
1648C4⋊C4—594no—
1649C4⋊C4—594no—
1650C4⋊C4—594no—
1651C4⋊C4—594no—
1652C4⋊C4—594no—
1653C4⋊C4—594no—
1654C4⋊C4—594no—
1655C4⋊C4—594no—
1656C4⋊C4—594no—
1657C4⋊C4—594no—
1658C4⋊C4—594no—
1659C4⋊C4—594no—
1660C4⋊C4—594no—
1661C4⋊C4—594no—
1662C4⋊C4C23×D5914yes—
1663C4⋊C4C23×D5914yes—
1664C4⋊C4C23×D5914yes—
1665C4⋊C4C23×D5914yes—
1666C4⋊C4C23×D5914yes—
1667C4⋊C4C23×D5914yes—
1668C4⋊C4C23×D5914yes—
1669C4⋊C4C23×D5914yes—
1670C4⋊C4C23×D5914yes—
1671C4⋊C4C23×D5914yes—
1672C22⋊C4—594no—
1673C22⋊C4—594no—
1674C22⋊C4—594no—
1675C22⋊C4—594no—
1676C22⋊C4—594no—
1677C22⋊C4—594no—
1678C22⋊C4—594no—
1679C22⋊C4—594no—
1680C22⋊C4—594no—
1681C22⋊C4—594no—
1682C22⋊C4—594no—
1683C22⋊C4—594no—
1684C22⋊C4—594no—
1685C22⋊C4—594no—
1686C22⋊C4—594no—
1687C22⋊C4—594no—
1688C22⋊C4—594no—
1689C22⋊C4—594no—
1690C22⋊C4—594no—
1691C22⋊C4—594no—
1692C22⋊C4—594no—
1693C22⋊C4—594no—
1694C22⋊C4—594no—
1695C22⋊C4—594no—
1696C22⋊C4—594no—
1697C22⋊C4—594no—
1698C22⋊C4—594no—
1699C22⋊C4—594no—
1700C22⋊C4—594no—
1701C22⋊C4—594no—
1702C22⋊C4—594no—
1703C22⋊C4—594no—
1704C22⋊C4—594no—
1705C22⋊C4—594no—
1706C22⋊C4C23×D5914yes—
1707C22⋊C4C23×D5914yes—
1708C22⋊C4C23×D5914yes—
1709C22⋊C4C23×D5914yes—
1710C22⋊C4C23×D5914yes—
1711C22⋊C4C23×D5914yes—
1712C22⋊C4C23×D5914yes—
1713C22⋊C4C23×D5914yes—
1714C22⋊C4C23×D5914yes—
1715C22⋊C4C23×D5914yes—
1716C42—594no—
1717C42—594no—
1718C42—594no—
1719C42—594no—
1720C42—594no—
1721C42—594no—
1722C42—594no—
1723C42—594no—
1724C42—594no—
1725C42—594no—
1726C42—594no—
1727C42—594no—
1728C42—594no—
1729C42—594no—
1730C42C23×D5914yes—
1731C42C23×D5914yes—
1732C42C23×D5914yes—
1733C42C23×D5914yes—
1734C42C23×D5914yes—
1735C42C23×D5914yes—
1736C23—22no—
1737C23—22no—
1738C23—22no—
1739C23—22no—
1740C23—22no—
1741C23—22no—
1742C23—22no—
1743C23—22no—
1744C23—22no—
1745C23—594no—
1746C23—592no—
1747C23—592no—
1748C23—592no—
1749C23—592no—
1750C23—1188no—
1751C23—1182no—
1752C23—1182no—
1753C23—1182no—
1754C23—1182no—
1755C23—1182no—
1756C23—1182no—
1757C23—1182no—
1758C23—1182no—
1759C23—1182no—
1760C23—1182no—
1761C23—1182no—
1762C23—2364no—
1763C23—2364no—
1764C23—23616no—
1765C23C24×D5912yes—
1766C23C24×D5912yes—
1767C23C24×D5912yes—
1768C23C24×D5911yescharacteristic
1769Q8—44no—
1770Q8—1188no—
1771Q8—1188no—
1772Q8—2364no—
1773Q8—2364no—
1774Q8—2364no—
1775D4—44no—
1776D4—44no—
1777D4—44no—
1778D4—1188no—
1779D4—1188no—
1780D4—1188no—
1781D4—1188no—
1782D4—1188no—
1783D4—1188no—
1784D4—2364no—
1785D4—2364no—
1786D4—2364no—
1787D4—2364no—
1788D4—2364no—
1789D4—2364no—
1790D4—2364no—
1791D4—2364no—
1792D4—2364no—
1793C2×C4—22no—
1794C2×C4—22no—
1795C2×C4—22no—
1796C2×C4—22no—
1797C2×C4—22no—
1798C2×C4—22no—
1799C2×C4—22no—
1800C2×C4—22no—
1801C2×C4—22no—
1802C2×C4—22no—
1803C2×C4—22no—
1804C2×C4—28no—
1805C2×C4—28no—
1806C2×C4—28no—
1807C2×C4—44no—
1808C2×C4—44no—
1809C2×C4—594no—
1810C2×C4—592no—
1811C2×C4—5916no—
1812C2×C4—592no—
1813C2×C4—592no—
1814C2×C4—592no—
1815C2×C4—592no—
1816C2×C4—592no—
1817C2×C4—592no—
1818C2×C4—592no—
1819C2×C4—592no—
1820C2×C4—592no—
1821C2×C4—592no—
1822C2×C4—592no—
1823C2×C4—1188no—
1824C2×C4—1188no—
1825C2×C4—1188no—
1826C2×C4—1182no—
1827C2×C4—1182no—
1828C2×C4—1182no—
1829C2×C4—1182no—
1830C2×C4—1182no—
1831C2×C4—1182no—
1832C2×C4—1182no—
1833C2×C4—1182no—
1834C2×C4—1182no—
1835C2×C4—1182no—
1836C2×C4—1182no—
1837C2×C4—1188no—
1838C2×C4—1188no—
1839C2×C4—1188no—
1840C2×C4—2364no—
1841C2×C4—2364no—
1842C2×C4—2364no—
1843C2×C4—2364no—
1844C2×C4—2364no—
1845C2×C4—2364no—
1846C2×C4—2364no—
1847C2×C4—2364no—
1848C2×C4—2364no—
1849C2×C4—2364no—
1850C2×C4#41×D5914yes—
1851C2×C4C24×D5912yes—
1852C2×C4C24×D5912yes—
1853C2×C4C24×D5912yes—
1854C2×C4C24×D5912yes—
1855C2×C4C24×D5912yes—
1856C2×C4C24×D5912yes—
1857C2×C4C24×D5912yes—
1858C2×C4C24×D5912yes—
1859C2×C4C24×D5912yes—
1860C2×C4C24×D5912yes—
1861C2×C4C24×D5912yes—
1862C2×C4C24×D5912yes—
1863C22—22no—
1864C22—22no—
1865C22—22no—
1866C22—22no—
1867C22—22no—
1868C22—22no—
1869C22—22no—
1870C22—22no—
1871C22—22no—
1872C22—44no—
1873C22—44no—
1874C22—44no—
1875C22—594no—
1876C22—1188no—
1877C22—1182no—
1878C22—1182no—
1879C22—1182no—
1880C22—1182no—
1881C22—1182no—
1882C22—1182no—
1883C22—1182no—
1884C22—1182no—
1885C22—1182no—
1886C22—1182no—
1887C22—1182no—
1888C22—23616no—
1889C22—2364no—
1890C22—2364no—
1891C22—2364no—
1892C22C2×#41×D5912yes—
1893C22#1683823812yes—
1894C22#1683823812yes—
1895C22C25×D5911yescharacteristic
1896C4—22no—
1897C4—22no—
1898C4—22no—
1899C4—22no—
1900C4—22no—
1901C4—22no—
1902C4—22no—
1903C4—22no—
1904C4—22no—
1905C4—22no—
1906C4—22no—
1907C4—594no—
1908C4—1182no—
1909C4—1182no—
1910C4—1182no—
1911C4—1182no—
1912C4—1182no—
1913C4—1182no—
1914C4—1182no—
1915C4—1182no—
1916C4—1182no—
1917C4—1182no—
1918C4—1182no—
1919C4C2×#41×D5914yes—
1920C2—42no—
1921C2—42no—
1922C2—42no—
1923C2—1184no—
1924C2—2362no—
1925C2—2362no—
1926C2—2362no—
1927C2#2143747914yesdirect product factor
1928C2C22×#41×D5911yescharacteristic
1929C2C2×#1683823811yescharacteristic
1930C2C2×#1683823811yescharacteristic
subgroupG/H
centerC22×C4C23×D59
commutator, cosocleC22×C59C26
FrattiniC22C25×D59
FittingC2×C59×#529C2
socleC23×C59C25
hypercenterC2×#529D59
hypocenterC59C2×#3455
LCSG ▷ C22×C59 ▷ C59
UCSC1 ◁ C22×C4 ◁ C2×#529

Complements

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

NH ≅ G/Ntype
1. #21437479C2direct (N × H)
2. C2×#16838022C2semidirect
3. C2×#16838020C2semidirect
4. C2×#16838018C2semidirect
5. C2×#16838016C2semidirect
6. C2×#16838011C2semidirect
7. C2×#16838009C2semidirect
8. C2×#16838004C2semidirect
9. C2×#16838002C2semidirect
10. C2×#16838000C2semidirect
11. C2×#16837998C2semidirect
12. C2×#16837995C2semidirect
13. C2×#16837993C2semidirect
14. C2×#16837991C2semidirect
15. C2×#16837988C2semidirect
16. C2×#16837986C2semidirect
17. C2×#16837984C2semidirect
18. C2×#16837956C2semidirect
19. C2×#16837949C2semidirect
20. C2×#16837939C2semidirect
21. C2×#16837936C2semidirect
22. C2×#16837934C2semidirect
23. C2×#16837932C2semidirect
24. C2×#16837932C2semidirect
25. C2×#16837930C2semidirect
26. C2×#16837930C2semidirect
27. C2×#16837911C2semidirect
28. C2×#16837911C2semidirect
29. C2×C4×#11745685C2semidirect
30. C2×#16837870C2semidirect
31. C2×#117×D59C2semidirect
32. C2×C59×#529C2semidirect
36. #16838022C22semidirect
37. #16838020C22semidirect
38. #16838018C22semidirect
39. #16838016C22semidirect
40. #16838011C22semidirect
41. #16838009C22semidirect
42. #16838004C22semidirect
43. #16838002C22semidirect
44. #16838000C22semidirect
45. #16837998C22semidirect
46. #16837995C22semidirect
47. #16837993C22semidirect
48. #16837991C22semidirect
49. #16837988C22semidirect
50. #16837986C22semidirect
51. #16837984C22semidirect
52. #16837956C22semidirect
53. #16837949C22semidirect
54. C2×#14273726C22semidirect
55. C2×#14273726C22semidirect
56. C2×#14273725C22semidirect
57. C2×#14273723C22semidirect
58. #16837939C22semidirect
59. #16837936C22semidirect
60. #16837934C22semidirect
61. #16837932C22semidirect
62. #16837932C22semidirect
63. #16837930C22semidirect
64. #16837930C22semidirect
68. C2×#14273722C22semidirect
69. C2×#14273722C22semidirect
70. C2×#14273722C22semidirect
72. C2×#14273721C22semidirect
76. C2×#14273720C22semidirect
77. C2×#14273720C22semidirect
78. C2×#14273720C22semidirect
79. C2×#14273719C22semidirect
80. C2×#14273718C22semidirect
81. C2×#14273718C22semidirect
82. C2×#14273717C22semidirect
83. C2×#14273717C22semidirect
84. C2×#14273717C22semidirect
85. C2×#14273717C22semidirect
86. C2×#14273717C22semidirect
87. C2×#14273717C22semidirect
95. C2×#14273713C22semidirect
96. C2×#14273713C22semidirect
97. #16837911C22semidirect
98. #16837911C22semidirect
103. C2×#14273712C22semidirect
104. C2×#14273712C22semidirect
106. C2×#14273711C22semidirect
108. C2×#14273710C22semidirect
113. C2×#14273709C22semidirect
114. C2×#14273709C22semidirect
116. C2×#14273708C22semidirect
118. C2×#14273707C22semidirect
119. C2×#14273706C22semidirect
124. C2×#14273705C22semidirect
125. C2×#14273705C22semidirect
128. C2×#14273704C22semidirect
129. C2×#14273704C22semidirect
131. C2×#14273703C22semidirect
151. C4×#11745685C22semidirect
152. #16837870C22semidirect
153. C2×C4×Dic118C22semidirect
154. C2×C4×Dic118C22semidirect
155. C2×C4×Dic118C22semidirect
156. C2×C4×Dic118C22semidirect
157. C2×C4×Dic118C22semidirect
158. C2×#14273692C22semidirect
159. C2×#14273692C22semidirect
164. C2×C4×D236C22semidirect
173. C2×C4×C22⋊D59C22semidirect
174. C2×C4×C22⋊D59C22semidirect
175. C2×C4×C22⋊D59C22semidirect
176. C2×C4×C22⋊D59C22semidirect
179. C2×(C22⋊D59)⋊C4C22semidirect
180. C2×(C22⋊D59)⋊C4C22semidirect
182. C2×#14273686C22semidirect
189. C2×#14273684C22semidirect
190. C2×#14273684C22semidirect
193. #117×D59C22semidirect
198. C22×C4×Dic59C22semidirect
201. C2×C42×D59C22semidirect
202. C2×C42×D59C22semidirect
203. C59×#529C22semidirect
205. C2×#126×C59C22semidirect
206. C2×#125×C59C22semidirect
209. C2×#123×C59C22semidirect
210. C2×C22⋊Q8×C59C22semidirect
212. C2×C4×Q8×C59C22semidirect
215. C2×C4×D4×C59C22semidirect
217. C2×#117×C59C22semidirect
218. C22×C42×C59C22semidirect
263. #14273726C23semidirect
264. #14273726C23semidirect
265. #14273725C23semidirect
266. #14273723C23semidirect
270. #14273722C23semidirect
271. #14273722C23semidirect
272. #14273722C23semidirect
274. #14273721C23semidirect
278. #14273720C23semidirect
279. #14273720C23semidirect
280. #14273720C23semidirect
281. #14273719C23semidirect
282. #14273718C23semidirect
283. #14273718C23semidirect
284. #14273717C23semidirect
285. #14273717C23semidirect
286. #14273717C23semidirect
287. #14273717C23semidirect
288. #14273717C23semidirect
289. #14273717C23semidirect
297. #14273713C23semidirect
298. #14273713C23semidirect
303. #14273712C23semidirect
304. #14273712C23semidirect
306. #14273711C23semidirect
308. #14273710C23semidirect
313. #14273709C23semidirect
314. #14273709C23semidirect
316. #14273708C23semidirect
318. #14273707C23semidirect
319. #14273706C23semidirect
324. #14273705C23semidirect
325. #14273705C23semidirect
328. #14273704C23semidirect
329. #14273704C23semidirect
331. #14273703C23semidirect
351. C4×Dic118C23semidirect
352. C4×Dic118C23semidirect
353. C4×Dic118C23semidirect
354. C4×Dic118C23semidirect
355. C4×Dic118C23semidirect
356. #14273692C23semidirect
357. #14273692C23semidirect
362. C4×D236C23semidirect
371. C4×C22⋊D59C23semidirect
372. C4×C22⋊D59C23semidirect
373. C4×C22⋊D59C23semidirect
374. C4×C22⋊D59C23semidirect
377. (C22⋊D59)⋊C4C23semidirect
378. (C22⋊D59)⋊C4C23semidirect
380. #14273686C23semidirect
387. #14273684C23semidirect
388. #14273684C23semidirect
477. C2×C4×Dic59C23semidirect
480. C42×D59C23semidirect
481. C42×D59C23semidirect
492. #126×C59C23semidirect
493. #125×C59C23semidirect
496. #123×C59C23semidirect
497. C22⋊Q8×C59C23semidirect
499. C4×Q8×C59C23semidirect
502. C4×D4×C59C23semidirect
504. #117×C59C23semidirect
531. C2×C42×C59C23semidirect
981. C2×#529D59semidirect
990. C2×C59#3455semidirect
1030. #529C2×D59semidirect
1046. C2×#126C2×D59semidirect
1056. C2×#125C2×D59semidirect
1088. C2×#123C2×D59semidirect
1104. C2×C22⋊Q8C2×D59semidirect
1134. C2×C4×Q8C2×D59semidirect
1158. C2×C4×D4C2×D59semidirect
1173. C2×#117C2×D59semidirect
1183. C22×C42C2×D59semidirect
1184. C59C2×#3455semidirect
1257. #126C22×D59semidirect
1267. #125C22×D59semidirect
1297. #123C22×D59semidirect
1313. C22⋊Q8C22×D59semidirect
1341. C4×Q8C22×D59semidirect
1365. C4×D4C22×D59semidirect
1379. #117C22×D59semidirect
1497. C2×C42C22×D59semidirect
1927. C2#21437479direct (N × H)

Maximal subgroups

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

subgroupindex
#214374792
C2×#168380222
C2×#168380202
C2×#168380182
C2×#168380162
C2×#168380112
C2×#168380092
C2×#168380042
C2×#168380022
C2×#168380002
C2×#168379982
C2×#168379952
C2×#168379932
C2×#168379912
C2×#168379882
C2×#168379862
C2×#168379842
C2×#168379562
C2×#168379492
C2×#168379392
C2×#168379362
C2×#168379342
C2×#168379322
C2×#168379302
C2×#168379112
C2×C4×#117456852
C2×#168378702
C2×#117×D592
C2×C59×#5292
C2×#345559