Finite Group Databasebeta

← C2×#21437787 #29496736

Subgroups — C2×#21437787 #29496736

Order 15104.

7390 conjugacy classes of subgroups.

The subgroup lattice has 1940 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437787C2132yesmaximal, direct product factor
2C2×#16838094C211yesmaximal, characteristic, complemented
3C2×#16838092C211yesmaximal, characteristic, complemented
4C2×#16838091C211yesmaximal, characteristic, complemented
5C2×#16838089C211yesmaximal, characteristic, complemented
6C2×#16838088C211yesmaximal, characteristic, complemented
7C2×#16838088C211yesmaximal, characteristic, complemented
8C2×#16838086C211yesmaximal, characteristic, complemented
9C2×#16838085C211yesmaximal, characteristic, complemented
10C2×#16838083C211yesmaximal, characteristic, complemented
11C2×#16838082C211yesmaximal, characteristic, complemented
12C2×#16838081C211yesmaximal, characteristic, complemented
13C2×#16838080C211yesmaximal, characteristic, complemented
14C2×#16838078C211yesmaximal, characteristic, complemented
15C2×#16838078C211yesmaximal, characteristic, complemented
16C2×#16838075C211yesmaximal, characteristic, complemented
17C2×#16838027C211yesmaximal, characteristic, complemented
18C2×#16837998C211yesmaximal, characteristic, complemented
19C2×#16837995C211yesmaximal, characteristic, complemented
20C2×#16837995C211yesmaximal, characteristic, complemented
21C2×#16837993C211yesmaximal, characteristic, complemented
22C2×#16837962C211yesmaximal, characteristic
23C2×#16837935C211yesmaximal, characteristic, complemented
24C2×#16837934C211yesmaximal, characteristic, complemented
25C2×#16837931C211yesmaximal, characteristic, complemented
26C2×#16837930C211yesmaximal, characteristic, complemented
27C22×#14273709C211yesmaximal, characteristic, complemented
28C2×#123×D59C211yesmaximal, characteristic, complemented
29C2×#16837875C211yesmaximal, characteristic, complemented
30C2×#16837874C211yesmaximal, characteristic, complemented
31C2×#117×D59C211yesmaximal, characteristic, complemented
32C2×C59×#551C211yesmaximal, characteristic, complemented
33C23×C22⋊D59C2211yescharacteristic
34C22×D4×D59C2211yescharacteristic
35C23×C4×D59C2211yescharacteristic
36#16838094C22116yescomplemented
37#16838092C22116yescomplemented
38#16838091C22116yescomplemented
39#16838089C22116yescomplemented
40#16838088C22116yescomplemented
41#16838088C22116yescomplemented
42#16838086C22116yescomplemented
43#16838085C22116yescomplemented
44#16838083C22116yescomplemented
45#16838082C22116yescomplemented
46#16838081C22116yescomplemented
47#16838080C22116yescomplemented
48#16838078C22116yescomplemented
49#16838078C22116yescomplemented
50#16838075C22116yescomplemented
51#16838027C22116yescomplemented
52#16837998C22116yescomplemented
53#16837995C22116yescomplemented
54#16837995C22116yescomplemented
55#16837993C22116yescomplemented
56#16837962C22116yes—
57#16837935C22116yescomplemented
58#16837934C22116yescomplemented
59#16837931C22116yescomplemented
60#16837930C22116yescomplemented
61C2×#14273722C2211yescharacteristic, complemented
62C2×#14273722C2211yescharacteristic, complemented
63C2×#14273722C2211yescharacteristic, complemented
64C2×#14273721C2211yescharacteristic, complemented
65C2×#14273720C2211yescharacteristic, complemented
66C2×#14273720C2211yescharacteristic, complemented
67C2×#14273720C2211yescharacteristic, complemented
68C2×#14273720C2211yescharacteristic, complemented
69C2×#14273720C2211yescharacteristic, complemented
70C2×#14273720C2211yescharacteristic, complemented
71C2×#14273720C2211yescharacteristic, complemented
72C2×#14273720C2211yescharacteristic, complemented
73C2×#14273720C2211yescharacteristic, complemented
74C2×#14273720C2211yescharacteristic, complemented
75C2×#14273719C2211yescharacteristic, complemented
76C2×#14273719C2211yescharacteristic, complemented
77C2×#14273718C2211yescharacteristic, complemented
78C2×#14273718C2211yescharacteristic, complemented
79C2×#14273718C2211yescharacteristic, complemented
80C2×#14273718C2211yescharacteristic, complemented
81C2×#14273717C2211yescharacteristic, complemented
82C2×#14273717C2211yescharacteristic, complemented
83C2×#14273717C2211yescharacteristic, complemented
84C2×#14273717C2211yescharacteristic, complemented
85C2×#14273717C2211yescharacteristic, complemented
86C2×#14273717C2211yescharacteristic, complemented
87C2×#14273714C2211yescharacteristic, complemented
88C2×#14273713C2211yescharacteristic, complemented
89C2×#14273713C2211yescharacteristic, complemented
90C2×#14273712C2211yescharacteristic, complemented
91C2×#14273712C2211yescharacteristic, complemented
92C2×#14273711C2211yescharacteristic
93C2×#14273711C2211yescharacteristic
94C2×#14273711C2211yescharacteristic, complemented
95C2×#14273710C2211yescharacteristic
96C2×#14273710C2211yescharacteristic, complemented
97C2×#14273709C2211yescharacteristic
98C2×#14273709C2211yescharacteristic
99C2×#14273709C2211yescharacteristic
100C2×#14273709C2211yescharacteristic
101C2×#14273709C2211yescharacteristic
102C2×#14273709C2211yescharacteristic
103C2×#14273709C2211yescharacteristic, complemented
104C2×#14273709C2211yescharacteristic, complemented
105C2×#14273709C2211yescharacteristic, complemented
106C2×#14273709C2211yescharacteristic, complemented
107C2×#14273709C2211yescharacteristic, complemented
108C2×#14273709C2211yescharacteristic, complemented
109C2×#14273709C2211yescharacteristic, complemented
110C2×#14273709C2211yescharacteristic, complemented
111C2×#14273709C22116yescomplemented
112C2×#14273708C2211yescharacteristic
113C2×#14273708C2211yescharacteristic
114C2×#14273708C2211yescharacteristic, complemented
115C2×#14273708C2211yescharacteristic, complemented
116#123×D59C22116yescomplemented
117C2×#14273707C2211yescharacteristic, complemented
118C2×#14273707C2211yescharacteristic, complemented
119C2×#14273706C2211yescharacteristic, complemented
120C2×#14273706C2211yescharacteristic, complemented
121C2×#14273706C2211yescharacteristic, complemented
122C2×#14273705C2211yescharacteristic, complemented
123C2×#14273705C2211yescharacteristic, complemented
124C2×#14273705C2211yescharacteristic, complemented
125C2×#14273705C2211yescharacteristic, complemented
126C2×#14273705C2211yescharacteristic, complemented
127C2×#14273704C2211yescharacteristic, complemented
128C2×#14273704C2211yescharacteristic, complemented
129C2×#14273704C2211yescharacteristic, complemented
130C2×#14273704C2211yescharacteristic, complemented
131C2×#14273704C2211yescharacteristic, complemented
132C2×#14273703C2211yescharacteristic, complemented
133C2×#14273703C2211yescharacteristic, complemented
134C2×#14273703C2211yescharacteristic, complemented
135C2×#14273700C2211yescharacteristic
136C2×#14273700C2211yescharacteristic
137C2×#14273698C2211yescharacteristic
138C2×#14273698C2211yescharacteristic
139C2×#14273696C2211yescharacteristic
140C2×#14273695C2211yescharacteristic
141C2×#14273695C2211yescharacteristic
142#16837875C22116yescomplemented
143#16837874C22116yescomplemented
144C2×Q8×Dic59C2211yescharacteristic, complemented
145C2×C4×Dic118C2211yescharacteristic, complemented
146C2×C4×Dic118C2211yescharacteristic, complemented
147C2×#14273692C2211yescharacteristic, complemented
148C2×C4×D236C2211yescharacteristic, complemented
149C2×D4×Dic59C2211yescharacteristic
150C2×D4×Dic59C2211yescharacteristic, complemented
151C2×#14273689C2211yescharacteristic, complemented
152C2×C4×C22⋊D59C2211yescharacteristic
153C2×C4×C22⋊D59C2211yescharacteristic
154C2×C4×C22⋊D59C2211yescharacteristic
155C2×C4×C22⋊D59C2211yescharacteristic, complemented
156C2×C4×C22⋊D59C2211yescharacteristic, complemented
157C2×C4×C22⋊D59C2211yescharacteristic, complemented
158C2×C4×C22⋊D59C2211yescharacteristic, complemented
159C2×(C22⋊D59)⋊C4C2211yescharacteristic
160C2×(C22⋊D59)⋊C4C2211yescharacteristic
161C2×(C22⋊D59)⋊C4C2211yescharacteristic
162C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
163C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
164C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
165C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
166C2×#14273686C2211yescharacteristic, complemented
167C2×#14273686C2211yescharacteristic, complemented
168C2×#14273686C2211yescharacteristic, complemented
169C2×#14273685C2211yescharacteristic, complemented
170C2×#14273685C2211yescharacteristic, complemented
171C2×#14273685C2211yescharacteristic, complemented
172C2×#14273685C2211yescharacteristic, complemented
173C2×#14273684C2211yescharacteristic, complemented
174C2×#14273684C2211yescharacteristic, complemented
175C2×#14273684C2211yescharacteristic, complemented
176C2×#14273684C2211yescharacteristic, complemented
177C2×#14273683C2211yescharacteristic, complemented
178C2×#14273683C2211yescharacteristic, complemented
179C2×#14273683C2211yescharacteristic, complemented
180C2×#14273683C2211yescharacteristic, complemented
181C2×#14273683C2211yescharacteristic, complemented
182C2×#14273683C2211yescharacteristic, complemented
183C2×#14273683C2211yescharacteristic, complemented
184#117×D59C22116yescomplemented
185C22×C4⋊Dic59C2211yescharacteristic, complemented
186C22×Dic59⋊C4C2211yescharacteristic, complemented
187C2×C4⋊C4×D59C2211yescharacteristic, complemented
188C2×C4⋊C4×D59C2211yescharacteristic, complemented
189C2×C4⋊C4×D59C2211yescharacteristic, complemented
190C2×C4⋊C4×D59C2211yescharacteristic, complemented
191C22×C22⋊Dic59C2211yescharacteristic, complemented
192C22×C22⋊Dic59C2211yescharacteristic, complemented
193C22×(C2×D59)⋊C4C2211yescharacteristic
194C22×(C2×D59)⋊C4C2211yescharacteristic, complemented
195C2×C22⋊C4×D59C2211yescharacteristic
196C2×C22⋊C4×D59C2211yescharacteristic
197C2×C22⋊C4×D59C2211yescharacteristic
198C2×C22⋊C4×D59C2211yescharacteristic, complemented
199C2×C22⋊C4×D59C2211yescharacteristic, complemented
200C2×C22⋊C4×D59C2211yescharacteristic, complemented
201C2×C42×D59C2211yescharacteristic, complemented
202C2×C42×D59C2211yescharacteristic, complemented
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, complemented
211C2×C22⋊Q8×C59C2211yescharacteristic, complemented
212C2×#120×C59C2211yescharacteristic
213C2×C4×D4×C59C2211yescharacteristic
214C2×C4×D4×C59C2211yescharacteristic, complemented
215C2×#117×C59C2211yescharacteristic, complemented
216C2×#117×C59C2211yescharacteristic, complemented
217C22×C22⋊C4×C59C2211yescharacteristic, complemented
218C22×C22⋊C4×C59C2211yescharacteristic, complemented
219C24×D59C2311yescharacteristic
220C24×D59C2311yescharacteristic
221C22×Dic118C2311yescharacteristic
222C22×Dic118C2311yescharacteristic
223C22×Dic118C2311yescharacteristic
224C22×D236C2311yescharacteristic
225C22×C22⋊D59—28no—
226C22×C22⋊D59C2311yescharacteristic
227C22×C22⋊D59C2311yescharacteristic
228C22×C22⋊D59C2311yescharacteristic
229C22×C22⋊D59C2311yescharacteristic
230C22×C22⋊D59C2311yescharacteristic
231C22×C22⋊D59C2311yescharacteristic
232C22×C22⋊D59C2318yes—
233C22×C22⋊D59C2311yescharacteristic
234C22×C22⋊D59C2311yescharacteristic
235C2×D4×D59—28no—
236C2×D4×D59C2318yes—
237C23×Dic59C2311yescharacteristic
238C23×Dic59C2311yescharacteristic
239C23×Dic59C2311yescharacteristic
240C23×Dic59C2311yescharacteristic
241C23×Dic59C2311yescharacteristic
242C23×Dic59C2311yescharacteristic
243C22×C4×D59—28no—
244C22×C4×D59C2318yes—
245C22×C4×D59C2311yescharacteristic
246C22×C4×D59C2311yescharacteristic
247C22×C4×D59C2311yescharacteristic
248C22×C4×D59C2311yescharacteristic
249C22×C4×D59C2311yescharacteristic
250C22×C4×D59C2311yescharacteristic
251C22×C4×D59C2311yescharacteristic
252C22×C4×D59C2311yescharacteristic
253C22×C4×D59C2311yescharacteristic
254C22×C4×D59C2311yescharacteristic
255C22×C4×D59C2311yescharacteristic
256C22×C4×D59C2311yescharacteristic
257C22×C4×D59C2311yescharacteristic
258#14273722C2318yescomplemented
259#14273722C2318yescomplemented
260#14273722C2318yescomplemented
261#14273721C2318yescomplemented
262#14273720C2318yescomplemented
263#14273720C2318yescomplemented
264#14273720C2318yescomplemented
265#14273720C2318yescomplemented
266#14273720C2318yescomplemented
267#14273720C2318yescomplemented
268#14273720C2318yescomplemented
269#14273720C2318yescomplemented
270#14273720C2318yescomplemented
271#14273720C2318yescomplemented
272#14273719C2318yescomplemented
273#14273719C2318yescomplemented
274#14273718C2318yescomplemented
275#14273718C2318yescomplemented
276#14273718C2318yescomplemented
277#14273718C2318yescomplemented
278#14273717C2318yescomplemented
279#14273717C2318yescomplemented
280#14273717C2318yescomplemented
281#14273717C2318yescomplemented
282#14273717C2318yescomplemented
283#14273717C2318yescomplemented
284#14273714C2318yescomplemented
285#14273713C2318yescomplemented
286#14273713C2318yescomplemented
287#14273712C2318yescomplemented
288#14273712C2318yescomplemented
289#14273711C2318yes—
290#14273711C2318yes—
291#14273711C2318yescomplemented
292#14273710C2318yes—
293#14273710C2318yescomplemented
294#14273709C2318yes—
295#14273709C2318yes—
296#14273709C2318yes—
297#14273709C2318yes—
298#14273709C2318yes—
299#14273709C2318yes—
300#14273709C2318yescomplemented
301#14273709C2318yescomplemented
302#14273709C2318yescomplemented
303#14273709C2318yescomplemented
304#14273709C2318yescomplemented
305#14273709C2318yescomplemented
306#14273709C2318yescomplemented
307#14273709C2318yescomplemented
308#14273708C2318yes—
309#14273708C2318yes—
310#14273708C2318yescomplemented
311#14273708C2318yescomplemented
312#14273707C2318yescomplemented
313#14273707C2318yescomplemented
314#14273706C2318yescomplemented
315#14273706C2318yescomplemented
316#14273706C2318yescomplemented
317#14273705C2318yescomplemented
318#14273705C2318yescomplemented
319#14273705C2318yescomplemented
320#14273705C2318yescomplemented
321#14273705C2318yescomplemented
322#14273704C2318yescomplemented
323#14273704C2318yescomplemented
324#14273704C2318yescomplemented
325#14273704C2318yescomplemented
326#14273704C2318yescomplemented
327#14273703C2318yescomplemented
328#14273703C2318yescomplemented
329#14273703C2318yescomplemented
330#14273700C2318yes—
331#14273700C2318yes—
332#14273698C2318yes—
333#14273698C2318yes—
334#14273696C2318yes—
335#14273695C2318yes—
336#14273695C2318yes—
337Q8×Dic59C2318yescomplemented
338C4×Dic118C2318yescomplemented
339C4×Dic118C2318yescomplemented
340#14273692C2318yescomplemented
341C4×D236C2318yescomplemented
342D4×Dic59C2318yes—
343D4×Dic59C2318yescomplemented
344#14273689C2318yescomplemented
345C4×C22⋊D59C2318yes—
346C4×C22⋊D59C2318yes—
347C4×C22⋊D59C2318yes—
348C4×C22⋊D59C2318yescomplemented
349C4×C22⋊D59C2318yescomplemented
350C4×C22⋊D59C2318yescomplemented
351C4×C22⋊D59C2318yescomplemented
352(C22⋊D59)⋊C4C2318yes—
353(C22⋊D59)⋊C4C2318yes—
354(C22⋊D59)⋊C4C2318yes—
355(C22⋊D59)⋊C4C2318yescomplemented
356(C22⋊D59)⋊C4C2318yescomplemented
357(C22⋊D59)⋊C4C2318yescomplemented
358(C22⋊D59)⋊C4C2318yescomplemented
359#14273686C2318yescomplemented
360#14273686C2318yescomplemented
361#14273686C2318yescomplemented
362#14273685C2318yescomplemented
363#14273685C2318yescomplemented
364#14273685C2318yescomplemented
365#14273685C2318yescomplemented
366#14273684C2318yescomplemented
367#14273684C2318yescomplemented
368#14273684C2318yescomplemented
369#14273684C2318yescomplemented
370#14273683C2318yescomplemented
371#14273683C2318yescomplemented
372#14273683C2318yescomplemented
373#14273683C2318yescomplemented
374#14273683C2318yescomplemented
375#14273683C2318yescomplemented
376#14273683C2318yescomplemented
377C2×C4⋊Dic59C2311yescharacteristic
378C2×C4⋊Dic59C2311yescharacteristic
379C2×C4⋊Dic59C2311yescharacteristic
380C2×C4⋊Dic59C2311yescharacteristic
381C2×C4⋊Dic59C2311yescharacteristic
382C2×C4⋊Dic59C2311yescharacteristic
383C2×C4⋊Dic59C2311yescharacteristic
384C2×C4⋊Dic59C2311yescharacteristic
385C2×C4⋊Dic59C2311yescharacteristic
386C2×C4⋊Dic59C2311yescharacteristic
387C2×C4⋊Dic59C2311yescharacteristic
388C2×C4⋊Dic59C2311yescharacteristic
389C2×C4⋊Dic59C2311yescharacteristic
390C2×C4⋊Dic59C2311yescharacteristic
391C2×C4⋊Dic59C2318yescomplemented
392C2×Dic59⋊C4C2311yescharacteristic
393C2×Dic59⋊C4C2311yescharacteristic
394C2×Dic59⋊C4C2311yescharacteristic
395C2×Dic59⋊C4C2311yescharacteristic
396C2×Dic59⋊C4C2311yescharacteristic
397C2×Dic59⋊C4C2311yescharacteristic
398C2×Dic59⋊C4C2311yescharacteristic
399C2×Dic59⋊C4C2311yescharacteristic
400C2×Dic59⋊C4C2311yescharacteristic
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⋊C4C2318yescomplemented
419C4⋊C4×D59C2318yescomplemented
420C4⋊C4×D59C2318yescomplemented
421C4⋊C4×D59C2318yescomplemented
422C4⋊C4×D59C2318yescomplemented
423C2×C22⋊Dic59C2311yescharacteristic
424C2×C22⋊Dic59C2311yescharacteristic
425C2×C22⋊Dic59C2311yescharacteristic
426C2×C22⋊Dic59C2311yescharacteristic
427C2×C22⋊Dic59C2311yescharacteristic
428C2×C22⋊Dic59C2311yescharacteristic
429C2×C22⋊Dic59C2311yescharacteristic
430C2×C22⋊Dic59C2311yescharacteristic
431C2×C22⋊Dic59C2311yescharacteristic
432C2×C22⋊Dic59C2311yescharacteristic
433C2×C22⋊Dic59C2311yescharacteristic
434C2×C22⋊Dic59C2311yescharacteristic
435C2×C22⋊Dic59C2311yescharacteristic
436C2×C22⋊Dic59C2311yescharacteristic
437C2×C22⋊Dic59C2311yescharacteristic
438C2×C22⋊Dic59C2311yescharacteristic
439C2×C22⋊Dic59C2318yescomplemented
440C2×C22⋊Dic59C2318yescomplemented
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)⋊C4C2318yes—
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)⋊C4C2318yescomplemented
461C22⋊C4×D59C2318yes—
462C22⋊C4×D59C2318yes—
463C22⋊C4×D59C2318yes—
464C22⋊C4×D59C2318yescomplemented
465C22⋊C4×D59C2318yescomplemented
466C22⋊C4×D59C2318yescomplemented
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×Dic59C2311yescharacteristic
478C2×C4×Dic59C2311yescharacteristic
479C2×C4×Dic59C2311yescharacteristic
480C42×D59C2318yescomplemented
481C42×D59C2318yescomplemented
482C25×C59C2311yescharacteristic
483C22×Q8×C59C2311yescharacteristic
484C22×D4×C59C2311yescharacteristic
485C22×D4×C59C2311yescharacteristic
486C22×D4×C59C2311yescharacteristic
487C23×C4×C59C2311yescharacteristic
488C23×C4×C59C2311yescharacteristic
489C23×C4×C59C2311yescharacteristic
490C23×C4×C59C2311yescharacteristic
491C23×C4×C59C2311yescharacteristic
492#126×C59C2318yescomplemented
493#126×C59C2318yescomplemented
494#124×C59C2318yescomplemented
495#123×C59C2318yes—
496#123×C59C2318yescomplemented
497#123×C59C2318yescomplemented
498C22⋊Q8×C59C2318yescomplemented
499C22⋊Q8×C59C2318yescomplemented
500#120×C59C2318yes—
501C4×D4×C59C2318yes—
502C4×D4×C59C2318yescomplemented
503#117×C59C2318yescomplemented
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×C22⋊C4×C59C2311yescharacteristic
514C2×C22⋊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×C22⋊C4×C59C2311yescharacteristic
526C2×C22⋊C4×C59C2311yescharacteristic
527C2×C22⋊C4×C59C2318yescomplemented
528C2×C22⋊C4×C59C2318yescomplemented
529C2×C42×C59C2311yescharacteristic
530C2×C42×C59C2311yescharacteristic
531C2×C42×C59C2311yescharacteristic
532C24×C59—24no—
533C24×C59—42no—
534C24×C59—42no—
535C24×C59C2411yescharacteristic
536C24×C59C2411yescharacteristic
537C24×C59C2411yescharacteristic
538C24×C59C2411yescharacteristic
539C24×C59C2414yes—
540C23×D59—24no—
541C23×D59—42no—
542C23×D59—42no—
543C23×D59—42no—
544C23×D59—42no—
545C23×D59#4118yes—
546C23×D59C2411yescharacteristic
547C23×D59C2411yescharacteristic
548C23×D59C2411yescharacteristic
549C23×D59C2414yes—
550C23×D59C2414yes—
551C2×Q8×C59—42no—
552C2×Q8×C59C2414yes—
553C2×D4×C59—24no—
554C2×D4×C59—42no—
555C2×D4×C59—42no—
556C2×D4×C59C2414yes—
557C2×D4×C59C2414yes—
558C2×D4×C59C2414yes—
559C22×C4×C59—24no—
560C22×C4×C59—42no—
561C22×C4×C59—42no—
562C22×C4×C59—42no—
563C22×C4×C59—42no—
564C22×C4×C59C2411yescharacteristic
565C22×C4×C59C2411yescharacteristic
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×C59C2414yes—
576C22×C4×C59C2414yes—
577C22×C4×C59C2414yes—
578C22×C4×C59C2414yes—
579C22×C4×C59C2414yes—
580C2×C22⋊D59—24no—
581C2×C22⋊D59—24no—
582C2×C22⋊D59—24no—
583C2×C22⋊D59—24no—
584C2×C22⋊D59—24no—
585C2×C22⋊D59—24no—
586C2×C22⋊D59—232no—
587C2×C22⋊D59—42no—
588C2×C22⋊D59—42no—
589C2×C22⋊D59C2414yes—
590C2×C22⋊D59C2414yes—
591C2×C22⋊D59C2414yes—
592C2×C22⋊D59C2414yes—
593C2×C22⋊D59C2414yes—
594C2×C22⋊D59C2414yes—
595C2×C22⋊D59C2414yes—
596C2×C22⋊D59C2414yes—
597C22×Dic59—24no—
598C22×Dic59—24no—
599C22×Dic59—42no—
600C22×Dic59—42no—
601C22×Dic59—42no—
602C22×Dic59—42no—
603C22×Dic59C2411yescharacteristic
604C22×Dic59C2411yescharacteristic
605C22×Dic59C2411yescharacteristic
606C22×Dic59C2411yescharacteristic
607C22×Dic59C2411yescharacteristic
608C22×Dic59C2411yescharacteristic
609C22×Dic59C2411yescharacteristic
610C22×Dic59C2411yescharacteristic
611C22×Dic59C2411yescharacteristic
612C22×Dic59C2411yescharacteristic
613C22×Dic59C2411yescharacteristic
614C22×Dic59C2411yescharacteristic
615C22×Dic59C2411yescharacteristic
616C22×Dic59C2414yes—
617C22×Dic59C2414yes—
618C22×Dic59C2414yes—
619C22×Dic59C2414yes—
620C22×Dic59C2414yes—
621C22×Dic59C2414yes—
622D4×D59—232no—
623C2×D236—24no—
624C2×D236C2414yes—
625C2×C4×D59—24no—
626C2×C4×D59—24no—
627C2×C4×D59—24no—
628C2×C4×D59—24no—
629C2×C4×D59—232no—
630C2×C4×D59—24no—
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—42no—
638C2×C4×D59—42no—
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—42no—
653C2×Dic118—42no—
654C2×Dic118—42no—
655C2×Dic118C2414yes—
656C2×Dic118C2414yes—
657C2×Dic118C2414yes—
658C4⋊C4×C59C2414yes—
659C4⋊C4×C59C2414yes—
660C4⋊C4×C59C2414yes—
661C4⋊C4×C59C2414yes—
662C4⋊C4×C59C2414yes—
663C4⋊C4×C59C2414yes—
664C4⋊C4×C59C2414yes—
665C4⋊C4×C59C2414yes—
666C22⋊C4×C59C2414yes—
667C22⋊C4×C59C2414yes—
668C22⋊C4×C59C2414yes—
669C22⋊C4×C59C2414yes—
670C22⋊C4×C59C2414yes—
671C22⋊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—
680C42×C59C2414yes—
681C42×C59C2414yes—
682C42×C59C2414yes—
683C22⋊Dic59C2414yes—
684C22⋊Dic59C2414yes—
685C22⋊Dic59C2414yes—
686C22⋊Dic59C2414yes—
687C22⋊Dic59C2414yes—
688C22⋊Dic59C2414yes—
689C22⋊Dic59C2414yes—
690C22⋊Dic59C2414yes—
691C22⋊Dic59C2414yes—
692C22⋊Dic59C2414yes—
693C22⋊Dic59C2414yes—
694C22⋊Dic59C2414yes—
695C22⋊Dic59C2414yes—
696C22⋊Dic59C2414yes—
697C22⋊Dic59C2414yes—
698C22⋊Dic59C2414yes—
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—
717C4⋊Dic59C2414yes—
718C4⋊Dic59C2414yes—
719C4⋊Dic59C2414yes—
720C4⋊Dic59C2414yes—
721C4⋊Dic59C2414yes—
722C4⋊Dic59C2414yes—
723C4⋊Dic59C2414yes—
724C4⋊Dic59C2414yes—
725C4⋊Dic59C2414yes—
726C4⋊Dic59C2414yes—
727C4⋊Dic59C2414yes—
728C4⋊Dic59C2414yes—
729C4⋊Dic59C2414yes—
730C4⋊Dic59C2414yes—
731Dic59⋊C4C2414yes—
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—
756Dic59⋊C4C2414yes—
757C4×Dic59C2414yes—
758C4×Dic59C2414yes—
759C4×Dic59C2414yes—
760C4×Dic59C2414yes—
761C4×Dic59C2414yes—
762C4×Dic59C2414yes—
763C4×Dic59C2414yes—
764C4×Dic59C2414yes—
765C4×Dic59C2414yes—
766C4×Dic59C2414yes—
767C4×Dic59C2414yes—
768C4×Dic59C2414yes—
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×C59—22no—
780C23×C59—22no—
781C23×C59—28no—
782C23×C59—44no—
783C23×C59—44no—
784C23×C59—88no—
785C23×C59C2×#4114yes—
786C23×C59C2512yes—
787C23×C59C2512yes—
788C23×C59C2512yes—
789C23×C59C2512yes—
790C23×C59C2511yescharacteristic
791C22×D59—22no—
792C22×D59—22no—
793C22×D59—22no—
794C22×D59—22no—
795C22×D59—22no—
796C22×D59—22no—
797C22×D59—22no—
798C22×D59—28no—
799C22×D59—416no—
800C22×D59—44no—
801C22×D59—44no—
802C22×D59—44no—
803C22×D59—44no—
804C22×D59—88no—
805C22×D59C2×#4114yes—
806C22×D59C2×#4114yes—
807C22×D59C2×#41116yes—
808C22×D59C2512yes—
809C22×D59C2512yes—
810C22×D59C2512yes—
811Q8×C59—44no—
812D4×C59—28no—
813D4×C59—44no—
814D4×C59—44no—
815C2×C4×C59—28no—
816C2×C4×C59—22no—
817C2×C4×C59—22no—
818C2×C4×C59—22no—
819C2×C4×C59—22no—
820C2×C4×C59—22no—
821C2×C4×C59—22no—
822C2×C4×C59—22no—
823C2×C4×C59—22no—
824C2×C4×C59—22no—
825C2×C4×C59—22no—
826C2×C4×C59—22no—
827C2×C4×C59—44no—
828C2×C4×C59—44no—
829C2×C4×C59—44no—
830C2×C4×C59—44no—
831C2×C4×C59C2512yes—
832C2×C4×C59C2512yes—
833C2×C4×C59C2512yes—
834C2×C4×C59C2512yes—
835C2×C4×C59C2512yes—
836C2×C4×C59C2512yes—
837C2×C4×C59C2512yes—
838C2×C4×C59C2512yes—
839C2×C4×C59C2512yes—
840C2×C4×C59C2512yes—
841C2×C4×C59C2512yes—
842C22⋊D59—28no—
843C22⋊D59—28no—
844C22⋊D59—28no—
845C22⋊D59—28no—
846C22⋊D59—28no—
847C22⋊D59—28no—
848C22⋊D59—44no—
849C22⋊D59—44no—
850C2×Dic59—28no—
851C2×Dic59—22no—
852C2×Dic59—22no—
853C2×Dic59—22no—
854C2×Dic59—28no—
855C2×Dic59—22no—
856C2×Dic59—22no—
857C2×Dic59—22no—
858C2×Dic59—22no—
859C2×Dic59—22no—
860C2×Dic59—22no—
861C2×Dic59—22no—
862C2×Dic59—22no—
863C2×Dic59—22no—
864C2×Dic59—22no—
865C2×Dic59—44no—
866C2×Dic59—44no—
867C2×Dic59—44no—
868C2×Dic59—44no—
869C2×Dic59C2512yes—
870C2×Dic59C2512yes—
871C2×Dic59C2512yes—
872C2×Dic59C2512yes—
873C2×Dic59C2512yes—
874C2×Dic59C2512yes—
875C2×Dic59C2512yes—
876C2×Dic59C2512yes—
877C2×Dic59C2512yes—
878C2×Dic59C2512yes—
879C2×Dic59C2512yes—
880C2×Dic59C2512yes—
881C2×Dic59C2512yes—
882D236—28no—
883C4×D59—28no—
884C4×D59—28no—
885C4×D59—28no—
886C4×D59—28no—
887C4×D59—28no—
888C4×D59—44no—
889C4×D59—44no—
890C4×D59—44no—
891C4×D59—44no—
892C4×D59—44no—
893C4×D59—44no—
894C4×D59—44no—
895C4×D59—44no—
896Dic118—44no—
897Dic118—44no—
898Dic118—44no—
899C2×#3491—591nomaximal, Sylow
900C22×C59—22no—
901C22×C59—22no—
902C22×C59—28no—
903C22×C59—22no—
904C22×C59—22no—
905C22×C59—22no—
906C22×C59—22no—
907C22×C59—22no—
908C22×C59—22no—
909C22×C59—22no—
910C22×C59—22no—
911C22×C59—22no—
912C22×C59—44no—
913C22×C59—44no—
914C22×C59—44no—
915C22×C59—88no—
916C22×C59C22×#4114yes—
917C22×C59C22×#4112yes—
918C22×C59#58512yes—
919C22×C59#58512yes—
920C22×C59C2611yescharacteristic
921C2×D59—22no—
922C2×D59—22no—
923C2×D59—22no—
924C2×D59—22no—
925C2×D59—28no—
926C2×D59—28no—
927C2×D59—22no—
928C2×D59—22no—
929C2×D59—22no—
930C2×D59—416no—
931C2×D59—44no—
932C2×D59—88no—
933C2×D59C22×#4114yes—
934C2×D59C22×#4114yes—
935C4×C59—22no—
936C4×C59—22no—
937C4×C59—22no—
938C4×C59—22no—
939C4×C59—22no—
940C4×C59—22no—
941C4×C59—22no—
942C4×C59—22no—
943C4×C59—22no—
944C4×C59—22no—
945C4×C59—22no—
946Dic59—22no—
947Dic59—22no—
948Dic59—22no—
949Dic59—22no—
950Dic59—22no—
951Dic59—22no—
952Dic59—22no—
953Dic59—22no—
954Dic59—22no—
955Dic59—22no—
956Dic59—22no—
957Dic59—22no—
958Dic59—22no—
959#3491—5932no—
960C2×#552—591no—
961C2×#552—591no—
962C2×#552—591no—
963C2×#552—591no—
964C2×#552—591no—
965C2×#552—591no—
966C2×#552—591no—
967C2×#552—591no—
968C2×#551—591no—
969C2×#551—591no—
970C2×#551—591no—
971C2×#551—591no—
972C2×#551—591no—
973C2×#551—591no—
974C2×#551—591no—
975C2×#551D5911yescharacteristic, complemented
976C2×#543—591no—
977C2×#539—591no—
978C2×#539—591no—
979C2×#539—591no—
980C2×#539—591no—
981C2×#534—591no—
982C2×#529—591no—
983C2×#529—591no—
984C2×#529—591no—
985C2×#529—591no—
986C22×#123—591no—
987C22×#123—591no—
988C2×#518—591no—
989C2×#518—591no—
990C22×#117—591no—
991C2×C59—24no—
992C2×C59—42no—
993C2×C59—42no—
994C2×C59—42no—
995C2×C59#349114yescomplemented
996C2×C59C23×#4111yescharacteristic
997C2×C59C2×#58511yescharacteristic
998C2×C59C2×#58511yescharacteristic
999D59—24no—
1000D59—24no—
1001D59—42no—
1002C23×D4—591no—
1003C23×D4—591no—
1004C24×C4—591no—
1005#552—5916no—
1006#552—5916no—
1007#552—5916no—
1008#552—5916no—
1009#552—5916no—
1010#552—5916no—
1011#552—5916no—
1012#552—5916no—
1013#551—5916no—
1014#551—5916no—
1015#551—5916no—
1016#551—5916no—
1017#551—5916no—
1018#551—5916no—
1019#551—5916no—
1020#551C2×D59116yescomplemented
1021#543—5916no—
1022#539—5916no—
1023#539—5916no—
1024#539—5916no—
1025#539—5916no—
1026#534—5916no—
1027#529—5916no—
1028#529—5916no—
1029#529—5916no—
1030#529—5916no—
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, complemented
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×#125—591no—
1057C2×#125—591no—
1058C2×#125—591no—
1059C2×#124—591no—
1060C2×#124—591no—
1061C2×#124—591no—
1062C2×#124C2×D5911yescharacteristic, complemented
1063C2×#123—591no—
1064C2×#123—591no—
1065C2×#123—591no—
1066C2×#123—591no—
1067C2×#123—591no—
1068C2×#123—591no—
1069C2×#123—5916no—
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×#123—591no—
1088C2×#123—591no—
1089C2×#123—5916no—
1090C2×#123C2×D5911yescharacteristic
1091C2×#123C2×D5911yescharacteristic, complemented
1092C2×#123C2×D5911yescharacteristic, complemented
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⋊Q8—591no—
1105C2×C22⋊Q8—591no—
1106C2×C22⋊Q8—591no—
1107C2×C22⋊Q8—591no—
1108C2×C22⋊Q8—591no—
1109C2×C22⋊Q8—591no—
1110C2×C22⋊Q8—591no—
1111C2×C22⋊Q8C2×D5911yescharacteristic, complemented
1112C2×C22⋊Q8C2×D5911yescharacteristic, complemented
1113C2×#121—591no—
1114C2×#121—591no—
1115C2×#121—591no—
1116C2×#121—591no—
1117C2×#120—591no—
1118C2×#120—591no—
1119C2×#120—591no—
1120C2×#120C2×D5911yescharacteristic
1121#518—5916no—
1122#518—5916no—
1123C2×C4×Q8—591no—
1124C2×C4×Q8—591no—
1125C2×C4×Q8—591no—
1126C2×C4×Q8—591no—
1127C2×C4×D4—591no—
1128C2×C4×D4—591no—
1129C2×C4×D4—591no—
1130C2×C4×D4—591no—
1131C2×C4×D4—591no—
1132C2×C4×D4—591no—
1133C2×C4×D4—591no—
1134C2×C4×D4—591no—
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×D4C2×D5911yescharacteristic
1146C2×C4×D4C2×D5911yescharacteristic, complemented
1147C2×#117—591no—
1148C2×#117—591no—
1149C2×#117—591no—
1150C2×#117—5916no—
1151C2×#117—591no—
1152C2×#117—591no—
1153C2×#117—591no—
1154C2×#117—591no—
1155C2×#117—591no—
1156C2×#117—591no—
1157C2×#117—591no—
1158C2×#117—591no—
1159C2×#117—591no—
1160C2×#117—591no—
1161C2×#117—591no—
1162C2×#117—591no—
1163C2×#117—591no—
1164C2×#117—591no—
1165C2×#117—591no—
1166C2×#117C2×D5911yescharacteristic, complemented
1167C2×#117C2×D5911yescharacteristic, complemented
1168C22×C4⋊C4—591no—
1169C22×C4⋊C4—591no—
1170C22×C4⋊C4—591no—
1171C22×C4⋊C4—591no—
1172C22×C4⋊C4—591no—
1173C22×C4⋊C4—591no—
1174C22×C22⋊C4—591no—
1175C22×C22⋊C4—591no—
1176C22×C22⋊C4—591no—
1177C22×C22⋊C4—591no—
1178C22×C22⋊C4—591no—
1179C22×C22⋊C4—591no—
1180C22×C22⋊C4—591no—
1181C22×C22⋊C4—591no—
1182C22×C22⋊C4—591no—
1183C22×C22⋊C4—591no—
1184C22×C22⋊C4C2×D5911yescharacteristic, complemented
1185C22×C22⋊C4C2×D5911yescharacteristic, complemented
1186C22×C42—591no—
1187C22×C42—591no—
1188C59C2×#349111yescharacteristic, complemented, Sylow
1189C25—591no—
1190C25—591no—
1191C25C22×D5911yescharacteristic
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—598no—
1203C22×D4—591no—
1204C22×D4—591no—
1205C22×D4—598no—
1206C22×D4—591no—
1207C22×D4—1188no—
1208C22×D4—1188no—
1209C22×D4C22×D5911yescharacteristic
1210C22×D4C22×D5911yescharacteristic
1211C22×D4C22×D5911yescharacteristic
1212C23×C4—591no—
1213C23×C4—591no—
1214C23×C4—591no—
1215C23×C4—591no—
1216C23×C4—591no—
1217C23×C4—591no—
1218C23×C4—591no—
1219C23×C4—591no—
1220C23×C4—591no—
1221C23×C4—591no—
1222C23×C4—598no—
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
1238#126—598no—
1239#126—598no—
1240#126—598no—
1241#126—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#126C22×D5918yescomplemented
1253#126C22×D5918yescomplemented
1254#125—598no—
1255#125—598no—
1256#125—598no—
1257#125—598no—
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#124—598no—
1267#124—598no—
1268#124—598no—
1269#124C22×D5918yescomplemented
1270#123—598no—
1271#123—598no—
1272#123—598no—
1273#123—598no—
1274#123—598no—
1275#123—598no—
1276#123—598no—
1277#123—598no—
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#123C22×D5918yes—
1296#123C22×D5918yescomplemented
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⋊Q8—598no—
1314C22⋊Q8—598no—
1315C22⋊Q8—598no—
1316C22⋊Q8C22×D5918yescomplemented
1317C22⋊Q8C22×D5918yescomplemented
1318#121—598no—
1319#121—598no—
1320#121—598no—
1321#121—598no—
1322#120—598no—
1323#120—598no—
1324#120—598no—
1325#120C22×D5918yes—
1326C4×Q8—598no—
1327C4×Q8—598no—
1328C4×Q8—598no—
1329C4×Q8—598no—
1330C4×D4—598no—
1331C4×D4—598no—
1332C4×D4—598no—
1333C4×D4—598no—
1334C4×D4—598no—
1335C4×D4—598no—
1336C4×D4—598no—
1337C4×D4—598no—
1338C4×D4—598no—
1339C4×D4—598no—
1340C4×D4—598no—
1341C4×D4—598no—
1342C4×D4—598no—
1343C4×D4—598no—
1344C4×D4—598no—
1345C4×D4—598no—
1346C4×D4—598no—
1347C4×D4—598no—
1348C4×D4C22×D5918yes—
1349C4×D4C22×D5918yescomplemented
1350#117—598no—
1351#117—598no—
1352#117—598no—
1353#117—598no—
1354#117—598no—
1355#117—598no—
1356#117—598no—
1357#117—598no—
1358#117—598no—
1359#117—598no—
1360#117—598no—
1361#117—598no—
1362#117—598no—
1363#117—598no—
1364#117—598no—
1365#117—598no—
1366#117—598no—
1367#117—598no—
1368#117C22×D5918yescomplemented
1369#117C22×D5918yescomplemented
1370C2×C4⋊C4—591no—
1371C2×C4⋊C4—591no—
1372C2×C4⋊C4—591no—
1373C2×C4⋊C4—591no—
1374C2×C4⋊C4—591no—
1375C2×C4⋊C4—591no—
1376C2×C4⋊C4—591no—
1377C2×C4⋊C4—591no—
1378C2×C4⋊C4—591no—
1379C2×C4⋊C4—591no—
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—598no—
1391C2×C4⋊C4—598no—
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—598no—
1413C2×C4⋊C4—598no—
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×C22⋊C4—591no—
1425C2×C22⋊C4—591no—
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—598no—
1434C2×C22⋊C4—591no—
1435C2×C22⋊C4—591no—
1436C2×C22⋊C4—591no—
1437C2×C22⋊C4—598no—
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—598no—
1457C2×C22⋊C4—598no—
1458C2×C22⋊C4—591no—
1459C2×C22⋊C4—591no—
1460C2×C22⋊C4—591no—
1461C2×C22⋊C4—591no—
1462C2×C22⋊C4—598no—
1463C2×C22⋊C4—598no—
1464C2×C22⋊C4—598no—
1465C2×C22⋊C4—598no—
1466C2×C22⋊C4—598no—
1467C2×C22⋊C4—598no—
1468C2×C22⋊C4C22×D5911yescharacteristic
1469C2×C22⋊C4C22×D5911yescharacteristic
1470C2×C22⋊C4C22×D5911yescharacteristic
1471C2×C22⋊C4C22×D5911yescharacteristic
1472C2×C22⋊C4C22×D5911yescharacteristic
1473C2×C22⋊C4C22×D5911yescharacteristic
1474C2×C22⋊C4C22×D5911yescharacteristic
1475C2×C22⋊C4C22×D5911yescharacteristic
1476C2×C22⋊C4C22×D5911yescharacteristic
1477C2×C22⋊C4C22×D5911yescharacteristic
1478C2×C22⋊C4C22×D5911yescharacteristic
1479C2×C22⋊C4C22×D5911yescharacteristic
1480C2×C22⋊C4C22×D5911yescharacteristic
1481C2×C22⋊C4C22×D5911yescharacteristic
1482C2×C22⋊C4C22×D5918yescomplemented
1483C2×C22⋊C4C22×D5918yescomplemented
1484C2×C42—591no—
1485C2×C42—591no—
1486C2×C42—591no—
1487C2×C42—591no—
1488C2×C42—591no—
1489C2×C42—591no—
1490C2×C42—591no—
1491C2×C42—591no—
1492C2×C42—591no—
1493C2×C42—591no—
1494C2×C42—591no—
1495C2×C42—591no—
1496C2×C42—591no—
1497C2×C42—598no—
1498C2×C42—598no—
1499C2×C42C22×D5911yescharacteristic
1500C2×C42C22×D5911yescharacteristic
1501C2×C42C22×D5911yescharacteristic
1502C24—24no—
1503C24—42no—
1504C24—42no—
1505C24—591no—
1506C24—591no—
1507C24—598no—
1508C24—594no—
1509C24—591no—
1510C24—594no—
1511C24—1184no—
1512C24—2362no—
1513C24—2362no—
1514C24—2362no—
1515C24—2362no—
1516C24C23×D5911yescharacteristic
1517C24C23×D5911yescharacteristic
1518C24C23×D5911yescharacteristic
1519C24C23×D5911yescharacteristic
1520C24C23×D5914yes—
1521C2×Q8—42no—
1522C2×Q8—594no—
1523C2×Q8—594no—
1524C2×Q8—594no—
1525C2×Q8—2362no—
1526C2×Q8—2362no—
1527C2×Q8—2362no—
1528C2×Q8C23×D5914yes—
1529C2×D4—24no—
1530C2×D4—42no—
1531C2×D4—42no—
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—11832no—
1543C2×D4—1184no—
1544C2×D4—1184no—
1545C2×D4—1184no—
1546C2×D4—1184no—
1547C2×D4—1184no—
1548C2×D4—11832no—
1549C2×D4—1184no—
1550C2×D4—2362no—
1551C2×D4—2362no—
1552C2×D4C23×D5914yes—
1553C2×D4C23×D5914yes—
1554C2×D4C23×D5914yes—
1555C22×C4—24no—
1556C22×C4—42no—
1557C22×C4—42no—
1558C22×C4—42no—
1559C22×C4—42no—
1560C22×C4—594no—
1561C22×C4—594no—
1562C22×C4—591no—
1563C22×C4—591no—
1564C22×C4—591no—
1565C22×C4—591no—
1566C22×C4—591no—
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—594no—
1576C22×C4—594no—
1577C22×C4—594no—
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—1184no—
1593C22×C4—1184no—
1594C22×C4—1184no—
1595C22×C4—1184no—
1596C22×C4—11832no—
1597C22×C4—1184no—
1598C22×C4—1184no—
1599C22×C4—1184no—
1600C22×C4—2362no—
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×C4—2362no—
1612C22×C4C23×D5914yes—
1613C22×C4C23×D5911yescharacteristic
1614C22×C4C23×D5911yescharacteristic
1615C22×C4C23×D5911yescharacteristic
1616C22×C4C23×D5911yescharacteristic
1617C22×C4C23×D5911yescharacteristic
1618C22×C4C23×D5911yescharacteristic
1619C22×C4C23×D5911yescharacteristic
1620C22×C4C23×D5911yescharacteristic
1621C22×C4C23×D5911yescharacteristic
1622C22×C4C23×D5911yescharacteristic
1623C22×C4C23×D5911yescharacteristic
1624C22×C4C23×D5914yes—
1625C22×C4C23×D5914yes—
1626C22×C4C23×D5914yes—
1627C22×C4C23×D5914yes—
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⋊C4—594no—
1663C4⋊C4—594no—
1664C4⋊C4—594no—
1665C4⋊C4—594no—
1666C4⋊C4—594no—
1667C4⋊C4—594no—
1668C4⋊C4C23×D5914yes—
1669C4⋊C4C23×D5914yes—
1670C4⋊C4C23×D5914yes—
1671C4⋊C4C23×D5914yes—
1672C4⋊C4C23×D5914yes—
1673C4⋊C4C23×D5914yes—
1674C4⋊C4C23×D5914yes—
1675C4⋊C4C23×D5914yes—
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⋊C4—594no—
1707C22⋊C4—594no—
1708C22⋊C4—594no—
1709C22⋊C4—594no—
1710C22⋊C4C23×D5914yes—
1711C22⋊C4C23×D5914yes—
1712C22⋊C4C23×D5914yes—
1713C22⋊C4C23×D5914yes—
1714C22⋊C4C23×D5914yes—
1715C22⋊C4C23×D5914yes—
1716C22⋊C4C23×D5914yes—
1717C22⋊C4C23×D5914yes—
1718C22⋊C4C23×D5914yes—
1719C22⋊C4C23×D5914yes—
1720C22⋊C4C23×D5914yes—
1721C22⋊C4C23×D5914yes—
1722C22⋊C4C23×D5914yes—
1723C22⋊C4C23×D5914yes—
1724C42—594no—
1725C42—594no—
1726C42—594no—
1727C42—594no—
1728C42—594no—
1729C42—594no—
1730C42—594no—
1731C42—594no—
1732C42—594no—
1733C42—594no—
1734C42—594no—
1735C42—594no—
1736C42—594no—
1737C42C23×D5914yes—
1738C42C23×D5914yes—
1739C42C23×D5914yes—
1740C23—22no—
1741C23—22no—
1742C23—22no—
1743C23—22no—
1744C23—22no—
1745C23—22no—
1746C23—22no—
1747C23—22no—
1748C23—22no—
1749C23—22no—
1750C23—22no—
1751C23—28no—
1752C23—44no—
1753C23—44no—
1754C23—88no—
1755C23—594no—
1756C23—594no—
1757C23—592no—
1758C23—592no—
1759C23—5916no—
1760C23—592no—
1761C23—1188no—
1762C23—1182no—
1763C23—1182no—
1764C23—1182no—
1765C23—1182no—
1766C23—1182no—
1767C23—1182no—
1768C23—1182no—
1769C23—4728no—
1770C23—2364no—
1771C23—2364no—
1772C23—23616no—
1773C23—2364no—
1774C23—2364no—
1775C23#41×D5914yes—
1776C23C24×D5912yes—
1777C23C24×D5912yes—
1778C23C24×D5912yes—
1779C23C24×D5912yes—
1780C23C24×D5911yescharacteristic
1781Q8—44no—
1782Q8—2364no—
1783Q8—2364no—
1784Q8—2364no—
1785D4—28no—
1786D4—44no—
1787D4—44no—
1788D4—1188no—
1789D4—1188no—
1790D4—1188no—
1791D4—1188no—
1792D4—1188no—
1793D4—1188no—
1794D4—1188no—
1795D4—2364no—
1796D4—2364no—
1797C2×C4—28no—
1798C2×C4—22no—
1799C2×C4—22no—
1800C2×C4—22no—
1801C2×C4—22no—
1802C2×C4—22no—
1803C2×C4—22no—
1804C2×C4—22no—
1805C2×C4—22no—
1806C2×C4—22no—
1807C2×C4—22no—
1808C2×C4—22no—
1809C2×C4—44no—
1810C2×C4—44no—
1811C2×C4—44no—
1812C2×C4—44no—
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—592no—
1824C2×C4—592no—
1825C2×C4—592no—
1826C2×C4—1188no—
1827C2×C4—1188no—
1828C2×C4—1188no—
1829C2×C4—1188no—
1830C2×C4—1188no—
1831C2×C4—1188no—
1832C2×C4—1182no—
1833C2×C4—1182no—
1834C2×C4—1188no—
1835C2×C4—1182no—
1836C2×C4—1182no—
1837C2×C4—1182no—
1838C2×C4—1182no—
1839C2×C4—1182no—
1840C2×C4—1182no—
1841C2×C4—1182no—
1842C2×C4—1182no—
1843C2×C4—1182no—
1844C2×C4—1182no—
1845C2×C4—1182no—
1846C2×C4—2364no—
1847C2×C4—2364no—
1848C2×C4—2364no—
1849C2×C4—2364no—
1850C2×C4—2364no—
1851C2×C4—2364no—
1852C2×C4—2364no—
1853C2×C4—2364no—
1854C2×C4—2364no—
1855C2×C4—2364no—
1856C2×C4—2364no—
1857C2×C4—2364no—
1858C2×C4C24×D5912yes—
1859C2×C4C24×D5912yes—
1860C2×C4C24×D5912yes—
1861C2×C4C24×D5912yes—
1862C2×C4C24×D5912yes—
1863C2×C4C24×D5912yes—
1864C2×C4C24×D5912yes—
1865C2×C4C24×D5912yes—
1866C2×C4C24×D5912yes—
1867C2×C4C24×D5912yes—
1868C2×C4C24×D5912yes—
1869C22—28no—
1870C22—22no—
1871C22—22no—
1872C22—22no—
1873C22—22no—
1874C22—22no—
1875C22—22no—
1876C22—22no—
1877C22—22no—
1878C22—22no—
1879C22—22no—
1880C22—22no—
1881C22—44no—
1882C22—44no—
1883C22—44no—
1884C22—88no—
1885C22—594no—
1886C22—594no—
1887C22—1188no—
1888C22—1188no—
1889C22—1182no—
1890C22—1182no—
1891C22—1182no—
1892C22—1182no—
1893C22—1182no—
1894C22—1182no—
1895C22—1182no—
1896C22—4728no—
1897C22—23616no—
1898C22—2364no—
1899C22C2×#41×D5914yes—
1900C22C2×#41×D5912yes—
1901C22#1683823712yes—
1902C22#1683823812yes—
1903C22C25×D5911yescharacteristic
1904C4—22no—
1905C4—22no—
1906C4—22no—
1907C4—22no—
1908C4—22no—
1909C4—22no—
1910C4—22no—
1911C4—22no—
1912C4—22no—
1913C4—22no—
1914C4—22no—
1915C4—1182no—
1916C4—1182no—
1917C4—1182no—
1918C4—1182no—
1919C4—1182no—
1920C4—1182no—
1921C4—1182no—
1922C4—1182no—
1923C4—1182no—
1924C4—1182no—
1925C4—1182no—
1926C4—1182no—
1927C4—1182no—
1928C2—24no—
1929C2—42no—
1930C2—42no—
1931C2—42no—
1932C2—1184no—
1933C2—1184no—
1934C2—2362no—
1935C2#2143778714yesdirect product factor
1936C2C22×#41×D5911yescharacteristic
1937C2C2×#1683823711yescharacteristic
1938C2C2×#1683823811yescharacteristic
subgroupG/H
centerC23C24×D59
commutator, cosocleC22×C59C26
FrattiniC22C25×D59
FittingC2×C59×#551C2
socleC23×C59C25
prime radicalC2×#16837962C2
hypercenterC2×#551D59
hypocenterC59C2×#3491
LCSG ▷ C22×C59 ▷ C59
UCSC1 ◁ C23 ◁ C2×#551

Complements

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

NH ≅ G/Ntype
1. #21437787C2direct (N × H)
2. C2×#16838094C2semidirect
3. C2×#16838092C2semidirect
4. C2×#16838091C2semidirect
5. C2×#16838089C2semidirect
6. C2×#16838088C2semidirect
7. C2×#16838088C2semidirect
8. C2×#16838086C2semidirect
9. C2×#16838085C2semidirect
10. C2×#16838083C2semidirect
11. C2×#16838082C2semidirect
12. C2×#16838081C2semidirect
13. C2×#16838080C2semidirect
14. C2×#16838078C2semidirect
15. C2×#16838078C2semidirect
16. C2×#16838075C2semidirect
17. C2×#16838027C2semidirect
18. C2×#16837998C2semidirect
19. C2×#16837995C2semidirect
20. C2×#16837995C2semidirect
21. C2×#16837993C2semidirect
23. C2×#16837935C2semidirect
24. C2×#16837934C2semidirect
25. C2×#16837931C2semidirect
26. C2×#16837930C2semidirect
27. C22×#14273709C2semidirect
28. C2×#123×D59C2semidirect
29. C2×#16837875C2semidirect
30. C2×#16837874C2semidirect
31. C2×#117×D59C2semidirect
32. C2×C59×#551C2semidirect
36. #16838094C22semidirect
37. #16838092C22semidirect
38. #16838091C22semidirect
39. #16838089C22semidirect
40. #16838088C22semidirect
41. #16838088C22semidirect
42. #16838086C22semidirect
43. #16838085C22semidirect
44. #16838083C22semidirect
45. #16838082C22semidirect
46. #16838081C22semidirect
47. #16838080C22semidirect
48. #16838078C22semidirect
49. #16838078C22semidirect
50. #16838075C22semidirect
51. #16838027C22semidirect
52. #16837998C22semidirect
53. #16837995C22semidirect
54. #16837995C22semidirect
55. #16837993C22semidirect
57. #16837935C22semidirect
58. #16837934C22semidirect
59. #16837931C22semidirect
60. #16837930C22semidirect
61. C2×#14273722C22semidirect
62. C2×#14273722C22semidirect
63. C2×#14273722C22semidirect
64. C2×#14273721C22semidirect
65. C2×#14273720C22semidirect
66. C2×#14273720C22semidirect
67. C2×#14273720C22semidirect
68. C2×#14273720C22semidirect
69. C2×#14273720C22semidirect
70. C2×#14273720C22semidirect
71. C2×#14273720C22semidirect
72. C2×#14273720C22semidirect
73. C2×#14273720C22semidirect
74. C2×#14273720C22semidirect
75. C2×#14273719C22semidirect
76. C2×#14273719C22semidirect
77. C2×#14273718C22semidirect
78. C2×#14273718C22semidirect
79. C2×#14273718C22semidirect
80. C2×#14273718C22semidirect
81. C2×#14273717C22semidirect
82. C2×#14273717C22semidirect
83. C2×#14273717C22semidirect
84. C2×#14273717C22semidirect
85. C2×#14273717C22semidirect
86. C2×#14273717C22semidirect
87. C2×#14273714C22semidirect
88. C2×#14273713C22semidirect
89. C2×#14273713C22semidirect
90. C2×#14273712C22semidirect
91. C2×#14273712C22semidirect
94. C2×#14273711C22semidirect
96. C2×#14273710C22semidirect
103. C2×#14273709C22semidirect
104. C2×#14273709C22semidirect
105. C2×#14273709C22semidirect
106. C2×#14273709C22semidirect
107. C2×#14273709C22semidirect
108. C2×#14273709C22semidirect
109. C2×#14273709C22semidirect
110. C2×#14273709C22semidirect
111. C2×#14273709C22semidirect
114. C2×#14273708C22semidirect
115. C2×#14273708C22semidirect
116. #123×D59C22semidirect
117. C2×#14273707C22semidirect
118. C2×#14273707C22semidirect
119. C2×#14273706C22semidirect
120. C2×#14273706C22semidirect
121. C2×#14273706C22semidirect
122. C2×#14273705C22semidirect
123. C2×#14273705C22semidirect
124. C2×#14273705C22semidirect
125. C2×#14273705C22semidirect
126. C2×#14273705C22semidirect
127. C2×#14273704C22semidirect
128. C2×#14273704C22semidirect
129. C2×#14273704C22semidirect
130. C2×#14273704C22semidirect
131. C2×#14273704C22semidirect
132. C2×#14273703C22semidirect
133. C2×#14273703C22semidirect
134. C2×#14273703C22semidirect
142. #16837875C22semidirect
143. #16837874C22semidirect
144. C2×Q8×Dic59C22semidirect
145. C2×C4×Dic118C22semidirect
146. C2×C4×Dic118C22semidirect
147. C2×#14273692C22semidirect
148. C2×C4×D236C22semidirect
150. C2×D4×Dic59C22semidirect
151. C2×#14273689C22semidirect
155. C2×C4×C22⋊D59C22semidirect
156. C2×C4×C22⋊D59C22semidirect
157. C2×C4×C22⋊D59C22semidirect
158. C2×C4×C22⋊D59C22semidirect
162. C2×(C22⋊D59)⋊C4C22semidirect
163. C2×(C22⋊D59)⋊C4C22semidirect
164. C2×(C22⋊D59)⋊C4C22semidirect
165. C2×(C22⋊D59)⋊C4C22semidirect
166. C2×#14273686C22semidirect
167. C2×#14273686C22semidirect
168. C2×#14273686C22semidirect
169. C2×#14273685C22semidirect
170. C2×#14273685C22semidirect
171. C2×#14273685C22semidirect
172. C2×#14273685C22semidirect
173. C2×#14273684C22semidirect
174. C2×#14273684C22semidirect
175. C2×#14273684C22semidirect
176. C2×#14273684C22semidirect
177. C2×#14273683C22semidirect
178. C2×#14273683C22semidirect
179. C2×#14273683C22semidirect
180. C2×#14273683C22semidirect
181. C2×#14273683C22semidirect
182. C2×#14273683C22semidirect
183. C2×#14273683C22semidirect
184. #117×D59C22semidirect
185. C22×C4⋊Dic59C22semidirect
186. C22×Dic59⋊C4C22semidirect
187. C2×C4⋊C4×D59C22semidirect
188. C2×C4⋊C4×D59C22semidirect
189. C2×C4⋊C4×D59C22semidirect
190. C2×C4⋊C4×D59C22semidirect
191. C22×C22⋊Dic59C22semidirect
192. C22×C22⋊Dic59C22semidirect
194. C22×(C2×D59)⋊C4C22semidirect
198. C2×C22⋊C4×D59C22semidirect
199. C2×C22⋊C4×D59C22semidirect
200. C2×C22⋊C4×D59C22semidirect
201. C2×C42×D59C22semidirect
202. C2×C42×D59C22semidirect
203. C59×#551C22semidirect
204. C2×#126×C59C22semidirect
205. C2×#126×C59C22semidirect
206. C2×#124×C59C22semidirect
208. C2×#123×C59C22semidirect
209. C2×#123×C59C22semidirect
210. C2×C22⋊Q8×C59C22semidirect
211. C2×C22⋊Q8×C59C22semidirect
214. C2×C4×D4×C59C22semidirect
215. C2×#117×C59C22semidirect
216. C2×#117×C59C22semidirect
217. C22×C22⋊C4×C59C22semidirect
218. C22×C22⋊C4×C59C22semidirect
258. #14273722C23semidirect
259. #14273722C23semidirect
260. #14273722C23semidirect
261. #14273721C23semidirect
262. #14273720C23semidirect
263. #14273720C23semidirect
264. #14273720C23semidirect
265. #14273720C23semidirect
266. #14273720C23semidirect
267. #14273720C23semidirect
268. #14273720C23semidirect
269. #14273720C23semidirect
270. #14273720C23semidirect
271. #14273720C23semidirect
272. #14273719C23semidirect
273. #14273719C23semidirect
274. #14273718C23semidirect
275. #14273718C23semidirect
276. #14273718C23semidirect
277. #14273718C23semidirect
278. #14273717C23semidirect
279. #14273717C23semidirect
280. #14273717C23semidirect
281. #14273717C23semidirect
282. #14273717C23semidirect
283. #14273717C23semidirect
284. #14273714C23semidirect
285. #14273713C23semidirect
286. #14273713C23semidirect
287. #14273712C23semidirect
288. #14273712C23semidirect
291. #14273711C23semidirect
293. #14273710C23semidirect
300. #14273709C23semidirect
301. #14273709C23semidirect
302. #14273709C23semidirect
303. #14273709C23semidirect
304. #14273709C23semidirect
305. #14273709C23semidirect
306. #14273709C23semidirect
307. #14273709C23semidirect
310. #14273708C23semidirect
311. #14273708C23semidirect
312. #14273707C23semidirect
313. #14273707C23semidirect
314. #14273706C23semidirect
315. #14273706C23semidirect
316. #14273706C23semidirect
317. #14273705C23semidirect
318. #14273705C23semidirect
319. #14273705C23semidirect
320. #14273705C23semidirect
321. #14273705C23semidirect
322. #14273704C23semidirect
323. #14273704C23semidirect
324. #14273704C23semidirect
325. #14273704C23semidirect
326. #14273704C23semidirect
327. #14273703C23semidirect
328. #14273703C23semidirect
329. #14273703C23semidirect
337. Q8×Dic59C23semidirect
338. C4×Dic118C23semidirect
339. C4×Dic118C23semidirect
340. #14273692C23semidirect
341. C4×D236C23semidirect
343. D4×Dic59C23semidirect
344. #14273689C23semidirect
348. C4×C22⋊D59C23semidirect
349. C4×C22⋊D59C23semidirect
350. C4×C22⋊D59C23semidirect
351. C4×C22⋊D59C23semidirect
355. (C22⋊D59)⋊C4C23semidirect
356. (C22⋊D59)⋊C4C23semidirect
357. (C22⋊D59)⋊C4C23semidirect
358. (C22⋊D59)⋊C4C23semidirect
359. #14273686C23semidirect
360. #14273686C23semidirect
361. #14273686C23semidirect
362. #14273685C23semidirect
363. #14273685C23semidirect
364. #14273685C23semidirect
365. #14273685C23semidirect
366. #14273684C23semidirect
367. #14273684C23semidirect
368. #14273684C23semidirect
369. #14273684C23semidirect
370. #14273683C23semidirect
371. #14273683C23semidirect
372. #14273683C23semidirect
373. #14273683C23semidirect
374. #14273683C23semidirect
375. #14273683C23semidirect
376. #14273683C23semidirect
391. C2×C4⋊Dic59C23semidirect
418. C2×Dic59⋊C4C23semidirect
419. C4⋊C4×D59C23semidirect
420. C4⋊C4×D59C23semidirect
421. C4⋊C4×D59C23semidirect
422. C4⋊C4×D59C23semidirect
439. C2×C22⋊Dic59C23semidirect
440. C2×C22⋊Dic59C23semidirect
460. C2×(C2×D59)⋊C4C23semidirect
464. C22⋊C4×D59C23semidirect
465. C22⋊C4×D59C23semidirect
466. C22⋊C4×D59C23semidirect
480. C42×D59C23semidirect
481. C42×D59C23semidirect
492. #126×C59C23semidirect
493. #126×C59C23semidirect
494. #124×C59C23semidirect
496. #123×C59C23semidirect
497. #123×C59C23semidirect
498. C22⋊Q8×C59C23semidirect
499. C22⋊Q8×C59C23semidirect
502. C4×D4×C59C23semidirect
503. #117×C59C23semidirect
504. #117×C59C23semidirect
527. C2×C22⋊C4×C59C23semidirect
528. C2×C22⋊C4×C59C23semidirect
975. C2×#551D59semidirect
995. C2×C59#3491semidirect
1020. #551C2×D59semidirect
1045. C2×#126C2×D59semidirect
1046. C2×#126C2×D59semidirect
1062. C2×#124C2×D59semidirect
1091. C2×#123C2×D59semidirect
1092. C2×#123C2×D59semidirect
1111. C2×C22⋊Q8C2×D59semidirect
1112. C2×C22⋊Q8C2×D59semidirect
1146. C2×C4×D4C2×D59semidirect
1166. C2×#117C2×D59semidirect
1167. C2×#117C2×D59semidirect
1184. C22×C22⋊C4C2×D59semidirect
1185. C22×C22⋊C4C2×D59semidirect
1188. C59C2×#3491semidirect
1252. #126C22×D59semidirect
1253. #126C22×D59semidirect
1269. #124C22×D59semidirect
1296. #123C22×D59semidirect
1297. #123C22×D59semidirect
1316. C22⋊Q8C22×D59semidirect
1317. C22⋊Q8C22×D59semidirect
1349. C4×D4C22×D59semidirect
1368. #117C22×D59semidirect
1369. #117C22×D59semidirect
1482. C2×C22⋊C4C22×D59semidirect
1483. C2×C22⋊C4C22×D59semidirect
1935. C2#21437787direct (N × H)

Maximal subgroups

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

subgroupindex
#214377872
C2×#168380942
C2×#168380922
C2×#168380912
C2×#168380892
C2×#168380882
C2×#168380862
C2×#168380852
C2×#168380832
C2×#168380822
C2×#168380812
C2×#168380802
C2×#168380782
C2×#168380752
C2×#168380272
C2×#168379982
C2×#168379952
C2×#168379932
C2×#168379622
C2×#168379352
C2×#168379342
C2×#168379312
C2×#168379302
C22×#142737092
C2×#123×D592
C2×#168378752
C2×#168378742
C2×#117×D592
C2×C59×#5512
C2×#349159